From 757418e6d44a47c34c138eeb5f07baec80238e1a Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 21 Oct 2022 22:04:07 -0400 Subject: [PATCH 01/11] Created using Colaboratory --- STATS_500_Hw_4_001.ipynb | 625 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 625 insertions(+) create mode 100644 STATS_500_Hw_4_001.ipynb diff --git a/STATS_500_Hw_4_001.ipynb b/STATS_500_Hw_4_001.ipynb new file mode 100644 index 00000000..ccfb8331 --- /dev/null +++ b/STATS_500_Hw_4_001.ipynb @@ -0,0 +1,625 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyMRu1sIN1DKGotUtvcXGjRo", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 4\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(teengamb)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1_residuals <- residuals(mdl1)\n", + "mdl2_residuals <- residuals(mdl2)\n", + "mdl1_fitted <- fitted.values(mdl1)\n", + "mdl2_fitted <- fitted.values(mdl2)" + ], + "metadata": { + "id": "x_hGzyjMEvJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 2))\n", + "plot(mdl1)\n", + "plot(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 857 + }, + "id": "NoUDr3imxTKH", + "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “”" + ], + "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1**\n", + "\n", + "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." + ], + "metadata": { + "id": "6nEG7IN658fI" + } + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 1))\n", + "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", + "\n", + "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "3mvQ5Sv_G6Bi", + "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" + }, + "execution_count": 58, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "KVAfsDb-5TCv", + "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-24.944 -7.411 -2.467 3.409 68.590 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", + "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 15.02 on 45 degrees of freedom\n", + "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", + "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "gLTt4w6W5ZDZ", + "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", + "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.6626 on 45 degrees of freedom\n", + "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", + "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2**\n", + "\n", + "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", + "\n", + "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." + ], + "metadata": { + "id": "IOdFGv6K6yTo" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "jbKkvsq28pOV" + } + }, + { + "cell_type": "code", + "source": [ + "shapiro.test(mdl2_residuals)" + ], + "metadata": { + "id": "4kkU-JXs8jtS", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" + }, + "execution_count": 29, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "\tShapiro-Wilk normality test\n", + "\n", + "data: mdl2_residuals\n", + "W = 0.97609, p-value = 0.4418\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1**\n", + "\n", + "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" + ], + "metadata": { + "id": "WXDmMG4hPJZk" + } + }, + { + "cell_type": "markdown", + "source": [ + "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" + ], + "metadata": { + "id": "jwArgTQWPsuO" + } + }, + { + "cell_type": "code", + "source": [ + "ext_stud_res = rstudent(mdl2)\n", + "dof = mdl2$df.residual - 1\n", + "alpha = 0.5/47\n", + "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "HFvzFdu2P4T6", + "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" + }, + "execution_count": 48, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "0" + ], + "text/markdown": "0", + "text/latex": "0", + "text/plain": [ + "[1] 0" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2**\n", + "\n", + "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." + ], + "metadata": { + "id": "BFMM1FTzS0r4" + } + }, + { + "cell_type": "code", + "source": [ + "cook = cooks.distance(mdl2)\n", + "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", + "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "aT3jMWiQPYMb", + "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" + }, + "execution_count": 63, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “Half-normal Plot”" + ], + "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "aAh8bKABa78_", + "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" + }, + "execution_count": 62, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", + "sex -0.87120 0.39268 -2.219 0.0320 * \n", + "status 0.02983 0.01344 2.219 0.0320 * \n", + "income 0.21565 0.04904 4.398 7.33e-05 ***\n", + "verbal -0.26165 0.10388 -2.519 0.0157 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.085 on 42 degrees of freedom\n", + "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", + "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2_wo_inf)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "NPJN4AVja4l4", + "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" + }, + "execution_count": 61, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", + " 1])\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", + "sex -0.86785 0.41992 -2.067 0.04528 * \n", + "status 0.03097 0.01427 2.170 0.03604 * \n", + "income 0.21987 0.04688 4.690 3.16e-05 ***\n", + "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.033 on 40 degrees of freedom\n", + "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", + "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "influence = lm.influence(mdl2)\n", + "head(influence$coefficients, 10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 380 + }, + "id": "JUhuuFsNawhG", + "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" + }, + "execution_count": 59, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" + ], + "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", + "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", + "text/plain": [ + " (Intercept) sex status income verbal \n", + "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", + "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", + "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", + "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", + "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", + "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", + "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", + "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", + "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", + "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.3**\n", + "\n", + "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", + "\n", + "The model without influencers has an improved R^2 value.\n", + "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table." + ], + "metadata": { + "id": "-4vrIqhZUSyJ" + } + } + ] +} \ No newline at end of file From bf8b5c2f6de238aef0c1900347bf48ad4c5237ee Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 21 Oct 2022 22:13:36 -0400 Subject: [PATCH 02/11] Created using Colaboratory --- STATS_500_Hw_4_002.ipynb | 634 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 634 insertions(+) create mode 100644 STATS_500_Hw_4_002.ipynb diff --git a/STATS_500_Hw_4_002.ipynb b/STATS_500_Hw_4_002.ipynb new file mode 100644 index 00000000..8f4dd848 --- /dev/null +++ b/STATS_500_Hw_4_002.ipynb @@ -0,0 +1,634 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyNvdb1on9UYLcbTMOXtliHL", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 4\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(teengamb)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1_residuals <- residuals(mdl1)\n", + "mdl2_residuals <- residuals(mdl2)\n", + "mdl1_fitted <- fitted.values(mdl1)\n", + "mdl2_fitted <- fitted.values(mdl2)" + ], + "metadata": { + "id": "x_hGzyjMEvJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 2))\n", + "plot(mdl1)\n", + "plot(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 857 + }, + "id": "NoUDr3imxTKH", + "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “”" + ], + "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1**\n", + "\n", + "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." + ], + "metadata": { + "id": "6nEG7IN658fI" + } + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 1))\n", + "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", + "\n", + "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "3mvQ5Sv_G6Bi", + "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "KVAfsDb-5TCv", + "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-24.944 -7.411 -2.467 3.409 68.590 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", + "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 15.02 on 45 degrees of freedom\n", + "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", + "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "gLTt4w6W5ZDZ", + "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", + "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.6626 on 45 degrees of freedom\n", + "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", + "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2**\n", + "\n", + "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", + "\n", + "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." + ], + "metadata": { + "id": "IOdFGv6K6yTo" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "jbKkvsq28pOV" + } + }, + { + "cell_type": "code", + "source": [ + "shapiro.test(mdl2_residuals)" + ], + "metadata": { + "id": "4kkU-JXs8jtS", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "\tShapiro-Wilk normality test\n", + "\n", + "data: mdl2_residuals\n", + "W = 0.97609, p-value = 0.4418\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1**\n", + "\n", + "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" + ], + "metadata": { + "id": "WXDmMG4hPJZk" + } + }, + { + "cell_type": "markdown", + "source": [ + "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" + ], + "metadata": { + "id": "jwArgTQWPsuO" + } + }, + { + "cell_type": "code", + "source": [ + "ext_stud_res = rstudent(mdl2)\n", + "dof = mdl2$df.residual - 1\n", + "alpha = 0.5/47\n", + "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "HFvzFdu2P4T6", + "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "0" + ], + "text/markdown": "0", + "text/latex": "0", + "text/plain": [ + "[1] 0" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2**\n", + "\n", + "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." + ], + "metadata": { + "id": "BFMM1FTzS0r4" + } + }, + { + "cell_type": "code", + "source": [ + "cook = cooks.distance(mdl2)\n", + "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", + "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "aT3jMWiQPYMb", + "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “Half-normal Plot”" + ], + "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z\nvrr2zPtHlj85T+KhXAqpah/Hhd3DSObRICSP86W1z3eHNjxuSeM9iIdyKST/UY4Lh/qTzKNB\nSJ5nc1t/Zk5YxnsMT+VSSDWTHRe2wbF23i5nL951uVQuhXR36Mn81XQL5aM5CAkE41JIS1jX\ny9ramcbsc7KZEBIIx6WQbO1Yw2VnJen42/GsK+VUCAkE49qRDafvYsxUKYwx1ov012eEBIJx\n9aDVr3rXDQm75sF1dBMpEBIIBu8hC0AAIQEQQEgABBASAAGEBEAAIQEQQEgABPiEdCZV/6wW\nhASC4RPSoTKOzENIIBhDQxqUrzdrP2iQzo4ICQRjaEisCJ0dERIIxtCQHjUnrDyt2Mk+Oq33\nSngICQRj7N9IWxJMw/6T8DcSeB2DH2y4/FxQ9FKEBF7H8Eft9iaxLgcREngZDg9/vxsZOgkh\ngXfh8TzSsfsYQgLvwucJ2a/G7NLdjpBAMEaHZNu3atmy1QfL2AshgWCMDSlzTJT2ZGzcFN0X\nS0FIIBhDQ8qow+oPmJSW9nTvaNYgU2dHhASCMfZYO+ti+1ruHFOKzo4ICQRjaEg1BjrWe8Xq\n7IiQQDCGhmSd5lifrPfuFQgJBGNoSPE9HevJtXV2REggGENDSjHNzNbWzk9kqTo7IiQQjKEh\nnU5kYUkDRo7o3zqYtSyeyom+PQo0REggFmOfR7o0K8GsPI1kbTo3t/i2/x55qEBLhARiMfwQ\noaw927alXypjJ/xqB4LBy3EBEEBIAAR4hbQ3KUlnK0ICwfAKaTteRcjTZfEeQCi8QsrasUNn\nK0Iy2uVfl6z7r9DnGztXZbF907nNIxz8jQSyj2qxapaAlIIfQgssvRdvWNAm9MrvHL4KJ/aB\n0s2UE1L2ipi7bdrnB4NeURa2IbXx+1054cQ+kM5HvqAu/wr8VLtg6g1aUWdDPuU1k2hwYh9I\nK0Lth0D26actez1s39LiWS4DCQgn9oH06k32lWdbaMvuI+wXtHqGxzwiwol9IM3PP6Xl8Q7a\ncsKt2jI74mMuAwkIJ/aBtJP9ri7zbpisXfCX9QN1+WR1/P9QTjixDySpY8MT8kfb4+EZ9gte\ntIz58Z/v+li/4DmVUHBiH0jSicSqw2c/mRj+bcElnyaamX/bzRxnEoznnNhXGEIyWPYb3W+8\nY/yhwhdl/X2Z1zQi8pwT+wpDSCAYnNgHQADH2gEQQEgABBASAAGEBEAAIQEQQEgABBASAAGE\nBEAAIQEQQEi+6fdH27V86DveU3gRhOSTXrW0fmraPdaH8ngP4jUQki/6zvw/ZbE54gXek3gN\nhOSL2j+oLV+tjh9JRBCSLwq1v8rWP2wP30G8B0LyQXl+32srZ9g2roN4EYTki+Le0pY/m47z\nHcR7ICRfNPpG7aWIe7biO4cXQUi+6Hhcmz8k6d+BwfjNjgpC8kkHklil6uz6jbzn8B4IyUft\nW/7R73jsmw5CAiCAkAAIICQAAggJgABC8hGHUhpVa5RyqOwdoUIQkm/YWLlR2tK0hpU38R7E\nWyEkn3A+ZrDyYuu5g2PO8x7FSyEkn7CgygV1eSFyIedJvBVC8gkpyfaVu0dzncN7ISSf8HAv\n+0qvYVzn8F4IySe8cJ195doXuc7hvRCSTzjgv0hdLvI/wHkSb4WQfMPMgGf35e6dEjCT9yDe\nCiH5iAVxjLE4PGbnLgjJZ/yz7h/eI3gxhOS1Lr2efG3zUX/xHsNHICRvldm46qg3p7YM/Jj3\nIL4BIXmrHjcdUxZpAXjpOiMgJC/1j8n+ggzNH+E7iI9ASF5qSRX7yrSmXOfwFQjJS70fZ195\n5Wauc/gKhOSl1lkztZWhyfo7AgmE5KUux45Tl3+H/o/zJL4BIXmrLyyPHpAurIhvj1evMwJC\n8lrf1GehfgGjLvCewzcgJO+Vl/7ZxjO8h/AVCAmAAEICIICQAAggJAACCAmAAEICIICQAAgg\nJAACCAmAAEICIMAtpMz9OhsREgjG2JB+6xjfYk6uupqqdy0ICQRjaEg/BrBgK2ulnnGGkMCb\nGBpSJ+tyW/Ys663Km10hJPAmhoYU20/5uNq/Yy5CAu9iaEjWiepiAXsEIYF3MTSkmLu15XiW\nhpDAqxga0iOm2TnK0tafjR6FkMCLGBrSyTjWTl2xPcIYQqJ3cmxicL1eW3mP4YuMfR7pxPD8\n9wL+pB5CIpcec/0LX87ranmf9yA+CIcIeQ9b47uyleXsgL28R/E9Rodk27dq2bLVB8vYCyFV\nxCY/+zuJNU7lO4gvMjakzPMhOIMAABhySURBVDFRTBU35aLefgipIt64xr4yrj3XOXySoSFl\n1GH1B0xKS3u6dzRrkKmzI0KqiFfzXy5/Umuuc/gkQ0MaZF1sX8udY0rR2REhVcTXQfZbrctD\nfAfxRYaGVGOgY71XrM6OCKkisms9ri5/NK/jPIkPMvYQoWmO9cn+OjsipAr52vrgz2f3zAob\nwXsQH2RoSPE9HevJtXV2REgV81NTxlj0bBvvOXyQoSGlmGZma2vnJ7LiD9Hmfra4wBCEVG7f\nd6tbpcXzWfbPzm77l+s0PsvQkE4nsrCkASNH9G8dzFoWT2V/VOUCwexsRb+Hr5lu7vf2JxOj\nb9F7EBTcz9jnkS7NSjArTyNZm87N1dsPv9qV1w9+nyqLUzf24T2JjzP8EKGsPdu2pV8qYyeE\nVF49emnLNebjfAfxdTjWTmz15mnLXP9VfAfxdQhJSDk7fziqrsQusF8S8iW/aYBfSHuTknS2\nIiRdORPCmJklKE+7tn1Mu+gvtofrSD6PV0jbcWLflbM/P2TrVn3Bscs7hljl3+bmR+xXL+p5\nK8e5gF9IWTt26GxFSM4uTEoIqNL2E3ltWeAu9ZLRtS9Lue1r/e/f8xvuCfuF73Q+D38jCeLk\nTfFp3y4d5T9akroP0C46ZVkvSdnjwhgztfmD73SAE/sE0ffm08riB/8V0i2z7JfVflf5mLtn\nM56+5g4n9onhlMX+8PaQu6Rm+cf+Vv+Q2zxQDE7sE8M6vxxtZVFNadTt2up2ls5vICgKJ/aJ\nYY05T1tZXE3aZZ2jrP3XuCPPiaAInNgnhsMm+6vVPdFSkt6zdnpl0VMx1x/lOxMUghP7BHFH\ne/Uw370RyjFBvw5oUKPNjAucR4JCcGKfIPZUa/XV4d1vVe+oe9g88OI5J/YVhpAc7A8ySAfu\nDWAs6pkc3Z2BF885sa8whGR35onrLJVafaJ9cvmvDL7TQOlwYp8nO1K//itrl6f4j+E9CJQF\nJ/Z5sq6NlXcJlb63fM17EigDjrXzYBl+9v9z+ifzHQTKhJA82Lf+9hMn3qnDdxAoE0LySLnq\ny2t9HWT/dEEcx1mgPBCS57HNaxjgd9UTZ6X97HftkpF4ewlPh5A8jq1f6IRVP7121fUnpFba\n0687gxfxHgrKgJA8zoKQX5XFmQb3S7urtvr84G+vRHbHixB7OoTkcVrYX89kpf9/0oEewYzF\nzsRhQR4PIXmcSsu15Xm2Wf6Yt+8U12mgfBCSp8h+oVW1q7qvlaTwFdoFF9kmvhPBFUBIHuJ0\noxpPL5nX1zxdavqkdsn3FvwsEgdC8hAPXH9CWXxqXvtWhPpaj1lN7+U7EVwJhMRdlvKQ3EnL\nt9pn992b26XqS1t3f5AQj3c6EghC4uvUI/X8wpovkdZYLmsXzK8jXX6+LmORg/H2EiJBSFwd\njL/hjR+/eNR/7NeB9ksWRSsfz+DlGASDkLi6s6V6UN0ay3tst3bJ4604jgMVhpB4OmDapq30\n7d6kh3r0wj+V3uI5EFQUQuLp81D7yptXbw+7Z+PFIx/EJl3mOhFUEELiaUW4fWXeVdIfbRhj\nIY9n6X4BeCqExNMe9qe2MriL/OHMpt34cSQqhMRVi87q8ai/BCzjPQm4BiFx9WfV2z/dt/X5\n8Ad4DwIuQkh8HegVxthVs3G+kegQEm+2g3ibMC+AkAAIICQAAggJgABCAiCAkAAIICQuTsx9\nZORbx3hPAXQQEg8fh8V0uzcu5H+85wAyCImD9ZbnciUp7yXLat6TABWEZKS/P5j64d+S1La/\n9unQ27hOA4QQkvutvbde1ZZpWVL2Q341b6vp9/BZ83fahvV+5/lOBmQQktvNMPedt3RCzcTM\nvjHfy5+uqdWT7dS27GP/8BwMCCEkd1vnp74E8ckb7/TTzivf4mf5Rtu01nyB21hACyG5W4+e\n2nK16Vb7JU2usl/0QGsuE4EbICR3qzdPW+b6Jdkvua9bwPhs+aafZL3y2x48FEJyt9gF9hVr\non0ladxX1Sq3TapSZQWvmYAcQnKb3NUvz/jsnNRmjPbpHhZwWF05FLhSOrdk4tMf4zwkL4KQ\n3OWXa/0TmoZVWfp2xH7lU1uvW5vcphwUdLRpM5wP630Qkpv8U6X3SUnKftaysn3MosMXNnYN\n+yWjUeg9Kcmhtx7hPRvQQ0hu8lAz7f0qR92clRrGGGu9Q5IuLx6d/OgSvI+lN0JIbhI9X1vu\nZAel3D2bzvCdBtwNIbmHzWw/IPWC+k6w4O0QkptU+VBb/s3S+Q4ChkBIbtIjWVtOj8NjdL4A\nIbnJdv8pefLi08B3eE8CRkBI1FZ3rVO5+XNZ0vLwun2H3GJ+lvc8YAiERGyq+f75yyZF35Ip\nHX91SN/pf/KeB4yBkGitNX+mLE7d2Jf3JGAohETk8BO3x7WdeKr7fdqnq80n+M4DxkJINDZG\nNpjy/sSro2Pe1j7PtX7HdyAwFkIicbbmEOXIn+xulvfslwR/xXMeMBpCIjGvuvber5nme7QL\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "aAh8bKABa78_", + "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", + "sex -0.87120 0.39268 -2.219 0.0320 * \n", + "status 0.02983 0.01344 2.219 0.0320 * \n", + "income 0.21565 0.04904 4.398 7.33e-05 ***\n", + "verbal -0.26165 0.10388 -2.519 0.0157 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.085 on 42 degrees of freedom\n", + "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", + "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2_wo_inf)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "NPJN4AVja4l4", + "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", + " 1])\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", + "sex -0.86785 0.41992 -2.067 0.04528 * \n", + "status 0.03097 0.01427 2.170 0.03604 * \n", + "income 0.21987 0.04688 4.690 3.16e-05 ***\n", + "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.033 on 40 degrees of freedom\n", + "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", + "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "influence = lm.influence(mdl2)\n", + "head(influence$coefficients, 10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 380 + }, + "id": "JUhuuFsNawhG", + "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" + ], + "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", + "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", + "text/plain": [ + " (Intercept) sex status income verbal \n", + "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", + "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", + "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", + "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", + "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", + "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", + "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", + "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", + "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", + "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.3**\n", + "\n", + "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", + "\n", + "The model without influencers has an improved R^2 value.\n", + "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table." + ], + "metadata": { + "id": "-4vrIqhZUSyJ" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "MdS1hNAHcvsM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 549f7b93b869246bc4503a5a71106b3299b736d2 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 21 Oct 2022 22:16:46 -0400 Subject: [PATCH 03/11] Created using Colaboratory --- STATS_500_Hw_4_004.ipynb | 653 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 653 insertions(+) create mode 100644 STATS_500_Hw_4_004.ipynb diff --git a/STATS_500_Hw_4_004.ipynb b/STATS_500_Hw_4_004.ipynb new file mode 100644 index 00000000..ca5b26bb --- /dev/null +++ b/STATS_500_Hw_4_004.ipynb @@ -0,0 +1,653 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyOIOhg6ixeDbourwDH4Uj2e", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 4\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(teengamb)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1_residuals <- residuals(mdl1)\n", + "mdl2_residuals <- residuals(mdl2)\n", + "mdl1_fitted <- fitted.values(mdl1)\n", + "mdl2_fitted <- fitted.values(mdl2)" + ], + "metadata": { + "id": "x_hGzyjMEvJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 2))\n", + "plot(mdl1)\n", + "plot(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 857 + }, + "id": "NoUDr3imxTKH", + "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “”" + ], + "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5\n5ZfOzk45OTn8YR4PkUhUVFTs7OxECNnZ2aWkpCxbtuzIkSPa2tr4+P8LFy7wd3InEAgmJiZV\nVVWivTIAhgGx9CcGw52lpSXMVAIkVi9P7E6dOrVhwwbe17j379+HhYWNHTv21q1be/fuvXLl\nSnR0tGiDlGZ3794NDg7GszqcvLz8woUL7969ixCysbFpb29/+vQp/0fevn1bUVFha2uLb/r4\n+Lx+/To9PX3Pnj3Xrl0jEol6enr8x2MYVlxc3HPuTQDA4sWL8eH27P/F4XAmTJgQHx8v7gCH\nVm1tLYfDEXcUAIDB1MuDt+jo6KVLl548eRLfjI2NxTAsISFBV1d36tSpVVVVcXFxQzR+YgTq\n7OzsORZBRUUFnxPY2Nh49uzZS5cuvXTpEv4FsaSkZPHixVOmTHF0dOQdTyaTJ06cOHHiRISQ\nl5fXzz//fO3aNV6yeOzYsdra2tmzZ4vokgAYPoKDg4ODg7Ozs69evcrreTJyDJfBEwCA/uvl\niV1ubm5wcDBv8/bt2xMnTuQ975k6darUT9opSlZWVvzzM+EyMjJ471LxOers7OycnZ3HjRtn\nbW1NoVCEPEiIjo7Ozc21tbXdunXrgQMHPvvss++///7IkSPwxA6AvoirP7HYDYuVJwAAH6WX\nJ3YsFou3sB2TyczKyuLvQayiooL37gKDYsWKFdOnT3d3d//mm28IBAKGYb/99ltCQgL+KhYh\nRKPRUlJSMjIysrKyOBxOZGSkh4eHkArNzMxyc3MPHDjw4MGD5uZme3v7Fy9eSOu8sgAM0Ajv\nT+zm5ibuEAAAg6yXNktTU7OysnLMmDEIobt373Z1dfGvI1RRUaGlpSW6AKWdl5fX4cOH165d\nu3v3bktLyzdv3tTX10dHR0+ZMoX/MN6b1v5QVlbetm3b4McKgHTB+xPzXlDg/YldXFy2bdv2\n/PnzTZs2RUdHQ7cTAMDw0kti5+bmdvToUXyw2O7du9XV1fkfEV26dInXbR8Mim+//Xb27Nl/\n/PFHaWnp3LlzZ82aBa9NARAB6E88LFaeAAB8lF762K1duzY9Pd3AwEBbW/vBgwfbt2/HO2E0\nNTWFhoYmJSUtW7ZM5HFKobq6umXLlunp6cnJyXl4eDQ1NW3btu3bb7+FrA4A0RBvf+K6uro3\nb970HJRaVVV14sSJoTsvP3zhQdGcCwAgGr0kduPHj793797UqVN9fHzi4uKWL1+Ol3d3d8fE\nxOzcuXPOnDmiDVIKVVRUODk5PX78eO/evXfu3AkLCzt06NCMGTMGZeqBR48eBQUFOTg4eHt7\n7969W3ifyPr6+sePH1dWVg78vAAMLz37E0+ePJm3d+j6E9fX10+fPl1TU9Pa2trQ0PDChQv8\ne/Pz8weyAOBHgcETAEif3vsFu7q6urq6ChRqamqWl5erq6sPfVTSb9u2bXp6eg8ePMAnH3Z3\nd/f397ezs4uLi1u8ePFAat65c+e2bdvmzZv39ddfMxiM6Ojo06dPp6en6+joCBxZXFy8evXq\nlJQUfHP8+PFHjx7F+1YCMBKIqz/x5s2bHz9+vH///lGjRl2/fn3hwoVFRUWbN28einMJB4Mn\nAJA+gondrVu3eOMxhZg3b56zs/PQhDQipKambt++nX9JCQMDg7lz5964cWMgiV12dvbWrVsv\nX77s6+uLl2zYsMHT0/OHH344d+4c/5H19fWTJ0+2srJ6/Pixra1tSUnJzp073d3dnzx5YmVl\n9ckBADCMiKs/8R9//LFnz57Q0FCE0Ny5c6dPnx4cHEyn03mvRwAA4JMJJnYlJSUC6xz0auLE\niZDYDURzc7OGhoZAoaam5qtXrwZSbVJSkouLCy+rQwgpKipu3rw5KCiIzWbzT9xw5MgRZWXl\nGzdu4Mnl6NGjz58/P3369F27dsXGxg4kBgCGi7Vr13p5eRkYGLBYrPr6+mPHjvH6E2/YsCEp\nKenKlStDcd76+npra2veZmBgYEtLy/Lly/X19UU8kTgMngBA+ggmdqGhofj3SDCkRo0a9eLF\ni1mzZvEXPn/+fIBPy6qrq01MTHqeq7Ozs6mpif81ekZGhp+fH/8jQwKBEBgYuGvXroEEAMAw\ngvcnPnr0aHd395w5cxYsWICXD3V/YlNT01u3bvFPaRQSEvL+/fvAwMCkpCQFBYWhOGmvYOUJ\nAKQPCSFEIpE6Ojq8vLwc/svGxkZg4XkwuJYuXbpt27Zp06a5uLjgJSdOnLh79+6ePXsGUq2u\nru6NGzcECouKiigUCo1G4y9ksVjy8vICR8rLy+NTswIwQoilP/GKFStWrFhRUVGxb98+3pP7\nHTt2EInE2bNn8/fz+yAGg9HS0tLXXgzDMAwT8nEYPAGA9CEhhLy9vePj458/f/7y5cvExMTy\n8nJZWVlra2t7e5Qn28MAACAASURBVHsHBwdHR0cHB4ee7w3BQISFhb169crNzc3Ly0tfX//l\ny5d5eXkDH7vg7++/Y8eOpKQkf39/vKS1tXX79u3+/v4Cb1vs7e3T0tIE5jG+ffu2g4PDQAIA\nQDoM6Six0NDQhoaGAwcObNmyhb9pjYiIcHJyWrt2bf+r8vLyEt5/o7GxUcheGDwBgPQh9Pw+\nV19f/+LFi5f/lZuby2KxdHV18Yd5eJ5naWlJIBDEEvHAEYnELVu2REREiDsQlJmZef369YqK\nCgsLi0WLFhkbGw+8zr17927atMnPz2/ixIm1tbVnz56lUqn3798XGN9XUFDg6Oi4bNmyHTt2\nKCoqstnsf//73z/99NPNmze9vLwGHgYAAiIjIxMSEh4/fizuQCQFl8slEAg9G1Imk1lYWNjP\ncRtdXV1C5mQxMDCIj48X6PIBABhSs2bNun//fltbm7gC6GW6Ezqd7u3t7e3tjW92d3fn5ubi\nSd6JEycYDAZCaO/evT/++KNII5VGbm5ug/6NecOGDV5eXlFRUefOnVNXV//+++9XrlxJJpMF\nDrOwsLh27VpISMjx48dNTEzKyspIJNLp06elKatrbW29fft2aWmpgYGBp6cnzNQDJAqR2Ms0\nogghMpnc/9G48vLyPftU8Hzw6zcMngBA+nx4fWs5OTl5efm3b99evny5oaHB29t78eLFAQEB\nIggOfJpx48b1Z2Srj49Pbm5uenp6YWGhgYGBh4cHb7JWKXDt2rVly5Z1dnaampq+e/eOw+Ec\nPHjwq6++EndcAPSira3Nx8fn+PHj9vb2ojwvDJ4AQPp8OLHbuHHjnj17HBwcwsLCFixYoKen\nJ4KwgGgoKCjMmDEDn8dLmrx69SogIOCnn37atGkTmUzmcDhHjx4NCQkxMDDgPYoGQHKw2eys\nrCwhwyCGCAyeAEA0qqurs7Ky2tvblZWV3dzc6HQ6/97Tp0/znq8rKCgEBgYO5FwfTuzs7e3l\n5eWvXbtmaGg4kDMBIDJHjx51d3ffvn07vikjI7Nq1aqnT5/++uuvkNgBwAODJwAQARaLde/e\nvYkTJxoaGhYWFt69ezcgIICXyXV3dxMIhEF8odR7Jw9+QUFBdnZ2O3fuHKxTAjDUcnJy+JcQ\nwH1w/CAAQFoxmcwDBw7MnDlz/PjxX375ZX/m4QdgsFRWViopKeFPx8zNzRFCdXV1vL3d3d2D\n++D8w0/sCARCTExMWVnZIJ4VgCElJyfXc6hgR0cHzM4IJJOSktLt27ft7OxEfN4RMniipqbG\n09Ozubl50aJFdDr90aNHrq6ue/bsWb9+vbhDA9KGxWJxOByB+UZaWlpUVFR4myoqKs3NzZqa\nmvgmPn1sWlpafX29kpKSs7Oztrb2QGL48BM7hJC1tfW0adMGchoARGny5MlJSUn8ky1zudz4\n+Hj+uf4BkBwkEsnHx4e/6ReNvLy85uZmEZ9U9NavX0+hUPLy8vD5HC5fvhwXF/fTTz/l5uYi\nhJKTk62srGg02pgxY+7fv49/JDU11dHRUVVV1c3NraCgQJzRg+GAwWDcunUrISHh3LlzLS0t\nLBaLfy+bzeb/+kQikdhsNv+miYmJs7Pz/Pnzrays0tLShMxh1B/9SuwAGF5WrVrV1tY2derU\njIyMpqamp0+fzp07Nzs7Ozw8XNyhASBBRsLgCTabnZycvGXLFiqVyiucP3++k5NTUlJSSUnJ\nkiVLzp4929jYuHr1an9/fzabXV5ePm/evAMHDjQ0NMyYMSMoKEiM8QPJweVyGxoaiouLnz59\nmpaW9ujRI94uIpGopqbm4OAwa9YsGo0m8HaIRCJxOBzeJovF4l+6nUqlurm50Wg0AoFgampK\npVJramoGEickdkAK0en0hw8f0un0SZMm0Wi0sWPHtrW1ZWRkjBo1StyhASBB3NzclJWVxR3F\n0Gpubu7o6Oj5f9/MzKyiokJWVjYuLg5f2nH+/PkNDQ11dXV//fWXg4ODt7c3kUjcuHFjQUFB\nfn6+OGIHYsafjdXX18fGxl69ejUrK6uurk5JSUlfX5+3V01NbezYsRYWFr0u06WiotLU1MTb\nbGpq4p9crLOzs6Ghgf+kfU1y2U8f7mMHwHBkZGSUnJzc0tJSUlJiaGgosFQuAGCEUFFRUVBQ\nKC0tFejCWFJSMnPmTH19ffzPc1dX14EDB1xcXLS1tfkndpaVlaVQKIWFhZaWlqIOHYhcfX19\nfX19Q0NDQ0NDY2MjkUhcsGABvotGo82YMYNKpSooKHxstXp6epmZmaWlpUZGRm/evJGVlcXz\nv9LSUnV19dbW1nv37n322WeqqqrFxcWdnZ2i6GMHwDBFpVIdHBwgqwOgV7W1tfzPJKQSiUSa\nM2fOL7/80tHRwSu8evXqP//88/nnn+Ob+/fvp1Ao58+fP3XqFIFAmDJlysuXL2/fvs3hcKKj\no5ubm7u6usQUPhhCHR0d/KNTu7q6UlJSsrOz29vbdXR0Jk6cOHv2bN5eIpGopaX1CVkdQkhG\nRsbLyys7OzsuLq64uJi3wtM///zDYDB0dHQcHR1v3759/vz53NxcHx+fAY7zgyd2kuj9+/f/\n/PMPi8VydHSEr4kAgCEyQlaeOHDgwJQpU0aPHr1kyRI6nZ6ZmXnp0qWIiAjeM7z169evWrXq\n+vXr7u7uL1++1NPTi4uLW7t2bVNT09KlS01NTeHLodSoqKiorq7GH8t1dnbKysr6+/vj6Zq8\nvPwXX3zxwYX4Po2mpqavr69AIW8Rr9GjR48ePXqwziVxiR2Dwbh79+6bN2/wsVo0Gs3GxsbH\nx0fqO4LgmEzmDz/8EB0dTaVSSSRSXV3dggULjh49Kk2LfQEAJMRIGDyBENLV1c3Ozj548GBa\nWhqDwRg9evRff/2FT86cnZ1dUVExc+ZMOTk5f3//7du3P3r0KCAgYPbs2fjTmqampv3794t4\nqTcwKDAMa2lpaWxs1NXV5T0De/nyJYFAoNPppqamampqKioq/B3ahiirEzEJSuzYbPa6deuO\nHTvGZrPJZLKSkhJCCB82rKCgsHHjxs2bN0vHTRdizZo1169fT01NxRdIePbs2RdffLFw4cI/\n//xT3KEBAKTNyFl5gkKhbN68efPmzQLlDAZj8eLFd+/etbe3z8jIePv2ra2tbWNj49ixY69f\nv25ubh4eHj59+vRee8QDyVRTU/Pu3Tu8txyLxZKXl/fx8eH9Bj/77DPxhicCEpTYbdq0KSYm\n5uDBg35+fgYGBnghl8stLi6+dOnSzp075eTkNmzYIN4ghxSDwThx4kRKSgpv2asxY8YkJCTY\n2Ni8ePHC0dFRvOEBAMBQKC8vz8vLYzAY3d3dFApFS0vLxsZGYDHNj5WQkGBgYDB+/Hj+wtbW\n1sTERB8fH96fGC8vr4iIiM8//5zBYGhoaBw7dszKygoh9NNPP/n4+LS3t3t4eJw6dYpXQ0lJ\nyf379+fPn6+oqHjx4kVjY2NXV9eBxAkGqL29ncFgqKmp8V7rvXv3rqmpSUtLa/To0erq6oqK\niuKNUPQkKLGLjY2NjIwMCQnhLyQSiWZmZuHh4RQKJSoqSroTu5ycHAzDfHx8+Autra2NjY2f\nP38OiR0AYHBJwsoTT548ycnJ0dXVdXZ2lpeXb2lpyc/PT0lJcXd3NzY2Htxz4e+d+acQQwiF\nhYWFhYUJHBkSEiLwx6insWPHfrCPUFFRUVFREczwP7ja2tqKi4vr6uoYDEZHR4esrKyrqyvv\nd4FPXjOSSVBix2AwhAwUcHR0rKioEGU8okckEjEM43A4Au0si8Ua4Kw2AADQk9gHT7x79y4n\nJ8fOzm7s2LG8Qmtr65s3b2ZkZPB3jRoUeEo3WN0KTU1NP3gMg8EYlHONZBiGNTc3E4lE3hTT\nFRUVpaWlGhoaY8aM0dDQUFFRkfpuWh9FghI7ExOTW7du9bXoU2pqqoWFhYhDEjFHR0c5Obkr\nV67Mnz+fV/j48eOKiooJEyaIMTAAgFQS++CJnJwcRUXFMWPG8BfKyMi4u7tzuVw8q8Mw7OXL\nl2/fvm1vb5eTk9PT0xs7diyFQhG+i197e3tKSoqmpqaHh4e5uTl+QF1d3dOnTxsaGthsNpVK\ntbGxwVdnF8BkMjMzM8vLy4lEopGREW99T4QQ/6vYXmu7ceNGdXU1Quj06dMeHh4mJibd3d1P\nnz599+4dk8lUUFAwNDR0dnbGfwWXLl0yNzcnEomFhYWdnZ2qqqrjx4/He4ZhGPbq1auCgoKO\njg5lZWVbW1s8VAzDcnJyioqKWlpayGSyiYnJmDFjBJ5HDlMYhlVWVtbV1dXW1tbV1XV3d5ua\nmvLSA0tLS5gvQggJ+hewfv360NDQkpISPz8/MzMzKpWKD2kpLCxMTExMSkqKi4sTd4xDi0ql\n4jehvb19/vz5JBLpxo0bK1euXLx4sdQntQAA0RPv4AkOh8NgMMzMzHq+keDvF/X48eOCggJX\nV1ddXd3W1taMjIxbt27NmTOHQCAI2cX7eHd3961bt1RUVNzd3QkEwqRJkxBCXC739u3burq6\nM2fOlJGRKSsre/jwIYVC0dPTE4jk4cOHNTU1Hh4eqqqq5eXlL1686HkhfdXm7e19584dAoHg\n4eGBJ6kZGRk1NTXu7u5KSkotLS0PHjzAMAz/3i4jI1NQUGBhYTF37lwMw9LS0tLT0/HpMJ4+\nffrmzZvx48fT6fTy8vKHDx/KysriXXSys7NdXV0NDAyampoyMjI6Ojo8PDwG5bcjevxvq2pq\natLS0uh0uqamJr6cwwjsKvfJJCixCwkJkZeX37FjR88Ezs7OLjk52c/PTyyBiVJERASVSl29\nevXXX38tIyNDJBLXrFkTEREh7rgAANKvpKSkra2Nt0kgECwsLHgvQwe+l0AgmJmZycvL44Wd\nnZ1cLld4NzUWi5Wfn29jY4N/uVVSUpowYcKtW7eqqqo0NDT62qWrq4t/nMPh3Llzh0Qi4euD\n8aptb29nMpkmJib4BHU2Njaampr4VAz8mExmWVmZg4MDPtjC2tq6pqampKRE4LC+apOTkyMQ\nCEQikXfJ48aNwzAMv2RlZWUjIyNeFyMCgSAnJ+fk5IRvmpqaPnz4sKuri0Qi5eXl2djYmJmZ\nIYRoNFpXV1d7ezubzX79+rWFhYW1tTV++c7Ozg8ePBgzZgz/qriSDMOwpqam6urqmpqampoa\nNpsdHByM79LW1v7yyy/FG97wJUGJHUJo8eLFixcvLikpyc/Pb25uJhAIqqqqVlZWhoaG4g5N\nRIhE4g8//LB8+fK8vDwmk2lrawsz2AEAhojA4ImysjL+FS2JRKK+vj4vORv4XiKRqKOjw8ty\neEcKibCxsZHD4fC/AMXfTtbX1+MLq/e6C0/sMAx78OBBR0fHv/71L4E3zsrKyjQaLTMzs6Gh\nQU9PT0NDo9cJTZqamjAM49+lo6PTM7HrZ20IIRkZmZycnIqKiq6uLi6Xy2az+XtU83d2JJPJ\nCCEmk9nW1sZms/krHDduHEKotraWzWbzL1eqo6ODX/6wSOw4HE5CQkJnZ6eysrKWlpaTk9MA\n19ECPJKV2OFMTExMTEzEHYU4KSkp4f91AQBg6AgMnuiri/MQ7VVQUCASifhc9H1hsVjof4c7\n4D+zWCwhu/DNoqIiNpstJyfH5XJ71jxz5szc3Nx37969ePFCXl7eysrK0dFRoA8+XhV/r7W+\nerD1pzYMw27cuMFms11dXdXU1IhE4suXL/nTxF4r7+7uRr0N+MBju3fvnsBZ+FdOkxBcLre+\nvr66uprBYDg7O+N5p4yMjKenp7Kycs8+kWCAJDGx6xU+0yBk9AAAMFjEO3hCRkZGS0urtLR0\n7Nix+AMqno6OjoKCAhsbG4FcjfeznJyckF34pqKioqenJ95ZbcaMGQIJEJlMdnJycnJy6ujo\nKCwsfP78OYlE4i0yhsMzLTabzSvB06ye+lMbg8Fobm729PQ0MjLiD1g4/AEnk8kUKMcvc/z4\n8QJ/FgUeiIpXaWnp27dvq6urWSwWjUbT0dHh/0VraWmJMTYpNmwm0Zg+fTr+nLk/XFxcCH3D\nMIx/3V8AABiZ3NzcxLtao62tbXd39+PHjzEM4xVyOJy//vorLy+Py+XSaDQZGZna2lre3pqa\nGoSQurq6kF34po6Ojqqqqru7e21t7cuXL/nP29bWVlpaiv9MoVAcHBzU1dUbGhoEwsN7wvD/\nveh11q1+1sbhcBBf4sVkMsvLy/kvvFdUKlVOTg4fXYvLzMzMzMyk0WgkEqmjo0Plv5SUlIhE\nokCKLGItLS1dXV38m4qKipMmTVqwYIGfn5+rq6t4wxshhs0TuxUrVlRWVvbz4DNnzgg5ePbs\n2TBdJAAAiJ2+vr69vX12dnZzc7OZmRmFQmltbX3z5k1nZ6ePjw+eBFhZWeXm5qqoqOjo6DQ3\nN2dlZWlqauKPqYTs4tHQ0HBycnr27JmOjg7vEVFHR8e9e/ccHBxMTExIJFJtbW1DQ0PPyQfk\n5eX19PTy8vLU1NSoVKpAP0IeIbWRyeS6urr6+noFBQU8FXvz5g2VSu3o6Pj7778NDQ3fvn3b\n2NiooqLS1y0ikUijR4/Ozs6mUqmampqVlZX5+fkeHh54OT5fjI6OTnd3d3Z2dnV1tb+//+BO\n/vdBTCaz8r/a2tqcnJx40+nDGrtiMWwSu6VLl/b/4NGjR48ePbqvvSQSSTpm+gEAgIGQhJUn\nnJ2dtbW18/Lynj9/zmKxKBSKjo6Ovb0971HiuHHj5OTknj9/npGRQSaTDQ0NebMZC9nFz87O\nrrKyMj09fc6cOXiyqKmp6enp+erVq9zcXHyYqrOzc6+zSk2ePDkzM/Ovv/4iEol4/ffu3RPo\ntCekNmtr69ra2j/++GPcuHHW1tbu7u5PnjxJTExUUVEZO3asqqpqTU1NSkqK8AVM8e56r169\n6urqUlZWnjRpEt4N3dnZmUwmv3r16tGjRyQSSUdHZ+bMmSLO6t69e3fv3j1ZWVltbW1bW1s9\nPb1hMXRDuhE++BxYxBgMxt27d9+8eYP3qKXRaDY2Nj4+PoP4vkBZWfnChQuzZs0arAoBAB8U\nGRmZkJDw+PFjcQcygnywrUtPTxfvyhNgeGlvb6+oqOjo6OA9k2OxWE1NTXQ6HZZH4pk1a9b9\n+/f5Z/8RMQl6cMVms9etW3fs2DE2m00mk/EphVpaWlgsloKCwsaNGzdv3gzLhgAAwGAR+8oT\nYFhgMBjv3r0rKytrbGxUUFAYNWoUb5esrGxfc7sAcZGgxG7Tpk0xMTEHDx708/PDZ4NECHG5\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1**\n", + "\n", + "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." + ], + "metadata": { + "id": "6nEG7IN658fI" + } + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 1))\n", + "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", + "\n", + "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "3mvQ5Sv_G6Bi", + "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "KVAfsDb-5TCv", + "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-24.944 -7.411 -2.467 3.409 68.590 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", + "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 15.02 on 45 degrees of freedom\n", + "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", + "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "gLTt4w6W5ZDZ", + "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", + "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.6626 on 45 degrees of freedom\n", + "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", + "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2**\n", + "\n", + "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", + "\n", + "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." + ], + "metadata": { + "id": "IOdFGv6K6yTo" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "jbKkvsq28pOV" + } + }, + { + "cell_type": "code", + "source": [ + "shapiro.test(mdl2_residuals)" + ], + "metadata": { + "id": "4kkU-JXs8jtS", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "\tShapiro-Wilk normality test\n", + "\n", + "data: mdl2_residuals\n", + "W = 0.97609, p-value = 0.4418\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1**\n", + "\n", + "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" + ], + "metadata": { + "id": "WXDmMG4hPJZk" + } + }, + { + "cell_type": "markdown", + "source": [ + "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" + ], + "metadata": { + "id": "jwArgTQWPsuO" + } + }, + { + "cell_type": "code", + "source": [ + "ext_stud_res = rstudent(mdl2)\n", + "dof = mdl2$df.residual - 1\n", + "alpha = 0.5/47\n", + "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "HFvzFdu2P4T6", + "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "0" + ], + "text/markdown": "0", + "text/latex": "0", + "text/plain": [ + "[1] 0" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2**\n", + "\n", + "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." + ], + "metadata": { + "id": "BFMM1FTzS0r4" + } + }, + { + "cell_type": "code", + "source": [ + "cook = cooks.distance(mdl2)\n", + "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", + "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "aT3jMWiQPYMb", + "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “Half-normal Plot”" + ], + "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "aAh8bKABa78_", + "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", + "sex -0.87120 0.39268 -2.219 0.0320 * \n", + "status 0.02983 0.01344 2.219 0.0320 * \n", + "income 0.21565 0.04904 4.398 7.33e-05 ***\n", + "verbal -0.26165 0.10388 -2.519 0.0157 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.085 on 42 degrees of freedom\n", + "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", + "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2_wo_inf)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "NPJN4AVja4l4", + "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", + " 1])\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", + "sex -0.86785 0.41992 -2.067 0.04528 * \n", + "status 0.03097 0.01427 2.170 0.03604 * \n", + "income 0.21987 0.04688 4.690 3.16e-05 ***\n", + "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.033 on 40 degrees of freedom\n", + "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", + "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "influence = lm.influence(mdl2)\n", + "head(influence$coefficients, 10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 380 + }, + "id": "JUhuuFsNawhG", + "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" + ], + "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", + "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", + "text/plain": [ + " (Intercept) sex status income verbal \n", + "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", + "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", + "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", + "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", + "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", + "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", + "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", + "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", + "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", + "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.3**\n", + "\n", + "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", + "\n", + "The model without influencers has an improved R^2 value.\n", + "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "-4vrIqhZUSyJ" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "MdS1hNAHcvsM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From d4b62d4ad24466c6e035cd091c0aee27c4ea6499 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 21 Oct 2022 22:17:19 -0400 Subject: [PATCH 04/11] Created using Colaboratory --- STATS_500_Hw_4_005.ipynb | 698 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 698 insertions(+) create mode 100644 STATS_500_Hw_4_005.ipynb diff --git a/STATS_500_Hw_4_005.ipynb b/STATS_500_Hw_4_005.ipynb new file mode 100644 index 00000000..7194a764 --- /dev/null +++ b/STATS_500_Hw_4_005.ipynb @@ -0,0 +1,698 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyOMHd4ifd8cp43jCGBbeOR1", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 4\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(teengamb)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", + "#summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1_residuals <- residuals(mdl1)\n", + "mdl2_residuals <- residuals(mdl2)\n", + "mdl1_fitted <- fitted.values(mdl1)\n", + "mdl2_fitted <- fitted.values(mdl2)" + ], + "metadata": { + "id": "x_hGzyjMEvJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 2))\n", + "plot(mdl1)\n", + "plot(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 857 + }, + "id": "NoUDr3imxTKH", + "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “”" + ], + "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5\n5ZfOzk45OTn8YR4PkUhUVFTs7OxECNnZ2aWkpCxbtuzIkSPa2tr4+P8LFy7wd3InEAgmJiZV\nVVWivTIAhgGx9CcGw52lpSXMVAIkVi9P7E6dOrVhwwbe17j379+HhYWNHTv21q1be/fuvXLl\nSnR0tGiDlGZ3794NDg7GszqcvLz8woUL7969ixCysbFpb29/+vQp/0fevn1bUVFha2uLb/r4\n+Lx+/To9PX3Pnj3Xrl0jEol6enr8x2MYVlxc3HPuTQDA4sWL8eH27P/F4XAmTJgQHx8v7gCH\nVm1tLYfDEXcUAIDB1MuDt+jo6KVLl548eRLfjI2NxTAsISFBV1d36tSpVVVVcXFxQzR+YgTq\n7OzsORZBRUUFnxPY2Nh49uzZS5cuvXTpEv4FsaSkZPHixVOmTHF0dOQdTyaTJ06cOHHiRISQ\nl5fXzz//fO3aNV6yeOzYsdra2tmzZ4vokgAYPoKDg4ODg7Ozs69evcrreTJyDJfBEwCA/uvl\niV1ubm5wcDBv8/bt2xMnTuQ975k6darUT9opSlZWVvzzM+EyMjJ471LxOers7OycnZ3HjRtn\nbW1NoVCEPEiIjo7Ozc21tbXdunXrgQMHPvvss++///7IkSPwxA6AvoirP7HYDYuVJwAAH6WX\nJ3YsFou3sB2TyczKyuLvQayiooL37gKDYsWKFdOnT3d3d//mm28IBAKGYb/99ltCQgL+KhYh\nRKPRUlJSMjIysrKyOBxOZGSkh4eHkArNzMxyc3MPHDjw4MGD5uZme3v7Fy9eSOu8sgAM0Ajv\nT+zm5ibuEAAAg6yXNktTU7OysnLMmDEIobt373Z1dfGvI1RRUaGlpSW6AKWdl5fX4cOH165d\nu3v3bktLyzdv3tTX10dHR0+ZMoX/MN6b1v5QVlbetm3b4McKgHTB+xPzXlDg/YldXFy2bdv2\n/PnzTZs2RUdHQ7cTAMDw0kti5+bmdvToUXyw2O7du9XV1fkfEV26dInXbR8Mim+//Xb27Nl/\n/PFHaWnp3LlzZ82aBa9NARAB6E88LFaeAAB8lF762K1duzY9Pd3AwEBbW/vBgwfbt2/HO2E0\nNTWFhoYmJSUtW7ZM5HFKobq6umXLlunp6cnJyXl4eDQ1NW3btu3bb7+FrA4A0RBvf+K6uro3\nb970HJRaVVV14sSJoTsvP3zhQdGcCwAgGr0kduPHj793797UqVN9fHzi4uKWL1+Ol3d3d8fE\nxOzcuXPOnDmiDVIKVVRUODk5PX78eO/evXfu3AkLCzt06NCMGTMGZeqBR48eBQUFOTg4eHt7\n7969W3ifyPr6+sePH1dWVg78vAAMLz37E0+ePJm3d+j6E9fX10+fPl1TU9Pa2trQ0PDChQv8\ne/Pz8weyAOBHgcETAEif3vsFu7q6urq6ChRqamqWl5erq6sPfVTSb9u2bXp6eg8ePMAnH3Z3\nd/f397ezs4uLi1u8ePFAat65c+e2bdvmzZv39ddfMxiM6Ojo06dPp6en6+joCBxZXFy8evXq\nlJQUfHP8+PFHjx7F+1YCMBKIqz/x5s2bHz9+vH///lGjRl2/fn3hwoVFRUWbN28einMJB4Mn\nAJA+gondrVu3eOMxhZg3b56zs/PQhDQipKambt++nX9JCQMDg7lz5964cWMgiV12dvbWrVsv\nX77s6+uLl2zYsMHT0/OHH344d+4c/5H19fWTJ0+2srJ6/Pixra1tSUnJzp073d3dnzx5YmVl\n9ckBADCMiKs/8R9//LFnz57Q0FCE0Ny5c6dPnx4cHEyn03mvRwAA4JMJJnYlJSUC6xz0auLE\niZDYDURzc7OGhoZAoaam5qtXrwZSbVJSkouLCy+rQwgpKipu3rw5KCiIzWbzT9xw5MgRZWXl\nGzdu4Mnl6NGjz58/P3369F27dsXGxg4kBgCGi7Vr13p5eRkYGLBYrPr6+mPHjvH6E2/YsCEp\nKenKlStDcd76+npra2veZmBgYEtLy/Lly/X19UU8kTgMngBA+ggmdqGhofj3SDCkRo0a9eLF\ni1mzZvEXPn/+fIBPy6qrq01MTHqeq7Ozs6mpif81ekZGhp+fH/8jQwKBEBgYuGvXroEEAMAw\ngvcnPnr0aHd395w5cxYsWICXD3V/YlNT01u3bvFPaRQSEvL+/fvAwMCkpCQFBYWhOGmvYOUJ\nAKQPCSFEIpE6Ojq8vLwc/svGxkZg4XkwuJYuXbpt27Zp06a5uLjgJSdOnLh79+6ePXsGUq2u\nru6NGzcECouKiigUCo1G4y9ksVjy8vICR8rLy+NTswIwQoilP/GKFStWrFhRUVGxb98+3pP7\nHTt2EInE2bNn8/fz+yAGg9HS0tLXXgzDMAwT8nEYPAGA9CEhhLy9vePj458/f/7y5cvExMTy\n8nJZWVlra2t7e5Qn28MAACAASURBVHsHBwdHR0cHB4ee7w3BQISFhb169crNzc3Ly0tfX//l\ny5d5eXkDH7vg7++/Y8eOpKQkf39/vKS1tXX79u3+/v4Cb1vs7e3T0tIE5jG+ffu2g4PDQAIA\nQDoM6Six0NDQhoaGAwcObNmyhb9pjYiIcHJyWrt2bf+r8vLyEt5/o7GxUcheGDwBgPQh9Pw+\nV19f/+LFi5f/lZuby2KxdHV18Yd5eJ5naWlJIBDEEvHAEYnELVu2REREiDsQlJmZef369YqK\nCgsLi0WLFhkbGw+8zr17927atMnPz2/ixIm1tbVnz56lUqn3798XGN9XUFDg6Oi4bNmyHTt2\nKCoqstnsf//73z/99NPNmze9vLwGHgYAAiIjIxMSEh4/fizuQCQFl8slEAg9G1Imk1lYWNjP\ncRtdXV1C5mQxMDCIj48X6PIBABhSs2bNun//fltbm7gC6GW6Ezqd7u3t7e3tjW92d3fn5ubi\nSd6JEycYDAZCaO/evT/++KNII5VGbm5ug/6NecOGDV5eXlFRUefOnVNXV//+++9XrlxJJpMF\nDrOwsLh27VpISMjx48dNTEzKyspIJNLp06elKatrbW29fft2aWmpgYGBp6cnzNQDJAqR2Ms0\nogghMpnc/9G48vLyPftU8Hzw6zcMngBA+nx4fWs5OTl5efm3b99evny5oaHB29t78eLFAQEB\nIggOfJpx48b1Z2Srj49Pbm5uenp6YWGhgYGBh4cHb7JWKXDt2rVly5Z1dnaampq+e/eOw+Ec\nPHjwq6++EndcAPSira3Nx8fn+PHj9vb2ojwvDJ4AQPp8OLHbuHHjnj17HBwcwsLCFixYoKen\nJ4KwgGgoKCjMmDEDn8dLmrx69SogIOCnn37atGkTmUzmcDhHjx4NCQkxMDDgPYoGQHKw2eys\nrCwhwyCGCAyeAEA0qqurs7Ky2tvblZWV3dzc6HQ6/97Tp0/znq8rKCgEBgYO5FwfTuzs7e3l\n5eWvXbtmaGg4kDMBIDJHjx51d3ffvn07vikjI7Nq1aqnT5/++uuvkNgBwAODJwAQARaLde/e\nvYkTJxoaGhYWFt69ezcgIICXyXV3dxMIhEF8odR7Jw9+QUFBdnZ2O3fuHKxTAjDUcnJy+JcQ\nwH1w/CAAQFoxmcwDBw7MnDlz/PjxX375ZX/m4QdgsFRWViopKeFPx8zNzRFCdXV1vL3d3d2D\n++D8w0/sCARCTExMWVnZIJ4VgCElJyfXc6hgR0cHzM4IJJOSktLt27ft7OxEfN4RMniipqbG\n09Ozubl50aJFdDr90aNHrq6ue/bsWb9+vbhDA9KGxWJxOByB+UZaWlpUVFR4myoqKs3NzZqa\nmvgmPn1sWlpafX29kpKSs7Oztrb2QGL48BM7hJC1tfW0adMGchoARGny5MlJSUn8ky1zudz4\n+Hj+uf4BkBwkEsnHx4e/6ReNvLy85uZmEZ9U9NavX0+hUPLy8vD5HC5fvhwXF/fTTz/l5uYi\nhJKTk62srGg02pgxY+7fv49/JDU11dHRUVVV1c3NraCgQJzRg+GAwWDcunUrISHh3LlzLS0t\nLBaLfy+bzeb/+kQikdhsNv+miYmJs7Pz/Pnzrays0tLShMxh1B/9SuwAGF5WrVrV1tY2derU\njIyMpqamp0+fzp07Nzs7Ozw8XNyhASBBRsLgCTabnZycvGXLFiqVyiucP3++k5NTUlJSSUnJ\nkiVLzp4929jYuHr1an9/fzabXV5ePm/evAMHDjQ0NMyYMSMoKEiM8QPJweVyGxoaiouLnz59\nmpaW9ujRI94uIpGopqbm4OAwa9YsGo0m8HaIRCJxOBzeJovF4l+6nUqlurm50Wg0AoFgampK\npVJramoGEickdkAK0en0hw8f0un0SZMm0Wi0sWPHtrW1ZWRkjBo1StyhASBB3NzclJWVxR3F\n0Gpubu7o6Oj5f9/MzKyiokJWVjYuLg5f2nH+/PkNDQ11dXV//fWXg4ODt7c3kUjcuHFjQUFB\nfn6+OGIHYsafjdXX18fGxl69ejUrK6uurk5JSUlfX5+3V01NbezYsRYWFr0u06WiotLU1MTb\nbGpq4p9crLOzs6Ghgf+kfU1y2U8f7mMHwHBkZGSUnJzc0tJSUlJiaGgosFQuAGCEUFFRUVBQ\nKC0tFejCWFJSMnPmTH19ffzPc1dX14EDB1xcXLS1tfkndpaVlaVQKIWFhZaWlqIOHYhcfX19\nfX19Q0NDQ0NDY2MjkUhcsGABvotGo82YMYNKpSooKHxstXp6epmZmaWlpUZGRm/evJGVlcXz\nv9LSUnV19dbW1nv37n322WeqqqrFxcWdnZ2i6GMHwDBFpVIdHBwgqwOgV7W1tfzPJKQSiUSa\nM2fOL7/80tHRwSu8evXqP//88/nnn+Ob+/fvp1Ao58+fP3XqFIFAmDJlysuXL2/fvs3hcKKj\no5ubm7u6usQUPhhCHR0d/KNTu7q6UlJSsrOz29vbdXR0Jk6cOHv2bN5eIpGopaX1CVkdQkhG\nRsbLyys7OzsuLq64uJi3wtM///zDYDB0dHQcHR1v3759/vz53NxcHx+fAY7zgyd2kuj9+/f/\n/PMPi8VydHSEr4kAgCEyQlaeOHDgwJQpU0aPHr1kyRI6nZ6ZmXnp0qWIiAjeM7z169evWrXq\n+vXr7u7uL1++1NPTi4uLW7t2bVNT09KlS01NTeHLodSoqKiorq7GH8t1dnbKysr6+/vj6Zq8\nvPwXX3zxwYX4Po2mpqavr69AIW8Rr9GjR48ePXqwziVxiR2Dwbh79+6bN2/wsVo0Gs3GxsbH\nx0fqO4LgmEzmDz/8EB0dTaVSSSRSXV3dggULjh49Kk2LfQEAJMRIGDyBENLV1c3Ozj548GBa\nWhqDwRg9evRff/2FT86cnZ1dUVExc+ZMOTk5f3//7du3P3r0KCAgYPbs2fjTmqampv3794t4\nqTcwKDAMa2lpaWxs1NXV5T0De/nyJYFAoNPppqamampqKioq/B3ahiirEzEJSuzYbPa6deuO\nHTvGZrPJZLKSkhJCCB82rKCgsHHjxs2bN0vHTRdizZo1169fT01NxRdIePbs2RdffLFw4cI/\n//xT3KEBAKTNyFl5gkKhbN68efPmzQLlDAZj8eLFd+/etbe3z8jIePv2ra2tbWNj49ixY69f\nv25ubh4eHj59+vRee8QDyVRTU/Pu3Tu8txyLxZKXl/fx8eH9Bj/77DPxhicCEpTYbdq0KSYm\n5uDBg35+fgYGBnghl8stLi6+dOnSzp075eTkNmzYIN4ghxSDwThx4kRKSgpv2asxY8YkJCTY\n2Ni8ePHC0dFRvOEBAMBQKC8vz8vLYzAY3d3dFApFS0vLxsZGYDHNj5WQkGBgYDB+/Hj+wtbW\n1sTERB8fH96fGC8vr4iIiM8//5zBYGhoaBw7dszKygoh9NNPP/n4+LS3t3t4eJw6dYpXQ0lJ\nyf379+fPn6+oqHjx4kVjY2NXV9eBxAkGqL29ncFgqKmp8V7rvXv3rqmpSUtLa/To0erq6oqK\niuKNUPQkKLGLjY2NjIwMCQnhLyQSiWZmZuHh4RQKJSoqSroTu5ycHAzDfHx8+Autra2NjY2f\nP38OiR0AYHBJwsoTT548ycnJ0dXVdXZ2lpeXb2lpyc/PT0lJcXd3NzY2Htxz4e+d+acQQwiF\nhYWFhYUJHBkSEiLwx6insWPHfrCPUFFRUVFREczwP7ja2tqKi4vr6uoYDEZHR4esrKyrqyvv\nd4FPXjOSSVBix2AwhAwUcHR0rKioEGU8okckEjEM43A4Au0si8Ua4Kw2AADQk9gHT7x79y4n\nJ8fOzm7s2LG8Qmtr65s3b2ZkZPB3jRoUeEo3WN0KTU1NP3gMg8EYlHONZBiGNTc3E4lE3hTT\nFRUVpaWlGhoaY8aM0dDQUFFRkfpuWh9FghI7ExOTW7du9bXoU2pqqoWFhYhDEjFHR0c5Obkr\nV67Mnz+fV/j48eOKiooJEyaIMTAAgFQS++CJnJwcRUXFMWPG8BfKyMi4u7tzuVw8q8Mw7OXL\nl2/fvm1vb5eTk9PT0xs7diyFQhG+i197e3tKSoqmpqaHh4e5uTl+QF1d3dOnTxsaGthsNpVK\ntbGxwVdnF8BkMjMzM8vLy4lEopGREW99T4QQ/6vYXmu7ceNGdXU1Quj06dMeHh4mJibd3d1P\nnz599+4dk8lUUFAwNDR0dnbGfwWXLl0yNzcnEomFhYWdnZ2qqqrjx4/He4ZhGPbq1auCgoKO\njg5lZWVbW1s8VAzDcnJyioqKWlpayGSyiYnJmDFjBJ5HDlMYhlVWVtbV1dXW1tbV1XV3d5ua\nmvLSA0tLS5gvQggJ+hewfv360NDQkpISPz8/MzMzKpWKD2kpLCxMTExMSkqKi4sTd4xDi0ql\n4jehvb19/vz5JBLpxo0bK1euXLx4sdQntQAA0RPv4AkOh8NgMMzMzHq+keDvF/X48eOCggJX\nV1ddXd3W1taMjIxbt27NmTOHQCAI2cX7eHd3961bt1RUVNzd3QkEwqRJkxBCXC739u3burq6\nM2fOlJGRKSsre/jwIYVC0dPTE4jk4cOHNTU1Hh4eqqqq5eXlL1686HkhfdXm7e19584dAoHg\n4eGBJ6kZGRk1NTXu7u5KSkotLS0PHjzAMAz/3i4jI1NQUGBhYTF37lwMw9LS0tLT0/HpMJ4+\nffrmzZvx48fT6fTy8vKHDx/KysriXXSys7NdXV0NDAyampoyMjI6Ojo8PDwG5bcjevxvq2pq\natLS0uh0uqamJr6cwwjsKvfJJCixCwkJkZeX37FjR88Ezs7OLjk52c/PTyyBiVJERASVSl29\nevXXX38tIyNDJBLXrFkTEREh7rgAANKvpKSkra2Nt0kgECwsLHgvQwe+l0AgmJmZycvL44Wd\nnZ1cLld4NzUWi5Wfn29jY4N/uVVSUpowYcKtW7eqqqo0NDT62qWrq4t/nMPh3Llzh0Qi4euD\n8aptb29nMpkmJib4BHU2Njaampr4VAz8mExmWVmZg4MDPtjC2tq6pqampKRE4LC+apOTkyMQ\nCEQikXfJ48aNwzAMv2RlZWUjIyNeFyMCgSAnJ+fk5IRvmpqaPnz4sKuri0Qi5eXl2djYmJmZ\nIYRoNFpXV1d7ezubzX79+rWFhYW1tTV++c7Ozg8ePBgzZgz/qriSDMOwpqam6urqmpqampoa\nNpsdHByM79LW1v7yyy/FG97wJUGJHUJo8eLFixcvLikpyc/Pb25uJhAIqqqqVlZWhoaG4g5N\nRIhE4g8//LB8+fK8vDwmk2lrawsz2AEAhojA4ImysjL+FS2JRKK+vj4vORv4XiKRqKOjw8ty\neEcKibCxsZHD4fC/AMXfTtbX1+MLq/e6C0/sMAx78OBBR0fHv/71L4E3zsrKyjQaLTMzs6Gh\nQU9PT0NDo9cJTZqamjAM49+lo6PTM7HrZ20IIRkZmZycnIqKiq6uLi6Xy2az+XtU83d2JJPJ\nCCEmk9nW1sZms/krHDduHEKotraWzWbzL1eqo6ODX/6wSOw4HE5CQkJnZ6eysrKWlpaTk9MA\n19ECPJKV2OFMTExMTEzEHYU4KSkp4f91AQBg6AgMnuiri/MQ7VVQUCASifhc9H1hsVjof4c7\n4D+zWCwhu/DNoqIiNpstJyfH5XJ71jxz5szc3Nx37969ePFCXl7eysrK0dFRoA8+XhV/r7W+\nerD1pzYMw27cuMFms11dXdXU1IhE4suXL/nTxF4r7+7uRr0N+MBju3fvnsBZ+FdOkxBcLre+\nvr66uprBYDg7O+N5p4yMjKenp7Kycs8+kWCAJDGx6xU+0yBk9AAAMFjEO3hCRkZGS0urtLR0\n7Nix+AMqno6OjoKCAhsbG4FcjfeznJyckF34pqKioqenJ95ZbcaMGQIJEJlMdnJycnJy6ujo\nKCwsfP78OYlE4i0yhsMzLTabzSvB06ye+lMbg8Fobm729PQ0MjLiD1g4/AEnk8kUKMcvc/z4\n8QJ/FgUeiIpXaWnp27dvq6urWSwWjUbT0dHh/0VraWmJMTYpNmwm0Zg+fTr+nLk/XFxcCH3D\nMIx/3V8AABiZ3NzcxLtao62tbXd39+PHjzEM4xVyOJy//vorLy+Py+XSaDQZGZna2lre3pqa\nGoSQurq6kF34po6Ojqqqqru7e21t7cuXL/nP29bWVlpaiv9MoVAcHBzU1dUbGhoEwsN7wvD/\nveh11q1+1sbhcBBf4sVkMsvLy/kvvFdUKlVOTg4fXYvLzMzMzMyk0WgkEqmjo0Plv5SUlIhE\nokCKLGItLS1dXV38m4qKipMmTVqwYIGfn5+rq6t4wxshhs0TuxUrVlRWVvbz4DNnzgg5ePbs\n2TBdJAAAiJ2+vr69vX12dnZzc7OZmRmFQmltbX3z5k1nZ6ePjw+eBFhZWeXm5qqoqOjo6DQ3\nN2dlZWlqauKPqYTs4tHQ0HBycnr27JmOjg7vEVFHR8e9e/ccHBxMTExIJFJtbW1DQ0PPyQfk\n5eX19PTy8vLU1NSoVKpAP0IeIbWRyeS6urr6+noFBQU8FXvz5g2VSu3o6Pj7778NDQ3fvn3b\n2NiooqLS1y0ikUijR4/Ozs6mUqmampqVlZX5+fkeHh54OT5fjI6OTnd3d3Z2dnV1tb+//+BO\n/vdBTCaz8r/a2tqcnJx40+nDGrtiMWwSu6VLl/b/4NGjR48ePbqvvSQSSTpm+gEAgIGQhJUn\nnJ2dtbW18/Lynj9/zmKxKBSKjo6Ovb0971HiuHHj5OTknj9/npGRQSaTDQ0NebMZC9nFz87O\nrrKyMj09fc6cOXiyqKmp6enp+erVq9zcXHyYqrOzc6+zSk2ePDkzM/Ovv/4iEol4/ffu3RPo\ntCekNmtr69ra2j/++GPcuHHW1tbu7u5PnjxJTExUUVEZO3asqqpqTU1NSkqK8AVM8e56r169\n6urqUlZWnjRpEt4N3dnZmUwmv3r16tGjRyQSSUdHZ+bMmSLO6t69e3fv3j1ZWVltbW1bW1s9\nPb1hMXRDuhE++BxYxBgMxt27d9+8eYP3qKXRaDY2Nj4+PoP4vkBZWfnChQuzZs0arAoBAB8U\nGRmZkJDw+PFjcQcygnywrUtPTxfvyhNgeGlvb6+oqOjo6OA9k2OxWE1NTXQ6HZZH4pk1a9b9\n+/f5Z/8RMQl6cMVms9etW3fs2DE2m00mk/EphVpaWlgsloKCwsaNGzdv3gzLhgAAwGAR+8oT\nYFhgMBjv3r0rKytrbGxUUFAYNWoUb5esrGxfc7sAcZGgxG7Tpk0xMTEHDx708/PDZ4NECHG5\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1**\n", + "\n", + "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." + ], + "metadata": { + "id": "6nEG7IN658fI" + } + }, + { + "cell_type": "code", + "source": [ + "par(mfrow=c (2, 1))\n", + "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", + "\n", + "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "3mvQ5Sv_G6Bi", + "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "KVAfsDb-5TCv", + "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-24.944 -7.411 -2.467 3.409 68.590 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", + "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 15.02 on 45 degrees of freedom\n", + "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", + "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "id": "gLTt4w6W5ZDZ", + "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", + "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.6626 on 45 degrees of freedom\n", + "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", + "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2**\n", + "\n", + "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", + "\n", + "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." + ], + "metadata": { + "id": "IOdFGv6K6yTo" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "jbKkvsq28pOV" + } + }, + { + "cell_type": "code", + "source": [ + "shapiro.test(mdl2_residuals)" + ], + "metadata": { + "id": "4kkU-JXs8jtS", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "\tShapiro-Wilk normality test\n", + "\n", + "data: mdl2_residuals\n", + "W = 0.97609, p-value = 0.4418\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1**\n", + "\n", + "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" + ], + "metadata": { + "id": "WXDmMG4hPJZk" + } + }, + { + "cell_type": "markdown", + "source": [ + "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" + ], + "metadata": { + "id": "jwArgTQWPsuO" + } + }, + { + "cell_type": "code", + "source": [ + "ext_stud_res = rstudent(mdl2)\n", + "dof = mdl2$df.residual - 1\n", + "alpha = 0.5/47\n", + "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "HFvzFdu2P4T6", + "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "0" + ], + "text/markdown": "0", + "text/latex": "0", + "text/plain": [ + "[1] 0" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2**\n", + "\n", + "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." + ], + "metadata": { + "id": "BFMM1FTzS0r4" + } + }, + { + "cell_type": "code", + "source": [ + "cook = cooks.distance(mdl2)\n", + "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", + "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "aT3jMWiQPYMb", + "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Plot with title “Half-normal Plot”" + ], + "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "aAh8bKABa78_", + "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", + "sex -0.87120 0.39268 -2.219 0.0320 * \n", + "status 0.02983 0.01344 2.219 0.0320 * \n", + "income 0.21565 0.04904 4.398 7.33e-05 ***\n", + "verbal -0.26165 0.10388 -2.519 0.0157 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.085 on 42 degrees of freedom\n", + "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", + "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl2_wo_inf)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "NPJN4AVja4l4", + "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", + " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", + " 1])\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", + "sex -0.86785 0.41992 -2.067 0.04528 * \n", + "status 0.03097 0.01427 2.170 0.03604 * \n", + "income 0.21987 0.04688 4.690 3.16e-05 ***\n", + "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.033 on 40 degrees of freedom\n", + "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", + "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "influence = lm.influence(mdl2)\n", + "head(influence$coefficients, 10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 380 + }, + "id": "JUhuuFsNawhG", + "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" + ], + "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", + "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", + "text/plain": [ + " (Intercept) sex status income verbal \n", + "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", + "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", + "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", + "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", + "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", + "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", + "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", + "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", + "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", + "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.3**\n", + "\n", + "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", + "\n", + "The model without influencers has an improved R^2 value.\n", + "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "-4vrIqhZUSyJ" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "MdS1hNAHcvsM" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "Yg3pK6S8etBp" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "BWTfCBrfes57" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "oJ6EzO11eszK" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "UBmPWt4XessI" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "g9JuiEHHesch" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 0eadc7672633950cf11d0005c823cd6e9a725837 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 28 Oct 2022 12:41:38 -0400 Subject: [PATCH 05/11] Created using Colaboratory --- Stats_500_hw_5_001.ipynb | 746 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 746 insertions(+) create mode 100644 Stats_500_hw_5_001.ipynb diff --git a/Stats_500_hw_5_001.ipynb b/Stats_500_hw_5_001.ipynb new file mode 100644 index 00000000..07101e45 --- /dev/null +++ b/Stats_500_hw_5_001.ipynb @@ -0,0 +1,746 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyN7S7NcKDMshVg6230cwKM/", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 5\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "6edd1d89-ddd5-4b48-af33-8319e236e032" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(divusa)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "divusa[0:7,]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 318 + }, + "id": "8mhhMcndEAy1", + "outputId": "f60140cd-486f-4ecf-d9e9-b65e1e6d0396" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.frame: 7 × 7
yeardivorceunemployedfemlabmarriagebirthmilitary
<int><dbl><dbl><dbl><dbl><dbl><dbl>
119208.0 5.222.7092.0117.93.2247
219217.211.722.7983.0119.83.5614
319226.6 6.722.8879.7111.22.4553
419237.1 2.422.9785.2110.52.2065
519247.2 5.023.0680.3110.92.2889
619257.2 3.223.1579.2106.62.1735
719267.5 1.823.2478.7102.62.1073
\n" + ], + "text/markdown": "\nA data.frame: 7 × 7\n\n| | year <int> | divorce <dbl> | unemployed <dbl> | femlab <dbl> | marriage <dbl> | birth <dbl> | military <dbl> |\n|---|---|---|---|---|---|---|---|\n| 1 | 1920 | 8.0 | 5.2 | 22.70 | 92.0 | 117.9 | 3.2247 |\n| 2 | 1921 | 7.2 | 11.7 | 22.79 | 83.0 | 119.8 | 3.5614 |\n| 3 | 1922 | 6.6 | 6.7 | 22.88 | 79.7 | 111.2 | 2.4553 |\n| 4 | 1923 | 7.1 | 2.4 | 22.97 | 85.2 | 110.5 | 2.2065 |\n| 5 | 1924 | 7.2 | 5.0 | 23.06 | 80.3 | 110.9 | 2.2889 |\n| 6 | 1925 | 7.2 | 3.2 | 23.15 | 79.2 | 106.6 | 2.1735 |\n| 7 | 1926 | 7.5 | 1.8 | 23.24 | 78.7 | 102.6 | 2.1073 |\n\n", + "text/latex": "A data.frame: 7 × 7\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n & & & & & & & \\\\\n\\hline\n\t1 & 1920 & 8.0 & 5.2 & 22.70 & 92.0 & 117.9 & 3.2247\\\\\n\t2 & 1921 & 7.2 & 11.7 & 22.79 & 83.0 & 119.8 & 3.5614\\\\\n\t3 & 1922 & 6.6 & 6.7 & 22.88 & 79.7 & 111.2 & 2.4553\\\\\n\t4 & 1923 & 7.1 & 2.4 & 22.97 & 85.2 & 110.5 & 2.2065\\\\\n\t5 & 1924 & 7.2 & 5.0 & 23.06 & 80.3 & 110.9 & 2.2889\\\\\n\t6 & 1925 & 7.2 & 3.2 & 23.15 & 79.2 & 106.6 & 2.1735\\\\\n\t7 & 1926 & 7.5 & 1.8 & 23.24 & 78.7 & 102.6 & 2.1073\\\\\n\\end{tabular}\n", + "text/plain": [ + " year divorce unemployed femlab marriage birth military\n", + "1 1920 8.0 5.2 22.70 92.0 117.9 3.2247 \n", + "2 1921 7.2 11.7 22.79 83.0 119.8 3.5614 \n", + "3 1922 6.6 6.7 22.88 79.7 111.2 2.4553 \n", + "4 1923 7.1 2.4 22.97 85.2 110.5 2.2065 \n", + "5 1924 7.2 5.0 23.06 80.3 110.9 2.2889 \n", + "6 1925 7.2 3.2 23.15 79.2 106.6 2.1735 \n", + "7 1926 7.5 1.8 23.24 78.7 102.6 2.1073 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "#help(divusa)" + ], + "metadata": { + "id": "C9a0KgLUDEv9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(divorce~ unemployed + femlab + marriage + birth + military , divusa)\n", + "summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "outputId": "12fe5b83-2969-4482-f99c-74854b92d737" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = divorce ~ unemployed + femlab + marriage + birth + \n", + " military, data = divusa)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.8611 -0.8916 -0.0496 0.8650 3.8300 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 2.48784 3.39378 0.733 0.4659 \n", + "unemployed -0.11125 0.05592 -1.989 0.0505 . \n", + "femlab 0.38365 0.03059 12.543 < 2e-16 ***\n", + "marriage 0.11867 0.02441 4.861 6.77e-06 ***\n", + "birth -0.12996 0.01560 -8.333 4.03e-12 ***\n", + "military -0.02673 0.01425 -1.876 0.0647 . \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.65 on 71 degrees of freedom\n", + "Multiple R-squared: 0.9208,\tAdjusted R-squared: 0.9152 \n", + "F-statistic: 165.1 on 5 and 71 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(cor(divusa),2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "BY7fuS7PDhgM", + "outputId": "eeba2af3-0f55-437a-b80f-6742398f76b7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 7 × 7 of type dbl
yeardivorceunemployedfemlabmarriagebirthmilitary
year 1.00 0.88-0.23 0.99-0.62-0.58 0.01
divorce 0.88 1.00-0.21 0.91-0.53-0.72 0.02
unemployed-0.23-0.21 1.00-0.26-0.27-0.31-0.40
femlab 0.99 0.91-0.26 1.00-0.65-0.60 0.05
marriage-0.62-0.53-0.27-0.65 1.00 0.67 0.26
birth-0.58-0.72-0.31-0.60 0.67 1.00 0.14
military 0.01 0.02-0.40 0.05 0.26 0.14 1.00
\n" + ], + "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | year | divorce | unemployed | femlab | marriage | birth | military |\n|---|---|---|---|---|---|---|---|\n| year | 1.00 | 0.88 | -0.23 | 0.99 | -0.62 | -0.58 | 0.01 |\n| divorce | 0.88 | 1.00 | -0.21 | 0.91 | -0.53 | -0.72 | 0.02 |\n| unemployed | -0.23 | -0.21 | 1.00 | -0.26 | -0.27 | -0.31 | -0.40 |\n| femlab | 0.99 | 0.91 | -0.26 | 1.00 | -0.65 | -0.60 | 0.05 |\n| marriage | -0.62 | -0.53 | -0.27 | -0.65 | 1.00 | 0.67 | 0.26 |\n| birth | -0.58 | -0.72 | -0.31 | -0.60 | 0.67 | 1.00 | 0.14 |\n| military | 0.01 | 0.02 | -0.40 | 0.05 | 0.26 | 0.14 | 1.00 |\n\n", + "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n\\hline\n\tyear & 1.00 & 0.88 & -0.23 & 0.99 & -0.62 & -0.58 & 0.01\\\\\n\tdivorce & 0.88 & 1.00 & -0.21 & 0.91 & -0.53 & -0.72 & 0.02\\\\\n\tunemployed & -0.23 & -0.21 & 1.00 & -0.26 & -0.27 & -0.31 & -0.40\\\\\n\tfemlab & 0.99 & 0.91 & -0.26 & 1.00 & -0.65 & -0.60 & 0.05\\\\\n\tmarriage & -0.62 & -0.53 & -0.27 & -0.65 & 1.00 & 0.67 & 0.26\\\\\n\tbirth & -0.58 & -0.72 & -0.31 & -0.60 & 0.67 & 1.00 & 0.14\\\\\n\tmilitary & 0.01 & 0.02 & -0.40 & 0.05 & 0.26 & 0.14 & 1.00\\\\\n\\end{tabular}\n", + "text/plain": [ + " year divorce unemployed femlab marriage birth military\n", + "year 1.00 0.88 -0.23 0.99 -0.62 -0.58 0.01 \n", + "divorce 0.88 1.00 -0.21 0.91 -0.53 -0.72 0.02 \n", + "unemployed -0.23 -0.21 1.00 -0.26 -0.27 -0.31 -0.40 \n", + "femlab 0.99 0.91 -0.26 1.00 -0.65 -0.60 0.05 \n", + "marriage -0.62 -0.53 -0.27 -0.65 1.00 0.67 0.26 \n", + "birth -0.58 -0.72 -0.31 -0.60 0.67 1.00 0.14 \n", + "military 0.01 0.02 -0.40 0.05 0.26 0.14 1.00 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "We do not see a collinearity among the variables of the model." + ], + "metadata": { + "id": "jVoJ9tsQ1m2Z" + } + }, + { + "cell_type": "code", + "source": [ + "##Condition number\n", + "X <- model.matrix(mdl1)[,-1]\n", + "e <- eigen(t(X) %*% X)\n", + "e$val" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "gCgRmUy6EiJ9", + "outputId": "55bcd6d4-aeb1-4e1b-a1f0-1f458bbf38fb" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1174600.54800538
  2. 21261.7407037959
  3. 16133.8418075074
  4. 6206.1809230216
  5. 1856.8943980144
\n" + ], + "text/markdown": "1. 1174600.54800538\n2. 21261.7407037959\n3. 16133.8418075074\n4. 6206.1809230216\n5. 1856.8943980144\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1174600.54800538\n\\item 21261.7407037959\n\\item 16133.8418075074\n\\item 6206.1809230216\n\\item 1856.8943980144\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1174600.548 21261.741 16133.842 6206.181 1856.894" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(sqrt(e$val[1]/e$val),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "IsjPq9USE5Tb", + "outputId": "3e77be31-14a9-4ce5-b9d7-4ad700a51297" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1
  2. 7.433
  3. 8.532
  4. 13.757
  5. 25.151
\n" + ], + "text/markdown": "1. 1\n2. 7.433\n3. 8.532\n4. 13.757\n5. 25.151\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 7.433\n\\item 8.532\n\\item 13.757\n\\item 25.151\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1.000 7.433 8.532 13.757 25.151" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1** The condition number is 25.151. This states that the collinearity in the model is very low." + ], + "metadata": { + "id": "qJfyICk30NKs" + } + }, + { + "cell_type": "code", + "source": [ + "##Variance Inflation factor\n", + "round(vif(X),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "z-KSwk5OFLY7", + "outputId": "e10c2b62-82dd-41de-b56e-f9dcd91a8aaf" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "
unemployed
2.253
femlab
3.613
marriage
2.865
birth
2.585
military
1.25
\n" + ], + "text/markdown": "unemployed\n: 2.253femlab\n: 3.613marriage\n: 2.865birth\n: 2.585military\n: 1.25\n\n", + "text/latex": "\\begin{description*}\n\\item[unemployed] 2.253\n\\item[femlab] 3.613\n\\item[marriage] 2.865\n\\item[birth] 2.585\n\\item[military] 1.25\n\\end{description*}\n", + "text/plain": [ + "unemployed femlab marriage birth military \n", + " 2.253 3.613 2.865 2.585 1.250 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2** There is a very low collinearity between the predictors. Hence we cannot conclusively say about the significance of the predictors." + ], + "metadata": { + "id": "qAboUqWsF7mb" + } + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.3** The model does not show collinearity. The predictors for \"femlab\", \"marriage\" and \"birth\" are significant for the current model." + ], + "metadata": { + "id": "QHTtkYAq2XMp" + } + }, + { + "cell_type": "markdown", + "source": [ + "________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "pSck8mXAGAwa" + } + }, + { + "cell_type": "code", + "source": [ + "data(longley)" + ], + "metadata": { + "id": "_i8IBbxXGJhK" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#help(longley)" + ], + "metadata": { + "id": "ioi-MXWUGTF6" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(Employed ~ . , data=longley)\n", + "summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "outputId": "34e6e630-0404-4296-ae39-203282593957" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = Employed ~ ., data = longley)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.41011 -0.15767 -0.02816 0.10155 0.45539 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -3.482e+03 8.904e+02 -3.911 0.003560 ** \n", + "GNP.deflator 1.506e-02 8.492e-02 0.177 0.863141 \n", + "GNP -3.582e-02 3.349e-02 -1.070 0.312681 \n", + "Unemployed -2.020e-02 4.884e-03 -4.136 0.002535 ** \n", + "Armed.Forces -1.033e-02 2.143e-03 -4.822 0.000944 ***\n", + "Population -5.110e-02 2.261e-01 -0.226 0.826212 \n", + "Year 1.829e+00 4.555e-01 4.016 0.003037 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.3049 on 9 degrees of freedom\n", + "Multiple R-squared: 0.9955,\tAdjusted R-squared: 0.9925 \n", + "F-statistic: 330.3 on 6 and 9 DF, p-value: 4.984e-10\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "##Condition number\n", + "Y <- model.matrix(mdl2)[,-1]\n", + "e2 <- eigen(t(Y) %*% Y)\n", + "e2$val" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "uxG5ovW-HTcT", + "outputId": "89956677-8e59-44ab-a0d8-8ca9faa3d038" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 66652992.8830627
  2. 209072.969152225
  3. 105355.04774725
  4. 18039.7602023753
  5. 24.5572969930849
  6. 2.01511742187054
\n" + ], + "text/markdown": "1. 66652992.8830627\n2. 209072.969152225\n3. 105355.04774725\n4. 18039.7602023753\n5. 24.5572969930849\n6. 2.01511742187054\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 66652992.8830627\n\\item 209072.969152225\n\\item 105355.04774725\n\\item 18039.7602023753\n\\item 24.5572969930849\n\\item 2.01511742187054\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 6.665299e+07 2.090730e+05 1.053550e+05 1.803976e+04 2.455730e+01\n", + "[6] 2.015117e+00" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(sqrt(e2$val[1]/e2$val),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "oq5IM6bkHtzT", + "outputId": "31e0bb6b-3bf5-4af1-b4fb-078ee9f455a5" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1
  2. 17.855
  3. 25.153
  4. 60.785
  5. 1647.478
  6. 5751.216
\n" + ], + "text/markdown": "1. 1\n2. 17.855\n3. 25.153\n4. 60.785\n5. 1647.478\n6. 5751.216\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 17.855\n\\item 25.153\n\\item 60.785\n\\item 1647.478\n\\item 5751.216\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1.000 17.855 25.153 60.785 1647.478 5751.216" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1** The condition numbers are large stating that the collinearity in the model is high. Also we see that the predictors (except \"Armed.Forces\") are not significant." + ], + "metadata": { + "id": "O-zAnBIX3Zz9" + } + }, + { + "cell_type": "code", + "source": [ + "round(cor(longley),2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "-A4HAGVCHTlk", + "outputId": "36ee3d4a-c337-4926-c223-2d5ce1f009cc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 7 × 7 of type dbl
GNP.deflatorGNPUnemployedArmed.ForcesPopulationYearEmployed
GNP.deflator1.000.99 0.62 0.460.980.990.97
GNP0.991.00 0.60 0.450.991.000.98
Unemployed0.620.60 1.00-0.180.690.670.50
Armed.Forces0.460.45-0.18 1.000.360.420.46
Population0.980.99 0.69 0.361.000.990.96
Year0.991.00 0.67 0.420.991.000.97
Employed0.970.98 0.50 0.460.960.971.00
\n" + ], + "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | GNP.deflator | GNP | Unemployed | Armed.Forces | Population | Year | Employed |\n|---|---|---|---|---|---|---|---|\n| GNP.deflator | 1.00 | 0.99 | 0.62 | 0.46 | 0.98 | 0.99 | 0.97 |\n| GNP | 0.99 | 1.00 | 0.60 | 0.45 | 0.99 | 1.00 | 0.98 |\n| Unemployed | 0.62 | 0.60 | 1.00 | -0.18 | 0.69 | 0.67 | 0.50 |\n| Armed.Forces | 0.46 | 0.45 | -0.18 | 1.00 | 0.36 | 0.42 | 0.46 |\n| Population | 0.98 | 0.99 | 0.69 | 0.36 | 1.00 | 0.99 | 0.96 |\n| Year | 0.99 | 1.00 | 0.67 | 0.42 | 0.99 | 1.00 | 0.97 |\n| Employed | 0.97 | 0.98 | 0.50 | 0.46 | 0.96 | 0.97 | 1.00 |\n\n", + "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & GNP.deflator & GNP & Unemployed & Armed.Forces & Population & Year & Employed\\\\\n\\hline\n\tGNP.deflator & 1.00 & 0.99 & 0.62 & 0.46 & 0.98 & 0.99 & 0.97\\\\\n\tGNP & 0.99 & 1.00 & 0.60 & 0.45 & 0.99 & 1.00 & 0.98\\\\\n\tUnemployed & 0.62 & 0.60 & 1.00 & -0.18 & 0.69 & 0.67 & 0.50\\\\\n\tArmed.Forces & 0.46 & 0.45 & -0.18 & 1.00 & 0.36 & 0.42 & 0.46\\\\\n\tPopulation & 0.98 & 0.99 & 0.69 & 0.36 & 1.00 & 0.99 & 0.96\\\\\n\tYear & 0.99 & 1.00 & 0.67 & 0.42 & 0.99 & 1.00 & 0.97\\\\\n\tEmployed & 0.97 & 0.98 & 0.50 & 0.46 & 0.96 & 0.97 & 1.00\\\\\n\\end{tabular}\n", + "text/plain": [ + " GNP.deflator GNP Unemployed Armed.Forces Population Year Employed\n", + "GNP.deflator 1.00 0.99 0.62 0.46 0.98 0.99 0.97 \n", + "GNP 0.99 1.00 0.60 0.45 0.99 1.00 0.98 \n", + "Unemployed 0.62 0.60 1.00 -0.18 0.69 0.67 0.50 \n", + "Armed.Forces 0.46 0.45 -0.18 1.00 0.36 0.42 0.46 \n", + "Population 0.98 0.99 0.69 0.36 1.00 0.99 0.96 \n", + "Year 0.99 1.00 0.67 0.42 0.99 1.00 0.97 \n", + "Employed 0.97 0.98 0.50 0.46 0.96 0.97 1.00 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2** We see that there is high correlation between \"GNP.deflator\", \"GNP\", \"Population\" and \"Year" + ], + "metadata": { + "id": "oYyTgYfI30dy" + } + }, + { + "cell_type": "markdown", + "source": [ + "**And 2.3** The Variance Inflation factors are as follows:" + ], + "metadata": { + "id": "wP45pH9F4k6t" + } + }, + { + "cell_type": "code", + "source": [ + "##Variance Inflation factor\n", + "round(vif(Y),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "vTGs6S3rIIh1", + "outputId": "2c165d9e-d014-4a52-ce44-53b1242b4bfc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "
GNP.deflator
135.532
GNP
1788.513
Unemployed
33.619
Armed.Forces
3.589
Population
399.151
Year
758.981
\n" + ], + "text/markdown": "GNP.deflator\n: 135.532GNP\n: 1788.513Unemployed\n: 33.619Armed.Forces\n: 3.589Population\n: 399.151Year\n: 758.981\n\n", + "text/latex": "\\begin{description*}\n\\item[GNP.deflator] 135.532\n\\item[GNP] 1788.513\n\\item[Unemployed] 33.619\n\\item[Armed.Forces] 3.589\n\\item[Population] 399.151\n\\item[Year] 758.981\n\\end{description*}\n", + "text/plain": [ + "GNP.deflator GNP Unemployed Armed.Forces Population Year \n", + " 135.532 1788.513 33.619 3.589 399.151 758.981 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "The VIF are large showing greater correlation between predictors." + ], + "metadata": { + "id": "r-XahwmJ4ziA" + } + }, + { + "cell_type": "markdown", + "source": [ + "We drop off \"GNP.deflator\", \"Population\" and \"Year\" variables." + ], + "metadata": { + "id": "bxSat9Wk4jHO" + } + }, + { + "cell_type": "code", + "source": [ + "mdl3 <- lm(Employed ~ longley$GNP+longley$Armed.Forces+longley$Unemployed , data=longley)\n", + "summary(mdl3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "tFjkJ7pQ45N2", + "outputId": "bf40e52b-d6b0-4f84-baf0-000921a199db" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = Employed ~ longley$GNP + longley$Armed.Forces + \n", + " longley$Unemployed, data = longley)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.83085 -0.22306 0.01735 0.10699 1.08090 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 53.306461 0.716342 74.415 < 2e-16 ***\n", + "longley$GNP 0.040788 0.002207 18.485 3.49e-10 ***\n", + "longley$Armed.Forces -0.004828 0.002552 -1.892 0.08286 . \n", + "longley$Unemployed -0.007968 0.002134 -3.734 0.00285 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.4793 on 12 degrees of freedom\n", + "Multiple R-squared: 0.9851,\tAdjusted R-squared: 0.9814 \n", + "F-statistic: 264.4 on 3 and 12 DF, p-value: 3.189e-11\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "The predictors now show greater significance with minor loss of prediction (R^2)." + ], + "metadata": { + "id": "HNC5znTM5yXE" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 3a6f946d7f9efe876259ed3e138f5f416786f621 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 28 Oct 2022 12:55:09 -0400 Subject: [PATCH 06/11] Created using Colaboratory --- Stats_500_hw_5_003.ipynb | 789 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 789 insertions(+) create mode 100644 Stats_500_hw_5_003.ipynb diff --git a/Stats_500_hw_5_003.ipynb b/Stats_500_hw_5_003.ipynb new file mode 100644 index 00000000..bf1576b7 --- /dev/null +++ b/Stats_500_hw_5_003.ipynb @@ -0,0 +1,789 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyMF7oYEtbuCzxJzLHaREUHH", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 5\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "6edd1d89-ddd5-4b48-af33-8319e236e032" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(divusa)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "divusa[0:7,]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 318 + }, + "id": "8mhhMcndEAy1", + "outputId": "f60140cd-486f-4ecf-d9e9-b65e1e6d0396" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.frame: 7 × 7
yeardivorceunemployedfemlabmarriagebirthmilitary
<int><dbl><dbl><dbl><dbl><dbl><dbl>
119208.0 5.222.7092.0117.93.2247
219217.211.722.7983.0119.83.5614
319226.6 6.722.8879.7111.22.4553
419237.1 2.422.9785.2110.52.2065
519247.2 5.023.0680.3110.92.2889
619257.2 3.223.1579.2106.62.1735
719267.5 1.823.2478.7102.62.1073
\n" + ], + "text/markdown": "\nA data.frame: 7 × 7\n\n| | year <int> | divorce <dbl> | unemployed <dbl> | femlab <dbl> | marriage <dbl> | birth <dbl> | military <dbl> |\n|---|---|---|---|---|---|---|---|\n| 1 | 1920 | 8.0 | 5.2 | 22.70 | 92.0 | 117.9 | 3.2247 |\n| 2 | 1921 | 7.2 | 11.7 | 22.79 | 83.0 | 119.8 | 3.5614 |\n| 3 | 1922 | 6.6 | 6.7 | 22.88 | 79.7 | 111.2 | 2.4553 |\n| 4 | 1923 | 7.1 | 2.4 | 22.97 | 85.2 | 110.5 | 2.2065 |\n| 5 | 1924 | 7.2 | 5.0 | 23.06 | 80.3 | 110.9 | 2.2889 |\n| 6 | 1925 | 7.2 | 3.2 | 23.15 | 79.2 | 106.6 | 2.1735 |\n| 7 | 1926 | 7.5 | 1.8 | 23.24 | 78.7 | 102.6 | 2.1073 |\n\n", + "text/latex": "A data.frame: 7 × 7\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n & & & & & & & \\\\\n\\hline\n\t1 & 1920 & 8.0 & 5.2 & 22.70 & 92.0 & 117.9 & 3.2247\\\\\n\t2 & 1921 & 7.2 & 11.7 & 22.79 & 83.0 & 119.8 & 3.5614\\\\\n\t3 & 1922 & 6.6 & 6.7 & 22.88 & 79.7 & 111.2 & 2.4553\\\\\n\t4 & 1923 & 7.1 & 2.4 & 22.97 & 85.2 & 110.5 & 2.2065\\\\\n\t5 & 1924 & 7.2 & 5.0 & 23.06 & 80.3 & 110.9 & 2.2889\\\\\n\t6 & 1925 & 7.2 & 3.2 & 23.15 & 79.2 & 106.6 & 2.1735\\\\\n\t7 & 1926 & 7.5 & 1.8 & 23.24 & 78.7 & 102.6 & 2.1073\\\\\n\\end{tabular}\n", + "text/plain": [ + " year divorce unemployed femlab marriage birth military\n", + "1 1920 8.0 5.2 22.70 92.0 117.9 3.2247 \n", + "2 1921 7.2 11.7 22.79 83.0 119.8 3.5614 \n", + "3 1922 6.6 6.7 22.88 79.7 111.2 2.4553 \n", + "4 1923 7.1 2.4 22.97 85.2 110.5 2.2065 \n", + "5 1924 7.2 5.0 23.06 80.3 110.9 2.2889 \n", + "6 1925 7.2 3.2 23.15 79.2 106.6 2.1735 \n", + "7 1926 7.5 1.8 23.24 78.7 102.6 2.1073 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "#help(divusa)" + ], + "metadata": { + "id": "C9a0KgLUDEv9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl1 <- lm(divorce~ unemployed + femlab + marriage + birth + military , divusa)\n", + "summary(mdl1)" + ], + "metadata": { + "id": "2J2ALsg3DL0x", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "outputId": "12fe5b83-2969-4482-f99c-74854b92d737" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = divorce ~ unemployed + femlab + marriage + birth + \n", + " military, data = divusa)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.8611 -0.8916 -0.0496 0.8650 3.8300 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 2.48784 3.39378 0.733 0.4659 \n", + "unemployed -0.11125 0.05592 -1.989 0.0505 . \n", + "femlab 0.38365 0.03059 12.543 < 2e-16 ***\n", + "marriage 0.11867 0.02441 4.861 6.77e-06 ***\n", + "birth -0.12996 0.01560 -8.333 4.03e-12 ***\n", + "military -0.02673 0.01425 -1.876 0.0647 . \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.65 on 71 degrees of freedom\n", + "Multiple R-squared: 0.9208,\tAdjusted R-squared: 0.9152 \n", + "F-statistic: 165.1 on 5 and 71 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(cor(divusa),2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "BY7fuS7PDhgM", + "outputId": "eeba2af3-0f55-437a-b80f-6742398f76b7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 7 × 7 of type dbl
yeardivorceunemployedfemlabmarriagebirthmilitary
year 1.00 0.88-0.23 0.99-0.62-0.58 0.01
divorce 0.88 1.00-0.21 0.91-0.53-0.72 0.02
unemployed-0.23-0.21 1.00-0.26-0.27-0.31-0.40
femlab 0.99 0.91-0.26 1.00-0.65-0.60 0.05
marriage-0.62-0.53-0.27-0.65 1.00 0.67 0.26
birth-0.58-0.72-0.31-0.60 0.67 1.00 0.14
military 0.01 0.02-0.40 0.05 0.26 0.14 1.00
\n" + ], + "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | year | divorce | unemployed | femlab | marriage | birth | military |\n|---|---|---|---|---|---|---|---|\n| year | 1.00 | 0.88 | -0.23 | 0.99 | -0.62 | -0.58 | 0.01 |\n| divorce | 0.88 | 1.00 | -0.21 | 0.91 | -0.53 | -0.72 | 0.02 |\n| unemployed | -0.23 | -0.21 | 1.00 | -0.26 | -0.27 | -0.31 | -0.40 |\n| femlab | 0.99 | 0.91 | -0.26 | 1.00 | -0.65 | -0.60 | 0.05 |\n| marriage | -0.62 | -0.53 | -0.27 | -0.65 | 1.00 | 0.67 | 0.26 |\n| birth | -0.58 | -0.72 | -0.31 | -0.60 | 0.67 | 1.00 | 0.14 |\n| military | 0.01 | 0.02 | -0.40 | 0.05 | 0.26 | 0.14 | 1.00 |\n\n", + "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n\\hline\n\tyear & 1.00 & 0.88 & -0.23 & 0.99 & -0.62 & -0.58 & 0.01\\\\\n\tdivorce & 0.88 & 1.00 & -0.21 & 0.91 & -0.53 & -0.72 & 0.02\\\\\n\tunemployed & -0.23 & -0.21 & 1.00 & -0.26 & -0.27 & -0.31 & -0.40\\\\\n\tfemlab & 0.99 & 0.91 & -0.26 & 1.00 & -0.65 & -0.60 & 0.05\\\\\n\tmarriage & -0.62 & -0.53 & -0.27 & -0.65 & 1.00 & 0.67 & 0.26\\\\\n\tbirth & -0.58 & -0.72 & -0.31 & -0.60 & 0.67 & 1.00 & 0.14\\\\\n\tmilitary & 0.01 & 0.02 & -0.40 & 0.05 & 0.26 & 0.14 & 1.00\\\\\n\\end{tabular}\n", + "text/plain": [ + " year divorce unemployed femlab marriage birth military\n", + "year 1.00 0.88 -0.23 0.99 -0.62 -0.58 0.01 \n", + "divorce 0.88 1.00 -0.21 0.91 -0.53 -0.72 0.02 \n", + "unemployed -0.23 -0.21 1.00 -0.26 -0.27 -0.31 -0.40 \n", + "femlab 0.99 0.91 -0.26 1.00 -0.65 -0.60 0.05 \n", + "marriage -0.62 -0.53 -0.27 -0.65 1.00 0.67 0.26 \n", + "birth -0.58 -0.72 -0.31 -0.60 0.67 1.00 0.14 \n", + "military 0.01 0.02 -0.40 0.05 0.26 0.14 1.00 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "We do not see a collinearity among the variables of the model." + ], + "metadata": { + "id": "jVoJ9tsQ1m2Z" + } + }, + { + "cell_type": "code", + "source": [ + "##Condition number\n", + "X <- model.matrix(mdl1)[,-1]\n", + "e <- eigen(t(X) %*% X)\n", + "e$val" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "gCgRmUy6EiJ9", + "outputId": "55bcd6d4-aeb1-4e1b-a1f0-1f458bbf38fb" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1174600.54800538
  2. 21261.7407037959
  3. 16133.8418075074
  4. 6206.1809230216
  5. 1856.8943980144
\n" + ], + "text/markdown": "1. 1174600.54800538\n2. 21261.7407037959\n3. 16133.8418075074\n4. 6206.1809230216\n5. 1856.8943980144\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1174600.54800538\n\\item 21261.7407037959\n\\item 16133.8418075074\n\\item 6206.1809230216\n\\item 1856.8943980144\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1174600.548 21261.741 16133.842 6206.181 1856.894" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(sqrt(e$val[1]/e$val),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "IsjPq9USE5Tb", + "outputId": "3e77be31-14a9-4ce5-b9d7-4ad700a51297" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1
  2. 7.433
  3. 8.532
  4. 13.757
  5. 25.151
\n" + ], + "text/markdown": "1. 1\n2. 7.433\n3. 8.532\n4. 13.757\n5. 25.151\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 7.433\n\\item 8.532\n\\item 13.757\n\\item 25.151\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1.000 7.433 8.532 13.757 25.151" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.1** The condition number is 25.151. This states that the collinearity in the model is very low." + ], + "metadata": { + "id": "qJfyICk30NKs" + } + }, + { + "cell_type": "code", + "source": [ + "##Variance Inflation factor\n", + "round(vif(X),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "z-KSwk5OFLY7", + "outputId": "e10c2b62-82dd-41de-b56e-f9dcd91a8aaf" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "
unemployed
2.253
femlab
3.613
marriage
2.865
birth
2.585
military
1.25
\n" + ], + "text/markdown": "unemployed\n: 2.253femlab\n: 3.613marriage\n: 2.865birth\n: 2.585military\n: 1.25\n\n", + "text/latex": "\\begin{description*}\n\\item[unemployed] 2.253\n\\item[femlab] 3.613\n\\item[marriage] 2.865\n\\item[birth] 2.585\n\\item[military] 1.25\n\\end{description*}\n", + "text/plain": [ + "unemployed femlab marriage birth military \n", + " 2.253 3.613 2.865 2.585 1.250 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.2** There is a very low collinearity between the predictors. Hence we cannot conclusively say about the significance of the predictors." + ], + "metadata": { + "id": "qAboUqWsF7mb" + } + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.3** The model does not show collinearity. The predictors for \"femlab\", \"marriage\" and \"birth\" are significant for the current model." + ], + "metadata": { + "id": "QHTtkYAq2XMp" + } + }, + { + "cell_type": "markdown", + "source": [ + "________________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "pSck8mXAGAwa" + } + }, + { + "cell_type": "code", + "source": [ + "data(longley)" + ], + "metadata": { + "id": "_i8IBbxXGJhK" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#help(longley)" + ], + "metadata": { + "id": "ioi-MXWUGTF6" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl2 <- lm(Employed ~ . , data=longley)\n", + "summary(mdl2)" + ], + "metadata": { + "id": "H2oqDqweD8je", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "outputId": "34e6e630-0404-4296-ae39-203282593957" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = Employed ~ ., data = longley)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.41011 -0.15767 -0.02816 0.10155 0.45539 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -3.482e+03 8.904e+02 -3.911 0.003560 ** \n", + "GNP.deflator 1.506e-02 8.492e-02 0.177 0.863141 \n", + "GNP -3.582e-02 3.349e-02 -1.070 0.312681 \n", + "Unemployed -2.020e-02 4.884e-03 -4.136 0.002535 ** \n", + "Armed.Forces -1.033e-02 2.143e-03 -4.822 0.000944 ***\n", + "Population -5.110e-02 2.261e-01 -0.226 0.826212 \n", + "Year 1.829e+00 4.555e-01 4.016 0.003037 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.3049 on 9 degrees of freedom\n", + "Multiple R-squared: 0.9955,\tAdjusted R-squared: 0.9925 \n", + "F-statistic: 330.3 on 6 and 9 DF, p-value: 4.984e-10\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "##Condition number\n", + "Y <- model.matrix(mdl2)[,-1]\n", + "e2 <- eigen(t(Y) %*% Y)\n", + "e2$val" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "uxG5ovW-HTcT", + "outputId": "89956677-8e59-44ab-a0d8-8ca9faa3d038" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 66652992.8830627
  2. 209072.969152225
  3. 105355.04774725
  4. 18039.7602023753
  5. 24.5572969930849
  6. 2.01511742187054
\n" + ], + "text/markdown": "1. 66652992.8830627\n2. 209072.969152225\n3. 105355.04774725\n4. 18039.7602023753\n5. 24.5572969930849\n6. 2.01511742187054\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 66652992.8830627\n\\item 209072.969152225\n\\item 105355.04774725\n\\item 18039.7602023753\n\\item 24.5572969930849\n\\item 2.01511742187054\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 6.665299e+07 2.090730e+05 1.053550e+05 1.803976e+04 2.455730e+01\n", + "[6] 2.015117e+00" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "round(sqrt(e2$val[1]/e2$val),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "oq5IM6bkHtzT", + "outputId": "31e0bb6b-3bf5-4af1-b4fb-078ee9f455a5" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "
  1. 1
  2. 17.855
  3. 25.153
  4. 60.785
  5. 1647.478
  6. 5751.216
\n" + ], + "text/markdown": "1. 1\n2. 17.855\n3. 25.153\n4. 60.785\n5. 1647.478\n6. 5751.216\n\n\n", + "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 17.855\n\\item 25.153\n\\item 60.785\n\\item 1647.478\n\\item 5751.216\n\\end{enumerate*}\n", + "text/plain": [ + "[1] 1.000 17.855 25.153 60.785 1647.478 5751.216" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.1** The condition numbers are large stating that the collinearity in the model is high. Also we see that the predictors (except \"Armed.Forces\") are not significant." + ], + "metadata": { + "id": "O-zAnBIX3Zz9" + } + }, + { + "cell_type": "code", + "source": [ + "round(cor(longley),2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "-A4HAGVCHTlk", + "outputId": "36ee3d4a-c337-4926-c223-2d5ce1f009cc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 7 × 7 of type dbl
GNP.deflatorGNPUnemployedArmed.ForcesPopulationYearEmployed
GNP.deflator1.000.99 0.62 0.460.980.990.97
GNP0.991.00 0.60 0.450.991.000.98
Unemployed0.620.60 1.00-0.180.690.670.50
Armed.Forces0.460.45-0.18 1.000.360.420.46
Population0.980.99 0.69 0.361.000.990.96
Year0.991.00 0.67 0.420.991.000.97
Employed0.970.98 0.50 0.460.960.971.00
\n" + ], + "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | GNP.deflator | GNP | Unemployed | Armed.Forces | Population | Year | Employed |\n|---|---|---|---|---|---|---|---|\n| GNP.deflator | 1.00 | 0.99 | 0.62 | 0.46 | 0.98 | 0.99 | 0.97 |\n| GNP | 0.99 | 1.00 | 0.60 | 0.45 | 0.99 | 1.00 | 0.98 |\n| Unemployed | 0.62 | 0.60 | 1.00 | -0.18 | 0.69 | 0.67 | 0.50 |\n| Armed.Forces | 0.46 | 0.45 | -0.18 | 1.00 | 0.36 | 0.42 | 0.46 |\n| Population | 0.98 | 0.99 | 0.69 | 0.36 | 1.00 | 0.99 | 0.96 |\n| Year | 0.99 | 1.00 | 0.67 | 0.42 | 0.99 | 1.00 | 0.97 |\n| Employed | 0.97 | 0.98 | 0.50 | 0.46 | 0.96 | 0.97 | 1.00 |\n\n", + "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & GNP.deflator & GNP & Unemployed & Armed.Forces & Population & Year & Employed\\\\\n\\hline\n\tGNP.deflator & 1.00 & 0.99 & 0.62 & 0.46 & 0.98 & 0.99 & 0.97\\\\\n\tGNP & 0.99 & 1.00 & 0.60 & 0.45 & 0.99 & 1.00 & 0.98\\\\\n\tUnemployed & 0.62 & 0.60 & 1.00 & -0.18 & 0.69 & 0.67 & 0.50\\\\\n\tArmed.Forces & 0.46 & 0.45 & -0.18 & 1.00 & 0.36 & 0.42 & 0.46\\\\\n\tPopulation & 0.98 & 0.99 & 0.69 & 0.36 & 1.00 & 0.99 & 0.96\\\\\n\tYear & 0.99 & 1.00 & 0.67 & 0.42 & 0.99 & 1.00 & 0.97\\\\\n\tEmployed & 0.97 & 0.98 & 0.50 & 0.46 & 0.96 & 0.97 & 1.00\\\\\n\\end{tabular}\n", + "text/plain": [ + " GNP.deflator GNP Unemployed Armed.Forces Population Year Employed\n", + "GNP.deflator 1.00 0.99 0.62 0.46 0.98 0.99 0.97 \n", + "GNP 0.99 1.00 0.60 0.45 0.99 1.00 0.98 \n", + "Unemployed 0.62 0.60 1.00 -0.18 0.69 0.67 0.50 \n", + "Armed.Forces 0.46 0.45 -0.18 1.00 0.36 0.42 0.46 \n", + "Population 0.98 0.99 0.69 0.36 1.00 0.99 0.96 \n", + "Year 0.99 1.00 0.67 0.42 0.99 1.00 0.97 \n", + "Employed 0.97 0.98 0.50 0.46 0.96 0.97 1.00 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.2** We see that there is high correlation between \"GNP.deflator\", \"GNP\", \"Population\" and \"Year" + ], + "metadata": { + "id": "oYyTgYfI30dy" + } + }, + { + "cell_type": "markdown", + "source": [ + "**And 2.3** The Variance Inflation factors are as follows:" + ], + "metadata": { + "id": "wP45pH9F4k6t" + } + }, + { + "cell_type": "code", + "source": [ + "##Variance Inflation factor\n", + "round(vif(Y),3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "vTGs6S3rIIh1", + "outputId": "2c165d9e-d014-4a52-ce44-53b1242b4bfc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "
GNP.deflator
135.532
GNP
1788.513
Unemployed
33.619
Armed.Forces
3.589
Population
399.151
Year
758.981
\n" + ], + "text/markdown": "GNP.deflator\n: 135.532GNP\n: 1788.513Unemployed\n: 33.619Armed.Forces\n: 3.589Population\n: 399.151Year\n: 758.981\n\n", + "text/latex": "\\begin{description*}\n\\item[GNP.deflator] 135.532\n\\item[GNP] 1788.513\n\\item[Unemployed] 33.619\n\\item[Armed.Forces] 3.589\n\\item[Population] 399.151\n\\item[Year] 758.981\n\\end{description*}\n", + "text/plain": [ + "GNP.deflator GNP Unemployed Armed.Forces Population Year \n", + " 135.532 1788.513 33.619 3.589 399.151 758.981 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "The VIF are large showing greater correlation between predictors." + ], + "metadata": { + "id": "r-XahwmJ4ziA" + } + }, + { + "cell_type": "markdown", + "source": [ + "We drop off \"GNP.deflator\", \"Population\" and \"Year\" variables." + ], + "metadata": { + "id": "bxSat9Wk4jHO" + } + }, + { + "cell_type": "code", + "source": [ + "mdl3 <- lm(Employed ~ longley$GNP+longley$Armed.Forces+longley$Unemployed , data=longley)\n", + "summary(mdl3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "tFjkJ7pQ45N2", + "outputId": "bf40e52b-d6b0-4f84-baf0-000921a199db" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = Employed ~ longley$GNP + longley$Armed.Forces + \n", + " longley$Unemployed, data = longley)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.83085 -0.22306 0.01735 0.10699 1.08090 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 53.306461 0.716342 74.415 < 2e-16 ***\n", + "longley$GNP 0.040788 0.002207 18.485 3.49e-10 ***\n", + "longley$Armed.Forces -0.004828 0.002552 -1.892 0.08286 . \n", + "longley$Unemployed -0.007968 0.002134 -3.734 0.00285 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.4793 on 12 degrees of freedom\n", + "Multiple R-squared: 0.9851,\tAdjusted R-squared: 0.9814 \n", + "F-statistic: 264.4 on 3 and 12 DF, p-value: 3.189e-11\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "The predictors now show greater significance with minor loss of prediction (R^2)." + ], + "metadata": { + "id": "NQojmYWjhGV6" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "HNC5znTM5yXE" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "QA50irzxg8sC" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "k2--UvsEg8kf" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "L9MQRs57g8cb" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "6l8E2V7Lg8R_" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 13f81a7884a1fc56ff799add2f63736cd35dc2f6 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 4 Nov 2022 16:56:31 -0400 Subject: [PATCH 07/11] Created using Colaboratory --- STATS_500_Hw_6_001.ipynb | 682 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 682 insertions(+) create mode 100644 STATS_500_Hw_6_001.ipynb diff --git a/STATS_500_Hw_6_001.ipynb b/STATS_500_Hw_6_001.ipynb new file mode 100644 index 00000000..97bc634e --- /dev/null +++ b/STATS_500_Hw_6_001.ipynb @@ -0,0 +1,682 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyMr9tsdNfsxyOltK6XwrhdR", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 6\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "1255246e-52e9-4a76-e525-efc59a55de60" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "Warning message in install.packages(\"faraway\"):\n", + "“installation of package ‘faraway’ had non-zero exit status”\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(sat)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#plot(sat)" + ], + "metadata": { + "id": "h5ZcVDWOO5yv" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Ordinary Least Square Method\n", + "mdl1 <- lm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "JJ-ES-ExPAV8", + "outputId": "7406235b-e5b7-475c-d078-2d8d69954e86" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-90.531 -20.855 -1.746 15.979 66.571 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1045.9715 52.8698 19.784 < 2e-16 ***\n", + "takers -2.9045 0.2313 -12.559 2.61e-16 ***\n", + "ratio -3.6242 3.2154 -1.127 0.266 \n", + "salary 1.6379 2.3872 0.686 0.496 \n", + "expend 4.4626 10.5465 0.423 0.674 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 32.7 on 45 degrees of freedom\n", + "Multiple R-squared: 0.8246,\tAdjusted R-squared: 0.809 \n", + "F-statistic: 52.88 on 4 and 45 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.a)**\n", + "Here β0 and β1 are significant." + ], + "metadata": { + "id": "slYoKHbWSzX7" + } + }, + { + "cell_type": "code", + "source": [ + "library(MASS)" + ], + "metadata": { + "id": "SwB1ws9vPcq1" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Least Absolute Deviations Method\n", + "mdl3 <- rq(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 225 + }, + "id": "PtltbFfPQFI4", + "outputId": "08d39014-2c3b-422c-9715-1c5d7e4095a9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call: rq(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "\n", + "tau: [1] 0.5\n", + "\n", + "Coefficients:\n", + " coefficients lower bd upper bd \n", + "(Intercept) 1090.89886 920.17149 1151.85075\n", + "takers -3.13961 -3.38485 -2.66479\n", + "ratio -7.26632 -10.73796 1.62341\n", + "salary 3.18313 -0.15788 5.41909\n", + "expend -0.79753 -8.88001 20.92522" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.b)**\n", + "For the Least Absolute Deviation model the coeffiecients for \"ratio\", \"salary\" and \"expend\" have 0 in their confidence interval. It states that the significance of these coefficients is low and hence β0 and β1 are significant. " + ], + "metadata": { + "id": "2QBlRMFfudZp" + } + }, + { + "cell_type": "code", + "source": [ + "install.packages(\"quantreg\")\n", + "library(quantreg)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "emYnpmxQPy8l", + "outputId": "9b9bb7fd-9436-49e0-941a-7d614d45aff8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Huber's Method\n", + "mdl2 <- rlm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 277 + }, + "id": "1tnmajILPfYJ", + "outputId": "519298db-2f59-42d6-b042-a36a1f8e0c8c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call: rlm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-92.510 -17.701 -1.002 15.015 77.058 \n", + "\n", + "Coefficients:\n", + " Value Std. Error t value \n", + "(Intercept) 1060.2074 49.8845 21.2533\n", + "takers -2.9778 0.2182 -13.6470\n", + "ratio -5.1254 3.0339 -1.6894\n", + "salary 2.0933 2.2525 0.9293\n", + "expend 3.9158 9.9510 0.3935\n", + "\n", + "Residual standard error: 25.58 on 45 degrees of freedom" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "2 * pt(-(abs(21.2533)), 45)\n", + "2 * pt(-(abs(-13.6470)), 45)\n", + "2 * pt(-(abs(-1.6894)), 45)\n", + "2 * pt(-(abs(0.9293)), 45)\n", + "2 * pt(-(abs(0.3935)), 45)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "id": "8vOdb9WYrLuC", + "outputId": "b926eb74-daef-4906-fef7-39f512989977" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "4.24361389959165e-25" + ], + "text/markdown": "4.24361389959165e-25", + "text/latex": "4.24361389959165e-25", + "text/plain": [ + "[1] 4.243614e-25" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "1.32907452144191e-17" + ], + "text/markdown": "1.32907452144191e-17", + "text/latex": "1.32907452144191e-17", + "text/plain": [ + "[1] 1.329075e-17" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.098060880287284" + ], + "text/markdown": "0.098060880287284", + "text/latex": "0.098060880287284", + "text/plain": [ + "[1] 0.09806088" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.357692034447825" + ], + "text/markdown": "0.357692034447825", + "text/latex": "0.357692034447825", + "text/plain": [ + "[1] 0.357692" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.695808503448403" + ], + "text/markdown": "0.695808503448403", + "text/latex": "0.695808503448403", + "text/plain": [ + "[1] 0.6958085" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.c)** The p-values for β0 and β1 are < α (5%). Therefore they are significant." + ], + "metadata": { + "id": "ove6dAXzskVW" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "dX9TyTecm_S4" + } + }, + { + "cell_type": "code", + "source": [ + "data(cheddar)" + ], + "metadata": { + "id": "eJQ3vxy-nDi6" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl5 <- lm(taste ~ . , data = cheddar)\n", + "summary(mdl5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "NbFUVOVsnJ9W", + "outputId": "2e1207d3-a207-4c27-899a-44ca8a66bb70" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = taste ~ ., data = cheddar)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-17.390 -6.612 -1.009 4.908 25.449 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -28.8768 19.7354 -1.463 0.15540 \n", + "Acetic 0.3277 4.4598 0.073 0.94198 \n", + "H2S 3.9118 1.2484 3.133 0.00425 **\n", + "Lactic 19.6705 8.6291 2.280 0.03108 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 10.13 on 26 degrees of freedom\n", + "Multiple R-squared: 0.6518,\tAdjusted R-squared: 0.6116 \n", + "F-statistic: 16.22 on 3 and 26 DF, p-value: 3.81e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "a <- seq(1,30)\n", + "cheddar$time <- a\n", + "#summary(cheddar)" + ], + "metadata": { + "id": "3gDqsWRfo7bq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Ploting errors vs time\n", + "plot(cheddar$time, (mdl5$residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm((mdl5$residuals)~cheddar$time),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "BFCWmOqNtpra", + "outputId": "4f58fa51-81db-40d9-ed88-6e6c53371d88" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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Ae7YgEAUAB2xbYVt0zRndte8+WEiv7z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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.a)**\n", + "\n", + "The plot shows that the errors vary according to time. Hence we may consider time as a parameter for the model." + ], + "metadata": { + "id": "3rfk6kTcqlMN" + } + }, + { + "cell_type": "code", + "source": [ + "#Fit a GLS model \n", + "library(nlme)\n", + "mdl6 <- gls(taste ~ Acetic + H2S + Lactic, correlation = corAR1(form = ~time) , data = cheddar)\n", + "summary(mdl6)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 555 + }, + "id": "Mgc65PmDwCN1", + "outputId": "c505537e-bfd7-4f25-ee45-615e2ef2d73c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Generalized least squares fit by REML\n", + " Model: taste ~ Acetic + H2S + Lactic \n", + " Data: cheddar \n", + " AIC BIC logLik\n", + " 214.94 222.4886 -101.47\n", + "\n", + "Correlation Structure: AR(1)\n", + " Formula: ~time \n", + " Parameter estimate(s):\n", + " Phi \n", + "0.2641944 \n", + "\n", + "Coefficients:\n", + " Value Std.Error t-value p-value\n", + "(Intercept) -30.332472 20.273077 -1.496195 0.1466\n", + "Acetic 1.436411 4.876581 0.294553 0.7707\n", + "H2S 4.058880 1.314283 3.088284 0.0047\n", + "Lactic 15.826468 9.235404 1.713674 0.0985\n", + "\n", + " Correlation: \n", + " (Intr) Acetic H2S \n", + "Acetic -0.899 \n", + "H2S 0.424 -0.395 \n", + "Lactic 0.063 -0.416 -0.435\n", + "\n", + "Standardized residuals:\n", + " Min Q1 Med Q3 Max \n", + "-1.64546468 -0.63861716 -0.06641714 0.52255676 2.41323021 \n", + "\n", + "Residual standard error: 10.33276 \n", + "Degrees of freedom: 30 total; 26 residual" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "intervals(mdl6)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "id": "-XVfWL0VxhAk", + "outputId": "aa4db6a0-3353-466d-953b-74dfbfb9a634" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Approximate 95% confidence intervals\n", + "\n", + " Coefficients:\n", + " lower est. upper\n", + "(Intercept) -72.004379 -30.332472 11.339436\n", + "Acetic -8.587544 1.436411 11.460367\n", + "H2S 1.357332 4.058880 6.760427\n", + "Lactic -3.157177 15.826468 34.810113\n", + "\n", + " Correlation structure:\n", + " lower est. upper\n", + "Phi -0.1690759 0.2641944 0.6118917\n", + "\n", + " Residual standard error:\n", + " lower est. upper \n", + " 7.626441 10.332756 13.999433 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.b)**\n", + "The phi values' confidence interval lies b/w 0.26 to 0.611. This does not have 0 in them. Therefore the errors are not collinear." + ], + "metadata": { + "id": "-ftZAwy7JFKk" + } + }, + { + "cell_type": "code", + "source": [ + "#Fit a OLS model with time variable\n", + "mdl7 <- lm(taste ~ . , data = cheddar)\n", + "summary(mdl7)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "SzzWBlchvlqw", + "outputId": "d588df81-7499-4416-89a9-a5cd7f25cdd9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = taste ~ ., data = cheddar)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-22.3523 -4.9735 -0.5089 4.8531 23.1311 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -36.6127 17.9845 -2.036 0.05250 . \n", + "Acetic 4.1275 4.2556 0.970 0.34139 \n", + "H2S 3.5387 1.1315 3.127 0.00444 **\n", + "Lactic 17.9527 7.7875 2.305 0.02973 * \n", + "time -0.5459 0.2043 -2.672 0.01306 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 9.112 on 25 degrees of freedom\n", + "Multiple R-squared: 0.7291,\tAdjusted R-squared: 0.6858 \n", + "F-statistic: 16.83 on 4 and 25 DF, p-value: 8.205e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.c)** In the new model for OLS the \"time\" predictor is not significant as the p value <α (5%)." + ], + "metadata": { + "id": "1cB4Jwl8vvM7" + } + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.d)**\n", + "In the OLS we take time as a predictor. In the GLS model we take the Variance of error as Σ and the variations in errors with time is recorded in Σ matrix.\n", + "The variation of error in OLS is taken as σ^2 I." + ], + "metadata": { + "id": "95Nb8b45P0Tv" + } + } + ] +} \ No newline at end of file From da0089a4db6f5eaf8e7449571d21e8455614eff9 Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 4 Nov 2022 16:57:45 -0400 Subject: [PATCH 08/11] Created using Colaboratory --- STATS_500_Hw_6_002.ipynb | 718 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 718 insertions(+) create mode 100644 STATS_500_Hw_6_002.ipynb diff --git a/STATS_500_Hw_6_002.ipynb b/STATS_500_Hw_6_002.ipynb new file mode 100644 index 00000000..b839a932 --- /dev/null +++ b/STATS_500_Hw_6_002.ipynb @@ -0,0 +1,718 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyORoLPgkHX0l56ngm6tPyyX", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 6\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "1255246e-52e9-4a76-e525-efc59a55de60" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "Warning message in install.packages(\"faraway\"):\n", + "“installation of package ‘faraway’ had non-zero exit status”\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(sat)" + ], + "metadata": { + "id": "VSMz5dydB2iP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#plot(sat)" + ], + "metadata": { + "id": "h5ZcVDWOO5yv" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Ordinary Least Square Method\n", + "mdl1 <- lm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "JJ-ES-ExPAV8", + "outputId": "7406235b-e5b7-475c-d078-2d8d69954e86" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-90.531 -20.855 -1.746 15.979 66.571 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 1045.9715 52.8698 19.784 < 2e-16 ***\n", + "takers -2.9045 0.2313 -12.559 2.61e-16 ***\n", + "ratio -3.6242 3.2154 -1.127 0.266 \n", + "salary 1.6379 2.3872 0.686 0.496 \n", + "expend 4.4626 10.5465 0.423 0.674 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 32.7 on 45 degrees of freedom\n", + "Multiple R-squared: 0.8246,\tAdjusted R-squared: 0.809 \n", + "F-statistic: 52.88 on 4 and 45 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.a)**\n", + "Here β0 and β1 are significant." + ], + "metadata": { + "id": "slYoKHbWSzX7" + } + }, + { + "cell_type": "code", + "source": [ + "library(MASS)" + ], + "metadata": { + "id": "SwB1ws9vPcq1" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Least Absolute Deviations Method\n", + "mdl3 <- rq(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 225 + }, + "id": "PtltbFfPQFI4", + "outputId": "08d39014-2c3b-422c-9715-1c5d7e4095a9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call: rq(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "\n", + "tau: [1] 0.5\n", + "\n", + "Coefficients:\n", + " coefficients lower bd upper bd \n", + "(Intercept) 1090.89886 920.17149 1151.85075\n", + "takers -3.13961 -3.38485 -2.66479\n", + "ratio -7.26632 -10.73796 1.62341\n", + "salary 3.18313 -0.15788 5.41909\n", + "expend -0.79753 -8.88001 20.92522" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.b)**\n", + "For the Least Absolute Deviation model the coeffiecients for \"ratio\", \"salary\" and \"expend\" have 0 in their confidence interval. It states that the significance of these coefficients is low and hence β0 and β1 are significant. " + ], + "metadata": { + "id": "2QBlRMFfudZp" + } + }, + { + "cell_type": "code", + "source": [ + "install.packages(\"quantreg\")\n", + "library(quantreg)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "emYnpmxQPy8l", + "outputId": "9b9bb7fd-9436-49e0-941a-7d614d45aff8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Huber's Method\n", + "mdl2 <- rlm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", + "summary(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 277 + }, + "id": "1tnmajILPfYJ", + "outputId": "519298db-2f59-42d6-b042-a36a1f8e0c8c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call: rlm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-92.510 -17.701 -1.002 15.015 77.058 \n", + "\n", + "Coefficients:\n", + " Value Std. Error t value \n", + "(Intercept) 1060.2074 49.8845 21.2533\n", + "takers -2.9778 0.2182 -13.6470\n", + "ratio -5.1254 3.0339 -1.6894\n", + "salary 2.0933 2.2525 0.9293\n", + "expend 3.9158 9.9510 0.3935\n", + "\n", + "Residual standard error: 25.58 on 45 degrees of freedom" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "2 * pt(-(abs(21.2533)), 45)\n", + "2 * pt(-(abs(-13.6470)), 45)\n", + "2 * pt(-(abs(-1.6894)), 45)\n", + "2 * pt(-(abs(0.9293)), 45)\n", + "2 * pt(-(abs(0.3935)), 45)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "id": "8vOdb9WYrLuC", + "outputId": "b926eb74-daef-4906-fef7-39f512989977" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "4.24361389959165e-25" + ], + "text/markdown": "4.24361389959165e-25", + "text/latex": "4.24361389959165e-25", + "text/plain": [ + "[1] 4.243614e-25" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "1.32907452144191e-17" + ], + "text/markdown": "1.32907452144191e-17", + "text/latex": "1.32907452144191e-17", + "text/plain": [ + "[1] 1.329075e-17" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.098060880287284" + ], + "text/markdown": "0.098060880287284", + "text/latex": "0.098060880287284", + "text/plain": [ + "[1] 0.09806088" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.357692034447825" + ], + "text/markdown": "0.357692034447825", + "text/latex": "0.357692034447825", + "text/plain": [ + "[1] 0.357692" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/html": [ + "0.695808503448403" + ], + "text/markdown": "0.695808503448403", + "text/latex": "0.695808503448403", + "text/plain": [ + "[1] 0.6958085" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.c)** The p-values for β0 and β1 are < α (5%). Therefore they are significant." + ], + "metadata": { + "id": "ove6dAXzskVW" + } + }, + { + "cell_type": "markdown", + "source": [ + "_____________________\n", + "**Problem 2**" + ], + "metadata": { + "id": "dX9TyTecm_S4" + } + }, + { + "cell_type": "code", + "source": [ + "data(cheddar)" + ], + "metadata": { + "id": "eJQ3vxy-nDi6" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl5 <- lm(taste ~ . , data = cheddar)\n", + "summary(mdl5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "NbFUVOVsnJ9W", + "outputId": "2e1207d3-a207-4c27-899a-44ca8a66bb70" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = taste ~ ., data = cheddar)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-17.390 -6.612 -1.009 4.908 25.449 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -28.8768 19.7354 -1.463 0.15540 \n", + "Acetic 0.3277 4.4598 0.073 0.94198 \n", + "H2S 3.9118 1.2484 3.133 0.00425 **\n", + "Lactic 19.6705 8.6291 2.280 0.03108 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 10.13 on 26 degrees of freedom\n", + "Multiple R-squared: 0.6518,\tAdjusted R-squared: 0.6116 \n", + "F-statistic: 16.22 on 3 and 26 DF, p-value: 3.81e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "a <- seq(1,30)\n", + "cheddar$time <- a\n", + "#summary(cheddar)" + ], + "metadata": { + "id": "3gDqsWRfo7bq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "yrcJ1poQbzZq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Ploting errors vs time\n", + "plot(cheddar$time, (mdl5$residuals), col = \"purple\" )\n", + "abline(0,0)\n", + "abline(lm((mdl5$residuals)~cheddar$time),col = \"blue\", lwd = 3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "BFCWmOqNtpra", + "outputId": "4f58fa51-81db-40d9-ed88-6e6c53371d88" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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Ae7YgEAUAB2xbYVt0zRndte8+WEiv7z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+6KOPkpKSlC4EgPoxxw4ArqwFCxY02SoPAK4QnuZOEv0AAAC/SURBVNgBAACoBE/s\nAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAA\nVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJg\nBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAA\noBIEOwAAAJUg2AEAAKjE/w+AwgjgpgjwbwAAAABJRU5ErkJggg==" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.a)**\n", + "\n", + "The plot shows that the errors vary according to time. Hence we may consider time as a parameter for the model." + ], + "metadata": { + "id": "3rfk6kTcqlMN" + } + }, + { + "cell_type": "code", + "source": [ + "#Fit a GLS model \n", + "library(nlme)\n", + "mdl6 <- gls(taste ~ Acetic + H2S + Lactic, correlation = corAR1(form = ~time) , data = cheddar)\n", + "summary(mdl6)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 555 + }, + "id": "Mgc65PmDwCN1", + "outputId": "c505537e-bfd7-4f25-ee45-615e2ef2d73c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Generalized least squares fit by REML\n", + " Model: taste ~ Acetic + H2S + Lactic \n", + " Data: cheddar \n", + " AIC BIC logLik\n", + " 214.94 222.4886 -101.47\n", + "\n", + "Correlation Structure: AR(1)\n", + " Formula: ~time \n", + " Parameter estimate(s):\n", + " Phi \n", + "0.2641944 \n", + "\n", + "Coefficients:\n", + " Value Std.Error t-value p-value\n", + "(Intercept) -30.332472 20.273077 -1.496195 0.1466\n", + "Acetic 1.436411 4.876581 0.294553 0.7707\n", + "H2S 4.058880 1.314283 3.088284 0.0047\n", + "Lactic 15.826468 9.235404 1.713674 0.0985\n", + "\n", + " Correlation: \n", + " (Intr) Acetic H2S \n", + "Acetic -0.899 \n", + "H2S 0.424 -0.395 \n", + "Lactic 0.063 -0.416 -0.435\n", + "\n", + "Standardized residuals:\n", + " Min Q1 Med Q3 Max \n", + "-1.64546468 -0.63861716 -0.06641714 0.52255676 2.41323021 \n", + "\n", + "Residual standard error: 10.33276 \n", + "Degrees of freedom: 30 total; 26 residual" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "intervals(mdl6)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "id": "-XVfWL0VxhAk", + "outputId": "aa4db6a0-3353-466d-953b-74dfbfb9a634" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Approximate 95% confidence intervals\n", + "\n", + " Coefficients:\n", + " lower est. upper\n", + "(Intercept) -72.004379 -30.332472 11.339436\n", + "Acetic -8.587544 1.436411 11.460367\n", + "H2S 1.357332 4.058880 6.760427\n", + "Lactic -3.157177 15.826468 34.810113\n", + "\n", + " Correlation structure:\n", + " lower est. upper\n", + "Phi -0.1690759 0.2641944 0.6118917\n", + "\n", + " Residual standard error:\n", + " lower est. upper \n", + " 7.626441 10.332756 13.999433 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.b)**\n", + "The phi values' confidence interval lies b/w 0.26 to 0.611. This does not have 0 in them. Therefore the errors are not collinear." + ], + "metadata": { + "id": "-ftZAwy7JFKk" + } + }, + { + "cell_type": "code", + "source": [ + "#Fit a OLS model with time variable\n", + "mdl7 <- lm(taste ~ . , data = cheddar)\n", + "summary(mdl7)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "SzzWBlchvlqw", + "outputId": "d588df81-7499-4416-89a9-a5cd7f25cdd9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = taste ~ ., data = cheddar)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-22.3523 -4.9735 -0.5089 4.8531 23.1311 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -36.6127 17.9845 -2.036 0.05250 . \n", + "Acetic 4.1275 4.2556 0.970 0.34139 \n", + "H2S 3.5387 1.1315 3.127 0.00444 **\n", + "Lactic 17.9527 7.7875 2.305 0.02973 * \n", + "time -0.5459 0.2043 -2.672 0.01306 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 9.112 on 25 degrees of freedom\n", + "Multiple R-squared: 0.7291,\tAdjusted R-squared: 0.6858 \n", + "F-statistic: 16.83 on 4 and 25 DF, p-value: 8.205e-07\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.c)** In the new model for OLS the \"time\" predictor is not significant as the p value <α (5%)." + ], + "metadata": { + "id": "1cB4Jwl8vvM7" + } + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2.d)**\n", + "In the OLS we take time as a predictor. In the GLS model we take the Variance of error as Σ and the variations in errors with time is recorded in Σ matrix.\n", + "The variation of error in OLS is taken as σ^2 I." + ], + "metadata": { + "id": "95Nb8b45P0Tv" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "8SkvROnsbwns" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "oj2tQ7E3bwgc" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "34pE9uibbwVa" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 0eefa0487b514dc792874788709dcbe98844dc1b Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 11 Nov 2022 20:35:46 -0500 Subject: [PATCH 09/11] Created using Colaboratory --- STATS_500_Hw_7_002.ipynb | 964 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 964 insertions(+) create mode 100644 STATS_500_Hw_7_002.ipynb diff --git a/STATS_500_Hw_7_002.ipynb b/STATS_500_Hw_7_002.ipynb new file mode 100644 index 00000000..0fbf940f --- /dev/null +++ b/STATS_500_Hw_7_002.ipynb @@ -0,0 +1,964 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wpEPBhVwCCIq" + }, + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 7\n", + "\n", + "**Problem 1**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "d6cd7ffe-a288-4668-e18d-e63e36dc9279" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "VSMz5dydB2iP" + }, + "outputs": [], + "source": [ + "data(aatemp)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2J2ALsg3DL0x", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 329 + }, + "outputId": "24601fc4-52df-4293-ae33-331fc438707d" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ year, data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.9843 -0.9113 -0.0820 0.9946 3.5343 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 24.005510 7.310781 3.284 0.00136 **\n", + "year 0.012237 0.003768 3.247 0.00153 **\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.466 on 113 degrees of freedom\n", + "Multiple R-squared: 0.08536,\tAdjusted R-squared: 0.07727 \n", + "F-statistic: 10.55 on 1 and 113 DF, p-value: 0.001533\n" + ] + }, + "metadata": {} + } + ], + "source": [ + "mdl1 <- lm(temp~year,aatemp)\n", + "summary(mdl1)" + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.a)**\n", + "The linear model is valid as the coefficient for \"year\" is significant" + ], + "metadata": { + "id": "GWvruUGWKXN1" + } + }, + { + "cell_type": "code", + "source": [ + "library(nlme)\n", + "mdl2 <- gls(temp~year, correlation = corAR1(form = ~year) , data = aatemp)\n", + "intervals(mdl2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 260 + }, + "id": "tse5em-sHp9Z", + "outputId": "ea472522-67b2-497c-80f0-74e1f7d40a75" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Approximate 95% confidence intervals\n", + "\n", + " Coefficients:\n", + " lower est. upper\n", + "(Intercept) 7.409192377 25.18407266 42.95895294\n", + "year 0.002474401 0.01164028 0.02080617\n", + "\n", + " Correlation structure:\n", + " lower est. upper\n", + "Phi1 0.02923291 0.2303887 0.4136101\n", + "\n", + " Residual standard error:\n", + " lower est. upper \n", + "1.284094 1.475718 1.695937 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.b)**\n", + "\n", + "The \"correlation\" is significant as the Phi1 value does not have 0 in the confidence interval.\n", + "\n", + "The predictor \"year\" is still significant as it does not have 0 in the confidence interval. Therefore it does not change the existence of linear model." + ], + "metadata": { + "id": "ybTigbF5JjA4" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "H2oqDqweD8je", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 486 + }, + "outputId": "1ba665ec-910f-42be-c58a-5f3159ad98a8" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 10), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.4987 -0.8641 -0.1745 1.1450 3.4255 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1319 361.927 < 2e-16 ***\n", + "poly(year, 10)1 4.7616 1.4146 3.366 0.00107 ** \n", + "poly(year, 10)2 -0.9071 1.4146 -0.641 0.52277 \n", + "poly(year, 10)3 -3.3132 1.4146 -2.342 0.02108 * \n", + "poly(year, 10)4 2.4383 1.4146 1.724 0.08774 . \n", + "poly(year, 10)5 3.3824 1.4146 2.391 0.01860 * \n", + "poly(year, 10)6 1.2124 1.4146 0.857 0.39337 \n", + "poly(year, 10)7 -0.9373 1.4146 -0.663 0.50908 \n", + "poly(year, 10)8 -1.1011 1.4146 -0.778 0.43812 \n", + "poly(year, 10)9 1.3994 1.4146 0.989 0.32483 \n", + "poly(year, 10)10 0.3474 1.4146 0.246 0.80652 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.415 on 104 degrees of freedom\n", + "Multiple R-squared: 0.2165,\tAdjusted R-squared: 0.1411 \n", + "F-statistic: 2.873 on 10 and 104 DF, p-value: 0.003335\n" + ] + }, + "metadata": {} + } + ], + "source": [ + "mdl3 <- lm(temp~poly(year,10), aatemp)\n", + "summary(mdl3)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "g9JuiEHHesch", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 468 + }, + "outputId": "31808b96-87f9-43f1-d515-d955743f51d6" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 9), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.4836 -0.8831 -0.2156 1.1354 3.3936 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1313 363.557 < 2e-16 ***\n", + "poly(year, 9)1 4.7616 1.4083 3.381 0.00101 ** \n", + "poly(year, 9)2 -0.9071 1.4083 -0.644 0.52089 \n", + "poly(year, 9)3 -3.3132 1.4083 -2.353 0.02050 * \n", + "poly(year, 9)4 2.4383 1.4083 1.731 0.08631 . \n", + "poly(year, 9)5 3.3824 1.4083 2.402 0.01807 * \n", + "poly(year, 9)6 1.2124 1.4083 0.861 0.39123 \n", + "poly(year, 9)7 -0.9373 1.4083 -0.666 0.50716 \n", + "poly(year, 9)8 -1.1011 1.4083 -0.782 0.43605 \n", + "poly(year, 9)9 1.3994 1.4083 0.994 0.32265 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.408 on 105 degrees of freedom\n", + "Multiple R-squared: 0.216,\tAdjusted R-squared: 0.1488 \n", + "F-statistic: 3.215 on 9 and 105 DF, p-value: 0.001769\n" + ] + }, + "metadata": {} + } + ], + "source": [ + "mdl3_1 <- lm(temp~poly(year,9), aatemp)\n", + "summary(mdl3_1)" + ] + }, + { + "cell_type": "code", + "source": [ + "mdl3_2 <- lm(temp~poly(year,8), aatemp)\n", + "summary(mdl3_2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "KBLLsv7bLk6u", + "outputId": "a0176940-3a23-4dba-825c-a117b0978d2c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 8), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.6086 -0.8600 -0.2385 1.0608 3.3975 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1313 363.579 < 2e-16 ***\n", + "poly(year, 8)1 4.7616 1.4082 3.381 0.00101 ** \n", + "poly(year, 8)2 -0.9071 1.4082 -0.644 0.52085 \n", + "poly(year, 8)3 -3.3132 1.4082 -2.353 0.02047 * \n", + "poly(year, 8)4 2.4383 1.4082 1.732 0.08626 . \n", + "poly(year, 8)5 3.3824 1.4082 2.402 0.01805 * \n", + "poly(year, 8)6 1.2124 1.4082 0.861 0.39118 \n", + "poly(year, 8)7 -0.9373 1.4082 -0.666 0.50713 \n", + "poly(year, 8)8 -1.1011 1.4082 -0.782 0.43600 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.408 on 106 degrees of freedom\n", + "Multiple R-squared: 0.2086,\tAdjusted R-squared: 0.1489 \n", + "F-statistic: 3.494 on 8 and 106 DF, p-value: 0.001284\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl3_3 <- lm(temp~poly(year,7), aatemp)\n", + "summary(mdl3_3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 434 + }, + "id": "iYVG3U_1LtW7", + "outputId": "48dc1cd9-1d2a-4746-a0aa-0c13ec1802b9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 7), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.5922 -0.9032 -0.2322 0.9880 3.2941 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1311 364.241 < 2e-16 ***\n", + "poly(year, 7)1 4.7616 1.4056 3.388 0.000988 ***\n", + "poly(year, 7)2 -0.9071 1.4056 -0.645 0.520083 \n", + "poly(year, 7)3 -3.3132 1.4056 -2.357 0.020234 * \n", + "poly(year, 7)4 2.4383 1.4056 1.735 0.085672 . \n", + "poly(year, 7)5 3.3824 1.4056 2.406 0.017828 * \n", + "poly(year, 7)6 1.2124 1.4056 0.863 0.390303 \n", + "poly(year, 7)7 -0.9373 1.4056 -0.667 0.506341 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.406 on 107 degrees of freedom\n", + "Multiple R-squared: 0.2041,\tAdjusted R-squared: 0.152 \n", + "F-statistic: 3.919 on 7 and 107 DF, p-value: 0.0007651\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl3_4 <- lm(temp~poly(year,6), aatemp)\n", + "summary(mdl3_4)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "2kuWyGRyL0jF", + "outputId": "34c8b5ce-e9ed-4945-a46b-df5a8aac3f15" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 6), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.6846 -0.8825 -0.1428 0.9388 3.2950 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1307 365.181 < 2e-16 ***\n", + "poly(year, 6)1 4.7616 1.4020 3.396 0.000957 ***\n", + "poly(year, 6)2 -0.9071 1.4020 -0.647 0.518996 \n", + "poly(year, 6)3 -3.3132 1.4020 -2.363 0.019905 * \n", + "poly(year, 6)4 2.4383 1.4020 1.739 0.084851 . \n", + "poly(year, 6)5 3.3824 1.4020 2.413 0.017527 * \n", + "poly(year, 6)6 1.2124 1.4020 0.865 0.389067 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.402 on 108 degrees of freedom\n", + "Multiple R-squared: 0.2008,\tAdjusted R-squared: 0.1564 \n", + "F-statistic: 4.522 on 6 and 108 DF, p-value: 0.0003978\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl3_5 <- lm(temp~poly(year,5), aatemp)\n", + "summary(mdl3_5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "_mAD3AtWL47V", + "outputId": "d047d0b5-bc77-42fa-fca4-952b09ad3b58" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ poly(year, 5), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.7142 -0.9198 -0.1420 0.9903 3.2364 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 47.7426 0.1306 365.604 < 2e-16 ***\n", + "poly(year, 5)1 4.7616 1.4004 3.400 0.000942 ***\n", + "poly(year, 5)2 -0.9071 1.4004 -0.648 0.518500 \n", + "poly(year, 5)3 -3.3132 1.4004 -2.366 0.019749 * \n", + "poly(year, 5)4 2.4383 1.4004 1.741 0.084470 . \n", + "poly(year, 5)5 3.3824 1.4004 2.415 0.017384 * \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.4 on 109 degrees of freedom\n", + "Multiple R-squared: 0.1952,\tAdjusted R-squared: 0.1583 \n", + "F-statistic: 5.289 on 5 and 109 DF, p-value: 0.0002176\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plot(aatemp$temp~aatemp$year)\n", + "points(aatemp$year, mdl3_5$fitted.values, col = \"purple\", pch = 20)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "HXdfGChHao5j", + "outputId": "a9a23091-29d7-443b-d3f8-fb4a70e9864a" + }, + "execution_count": 38, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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pIVTGCwYgcAAD1dRETEzp07b9686erq2jzi7u6+cOHCYcOGLV68uM1jyqE7S0lJ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\nQCUIdgAAACrxHxdoW1X9hAdgAAAAAElFTkSuQmCC" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "plot(aatemp$year, mdl3_5$fitted.values, type=\"l\", ylim=c(43,53))\n", + "points(aatemp$year, aatemp$temp, col = \"purple\", pch = 20)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "aboEw1RyYqdB", + "outputId": "f178e9c3-a388-43be-85e6-7b3579013600" + }, + "execution_count": 35, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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ACQt3xtShQYGDh37tw5c+YkJCSkpqb6+vqS5wAAAFzNE+w2qVAoSpcuTaR7GndO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\ns2dPIdQBADKWctmyY3CGKeNBPkg4bN4+KOP5332yu+68SisbfuR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i4MGDY8aMCQkJiY+Pz90eGBg4dOjQr7/+2mG1AfhHKp2i7ru6uu/q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pqH+eDlKXPnCS8vLw8Pj5iYmKIjI0eO3L59+8OHD4ua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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "variable_year <- data.frame(year = 2020)\n", + "predict(mdl3_5, newdata = variable_year )" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "id": "Br-2bs0yYqRy", + "outputId": "6ae42f45-710d-49aa-cbbe-45701436d894" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "1: 60.0777380272404" + ], + "text/markdown": "**1:** 60.0777380272404", + "text/latex": "\\textbf{1:} 60.0777380272404", + "text/plain": [ + " 1 \n", + "60.07774 " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.c)** A model of polynomial of degree 5 is appropriate for the data.The temperature at 2020 is predicted as 60 °$F$" + ], + "metadata": { + "id": "GQ3PDvzJcnDW" + } + }, + { + "cell_type": "code", + "source": [ + "plot(temp~year, data = aatemp)\n", + "abline(v = 1930, lty = 5)\n", + "lhs <- function(x)ifelse(x<=1930,mean(aatemp$temp),0)\n", + "rhs <- function(x)ifelse(x>1930,x-1930,0)\n", + "mdl4 <- lm(temp~ lhs(year) + rhs(year), data = aatemp)\n", + "x <- seq(1854,2000, by=1)\n", + "py <-mdl4$coef[1] + mdl4$coef[2]*lhs(x) + mdl4$coef[3]*rhs(x)\n", + "lines(x,py,lty = 2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "5JMxFNh9TaSK", + "outputId": "a9bd662d-a5a3-4415-f623-316fef0b1035" + }, + "execution_count": 28, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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HmlSb5Lpp//lirvwah10YcIvfn75Mmr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\nr2D1C4nl08a83Lv/JVMiE5PshBR+b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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "summary(mdl4)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 347 + }, + "id": "KkVMvbIXUmuY", + "outputId": "918a3a01-6113-44c9-831a-5280c9bc981e" + }, + "execution_count": 29, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = temp ~ lhs(year) + rhs(year), data = aatemp)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-3.5867 -0.9456 -0.0979 1.0233 3.9925 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 48.748738 0.343152 142.062 < 2e-16 ***\n", + "lhs(year) -0.036697 0.008291 -4.426 2.24e-05 ***\n", + "rhs(year) -0.012519 0.008248 -1.518 0.132 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 1.381 on 112 degrees of freedom\n", + "Multiple R-squared: 0.1954,\tAdjusted R-squared: 0.181 \n", + "F-statistic: 13.6 on 2 and 112 DF, p-value: 5.167e-06\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.d)** There is a weak negative linear relationship b/w \"year\" and \"temp\" after 1930. The model seems to have some error." + ], + "metadata": { + "id": "eCOIyGtsdmRT" + } + }, + { + "cell_type": "code", + "source": [ + "attach(aatemp)\n", + "knots <- c(1850,1850,1850,1850,1868.75,1906.25,1943.75,1981.25,2000,2000,2000,2000)\n", + "byear <- splineDesign(knots,year)\n", + "mdl5 <- lm(temp~byear-1)\n", + "matplot(year,byear,type = \"l\", col = 1)\n", + "matplot(year, cbind(temp,mdl5$fit), type = \"pl\", ylab = \"year\", pch = 20, lty = 1, col = 1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "VUfMHWBrX9yF", + "outputId": "6d72f5eb-d216-4a54-c590-f15cd013d078" + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "The following objects are masked from aatemp (pos = 3):\n", + "\n", + " temp, year\n", + "\n", + "\n", + "The following objects are masked from aatemp (pos = 4):\n", + "\n", + " temp, year\n", + "\n", + "\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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2x9SJFKxK/wF7az6maU6f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pkJfQfpsKIezS3h+YtK0nWP2XJfjPjU6jocKV84F5ljryl2+3eFp9vZxtVbbHox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\nQ/2ZLgVDzH0v3oe5yldDGc9Qda9SVisoBEeQhLNdXSNtd1hNbZS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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 1.e)** From the plot it is seen that the cubic spline fit is not better than linear fit." + ], + "metadata": { + "id": "7xtY6tcNeAW6" + } + }, + { + "cell_type": "markdown", + "source": [ + "____________________________________\n", + "Problem 2" + ], + "metadata": { + "id": "eW0VKr1vEyf-" + } + }, + { + "cell_type": "code", + "source": [ + "data(ozone)" + ], + "metadata": { + "id": "SVgzcplaEt_K" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mdl10 <- lm(O3~temp + humidity + ibh ,ozone)\n", + "summary(mdl10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "9tlq1KahE2Hb", + "outputId": "79d075d3-fbce-4820-cd81-2c9e2d7db3c9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = O3 ~ temp + humidity + ibh, data = ozone)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-11.5291 -3.0137 -0.2249 2.8239 13.9303 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -1.049e+01 1.616e+00 -6.492 3.16e-10 ***\n", + "temp 3.296e-01 2.109e-02 15.626 < 2e-16 ***\n", + "humidity 7.738e-02 1.339e-02 5.777 1.77e-08 ***\n", + "ibh -1.004e-03 1.639e-04 -6.130 2.54e-09 ***\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 4.524 on 326 degrees of freedom\n", + "Multiple R-squared: 0.684,\tAdjusted R-squared: 0.6811 \n", + "F-statistic: 235.2 on 3 and 326 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "library(MASS)\n", + "## Box-Cox method for Savings data\n", + "boxcox(mdl10, plotit=T, lambda=seq(0.1,0.4,by=0.05))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "ng1nr0EIFcbG", + "outputId": "3870b9b4-85f4-4fd2-9935-96452e096d89" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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47oKYSAIMmu+NYG20TPQS5/j5fw/ucI\nkuzGZEpz+Q8JyoaApxPfFT2FahAkyT2Wskb0FMrJUDYETKrxkegpVIUgye15/0LRUzhLirLB\nUjKizmbRc6gCQZLaG/5XRE+hIinKBktRP2kKmFIIkszWJP1F9BQkdbrLBYdEz6ESBEliW2rd\nJXoKlchSNliOdbhEqu8RBElee7P7yXWyszRlg2V/q2vzRc+hAgRJWscv6iTZXU2kKRsCdjS6\nXaK3JyFIsirocc4B0XOoSpqyIeCrzMmip3AWgiSpkmF1vxc9B9ktk+i0OwRJUo+lrhc9hWpk\nKhsC5iRIc4F9BElO8+MXi55CdVKVDQGPpn8megqlECQpbagxU/QUQpCrbLCUDG60S/QcghAk\nGe1qMEz0FEKSq2ywFHRvI8dtZhEkCR2/sJvoK295xtFfd5Xic4Ugyaeo13ly/CtblXRlg2VX\ngxGip2BBkORzf+3vRE8hNPnKBsuGGs+InoKBIEno5YSVoqcQhnxlQ8C//e+IngKCJJ9VCS+J\nnkJY8pUNAZPTxb/mRJAks7OurJdAlFdJ/+bCz6ZCkORyqmM3wbecsCFl2WA5dWkn0Rd0RpCk\nUjKg+UHRcwhPzrLBsrfpzYLPBEeQpDIt9UvRU7Ahadlg2ZT6pNgJIEgyWR7/hugp2JK0bLAs\n9C8Vun0ESSLf1XxE9BS866FaQt92giDJ4/ivehSJnoMtacsGS3Gv80XeaQBBkkZJn/OkuOdE\nePKWDZYjrfsKLBwQJGk8kbZF9BQikLhssGxOf0zcxhEkWazyzxM9hYgkLhss7/gXCNs2giSJ\nvY1wRoNrj6V9I2rTCJIcCjrlSPG2GltSlw2Wkr7nibpFKIIkh3vr/yR6CpHJXTZYTlzQR1Dh\ngCBJ4Q3/e6Kn4IDkZYPl23RBV0tHkGTwbYbgE1wckrxssLwe/76Q7SJIEjh+vqgXJAq6p+Fe\nEZtFkCRwayvJfxNbSvqywZJ/+ZUiahsESbw5SZtET8EZ+csGy75G4wRsFUES7psaz4megkMe\nKBssq0Tc9RxBEu1km5tET8ExD5QNlmnp33LfJoIk2pAWR0RPQTUlvdpyv7OUsCDl7rR5UqMg\nvZ7wsegpOOaJssGSmz2S9yb5BunL67OvmBV8z81Eu1H0CdL36TJc3dAhb5QNlnUJvM8A5hqk\nj5JIjQRyVeB6vAiS5XT7Xh76DZJHygbLtLStfDfINUi9Et4uOfNMwiUnDQQp6M5mh0VPIRoe\nKRtMxde153uBLq5Banqb9XFl4vVFCFLAwviPRE9BVb9k3c11e1yDlPCHwB+vkjEIkuWnOgLf\n0hkDz5QNlg/i5/PcHNcgNbkx+OfD5CkEyXz50TVH7oudVOWdssHypzSev03iGqQxvucCp0GV\nDCb33YsgTcvcKXoK0fFQ2WAqvvbifH5b4xqkQ83INYEHJWMI0T5IGxO5vvagwTtlg+VAwwf5\nbYzv75EOjrqv9NHCc3QP0snzBoueguqW+Vdw2xZOERJlSMtjoqcQLU+VDZaxDfbz2pSIIOWv\nX7XDfgkNgvRmvHdODSrjrbLBdKb9dbx+3801SI+vsj7OrmUeIHX83G5B9YP0Y80/iZ5C9LxV\nNli2cHuLCtcgkYnmh6Ukqd/IHJK53WZB5YNUfPWV3mq+g7xVNlheSOb0cpR/kFpnWlfmXegb\narOg8kF6OnWb6Clo4pY2fN5RwT1Iv5BJgcd9s2wWVD1IW1JeFj2FWHiubDAdyR7FZTvcg7Sb\nBE9wfzTBZkHFg1TQobfoKcTEc2WD5X0+dyDjHqSizGmBx8Nq2yyoeJAeqbtP9BRi4r2ywfJQ\nPR4dON8gDdyw7eDDrfLMh1tTq/2jfDK33DNKB+ljgTdNcMd7ZYOp4OI+HLbCN0hBbxrG/NS4\n9VWe3O4nFYi6FjoHeecOET0FvWxO+Qf7jXAN0tyZU8YO7ttlpWHMylpS7dkvN5abpPJPpLua\n5IqeQoy8WDZYnklj35EKOkXoRLHt0yofIy3zrxY9hVh5smwwrPersP+tnYggFX21drf9EgoH\n6UiWiOuA0uHNssG0u+Z01pvgG6S1o80P8xqYx0Dt1tgtp3CQhpzH/ZJr9HiybLDMT9jAeAtc\ng7Q6Ma3EWEDS+o/qHpe00WZBdYP0n7gPRU9BSwNYn+DANUhd6psHfS2yrdturEux+52kskE6\nkjVe9BRc8GrZYMpl/Yqaa5AyJhjGUfJs4PGImjYLKhskT7+w82zZYFnhZ3sDMq5BSp1sGGd8\nCwOPpybbLKhqkDz+ws6zZYNlRAum31Ncg5TTOs8wOk2wHp5p185mQUWDdLTpBNFTcMezZYPp\n5Dn3sByea5CWkA7LCzc1eiWvYF1X8oLNgooGydsv7LxuZdxyhqPzrb/npJKUNtnE7ye+cXbv\nAVYzSB5/YefpssEyqjnDE884/0J2/4we2elJdTqOsb/Zo5JBOurpxs7i5bLBdKIlw5u94CpC\n3Nx5rtdf2Hm6bDCt8bN7cYcg8fJ+3ErRU3DNy2WDZWwWs/OFRQRpRk6kJRQM0qnWd4meAuSd\nO4zV0CKCNDLiAAoGaWLWUdFTcM3jZYNprf9dRiMjSHx8kbBI9BTc83jZYLmvGaPmDkHiorDD\nANFToMDrZYMp75zRbAZGkLh4og63i1Cz5PWywbTKb/sGnpiJCNKRPZGWUC1I36W8KnoKUOoO\nNr+FQP3NQUnXrh66d3l43i8bTMeaTGQxLILEwey0naKnQIUCZYNpcbzde0pjhSCxtzdzpugp\n0KFA2WAZ2LaA/qAIEns3ty0UPQVKFCgbTIfq/5H+oAgSc//1s77wBkTntaRvqI+JILGW12KM\n6CnQokTZYOndyf66ijFAkFib2Mj75waVUqNsMO1Of572kAgSY18nLBQ9BWoUKRtM/5fxE+UR\nESS2inOuEz0FitQoG0zFl/+O8ogIEluza0S4gTsI8RXtk4gRJKb21/qL6ClQpEzZYHqwMd1D\nVwSJKSa/+xNGmbLBdOocumUqgsTSCv+noqdAkzplg2k53a8NgsRQ/vmKvb1cmbLBctuFNF8t\nIEgMPVHnoOgpQFiH6tG8aRKCxM6PqS+LngJdKpUNprk0G1UEiZ2+l1A/EUUslcoGU8nVPekN\nhiAxs9z/megpUKZU2WDanPAWtbEQJFbOnKvMyarllCobTBObUvs+Q5BYeazBEdFTgAjyWlC7\nzw6CxMiuGvNET4E6xcoG03/jv6A0EoLEyA1XKHG9k0oUKxssN+ZQ+jIhSGwsSvha9BToU61s\nMO2i9SsKBImJ0y0Z30RbDNXKBtP0uoeojIMgMfHHBsq8LVZxhW2HUxkHQWJhd+o/RE+BBfXK\nBtOauOgTEAKCxMKA3yh2TkOQgmWDadBFRRRGQZAY+DBunegpMKFg2WDaX3MWhVEQJPqK2jG7\nL5xgCpYNpmdq/eJ+EASJvr+l7xU9BYhCYdsR7gdBkKg7XPdp0VNgRMmywaDzUhxBou7uC1S6\nTkNFapYNpgEdXZdDCBJtX8cvEz0FVtQsG0z7Mua4HQJBoq1zH9EzYEfNssH0ZN3DLkdAkChb\nkLRd9BQgavnnj3I7AoJEVX4rJjdWlIOqZYNpRdx6dwMgSHRNr39M9BTYUbZsMP3W5fspECSq\n9me8IHoKDClbNph2pcx3tT6CRNUdv1LlLpchKVs2mP6QddLN6ggSTV/43xM9BYjRqezJblZH\nkGjqrnD1bShdNpjmJ+90sbbHgrRrWOOEZuOOm4/mkqDHzRcc12Q2fiD4q+l+vxZ5VsHbCd8J\n3Dp7KpcN5j8Tnfu7WNtbQdpR19f/jz3JZWZaZpKBEy2rDOOS7sc+Tw0c5L8ZJ/LuD/nnKvn+\n8rNULhtMn/lXx76yt4I0gFincowlswxjCtlQ+pc7yH8M46arzUdHGt7PfGo2/lLb7a/HZady\n2WAa7qIq8laQMhpbZf+RlMusNG0r/ctV5GvDGN/cfDS8havixaXDtf8mcOvg3oHM2TGv66kg\nnSSdA3+2TSwyBpODRXsCd01ZRT4zjNHZ5gOf0M7snjZKV9+G6mWDaUa9mK+O66kgFce3Cfx5\nGdlj9CWP1CLk3PmGsY0sMoxeVxqnWg05dWfzlvcL+nb+LuE/YjbMj9plg2Ed5d4X86peCpJx\npc/6N/HbBLLV6EJaTnv14Qxi/jBuc82xdUkzjQcaHB5fZ9nidJq3j4pCv6vFbJcjxcsG05KE\nLTGu6a0grSLN3/72jZbnkB3Gyjet46HNSbXzjQ3NfL7+BZv8C4yGkw1j1PnMpxfKh3GbhGyX\nK8XLBtO1vWJc0VtBMp6rQUjazFtJ+UvZfsQ6a3fvSaPwoj5GLjFf6T3nE/GrpJJOtwvYKtC2\nOX55bCt6LEjG8fc/OG50aFT+/yPJquCDaZk/G7vJW4bxMhFxO5U3kncJ2CpnypcNpjtjrIw8\nFqTApfx+9A0yTjz/WuAvriDBlxvfJ79oGIetn0h/9eUzn181+a0e4r9R7pQvGwyrAn8xpvW8\nFaQHE8wXcsU3kU+M4qy0reZfLCIXBZ4o6dLF+g1Tg4mGMfQ85tOr7um6OlzrW/2ywfREbO8o\n81aQvqxRc+zUi8kD5sN3fKnDJ/fzZQQP8V9MCfx6dnz9D95Ne4r59KrJrfNX/hsVQP2ywTBO\nN58Uy2reCpLxSY/ayR2CF6j/+Lqa8Y0HBU9v2Jv5ZODPU0PqNryPxpWcozSupYCXk8DGazEd\n7nosSHLambRQ9BS40KFsMPcy5/cxrIUgUTCwk3q3uQxFh7LB9HEsF15FkNzbSOcOO/LTomww\n3RLDP4wIknvX9BM9A150KBtMu2u8EfU6CJJr7/k3i54C0DWxRdQ/emUN0p+PG6ee+YsXPsw4\n7w4ZpsFlV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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Based on the graph of log-likelihood $λ$ above, the maximum likelihood is at $\\lambda \\approx 0.28$. To easily interpret, we will set $\\lambda$ at $0.25$." + ], + "metadata": { + "id": "Kvpgb5HdRQZh" + } + }, + { + "cell_type": "code", + "source": [ + "mdl11 <- lm(O3^(1/4)~temp + humidity + ibh ,ozone)\n", + "summary(mdl11)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "Qpz4VGE5RrCF", + "outputId": "78e454e7-0946-40cd-d778-115c16bfb0b5" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = O3^(1/4) ~ temp + humidity + ibh, data = ozone)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.5433 -0.1084 0.0091 0.1247 0.4933 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 9.137e-01 6.184e-02 14.774 < 2e-16 ***\n", + "temp 1.307e-02 8.070e-04 16.192 < 2e-16 ***\n", + "humidity 2.977e-03 5.124e-04 5.810 1.48e-08 ***\n", + "ibh -4.849e-05 6.269e-06 -7.734 1.31e-13 ***\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.1731 on 326 degrees of freedom\n", + "Multiple R-squared: 0.7152,\tAdjusted R-squared: 0.7126 \n", + "F-statistic: 272.9 on 3 and 326 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Ans 2**\n", + "\n", + "As we can see the summary above, the p-values from all predictors are extremely low, meaning that the model fits very well." + ], + "metadata": { + "id": "JL0Lr7o6R5aQ" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "CiH0woVieWSu" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "r6uxijaDeWJo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "BpVqfIkXeV_g" + }, + "execution_count": null, + "outputs": [] + } + ], + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyNtEnwfRWLtmu5bBDz+tWIp", + "include_colab_link": true + }, + "kernelspec": { + "display_name": "R", + "name": "ir" + }, + "language_info": { + "name": "R" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file From a8f0e26841e4900555e5328561a478069af0ed5f Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Fri, 18 Nov 2022 20:17:59 -0500 Subject: [PATCH 10/11] Created using Colaboratory --- STATS_500_Hw_8_001.ipynb | 877 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 877 insertions(+) create mode 100644 STATS_500_Hw_8_001.ipynb diff --git a/STATS_500_Hw_8_001.ipynb b/STATS_500_Hw_8_001.ipynb new file mode 100644 index 00000000..1ac27db1 --- /dev/null +++ b/STATS_500_Hw_8_001.ipynb @@ -0,0 +1,877 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyNYOmqYFfZYzvMF+i1VZg4L", + "include_colab_link": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## **Prathamesh Joshi**\n", + "STATS 500-Hw 8\n", + "\n", + "**Problem 1**" + ], + "metadata": { + "id": "wpEPBhVwCCIq" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_1134O2xBYzq", + "outputId": "648f08a2-0253-46bf-a19e-995d18013a61" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n", + "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", + "\n", + "\n" + ] + } + ], + "source": [ + "install.packages(\"faraway\")\n", + "library(faraway)" + ] + }, + { + "cell_type": "code", + "source": [ + "data(prostate)" + ], + "metadata": { + "id": "UBmPWt4XessI" + }, + "execution_count": 31, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "attach(prostate)" + ], + "metadata": { + "id": "g9JuiEHHesch", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "81a78122-dfc6-43c4-82ce-d26e22399b65" + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "The following objects are masked from prostate (pos = 4):\n", + "\n", + " age, gleason, lbph, lcavol, lcp, lpsa, lweight, pgg45, svi\n", + "\n", + "\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Backward Elimination\n", + "mdl1_1 <- lm (lpsa ~ ., data = prostate)\n", + "summary(mdl1_1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "8qwkPuMKYaZZ", + "outputId": "0c01c4ed-1e65-41c0-99a4-8d31357f6298" + }, + "execution_count": 33, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ ., data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.7331 -0.3713 -0.0170 0.4141 1.6381 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.669337 1.296387 0.516 0.60693 \n", + "lcavol 0.587022 0.087920 6.677 2.11e-09 ***\n", + "lweight 0.454467 0.170012 2.673 0.00896 ** \n", + "age -0.019637 0.011173 -1.758 0.08229 . \n", + "lbph 0.107054 0.058449 1.832 0.07040 . \n", + "svi 0.766157 0.244309 3.136 0.00233 ** \n", + "lcp -0.105474 0.091013 -1.159 0.24964 \n", + "gleason 0.045142 0.157465 0.287 0.77503 \n", + "pgg45 0.004525 0.004421 1.024 0.30886 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7084 on 88 degrees of freedom\n", + "Multiple R-squared: 0.6548,\tAdjusted R-squared: 0.6234 \n", + "F-statistic: 20.86 on 8 and 88 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_2 <- lm (lpsa ~ .-gleason, data = prostate)\n", + "summary(mdl1_2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 434 + }, + "id": "hXcinL6wZerf", + "outputId": "5e9e2da9-df9a-4445-f387-67b9c7e09988" + }, + "execution_count": 34, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.73117 -0.38137 -0.01728 0.43364 1.63513 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 0.953926 0.829439 1.150 0.25319 \n", + "lcavol 0.591615 0.086001 6.879 8.07e-10 ***\n", + "lweight 0.448292 0.167771 2.672 0.00897 ** \n", + "age -0.019336 0.011066 -1.747 0.08402 . \n", + "lbph 0.107671 0.058108 1.853 0.06720 . \n", + "svi 0.757734 0.241282 3.140 0.00229 ** \n", + "lcp -0.104482 0.090478 -1.155 0.25127 \n", + "pgg45 0.005318 0.003433 1.549 0.12488 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7048 on 89 degrees of freedom\n", + "Multiple R-squared: 0.6544,\tAdjusted R-squared: 0.6273 \n", + "F-statistic: 24.08 on 7 and 89 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_3 <- lm (lpsa ~ .-gleason-1, data = prostate)\n", + "summary(mdl1_3)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "d6-ubWkDaTi2", + "outputId": "5452e24a-dcb6-4efe-a615-443d23d56bfd" + }, + "execution_count": 35, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason - 1, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.74075 -0.34414 -0.02778 0.44634 1.66824 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "lcavol 0.583447 0.085861 6.795 1.14e-09 ***\n", + "lweight 0.561360 0.136191 4.122 8.35e-05 ***\n", + "age -0.010697 0.008140 -1.314 0.1921 \n", + "lbph 0.075592 0.051067 1.480 0.1423 \n", + "svi 0.744926 0.241456 3.085 0.0027 ** \n", + "lcp -0.107324 0.090606 -1.185 0.2393 \n", + "pgg45 0.005259 0.003438 1.530 0.1296 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.706 on 90 degrees of freedom\n", + "Multiple R-squared: 0.938,\tAdjusted R-squared: 0.9332 \n", + "F-statistic: 194.6 on 7 and 90 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_4 <- lm (lpsa ~ .-gleason-lcp-1, data = prostate)\n", + "summary(mdl1_4)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 399 + }, + "id": "8n46kO0tZuYe", + "outputId": "9b125aee-b00f-437e-c659-280235cfcee3" + }, + "execution_count": 36, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason - lcp - 1, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.78824 -0.38775 -0.01852 0.46156 1.54830 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "lcavol 0.536090 0.076153 7.040 3.54e-10 ***\n", + "lweight 0.565737 0.136442 4.146 7.57e-05 ***\n", + "age -0.008535 0.007950 -1.074 0.28588 \n", + "lbph 0.072718 0.051122 1.422 0.15832 \n", + "svi 0.625252 0.219788 2.845 0.00549 ** \n", + "pgg45 0.003417 0.003073 1.112 0.26911 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7076 on 91 degrees of freedom\n", + "Multiple R-squared: 0.937,\tAdjusted R-squared: 0.9329 \n", + "F-statistic: 225.8 on 6 and 91 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_5 <- lm (lpsa ~ .-gleason-lcp-age-1, data = prostate)\n", + "summary(mdl1_5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 381 + }, + "id": "enNecrPlZ2R7", + "outputId": "3531728d-2bb3-48a3-b33b-c33665bbb4d2" + }, + "execution_count": 37, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason - lcp - age - 1, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.7849 -0.3659 0.0221 0.4889 1.5907 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "lcavol 0.532963 0.076161 6.998 4.12e-10 ***\n", + "lweight 0.423267 0.031706 13.350 < 2e-16 ***\n", + "lbph 0.080258 0.050679 1.584 0.11670 \n", + "svi 0.650832 0.218673 2.976 0.00373 ** \n", + "pgg45 0.002580 0.002975 0.867 0.38805 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7082 on 92 degrees of freedom\n", + "Multiple R-squared: 0.9363,\tAdjusted R-squared: 0.9328 \n", + "F-statistic: 270.2 on 5 and 92 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_6 <- lm (lpsa ~ .-gleason-lcp-pgg45-age-1, data = prostate)\n", + "summary(mdl1_6)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "qTka4zS7Z8Zp", + "outputId": "49735864-4770-449b-daec-707fa34a2ac1" + }, + "execution_count": 38, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason - lcp - pgg45 - age - 1, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.83071 -0.40081 0.03327 0.46199 1.49225 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "lcavol 0.54938 0.07367 7.457 4.55e-11 ***\n", + "lweight 0.43062 0.03051 14.113 < 2e-16 ***\n", + "lbph 0.08419 0.05041 1.670 0.098258 . \n", + "svi 0.70784 0.20828 3.398 0.000999 ***\n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7072 on 93 degrees of freedom\n", + "Multiple R-squared: 0.9357,\tAdjusted R-squared: 0.933 \n", + "F-statistic: 338.5 on 4 and 93 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl1_7 <- lm (lpsa ~ .-gleason-lcp-pgg45-age-lbph-1, data = prostate)\n", + "summary(mdl1_7)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "U9Wwj2oIaEeU", + "outputId": "70f367d9-ea56-4b90-d005-01a9bf417a4c" + }, + "execution_count": 39, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ . - gleason - lcp - pgg45 - age - lbph - \n", + " 1, data = prostate)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1.70579 -0.48587 -0.01677 0.45844 1.57123 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "lcavol 0.55246 0.07435 7.431 4.9e-11 ***\n", + "lweight 0.43604 0.03063 14.237 < 2e-16 ***\n", + "svi 0.66823 0.20889 3.199 0.00188 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.7139 on 94 degrees of freedom\n", + "Multiple R-squared: 0.9338,\tAdjusted R-squared: 0.9317 \n", + "F-statistic: 442 on 3 and 94 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "#AIC\n", + "mdl2_1 <- lm (lpsa ~ ., data = prostate)\n", + "step(mdl2_1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "dNifpjUcbQXu", + "outputId": "bd96418d-b431-468f-dba4-0a1f5777f501" + }, + "execution_count": 40, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Start: AIC=-58.32\n", + "lpsa ~ lcavol + lweight + age + lbph + svi + lcp + gleason + \n", + " pgg45\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- gleason 1 0.0412 44.204 -60.231\n", + "- pgg45 1 0.5258 44.689 -59.174\n", + "- lcp 1 0.6740 44.837 -58.853\n", + " 44.163 -58.322\n", + "- age 1 1.5503 45.713 -56.975\n", + "- lbph 1 1.6835 45.847 -56.693\n", + "- lweight 1 3.5861 47.749 -52.749\n", + "- svi 1 4.9355 49.099 -50.046\n", + "- lcavol 1 22.3721 66.535 -20.567\n", + "\n", + "Step: AIC=-60.23\n", + "lpsa ~ lcavol + lweight + age + lbph + svi + lcp + pgg45\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- lcp 1 0.6623 44.867 -60.789\n", + " 44.204 -60.231\n", + "- pgg45 1 1.1920 45.396 -59.650\n", + "- age 1 1.5166 45.721 -58.959\n", + "- lbph 1 1.7053 45.910 -58.560\n", + "- lweight 1 3.5462 47.750 -54.746\n", + "- svi 1 4.8984 49.103 -52.037\n", + "- lcavol 1 23.5039 67.708 -20.872\n", + "\n", + "Step: AIC=-60.79\n", + "lpsa ~ lcavol + lweight + age + lbph + svi + pgg45\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- pgg45 1 0.6590 45.526 -61.374\n", + " 44.867 -60.789\n", + "- age 1 1.2649 46.131 -60.092\n", + "- lbph 1 1.6465 46.513 -59.293\n", + "- lweight 1 3.5647 48.431 -55.373\n", + "- svi 1 4.2503 49.117 -54.009\n", + "- lcavol 1 25.4189 70.285 -19.248\n", + "\n", + "Step: AIC=-61.37\n", + "lpsa ~ lcavol + lweight + age + lbph + svi\n", + "\n", + " Df Sum of Sq RSS AIC\n", + " 45.526 -61.374\n", + "- age 1 0.9592 46.485 -61.352\n", + "- lbph 1 1.8568 47.382 -59.497\n", + "- lweight 1 3.2251 48.751 -56.735\n", + "- svi 1 5.9517 51.477 -51.456\n", + "- lcavol 1 28.7665 74.292 -15.871\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = lpsa ~ lcavol + lweight + age + lbph + svi, data = prostate)\n", + "\n", + "Coefficients:\n", + "(Intercept) lcavol lweight age lbph svi \n", + " 0.95100 0.56561 0.42369 -0.01489 0.11184 0.72095 \n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Adjusted R^2\n", + "install.packages(\"leaps\")\n", + "library(leaps)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wJnJW4BVcAHY", + "outputId": "0726fda6-9b99-481c-bd89-b74052ad2b86" + }, + "execution_count": 41, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Installing package into ‘/usr/local/lib/R/site-library’\n", + "(as ‘lib’ is unspecified)\n", + "\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "mdl3_1 <- regsubsets(lpsa ~ ., data= prostate)\n", + "rs<- summary(mdl3_1)\n", + "rs" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "aQxx_OqgcJnw", + "outputId": "576140a9-256f-4c75-c719-6fdd0a42ab07" + }, + "execution_count": 42, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Subset selection object\n", + "Call: regsubsets.formula(lpsa ~ ., data = prostate)\n", + "8 Variables (and intercept)\n", + " Forced in Forced out\n", + "lcavol FALSE FALSE\n", + "lweight FALSE FALSE\n", + "age FALSE FALSE\n", + "lbph FALSE FALSE\n", + "svi FALSE FALSE\n", + "lcp FALSE FALSE\n", + "gleason FALSE FALSE\n", + "pgg45 FALSE FALSE\n", + "1 subsets of each size up to 8\n", + "Selection Algorithm: exhaustive\n", + " lcavol lweight age lbph svi lcp gleason pgg45\n", + "1 ( 1 ) \"*\" \" \" \" \" \" \" \" \" \" \" \" \" \" \" \n", + "2 ( 1 ) \"*\" \"*\" \" \" \" \" \" \" \" \" \" \" \" \" \n", + "3 ( 1 ) \"*\" \"*\" \" \" \" \" \"*\" \" \" \" \" \" \" \n", + "4 ( 1 ) \"*\" \"*\" \" \" \"*\" \"*\" \" \" \" \" \" \" \n", + "5 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \" \" \" \" \n", + "6 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \" \" \"*\" \n", + "7 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \"*\" \n", + "8 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plot(2:9, rs$Adjusted, xlab = \"No of Parameters\", ylab = \"Adjusted R-squared\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "KXBQHyyucoy-", + "outputId": "af6afc0f-698d-46ae-e953-d0e41b26ce6a" + }, + "execution_count": 43, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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oPd05lZfXbVJKSSWq/HdqbXKqnpBIA/Ag0p847o5llz3V5C+qqwbrnaZsue115t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\nBwe8Z/J5yxVWAAAAAElFTkSuQmCC" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Mallows\n", + "plot(2:9, rs$cp, xlab = \"No of Parameters\", ylab = \"Cp\")\n", + "abline(0,1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "tzif5JKbQCz8", + "outputId": "671823bd-6bd5-4482-aea8-0b900ce76aa8" + }, + "execution_count": 44, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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jg+6DrV3wMjJAgp6vW8ZdHl8/kf+Xtg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\n3/TWGU3+q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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "____________________________\n", + "Problem 2" + ], + "metadata": { + "id": "wLIVgu5nQ1In" + } + }, + { + "cell_type": "code", + "source": [ + "data(trees)" + ], + "metadata": { + "id": "Fpzgrs-DQ5p_" + }, + "execution_count": 45, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#Using AIC\n", + "mdl4 = lm(log(Volume) ~polym(Girth, Height, degree = 2), data = trees)\n", + "rs2 <-summary(mdl4)" + ], + "metadata": { + "id": "JpeyIR2ja5JF" + }, + "execution_count": 54, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "rs2" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 416 + }, + "id": "6DgJV0JcbYU7", + "outputId": "b3701530-f860-4c31-a4a9-7fb350670c70" + }, + "execution_count": 47, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(Volume) ~ polym(Girth, Height, degree = 2), \n", + " data = trees)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.159718 -0.041905 -0.003371 0.055167 0.133780 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) 3.27472 0.02370 138.163 < 2e-16 ***\n", + "polym(Girth, Height, degree = 2)1.0 2.51882 0.11972 21.039 < 2e-16 ***\n", + "polym(Girth, Height, degree = 2)2.0 -0.24312 0.18449 -1.318 0.200 \n", + "polym(Girth, Height, degree = 2)0.1 0.54249 0.11339 4.784 6.52e-05 ***\n", + "polym(Girth, Height, degree = 2)1.1 -0.11845 1.08511 -0.109 0.914 \n", + "polym(Girth, Height, degree = 2)0.2 -0.05025 0.10402 -0.483 0.633 \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.08469 on 25 degrees of freedom\n", + "Multiple R-squared: 0.9784,\tAdjusted R-squared: 0.9741 \n", + "F-statistic: 226.7 on 5 and 25 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plot(2:6, rs2$cp, xlab = \"No. Parameters\", ylab = \"Cp\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437 + }, + "id": "nljPzGgkbdea", + "outputId": "8065f034-cf82-43d8-85a3-4eb7c3d7afe7" + }, + "execution_count": 48, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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+ }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Using Mallow\n", + "mdl5 <- lm(log(Volume) ~ Girth + Height + I(Girth^2), data = trees)\n", + "summary(mdl5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 364 + }, + "id": "rHspAxKvbyuc", + "outputId": "749c242a-c383-4cd9-ae77-9fdaab7e677a" + }, + "execution_count": 49, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\n", + "Call:\n", + "lm(formula = log(Volume) ~ Girth + Height + I(Girth^2), data = trees)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-0.174348 -0.043284 -0.000147 0.059198 0.138282 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -0.783931 0.315182 -2.487 0.01935 * \n", + "Girth 0.285333 0.040960 6.966 1.74e-07 ***\n", + "Height 0.015701 0.002759 5.690 4.80e-06 ***\n", + "I(Girth^2) -0.004954 0.001435 -3.451 0.00185 ** \n", + "---\n", + "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", + "\n", + "Residual standard error: 0.08208 on 27 degrees of freedom\n", + "Multiple R-squared: 0.9781,\tAdjusted R-squared: 0.9757 \n", + "F-statistic: 402.1 on 3 and 27 DF, p-value: < 2.2e-16\n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "xUBn7gzab9A3" + }, + "execution_count": 50, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "DyRkFLBLb84O" + }, + "execution_count": 51, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "DoIoHC5Ob8ne" + }, + "execution_count": 52, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "4lSXrgJsbxbS" + }, + "execution_count": 53, + "outputs": [] + } + ] +} \ No newline at end of file From 34222ebba776ee6e5e3e44f767e938bb0f4d746c Mon Sep 17 00:00:00 2001 From: Prathamesh Joshi Date: Tue, 20 Dec 2022 22:02:52 -0500 Subject: [PATCH 11/11] stats 500 files moved --- STATS_500_Hw_4_001.ipynb | 625 ------------------------- STATS_500_Hw_4_002.ipynb | 634 ------------------------- STATS_500_Hw_4_004.ipynb | 653 -------------------------- STATS_500_Hw_4_005.ipynb | 698 ---------------------------- STATS_500_Hw_6_001.ipynb | 682 --------------------------- STATS_500_Hw_6_002.ipynb | 718 ----------------------------- STATS_500_Hw_7_002.ipynb | 964 --------------------------------------- STATS_500_Hw_8_001.ipynb | 877 ----------------------------------- Stats_500_hw_5_001.ipynb | 746 ------------------------------ Stats_500_hw_5_003.ipynb | 789 -------------------------------- 10 files changed, 7386 deletions(-) delete mode 100644 STATS_500_Hw_4_001.ipynb delete mode 100644 STATS_500_Hw_4_002.ipynb delete mode 100644 STATS_500_Hw_4_004.ipynb delete mode 100644 STATS_500_Hw_4_005.ipynb delete mode 100644 STATS_500_Hw_6_001.ipynb delete mode 100644 STATS_500_Hw_6_002.ipynb delete mode 100644 STATS_500_Hw_7_002.ipynb delete mode 100644 STATS_500_Hw_8_001.ipynb delete mode 100644 Stats_500_hw_5_001.ipynb delete mode 100644 Stats_500_hw_5_003.ipynb diff --git a/STATS_500_Hw_4_001.ipynb b/STATS_500_Hw_4_001.ipynb deleted file mode 100644 index ccfb8331..00000000 --- a/STATS_500_Hw_4_001.ipynb +++ /dev/null @@ -1,625 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyMRu1sIN1DKGotUtvcXGjRo", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 4\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(teengamb)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1_residuals <- residuals(mdl1)\n", - "mdl2_residuals <- residuals(mdl2)\n", - "mdl1_fitted <- fitted.values(mdl1)\n", - "mdl2_fitted <- fitted.values(mdl2)" - ], - "metadata": { - "id": "x_hGzyjMEvJP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 2))\n", - "plot(mdl1)\n", - "plot(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 857 - }, - "id": "NoUDr3imxTKH", - "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “”" - ], - "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH\nt2xp/btoyycMAJ1HRkZmz549VH0TfX19qtHPz+/69evOzs6enp7a2tpZWVlHjhyRkJDo2Mvq\n2zU8fhM/P39UVNTkyZPPnTsXFxdnbW2trq5eW1v7+PHjW7duCQkJ/fXXX62vyemoToDD2FVX\nBTpYK1XWqqqqVFVV+fj4Hj58SLXk5eW5ubmpqqoKCAhIS0tPmzaNuYnBYBQXF69YsUJTU1NM\nTExKSkpfXz8wMLCiooLaylqqjcFgXLx4cfDgwdRdExYsWFBaWqqqqjpkyBBmb6dPnx44cKCo\nqKiiouLixYvLysp69+49ZswYamtBQcHs2bMVFBSkpKQmTJhw9+5dBoPh5+cnISGhpKSUl5fH\nWqip9cC+JyEhgfq3nZaWxtre3t7aW8euvr7e3t5eVFRURkYmPDz8my0//C7a8gkDwK9jrWPX\nzPjx4wkhzDp2DAbj48ePv/32W69evQQEBHr27Onk5MQ6vFAl6969e8faScvGLVu2EEKoQY9y\n/PhxQkhoaCj1tF3D4/fU1dXt3bvXyMhIUlKSGgl1dHS8vLwyMjLa/uF0SCfAKTQG1mUDAADw\nHEdHx/Dw8ISEhEmTJnG2E2AnrLEDAADgQS4uLoSQbdu2NTU1cbYTYCecsQMAAOBNVlZWsbGx\nxsbGdnZ2oqKizOW87O8E2AaJHQAAAG+qqqpavXp1WFhYVVXViBEj2lU/pWM7AbZBYgcAAADA\nI7DGDgAAAIBHILEDAAAA4BFI7AAAAAB4RHe888SwYcOa3Y4TANhg8uTJoaGhnI6iG8FYB8AR\nnB3rumNi9/btWx8fnxEjRnA6EIBuJDw8/OnTp5yOonvBWAfAfhwf67pjYkcIMTAwMDMz43QU\nAN3I06dPkdixH8Y6ADbj+FiHNXYAAAAAPILrztgVFRXdvn07PT3969evhBAZGRldXV0zM7Me\nPXpwOjQAAAAArsZFiV1jY6O3t3dwcHBjY6OwsLCEhAQhpLy8vKGhQVRU1NfXd+PGjTQajdNh\nAgAAAHApLkrsNmzYcObMmX379tna2qqqqlKNdDr9w4cPly5d2r59u5CQkI+PD2eDBAAAAOBa\nXJTYhYSE7N6929XVlbWRj49PS0tr/fr1YmJiQUFBSOwAAAAAvoeLLp4oKirS1tb+3lYDA4Pc\n3Fx2xgMAAADQtXBRYqehoZGQkPC9rXFxcf3792dnPAAAAABdCxdNxa5evXrJkiWZmZm2trZa\nWlqSkpIMBqO8vPzdu3cRERGXL1++cOECp2MEAAAA4F5clNi5urqKiIhs27atZQI3ePDgyMhI\nW1tbjgQGAAAA0CVwUWJHCHF2dnZ2ds7MzHzz5s3Xr19pNJq0tLSOjk6fPn04HRoAAAAAt+Ou\nxI4QUlRUlJKSwlqguKqqSkZGBgWKAQAAAFrHRYkdChQDAAAA/AouSuxQoBgAAADgV3BRYteB\nBYqPHz/+/v37722tqalBSTwAAADgPVyU2HVggeLXr1+/ePHie1ubmprS0tLaHR8AAAAAd+Oi\nxI4qUDx27Nhvbm1XgeJ9+/a1spWPj09aWrrd8QEAAABwNy6688Tq1asDAwPnzJkTHh7+9OnT\n9+/fZ2RkPHnyJCwsbMaMGbt27dqwYQOnYwToePHx8QYGBjIyMoMHD25285W3b9+KioqeO3eO\nU7EBAPAwnhx+ueiMHQoUQzeUn5/v4OBw6dIlS0vLCxcuODo6FhQUCAkJEUIYDIarq6uSkhLr\n/gUFBfv373/8+DE/P7+xsfGKFStw+hkA4Ce0d/glhNy4cSMxMbGiokJXV3fOnDni4uKcCPwH\nuOiMHSHE2dn57du3Hz58iI2NvXjxYlhYWHx8fHZ2dmpqKrI64EkMBuP48eOWlpaEkBkzZlRU\nVOTl5VGb/vjjjz59+gwbNoy58507d7S1tePj4w0NDfX19S9duqStrf3kyRPOhA4A0JW1a/it\nrKy0traeOnXqw4cPc3Jy/Pz8dHR0kpKSOBN6q7jojB2ThoaGhoZGs8bc3NyoqKhly5ZxJCSA\nTtKrVy8nJyfqcXx8vJqamoqKCiEkJydn7969ycnJS5cupbbW1dU5OzvPmTMnKCiIj4+PELJt\n2zYXFxdnZ+eXL1+ixCMAQLu0ffglhKxatert27cvXrzo168fIaS2ttbLy2v69Onv3r2TlJTk\nSPzfw11n7Frx7t275cuXczoKgM7y7NkzDw+Ps2fP8vPzE0Lc3Ny2bdsmLy/P3OHevXuFhYU7\nduygsjpCiKCg4O7du1+/fv3s2TPOBA0A0PX9cPitqak5d+7c7t27qayOECIiIhIUFMRgMKKj\nozkT9Pd1mcQOgIfFxcXZ2dmdP39+zJgxhJDQ0FA6nT5r1izWfXJycpSUlJrdW6937949evTI\nyclha7gAALyijcNvTU2NoaEha6OwsLC+vv7bt2/ZGm4bcNFU7Ny5c1vZ+uXLF7ZFAsBON27c\ncHd3j42N1dHRoVouX7787NkzdXV1QkhhYWFiYuKHDx+GDx9eWFhYW1srIiLCfG1xcXFlZaWi\noiJHIgcA6NLaOPwuXryYEFJSUqKsrMz68uLiYm6bhyVcldhdvnxZQkLie3+iqqqq2BwPABuU\nl5cvWLAgJiaGOawQQiIiIpiPHRwcbG1t586dW1VVJSoqumvXrs2bNzO3+vn5qaqqsq7wBQCA\ntmj78EsI0dPTO3r0aHBwMHPr/fv3nz9//tdff7Ez5rbgosRu165dO3fu/OeffxQUFFpuvXPn\nzvjx49kfFUCnunr1am5urpGREbMlKiqKukqrGXFx8ePHjzs5OT148MDGxqaxsTE8PDwlJSUm\nJoZaFwIAAG3X9uGXEHLgwAELC4vi4uKFCxdKSUn9888/O3bscHV1NTAwYFe8bcVFid3y5csT\nEhLmzp0bGxvLXB4OwNvmzp3b+iIE1p+PdnZ2qamp27dvDwoKourYnT17Vk1NrfPDBADgNe0a\nfsePH//w4cO1a9fa2NjU1dVpamru3bt3wYIFnR9mu3FRYkcIOXXqVERERF5eXrNpbEKIjIzM\nxIkTORIVAPfQ1tYOCQnhdBQAAN2OgYFBQkJCU1NTfX29qKgop8P5Lu5K7OTl5VnLxrDS19e/\nefMmm+MBAAAAYOLn5+fmrI6g3AkAAAAAz0BiBwAAAMAjkNgBAHCFiRMnZmZmcjoKAOjauGuN\nHQAAz8vIyPhme2JiYnp6elNTEyFES0uLvUEBAI9AYgcAQOLj4w0MDBQVFRsbG/fu3fv8+fOJ\nEycuXLiwM47FvN1kS1ZWVtQDBoPRGYcGAJ6HxA4Aurvjx48vXbr0wYMHioqKW7Zs2blz57Bh\nw6Kioqqrq5cvX97hh7OwsLh169aSJUtmzpzJ2j5u3LhTp05paGh0+BEBoPtAYgcA3d3BgwcP\nHjxoZGTU2NgYHBzs7++/fv36U6dO7d+/vzMSu9jY2LNnz65cufLt27fHjh2j7kpJGTJkyKBB\ng9re1aJFi549e/a9rVVVVc+ePbO2tv6VaAGga0FiBwDd3fv37y0sLAghDx8+LCsrc3FxIYSM\nGTOmM7I6yrx58yZPnuzh4TFo0KDt27d7enr+3O12Jk2a1MrE7uPHjysqKn4hTADoepDYAUB3\nJyoqWlNTQwiJi4sbPHhw7969CSF1dXUCAp04QioqKkZERFy+fNnDwyM0NPTnbiXebDK3GV9f\nXxERkZ8NEAC6JJQ7AYDubujQoQEBAZGRkUePHrW3t6caw8LCBgwY0NmHtre3T0tL09HRGT58\nOJ1O7+zDAQDPwxk7AOjuAgMDLS0tw8LC9PT0vLy8CCHh4eEBAQHh4eFsOLqsrOyZM2dmzZoV\nFhYmIyPDhiMCAA9DYgcA3Z2RkVFeXl5ubq66ujqNRiOEDB8+/P79+yNGjGBbDBYWFtQ6PwCA\nX4HEDgCACAkJsdYZUVdXZ71YFQCgq0BiBwDd1LJly364z+HDh9kQCQBAR0FiBwDd1PXr13+4\nDxI7AOhakNgBQDeVlZXVytb6+vpXr16xKxYAgI6BcicAAN/w5s0bU1NTTkcBANA+OGMHAN1d\nRUWFj49PfHx8cXEx1cJgMCoqKlq5qQMAAHfCGTsA6O58fX2jo6MtLCzq6+udnJysrKwIIfPn\nz7916xanQwMAaB8kdgDQ3V25ciUkJOTIkSNiYmIbN268cOHC+/fvX758mZaWxunQAADaB4kd\nAHR3+fn5mpqahBB+fv76+npCiLy8/OHDh9evX8/p0AAA2geJHQB0dzIyMu/fvyeEyMvLP3/+\nnGpUVlbGGTsA6HJw8QQAdHfTpk2bO3duUlKSmZmZl5cXg8GQl5c/cuRInz59OB0aAED7ILED\ngO5u9+7dpaWlAgICPj4+CQkJ9vb2hBAJCYnz589zOjQAgPZBYgcA3Z2MjMzly5epxy9fvkxJ\nSamrq9PT05ORkeFsYAAA7YXEDgC6u6KiItanWlpahJCmpqa8vLxevXpxKCgAgJ+BxA4AujsF\nBYXvbWIwGOyMBADgFyGxA4Du7tSpU6xPq6urHz9+fPv27d9//51TIQEA/BwkdgDQ3bm4uLRs\njIiIiI2NnTlzJtvDAQD4eahjBwDwDXZ2drGxsZyOAgCgfZDYAQB8Q25ublVVFaejAABoH0zF\nAkB3t3r16mYtpaWlcXFxo0eP5kg8AAA/DYkdAHR3p0+fZn1Ko9GkpaXHjx+PiycAoMtBYgcA\n3V2zOnYAAF0XEjsA6KZycnJa36GhoUFDQ4M9wQAAdAgkdgDQTamqqv5wHxQoBoCuBYkdAHRT\noaGh1IOKigp/f38TExNTU1MJCYnS0tLExMTHjx/v2rWLsxECALQXEjsA6KacnJyoB/Pnz1+3\nbp2Hhwdz07Jly/z9/WNjYx0cHDgUHQDAz0AdOwDo7q5cuTJlypRmjba2tpGRkRyJBwDgpyGx\nA4DurqGhIT09vVnju3fv6uvrORIPAMBPw1QsAHR3lpaWzs7OHh4exsbG4uLiVVVVycnJQUFB\nkyZN4nRoAADtg8QOALq7Y8eOLVq0aNu2bXQ6nWqh0Wjm5ubHjh3jbGAAAO3FdYldUVHR7du3\n09PTv379SgiRkZHR1dU1MzPr0aMHp0MDAN4kJycXFRVVXFz8+vXriooKcXFxHR2dnj17cjou\nAIB246LErrGx0dvbOzg4uLGxUVhYWEJCghBSXl7e0NAgKirq6+u7ceNGGo3G6TABgDfJycmN\nGTOG01EAAPwSLkrsNmzYcObMmX379tna2jILh9Lp9A8fPly6dGn79u1CQkI+Pj6cDRIAeMaK\nFSscHR1HjRq1YsWK7+1z4MABdoYEAPCLuCixCwkJ2b17t6urK2sjHx+flpbW+vXrxcTEgoKC\nkNgBQEeJiIgwNDQcNWpURETE9/ZBYgcAXQsXJXZFRUXa2trf22pgYJCbm8vOeACAtzHvFfvD\nm8YCAHQVXFTHTkNDIyEh4Xtb4+Li+vfvz854AKD7iI+P//LlCyGksbFx586ds2fPPnnyJKeD\nAgBoNy46Y7d69eolS5ZkZmba2tpqaWlJSkoyGIzy8vJ3795FRERcvnz5woULnI4RAHjQ8ePH\nly5d+uDBA0VFxS1btuzcuXPYsGFRUVHV1dXLly/ndHQAAO3ARYmdq6uriIjItm3bWiZwgwcP\njoyMtLW15UhgAMDbDh48ePDgQSMjo8bGxuDgYH9///Xr1586dWr//v1I7ACga+GixI4Q4uzs\n7OzsnJmZ+ebNm69fv9JoNGlpaR0dnT59+rSrnxMnTmRkZHxvK4PBqKmp+eVgAYBHvH//3sLC\nghDy8OHDsrIyFxcXQsiYMWOQ1QFAl8NdiR1FQ0NDQ0ODEFJeXn7hwoWkpCRtbW17e3thYeE2\n9vDy5ctXr161skNdXV0HBAq/LDIycv369V++fNHQ0Ni3b9+4ceMIIV++fFmwYMG9e/dkZWV3\n7tzp6OjI6TCBx4mKilI/9uLi4gYPHty7d29CSF1dnYAAN46QAACt+MGwFR8fb2BgoKio2NjY\nuHfv3ufPn0+cOHHhwoWdEYq6uvrFixdHjBhBPc3Kyho3blx2djb1dNu2bYmJiW2sBd96hQI+\nPj5paelfjBbarqSk5OrVqx8+fFBRUZk8ebKamhrVnpmZ+dtvv924ccPIyOjMmQGhGvoAACAA\nSURBVDP29vZfvnwREBCYP3/+0KFDo6OjHz9+7OXlZWdnJygoyNm3ALxt6NChAQEBjo6OR48e\nZZ6lCwsLGzBgAGcDAwBor9auij1+/LiVlRWVWm3ZsmXDhg3v379ftmzZoUOHOiOU7Ozs2tpa\n5lOqZN2DBw+qq6vj4+PLyso2bNjQGceFTnXp0qX+/ftv3LgxKSlp165dAwYM2LNnD7VJUFDw\nwoULRkZGhBBHR8eSkpLCwsJPnz4lJydv2bJFUFBwxIgRDx8+RFYHnS0wMPDGjRv29vbKyspe\nXl6EkPDw8ICAgNWrV3M6NACA9mktsWu5oPjhw4fBwcHHjx9nQ2R379719/cfMWKEqKioubm5\nn5/f33//zYbjQgd6/vz5nDlzVq9enZWVdevWrYyMjJMnT27YsCEyMpIQoqKiMmXKFEJIbW3t\n3r17jYyMlJSUnj9/rqWltW7dOg0NDUNDwxs3bnD6TQDvMzIyysvL+/Dhw7Nnz6jT+cOHD79/\n/769vT2nQwMAaJ/WErvvLSj+8OEDGyKrrKzU0dFhPh08eHBRUREbjgsd6NixY+PGjVu3bh1z\nrdKsWbNcXV0PHz7M3GfPnj1iYmLnz5//66+/aDRaWVlZamrqqFGjPnz44Ofn5+DgUFhYyKHw\noRsREhJqamoKCws7cOBAcXGxuro66/gDANBVtJbYcXZBsb6+PuuVrenp6VQA0IWkp6ePHj26\nWaOJicnr16+ZT1evXl1bW7t9+3ZTU9Pc3FwZGZlevXrNmDGDRqNNmTJFS0vrwYMH7I0aup3q\n6mpHR8d+/frNmjVr5cqVhYWF79+/19bWfvv2LadDAwBon9YSO2pBcWRk5NGjR5lTEp26oHjT\npk1z5851c3Nbs2aNpKQkczFWUlLS5s2bJ0+e3EnHhU4iKipaXl7erPHr16+ioqKEkNTU1NjY\nWEKIkJAQtbzpwYMHmpqaX79+bWpqonam0+m4MhE6m6+vb1JS0pkzZz5+/Ehdfa+iomJiYrJp\n0yZOhwYA0D6tJXZsXlDs5OQkKSmZnZ19//79iIiI5OTk/Px8atO+ffukpaW3bt3aGceFzjN+\n/PiIiIjKykpmS1NT09mzZydMmEAIKSoqcnZ2Tk1NJYQkJSVlZGQMGjRIR0dnwIAB+/btYzAY\nCQkJmZmZzAulATrJpUuXjh8/Pm/ePFVVVapFWFjY19cXSzwBoMtpLbFj84Li0NDQmJiYu3fv\nPn/+PDMzs7i4+PPnz9Sm3bt3P336VElJqTOOC51n6dKlYmJiY8aMuXr1alZW1j///GNhYfHm\nzRvqRMiECRP8/PymT58uLS3t4uISHBxMrWoKDw+/evWqjIyMt7d3eHi4rKwsp98H8LiysrJB\ngwY1a5SSkmL9TQIAHBcZGamjoyMjIzN06NA7d+5QjV++fJkyZYqUlJSGhsalS5c4GiBXaC2x\nI4QICQlpaGjQaDTqqbq6OkdOn/Tt2xfzcV2RhITEvXv3jIyMHB0dNTQ0zM3NxcTEkpOTmaXs\nPDw8MjIyysrK3r17N3/+fKpRRUXl7t27ZWVlL168mDRpEufCh+5CQ0Pj+vXrzRpv3bpFVUoH\nAG5AlT49e/ZsaWmpl5eXvb19Y2MjIWT+/Pn6+vpFRUWhoaF79+5taGhgvoROp3/48OHu3bvM\nCcDu4BvZ0rJly374MtarGgFaIS8v/+effwYHB+fm5vbq1UtISIjTEQE05+zs7Onp+fLlSwsL\nCzqd/u+//164cGHv3r1+fn6cDg0A/kez0qcuLi6FhYWNjY3JyclXrlxhlj5l7n/37l13d/eX\nL19ST62trQ8dOqSurs6R4NnpG4ldy1+uLSGxg3YREBBgnqUD4DY+Pj6VlZX79+8/evQoIWTJ\nkiViYmIrV6709vbuvIMWFhYWFxf369ePn5+ftT0vLy8mJmbRokWdd2iArkhFRUVFRYX8/6VP\nY2JiqNKn0dHRcnJyO3bsoOZ5Hj16ZGZmtmDBgmvXrqmoqKSmpnp7e5uamqampkpJSXH6rXSu\nb0zFZrXq7du3UVFR7A8UAKCT8PHxBQQEFBUV3b9/PzY2Njk5ubCwcPv27cxVKB2ruLh48uTJ\nPXv2HDBgQJ8+fUJDQ1m3vnnzxtXVtTOOC8AD2lj6dNu2bba2tkePHlVXVxcQEBg6dGhsbCwf\nH9+xY8c4/Q463Q/W2LX05s0bU1PTzggFAIAj7t69+/XrVzExsZEjR1pYWBgbG4uJiXXe4TZu\n3Pjo0aM9e/ZERkZOnjx59uzZ27dv77zDAfCSNpY+TU5Obnahp4iIyNSpU7tDYdTWEruKigp3\nd3dNTU3p/yUlJaWvr9+rVy+2xQcA0NnMzc1Zi2Z3tpiYmN9//93b29vOzu6vv/66ePHi1q1b\nqVlgAPiedpU+bWxsbLmkW0hIiPXSCl7VWmLn6+sbHR1tYWFRX1/v5ORkZWVFCJk/f/6tW7fY\nFR4AQKdzdHQ8deoUg8Fgz+GKi4tZy7zPnDnz6NGjy5cvv3btWnu7cnFxMfw+BoNRXFzcobED\ncEy7Sp/q6+snJCSwvpxOp9+4cWPIkCGciZ6NWqshcuXKlZCQkIkTJ4aFhW3cuFFFRaWoqMjS\n0jItLY1awAgAwAPU1NSioqLU1dWNjIyaLaw+ceJEhx9OU1MzISFh7NixzBZXV9ePHz/OnDnz\n8uXL1H1Z2sja2rqVWwE9fvxYQkLil2IF4BrM0qdFRUUKCgqspU9nzZoVEBCgqqrKLH26du1a\nGxubfv36LV++XEBAoLS01NvbOzs7e+nSpZx+H52utcQuPz9fU1OTEMLPz19fX08IkZeXP3z4\nsIeHh7m5OZsCBADoZKdPnxYSEhIVFX3x4gUbDufu7u7u7p6bm7tr1y4FBQWqcdu2bXx8fFOn\nTm3XImYHB4dWtvr6+lJ3SAPgDR4eHh4eHs0aqdKnzRqtrKxOnjy5atWqzZs39+rVKysrq1+/\nfnFxccrKyuwKlmNaS+xkZGTev3+vrq4uLy///Pnzvn37EkKUlZXT0tLYFR4AQKf7+PEjOw+3\nZMmSkpKSvXv3btq0iZnYEUL8/PyGDBmyatUqdgYDwKvmzZtHXS2Rm5vbr1+/0aNHCwoKcjoo\ndmgtsZs2bdrcuXOTkpLMzMy8vLwYDIa8vPyRI0f69OnDtvgAAHgMjUZbv379unXrWpZTsbW1\ntbS0fPfuHUcCA+AxMjIy1OUB3Uprid3u3btLS0sFBAR8fHwSEhKoK4clJCTOnz/PrvAAAHgT\nH9+3r10TFhZueeNaAIA2+sFU7OXLl6nHL1++TElJqaur09PTk5GRYUtsAAAAANAOrSV2RUVF\nrE+1tLQIIU1NTXl5ed25lN2dO3du3rxZWlqqo6Mzd+5cpLkAAADAJVqrY6fwHb1792ZbfFyl\ntrZ2xowZ5ubmycnJxcXF+/fv79+/P1UvEQAAAIDjWjtjd+rUKdan1dXVjx8/vn379u+//97J\nUXGpzZs3P3z48OnTp7q6uoSQxsbGjRs3zpw5882bN935FCZAF5WTk9P6Dg0NDRoaGuwJBgC6\nrqampqysLFVV1Za3u2C/1hI7FxeXlo0RERGxsbEzZ87srIi4FZ1O/+uvv/bs2UNldYQQAQGB\nwMDAy5cvX7x4ceXKlZwNDwDaS1VV9Yf7sO12FADQRTU1NR04cKC2ttbFxYUb6uS1lth9k52d\nnaenZ2eEwuVKS0uLi4sNDQ1ZG/n4+IYOHYraBABdUWhoKPWgoqLC39/fxMTE1NRUQkKitLQ0\nMTHx8ePHu3bt4myEAMCdSktLnzx5oqSkpKury8/P7+DgoKSkxCX1wNud2OXm5lZVVXVGKFxO\nXFycn5+/2QUlhJCioiKqdDMAdC1OTk7Ug/nz569bt461ov2yZcv8/f1jY2Nbv7UDAHRPN27c\nKC0tVVNTo54yH3CD1hK71atXN2spLS2Ni4sbPXp0Z4bEpURERMaOHXv06NFx48YxG1+8eHH3\n7t1NmzZxLi4A+FVXrlzx8/Nr1mhra2tqanry5EmOhAQAXOXLly/x8fG1tbWLFy8mhDg6OnI6\nou9qLbE7ffo061MajSYtLT1+/Phue/HEnj17xo4da2lp6eHhIScnd//+/cDAQHt7e9ZUDwC6\nnIaGhvT0dHV1ddbGd+/eUffIBgCukpiYmJSUVF5erqen5+Dg0HnXKzQ1NX3+/FlFRYVGo9XU\n1MjLyxsYGHTSsTpQO+rYwdChQ588ebJ27drZs2dXVlb27dvXz89v6dKlnI4LAH6JpaWls7Oz\nh4eHsbGxuLh4VVVVcnJyUFDQpEmTOB0aAPyfysrKuXPn/v3330ZGRhISEidOnNi6dWtYWNiQ\nIUM6/FgVFRV//PFHfX29h4eHtLS0urp6s99+XOsbiR1KALSif//+0dHRhJCamhpRUVFOhwMA\nHeDYsWOLFi3atm0bnU6nWmg0mrm5+bFjxzgbGACw8vLySktLS01N1dHRIYSUl5cvWbLExsYm\nPT1dTEzs1/svKSlJTU3V0tJSUVERFxe3sbHp06ePiIjIr/fMTt9I7FACoC2Q1QHwDDk5uaio\nqOLi4tevX1dUVIiLi+vo6PTs2ZPTcQHA/6moqDh//nxkZCSV1RFCJCUlT5w4oaysHBMTM2PG\njF8/xKVLlxgMBnVBJB8fX//+/X+9T/b7RmKHEgAA0A2Vlpbm5OTk5+c7OzvLycmVlZVJS0tz\nOigA+B/Z2dl1dXXGxsasjeLi4np6eunp6T/XZ05Ozp07d8TExKZPn04IWbx4MR9fa3fk6hK+\nkdihBAC0VFFRERAQEBMTk5eXp6WltXjxYhcXFx74DwBACKmurnZxcQkPD6eeWlhYlJWVjRo1\n6u7du130JzsA7xEXFyeElJWVycnJsbaXlpb26NGj7f00NTUVFxdTp+RLSkqkpKSGDx9ObeKN\nP2qtvYcrV65MmTKlWaOtrW1kZGRnhgRc58uXL0OGDImMjFy8ePGff/5pbm6+cuVKBwcHzMgD\nb/D19U1KSjpz5szHjx+pEqMqKiomJiaoZATAPdTV1TU1NY8fP87amJSUlJaWNnHixDZ2UlBQ\nsG/fvpMnTzY0NBBC9PT0pk6dqqSk1PHhck5rV8WiBABQ/Pz8evTokZSURK1OnT59+uzZs4cO\nHRoVFUWdvgbo0i5dunTy5EkrKytmi7CwsK+vL66KBeAeNBrtwIEDdnZ2xcXF8+fP79Gjx82b\nN7dv37548eLBgwe38sKSkpK0tDRdXV0ZGRlJSUkLC4t+/foJCgqyLXI2ay2xQwkAoFy7ds3P\nz4/1miMdHR1bW9urV68isQMeUFZWNmjQoGaNUlJSlZWVHIkHAL7J2tr6zp07q1evHjduXFNT\nk6qq6o4dO1xdXVt5CYPB+PPPPyUlJfv160cIERERaT0L5AGtJXbdsARAfn7+hQsXMjIylJSU\nLCwsjIyMOB0RVyguLu7Vq1ezRmVl5devX3MkHoCOpaGhcf36dXd3d9bGW7duddu6TgBca/To\n0Q8ePKirq6uqqpKVlf3mPllZWUlJScrKyuPGjaPRaKtWreq8IsZcqLXErruVADh//ry7u3uv\nXr0MDAxevnzp7+/v6up65MgR3lhN+SvU1NTS0tIsLS1ZG1+9eoWb5AJvcHZ29vT0fPnypYWF\nBZ1O//fffy9cuLB3796W9xkDAG4gLCxMLYdlotPplZWVkpKShJDs7GwJCYmBAwdSm7pVVkda\nT+wocnJyY8aMYUMonPX69WsXF5edO3euWLGCyuQePHgwZcoUbW3tFStWcDo6DnN2dt6zZ4+1\ntbW2tjbVEhERER8ff//+fc4GBtAhfHx8Kisr9+/ff/ToUULIkiVLxMTEVq5c6e3tzenQAODH\nsrKyIiIiBAQEqL/XpqamnI6Ik76R2K1YscLR0XHUqFGtJDQHDhzozKg44PTp00ZGRqtWrWK2\njBw5cs2aNcePH0dit3r16pSUFH19fVtbWxUVlWfPniUmJv7+++/N6glxoZiYmLNnz3748EFV\nVdXOzm7u3Lk0Go3TQQHX4ePjCwgI2LBhw/Pnz79+/SojIzN48OAOKWQPAJ2kpKTk3bt3+vr6\nIiIi0tLSEyZMGDBgAKeD4grfSOwiIiIMDQ1HjRoVERHxvZfxXmKXkZFhaGjYrHH48OFbtmzh\nSDxcRUhIKCoq6tq1a9evX09PT9fT0ztw4EDLxeZchcFgLFiw4MKFC3PmzHFycsrMzHR3dz93\n7tzVq1ebncAHOHHixLhx47S0tEaOHMlszMvLc3V1vX79OgcDA4Bvqq6uPnLkiJycnI6ODpXY\nDR06lNNBcYvW7hX7w5vG8pIePXoUFxdTj3O9tgn26tnDYmxRYSE1Yd956uvrX758mZOTo6mp\nOWDAAG5ezzd16tSpU6dyOoq2ioiICAsLS05OZt4ces2aNcbGxkFBQWvWrOFsbMBtXF1dpaSk\nQkJCWP+FV1VVxcTEcDAqgO7pzZs3AQEBz58/FxAQMDIy2rhxo7KyMiHk/fv3jx490tXV1dPT\noxZLSEhIcDpYbvSDNCI+Pv7Lly+EkMbGxp07d86ePfvkyZNsCYzdzM3Nr127RuWy8h5zaUKC\nBTv+0Lh022/iNHpVTScd9MaNG7q6usOGDZs7d+6gQYNGjhz5/PnzTjpWd3Pp0qVZs2YxszpC\niJqa2rJly8LCwjgYFXAtKysrW1vbrVu3ouw2AAdFRETo6ekVFha6urrOmTMnNTVVX1//3r17\nhJAXL16IiopSSR4hBFnd97SW2B0/ftzKyio7O5sQsmXLlg0bNrx//37ZsmWHDh1iV3jsM3Pm\nzKFDhxobG//xxx/PSgvuach45KeGf3wzpYfip0Xriw6drc/K7dgjPnr0aMqUKdOmTSspKSkv\nL8/Ozu7Tp8+ECRPy8vI69kDdU15enqamZrNGLS2t3NwO/h6BEJKamhocHBwYGHjt2rXGxkZO\nh/Mz/P39L168uGfPHhsbm/Lyck6HA9AdVVRULFmyZPPmzbGxscuWLbOyspo+ffrixYsXLFhA\np9NtbW1tbW2b3U8MWmotsTt48ODBgweNjIwaGxuDg4P9/f0fPnwYHBzc7IYevIGfnz82Ntbd\n3T0gIGDEiBG//fablEpvr+jz6n8GKHgvaCr9+nnN75/X7iq7lVRVUdEhR9yxY4etre3evXtl\nZGQIIX369AkLC1NRUeHJvJn9FBUVs7KymjVmZma2LMj3Q2lpaS4uLkOGDBk9evTatWtLSko6\nJsSu78WLFyEhIRYWFkOHDg0ODr5+/frs2bOHDRv28uVLTof2M2bMmJGcnJyWljZ8+HDUaARg\nvzt37oiIiJibm1PVc3v06DF27NglS5a8e/cuNTWV09F1Ga0ldu/fv7ewsCCEPHz4sKyszMXF\nhRAyZsyYDx8+sCc4NhMREdmwYcOnT5+qqqrKysrOnz+vqqpK+PjEDAcrbl7+yWF8bOrjz4fO\nvpzluX2sVeSps784ZfPff/81W7LGx8dnbW2dkpLya+8DCCHEwcHhwoULr169YrZ8/vz58OHD\nM2bMaFc/Z8+eNTAwKCoqmjdvnrW1dVxcnLa29osXLzo63i4mJyfHyspKT0/Pzc0tISFBSEho\nzpw5SUlJWVlZWlpaU6dOranprAUMnWrQoEH//fefpqamsbExbooN0Nk+f/5869atJ0+e1NbW\nEkJycnIWLVqUkpJC3blUWVl5+PDhampqIiIi1KowaIvW6tiJiopSo3NcXNzgwYN79+5NCKmr\nqxMQ+HH1uy6tZZmDkJCQBQsWLF26VMfGTurtx2n3nohdS75yPVFkwghtK7Nm5ekZDMaVK1eS\nkpIqKyv19PTmzZsnLi7e8igMBqNl6Q0ajYYlPh1i5syZV69eNTQ0XLhw4cCBAzMzM0+cOKGv\nr79y5cq2d1JYWOju7r5r1y5myZs1a9Y4OTm5uromJyd3TuBdQENDg6WlpbS09IsXL0aNGnXu\n3DkajbZkyRIhISFvb+8zZ86oqqpevXp15syZnI70Z0hLS1+/fn3z5s3r1q3jdCwAPKugoGDF\nihUXL14cOHDgwIEDMzIyVq5cqaamFhgY+ObNGxEREeaeHz9+rK2tVVFR4WC0XUtrZ+yGDh0a\nEBAQGRl59OhRe3t7qjEsLKy7lYppaGhYtWpVYGDgoUOHRptNkJ9usaH8w8IHMYV5+f1uP3u/\ndOOpRZ515f8zP1tSUjJu3Li5c+emp6eXlpYGBgbq6Oh8MwkwNDRsVkmBTqfHxMQMHz6cHe/q\nRwoLCzdu3EitKA8MDKzooAlotuHj4wsNDQ0JCcnOzj58+HBqauquXbtu3brFOl78UFxcnISE\nhKenJ7NFQEDAz8/v4cOHHz9+7ISou4br169nZmZeuXJFRESkoqJi7Nixs2bN2rFjx65du5qa\nmiQkJIYNG8Z6rpT7xcbGUj9cKXx8fNu3b4+Kilq4cCEHowLgVdSPwzdv3ty/f3/lypUODg6O\njo4LFy4sKChobGzctGkT8wRHQ0PD2rVr9fT0dHV1ORtzF9LaubfAwEBLS8uwsDA9PT0vLy9C\nSHh4eEBAQHh4OLvC4wpPnz4tKipavHgxIYROp9vZ2dHp9DP/xI8bN056gUPfslqpf//LWbhe\nauxwyakT3Hy8v379+vr1a1VVVUJIbW2th4eHvb3927dvm5238/HxMTU19fHx2bBhg6Sk5OfP\nn729vbOzs5ctW8aZ98nin3/+sbe3V1VVtbCwaGxs/Ouvv44cORIfH8/ltetacnBwcHBw+OmX\n5+fn9+nTp1kNGupGanl5eX369PnV+Lqmp0+fGhkZycrKUmf0KysrCSGWlpbLli3LyclRU1Or\nqKhoVwLNcdSak2ZsbGxsbGzYHwwA76mtrb148eKLFy8kJCS0tbUzMzO1tLSOHDkiLy8/YsQI\nap+6urrt27efPXvW3t7+7t27VlZW9fX10dHRxcXFCQkJnI2/a2ktsTMyMsrLy8vNzVVXV6cm\nDYcPH37//n3m19BNVFVV8fPzUwXt7t69+99//2VlZSkrK8vIyBQ31s1Y7RatERmwZmPwQM3P\na3Y6l9KUFnmqKCpRr+Xn5/fx8bl8+fLff//dbHXXyJEjr1y54uHhsWfPHllZ2aKiomHDht28\neZN5LXfnqaysjIyMfPPmjZycnJmZmZ6eHuvW2trauXPnzpkz58CBA/z8/ISQwMDA2bNnz5s3\n78mTJ50dG1fp3bt3dnZ2U1MT9TlQMjIyCCFs+Jq4Fh8fX1NTEyFEWVlZS0vr7NmzgYGBVAsf\nH9/Lly8fP37cJWqYd8+77ACwWUpKyoIFC8TFxRUUFKqrq6OiolRVVel0ury8POtudnZ2W7du\nHTJkyJs3b/bs2fPvv/8KCAg4ODisWrVKWlqaU8F3SYwfeffuXWho6P79+4uKihgMRmlp6Q9f\nwuVoNNrmzZvbvv+nT59oNFpKSgqDwTh48KCenh6DwSgsLBQUFLx9+zaDwaiqqiKEPHz48Hn8\nrW1DTLPmrPq4YF3W0ZDFM5wEBQUJITQazcDA4PPnzy07r6mpefjwYURExNOnT5uamjroLbbm\n1q1bysrKioqK5ubmQ4YM4efn9/DwaGxsZO4QGxsrKipaWVnJ+qrMzExCyKtXr9gQIfcoKiqS\nlJTcsWMHs6Wurs7a2nr06NEcjIrj/v77bxERkdzcXAaDERUVJSAgsNrTK8DDa7hGv1OnTvXq\n1cvBwaHlq3bt2jV8+HC2B9saZWXlkJAQ6sH3cDrGX9LesQ6gw1VWVhobG2/evPnIkSN0Op3B\nYLx7905WVlZVVbXZntTV9F++fOFEmB2J42Nda2fsqqurXVxcmBOvFhYWZWVlo0aNunv3bv/+\n/Ts95eQaKioqVlZWbm5ukZGRAgIC9fX1paWlv/32W//+/U1MTAghdXV1hBABAQEJLfVNTxNn\nnTsq/CLj/ZlwH1FZ5znLGo0GOQdsLisrGzly5JMnT2RlZVk7FxERMTIyMjIyYs97yc/Pt7W1\nXbBgwe+//05Nlt29e9fOzk5ZWdnX15faJycnR1lZudnEsbq6urCw8KdPnwYOHMieUL/p8+fP\nL1++FBYW1tfXZ8NvODk5uT///HP+/Pnx8fGTJ0+uqqq6dOlSRUXF7du3O/vQ3GziMKN5I8cd\nclowZ5LlCAZf2pwVArk1NEJkFbU8PT3XrFnTVe7t0T3vsgPQGerq6oqKiqipjNra2vPnz3/6\n9ElKSqqhoSEjIyMsLExNTY3aU0tLa+HChbt37/78+TPr2tbY2FhVVVUFBQXOvAEe0lpi5+vr\nm5SUdObMmfHjx/fr148QoqKiYmJismnTpu5Wvv/UqVP29vYDBgwYNGhQenq6hoaGiorK5cuX\nqQuEw8PDpaSkdHV1hYWF+/fvf/j4n/n5+VfuXBkkLrNAZ+jErzUXBk+oH6qz4crF/fv3b9u2\njYNv5Ny5c0pKSvv27WOuGzMxMdm8efPu3buZiZ2CgsKXL18aGhqo042UgoKCurq6nj17ciBo\nQggh5eXla9asOXHihJCQUGNjo7Cw8IYNG3x8fDr7JmwzZ840NDTcs2fP1atXxcTEnJycvL29\nO/tGc9yDUVff8Lmg4XNBQ25+Q+6XhryChtwvjLr69Qr9CxkN92Pjs6srMr4WF/MzHNwWm9ut\nWqyuzs23xWvmh/lcQ0NDs2veAYCJTqfz8fE9f/585cqV//77b1NTk6Sk5PTp05OSkqiaR3//\n/ffjx4979uzZbO3KypUrd+/ebWdnd+HCBU1NTTqdfubMmS1btuzdu7dlsQhor9YSu0uXLp08\nedLKyorZIiws7OvrO2nSpM4PjLsoKCgkJibGxMQ8ePCgrKysuLjYz89PRUWlpKTk3Llzvr6+\nAQEB1K3lDx06NGXKlKamJk1NTd9du548eTL+0BG3YWNMn745r2Py6GlmbVqGyEAtTr2R9PR0\nY2PjZn96R48e7eXlVVFR0aNHD0LI+PHj+fn59+/fv3btWuY+/v7+ffv2yKsm3AAAIABJREFU\n1dfXZ3fE/8vJyen9+/e3b982MTFpbGwMDw9ftmxZfX39li1bOvvQmpqaR48e7eyjcAN6VU1D\nbn7Dp/yG3Pz6nPyGnPzGwhLCYPD3kBBUVhRUVhQfPUywt6KgsqKAorwaP5/qly+vXr2aLiWl\nq6vbta6WoFBXOLWOgfJDAIQQQurr66ka71+/fvX19b1x40ZJSYmKikpubq6Njc25c+eoZUs+\nPj6KiopbtmyhfgCvWLHiyJEj/v7+/v7+zK6oK64EBQW1tLR69+5dVlbGz8+/ffv2pUuXcuzt\n8ZDWEruysrKWV0FKSUlRX0l3Q6PRrK2tra2tN27cuHXr1tmzZ1MVFOXk5Pbv309dM0sIMTc3\nd3R0vHjx4qdPnxwdHQcMGLDnj2AnJ6dpU6cq5udMllTK3xokqKzYw3yMhKkRn5gom9+FuLh4\nQUFBs0bqPxXzD7OkpGRwcPC8efPu379PJakXL1589OjR33//zamTMSkpKfHx8Wlpadra2oQQ\nqhwug8FYunTpmjVrWtYdhLZoKq9s+JTXkPul4VMelck1lXwlhAgoyAoqKwqq9BIz0hNUURJS\n6cUn8e1PWFFRUVFRkb1Rd6TQ0FDqQUVFhb+/v4mJiampqYSERGlpaWJi4uPHj3ft2sXZCAE4\nKzc3t6SkREZGZuvWrWfOnKFuGCggIKCnpxcUFCQpKenn5/f582d+fn4NDQ11dfWnT5/27Nmz\nvLz85s2b06dPJ4S4uroGBQUFBQVt3bqV+Rfkjz/+6N+//717954/f/7q1Ss5OTlDQ0PcK6yj\ntJbYaWhoXL9+3d3dnbXx1q1b3XxuQlRUdOfOnRs3bnz9+rWIiIiOjo6QkBDrDtnZ2dra2oaG\nhtS8IdVoPXXqqlWrau3s7A5uq/z3UfmVm6Vno8UMB0laj6dpqAQFBYWFhX38+LFPnz5OTk6e\nnp6s06AdaMKECbNnz87OzmYudyCEnDx50tTUlPWIs2bNGjx48Pbt23ft2iUoKDhixIjTp0+r\nq6t3RkhtkZKS0r9/fyqrY7KxsXF2dn716hWXVP7jcvSq6vpPeQ2f8hs+5TXk5NV/ym8q/UoI\n4ZeRElJVElTpJTZyqKCqkpCaMp9o1zv39nOcnJyoB/Pnz1+3bp2Hhwdz07Jly/z9/WNjY3+l\nXA5A13Xz5s3ly5enp6dTT+Xl5UNDQ0ePHj1jxoz3799TBbwePXqkra3922+/eXp6Llq0yMzM\n7OLFi1TdjNu3b1OJna6urpOTU2ho6KZNm6ZPn15eXn769OkLFy5QZVz19fU5OBHEq1pL7Jyd\nnT09PV++fGlhYUGn0//9998LFy7s3bvXz8+PbfFxrR49erRyxYORkdH58+dNTEwWLVpEo9Ho\ndPrt27erqqrc3d35ZaWkbCdJTp1Q/fB5efzdvI3731SVpX16M2OmbV8d7Tdv3uzatSsyMrK9\npXTbaOrUqSNHjjQxMfH39x8xYkRBQcGhQ4diYmL+/fffZnsOGjTo4sWLHR7AT2t5spBaioGZ\nsm+g0xsLSupz8hpy8v/3hNwXek0tTYCfmkgV1u4rMXE0NbtKE+TxG8m0xZUrV1oOa7a2tqam\npidPnuRISABsExMTc/fu3YqKCl1dXXFx8SdPnrx9+zYhIcHNze3q1atRUVE7d+6UlZXdv3//\ngAEDZGVl161b98cff4SEhOzYsUNTU9Pd3X38+PGxsbFmZmZiYmLl5eWqqqpUsQiKp6dnaGjo\nhQsXAgMDqTMFSUlJbLtksBtqbUz38fGprKzcv38/tcBoyZIlYmJiK1eu9Pb2Zld4XRJV7S8o\nKIi6X4WWltabN2/y8vJGjBgxcuRIah8aP/+9ikKP84dIQcnsvrpeGvqCT3OExXrazF+4cOHC\nIUOGBAcHr1q1qsNj4+Pju3bt2s6dO1etWlVaWsrHx0dd5ztp0iQ7O7sdO3Zw58zasGHD0tPT\nMzIytLT+b3ni9evXxcTEWi9H3tjYmJub26tXr2ZnVXkJo6mpMa+w/lPe/y6P+9KQ+4XR0EAT\nFhJUVhRUVhIz0hdUVhRUVRJQVKDxd5krG9ipoaEhPT292Tnpd+/eUcstAHgMnU4PCQm5fv36\nx48fP336VFJSMn78eGFh4RMnTjQ0NIwdO/bFixfi4uLR0dFz587977//ZsyYsXnzZiMjo8uX\nLwsKCiooKDg7O3t4ePTt21ddXf3+/fs9e/YsKysjhIwfP37v3r29e/d2c3NjHu706dOGhoYp\nKSmVlZXCwsKdNB8FTK0ldnx8fAEBARs2bHj+/PnXr19lZGQGDx6M9Uw/5OXl9ddffyUlJVHV\njNPT05uamgoKCo4dO8bc5969e1OnTvX09ExKSmKYjROZ6XRpvf/Q+H/4H6SKDNRab2V/8tRp\nFRUVAwODDq8sIyoqunXrVh8fH0NDw7q6us2bNw8cODArK2vnzp3Dhg3777//lJSUOvaIv87Y\n2HjixIk2NjbHjx8fNWpUU1NTZGSkh4fHqlWrvnkfXkJIfn7+unXrQkND6+vrBQQEpkyZsn//\nfh5YRcBoaGzIzW/Iya//mNeQ+6UhJ68xv4jR1MQnLiqorCio2kt87HAh1V6CyooCCrIE15e1\njaWlJfWHytjYWFxcvKqqKjk5OSgoqBteKAY8r7q62tra+r///nN2dv7w4UNVVVVjY6Ourm5G\nRoaent6AAQPi4uJKSkru3Llz9uxZf39/fX19Op3eu3dvAwODsrKye/fuWVlZKSkp1dbWEkLc\n3d23bdsmIyOzaNEiQoiJiQlV111YWDgjI6OkpOTo0aPnz5+nbh0hISHB4TffPfx4FkZMTIx5\nnolSU1MjKtpZq/6Liopu376dnp7+9etXQoiMjIyurq6ZmRl1wWaXoK6ufuvWrcWLFw8ZMkRG\nRqa0tFRbWzsuLo71Bg8BAQFOTk579uwZOHCgsrKy9iBdn4gQXV3dFTNmq2ZmTCxvGKluGLP3\nzzVp/5nYWB8+fLjDa7b9+eefpaWlr169kpGRIYQYGhpOmzZtxIgRAQEBhw4d6thjdYhLly6t\nWLFizJgxkpKSdXV1NBpt7dq1mzZt+ubOZWVlo0ePlpGRiY6OHjhw4IcPH7Zv325sbPz48eO2\nXAjJPRhNTQ25X6iFcfU5eQ0fPzd8KSJNdH5JCUHVXoIqSiKD+gmpKAkqK/HLSnE62C7s2LFj\nixYt2rZtG51Op1poNJq5uTnrjzGAro7BYKSkpOzYsePFixf37t3T1NSUk5OLjIwUF/9/7N1n\nQBNZ9zDwSaOl0HvvWKgi2CgiIKC4KCAoIOqqKGBBUaRYUHQt2LCjiwIiiKigq2JHXRELKqBI\nL0qTDqGlkLwf5n3y8MfyWMAEOL9PmTvD5ExIJicz995DtLa27u3tffz4sbGxsZaWlqioqLCw\n8OHDh+fOndvc3JyXl4cgiKCgII1GW7x48datW21tbdGxlQEBAVeuXHn69Gl8fHxGRsabN28I\nBIK3t/eWLVvWrFmDwWBMTU0fPXo00gpWcdeXE7vi4uLdu3dXVFSoqan5+PiMGzeOs+rRo0dL\nliwpKioa8FCYTOa6deuOHTuGzlKGpvbt7e0MBkNQUDA4ODgsLGyozHBjbGz88uXLvLy88vJy\nJSUlXV3dfhefnz9/jn5nKCkp5efnIwjCx8fn4OAQmRjHYDAmG483wgosnTLNW2nUi8bGXQuW\n7kq9gPzIiNT3798XFBSIiYkZGRl9MSe+c+eOm5sbmtWh+Pj4/vzzz6ioqJ885kEmIiJy9uzZ\n8PDwnJwcQUFBQ0PDfuVo+jpy5AgGg3n06BF6gVlZWdnMzGzKlCk7d+7k5YlL2Mxe5qdG+oca\nxsdaxsda+sdaZm0Du7cXSxLiU5QlKMoKOlgSFGQISnI4CvzwHUji4uJXrlxpamp6//49lUol\nEok6OjpcnLURgIFSV1cXHh7+6NGj5ubmnp6e9vZ2HA6HxWKnTJni7+9Po9GMjIxkZGTMzc3v\n379vaGj48uXLRYsWFRQUPHjwwMDAoL6+XldX982bN2vXrn3y5MmWLVsWLFhw9+7dmJgYQ0PD\nRYsWPX/+vKqqat++fVgstqGhwcPDw9nZmUgknjlzprq6WkRE5Gs3VcDg+UJil5OTM3nyZCaT\nqaqqmpWVdebMmdTU1BkzZnR0dAQFBR0/fnyQyk6EhobGxsbu37/fycmJc1mFxWKVlZUlJydH\nRETw8fEFBQUNxlMPBiwW+43xPmw2Gx0N4OnpuXz5cg8PD1NTUzqdXllZuW/fvrCwsNl//y3n\n7k4rLDO6eF0vO79sSbCYw1TytIk40f9xYaaiomL58uW3bt0SExNDp6bbvXs3epG8LyqV2q8G\nBoIg4uLiVCr1Z4/4d1BWVu47nvdrMjIyXF1d+3YbwOPxXl5e3L8YyWL1tlKZza29Le29za29\nre3Mptbe1vbexpbeNmpvGxVBEKyQIEFRlk9RlmwzhaAoy6co8z//6eAXPX78WE9PT1xcfMqU\nKdyOBYABk5OTY2lpqaWltWTJkoiICDKZTKVSsVjsxYsXGxoa0CkvGhsb29raDA0NHzx40NDQ\noKWlFRYWJiwsvHXrVjU1tfr6enV19djYWG9vbxqNdvbs2Z07dzY2Ni5ZskRERKS+vn7BggXe\n3t5f7MAzkgtqc9cXErtNmzahNxOlpaWpVKqHh8fGjRvxePyyZcvq6+u3bt26cePGwQglPj5+\n7969S5cu7duIxWI1NDRCQkKEhISioqK+M7GLiYn5xjXFmTNnKikpdXR0oBcFa2pquru7paWl\nf+eikZFRcXFxaWnpH3/88e+//06ePDk4OBiPx2toaKxfv97Hx8fMzKy0tFRaXlo9bKWBpvau\nVWvFa6spoZEC0hJSjtYt0iLdPT2f7xmHw9nY2Dg5OW3fvh2dcfDhw4c3btyQkpKysrLqu7GJ\nicmLFy/6RfX8+fP58+eXlpb+5ldjwBfNzMw4FyM5aykUSnd396CHISUl2Iv0trbX1tV2dXWJ\ntHbxNbT2trQ1kvhpGDbxbRlfQwuCIB0GWkwpUdH2HiIfH5+ibMu4UXRBPikxMYqMNF5CtKam\nprW7W1paWpDbr+QALsrLy/ctH8RTbG1tHzx4AHeLwJBWX1+/efPmW7du1dbWSkpKYjCY6upq\nAQGBMWPGMBgMfn7+oqKia9euubm5vXr1asuWLVVVVTt37vz777/FxcVZLBaZTI6Kipo1a9aj\nR4/evHlz8eJFV1dXBoNx4MCB8vJydXV1b29vOp0uJydnbW2toKDA7cMFX/WFxC47O3vbtm3o\n6Egymbxr164xY8bY2dnZ2Njcu3ev77DEgdXY2NhvorK+DAwMqqurv3NXb968ef/+/dfW6unp\nkUiknp4e9CuHSqV2d3cLCwv/zsXg4OD09PScnJwJEyacOHHC1tY2Ly9PRUVFUlLyxIkTVlZW\nhYWF6MYEAqHsU+3dymJ5efncqjzt5+0ub4vbbE1ZCjIkBIvuuba2tqam5tKlS2/fvm1ubra0\ntHz27Nn58+efPn3Kx8cXERFRVVXV73idnJzMzc1Pnz5tZmaGPtHjx49PnDhx8eJFKpX6m1+N\nAV/U1NTMyspC/92ctY8fPx49evSAPBGRj7+3pa31Y3V3Tw+h+AOjsb23pa1egkjDYGivCoXK\nqhEEabIaxxCl4KqbRBgsnJhwr5IEi59AHKcnKSWJl5YorvrI7O4mKiigN5TrCwt7urtZMhJ4\nCVHeeSXb2tqam5sbGhrGjh1LIpF+cc9EIlFYmEcvPc6dO/fMmTOmpqZDpbMHAP1UVFRMmDBB\nXl5+y5YtsbGxT58+RRCExWIFBQVdv349MTHRyspKQEDA1dV1+fLlz549O3TokKmpKY1GO3bs\nmIWFRUZGhpeX16FDh6KiohwcHOrr67u7uzEYzJw5c8zMzEaPHm1lZYWW0ARDAPszGAzm3r17\nnEW0wv2hQ4c+33JgaWlphYaGfm1tUFDQ2LFjB+SJMBjM5s2bB2RXvyIlJUVOTg6Px8vKyiII\nYmxs/O+//woICCQnJ/fdzMnJCUGQ6OhoFovFZrMfPHhgqKVzxHVh1cpt5a4rP+08fmHzTjKR\npK2tPWPGDBERESwWi8PhNm/eXF5e3tjYePHiRXT/bW1t/QI4ceKEkJDQ6NGj3dzcxo8fj8fj\nv/H6NzQ0/P3332FhYSdOnKioqBiMF2QAvXz5Eo/H7927l8lkstlsFot15swZAoFw/fr1//GX\nLBazjUqvquspKO18kUu9/7Qt7W5zwtXGE+c/7T1VG7r/o++WCvc15c5+5c5+FW6rPvqE1YTs\n+7TnVNPfya2XblEzsrrevKd/qOnt6PwdxzmYoqOjOb0Y0V4QXV1dv7LDPXv2jB8/fqDCG1ib\nNm0aO3askpKSi4vLn/8Xt0P7JTxyrgO/wbx588zNzRkMxt27dwkEQk5ODjoDcFxcHJPJVFRU\nVFdX7+zsZLPZ5ubmXl5eNjY2CxcuxGAwLi4u6LxXOBxOTU1NT09PWFiYn5/f2Nj4ypUr3D6s\nIYnr57ovJODs/3T/QqGPJ02aNNgpZmBgoI+PT3l5uZOTk4aGBoVCYbPZ7e3txcXFKSkply5d\nOn/+/GDH8Ds5Ozvb29u/fPmypqZGU1PT0NAQi8WuW7du2bJlnZ2drq6uBALh/PnzqampNjY2\nnDvUlpaW0Qnx48ePty0sVGRiiuIu6Rd+eOG0RHrmNJLVxIDtW0+ePNnb22thYYFOyuXi4sJm\ns+fOnfvs2bN+czf4+Pg4ODhcuHChvLxcX18/Jibm8wpyqPPnz/v7+6M9ysvLywMCAiIiIgZj\nmr2BMm7cuLi4OH9//4MHD2pra5eVlTU0NOzbt+//Fz5ms3sKymj5Jb3UDha1q7ejk0XtYFE7\ne6mdrI4uzk4w/Hw4MhFLJuIoJCyJiBOh8CnL48VFcCIUnLgITpiCExkyI7V/1IEDB8LCwnbu\n3Onh4SEgIHDnzp3Vq1ejvV25HdqgOHv2LB8fn6CgIDr6D4ChpbCwMC0tbenSpSUlJdevX582\nbZqenp6ysjIGg0lJSfHy8vL09CQQCHfu3HF0dCwtLfXw8Ojo6Dh48CAfH19XV1dKSoqTkxOd\nTkcrniMI0tvbi8PhuHtQ4Kfx0JXVpUuXCggIbN++/fMETldX9/Lly+i1q+FESEjI3Ny8b8u2\nbdsoFMrKlSv//PNPNKXG4/Gpqal9tzE2NpaWln6Zna05b97WoueSJPJedzfqnX9bL93yJgs0\nKmgyR6sdP37cysoK3T43N1dAQODVq1efT8qlqKgYGBj47SBfvXq1YMGCXbt2BQQEoB/1hISE\nRYsWaWhozJo16xdfgcEzb948Gxubf/75p6yszN3d3cHBQV5enlFV1/H4Refjl8zGFn41RZwI\nBUsmEuSkcGRVLJmEpnFYMhFHImLJQpiROosmnU7ftm3b/v37fXx80JbZs2erq6sbGBi8fv3a\n0NCQu+ENhg8fPnzeSKfT37179/uDAeD7dXR0+Pv7x8XFsdnshISEqKgodXX18ePHs1isT58+\nTZ8+/cmTJ21tbVOmTPH19f3nn3+uX79OpVLNzMzOnz9fW1uLjoxEd8XJ6hAEgaxuSOOhxA5B\nEC8vLy8vr/Ly8sLCwra2NgwGIyIioqOjo6SkxO3QfhMsFrthwwZfX9/8/HwajVZfX+/p6fl5\nbTE2m412BiosLLT286PMsKTMsKQVlfdcurG+YQKFj/9lW1PL3X+71eTPX760e/dudXV19Jb6\nTzhx4oSNjU3f/M/Dw+Pff/89cuQILyd2CIJISEgsXLgQQZDe1vbOf7NrDiXQyz7wqShQ7MyJ\nU4xh4revyc/Pb21tdXV17duop6eno6OTmZk5LBO7LyosLLSwsGhvb+d2IAD8V3Nz8927dysr\nK/F4fEFBQVpaWldXV1hYWFxcXGBgoKmpqb29/c2bN3Nycq5fvy4rK4vBYLS0tEaPHl1fX9/R\n0fHq1SssFjt69GhlZeWLFy9ysjownHw5sZszZ06/Ekx2dnZ9O07W1dUNXkyqqqrDoELAryCR\nSGgdvYaGBiaTeevWLXt7e87azMzMhoYGdAMikYjO5IwgyKnb1zfv3dze2jZZSmGGgkZl1Fkh\nPEH404cdrl57r1/+6ULLBQUFtra2/RqnTJly7dq1n9vhb8Pq6Op6ltOZmd2dV4QXEyaajZfw\n9+RT4tGBmbyDyWQiCPJ5ETZ+fn4Gg8GNiAYdlUoNCgq6detWU1MT2sJms9FRONwNDABUUVFR\nRkbG3bt309PT+fj4yGRyRUUFHo9nMplOTk6HDx8mkUjp6eksFuvo0aPu7u6XLl2SlZWNj4/P\nzs6+fPny3r17ZWVlXVxc3N3d29vbJSQktLS0oLTXcPWFxM7Dw+P3xwG+SFJS0tfXd+HChceO\nHZs1axYGg7l9+/by5csXLFigpqaGIMi0adPOnTsXEBBw7NixzZs3R0ZGpqam3rp1qxjLOFj1\nbrqKtruO4cSWrplT3cRKGrte5AoajP7Rou+CgoKfX7Roa2vj2WknWV3dXS9yOzNf9+S8xxKF\nhCYYyDjbCYxSh/pa30lbW5ufn//OnTuzZ8/mNFZXV797987AwICLgQ2e4ODg1NTU2bNnnzlz\nZsGCBe3t7devX/f29t6+ffvgPekwqLIDBhWDwTh79uzTp0+zsrKKiopkZWXR6UtEREQ+fvx4\n+vTpR48epaSkrF+//uTJk7a2tgoKCikpKeLi4gQCYefOnRgMxszMbOvWrTdu3LCxsUlOTh68\nklGAp3zhO/7cuXO/Pw7wNfv27aNQKJ6enr29vVgslsVirVy5cseOHejadevWJSYmTpkypbCw\ncP369dLS0vfv3+fn529oaJCWlo59/jjh1dMx2tpybT1Hjcb0HDiDweMbpITjcp/d/VBCFhE2\nMzPbuHGjuLj4NwKYOnXqyZMnt2zZwsnkmExmXFwcpw8fj+htaet6mdf1PLcnrxAjwC9kqi8V\nvEJQV+uHKnYABEHIZPKKFSv8/PwoFMq0adMQBCksLPT29h43bly/LqHDRlpaWnx8/LRp0y5c\nuBAWFqagoNDY2Ghvb5+fnz8Y83UNpyo7YJB8+PDB3t6+oaFBRUUFnVu0sbHRwsLi2rVrlpaW\nNTU1s2bN6u7uVlFRSUhIOHr0aHBw8LJly5KSkm7duoUgiKOjo5qaWl1dnaSkZEpKysyZM7l9\nQOA34uKIXG4ZilMANDc3379//86dO/X19f1W1dXVcYaVoD/I3r17V1RUdObMGQUFhRUrVrBY\nLCUlpYMHDy6c7+GsOjp6okPh7OWvHf88bD7T1dBUSlIyLy/vG0/d3t6uqalpYGBw9erVsrKy\nu3fvTp06VUpK6uPHj4N5xN+LXlPfeuVOTXBkuYv/hyUhjScSu17ns5hMbsc1tNHp9JUrV6Jz\n8airq2OxWAcHh5qaml/ZJ9enAPgGPB5fXl7OZrOlpKRKS0vRxqysrHHjxg3G023YsEFYWDgq\nKurDhw+cxt7e3uLi4h07dggKCu7atWtAnmgonusAi8W6f/++pqampqbmgwcPVFRUIiMj6XS6\nmJiYmJjY27dv/f39SSTS/v37nzx5oqqqqqamxmazc3JyEARpamq6efMmDoerra3l9nGMXFw/\n1/HW4AnwNaKiolOnTv3iKmlp6W3btqWmpubn5zc3N0+ZMkVDQ4OPj09TU/Po0aOqqqoYDAad\nSKW3txdBkJeszuOtFbpYQRcN3Z0SilRVg7vrtmpFH+JT/nL5FzKZ/OTJk+DgYFdXVxqNRiAQ\nZs6cmZWVxc2Zx9lsWtnHrmc5Xc9zGFV1BDkpIRM9sYVz+DVV4H7rgCAQCFFRUWvWrHn+/HlH\nR4eRkZGRkRG3gxpEoqKipaWlKioqEhISOTk5aD8HeXl5tI7zgBvAKjtgmPn48aOHh8ezZ8/o\ndLq6urq1tXVvb6+xsTGBQFBSUhIXF09JSREVFSUSie/evQsICJCTk3v27Fl8fLygoKCAgMC1\na9cCAwNXrlz5xRpfYISAxG440NTUJJFI2dnZ06dPx2KxWVlZ5ubm1dXVubm5u3fvvnDhQkVF\nBYFAkJSU7OzsJBKJH+vrZU1M1hc8lSFSPEYbqrfiatb9RZCVFJpoSJxgyKem2G//kpKSp0+f\nPnnyZHV1tYyMzOfd6n8DVmcXvaKaXllDr6zqefOe2dzGr65EMh8vZKJPUIBT2KBQU1NDU5xh\nb9asWZ6enk+ePLG2tl69ejWbzZaQkDh69OggjccfwCo7Xl5e36iyw2azGxsbfzg+8Hu1tLSU\nlZUpKSn19PRYW1uTSKS4uDh3d/eCgoJXr15t2LAhNTV14sSJlpaWMTExDg4OkydPjoiIaG5u\nZjAYVCp14sSJK1as6OzsRBDEz88vODgYfhWMcJDYDQcCAgIBAQFr1qyJjo52cXHx9/ffvXv3\npk2bxo0bp62tbWdnhyCItLS0qalpbW3tw4cPFyxY8Pr16+Li4skLFyaUFj58+PD13QeqVGZX\n1uu2K3fwkmLEiYZCEwz4NZT7XgDD4XDo9xyLxSovL29padHW1h6kjt7sXhaz5hO9Es3kqhkf\napiNLQgOS5CV4lOWF55tKzheDy8uMhhPDUagvXv3trS04PH4oKCg27dvOzs7IwhCIpESEhIG\n4+lUVVVv3779tQ6L6enpWlpa37krZ2fnwsLCr63Nzs6GoRi8qaKi4t69e/n5+RkZGa9eveq3\ndv369RgMpq6uTkVFRV9f/8WLF62trYGBgVFRUTExMRoaGng8/urVq2pqalQqdd26dZ8+fWpp\naYmJibGyshISEuLKEQHeAYndMLF161Y2mz1//nw+Pj4ajebg4CAhIaGrq6utrc1kMqWkpLBY\nrKioaGZmJhaL3b17t5KSEoVCoVKpnZ2dGAxGZoyOsIyMsJM1s6G5K+tNZ9abtqv38OIigsa6\nQib6AmM0MP+Zr/LKlStr1qxBJ3TF4XDLly/fsWPHANQAZbMZtQ0+ZSgRAAAgAElEQVS0kkp6\nSQWtuJJeUcVmMHEUEkFZnk9ZnjjRkE9ZnqAoM2InDQaDSlRU9NKlS+jjt2/fvnjxgkaj6enp\niYqKDsbTDWCVnW9P2x4cHNx31lnAFWw2OyMj4+3btyQSSUpKqra29sqVK3fu3JGTk6utrWWx\nWFJSUoKCgmQymU6nl5SUHD9+vKamJjk5efny5f/884+zs3NUVJS3t/fEiRPRwl9//PEHumca\njSYgIHD58uVZs2aFhoaKiMBvXYAgkNgNG1gsdvv27X5+fi9evOjs7Ozq6qqqquru7tbS0rp2\n7Vpzc/OECRPq6+upVGpkZOSGDRsEBAQ6OjrevHnDZDItLS05HTLwkmIURyuKoxWzqbX7RW7X\n85z6HccwAvyCRqMF9UfdrSiau3RxSEjI0qVLRUVFHz16FBAQ8O7du/v37//wID42m1HbQK+o\nopdX0cs/0koqWR1dOGEyn4ayoNEYkbkOfKoKOBHKwL9SAPxHVVXVF9vR/qOdnZ2tra2DMafm\nCKyyM2KVlJR4eXm9evVKU1OzsrKyo6NDUFCQRqOhJ0wVFZUXL17MnTu3pKTkyJEjpaWl6Oz0\nq1atKigoSE5OnjlzJnr9+NmzZ+np6QiCFBUVrVy50sPDY/To0XA5FnwRJHbDioyMjKOjY9+W\na9euJSQkkEgkSUnJuLg4Ozu7zZs3p6Wl9fT04PH40tJSGRmZ6Ojoz3eFFxch25mT7cxZnV3d\nr951vXzbEp9q0EbNdV4hTlIQeFOEVZS1lFe7deTUokWLHsckjB8//n+Gx6bRmQ1NjOpP9Ipq\nRmU1q4eGJQrxqSnwqSoKWZg+rS7PLi8RFmZN1pLT1x89YC8KAF+hqNi/O+nn2Gz2YDw1VNkZ\nCeh0+owZM9TU1MrLy7du3drZ2bl3796VK1dOnDjx3LlzBgYGQkJCJBLJ0NDQxMTkwYMHnp6e\ndDr98uXLBw8eXLt27YULF/B4fEBAAAaD0dPTCwwM1NHRUVFR6VssAIDPwftjmJs6dSofH5+t\nrW18fLyenl5mZiaDwXj69CmCIAQCYcGCBZGRkeg0WhxVVVU7dux48eJFb2+voaFhaGioutl4\notn4T3V1Ztpjrh6NxlFp1LuZjKr/X30kxtQOuZn16WbW/wwGKyiAlxTDy0oJ6usIO1nzqSjg\nJcUQBHn37t38+fPLysp0dXXb29tXrVrl7e19/PhxrozSACNHYmIi+oBKpW7bts3MzMzCwoJE\nIrW0tDx8+DA7O3vPnj2DGgBU2Rnerl+/Xl1d/fz5cxaLdfbs2atXr06fPt3f3//du3dlZWWu\nrq5nzpx5+PBhZ2fnnTt3dHV1NTQ0LC0tHz58ePLkSfRXx+jRo9PT048cOeLr68vtowFDBiR2\nwxyJRDp16tS8efNMTExoNBoWiyUQCEwmc8eOHYGBgZ9Xes7IyJg5c6aBgYGDg0NpaemjR4/O\nnTu3fv16BQUFEolU3N6MM9UT/791luzt7fX19Xft2vVzEXZ3d8+cOdPQ0PD+/fvoVMnPnj1z\ndnYODg7et2/fz+0TgO/h7u6OPvD29t64caOfnx9nlb+//7Zt227evOni4sKl6MDQU11dHR4e\nnpmZ2dHRgcPhampqenp61NXVLS0tGQzGlClTMBiMgICApKRkbm4umUwWFBTMy8vT19c/deoU\nWoVZVlZ29OjRwcHBLS0tCIIkJCScPXuW80YF4LtwcQ49bhmBk3ailQP09PSMjIxWrFhRXV39\nxc2YTKaKioqfn9/+/fuJRKKiouKYMWPQviBoYofFYpcuXdr3T9rb20VERM6fP//TsSUnJwsL\nC1Op1L6NSUlJJBKpu7v7p3cLeA3XJ+38BmFhYXSC4r5ycnJERES4Ec6AGYHnOi7Kysoik8kT\nJ06MjIyUlpYWFhbGYDAyMjLnz5/X0tKaO3dueHh4TU0NWrOnrKzs7du3GAzGzs6uqKgIi8WO\nGTMmJCQEj8c/ePDg5MmT/Pz8+/bt4/YxgZ/B9XMdVFsaEbS0tM6ePZuTk5OdnX3s2DE5Obkv\nbvbq1avKykpjY+ONGzceO3bsxo0bJSUl/v7+eDz+06dPWVlZ1tbWp06d4tyfqq6unjt3roSE\nRN+iol/EZDJv3Lixb9++06dPFxUV9V2Vn59vaGjY73awubl5R0dHZWXlLxw0AN+LwWAUFBT0\naywuLqbT6VyJBww5VVVV8+fPt7KyevjwIZVKJZPJHz9+DAoKotFoioqK//77b3Nzc35+vqys\nrI6ODgaD2bhx4/PnzxEEycrK0tHR4ePjKyws3LlzJ5lMdnBw2LBhQ2Rk5Nq1a7l9WGBIglux\n4L8+ffpEJBLPnDmzfPnyBQsWLF++fPLkyVFRUVevXiUQCDExMTdv3hw7dmxwcPD+/fvRyfqN\njY1v3LghICDwjd3m5OR4eXmVlZWNGjWqpaVlxYoVK1eu3Lt3L3ojWEBAgEql9vsTtAVKVoPf\nw97e3svLy8/Pz9TUlEgkdnZ2ZmVlRUVF2djYcDs0wIuoVKqQkFBCQkJmZmZTU9P79+/fvXuH\nIEhZWdno0aP5+Pg8PT3T0tKEhIS0tLScnJyOHTuGw+GSk5Pr6+sfPXoUEhKSkpKSnJyMIEhX\nV5ednd2UKVO0tLQkJCQ+fvwoKSk5fvx4MTExbh8lGKogsQP/JS8v39nZmZeXt2rVKgRBcnJy\nZs2aRaVS6+rq5syZ8/btWywWu3bt2oiIiN27dzc3N+vq6k6ePPnbE510dHSgU6VnZGSgp6p7\n9+65ubmJiopu2rQJQRALC4vQ0NC8vDxdXV3OX8XFxamrq8MIQfB7nDx5csmSJdu3b2exWGgL\nBoOxtbU9efIkdwMDvKOzs7OjoyMkJOTy5cutra14PB6Px9va2j548IDBYIiIiNBotKSkpKys\nrF27drW0tNjZ2QkKCqalpenp6S1YsIBGoyEI8ujRo97e3h07dhCJxE2bNrm7u2tqahJgek4w\noCCxA/+lr6+vra394cOH9vZ2BEEIBAKNRgsNDZWUlBQVFUVL1tBoNEFBQTc3t+/c58WLF5lM\nZlxcHOeq3rRp03bu3BkWFhYaGorFYidMmDBnzhxbW9udO3daWVlVVVX99ddfN2/eXLt2bWNj\no4SExCAdLAAc4uLiV65cQS+9UKlUIpGoo6MjJSXF7bgA9/X09ERGRqKTBqOz0vz111/nzp2r\nr69HEOTFixdkMvndu3d+fn4lJSWFhYVz5sxJTEy8cOHCwYMHGQxGeXn5sWPH0tPT3d3dOzo6\nbt26VVFRQaPR0OoR3D44MDzBGwv8FxaLjYuLMzMzW7VqVWlpKYvF2rNnD4FASExM9PHxWbt2\nLZvNvnjx4uTJk79/n+/evTMxMel3r9bS0rKhoaGurg7t7RcfHx8ZGblmzRo0ocThcJqammfP\nno2JiTlw4MCCBQsG9jAB+CI2my0pKYn+lmhubm5ubkYQREdHh9txAa7p7e21t7cvLi7esmVL\nRkZGVlaWoqLixo0b29vbnz17pqiouG7dOjU1NQKBcOrUKQqFQqfTfX19Fy9evHnz5qSkpNzc\nXHR4RFpa2j///JOamorBYGCCGzDYYPAE+D/Gjx//8OFDBoMRHR2NdnRTU1Nbv369kJCQhYWF\nu7v769evN27c+P075OfnRy/19dXR0YEgCCfb4+fnDw0NvXfvHg6HCw0N7e7uLigoqKurCwsL\nW7x48cOHDwfo4AD4sqdPn2poaEhKSuro6Iz6v7gdGuCO2trav/76a+rUqZmZmbt37162bFlu\nbu6qVavu379vamoqICCgp6dHIpEwGMzt27eJRKKQkJCOjs7Hjx91dHRevXqFxWLnz5+/e/fu\nMWPGWFpaenp6RkREODg4cPuwwIgAV+xAf6amptnZ2atXr7537x6CIDk5OWw2G0GQcePGTZw4\n8eHDhxoaGt+/N3Nz83379pWXl/f9nXru3DldXd1+vYOPHj1qZ2cXERGBLuJwuICAgJcvXx46\ndMjCwmIADgyAr/D19VVRUQkNDR2k4rBgaElKSlq2bJmysjKNRpOUlFy8ePGlS5eoVKqYmNjp\n06cnTpxYWVn56dMnJSWl5ubm3NxcJpOJx+NbW1t37txJpVJPnDhBJpPd3NwkJSVbWlqUlZVn\nz56t+X+n/wRg8EBiB75gzJgxd+/ebW9vr66uVlNTa2lpKS0tVVZWRmto/hBbW1sLCwsrK6vd\nu3ebmZm1tLScPHny2LFj165d67flu3fv5s6d269x6tSpu3fv/vkjAeA7FBUV1dfXE4lEbgcC\nuK+srGzhwoXbtm1bv369m5ubtLT0tGnTDh8+jMVinz9/vmHDhvz8/PDw8IMHD+7fvx+LxSII\nMn/+fGtr64aGhunTp6emplZUVKSkpPzxxx/cPhQwQkFiB76KQqFQKBQEQWRkZGRkZH5uJxgM\n5vLly9u3b/f29u7p6UEQZMyYMenp6dOmTeu3JR8fX1dXV7/Gzs7Ob8+lAsCvk5CQgJ7sAEEQ\nFot14sQJbW3tDRs2IAiiqalZXV394cOHWbNmbdmy5fTp0zY2NgUFBYqKikeOHMnIyMjJyVm9\nenVCQsLFixdFRERGjRolJCQUHR0NWR3gIuhjBwYdkUjctWtXe3v7+/fvP3369Pbt28+zOgRB\nzM3Nk5OT+04J29vbm5iYaG5u/huDBSPRkiVL4MLwCNfY2Ojj40MikaKjo0eNGhUSElJWVubt\n7Z2YmNjV1TVx4sS2trbAwEAXF5fQ0FAxMTElJaXc3FxBQcHo6GgNDY0DBw4cPHgwNTW1tLR0\n0aJF3D4aMKLBj1TwmxAIBGVl5aysrPT0dFVVVVNTUz4+vr4brFmzJjY21tbWNiIiQkdHp6Sk\nJDw8vLS09OLFi9yKGYwQDAbj9OnTFy9e1NPT6zct9unTp7kVFRgMHR0d9+7dKy8vV1BQMDU1\njY2NffjwYUtLC5VKxWKxiYmJN27cYLFYhYWFpqamL1++jI+P9/HxQW/FZmRksNns8ePHGxkZ\nqauru7i4wFybgAdBYgd+k+vXr/v6+tbW1srIyNTW1qqqqkZHR1taWnI2kJKSevLkSUBAgLm5\nOTpcw97e/smTJ4qKigMbyaNHjzIyMpqbm0ePHj1v3jwymTyw+wdDTmxsLIlEYjAY2dnZ3I4F\nDLAPHz5cvny5vLxcUVGRQqGEh4d3dnaqqqpWVla2tbWJiYn5+Pj09vYSCIS4uLiqqioXF5eZ\nM2e+ePFixYoVERERp06dMjc3nzp1Kj8///Tp0w8cODB+/HhuHxMA3wKJHfgdnj9/Pnv27PXr\n14eFhQkKCra3t4eEhDg4OLx580ZLS4uzmYqKypUrVzo6OioqKpSUlNAefgOop6fH29v78uXL\nkydPFhERSUlJCQ8PP3fu3NSpUwf2icDQ8sWqxHQ6Ha0TBYac9vZ2JpMpJiZ27Nix9evXq6io\naGlp3bp1q7Cw0NLSMj09ncFgrFmzprCwMCsra9q0aadPn5aVld2yZcvy5csLCgqcnJwsLCws\nLCxu3LiRlJR05MiR+vr6p0+f9j1ZAcCzILEDv8O+ffscHR137NiBLlIolCNHjuTl5a1evVpc\nXPzDhw9qamqenp7W1tYIgpBIpLFjx/70c7W1tRGJxC/2hQ8JCcnKynr9+jW6fxqNFhgY6Ozs\nXFRUBCUuQD+FhYUWFhbopNlgqLh27VpwcDCakUtLSzc0NERHRy9evBiDwSxfvpyPjy8zM/Pm\nzZvt7e1kMnn16tWqqqoHDhygUqlaWlqLFi3as2dPampqYmLiqVOnIiIiampq1qxZY2trm5SU\n9BNzAgDAFTB4AvwOr1+/nj59et8WJpPZ3Nx8+/ZtAoFgbW1Np9Pt7e2XL1+O3oT9CQwG4+DB\ngwoKCiIiIkQicdq0aa9fv+73jDExMTt37uRkjfz8/AcOHCCRSNCNb4SjUqm+vr7q6uoi/yEs\nLKyvry8rK8vt0MAPOHXqlLOz88yZM1++fJmTkyMnJ4fFYktKSjAYTGNjIxaLdXFxWbRo0cmT\nJydPnnzw4EETExMrK6u8vDwdHZ0nT54gCKKurl5TU4PFYn18fP7444+pU6fW1dXFxcVBVgeG\nELhiB34HHA7X29vbt+XEiRNlZWX6+vpnzpxBW9asWWNhYWFtbe3i4vITT+Hl5XXv3r3Nmzeb\nmZk1NzdHR0dPmDDh7t27ZmZm6Ab19fVtbW39+sfg8fhx48YVFhb+1GGBYSI4ODg1NXX27Nln\nzpxZsGBBe3v79evXvb29t2/fzu3QwLfQ6fT4+PiXL19iMBhDQ8OgoKDIyMhVq1ahawkEwqJF\niyIjI319fdG5lhgMxoQJE27fvi0tLY3H48vLy7u7u/n4+Hx8fMaPH79nz56ysjIrKysEQdCL\ndklJSdw8PAB+ClyxA7+Dqanp5cuX+7YkJiYKCwv37dxmYmLi4eGRmJj4E/t//PjxpUuX7t+/\nv3LlSgMDAysrq6SkpAULFqxdu5azDVr/p6Wlpd/fNjc3D3hnPjC0pKWlxcfHHz16VEhIKCws\n7Pz586WlpW/fvs3Pz+d2aOCrCgoKdHV1Q0NDW1pampqaNmzY0NLSwqlSQ6VSp06dKicnp6Ki\n8ujRI01NTQkJiUuXLjU0NJDJZBKJZGdnt3Xr1vPnz5uZmRkYGJw7d27btm0FBQWpqalaWlp/\n/vnnjh07Zs+ezd1jBOAnQGIHfoegoKCnT58uXLgQ7aVeVFT05s2b9vb2gICAvptpa2t//Pjx\nJ/Z/7969CRMm6Orq9m308fF5+fIlJ5OjUCgmJiYnTpzou01OTk5mZqatre1PPCkYNurq6tTV\n1REEweFw6EyKEhISR44cCQkJ4XZo4MtYLJabm5u2tnZRUVFSUtKFCxfi4uLIZHJERERdXR2C\nIIKCgmQyOTk5GYPBoOWqV61a1dbWFh4ePmbMGCqVunz58mfPnmVmZhKJxIMHDyYlJfX09Myf\nP9/c3Hzt2rX5+fmBgYHcPkoAfgbcigW/w6hRo+7du7dixQoVFRU+Pj46nU4ikRYuXNiv58qH\nDx+kpaV/Yv8dHR2fV/lEW/qu2r9//7Rp09rb25cvXy4mJvb48eOIiIi5c+dOmTLlpw4LDBOi\noqKlpaUqKioSEhI5OTlqamoIgsjLy8MVO56VnZ399u3bmzdvci63GxkZeXp68vPzv337VkZG\nBo/Hr1q1KjY2tqSkpLq6Ojc3t7i4WFxcvKWlJTExEb0zMGXKFD09vdzc3IcPH+rq6r548cLQ\n0JCrhwXAAIDEDvwm6GyfpaWlFRUVampqSUlJJ06cCAsL42RypaWl8fHxBw4c+Imda2lpJSUl\nMRgMAoHAaczKyhIWFu7b/33SpEnPnz8PDAx0dHSk0WhKSkpbtmxZsWLFLx4aGOpmzZrl6en5\n5MkTa2vr1atXs9lsCQmJo0ePwvSzPKusrExKSgqLxaakpAgJCTk4OMjLy3/69CktLU1DQwMd\nX9/V1SUvL9/a2nr48OFt27ZRKBQXF5c7d+4ICAiUlZUpKSmJi4tz+zgAGHiQ2IHfB4vFampq\nampqIggSEBBw48aNMWPG+Pr6amhovH379sSJExYWFgsWLPiJPbu6uoaEhKxatWr//v1o5YDc\n3NyNGzcuWbKk37wnurq6t27d6u3t7e7uJpFIA3JcYKjbu3dvS0sLHo8PCgq6ffu2s7MzgiAk\nEikhIYHboYH+2Gx2R0eHsLBwW1tbeXk5i8XijHM/fPhwampqQEBAYmIiPz//s2fPdHR0nj17\npqqq2tLS0veiPlyZA8MYJHaAO4SEhB4+fHjs2LFLly7FxsZqaGgcOnTI29sbi/2Zfp+ioqJX\nrlzx8PBITU0dP358S0vL06dPXV1dOTPn9YPD4SCrAxyioqKXLl1CH799+/bFixc0Gk1PT+/z\n+/uAuxoaGhITE9HpaQgEQnZ2tr+/P2dtUlKSsLDwuXPn3rx5Q6PRVq1a5ejoiJ5S4F8JRg5I\n7ADXoJ1gOHMT/CIzM7P3799fuHDh7du3YmJiu3btmjx58oDsGQx7SUlJc+bMQYsX43C4CRMm\nIAhSXV2dmJjo6+vL7ehGuo6OjoKCAm1tbTKZLCQkNGHCBB0dHQqFsn//fh8fn9zc3NmzZ7PZ\n7MuXL589e/bMmTMODg4ODg7cjhoAroHEDgwfRCJx8eLF3I4CDD3z5s1raGjoV32ktrZ23bp1\nkNhxF5vNPnLkCD8/v7y8PJlMJhKJJiYm6Ko///xTU1MzLCzM1dUVg8GMGzcuIyMDBkIBAIkd\nAGDksrOzQx+4ubn1HXnDZrPz8/PFxMS4FNeIlpWVlZWVRaFQHBwcZGRkfH19yWQyBoN5/Phx\nVlYWk8k0MDCws7PDYDDm5uaPHj1Cy9VgMBhuBw4AT4B57AAAI5eXlxda2Z35f/X29k6cOBEK\nDwwSKpX6+vXr6urqvo00Gq25uXn+/Plbtmx59erVX3/9paKiEhoaSiQSW1tbZ8yYYW1tffHi\nxWvXrrm4uEyaNAmdFBNBEAwGA1kdABxwxQ4AMHJ5eHh4eHjk5uampaUJCwtzO5zhr76+fsOG\nDXFxcehlNl1d3SNHjqiqqqamprJYrNTU1Obm5piYmHHjxrHZ7LS0tKVLl7JYrMLCwo8fP+bl\n5aFZeE1Njaenp7Oz8/Pnz39uuBUAwxgkdgCAkS4jI4PzuK6uLi8vT1ZWljOJBvgePT092dnZ\nlZWV6urqRkZGfe9rc9BoNCsrKz4+vnv37o0aNSo3N/fKlSvW1tbXrl0bN25cT0/PunXriouL\nVVVVEQTBYDBOTk50Ot3b25tGo2VmZqJZHYIgcnJy8fHxysrKT58+hTFSAPQDv3UAACPXnj17\n/vjjD85idHS0srKyra2trq6uq6srk8nkYmxDyM2bN0eNGmVhYREYGDhp0iQDA4MnT558vtm5\nc+c+ffr04MEDExOT06dPv3379q+//po/f/7u3bsnTZqUn5+vo6ODZnUcM2bM6OnpwWKxpqam\nfdvl5eXV1NSgNAgAn4PEDgAwQsXExAQFBZHJZHTxw4cPfn5+xsbGt2/f3r17d2pq6vHjx7kb\n4ZDw/PnzP/74w83NrbW1taampqGhYdKkSXZ2dmVlZX03+/jxY0FBgbOzs7CwMJFI9PHxCQgI\nEBERcXd3f/LkCZvNxmKxLBar3857e3sRBGGxWF1dXf1Wtbe3CwkJDeqhATAUQWIHABihjh8/\nvnjx4nPnzqGL8fHxbDb74sWLNjY2GzZs8Pf3P3/+PHcjHBIiIyMdHR137dqFTvotJiYWHR2t\nq6t78OBB5D+ZGYIg//77L4IgnC5xkpKS6IgHQUFBJpPJYrFMTEwKCgoKCgr67jw1NZVEIpHJ\n5NjY2L7tN27caGxsNDc3H/zjA2CIgcQOADBC5efne3h4cBbv3LkzefJkOTk5dNHGxgbu9H2P\nV69e2dvb923BYDAODg6VlZVHjhyJj49HG+fNmychIXH37l1Oqoe6d+/e2LFjcTicsbHxjBkz\nHB0d7969y2Qye3p6zpw5s3Llyo0bN+7atSsgIGDTpk15eXlFRUX79u2bN2/eunXrFBUVf99x\nAjBEwOAJAMAIxWAwRERE0Mc0Gu3Zs2fr1q3jrBUWFu7u7uZSaEMJBoPh3ELt6ur6+PGjlpYW\ni8Vis9n6+vr6+vqcLRctWrR79+4lS5YcOHBARESEzWafO3du7969J0+eRDc4f/78xo0b7ezs\n8Hg8k8kUEhLavHnzunXrMBiMtLR0UFBQREQEgiCysrJ79+5dsmTJ7z9YAHgfJHYAgBFKSkqq\npqbGyMgIQZD79+/39PRYWFhw1lZXV0tLS3MvuiHD1NQ0LS1t2bJlnz59io6OJpFIioqKaWlp\nVlZWZmZmfbeUkpJKT0/39vaWk5PT1NSsq6vr7OyMiIhYsGABugGZTD569OiWLVtyc3OFhIR0\ndXU5PSDnzJkzZ86cpqYmBoMhIyPzuw8SgKEDEjsAwAg1adKko0ePosUn/vrrLwkJCUtLS87a\n5ORkmPHkf/rw4YONjU14eLiPj8+mTZsWLVpEo9G8vb3Ly8tXr179+fYmJia5ubkPHjx4//69\nrKysmZmZrKxsv22kpKSsra2/+HTi4uIDfwwADC88l9g1Njbev3+/oKCgra0NQRBRUdExY8ZY\nW1tzfrcBAMCAWLt2rZWVlaKiIoPBaGpqOnbsGDr7Wmtra1BQ0KVLl1JTU7kdI6+7evWqmJjY\niRMn1q5dq6ioKCQk1NXVNWHChAcPHigoKHzxTwgEgq2tra2t7W8OFYARgocSOyaTuW7dumPH\njjGZTH5+fnSAVXt7O4PBEBQUDA4ODgsLg7oxAICBguYfR48epdPpf/zxx7x589B2Op0eGxsb\nERHRd4o7gMrPz3/w4IGiouKsWbMQBPH390fbc3Jy3r9//+HDB3V1dS0tLThXA8AtPJTYhYaG\nxsbG7t+/38nJiTPWicVilZWVJScnR0RE8PHxBQUFcTdIAMBwYmpq2m/mWwRBpKSkqqqqJCQk\nuBISD+ru7m5oaFBSUkIQhE6njx07Fu2Y2BcOhxs7dizcvAaA63gosYuPj9+7d+/SpUv7NmKx\nWA0NjZCQECEhoaioKEjsAAC/AWR1HGVlZQkJCSIiIitXrkQQxMDAgNsRAQC+hYcSu8bGRm1t\n7a+tNTAwqK6u/p3xAADAyFRZWfn+/ftJkyZRKBQ5OTlPT09lZWVuBwUA+C48NEGxqqrq7du3\nv7Y2PT2dUwEaAADAIKHRaAkJCU1NTWg/OQEBAVVVVU7FCAAAj+OhK3aBgYE+Pj7l5eVOTk4a\nGhoUCoXNZre3txcXF6ekpFy6dAnK+wAAwGDIycnJzMzU09ObPHkyPz9/SEgItyMCAPwkHkrs\nli5dKiAgsH379s8TOF1d3cuXLzs5OXElMAAAGH66u7s7OzvR3oStra2jRo3qWyUCADBE8VBi\nhyCIl5eXl5dXeXl5YWFhW1sbBoMRERHR0dFBR2MBAAAYEN8yxLAAACAASURBVLm5uVevXpWT\nk1u8eDGCIH1LbgAAhjTeSuxQqqqqqqqqCIK0t7efP3/+yZMn2trazs7O/Pz83A4NgEHR1NS0\nZ8+eFy9eMBgMQ0PDDRs2fG1yVwB+WmVlZWlpqZmZGYFAUFJScnNzU1NT43ZQAIABxkP9YVVU\nVLKysjiLFRUVenp6K1as2LZtm4eHh4GBQX19PRfDA2CQvHjxQktLKz093dzc3M7O7sWLFzo6\nOunp6dyOCwyuhoaGgoKC3t7efu21tbWnT58e8KdrbGyMjY2tra1lsVgIgoiIiGhqauJwuAF/\nIgAAd/HQFbvKysqenh7OIjpl3dOnT/X19R8/fuzt7R0aGnrq1Knv2dXZs2cLCgq+tpbNZnd3\nd/96wAB8w+XLl0NCQj59+qSqqrp//360CGl6evrGjRsrKipGjx599uxZLS0tNpvt7e09c+bM\nmJgY9Fs2JCQkKCho4cKF5eXlgoKCXD4MMAiamprmz5+PTgIgJycXGRnJKXqBIEhhYeHSpUuX\nLFny609kZGSEwWDy8/NHjx4tISEREhKCx/PQOR8AMBh490P++PHjXbt2TZgwAUEQW1vb8PDw\n8PDw7/zb7OzsbyR2aNe9gYkSgC8pLy9ftGjRnTt3TExMYmNjnZ2dP336VFdX5+rqmpqaOnXq\n1IiICHd391evXuXm5r5///7u3bucaycYDGbr1q1HjhzJyMiwt7fn7oGAwRAWFvb8+fPIyEg1\nNbVr167Nnz+/tLQ0LCxswJ9IQUGBzWarqKigi5DVATAS8O7nvKOjQ0dHh7Ooq6vb2Nj4nX97\n+PDhb6wlk8l6enq/FBwA30QgEM6fP29iYoIgyNy5cxcuXNjQ0PDo0SN9ff1p06YhCBIcHLxn\nz57CwsLa2loBAQE5Obm+fy4kJCQvL19TU8Od6MEgu379+q5du3x8fBAEmT179vTp0z08PMTF\nxVesWDGwT3T16lV9fX0hIaGB3S0AgJfxbmKnr69fUlKCfjUiCFJQUNDvyw8AnqWgoICOfujp\n6dm3b5+JiYmMjEzfsugEAkFISKi4uFhBQaGnp6eurk5GRoaztqenp6amRlZWlguhg8HX1NQ0\natQozqKbm1t7e/uKFSsUFBQcHR25GBgAYBjgocETCIJs2rTJ09NzxYoV69evp1AokZGRaPuT\nJ082b948ffp07oYHwA+JjIwUEhJKSEiIiYnBYDDm5uY5OTl37tzp7e09fvx4W1tbT0+Pnp6e\npqbmpk2b0C7tqB07dhCJRJiBYrhSV1fvV2Vn6dKlwcHBbm5uN2/e5FZUAIDhgYeu2Lm7u7e3\nt1dWVrb/B2d+k/3794uIiGzdupWrAQLwYwIDA1etWnXt2jULC4ucnBx5efnz58+vXbu2tbV1\n8eLF6urqoqKiWCz27Nmz9vb2ubm5zs7OOBzuxo0bmZmZycnJRCKR20cABoWvr6+vr291dfWe\nPXskJSXRxu3bt2OxWEdHR0joAQC/gocSu8TExK+t2rt3r5KSEvT8BUNFbm5udXW1vb09Hx+f\ns7Pztm3bnj596uLi4ujoiN5ra21tjYyMRPt6Tpo0qaCgYNeuXSkpKb29vUZGRqdOnYIJxoYx\nHx+f5ubmffv2bdq0iZPYIQgSHh5uaGi4du3a79+Vq6vrq1evvraWzWY3NTX9UqwAgKFmaKRK\n8CUHhpbGxkYvL6/79+/r6ek9efKkpKRk7NixLS0txsbG165d09TUDAkJmT59OudLXVZW9tCh\nQ9yNGfw2GAwmJCRk48aNfbtdopycnOzt7YuLi79zV3/++aeNjc3X1vr7+0+cOPHnAwUADEE8\nndh1dHRYW1tHR0fDIFYwtFhZWYWHh8+ZM6exsVFSUvLYsWPoEO+NGzdaW1t3dnZaWlrGxMRw\nO0zATVjsl7s48/Pzjx079jt3Ymdn942169atExYW/uHIAABDGU8ndkwm89mzZ+3t7dwOBIAf\n5ufn5+fn169x6dKlS5cu5Uo8gJfBj1gAwEDhrVGxAAAwAsGPWADAQIHEDgAAAABgmODpxI5E\nIt25c0dXV5fbgQAAwEhx+fJlHR0dUVFRIyOjjIwMtDE9Pd3AwEBERGTSpElFRUVcDRAA8C08\nndjh8Xhra2vo/AsAGN5+/4/YoqKi4OBgZ2dnPz+/vrMio2WO4+LiWlpaVq9e7ezszGQyq6qq\nXF1d9+3b19zcbGdn5+7u/tviBAD8KJ5O7AAAYCT4zT9io6KidHV1Hz9+rKCg8OnTJycnJ2dn\nZzqdjnxW5ri5ublvmWMsFhscHFxUVFRYWPh7QgUA/CieHhULAABgYL169SogICA2NtbT0xNt\nKSgomDp16p49e8LCwr6/zLG2tjZ3DgAA8E1wxQ4AAEaQ+Pj4qVOncrI6BEF0dHQ2bNgQFxfH\nafmeMsfciB0A8L9BYgcAACNIZWXlmDFj+jXq6uqWl5dzFgMDA3t6eiIiIiwsLKqrqzlljlVU\nVOrq6tAyx783agDA94LEDgAARhAxMbG6urp+jbW1tWJiYgiC5ObmomMp0DLH8vLyT58+RRDE\n0dExLy/v48ePAQEBlZWVMJEyADwLEjsAABhBZsyYce3atb6jH2g02uHDhx0dHZH/lDnOzc1F\nEKRvmWN1dfX8/HwGg9GvzDEAgNfA4AkAABhBnJyc7OzsTE1NAwICjI2Nq6qqoqKiOjo6tm/f\njkCZYwCGPkjsAABgBMFgMCkpKX///feJEyf27t0rKyvr6Oi4adMmTrc5KHMMwJAGiR0AAIws\nWCwWEjUAhivoYwcAAAAAMExAYgcAAAAAMEyM0FuxJSUl2dnZ3I7iC4qKinp6eggEArcD+QEN\nDQ1Da4gcjUaj0WgUCoXbgfyAlpYWCoWCw+G4HcgP6O7uNjIy4ixWV1dzMZgRazDOdXl5eTgc\nrm85Ch7HZrObm5vFxcW5HcgPoFKpBAJBQECA24H8gCH3XUCn00kkkrq6+sDuluvnupGY2ElI\nSAQEBHA7CgBGHHt7e26HMLLAuQ4AruDuuQ7DZrO5+PSgH1NTU2dn5w0bNnA7kO9VVFSkra1d\nXV0tJyfH7Vi+1+bNmzMzM+/evcvtQH6Amprapk2bFi1axO1AvteTJ0+mTJlCp9OH1uVn8D1k\nZGQOHTrk5ubG7UC+V1pamre3d2trK7cD+QGOjo46Ojp79+7ldiDfq6amRl5evrCwUEtLi9ux\nfK+tW7c+fPjwwYMH3A5kgEEfOwAAAACAYQISOwAAAACAYQISOwAAAACAYQISOwAAAACAYQIS\nOwAAAACAYQISOwAAAACAYQISOwAAAACAYQISOwAAAACAYQISO94iJycnKyvL7Sh+gLCwsKys\nLIlE4nYgP0BWVnYITaeMUlBQkJaW5nYUP0BcXFxRUXFo1UAD30lRUXFovRulpKQUFRW5HcWP\nkZWVHVrfBSQSSVZWVlhYmNuB/AA5Obkh913wPaDyBAAAAADAMAFX7AAAAAAAhglI7AAAAAAA\nhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAA\nhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAAhglI7AAAAAAAhglI7HhFTEzMqFGj+Pn5FRQU\nQkJCmEwmtyPqj81mnzp1ytDQkEQiqaqq+vv7Nzc3c9byfvz29vYYDKakpITTwrMxl5aWzpo1\ni0wmi4mJOTs719bWclbxYMwMBmPPnj1jxowhEonq6uq+vr5NTU2ctTwYMPhF3z4V8LIjR44I\nCgp6enpyO5BvGaIfmSHx2nIM3ffwd2EDHpCQkIAgSEhISEZGxvHjxykUypo1a7gdVH9//fUX\nBoMJDg5GgxQWFrazs0NX8X78sbGxBAIBQZDi4mK0hWdjbmhokJeXt7W1vX///rVr10aNGjVu\n3Dh0FW/GHBgYSKFQLly4UFZWdufOHXV1dTMzM3QVbwYMftE3TgU8q6GhYebMmfLy8hISEh4e\nHtwO56uG4kdmqLy2fQ3F9/D3g8SOJ2hpabm7u3MWo6Ki8Hh8Y2MjF0Pqp7e3V1xcfOHChZyW\nvXv3IghSX1/P5vn46+rqxMTE/Pz8+iZ2PBtzSEiIiopKd3c3upifn//33393dXWxeTVmcXHx\nlStXchZPnz6NIEhZWRmbVwMGv+LbpwKedfz4cRsbm/r6+jFjxvBy8jEUPzJD5bXlGKLv4e8H\nt2K5r7y8vKioaPbs2ZwWJycnJpN57949LkbVDwaDefbs2Z49ezgt6urqCII0NTXxfvx+fn7G\nxsbu7u6cFl6O+dKlS/PmzRMQEEAXR40atXjxYkFBQZ6Nube3l4+Pj7MoKCiIPuDZgMGv+Map\ngHtB/W8zZ85MT0+XlJTkdiDfMkQ/MkPite1riL6Hvx8kdtxXWFiIIIimpianRVFRkZ+fv6Cg\ngHtB9YfBYNTV1ft+dK9fvy4rK6upqcnj8V+6dCk9Pf3kyZN9G3k25q6urqKiIhUVFX9/fzk5\nOQkJiUWLFrW0tCA8HPOKFSvi4uIyMzNZLFZ1dfWBAwesra1VVVV5NmDwK75xKuBiVP+TgoIC\nFsvr33dD9CMzJF7bvoboe/j7DaV/xnDV3t6OIAiFQunbSCKR2trauBTR/5aSkhITE7Nnzx4c\nDsfL8be0tPj5+UVERKioqPRt59mYGxoa2Gz2tm3bKBTK1atXjx49evv2bXt7ezabzbMx79ix\nY968eZMnT0a7e1MolJSUFISHX2QwgPqeCrgdy5AHHxmuGH7vYTy3AwBfxmazuR3CV505c2bZ\nsmXh4eHfGADFI/GvWbNGWVl51apV37MxL8TMYDAQBDExMdm5cyeCIMbGxkQi0dHR8Wv3Yngh\n5h07dsTGxh4/fnzChAnl5eWhoaEuLi63bt364sa8EDD4fkwms6OjA32Mx+NJJFLftd9zKvj9\nvh3zkAMfmUHFm+/hXwSJHfeJiIggCNL3NxmLxaJSqaKiotwL6qvCw8O3b99+4MCBlStXoi08\nG/+tW7eSk5Nfvnz5+W0Cno1ZWFgYQRBjY2NOi6WlJYIg7969GzVqFMJ7MdfV1W3dujUyMnL5\n8uUIghgYGCgrK48bN+7q1as8+yKD75eRkWFjY4M+NjU1zcrK4qz6/FTAI74RM4+Dj8xvxrPv\n4V8EiR336ejoIAhSXFxsZGSEtpSVlTEYjNGjR3M1ri8IDw/fvXt3SkqKk5MTp5Fn409KSqLR\naPr6+n0bdXR0LCwszpw5g/BkzJKSkqKioo2NjZwWFouFIAg/Pz9vvs7FxcW9vb1jx47ltKDx\nFBcXu7m5IbwXMPgh48ePf/z4Mfq47y3CL54KeMTXYuZ9vPkZH654+T38q7g3IBf819ixY11c\nXDiLO3bsEBQUbGtr42JIn7ty5QoOh/vnn38+X8Wb8VdVVeX1ERcXhyDIjRs30Jk4eDNmNps9\nf/58ZWVlOp2OLl6+fBlBkKdPn7J5MubKykoEQaKiojgt2dnZCIIkJyezeTJg8Ou+cSrgfTw+\nJceQ/sjw+Gvb15B+D/9PuK1bt3I1sQQIgiBycnJbt27t7u4mEAhpaWlbtmwJCgqaPn06t+P6\nLxqNNmvWLH19fRsbm4o++Pn5yWQyb8ZPoVCk+qBSqWfOnNm6dSs6sp03Y0YQREdH59ChQ8+f\nP5eTk8vMzFy1atXEiRNDQkJ4M2ZhYeGcnJxz584pKysLCgrm5eX5+vri8fgDBw7w8/PzYMDg\nF337VMDt6L4qJyenoKCgoqLi4sWL/Pz8SkpKFRUVBAKB1y7pDcWPzFB5bTmG6Hv4B3A7swT/\nX0JCwqhRowgEgpKS0o4dO1gsFrcj+j/y8vK++P45deoUugGPx89ms9G7M5wJitk8HHNmZuaU\nKVMEBATExMSWLVtGpVI5q3gw5o6OjuDgYAUFBTweLyYm5uLigl4TRfFgwOBX/M9TAW+aNm3a\n5zEfPnyY23F9wZD7yAyh1xY1RN/D3w/DhhE3AAAAAADDAsxjBwAAAAAwTEBiBwAAAAAwTEBi\nBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBi\nBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBi\nBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAAAwTEBiBwAAAID/x959\nBzR19f8DPwmQQNiEEfZUEFkuVBwoKoITq4K7arWKs63tI+IqWveqs7W1Vat1geIWnMU9igqK\nCIjI3rI3JL8/7vfJL0+EMIRcSN6vv3LPvbn3c6M5+XDv59wDMgKJHQAAAICMQGIHAAAAICOQ\n2AEAAADICCR2AAAAADICiR0AAACAjEBiBwAAACAjkNgBAAAAyAgkdtAk06ZNY9Rn8+bNhBAT\nE5NvvvmmdY946tQpBoORlpbWKnuzsLBYtGhRq+wKAOgyc+bMejsiBoMxaNAgQoidnd2cOXPo\nDvP/fGbH2Givdfny5ZEjR+rp6bFYLB6P98UXX0RERLT4cC0geoLoY9sPRboDgA5DW1v7xIkT\nYo22traEkM2bN1tZWVEtx48fP378eFhYWL2LAAAttmzZskmTJlGv165dm52d/euvv1KLOjo6\n9MX1f8S6O9GOsdUtWbJk7969Xl5emzdv1tfXT0tLO3bs2KBBgzZt2hQQENBGB5XmCUKLIbGD\npmKxWF5eXvWumjZtmvD1s2fPRFeJLQIAtJijo6OjoyP1et++fWVlZQ11SrQQ6+5EO8bWdeLE\nib17965bt2716tXCxvnz58+aNSswMLBPnz7U9ctWJ7UThM+BW7HQCoQX5AcNGrRnz57w8HAG\ng3Hq1CmxRUIIn8/fsmWLo6Mjh8MxNjZetmxZeXk5tZOPHz9OnDhRTU1NW1t79uzZJSUl9R5r\nwIAB/fr1E2356aefWCxWfn5+UVGRv78/j8dTUlIyMzNbsmRJaWnpp3vQ1dX9/vvvhYtHjhxh\nMBh5eXmSw3v69OnQoUO5XC6Hw3Fycvrzzz9b4YMDgNamqKj466+/WlhYsFgsJyenJ0+eUO0S\nvt11dXVBQUHW1tYsFktfX3/69OmZmZnUKjMzs7Vr186ePZvD4dy7d0/Cfj7t7kTvVNbV1W3c\nuNHKykpFRcXBweHIkSNUexN7LTFbt261sLAQuzLHYDC2b9+upqa2c+dOqkVCXyfhuObm5mvW\nrPnpp5+srKzU1NR69er1+PHjRk9QFDpSmgkAmmDq1KkGBgYNrTU2Nl66dKlAICgsLBw4cKCH\nh0dubm5VVZXYokAgWLlyJZPJ3Lt374cPH65cuWJkZOTn50ftxMfHR0dH59KlS+/fv9+7d6+J\niQkhJDU1VexYBw4cYDAYou2Ojo5jx44VCATjx4/n8Xg3b958//59eHg4j8dbsGABtY25ufnC\nhQup11wud9myZcK3Hz58mBCSm5srIbyqqiodHR0/P7+oqKiEhIRdu3YxGIywsLDP/VgBoKVG\njhzZtWtXsUZbW1s7O7tJkyY9e/YsIiKiS5cuVlZWfD5fILHzWbp0KYfD+f3335OSkm7evGlt\nbe3o6FhbWysQCKjXc+bMefjwYWFhoYT9fNrdCTtGgUCwfPlyNTW1I0eOREVFbdmyhRBy5swZ\nQZN7LVFUZvbdd9/V+7FMmzZNTU2trq5OILGvk3DcTp06GRoarlmzpry8vLS0dPDgwdbW1o2e\noGi06EjphcQOmmTq1Kn6+voln6D6PtGv95AhQ4YPHy58o+hiWVkZh8OZN2+ecO3Ro0cJIfHx\n8Xl5eUwmc/Xq1cJVVCXNp4ldXl6ekpLSzz//TC3GxsYSQkJCQgQCwYcPHxITE4VbLliwwMrK\ninrdlMROQnjv378nhJw9e1a46vHjx1lZWc37EAGg9TSU2FlaWtbU1FCLv/zyCyEkMzNTwre7\nuLiYzWYHBgYKV4WHhxNCbty4Qe3Q1NSUSg0FEjsxwSe9n7BjLC0t5XA4K1euFK76/vvvd+7c\nKWhyryXq5cuXhJB9+/bV+7GsXbuWEJKfny+QmNhJOK6tra29vb3wlKmLatS7GjpB0WjRkdIO\nNXbQVDk5Oerq6mKN165da3qNS1RUVHl5+YgRI4QtgwcPJoQ8f/7c2NiYz+f37dtXuGrQoEHU\n1X4xXC532LBhISEhS5cuJYScPn1aS0tr1KhRhBA2m719+/YbN25kZ2fX1taWl5ezWKymn6CE\n8Hx9fR0dHefPn//y5UsvL6/evXv37t276XsGAKnp06ePouL//bQZGBgQQoqKipKSkhr6dpua\nmlZVVbm5uQlXUd/u58+fDx06lFpkMBjUKgm9RKdOnRoK6c2bN+Xl5aKdxrZt26gXLei1BAIB\n9cZ611ZWVkp+e1OO6+LiIjxlbW1tQkh+fr6urm5T9oyOlHZI7KCpdHR0Lly4INbo4ODQ9D0U\nFRURQiZMmMBk/k9xZ2ZmpoaGBiFEVVVV2KimptbQfqZOnTpt2rSMjAwjI6MzZ874+vqy2ey6\nurrBgweXlpbu2bPHycmJzWb/9NNP9aaGLQiPwWD8888/u3fvPnfu3Pr163V1dRcsWLBmzRoF\nBYWm7x8ApIDD4QhfU9mJQCCQ8O3W1NQkhIj+1Up1PsIyX2oDioT9SAipsLBQ7BCUlvVapqam\nhJB3797VuzY5OVldXV1LS0vCHho9roqKithbqGyyKdCR0g6JHTSVkpJS//79P2cP1F9++/bt\nGzhwoGi7np5eTEwMIaSsrEzYSHWF9Ro7diyHwzl79qyHh8ebN28OHjxICHn27Nnbt29DQkLG\njRtHbVZcXFzv24V/iVKEVb0SwiOE6OjoBAUFBQUFZWRkHD58eO3atWpqaj/88EMTzx0AaCTh\n2x0fH0/+m45QqK6j3txIci/REH19fULIx48fxdqb3muJ4nK5jo6OJ0+eXLdundjlvZqamn/+\n+Wfw4MFUUtVQX9ey4zYROlLaYVQstD6xv+2Ei9QgqYyMDLv/srS0ZLFYXC7Xzs6OwWAIx68R\nQqgyl3qpqqqOGTPm8uXLp0+ftrS0pAbJVlVVEZHu9ePHj1evXq33r0wtLS3RrPH58+eNhvfh\nw4fg4GBqMyMjo5UrV/bo0ePFixfN/2wAgAYSvt0ODg5sNvvhw4fCjR88eEAI6dWrV7P2Q21Q\nb5/TqVMnTU1N0acHz5s3b/78+U3vtcR88803KSkp1CAMUatWrcrOzhbmSQ31dS0+bkMnKAod\nKe1wxQ5amba29pMnTyIjI3k8nrGxsdjiN998s337dmNjYw8Pj8LCwk2bNkVERCQkJOjr63t6\neu7du9fJyalz584XL158/fq1hKNMmTJl4sSJqamp1JQYhBBHR0dVVdX9+/dbW1tnZGQsWrTI\nx8fnr7/+ev36defOnUXf6+rqGhYWlpqaamxsfOnSpVu3blHtHA6nofAyMzP9/Pyio6P9/Pw4\nHM6DBw+io6Pnzp3bdh8jALQiCd9uLS2thQsX7tmzp0uXLoMGDYqLi1uyZImbm9uAAQOaux+x\n7k70XUuWLNm8ebONjY2bm9vNmzd///33U6dONb3XEjNr1qwbN26sWbPm1atXU6ZMMTAwSEtL\nO3r06JUrVzZs2CC8tdJQX9fi4zZ0gk38iNCRSgldozagY2ni404EAkFERIShoSGbzaYGbYkt\n8vn8bdu2derUSUlJSVNTc9y4cW/evKHemJmZOWbMGA6Ho6mpOWPGDOoPu/fv39d7xOrqaupP\n5Li4OGFjaGhop06dlJWVnZ2dqe7M2tpaVVX1+fPnouPLUlNTPT091dXV9fX1Z86cSVWWZGRk\nSA4vODi4V69eampqHA7HwcFh165dn/mRAsDnaGhU7FdffSVcDA0NJYTExsYKJH67a2trf/zx\nRwsLC0VFRQMDg6+//rqgoKDeHUrej1h3J9oxUocwMzNjs9n29vZ//vmnMMKm9Fqf4vP5Bw8e\n7NmzJ1VTqKam5uXldf36ddFtJPR1Eo4r4TOUcIKi0aIjpRdD0OSKSAAAAGhXBAKBjY2NkZER\n9fxkAIUff/yR7hgAAACgJRgMBofD2b9/f15enoGBQVlZmbDgD+QTrtgBAAB0bNu2bdu/f39G\nRsaMGTMOHTpEdzhAJyR2AAAAADICjzsBAAAAkBFI7AAAAABkBBI7AAAAABmBxA4AAABARiCx\nAwAAAJARSOwAAAAAZAQSOwAAAAAZgcQOAAAAQEYgsQMAAACQEUjsAAAAAGQEEjsAAAAAGYHE\nDgAAAEBGILEDAAAAkBFI7AAAAABkBBI7AAAAABmBxA4AAABARiCxAwAAAJARSOwAAAAAZAQS\nOwAAAAAZgcQOAAAAQEYgsQMAAACQEUjsAAAAAGQEEjsAAAAAGYHEDgAAAEBGILEDAAAAkBFI\n7AAAAABkBBI7AAAAABmBxA4AAABARiCxAwAAAJARSOwAAAAAZAQSOwAAAAAZgcQOAAAAQEYg\nsQMAAACQEUjsAAAAAGQEEjsAAAAAGYHEDgAAAEBGILEDAAAAkBFI7AAAAABkBBI7AAAAABmB\nxA4AAABARiCxAwAAAJARSOwAAAAAZAQSOwAAAAAZgcQOAAAAQEYgsQMAAACQEUjsAAAAAGQE\nEjsAAAAAGYHEDgAAAEBGILEDAAAAkBFI7AAAAABkBBI7AAAAABmBxA4AAABARiCxAwAAAJAR\nSOwAAAAAZAQSOwAAAAAZgcQOAAAAQEYgsQMAAACQEUjsAAAAAGQEEjsAAAAAGYHEDgAAAEBG\nILEDAAAAkBFI7AAAAABkBBI7AAAAABmBxA4AAABARiCxAwAAAJARSOwAAAAAZAQSOwAAAAAZ\ngcQOAAAAQEYgsQMAAACQEUjsAAAAAGQEEjsAAAAAGYHEDgAAAEBGILEDAAAAkBFI7AAAAABk\nBBI7AAAAABmBxA4AAABARiCxAwAAAJARSOwAAAAADbvQLQAAIABJREFUZAQSOwAAAAAZgcQO\nAAAAQEYgsYPWN2nSJAaDkZaWRncgrYk6qaysLLoDAYDGNfqFVVRU7NOnT+seTsY6PeigkNjJ\nHT6fHxISMmrUKEtLSxUVFRUVFWtr6+nTp0dFRdEd2v93/PhxBoPx448/0hjD5s2b3717J1x0\ncXEZPnw4m82mMSSAjo76aoths9lWVlZz585NSkpqrQPJ7Re2PXSeQC9FugMAaZs8efKZM2fM\nzc0nTJjA4/GKiooiIyNPnjwZGhp67dq1AQMG0B1gu5CZmblixQoXFxcbGxuqJSAgICAggN6o\nAGRDv379+vfvL1wsKCh49uzZoUOHgoOD79+/7+Dg8PmHwBcW5BYSO/ly586dM2fOuLu737x5\nU1Hx///rX7p0acyYMUuWLHnx4gWN4bUfz549ozsEAJk1dOjQTy8pbd++/YcffggMDLx48SId\nQQHICNyKlS9v3rwhhEycOFE0qyOEjB49+tixY9u2bePz+VRLVlbWnDlzjI2NVVVVnZ2dd+/e\nXVtbK9z+6dOn48aN09XVZbFYFhYW06dP//DhQ0MHzc7OXrhwobm5OYvF0tPT8/HxaZW0KTk5\nedasWcbGxiwWS1dXd8yYMU+fPhXdoMWnMGrUqLFjxxJCvL29GQzG/fv3ySclO5KPPmXKFAaD\nUVpaunz5cgsLCzabbWpqumvXLoFA8PknDiCTlixZwmKxHjx4IGyR3HVUVVVt27bN2dlZU1NT\nXV3dyclJtAcT+8JevXq1R48eKioq+vr6c+bMKSwsFD30qFGjGAyGaGNtbS2DwRg6dKiwpemd\nnuTAxPTv35/JZGZkZIg2pqWlMZlMd3f35u6tiSR8sI3GI/nt5L+ffE5OzrBhw1RUVIRpeqMf\n4JUrV1xdXTkcDo/HW7p0aUVFhampaffu3ZsSNojCFTv5YmpqSgi5cePGvHnzxHK7adOmCV/n\n5ub27NmztLR0xowZ5ubm//zzzzfffPPq1atDhw4RQiIjI93d3XV0dJYuXcrj8d6/f79///7r\n16+/efOGy+WKHTE3N7d3796FhYXz5893cHBITU09cODAgAEDwsPDhd1EC6Smprq6upaXl/v7\n+3ft2jU9Pf3AgQMDBw68efMmdYvnc05h1apVOjo6x44dW7NmTbdu3ezt7Zt7dBaLRQiZMGGC\npaXlqVOn+Hx+UFDQd999p6WlNWvWrBafNYAMEwgEfD5fVVWVWmy06/D39z98+PCUKVP8/f0Z\nDEZ4ePh//vOf5OTkffv2ie35/v37Y8aMMTAwWLNmjZ6eXkRExJgxY5jMZlzXaFan1/TACCFT\npkx58ODBuXPnFi1aJGwMCQkRCARUn9ysvTWF5A+20Xga/Xeher9vv/1WSUlpzZo1VlZWTfkA\n7969O3bsWD09vYCAAF1d3eDg4EmTJpWUlBgbGzcl7JZ9FDJLAPKkurq6W7duhBAXF5c9e/bE\nxMTw+fxPN/P39yeEhIeHC1tGjhxJCHn9+rVAIDhw4ED37t3v3LkjXLt3715CyN69e6lFPz8/\nQkhqaiq1K0VFxWfPngk3TklJUVdX79mzp4Q4jx07RghZu3ZtQxt8+eWXhJBz584JW968eaOg\noNCnT59WOYVNmzYRQq5duybcgDqpzMzMphz9q6++IoRMnjxZuEFiYiIhZNSoURLOGkDmSfhq\nBwUFEUJmz55NLTbadXA4nL59+4ru4dtvvx0/fnxtba3gf7+wXl5ehJCnT58Kt1ywYAEhpHfv\n3tQi1TkUFBQIN6ipqSGEDBkyhFpsVqcnOTAxOTk5ioqKgwYNEm3s27cvm82m4mnW3gRN6Dwl\nf7CNxtPov8vs2bMJIZ6ennV1dcJtGv0Ahw0bRggR7ra2tnbw4MGi/0Yt+ymRT0js5E5RUdHC\nhQtVVFSozJ7L5fr4+Pzxxx9lZWXUBnw+n8vlmpqaiuZ8iYmJt2/fzs3NFdtbdXV1RUXFrVu3\nCCHLli2jGoV9HJ/P19XV7d69e+b/Gj58OCGkpKSkoSAl9018Pl9TU9PAwEAsK6WuluXl5X3+\nKUhI7Bo9uuC/iV1YWJjoBhwOx8XFpaFTBpAH1Ffb3d19rYilS5dSTx6xsbFJS0sTCARN6To0\nNTWNjIyys7PrPZDwC1tXV0eN/RddSxUTNz2xEyW502s0sE95eXkpKCgIt09NTWUwGF988QW1\n2Ny9Ndp5NvrBSoinKW+ner+///67oQjr/QCVlZXt7OxENwsLCxP+G7X4p0Q+4Vas3NHQ0Ni3\nb9+WLVtu37794MGDe/fuXbly5fz58wEBASdOnBg6dGhmZmZ+fn737t0ZDIbwXVZWVtQVdcqx\nY8cOHToUHR0tVpUidqycnJy8vLy8vDxDQ8NPI0lJSTEyMhIduWZjY/P99983egpZWVlFRUU9\nevQQjZAQYmtre//+/fj4eHNz89Y6hRYcvW/fvlSLmZmZ6AZKSkrUrwWAnIuIiIiIiBBt0dfX\nDwwMXLZsmY6ODmlC12Fvb79u3bqlS5d26tRp7NixgwcP9vT0FN62E5WZmVlRUSH63SeE2NnZ\nNTfmpvcYTQxMaPLkyWFhYefPn//666/J/973bMHeJGvKByshnqa8nXpta2srtlbCB1hYWFhZ\nWSl8BAHFzc2tWWE37QOQC0js5JSqquro0aNHjx5NCCkoKDh+/PgPP/wwYcKEd+/eVVRUEEIk\nPP8pMDBw06ZNPXv23LVrl6WlJZvNjomJmTNnzqdblpSUEEJcXFyoC2BijIyMSktLDx48KGzp\n169fUxK7srIy6hTE2qnLkGVlZa14Ci04urBFSUmpKTsEkDdr164VjoqtqKiwt7fPz8/39/en\nsjrShK6DELJkyRIHB4e9e/eeO3fu2LFjDAbD29v7wIED5ubmohuXl5cTQpSVlUUblZWVxf4w\nk6xZPUYTAxMaN27c/Pnzz549SyVSZ86c0dbWpi4itmBvkjXlg5UQT1PeTtHU1BRdJfkDzM/P\nJ4RwOBzRt6irqysoKDQ9bBBCYgdEW1t78eLFycnJO3bsiIiIoOpRxEaNCVVWVv7888+mpqZ3\n7txRU1OjGouKiurdWF1dnXpB7fNTWlpaguYPFKWOK5pCUagWdXV1Ho/XWqfQgqM3cT8AQAhR\nUVH5+eeffXx8Fi9eHBoaSjU22nVQPDw8PDw8qqqq7t27d/z48b/++mvo0KExMTFU/b5w/4SQ\nyspK0TeWlpZK7nmqq6uFr1vQYzQlMCF1dfWRI0eeP3++oKCgrKzs8ePHc+fOFd2yWXuTrCkf\nrIR4mvjvIqbRD5D6G1js36i8vLyurq7pYYMQHnciR+rq6vz9/UePHl3vUHktLS1CSGlpqaqq\nqp6eXmxsrOh9w7i4uH379sXExGRlZVVUVPTs2VP4/SSEiN1VETIwMNDV1X379q1YjpWbm/s5\nJ8Lj8XR0dGJjY8W65jdv3jAYDFtb21Y8hRYc/TPODEAejR071tvb+/z58+fPn6damtV1sNns\noUOHHjlyZP78+e/evXv58qXoWh6Px2KxxOa0iI6OFl2kEgvR7kJ0+xb3GJIDEzVlypTa2tor\nV66I3Ydt2d4kaOIH21A8LevSG/0AeTwek8lMTk4WfdeTJ0+aGzZQkNjJEQUFhaSkpMuXL69Y\nsUL4lxAlMTHx4MGD1GAoQsjYsWPz8/OPHj0q3ODHH39cvHhxVVWVgYEBg8EQff7Qy5cv//rr\nL/LJ31uUiRMnVlZWbtu2TdiSm5vr5ORE3QVusS+++CIzM/PChQuiYTx9+tTDw4PKUD/zFKhb\nANQt3RYcHQCaZffu3Ww2e/HixdRNN9JY1/H48WNjY2PqaytEPcFErARCUVHRzc3t3bt3os88\n279/v+g2VOVWbGyssEV0z83q9JoemKgRI0Zoampeu3bt/Pnz5ubmwmk5WrY3yZrSJzcUTxPf\nLqbRD5DFYvXs2TM6Ovrt27fUBnV1dVu2bGlu2PB/6Bu3ATRISUmhiohNTU3nz5+/du3aZcuW\njRo1isViMRgM6gm6AoEgNTWVx+MpKiouWrRo27Zto0aNIoTMmDGDWkstzps37+TJk6tXr9bW\n1r569aqioqKJicmJEydKS0tFB4hlZ2dTYwhmzZp15MiRjRs3mpmZKSkpXb9+XUKc1MCu3r17\nL/3E7du3BQJBeno6j8dTU1MLDAw8evRoUFCQvr6+urp6VFRUq5xCSEgIIcTV1XXHjh3UUxJE\nn57Q6NGpcWEJCQmiJ6Wpqdm1a9dW+pcE6JAkjNkMDAwkhCxevJhalNx11NTUODg4sFisuXPn\n7t+//8CBA7Nnz2Yymf3796eGq4t+Ya9evcpgMPT19QMCAqjewMPDQ1NTUzgq9tGjR4SQHj16\n3L59+/HjxytWrBgwYIC6urpwVGzTO71GA2vIrFmzdHR0FBUVAwMDhY0t2FujnWcT++R642nK\n2+vt/Rr9AIODgwkhlpaW27ZtO3jw4IABA7788ks2my38N2rZT4l8QmInd4qLizdv3uzm5qaj\no6OgoKCiotK5c+fZs2eLPh9IIBB8+PBh2rRp+vr6SkpKVlZWO3bsED42KScnZ8qUKXp6epqa\nmh4eHvfu3RMIBEFBQWpqajweLzMzUzSxEwgEmZmZ/v7+pqamioqKWlpaY8aMefLkieQgqb6p\nXtu2baO2SUlJmTVrlqGhoaKior6+/qRJk968edNap1BdXT1+/HgVFRVtbe3g4GDB//5ONHp0\nJHYA9ZKQ2JWVlZmamjKZTGH/ILnryM/P/+abb6ytrTkcjqamprOz88aNG4VPvhD7wp46dcrR\n0ZGasWD27NkFBQWmpqbdunUT7u3IkSP29vYqKioGBgZff/11YWGhkZFR//79qbXN6vQkB9aQ\n69evU12cWD/W3L01pfNsSp/cUDyNvr3e3q/RD1AgEPzxxx+2trYsFsvc3HzlypXV1dUsFsvN\nza2JxwUhhgBzHAEAAEB7UlxcrKmpOWbMGNGiF2gK1NgBAAAAnQ4fPjxo0KDIyEhhy5EjRwgh\nouV90ES4YgcAAAB0evLkibu7u7a2tr+/v5GR0YsXL3777TcjI6OoqCiMSGsuJHYAAABAswcP\nHmzYsCEyMrKgoEBfX3/48OHr16/Hw4dbAIkdAAAAgIxAjR0AAACAjEBiBwAAACAjkNgBAAAA\nyAhFugOgQY8ePcTmDQQAKRg+fPjJkyfpjkKONNrXdevW7e3btw1NnddBMZnMrl27lpaWdsR+\n3sjIqKioqKysjO5A4LPQ29fJY2IXHx+/fPnyPn360B0IgBwJDg5+8eIF3VHIl0b7OgUFBWpm\nKmlGJQVlZWUFBQW6urrKysp0x9I8ubm51dXV2traHA6H7lighWjv6+QxsSOEuLi4DB06lO4o\nAOTIixcvkNhJn+S+7uHDh46Ojurq6tIMSTpevnwZHR09bNgwQ0NDumNpBj6fHx0dHR0drays\n3LdvX5n8p5F5tPd1qLEDoFl4eLiLi4u2trajo6NwfkZKfHy8iorK8ePH6YoNZJubm5uspg4u\nLi5dunS5detWcXEx3bE0A5PJdHFxGTt2bF1dXWho6Pv37+mOCDoeOb1iB9BOZGVlTZgw4cyZ\nM97e3idOnPD19c3JyWGxWIQQgUAwd+5cHo9Hd4wAHVKvXr00NDSob1PHoqmp6e3tnZiYyGaz\n6Y4FOh5csQOgk0Ag+P333729vQkhEydOLCkpyczMpFb9+uuvZmZmPXr0EN0+NjZ26tSpdnZ2\nXbt2nTVrVkcsD4f2Iycnp66uju4o2pCtrW2HK7MTsra2NjY2Fi7y+Xwag4EOBIkdAJ0MDQ0n\nTZpEvQ4PDzc3NzcxMSGEpKWl7dixY9euXaIbh4SEODs7FxUVffvtt4sWLUpOTra3t7958yYN\ncYNMiI2NLSoqojsKaRAIBDU1NXRH0XLZ2dknTpyIjo6W7UQcWgVuxQK0Cy9fvly4cOHff/+t\noKBACPH391+/fr2urq5wg7Kysnnz5q1du3blypVUi7+//7fffvvVV18lJiYqKuK7DM2mpKSk\npKREdxTS8OHDh0ePHg0fPpzL5dIdS0sYGBi4urpGRkbGx8e7urqamZnRHRG0X7hiB0C/sLCw\ncePG/f333/379yeEnDx5ks/nT548WXSbu3fvVlZWLlu2TLRx9erVaWlpkZGRUg0XZIUMD54Q\nY2FhYWpqGhYWlpOTQ3csLdS5c+fx48ebmZnduXMnPDy8urqa7oignWp3f+Xn5eXdvn377du3\n1A0CbW3trl27Dh06VE56H5BDN27cWLBgwbVr1+zs7KiWs2fPvnz50sLCghCSm5sbERHx/v17\nc3NzPT09sYIhHR0dNTW1jvtbBSAdDAZjwIABT548CQ8P9/DwEK1d60BYLJarq6utrW1MTAzu\nyUJD2lFiV1tbu2zZsgMHDtTW1rLZbDU1NUJIcXFxTU2NiorKihUrVq1axWAw6A4ToDUVFxfP\nnj37ypUrwqyOEBISEiJ8PWHCBB8fn2nTpt26dSsrK6u4uFhDQ0O4NiMjo6SkxNTUVKpBg6zI\nycnhcrnU3X950Lt3bwUFhVu3bnl5eenr69MdTgtpamq6ubkJF6kMT37+EaFR7ehW7MqVK48e\nPbpz586UlJTKysq8vLy8vLzKysqEhIRVq1Zt2rRp69atdMcI0MouXryYnp7u6uqq/F/Xrl2r\nd8sBAwbo6+sHBAQI/1Kvrq5etmyZvb29s7OzFEMG2SE/gyeEevbs2a9fv447VPZTL168CA4O\nfvv2LYbNAqUdXbE7duzYtm3b5s6dK9rIZDJtbGwCAwM5HM6ePXuWL19OV3gAbWHatGnTpk2T\nsIHw6h2LxTp+/LiPj8+DBw9GjBhRV1d34cKFoqKisLAwXMmGlpGfwROirK2t6Q6hNXXr1o3N\nZkdGRsbExHTr1s3S0hIdgpxrR1fs8vLybG1tG1rr4uKSnp4uzXgA2puBAwfGx8ePGjXq+fPn\nMTExU6dOjYuLc3FxoTsu6KjkZ/BEQ1JTUzt6sZqCgoKjo+PEiRPNzc0fPHhw+fJluiMCmrWj\nK3aWlpbXr18fOHBgvWvDwsI6d+4s5ZAA2htdXd0NGzbQHQWALODz+Y8ePVJXV/fw8Ojoczyw\nWKyePXva29sLn3AOcqsdJXbff//9vHnzkpKSfHx8bGxsNDQ0BAJBcXFxQkJCSEjI2bNnT5w4\nQXeMAACyQ94GT4hhMpmjRo26cePG5cuXhwwZoqWlRXdEn4vD4YjeaE5NTVVUVDQ0NKQxJJC+\ndpTYzZ07V1lZef369Z8mcI6OjufOnfPx8aElMAAAmRQbG+vo6Kijo0N3ILThcDgjRoy4e/fu\n5cuX3d3dZWyAeX5+/suXL/X19V1cXIyMjOgOB6SkHSV2hJDp06dPnz49KSkpLi6uqKiIwWBo\naWnZ2dnhKdsAAK1OPgdPiFFSUhoyZMjz58/v378v9lTwjs7FxcXS0jIqKurGjRtcLrd79+5I\n7+RB+0rsKJaWlpaWlnRHAQAg40Qfhybnunfv3q1bN7qjaH2ampoDBw50cXF59epVZGQkEjt5\n0I5GxUqWn5+flZXVxI0rKioKGiYQCNo0VAAA6HBEnxLy+UNlw8PDXVxctLW1HR0dr1+/Lroq\nPj5eRUXl+PHjn3mIptPQ0OjXr9/o0aOFLTU1NXjunazqMInd8OHDm14B2rt3b52GlZWVhYeH\nt2m0AADtX05OTkd/2EdbyM3NPXHiREJCQqNbPnv2bM6cOQMHDvT19T1y5IgwVcrKypowYcKm\nTZsKCgpWrFjh6+srnNpVIBDMnTuXx+O14Qk0wf3794ODg1+/fl1TU0NvJNDqOkxit2DBgvXr\n1zdx4zt37iQ2jBAiz8XCAAAUOZx5oin09PR69Ojx8OHD+/fv19bWNrTZjz/+2Ldv3/z8/GHD\nhnG53KVLlw4aNKi0tJQQIhAIfv/9d29vb0LIxIkTS0pKhE8h+fXXX83MzHr06CGdc2lI//79\n7e3tY2Jizpw58++//5aVldEbD7Si9lhjV6/Zs2c3fWMul8vlchtai6dyAwAQDJ5omL29vZ6e\n3j///HPx4kV3d/dPf1AePXq0fv36S5cujRgxgmpZvXp1v379fvrpp82bNxsaGk6aNIlqDw8P\nNzc3NzExIYSkpaXt2LHj8ePH8+fPl+bpfEpJScnR0bFr166JiYkxMTHx8fFTpkyhNyRoLe3u\nil1ubu7bt28/vTuQmZl56NAhWkICAJBJmHlCAj09vbFjx3K53Fu3bn269tSpU56ensKsjhBi\nZGS0fPnykydPim728uXLhQsX/vXXX9TDAv39/devX6+rq9vWwTcRk8ns1KmTj4+P6NPEUIbe\n0bWjxC4/P3/48OH6+vpdunQxMzMT+3rExcWJTSMLAADQdlgslru7+7hx4z5dlZaW1qlTJ7FG\nW1vbtLQ0YWIUFhY2bty4v//+u3///oSQkydP8vn89vlEFQ6HI3z97NmzkJCQ169fC+sCoWNp\nR7diV61a9fTp0+3bt1tZWV26dGnKlCmJiYmrVq2iOy4AANkk5zNPNJHo3eqPHz9SJdr6+vop\nKSliWyYnJ+vr61PVPjdu3FiwYMG1a9fs7OyotWfPnn358qWFhQUhJDc3NyIi4v3792vWrJHO\nWTSdi4uLsrLymzdvXrx4YW1tbWdnh6r0jqUdJXZXrlzZvHnzvHnzCCHjxo0bPnz41KlTuVyu\nv78/3aEBAMggzDzRLBUVFZcvXzYyMnJzc/viiy9Gjhz57NmzXr16UWtLSkp27Ngxfvx4Qkhx\ncfHs2bOvXLkizOoIISEhIcLXEyZM8PHxmTZtmpRPoSlYLJaTk5ODg0NycvLbt28vXrw4ceJE\nVVVVuuOCpmpHiV1+fn6XLl2Ei35+fsXFxf7+/iYmJqJP3wEAgFaBwRPNoqKiMmbMmPv374eG\nhrq6us6aNWvAgAFfffVVr1690tPTf/31V3V19aCgIELIxYsX09PTXV1dhe8NDQ2lBsl2FEwm\nk5osoLKyUllZmWrk8/mVlZWi922hHVIkhKSnpx86dGjt2rX0hmJtbX39+vWBAwcKW+bOnZuS\nkuLn53f27FkVFRUaYwMAkD2YeaK5tLS0Ro4c+fr160ePHo0bN87b2/vXX3+9du0aj8ebP3/+\nd999R/1UTZs2TfLVONGrd+2cMKsjhKSmpt65c8fIyMjW1tbU1JTJbEdl+iCkSAh58eLF9u3b\nqcSupqaGegyPZJqamq3+L7pgwYIFCxakp6dv3bpVT0+Paly/fj2TyRw9erS7u3vrHg4AAKC5\nGAyGo6Ojubl5dHT0wIEDRceTyjxzc/MRI0bExcVFRESw2WwbGxsHBwc2m013XPA/xJOzhQsX\nSpizQWj79u2tHsq8efN++umnixcvlpSUiLYHBQWFhIQkJSW1+hEBAOQZZp5oMQ0Njf79+8vh\nTUl9ff0BAwZMmjTJyckpPT1d+OBlaD/Ea+x27NgREBAgXLx79669vb2urm5dXd2hQ4diY2Pd\n3Nx8fX3bYiJhBoMRGBgYEBDw6QOEfXx8vL29mzLBCwAANBEGT7SWp0+fVlZW9uzZU05SPRaL\n1aVLF9GyeD6f//r1a0NDQ+ENN6CL+BU7dXV1q/+6devWV199RQixsrI6cuTIjh07srOzg4KC\nrly5InrTvZUDYjLrnRmCzWY7ODi00UEBAGg3ZMgQKd+awOCJ1mJlZVVYWHju3LnXr18LZ4yV\nKwKBICsr6/Lly6Ghoa9evSovL6c7IvklaVTs7t27d+/e7erqWltbe+DAgXXr1gUGBh4+fHjX\nrl2LFy+WWogAALLk3bt39bZHREQI592xsbGRQiQYPNFadHV1R48eHRcX9/z58/j4+L59+xoa\nGtIdlFQpKCh4enqWlpa+e/cuLi4uMjLSzs6uT58+dMcljyQldomJiV5eXoSQJ0+eFBYWzpw5\nkxDSv39/ZHUAAC326YwFQsIpqjCtU4fDYDDs7OwsLS1fvnz5/v17eUvsKGpqai4uLi4uLtnZ\n2bW1tcJ2Pp/PYDAwUbt0SErsVFRUKioqCCFhYWGOjo5UXV1VVZWiYjt6+h0AwOcLDw93cXEx\nMDCora3dsWNHVFTUkCFDqFqUVufl5XXr1q158+b5+fmJtg8aNOjw4cOWlpZtcdB6YeaJVsdm\ns3v37k13FPQzMDAQXXzw4EF6erqFhYWVlZW+vj5dUckJSSla9+7dN2zY4Ovr+8svvwiv0p0+\nfVq0XhIAoKP7/fff58+f/+jRIwMDg7Vr127ZsqVHjx6hoaHl5eVtcYPi2rVrf/3117fffhsf\nH3/w4EFqjilKt27dmlVM7Onp+e+//za0trS09P79+6NGjWpoAwyeaGsCgeDcuXMWFhaOjo4s\nFovucGjTu3fvpKSk9+/fX716VU1NzcrKytnZGX9RtBFJid3GjRu9vb1Pnz7t5OS0dOlSQkhw\ncPCGDRuCg4OlFR4AQJuTfj3xjBkzhg8fvnDhQgcHh59++mnJkiUtezJoUFBQWlpaQ2t9fX0l\n7xaDJ9oag8Ho3r17ZGRkXFyco6Njly5d5POWF4vFsrW1tbW1LSsrS0pKSktLq6ysxDRlbUTS\n/zBXV9fMzEzq8il1a7xXr14PHz5EOSQAyBJa6okNDAxCQkLOnj27cOHCkydP/vnnny3YSd++\nfSWsZTAYkvM2DJ6QAktLS3Nz8/j4+KioqJiYmH79+pmamtIdFG1UVVUdHBxEL0sXFxffv3/f\nyMjI0tJSU1OTxthkRiN/OrBYLNGCDwsLC9G7BgAAMoDGeuLx48cPHjz422+/7dWrl3w+JkMe\nMJlMOzs7GxubuLg4umNpd1RVVY2MjJKSkl68eKGtrW1ubt6pUyc1NTW64+rA6um2Fi1a1Ojb\n9u3b1wbBAADQgN56Yh0dnaNHj06ePPn06dPa2tpSOKIQBk9Ik6KiYteuXYWLAoEgLS3NyMhI\nzj9/BQUFaiBtYWFhcnLyhw8fKioqcC35c9SApe0aAAAgAElEQVST2F2+fLnRtyGxAwCZ0R7q\nib28vKjbwdKEwRM0qq6ufvDgASGka9eudnZ2KHbU0tLS0tJydnYWbaSedWxmZmZgYNDqM9TL\nqnoSuw8fPkh4Q3V1dUxMTFuFAwAgdXJbT4zBEzRis9kTJkyIi4t7/fp1dHS0nZ2dg4MDm82m\nO672RUtLKz09/e3bt0pKSqampmZmZubm5nQH1d41u4IkLi7O3d29uLi4LaIBAKCFfNYT44YX\nvaibs3Z2domJia9evaJuStIdVPtiampqampaVVWVmpqampp6//59TU1NLS0tuuNq1yQldiUl\nJcuXLw8PD8/Pz6daBAJBSUmJhMemAwB0FKgnhvZAQUGhc+fOnTt3Fm2srKxsuznZOxw2m21j\nYyM2z15FRUVERISBgYGJiYmuri6mtRCSlNitWLHi/Pnz48aNO3z48IwZM4qLi69cufLll1+u\nX79eavEBALQR1BNj8ET7VFdXd+bMGW1t7a5du1pYWKC2rF5sNtvQ0DAlJeXly5fKysqmpqY2\nNjY8Ho/uuOgnKbG7cOHCsWPHhgwZcvr06VWrVpmYmOTl5Xl7e79588bExERqIQIAtAXUE2Pw\nRPukoKAwbty4mJiYhw8fPnv2zNbW1s7ODhfwxDCZTGdnZ2dn54qKitTU1LS0tHfv3iGxI5IT\nu6ysLGtra0KIgoJCdXU1IURXV3ffvn0LFy709PSUUoAAAHSQh3piDJ5ot9TV1fv06dOjR4+E\nhITY2NiioiJ3d3e6g2qnVFRUPr2X/fLly/j4eGNjY2NjYyMjI7maz01SYqetrZ2YmGhhYaGr\nqxsVFWVlZUUIMTY2fvPmjbTCAwBoc3JbT4zBE+2ckpKSvb19ly5dBAKBsLGoqIjD4SAjl6xL\nly7Kysrp6en379+vra3V09Pr06cPl8ulOy5pkJTYjRkzZtq0aQ8ePBg6dOjSpUsFAoGuru7+\n/fvNzMykFh8AQFtDPTG0ZwwGQ3RkwIMHDz5+/Ghpadm5c2c9PT0aA2vP2Gy2nZ2dnZ0dn8/P\nycnJyMgQ/QxzcnJUVFTU1dVpjLDtSErstm3bVlBQoKiouHz58uvXr48fP54Qoqam9vfff0sr\nPACANie39cQYPNEReXl5JScnx8XFXb58WUdHp0uXLmJ3IUEUk8nk8XhitXdPnjzJy8tTV1c3\nMjIyMjIyNDSUpScINnIr9uzZs9Tr169fP3v2rKqqysnJScqT3gAAtCm5rSfG4ImOiMlkWlpa\nWlpaFhcXJyQkJCcnI7FrrtGjRxcWFmZkZGRkZNy/f18gEEyaNElm7m5LSuzy8vJEF6lHyNTV\n1WVmZhoaGrZtXAAA0iK39cQYPNGhaWho9OjRQ7QlIyMjMzPT2toaj/BtFDWDmb29PZ/PLysr\nE34RiouLHz9+rKenZ2hoqKen1xGvZ0tK7CTcvBct5AQA6NDktp4YgydkjIKCQkZGRnR0NJfL\ntba2trS05HA4dAfV3jGZTNFiO2VlZS6Xm56eHh0dzWAw9PX1O3XqRF3R7ygkJXaHDx8WXSwv\nL4+MjLx9+/bmzZvbOCoAAOlBPTHIBgMDA+omY2JiYkxMzLNnz4YPH447bM3CYrGo66A1NTVZ\nWVlZWVmVlZXCtWVlZSUlJS24kicQCF69evXixQsvLy8DA4NWDvp/SUrsZs6c+WljSEjItWvX\n/Pz82ioiAADpktt6YgyekElaWlo9evTo3r17Xl6e6P/hnJwcHR0dRcVmzxEvn5SUlKiZakUb\nP3z48O+//zIYDF1dXR6PZ2BgwOPxmvINunv3rrKysnSeMt3sf+Bx48YtWbKkLUIBAKCF3NYT\nY/CEDGMwGKL1VNXV1Tdv3uTz+SYmJhYWFqampkjoW6Br166dO3fOycmhLua9evWqd+/ednZ2\njb7RwcGBy+WmpKRIIchmJ3bp6ellZWVtEQoAAC3ktp4YgyfkB4vF8vPzS0tLS0pKunfvHiHE\n3t5ebOwFNIWSkhI1oQUhhM/ni87ke/Xq1YqKitzcXLG/FQkh0nw2sqTE7vvvvxdrKSgoCAsL\n69evX1uGBAAgVXJbT4zBE3JFQUHB3Nzc3Ny8trY2LS2trq5OuKqmpkYgEMjVvFutQjSrI4T0\n798/PT199+7dGRkZdIVEJCd2R44cEV1kMBhaWlqDBw+W+c4OAOQK6olBrigqKlpYWIi2REVF\nxcTE8Hg8MzMzMzMzVVVVmkLr2DT+i95CxmY8xw4AQH7IQz0xBk8ApXv37sbGxsnJya9evXr8\n+DGXyx04cCAehtdB1ZPYpaWlSX5PTU2NpaVl28TzP4qLi0+cOJGZmWlrazt+/HhZmvEDANo5\neagnxuAJoDCZTENDQ0NDwz59+uTn56enp4tec/r48SPtV6Gg6er5dxIb3FuvtigotrCwOHXq\nVJ8+fajFDx8+DBo0KDk5mVpcv359RESEvr5+qx8XAOSc3NYTY/AEfIrL5YpW+vP5/LCwsNra\nWh6PZ2JiYmJioqGhQWN4HVFtbe2JEycIIXV1dWFhYQwGY/DgwU3JtVqmnsTu5MmT1IuSkpJ1\n69YNGDDA3d1dTU2toKAgIiIiMjJy69atbRFKcnKy6GMAly9fTgh59OiRs7PzvXv3vvzyy5Ur\nV/7+++9tcWiAVnfu3LnAwMDs7GxLS8udO3cOGjSIEBIWFhYQEPDhwwd7e/sjR45ghsd2Qm7r\niTF4AhrFZDL9/PwyMzNTU1PfvHnz5MkTfX39kSNH0h1XR6KoqDhjxgzpHe7TpkmTJlEvvvzy\ny4CAgIULFwpXLVq0aN26ddeuXZswYUJbR3bv3r3NmzdTF/A8PT2DgoKCgoLa+qAArSIpKWnW\nrFk3btxwdXU9evTo+PHjs7Ozs7KyJk6ceP78+cGDB//000+TJk16/vw5tT2fzw8ODn727Fl1\ndXX37t2nTJmC4WnShHpiAAkUFBSoa3WEkKKiItEShaKiotTUVENDQ2k+zgMkY0pYd+HChU+z\nch8fn3PnzrVlSP+ntLRU9KF/jo6O6Hyho1BSUjpx4oSrqyshxNfX9+PHj7m5uXfv3nV2dh4y\nZAiTyVyxYkV8fHxcXBwhJD093dXVdd68eQkJCenp6T/88IOTk1NsbCzdJyH70hqTlJREd4xt\nKycnR/SZFwCN0tTUNDIyEi5WVVW9e/fu4sWLJ0+ejIiISEhIqKqqojE8IJJHxdbU1Lx9+1Zs\nUHRCQkJ1dXXbBkUIIcTZ2fndu3fUTyMh5O3bt6L/mQDaM+Fft5WVlTt27HB1deXxeAwGQ7iB\nkpISh8NJSEiwtbWdPn06h8OJj4+nSkiLi4tnzJgxceLEqKgoDFdsU3TVE7cfGDwBn0lfX9/H\nx6e8vDwjIyMjIyMyMrK0tLRbt250xyXXJCV23t7e06dPX7hwYe/evVVVVcvKyh4/frxnz55h\nw4a1UTSrV682NzdXV1dXU1PT0NDYvn37lClTCCEPHjxYs2YNbupDx7J9+/b//Oc/tra2ISEh\nDAZj4MCBX3/99Y0bNzw8PH777beioqLKysrExMQ7d+68fv1aODBIQ0Pjt99+MzY2fvjw4YAB\nA+g9BdlGVz1x+4HBE9AqOByOjY0NNRefqLt37378+JEab8vj8VBhIh2SEruDBw/OmTNn/fr1\nfD6famEwGJ6engcPHmyLUCZNmlRcXJycnFz8X8Lnm+zcuVNLS+vHH39si+MCtJHvv/9+yZIl\nly5dcnd3j4qKMjY2PnHixHfffVdYWDh79mxra2ttbe13796x2eyuXbuKvlFfX9/MzCwhIQGJ\nXZtqJ/XENMLgCWhTzs7OycnJWVlZ8fHxdXV1Ojo6gwYNwqDatiYpseNyuaGhofn5+bGxsSUl\nJaqqqnZ2dm33wBHhX8+f2rZtm5mZGR6iAx1FdHR0enq6t7c3i8UaP378unXrHj16NGHChNGj\nR48ePZoQUlhYuH37dicnp3fv3lVXV5eUlKirqwvfzufzCwoK0P1JzYULFz4dm+Xj4+Pu7v7H\nH3/QEhKADNDU1HRycnJycuLz+Xl5eXl5ecLrNQKB4NWrV2pqajwej8Ph0BunjGk8VeJyuf37\n95dCKBJYWVnRGwBAs+Tl5U2fPv327dtOTk4PHjx49+6dg4NDQUFBz549L1261KlTp8DAwOHD\nh+vp6WlqanK53F9++eU///mP8O1///13RUUF9YQUkAJ664lphJknQDqYTKa+vr7ohSGBQJCf\nn//q1avq6mp1dXV9fX0TExP81reKehK7b775xtfX183N7ZtvvmnobT///HNbRlWP/Pz8mpoa\nHo/XlI2rqqrKy8vbOiSAhnh4eAQFBX3xxRd5eXl6enoHDhyghngHBAQMHTq0rKxs0KBBf/75\nJyGExWLt3r17xowZiYmJEydOVFRUvHLlyp49ezZt2qSrq0v3ecgL6dcTtxMYPAF0YTKZgwcP\nFggEhYWFWVlZOTk58fHxwsSurq7u48eP2trauFPXAvV8ZCEhIT179nRzcwsJCWnobdJP7IYP\nHx4ZGdnEEWqurq7R0dESNsjIyGiluADqt3DhQtGaLcrcuXPnzp0r1jhlyhRTU9PAwMBRo0bx\n+XxHR8ezZ8+OGjVKWpGCtOuJ2w8MngB6MRgMbW1tbW3tLl26iLbn5eVdu3aNwWDo6OhQl/p4\nPJ6KigpdcXYskuaKbXTSWGlasGBB07Oxq1evZmVlNbS2Z8+ehoaGrRQXfJZ6p2fIzs6ePXv2\n/fv3dXR0tmzZ4uvrS3eYbW7AgAH37t2rra0VCAT4oZU+KdcTtx8YPAHtk4GBwdSpU/Py8rKz\ns3NzcxMTEw0MDIYMGUKt5fP5fD4fF/Ma0sjnEh4e7uLiYmBgUFtbu2PHjqioqCFDhnz11VfS\nCU7U7Nmzm76xsbGxsbFxQ2sZDIboE8WALvVOz6CoqPjll1927979/PnzkZGRS5cuHTdunJzk\nOuin6NUe6okBgKKkpEQ9J4VaFL1fFx0d/fLlSy0tLV1dXV1dXT09PR0dHfysC0n6Ifn999/n\nz5//6NEjAwODtWvXbtmypUePHqGhoeXl5YsXL5ZaiJT09PTQ0NBFixZJ+bjwmaqrq/fs2XPk\nyJHExEQTE5Nx48atWrWKGu8pNj3DzJkzc3Nza2trHz9+fOHCBSUlpT59+jx58oTuMwCZ1T7r\niaUJgyegoxDN2xwdHQ0NDfPy8nJzc1+9elVaWtqzZ09HR0dqLZ/Pl/PLN5ISu927d+/evdvV\n1bW2tvbAgQPr1q0LDAw8fPjwrl27pJ/YJSQkLF68GIldx1JTUzNs2LC4uLgffviha9euycnJ\nO3fuDA0Nffz4MZfLrXd6hitXrtjY2AQEBJw/f57L5W7atEnmC9iBLu2znliaMHgCOiIFBQUD\nAwMDAwNqsbKyUvSuzu3bt7OysrhcLpfL1dXV5XK5mpqaNEVKD0mJXWJiopeXFyHkyZMnhYWF\nM2fOJIT0799f+lkddFBHjhyJiYmJjo4WTgc3bdo0V1fXjRs37tixg2oRm56hsLAwOjp6+fLl\nO3fuvHr16oQJE969e6enp0ffSYDMap/1xNKEwRMgA5SVlUUX+/fvn52dnZ+fn5eXl5iYWFlZ\n6eXlJbylW11draioyGQy6YhUSiQldioqKhUVFYSQsLAwR0dH6re5qqqqjSqBpk2bJmFtdnZ2\nWxwU2tTVq1d9fX1FJ/lVVVWdN2/egQMHhImd2PQM2trahoaGEydOJISMHDnSxsbm0aNHY8aM\noecEQG60n3piacLgCZA9ysrK5ubm5ubm1GJFRYXocNrQ0NCqqiptbW0ul6ujo0NV6dEUaVuR\nlKJ17959w4YNvr6+v/zyi/Aq3enTp8WGJbeWs2fPqqmpCS+uiikrK2uLg0KbKigocHFxEWvk\n8XgFBQWkgekZHBwcioqK6urqqLofDH0CKWhX9cQA0IrEHpIyduzYvLy8jx8/5ufnv379uqys\nzNfXV7hNTk6OqqqqqqoqHZG2Gkk/mRs3bvT29j59+rSTk9PSpUsJIcHBwRs2bAgODm6LULZu\n3bply5Y7d+7Ue9/tn3/+GTx4cFscF9qOpaXlpw8UjIqKop5CWe/0DHZ2dl26dNm5c+f3339/\n48aNpKSkPn360BE7yJF2VU8sTRg8AfJGWVlZWN4tprKy8vr16zU1NWw2W0dHR1tb28DAQGxC\nmhbLysp68uRJWVmZurq6m5sbl8sVXXv48GHhaA8VFRU/P7/POZakxM7V1TUzMzM9Pd3CwoI6\nZK9evR4+fNhGP7SLFy++fv36tGnTrl27Jtv3v+XHzJkzhwwZcvbs2fHjx1MtT5482bdv37Zt\n20jD0zMEBwdPnjx5w4YNpqamwcHBqOyGtia39cQYPAEgpKysPHXq1KKiooKCgo8fPxYUFBQU\nFAgTu8rKyvj4eA0NDW1tbQ0NjWaNuq2pqblz506/fv3MzMwSEhJu3749YcIE4R6qq6sZDAbV\n7bSKRm5ysVisurq606dPZ2VlTZ8+3cLCQktLq7WO/anDhw+HhIRkZmZ++hQ6bW1t4cMJoaNw\nd3ffsGHD5MmTe/fu7eTklJSUdP369a+++mrOnDnUBvVOz2BiYnLv3j2pBwvyS8r1xO0HBk8A\niGIwGFpaWlpaWpaWlmKrqqur09LSCgoKqqurFRQUtLS0zMzMPq01qldGRoaampqZmRkhpFOn\nTi9fvszNzRU+Ar26urp1v4aSuq3y8vKZM2cKb7x6eXkVFha6ubndu3evc+fOrRiEkK6u7vz5\n8+td5ezsfPPmzbY4KLSp5cuXjx49+vjx44mJifb29oGBgXgGLLQ3Uq4nbj8weAKgiTQ0NEaM\nGEEIKSsroy7msdls4dq0tLSoqChNTc16H61SXFws2q6pqVlUVCSa2BFCbt68mZ+fr6am1qNH\nDx6P9zmhSkrsVqxY8eDBg6NHjw4ePLhTp06EEBMTkwEDBqxevfr06dOfc1SQK/b29hs3bqQ7\nCoAGSbmeGAA6Lmp0hViVno6OjqmpaUFBQVJSUm5uLpWrCdXW1opWsioqKtbW1oouWlpadunS\nRUtL6/379zdv3hw/fvznTIwrKbE7c+bMH3/8QaWoFDabvWLFCjwwFgBkiZTridsPDJ4AaBUc\nDsfJyYl6/dtvv7FYLNG1ioqKdXV1wsWamhrRMg8NDQ3htXNra+uYmJjs7OzPGbQhKbErLCx0\ncHAQa9TU1CwtLW3x8QAA2iEp1xO3E7QMnkhJSTl69GhcXByPx/Py8ho6dKg0jw4gfZqamklJ\nScLFwsJC0e6loqKioqJC+DWsq6v7zPGjkt5saWl5+fJlscZbt259WlQIANBxlZeX+/r6durU\nafLkyd9++21ubm5iYqKtrW18fDzdobUt6Q+eOHz4cJcuXUJDQ5WVld++fTtixAg/Pz+x+1YA\nMsbY2Li8vPzDhw8CgSA2NlZJSYl6rNuHDx9KS0sLCwvDwsIKCwsJIe/fv6+oqPjMGjtJid30\n6dOXLFmyYMGCixcv8vn8u3fvrlmz5rvvvps7d+7nHBIAoF0R1hOnpKRQBdHCeuK2O2hubu7b\nt29Fb9BQMjMzDx061HbHFeXm5qauri6dYxFC3rx58/XXX2/dujUyMvLQoUOXL19+8eJFRETE\nli1bpBYDgPQpKCh4eHhER0efOHHi/fv3Hh4eVPu///6bl5dnaGjo4uJy48aNv//++82bN0OH\nDhW7k9tsAoHg0qVLampqgk/U1dUFBgaKVvBxOJyVK1fy+fxPN+5AGAzGmjVr6I4CQL5s3bq1\nV69edEdRPx6Pd+XKFeo1m82OjY0VCAT//vuvtrZ2WxwuLy/P09OT6lSNjIxOnDghuvbOnTtU\nz/z52ltfFxAQ0LdvX7HG3bt3W1pa0hIPQFsYOXKkqqoqjQFIqrFjMpkbNmxYuXJlVFRUUVGR\ntra2o6Mjh8P5rEQSAKCdkXI98apVq54+fbp9+3YrK6tLly5NmTIlMTFx1apVbXEsyaQ8eCIp\nKcnZ2Vms0cXF5cOHD8JZBAHgM0lK7O7du+fk5KSpqdm3b1+pBQQAIGVUPfGCBQtEG9uunvjK\nlSubN2+eN28eIWTcuHHDhw+fOnUql8v19/dv7q6ePHmSkpLS0FqBQPDprV5RUh48oaWllZOT\nI9aYnZ2toaGBrA6gtUhK7Dw9Pe/cuSPzA/4BQM5R9cSvX7/28vKi6olPnDixY8eOoKCgtjhc\nfn6+6KOP/fz8iouL/f39TUxMRo8e3axdBQYGvnjxQsIGeXl5EtZKefDEiBEjJk2aFB8fL3zE\nfW1t7b59+0aOHCm1GABknqTEztfX9/Dhw717927WnGgAAB3L8uXLS0tLd+3a9csvvxBC5s2b\nx+Fwvv3222XLlrXF4aytra9fvz5w4EBhy9y5c1NSUvz8/M6ePdusB5PeunVLwlomk2lgYCBh\nAynPPDF69GhPT8++ffv+8MMPvXr1yszM3L17d2pq6tGjR6UZBoBsk5TYmZubh4aGWlhYuLq6\nis2SIbVBWwAAbU3K9cQLFixYsGBBenr61q1bqaceEELWr1/PZDJHjx7t7u7eRselHYPBOHv2\n7MGDB/fv379mzRp9fX0vL6/Lly9Lzj4BoFkkJXZHjhxhsVgqKiqvXr2SWkAAAFIm5XriefPm\nffz4cceOHatXrxYmdoSQoKCgbt26fffdd1KIgSL9mScUFBSovFZqRwSQN5ISOwk1uQAAMkPK\n9cQMBiMwMDAgIODTKhcfHx9vb++EhATpRELLzBMA0KY+a9oKAAAZQNUTCwQCaR6UyWTWW77M\nZrM/ffZKG5H+zBMA0NYkXbEDAJAHcltPLOXBEwAgBUjsAEDeoZ4YAGQGEjsAkHdyW08s/cET\nANDWUGPXPEVFRQEBAb169bKysho5cuTNmzfpjggAoIViY2OLiorojgIAWlM9V+zS0tIkv6em\npqaNZtpp5z58+NC/f381NbU5c+bo6uo+fPjQ29v7hx9+2LhxI92hAQA0GwZPAMieehI7U1PT\nRt8m5eFj7cSyZctsbGyuX7/OYrEIITNnzpwwYYK3t/fEiRO7detGd3QAAM2DwRP0EggECgoK\nTOb/3Trj8XiNXlgBaFQ9id3JkyepFyUlJevWrRswYIC7u7uamlpBQUFERERkZOTWrVulG2S7\nUFNTc+XKldDQUCqro3h6evbu3fvChQtI7AAAoF4CgeDRo0dxcXHa2tp9+/YVzrRRVFTEYDBq\namowbye0onoSu0mTJlEvvvzyy4CAgIULFwpXLVq0aN26ddeuXZswYYKUAmw3ioqKqqqqzMzM\nxNrNzMyys7NpCQnEFBcXHz9+/M2bN5qamh4eHkOGDKE7IoB2DYMnpODt27ezZs169uyZhYVF\nfn5+TU3N6tWrly9fTggpKirS1NREVgetS9LgiQsXLowcOVKs0cfH59y5c20ZUjulra2tqqoa\nFxcn1h4XF9eUm9fQ1m7evGlra7t169acnJynT596e3v7+PiUl5fTHRe0X2mNSUpKojvGtoXB\nE22trKzM09NTV1c3JSXl3bt3Hz9+PHjw4Pr163/55RdCSGFhISFk9OjRJiYmbm5u//zzD83h\ngkyQ9LiTmpqat2/fWlhYiDYmJCRUV1e3bVDtkoKCgq+vb1BQkLu7O5fLpRr/+OOPmJiY4OBg\nemODvLy8iRMnzpw5c8uWLdS98rdv344YMSIgIGDPnj10RwftFOqJMXiirZ06daqqqurMmTMq\nKiqEEAaDMXXq1PT09C1btvj7+6uqqvr6+i5cuNDe3v7EiRNjx46Nj48X3qgFaBlJiZ23t/f0\n6dMXLlzYu3dvVVXVsrKyx48f79mzZ9iwYVKLr13Ztm3bsGHDbG1tJ02apKur++DBg4iIiD17\n9tjY2NAdWkd18eLFkJCQlJQUa2vrqVOnenh4tGw/wcHB6urq27dvF95UsrOz27Rp09y5c3fs\n2IGfLqgX6okxeKKtRUVF9e/fn8rqhIYPH758+fKCggIbG5tff/2Vapw+ffrPP/989+7diRMn\n0hEpyA5Jid3BgwfnzJmzfv16Pp9PtTAYDE9Pz4MHD0oltnaHy+U+ffr00KFDt27diomJsbe3\n37NnT5cuXeiOq0Oqra2dMmXKxYsX/fz8Bg8eHBsbO3z48Llz5+7fv78FFSeJiYkuLi5ipUK9\nevUqKSnJysrCvXKoF+qJoa0pKCjU1NSINVJ3vRQVFbOysrKzs52dnan2qqoqNpst7RBB5khK\n7LhcbmhoaH5+fmxsbElJiaqqqp2dnb6+vtSCa4cUFRXnz58/f/58ugPpkCIiIoKDg1NSUiwt\nLdls9q1bt54/f25vb0+tffz48eDBg4cMGTJ+/Pjm7lldXT0/P1+sMS8vj8FgqKurizZmZGSs\nXr36zp07Hz9+7Nq163ff/T/2zjwequ//43cWs9v3nWxjTUVCEqFNSCF90oYUKaVSsrQvCkWr\nlKRQkTbqU8pWWUplKfuSXfZlLLPd3x/385uPL1KfYoaa56M/zLnn3PO+E/e+7zmv9/u98yem\nY/Ob8eDBg4MHDw5rtLKyMjQ0vHr1KktMYg7s4ImJRldX9+rVqy0tLYKCgozGu3fvqqurc3Jy\nvn371tbWNj09XVlZOSYmprGx0cDAgIXWsvk9+H7liY6Ojrq6upKSElVVVSEhIUjsyYbNf4JO\npzs7O5uYmNTX18vLy5eXl58+fVpRUZHh1QEAMGfOnNWrV0dHR//E+c3MzLKzs3Nzc4c2nj9/\nfs6cOTw8PIyWwsJCVVXVoqIiX1/fyMhIPT29NWvWeHh4/PR1sfk9gPTEwxr/BD0xO3hiorG2\ntlZUVDQ1NU1LSyOTyU1NTT4+PsHBwUeOHAEAwNjY2M/Pb8mSJfz8/CEhIY8fP+bl5WW1yWym\nPGOt2PX19a1fv54RGbBo0aLOzk49Pb2MjAxFRUWmmMfmN+H69eu3b99+8+aNtrY21CIiIvLu\n3bsHDx5YWloyuhGJxJ+LRNHV1V2zZqYMQd8AACAASURBVI2JicnevXsNDAw6OzsvXbqUnJyc\nkpIytJuHh8f8+fPv3bsH7fZaWlqam5sbGxuvXbt25syZv3B9bKY2f6yemB08MdEgkcinT5/u\n2rXLyMgICsSRkZGJi4uzsLCAOmzbtm3btm0stZHN78ZYjt2+fftev34dGRlpZGSkoKAAAICE\nhISBgYGvr+/t27cnyKDW1taXL18WFxdD75G8vLyqqqomJibDNtTYTC2ioqJcXFwYXh0AAJKS\nkuLi4jdu3Bjq2NXU1Px0RNi1a9euXLkSGBjo7e2Nw+Hmz5+fm5s7VAFJIpFSUlJSU1OHavgM\nDQ1nz579+PFjtmP3J/PH6onZwRNMQEBA4Pr160FBQZ8/fxYQEJCXl0cix3rysmHzi4z163Xn\nzp2rV68uWbKE0YJGo/ft2zdBb7FUKtXT0/PChQtUKhWNRhMIBAAAuru7KRQKFovdt2+fj48P\nO5HjFOXLly9r164d2rJ8+fKAgAAqlcpoqaysjIqKCgoK+rkp4HC4i4uLi4tLf38/BoMZ+avS\n2dlJp9NFRESGtYuKio7U57H5o2DridlMNHx8fHPnzmW1FWz+CMbS2HV2dqqpqQ1r5Obm7u3t\nnQhT9u/fHxkZGRQUVFNTMzAw0Nra2traOjAwUFZW5uPjc/z48d8+9cBvDB8fX2Nj49AWDw8P\nPB5fXFx84MCBqKioffv2zZgxQ19ff926db84FxaLHfUFQFBQEI/HFxYWDm0EQbCwsFBWVvYX\nJ2XzG/AH6om/fv1Ko9FYbQUbNmzGk7EcO1lZ2cePHw9rfPHixQQ9BaOiok6dOuXu7j40OQUc\nDpeXl/f29j527Nhvvy3yG7Ns2bIrV650dHQwWjo7OykUyrJly5KTk729vbOysoKCgh49ejRx\nAXooFGrVqlU+Pj4NDQ1QCwiCx48fr6+vZyeO+sPp6+uztbVVUFCwt7ffsWNHS0tLRUWFkpJS\naWkpq02bWNjBE2zY/H6MtRXr4OCwbdu2wsLCRYsW0en09PT06OjowMDAkXkBxoXW1lYlJaVv\nHdXU1Kyvr5+IedkwAU9Pz/v372toaHh4eCgoKHz69Ck4OJhIJEZHR0OFIpjD6dOnzc3NiUTi\nsmXL+Pn5MzIyysvLIyMjxcXFmWYDm0kIS/TEk4HfL3iiq6vr/PnzHz58gMPhs2fP3rJlCw6H\nY7VRbNgwlbEcOy8vr97e3uDgYKiqnYuLCw6H27Fjh6en50SYIisr++zZs3nz5o169OnTp+xQ\n3KkLgUDIzMw8derUjRs3qqur5eXl9+7d6+7uzuSHCg8PT0ZGRmxsbEpKSn19vYWFhYuLi5iY\nGDNtYDMJYbKeePLwmwVPZGVlWVlZcXNzm5qa0mi00NDQkJCQp0+fstPIs/mjGMuxg8PhR48e\n3b9/f15eXldXFy8vr7q6+sS9/ezatcvFxaWqqsrKykpeXp6LiwsEwe7u7rKysri4uPj4+J/L\ncMZmkoDBYHx9fX19fVlrBgwGs7e3t7e3Z60ZbCYVTNYTs5kIyGSyvb39kiVLLl++DL0x9vf3\n29vbr1mzZliGSzZsfm/GcuzCw8Pnz58vLy+vq6vLaGxsbHR2dh6pvft1nJ2dMRjM4cOHRzpw\n6urq9+7ds7KyGvdJ2bBhwwbSE7u6ug5tnDg98eThd6o88fr164aGhqCgIMY+ABaLPXPmjKys\nbGFh4UjHnQ2b35WxHDtnZ2dubu6oqKhly5YxGkkkUmJi4gRZ4+Dg4ODgUFVVVVJS0tXVBYPB\neHh4iESilJTUBM3Ihg0bNkzWE08eioqK1NXV+fj4WG3IOPDlyxcxMTGo0kx9fX1KSkpTU5Oc\nnBwej//y5QvbsWPz5/CdNIlLliyxsrLy9fX19/dnWg45WVnZ3/5FmQ0bNpMHJuuJJw+/U/AE\nPz9/a2srmUwODQ318/Pj5eUVExMrKSkhkUjV1dWsto4NG+bxHcfu0KFDy5cv37Bhw/v372/e\nvMnFxcUcs0bS1tZGoVBGZpcdFQqFwhbHjC9kMvncuXOJiYkNDQ0KCgrOzs5D13HZsJnSMFlP\nPHn4nYInDA0NEQjExo0b4+LiwsPD//rrLxgM5unpGRYW5uXltWzZMvbOD5s/hLHy2EHY2Nhk\nZWV9/vxZW1u7qKiICTaNysKFC0VFRX+ws7a2Nt+3AUGQkcmMzY/Q2dk5Z86cgIAAPT29bdu2\niYmJrVy5ctOmTay2iw2b8SE8PLy8vByHw+nq6i5atEhHRweHwzU2Npqbm7PaNDY/ChcXV2ho\naHR0tKysLBwOh0REoaGht2/fVlBQuHLlyo+chE6nh4eHa2lpcXJyKigobN++vb29faItZ8Nm\nfPmhinVqamrv3r1bvXq1jo6Oj4/PRNs0Kq6urj/ujT18+LClpeVbR7W0tH7cR2QDAMCRI0dI\nJNLnz58ZWhxHR8e5c+daW1svWrRo3Kdrb2+vqqqSlpYWEBAY95OzYTMS5uuJJwm/U/AEAAAO\nDg4uLi5cXFx79uxBIpGzZ8/Oz88nEonPnz8vKCj47nAQBG1sbF68eLFjx44DBw40NDSEhobG\nx8dnZWVJSEgwwX42bMaFHy1FzMPD8/jxYz8/v717906oQd9i48aNP95ZSkpqjFV3GAzGrjn7\nn4iPj/fy8hqqsNbW1rawsIiLixtfx668vNzd3f3p06fQx/nz5587d05VVXUcp2DDZlRYoidm\nOVMxeIJMJjc2NoqJiY2qDsRisbt27RpWS4ZEImEwmO+e+dGjR0+ePHn//j2RSIRa1q9fb2ho\nCJW7HBfj2bBhAmNtxT558mRo7lY4HH7kyJGEhARHR8eJN2w49fX1586dY/68bAAAaG5ulpGR\nGdYoIyPT1NQ0jrM0NTXp6+vT6fScnJyenp4PHz5wcXEZGBhUVVWN4yxs2IzKoUOHYmNjT58+\nbWlp2d3dzWpzmMTUCp6oqqpavnw5Ho+XkZEhEAjr1q0beQsyMDAYljCrq6vr0aNH30p9P5TH\njx8vXbqU4dUBAIBCobZv3z4R6b1+G1JSUpycnIyNjTds2PDbr3BPFcZy7BYtWjRSPmxpaRke\nHj6RJo1OWVmZu7s78+dlAwCAmJhYeXn5sMby8vLxrcQVHBwsKiqamJiora1NIBA0NTUTEhJU\nVFROnjw5jrOwYfMtJomemJno6elxcnKy2oofoq6ubs6cOV1dXX///Xd1dfX9+/eLior09PQ6\nOzuHdjt48OCzZ89Wr1798ePHlpaW58+fGxkZ8fHxbdiw4btTdHR0jIzPExER6ezspNPp43kx\nvwUgCG7ZssXMzKy7u9vAwIBCoVhbW69evZpGo40xKiMjY8uWLYsXL3ZxcUlOTmaatX8Uo2zF\nenh42Nra6unpeXh4fGvYmTNnJtIqNpMLOzu7wMDAFStWMLSJKSkpjx49ev78+TjO8vr16xUr\nViCR//5OwuFwW1vbsLCwcZyFDZsxmAx6Yjajcvz4cRkZmWfPnkG3CGlpaUNDQw0NjdDQ0KH1\nbFRUVFJSUnbs2DFjxgwAABAIhIODw8mTJ7FY7NCz0Wi0sLCwa9euVVRUiIuLW1pa7tu3T0ZG\n5u3bt8PmLSgokJaWhsO/H2j4pxEXFxcZGZmRkTFnzhyoZe/evXPnzg0PD3dxcRnZHwTBbdu2\nXbx4cdmyZTNmzCgtLV28eLGDg0N4eDj76x1fRnHs4uLitLS09PT04uLivjVsIhy7NWvWjHG0\nubl53Gdk84N4e3tnZGQoKyuvXbtWUlLy/fv3d+/e3blzp5GR0Q+egUQixcbGQuEXhoaGc+fO\nHdmHTCaP1MFgsVgymfyrFwAAdFI/ndRH7xug9/XRSf10Uj8ci8bOUochfxPZOJvxguV6YmYy\nhYInUlNTXVxchr744XA4Ozu7lJQUyLF78uSJr69vfn4+AACamprx8fGKiopycnLDXDoAAGg0\nmrm5eXZ2toeHh4aGxpcvX86ePRsXFxcWFhYcHBwREcFY3isuLj5+/PjmzZuZdZVTiejo6DVr\n1jC8OgAA1NTUNm/eHB0dPapjFxcXd/Xq1fT0dEaSndzcXCMjo7lz5/4nDT2b7zKKY1dXVzfs\nB+YQHx9PIBCEhYVHPUoikZhjRlFRUWlpqZiYmLq6+o/obf8E8Hh8amrqtWvXEhMTs7OzFRQU\nXr58+SOaFYj09PS//vqLRqNpaWl1dHQcOHBg5cqV169fR6PRQ7upq6u/fPly9+7dQxtfvHih\noaEx7IQgmULv66f39dP7BuikfnrfP04bCDX+0zJAZ3wk9Q0dDsdi4HgsvbcPhkFxmuhzms1F\n8PH892+Fze/DqHpibW3tR48esdAqJjCFgif6+/uHJVKtqKjIy8srKioKCgrq6ek5evSou7v7\n6dOnQRC8f/++nZ3dhQsXRi04ER0d/ebNm48fPzIy4Ts6Os6ePfv+/fuhoaFbtmwJCwsTFhYu\nLi4uLy9XV1ffunUrM65wqlFXVzfyFZ1IJN6+fXvU/jdv3nRwcBiaOnHWrFmbNm26efMm27Eb\nX8Zy7L4FhUKZiMoQAQEBJ0+eTElJERQUHHk0NTX1x9eHfo6SkhIXF5e0tDROTs7e3l4JCYmz\nZ88uX758QiedKsDhcCcnJycnp/86sL29ffny5atWrQoMDIQc5fz8/KVLl/r4+Jw6dWpoz23b\ntmlra/v5+e3fvx+NRlMolMDAwPj4+NTUVHpf/2DZl8Gy6sGyanJpNa3n3+zTMAQCjsPC8Bg4\nDgfHY+E4LByHQQoLwHFYOA4Lx2PhuP8/hMfCCTg4DgvAYAAA0PsHSGk53U/TOxOe4WdP51w0\nD6Oq8MvfE5spyajB3ZaWlpaWlsw3hplMoeAJZWXlV69erV+/HvoYEBDg5+eHRqN5eXnDw8OL\nioqgmwx01MjISEFBYdeuXYKCgtHR0ZAg2MLCwtHREQ6HP3r0yMbGZuhTjEAguLm5nTlzpqys\nTF9f39raOicnR1xcXFdXt7q6Wl1dPSYm5sdfZf8QBAUFa2trhzXW1tYKCQmN2r+2tnbkQ1xF\nRSUhIWFC7PuDGcWxk5SU/O4wEATH3RR3d/dnz56tWbPmyZMnzN9x7+zsNDIymjFjRnl5uZyc\nXE9PT2BgoK2t7ZMnT0xMTJhszO/E3bt3cTjc2bNnGXsoGhoax48fd3d3P378OKOxqanp3r17\ns2bNCgwMPH36tJKCAkd7tyaf8BsPf7G7KTVnYmFwOEpWAq0oQ5g7a6jfBkOjfs4wOBbDuWge\n50KDgcKy7qfpTQdDURIinIvm4edpwzHo749nM/Vh64mnUOUJNzc3KysrfX399evXJyUl+fj4\n2NnZxcbGvnz5sqmpydra+u7du05OTgsWLID6Ozk5bd++3cbGZs2aNWvXrq2pqdmzZ09UVNTT\np0/b29uHhr5CiIuLt7W1AQBw/vx5OBxeUlIiLy8PAMDg4OCOHTtWrFhRVlYGFaJlA2FlZbVv\n374dO3ZIS0tDLc3NzZcvX/7WAqeAgEB9ff2wxrq6ulGXctj8CqM4djExMdAPPT09hw4dMjAw\nMDQ0JBAIHR0daWlpubm5AQEBE2RNREREXFxcY2PjyHBLXl5exl/sRBAeHo7BYBISElAoFAAA\nnJycBw4caGxsPHLkCNux+xVKS0tnzpw5VBkDAICOjk5nZ2dzczP0H/3w4UP3jU7zFVVdlLU4\npdXRbd1yBB6sAhLOz4MVE0MryKAVZFDTJGETsbQAg2HUFTHqitTWjp5nrzpvJ3bcfECYr8O5\nyIBDbHRVAJvfBlbpidn8BEuWLAkODnZ3dz906FBvby8SiXz8+HFkZOSsWbNiY2P5+PgUFRW3\nbt26ZMkSDQ0Ne3v75ORkOp1+/PjxPXv2QGfYvXu3jo5OQECAtLT0p0+fhp2/sLBQRkZmYGAg\nKioqOjoa8uoAAECj0WfOnLl3715CQsKPhNb+OWzcuDE+Pl5TU9PNzU1ZWbmiouLcuXPy8vLb\nt28ftb+FhcWhQ4c8PDwYz/eWlpYrV664ubkx0eo/AxAEHz16RCAQwBGsXbv23LlzwxoPHjy4\ncePGkZ2nEDAYzM/Pb1ijra2ti4vLsMbHjx/jcDhm2TWJ6Orq2rNnj6KiIh6P19TUPHHiRHZ2\ndktLy0+cys/Pz8DAYFhjdnY2Ag5vKyjuSkytPXo+a+mGqhVuVbbu9TuOfg262hB1b7OB6caV\ntuNxKf8NOpnSk5rdsPdU1cqtTYdCSTn5II3GfDN+SwICArS1tVltxZ/FqPe6oTQ3N1OpVKbZ\n8+uUlJQM3TfX1tZ+/fo1FJ6PQqE4OTktLCwEBAQUFBSMjY0BACgsLBw6PDAwUFlZOSUlBYFA\nPHz4kNGen5/Pz88fHBwM5XWqqakZNq+Zmdm+ffuYcYVTChqNdvnyZQMDA3FxcT09veDgYDKZ\n/K3Og4ODhoaG/Pz8hw4dunPnztGjR4WFhXV0dEgkEjNtZgJLly7F4/EsNGCsyhMPHjw4ePDg\nsEYrKytDQ8OrV6+Ov4/JakZNNw9OwKbzJKelpUVXVxeBQHh4eCCRyMDAQEZ44Lx5886fPz+q\nHvlbmJiYHDt2rKCgQF1dHQAASmNL39v8rui4PEvn7gOhSBGBWiR4vb74bFwsWlqcEaNqI8a9\ncOHC4O7uYXLpiQbGgSQYziYYzh6sqOl5mt4SdA3By8VpNpewQBfBSWCmJWyYAKv0xJOHyR88\nQaFQcnNzKyoqoBqDNjY2LS0tUlJS9vb2tra258+fnz9/vra2Ng6HExQUFBUVffDgQXd395o1\naxITE8XFxYfVrZGTk2toaJg/f76/v//y5cuNjY3V1dVramoePHiwcuXKrVu3QpVh29vbh0mS\n2tramHwvmhLA4fBNmzb9YN1wFAqVnJx88eLFmzdvnjt3TkpKytPTc/v27dAuGZtxZCzHjkKh\nFBcXDys5UFZWNi7pJyYbWlpaly5dIpPJQ3/JHj16pK2tzUKrWMKRI0dwOFxWVlZPT4+mpqaa\nmtrJkycdHBy8vLxyc3MNDAxyc3OnTZv2g2czMDBYsWKFmYnJRSd39W4qorG1BaC9+1K6aIsj\n0WoJgo/nir9/OR8WI/c/JeBUVVWpVGp9ff2v3ExBEIyMjIyKiiovL5eUlLS2tnZ3d/9BqTha\nTgrttoZ3rVXvi8yeZ686byfh587Cz52FIcr9tKqPzWSDVXriycMkD5549eqVs7NzaWmpsLBw\nc3MzlCWYk5OzpaUlLCzMy8vr6tWrg4ODt27dunXr1oYNG75+/WplZUWn09PS0kAQHFlYsrKy\nEgp/9vX1XbZs2Y0bN0pLSyUkJB49erRw4UIAAISEhGbMmHHhwoXLly8zRmVmZn748OHKlStM\nvPTfEyQS6e7uzq41MNGM5dhByQPd3Nx0dHTweDyJRMrKygoJCTE1NWWafUzDyckpODh4xYoV\noaGhMjIyJBIpMDDw6tWrSUlJrDaN2SQmJlpYWJw/fz4pKQmDwSQmJqJQKFtb2/z8/Li4OEND\nwxMnTvx40mCQRru0wbUBKQp+rrtWWfigvlx0hvqpK4GamppQBz4+vsbGxmGjGhoaAADg5+f/\n6aug0WjLly9PTU3dsmXLunXrqqqqTp48GRsbm5KSgsfjf/AkCE4Ct5Upt8WCvtxPPc8yvh6/\nBAAAWkEGo66EUVNEK8qy0+BNaVioJ54kTObgibKysoULFzo4OLx588bZ2fnDhw8oFKqkpCQl\nJeXLly92dnby8vKXLl2ClPtHjhyRlpbes2fP58+fYTDY6tWr9+3b9/bt23fv3mlpaUEnbGpq\nOnPmDCOuVlNTk3EXGsqZM2fMzMza2tqcnJy4uLjS0tJOnDjh7OwMZTxmw2YKAH5bY9fa2mpl\nZTU0QBUGgy1cuLCpqYmp28Xjzbd0J58/f4ay8kAZO8XFxePi4phvHmtpbW2FXuK1tbU5OTmR\nSKSBgUFdXZ2Pj8+CBQtAEAwNDVVWVv6RU9Gp1J7UrDq3A1/WeLZH3af1kjo6OkYqMEpLSxEI\nxIMHD/4dSKfb2dnp6ur+yoVcv36di4urrKyM0fL161dpaekDBw789DnpA4N9ecUdtxObDoZU\n226rtvdoOhjScTuxL6+YTplKQiWWMJk1dn+UnnhKQCaTt2zZMnfuXBAES0pKAADIzc3dsmWL\nuLi4nZ0dCIIJCQkwGIyxor969eq2trahZxAXF583bx4KhXJycgoNDd21axcvL6++vv6PKLry\n8/MXLlyIw+HgcLiiomJ4eDiNrbVl88NMao0dPz9/QkJCW1tbUVFRT08PHo8nEonfSlHzG6Cs\nrJyenl5YWFhWViYqKjp9+vSRpXJ/e9atW4dEIl1cXIKDg3V1defPn5+RkWFnZ8fPzw9tv/5I\nKQiQRiO9etd19ymtq4dzoQH3clM4HgcAAA8wyvepoKDg5+e3YsUKZ2fnBQsWdHZ2RkRE5Ofn\np6Wl/cqF3L9/f/Xq1YzQNgAABAUFXV1do6Oj/f39f+6cMDQKq6GE1VACAIA+MDhYWj2QX9z3\nrrDz7hMYigOjJIvRIGI1lFCyksBoek02k5Y/TU/MYBJWnnj48KG/v/+nT5+oVKqkpGRaWlpj\nY6OwsPDMmTNVVFRu376dm5sLAIClpSUWi42JicnLy/P19VVQUBiqFHz48GFzc/ObN28KCgqu\nXbt26dIlCQmJ48ePOzk5/cjFqqurP336lE6nDw4OjixcwYbNJGcsxy4jI0NDQ4Ofn3/UAlC/\nJTAYTF1dHZL5/4FUVVUlJibu2rXr2rVr69evV1dXz83NjYqKkpOTg8Fg6enpwDdKQTD4lks3\nNn5+fnPmzDl58uTdu3e5uLjmzZsXGxsrISHxK9fS0tIyUh8pJSU1XrXp4Bg05OTxAgCtu3ew\ntGqwuJL05kPHrYcIAh6tKINWlmM7eVOFP0pPPJTJFjxx8uRJPz8/Dw+P4ODgrVu34nC4BQsW\nuLq6Quq61atX79279+vXr9BCAwiCeXl5p06dsre3P3LkSH19vb29PQaDefLkSWBgoLe3t5SU\nlISEBJFIrK+vnzZt2rduKW1tbUlJSZWVlZKSkosXL2ZUxIbD4Wyvjs2UBPz2ViwGg8nMzGT2\nGuLEM3W3JyaaxMREHA5HoVAcHByQSKSRkRECgYAEyLa2tmQyOSAgAIlEZmRkjBz778brXzuh\njVfm2z8UOzu7devWDWs8cODARO8GUju6et+8b70UXbvFr2qFW43j3q+nw7ufvaI0t07ovJOf\nybwVu2LFCgEBAX9//6SkpLS0tKSkJD8/Px4eHktLS1ab9kt89173+vXr7u5uptkzNs3NzWg0\n+tatW9DHnTt3amlpnThxgpeXFwaDvXr1CgRBHR0dTk5Obm5uVVVVGAyGRCJ37txJo9FevXql\nr6+PQqEQCAS0sAeC4KtXr6C3UCjjgampaWlp6bBJo6Oj+fj4xMTE5syZIyQkhMFgDh48yOQL\nZ/ObMam3Ym1tbSMiInR0dEbNA8JmXCCTyQUFBXV1dXJycioqKswvuTEUaJuVRqPduHFj3bp1\nDx48GBgYKCgogMFgOTk5wsLCCATixo0bw1Zw/12l6+zmXDTvB1fpJhp7e3s7OztnZ2d9fX2o\npaSkJDQ0FKoXPnEgeLjwujPwujMAAKA2tw4UVwwWV3bFPWm7HIMUFsAQp6GJctgZKkgB3gk1\ng81/4vLly05OTocPH4ZWhgAAgMFgZmZmQ0Mjx53W1taXL18WFxd3dXUBAMDLy6uqqmpiYsLJ\nyTlxkw5jUgVPpKen43C4VatWQR89PDyuXbuWnZ3d1dW1ZMmSlStXqqmpFRQUpKWlRUdHh4WF\nGRsbnzt3Dqohoa+v/+rVKyqVSqVSodKFHz58WL54yTobuwdXIkTFxUvamvfs2WNoaFhQUMCI\nynr37p2Dg8OxY8c6OzuDgoKQSCQMBvP39w8LC9uyZYujo6OIiAirvg02bH6asRw7aWnphIQE\nGRmZ2bNnc3NzDz0UHh4+wYb9ETx79szV1bWiooKLi6u7u1tbW/vKlSvTp09nlT3a2trQG/PG\njRsXLFgAlfqIiYlxcHBwdHRUUVExNjYeWlTnH5cu7imtYxK5dBCWlpabNm0yNDRcsWKFqqpq\nVVVVbGzs4sWLXV1dmWYDUliAICxAMNQBAIDa3NqfXzKQX9xx6wHk5GE1lDAaRKy6EpwwWb60\nn6axsTEnJ6e7u1tNTW0qBg8yWU9MpVI9PT0vXLhApVLRaDSBQAAAoLu7m0KhYLHYffv2+fj4\n/IGv093d3by8vIyXW0lJydTUVBcXFzqd/vz5czKZ3NzcjEAgdHV1OTg49uzZ4+PjM6ykDZxM\nASpqO4vKBz6XYwqLc8wcgC4ACLjWCIMJKkhHWa8/2nXlRuDZHccOQf0vXLiwaNGitra2iIiI\nmJiY5OTky5cv8/HxNTc3Hzt2LCAg4OLFi6tXr2b2F8GGza8xlmN3/fp1FAqFxWILCgqYZtCf\nQ3Z2trm5ubu7u4+PDy8vb21traenp7GxcUFBAZRpifkQCITDhw+7ubnV1tba2NhAwaqHDx/2\n9vb28fEZ2hOk0Ump2Z3xT+m9fVxL53OZG00el45BSEiItbV1VFRUcnKylJRUdHT08uXLWWUM\nUliA01SA01QfoNMHq+oGCksHCktbz0WBZApKVhKrrohRU0Qry025MrV0Ov3QoUMnT55Eo9Fc\nXFy1tbWmpqZXr179kRRxkwcm64n3798fGRkZFBRkZWXF+KLodHplZeWdO3eOHDmCQqG8vLyY\nYMmkCp5QUFCoqan5+vUrw6WePn36lStXNDQ0Lly4oKurKyQkVFhYiEAgNDQ0/metgU7vfZXb\n/TCZ/KUBgMPQspIYVYWj925ab3K0sFkBQ6OpLW39Hz6Tq2qdpFXwpe2t56J47Jch+XmKiooW\nL158/PjxqKiompqa6OjotLS00tJSPz+/hoYGNze39evXz5gxQ1lZGZonMzMzLS2to6NDVVXV\nxsaGrcBjM0kBv62xG5XBwcH3fUHTTQAAIABJREFU799P5O7whDNJNHZWVla2tv9TNYtGo2lo\naLC8cE1sbCxDRS4mJhYeHk6n0xlHyWTyteCQlJWbPltvub1hW0XhJxaaOtWhU6n9ReUdd5Ia\n/c5Ur9pebbutwSug9cKtrsSU/sJSWs8UqLRz9OhRHh4eRmKg8vLyefPmqaurj8xrM5k1dkzW\nE4uKioaFhX3raHBwsKys7LhM9N17XWpq6rAsISyESqWqqKhYWFh0dnZCLU1NTfr6+lCipdGh\n03teZta5HahevaM98t5ASSV98J9fPBERkZiYmGHd9+/f77poWcOek9Wrd7RHP1xsvAAq/9rb\n26uqqnr06FEQBM+ePauioqKionLu3Dl9ff3du3eDINjf329vb49EIufMmbN48WIhISEZGZk3\nb95MxPfAZqozqTV2o1JSUmJoaNjd3T2+/uUfyLt3744dOza0BQ6Hm5ubZ2dns8okCDs7Ozs7\nu5aWFiqVyggQg2hubva0tNkprNiPRSdM437yJuOd1qywsDAHBwdWWTulgSEQGKIchigH2CwG\nyZTBksrBsi/kL3U9z15RGr8CNDqSn4dDSgwlLY6SEeeQEuMQF4ZNjsUVAAByc3NPnz599+5d\nWVnZDx8+mJqacnFxycnJ3bt3T1paOikpydLSktU2/ihM1hO3trYqKSl966impmZ9ff0Pnsrd\n3b24uPhbR3fu3KmiotLa2iogIAAAQHFx8cDAgISEBOMjAAAkEgmKih15lPkf4+Pj4+Lirl+/\nXldXV1xcnJ6evm/fPiMjo6GX0N7eXllZWVZWNl1CWhrDSYGBIsbakqbzEJyE4uLigc+foFNp\namp2d3d//Phx6ERSUlK8vLyiO3f2ZrwrKS3dv945LTkZDoPR6fSlS5fq6Og0NzffunXLyMhI\nREREWlp62bJlmZmZAADExsbq6elB8RwAABQWFubn5x85ciQ6Opqbm5sJXw4/P39GRkZraysG\ngxEXF4cUO8z5T6GT+opLSwf6B0Q4MNxkGr2HVAWSB0E6f2s3obGN3tNXLy9KxaD46tu4aSBS\ngK9enI+M5hDj5ROSFEfwcBWXlrL894rJHwUEBFi7mjuWY9fT0+Pl5fX333+3tbVBLSAI9vT0\nKCgoMMW23xwQBCezjEZQUHBYC0ijJ7l7H5RQxy3QE9m0Sh+B8AaAM2fOuLi4GBkZ/WJ2EjYw\nFAdGXQmj/s/zHqRQKbWN5C/15JoGcmVN78tMWncvDIngkBRFSYmjpMU4ZCRQsuKsqmAbEhKy\nc+dOU1NTGo1mZWV19+7d69evp6WlycnJ8fPza2trf/jwYQo5dkzWE8vKyj579mzevHmjHn36\n9KmiouIPnmrWrFljVFIpLCxUVlaGggkAAODi4kKhUMM+8vLyjnGUyR+JROK6devev3/f1tam\npKTk4OCgr68/ODgIHQVBMDk5ubCwsKKiYh6SS6Xga5mcEMFYT8BAH0EgDDvV7t27z5w5g8fj\nodIUnZ2dDx48qK2t3b59OwCDEeZpi8iItOd9NkfxKxouD/U/XF3/pa6u7urVq1Dek+rqaiqV\nmp2dzc3NTaFQHj9+vH79eihQAwAAPj4+bW3ts2fP3rt3b8OGDRP95bS1tS1fvjwnJ2fdunU8\nPDz3799fsGDB2bNnf/rMIJVGQKKQMAq8sbWvupHe24ca6KPTqAP5lS0d3fTePpAbC0MiOksf\n99Y2AyBIU5GFceNJFQ00MgVOwHMoSsK5CahBKlJYAD4Nx8uNJXMgOQncyK/t1JY2BKkbAQN6\nCisGW7sABJw2SxkuxNuf/bkDh0Pw82J4cAgMB4pCA6k0GBIxGX7rxv0jhUKhUqkA64CBIPj4\n8WN7e/uenp5hx7Zu3Xrv3r3ly5dHRESsXbu2u7s7MTHR2tr68OHDU/opDofDfX19R+YjZTJW\nVlYYDCY2NpbRQqfTZ86cCWk+WGjYqNBJfc2nw5tzC3qX6s91Wc9oB0FQUVHR3d1927ZtrLNu\nYvn8+XNAQEBeXh4Oh9PX19+7dy9L8n7ROrvJX+rJ1fWUmgbyl3pKbRNIoyH4eFCyEigZcZSM\nBEpWgkNYgAlp86qqqpSUlK5evTpv3jwZGRmoFO/SpUuRSOSTJ08AAJg7d+7ChQuHBSCfOnXq\n7t27OTk5E23eTyAlJYVCoYYp8SHGWA/7aa5cueLi4mJvb29lZSUvL8/FxQWCYHd3d1lZWVxc\nXHx8fHR0NCM49FeYJPe68eL8+fP79u2Lu3FTs6SpP6+I8y+LYy8fX7p8uaioaFRNZ0xMzObN\nm0kkEgKBoFKpYmJisbGxjDB5iIbPJTm7DiuhCacKsyIr8rVnz/748SMMBpORkTE1NT1//jyB\nQLhz586iRYsqKytlZWWHjl2yZIm6uvrJkycn9KqpVKqmpqawsPD169ehy0xPT4ei/oOCgob2\npA8M0nv76L0kem8fvbeP9s8PJHpPH43UN/QQfWCQMQqGRiE48XACDk7Aw/E4BAEH58TBCXg4\nAYcg4OH4fz/+JwUwSKZQWztobR3Utk5qSzuttYPa3kltaae1ddL7B/6ZmgMJw6DhOCwch4Fj\n0DAsBo5Bw/HYf36AWgg4OAYNw6LhGDQci4HjsDAsZkJrOUIFRdPS0jo7O1VVVXfu3Dlq6bkx\nMDc3T01N7e3tnSALv8tYK3YPHjyIiopasGDB7du3fXx8JCQkWltbFy9e/Pnz5ynt2E0S9u7d\nO2/ePCi2i4uLq6GhwdPTs6amZhIWSKZ+bWs+fI4KABYv76Sd9R56CAaDEYnEmpoaVtk20dy4\nccPJycnMzGzt2rUDAwMxMTEREREvX75kfhZrBA8XlocLO/0fHTdIpVFqG8nVdeTqusGiyp6n\n6XRSPxyL4ZAWg5w8lIwESkoUNgEl3h8+fDht2jQHBwcQBMXFxePj4/fs2ePv7z9//vyurq7O\nzs63b98eOHBg3OedOEb9BSaTyZ8+fZqI6ZydnTEYzOHDh6Ojo4cdUldXv3fvnpWV1UTMO5JJ\nFTzxXc6fP39q6w6Vp2+pOKxYgBeHhMipJfP/fvYsIiLCz89vWOfe3t6QkBAEAmFtbc3BwdHZ\n2fn8+fMbN24Mc+zEVJQsH9+4u8vPE9RZICqz610ymUy2traeN29eQEDA3LlzhYSEPD09AQDo\n7OwcNkVnZ+ePF57+aZ49e1ZZWZmWlsbPy9ufV0Rp+KrR23dvvXvWi9TGI+cBhjPX0wfSaP+M\ngcHgeCwC8sY48XA8DsHDhZIQhRNw0L9/DhFwcAJ+gpwkGIqDQ0yIQ2yU0HI6qZ/a1gH2D9AH\nBul9A/S+frB/kD4wAA4M0kn99L4BsL2L3j9IHxikk/rAgUF6/wBIpvzPyZEIGBYDx2HhWAwc\ni4ZBPt8wjxCPhWMxMAwajv0PHmF1dfX8+fPhcPiaNWt4eXnT09O1tLSCg4Mn4XN5DMZy7Jqa\nmuTk5AAAQCAQUAZ2AQGBc+fOubm5mZmZMcnAyURubm5OTs7AwMDMmTMNDQ1/8Wxz5sx5+PCh\nq6trYGAgHx9fa2vrrFmzXrx4waqQ2G9BqWtqOhSKkhLj3Lyq4eLhurq6Ya+ttbW1BgYGrDJv\nQmlpaXF1dQ0ICPDw8IBadu/evWrVKmdn56ysLNbaBkMiULISKNl/X7GoX9vIVXXkL/Xkqrqu\n3EJqSzuAgKPERVAy4hwyEigZCbSsBJxzHJ5DTU1NUHgNDAY7dOjQli1b4HD4kiVLaDTa/fv3\nT5w4AQnef30i1jKhemIHBwcHB4eqqqqSkpKuri4YDMbDw0MkEqF84ExjslWeGAM6na5HRS8s\n78AY6fA72sJQHAAAwGCwuXPnfv78eWT/48ePNzc3FxUVCQsLQy05OTkGBgYWFhZLly4d2hMG\nh9sGHemsqO49cOYpj/2R4uy4+PisrCwXF5fdu3c3NjZOmzaNSCSGh4efP3+eMSovLy8nJycw\nMHAiLxoAAKCgoMB8lg4sMb024x29pxcpIogg4CWwBAqN2o1GChPlEP/vog312Cbaql8Bjsei\n8P9Rgkan0/sH6KR++sAgwyME+wbo/QP0gUFwYIBO6qf3D4LtXfSBQXr/mB4hBg3H4+BYzL8L\ngQQcwyOMvXbVVmn6/oMH0NxccDx22wbHmwn3Nm12Wbp0KVRUc0owlmPHy8tbUVEhIyMjICCQ\nl5cHXZW4uPiof0W/Nz09PY6Ojvfu3SMSiSgUau/evXp6ejdv3hQXF/+V0y5atOjz58/5+fm1\ntbVycnIaGhoTlKD4zZs3hw4dys3N5eDg0NHROXz4sJqa2o8MHCz/0nz0AlZNUWD7ehgSsWDB\nghMnTujq6jI2rR4+fFhYWGhhYTERZrOcp0+fEgiEobvMSCTy4MGDampqNTU1TH4GfxekED9S\niB+n808eRDqpj1xVR66uI1fVk9JyOm89BGk0JD/Pv+t5MhJIYf6f2LoVExOLj4+Hft64cSMC\ngfDy8tq9ezf00cnJ6eTJk5NZPzoSVumJZWVlh70mMRkODg6OCVjTHXfo/QNtF255qurkE0Vr\naB1Nhw7Ky8svX76cm5sbqpzh7+9fWloqICBgZma2bNkyAADi4uI8PDwYXh0AALNnz7a2tr5z\n584wxw6CR07mo55Sc8yj0zOMQjdvF3JZDcdjAQCQlZXl4OBwdHT09vbu7u7etGkTLy9vWlra\ngQMH7OzsdHV1J+6qaZ3dpIx3iz432wmrDhZX8KxYiJ+rBTlt9fX1u33dl94I5fn/VCy/OXA4\nHI/7maRaQz3CgUF6/8D/eoSDdFIfvX8Q7Oim9w9QSf16ZKS4kHxnaBQ4+E85QUMAeLt4PenA\nuSZpSTgXAcHDheAkoInTsJqT95sfy7GzsLBYs2bN69evTUxMtm/fDoKggIDA+fPnJ9vzjAm4\nuLjk5+e/f/8eKlDz5cuXNWvWWFtbZ2Zm/qIrhsFgZs+ePXv27HGydBTCwsJcXV0dHBwuXrxI\npVJv3749Y8aMhIQEc3PzsQf25xW3nLqC05spsNkegMMBAAgJCTEwMJg1a5ajoyMPD096enpk\nZKS/vz9DU/yb0dTUJCUlNey/GHrDaWxsnOR/CHA8DqOmiFH7R4YPUmmUmgZydR25un7gc3l3\nUhq9rx+OxaBkxFGyEihpCZSsOIekGIzj+5HylpaWu3fvvnz5souLCwAA69ats7CwMDExwWKx\nDx48YKT1n0Ls27fv/v37w/TE69atO3z4MKtNm1gmVeWJb0Gpa/oacAUA6dvLs188vKKioiIq\nKnrt2rW9e/cGBgbev3+fSqWqq6tra2s3NDTY2toaGxvHxcU1NTWNdJqnTZv29u3bb00kJCKy\nJ++1Z1ho58Xohp1H+Tatws1Sq6+vp1AoixYtMjQ0hFKNQukCvL29t27dOhHXC5IpfTl5vWk5\n/XnFSH4elKayyYG9Cf6pokPkHzExMSIiIj8eZPPn8l88wurqakNZ2erqamlpaYBOp5H66F29\ntB7SFa99ilicpQaR3tNL6yZR6pvpZPJUdexOnTrV0dGBRCK9vLyePXu2YsUKAAAIBMKtW7eY\nZd6koKmp6fbt2ykpKZBXBwCAtLR0TEyMjIxMVlbWJL8zdnR07Ny589y5c5s3by4qKvr48aOd\nnZ2wsPDmzZurq6tHVYtDkDLetp6/ybVsAe/qZYxFHSUlpaKiokOHDl27dq29vV1NTe3vv/82\nNjZm1tUwGzExsS9fvtBotKEipPLycgAAfnGxlvnAkAjUNEnUtP/XmIMg9WsbtJ5Hrq7ry8mn\ntnbAEAgOceH/X88TR8lKjrqnIyUlFRoa6ubmdv/+fSMjo87Ozlu3biEQiISEhKno1QFsPfEk\nhpT5oe38TYyG0kMc5fW1Ug4ODiUlJU9PTwEBAS8vLyjRUlBQ0Pbt26FF4oqKCmNjY39/f1FR\n0crKymFnq6ioGEPrsmDBAjgcHpJwZ++pvR0xj74GhGE0iIGFmUQiESpNm56eTiaTu7u7ocQW\n4wwIDhSV96bm9GV+AAAApztD5IA7RlkegMFmvHm2ePHi06dPm5qa9vT03Lhx4+jRo5cvX54q\n4sipgqCgIBKJrKyslJaWBuBwBCcBwUngAICE8kJnI10em8WsNvCHAX8sQTGVSs3MzExNTW1v\nb5+4rHrM4b8mKE5JSUEgEDQajdFCo9EeP34sICBgY2OTlZU1ckhpaemNGzcuXLgAFa5mIfHx\n8dzc3K2trX/99RcMBhMXFxcVFYWWoNLS0r41qvNBcpWNe9fjFCZaOhlpbW3l4uI6fvw4o2Vw\ncNDc3FxfX5+FVk0QtB5Sf35x18MXLSGR9TuOVttuq1rhVuvi03ziUsftRFJOPqW1Y2j/T58+\nOTo66ujomJmZHTt2jET6TjrlyZygGIlEVlVVgSAoJCRUUVEBNWZlZc2aNYuVZv0y373XNTc3\nU6lUptnzn6BTaW2R96ps3Tvj/wbpdHV19YMHD+bl5UHadgAAsFgsHo8XFhYeNvDq1auCgoI+\nPj7S0tKNjY2M9szMTBQKlZSUNMakd+7cQaFQixYtCggIWDXf5PrcZRXWrpd0l1jMnH3s2LGa\nmpqJuFJyfXNHzKPazb5VNu5NR873ZrxlpFmG6O/v9/HxYSTUkJCQuH379kRYwsbCwsLQ0LCv\nr4/REhERgUKhKisrf/wkkzFBcV1d3aguIPTmSiKROjs7WasLYTJoNJpOp/f390MBUOXl5fb2\n9kVFRRQKJScnZ+7cuVZWVhEREVDBRwqFsmPHjkuXLklISGCx2IqKCn19/evXr0O5lJhPR0eH\noKDgxo0by8rKsrOzCwoK7t27V1JSUl5evnXr1vz8/OEDQLD9enzPs1eCOzZAlez/ZPj5+cPC\nwtatW/fs2bOFCxeSSKTbt2/39PS8fPmS1aaNP3ACbkQivQZyVf1gVW1/XnHXg2RwkIzg5kTJ\nSqCmSaJkJRWnSf42NaP/WD3xpA2eoHX1tARdo9Q0Cnu7YqcTAQAoLi7W09PT0NBISUnp6+tr\naWmRlJRUU1Pr6+sbNlZDQ6OlpcXd3T0lJUVFRWXDhg1SUlIfPnyIjo52dnZevHisdRcbGxsN\nDY3Dhw9DYbZ5srJXqgq2KM06I6b9+knW6rOX8vs7TU1Njx49OkaK6R+E3ttHevWuNz1nsLQa\nJSPOtWQ+3kALwcM1sicUQ+3r61taWorH42VkZKaWhnUKERISMn/+fBUVFQcHB0hM+fjx47Nn\nz04tn2cUx+5HijyCIDgBxkwWetNykEL8GOI0aAtyxowZnJyct27d2rRpE5VKtbS0lJKSioyM\ntLW1TUlJ6e3tXbFixdatW69fvw4AwN69e+/du5ecnDx//nwAAL58+bJ+/XoLC4vc3Nwx9j0n\nDmlp6ZqamvLy8uzsbC8vr/fv32/cuFFDQ+P48eMFBQUrVqyIi4tj3CNACrU1JLI/v1jY1w2j\notDX11dUVIREIolEIho9xWqYjhd2dnazZs0KDAxMSEjA4/F2dna7du3i4hrl5vubAeNAoqZJ\noaZJEQBdAAAAOp3S8HWwspZcVTtYUtXzNIPe1w/HY1GykqhpkmhZSdQ0SQ4xISZk0ZsI/lg9\n8eQMnhisqGk5dQXBzSkasAcp+I/TicPhurq6GD8zXpVHZoJtamrCYDACAgJpaWlXr1598ODB\nixcvFBQUHj16tHDhwu/OrqSkRCQSYTAYAoEoKiri4eG5Du86mfp6q9rs63PNizrbXrR1z5ox\n43FSEnST/6+AVFr/+0+9adn9uYVwTgLeQIvfxR4l/X1pBwqF+sGgNzY/jbS0dGFhYVBQUGpq\nakdHh5qa2rt37/5rHjuWM4qrERMTA/3Q09Nz6NAhAwMDQ0NDAoHQ0dGRlpaWm5sbEBDAXCOZ\nTV9Oft/bfAQ3J36OJk53BkZZ7vDhw9u3b//69auEhER5efnGjRs3bdq0detWyIs/f/78kiVL\ngoKCMBjMxYsXb9y4wfiDl5aWvnPnjpSUVHJy8qJFi5h/LfPmzePm5u7p6Xn69GlpaWlubu7l\ny5cZGTUTEhJ27twZHBwMAACd1P/1ZBi1uUXk8A5ARMDf3//UqVP9/f0AAPDw8Bw4cGDbtm1/\n5muivLz8xYsXWW0Fq4HDOSREOCREgHnaAAAAIEhtbhusqiVX1pIra0kp2bSeXtwsNaF9m1lt\n6M/wx+qJJ6FEuDctp+1SDF5vJv/mVUOzMBoZGV2/ft3a2ppxF2pubq6rq+vr6/v48SPj0Uuj\n0c6cObNkyRJou3bTpk2bNm36TwZUVVUdOXKEj49PXl6eg4PDxMRk//79RCIR9pf5X6eCds6a\nt5nM52S+8ZH/ab0oRTgaBY0CyRT6IJneNwAODIJkMr1/kN4/AA6SwUEyndQPksn0QTLY1w8A\nwGBVHThIxulMF/JywU4nAhOTCYHNT4PH4319fYflV59ajOLYMTKer1u3bu/evW5uboxDW7du\nPXTo0JMnT1auXMkkA1mB0G4nWldPX3YeKfN994EMBDfnXzrTp50Mcg88UV1TAwDAsWPHfH19\nGRkLDQwMqFRqaWkpDofr7+8fFkwgKCiooaGRl5fHEscOhUJ5enp6e3sfO3Zs+vTpJiYmtbW1\nQkJCDx48MDQ0lJCQCAkJUVdXX2tp/fXoBRAERY56IgV4HR0dk5KSIiIilixZQqVS7969u3v3\n7s7OTn9/f+ZfApvJCAyGFBFAiggw9uuprR2stehX4OXlZSRwKSwsfPv27eDgoIaGBqPcFhsm\nANLoHVEJ3U/S+NZacy2dP+zokSNHdHV1LS0tt23blpyc/PTp05KSEgKBoK+vP2/evB07dujo\n6Hz9+vXcuXM1NTVQgdefw8/PD4fDbdiw4enTp2vWrOHi4hITE2tsbCwoKChvb+ky1loVFHxv\n/5EZkXcbdh4bORyOx8HQKDiKA4bDwjFoGJoDjkHDcBgknhsmIggAAN5AGzdHE47F/LSFbNiM\nzXcqT4ysRWNlZWVoaHj16tWJtIr1ILg5Oc3mcprNpXX19OXkkd58UPtUlm76VzEH/ULG87gP\nWYghr5JQNTYsFotCoQAAGBgYGHa2gYEB6BBL+Ouvv7y9vREIRH9//5cvX7y9vX19ff/++28a\njWZraxsdHR1+5IRZThVSiF/IaxMcjysvL4+IiHj16hXjbX7Tpk2cnJwbN27cuXMnJycnqy6E\nzWQGKTD1fCC2nnjyVJ6g95C+Bl2jVNeL+G5l5OgZiqqqanZ2tqurq5mZGQiCKBRKV1eXi4sr\nKSlp5cqViYmJp06dEhYWNjMzS0xMHJq+7r/y7NkzLS2t7OxsHA7X3d1No9HExMRUVFSSk5OJ\nRGJXVxeAQQtbL5rmsCInLWOmhgaU8AyOw8JQHDA0y+7zbNgwGMuxo1AoxcXFUIp5BmVlZVAV\nij8EBDcnp+lcTtO5tO7evuw8ueSMU0o6X9bv4dTSwGmpYTSICG7O69evCwkJQfHwQkJCsbGx\nO3fuZJyhoKCgsLCQhbUZJCQkNm/eHBYWhkAgVFVV9+zZExMT4+npuWPHjsbGxsXqM10AvkFh\nPnEfN2jjIysrS0REZNgejbW1tYODw/v373+95AYbNpMEtp54kgRPkKvrvwaEwXFY0ZO7kULf\nzJijrKwsLi4+c+bMmzdvKikpQXuyd+7cWb16dUFBgfI4pert6emxsrLavn27kZFRTEyMn59f\naWmpiIhISUlJREREYGCgqalpfn4+HA6XJiqOGuvAhg1rGcuxW7x4sYODg5ubm46ODh6PJ5FI\nWVlZISEhpqamTLNv8oDgInCa6nOa6nu4bPmakebGgxX78AnWP9iGgvV8/nh1tw+CRoehUUeP\nHnVzc+vv71+7di0nJ+fz5889PT2tra21tLRYaPyZM2dKS0tfvHgBgiA3NzeBQPDx8TExMdls\nbhUzf8W9soKFh9wYchYqlToyVIKDgwMOh4/UKbNhM3Vh64knQ/BEX3Zea+gN7Cw1Ade/xl7x\nolKp8fHxDg4OkZGRUOUJPj4+W1vbU6dOxcXFjZcoSl5evr29PTIy0tXVlUQiubq69vb2Pnr0\niEgkXrp0qa2tzcnJacOGDUuWLBESGqUQKhs2rAf8dh671tZWKyuroWn3YTDYwoULm5qamJiQ\nZfz5r3nshkGhUM6cOSMgIICAwdR5BX3nLizY6lu9yqPK1r1+98n2qPuJZy5Kif+T1BSNRnt7\new9NisMq+vv7obr11tbWAQEBTk5O0wVFP610fbvrMB6HG5qE7P379zAYrKSkZOjw5ORkBALR\n3NzMdMPZ/CZM5jx2a9euPXfu3LDGgwcPbty4kSX2jBe/eK9jAmVhtypXbn0fcKGrs/O7nT09\nPQEAkJeXX7RokYSEBD8/f1xcHAiCdnZ2mzdvHi+TQkJCeHh4Xr161dzcHBAQoKKiAj0EYTCY\nvLy8lZUVLy+vpqZmQ0PDeM3I5jdjMuaxY8DPz5+QkNDW1lZUVNTT04PH44lEIvsdBYlEbt++\nffv27bW1tTgcDkq1Dw6SB4orBvJL+vOLVarqMozsaDJiAxJCkoa6BEXZyRD3hMFg3r17N23a\ntPT09KKiIgPJabGG1k0ChNU3z7ts3ozD/VtgYMaMGSYmJjY2NlFRUVCxjYyMDEdHxw0bNrD/\n99n8lvzJemJWUVP9JX2HnzaA8y/OvvvgMv6Y99GjR11dXb/VPyIi4tKlSygUKjg42NzcnEql\nnjhxYvXq1Xl5eVVVVSoqKqOOSk5OPnDgQF5eHlQm+9ixYzNmfCc9p5ubW0lJiaGhoZ6enoSE\nBJ1Ox+Px3t7eMBisoKAAh8MFBwevWbNmMggT2bCE+vr67u5uKGia1baMzvczq4EgKCgoCFVQ\naW9vb29vBwCAObVBu7u7o6OjGxsblZSUVqxYMdlSqQ0V6MDQKOx0Zex0ZV4AoPeQ+gtLB/JL\nUJ/KWp9ntWMxaEVZtJIsWmkaWlFmooOhWltbu7q63r17l5WV1d/fr6mpuXbtWshvQ6FQr169\nsrGx4axv9VCSuFf12TdSFAMzAAAgAElEQVQ+FcnBMTJZV2xsrIuLy/Tp06WlpclkcnNzs6Oj\n49mzZyfUcjZsWMUfqydmVfAEmUzO2bxXFccFuq66ZXLxOoVy9erVHTt2oFAoJyenUYdcvHhx\n27ZtVVVVR48eNTY2xuFwPj4+T58+9fLyys3NvXbt2sghwcHBe/bscXFx8fb2HhgYuHv37uzZ\ns+Pj4y0sLMawDQ6Hnzt3bt26dUlJSY2NjU5OTvb29mMUImPz5/Do0aMdO3ZUVFQAAIDBYHbs\n2OHj4zN0WWSyAH57K/bNmzdycnLfGjXuSEtLZ2ZmMj5WVVUNrdZAJBLHax+QOdsTZDL59OnT\npnP07VVnnV+48sOGXdW226ps3Os9j7Veud2bnkNpbh3fGR8+fMioCQ2DwVRVVW1sbMTFxaWl\npd+9ewf16Wpr95tjUm7t+sjNKyIioqioKCwsDI1GX79+feQJCwoKIiMjo6Ojy8rKxtdUNn8g\nk3krdsWKFQICAv7+/klJSWlpaUlJSX5+fjw8PJaWlqw27Zf47r0uNTW1ra2NafYwiImJWas8\ns63yy9DG48ePS0tL0+n0UYdwcXE9fPiwvr5eTk5OSkrK398/JCQEyiR87Nixkf2bm5sxGExk\nZOTQxv3794uLi4+sotbW1ubl5TVv3jwtLS0nJ6fS0tJfuz42vyG3b99GIpF79+4tKytramqK\njY2VkpJatmzZyJ6TeivW1dVVRkZm//79zEnm9OXLl6GJQry8vAAAyMzMnD59ekZGxrp16/bv\n33/lyhUmWPLr9PX1GRsbV1dXu7u7y8nJlZaWmoSEzNKYHnfmPL2iZrCkqu11Lr2HhODjxihN\nQyvJohVlUXJSsF94b7558+aGDRs8PT0zMzO7urocHBwCAgKwWGxpaamLi8vKlSuLi4vB0i81\npy9bCknzu681n68DDSQSifX19SdOnFi3bt2wc6qpqbETnbP5E7h8+bKTk9Phw4fpdDrUAoPB\nzMzMLl++zFrDJhpWBU/k5ua2yorwyf7PXoG5ufm+fftaWlpGlXxAlSfExMTy8/ODgoJevHjR\n2tpKJpONjIz27ds3sn9KSgoej1+zZs3QRg8Pj6NHj+bl5c2cOZPRmJ+fb2JiIiQkZGdnh8Fg\nnj9/rqamduPGDTs7u3G6XDZTHhAE9+7du3///gMHDkAtdnZ2mpqaampqGRkZLMx6MSpjOXal\npaVfv36FCqQyn4yMjBMnTsyZMwcAADMzs4MHD44UwUxaQkJC6urq8vPzGXcoR0dHTU3NGxkv\n/kn4DIKUhq+DpVUDRRU9yW/aIxNgHEi0nBRaWQ5DlEMTp8Fx2B+fjk6ne3l5HTp0aMOGDQEB\nAZmZmTo6OoaGhrNnz965c+eFCxcWK2uU7TpGaO4o56A+xPVd+3+vDmLx4sUHDx7s6+ubjEvK\nbNhMPH+snpiFlSdAEAQAgE6nJyUlffjwAYFAQIKfb5W3MTY2joiIWL16NbQJ6+Pj09bWpqys\n/C33q7OzU1BQEP6/+mZ+fn4kEtnR8T/JtB0dHQ0NDWNiYqCqj7t37z5x4sSmTZtMTU1ZngiG\nzSShvr6+qqrK3t5+aKOSkpKWllZ6evpUcuwEBARYUt4Uore3d6iST11dvbW1lVXG/FcePnzo\n5OQ09MEgLi6+fv36+/fv/+PYwWAc4sIc4sIEozkAANB7+wZLKgdKqgaLyrsfpYBUKkpaDKOi\ngFFXwqjKf9fJKysra2hocHBwqKysBEEQUgdraWmpqKh8fPy3CIzzhs6SJipZKcg74Nih3tbh\nKUuoVCoMBoNPgggPNmxYCMg6PfGfhra2dlhYWH5+vrOz86dPn7S0tKhUanZ2NhaL/ZZjd/Dg\nwdmzZy9cuNDLy0tSUvLjx49+fn6SkpLr168ftb+srGx1dXVXVxc3NzejsbCwkEqlDpUYVVVV\nvXv3LioqaujDbvfu3adPn/7777+HPcjZ/LEMDg4CADBy7QOHw0GHJhVjPcudnJwYRUWZz/Tp\n08vLyxkfi4uLp5B8tbW1FUpePxQJCYmWlpZR+8MJOOwsNd7Vy0QO75C6cUrksAdebxalvrnl\nTETNeq/Gvac6oh/255dAKc5HAlV0JRAI0C0M8oAp9c0HZDQNP9bCEIgNBSmlOkocEiI6Ojov\nXrxg1NKGiI+PnzFjBgbDLnHD5g8lMzNTXl5eUFCQSCQq/y+sNm1i+fr1K41GY/68y5cvl5GR\n0dPTA0GwrKzsyZMnNjY2MBhMWFh4pCYEQl5e/u3bt3g8funSpUQi0dnZeenSpS9fvvxWUZ/5\n8+eLiopCWUWhlvb29q1btxobGw+NkmlqagIAYFh9EQQCISMj09jYOC4Xy+Y3QFJSkouLKzU1\ndWhjd3f3u3fvoDxik4rvVJ4IDw+/e/euhoYGFvs/i0bh4eETYY2vr6+0tDQnJyeBQODi4jp9\n+vTq1asBAHj9+rWfn9/SpUsnYtKJQFJSsqioaFjj58+fh4aDfAsYBxJDlMMQ5bitzUAqbbC0\naqCgZKCgtPvBC5BORwrycUiIoCRFOSREOCRFOcSF4ViMvLw8Go1OT083NzeXkpK6GRSyUVql\n99U7CqmvfOXiLk5MZnX5LRMTAABWrVoVEBBgZmYWEhKipaXV0dEREhISGhp6//79Cfki2LCZ\nCjBZTzx5YFXlCQ4OjuPHj5ubm799+1ZBQWFgYICXl/fixYszZ86cOXNmVVXVqJXc5OTk7t+/\nT6FQWlpaREVFv7W2B4FCoe7evbt8+XIlJSVjY+PBwcHnz5+LiYklJiYO7SYqKgoAQFXV/7V3\n3wFNnevjwN+EQCBAIIS9kS1bFBQH09WriAUFRdtqS1Gpo2prRa3iqANHLw5urQtRRBkuWlFx\nUAWL1oUIAjKUDWHPkHF+f5zvzS83QESBJITn8xfnPSfvec5BX56c844S/kezHA6ntLR0GD1K\nAENNTk4uLCzshx9+0NfX9/T0RAhVV1fj7+WED7IWC2GJXUxMjJKSEovFevr0qQhCCQoKamlp\neffuXct/8eY3OXjwoKqqKq/TouQLDg5etWoVl8tlsVgGBga+vr6NjY2xsbExMTEfVQ+BJCM/\n2kx+tBkK/Be3i8kqregur2KVV3eXlrc//Idd34QQwlO9s/OWpu86ZJHzPnXmInJJU3bpw/M1\nxbffFczPGXXkyJGff/4Zf4JIJpPT0tJWr149fvx4WVlZFotlaGiYkJAwLJLm7u7uCxcuvHr1\nSk5Ozs3NbdasWeKOCEgJ8fYnFiMxrjzBYDAMDAzu37//+vVrNTU1BwcH/P5TKJQ3b94IWaJX\nVla2nymXs7NzXl7eyZMnX758iT8pWLRokUD/ImNj43Hjxm3evDk+Pp63a9++fWw2e/r06QO4\nPiBttm/f3tbWNnXqVGNjYxUVldzcXFtb25SUFEmbiA0JT+zevXvXs7C7u/v169dDEQpveZ+e\nIiMjDQ0Nxdjh72O1tbV1dXX9+9//xofWh4eHI4SWL18eEBDwyXUS5clkq1Fkq1G8Em5HJ6u8\nurusilVePYnNNmGiB3/cqJElvOxovPwsCyFEJBLT09Pj4+P9/Px4n9LR0bl06VJlZWV+fr66\nurqVlZXEzrLILzs7OyAgoKmpafz48fi9dXFxSUxMxCeIBmAgxNufWIzEOHiCQqG0trY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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1**\n", - "\n", - "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." - ], - "metadata": { - "id": "6nEG7IN658fI" - } - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 1))\n", - "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", - "\n", - "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "3mvQ5Sv_G6Bi", - "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" - }, - "execution_count": 58, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV\nVcuv1+v1Z8+ebbh6AAAAAKCezAe706dPV7xL03R5/wmKogRBMN12dnZ2cnJq1PoAAAAAoJbM\nX4o1VpCXlxcVFTV58uTz589rNBqe50tLS48cORIXFxcREXHx4kUrVwwAAAAAZlmeYzd9+nQf\nH59ly5Z17txZKpUSQhwdHaOjo3/99VeZTPbuu+82fpEAAAAAYJnlYLd9+/bY2Fizp/r06YOW\nYgAAAAA2wnKwKy0tzcvLM3uqoKCgtLS0oUsCAAAAgPqwHOzatWu3dOnSU6dOVTp+8uTJH374\noW3bto1TGAAAAADUjeUNiufNmzd06NDIyMiQkJDWrVtLpVKtVpuampqSkkJR1LJly6xQJQAA\nAABYZDnYDRkyJDExcf78+YmJiSkpKaaDYrG4T58+CQkJ1U2/AwAAAAArsxzsCCG9evXatWsX\nz/PZ2dlqtVomk3l7e7Nsrb62wQmCkJqaevv27bKyMkKIs7NzaGiov79/kxQDAAAAYDvMh7N7\n9+5JJBJXV1fT7fLjDMM4OjoSQvLz88sPent7N3KR9xUVFc2fP3/t2rW5ubmVTgUEBIwbN276\n9Okymcw6xQAAAADYGvPBzsfHJzY2dvfu3abbNT9FeSOKRpWdnR0dHZ2amhoaGjp48ODAwEC5\nXE4IKS0tvXXr1qFDh2bPnr1p06aDBw+a8igAAADA48Z8sBs5cmSXLl3Kb1uxnmrNmjUrMzNz\n48aNw4cPr3qW47iVK1dOmTJl7ty5ixcvtn55AAAAAE2Oss5426Pz8fEZPHjw999/X8Nj4uLi\njh07dufOnYb91itXrpw4cWJZWZlCoWjYZwYAAIBmR6/XSySSo0eP9uzZs6lrqczyPnYmHMeV\n39bpdCdOnDh37pw1Q2FBQUFwcHDNjwkPD8/JybFOPQAAAAC2xnKw4zhu8uTJcXFxprtpaWnt\n2rWLiorq2rXrU089pVQqG7nC+3x9fZOTk2t+zLlz53x9fa1TDwAAAICtsRzsFi5cuGLFioCA\nANPdyZMnp6amvvHGG5MmTTp27JjVNigeOnTob7/9tmjRIp1OV/WsSqWaM2fO1q1bbWRGIAAA\nAID1WZ5j17FjxzZt2mzatIkQcvfuXX9///j4+O+++44Q8vrrr589e/bcuXNWKLS4uLh///5n\nz551dHSMjIz09/dXKBSCICiVyvT09JMnT6rV6piYmD///LPBZ8Jhjh0AAACUs+U5dpY3GU5L\nS5syZYrp9p49ewRBGDVqlOluRETE5s2bG7G6ClxcXJKSkpYvX75mzZrExMSKc/5EIlFERER8\nfHx8fDzDMNapBwAAAMDWWA52FEWV3963b59cLo+JiTHdFQTBYDA0VmlViMXiadOmTZs2TavV\nZmRkmDpPODk5BQQEiMXi+j1nTk5OfHy8Xq+v4TF3794l1tquDwAAAKDeLAe7wMDAw4cPT5gw\nIScnZ/v27QMHDixPUcnJyX5+fo1coRlSqTQ0NJQQwnHclStXTp8+7e/vX7+uYgqFonv37lqt\ntobHMAxz9erVigEXAAAAwAZZDnajR4/+4IMPUlNT09PTlUrlW2+9ZTq+Zs2a1atXl9+1gmPH\njv3yyy/lyzXWrVs3ffr08v1NOnfuvGTJkqeeeqpOzymXyz/++OOaH7Ny5co9e/bUvV4AAAAA\nq7Ic7KZNm3bjxo0NGzaIxeIlS5b07t3bdDwhISEsLGzmzJmNXOF9iYmJsbGxYrF46dKlFEX9\n/vvvY8aMUSgUw4cP9/DwuHnz5v79+wcOHHj06NGIiAjrlAQAAABgU+rfeeL48ePdunVjWcvR\nsEH07dv3ypUrR48eDQkJIYQEBQXxPJ+UlFTeyvbEiRN9+/YdMGDAtm3bGvZbY1UsAAAAlLPl\nVbG17TxBCCkrK7t8+XJxcbHpblRUlNVSHSHk7NmzY8eONaW6kpKS1NTUd955pzzVEUJ69Ojx\nyiuv/P3331YrCQAAAMCm1CrYHTp0qFu3bk5OTh06dDh+/Ljp4PPPP79///7GrO0hHMfJZDLT\nbalUSlFU1XUbfn5+NS+DAAAAALBjloPdyZMnBw4ceOPGjdjY2PKDeXl5p06dGjx48JkzZxqz\nvAe6dOmyfv16tVpNCJFIJE8++WRSUlLFB+h0us2bN4eFhVmnHgAAAABbYznYzZs3z9vb+8qV\nKz/99FP5QQ8Pj+TkZG9v708++aQRq6sgISHh5s2bMTExe/fuNRqNS5cu/fnnn9esWaNWqw0G\nw4kTJwYPHpycnDxp0iTr1AMAAABgaywHu+PHj7/xxhtVr3t6enpOnDjx8OHDjVNYZUOGDFm1\natX169djY2OdnJzGjBkjFotfffVVJycnmUwWFRV18ODBd955Z/z48dapBwAAAMDWWF79UFJS\nUt3evz4+PkqlsqFLqta4ceOee+65tWvX7tu379q1a4WFhRKJRKFQtGrVKjo6+tVXX+3atavV\nigEAAACwNZaDnbe399WrV82eOnz4sK+vb0OXVBMvL6/p06dPnz7dmt8UAAAAoFmwfCl28ODB\nK1asOHv2bMWDRUVFH3744Y8//vjss882Wm0AAAAAUAeWR+zmzp27a9euHj16dOrUiRAyc+bM\nmTNnXr16VafTBQQEzJ49u/GLBAAAaHq5p7mMfYaSFJ6VkxbtmOBhYpkH2oiDbbE8Yuft7X36\n9Onx48enp6cTQs6fP3/+/HlHR8c33njj1KlTXl5ejV8kAABAUxJ4cvwjze6RyoJLnFMQLXKg\nUjbqt/Qry9hvaOrSAB5Sq9YRnp6eK1asWL58eW5ubllZmaOjI/IcAAA8Pi6u0KXuMAz6XeHx\nBHP/kEDOf609NEn93J+OzsF1aOME0Kgs/yxu27bt8uXLhBCKory8vEJCQpDqAADg8cHpyaWV\nuu4fSh+kOkIIRbq8LfXszl5aqWu60gAqsxzsRo4cuWPHDiuUAgAAYIOKrnAGpRA4WFT1VKvB\nopyTRuuXBFAdy8GuV69ehw4d4nneCtUAAADYGn2ZwIiJSG5mnYTEldKXCtYvCaA6lufYrVu3\nbtq0ac8+++zYsWPbtGnj7Oxc6QEhISGNUxsAAEDTc/CiOD1R3+MdvCuPhpTd4eVVDgI0oVpt\nUGy6sXv3brMPEAR8WAEAALvlEso4BtJXV+sjZkgrHue0ws31+lZDzFyiBWgqloPdyJEjxWKx\nSCSiKOzWAwAAjx+KdJ8lPThBLZJT7ceJGSlFCFFm8McSNLyRtB8vaer6AB6wHOzWr19fmycy\nGAybNm0aMGCAu7v7I1cFAABgQ/z7i3ovdTj+kSZ5idY5iDGoBGUm79mNjf1VLnbCqAfYkFrt\nY1cbKpVq1KhRf//9d69evRrqOQEAAGxE4CBRyz5s3lmuOIUXyUmLdkyLdozlLwOwrgYLdgAA\n9aPK5i8s0+UcN5am83If2r0z0/ENSYv2eMsEm8PKKJ9o1ie6qesAqB7W8gBAUyq4xG0frCy8\nwoXHS55eLe/ytoTTk50vKtN2olMTAECdYcQOAJoMbySHp6pb9mF7LXKg/hmhC35JfGml7uj7\nGs8IpuruEgAAUAO8aAJAk8n626jK5nvMlVEPX3ft8B+J3Je6tRmDdgAAdYNgBwBNpugq16I9\nY2ZRIUW8e7CFV7imKAoAoBlrfpdiBUFITU29fft2WVkZIcTZ2Tk0NNTf37+p6wKAOuONhGbN\nbxVBs0RArgMAqKPmFOyKiormz5+/du3a3NzcSqcCAgLGjRs3ffp0mUzWJLUBQD04B9FXfuB4\nA6GrbN1fcInz6tGcXqAAAGxBs3ndzM7Ojo6OTk1NDQ0NHTx4cGBgoFwuJ4SUlpbeunXr0KFD\ns2fP3rRp08GDB11dXZu6WAColZZ9WYomF7/RdX7zob37M/4y5J3nnvwUn9MAAOqm2QS7WbNm\nZWZmbty4cfjw4VXPchy3cuXKKVOmzJ07d/HixdYvDwDqQSSnei6QJU5Wq7L40JFip1a0Kpu/\ns9dw6Rtd57ekLm2wlR0AQN00m2C3c+fOMWPGmE11hBCGYSZNmnT48OHNmzcj2AE0IwGxothf\n5KcXaHe9rBR4Qghxak33/NwhaCgaqwMA1NkjBbuCgoKioqKQkBBCiEKh2L59e/v27RuoMDPf\nKzg4uObHhIeHb9mypZEKAIBG4hXJPrtFYdQIygzewYsWO6PzJgBAPT3SdicLFy4MDQ013WZZ\ndsiQIY03v83X1zc5Obnmx5w7d87X17eRCgCARsXKKJc2DFIdAMCjaDb72A0dOvS3335btGiR\nTqerelalUs2ZM2fr1q0jR460fm0AAAAAtqDZzLH7+OOP//777/fee2/evHmRkZH+/v4KhUIQ\nBKVSmZ6efvLkSbVaHRMT89FHHzV1pQAAAABNo9pg161bN4tffPfu3QYtpiYuLi5JSUnLly9f\ns2ZNYmIixz3YulQkEkVERMTHx8fHxzMMltEBAADAY4oSBMHsCVNCEolqWphmNBo5jqvuGRqP\nVqvNyMgwdZ5wcnIKCAgQi8X1e6qysrIvvvjCYKipJeX58+f37NlTVlamUCjq910AAADAbuj1\neolEcvTo0Z49ezZ1LZVVO2L33nvvrVix4uzZs6ZFr2YlJCR8/vnnjVNYTaRSafmiDUJIaWnp\n7NmzX3vttbZt29b1qTQaTXJyskajqeExpoFJ6+dXAAAAgDqpNth98skne/fuHTVq1LFjx2oe\nt2typaWln3/+ea9eveoR7Dw9Pbdt21bzY1auXDlx4kSKwmI9AAAAsGnVBjuRSPTzzz9HRER8\n8MEHCxcutGZNZo0bN666U2q1mhCydOnSP/74gxDy3XffWa8sAAAAAJtR06rY8PDwe/fuGY3G\n6h4waNAgFxeXRqjKjO+//77mB+zdu9d0A8EOAAAAHk8W9rFzcnJq0aJFdWd79+6dkJDQ0CWZ\nN23aNIZhunTpsnv37qKHXb58mRCyfv16013r1AMAAABga8yP2GVmZtb+Kfz8/BqomJp89dVX\no0ePHj9+/KBBgyZOnLhgwQJnZ2fTKaVSSQiRy+VWGz4EAAAAsEHmg52/v3/tn8Jqy0W7det2\n6tSpL7/8cu7cuVu3bl2yZMlLL71knW8NAAAAYPvMBzubbczFsuyMGTNefvnlCRMmvPzyy889\n99zy5cuxXhUAAACAVBfs1q9fb+U66iQ4OHjfvn0//fTTu+++265du3fffbepKwIAAABoehYW\nT9iy11577erVq0OGDJk7d25T1wIAAADQ9MyP2EVFRdXy6/V6/dmzZxuunrrx9PT89ddfx44d\nu3///uDg4KYqAwAAAMAWmA92p0+frniXpunybqoU9aC9rLOzs5OTU6PWVxuDBg0aNGhQU1cB\nAAAA0MTMX4o1VpCXlxcVFTV58uTz589rNBqe50tLS48cORIXFxcREXHx4kUrVwwAAAAAZlme\nYzd9+nQfH59ly5Z17txZKpUSQhwdHaOjo3/99VeZTIaFCwAAAAA2wnKw2759e2xsrNlTffr0\n2bZtW0OXBAAAAAD1UVOvWJPS0tK8vDyzpwoKCkpLSxu6JKgtgSO5Z4zF13neKLi0YbwiWVrU\n1DUBAADYNaOR5OZShLg3dSHmWQ527dq1W7p0ab9+/bp3717x+MmTJ3/44Ye2bds2Wm1Qk4KL\n3OG31MoM3imIoVlSkqKVtKB7LZL5RFv+PwUAAIBKVCpSUEAKCkh+/v0bpj+FhQ9u5+eTkhJC\niIiQ/zZ1veZZDgHz5s0bOnRoZGRkSEhI69atpVKpVqtNTU1NSUmhKGrZsmVWqBIqKUvn9/5L\n5f+0aPAmqcSVIoQYVML5/+n2v656ZoPCvTPT1AUCAADYBEEwH9EqBbjCQqLVNnWtDcFysBsy\nZEhiYuL8+fMTExNTUlJMB8VicZ8+fRISEqqbfgeN6vz/tG4dmV6LZOSfbmoiOdX9I6k2nz/z\nmTb2V3mTVgcAdaDO4aVuNI2hdoA60mrNp7RK6a2wkFirp71NqNVrSa9evXbt2sXzfHZ2tlqt\nlslk3t7eLIvXoSaTsc8YvfBBqisX9opk90ilvkwQO6J/LjxeBJ4YNYJI3mx+8ktu8We/0GYf\nMxqUAs0S13Cm4yRJ4DOYJwtASkpIXp6ZlFZYSPLz7we4wkKiUlm1KomEuLkRNzgAACMAACAA\nSURBVDfSogVxdeX/+OMIIR2tWkHt1CGc0TTdsmXLxisFasmgEgwqQeFnZkWzYwAt8ESbj2AH\nj5H03YbLq3SFV3hOKzh40b5PsU+8I3Hwtul+iXnnuL2vqLy6MzFfyZyCGU0un3nAeHiquvNb\n0k5TJE1dHUBj0WhIdjbJyiJFRZX/lB8vKCB6vVWrkkqJq+uDP76+xMfnoSOmPz4+hPrnrVWv\nN0ok6wh5w6qF1k6tgh3HcSdOnMjOzi7vP1FRXFxcQ1cFNWFlFC0iuiIzI8vaQp4QInZCqoPH\nxbkvtZe+1bV9VdLlbVbiShXf5K+t0W1/VvnMRoVzsI1mO8FIjryjbv2cqOeC++PuzkG0dxTr\nFckcnKD268u2aI9pstCcaDTVprSKf3JyCM9btTCptNqUVh7g3N2JWGzVqhqb5WB35syZl19+\nOS0trboHINhZGUUTr0g2dYfB96nK/32pOwwuobTUDcEOHgu5p7mLK3QDfpSX/y64dWCCnhMd\nnKg+8q762T8UTVtede6dNCoz+cFbpJVmU/gPEHk/yab8ro9sL3uU5xeMpOQ2V5rKS91olzAa\n4/dQb6bEVt0Ym+nU3btEp7NqVZUG2KobZvPyIsxj+RHJcrCbMmVKcXHxW2+9FRYWJhJh/odN\n6DRFsvcVlXsnJuyVBx800ncZLv+fLuYrhyYsDKBhGTWCtlCQ+9CUudG3mxv0fv1FlT7hUCyJ\nnCPd1Lus8CrXItwWX9dLUninIEbiYiZveTzB5J3jHuXJ03cZTn2iVWXzEhdKXybQDAl7RdL1\nfSmDC7zwj6oDbGaH2XJzCfdIP4x1Vp7Yqhtm8/Ulvr5EKrVqVc2O5WB38eLFdevWDR061ArV\nQC15R7E9F8iOz9JcW6v37MpQDMm/wBVe4bq+J201BOEb7MGtLYZL3+pKUjiBJ4yU8unJRCTI\nXEIfyndF17nWz5n5gVf40w5edPF13jaDXQ0ece1e6jbD3++oO02WtB0rkbpRnJ5kHTKcmKMt\nS+f7rXKoutwK7EzFxFbDVLaiIqtWZXaArWqA8/QkWJPZICz/KyoUioCAACuUAnUSMlzsE82m\nbjMUXeN4I/F/WhTzPwebnVQEUCdnPtNe/UnXYYLEr69M6k6VpPDX1up2DlUOXCf3eKKZZbWq\nXMPo0tuctlCQtqgctXJPc24d6vkX5LTCiY81T7wr7fjG/dE5Rkz8nxY5hzDbBivv7DUExOJT\nX3NVVGRhwUFREcnPJ+amwTeiWq458PW1alVgOdiNGDHi999/79q1qxWqgTqR+9IdJuL6Ctib\nvLPc5VW6p9fIy9uoKPzoln3Yo+9rjryrHvqXI/VP8nEJNX/hUpXFq3P4SsN7tsOzG+vYij71\niSbmq4dG0dJ2GnJPG3vMred1puxjHKcl7f5deR64U2s68Bk2fReCnc2p5ZqDe/esvQ1bDWsO\nyo97eBBMzrJNloPdZ599FhcXN2LEiBdeeMHX17fqNLtevXo1Tm0A8DhK+U3fsg9btTlet5nS\nDd1Lc88avbrfPxU6QrTnX6p7x43eUQ8eLPDk1H+1LdoxLdrZ6NgexZCYrxz2/ku1e5QqbLTY\nOZjW5AkZBww3ftFHzJC6htWzbNVdXuFHMVIzF1xdQpnMA9YdzHm81bzmwHS8yTf1qG6Mzdub\n0Db6mQhqxXKwu3Tp0vnz5zMyMn777TezDxCs+1FCEITU1NTbt2+XlZURQpydnUNDQ/39/a1Z\nAwA0npJbfNUV34QQiSvlFEiXpPBe/7St9urBhv9bsu81VfvxEt+nWGkLuvgGd3W1vuga98wG\nuS1PKXPryAzZoTj/P+2pTzSafIF1oNzaM/2/l7fsXf9JRoyMGKrZr9WgFMwGPqgTs2sOqqa3\nplpzUPO+Hi1bEgku8DweLL+ITJ06NS8vb8SIEaGhoU3bbaKoqGj+/Plr167Nzc2tdCogIGDc\nuHHTp0+XyR5pmwAAaHo0Eap5X+Q5Uml5bPcPpW7tmUsrdRe/0QkcETtRvk+xvRYqFP62Pubg\nGEDH/M+BEGJQCiI59egx1KMrq8rSVF0LLPAk86DRfwDmpVerPLHVsK/H3bum1u/WU92ag0oB\n7rHd1AOqY/lX/cKFC6tWrXrllVesUE0NsrOzo6OjU1NTQ0NDBw8eHBgYKJfLCSGlpaW3bt06\ndOjQ7NmzN23adPDgQVdX16YtFQAehWsYnXPKSEjl4QX1PV6ZwVe9Uhk0VBQ0VMQbiK5IkHk2\nv3EpkaJhanYOov36scfe1zy9Ri5x/ec5BXLuK23ZHT7sX/a1B2staLWksNDyvh55ecRotGph\nFRNbDVPZ8FYG9WM52Mnl8g4dOlihlJrNmjUrMzNz48aNw4cPr3qW47iVK1dOmTJl7ty5ixcv\ntn55ANBQQuPEO55Tpu00tHr2wYxegSMnPta6hjPunc2PTtAi0hxTXcPqtcjhr7GqLf3LWj8n\ncg5mNHn83UPG0tt8n+UONt5jrU4qXRKtbpjN+msOTF2nah5jw5oDaGyWg92LL764Y8eOLl26\nWKGaGuzcuXPMmDFmUx0hhGGYSZMmHT58ePPmzQh2AM1ai3AmYob08Fvq7GPilr1ZmQddksJd\n/1lfdod/Zr1Nz5xrchJXatAmRcpGffYx470kncyT9nmS7fONWNGyeaQ6u2kkCtCELAe7hQsX\nDh8+PDs7+8UXX2zZsmXVVbEhISGNU9tDCgoKgoODa35MeHj4li1brFAMgH0QjOTGBn3GPkPJ\nTV7sTLm2ZdqOFVc3JGZN7cdLXNsyl1bqjr6n0ZcKCj/aJ5rt+61dDTs1EkZMwl4RV+xJ0+Rs\nuZFozRdD7bKRKNg9y8HONGVt3759K1asMPsA66yK9fX1TU5Orvkx586d88VOiAC1Y1QL+15T\nF9/kgl8St3pWZCgT7h3n/nxJ2f1Dafi/m375nG8M6xvDEkI4bUOu6FRl8/nnOVU27xhAu3dh\nZe4YY6k/NBIFsEGWg92oUaPEYnHTroclhAwdOnTJkiXdu3efOnWqpMqibZVK9cUXX2zdunXG\njBlNUh5As3NynlaTxz+/W+HgdX8YLPzfJHW74e+31W6dWM8IW3nTa6hUx+nIyXmamxv0YkdK\n7ksrM3ijVmg/XvLEO1LKVv6uNqG6NQeVAlwTrjmoYV8PPz/i7GzVqgBsDWXlXejqrbi4uH//\n/mfPnnV0dIyMjPT391coFIIgKJXK9PT0kydPqtXqmJiYP//8U6FQNOy3Xrly5cSJE8vKyhr8\nmQGair5E2NCttN8qecs+lT+zJU5SUwzpvdShSQprPIemqPPOctGLZD49WUIIEcidvYZjCZrg\nYeLusx6LpuK1aSRqOmVNaCQKzZFer5dIJEePHu3Zs2dT11KZ+V+UM2fORERE1PW56vdVteTi\n4pKUlLR8+fI1a9YkJiZyFfZ/FIlEERER8fHx8fHxDMbWAWqh8ConCMSnl5lXgJa92YsrrHvx\nrPHlnDKm7zY8t1PxYLcUigTEikQK6q9XVWFjxE6tmvHsveoaiVYMcDbbSBRrDgAalvlg17Nn\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "KVAfsDb-5TCv", - "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-24.944 -7.411 -2.467 3.409 68.590 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", - "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 15.02 on 45 degrees of freedom\n", - "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", - "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "gLTt4w6W5ZDZ", - "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", - "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.6626 on 45 degrees of freedom\n", - "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", - "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2**\n", - "\n", - "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", - "\n", - "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." - ], - "metadata": { - "id": "IOdFGv6K6yTo" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "jbKkvsq28pOV" - } - }, - { - "cell_type": "code", - "source": [ - "shapiro.test(mdl2_residuals)" - ], - "metadata": { - "id": "4kkU-JXs8jtS", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" - }, - "execution_count": 29, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "\tShapiro-Wilk normality test\n", - "\n", - "data: mdl2_residuals\n", - "W = 0.97609, p-value = 0.4418\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1**\n", - "\n", - "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" - ], - "metadata": { - "id": "WXDmMG4hPJZk" - } - }, - { - "cell_type": "markdown", - "source": [ - "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" - ], - "metadata": { - "id": "jwArgTQWPsuO" - } - }, - { - "cell_type": "code", - "source": [ - "ext_stud_res = rstudent(mdl2)\n", - "dof = mdl2$df.residual - 1\n", - "alpha = 0.5/47\n", - "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "HFvzFdu2P4T6", - "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" - }, - "execution_count": 48, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "0" - ], - "text/markdown": "0", - "text/latex": "0", - "text/plain": [ - "[1] 0" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2**\n", - "\n", - "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." - ], - "metadata": { - "id": "BFMM1FTzS0r4" - } - }, - { - "cell_type": "code", - "source": [ - "cook = cooks.distance(mdl2)\n", - "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", - "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "aT3jMWiQPYMb", - "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" - }, - "execution_count": 63, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “Half-normal Plot”" - ], - "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "aAh8bKABa78_", - "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" - }, - "execution_count": 62, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", - "sex -0.87120 0.39268 -2.219 0.0320 * \n", - "status 0.02983 0.01344 2.219 0.0320 * \n", - "income 0.21565 0.04904 4.398 7.33e-05 ***\n", - "verbal -0.26165 0.10388 -2.519 0.0157 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.085 on 42 degrees of freedom\n", - "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", - "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2_wo_inf)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "NPJN4AVja4l4", - "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" - }, - "execution_count": 61, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", - " 1])\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", - "sex -0.86785 0.41992 -2.067 0.04528 * \n", - "status 0.03097 0.01427 2.170 0.03604 * \n", - "income 0.21987 0.04688 4.690 3.16e-05 ***\n", - "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.033 on 40 degrees of freedom\n", - "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", - "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "influence = lm.influence(mdl2)\n", - "head(influence$coefficients, 10)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 380 - }, - "id": "JUhuuFsNawhG", - "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" - }, - "execution_count": 59, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" - ], - "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", - "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", - "text/plain": [ - " (Intercept) sex status income verbal \n", - "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", - "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", - "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", - "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", - "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", - "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", - "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", - "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", - "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", - "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.3**\n", - "\n", - "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", - "\n", - "The model without influencers has an improved R^2 value.\n", - "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table." - ], - "metadata": { - "id": "-4vrIqhZUSyJ" - } - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_4_002.ipynb b/STATS_500_Hw_4_002.ipynb deleted file mode 100644 index 8f4dd848..00000000 --- a/STATS_500_Hw_4_002.ipynb +++ /dev/null @@ -1,634 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyNvdb1on9UYLcbTMOXtliHL", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 4\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(teengamb)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1_residuals <- residuals(mdl1)\n", - "mdl2_residuals <- residuals(mdl2)\n", - "mdl1_fitted <- fitted.values(mdl1)\n", - "mdl2_fitted <- fitted.values(mdl2)" - ], - "metadata": { - "id": "x_hGzyjMEvJP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 2))\n", - "plot(mdl1)\n", - "plot(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 857 - }, - "id": "NoUDr3imxTKH", - "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “”" - ], - "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1**\n", - "\n", - "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." - ], - "metadata": { - "id": "6nEG7IN658fI" - } - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 1))\n", - "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", - "\n", - "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "3mvQ5Sv_G6Bi", - "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "KVAfsDb-5TCv", - "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-24.944 -7.411 -2.467 3.409 68.590 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", - "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 15.02 on 45 degrees of freedom\n", - "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", - "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "gLTt4w6W5ZDZ", - "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", - "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.6626 on 45 degrees of freedom\n", - "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", - "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2**\n", - "\n", - "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", - "\n", - "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." - ], - "metadata": { - "id": "IOdFGv6K6yTo" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "jbKkvsq28pOV" - } - }, - { - "cell_type": "code", - "source": [ - "shapiro.test(mdl2_residuals)" - ], - "metadata": { - "id": "4kkU-JXs8jtS", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "\tShapiro-Wilk normality test\n", - "\n", - "data: mdl2_residuals\n", - "W = 0.97609, p-value = 0.4418\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1**\n", - "\n", - "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" - ], - "metadata": { - "id": "WXDmMG4hPJZk" - } - }, - { - "cell_type": "markdown", - "source": [ - "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" - ], - "metadata": { - "id": "jwArgTQWPsuO" - } - }, - { - "cell_type": "code", - "source": [ - "ext_stud_res = rstudent(mdl2)\n", - "dof = mdl2$df.residual - 1\n", - "alpha = 0.5/47\n", - "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "HFvzFdu2P4T6", - "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "0" - ], - "text/markdown": "0", - "text/latex": "0", - "text/plain": [ - "[1] 0" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2**\n", - "\n", - "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." - ], - "metadata": { - "id": "BFMM1FTzS0r4" - } - }, - { - "cell_type": "code", - "source": [ - "cook = cooks.distance(mdl2)\n", - "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", - "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "aT3jMWiQPYMb", - "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “Half-normal Plot”" - ], - "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "aAh8bKABa78_", - "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", - "sex -0.87120 0.39268 -2.219 0.0320 * \n", - "status 0.02983 0.01344 2.219 0.0320 * \n", - "income 0.21565 0.04904 4.398 7.33e-05 ***\n", - "verbal -0.26165 0.10388 -2.519 0.0157 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.085 on 42 degrees of freedom\n", - "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", - "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2_wo_inf)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "NPJN4AVja4l4", - "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", - " 1])\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", - "sex -0.86785 0.41992 -2.067 0.04528 * \n", - "status 0.03097 0.01427 2.170 0.03604 * \n", - "income 0.21987 0.04688 4.690 3.16e-05 ***\n", - "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.033 on 40 degrees of freedom\n", - "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", - "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "influence = lm.influence(mdl2)\n", - "head(influence$coefficients, 10)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 380 - }, - "id": "JUhuuFsNawhG", - "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" - ], - "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", - "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", - "text/plain": [ - " (Intercept) sex status income verbal \n", - "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", - "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", - "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", - "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", - "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", - "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", - "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", - "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", - "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", - "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.3**\n", - "\n", - "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", - "\n", - "The model without influencers has an improved R^2 value.\n", - "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table." - ], - "metadata": { - "id": "-4vrIqhZUSyJ" - } - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "MdS1hNAHcvsM" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_4_004.ipynb b/STATS_500_Hw_4_004.ipynb deleted file mode 100644 index ca5b26bb..00000000 --- a/STATS_500_Hw_4_004.ipynb +++ /dev/null @@ -1,653 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyOIOhg6ixeDbourwDH4Uj2e", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 4\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(teengamb)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1_residuals <- residuals(mdl1)\n", - "mdl2_residuals <- residuals(mdl2)\n", - "mdl1_fitted <- fitted.values(mdl1)\n", - "mdl2_fitted <- fitted.values(mdl2)" - ], - "metadata": { - "id": "x_hGzyjMEvJP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 2))\n", - "plot(mdl1)\n", - "plot(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 857 - }, - "id": "NoUDr3imxTKH", - "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “”" - ], - "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc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" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1**\n", - "\n", - "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." - ], - "metadata": { - "id": "6nEG7IN658fI" - } - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 1))\n", - "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", - "\n", - "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "3mvQ5Sv_G6Bi", - "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "KVAfsDb-5TCv", - "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-24.944 -7.411 -2.467 3.409 68.590 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", - "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 15.02 on 45 degrees of freedom\n", - "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", - "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "gLTt4w6W5ZDZ", - "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", - "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.6626 on 45 degrees of freedom\n", - "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", - "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2**\n", - "\n", - "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", - "\n", - "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." - ], - "metadata": { - "id": "IOdFGv6K6yTo" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "jbKkvsq28pOV" - } - }, - { - "cell_type": "code", - "source": [ - "shapiro.test(mdl2_residuals)" - ], - "metadata": { - "id": "4kkU-JXs8jtS", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "\tShapiro-Wilk normality test\n", - "\n", - "data: mdl2_residuals\n", - "W = 0.97609, p-value = 0.4418\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1**\n", - "\n", - "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" - ], - "metadata": { - "id": "WXDmMG4hPJZk" - } - }, - { - "cell_type": "markdown", - "source": [ - "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" - ], - "metadata": { - "id": "jwArgTQWPsuO" - } - }, - { - "cell_type": "code", - "source": [ - "ext_stud_res = rstudent(mdl2)\n", - "dof = mdl2$df.residual - 1\n", - "alpha = 0.5/47\n", - "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "HFvzFdu2P4T6", - "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "0" - ], - "text/markdown": "0", - "text/latex": "0", - "text/plain": [ - "[1] 0" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2**\n", - "\n", - "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." - ], - "metadata": { - "id": "BFMM1FTzS0r4" - } - }, - { - "cell_type": "code", - "source": [ - "cook = cooks.distance(mdl2)\n", - "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", - "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "aT3jMWiQPYMb", - "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “Half-normal Plot”" - ], - "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "aAh8bKABa78_", - "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", - "sex -0.87120 0.39268 -2.219 0.0320 * \n", - "status 0.02983 0.01344 2.219 0.0320 * \n", - "income 0.21565 0.04904 4.398 7.33e-05 ***\n", - "verbal -0.26165 0.10388 -2.519 0.0157 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.085 on 42 degrees of freedom\n", - "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", - "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2_wo_inf)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "NPJN4AVja4l4", - "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", - " 1])\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", - "sex -0.86785 0.41992 -2.067 0.04528 * \n", - "status 0.03097 0.01427 2.170 0.03604 * \n", - "income 0.21987 0.04688 4.690 3.16e-05 ***\n", - "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.033 on 40 degrees of freedom\n", - "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", - "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "influence = lm.influence(mdl2)\n", - "head(influence$coefficients, 10)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 380 - }, - "id": "JUhuuFsNawhG", - "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" - ], - "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", - "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", - "text/plain": [ - " (Intercept) sex status income verbal \n", - "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", - "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", - "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", - "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", - "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", - "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", - "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", - "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", - "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", - "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.3**\n", - "\n", - "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", - "\n", - "The model without influencers has an improved R^2 value.\n", - "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table.\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "metadata": { - "id": "-4vrIqhZUSyJ" - } - }, - { - "cell_type": "code", - "source": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "metadata": { - "id": "MdS1hNAHcvsM" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_4_005.ipynb b/STATS_500_Hw_4_005.ipynb deleted file mode 100644 index 7194a764..00000000 --- a/STATS_500_Hw_4_005.ipynb +++ /dev/null @@ -1,698 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyOMHd4ifd8cp43jCGBbeOR1", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 4\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "75d87f4d-4dda-44e8-bcd9-a33f9f6de8c0" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(teengamb)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(gamble~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(log(gamble+1)~ sex + status + income + verbal , teengamb)\n", - "#summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1_residuals <- residuals(mdl1)\n", - "mdl2_residuals <- residuals(mdl2)\n", - "mdl1_fitted <- fitted.values(mdl1)\n", - "mdl2_fitted <- fitted.values(mdl2)" - ], - "metadata": { - "id": "x_hGzyjMEvJP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 2))\n", - "plot(mdl1)\n", - "plot(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 857 - }, - "id": "NoUDr3imxTKH", - "outputId": "7eb4d713-0932-4b40-cfe2-a3c2920c3b17" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “”" - ], - "image/png": 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zJHn5/rrV2oix5+//33zMxMExOT4cOH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gwAFVVdV79+6RyWSEkJmZmZeXl7Oz88GDB3/5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\n3OLi4kuXLu3cuVNOTm7Dhg3iDRIAAKSGeFeeAMMCl8u9e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Q2AweXMmTNjxoyRkpIKCwvbvXt3e3u7np5eXFwcQggbV+1831Gss6OgoOD8+fOc\nt1/S1dV99OhRbW1tbm5uY2Pj33//LSMj04c/Cm6gsOu/VFRU5syZ4+npef/+fRaLxWQy7927\n5+3tvWDBgkG4SJumpmZeXl5AQEBxcXFOTo6rq+vbt2+huw5wRVhYWFhYmKmpKZ1OP378+I4d\nO9LT048fPx4eHo53NAAGkZqamhUrVhw+fPjChQszZ86cM2dObGzsihUrFi1axGAwVFVVxcTE\n7ty5w/ktJSUlWVlZxsbGsrKy3t7enafQiYqKamlp8cwd0n8GLHfSr506dWrdunUTJ04UEBBg\nsVhtbW1LlizZs2cP3rnwISwsvG7dOrxTAB5UVFTk7OyMEEpPT6+trZ07dy5CyMrKatmyZTgn\nA2AwefToEYlEWrhwIWfj2rVr9+3bh1Vv69atW7lyJT8//6xZs8hkckZGxurVqydNmmRvb08k\nEkVERPBK3q9AYdevCQoKHj58eP369S9fviQQCPr6+vLy8niHAoDXCAoKYtM37927N3r0aKxH\nvLW1Fe44DEBfqq6ulpaW7vB3Jykpyc/PX1VVhRDCPtsHBAT4+fkJCwuLiIj4+PgYGhp2Hp8d\nzOC0NQAMHTp0EI69AtBnDA0Nd+3aNWPGjBMnTrB76SIjI0eNGoVvMAAGFWVl5c+fP9fX13P2\nvRUUFLS2tqqoqCCECATC+vXr/f39s7KyGhoa1NTUKBSKuro6bon7JSjsABhIHjx4kJGRgRAy\nNjYeN24c3nF4xO7duydMmBAZGamrqxsUFIQQunbt2q5du65du4Z3NAAGkbFjx8rJyQUHB588\neRK7wVJjY2NQUJC5ubmGhgZ7NwaDIS8v7+DggF/Sfg0KOwAGhvLyck9Pz7S0ND09PYTQtm3b\nLC0tIyIiBsl1Xr3K1NS0rKyspKRERUUFu8LOxMTkyZMn5ubmeEcDYBChUChXrlzx8PDQ1tYe\nP348nU6/e/cuPz9/fHw8e5/Pnz9fuHBBX19fW1sbx6j9GQxLAzAweHp6trS0vHnzJi0tLS0t\nLT8/v6GhYfbs2Xjn4hEUCmX48OHsRSJVVFSgqgOg75mbm799+9bPz+/bt2+NjY3r1q3Lzc1V\nVVVl7yAqKuru7j5x4kQcQ/Zz0GMHBq/29vZbt27l5uaKiopaW1sbGBjgnei7Xr9+/ejRo7dv\n3yorK2MtKioqZ8+e1dHRefPmjaamJr7xBqilS5f+cJ+jR4/2QRIABqGmpqZr1+XAICwAACAA\nSURBVK7l5eVJSEjY2tqamZlh7aKiop0XQKiurq6oqBg1apSIiIiOjk6fhx1IoLADg9TLly+9\nvLxKSkr09PTq6+tXrlzp4+PDntjR3+Tn50tLS3eYI6ytrS0hIZGXlweF3a+5ffv2D/eBwg6A\n3vD48ePZs2e3tbUZGRlVVVWFhIR4eXmdOXOmyzNwWVnZuXPnNDU14XqmnwGFHRiMaDTapEmT\nrK2tnzx5IiYmhhBKT0+fMmVKSEhIaGgo3um6ICgo2NTUxGAwSCQSu7G9vb25uRnuvfHLPn78\n2M3Wtra23NzcvsoCwCBSXV3t4eExY8aMP//8U1BQECGUmZnp6uq6ZcuWLhdqFRYWdnZ21tfX\n7/OkAxLMsQODUUxMTEtLy99//41VdQghMzOz0NDQU6dOtbW14ZutS5aWlnQ6vcNFmleuXEEI\nWVhY4BSKx719+7bzKvYAgN939epVISGhI0eOYFUdQsjQ0HD37t2nT59mMBjs3err69++fYsQ\nEhERMTAwGIT3Sf810GPXnYqKikOHDmVmZvLx8Zmbmy9fvhwWtuYN+fn5hoaG7HMKxtrauqGh\n4fPnzyNHjsQr2PdISEhs3rx5wYIF79+/nzx5MovFio6O3r1797Zt20RFRfFON+A1NDSsW7cu\nPj4eWwQVIcRisbBVsvANBgDPKCkpef36NZVK1dXVffv2rZGRUYeFiC0sLGpqaioqKrB1Wysr\nK8+ePausrMy50An4GdBj912JiYkaGhrx8fFGRkajRo06f/68pqbmq1ev8M4FuEBQULChoaFD\nI9bSodrrP0JCQk6ePHny5EktLS1tbe0zZ86Eh4evXbsW71y8YMOGDTExMc7Ozm1tbbNmzXJx\ncUEI+fr6JiYm4h0NgAGvurp67ty5SkpKHh4eNjY2SkpKubm5dXV1HXarqakhEAjCwsLYQ35+\nfltb2+nTp/d53gEPCruuNTc3e3t7z50798WLF7t37w4NDc3NzbW0tPTx8cE7GuACW1vbFy9e\ndJhBdfbsWU1Nzf58kw9vb+/i4uKKioqvX79+/PgR1jrhltjY2IsXLx47dkxISGjTpk3//PNP\nUVHR69ev8/Ly8I4GwMDGYrE8PDwyMjJSUlJoNBqNRtu/f39KSsrjx4/z8/M59wwPDzcxMSGR\nSIWFhQghERERU1NTuFfYL4Ch2K49evSorq5u9+7d7P9VFApl//79w4cPz8vL09LSwjce+E1j\nxoxxd3d3cHDYtWuXnZ1dTU0N1gEWGxuLd7QfgxWJua68vBwbfyeRSNgkSykpqaNHjy5ZssTR\n0RHvdAAMYElJSWlpaUVFRUpKSgghfn5+Pz+/9vb24OBgW1vbbdu2WVtbV1dXnzhxIjo6+tat\nW6dOnZKVleVcuA70FBR2Xfvy5YuCgkKH6w1VVFQEBAQ+f/4MhR0PuHz58oEDB1auXImNCBgY\nGCQkJNja2uKdC+BAXFy8qKhIRUVFSkoqOzt7xIgRCCEFBQXosQPgNz1//lxfXx+r6tjc3d0X\nL17s4+Ozffv2iooKMplsZWX19OlTVVVVYWFh9oJ24NdAYdc1GRmZ8vLy9vZ2Pj4+dmNFRUVL\nSwv0l/AGfn7+jRs3btiw4fPnz6KionAJwmDm5uY2Z86c1NRUBweHoKAgFoslJSV17NixYcOG\n4R0NgIEnOzs7LCwsPz9fTEyMSCSyWKwOO2DXt86fPz80NPTbt298fHxVVVXYB6oxY8bgkJi3\nQGHXNTs7OxKJdPDgQfbkdBaLtX379pEjR2J36gQDQkJCQmJiYnV19ahRo3x9fSUkJDrsQCAQ\n4M0bhIaG1tTUkMnkdevW3b9/f+rUqQghKpV6+fJlvKMBMMCEhYWtWrXKxcXFw8Ojurr6r7/+\nqq6uzsrK4ry1z+3bt8XFxbHxVj4+vrNnz4qIiGCFHfh9UNh1TURE5MSJE97e3ikpKZMmTWpv\nb4+MjMzIyIiLi4O5nANCc3Ozp6dnXFycnZ2dlJTU8ePHd+3adf78ebjDIOhMXFz8+vXr2Nev\nX79+/vx5a2urrq6uuLg4vsEAGFjevXu3evXqc+fOzZkzB2sJCQlRUFAYN25cQkKCkZERnU6/\ncuXK6tWrQ0JCsAExAoGgr68PHXVcBIXdd82aNWv06NG7du3av38/hUIxNze/dOkS9O4MFCEh\nIS9fvszJycHWQKLT6Vu2bJk1a1ZBQYGcnBze6UD/8u3bN86HWEcCg8EoKyuTl5fHKRQAA090\ndLS2tja7qkMIiYiIhIeHz54929jYWEJCgkajkcnkTZs2BQUFffr0SVlZWUREBCY3cxcUdt3R\n1tb+559/8E4BeozBYJw9e/bIkSPslS3JZPJ//vOfq1evXrlyJTg4GN94oL+Rlpb+3qbO04MA\nAN9TWlraeYF3IyMjJpOZmppaUVExZMgQQ0NDCoUSHh7Ox8e3aNEiXHLyNijsAA+qrq6ura01\nNDTkbCQSiQYGBtgKSQBwOnv2LOfDpqamjIyMhw8fdnnbSgDA98jJyaWmpnZo/PDhA4VCMTQ0\nFBAQwFrq6+s1NDSsra37POCgAIUd4EFUKpVIJHYYX0MIVVZWqqur4xIJ9Gdz587t3BgVFRUX\nFzdz5sw+jwPAwFNeXl5ZWTlhwoQtW7ZER0dPmTIFa29padm5c6erq6uAgACdTi8vL1dUVBQR\nERk/fjy+gXnYgLkOoKSk5OjRo3inAFxWV1dHp9O5flhBQUEbG5ujR49yjqNlZWWlpqZOmDCB\n608HeNLkyZPj4uLwTgFAf/fvv//q6urKy8vr6uqamJgYGxvPmDFj1qxZR48e3bFjh5aW1pcv\nXw4ePNjU1PTXX3/FxMTgnZf3DZjCrqCgYNmyZXin6Jny8vKFCxeqqqpKSkpaWVlFR0fjnai/\naG9v379/v4KCgpiYmLCwsKOjY05ODnef4sCBA3Fxcc7OzjExMSkpKXv27LG3t/f09LSysuLu\nEwFeVVJSQqPR8E4BQL+WnJzs4OAwZsyY/Pz8b9++3bp1q7GxUV1dncVinTx5MjEx0dfX9/Xr\n10pKSgwGY9iwYfPnz8c7Mu+DodjekpeXZ21traqqumHDBklJyZSUlNmzZy9cuDAsLAzvaPib\nOXNmamrq1q1bLS0tq6qqTp48aWZmlpSUZG5uzq2nMDAwyMrKWr9+/bx58xoaGlRVVffu3evn\n58et4wNesnr16g4tNTU19+7dgyUYAOjepk2bfH19T5w4gT2cMGGCsbGxmprapk2bIiMjEUIM\nBuPr16/CwsJDhgyBAZO+0Y8KO84LpDurqKjosyRcsXLlSktLy9jYWGzdOw8PDzc3Nzs7O29v\nb2NjY7zT4SkxMfHOnTsvX74cNWoU1jJu3DgfH5/Vq1enpKRw8YlUVVWjoqIQQq2trfz8/Fw8\nMuAx586d43xIIBDExMTs7Ozg4gkAukGn058+fbp9+3bORmlp6fHjxz9+/NjLy6ulpeXy5cv1\n9fUrVqzAK+Qg1I8Ku+vXr1OpVFlZ2S639mhMxM7OLjs7+3tbWSxWeXl5j/P1RHNz84MHDxIS\nEjhXMx47dqy5ufmtW7egsLOysmJXdZhFixZZW1vTaDRhYWGuPyNUdaB7na+zwVFJScmNGzeW\nLl2KdxAAfoDBYDAYDEFBwQ7tgoKCra2tCCE6nS4tLT1jxgw80g1e/aiw27dv3969e5OSkrpc\nU+rRo0d2dnY/eajQ0NAPHz58b+uMGTO6WbaKK+rq6hgMRuelTYcOHVpVVdWrT93/NTY2dl7Q\nX1xcnMVi9VJhB0CXvnz50v0O7e3tw4cP75swbNh8YijsQP/Hz8+vpqaWlJRkYWHBbmxvb09J\nSVmyZAlCiEqlurm54RdwkOpHhd2yZcvu378/Z86c379tl7GxcTe9YgQCgUQi/c7xf0hKSopK\npebm5mpqarIbWSzW69evuTiNbIBSV1e/efMmg8Hg/C2kp6dLSUlJSUnhGAwMNkpKSj/cBxYo\nBqBLra2tVVVVK1asWLNmjbq6+rRp0xBCtbW1QUFB9vb2dDqdxWIRCAS8Yw5G/aiwQwidPXs2\nKiqqrKxMQUGhwyZxcfFx48bhkuoXkMlkT0/PzZs3W1hYDB06FCHEYrFCQ0M/ffrUx53SLS0t\n58+fz8zM5OPjMzMz8/T0JJNx/qXPnDlz8+bNK1as2LdvH7ZeZWZmZkhIyMKFC+E+vKAvRURE\nYF80NDTs2LHD2traxsaGSqXW1NQkJydnZGTs27evN56Xx+YTg8Hg1q1bZ86cKSgoGDp0qIGB\nwfPnz1NSUhgMhqioqImJibe3d3BwsIyMzLt379TU1BYvXjxt2jSo6vDSvwo7KSmpgICALjfp\n6ek9ePCgj/P8jtDQ0EmTJmlqarq7u2NXxb558+bvv//+mU4CbsnOzp48eXJra+vYsWPpdHpw\ncPD+/ftv3bqF7x1vpaWlo6Ojvb29o6KiTExMqqqq0tLSPD09t27d+svHfP369YYNG54+fdrS\n0jJ69OhNmzZNnDiRi5kBT5o1axb2ha+v7/r167HBI8zSpUt37NgRFxeH9UNwFxfnE5uZmT17\n9qybHXp7PjEYDPz9/S9cuDBv3jwnJ6fnz58fOHBATEzs7t27ysrK6enpmzdvNjIyWrhwYWVl\npZaWloODAx8fH96RB7X+VdjxElFR0X///TciIiIpKenTp0/Ozs43btzoy6quvb19+vTpJiYm\nf//9NzZxraqqatq0ad7e3snJyX0Wo0t2dnZv3ryJjIzMzc01MzMLDQ3lnKLRU/fv3580aZKr\nq+upU6eEhITi4+OnTJmyZcuWkJAQLmYGPCw2NrbDlX0IIQ8PDxsbm7/++ovrT8fF+cRnz54t\nLS393tbx48fLyMj8YkoAEEII3b1798KFC6mpqdgEJzs7u6lTp758+TIhISE0NFRDQ8PGxkZX\nV7e6urq9vd3JyQkGXnAHhV0vIhAIXl5eXl5euDx7SkrKp0+f0tLS2JcjSEpKHjt2TFtbu7Cw\nUFVVFZdUbFQqdcGCBb9/HBaLtXjx4mXLlh04cABrmTBhgpWVlZeXl7e3N759k2CgaG9vf/Pm\njYqKCmdjQUFBW1tbbzwdF+cTa2lpaWlpfW8rgUCAd1nwm65fv+7u7o5VdXQ6/fHjx/Hx8e/e\nvQsNDQ0NDUUIKSsrjxs3rrKyMjg4GP6/9QfwO+BZ79+/V1JSkpCQ4GzU0tISEBAoLCzEKxXX\nvXv3rqioKCgoiLNx2rRpcnJyCQkJeKUCA8uECRO8vb23bdsWFxf377//xsXFbd261c/Pr/du\nZ3n27NnJkyeXlZV13jSw5hMDnldRUcH+zNPa2orNqxs+fDj2v7eurg4hJCwsXFFR0dvLTYCf\nBD12PEtUVLS6urrDxad1dXWtra2dVxsZuGpraxFCncebZGVlsU0A/NCpU6f8/Px27tzJZDKx\nFgKB4OjoeOrUqV56Rl6aTwx4WHt7u4SERFFREfZQWFhYSUnpyZMnRCJRUVExOjr6zZs3q1ev\nTktL+97/Z9D3oLDjWba2ti0tLRcvXpw7dy67MSwsTEZGxtDQEL9cXKaiokIgELKzs83MzNiN\nTU1Nb9++HTFiBI7BwAAiKSl548aNqqqq/Pz8hoYGYWFhTU1NmJ0GBrOcnJxVq1YlJye3t7cj\nhBYuXHjkyBF+fv7Fixdv27aNQqH4+fk1Nzd7eXmtWrWqsrKy+2u9QV+Cwo5nSUlJ/fHHH/7+\n/i9evHB1dW1vb4+MjIyIiIiMjOSlS5ZkZWVdXFyCg4Nv3ryJDQS0trYGBQWJiIg4OTnhnQ4M\nJJKSklZWVninAAA3LS0tx48ff/LkSWlp6fPnz52dnePj46WlpVesWBEeHn737t3g4ODS0lIW\ni/X169dbt249f/585cqV/Pz8MTEx37vKG/Q9KOx4WVBQkJaW1tatW//++28ymWxqavr06VMT\nExO8c3HZmTNnJk6cqK6u7ujoKCQk9OjRo9bW1uvXrwsJCeEdDfRrwcHBM2bMsLS0DA4O/t4+\nhw4d6stIAODl/fv348ePb2tr8/DwSE9PFxERSU5ODgwM1NHRSUhIuHTpkq+v75kzZxwcHIKD\ng11dXZOTk799+zZnzpwpU6bAHYP6FSjseNz48ePHjx/PZDJ5+GIlOTm5Z8+eRUREpKamtrS0\nLF++3M/Pb8iQIXjnAv1dVFSUsbGxpaVlVFTU9/aBwg4MEn5+fiNGjIiJiSGRSMePH3/48OG9\ne/d8fHyKiopERUXnzJlz8eJFXV3d0aNH29raDhs2jJem9PAYKOwGBR6u6jAkEmnOnDkwyQP0\nCPtesT+8aSwAvK20tPTRo0cZGRnCwsLV1dVMJlNcXHzHjh2nT5++d+/ezJkzW1paxMXFaTSa\nj48P3mHBD/D4+z0AvYpGo23evFldXV1AQEBDQ2PHjh3Nzc14hwK/Ij4+HruXF51O37t3r5eX\nV28sTQxA//TlyxcWi6WhoYEQEhcXl5GRSUtL4+PjGzly5KdPn7C1iDMzMznvfg76LSjsAPhF\nDQ0NFhYWly5dCgoKio2NXbp06ZkzZ6ysrJqamvCOBnomPDzcxcXl06dPCKGtW7eGhIQUFRUt\nXbr0yJEjeEcDoC9gV56VlJQghAgEQkBAwJYtW9LT0798+SItLf3x48fa2trKykpPT0+8k4If\ng8IOgF908ODBxsbGrKysJUuWODk5LVu2LCsrq6Ki4tixY3hHAz0TFhYWFhZmampKp9OPHz++\nY8eO9PT048ePh4eH4x0NgL4wfPhwXV3dXbt2sVgshBB2u20bG5uKioqIiIgtW7ZERkZGR0fD\nEsQDAsyxA+AX3b17d968eWJiYuwWSUlJX1/fO3furFmzBsdgoKeKioqcnZ0RQunp6bW1tdjS\nj1ZWVsuWLcM5GQB95fTp0+PHjy8oKPD29hYQEBASElqzZk1+fv7w4cM9PT2nT59OpVLxzgh+\nChR2APyi2traLu94UVNTg0se8MsEBQWxyZH37t0bPXr00KFDEUKtra1kMpwhwWBhZmaWl5e3\nffv2w4cPt7a2Tps2zdTUdOfOnXjnAj32g9NWfHy8vr6+rKwsnU4/cOBAdnb2uHHjuHLvdgAG\nuuHDh+fk5HRozM7OhjteDDiGhoa7du2aMWPGiRMn2L10kZGRo0aNwjcYAH1JUVHx5MmTnHeh\nBANRd3PsYEIxAN2YO3fu2bNnHz58yG65d+/epUuX5s+fj2Mq8At2796dkJAwdepUBQWFoKAg\nhNC1a9d27dq1evVqvKMB0HfS0tL++OMPGo2GdxDwW7rrses8oXjjxo1nz549ePAgTD0BYObM\nmRkZGY6OjjY2Npqamnl5eY8fP16/fr2rqyve0UDPmJqalpWVlZSUYLceRgiZmJg8efLE3Nwc\n72gA9C46nX7u3LnHjx83NDTo6uqOGzcObiMx0HXXY/e9CcXv37/vm3AAdKmlpSUlJeWff/55\n9uwZdoNqvOzbty8tLc3ExKSqqsrc3PzFixf/+c9/cMwDfhmFQmEwGJGRkYcOHaqqqlJRUYEl\nuwDPKy8vNzY23rBhA5lMVlJSio2NnTRp0s2bN/HOBX5Ldz12MKEY9EN3795dvHhxSUmJtLR0\nRUXFqFGjTp8+bWlpiVceY2NjY2NjvJ4dcEVTU9PcuXOvXbuGPXR2dq6trbW0tHz8+LG6ujq+\n2QDoPUuXLh0xYsT06dOXLVsmIiLCZDK3bt3q4+NTWFgoJSWFdzrwi7rrscMmFEdHR584cWLq\n1KlYI0woBjh69uyZh4fHrFmzamtrS0tLKysrzc3NnZycPnz4gHc0MIBt2LAhNTX1/PnzxcXF\n/Pz8CCFFRUVra+vNmzfjHQ2A3lJfX3/z5k1zc3NHR0cRERGEEJFI3LZtm7CwMHTaDWjdFXaD\ndkIx/WsVq52OdwrQhdDQUDc3tz179mCzQCQkJMLDw3V0dMLCwvCOBgawq1evhoeH+/j4KCkp\nYS38/PwbNmxISEjANxgAvaekpKS9vd3X19fExITdSCKRNDU1P378iF8u8Lu6G1QdtBOKy7cd\nZjY2CZnqCo8xEtDVIMC13/1GZmbmxo0bOVsIBMKECRPgDRj8jtraWh0dnQ6NoqKijY2NuOQB\noFe9fv367t27U6ZMQQiVlZXJyspybi0tLYVx2AHtB7PlKBTK8OHD2Q9VVFRUVFR6N1E/oHAw\npOl5Di014+u+0wQBfmFzA2ErIwEtVUQg4B2t32EymdHR0enp6S0tLQYGBrNnz8ZGsnoJgUBg\nMpmdMxCJcHM88OuGDx9++/btxYsXczYmJiZynv0A4A0sFuvBgweWlpYjR440MzPbt2/f5cuX\nCf//3S0mJqawsNDFxQXfkOB3dFHYLV269IffdvTo0V4I018Q+CnCVsbCVsZMWnPTs2xaakb5\njiMk0SHClobCVsb8qsp4B8RBZmZmbm6usLCwmZmZgoIC1lheXu7h4ZGXl2djY8PPz3/16tU/\n/vgjOjp69OjRvRTDzMwsNjbW39+f3cJkMm/evDl+/PheesY+wGAwcnNzP3/+PGLECA0NDShS\n+563t/fy5ctfv37t7OzMZDL//ffff/7558CBA9u3b8c7GgBcRiAQgoODsa+PHTtmZ2c3duzY\nuXPniomJJSYmhoeHb926VVVVFd+Q4Hd0Udjdvn37h9/G24UdG1FYkGpnTrUzZzY2NWW8oiU/\nK9uwnywpJmSqR7U1pYwYhnfAvvDly5cFCxYkJCQMGzasoaGBRqOtXr16x44dRCJx7ty5BALh\n3bt3cnJyCKHGxsZ58+ZNnTo1NzeXj4+vN8KsW7fOzMxs0aJF27Ztk5eX//Dhw9q1az99+oTN\nAR2I/v3338DAwLy8PGFhYRqNZmJicurUKQMDA7xz/Y+ysrLw8PD8/HwxMbFx48ZNnTqVwFu9\n1+vWrWtsbDx48OCJEycQQosWLRISElqxYsWqVavwjgYAd7x79+7OnTs+Pj6SkpLsRiMjo7y8\nvM2bN+/evbu+vl5XV/fu3bsD+nMyQF0Wdt3Pmmxra8vNze2tOP0VkSpEtTGj2pjRq2qb0l7S\nnmbWxyXzKchifXh8QzveMJRn0On0iRMnioiIvHv3DvsMd/PmzXnz5lEolHnz5sXHx2dkZGBV\nHUKISqWePn1aXl4+OTnZwcGhN/Lo6urev38/MDBw6NChQkJCTU1N5ubmSUlJ2Fo8A05OTo6T\nk9PcuXOTkpJkZGSKi4vXrVtnb2+fk5PDnsWPu6ioqPnz548YMcLCwqK6unru3LnHjh2LjY3F\nLqPjDUQicdeuXSEhIdnZ2XV1deLi4qNHjxYSEsI7FwBcc+fOHT09PQkJCYQQi8W6cuXKzZs3\nS0pK1NXV/f39z549i3dAwDU9XpHu7du3NjY29fX1vZGm/yNLiolMtBWZaNte+pWWmkFLzai9\nepdfTUV4jJGwpSFJQhTvgFx27969goKC4uJi9lxaNze3/fv3r1ixwtLSkkgk6uvrc+4vLi4+\ncuTIgoKCXirsEELW1tbZ2dn5+fnFxcWqqqpqamrd9x4x6hpa3xTRq2oZNfWM6jpGTS2jsRnR\n6czWNvY+BD4yUViIKCxIFBYkCrG/ECRShYhCgkRhQfZW7l5Js3fv3nHjxmG9RAihYcOGXb58\n2czM7NChQwcOHODiE/2ykpISHx+fTZs2bdiwAXudP3/+7ODgsHbt2pMnT+KdjmseP36sq6sr\nKipqYWGBdxYAesWKFSuwL5qbm93d3Z88eeLl5eXg4JCTkzN27NjVq1fv2bMH34SAW7or7Boa\nGtatWxcfH19VVYW1sFishoYGNTW1PsnWr/ENlRGbPkFs+oS2j19oKRn1d5Kqz0cLaKsJjzES\ntjAgUnnks352drahoWGHK6ScnJzq6uoaGhqYTGZNTQ1nxz6Lxfr27ZuoaO8WuCQSSUdHp/Nl\njP+NwWC2ffzS+uZ9c8ar5tcFRAF+kqQYWVKMJCZCUVMhCgoQBfgRZ4nGYDBpzUxaE5PWzKxv\noJdVMGnN2D9GUxNi/PdyDQI/5f9qvv8tBElDhMly0nyKcmQZSQLpZyfJPX/+vMPiQUQi0dXV\ntf9c5Hv16lUlJSV2VYcQUlJS2rVr17x5844cOdJLA+59z9HRMSkpieev9weDzYcPH27fvj1r\n1ixpaWl2Y2hoaH5+fm5urrLy/80XT0xMdHZ2dnR0tLe3xykp4KbuCrsNGzbExMRMnjz57Nmz\nPj4+9fX1d+7c8fX13blzZ5/l6/8oKooUFUXx2W6t7z7QUjJqI29Xn7kqqD9K2NpYyESXwE/p\n1Wen0+nnz59/8uRJY2Ojnp5eQEAA1tPOLSQSqfM9u7AWbW1teXn5Y8eObdmyhb3p6tWrtbW1\ndnZ2XMzwkxgNja15hW0fvrS++9D67iOzpZVvqKyArobcdBcBzRG/c0Uzs6X1/8q+pmYWrZnZ\n1Pz/y77/FoKMusb28kpWaxuBTCLLy1AU5chDZSiKcnwKsuShskSBrq8UZrFYnbsbiUQii8X6\n5bTc9fHjRx0dHc6Q79+/j46ObmxstLW1tbGxWbNmjbi4OI4JuWLGjBlnz541MzPjsbmDYJCL\njY3V1NTk/OyNEIqIiFixYgW7qkMIjRs3ztXVNSIiAgo73tBdYRcbG3vx4sVx48ZFRkZu2rRJ\nUVHx27dvEyZMyMvLU1RU7LOIAwOBwK8xgl9jhMS8qc2v3tEeP686daXqZISQmZ6wlbGgnibq\nhUsdS0tLJ0yYUFJSMnHiRElJyYsXL/7555+RkZHjxo3j1lNYWFhs2bLl/fv3I0aMYDdGRUXJ\ny8urqqoePnx41qxZHz588PT0pFAocXFxYWFh2GUN3ArwM9o+ltTffUR7/IJAJlGGK1JGDitR\nltl2PvzhvXMMBsPAwGD79u2/Mx2YKMBPFOBHkmI/2I/Fon+raS+taP9S0V5S3vrmfWPiE0Zt\nA0KILCXOpyDHpyDLpyjHN1SGT1GOJCaCEDIyMrp79y7nRb4sFuvOnTtmdyd/kwAAIABJREFU\nZma/nJa7xMXFX7x4wX4YFRXl7e2tqalJJBJtbW1jY2PPnDnz4MEDXV1dHEP+PmVl5Rs3bqio\nqJiamnbobz5z5gxeqQD4TUFBQZ0/q2Dz6jo0amhoZGVl9VUu0Lu6K+zKy8tHjhyJECKRSG1t\nbQghKSmpo0ePLlmyxNHRsY8CDjhEoqCepqCeJmvhrKYXr2iPn3/de4pIFRa2MqbamlFUFLj4\nVAsXLqRSqe/evcN66eh0+urVqz09PYuKioYMGcKVpxg7dqytra2zs/Phw4ft7OxoNNrff/+9\nadOmo0ePEonEadOmPX78eMOGDR4eHnQ6XUdHJzIy0t3dnStP/WNMZtPzV/V3H7XkFgjoqEuv\nmCdkMhoRCP/884+Pj4+vr++1NatIJNKtW7dcXFwOHjz4M+v4/BYCgSwtQZaWENT77z33mLSm\n9pKK9i/lWMHXnJnb/rUKMZlEYUE+BdltWhZHrlw+sXjFrCUBosOHVTfR1q5dm5ub+88///Ru\n1J82ceLEnTt3PnnyxNLSsra21t/ff+PGjRkZGVJSUrt27dq+fbunp+f8+fM5i7+B6Ny5cxQK\nRVBQ8NWrV3hnAeC3fPny5fbt21OmTJGRkelQ1dXX11+7do1EIp05c0ZOTo7zJtfFxcUdlikG\nA1d3hZ24uHhRUZGKioqUlFR2djbWZ6OgoJCXl9dX8QYwAoVP2NJQ2NKQ2dhEe5LZ+Ci9/vZD\nirIC1cZU2NqYJP67s9AqKyvj4uJSUlLYY69kMnnv3r0XLly4e/fuzJkzf/snQAghAoEQFRW1\ncePGSZMmsVgsJpMpIyNz8uTJuXPnYjtYWFg8evSIwWAwmcy+m3HFYtFSXtRcucOorhO2Nh46\nbxq7Ym5tbV2+fPmuXbvWrVuHtTg6Ourr6y9fvtze3v7SpUuvX78eMmTI2LFj58+f3weBicJC\n/OrD+dX/u84ti85oL61oL6loL6kgl5QvGzueWVZVt/VIHUK1bS1eTObapZvEUrMbCkrIMpLY\nPwIZt3ufmJiYBAQEjB8/fvny5Qih9vb2uLi4/Pz8lJQUhBCZTN69e7e6unpRURH2IXCAKi4u\nxjsCAFxAp9MjIyOHDBnS3Nz89OnTt2/fSklJVVdX5+Tk5OXlpaamUqlUSUnJ+Pj427dvz507\n9+TJk2QyOTs7Ozo6OjIyEu/4gDu6K+zc3NzmzJmTmprq4OAQFBTEYrGkpKSOHTs2bNigWL+N\nW4hUoSGOVkMcrdrLKmnJz+rv/Vt9KVZQT5NqYypkqkeg/GJtUVxczGQyO1xAwM/Pr6Gh8eHD\nB24E/z8iIiJHjx7duXNnfn4+lUrV1NSkUDpOHCSRSKS+uvFaa+Gn6jNX2z6XiUyyE5loRxKh\ncm598eJFTU3NkiVLOBt9fX2XL19uZGSkra1tY2PT0NCwefPmY8eO3b9/n71WS58hkEmUYUMp\nw/5vfRZphFpbW1+mPv36tlB5iJiRkAizsrrtQ0lTeja9sppFZyACgSwpxi7yyLJSZFlJPhmp\nPrsE+9ixY2PHjv3zzz9fvnzJYrHU1dWvXr3KnowxYsQIAoFQWlo6oAs7AHhAXFzcsmXLsAXL\nGAwGgUCQl5evqKhgMpkaGhqFhYVCQkIMBiMsLCwkJKSkpOTKlSvV1dVKSkrh4eHTpk1zc3PD\n+ycA3NFdYRcaGlpTU0Mmk9etW3f//v2pU6cihKhU6uXLl/sqHk/hk5cWmzVRbKZLS35h46Nn\nVaeuVJ26ImRpQLUxExg1sqez+7GOuvLy8g6jrmVlZR2mynKFuLi4paUl1w/bIyw6o/bq3brY\nBGFLQ+k1/uSuJr3V1dUJCgpSqf9T7dXU1LS0tLi7u1+/fh0bm9i3b5+Tk9OSJUuuX7/eR+m/\nj5+f38zeFtnbdtzAYtGraulfv9Erquhfq+hfq5pz3tC/VjGq6xBCBAofWVaKT06KLCtNlpXk\nk5Mmy0r1UvfezJkzZ86cefXq1YCAgDNnzpDJ/z1vfPjwgcVi9fGsSgAAp4qKisuXLx84cGD2\n7Nn+/v62trZqampNTU1v3rxRV1efN2/exo0bJSUlP378uHr16nnz5r1+/frcuXOnTp26efOm\nvb39+fPnp0+fjvcPAbjmB0Ox7Le9169fP3/+vLW1VVdXlwcugsMTgSCgpSagpcbym9GUnt34\n77PybYfJMhJD7C2otmYkiR/N0P//hg8frq2tvX///lOnTrEbr169WlZW5uTk1DvR8dT2qeTb\nkQuM2nqZ1X5CJt+dqj9y5Egajfbu3TvO2cGXLl1iMpkrVqxgzzgRExPbs2ePo6NjfX19/11o\nl0AgS4mTpcSR1v8sMMRqb6dXVLVXfKOXf6NXVLaXVjRn5dK/VrHa6YhIJEuKkeWk+GSlyXJS\nfPIyfAqyZFkpAl+PV6zszNHRkclk7tu3b+PGjVgLg8EICQkxNDSEGxABgKOoqKjCwkJXV9d9\n+/YdO3aMQCDEx8fX1tbKy8uPGzduzZo1V65cKSoqEhAQ+PPPP69evRofH7927VoHBwcjI6Oo\nqKj+ew4Ev6S70/23b984H2LnbgaDUVZWBh/Qfx+BwidsbSxsbcyormt8lN6Y9LTmyh0hAy2q\nvYWgsU73C+G+fPny1atXs2bN2rVr18ePH318fISEhBISEsLDw//zn//w2Fj5rdjY6hv3rRpR\n8RCKyip/IR2tbnbW0NAYM2ZMYGDgtWvXsE7NhoaG06dPCwsLd+hx1NLSotPpJSUlA+6kRuDj\n41OU41P830FkrHuv4hu9/Ft7RSW9/BvtSRa97CuzuQURiWRpCT55ab6hMnxDZcnyMnzy0mRp\niZ52EouJiYWHh3t7eyclJTk7O7e2tl65cqW0tDQxMZGbPx4AoIe8vLxkZWUPHDjQ2NiYnZ2N\n3by7pqaGxWJVVFQghNTU1DIzM1taWgQEBHR0dAoLCxFCNTU1JBJJUFAQ7/iAy7or7DiXNOyg\n99bZ+vbt28OHD9+8eVNXV4cQEhcX19bWdnBw4NZlnv0QSUJUdIqj6OTxLfmFjYlPK8POEYUE\nqGNNqQ5jOt+srLy83N/f/86dO8OGDaPRaHQ6/dOnT+vXr29sbNTX1+eZ2/zR6XQymdzc3Lxo\n+iz3Jj4zCdl4MeL5V09emZ46cuTIggULuvney5cvu7q6qqmp2dvbk0gk7NoOGRmZDrMAS0pK\nCARCh7WXBzB29572/3TvMWrr20sr2ku/0ssq20u/Nme/oVd8Y9EZBD4+Pnlp8lAZPnkZvqEy\nfPIy5KEyHSYsdjZ9+nR9ff29e/dGREQICAg4OzuvW7euN4b+AQDdq6qqio2NHTZs2L17906e\nPNne3h4UFLR+/XptbW1sjTps4R4ajYYQMjAwiIyM/Pjxo6amZmVlJbbp9OnTtrb/j707D4Rq\nDR8HfmYx9n2QNVIiS5QlJEuWtEgRUlRuUpYWFalUyA3pFrdosSRbWdMmS6IU7ZSsqWvflxjr\njJnfH+f7nd98VVLhDN7PX+Y9Z8555tbVM+953+fRmTFlxgGqsRK7Uc3j+vv737x5k5OTM0mN\nR0gk0sGDB0NCQkgkEiMjI7xMqqenh0gkMjMze3h4HD9+fCaXD/3fR7Q8f23qy3/Tm/38690c\nJtkF7AbLWdQWwwunyGTy+vXrUShUWVnZwoULIQjKyMjYtm2bjY3N2bNnkf4AE2BkZCQsLOzC\nhQufPn3i4OCwllrsLrCARVlC1M1BGs/tCEGhoaG7d+/W1NSUlpb+0UXmzp379u3b+Pj4Fy9e\nkEik06dPa2hoLF68ODU1dcOGDfA5FArFz89PQ0NjjG8vMwOGiwPDxcFE+zCXTCa1dhKbWomN\nrcTG1uHqmr6nr0gd3RCFgmZlYRDiZxDix8LZnhA/gyD/qCLbCxYsmDGl3err68c+gUgkSkhI\njH0OAEyl0tLSlJSU8vJyAQGBlpaWpKSkoaGhOXPmzJkzZ+3ataqqqrt37/7w4UN3dzcej8fh\ncJ2dnRAENTQ0cHJy6unpWVlZlZaWcnFxbdiwITMz8+nTp0h/IGASUH5RYmKinZ3dr75rPNzc\n3Dg5OYODg2tra6mDIyMjVVVVvr6+zMzMfn5+E3IjFAp14sSJCbnUpBqqrmm/HFezxbX2ryOd\nMWnElvacnBwGBoaGhgba0xISEpiZmQkEAlJxTiArKysuLq4zZ87kZ2S93X+qYsPuPYtUiouK\naM9RVVX19PT81Sv7+vpisVh7e/v4+PgrV64sW7aMk5Oz6P9eeTYjDw0P/VdPeP62O/lh28Xo\nRo/Amu1uX8ycvpg51e061nQqqP1K/Nc7j/rflAw3tZJJI79xi4CAABUVlQmP/E9Mxm9IujJd\nftcB4+Tl5cXAwKCqqsrDw8PFxYXBYNBodGRkpKurKwaDwWKxFy9eTEtLQ6FQsrKyOjo63Nzc\nOBxuwYIFGAzG19dXV1cXnhzB4XBGRkYlJSVIf6CZCfHfdb+8pHrDhg1wRasJFx0dffbsWdoq\n/BAEodHo+fPnHz16lIWFJTg4mFqcbGyRkZEVFRU/OrpmzRoxMTECgQBPCjY2Ng4ODvLz89Pd\nS4jEv2Udt+2Gviev6ioq/4tJYmxutVVZLiQoSHuykZHRypUri4uLFRQUkI/5D15WVFS8e/cu\nLy9PCsVYnf6ItEjS6fGdYTzbocOHr1+/Tj1ZQUEBh8N9/vz5l260d+/eZcuW+fv737t3T0RE\nREtLKzk5WUhIiH4+PuIvcXOF2xlQgwKc/IaaeDY2CIIaPn/p7+xiIQwxNLaTmlrrB78MVVez\nlv/H2E3AzuEjKC4Y4eXCs7JzCs9hEBJo7v069o1ERETobW1ufHw8/ENvb6+3t7eWlpa2tjYb\nG1tXV1deXt6bN28CAgKQjRAAIAjq6enx8/NLSEjo6Oj466+/uLm5y8vLP336FBQU5Ovry8fH\nd+7cOSKReOfOHU9Pz6GhIRQKVVpaSqFQ0Gg0mUxuaGhgZGQ8deqUjIxMbGysgYEBFxcX7d52\nYIb55T/ahoYG+Jn9hGtvb4cfL36XoqJiQ0PDOC/19u3b8vLyHx1dvHgxGxvb4OAg/E9Ob2/v\nwMAABwcHnb7E49mNtDDi/JT2zpHcwiNzpOudvbpMVpDwnPDJRCJx4cKFIyMjE/iJMBhMYWFh\na2uruLg4CwvL1Hzejo4OQ72VIu8+Nd/PHdm6miIqQOblWqmt7e3t3d3dPTw8DJ/c1NSkqakJ\n72b9pRvp6enp6elVVFQMDAyIiIjAq+uQ//Ol45cE4vAAFs0tt4BbRx2CoM6KCtTAAOc6Aw7C\nILGxpX24f4g0jHn2uv99FUShdBiqkUUExrgyCwsLvW2ot7Kygn/Ytm3bkSNHaMsfOjs7e3t7\np6enm5ubIxQdAEAQBNXV1S1fvpyJiYmRkdHOzo6JiSk4OJifn5+Pj09ZWRmHw4WHh69Zs8bS\n0vLixYsNDQ3FxcXm5ubHjh3bvn17VVUVHx/fggULsFgskUgEy+lmizFm8w5+w87OTkhIyNjY\neDImD6WkpI4dO/ajo+7u7nJychNyozEeTzQ2Np49e9bBweHEiROFhYUTcrsJ9OrVKz5m1srQ\nG3W7Pf+z2t/2743BTzXBwcHc3NxDQ0MTdZfLly9zc3MzMjIKCwtDEKSlpVVRUTFRFx+Dz1+7\nX5rtrtt1rP/tR3jEwsICbnrT3t4OjxQVFeFwuKysrCmIBxgn8uDQ0Jc6wrM3A+/H+nuC+OOJ\nMXBycsIF+WgVFxdzcXEhEc6EAY9iZ4DNmzdraGgMDg4uWrTo4sWL1JXWz58/h2vRS0pKUiiU\nN2/eQBD09evXly9fQhBUXV2NdOCzF+K/68aasbt+/TrtSxQKxcXFpaurO0mbJw4dOuTg4PDl\nyxdTU9P58+dzcHBQKJSenp6qqqqkpKTk5OTJbqAZExPj6OgoIiKipKRUXl7u6+v7119/hYSE\nTFlPhZ9SVlbWNDIw9D/xb1CQBrfgp6hEvtwXop0tK7kETdeu8ws8++e92GNiYvbu3XvhwoVd\nu3ZhMJja2lq4o9THjx9HVf2dQJRhYtfNe1u+YrO6GpZcP4dhY4HH/fz8lJSUsFhsSkqKsLBw\nQUFBUFCQhYWFvr7+JEUC/AYUIw4jKlhDHOju7pb53xUO0wuRSCwvLxcXF6cdrKqqgntkAwBS\nKBRKdnb20aNH29vbOTg4Ojs7USiUkZHRw4cPk5OTAwMDZWVlq6urCwoKnj59KiEhUVZWZmNj\nY2FhAbcABWYpBJPKb924cWPBggXfBikvL5+amjpRd/nut9iPHz9isdjz58+TyWR4pLCwkJub\n+59//pmo+06Ivr4+V1dX6oz6Ij7BO3b7q632fTDf46agkX//4R9ef9GiRaO2JvT39wsKCoaG\nhv7hlX9ksLy63sW7btexuqwnLCwsJ06cIJFI8KGysjJhYWElJaV58+axsrIqKytfv36d+gcE\n0ImbN2/Ck7sQBGGx2L179/b09Hx7GuLfYsdgZmaGx+NPnjz54MGDvLy8Bw8enDhxgouLa/36\n9UiH9kfAjN1019vbu2PHjvPnz/f29p48eVJSUrKnp6e7u5uZmVlcXLy6unru3LlLlixBoVAo\nFIqTkxOFQm3btq23txfpwGc1xH/XfWfGDsESADY2NjY2Nl++fKmoqPj69Ss8RygtLT0FFXev\nX7+upqa2f/9+6oiampqbm9u1a9cOHDgw2XcfPxYWlnPnzq1du1ZfXz86Otrc3ByHw5EHBvvy\nXm6KRHFH3Gkrq2dftYJJ9jv58U8NDg6WlpaOKmbBzMysq6sLz/NPLHL/QGdYAuHpazYdNZ7t\nZmhW5vj4+O3bt9+8eXPZsmVtbW3Z2dlr1qyBS6ZN+N2BCXHjxo2dO3eeOHHCzs6Ok5MzNzd3\n//795eXlDx8+nEbFia5cubJz504fHx8ymQyPoFAoQ0ND2rYuE24W1uwExoNMJt+7d6+4uBie\nSM7Ozn78+HFRUZGzs/OtW7dUVFQ8PDyEhITa29vnz5+Pw+EGBgYYGRlNTEw2bNiwZMkS2qY7\nwOz0ncROVFT0p2+jTFqBYgiCJCQkpr52VHV19dKlS0cNKisrnzhxYoojGY+CgoKlS5daW1vD\nL9HMTOyrVmD42bYZr49XlOnz+pdBWIDDSItVWxXN/J2UiEQihYaGpqam1tbWSkhI2Nrabt26\nFYVCodFoFAo1MjIy6vyRkRE0Gj2xH2H4c23rPxEoDEbQ5wCj9P88NTAxMamsrIyKiiotLZWX\nlz9w4MDMqLc8U1EolOPHj586dYraZGzNmjUyMjLS0tK5ubm6urrIhjd+vLy8qampHR0dZWVl\nvb29rKys0tLS/Pyjy4NPlNlesxP4sdLSUltb25qaGhMTk0ePHtXW1nJycvb19dXV1WlqaoaG\nhpaUlOzfv7+7u5uPj8/c3FxVVVVUVHT58uXUWXMA+E5iNztLALCzs3d0dIwahJc1IBLP2AgE\nAtwvixYvHv+stZ5ovVps95bezPzupPSumDQWzSXs+pqMC8Spp/X19RkYGFRVVe3evdvGxqak\npMTR0TElJSU5ORmHwykqKqampi5fvpx6fk9Pz6NHjyb2D7334ZPOqBRWdSWeXVZoJkbaQ3g8\n/uDBgxN4L2Dy1NXV1dXVjWofPm/ePGVl5WfPnk2jxA7W1dVVX1/f3NxsY2PDy8vb3d3NxTXe\n3s2/5NixY1FRUf/884+pqSn1izSZTP78+XNCQsLp06dxONw4SzsBMwP8ZTsoKKi6uhqLxbq4\nuFAoFG1t7SNHjmzcuLGtre3t27dKSkqOjo7q6uoEAuGff/6hq0dJAH0Z4zGtra3txYsXRw16\neXlNUoHiKfPddSdxcXHs7Oy0tZFJJJK2tvaWLVumNrpxCQ8PnzNnzqidsElJSaysrIODg/BL\nMpFEyH/TdCr4i7lzg+vfX+/mkDq6KBSKj4+PqKhoc3Mz9Y0VFRXs7OxRUVEUCiUtLQ2LxXp5\neXV2dpLJ5NevX6urq8vIyAwMDFDPz8nJ8fX1PXr0aGJiIpFI/KXIR/oHWs+F/7d5f0/2s9/+\n+ACdqK6uhiCopqZm1Liuru63/4shvu5kDH19fbTpaVlZ2adPn/j5+SdpP7igoODVq1d/dPT8\n+fMSEhITciOwxm66MDc35+Xl3bNnDxaLjY6ONjAwwGKxd+7coVAoT58+RaPR//zzj4WFBQMD\ng6GhISgsTOcQ/103VmI3q0oAkEgkPT09QUHBixcvFhQUJCUlwf2mPn/+jEiQY+vq6sLj8bt3\n76bmW+Xl5fPmzXNycvr2ZGJTW2fsnbo9J76YOzd5nj+qbXzOy2fUObt376auE09KShIREYEg\nCF7ZtmHDhvr6evhQd3f36tWrcTicpqamvr4+JyennJwcXAlzPIa+1NU7n6p38Rr6Uv87Hxug\nM8PDw9zc3OHh4bSDnZ2dbGxsKSkpo05G/JfdGPbu3SskJBQVFVVbW8vIyFhWVjY4OGhmZmZh\nYTEZt2NgYMjLy/vR0cePH+NwuHFe6syZM7t+DIKg/fv3T1DUwGTJysrC4XBFRUX+/v7Lly+n\nUChPnjyBIEhPT49CoZBIJDQanZubS6FQFBUVL1y4gHC4wM8g/rturIVT8MrNUYMztQQABoN5\n8OCBi4vL2bNn1dXV7e3t582b9/btW/rsFMnFxZWSknL37t358+ebm5vr6+srKCjIycl994Ep\ndg6e23qdyKVTgr6uuHmiphxCGz60NJ8M6rnziNjYCp8zd+7clpYW+GczM7Pq6uq3b9+mpaXV\n1tbCpUbgQ3v27Pnvv/9KSkry8/OzsrI+f/48b968DRs2EInEn8bcm5Xf5HEON09M0N8NJ47Y\nchAymRwREaGoqMjExCQiIrJ9+/bxF74GRmFgYNi3b5+bm9u9e/fgkdra2k2bNomJia1ZswbZ\n2H5JQkLCtWvXbG1tqQ9GGRkZPTw8srKyJuN2EhISmZmZPzr68OHD8a9//+niV7BWj/5lZmZq\namp+/PiRSCTCK4LgX7l5eXlDQ0MEAoFMJrOwsBCJxP/++w+spQN+aqw6dsbGxjY2Nk5OTmpq\naqysrH19fYWFhcHBwTN1PTv8q9zDw2NgYICZmRnpcH5CS0urvLw8Li6upKREWlraw8Nj5cqV\nY70BhWKUkmCUklh7JXCrpq7VPNHerPzOG6kMInNYVBf3ln0So9k0g8PhlJSURl2go6MjISEh\nKyuLWpKGh4fn+vXrQkJCjx49WrVq1Y/uTB4Y7Lhys/9FMc8OM3bD5T86bWrY2trevXv34MGD\nampq7e3tISEhCgoKz58/H6PrCTAGT09PeHKLi4uLi4ururpaU1Pz3r17OBwO6dB+QXd3t5yc\n3KhBTk5OAoEwGbebwJqdbm5uYxy9du0a2GNLn0ZGRj5//lxVVZWamhodHT00NFRdXa2url5Z\nWZmZmWloaCgrK/vx48eurq74+HheXt7Fixf7+vqi0eiZ+u8vMJHGmM1rb283NTWl/UYIl0ak\nXZ41HU32upPBwcHh4eHJu/4funDhAh6PhxcPDdc3dydnVDqd+GzmVGl7sCM8YeB9xY9avBcW\nFkIQRLvYDqakpHT+/Pkf3W7ov/p6F+96p1NDn+sm8FP8npycHAYGhqKiIurIyMjIqlWr1q5d\ni2BUM0BNTc2tW7euXLlSUFDwo3MQfzwxBhkZmUuXLsE/w49iKRTK5cuXpaSkJumOCNbsBJDS\n3d3t6empr68vJycH78vBYrH6+vpLly4VERFJTExUVlZmZ2dnZ2cPDAx0dnZGoVA8PDxoNNrM\nzExLS4uZmXkC/24Akwfx33VjzdhNcQmAGSAlJeXkyZNlZWVoNFpRUfHMmTM/mUWbNF+/fn39\n+nVLS8vChQvh8pXUQ46Ojrm5uYqKips3b5aQkCgtLU1MTDxgZ3/cdF3/y/c9GU/RLMwsyvIs\nqgpMMvMhFEQZIWPYWCA0moWFBYKg7u7uOXPm0N6ru7ublZX12xjIA4N9T193Xk9mWSrH67jl\nu4VXptiDBw90dHQWL15MHUGj0fv27Vu/fj2JRAJdsX+bmJjYFBSbnDw2NjZ79+4tKSlZtWoV\nmUx+8uRJXFzcuXPnvLy8Ju+OSNXsBBBRUlJiYGDAycmpoqLy+PFjAQEBAoFgZWUlKyublZX1\n7t27ly9f5ubmamho8PPzBwQEtLa2QhCEwWDk5OQaGxuVlJRu3LgxqjkKAHzXz/8l4+XlpS1+\nAfzImTNnvLy8XF1dL1++TCQSk5OTV61aFRYWtm3btimOJDw83M3Nra+vD4/HNzQ0aGhohIWF\nycjIwEcZGBhSU1OTk5OTkpIePnwoKSn58OFDOAHlMNYm9/b1vynpf1Hcdj6SMvw/K+cwPFxs\nK1QWaCkLCgqGh4cfO3aMeq/s7Oyamho9PT0IgiAKhVjfPFT131DFl6Gq/4brmlAMWG4bUw5j\n7Sn+L/Aj3d3d334zERAQGB4e7uvr4+TkRCQqAHHu7u4EAuH8+fOhoaEQBDk4OLCwsBw4cGCy\nK+8gUrMTmGLV1dUXLlyIiopiZWXdvn17RkaGra1tRESEpKRkTk7O2bNnXVxcxMTEQkNDk5OT\nOTg4CgoKhoaG1q9ff/XqVTCTAvyG7yR2+/fvt7Cw0NDQoG3DMMqFCxcmM6rpp7W11cvL6/r1\n61ZWVvCIjo6OuLi4q6urlZUVIyPj2G+fQAkJCXv27Dl37hy8c76+vt7R0dHAwKC0tJS2Jp+Z\nmZmZmdm3b0ezs7LpqLHpqFGGhokNLRBEQTEyDhSX9+W9+Ho7K0/X8sOjogflLmLqyqj5Ym/z\nnmam3I7e7syd964lLn2oqobcP4Dl5WKUkmDTUWOUksDNE0XhGKbss/+UhITEzZs3Rw0WFRXh\n8Xj6LFgITA00Gu3r63vs2LHi4uKvX79yc3PLy8vDU9QA8Nt6enpCQkK8vLwWL17c29trbm5+\n6dKlpqam9evX19XV8fHxvX///smTJxYWFqampj09PVpaWnDBqfuRpzDBAAAgAElEQVT372tr\n08v3YWDa+U5il5SUpKysrKGhkZSU9KO3gcRulCdPnrCwsFhYWNAOOjg4uLm5vXnzRkNDY8oi\nOXPmjKurq4uLC/wSXroxf/78qKgo6uB4oBhxuHn/s52CQViAY7U2sbFl+Et9T37h+5w8rns5\nQizsyyhklaXanAIipLZOnLgIu8FyRilxDM+k1HSdENbW1t7e3gEBAYcPH4YfT3/69OnUqVM7\nduwAmwdns7CwMB0dnfnz56urq1MHm5qa7O3tqRt+AWD8qqur9+3bd//+ffglvFT9ypUrQ0ND\ntra2ra2tWCxWSkqqoqIC3pWPw+EwGMzevXsrKiqwWCzI6oA/MVav2J82jQWoent7ubi4RpUe\nYGNjw+FwPT09UxYGiUR6//79qLSbkZFx5cqVf97slUFIgEFIYKnm0qXuTn29vQNdX/FiIn94\nzSkmLi4eFRVlb28fGxurpqbW1taWnp6ur68/eUupgGnB3t6ek5MzOjp63bp11MG+vj7qP8wA\nMH6NjY0aGhoKCgru7u4xMTGJiYnw5uWXL19qamo2NjZmZWUdPnx4586d0dHR5eXlRCIxOzt7\n586dt2/fDg8PH/+eaAD4rp/UQMrIyIDLm5FIJH9/f2tr6/Dw8CkJbJqRkpKqq6ujloKDvX//\nfnBwcCpbMqNQqKlp9srKzj7tsjqYpaVleXn5pk2b+vv7xcTEkpKS7t27R//VbYDJtnr1alNT\n01OnTlEmsxE2MLMRicRr164ZGhoODw9ra2uTyWQpKSl1dfVHjx6tWLHC3d19ZGRk9+7dBAIh\nMDCwsLCQiYkpOjoaj8fX1dXFxMRYWloeP35848aNSH8OYHoba/PEtWvXdu/eXVBQICAgcPLk\nSX9//6VLl6ampvb39//SQ73ZYNmyZTIyMn/99Vd0dDQ3NzcEQU1NTQ4ODgYGBvPmzZuyMDAY\njLKy8u3bt/9nNwMEQRBEIBCysrK8vb3hl5WVlUVFRVgsVkVFRZSmdt3sISQkdPz4caSjAOiL\nt7f3hg0bduzY8fbt25iYGLDmEhg/IpH4+PHjFy9ehIWFEQgENBotLS0dGxtbV1cHb8nKzMzU\n0dG5fv26iooKvBnx7NmzRCKRn5+/s7OTh4dn9erVS5YsWb9+/VROBAAz1ViJXVBQUFBQkKqq\nKolECgkJ8fb2Pnr0aGRk5Pnz50FiNwoGg0lKStq4ceP8+fM1NTWJROKzZ88WLVp048aNKY7k\n5MmTJiYmnJyc+/fv5+HhKSoq2rt3LwcHh42NTXd3t5OTU3x8PB8fH5FI7O3tdXR0PHv27PSq\nJQsAk2TTpk0yMjKmpqYqKiq3b99mYKCjfT8A3SosLNyxY0dNTQ0Wix0cHMThcFxcXFZWVk5O\nTvb29lFRUdeuXTMxMfn8+TMzM7OWltaNGzdYWVnXrFmjp6eHw+EWLFigrq6OwWCQ/hzAzDHW\n47nq6mq4ncCLFy+6u7u3b98OQdDy5cs/f/48NcFNL1JSUkVFRcHBwVJSUosXL75+/XpBQcGo\nkm9TwNjYOCkp6caNG3g8npmZecmSJTw8PNnZ2czMzFZWVsXFxa9evWppaens7ExPT09OTh5j\n7zMAzDZycnKvX7+WlJRUU1NLSUlBOhyA3jU3NxsbG6urqxcXFxMIhKdPn168eLGpqSkmJgaD\nwTg4OMybN2/37t379u2LiopiZmZ+/PgxAwPDq1evbt265eDgsGPHjuXLl4OsDphYY83YMTMz\nDwwMQBD08OFDeXl5ISEhCIKGhoZAHdcfwWKxW7Zs2bJlC7JhrF+/fvXq1aWlpa2trdLS0vDz\n1nfv3mVmZpaVlVF7Z+nr64eFha1bt87b2xuPxyMaMgDQCy4urnv37p04ceLIkSNIxwLQu/Dw\n8Dlz5oSFhb1+/ZpCocjLy6upqeXk5MTExJw+fRqDwSxYsMDY2DgvL6+kpGThwoWrV68+evQo\nLy8v0oEDM9lYKdqSJUt8fX0tLCxCQ0Opz15v3bpFLXUL0C0GBgba/goQBBUVFYmLi4/qiAq3\nHfzw4YOuru6UxgcA9CQ9PR3+4gpDo9GnT59WUVG5e/cuglEB9GlkZKStrY1EIvn4+Ny6dYtC\noVhYWNjY2EAQ1NTUJCkpaWtrGxcXd/PmzYGBgYaGhvz8fCYmpri4OGqVUwCYVGMldn///bex\nsfGtW7cUFBT27dsHQVBiYqKvr29iYuJUhQdMGDQaTSKRRg2OjIxQKJSJ3TALjNPIyMidO3c+\nfPjAzMysoaGhqamJdESzF7zmZJT169evX79+6oMB6FZ9fb27u3tKSsrg4CAKheLn5583bx4z\nMzMGgzEzMxMUFAwMDNy9e3d7ezsjI2N+fv6pU6cuXboUGBi4adMmHh4epMMHZouxEjtVVdWm\npqaGhgZxcXG4fKuKisrz58+XLVs2VeEBE2bZsmV1dXWvXr1SUVGhDsIrxJWUlBAMbHYqLy+3\ntLT88uXL0qVL+/r6jh49um7duhs3brCxsSEd2iwCuuwA49fY2KiqqiohIZGcnHzgwAFhYeGO\njo7GxkYKhZKenq6jo+Pq6lpVVZWcnFxcXLxgwQIPD4/w8HB/f38HBwekYwdml5+slsPhcCMj\nI7du3WpubraxsREXF+fiot++AsAYFi5cuGXLlo0bN/7777/GxsYkEikhIcHV1dXNzQ1Udphi\nw8PD69evX7hwYU5ODrzaprS01NTU1MXFJTIyEunoZhHQZQcYPz8/PyEhodzc3JqamsrKygcP\nHggICMjKyg4ODq5cuTIgIICdnV1VVfX+/fvv3r1jY2Pj5eXNyMigrTwFAFNjrMSuv79/+/bt\n1Aevq1at6u7u1tDQePr0Kai1Mx2FhYWdPHnS0tKSTCaPjIywsbF5enpOdptz4FtZWVl1dXUv\nXrygfk1atGjRv//+u27duvPnz4PvTlMGdNkBxu/Ro0cODg4MDAxtbW0QBImIiDAyMm7evPn5\n8+eLFi2ytbVta2s7c+aMgoLCkydP4GJ1AICIsRZXeXh4PHv2LCoqqra2Fm5jLyIioqWl5enp\nOVXhzWQUCiU+Pn7FihVz5sxRUlLy8PDo7e2d1DsyMTH5+/u3tLQ8fvy4sLCwsbHx8OHDYIHd\n1CsvL1+0aNGoBA4uf/jp0yekopqF6n/my5cvSMcI0Iu+vj642rCIiAgEQZWVlRAEcXFxCQsL\nCwsLJyYmsrOzh4aGFhcXg6wOQNZYM3YJCQnh4eGrV6+mjjAyMnp4eMBbKYE/ZGtrm5KS4uzs\n7Ojo2NTUFBISkpCQ8OzZs8kufcfFxQV+7yCLhYXl2w7C8AgLCwsSEc1S4+m8AjqMATBpaenC\nwsJt27aJiopqaWm5ubklJycXFBQICQnZ2dn9+++/jIyM1tbWSIcJAGMmdt3d3XJycqMGOTk5\nCQTCZIY0K6SnpyckJLx8+ZJalGT37t3Lly/39PS8du0amUwOCwsLDw+vrq4WEhJat26dh4cH\nWFY/Y+jo6Dg5OeXn59Nm2BEREcLCwtLS0ggGNtvEx8fDP/T29np7e2tpaWlra7OxsXV1deXl\n5b158yYgIADZCAF60N/fn56ezsfHFxYWJisr6+zsHBERYWtrq6ysXF5evm3bNlNT04qKips3\nb4L1ygA9GCuxk5CQuHfvnqOjI+3go0ePJCQkJjmqmS8tLW3NmjW0peaYmZkPHDjg6up65coV\nExOTZ8+e7du3b/HixbW1tf/++29SUtLz589BWcuZQUZGxsHBwcTE5NSpU4aGhv39/dHR0Rcv\nXoyJiQFPxqcSta7Ytm3bjhw54uTkRD3k7Ozs7e2dnp5ubm6OUHQAXXj8+PGOHTu+fv26aNEi\ndnZ2FxcXb2/vtWvXGhgY3L9/X1FRsaGhQU9PLy0tjbYUIgAgaKzEzsbGZu/evSUlJatWrSKT\nyU+ePImLizt37pyXl9eUxTdTdXR0CAsLjxoUERHp6Oi4efNmbm5uVFSUtrY23BBi586dampq\n3t7eQUFBSAQLTLyLFy/KysqePn0arhCpoKBw//59Q0NDpOOapdLS0r79tWZqaqqtrR0eHo5I\nSAA9qK+vNzEx2bFjh5+fH7xMIiQkZP/+/T09Pby8vHfv3hUUFEQ6RgAYbazEzt3dnUAgnD9/\nPjQ0FIIgBwcHFhaWAwcOgH2Uf05UVPT9+/ejBktLSwUEBPbu3dvX1wfPE6xduzY4OFhCQsLZ\n2TkgIAAkdjMGBoNxdnZ2dnZuaWlhZmYGT3CQRSQSy8vLxcXFaQerqqqGh4cRigigCxEREeLi\n4kFBQXAl15qaGlNT06amprt3745RIgcAkDXWcx80Gu3r69ve3v78+fP09PTCwsK2trbTp0/D\nf8WBP2Ftbf348WPaHh7//feft7d3e3s7DofbtWtXf3//y5cv+/v7tbS0Ojs74WKYCAYMTBIB\nAQGQ1SHO2NjYxsbm1KlT6enpT548SU9PP3ny5M6dO8FGsVnu48ePWlpa8D95RUVFUVFRjY2N\nOjo6paWlYFcNQLd+UqAYgiAWFhZ1dXXakYGBAWZm5kkLaVZQVlb29/e3tra+du3a0qVLGxsb\nk5KSODg4dHR0JCQkmpubmZmZVVRU0tPT5eXlL168yMDAMGo6AQCAiXLlypWdO3f6+PiQyWR4\nBIVCGRoaXrlyBdnAAKRQKJTi4uLm5uaurq6vX79ycnLy8PBYW1vPnz8/LS0Nh8OBCQ6Abn1/\nxq6qqmrnzp36+vq7du168+YN7aEnT56M6i4P/J5Dhw69fftWWlq6qKgIhUJFRkYyMjJaWVlt\n3br13r17t2/fhiAIh8OZmppmZGT8888/tra2SIcMADMTLy9vampqa2vr06dPHzx4kJeX19zc\n/PDhQwEBAaRDAxBQWVmpo6OjpKT0/v370tJSVVXVq1eviomJzZ8/H4Kg6OhoHR0dpGMEgB/6\nzoxdcXGxpqYmiUSSkJAoLCyMjIy8ffv2mjVrCASCu7t7aGgoaDsxUeTl5YODg6kvDxw4wMTE\npKWl5ePjs2nTJh0dHQUFhYcPH5aXl5ubm+/duxfBUAFgBnv69KmCggIvLy8o8QgQCAQDAwNZ\nWdmamprOzs7U1NQXL144OTmNjIyoqqqeO3fuwYMHz549QzpMAPih78zYeXp6iouL19TUlJWV\nNTU1GRsbHzlyJCMjQ1ZWNiIi4tSpU9+u+p8CDQ0NFy9enPr7TqXFixdnZ2dDEHT06NE3b97I\ny8tXVlZ2dHSYmJjcunWLgYEB6QABYGYyNDQsKytDOgqALsTExBCJxOTkZDExMR4enrVr10pI\nSJDJZEdHR2Vl5dra2vz8fCUlJaTDBIAf+k5i9+bNmwMHDsDPINjZ2f38/OCKJwsXLvzw4cOJ\nEydwONyUxwlVVVW5uLhM/X2nkqura3R09D///EMikRQUFHx8fObNm9fb2xsYGIh0aAAwk1lY\nWERGRoLl8LPZyMhISEiIqqrqgQMHWFhY/P39BwYGxMTEVFRUQkNDc3JyUChUU1NTfn7+kiVL\nkA4WAMbynUexTU1NtCWI4VUFQUFB4FHgZNPX14+MjNy/f7+3t7eoqOjnz58FBATu3LkjKSmJ\ndGgAMJPNnTs3NTVVXFxcVVUV7gdKFRYWhlRUwJQhkUirV69+8+bNvn375s2bJyUl9e7dO1VV\n1fz8fPjvAwaDgSCIm5sb6UgB4Oe+k9hRKBTa8vfwzxoaGpMdytatW8c42tLSMtkB0IOtW7eu\nXbs2Ly+vrq5uwYIFK1asABuQAWCyXb9+HYfDMTMzf/jwAelYgCk1PDxcWVkZFxf38uXL4uLi\nuXPnXr58OTY2Nj4+Xk9Pz8/P78yZMxAEpaamKikpMTIyIh0vAPzcz8udTJnk5GQ2NrYfbUPr\n6+ub4niQwsXFtX79eqSjAIBZpLa29tvB4eHhjx8/Tn0wwJSJjY09fPhwU1MTBEE8PDz+/v6+\nvr7bt2+/cOGCpaWliYnJnTt33N3dg4ODg4ODU1NTkY4XAMaFjhK7gIAAf3//x48f8/HxfXs0\nNzdXV1d36qMCAGB2qqio0NbW7unpQToQYCJRKJSampr//vvvzZs3Hh4e3t7e9vb2f/311+LF\niysrK01MTPLy8rKzs52dnc+dO4dCobi5uUVEROLj49euXYt07AAwLt9P7DZu3Dhqh8SqVauw\n2P9/cnNz84SH4uLikpmZuXXr1vT09D9shT44ODgwMDBRgc1aL1++9PPz+/DhAzs7+/Llyz09\nPb+bcwPAdNfb2+vu7p6RkUHt70KhUHp7excsWIBsYMDEKi0t3bNnz5MnTzAYzMjIiKCgoK6u\nLi8vLx8fX2tra0BAgJSU1MOHD1evXn379u39+/c/fPgwLi5OVlYWPIQFppHvJHZbtmyZ+jhg\nkZGRSUlJTU1NwsLCow5xc3OvXLlynNdRVVUde61MY2Pjb4Y4awQFBR08eNDS0tLd3b23tzcm\nJkZaWjo3N1deXh7p0ABggnl4eNy+fXvDhg2RkZG2trY9PT3379/ftm2bj48P0qEBE6axsXHF\nihWampplZWXs7OwiIiLLly/ftGlTRkbGpk2b1qxZY2pqqq6uXlBQsHr16vfv39+4ccPHxwfs\ngQWmne8kdjExMVMfBwyPx+/evfu7h6g13sYjJydnjAcokpKSgoKCvxPfrFFbW+vm5hYZGWlj\nYwOP7Nu3b9OmTXv27MnPz0c2NgCYcGlpadHR0StXrrx169bx48dFRETa29uNjY1LS0tFRESQ\njg6YGMHBwSIiIikpKRgMpq6uTkxMTElJiYeH58yZMzdu3Dhy5MiaNWu4ubn7+/vLy8vT0tIs\nLCx+9O8RANAzOlpjN4HweDwej//RURQKBdr8je3BgwfCwsLUrA6CIDQaffz48SVLlrS0tIA+\nS8AM09zcDBcVwmAww8PDEATh8fiLFy86OTkZGhoiHR0wMQoLC9evXw8XLhESEuLh4WFgYFBU\nVDx37hwEQT4+Pnp6eqtWrRoeHubl5b137x74owemqT9ayjbZCATCsmXLEGl0Mcu1traKioqO\nGpw7dy58CImIAGAScXNzV1dXQxCEx+OLi4vhQWFh4dLSUkTjAibSyMgIAwNDX19fe3s7BoOx\ntrb28fEpLi4eGRmBIOjLly8+Pj6SkpKFhYWXL18GWR0wfdH1jB2JRHrx4gXYlTb1REREPn36\nRCaTaXexVFRUoNFoISEhBAMDgMlgYmKydevWZ8+e6evr79u3j0Kh4PH4S5cuiYmJIR0aMGEU\nFRWfP3/OxMQkJSVlYmJy6NChwcFBLy8vNBotISFRU1Ojq6v74MEDRForAcAEousZOwAp69at\n6+3t9ff3p4709fV5eHisWrWKl5cXwcAAYDKcPXtWQ0MDi8W6u7uzsrKamZlpa2s/ePAgICAA\n6dCACbN3797Pnz+3tLRoaWlBEDQ0NEQikdBotI+Pz6lTp16+fPno0SNxcXGkwwSAP0XXM3YA\nUvj4+MLCwrZv337//n09PT0CgZCQkMDExJSTk4N0aAAw8bi5uZOTk+GfS0pKXr16NTQ0pKCg\nAFpIzQwDAwMDAwMLFiy4cuWKvb19UFCQqKhoQ0MDHo9PTEwEBeGBGYauEzs2NrasrCxQXwMR\nFhYWqqqqQUFB+fn5HBwcBw4ccHJyYmJiQjouAJgw9fX13x2Hd8L29fV1d3fTNs6eGg0NDamp\nqc7OzlN835mqtbU1NjZWTEwMnogtKSkpKCj4/PmzqKiouro6Kysr0gECwASj68QOi8Xq6+sj\nHcXsJS4ufv78eaSjAIDJ8u0OoW9RKJQpiIRWVVWVi4sLSOwmSn9/v5ycHLVxEQ6H09bW1tbW\nRjYqAJg8dJ3YAQAATJ74+Hj4h97eXm9vby0tLW1tbTY2tq6urry8vDdv3oA1dtPX8PBwf38/\nFxeXuLg4WDkHzCogsQMAYJaysrKCf9i2bduRI0ecnJyoh5ydnb29vdPT083NzSf8vlu3bh3j\naEtLy4Tfcbbp6OiIjY0VEBCwtLREOhYAmGogsQMAYLZLS0vz8vIaNWhqaqqtrR0eHj7ht0tO\nTmZjY/tRoe++vr4Jv+NsQyAQJCUl9fX1yWRyREREbGxsdXW1mJjYpk2bHB0dGRgYkA4QACYR\nSOwAAJjtiERieXn5qAd2VVVVcBeKCRcQEODv7//48WM+Pr5vj+bm5lIXhAG/hEQi9ff3c3Bw\nzJ07d+7cuSQSafXq1YWFhY6OjnZ2dtXV1b6+vrdu3crOzmZhYUE6WACYLCCxAwBgtjM2Nrax\nsXFyclJTU2NlZe3r6yssLAwODjYwMJiM27m4uGRmZm7dujU9PZ22BvhvKCkpaW5u/tFRCoVC\nJpP/5PrTSHd3d1xcHCcn55YtW+CRiIiIV69eFRUVUVP2PXv2LF26NCgoyMPDA7FAAWCSgcQO\nAIDZ7sqVKzt37vTx8aGmQSgUytDQ8MqVK5N0x8jIyKSkpKamJmFh4VGHuLm5V65cOc7r2Nvb\nFxYWjnHC7OkB+PXrVyEhISMjI+rI7du3t27dSjsRKyAg4ODgkJqaChI7YAYDiR1AL3p7ewMC\nAnJzc7u6umRlZV1dXdXU1JAOCpgVeHl5U1NTOzo6ysrKent7WVlZpaWl+fn5J++OeDx+9+7d\n3z20ePHi7OzscV6noKBgjKNoNHrOnDm/HNy0MjIyMjAwwMbGBj9+pT3U3t6up6c36nwxMbHZ\nk+wCsxNoKQbQhS9fvsjKyt68edPIyGj37t0oFEpTUzMwMBDpuIBZhEKh8PHxSUhI8PPzd3Z2\nlpeXl5eXIx0UMJbe3t6IiAhq15BRREREKioqRg2Wl5eDFsDAzAZm7AC6sG/fvvnz56enpzMy\nMkIQ5OzsfOvWra1bt5qYmEhJSSEdHTDDFRQU2NjYVFdXf3toagoUEwgEfX39q1evKigoTMHt\nZoyuri5OTs7Vq1d/96i1tbWtre1ff/21bNkyeKSkpOTy5ct+fn5TGCMATDWQ2AHI6+/vT09P\nz8jIgLM6mKWlpa+v7+3bt93c3BCMDZgNHB0dxcXFjx07hlRzWBKJ9OLFi56eHkTuPu1QKJTB\nwUFmZmYxMbExpt/MzMweP368fPnyjRs3Llq0qLq6OiEhYePGjTt37pzKaAFgioHEDkBeR0cH\niUQatT4GgiAJCYkxdvwBwESprKxsbW0FbUOnhf7+/oSEhJGRkb/++mvsM1Eo1KVLl8zNzWNj\nY3Nzc8XFxZOTk9euXTs1cQIAUkBiB/wCIpF45cqVnJyctra2RYsWOTs7y8vL//ll8Xg8Doer\nrq6WlJSkHf/06dOKFSv+/PoAMDY8Ho/Fgl+G00NHRwcOh1uzZs04z9fV1QV1AYFZBWyeAMar\nra1NWVnZx8dn7ty5hoaGdXV1S5YsCQ4O/r2rUSiUuLg4IyOjhQsXrl27dtGiRSdPniQQCNQT\nIiIiPn36tHHjxgkKHwB+aOfOnf7+/ggGwMbGlpWVNSFfk2YqCoUyNDQEQZCoqKi1tTUnJyfS\nEQEAnQJfUoHxcnNzQ6PR5eXl1HVI0dHRdnZ2hoaG0tLSv3QpMplsbm6emZlpb2+/adOmz58/\nX758eXBwUFpaeuvWrdzc3E+ePMnMzAwODpaQkJiEjwIA/weRSAwLC0tMTFRQUGBmZqY9FBYW\nNgUBYLFYfX39KbjRNDU4OJiSkkIgEHbt2oV0LABA70BiB4zLyMhIYmJidHQ07epyGxuboKCg\nxMRET0/PX7pabGxsdnb2mzdvFi5cCI/s3btXWVlZTk6uqKjo69evixYtevv2LZjAAKZGVFQU\nGxsbkUh88+YN0rEA39He3j48PGxmZoZ0IAAwDYDEDhiX7u7uvr6+BQsWNDY25ubmNjU1SUpK\nGhoaSklJ1dfX/+rVUlJSrK2tqVkdBEFz5sxxcnJKTEx8+/bthAYOAD9XU1Pz7eDw8PDHjx+n\nPhiAFolEwmKxIiIi27dvRzoWAJgeQGIHjAsnJycTE1NwcDDcjVFISKiqqoqLi4uNje03lsG1\ntraqqqqOGhQXFwd7YAH6UVFRoa2tDUqQIGV4eDgtLa29vX3Pnj1IxwIA0wnYPAGMCxaLVVRU\nDA8PDwoKqq+vf/XqVWNjo6Ki4sePH6nFP8cPzgtHDVZWVoqIiExQvADwC3p7ex0dHSUlJbn+\nFycn5+LFiwUFBZEObfZqa2v7+vUr2D4FAL8KJHbAeA0PD7OxsZ05c8bPz+/atWuOjo737t0T\nFBTMz8//1UtZWVnFx8e/fPmSOvLp06dLly5t3rx5QkMGgHHx8PC4ffv2qlWrhoeHrays4E4G\n27Zte/ToEdKhzUZkMhmCIGFh4Z07dwoICPzSe7u7u0+ePGlkZLRy5cqDBw82NjZOTowAQL/A\no1hgvKqqqsLDw9+/f3/nzp3Ozk4ZGZns7Ox79+59+PDhVy+1ceNGW1tbTU1NKysrWVnZz58/\nx8bGrly50tnZeTIiB4CxpaWlRUdHr1y58tatW8ePHxcREWlvbzc2Ni4tLQWzyFOJRCI9ePCg\nrq7OycnpN95eXFxsZGTEzc1tamrKwMCQkZFx9erVpKQkIyOjCQ8VAOgWSOyA8cLhcBQKxcfH\nx8fHhzp469Yt2j5gVHV1dampqV++fBETEzMxMRlVeRiFQl25csXMzCwqKurOnTuioqIRERGW\nlpaT/hkA4Huam5vhv6IYDGZ4eBiCIDwef/HiRScnJ0NDQ6Sjm0Xa2toaGhrWr1//e2/ftm2b\ntrZ2TEwMAwMDBEFeXl5ubm7btm2rrq4GbUWA2QM8igXGa8WKFbGxsbQjvb29d+7c0dbWHnVm\nSEiItLR0aGjoly9fIiIiZGVlAwICvr2goaFhbGzs8+fPb926BbI6AEHc3NzV1dUQBOHx+OLi\nYnhQWFi4tLQU0bhmEQqFAkGQoKDgnj17fm+WtKysrLi42N/fH87qIAhCoVDe3t4EAuHx48cT\nGSsA0DcwYweM16lTp9TV1Tdv3uzu7i4qKlpUVOTm5sbBwVF0F2YAACAASURBVDGqY2NeXt7e\nvXuvXr26Y8cOFAoFQVBCQsLWrVtlZGTWrVuHUOwAMBYTE5OtW7c+e/ZMX19/3759FAoFj8df\nunRpjAbzwEQhk8mZmZlVVVUuLi5/cp2GhgYsFisuLk47yMzMLCoq+hslmQBg+gIzdsB4KSgo\nPH36tLa2VklJCY/HGxoaysnJ5ebmsrCw0J529erVjRs32tnZwVkdBEEWFhbbtm27fPkyElED\nwM+dPXtWQ0MDi8W6u7uzsrKamZlpa2s/ePDguzPNwMRqa2urrKxcu3btH15HQECARCKN2i1B\nJBIbGxt/dQcGAExrYMYO+AVLlix59uxZZ2dnQ0ODpKTkqJQOVllZ+e1z1WXLlp05c2ZKYgSA\nX8bNzZ2cnAz/XFJS8urVq6GhIQUFBdo+K8AkERAQ2Lt3759fR05OTkpK6tSpU1euXKF+qwwM\nDMRgMCtXrvzz6wPAdAESO+CX8fDw8PDw/OgoGxtbd3f3qMGuri42NrZJjgsAftPNmzc3btyI\nw+EgCMJgMHBpxoaGhvj4eEdHR6Sjm4EoFMrjx48/fvz4h49fOzs7L1y48Pr1axQKpaKiEhQU\nZGFhUVJSsmnTJkZGxnv37mVnZ8fGxnJwcExU5ABA/8CjWGCC6evrx8XFEQgE6sjg4GBUVJSB\ngQGCUc0eZDI5PDzcwsJixYoV9vb2oPnpeGzevPnbDhNNTU0HDx5EJJ4Zr729/d27d39YhaSg\noEBKSiolJUVeXl5WVjYhIcHW1vbmzZuLFy+Ojo4OCQnh5eV9//79pk2bJipsAJgWwIwdMMFc\nXFyio6PV1dU9PT0XLVr06dMnX1/fnp4eNzc3pEOb+Xp6elatWlVWVrZ582Z5efnXr1+rqal5\ne3sfPXoU6dDo1KpVq+AfLC0tqbspIQiiUCilpaVjzEwDf4KPj+9Xk+aurq7AwMCXL18SicTF\nixcfOHBgy5Ytpqamly9fxmKxEAT9/fffdnZ2Bw4cKCsrQ6PBnAUwe9Hd3/62trby8vKRkZFR\n401NTWFhYYiEBPwSDg6O58+fa2lp7dq1S15e3sbGRk5O7sWLF3x8fEiHNl2lpKRIS0tzc3Mv\nWbIkNzcXHnz48KGioiIXF5eGhkZlZSU8eOrUqfb29rKyspCQEE9Pz7S0tKSkJE9Pz9evXyMW\nPX2zsbGRkpKCIIj0f42MjKirq9+8eRPpAGcOCoWSn59/8eLF33jv27dvFy5cmJaWpqampqen\n9+LFCxkZmdra2oCAADirgyAIi8UGBgZ++vQJ/G0HZjsK3Whvb6fWAhUSEoqLi6M9ChcimpAb\noVCoEydOTMilgLG1traSyWSko5jePn/+zMHB8eLFCwqFcv36dR4eHiKRWFdXx8bGlp2dPTIy\n4uXlpaSkBJ88Z86c8PDwUVfQ1dU9dOjQVMf9jYCAABUVFaSj+D5tbe3u7m6ko5h4dPW7rr29\n3c/Pr6Sk5KdnVlRUJCQk3L17t7GxkUKhkMlkeXn5zZs3E4lE+AQymbxu3To0Gk0gEEa9F4/H\nJyUlTXjwADB+iP+uo6MZu+PHj798+TIwMDAlJcXIyMja2vr06dNIBwX8ET4+Pur2NOD3MDAw\nxMXFqaqqQhBkYWHR2dnZ1tb25MmTxYsXr1y5Eo1Ge3h4VFZWVlRUkEik5uZmeP6J1sKFC+vq\n6pCIfdrIzc3l5OSEf25ubs7KyiopKUE2pJmHl5fX3d1dVlZ2jHM6OjqsrKwWLlzo5ORkbW0t\nLi7u4eHx4cOHDx8++Pn5USfnUCjUnj17yGRyeno67dt7enq6u7v5+fkn8WMAAN2jo8Tu/v37\nfn5+Bw8e3LBhQ0RExM2bN0+dOhUaGop0XACAJBERkTVr1kAQNDg4eO7cOVVV1Tlz5tCmywwM\nDCwsLFVVVVgslpeXt7a2dtQVamtrQR2vHwkICKBtYHX16tW5c+caGhrKy8tv2rSJRCIhGNvM\n8OrVq5CQEAqF8tMzKRSKmZlZeXn527dvW1tbe3p6EhISwsPDfX19GRgYRhWL1tXVxWAwkZGR\ntIO+vr78/PzwpmYAmLXoKLHr6OiQkZGhvrS0tAwNDXVxcbl79y6CUQEAPQgMDGRhYYmNjY2I\niEChUCtWrCguLs7KyhoZGQkNDf369evg4CAEQRs2bAgMDOzr66O+8fnz5xkZGWZmZsjFTr8i\nIiLc3d3Z2dnhl7W1tU5OTsrKypmZmf7+/rdv3wZfLP9Qd3d3VlaWurr6eGbunz9/np+ff/v2\nbSUlJXhk/fr1ly5dSktLg+sM056MRqNxOFxmZqaxsfGVK1cuX75saGgYFBQUHh5OuwkGAGYh\nOkrsJCUlMzMzaUfs7e09PDwsLS1HzbcDwGxz6NChwcHB06dPa2trNzQ0CAsLx8XFubq6iouL\nww3s4VK6vr6+fX19ixYt+vvvvyMjIx0dHXV1dffs2bNixQqkPwE9Cg0NtbOzi4mJgV9GR0dT\nKJTExEQDAwM3NzdnZ+e4uDhkI5zuuLi4jhw5Qk3Uxvbu3TtpaelRPcFWr149NDQkJiYGLxak\njvv7+zMzM798+RKPx58/fz4oKEhQULCkpIS6zRkAZi06Knfi6Ojo6OjY0NAQEBBA3UHp4+OD\nRqPXrVv3bad5AJgN3r9/39DQYGxsjMPhzMzMvL29CwoKzM3N161bB/fe7e7uDgwMVFBQgCCI\nn5//3bt3gYGBd+/ebWlpWbhwYXJy8p83a5qpSktL/f39qS+zsrI0NTWFhITglwYGBhEREQiF\nNr0VFxcXFBQ4ODigUKjxVx5Bo9Hf1kOAR06ePHngwIGSkhJzc3McDnf//v3c3Nz4+HglJaXo\n6OgJjh4Apjk6SuwcHBw6OzvPnTvn6elJWxoD3vTn6uo6/kudPHmyrKzsR0cpFMq3xUgBgD61\nt7fb2Njk5OQoKCg8e/bs06dPcnJyXV1dysrKd+/eXbBgwdGjR42MjKj/y7CwsJw4ceLEiRPI\nhj0tEIlELi4u+OehoaEXL17QFlfj5OQcGBhAKLRprKen5+7duwYGBr+6cUpNTc3Z2bmsrIx2\nTU5qaiobG9vmzZuNjY19fX1v3rxJIpGUlJQ+fPjw7T4hAAAgukrsUCjU0aNHjxw58u2vA1NT\nU2Nj46qqqnFeipOTc4wmjxgMRlJS8vcDBYAppKen5+XltXHjxvb2dj4+vpCQEGlpaQiCjhw5\noq+v39fXp6OjAyaWfg8/P39jY+OSJUsgCMrJyRkcHKR9MtDQ0AA2nfwGDg6OI0eOUHewjt/S\npUvheeiQkBBdXV0ikRgfH+/q6nr06FFmZmZmZubfq4EHALMNHSV2sB/N2zMyMsrJyY3zImNP\n78XFxY1axgEA9MzJycnJyWnUoL29vb29PSLxzBgaGhqXLl2CV2WdOXMGj8fr6OhQjyYkJIz/\ndw5QVlaWn59vZ2eHwWB+I6uDxcbGenh4rFmzBo1Gk0gkNjY2+CHsxIYKADMb3SV2tAgEgr6+\n/tWrV+H1QwAAABPI1dVVT09PVFSUSCR2dHSEhITAGyq7u7vd3d2Tk5Nv376NdIzTQ19fX1JS\nkra2NgaD+enJJBIpPz+/srKSn59fU1OTduENGxvbv//+e/Lkyffv37OwsMjJybGxsU1m4AAw\nA9F1YkcikV68eAHWwwEAMBmWLVv2+PHjS5cuDQ8Pr1+/fvPmzfD48PBwVFTU6dOnaUvcAWNg\nZWV1c3NjZGT86Zlv3ryxs7MrLy+XkJBoaWkZGRnx9fV1cXGhPQePx+vp6U1asAAww9FRuRMA\nAIAppqamduPGjZs3b1KzOgiC+Pn56+vrjx07hmBg00J1dXVkZCSRSIQg6EdZHW2n47S0NCMj\nIzk5uZiYGCYmJgqFws/Pf+jQodjY2KkNHABmMpDYAQAAjIbH45EOgd4NDAzExcWJiIjAK+qy\ns7P37Nmzdu1aFxeXFy9ewOd8+fJlx44dN27c6Orq2rdvn7W1NScnp6+vr52d3blz5zo7O21t\nbbm5uc+ePYvoRwGAGYWuEzs2NrasrCx5eXmkAwEAAAD+D2Zm5oMHDxoYGJDJ5O3btxsbG7e1\ntcnIyHz58kVTU/Pw4cPQN52O+/v71dTUnj9/Ttvp+OvXryUlJd9WsAMA4PfQ9Ro7LBarr6+P\ndBQAAADA/6itrc3Ly7O0tMThcCwsLBAEhYWF3b59++XLl9QOEzk5OcbGxitWrFi3bp2IiAj0\nv52O8Xg8Fosd1emYkZGRRCL9atE7AAB+hK5n7AAAAAD6MTQ0FBUVxcPDQ9uPNSYmZs+ePbR9\nw/T09DZv3kztCUHtdOzs7JyRkaGkpETb6bi3t1dKSmr8DSoAABgbXc/YAQAAAPSDkZFx//79\n7OzstIO1tbW0vSJgsrKyiYmJ8M+HDh3au3fv3bt3d+3axcvLa2tre/z48QMHDnR0dIiJiVEo\nlJ07d07RBwCAWQB8SQIAAADG0tTUFB8fPzQ0BEHQqKwOgiBeXt7GxsZRgw0NDXx8fO/fv09P\nT4cgCO50LCIicvjwYUlJSQ8Pj48fPzY3N3d1deFwuK1bt07NBwGA2QAkdsAM0dXVdfTo0ZUr\nVy5fvtzZ2bmmpgbpiABgLG1tbeXl5d9uGmhqagoLC0MkpO8iEokRERGMjIy0j19pmZiYXL16\ntaurizpSX18fHR1tYmICdzp+//49BEFwp2MtLa2QkJC5c+fGxsZWVFTo6+uvXr2atkYxAAB/\nCCR2wExQVFS0cOHCO3fuLF++fM2aNcXFxYsWLbpz5w7ScQHAd3R0dBgZGfHz88vIyIiJicXH\nx9MeraiooKtmcQwMDI6Ojhs3bvzRMriDBw9ycnLKy8ufPXs2NTXVx8dHUVFRUVHRzs6O2umY\ni4tr+/btcKdjbm7uo0ePHjp0SEVFpaGh4dq1a1P8iQBgZgOJHUC/MjIyFBUVubm55eXlMzMz\n4UHaeqe5ubnw4I4dO/T09IqKiry8vDw8PJ4+ferq6mpnZ9fb24tY9ADwA8ePH3/58mVgYGBK\nSoqRkZG1tfXp06eRDmq0tra2xMTEgYEBCIK4ubnHOJOdnb2goGD37t3x8fE7d+68c+fOyZMn\nMzIy4Bk+JyenT58+dXd3V1VVbdu2DX6Lvb19Y2Pj169f09LSeHl5p+DjAMDsATZPAHSqubnZ\n3Nw8ISHB2Ng4Li7OwsKitbW1oaFhx44dWVlZqqqqUVFRZmZmLS0t1dXVRUVFycnJtK3HPT09\ng4ODs7OzN2zYgOCnAIBv3b9/38/Pz8HBAYKgDRs2GBkZbdmyhZeXd8+ePUiH9j9GRkbCwsIk\nJCR+9Ph1FCYmpuPHjx8/fnyyAwMA4KfAjB1ApygUyrVr14yNjSEI2rRpU29vb1NT06h6p52d\nnW1tbU1NTWg0WkJCgvbtOBxOVFT02zXdAIC4jo4O2m2klpaWoaGhLi4ud+/eRTAqWhgMZufO\nnZaWlrRflgAAmBbA/7QAnRIUFLSysoJ/zsjImDt3roiICAaDoa13qqqqOmfOnK9fv5LJ5Jqa\nGnFxcerbiURifX29oKAgIsEDwBgkJSUzMzNXrFhBHbG3t6+trbW0tExOTmZmZkYqsK6urtzc\nXCMjIxYWFrChAQCmKTBjB9C7oqIiJyenGzduYDAYeIRa7zQiIgKFQklLS8vJyZ04cYJMJlPf\nFRAQgEajQecSgA45Ojr+/fffO3bsaGtrow76+PgcPnx43bp1Pj4+iEQFz5ETCIRxPn4FAIA+\ngRk7gK49fPhwz549sbGxy5cvpw5S651qa2sXFxcLCwtHRkYaGBioqKhYWFjgcLiHDx/m5ubG\nxsZycHAgGDwAfJeDg0NnZ+e5c+c8PT1pJ8a8vLyUlJRcXV3Hfyl4z9CPjlIoFNrccWwoFMrW\n1pafnx80gQCAaQ0kdgD9ysrKcnR0TE9Pl5aWhkfev3/f0NBgbGwM1zv19vYuKCgwNzdXVlau\nqKjw8/NLTU0dHh5WVFQsKSlZsGABsvEDwHehUKijR48eOXLk2wappqamxsbGVVVV47yUn5/f\nGCUbbWxs9PT0xr5Cb29vXl6enp4eCwvLnDlzxnlfAADoFkjsADrV09NjZ2d3//59alYHQRBc\n7zQnJ0dBQQGudyonJwcf4ufn/+effxAKFgB+2Y8mxhgZGal/q39KVVUV3kv0XXZ2dkxMTGO8\nHX78ysnJSV3nAADAdAcSO4BO3blzp6GhgfYfrdTUVGNjY7jeaXt7Ox8fH1zvFMEgAWBCEAgE\nfX39q1evKigoTOV9USiUpaXlnDlzQGIHADMGSOwAOrV169bvdpB0cnJycnKa+ngAYPKQSKQX\nL1709PRMze36+/ufPHmipaXFysoqLCw8NTcFAGBqgEWyAAAAs0tYWFhNTQ3YJAEAMxKYsQMA\nAJhdTE1NhYSEQPFhAJiRwDc2AAAAhLGxsWVlZcnLy0/eLQYHBx89etTX1wdBkJiY2BhZ3fh7\nNAMAQIfANzYAAACEYbHYyS6mHRkZOTIysmzZMvhlZWVlZGRkZWXlnDlz1q5dC/fug36lRzOY\n8AMA+gRm7AAAAGa+VatW7dq1i5WVFYKg4OBgeXn5p0+fioiItLS0mJqampmZDQ8PQ7/SoxnZ\njwMAwI+Ar1wAAAAzEwMDQ2NjI4FAYGNjk5CQgAffvn174MCBqKgo6q7z8vJyXV3dgICA48eP\nj79HMyKfCACAnwIzdgAAADPTpk2bOjo6aHsoQxAUHR2tq6tLW0tIWlrazc3txo0btKf9tEfz\nFMQPAMBvAIkdAADAzFRQUCAjIzOqY3JNTY2srOyoM+Xl5b98+UJ9+fDhww0bNnzbo3lwcPD0\n6dPa2toNDQ2TGjkAAL8NJHYAAAAz05cvX77d4sDDw9Pc3DxqsKmpiYeHB/6Z2qOZmtW9f/8+\nPT0dgiC4R7OwsHBBQcEkxw4AwG8CiR0AAMAssmbN/2PvzgNi2v//gb+npmmbtK9TaVUoQjck\nomxdslMXXbITWe8HZQshu4R7ufblWrJzy64sV9KlJCLRJm3aaZ/fH+fzmd98B9OU6jSn5+Ov\nOe+zvF/n1HnPa855v88ZdPny5cTEREFJeXn5zp073d3dyf/e0XzhwoWv39EcFxdHCBF5RzMA\nNDcYPAEA0IIMGzZs4MCBXbt2nT9/vr29fXp6enBwcElJyZo1awje0Qwg/ZDYAQC0ICwWKzQ0\ndP/+/b///vumTZv09fXd3d2XL1+urq5O8I5mAOmHxA4AoGWRkZGZOnXq1KlT6Q4EABoe+tgB\nAAAAMAQSOwAAAACGaKG3YpOSkmJiYqKjo7lcLt2x1F9OTo62tjbdUdQf4qdXfn6+o6Njk1WH\nJ5/RgmrrGnabz58/l5WVlaJnFPP5/E+fPmlqatIdSB0UFxfLyckpKCjQHUgdSF2TWFFRweVy\nzc3NG3aztLd1LTGx09LSmj9/Pt1RALQ4gjfNQ9NAWwdAC3rbOhafz6exehqVlJSoqKhER0fb\n29vTHUt9IH56IX5osfT09Hbs2OHh4UF3IJK6ePHihAkTCgoK6A6kDtzd3a2trTdt2kR3IJL6\n8OEDj8dLTExs06YN3bFIatWqVREREXfu3KE7kAaGPnYAAAAADIHEDgAAAIAhkNgBAAAAMAQS\nOwAAAACGQGIHAAAAwBBI7AAAAAAYAokdAAAAAEMgsQMAAABgiJab2HE4HB6Pp6GhQXcg9YT4\n6YX4ocUyMjLS1dWlO4o60NHRMTIyojuKutHX19fX16c7ijrgcrn6+vqqqqp0B1IHBgYGBgYG\ndEfR8FrumycAAAAAGKblXrEDAAAAYBgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7AAAAAIZA\nYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMEQL\nTewOHDjQtm1beXl5Q0NDPz+/qqoquiOqs5CQEEVFxfHjx9MdSJ3x+fx9+/Z16tSJy+WamprO\nnj3706dPdAdVB5WVlYGBgdbW1goKCrq6urNmzcrLy6M7qHpyc3NjsVhJSUl0BwLSRHpPYalo\nNqX060kqjq2A9P4PS4Tf8hw/fpwQ4ufnd/fu3T179rRq1WrevHl0B1UHOTk5gwcP5vF4Wlpa\n48aNozucOlu/fj2LxVq6dCl1/FVVVQcOHEh3UHXg7e3N5XKDg4MjIyP37t2roaHh7OxMd1D1\ncfjwYTk5OULImzdv6I4FpIk0nsLS0mxK49eTtBxbYdL4Pyy5lpjYtWnTxtPTUzAZHBzMZrNz\nc3NpDKlO9uzZ069fv+zs7Pbt20vLWSRQXV2tqak5ceJEQcmmTZsIIdnZ2TRGJbni4mJNTc3N\nmzcLSrZt20YIycjIoDGqevj48aOGhoaPjw8SO6gTKT2FpaXZlMavJ2k5tgJS+j8suRZ3K/bd\nu3evX78ePny4oGTYsGFVVVW3bt2iMao6GTx4cHh4uLa2Nt2B1AeLxYqKitq4caOgxNzcnBAi\nLXczuVxubm7uwoULBSWysrKEEBkZKTuVfHx87O3tPT096Q4EpIyUnsJS0WxK6deTVBxbYVL6\nPyw5Nt0BNLXExERCiKWlpaDEyMhIXl7+1atX9AVVN4aGhnSHUH8sFos6hQSuXr2qr68v/BeR\nCuXl5SUlJffv3w8MDJwyZYqenh7dEdXB2bNnw8PD4+Pj09PT6Y4FpIyUnsJS0WxK6deTVBxb\nYVL6Pyy5FpfYFRUVEUJatWolXMjlcgsLC2mKqEULDQ09cODAkSNHqOteUmT69OmHDx9ms9m/\n/fZbYGAg3eHUQX5+vo+Pz9q1a01MTJDYwQ+S3lO4GcLXEy2Y9z/c4hK7b+Lz+XSH0BIdPHhw\n2rRpAQEB0jKQSpi/v7+Xl9fTp0/Xr1//6tWrs2fPslgsuoOSyLx581q3bu3r60t3ICAFqqqq\nSkpKqM9sNpvL5QrPbZ6nsPiYpQ6+nhpV8/wf/kFS1jHox6mpqRFChH8A1dTUFBcXq6ur0xdU\nSxQQEDB16tStW7cuX76c7ljqw9LS0tXVddGiRefPnz9//vyVK1fojkgi165dO3369IEDB6Su\nUyDQ4u7du+r/07dvX+FZzfYUFhNzM4evpybWbP+Hf1CLu2JnbW1NCHnz5k3nzp2pkuTk5MrK\nynbt2tEaV8sSEBAQFBQUGho6bNgwumOpm8zMzFu3bg0cOFBLS4sq6dSpEyHkxYsX7u7utIYm\nkZMnT5aXl3fs2FG40Nra2tnZuZl30AZa/PTTT/fu3aM+C98ibM6n8Pdibv7w9dSUmvP/8I+i\ne1guDWxsbEaNGiWYDAwMVFRULCwspDGk+pGWseUizp8/Lysre+XKFboDqY/nz58TQrZt2yYo\nofKh48eP0xiV5NLT058LOXLkCCHk77//Tk5Opjs0kBpSfQo382ZTqr+emvmxFSbV/8O1anFX\n7Agha9asGTFixJIlS9zc3J49e7Z27drFixdL0Q+72NjY/Px8QkhpaWlWVtbdu3cJIZaWljwe\nj+bIJFBeXr5gwYJevXopKytTkVOsrKz09fXpi0tSNjY2w4YNW7ZsWVVVlYODw/v375cvX25l\nZTVixAi6Q5MIj8cT/j8pKCgghFhaWpqamtIXFEgTKT2FpaXZlMavJ2k5tgJS+j9cB3RnlvQ4\nfvx427Zt5eTkjI2NAwMDa2pq6I6oDlxdXb/+O+7cuZPuuCRCXfH62r59++gOTVJfvnxZvny5\nsbEx9f8zYcKEtLQ0uoOqJ+qOFR5QDJKT0lNYippNqft6kqJjS5HS/2HJsfgYcQMAAADACBgZ\nBwAAAMAQSOwAAAAAGAKJHQAAAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7\nAAAAAIZAYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgB\nAAAAMAQSOwAAAACGQGIHAAAAwBBI7AAAAAAYAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4A\nAACAIZDYAQAAADAEEjsAAAAAhkBiBwAAAMAQSOwAAAAAGAKJHQAAAABDILEDiYwfP571LRs2\nbCCEGBoazps3r2FrPHnyJIvFSk9Pb5CtmZiYzJ49u0E2BQB0mThx4jcbIhaL1bt3b0KItbX1\nlClT6A7zv36wYay11bpy5cqgQYO0tbU5HI6ent6IESMiIiLqXV09CO8g2tjmg013ACA11NXV\nT5w4IVJoZWVFCNmwYYOZmRlVcuzYsWPHjoWHh39zEgCg3hYuXOjp6Ul9XrlyZVZW1u+//05N\namho0BfXf4k0d8INY4Pz9fXduXPnwIEDN2zYoKOjk56efvTo0d69e69fv37JkiWNVGlT7iDU\nGxI7kBSHwxk4cOA3Z40fP17wOTo6WniWyCQAQL3Z2tra2tpSn0NCQkpLS7/XKNFCpLkTbhgb\n1okTJ3bu3Ll69erly5cLCmfMmOHt7e3n59etWzfq+mWDa7IdhB+BW7HQAAQX5Hv37h0cHHzt\n2jUWi3Xy5EmRSUJITU1NUFCQra2tkpISj8dbuHDh58+fqY18+vRp9OjRXC5XXV190qRJxcXF\n36yrZ8+ePXr0EC5Zu3Yth8PJy8srLCycOXOmnp6enJycsbGxr69vSUnJ11vQ0tJatGiRYPLQ\noUMsFis3N1d8eI8fP+7bt6+mpqaSklKHDh0OHDjQAAcOABoam83+/fffTUxMOBxOhw4doqKi\nqHIxZ3d1dXVAQIC5uTmHw9HR0fHy8srMzKRmGRsbr1y5ctKkSUpKSvfu3ROzna+bO+E7ldXV\n1evWrTMzM1NUVLSxsTl06BBVLmGrJWLjxo0mJiYiV+ZYLNbmzZu5XO7WrVupEjFtnZh6W7du\nvWLFirVr15qZmXG53J9++unRo0e17qAwNKQ04wNIYNy4cbq6ut+by+Px5s6dy+fzCwoKevXq\n5eLikpOTU15eLjLJ5/P9/f1lZGR27tz5/v37q1evJ0AE/AAAIABJREFUGhgYeHh4UBsZNmyY\nhobG5cuXk5OTd+7caWhoSAhJS0sTqWv37t0sFku43NbWdujQoXw+f+TIkXp6ejdv3kxOTr52\n7Zqent6sWbOoZVq3bu3j40N91tTUXLhwoWD1gwcPEkJycnLEhFdeXq6hoeHh4REbG/vmzZtt\n27axWKzw8PAfPawAUF+DBg1q3769SKGVlZW1tbWnp2d0dHRERETbtm3NzMxqamr4YhufuXPn\nKikp7du37927dzdv3jQ3N7e1ta2qquLz+dTnKVOmPHz4sKCgQMx2vm7uBA0jn89fvHgxl8s9\ndOhQbGxsUFAQIeT06dN8iVstYVRmtmDBgm8elvHjx3O53Orqar7Ytk5MvZaWlvr6+itWrPj8\n+XNJSUmfPn3Mzc1r3UHhaNGQ0guJHUhk3LhxOjo6xV+h2j7h09vV1XXAgAGCFYUnS0tLlZSU\npk+fLph7+PBhQsjr169zc3NlZGSWL18umEX1pPk6scvNzZWTk9u+fTs1+fLlS0JIaGgon89/\n//7927dvBUvOmjXLzMyM+ixJYicmvOTkZELI2bNnBbMePXr08ePHuh1EAGg430vsTE1NKysr\nqck9e/YQQjIzM8Wc3UVFRfLy8n5+foJZ165dI4TcuHGD2qCRkRGVGvLFNmL8r1o/QcNYUlKi\npKTk7+8vmLVo0aKtW7fyJW61hD179owQEhIS8s3DsnLlSkJIXl4eX2xiJ6ZeKyurdu3aCXaZ\nuqhGrfW9HRSOFg0p7dDHDiSVnZ2toqIiUhgWFiZ5H5fY2NjPnz///PPPgpI+ffoQQv79918e\nj1dTU9O9e3fBrN69e1NX+0Voamr269cvNDR07ty5hJBTp06pqakNHjyYECIvL7958+YbN25k\nZWVVVVV9/vyZw+FIvoNiwhszZoytre2MGTOePXs2cODArl27du3aVfItA0CT6datG5v93682\nXV1dQkhhYeG7d+++d3YbGRmVl5c7OjoKZlFn97///tu3b19qksViUbPEtBKWlpbfCykhIeHz\n58/CjcamTZuoD/Votfh8PrXiN+eWlZWJX12Seu3s7AS7rK6uTgjJy8vT0tKSZMtoSGmHxA4k\npaGhcfHiRZFCGxsbybdQWFhICBk1apSMzP/p3JmZmdmqVStCiLKysqCQy+V+bzvjxo0bP378\nhw8fDAwMTp8+PWbMGHl5+erq6j59+pSUlAQHB3fo0EFeXn7t2rXfTA3rER6Lxbp79+6OHTvO\nnTu3Zs0aLS2tWbNmrVixQlZWVvLtA0ATUFJSEnymshM+ny/m7FZVVSWECP9qpRofQTdfagGK\nmO2ICamgoECkCkr9Wi0jIyNCSFJS0jfnpqSkqKioqKmpidlCrfUqKiqKrEJlk5JAQ0o7JHYg\nKTk5OScnpx/ZAvXLLyQkpFevXsLl2traL168IISUlpYKCqmm8JuGDh2qpKR09uxZFxeXhISE\nP/74gxASHR396tWr0NDQ4cOHU4sVFRV9c3XBL1GKoFevmPAIIRoaGgEBAQEBAR8+fDh48ODK\nlSu5XO5vv/0m4b4DAI3EnN2vX78m/0tHKFTT8c3cSHwr8T06OjqEkE+fPomUS95qCdPU1LS1\ntf3rr79Wr14tcnmvsrLy7t27ffr0oZKq77V19atXQmhIaYdRsdDwRH7bCSapQVIfPnyw/h9T\nU1MOh6OpqWltbc1isQTj1wghVDeXb1JWVh4yZMiVK1dOnTplampKDZItLy8nQs3rp0+f/v77\n72/+ylRTUxPOGv/9999aw3v//v2ZM2eoxQwMDPz9/bt06fL06dO6HxsAoIGYs9vGxkZeXv7h\nw4eChR88eEAI+emnn+q0HWqBb7Y5lpaWqqqqwk8Pnj59+owZMyRvtUTMmzcvNTWVGoQhbNmy\nZVlZWYI86XttXb3r/d4OCkNDSjtcsYMGpq6uHhUVFRMTo6enx+PxRCbnzZu3efNmHo/n4uJS\nUFCwfv36iIiIN2/e6Ojo9O/ff+fOnR06dGjTps2lS5fi4+PF1DJ27NjRo0enpaVRr8QghNja\n2iorK+/atcvc3PzDhw+zZ88eNmzYkSNH4uPj27RpI7yug4NDeHh4Wloaj8e7fPnyrVu3qHIl\nJaXvhZeZmenh4REXF+fh4aGkpPTgwYO4uLipU6c23mEEgAYk5uxWU1Pz8fEJDg5u27Zt7969\nExMTfX19HR0de/bsWdftiDR3wmv5+vpu2LDBwsLC0dHx5s2b+/btO3nypOStlghvb+8bN26s\nWLHi+fPnY8eO1dXVTU9PP3z48NWrVwMDAwW3Vr7X1tW73u/toISHCA1pE6Fr1AZIFwkfd8Ln\n8yMiIvT19eXl5alBWyKTNTU1mzZtsrS0lJOTU1VVHT58eEJCArViZmbmkCFDlJSUVFVVf/31\nV+qHXXJy8jdrrKiooH4iJyYmCgrPnz9vaWmpoKDQsWNHqjkzNzdXVlb+999/hceXpaWl9e/f\nX0VFRUdHZ+LEiVTPkg8fPogP78yZMz/99BOXy1VSUrKxsdm2bdsPHlIA+BHfGxU7efJkweT5\n8+cJIS9fvuSLPburqqpWrVplYmLCZrN1dXWnTZuWn5//zQ2K345IcyfcMFJVGBsby8vLt2vX\n7sCBA4IIJWm1vlZTU/PHH3/Y29tTfQq5XO7AgQOvX78uvIyYtk5MvWKOoZgdFI4WDSm9WHyJ\ne0QCAABAs8Ln8y0sLAwMDKjnJwPIrlq1iu4YAAAAoD5YLJaSktKuXbtyc3N1dXVLS0sFHf6g\nZcIVOwAAAOm2adOmXbt2ffjw4ddff/3zzz/pDgfohMQOAAAAgCHwuBMAAAAAhkBiBwAAAMAQ\nSOwAAAAAGAKJHQAAAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7AAAAAIZA\nYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMAQS\nOwAAAACGQGIHAAAAwBBI7AAAAAAYAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4AAACAIZDY\nAQAAADAEEjsAAAAAhkBiBwAAAMAQSOwAAAAAGAKJHQAAAABDILEDAAAAYAgkdgAAAAAMgcQO\nAAAAgCGQ2AEAAAAwBBI7AAAAAIZAYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYA\nAAAADIHEDgAAAIAhkNgBAAAAMAQSOwAAAACGQGIHAAAAwBBI7AAAAAAYAokdAAAAAEMgsQMA\nAABgCCR2AAAAAAyBxA4AAACAIZDYAQAAADAEEjsAAAAAhkBiBwAAAMAQSOwAAAAAGAKJHQAA\nAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7AAAAAIZAYgcAAADAEEjsAAAA\nABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMAQSOwAAAACGQGIHAAAA\nwBBI7AAAAAAYAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4AAACAIZDYAQAAADAEEjsAAAAA\nhkBiBwAAAMAQSOwAAAAAGAKJHQAAAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAw\nBBI7aHienp4sFis9PZ3uQBoStVMfP36kOxAAqF2tJyybze7WrVvDVsewRg+kFBK7FqempiY0\nNHTw4MGmpqaKioqKiorm5uZeXl6xsbF0h/b/HTt2jMVirVq1isYYNmzYkJSUJJi0s7MbMGCA\nvLw8jSEBSDvq1BYhLy9vZmY2derUd+/eNVRFLfaEbQ6NJ9CLTXcA0NR++eWX06dPt27detSo\nUXp6eoWFhTExMX/99df58+fDwsJ69uxJd4DNQmZm5tKlS+3s7CwsLKiSJUuWLFmyhN6oAJih\nR48eTk5Ogsn8/Pzo6Og///zzzJkz9+/ft7Gx+fEqcMJCi4XErmW5c+fO6dOnnZ2db968yWb/\n/7/+5cuXhwwZ4uvr+/TpUxrDaz6io6PpDgGAsfr27fv1JaXNmzf/9ttvfn5+ly5doiMoAIbA\nrdiWJSEhgRAyevRo4ayOEOLu7n706NFNmzbV1NRQJR8/fpwyZQqPx1NWVu7YseOOHTuqqqoE\nyz9+/Hj48OFaWlocDsfExMTLy+v9+/ffqzQrK8vHx6d169YcDkdbW3vYsGENkjalpKR4e3vz\neDwOh6OlpTVkyJDHjx8LL1DvXRg8ePDQoUMJIW5ubiwW6/79++SrLjviax87diyLxSopKVm8\neLGJiYm8vLyRkdG2bdv4fP6P7zgAI/n6+nI4nAcPHghKxDcd5eXlmzZt6tixo6qqqoqKSocO\nHYRbMJET9u+//+7SpYuioqKOjs6UKVMKCgqEqx48eDCLxRIurKqqYrFYffv2FZRI3uiJD0yE\nk5OTjIzMhw8fhAvT09NlZGScnZ3rujUJiTmwtcYjfnXyvyOfnZ3dr18/RUVFQZpe6wG8evWq\ng4ODkpKSnp7e3Llzv3z5YmRk1LlzZ0nCBmG4YteyGBkZEUJu3Lgxffp0kdxu/Pjxgs85OTn2\n9vYlJSW//vpr69at7969O2/evOfPn//555+EkJiYGGdnZw0Njblz5+rp6SUnJ+/atev69esJ\nCQmampoiNebk5HTt2rWgoGDGjBk2NjZpaWm7d+/u2bPntWvXBM1EPaSlpTk4OHz+/HnmzJnt\n27fPyMjYvXt3r169bt68Sd3i+ZFdWLZsmYaGxtGjR1esWNGpU6d27drVtXYOh0MIGTVqlKmp\n6cmTJ2tqagICAhYsWKCmpubt7V3vvQZgMD6fX1NTo6ysTE3W2nTMnDnz4MGDY8eOnTlzJovF\nunbt2n/+85+UlJSQkBCRLd+/f3/IkCG6urorVqzQ1taOiIgYMmSIjEwdrmvUqdGTPDBCyNix\nYx88eHDu3LnZs2cLCkNDQ/l8PtUm12lrkhB/YGuNp9a/C9X6zZ8/X05ObsWKFWZmZpIcwMjI\nyKFDh2pray9ZskRLS+vMmTOenp7FxcU8Hk+SsOt3KBiLDy1JRUVFp06dCCF2dnbBwcEvXryo\nqan5erGZM2cSQq5duyYoGTRoECEkPj6ez+fv3r27c+fOd+7cEczduXMnIWTnzp3UpIeHByEk\nLS2N2hSbzY6OjhYsnJqaqqKiYm9vLybOo0ePEkJWrlz5vQUmTJhACDl37pygJCEhQVZWtlu3\nbg2yC+vXryeEhIWFCRagdiozM1OS2idPnkwI+eWXXwQLvH37lhAyePBgMXsNwHhiTu2AgABC\nyKRJk6jJWpsOJSWl7t27C29h/vz5I0eOrKqq4v/fE3bgwIGEkMePHwuWnDVrFiGka9eu1CTV\nOOTn5wsWqKysJIS4urpSk3Vq9MQHJiI7O5vNZvfu3Vu4sHv37vLy8lQ8ddoaX4LGU/yBrTWe\nWv8ukyZNIoT079+/urpasEytB7Bfv36EEMFmq6qq+vTpI/w3qt9XScuExK7FKSws9PHxUVRU\npDJ7TU3NYcOG7d+/v7S0lFqgpqZGU1PTyMhIOOd7+/bt7du3c3JyRLZWUVHx5cuXW7duEUIW\nLlxIFQrauJqaGi0trc6dO2f+XwMGDCCEFBcXfy9I8W1TTU2Nqqqqrq6uSFZKXS3Lzc398V0Q\nk9jVWjv/f4ldeHi48AJKSkp2dnbf22WAloA6tZ2dnVcKmTt3LvXkEQsLi/T0dD6fL0nToaqq\namBgkJWV9c2KBCdsdXU1NfZfeC7VmVjyxE6Y+Eav1sC+NnDgQFlZWcHyaWlpLBZrxIgR1GRd\nt1Zr41nrgRUTjySrU63f8ePHvxfhNw+ggoKCtbW18GLh4eGCv1G9v0paJtyKbXFatWoVEhIS\nFBR0+/btBw8e3Lt37+rVqxcuXFiyZMmJEyf69u2bmZmZl5fXuXNnFoslWMvMzIy6ok45evTo\nn3/+GRcXJ9IrRaSu7Ozs3Nzc3NxcfX39ryNJTU01MDAQHrlmYWGxaNGiWnfh48ePhYWFXbp0\nEY6QEGJlZXX//v3Xr1+3bt26oXahHrV3796dKjE2NhZeQE5Ojvq2AGjhIiIiIiIihEt0dHT8\n/PwWLlyooaFBJGg62rVrt3r16rlz51paWg4dOrRPnz79+/cX3LYTlpmZ+eXLF+FznxBibW1d\n15glbzEkDEzgl19+CQ8Pv3DhwrRp08j/ve9Zj62JJ8mBFROPJKtTn62srETmijmABQUFZWVl\ngkcQUBwdHesUtmQHoEVAYtdCKSsru7u7u7u7E0Ly8/OPHTv222+/jRo1Kikp6cuXL4QQMc9/\n8vPzW79+vb29/bZt20xNTeXl5V+8eDFlypSvlywuLiaE2NnZURfARBgYGJSUlPzxxx+Ckh49\nekiS2JWWllK7IFJOXYYsLS1twF2oR+2CEjk5OUk2CNDSrFy5UjAq9suXL+3atcvLy5s5cyaV\n1REJmg5CiK+vr42Nzc6dO8+dO3f06FEWi+Xm5rZ79+7WrVsLL/z582dCiIKCgnChgoKCyA8z\n8erUYkgYmMDw4cNnzJhx9uxZKpE6ffq0uro6dRGxHlsTT5IDKyYeSVanqKqqCs8SfwDz8vII\nIUpKSsKrqKioyMrKSh42CCCxA6Kurj5nzpyUlJQtW7ZERERQ/VFERo0JlJWVbd++3cjI6M6d\nO1wulyosLCz85sIqKirUB2qbX1NTU+PXfaAoVa9wCkWhSlRUVPT09BpqF+pRu4TbAQBCiKKi\n4vbt24cNGzZnzpzz589ThbU2HRQXFxcXF5fy8vJ79+4dO3bsyJEjffv2ffHiBdV/X7B9QkhZ\nWZnwiiUlJeJbnoqKCsHnerQYkgQmoKKiMmjQoAsXLuTn55eWlj569Gjq1KnCS9Zpa+JJcmDF\nxCPh30VErQeQ+g0s8jf6/PlzdXW15GGDAB530oJUV1fPnDnT3d39m0Pl1dTUCCElJSXKysra\n2tovX74Uvm+YmJgYEhLy4sWLjx8/fvnyxd7eXnB+EkJE7qoI6OrqamlpvXr1SiTHysnJ+ZEd\n0dPT09DQePnypUjTnJCQwGKxrKysGnAX6lH7D+wZQEs0dOhQNze3CxcuXLhwgSqpU9MhLy/f\nt2/fQ4cOzZgxIykp6dmzZ8Jz9fT0OByOyDst4uLihCepxEK4uRBevt4thvjAhI0dO7aqqurq\n1asi92HrtzUxJDyw34unfk16rQdQT09PRkYmJSVFeK2oqKi6hg0UJHYtiKys7Lt3765cubJ0\n6VLBLyHK27dv//jjD2owFCFk6NCheXl5hw8fFiywatWqOXPmlJeX6+rqslgs4ecPPXv27MiR\nI+Sr31uU0aNHl5WVbdq0SVCSk5PToUMH6i5wvY0YMSIzM/PixYvCYTx+/NjFxYXKUH9wF6hb\nANQt3XrUDgB1smPHDnl5+Tlz5lA33UhtTcejR494PB512gpQTzAR6QLBZrMdHR2TkpKEn3m2\na9cu4WWonlsvX74UlAhvuU6NnuSBCfv5559VVVXDwsIuXLjQunVrwWs56rc18SRpk78Xj4Sr\ni6j1AHI4HHt7+7i4uFevXlELVFdXBwUF1TVs+C/6xm0ADVJTU6lOxEZGRjNmzFi5cuXChQsH\nDx7M4XBYLBb1BF0+n5+Wlqanp8dms2fPnr1p06bBgwcTQn799VdqLjU5ffr0v/76a/ny5erq\n6n///TebzTY0NDxx4kRJSYnwALGsrCxqDIG3t/ehQ4fWrVtnbGwsJyd3/fp1MXFSA7u6du06\n9yu3b9/m8/kZGRl6enpcLtfPz+/w4cMBAQE6OjoqKiqxsbENsguhoaGEEAcHhy1btlBPSRB+\nekKttVPjwt68eSO8U6qqqu3bt2+gvySAVBIzZtPPz48QMmfOHGpSfNNRWVlpY2PD4XCmTp26\na9eu3bt3T5o0SUZGxsnJiRquLnzC/v333ywWS0dHZ8mSJVRr4OLioqqqKhgV+88//xBCunTp\ncvv27UePHi1durRnz54qKiqCUbGSN3q1BvY93t7eGhoabDbbz89PUFiPrdXaeErYJn8zHklW\n/2brV+sBPHPmDCHE1NR006ZNf/zxR8+ePSdMmCAvLy/4G9Xvq6RlQmLX4hQVFW3YsMHR0VFD\nQ0NWVlZRUbFNmzaTJk0Sfj4Qn89///79+PHjdXR05OTkzMzMtmzZInhsUnZ29tixY7W1tVVV\nVV1cXO7du8fn8wMCArhcrp6eXmZmpnBix+fzMzMzZ86caWRkxGaz1dTUhgwZEhUVJT5Iqm36\npk2bNlHLpKament76+vrs9lsHR0dT0/PhISEhtqFioqKkSNHKioqqqurnzlzhv9/vydqrR2J\nHcA3iUnsSktLjYyMZGRkBO2D+KYjLy9v3rx55ubmSkpKqqqqHTt2XLduneDJFyIn7MmTJ21t\nbak3FkyaNCk/P9/IyKhTp06CrR06dKhdu3aKioq6urrTpk0rKCgwMDBwcnKi5tap0RMf2Pdc\nv36dauJE2rG6bk2SxlOSNvl78dS6+jdbv1oPIJ/P379/v5WVFYfDad26tb+/f0VFBYfDcXR0\nlLBeEGDx8Y4jAAAAaE6KiopUVVWHDBki3OkFJIE+dgAAAECngwcP9u7dOyYmRlBy6NAhQohw\n9z6QEK7YAQAAAJ2ioqKcnZ3V1dVnzpxpYGDw9OnTvXv3GhgYxMbGYkRaXSGxAwAAAJo9ePAg\nMDAwJiYmPz9fR0dnwIABa9aswcOH6wGJHQAAAABDoI8dAAAAAEM061eKFRUVnThxIjMz08rK\nauTIkWJe/QkAAAAAzehWrImJycmTJ7t160ZNvn//vnfv3oJ3jFhbW0dEROjo6NAXIAAAAECz\n1oyu2KWkpAi/nmXx4sWEkH/++adjx4737t2bMGGCv7//vn37fryiLl26iLw3EACawIABA/76\n6y+6o2hBam3rOnXq9OrVq++9Og+gJbO0tGSz2cnJyeXl5XVasaKiQlNTU+TVt02pGSV2Iu7d\nu7dhwwbqAl7//v0DAgICAgIaZMuvX79evHix4NIgADSBM2fOPH36lO4oWpZa2zpZWVnqzVRN\nGRWAVCgoKCgtLeXz+fLy8goKCoqKimy2RCnTsmXL4uPjGzs8MZpvYldSUmJtbS2YtLW1zc3N\nbaiN29nZ9e3bt6G2BgC1evr0KRK7pie+rXv48KGtra2KikpThgQgLaqrqz9+/JiWlpaenp6V\nleXh4aGgoFDrWtu3b/+68OPHj1FRUaWlpSoqKo6OjpqamsJzDx48yGKxqM+KiorUG+rqrfkm\ndh07dkxKSnJwcKAmX716hefZtDTXrl1bvHhxSkqKoaHhli1b+vfvTwg5d+6cn59fVlaWqanp\n1q1be/fuTXeYANLK0dGR7hAAmi9ZWVkej8fj8Qgh5eXlghGcJSUljx8/1tXVNTQ0VFVVrXU7\nlZWVd+7c6dGjh7Gx8Zs3b27fvj1q1ChBJldRUcFisSZOnNhQYTevxG758uWtW7dWUVHhcrmt\nWrXavHnz2LFjCSEPHjxYsWLFoEGD6A4Qms7Hjx9HjRp1+vRpNze3EydOjBkzJjs7OyMjw9vb\n+8aNGw4ODocPHx45cmRWVpaEl8cBAADqR/i5HBwOR1lZ+dWrV48fP+ZyuTwez8LCQszgzg8f\nPnC5XGNjY0KIpaXls2fPcnJyBMtXVFTIyck1YKjN6BvR09OzqKgoJSWl6H8Ex3Hr1q1qamqr\nVq2iNUBoUnw+f9++fW5uboSQ0aNHe3l5ZWZmysnJnThxgrqOO2bMmIkTJ+bk5Ojr6xNC0tLS\nVq9eHRUVVVZW1qlTJ39//w4dOtC8DwDNW3Z2tqampqysLN2BAEgTDofTtWvXrl27FhcXZ2Rk\nZGRkJCcni0nsioqKhC/sqaqqFhYWCid2hJCbN2/m5eVxudwuXbro6en9SHjNKLETM1xu06ZN\nxsbGuDDToujr63t6elKfr1271rp1a0NDQ1lZWUNDQ0JIWVnZli1bHBwcqBPg/v37AwcOtLOz\nmzZtmry8fFhYWJcuXQ4cOODl5UXnPgA0by9fvrS1tdXQ0KA7EACppKKiYm1tLTwegBCSlZVF\n5WoCVVVVwj+f2Gx2VVWV8KSpqWnbtm3V1NSSk5Nv3rw5cuRIRUXFekclHW+eMDMzQ1bXYj17\n9szHx+fIkSOCE2Pz5s1KSkrHjx8/cOAAi8Xi8/lTpkwZN27cvXv3Zs+ePXXq1HPnzm3cuNHH\nxyc/P5/e4AGaMzk5uYa9BwQAWlpaHA5HuITNZldXVwsmKysrhVOaVq1aOTo6qqurs1gsc3Pz\nVq1aZWVl/UgAUpMt5eXlVVZWSnh9Mjg4+MWLF9+b++XLl7S0tIYLDRpReHj4zJkzjx8/7uTk\nJChctGiRr6/v5cuXnZ2dY2NjCwoKEhMTb9y4IeiLSgiZM2fOmjVrbt68OXr0aDoCB5ACGDwB\n0OC+7tugqqoq/ETJgoICNTU1weSXL1++fPkiuHBeXV0tI/NDF92k44odIWTAgAFUVypJZGVl\n5X9fdXV1YmJio0YLDeLGjRuzZs0KCwsTZHVxcXFhYWGEEA6HM3LkSB6P988//+Tk5MjIyFC3\naAXYbLaBgUF2djYNcQMAAPwPj8f7/Pnz+/fv+Xz+y5cv5eTktLW1CSHv378vKSkpKCgIDw8v\nKCgghCQnJ3/58oU5fezEmzVr1ocPHyRcODAwUMxcGRkZScYnA72KioomTZp09epV4e4Lubm5\nXl5et2/f7tChw4MHD5KSkmxsbNhsdk1NzZs3b9q0aSNYsqysLCUlxcjIiI7YAaQDBk8ANAFZ\nWVkXF5dHjx49ePBATU3NxcWFKn/y5Im9vb2JiYmdnd2NGzcqKipUVVX79u0rcie3rqQmsZs0\naRLdIUCTunTpUkZGhuBBhoSQ8+fPu7m5BQQEjBgxIjc3V1tbe/fu3VTa99NPP/3222+nTp2i\nnh5ZU1Pj7++vrKzs6upK2w4ANHsYPAHQNHTr6ZoJAAAgAElEQVR0dIYMGSJSOGrUKOpDu3bt\n2rVr11B1SU1il5GRcf78+dmzZ9MdCDSR8ePHjx8//utyHx8fHx8fkcLDhw/379+/ffv2I0aM\n4HA44eHhSUlJoaGhysrKTRIsgFTC4AkA5pGaPnZv3ryZM2cO3VFAM9W2bduXL19Onjz51atX\n0dHR/fr1S0xM7NevH91xATRrjo6OeJ8YAMNIzRU7APG4XK6fnx/dUQAAANCpGSV237zvJvCD\nj3UBAGhWcnJy8vLyLC0tRcYuZGZmXr16dcqUKU0QAwZPADBPM0rszp49y+VydXV1vzm3tLS0\nieMBAGgMeXl5Y8eOvX79OiHEwMBg8+bNv/zyi2BuYmLi1KlTmyaxw+AJAOZpRondxo0bg4KC\n7ty5Qz3fRcTdu3f79OnT9FEBADSsZcuWPX78ePPmzWZmZpcvXx47duzbt2+XLVvW9JFg8AQA\n8zSjxG7OnDnXr18fP358WFjYDz52GQCg2bp69eqGDRumT59OCBk+fPiAAQPGjRunqak5c+bM\num6qsLAwLy/ve3NramrEr443TwAwTzNK7AghBw8eDA0NzczM5PF4IrPU1dXxTDIAYIC8vLy2\nbdsKJj08PIqKimbOnGloaOju7l6nTfXs2fP58+diFggPDx88eHA9A4VGxufzZWVlBRcy9PT0\n0tPT6Q0JGKB5JXZaWlozZsz45qyOHTvevHmzieMBAGhw5ubm169f79Wrl6Bk6tSpqampHh4e\nZ8+eVVRUlHxTd+/epd5E9E0WFhaamppiVsfgiabx4sWLkJCQhIQELS0tFxeXadOmUXfACwsL\nWSxWZWWl8HuuAX5Q80rsoDHgRyFAszJr1qxZs2ZlZGRs3LhR0KV4zZo1MjIy7u7uzs7Okm9K\nQ0PjR4Y+YPBEEwgJCZk/f76rq6urq2teXt6qVav27dt38+ZNLS2twsJCVVVVZHXQsNCVjfkE\nPwqrqqqqqqqQ1QHQa/r06WvXrr106VJxcbFweUBAQGho6Lt375osEgyeaGyJiYnz58//888/\nw8PDV6xYsWPHjsTERD6f/9tvvxFCqKut7u7uhoaGjo6Od+/epTlcYAQkdsxRWlq6bNkyOzs7\nHR2dbt267d+/n+o6jR+FAM0Ki8Xy8/PLyckxNTUVmTVs2LCXL1+K7zbXgPDmicYWGhraoUOH\nCRMmCEo0NDRWrVp15syZqqoqZWXlMWPGrFu3LiUlZebMmUOHDsUTW+HHIbFjiNzc3M6dO584\ncWLChAm7d+/u16/fwoULhw8fXlNTgx+FAM2QjIzMN39uycvL29jYNH080BjS09MtLS1FCq2s\nrEpLSz99+mRhYfH777/b2trKysp6eXlZWFhERkbSEicwCRI7hlizZg2Hw4mLi5s/f/6oUaPW\nrFkTHR1969atM2fO4EehtDt37py1tbW6unrnzp0FeXl4eLidnZ2ampqjo+Pr169pDRCkVXZ2\ndnV1Nd1RMJmOjk5qaqpIYUpKiry8vLq6+sePH2NjYwXl5eXl8vLyTRsgMBASO4a4fPmyj48P\nl8sVlFhaWo4cOfLSpUv4USjV3r175+3tfeTIkfz8/Llz544cOZLqKDl69OgtW7Z8+vRp4MCB\nnp6edIcJUunly5eFhYVNX295efmLFy/EPIGPMYYNGxYVFXXt2jVBSXl5+bp169zd3eXk5BIS\nElxdXRMSEvh8/okTJzIzM3v27EljtMAMSOwYIi8vz8DAQKSQx+Pl5ubiR6FUk5OTO3HihIOD\nAyFkzJgxnz59ysnJiYyM7Nixo6urq4yMzNKlS1+/fp2YmEgtn5eXN2fOHAsLi1atWtnb2x88\neLDWp9RCi9X0gyfy8vKmT5/O5XJtbGy0tLQcHByioqKaMoAm1qlTp6VLlw4ePHjy5MkHDhwI\nCgqytbVNSUnZsmULIcTFxWXFihU///yzpqZmcHDwlStX1NXV6Q4ZpJ4MISQjIyMgIIDuSOCH\nGBsbJyQkiBS+ePHCxMQEPwqlmqGh4aBBgwghZWVlW7ZscXBw0NPTE+6bJScnp6Sk9ObNG0JI\nSkqKra1tZGTk4sWLT5w4MWjQoHnz5o0dO5a26KF5a+LBExUVFa6urg8fPrx06VJWVlZsbGy7\ndu2cnZ0fP37cZDE0vbVr1167di07O3vdunVnz54dPXp0fHy8sbExNdfX1/f9+/efPn169OhR\n9+7d6Q0VmIFNCHn69OnmzZtXrlxJCKmsrCwpKal1NVVVVbz1q1nx8vLasmXL0KFDBU+0v3jx\n4pUrVyIiIpycnKgfhUVFRW3atMGPQmm0efPm//znP1ZWVqGhoSwWq1evXtOmTbtx44aLi8ve\nvXsLCwvLysoIIX5+fhYWFrdu3aIuwwwePHj06NH29vZhYWFubm507wS0dMeOHUtPT3/z5g3V\nBOno6Bw6dKi8vHz58uXCNyuZx8XFxcXFhe4ooKUQTc58fHw0JLB582ZawoXvmT9/fs+ePe3s\n7Dw9PX/77bcBAwaMHDly9erVTk5OpMl/FJaXl69fv97GxkZJScna2nrFihWfP39u7EqLiopo\n6S3UNBYtWlRWVrZ27VpnZ+eMjAwej3fixIkFCxaYmJh8/PjR3Nyc+qa8cuXKnDlzhG+u2djY\nDBw48MqVK/TFDs1XEw+euHfvnpubm8gPy/Hjx0dGRvL5/CYLo1aJiYmXLl2Kjo6mfi8BSBfR\nxG7Lli1vhRw8eDAqKurt27evX7/+z3/+4+7uvn79+rdv3/r6+tISLnyPnJxcaGjo2bNnW7Vq\nlZCQ0LZt25iYGH9//6aPpKyszNnZOSQkZPLkyaGhobNnzz569GjXrl2LiooaqcazZ8+2bdtW\nVVVVTU2tTZs2p06daqSKaBEXFxcWFkYI4XA4I0eO5PF4//zzDyHE3d39+fPnaWlp8+fPT0lJ\n6dChQ3V1dXFxsZ6ensgW9PX1W0IvdaiHJh48UV5erqSkJFKorKxcWVnZTHqCvnnzxtXV1dra\nety4cV27drW0tDx37hzdQQHUjWhip6KiYvY/t27dmjx5MiHEzMzs0KFDW7ZsycrKCggIuHr1\nqoKCAh3RQi0GDx68d+/eq1evbt++vWPHjrTE8Pvvv6empj59+nT+/Pk///zz7Nmznz17Vlpa\nunXr1saobuvWrePGjRs1atSTJ09iYmLGjRs3ceLEoKCgxqiLFrm5uV5eXnFxcYSQBw8eJCUl\n2djY5Ofnm5ubJyQkVFZW+vn5DRgwQFtbW1ZW1tDQMD4+XmQLcXFxZmZmdMQOzV0TD56wsbGJ\njIwUyeHu3LnTvn375vC+2sLCwj59+sjJyb1+/bq4uLiwsHDKlCkeHh7Mvk0MDMTn8y9fvszl\ncvlfad++/c6dO/l8fmVlpZqaWmBgIJ/PP3DggK2t7dcLSxEWi7VixQq6o2Csvn37/vbbbyKF\ngYGB9vb2DV5XYWGhkpLSwYMHhQuPHj2qoKCQl5fX4NXRJSQkxNzcXFVV1cLC4tChQ1Th3r17\n9fX1W7VqNWTIkNzcXKpw2bJlPB6PemcR5Y8//mCz2S9evKAh7v9r48aNP/30E91RtCzNra37\n8OGDqqrqtGnTioqKqJKTJ08qKiqKnMLi5eXlPXv2rKCgoMHD27p1q7GxcVlZmXDhzJkze/To\n0eB1AYMNGjRIWVmZxgDEDYB4+/btwIEDCSFRUVEFBQUTJ04khDg5OSUnJzdN0gnSKD8/X1dX\nV6RQX1//06dPDV7Xo0ePqqurRUZ9enp6stnshw8fNnh1dPHx8UlKSiooKHjz5o3g3URTp079\n8OFDYWHhxYsXNTU1qUJ/f/8uXbp06NBh1KhRvr6+3bp1mzt37u7du9u1a0df+AD/pa+vf+XK\nlVu3bvF4PAcHByMjI29v7+XLl1NfLrV68eKFi4uLpqYm9WjuoUOHNux7dZ88edK/f3+Rp0EN\nGTLkyZMn/ObUBRBAPHGJnaKi4pcvXwgh4eHhtra21GPSysvL2Wx2E0UHUsjU1PTrN13GxsY2\nyN3ADx8+XL58OTQ0NCkpiRDy+fNnJSUlDocjvAybzeZyuaWlpT9endRRUFC4ePFiaGiorq7u\nhw8fXF1dX7x4MXXqVLrjkgLXrl2j3shSVVUVFBQ0duzY/fv30x1Uo2v6N084OTm9ePHi6NGj\no0ePDgwMTExMXLp0qSQrJicnOzk5tWrVKiYmpqCg4OHDh8XFxU5OTrm5uQ0VG5/P//olbywW\nC1kdSBn+92/Furq6enh4nD17VlNTc9WqVVThsmXLunXr1nSXFBtBc7s9wTCXL1/mcDhhYWGC\nksjISCUlpWPHjv3IZisqKhYtWiQnJ9eqVSstLS0WizV+/Hjq0abUI/oEkpKSWCxWbGzsj1QH\nDa4534rdu3evjIxMVFQUn8/38/OTlZV1cHBQUFAIDg6mO7QfUmtbd/fuXWnptDBlypRevXpV\nV1cLSsrLy9u2bbts2bKGqmLLli0mJibl5eXChbNnz3Z0dGyoKqAloP1WrLjELioqSkNDgxDS\noUOH/Px8Pp9/+vRpFosVGhra1GE2KCR2jW3ZsmWysrIuLi6zZ88eMGCArKysr69vTU3Nj2zT\n19dXT0/v6tWr1GR0dHT79u0HDhzYp0+fbt26paamUuXp6elOTk49e/b80X2AhtacE7sW25/4\nwYMHgu5uzZy1tXVISIhI4fLly52dnRuqivz8fAMDg0GDBr17947P55eWlgYGBrLZ7L///ruh\nqoCWgPbETtytWAcHh8zMzOTk5GfPnqmpqRFCfvrpp4cPH44cObJpriaClFqzZk10dLS9vX1m\nZqaNjc39+/d37Njx9T0OyRUUFOzZs2fv3r0///wzVWJvb3/27Nlr164tWbJETk7Oysqqd+/e\nffr0adOmTXV19V9//dVAuwItQovtT9zEb574ERUVFYqKiiKFioqKFRUVDVWFmprarVu3ioqK\nTE1NtbW1W7VqFRIScuzYMTzcG6RLLb3lOByOqampYNLExMTExKRxI4KvREdH//vvv4QQe3v7\nLl260B2ORDp16tSpU6eG2lp8fHxVVdWAAQOEC62srMzNzVNSUiIiIsLDw6Ojo/l8/qJFi37+\n+ecfSSKhBUJ/4ubPxsbmzp07kyZNEi68ffu2ra1tA9ZibW0dERERHx//+vVrPT29Tp06ff3g\nPYBm7hvN1uzZs2tdLSQkpBGCAVGfPn2aNGnSlStXLC0t+Xx+UlLS0KFD9+/fT11ApUVYWNjl\ny5c/fPjQpk2biRMnNs1wS+r9dV8/wrS6ulpGRobFYrm5ueFXNdRb586dAwMDx4wZs2fPnjlz\n5lCFp06dErygj6mys7M1NTWbwzPkajVv3rz+/ft37tx5zpw5bDa7vLx87dq1kZGR27Zta9iK\nWCyWra1tw+aLAE3pG4mdJG8fQmLXNMaNG5eZmfn8+XPqCyY+Pt7T03PixIkXLlxo+mAqKirG\njRt36dKlIUOGmJqaPn78ePv27evWrVu0aFFjV92hQwcFBYULFy54enoKCp8+ffru3btu3bo1\ndu3AeOvWrXNzczt16lSHDh3mzp1LCDlz5kxgYOCZM2foDq1xvXz50tbWlupL3cz16dPnwIED\n8+bNCwwMNDExSUpKUlZWDg0NtbGxoTs0gOblG4nd+/fvxaxQUVHx4sWLxgoHhLx8+TI8PFyQ\n1RFCbGxsjhw50qVLl7dv35qbmzdxPFu3br13797Tp08FV+lOnz79yy+/ODk5NXZ2xeVyFy1a\nNHPmzPLy8jFjxrDZ7Bs3bsyaNcvDw6N9+/aNWjW0BFR/4oyMDBMTE+o+PtWfmPE/G5r4zRM/\nyMvLa9CgQbdv305NTTU1Ne3Xrx+Xy6U3pM+fP1+9evX169e6urp9+/ZFVyVoDurcgyQxMdHZ\n2bnx3vsJAvHx8dra2iK/Rzt37qympvb8+fOmT+yOHDkyd+7cv//+e8GCBfn5+VZWVr6+vgMG\nDDh69GgTfP+tWrVKWVl59uzZkydPpu7M+vj4BAYGNna90EK0zP7Ejo6OdIdQNxoaGqNGjaI7\niv+6deuWt7d3aWlpu3btMjIyZs+e7e/vv3z5crrjgpZOXGJXXFy8ePHia9euCd4gzufzi4uL\nLS0tmyS2lo7D4ZSVldXU1FB5DKW6urq8vFzk2ehN4/3797t3766pqfHy8tLS0qKuZ/Ts2bNh\nH/7+PTIyMosXL541a1Z8fHxZWVmHDh0Er1sAqB/0J4Z6S0tLGzp06NSpU9etW0cN1z137pyX\nl5ehoaG3tzfd0UGLJi6xW7p06YULF4YPH37w4MFff/21qKjo6tWrEyZMWLNmTZPF15J17979\ny5cvV69edXd3FxSeP3++urq6a9euTR8Pi8Vis9lxcXGC5yOcOXPGw8Nj8ODB9dvg58+f7969\n+/btW0NDw969e6urq9e6ioqKSvfu3etXHYAI9CeWosETzc3+/fvNzc23bt0qGIM/YsSIp0+f\n7tixA4kd0EtcYnfx4sWjR4+6urqeOnVq2bJlhoaGubm5bm5uCQkJhoaGTRZii6Wjo7Nw4UIv\nL6/169cPHTqUEHLu3Dl/f/8lS5Y0fWfnqqqqiooKGRkZ4QdA2NnZsVgsBQWFemwwPDx82rRp\n+fn5pqamaWlpsrKy27dvHz9+fMOFDFAL9CeWosETDS47O/vcuXNJSUk8Hm/QoEFt2rSp0+oJ\nCQlOTk4iT1ZydnYOCgrif+vVZABNRtwDij9+/Eh15JKVlaUeAqmlpRUSEuLn59dE0bV469at\nW716tZ+fH4/H4/F4K1euXLdu3apVq5o+ksLCQiq3s7Oz27179+XLlwMCAhwcHPT19SW50ibi\n5cuXw4YN8/T0zM7OjouLy8nJWbp0qbe39+3btxsjeIB6oPoT0x1F45KuwRMN6Pjx41ZWVhs3\nbkxMTDx48KCNjc3KlSvrtAUFBYWvX0hdUlKioKCArA7oJe6Knbq6+tu3b01MTLS0tAQvcefx\neAkJCU0VXksnIyPj6+vr4+Pz9u1bFotlZmZG100TVVVVRUXFzZs3x8TEBAcHU8+xCwoKOnjw\noL6+fl23FhIS0q1bt40bN1KTbDZ74cKFcXFxW7dudXFxaejYAWrRYvsTS93giQYRGxs7YcKE\njRs3zps3j+rBfPnyZQ8PD0tLS8lvGjg7Oy9ZsuTTp0/C1zuPHDnSu3fvxogZQHLirtgNGTJk\n/PjxycnJffv2nTt37rlz5yIjIxcuXGhsbNxk8QEhRFZWtk2bNpaWljR2hWGz2cOGDdu2bdvK\nlStfvXpVVFT05MkTXV3d6Ojoerxi7vnz566uriKFffv2jYuLa6B4AeqA6k88cODAiooKT09P\n6s11EyZMuHXrFt2hQcPbt29fnz59FixYIBiX5u7u7uPjs2fPHsk3Qo2T6Nmz56VLlzIzM6Oj\noz08PK5du4Y+6EA7cVfsNm3alJ+fz2azFy9efP36der7m8vlHj9+vKnCg2Zk8+bNzs7O7dq1\n8/b21tLSevDgwZkzZwICAurxiHY5ObmysjKRwi9fvnA4nAYKlsnKy8sJIbSMjGaqFtufmKmD\nJwoLC6OiojIzMy0sLLp16yayg4mJiV+PP+vevfuBAwckr4LD4dy+fdvf33/06NFUV6VevXrd\nv3+/Y8eOPx4/wI8Qd8VOXV397NmzxsbGBgYG8fHx//zzz927d1NTU4cMGdJk8UHzYWBgEBsb\nO23atMjIyN9//72mpiYyMtLf378em+rRo8f58+eF397N5/NPnTrl5OTUcPEy0OXLlzt27Kis\nrKysrGxnZ3f16lW6I2KIFtuf+OXLl4WFhXRH0cCOHDliYWExdOjQFStWODs7d+nSJSYmRngB\nZWXlr/e6oKCgro87VldX3717d0lJSWJiYmFhYURERAO+IBug3sQldrlC8vPzLSws2rdvX11d\nnZmZ2WTxQbOipKTk7+9/+/bt+Pj4U6dO1buDjq+vb2FhoZubW1RU1OfPn58/fz5mzJgnT54w\n/nv0R+zYsWPUqFEDBgyIjIyMiIjo16/f8OHDd+3aRXdcTED1JyaEUP2JqcKW0J+YeYMnrly5\nMnny5KVLlxYXF6ekpHz8+LF9+/b9+/fPysoSLOPq6hoaGpqfny8oqa6uPnDgQN++fetRo5yc\nXJs2bVq1atUA0QM0BHG3YrW1tb83i8/nN0Iw0FJoaWndu3dv7ty5gldW9OjRIzIysq5PHGg5\nCgsL/fz89uzZM2nSJKqkR48eFhYWixYt+vXXXwVPFoT6ofoTP3jwgOpPzOfztbS0du3axfj+\nxMwbPBEUFDRjxowFCxZQk1paWkeOHLGxsdm7d6/gnRBTpkzZv39/9+7dV61a1bFjx/fv3wcF\nBb1+/Rq9jIAZxCV2Bw8eFJ78/PlzTEzM7du3N2zY0MhRAfOZmZldvnz506dPb9++NTY21tXV\nrampOX78eERExKdPn9q3bz99+nQDAwO6w2wuHj58yOfzvby8hAsnTpw4b968f/75p3///nQF\nxgzoT8wYz549+89//iNcIisr269fv6dPnwpKFBUVIyIiVq1aNX369KKiIgUFhSFDhhw+fLh1\n69ZNHi9AwxOX2E2cOPHrwtDQ0LCwMA8Pj8aKCFoSDQ0N6mEB+fn5gwcPjo+Pd3d319fXv3Tp\n0rZt2w4cONB83gtJr+LiYhUVFZG7ZvLy8srKysXFxXRFxRhUf2Lqc3x8fHR0dHl5eYcOHerx\njEbpwrzBE7KyslVVVSKFVVVVIvuoqqq6bdu2bdu2ZWVlaWlpMekIAIhL7L5p+PDhvr6+jREK\ntGQLFy4sLCx89eoV9VQ8Pp8fGBg4ceJER0fHxrtul5eXt2/fvoSEBBUVld69e48aNarZPlm0\nTZs2OTk57969E35RfVJSUl5enpWVFY2BMUNubq7wpIWFBSGE6k9cj8c0ShHmvXmiW7dup06d\n4vF4srKybdu2VVJSol7MOHfu3G8ur6ur28QRAjQ2cYMnvikjI+Prx20D/Ijy8vKTJ08GBgYK\nvkRZLJa/v7+urq7gOkqDCwsLa9OmzeHDhzkcTk5OzqRJk3r16iXcn7pZ6dixo4ODw5QpU7Kz\ns6mSrKysKVOmODk52djY0BsbA2h/B+M7AzBs8ERFRYWBgcGpU6e6du1qb2+vp6c3f/78n3/+\nmcViTZkyhe7oAJqIuCt2ixYtEinJz88PDw/v0aNHY4YELU52dvaXL19EEhQWi2VjY/Pu3bvG\nqDE3N/eXX36ZMWNGYGAgdRcmIyNjwIAB8+bNO3z4cGPU+INYLNapU6dGjBjRpk2b7t27E0Ie\nPnxoaWl5/vx5ukNjghbbn5hhgydmzZoVFha2fPnykydPvnnzprS0dPv27ebm5nfu3MGoVWg5\nxCV2hw4dEp5ksVhqamp9+vRhfGMHTUxNTU1GRkbwLDGBzMxMBweHxqjx/PnzXC5XkNURQng8\nXlBQ0MiRI/fs2aOkpNQYlf6g1q1bR0dHnz179smTJ9QViOHDhwsenQ8/Av2JGeDdu3cHDhyI\njIx0cnJasWJFUlJSZmbm69evfX19Gd9XEkCYuMROpN8JQCNRUVFxdnbevHmzo6OjoJfb7du3\nY2Ji9u3b1xg1vnv3rn379iI9pu3s7MrLyzMyMprtG0JlZGRGjx49evRougNpEVpCf2ImDZ6I\niorS1tamHnLOZrOtra2tra179uw5Z86cmJiYr99hCMBU30js0tPTxa9TWVkp3IMb4Mft2LGj\nV69ePXr0mDp1qoaGRmRk5K5du+bPn99I7+dRU1MTdFYToB5hih/3QKGrP3FGRsb58+dnz57d\nBHUxafBEVVXV1/0FZWVlvzlOFoDBvpHYGRkZ1bpaC3lAcV5eXnBw8LNnz+Tk5BwcHHx8fJSV\nlekOiplsbW3j4+OXL1++Zs2aT58+2djY/PXXX8OHD2+k6tzc3JYuXXrnzp0+ffoICrdu3dqt\nWzctLa1GqhSarWbVn/jNmzdz5sxpmsSOSYMn7OzsMjIyXrx40b59e0Hh3bt3Kyoq8P5WaFG+\nkdj99ddf1Ifi4uLVq1f37NnT2dmZy+Xm5+dHRETExMRs3LixaYOkR2Rk5PDhw/X09Nzc3Coq\nKvbs2RMSEnLt2rW2bdvSHRoz8Xi8Or2E+0fY2trOnTt30KBBvr6+vXv3Liws/PPPP6m3ITdN\nANCstNj+xFI9eKKgoOD27dupqanGxsa9evW6d++eoaGho6Ojl5fXmjVr1NXVIyMjvb29J06c\nqKenR3ewAE3nG4mdp6cn9WHChAlLlizx8fERzJo9e/bq1avDwsIY/9jYsrKysWPHenh4BAcH\ns9lsQkhQUNAvv/zi5eX15MkTuqODBrB169bu3btv3LgxODi4VatWvXv3jouLMzMzozsuoEET\n9yceP368mLnCbzWt1a1bt6i33H4Tn8+vrKysQ2TS4+TJk76+vlVVVa1bt05OTv78+TOXyx08\neHBUVNSuXbv27NmjqqpaWFg4derUbdu20R0sQJMSN3ji4sWLAQEBIoXDhg1zdnbev39/Y0ZF\nv7t373769Gnjxo1UVkcIUVRU3Lp1q7m5+cuXL3HRjhkwEKGFo6s/8dmzZ7lc7vcejVunjn3B\nwcHx8fFiFigoKBAzV0oHTzx8+NDLy2vt2rULFiyQk5NzdnZOT09PTU2dN29ely5dnj9/vmDB\ngpiYmNjYWDzlEVogcYldZWXlq1evTExMhAvfvHlTUVHRuEE1A2lpaYaGhlwuV7jQzMxMQUEh\nNTUViR0AA9DVn3jjxo1BQUF37tzR1tb+eu7du3eFu36Kd/HiRTFzZWRkvlmFgJQOntixY8ew\nYcMWL15MCElNTY2MjIyNjfX39w8ODj58+LCtre3Fixd1dXWTk5OR2EELJC6xc3Nz8/Ly8vHx\n6dq1q7Kycmlp6aNHj4KDg/v169dk8dFFW1s7KyursrJSuGdxTk5OWVmZ+IYSAKQFXf2J58yZ\nc/369fHjx4eFhdH7JEIpHTwRHx8v6ATsxSkAACAASURBVCOUmppK/h97Zx4X0/7/8TNLs9dM\nTQvtm/Z9FxVxSaFsIWXfI+Fac7OEiyzpRtflIl3Roij7EmlTtjZKSdqUtM7erL8/zv12+1VG\naJbqPP/wmPM+53w+r8nMmff5nPcCAKampu7u7rGxsaARh8Pp6emJqLw5BISUI8yxO3PmzPLl\ny8PCwvh8PmiBwWCTJk06c+aMWLRJEvCOOSoqauPGjV3GAwcOaGtrW1lZSU4XBATEgCHBeOIL\nFy4kJSU1NDSoqan12CUvLy+2omuDNHkChUIxmUzwNVifqKGhgclkolAo0CgQCBobG8lk8oBP\nzWAwKBQKlI0BIc0Ic+zIZHJKSkpLS0tpaSmVSsXj8UZGRsrKymITJ0GIRGJUVNSSJUtyc3M9\nPT05HE5iYmJmZuatW7egWv8QEEMM8ccTKyoqrl69us9dlpaWDx8+FMWkQ4axY8cmJCQEBwcj\nEAgTExM9Pb3Dhw9nZmZ2PU26ePEihUIZ2IdLOTk5mzdvzs/P5/P5ZDJ5y5YtGzdu7HIlISCk\nh2/7KGQyeezYsVOmTHF1dR0mXh1IQEDA8+fPuVzu3r17jxw5MmLEiJKSEnd3d0nrgoCAGGDA\neOIexuEQT9zU1MTj8SSt4rvZunVrZWXl9OnTX7x4QaPRgoODT58+DUaEJyUlLVu2bMWKFUeO\nHFFRUUlKSpoyZYqhoaG7u/uJEyd+OEf4/v37bm5upqamOTk5b9++PXjw4IkTJxYsWDCw7wsC\nYkDoY8UuODjY19fX2dk5ODj4a6dFRESISFBzc3N6enpZWVlHRwcAAPLy8qamphMnTpSVlRXR\njEKwtrZOTk4W/7wQA8XDhw8fPXrU2tpqbGy8cOHCQRckDiEehm088SBNntDQ0MjOzl63bp29\nvT1ocXV1xePxhw4dYjKZNjY2jx8/Hjt2rL+/f3Jy8vLly2fOnFlTU3Po0KG4uLj09PQf+DX5\n9ddf165de/LkSXDT2NjY2dnZ2to6KysLbGIGASE99OHYJSUl2dnZOTs7JyUlfe00UTh2XC53\n8+bNp0+f5nK5aDQazEilUCgcDgeLxe7YsWPXrl1djUQhIITDZDL9/Pxu3749fvx4MpkcFRW1\nf//+S5cueXp6SloahNQxbOOJB2nyBAAAhoaGDx48aG1tra6u1tbW7t0JMDk5OTk5+dmzZxYW\nFqAlODjYwcHh0KFDBw4c+K65mpubi4uLL1261N1oZmbm4OCQnp4OOXYQ0oawXrHfLPI0sISE\nhMTExBw/ftzHx6erDAGfz//w4UNCQsL+/ftRKBSY3w4B8U1CQkJev35dWFhoZGQEAACXyw0N\nDZ03b155eTkU+AzRg2EbTzxIkye6UFBQ+NpyY3Jy8qxZs7q8OgAAyGRyUFBQdHT09zp2DAYD\nAAAikdjDTiQSJdJNGAJCON+Isbt37x5YBp3L5R4+fNjPz090pYljY2PDw8PXr1/fvbgUHA7X\n19ffuXPnwYMHh/zdM8RAwePxLl68uH//ftCrAwAAiUTu379fWVk5Pj5estogpJZhG088JGlq\natLS0uph1NbWbmxs/N6hRo4cSSQSc3JyuhtZLNbLly+hmqYQUoiwrNizZ8+uXr06NzdXRUVl\n9+7dhw8ftrW1TUlJYTAY69evH3Apzc3NhoaGX9sLNnge8EkhhiStra1tbW02NjbdjXA43Nra\nuqKiQlKqIKQNycYTSwODtPNEf1BVVe39ZS8vL1dXV//eoWRkZFasWLFt2zZDQ0M7OzsAAKhU\namBgIAKBmDVr1sDIhYAYOIQ5didPnjx58qSDgwOXyz19+vS+fft27tx54cKFEydOiMKx09HR\nuX//vqura5977969a2BgMOCTQgihubn5zz//LC4ulpWVHTt2bEBAwGD5ASAQCHA4vHcD0Obm\nZuhTBNGFpOKJpYdBmjzRH+bNmzd9+vTMzEwXFxfQUlNTExERsXbt2h8Y7cCBA01NTU5OTlZW\nVvLy8q9evVJQUEhNTZVIVh8EhHCEOXaVlZUeHh4AAOTl5bW3ty9evBgAgLFjx4rCqwMA4Ndf\nf121alVVVZWPj4++vr6cnJxAIKBQKBUVFUlJSdeuXYuLixPFvBB9cvfuXT8/P1VVVVdXVxqN\ntmnTpj/++OP27dtfa3ApVWCxWFdX11OnTnW/T3j9+nVWVta+ffskKAxCqpBUPLH0MHiTJ76J\nh4dHYGDg+PHj58yZY2lpWV1d/c8//4wePXrz5s0/MBoKhYqJiVm/fv2TJ086OjqWLVs2Y8YM\nNBo94LIhIH4eYY4dFosFq3vfvXvX3NxcVVUVAIDOzk4kUthZP8yKFSswGExYWFhvB87c3Dw5\nOdnHx0cU80L0pq2tzc/Pb8WKFQcPHgRX6Zqbm6dMmbJ27dpr165JWl2/OHbsmKur6+TJk9eu\nXauoqJiVlXXo0KF58+Z13b5DQHTn3r17VlZWKioqXC732LFjhYWFEyZMWLZsmaR1iZbBnjwh\nnBMnTnh7e58/fz41NVVNTS06OnrBggU/U1rBzs4OfBQLASHNCHPRbGxsDhw44OvrGx0d3bVK\nFx8fL7pw0YCAgICAgKqqqnfv3nV0dMBgMBKJZGRkpKmpKaIZIfokLS1NRkbmwIEDXc9eFRUV\nw8PDJ06c2N7eTiKRJCuvP9jY2BQUFGzdunXRokVUKlVfX//QoUPLly+XtC4IaUTM8cQQYmPc\nuHHjxo2TtAoICLEizLE7ePDglClT4uPjLSwsNmzYAABAYmLigQMHEhMTRapJR0dHR0dHpFNA\nCKe6utrIyKjH0qy5uTmPx6utrR0Ujh0AAPr6+mB96c7OTuihCYQQxBxPLD0MouSJzs7OS5cu\nvXz5Eg6HOzo6+vn5DdWHyBAQP4kwx87BwaGhoaG+vl5bWxtcvra3t8/JyXFychKXvP9oaWnh\ncDj9rED26NGjysrKr+0VCAQ/3FhmmKCgoNDQ0NDDCFoGsK82jUYrLy+Xl5fv+oCJCMirgxCO\nmOOJpYfBkjzx9u1bb29vGo3m5ubG5/N//fXX8PDwtLQ0aAkAAqI334iWQ6FQPB4vPj6+sbEx\nICBAW1tbUqs1kydPfvnypUAg6M/BkZGRJSUlQg5ob28fIF3CYLFYkZGR6enpbW1txsbGGzZs\nsLa2FsO8P4+Hh0dwcPCNGze8vb27jOHh4ba2tmCo5U/S3t6+Y8eOs2fPgn0q9fT0Tp486eXl\n9fMjQ0D8AGKOJ5YeBkXyBI/HmzNnjpmZ2aVLl8As1La2trlz5/r5+eXm5kpaHQSE1CHsssVg\nMBYvXtz14NXDw6O9vd3Z2TkzM1P8NSPWrl376dOnfh5848YNIXvhcLiSktJAiBLGp0+fxo8f\nz2Aw/P39FRQUsrOz7e3tw8PDN27cKOqpfx49Pb3ffvttzpw5K1eunDBhApVKvXjxYn5+fnp6\n+s8PzuPxPD0929vbb968OWbMmJaWlj///NPHxyc5OXnatGk/Pz4ExPci/nhiKWFQJE/k5eW9\ne/eue49XeXn56OhofX39N2/emJqaSlYeBITUIRAI0tLSCASCoBdBQUGqqqoxMTE1NTVoNLq0\ntJTFYs2aNcvX17f3wYMIGAwWGhoq6lnmzp3r6OhIpVK7LJcvX0YikWVlZaKeeqC4e/eum5sb\niUTS1NRcsGBBVVXVgAybkpKCx+M/ffrU3bh582Zzc/MBGR9COjly5Ii9vb2kVfRNXl4e+DjS\nwsKira1NIBAkJCTAYLCkpCRJS/spxHOtEzWxsbHq6uq97UQi8fr16+LXAwEhHC8vLzweL0EB\nwlqKJSQknD17duHChV09vtBo9I4dOx48eCAOl/P/U19fHxUVJf55fww2m339+vXQ0FACgdBl\n9PPzMzc3HyzlQgAAmDx58pMnT9ra2sASUNra2gMybHZ2touLy8iRI7sb586dW1xcTKFQBmQK\nCIjvAown/vDhQ0FBARhtAsYTD/m+Ak1NTWA4hDRDJBLb29t7BEbT6XQ6nS4vLy8pVRAQUosw\nx669vd3MzKyHkUgk0mg0UUrqm4qKikEUyNza2trZ2amnp9fDrqen1/8HykMVDoeDwWB6GEEL\nm82WhCIIiP/iiSMiIlpaWrS1tbsaDQ9hSktLOzo6JK3iG7i4uAgEggsXLnQ3njp1ikgkOjg4\nSEoVBITUIizGTkdH5+bNmz0asDx69AhKRPom8vLyaDS6qqqqR/fbqqoqKysrSamSEiwsLK5c\nucJkMrFYbJfx4cOH6urqA5hyCwHRf6QqnlicDIrkCRKJFB4eHhgYWFBQ4O3tzePxkpKSLl26\ndOnSpd63iBAQEMIcu4CAgKCgoJKSEg8PDz6f//Tp07i4uGPHju3du1cUUvz9/YXs/fz5sygm\nFRFoNHratGn79+93c3Prcl+SkpIKCgpiY2Mlq03i+Pr67tmzZ/78+X/++SdYv+batWu7d+8O\nCwsTadETCIivsWPHjuzs7JiYmPHjx48aNQoAAHV1dRcXl99++y0+Pl7S6kTIoEieAABgzZo1\nhoaGoaGhMTExcDjczs7u6dOn/RHPZDJfvnxZV1enr69vbW09KCr2QUD8JMIcu23bttFotBMn\nTkRHRwMAsGrVKhwOt3Hjxh/rtfdNrl27RiAQvtaKlE6ni2JS0XHixAlXV1cTE5PFixcrKChk\nZWVdu3bt4MGDQz7P7psQCIS7d+8uWrRIS0tLX1+/paWlo6Nj+/btQUFBkpYGMUxJSEj4+++/\nPT09uyxgPPEvv/wiQVUQ3XF3d3d3d+fz+TAYrJ93gDdu3Fi/fn1DQ4OSklJjY6OFhcXZs2ft\n7e1FLRUCQrIIc+zgcPiBAwdCQkIKCws7Ojrk5eXNzc1xOJyIpBw5cuTw4cOPHz/usxbJkydP\nxo8fL6KpRYG6unpxcfGxY8ceP37c3NxsamqanZ3t6OgoaV1SgYmJSV5e3tOnT9++fUsmk8eM\nGaOuri5pURDDF6mKJxYng6jzBAgcLiwuvDtPnz6dPXv2jh07tm/fjsPhmpqaNm/e/Msvv5SU\nlEBXG4ihjTDHLjMz08LCgkgkjh49WgxS1q9ff//+fX9//zt37vT/2yvN4PH40NDQ0NBQCWpo\na2v7448/CgoKkEiko6PjmjVrROeafxdwOBxq4wghJQzbeOLB0nniBzhy5Mi8efP27dsHbior\nK8fExNja2kZFRR06dEiy2iAgRIow/2nSpEmlpaVikwIAwIULF2bMmNG7mRUAAPLy8hMmTBCn\nmCFAVlaWgYHB1atXNTU1FRUVIyMjjY2Nxfx/CgEh/YDxxGvXrk1NTQXjiUNDQzdt2rRixQpJ\nSxMtgyJ54sd49erVlClTulvgcPiUKVNevnwpKUkQEOJB2Iqdr6/vhQsXHB0dxRbSrqiouHr1\n6j53WVpaPnz4UDwyhgadnZ1+fn4zZ848deoU2BmJyWTOnTt34cKFz58/l7S6gSc/Pz8nJ4fJ\nZFpaWnp4eAyNRV8I8SDmeGLpYbAkT/SgsLDw8ePHra2txsbGPj4+3fPru4DBYHw+v4eRz+dD\nVwaIIY8wx05LSyslJUVbW9vBwYFIJHbfde7cORELg/hZMjIyvnz5cvTo0a5+l1gsNiIiQk9P\nr7S0dCjlcNDp9KVLl167ds3c3ByDwRw4cMDY2PjKlSv6+vqSlgYxOBBzPDHED8PlctesWXP+\n/HktLS1lZeXo6OidO3f+888/Y8aM6XGko6PjjRs3uhdb4HK5aWlps2fP7nPk0tLS3Nzczs5O\nCwuL3qNBfI2ioqIrV658/PhRU1Nz5syZUBy5NCDs3uXixYtgsbHi4uKs/4/Y9A1DeDxeeXl5\nenp6VVXVz4xTU1Ojrq7e1V0RRFdXF4PBVFdX/5xG6WLdunWvXr169erV69evc3NzKysryWSy\nt7c3l8uVtDSIwUFmZmZHRwcOhxs9erSHh4ejo+Mw8eoGReeJ7syfP//8+fMAALS2tubl5ZmY\nmDg6Ok6fPr2lpaXHkTt37kxNTQ0KCmpqagIA4P3797NmzWpubg4MDOxxJIvFWr58ubm5+YED\nB/7444/x48dPnDixvr5ePO9oULN7925bW9vc3Fx5efnXr1+PGTMmODhYIBBIWtewR/D1XrFD\nFWnun5iZmWlubg4AALjMNm7cuNLS0h8bKiUlRU5Ojs1mdzd++fIFAIDnz58PhFipoLW1FYlE\n3rt3r7uxubkZjUbfvXtXUqogeiPNvWIxGExubq6kVQw837zWPXnypKWlRWx6fpLU1FQAALy9\nvel0ukAgqKiomDx5srq6urq6elRUVO/jHz16BJaIB910FxeXN2/e9D5s5cqVWlpaOTk54OaH\nDx/GjBljb2/P4/FE+nYGO7du3ZKRkbl582aXJSMjA4fDxcbGSlCVNCDVvWIhxExBQcEvv/wy\nevTo2tpaNpv99u1bAoHg5uYG3nF+L2DC6enTp7sbf//9d01NTWtr6wERLA1UVFRwudyxY8d2\nN5LJZFNT0zdv3khKFcTgAownFgy/lYbBlTwB1sbft28f6Kjp6+tfv34dBoMpKiq+ffu29/Hu\n7u4lJSWFhYWJiYnl5eUZGRkmJiY9jmlvb79w4cLp06e7ij/o6OgkJCS8fv06MzNTxG9ocHPx\n4sV58+Z5eXl1WVxdXVesWHHx4kXJiYIAAOExdhBi5uDBg5MmTTpz5gy4aWxsnJKSYmlpGRUV\n1ZW0339IJFJkZOSyZctyc3OnTp3KZrMTExMfP36clpY2iMpWfRMwbppKpfZ4dkalUvsMqYaA\n6M2wjSceRMkTAoGgqKgIBoNRKJQuIwaD+eWXX+7cufO1R+dIJNLCwsLCwuJrw5aVlXE4HHd3\n9+5GVVVVIyOjoqIiNze3gdI/9Kiqqpo7d24Po6WlJbiw+jUqKiqSkpKqqqq0tbV9fHx6u9oQ\nPw+0YidF5OXlzZgxA3ydnJzs6elpampKp9Pj4+M5HM4PDLho0aK8vDwmk7lz5879+/eTSKTi\n4uIhVkzf2NhYWVn50qVL3Y3Z2dnv37+HiuRB9BMonlh6YDKZ0dHRK1euXLNmTUxMTI9IWWNj\n4wsXLnS3UKnUpqYmIcWweDyekIceKBQKnLS3DHAXxNeQl5fv/Yf9/PmzvLz8104JDw83MzNL\nSkpiMBg3btywtLTcs2ePaFUOTwRQjJ3UoKamFhsby+fzAwICMBhMYGDgmTNnxo4di0KhbG1t\nKRSKpAVKKRcvXpSRkdm2bVtxcXFlZeWpU6fIZPKqVaskrQvi/yHNMXZDlW9e6z5//szlcsWm\n55sUFBRoa2urqan5+fn5+vqSyWQzM7OPHz+Ce52cnGbPno1Cofz9/XNzc8vLy8+ePYtAIExM\nTPh8fu/RPnz4MGvWLDQaDQAAkUjcuHFje3t7j2M6OztJJNLp06e7G/Py8mAwWJ8BeRBdnDhx\nYuTIkU1NTV2Wjo4OPT29r33k7t27h0Qi4+PjuyypqaloNPratWsi1ypeJB5jBzl2UsTUqVP9\n/f2vX7+OwWBev34tEAj4fL6dnV1gYKCent727dslLVB6SU1NNTAwAO9VyGTyiRMnOByOpEVB\n/D8gx078DK7kCTabPWrUKF9fXxqNBlpaWlrc3d3Hjh0Lbt68eROJRK5Zs8bJyQksR4dEIolE\n4ufPn3uP9v79ezKZ7O7ufvfu3Tdv3sTFxRkYGFhbW7NYrB5HRkZGYjCYQ4cO1dTUNDc3x8bG\njhgxYvHixSJ9s0MAJpPp4OCgpqZ28uTJ+/fvnz59WldX19TUtKOjo8/j58yZs2DBgh7G1atX\ne3h4iF7sgFFYWHjq1KkDBw6kpqZ+7VdG4o5dHzF2dXV1whf5OBzOkO+0IxG2bt3q7u5eXFzs\n4+NjZWXV1ta2ZcuWd+/eJSUlGRoa/vHHH7///rukNQ4kAi6P19rOrm3gtbbz2ii8dgqvrYPX\nQeV1/NugE45BA32FA8IxaJSWKkpbHTVKC6UxEoDBpk2bNm3atJaWFhqNpqWlJd73AQExWJGq\n5Ins7OyPHz8+e/YMj8eDFgUFhVOnThkbG5eXlxsYGHh5eV2+fHnjxo2NjY2ysrIdHR0uLi5n\nzpxRVlbuPdrevXvNzc3v378PhhSbmJhMmjTJxMTk/Pnza9as6X7k+vXriUTitm3btm/fDgAA\nDofreg0hBAwGk5GRcfTo0VOnTn38+FFDQ2Pu3Lk7d+4kEAh9Hl9ZWdm9rCCInZ3dgwcPRC92\nAGCz2YGBgRcuXDAyMpKTk/v99991dXUvX77cu820xOnDsdPQ0PjmaYLhlz4mIgQCQX19vZKS\nEhqNdnFxiY+P9/PzKykpyc3Nra+vHzVq1N27d7W0tLS1tRsbGyUt9kfgUWm8NgqvuY3XRuG2\ntPHaOnitHdz/eXIAAMBQMkglBQRRFiFPRCqT0QY6cAK+63QBlyvoZHcfEI7H8lo62NV1jOdF\n3OY2OBaDNtBGG+igDXTkjXTJZLK43yEExKBFqpInPnz4oKGh0aNxrZGRERaLraysBJfkfX19\np06dWlRU1NjYaGBgICT0/mn64+Nbd7KL3vFpdAAGwzlYksnkmTNnPnz4sIdjBwDAwoUL/f39\nq6qqmEymgYEBFF3XTzAYzK5du3bt2tWfg2VlZXuXG2xubu6RriS17Ny58/bt21lZWU5OTgAA\ntLS0rFy5ctq0aW/fvpW2RL0+HLsrV66AL6hU6r59+1xcXNzc3AgEQltbW0ZGxsuXL48cOSJe\nkUMTCoWyd+/eM2fO0Ol0BAIxfvz4iIiImTNn+vr61tTULFmyRE9Pz9HREbyfrqioUFdXl7Tk\n74BT10i585T+NJ/PZAEAAJORQSgQkfJEBJmEHKmMMTdAkOQQZHmkPBGprAD8aJMfXms7611V\nZ3kVs+hdx/WHgICPMTXA2ppijPVRWqo/POz/QyDgM5gAAAi4PAGrEwAAAZsj4HAAAOAzOwU8\nPgAAfDoDjpLBWBrDkEMn3RgCQsyQSKTW1lYej9c9bb+jo4PFYnWPx8fhcOAva9/w+YzXb2kP\nsu85TEU/fdOUUwaXJQg62S1nruIcLc1QhFv0vgu/w+FwPT29gXs3ED2ZPHnymTNntmzZ0uXJ\n0en0CxcuzJo1S7LC+kNnZ+dff/115syZrs8emUyOiYnR0NBITU3tnR0sWfpw7ObNmwe+WLRo\n0fbt27vX6V63bt2+ffvu3Lnzta4sEP2Ew+FMnDixvb39/PnzNjY2DQ0Nx48fd3JyysnJ8ff3\nnzp16r59+7pqs9XW1h4/fnzVqlWS1dwvBALGqzfU20+YRe/Qo7QVlvuidNQR8nII2b4X538S\nhAIJP9oaP9oaAAABh8t6W8HIL6beyWg9nwTHYdFGuhhDXZSeJkpTFYZFw7GYrhP5dCb3Syun\n9lNnVR27qo5PZwJcLr+TDQCAoJMt4HABAOAzWUCvXpO9gaFRMCRSwGYj5ImkuZ4EF/uBcSgh\nIERPU1MTmUyWkvpHbm5ubDY7JiZm6dKlXcaTJ08qKyvb2tp+83Reazv1YQ4tPZfXQcU5WUe0\nfhjhaLP78O8AAAg62YznRfSsl5Pr6C5EfebLEqyt1D0+G/KsX7/+8uXL9vb2ISEhhoaG79+/\nP3ToEI/H+/XXXyUt7dvU1tZSqVQXF5fuRgKBYGtrK4UFU4XVsbtx4wZYELI7Pj4+bm5uf//9\ntyhVDX3i4uLev3//7t07JSUlAAD09fXHjh3r7e29a9euGzdurFu3zt3dfc6cOVZWVjU1NbGx\nsfb29lL+6eczmLT0XMrdp7yWdryz7chDW9B6muIUAJNBYi2NsZbGAADw2jpYpZWdZZWM/ML2\nxNsC7r9Nk+B4HByL5tMYfFYnAAAIoixKRx2tpwkn4OF4LAAAMCQChkGDo8FQKAAA4Fg0DAEH\nzwUAAEAg4FjwABkY6r/gJD6d0ZH6qPVsQkfKA9JcL7yTFQCDifPtQ/wAko0nbm5uTk9PLysr\n6+joAABAXl7e1NR04sSJPdoAipTS0lJzc/MeTz8lBZlMPnz48KpVq168eDFt2jQOh5OQkHD1\n6tWEhITugYBMJvP69etlZWVkMnncuHFgjTrqo5zW80lIsrys5zjCeEeELMGRKAgMDLRzHevl\n5QVDozCjraOyHx2790/2vmOfD/+FH22tsHQ2gvgjf2oWixUZGfno0aOWlhYjI6MNGzbY29sP\n2F9h6EIgEHJycsLCwrZv397Y2KisrDx37ty9e/cKKY8iPYAPW2k0Wg87lUrFYDB9nSFJhDl2\nHA6nrKxMW1u7u7GiooLNZn/lDIj+8vjxYy8vL9CrA4HBYEuWLFm0aBEAAMePH/f29j537tz1\n69fV1NT++OOPhQsXwqTVUeA0fKHcekx/kgfDYWQnucj+MubHLpcDCEKeiHe2wTvbAAAg4PK4\nTc0CViePxhSwOvmsTjgWg1SURyiSBnAdEY7Hyc+fJuc5riPlQXPkpY7ke/LzpkKrAlKOpOKJ\nuVzu5s2bT58+zeVy0Wg0GGxOoVA4HA4Wi92xY8euXbvE832XquQJAADWrVtnbGy8e/fuS5cu\nIZFIBweHZ8+e2dnZdR2QlZUVEBBAo9HMzc1bWlo2bdoUtGr1dj1r5vMS+YU+ch6uXTdUixcv\nrqysnDFjhrGxsZaWVlFREYVC+fP8uVG+vp2VNS3RcfUbwhQWzSSMc+w6paWlhU6na2oKuyNt\naGgYP348jUZbuHChoqJiTk7O6NGjDxw4sG3bNtH9WYYMcnJy4eHh4eHhYNlIScvpLwI2RwWN\n87KwfRJ9Xn3mLH4HDalCxjlalZSUvHz5MiIiQtICeyLMsZsyZUpAQEBgYKCjoyMej6fT6c+e\nPYuMjBxiFW4lApPJVFRU7GEkEolMJlMgEMBgMDc3N+kves4qKafcesx4UYLW1yKv8cM5WcGk\n45lOd2BIhIyqinjmQhBlFRbPlJvm3pF0t+nIWZS+lvz8qRgzA/HMDvG9SCqeOCQkJCYm5vjx\n4z4+Pl3OJZ/P//DhQ0JCwv79r+0pUwAAIABJREFU+1EolHgcBalKngCZMGHChAkTwMtgj13N\nzc3Tp0/39fU9fvw42Goi/3Ii58rtxvZio99/RWn3jEIOCwvz9/e/fft2fX29l5fXrFmzwKsu\nWk9z5OGtlLRHLWfjaRn5+DG2uTWVm8N/r/7wQVYGraGkvGHhkl80R3E+1HIbvwAAgFRRlNEc\niTEZhbU02rJli5yc3IsXL0B3fNOmTdeuXZs7d66Xl5cUZkdKLVLk1fH5PAqNR6HxO6i8dgqv\ng8aj0HhtHXwKjUel8dqpvA4qmMAXNcqJVUOpOh2LH6GMMBv1pKxwx44dM2bM6GpGJz0Ic+zO\nnDmzfPnysLAw/v8ijWAwWPeeVxA/jJGRUWpqao+LV1ZWlpGRkdSuzP2HQEDPed2Rcp9d8wnv\naDly/0a0oa6kNUkRSDKJvGoe0Wdie8Ltxr1/YMwM5OdPRRtAFYKkDknFE8fGxoaHh69YsaK7\nEQ6H6+vr79y5E4fDRUZGDvMVoD4vg3FxcUQiMSoqColE8lrbW2NvKGe9qNZTn5Ec817rRJ/j\nGBoaGhoa9jE+Ak70+QXnZNV+9VbdpWsGTHaa2QTA7N/2FeyS+pL3n6xmTJUZqQQAAPdzC/tj\nXdvF5GYafUEHT2G6H4bFAf633D9r1ixbW9tr165Bjp0UIuhk80CPjULjd9C4XR5bG4XXQeVT\naDwKDRAIAACAIRBwOQJCjoCQl0MQZZGqymiiPoJIgMsRELJ4BEkOQZR9lPk0ODj4TcIbAABk\nZWW3bNmyZcsWSb/FPhDm2JHJ5JSUlJaWltLSUiqVisfjjYyM+qwYBPG9LFmyJDw8fPv27fv2\n7QMLo9++fTs8PPzo0aOSliYMbnMbLT2Xlp7Lo9JlfxmjvHUFUhkqL9I3SBVFxfULiTMmtV29\n2RByHGdrRpo3FaWt1nVATU3NsWPHiouLsViss7NzcHBwV/kuCDEj5nji5ubmPr0NECsrq/r6\n+n4OtW/fvpKSkq/tXbp0qYGBQVtbGxjG9OHDByaTqaqq2rXZ3t6upaUFFgnqvVfaNsvKytav\nX19WXCJX+lGQliGjMYKzbSmykyH39GZ7e7u8vPwPjKziP9Xt4NZdm7dMcZ/AEvBGKirJKynm\nvn71z6VLGA15Q0O9/w72cMLRWXcXr9lQr198MZ6vNVJNS2uEgxUAAPPmzVNQUBDyd4Y2RbTJ\noFBVsHhZDp/XTqlhUju5XFJTO66xlddBa1Ins9EyhKL32PovAAC0j7Xkkomkz+1yPABBkvti\np8rGoFQwOCUFeYScbA2tncXj9Z6I2LX5pVFVBj5x4sSSkpI3b97Q6XR9fX0wOLW3KjKZDP6s\nSwphjh1IW1tbXV1dY2NjQEAAmUxub28nkUhiUDa00dbWTk5OXrp06aVLl8zMzD59+lRRUfHr\nr7+uXLlS0tL6gM/qZOQX0TOfMwvLZEYoyXqOI4xzRMiJJNF1iCGjPkL51+XsD7VtV9I+bTmE\nd7YmzfWSUVVJTk4OCAiwtraeMGECi8U6f/78mTNnHj16NGrUKElLHo6IOZ5YR0fn/v37rq6u\nfe69e/duVxuVb4LFYoXEnjMYDA6H07X6hUAgkEhk900KhUKn00HHrvdeadtURWL0WUBn7mt2\nK21k0EK8k1V1TQ33I0UgEIAB7D8wcnV19ZcvX+YtWcRkMvksFlKBhJAljHV1Tbx2rb6+vqmp\nqby8XE1NzcLCAolEyulpn/1YMvHwbyYj1Wk19e2Xb8hy+PgxNk1NTSoqKlL1txoCmwI2B8Zi\nw+jMzvKPNMY7XlsHG8bj8nlt958xaz/zKDTKKDUuHtvyrpr+uQ0hR+DZGgEkAsDhIVUU0QY6\nOBIOiUIoOtnKq6gg5Aiwhk8sFktRRQV0YGjV1QgWC6uigiGRAABAVnciWax+iiQQCEgkEv6/\n6ge9D+bx/k3XkxQwgUBw8+bN+fPnU6nUHvsYDMbixYsTExPBzdLSUhkZGWdn58zMzP5fd6QQ\nOBz+22+/9b5BFz8UCuX69esVFRUqKiq//PKLkJt4icCj0Jiv3zJfljBelsCQCJyjFWGcI8ZY\nD8r3/DE6yz60xaWx3lWinKwmHv5t3tpVoaGh4C4WizVjxgwGg5GRkSFZkaIjPDw8MTExPz9f\n0kL6YPbs2RkZGb3jid3c3K5fvz7g0509e3bVqlXz58/38fHR19eXk5MTCAQUCqWioiIpKena\ntWtxcXFdj4l/hm9e63JycszNzcWZh/tjdJZXddx4SM8rfN36WWneVKbWiFEGBmDC8pIlSyoq\nKrKysn5s5Ly8PCcnJwaD0T3qi8fjqaqqgo1llZSUOBwOi8U6fPjwmjVrFixY8P79+/T0dDwe\nT0l91HYlrcLNwmPdyoKCAuhR7HfBo9D4FBqPQuW1Uf99KtpB4bVTeRQar4PCb6eCtQsAAICh\nUeCTUASRgJCTRcjLweUICKIsgiSHkCOAz0+l6ldp6tSpT5486Z1CKzaErdjt2LEjOzs7JiZm\n/Pjx4EKCurq6i4vLb7/9Fh8fLy6FQxk5ObmFCxdKWsV/CDhc9se6zvfV7MqazvfVnPrPCAIe\na22sFLQIa2MKk/n2+u4w5NmzZ4mJiVVVVbq6unPnzhVS+ABtpDti3wZmYVll1MUbztNJIwx4\nbR0IeSIAAGCrSvAZnJqa2tdGgBARYo4nXrFiBQaDCQsLi4uL67HL3Nw8OTnZx8dHFPP2RgqT\nJ3rAKqvsSLzDLHqHszOr8nT0X7eK+ThJRkaGw+E4OjqOGDHi7t276enpPzy+gYEBEonMzMyc\nNGkSaGlqanJxcWlqatLR0fHy8srJySkvLw8ICNiwYYO6uvrRo0fd3NyMjY0XL16sqKhI4lKs\n7zz7Y0co5NXx6Uw+ncFnMPl05r///mth/WvvMtIYfAYTjGwDYDDQXYMTCQiSHFJZAa2v9a/r\nJkcA/TkYGmoE8n0I+6lOSEj4+++/PT09uyxoNHrHjh1QVuyQQcDjc+oa2O9rOiurO99Xc6o/\nCfh8mRGKKD0t2YnOaENdtJ4mVG73awgEguDg4FOnTk2aNElfX7+4uDgiImLTpk3CUymxlkZ3\nRil8rHgdUqZRt26vnIernPdEhBwBXAWHHDuJIP544oCAgICAgKqqqnfv3nV0dMBgMBKJZGRk\nJLzWxrCC9fZ9e+IdVkk5frS16rEdWe/LJk+eHBwcDADAX3/9xeFw8vPzUSjU/fv3f8Y9lZeX\n9/f3DwwMTEpKsrS0BABg5cqVHz9+xGKx5eXlSCRSIBCEhYUdPXp0wYIFJ06cSE9PLywsjIiI\nePjwYXNzs6mJib2h7dTPbdzmNqTiIKjHNrDwqDTmixJGXiGzsAzsxwMCx2HhOAwcj4PjsXAc\nFo7HIskkuIbqf0YCDi5HQMjJIojStdgGUl9fn5ub29HRYWpq6ujoOAgyGv8/why79vb23nch\nRCJRgguMED+JgMtjf6jpfFfF/ljHrm3k1DUI2BwkmYTS18I7WaEWeKP1tcBSvRDf5MqVK+fO\nnXv8+HFXOfL09HRPT08nJ6eZM2cKOVFlxIgT5cVR6XcYOa/aE25T7j4ljHf6YqIFAICKipgq\ns0D0RvzxxDo6OqIrgNwfpKrzRBedFR/b4lJZJRX4MbZqJ0Jk1EcAABC2aMHixYvDw8MBADhy\n5Eh9fT0Wi7W2tn79+vXXohX7SVRU1NKlS21tbS0sLGRkZPLz83E43OLFi5FIJAAAMBhs165d\nf//9NwqFKi4uBgAArDW4Y8cO8HQBl/d5T2RzZMyIPUHD5DaY29zGyC9i5Bey3r5HEHA4ewul\nTUuQZPl/PTYcVgp9tX4iEAh279595MgRWVlZEolUVVXl7Ox84cKFwdVuTphjp6Ojc/PmzbVr\n13Y3Pnr0SLJXIojegCveAjZHwGbz6SyBQCBgMLsKqwoYLAGfz2380vmuqrOyRsDlyqipoPU0\n8c7WMhqeaF0N8GkgxPdy6dKlpUuXdm8y4+7uHhAQEBMTI9yxmzx58po1a6L//HPt2rV4Zxt6\nXiHl+gPU3aeJnn7KrXRAUzB4L4uDlB7xxB4eHu3t7UMgnvibSFXnCQAAOHWNbVfSGPlFeCer\nLpcOJD8/v6v7DgwGA3tne3h4PHv2bMOGDT8zKR6Pj4+Pz8/Pz8nJqaury8/PHz16NAqFAgCA\nw+FERkbGxcU1NDRcvXoVBoN1dnb2SHiEIRGKwYs/bf69PfkeafaUn1Ei5XA+fWbkFTLyCjsr\na5BkEs7RkuQ7BWOkN5Tc2cOHD0dGRl65cmXGjBkAANTW1i5btszT07OoqEiyia7fhTDHLiAg\nICgoqKSkxMPDg8/nP336NC4u7tixY9KQdjB8EHA4vA4ar4PKb6eAhRN5HVReB43X2sGjUPk0\nOo9C79HSFI5BA/+7BYdj/32NVFLAmI0izpyENtT5tzsWxM/x8eNH8MvfHQsLi3Pnzgk/UUVF\nJTIyctWqVQ8fPpw8eTKdTo97lEBqpUUHrGw6fAahKC87yUV2vBNcFqp+IiaGbTyx9HSe4Da3\ndVy7S03PxZqO6rMhIZ/P772yiEAg+P1o6NwfHBwcHBwcWltbjx8/bmJikpKSEhoaOnXq1Pfv\n3wcHBzc3NzMYDDqdPnbs2CdPnvSoTIRUlFdc49d04jzW3HDoFfXk1DbQc18zXpSwP9QgVRRx\ntmbyi2diDHWH3v0nj8c7fvz4oUOHui7sGhoaiYmJWlpa169fnzt3rmTl9R9hjt22bdtoNNqJ\nEyeio6MBAFi1ahUOh9u4cePmzZvFJW+owWeyAB6fT2cIuDxBZyefxRZweXw6Q8BkgfGkPBqD\nT2fwwX+pdF47lc9kgefC0CgEURYhTwQrKMqoKsMJeIQcHi4ni5DFw3EYGBYDk0F2b3UPIVIU\nFBQaGxt7GD99+tSf9Y9ly5bZ2dn9/vvvEREROBxuzJgxu3btUlZW5rVTqA9zqLeftF+5iR9j\nI+vhitbXEo18iP8YtvHE0pA8waPSOpLuUu9nobTURuxahzHve4nUxsbmzp07Hh4eXRYOh/Pg\nwYOBLRGloKAwevTop0+ftrW1aWlp8fn8Z8+ePXr0qLa2FofDpaen+/r6njx5cufOnT1OxDlZ\nEdwcv5yMUT26HY4b/NEsfD6r7AMjv5CRV8htbkPraeKdrJQ2LJJRG8qxIg0NDV++fJk4cWJ3\nI5FIdHJyKigoGCKOHRwOP3DgQEhISGFhYUdHh7y8vLm5OdjIZWjTuCeS+6W1axOORgHI70sI\nFbDZAg7339edbAGHK+BwBGxO7yNhSAQMjYbjsf9GJ+BxCDwOqUmCE3AIOVm4HB4hR0AQ5RDy\nclBmkLQxderUM2fOrF+/vsuT+/LlS0xMTNcDI+FYWlpevXq1hxFBkiPN9iDNnMR4UUK9l9mw\n4yhKR0Nusgt+rC30ARAdUDyxROCzOik309uS79ORsPcmqhpTxo/8ilcHAMD27dtnzpypoaER\nFBSEQqE+ffq0fv16Go22fPnyAZRUUFBQXV3d0NBAJBKpVCqXyzU3NwcAQEtLKzU11cLCYvny\n5ampqb0dOwAAyMvmfNpyuOWveKXgxQMoSZwIOFxW8TtGXiHjeRGPxsCY6MtNm4BzsBgmeSFg\nVGXv6pWdnZ3I7/QBJIswrefOnRs3bpy+vn73VmgNDQ0rVqy4efOm6LVJDKL3RG5z24AMBUPJ\nwFAyAADAsRgYAgHHYwAkEo5Gwf7dFPeNHZfLvXbt2uvXr2VkZJycnDw9PQddvo/0sGHDBjCT\nbvPmzaNGjSorKzt+/LimpmaPsNQfAQ7HOVjgHCw4DV+o9zNbY1NaLyUTxjvJTnKRUYVavww8\nwzaeWILJE7T03JZ/rrd1UI4UZr3BwtjPORV7d86cOfPcuXNycnK9j582bdqFCxc2b94cEhKi\npKT06dMne3v7Bw8eDGCAIIfDmT179tixY/fv33/o0KF//vkHhULB4XBdXd3CwkLwGDU1tZaW\nlj5Ph6FRSsGLG3YepT0xJoxzHChVYoDP6mS+fst4VsB89UbA5WEtDOX9vbH25gjZ4VWFfsSI\nEbq6uomJibt37+4y1tTUPHv2bHC1+BPm2K1YsYJIJMbGxk6bNq3LSKfTb926JXphkgRrbSJp\nCSKhvLx89uzZdXV1jo6OHA7n+PHjYItDJSUlSUsblODx+Ozs7KNHj547dw6sY7du3bpNmzYN\nYIytzEglhUUz5f2mM14U0x5k1QftQxvpynmNxzlYwKQsk3FQM2zjiSWYPMEsKI1v+JDaWnvh\nTjIY11hUVDR37twVK1Z8La7R39/f29v7+fPnDQ0NhoaGNjY28AEN28/IyKirq3vx4gWJRDp3\n7lxzc7OysnJgYKCVldXHjx/BxiQlJSVaWl+NjkDpasj7TW/9OxFtpCszQtqvq3wqnfGiGCxW\nAkMisDYm5DV+WGuT4RzPs3///kWLFsFgsBUrVpBIpIyMjI0bNzo5OU2ePFnS0r4HgUCQlpZG\nIBAEvQAAYP78+XA4fPfu3Xw+HzRWVFSAZw1eYDBYaGiopFWIGy6Xa2pq6uXl1dLSAlpqamrs\n7Ow8PT0lKwyi/7AqPn6Jiv04P7hm2Y6W84ms99WSVvQdHDlyxN7eXtIq+obH4+3cubN77wEc\nDhcSEtJ13RukfPNal52dTaFQxKanO69evYLBYBUVFd2NOTk5MBistrZWzGJoNFpJSUlERISh\noWGXMTExEYPBPHnyREZG5uHDhwKB4NmzZ3g8PiYmRthYfH7jgdP1Ww7zOVxRy/4xOF9aKfez\nPh+M/ugbVL1465fIGPrzIj6bI2ld0kJCQgKYcw0AAAKBWLNmDdiDpP94eXnh8XgRyesP33hs\nvG/fvhkzZixZsuTVq1f//PNPnyvkEIOCrKys8vLy9PT0rrtzDQ2NP//8087OrqamBiqLOihA\n62uh9bUUFs+kZ72kZT6n3M6QUVXGu9gTXO2RymRJqxvEDNt4YgkmT5SUlKirq+vr63c3Ojk5\nodFocJd4ZNTU1GzatCk5OVkgEAAAICMjExERAYPBDAwMpk6dunr16gkTJvB4vIsXL0ZFRaWl\npS1fvjwgIEDYiDCYYqD/p82/t8ffkl8wXTzvoj9wm1oYz4vpua8631UhySSstYnSluVYaxNo\n7b8Hc+bMmTlzZmVlZWtrq4mJyWB0e74dDzhnzhxjY2MfHx97e/vr169LSW48xPdSUVGhra3d\no5i+jY0NCoV69+4d5NgNIuB4nOxkF9nJLtzmNkZeIe1xbvvVmyhdTYKbA36sLYIo7X0/pZBh\nG08sQdBoNJPJFAgE3cN8ORwOl8sVW8Gw5ubmMWPG6OjoZGRkGBkZ7d69Ozo6etOmTYaGhrW1\ntaqqqufPn6dSqVevXm1tbdXW1k5PT+9PMWQEUVYx0P/z739iLQwx5hLuAN5HsRJ/7yFZrGQA\nQSAQg7qAZb8SPczMzF68eOHn5+fo6Lhr1y5Ra4IQBQQCAVxP7n4ZpdFoHA5H+luAQ/QJUlFe\nzmucnNc4Tm0DLSO/I+V+a0wy1mwU3s0B72QNZdH2n2EbTyzB5AlnZ+e2trb79+93j16Kj49H\noVB2dnbi0RAZGUkgEB4+fIhCoa5evXr+/Pk5c+YkJSWhUKi4uLg///zT3d2dz+cnJib2rlgp\nHKy1iZyHy5c/YlWPbZdACoJAwHr3gfmihJFXwGn4IqM+Au9soxS0sHvBZ4ghTH8jT0kk0s2b\nN4OCgrZv3y5SQRAiwtXVtb29PSUlpbvxr7/+UlBQsLGxkZQqiAFBRmOkvL+3+pn9KjtWw4ly\nLX/F164MaY6+zCwsE/AGpnzrkMfT09PHx2fPnj2C/7VsGQ6UlpZ2dHRIZGp1dfWgoKD58+ef\nOXPm06dPNTU1x48fX7NmTWhoqNhuNZ8+fTp79mywycSJEyeCgoISEhJWrVpVUVHh6+v79OlT\nFAq1ZMmS7/XqQOQDZiDk8M1/xALi+kQJeHxWWWXr+aTalbsaQ0+yyioJE5zVonarRewi+XpC\nXt3wQdiK3Z07d1RVVbs24XD4/v377e3t09LSRC8MYoBRVVUNCQnx9/ffsmXL1KlT2Wx2fHx8\ndHQ02ANR0uogBgAYAo61NsFam/BZnYz8Inrm86aD0XAcFudkhXe2wZjqD6XOPwPO8Iwnlmzn\nifDwcA0Nje3bt69evRoAAGVl5YiIiGXLlolNQGdnZ1cPieLi4j179gAA4ODgcO/evfLycgQC\nsWHDhvr6+h8bHCaDVApe8mnbEer9LNnJLt8+4UcRsDnMojJG7mvG82IBh4sx1iX6/IIfY4Mg\nDYvPMERvhDl23Wt8d+Ht7e3t7S0yPRAiJDQ01NDQcM+ePWFhYXA43NLS8vbt20O+tv4wBI5B\nE1ztCa72fDqD8aKYkfP68/5TMBwGZ2OKG22NtTaFISAPrw+GYTyxZDtPIBCIjRs3BgUFffjw\nAYFAaGtrD2z5km9iZmb25MkT8DEUCoVisVgAADx+/Njc3BwsSMtkMn/mvldGfYRCgE/rxWS0\nkS5KS22gZIPwaQzGy2LmixLGqzcAAGDNDBSWzcY5WA7nYiUQIH04dsHBwb6+vs7OzsHBwV87\nLSIiQpSqIEQCDAabN2/evHnzaDQaEonEYKDv/xAHjscR3BwJbo7gbwAj5/WX8HNwHBZrY4J3\nc8SaG0AB1D2A4onFDwKBAOvYiZ/AwEAHB4d9+/Zt37597NixcXFxdXV1V65cuX//PgAAFArl\n1q1bXR+Durq6kpISLBZraWlJIpH6OYWshyuzsOxLxEXVw1vBYvU/Cbe5jfn6LfNFMbOgFLxb\nU9q4BGtpDJMZTK0RIERKHx+FpKQkOzs7Z2fnpKSkr50GOXaDGgJheNUTh4AT/ufhUemMVyWM\nnNefD5xCkuRwjlY4Z2soRa47YDxxaGjocIgnlmDyhDRgZWUVHx+/Zs2akydPqqmplZSUpKam\n7t2719bW9smTJ1u2bCESiUuWLGlvb9+8efPFixfRaDSYtLtr166tW7f2s22P4toF9Zt/b/vn\nusLSOT8gkk9nsKvq2B/r2B/r2R9q2bUNSDIJ52ipsnsdxkgPiq+A6E0fjl1dXV2PFxAQEEMD\nuCwe9PB4VBrz1Rt6Rn7jbxlIMgnnYDmcPbxhG08swc4TUsKMGTPc3d0fPHjw4cMHDoeTkJAQ\nEhISEhICg8H8/PyOHj2KxWKnT59eX1+fkZExZswYDocTHx+/fv16LpcbEhLSnyngsnil9Qsb\nw6IwlsY4254tiXsiEHCbWv514z7WsT/Wc7+0Agg4Sm0ESluNMM4RYzYKpaMxPL+nEP1EmGP3\nNTgczpBvoQghzVRWVt66dau6ulpfX9/b27v7TzJEP0HIEv718Frb6bkF9NxXlDvD18MbtvHE\nkk2ekBKIROLs2bPB1yEhIY2NjQ0NDfr6+mBybk5OzuPHj8vLy3V1dQEAQKFQAQEBPB4vKCho\n8+bN/QxowZgbEL0ntpz6B31sB0Ke2H2XgMPl1H7qcuPYH+v5DCYci0Fpq6G01XF2FigdNRkN\nVehJK0T/6eOzoqGh8c3ThlVFAAip4tChQ3v27NHX19fR0blx48a2bdsiIiKWLl0qaV2DFYQC\nCSyGB5Y7/tfDU1LA2ZnjnK0xRnqSFihCoHhiySZPSCcjRowYMeK/yiDPnz83MTEBvboupk+f\nvmTJkrKyMisrq34OS5rnxXpT/uXYeaVfl3FqG9hVdezqenZVHaf+s4DHQyrKo7TVMSaj5DzH\nobTVkSrkYXVnBTGw9OHYXblyBXxBpVL37dvn4uLi5uZGIBDa2toyMjJevnx55MgR8YqEgPiX\n5OTkPXv2xMbGzpkzBwAAgUAQHR29cuVKU1NTR0dHSasb3HSVO+7t4RHGOaJ0v32/N+iA4okh\nesBisRISEoqLi+Xk5FxcXMaNGwcAQO9YOtDyXQscMARC+dfln7YeqV2+E4ZAyKiPQGmrE8Y7\nobTVUTrqcMLQ718HITb6cOzmzZsHvli0aNH27dsDAwO7dq1bt27fvn137tzpWriGkE5u3rx5\n7969pqYmAwODZcuWaWtrS1rRwPDnn38uW7YM9OoAAIDBYGvXrr179+6ZM2cgx26g+K+hRcMX\nRs4res4ryu0nKE1VnLM1fqydzAglSQscMKB44mGePNGD58+fg0UD7OzsaDRaWFiYp6fnunXr\n3rx5U1VV1T0A6ebNmwQCwdjY+LvGRyiQRv7+K59Kl9FUhSGhvzmEqBCWUHPjxg0vL68eRh8f\nn+TkZFFKgvgpmEzm9OnTZ8+e/enTJ0VFxXv37pmYmJw/f17SugaGd+/e9XbgRo8eXVZWJhE9\nQxuZkUrEWZNVj+1QO/kbbrQ1Petl/bq9DdvDKbee8NopklY3ANR9i6qqKklrFC0S7DwhbdDp\ndB8fnzFjxoAhvBkZGUVFRW/evElISHB1dZ0+ffqzZ88AAODxeFevXg0KCtq6desPVIxCKimg\ndDUgrw5CpAiLx+RwOGVlZT0WeyoqKthstmhFDVra2tqioqIKCgoQCISDg8PatWtxOHEvsIeF\nhRUUFBQXF3eVhjp9+vSqVaucnZ2NjIzELGbAATve9jC2t7dDBVxEioyaCmnOFNKcKeyP9fSs\n55S0R60xyVgLQ4KbA87BcvA2pYXiiYdY8sS7d+8KCgoAALCxsfne2nhpaWlMJvPMmTNYLBa0\nGBkZHTt2bO7cue/fv9++fbuzszORSGQymQgEYseOHTt37hz4NwABMRAIc+ymTJkSEBAQGBjo\n6OiIx+PpdPqzZ88iIyOhXgV9kp2dPWPGDDKZPGnSJC6XGxUV9ccff9y5c8fExEScMmJiYnbv\n3t39orZ27dpLly5dvnw5LCxMnEpEgbu7+6VLl9asWdP1a0SlUq9evdo9YABCdKC01VDaavIL\nvFml7+kZz1vOJbT8FY9ztCS4OWDMBl+5YyieeMgkT1Cp1HXr1sXGxqqoqAgEgi9fvixZsuTk\nyZNdHcO+SXl5uYWFRZcpPmhjAAAgAElEQVRXB+Lk5MRisTo6OmJjY8PCwoqKinA4nLW1NZlM\nFsGbgIAYIAQCQVpaGoFAEPSiubnZx8ene48XGAw2efLkxsbG3gcPImAwWGho6MCO2dnZqamp\nuWLFCjabDVoYDIa3t7eNjc3ATvRNGQAAZGdn97CvWLHCz89PnEpERH19vaqq6ujRo2/evPn2\n7dvExEQzMzNjY2MqlSppacMRPptNy375+WD0R9+g2pUhlDsZQg4+cuSIvb292LR9FwsXLoyK\niuph3Lt379KlSyWiZ6AQxbVOOpk5c6aBgUF+fj64mZ2drauru2DBgv6PcOzYMQsLix5GMMaj\npqZmwIRCDAO8vLzweLwEBQiLsSOTySkpKU1NTZmZmbdv387IyGhsbLx7966Kioqo3c1Bx9On\nTz9//nz06NGulSQsFnvixIlXr169fftWbDJQKBSBQGhsbOxhb2hoGBq3mKqqqvn5+bq6unPm\nzDExMVm6dKmrq2tWVhb0KFYiwGRk8M42yjtWq589IOc9iBfyh208cVNTE4/Hk7SKn6WioiI5\nOfnKlSv29vagxdnZ+dKlS3FxcTU1Nf0cZMKECSUlJWAgHYPB2LNnj52dna2tLQ6Hy8zMFAzp\nJ/IQQwxhj2IzMzMtLCzIZPLYsWPFJmiQUlNTo6amJicn192oo6ODxWKrq6vF+TTWy8srMjJy\n+vTpYBNrAACKioru378/ZGroq6mp/fPPP3w+v6mpSUVFpZ9dfSBECkKOIOfpJmkVP86wjSce\nLJ0nqFQqWC64TwoLCxUVFW1sbLobx4wZQyAQCgoKNDU1+zOFpaXlsmXLpkyZsnHjxgsXLrBY\nLHV1dRaLNWPGjJUrV968efPy5cvQ1QZiUCDMsZs0adLjx4+dnJzEpmbwoqio+OXLFw6H0z0S\nuaWlhcViKSmJtTzEoUOHRo8ebW9vv27dupEjR+bl5Z04cWL27NmTJk0SpwxRA4fDuxcRhYD4\nGYZtPLGUJ0+0t7fv2bPnn3/+aWlpIZFIs2bNOnjwoLKyco/DEAgEl8sVCATdHS8+n8/j8bru\nb/tDdHS0jY3N1q1bqVQqEonU19fPyspycnIqLi52cHBITU0d8p1IIIYIgq/H2C1cuHDlypV8\nPl/Mj4dFjSjiTjo6OohE4rFjx7obN23apKmpCV5xxElTU9OaNWt0dHRwOJytre358+d5PJ6Y\nNUBA9ECaY+ygeGIphEqlGhsbGxkZXb58+dWrVwkJCTY2Npqamk1NTT2OrKurg8PhDx8+7G5M\nS0tDIpG9D/4m6urqkZGRnZ2d3Y1z585dvHjxD7wLiGGIxGPshN3NaGlppaSkaGtrOzg4EIn/\nr73duXPnROVpdoNCocTFxTU0NBgaGs6aNQuNRoth0h9DTk4uKipq8eLFz549mzp1KpfLTUxM\nfPz4cWpqqviLfyopKZ0+fVrMk0JADF7AeOKWlpbS0lIqlYrH442MjHqvDEGIk6ioKAaDUVRU\nBIa4WFtbT5s2zd7e/vDhw0ePHu1+pJqa2urVq/38/CIiIqZPny4QCFJSUjZu3BgcHPwDD0ya\nm5sNDAxQqP9XxEdDQ6O0tPQn3xEEhHgQ5thdvHgRhUJhsdji4mIxSNHW1r569WrXk9+PHz+O\nGzeuuroa3AwLC8vIyJDmS62/v7+pqem+fftCQ0MRCISjo2NRUZGBgYGkdYkcCoVSUlLCYrEs\nLCwUFRUlLQcC4rsZtvHE0tx54sGDB/Pnz+8euIzBYBYvXnzp0qXeB0dERKioqCxfvpzFYgkE\nAhwOt3Pnzm3btv3AvBoaGmVlZZMnT+5uLC0t7WesHgSExBHm2PWZT8Rms9+8eSMKKdXV1SwW\nq2sT/E7m5uZaWlpmZmYuWrQoJCTk7Nmzoph6oLC2tk5JSZG0CvHB5/OPHDmyf/9+FouFQCD4\nfP7atWsPHjzY/9pREkEgEDx//ry0tFRRUdHR0RFyRiGGbTyxNCdP0Gi03sLIZDKVSu19sIyM\nTGho6KZNm96+fQuDwUxMTH74KrRgwYLw8PDp06d39RBLS0u7c+dOZmbmjw0IASFmviOwFOTd\nu3dubm4UisgbCmVmZh46dAi81E6aNGnv3r179+4V9aQQ30VoaOjp06ejo6PnzJmDQCDS09NX\nr17d0NCQkJAgaWlfpaysbOnSpXl5eerq6q2trTAYLCwsbMOGDZLWBSFJfH19L1y44OjoONzS\nHqU5eWLUqFH5+fk9jHl5eUIegxAIBAcHh5+cd9u2bc+ePTMzM5szZ46GhsbLly/v37+/d+/e\nIVPMGWLII8yxo1Kp27Ztu3fvXktLC2gRCARUKvV7W7X8GDQarXsLLHNz8+bmZjHMC9FPqFTq\nsWPHYmJifH19QcvkyZNTUlKsra1LSkrMzMwkK69PqFTqL7/8YmVlVVtbq6qqyufzL168GBgY\nKCcnt2TJEkmrk14aGxvPnTtXWlpKIpHc3d1nzpw5xBwgiccTSwppdlZWrFgxYcKEixcvLl68\nGLSkpKScP3/+6tWrIp0Xg8Hcvn07MTHx5s2bz549A/3LHrVUICCkGWGO3Y4dO65fvz5jxowL\nFy4sXLiQQqHcunVr0aJF4ulMZWlp+f79+67br7KyMlVVVTHMC9EbKpUaGxtbXFwsKyvr4uIy\nbdo0AACKi4s7OzunT5/e/UgrKysdHZ28vDzpdOzi4uJ4PF5iYiLYvRsOhy9durSuru7QoUOS\ncuyoVOr+/fuTkpJqa2u1tbUXLlz466+//kBzcdFx7dq1pUuXamlpjR49uqmpaeHChadPn75+\n/bqQumKDDjHHEwunvr4+JSVl3bp1khYiYdzc3E6ePLl27dqjR48aGxu/f//+7du3oaGhM2bM\nEPXUMBjM19e365YVAmJwIcyxu3HjRmxs7IQJE+Lj43ft2qWurt7c3DxlypS3b9+qq6uLQs1v\nv/2mpaUlKytLIBDk5OSOHj3q5+cHAEB2dnZoaGjv0vAQYiAzM3PevHlIJNLZ2bmmpiYqKmrk\nyJG6urotLS0CgaC+vl5PT6/78WCwnaTUCqegoMDV1bWH2+Th4bF79246nS7+0MC2trbRo0fz\n+fytW7fq6em9ffs2PDw8LS0tIyNDSny7+vr6hQsXgi3PwWogNTU1EydO3Lp1a3R0tKTVDRhi\njicWTkVFxfr168Xj2Elz8gQAAIGBgVOnTk1KSqqqqrK3t/fx8RkO6WgQED+JMMeusbER/M1G\nIBBgBXZFRcWoqKjAwEBRVLudN28ehUKprq6m/I+u+ibHjx8nkUh79uwZ8EkhhEOhUGbPnj1z\n5syIiAg0Gl1aWuru7l5XV4fD4Tw9PQsKCkxNTePj47vqdpaVlVVWVtra2kpW9tdAIBAcDqeH\nkcPhwGAwify2hYeHAwDw6tUrsCXaxIkT58+fb25u/tdffwUFBYlfT28SEhLU1NRCQkK6nr1q\namoeOHBg6dKlkZGRUhueNSCILZ5Ygkhz8gSIlpbW5s2bJa0CAmIwIcyxk5eXr6ys1NbWVlRU\nLCws1NXVBQBATU1NRM1Pr1y58rVd4eHhmpqa31VDHGJASEtL4/P5oFcHAMCyZcvs7e2XL18+\nZ86c3NxcNpt99uxZf3//2tpaEomUl5e3ZMmSKVOmSG08ipOTU1BQUFtbm7y8fJfx2rVr1tbW\nElkhu3379rJly7o3ulVSUlqwYMHt27elxLH7+PGjmZlZj4g6S0tLGo325cuXIRMdIeZ4Yn9/\nfyF7P3/+LIpJ+0SakycgICB+DGGu0vTp0/39/bOzsydOnLhhwwaBQKCoqHjq1Cnxl/MBfUoI\n8fP+/XtTU1PQq6uurs7NzS0pKVFWVmaz2dXV1UeOHEEikUePHlVVVcXhcK2t/9fefQY0kXUP\nA58JIUAIEIr0KiAgTbGgrgrSFNaCa8EC6+rquqJuERUVXUWwsrs8f+ysrl0RAfsqWBAVFRGV\nIsVCEYgIhN4TmPfDvE+ebIAIAplkcn6fyJ3JzMmgl5OZc++t8vX1jYiIIDrqbs2dO3fv3r0e\nHh4RERGjRo2qqqrat2/fvn37Ll++TEg8NTU1nadm1NLSevToESHxdKaqqpqWlibQWFZWJiMj\nIzDIQKKJuJ44NjaWwWBoaWl1ubWxsXEgTtolcR480XNsNvvs2bNv3rzR0NBwd3f/6quviI4I\nACIJS+zCwsKqq6upVGpgYGBCQsKsWbMQBGEwGGfPnhVVeP/DZrM5HE4PlwctLS0tKyvrbiu+\n5kb/hUZmKioqvMHILBYLQRAzM7P3798jCMJkMmVlZcPCwuLj40ePHj1lyhQHBwcxT8FpNFpC\nQsKvv/761VdfUSiU9vZ2IyOjixcvElW+OXjw4PT0dIHGV69eCZQtEsjLyyskJOTJkydjx47F\nWzAMCw8Pd3Z2FvPZCntFxPXEe/fu3bNnT2JiYpfrIty/f3/SpEn9flKyunLlypIlS1RVVR0c\nHLKyskJDQxcsWHDs2DG4EwmkF9b9WrH8uFzukydP7t+/X1VVNWDrmwmDl231cGc7Ozvhn3rp\n0qUDGi1pZGVlUSiUxMREDMPwfO7NmzcrVqywtbXFd2hvbx80aNDZs2eJjLL3ysrK7t+/n5WV\n1dbWRmAYp06dUlRUvH//Pq/l0qVLVCo1ISGBwKgE/Pjjj/g8/jdu3Dhz5sz48eNVVFQyMzN7\nexxxXiuWSqUWFBRgGKapqfn+/Xu88enTpyNGjBigM06dOtXDw6PLRZwTExN73tcJ99m1Yj99\n+iT6xaz7UVFRkYKCwtatWzkcDt6SlpampaW1bds2YgMD0kwc14otKSnpMhnCv7k2NjbW1NTw\npuQWGX9/f/yOUU88e/asqampu63q6uqkqQ0aaNbW1qtXr546deratWtdXFwGDx7s6ur66dOn\nhIQEfIeIiIjm5maB5XfEn5aWVncPwkTJ19f3xYsXrq6uzs7OZmZmr1+/fvr06bZt29zd3YkO\n7X8OHjw4ceLEP//8Mzw8XE1NzcXF5dy5cwYGBkTH1Z9EXE+MIMjx48djYmI+fvyop6fXORhX\nV9ceHsfDw+P58+fdbcUwTHjFnvgPnhDuzJkzpqamW7du5ZWBOjg4bN26NTQ0dOvWrcTGBgBR\nukjsetJlYyJ/lLlkyZKe7ywnJ8cbUQu6g2EYm83+7IJa4eHhI0eO3L17944dO2g0GofDMTc3\nT01Nzc7Ovnnz5s2bN//++291dXXRxEwyKIqGh4fPnz8/Li6uuLh44sSJhw8ftra2Jjquf0FR\ndP78+fPnzyc6kAEk+npiDQ2NH3/8sctN9vb2d+7c6eFxgoODu/sqjiDI3LlzhSdtkj544t27\ndyNGjBAY3DNq1CgWi0XIBEYAiIMuEjve6NT6+vrt27dPmDDBycmJwWBUV1cnJSWlpaXt3bt3\n4AKqrKy8d+9ebm5ubW0tgiCqqqrW1tZubm5kmg2VcCwWKzAw8NKlS42NjSoqKt9++21wcDD/\nQFF+KIr6+vr6+vq2trbSaLSKiorQ0NCoqKiWlhZ7e/uXL1+K51zEEmT06NF9XwcJ9IVY1RP3\nCq/2sUsoigrP2yR98ISSklJ+fr5AY2VlJY1GE5OZIAEQvS4Su3nz5uE/LFq0aMOGDStXruRt\nWrVq1fbt22/evDl79ux+D4XL5QYEBBw8eJDL5crJyeFzQNTV1XE4HAUFhY0bN27evJlkCxkR\ngsVijRo1ytDQ8Pz58yYmJq9fv96+ffvdu3efPXsm/AsufhNUU1NTnMe9AvAFVFVVY2Nj8Z+z\nsrJSU1NbW1vt7Oy6+7bT7xoaGtzc3CIjIz9bHwz4eXh4zJ49++3bt7yJaTAMO3TokJubm9jO\nugzAQPvMyhPBwcECjd7e3k5OTseOHev3UIKCgk6ePPnnn396e3vzHgd3dHTk5+dHR0eHhobS\naLTAwMB+P6+02bVrl46OTlJSEo1GQxDExsbG09PTxsbm4MGD69atIzo6AERHfOqJuVxuSkqK\n6CdDFvOVJz7Ly8vLzc1t/PjxmzdvHj16dEVFRUREREpKSnJyMtGhAUAYYYkdh8PJzc01Njbm\nb3z79i2+CkW/O336dFhY2LJly/gbKRSKmZnZpk2b6HR6REQEJHZ9d/fu3RUrVuBZHU5ZWdnH\nx+fOnTuQ2AGpIp71xKIk6YMnUBSNi4uLiIj4448/ioqKlJSU3N3dX7x4IT4TBgEgesISO09P\nTz8/v5UrVzo6OioqKjY2Nj59+jQiImKAhuxVVlZaWFh0t3XYsGGlpaUDcV5p09DQwGQyBRrV\n1NQaGhoIiQdIlpSUlJCQkIyMDDk5ubFjxwYHB4t+jHx/IbaeWBxI+uAJBEFkZWUDAgICAgIa\nGxvpdDqU6wAgLLE7cuTI0qVLQ0JCeGu6oyjq4eFx5MiRgQjFxMQkISFh4sSJXW69desWLP/c\nLywsLFJSUvz8/Pgbnzx5IiSrBgB3+PDhVatWzZ8/f+fOnS0tLVFRUdbW1jdv3qyoqEhKSqqv\nr7e2tv7+++8l5Q4QUfXEnTEYjNu3b9va2orgXPwkffAEPxgDCwBOWGKnrq5+6dIlNpudk5NT\nX1+vqKhoaWnZeQWk/rJ27drly5cXFBR4e3ubmZkpKytjGFZXV/f27duYmJjY2Nhz584N0Kml\nyvLly319fV1cXL755hsEQTAMO3z48D///ANVKUC48vLyNWvWHDp0iFcvsXTpUnx1YBkZmcmT\nJyspKf3111979+49d+6cWE3F91kirifujEqlurm5ieBEAADSE5bY4TAMGzRoED7bWVVVVVVV\nFYIglpaW/R7KsmXL5OXlQ0JCOidwtra2cXFx3t7e/X5ScigqKmpubjY1Ne3JU5XZs2fn5eXN\nnz/fwsJi8ODBOTk5LBbryJEjjo6OIggVSK47d+4wGIzvv/+ev7Gurq65uTkxMdHZ2RlBEC6X\nu2HDBh8fn3fv3knKfTtE5PXE4kPSB08AADoTltg9efLEz88PX0hKwAAVFPv5+fn5+RUUFOTl\n5dXW1qIoymQyLS0tB26aUEl38eLFgICA4uJiBEHodPr69es3bNjw2cmZg4KCfHx8rl69+uHD\nBzc3t5kzZ3ae/h4AAZWVlTo6OhQKhdfS2Nh448YNFEV5mQGVSt29e/e5c+cuX77cq0nFiSXi\nemLxIemDJwAAnQlL7Pz9/Y2NjYOCgkQ2mRPOxMREcsuxRenYsWP+/v5BQUG+vr6Kior4sNa8\nvLyePLM2MzNbs2aNCIIEpGFoaFhQUNDS0sKb+pXFYrW2tiIIYmRkxNuNSqXa2Nh0njZWnIm4\nnlh8kGDwBABAgLDE7s2bN+Xl5VCRKp7a29s3bdq0c+fOgIAAvGXhwoVDhw4dMWLEunXrhg8f\nTmx4xMrNzf3tt99SU1Pb29uHDx++detWBwcHooOSeO7u7nQ6fcOGDX/88Qd+i45KpSIIMmLE\nCIF76p8+feo88lqcibieWHwQO3ji06dPR48ezcnJYTKZLi4uM2fOhDGtAPQdRcg2DQ0NvOMG\nYigvL6+8vHzBggX8jcOHDx86dOjDhw+Jikoc3Lhxw87Orrm5eevWrTt37pSXlx89evSZM2eI\njkviKSoqnjt37tSpU/b29mvWrFmxYsWECRPk5OT4b9chCHL37t2srCxPT0+i4vxieD2xiYmJ\npqZmVVVVbm5ubm4u0UGRVlxcnIWFRVRUFJ1OLysr8/Pzc3NzE/0UzQCQj7C8benSpXv27Pnt\nt99EFg3oObysW0FBQaCdTqfjT8ekE5fL/eGHH9auXbtz5068xdfX948//li9evWMGTNgxeE+\ncnFxefPmzf79+9PT02k0Gn5veMqUKZMnT/7+++9VVFQSExMjIiLWrFljbW1NdLC9IPp6YjFB\n1OAJFovl5+cXGBi4efNmvGrzw4cP7u7u69evP3z4sIiDAYBkPrPyxNGjRy9evGhnZyeQQBw9\nenSAAwOfYWZmJisrO2bMGBaLxWQyJ06cuGPHDkVFxczMzJCQEKKjI8zz588/fvy4fv16/sbV\nq1dv3bo1KSlp6tSpRAVGGhoaGtu2beNvycjI2LRp06pVq+rr621sbE6ePDlnzhyCovtCRNUT\nE46owRPR0dG6urpbtmzhPXs1NDTcsWPH4sWL9+3bB2V/APSFsMTu5MmTDAaDw+GkpaWJLCBx\nUF9fz2AwxLzaY9u2bR0dHSwWa/Pmzbq6useOHbO2th46dOiQIUNcXV2Jjo4wbDabTqcLFHjR\naLRBgwZVVlYSFRW5mZmZRUdHEx1Fn0htPTFRgycKCwttbGwE+lh7e/uGhoby8nIYpA9AXwhL\n7IqKijo3trW1vX79esDiIVJTU9OePXuOHDny6dMnRUVFT0/PsLAwgamtxERWVlZ4ePiNGzfi\n4uI2bdpkYmLCYDCam5vz8vLS09OluTLSyMiosbGxqKiIv/CrpqaGxWIJlIIBwCO19cREDZ5Q\nVVVNTU0VaCwrK6NQKCoqKoSEBABpCBs80aW8vDwnJ6eBCIVYXC538uTJJ06c2LFjR1paWlRU\nFJvNdnBwePfuHdGhdeGff/6xs7ObMmVKZGRkRkZGYGDg4sWLDxw4UF9fr6ysTHR0RLKxsRk2\nbNgvv/zS3NyMt3A4nF9//VVfX3/8+PHExgbEFl5PTHQUUsTLy+vp06ePHz/mtWAYFh4e7uzs\nzGAwhL+3vr4+Ly+P9HNHA/DFhH1Jra+vDwwMjI+PZ7PZeAuGYfX19ebm5iKJTaSioqIyMzOz\ns7N1dXURBHFwcPDy8vLw8Ni8eXNUVBTR0Qmqrq7W1tbGfx46dOjQoUMRBCkuLsYwrLq6Wsqn\nGz179qynp6eVlZWXlxeVSo2Pj6+trb169Wpubu7vv/+emZmpoqIyYcKEtWvXSnkSDHiktp6Y\nqMETo0aNWr58ubu7+88//zx+/Pjq6uojR45kZGQIH9GfmZn5888/JyYmIghCpVK//fbb3bt3\nDxo0SFRRAyAZhN2x27hx4+XLl6dMmdLW1jZv3jwvLy8EQRYtWnT37l1RhSc6t2/fnjZtGp7V\n4SgUyrJly27fvk1gVN0xNjZ+/fp1e3s7f2NGRoa8vDz/R/hiubm5hw4dCg4Ojo6O5t36khRD\nhw7NyclZvXp1ZWVlaWnpokWL8vLyXr586eDgUFNT4+vr6+zsHBUVNXToUPG8HQtEj7+e+NG/\nER3awMrJyamtrSXk1AcOHDh27Njt27dnz54dGBhobGycmZlpa2vb3f6vX78eN26cqqrqs2fP\nWCzW1atXX7x44eTkJEEd1IcPH65fv56QkFBeXk50LIDUMAy7du0ag8HAOtHX179z5w6GYerq\n6vjdoIqKipEjR8bHx3feWYKgKPrbb78JNH7zzTc//fSTQGNCQoKsrKyo4uqF8vJyZWXloKCg\n9vZ2vIXFYtnY2CxatKiPR25vbw8ICKBSqVZWVhMnTlRTUzM2Nn7w4EFfIyZUcXGxnJxcZGQk\nr6W1tdXDw8Pd3Z3AqKTN3r17R40aRXQUvdDa2vrixQuio+iTLvs6fsnJyXV1dSKLpy9mz57t\n5eXV0dHBa6mtrdXR0YmIiCAwqh6qra1dsmQJhUJRVlZWUFCQk5MLCgricDhExwUGxNdff62o\nqEhgAMLu2JWVlZmamiIIIiMjgxc0aGho7N+/f9OmTSLKOkXI3Nz82bNnAo3Pnj2zsLAgJB7h\nBg0adObMmQMHDtjZ2fn7+8+fP9/CwkJZWTk8PLyPR/7zzz+PHTt28+bN7OzspKSkDx8+TJky\nZfr06RL9FfPq1at6enrLli3jtdBotODg4Lt371ZVVREYGBBnZK0n5jdu3DhJmdzxwYMHCxcu\n5B9Iq6ysPGPGjKSkpM++t66ujtgbe/Pnz09OTk5KSqqtrW1oaDh//nxkZCQp/5ICcSAssVNV\nVcVn7NTQ0EhPT8cb9fT0srOzRRGaaC1evDgtLW337t2855sPHjwICwtbvnw5sYF1Z9q0aXl5\nefPmzWOz2crKykeOHHn48GHfZ+Hav3//b7/95ubmhr9UVFTcv3+/hobG6dOn+xwyYcrKyjqP\nbh48eHBHR0dZWRkREQHxUl9f7+/vb2pqyvwvFRUVe3t7HR0dokMD/19LS0vncRUMBqOlpaW7\nt2AYdubMmSFDhqioqDAYDAcHh4SEhAEOswsvX768efPm5cuX8fFbFApl5syZhw8fjoiIwFfa\n6Ojo2LVrl6ysLO/R/7lz56h8UBS9ceOG6CMHEkpYYjd9+nRfX9/8/Hw3N7eff/45Li7uwYMH\nAQEBAutCkoOFhcXZs2f37t1rYWExa9assWPHuri4LFq0yN/fn+jQuqWpqbl58+YLFy4cOXJk\n/vz5+ATufdHU1FRUVPTVV1/xN8rIyIwbN06i57jR0dEpKCjA/r2EwPv37ykUCvzlBoiU1RPz\nKy8vFyjVFVvW1tYPHjwQaExKSrKxsenuLVu2bFm+fPm33377/Pnz5OTkiRMnfv3116dOnRrg\nSAWlpaUNHjzY0tKSv/Hrr79ua2vLzMxEEMTPz6+srExLS4u3dcGCBdz/ev/+vamp6YQJE0Qc\nNpBgWPc1dlVVVd98801RUVFpaSnvHyWDwbhy5Yponxf3MyF1J+Xl5fv27Vu1atXOnTslvbzm\nC3A4HBkZmbt37wq0e3t7r1y5kpCQ+kVxcbG8vPyhQ4d4LS0tLW5ubpMnTyYwKmkjzjV2UlVP\nzO/+/ftsNltk8fTF+fPn5eTkzpw5g79sbm5et26dgoLC+/fvu9y/uLiYSqUK/LUKCwvT0NBo\na2sb8HD5/PXXX4MHDxZobG5uRlH00aNHGIalpaVhGGZkZPTw4cPOb58+ffrp06dFECfoL4TX\n2Amb7kRVVTU2Nhb/OSsrKzU1tbW11c7OjsSr7gwaNGjVqlVER0EYKpU6fvz4EydOuLi48BpL\nSkru3Llz4sQJ4uLqK319/X379q1YseLatWsuLi51dXVnz55tbW3tSXUOkAbd1ROvXLnSw8OD\n6OgGEFErT3yBecnEq0kAACAASURBVPPmlZSU/PDDD5s2bTI0NMzOzlZQUIiLixs8eHCX+ycl\nJamrq0+bNo2/cdmyZevWrXv58uXo0aNFEjWCIMioUaMKCgqysrL4by5eu3ZNTk7Ozs4OQRAH\nB4fu3vv48eP8/PyFCxeKIlBAFsIe3kVFRfEmgZSRkRkzZoyTk1NTU9PBgwdFEhsgwK5du6Kj\no/38/FJTU4uKii5cuODk5OTg4DBz5kyiQ+uTpUuXvnr1SktL6/z5848ePfL19c3JyenuTwKQ\nNlJVT8xPggZPIAiydu3avLy8bdu2TZky5dChQ7m5uVOmTOlu58bGRiaTKbBqmZKSEpVKbWho\nGPhg/8fe3n7GjBne3t737t3r6OjgcDhRUVE//vhjQEDAZy/+9u3bN27cKObrWwJxI+yO3fz5\n8ysqKjQ0NPgbP378GBAQIM6VZ6Avxo4d++jRo59//tnR0RHDMDqdvmrVqi1btvS9gI9w1tbW\nf//9N9FRAHGE1xMnJyfj9cQYhmloaBw4cICU9cQSTV9ff/HixT3Zc8iQIfn5+eXl5ZqamrzG\n58+ft7e3i36ug9OnT69fv97Dw0NWVra9vV1WVnbDhg1BQUHC31VaWpqcnHz58mXRBAlIo+vE\njvc1yMfHh/9GPYZh2dnZUr6wAemNHDkyOTm5vr6ezWYbGhqSIKUDQLiwsLDq6moqlRoYGJiQ\nkDBr1iwEQRgMxtmzZ4kObWARtfKECEyYMMHCwmLx4sWnTp1SV1dHEKSwsPDHH3+cPn26np6e\niINhMBgHDx7csmVLRkYGjUYbNmxYTyqaLl++7ObmJi8vL4IIAZl0ndj5+fmlpKTEx8dzuVyB\nm8Bjx45dvXq1SGIDRFJSUpKgZzQA9IUU1hPjcnJybG1tSfldXUZGJi4ubvbs2WZmZqNHj+Zw\nOE+ePBk7duyxY8eICklHR6dXw/DT0tKELMUBQHe6TuwWLly4cOHCjIyMK1euqKioiDgmAAAQ\npaioqG+++YZGoyH/rSdGEKS0tPT8+fPkLjuRoMETX8Dc3DwtLe3SpUsvXryg0Wjr168XUpNH\nlMbGRvyGYmtrq6urK4qiFy9exMd8lJSU8AZ5vH///o8//sjKylJQUBg/fvyvv/7aeVY/AHDC\nauzu37/P+7msrCwzM1NHR0fIpEEAACCJpLaeeNy4cUSHMLCoVOqcOXPmzJlDdCDdUlRU7G6O\nZd50yufPn1+8ePHYsWMnT57c0NBw4sSJyMjIe/fumZubizBSIDG6Tuz27t2bnJx85coV/GVk\nZOTq1avxEbKzZ88+f/48lSosIwQAAIkA9cTSo6Wl5fXr15WVlVZWVmI7LObTp09Llix59OiR\nmpranj175s6dW1FR8cMPP4SEhKxbtw7fZ+vWrd7e3j/88ENiYiKx0QLx1EVd/N9//x0YGMir\nr/rw4cPKlStHjhyZkJCwZ8+ey5cvHzp0SLRBAgDAgPDz8xsyZAiCINx/a29vHzt2bFRUFNEB\nDiwJWnmij86ePWtiYjJy5MiZM2caGRnNmjWLxWIRHVQXFi1aZG9vX1lZef78+T/++IPD4dy4\ncUNJSSkgIIC3j7y8/M6dO5OSkmBFRNClLm68HTp0aMmSJbwKU3zO64sXL+rq6rq7u3/8+PHc\nuXMwfgIAQAJSXk9M4sET/C5cuLB48eKQkBB/f38Gg/Hy5cuVK1dOnjw5LS0NL6wUE8XFxU+f\nPr1y5YqsrOyYMWNSUlIQBGGxWCYmJgKzE5ibm2MYxmKxtLW1CQoWiK8u7thlZ2fzz3N9+/bt\nr776SldXF3/p7u5O+kk7AQBS5f79+7ysrqys7Pbt21lZWcSGJBrkHjzBExwcvH79evxJFIqi\nDg4O//zzT0lJSUxMDNGh/Ut6erqZmdmGDRvwm4u3b99GEERLS+vDhw/Yv5e6LigoQBAEsjrQ\npS4SOw6Hw2Qy8Z9bW1tTUlL4lx9WUVFpbm4WUXQAADCQ9u7dO2PGDN7LyMhIIyMjDw8PW1vb\nOXPmcLlcAmMTAclaeeLL1NfX5+Tk8P+WEQRRVVV1cnLCb4mJj5qamoyMjHHjxuXn5wcHB8+e\nPbuiosLLy4vNZh85coS3G5fL3bZt27hx43g3XADg10Vip6mpySs+uHfvXktLi5OTE29raWmp\nlpaWiKIDAIABA/XE0gC/19V5onUZGZmOjg4iIuqWqqqqjo7OnDlzUBT9+uuvzczMnjx5oqOj\nExERsXr1am9v7wMHDuzZs8fBweHhw4eRkZFExwvEVBeJ3bhx4w4cOIBXEO/atUtDQ8PZ2Zm3\nNTo6GmY8AQCQAF5PfObMGfwlr57Y3d19/fr1q1atOnfu3MCdvaKiIjc3t/PYhY8fPx49enTg\nzstPGgZPKCsrm5mZ3bx5k7+xvr7+wYMHI0eOJCqqLpmamtbW1vJ+Ix0dHfgEFEuXLk1LS1NU\nVDx8+HBcXJyHh0dubq61tTWhwQLx1UVit2bNmqSkJAMDA21t7YcPH27fvh0vwqipqVm+fHls\nbOyPP/4o8jgBAKCfEVVPzGazJ0+erKmpic+7cf78ef6teXl5y5YtG4jzdpaTk1NbWyuacxEo\nKCgoNDT08OHD+LP1d+/eeXt7q6qq+vj4EB3av1haWlpZWf35558YhiUkJBQUFOBzZSMIYmdn\nd/bs2czMzJSUlN9//x2f0xiALnWR2I0ZMyYxMdHd3d3Nze3cuXMrVqzA29va2k6ePBkaGipQ\nrAAAAJKIqHrizZs3P3v27Pfff4+Li5s8efKCBQtCQ0MH4kSfJSWDJ7777rvw8PCNGzcyGAwd\nHR1zc3MURePj48VwGdaLFy9evXpVVVU1ICDg4sWLpB+wDAZC1/MMOzo6Ojo6CjRqamqWlJQI\nTM4OAAASCq8ndnBwQERbT3zjxo3du3cvX74cQZCZM2dOnjx54cKF6urqvG/RIkP6lSd4VqxY\nMX/+/OfPn7PZbCsrKzs7O6Ij6pq+vv7Dhw+JjgJINsHELiEh4d69e59925w5c0aMGDEwIQEA\ngCjg9cT44hOirCfGcwveSx8fn7q6uhUrVujr6+OLhIKBwGQy3dzciI4CgAEnmNgVFBSkpaV9\n9m1fffUVJHZgIGAY9vz58+zsbA0NjdGjRw8aNIjoiABprVmzxsXFxcDAgMPhsNnsgwcP8uqJ\nAwMDY2NjL1++PBDnNTU1TUhImDhxIq9l2bJlHz588PHxiY2NVVBQGIiTdqm8vFxdXV1GRkZk\nZwQADDTBxG758uX4AwIARC8vL+/7779/8uSJvr5+dXU1hmHBwcFr1qwhOi5ATng98YEDB9ra\n2mbMmDF//ny8faDrif39/f39/UtLS/fu3cv76hISEkKhUKZNm8b/OPizSktLhawrhWGYwMS2\nAqRk5QkApAoVQRAqldrU1OTi4mL/X9bW1mK10AqQBo2NjZMnT7a2ti4qKtLX18cw7NSpUytW\nrFBSUhLZIEEgbQipJ16+fHlVVdUff/yxZcsW/nvSwcHBw4cP79U3GS8vr4yMDCE71NTUCNkq\nJYMnAJAqVARBXF1do6KiXr58mZ6eHhMTU1JSIisri5eX2tvbDxs2zN7eHp6IgYEWFRXV3Nx8\n8eJFOp2OIAiKoosWLSotLd29ezckdkDEBnSUGIqimzZt2rBhA4qiApu8vb09PT3fvn3bw0Ol\npKQIGbprYGDg4eEh5O3SM3gCAOlBRRBEVlZ2zpw5c+bMwZvYbParV6/S09PT09PPnDmzadMm\nDoejq6uL38zD8zwLC4vOXRIAffHq1asJEybgWR3PlClTgoKCamtrpXCBdkBunddCwMnJyfV8\n0Ia8vLyQOTuglwZACnUx3Ym6urqrq6urqyv+sq2tLTs7G8/zjh49WllZiSDInj171q9fL9JI\nAdnJyMhwOByBRrwFirsBuTU0NLi5uUVGRop4Gg4YPAEA+XT9lZEfjUaTl5d/9+7dpUuXqqqq\nXF1dT5w4sXLlShEEB6TKmDFjkpKS2Gw2f2NsbKydnR2DwSAqKgBEgMvlpqSk1NXVifi8UrLy\nBABS5fOJ3caNG62srK5du7Zy5coPHz7cuXNn0aJFioqKIggOSJVZs2aZmJh4eHgkJydzudyK\niopt27aFh4eHhIQQHRoA5ASDJwAgn65XnuBnZ2cnLy9/9epVQ0NDEQQEpJasrGx8fPyaNWsm\nTJhAoVDa29sNDAwuXLgwffp0okMDgJxg8AQA5PP5O3bz5s2ztbUlailDIFU0NTXPnDlTVlZ2\n7969zMzM9+/ff/PNN8+fP9+1a9cvv/xy+PDh6upqomMEoP8xGIzbt2/b2toSHYj4unXrlo+P\nz6hRo2bOnHnixAnh8/MBIM0+n9ihKHry5MnZs2eLIBoAEATR1NScOHGijY0NhUJZvnz5mDFj\nrl27VlhYuHv3bgsLi+vXrxMdIAD9jEqlurm5iX7od3l5eXt7u4hP+gV++OGH6dOnKygozJs3\nT19f/6effnJ3d29paSE6LgDE0ecfxSIIYmVlxb+yIQCisXfv3ri4uEePHo0ZMwZBEC6Xu23b\nNh8fn5ycHCgMAKDvJGLlicuXL58+fTo5OXnUqFF4y/r16x0dHcPDwzdu3EhsbAD0UFlZWUpK\nSmNjo5KS0rhx49TV1fm3Hj9+nDc5kYKCgo+PT1/O9fk7dgAQJTIyMigoCM/qEAShUqkhISGD\nBw8+deoUsYEBQA4SMXgiOjp6zpw5vKwOQRADA4OffvrpwoULBEYFQM9xOJzExMThw4cvWLDA\n0tLy3r17/LUEbW1tKIp+9199zOoQSOyA2GprayssLBw9ejR/I4qijo6OeXl5REUFAJmMGzdO\nSUmJ6Cg+4+PHj6ampgKNZmZmpaWlhMQDQG+xWCwGg4E/aDI3N0cQpKKigre1ra2tf79f9ehR\nLACiJysrKycn13m0RFVVlba2NiEhAQBET0tLq7CwUKCxoKBAR0eHiHAA+IzOdat1dXX8FbQq\nKiq1tbWampr4y7a2NgRB7ty5w2azGQzGiBEj+vg3Du7YSZ4XL17MmTNnyJAhw4cP9/f3//jx\nI9ERDQgURd3c3P766y/+W9YFBQXx8fHCl78EAPSQRAyemD179oULFzIyMngtZWVlERERvGUw\nARArbDYbz9V4uFwu//ouVCqVy+XyvzQxMRkxYsTcuXMtLS3v3LkjZAHonoDETsIcOXJk9OjR\nKIquW7fuu+++S0tLs7Kyev78OdFxDYhdu3bdu3fPy8srPj4+PT09MjJy/Pjx48ePnzFjBtGh\nAUAGErHyxKxZs2bNmuXo6Ojv73/w4MHAwMChQ4caGxuvXbuW6NCAtKupqXn9+nVCQsKTJ094\njZqamjQajX83KpXK/w2Kw+FQqf97XqqsrDxu3DhVVVUURU1NTZWVlT99+tSXqMTuUWxlZeW9\ne/dyc3Px7kZVVdXa2trNzU38C0FEoKys7Ndffz106NCyZcvwltWrV3/77bfLli17+fIlsbEN\nBFtb2+fPn69bt87b27ulpUVLS2v16tUBAQGwtDkA/UIiBk+gKHr69Olvvvnm+PHj9+/f19fX\n37lz57Jly2CJW0CUtra258+fl5SUNDY2Kisr6+vrm5mZCdlfRUWloKCA97KmpobJZPJeNjc3\nNzc38want7e3Uyh9uukmRokdl8sNCAg4ePAgl8uVk5PDlwetq6vjcDgKCgobN27cvHmzlP9F\nj4+PZzKZS5cu5bVQKJQtW7ZYWloWFBSYmJgQGNsAGTJkyJUrV9rb2+vr6/n/JwAA+k6CVp6Y\nOXPmzJkziY4CSK+mpiY6nY7/zOFwOByOnZ2dnp5eT+466enpPX78uLCw0MjIKDc3V1ZWdtCg\nQQiCFBYWamho1NfXJyYmenl5MZnM/Pz85ubmPtbYiVFiFxQUdPLkyT///NPb29vAwABv7Ojo\nyM/Pj46ODg0NpdFogYGBxAZJrPLycn19fYHs1sjICN9EysQOJyMjA1kdAGRVUlKSk5NTWVnZ\n1tZGp9O1tLSsra0FJvrqrYsXLxoYGPAmS8LV19fHxMS4ubnx/sT0VkFBwf379+fOnauoqHjh\nwgVjY2NHR8e+xAnEGZfLZbFYJSUlJSUlzc3NPj4+8vLyCIIoKio6OTn1/DgyMjIuLi5Pnz5N\nTk5mMpkuLi54+/Pnz0eOHGlsbDxs2LDbt2+3tbWpqKi4ubkJPMntLTFK7E6fPh0WFsZ7yIij\nUChmZmabNm2i0+kRERFSntjp6+vn5+dzuVz+x/O5ubn4JuLiAgBIpPLycnV1dWKfaaampmZl\nZenq6o4YMUJeXr6uri4vL+/69etOTk7Gxsb9ey78uTN//9kXI0eO/Ozdmvfv379//x7Ge0mi\nJ0+evH37FkVRHR0dOzs7fX19PKv7Mpqamp3XPeet6TV06NChQ4d+eaz/JkaJXWVlpYWFRXdb\nhw0bBrMWeXp6dnR0bN++PTg4GL9v19TUFBgY6OzsrKenR3R0AAAJQ/jKE0VFRVlZWba2tiNH\njuQ1WllZxcfHJycn6+rq9vHWhQA8peuvssLOs+t1VllZ2S/nAgMNw7DKykpFRUXe81YdHR0D\nAwMdHR2Jq+YUo8TOxMQkISFh4sSJXW69devWkCFDRBySuGEymSdOnFiwYEF8fLy7u3tzc3NM\nTAyFQrlz5w7RoQEAJA/hgyeysrIUFRUdHBz4G2VkZJycnDo6OvCsDsOw9PT0d+/eNTY20mg0\nPT29kSNH4n99hWzi19jYeP36dU1NTWdnZ3Nzc3yHioqKtLS0qqoqLperrKxsbW2NzxwroLW1\n9fHjxyUlJRQKxcjIiDf3GIIg/I9iuzzazZs3y8rKEAQ5fvy4s7OziYlJW1tbWlpaUVFRa2ur\ngoKCoaHhiBEj8F9BdHS0ubk5hUJ5+/Ztc3Mzk8kcM2YMXomFYVhmZuabN2+ampqUlJRsbGzw\nUDEMy8rKev/+fV1dnZycnImJiYODQ3/dj5QS7e3tLBbrw4cPxcXFLS0tjo6OvAVU+/2GsciI\n0b+AtWvXLl++vKCgwNvb28zMTFlZGcOwurq6t2/fxsTExMbGnjt3jugYiTd9+vTc3Nz//Oc/\nT58+VVRUXLly5apVqzp3ZAAA8FnEDp5ob2+vrKw0MzPrPAZQUVGR9/OzZ8/evHnj6Oioq6tb\nX1+fnJyckJAwY8YMFEWFbOK9va2tLSEhQUVFxcnJCUXR8ePHIwjS0dFx+/ZtXV1dT09PGRmZ\n4uLiR48e0en0zo8+Hj169OnTJ2dnZyaTWVJS8urVq84fpLujubq63r17F0VRZ2dnPElNTk7+\n9OmTk5MTg8Goq6t7+PAhhmFjx45FEERGRubNmzdDhgyZOXMmhmF37txJSkrCH9WlpaXl5uaO\nGTNGXV29pKTk0aNHsrKyxsbGL1++zMjIcHR0NDAwqKmpSU5ObmpqcnZ27pffjjQoKSlJTEzE\nMExXV9fBwcHAwEBBQYHooPqBGCV2y5Ytk5eXDwkJ6ZzA2draxsXFeXt7ExKYuNHX1//999+J\njgIAQDYFBQUNDQ28lyiKDhkyhPcwtO9bURQ1MzPjFSo1Nzd3dHQIL1PjcDh5eXnW1tb4ExsG\ngzF27NiEhISPHz8OGjSou026urr429vb2+/evUulUl1dXfnTx8bGxtbWVhMTE1VVVQRBrK2t\nNTU18akY+LW2thYXF9vb2+ODLaysrD59+sQ/b4Xwo9FoNBRFKRQK7yOPGjUKwzD8IyspKRkZ\nGfFKjFAUpdFow4cPx1+ampo+evSopaWFSqXm5ORYW1vjE2qoqqq2tLQ0NjZyudzXr18PGTIE\nv8OEr1jw8OFDBwcHZWVlIZdUmjU2NtbV1fHWLFFXV3d2dtbR0SHZbU7x+jB+fn5+fn4FBQV5\neXm1tbUoijKZTEtLS3yFNQAAAP1IYPBEcXFxTU0NbyuFQtHX1+clZ33fSqFQdHR0BCrQhU/Z\nVV1d3d7ezv8AFH86yWaz8Ulfu9yEJ3YYhj18+LCpqenrr78WeOKspKSkqqr6+PHjqqoqPT29\nQYMG4e8VUFNTg2EY/yYdHZ3OiV0Pj4YgiIyMTFZWVmlpaUtLS0dHh8CCBPzFjnJycgiCtLa2\nNjQ0cLlc/gOOGjUKQZDy8nIul8s/bA7PV9hsNiR2Aurq6oqKioqKiioqKphMJm/eHAUFhS8e\nHy3OxCuxw5mYmJB45g4AABATAoMnuitxHqCtCgoKFApF+NIXHA4H+fdwB/xnfCKx7jbhL9+/\nf8/lcmk0WkdHR+cje3p6ZmdnFxUVvXr1Sl5e3tLSctiwYQKTSeGH4r+d092tnZ4cDcOwmzdv\ncrlcR0dHNTU1CoWSnp7OnyZ2eXB8carOpZB4bImJiQJnaWpq6jJCqYVXOqqoqBgZGY0ZM0ZD\nQ4PoiAacOCZ2XWKz2RwOB1Z/BwCA/kLs4AkZGRktLa3CwsKRI0fiN6h4mpqa3rx5Y21tLZCr\n8X6m0WhCNuEvFRUVJ02ahBerTZkyRSABkpOTGz58+PDhw5uamt6+ffvy5UsqlWpra8u/D55p\n8S/rKbAGaK+OVllZWVtbO2nSJHzyUYHgu4Pf4GxtbRVoxz/mmDFjBP4s9mVKDnKoqamh0+m8\nfwbW1tZjx46VqplQJWat2MmTJ/Oei38WvppqdzAMq6ioGNBoAQBA/I0bN47Y1RptbGza2tqe\nPXuGYRivsb29/cGDBzk5OR0dHaqqqjIyMuXl5byt+DKaGhoaQjbhL3V0dJhMppOTU3l5eXp6\nOv95GxoaCgsL8Z/pdLq9vb2GhkZVVZVAeHg2wP/3ostZt3p4NHy1UF7i1draWlJSwv/Bu6Ss\nrEyj0fDRtbjHjx8/fvxYVVWVSqU2NTWp/BeDwaBQKAIpsvSora199erVpUuXLl26xPt1IAhi\naGgoVVkdIkF37Pz9/VksVg93PnHihJCdp02bBtNFAgAA4fT19e3s7DIyMmpra83MzOh0en19\nfW5ubnNzs5ubG56jWFpaZmdnq6io6Ojo1NbWpqSkaGpq4rephGziGTRo0PDhw1+8eKGjo6Ol\npYU3NjU1JSYm2tvbm5iYUKnU8vLyqqqqzjNqycvL6+np5eTkqKmpKSsrC9QR8gg5mpycXEVF\nBZvNVlBQwFOx3NxcZWXlpqamp0+fGhoavnv3rrq6WkVFpbtLRKVShw4dmpGRoaysrKmpyWKx\n8vLynJ2d8XZ8vhgdHZ22traMjIyysrJZs2b17+R/4q+iogIvcFRVVR08eLCxsbGQ6ykNJCax\nW7JkSc93Fj6JM5VKJdkQGAAA+ALisPLEiBEjtLW1c3JyXr58yeFw6HQ6PtE/71biqFGjaDTa\ny5cvk5OT5eTkDA0NebMZC9nEz9bWlsViJSUlzZgxA08WNTU1J02alJmZmZ2djQ9THTFiRJdT\npU6YMOHx48cPHjygUCj48RMTEwWK9oQczcrKqry8/MaNG6NGjbKysnJyckpNTY2JiVFRURk5\nciSTyfz06dP169e9vLyEXCK8XC8zM7OlpUVJSWn8+PF4GfqIESPk5OQyMzOfPHlCpVJ1dHQ8\nPT2lLatDEERGRsbY2NjJyUna7sx1B/3sfWARq6ysvHfvXm5uLl5Rq6qqam1t7ebm1o/PC5SU\nlM6fPz916tT+OiAA4LPCwsIuXrz47NkzogORIp/t65KSkohdeQKAXuFwOIWFhfn5+Ww2e/78\n+QJ1k2Ji6tSp9+/f55/9R8TE6MYVl8sNCAg4ePAgl8uVk5PDpxSqq6vjcDgKCgobN27cvHmz\neP4WAQBAEhG+8gQAPVRWVpabm/vhwwcqlWpsbOzg4AD5QHfEKLELCgo6efLkn3/+6e3tzZta\npqOjIz8/Pzo6OjQ0lEajBQYGEhskAACQBrErTwDQc1lZWTIyMs7Ozvr6+sLnPgRilNidPn06\nLCxs2bJl/I0UCsXMzGzTpk10Oj0iIgISOwAAAIDcmpqa3r9/r6KiwluewM3NjdiQJIgYJXaV\nlZUWFhbdbR02bFiX48wBAAB8GXEYPAEAT3t7+4cPH969e1daWspgMPA1NkBviVFiZ2JikpCQ\n0N305bdu3epyyNKXeffuXVpaWmpqaufFASVIRUVFdwvXSASIn1jV1dWifBIHX8wIgfd13W2t\nra1ls9mdJ78VpcrKSnV1dWLrpdhstpqaGrExVFVVMZlMYh8y4hOvEBUDhmHt7e0dHR0UCkVG\nRqalpeXhw4cPHz4UfSTV1dXDhg2j0+lf9nbhi6mIAiY2IiMjURRdsGBBdHT0ixcv3r179/bt\n27S0tKioqNmzZ6Moev78+X45kbGxMcEXHQCp5Onp2S//hUEPfbav8/LykugvJ4BMaDTayJEj\nybFyxqBBgwj8jy9GiR2GYadOnTI3N+98jWxtbS9dutS/56qvr0cQJDU1tX8PKzIQP7EgfkAC\ncnJyt27dIjYGJSWlq1evEhuDurp6TEwMsTHo6OicO3eO2BiMjIxOnDhBbAzm5uaRkZHExmBt\nbb1//35iY+gLMXoUiyCIn5+fn59fQUFBXl5ebW0tiqJMJtPS0pJXPgkAAAAAALojXokdzsTE\nBJ9WGwAAAAAA9BxMBgMAAAAAQBKQ2AEAAAAAkAQkdgAAAAAAJAGJHQAAAAAASUBiBwAAAABA\nEpDYAQAAAACQhPQmdjQaTU9PT01NjehAvhDETyyIH5CAoaEh4StPGBgYaGpqQgwGBgZaWlrE\nxqCvry8OMWhraxMbg56eHuEx9AWKYRjRMQAAAAAAgH4gvXfsAAAAAABIBhI7AAAAAACSgMQO\nAAAAAIAkILEDAAAAACAJSOwAAAAAAEgCEjsAAAAAAJKAxA4AAAAAgCQgsQMAAAAAIAlI7AAA\nAAAASAISOwAAAAAAkoDEDgAAAACAJCCxAwAAAAAgCSlN7P7++28rKys5OTl9ff1NmzZxuVyi\nI+q1/fv3Kygo+Pr6Eh1Ir2EY9tdffw0fPpzBYJiYmKxataqqqorooHqBw+Hs2LHD0tJSXl5e\nS0vL39+f+NzKHAAADwVJREFUzWYTHdQX8vT0RFH03bt3RAcC+lnPuzghe5Kgn+zVR+iuU5We\n6yC8c5ae6yC8k5eA64BJn7NnzyIIsmnTpvv37x86dEhZWfmXX34hOqheqKiomDp1qp6enoaG\nxsKFC4kOp9d27dqFoujGjRvx66+iojJlyhSig+qFxYsXMxiMiIiIBw8eREZGqqmpOTk5ER3U\nlzh58qSsrCyCIG/fviU6FtCfet7FCdlT0vtJrDcfQUinKlXXQUjnLFXXQUgnLxHXQRoTuyFD\nhsybN4/3MiIigkqlVlZWEhhSrxw6dMjd3b28vNza2lriErv29nZ1dfXvvvuO1xIWFoYgSHl5\nOYFR9Vx9fb26uvrvv//OawkPD0cQpLS0lMCovkBZWZmamtrKlSshsSOfnndxQvaU9H4S681H\nENKpSs91EN45S891EN7JS8R1kLrELj8/H0GQCxcu8Fo+fPgg0CLmiouL29vbMQyTxMSuo6Pj\n3bt3/GlcXFwcgiA5OTkERtUXERERCIJ8/PiR6EB6Z9asWR4eHg8fPoTEjmR63sUJ2ZME/WSv\nPkJ3napUXQchnbNUXYfOeJ28pFwH6oA94xVTeXl5CIKYm5vzWgwMDOTk5HJzc4kLqnf09fWJ\nDuHLoShqamrK33Ljxg0dHR3+34hEaG1tbWhoePTo0Y4dO5YuXaqtrU10RL0QGxt769atrKys\nkpISomMB/aznXZyQPZWVlXt4ELHVq66+u06VBH8vev4RhHTOt2/f7uFBxNYX/Co7d/K3bt3q\n7UEIIXWDJ+rq6hAEwbstHgaDUVtbS1BEUi0mJubvv//eu3evjIwM0bH0zvLlyzU0NGbPnr1k\nyZLIyEiiw+mF6urqlStXhoaGGhsbEx0L6H897+KE7EmCfrJfPoI0Xwf+zlk6r0PnTl5SroPU\nJXZdwjCM6BCk0fHjx+fPnx8cHCyJY3uDgoLu3Lmza9euI0eOzJo1S4L+Cf3yyy9GRkY//fQT\n0YEA0en5v08he0rQP/Lu9MtHkIbr0JPOmfTXoYedvBheB6l7FMtkMhEE4c+vOzo66uvrVVVV\niQtKGgUHB4eEhISHh69evZroWL6Eubm5ubm5q6vr6NGjnZycrl+/Pm3aNKKD+rz4+Pjo6Ojn\nz59TKPCljpx63sUJ2ZME/WS/fATpvA6dO2fpvA6dO3lJuQ5S17lbWloiCPL27VteS35+PofD\nGTp0KHFBSZ3g4OA9e/bExMRIXFb38ePHM2fOVFZW8lqGDx+OIMjr16+JC6oXoqKiWltb7e3t\nqVQqlUp1dnZGEMTS0tLV1ZXo0ED/6HkXJ2RPEvST/fIRpPA6dNk5S9V1ENLJS8p1kLrEztDQ\n0MbGJiYmhtcSHR2toKDg5uZGYFRS5fLlyyEhIRcvXvT29iY6ll5js9l+fn5nzpzhtaSmpiII\nYmhoSFxQvRAaGpqRkfHqv44fP44gyLVr144ePUp0aKB/9LyLE7InCfrJfvkI0nYduuucpeo6\nCOnkJeY6EDMYl1CXLl1CUTQwMPD+/fv/+c9/FBQUtm3bRnRQvfDq1avExMTExERjY2M3Nzf8\n55KSEqLj6pGWlhYTE5NJkyYl/huLxSI6tJ7y9vZWVFQMCwtLSko6efKkoaGhhYVFc3Mz0XF9\nCZjuhJSEdHHHjh0bMWIEb9otIXtKej+J9eY6COlUpec6CO+cpec6YEI7eYm4DtKY2GEYdvbs\nWSsrK1lZWUNDwx07dnR0dBAdUS90+dRs3759RMfVI5mZmV1+wfjrr7+IDq2nmpubt2zZYmho\niP/7WbRoUXFxMdFBfSFI7Miquy4uJCQE+fe0i0I6Q4nuJ3E9vA7CO1UpuQ6f7Zyl5Dpgn+vk\nxf86oJj4DegAAAAAAABfQOpq7AAAAAAAyAoSOwAAAAAAkoDEDgAAAACAJCCxAwAAAAAgCUjs\nAAAAAABIAhI7AAAAAACSgMQOAAAAAIAkILEDAAAAACAJSOwAAAAAAEgCEjsAAAAAAJKAxA4A\nAAAAgCQgsQMAAAAAIAlI7AAAAAAASAISOwAAAAAAkoDEDgAAAACAJCCxAwAAAAAgCUjsAAAA\nAABIAhI7AAAAAACSgMQOAAAAAIAkILEDAAAAACAJSOwAAAAAAEgCEjsAAAAAAJKAxA4AAAAA\ngCQgsQMAAAAAIAlI7AAAAAAASAISOwAAAAAAkoDEDgAAAACAJCCxAz3i6+uLdmX37t0Igujr\n6//yyy/9e8aoqCgURUtKSvrlaMbGxqtWreqXQwEAgK+vr7a2NtFRANAFKtEBAImhqqp67tw5\ngUYLCwsEQXbv3j148GC85cyZM2fOnLl161aXLwEAAAAwcCCxAz1Fo9GmTJnS5SZfX1/ez6mp\nqfybBF4CAAAAYODAo1jQD3iPYp2dnSMiIuLj41EUjYqKEniJIEhHR8eePXtsbW3pdLqenl5A\nQEBTUxN+kKqqqjlz5jAYDFVV1SVLltTX13d5rgkTJnz11Vf8LaGhoTQajc1m19bWrlixQltb\nW1ZW1tDQ8KeffmpoaOh8BA0NjbVr1/JenjhxAkXRyspK4eE9e/bMzc1NXV2dTqfb2dn9/fff\n/XDhAACk0103IqTvEtLzGBoabt26dcmSJXQ6/eHDhwiCCOnoKisr586dq6SkpKamtnLlysuX\nL6MoWlBQICQqQEIYAD2wcOFCLS2t7rbq6en9/PPPGIbV1NRMnDjRxcWloqKitbVV4CWGYUFB\nQRQKZd++fYWFhTdu3NDV1fXx8cEP4u3traamdu3atfz8/H379unr6yMIUlxcLHCugwcPoijK\n325raztjxgwMw2bNmqWtrX3nzp38/Pz4+HhtbW1/f398HyMjo5UrV+I/q6urBwQE8N5+/Phx\nBEEqKiqEhNfa2qqmpubj45Oenv727dvw8HAURW/dutXXywoAkExCusTuuhEhfZeQjtHU1NTW\n1nbp0qWPHz+uqanBhHZ006ZNYzKZsbGxOTk5P//885AhQ3i9qJBTAJKBxA70yMKFCzU1Nes7\n4XK5GF9ih2GYq6vr5MmTeW/kf9nY2Ein05cvX87bevLkSQRB3rx5U1lZSaFQtmzZwts0b968\nLhO7yspKWVnZ//znP/jLnJwcBEFiYmIwDCssLHz//j1vT39//8GDB+M/9ySxExJefn4+giCx\nsbG8TU+fPi0rK+vdRQQAkEV3iZ3wXq7LvkvIWzAMs7CwMDAw6Ojo4G3trqOrrKxEUXTr1q28\nTWPHjsV7UeGnACQDj2JBT5WXlyt1cvv27Z4fIT09vampycvLi9cyadIkBEFevHiRk5PT0dGB\nd0M4Z2fnLg+irq7u7u4eExODv7xw4QKTyZw6dSqCIHJycgcPHrS3t9fW1tbQ0Dh+/Dibze6X\n8IyNjW1tbX/88cfffvvt8ePH7e3tjo6OWlpaPT84AEAaCOlGuuu7hLwFf+no6IiiKG9rdx1d\nQUEBhmFjxozh7Yl3jMKj6ufPD8QADJ4APaWmpnblyhWBRhsbm54foba2FkGQ2bNnUyj/+kbx\n8eNHZWVlBEEUFRV5jQwGo7vjLFy40NfXl8Vi6erqRkdHz507V05Orr29fdKkSQ0NDREREXZ2\ndnJycqGhoXhhX9/DQ1H0/v37//d//xcXFxcSEqKhoeHv7//bb7/JyMj0/PgAANIT0o0g3fRd\nwt+CIIiKigqvUUhHh6d3qqqqvJ3xgpbPRgVIBhI70FOysrLjx4/vyxHwHmf//v0TJ07kbx80\naNDr168RBGlsbOQ11tTUdHecGTNm0On02NhYFxeX7OzsI0eOIAiSmpqam5sbExMzc+ZMfLe6\nurou387/3RdBEF4FsZDwEARRU1MLDg4ODg5msVjHjx/funUrg8FYt25dDz87AEAaCO9Guuy7\nhL9FgJCOTk5ODkGQ5uZm3s68XrRXpwCSDhI70P8wDOvyJT4gi8ViWVpa4i2tra2lpaXq6uqW\nlpYoiqakpHh6euKb4uPjuzu+oqLi9OnTr1+/XlFRYWJigg80a21tRfj6qaqqqn/++UcgEhyT\nyeTPGnkPI4SEV1hYmJqaOmfOHARBdHV1g4KCrl69+vLly95eGQAAuQnpRpBu+i7hbxEgpKMz\nNzdHECQ1NZVXxxIbG9uTqADJQGIH+pmqqmpKSkpaWpq2traenp7Ay19++eX333/X09NzcXGp\nqanZtWtXUlLS27dvNTU1PTw89u3bZ2dnN2TIkKtXr2ZlZQk5y4IFC+bMmVNcXIwviYEgiK2t\nraKi4oEDB0xNTVks1qpVq7y9vU+dOpWVlYUPDeMZPXr0rVu3iouL9fT0rl27dvfuXbydTqd3\nF97Hjx99fHwyMjJ8fHzodHpycnJGRsayZcsG7jICAMRcW1ubwNTr2traw4YN664bYTKZSFd9\nl5CeB38LP+Ed3bhx48LDw4cPH25iYhIZGckrMu7VKYDEI3LkBpAcPZzuBMOwpKQkHR0dOTm5\n/fv3d37Z0dERFhZmbm4uKyuroqIyc+bM7Oxs/I0fP36cPn06nU5XUVH59ttvL168iCBIfn5+\nl2dsa2vDv2vm5eXxGi9dumRubi4vL29vb4+nbqampoqKii9evOAfFVtcXOzh4aGkpKSpqfnd\nd9/h5SksFkt4eBcvXhw1ahSDwaDT6TY2NuHh4X28pAAAybVw4cLOf09nzZqFCe1GsG76LiFv\nsbCw+P777/lPLaSjKywsdHNzk5eX19LS2rBhAz70FZ/LSXhUgExQrKtnVQAAAACQLM3Nzc3N\nzWpqavjLrVu3hoeHd1dtDMgKHsUCAAAAZDBr1qysrKyjR4+ampq+ePFi3759S5cuJTooIGpw\nxw4AAAAgg6qqqrVr1966dau6utrAwGDevHmbNm2Sl5cnOi4gUpDYAQAAAACQBKw8AQAAAABA\nEpDYAQAAAACQBCR2AAAAAAAkAYkdAAAAAABJQGIHAAAAAEASkNgBAAAAAJAEJHYAAAAAACQB\niR0AAAAAAElAYgcAAAAAQBKQ2AEAAAAAkAQkdgAAAAAAJAGJHQAAAAAASUBiBwAAAABAEpDY\nAQAAAACQBCR2AAAAAAAkAYkdAAAAAABJQGIHAAAAAEASkNgBAAAAAJAEJHYAAAAAACQBiR0A\nAAAAAElAYgcAAAAAQBKQ2AEAAAAAkMT/A3Ucy/Vh20z6AAAAAElFTkSuQmCC" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1**\n", - "\n", - "The plot of Y_org does not have the residuals centered at 0. Also, the Y_log plot does neither centre at 0, but performs better than Y_org." - ], - "metadata": { - "id": "6nEG7IN658fI" - } - }, - { - "cell_type": "code", - "source": [ - "par(mfrow=c (2, 1))\n", - "plot(mdl1_fitted, abs(mdl1_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl1_residuals)~mdl1_fitted),col = \"blue\", lwd = 3)\n", - "\n", - "plot(mdl2_fitted, abs(mdl2_residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm(abs(mdl2_residuals)~mdl2_fitted),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "3mvQ5Sv_G6Bi", - "outputId": "ee6508f2-d3d7-4814-b13f-6f6703bbf79d" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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9QBAAAAAI/okRZPAAAAAIDtMD9iFxUV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\nz0WLFk2dOrX2T7R06dLp06frGnMyhVgsnjZt2rRp07RabUZGhqn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zH+y/JVJQUf+VqbL4c19qn/ra4fIq3Z09huIUnpUS13Am7F/iVs/W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\nkH3K2OsXRakaIrSENHmTvbRS1+4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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl1_residuals)~mdl1_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "KVAfsDb-5TCv", - "outputId": "1230c42b-0d28-42dd-e960-98f564dd7d9b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl1_residuals) ~ mdl1_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-24.944 -7.411 -2.467 3.409 68.590 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 9.3303 2.8789 3.241 0.00224 **\n", - "mdl1_fitted 0.2645 0.0968 2.732 0.00895 **\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 15.02 on 45 degrees of freedom\n", - "Multiple R-squared: 0.1423,\tAdjusted R-squared: 0.1232 \n", - "F-statistic: 7.466 on 1 and 45 DF, p-value: 0.008952\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(lm(abs(mdl2_residuals)~mdl2_fitted))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "id": "gLTt4w6W5ZDZ", - "outputId": "b2b6939f-cbbb-4bbc-a834-2d9ac96e26a2" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = abs(mdl2_residuals) ~ mdl2_fitted)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.7875 -0.5635 -0.1763 0.5921 1.5537 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.788325 0.202794 3.887 0.000331 ***\n", - "mdl2_fitted 0.003324 0.090409 0.037 0.970830 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.6626 on 45 degrees of freedom\n", - "Multiple R-squared: 3.005e-05,\tAdjusted R-squared: -0.02219 \n", - "F-statistic: 0.001352 on 1 and 45 DF, p-value: 0.9708\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2**\n", - "\n", - "We test the constant variance assumption. Since the variation in Y_org increases with increase in fitted values, Y_org does not obey constant varation. Y_log on the other hand shows a constant variance overall.\n", - "\n", - "This can been seen from β1 values. β1_org is significant while β1_log is not a significant coefficient." - ], - "metadata": { - "id": "IOdFGv6K6yTo" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "jbKkvsq28pOV" - } - }, - { - "cell_type": "code", - "source": [ - "shapiro.test(mdl2_residuals)" - ], - "metadata": { - "id": "4kkU-JXs8jtS", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "outputId": "e681ee73-e538-4c42-b5a8-278950059ab3" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "\tShapiro-Wilk normality test\n", - "\n", - "data: mdl2_residuals\n", - "W = 0.97609, p-value = 0.4418\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1**\n", - "\n", - "The qq plot shows heavy tails on the left. The Shapiro-Wilk test confirms that the residuals follow normal distribution, since p value = 0.44" - ], - "metadata": { - "id": "WXDmMG4hPJZk" - } - }, - { - "cell_type": "markdown", - "source": [ - "We can check the number of observations that result in residuals being statistically significant at α = 0.5 using Bonferroni's correction" - ], - "metadata": { - "id": "jwArgTQWPsuO" - } - }, - { - "cell_type": "code", - "source": [ - "ext_stud_res = rstudent(mdl2)\n", - "dof = mdl2$df.residual - 1\n", - "alpha = 0.5/47\n", - "sum(2*pt(abs(ext_stud_res),dof,lower.tail = F) < alpha)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "HFvzFdu2P4T6", - "outputId": "ba561d34-7802-40a7-b9b7-c32af9e7c4b1" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "0" - ], - "text/markdown": "0", - "text/latex": "0", - "text/plain": [ - "[1] 0" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2**\n", - "\n", - "No observation resulted in a p-value smaller than α, so not observation is considered as an outlier." - ], - "metadata": { - "id": "BFMM1FTzS0r4" - } - }, - { - "cell_type": "code", - "source": [ - "cook = cooks.distance(mdl2)\n", - "halfnorm(cook, nlab = 3, ylab = \"Cook's Distance\", main = \"Half-normal Plot\" )\n", - "mdl2_wo_inf = lm (log(gamble+1) ~ sex + status + income + verbal, data= teengamb, subset = cook < sort(cook)[length(cook)-1])" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "aT3jMWiQPYMb", - "outputId": "43c41f73-bd6b-4351-d40e-180379e8a92e" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Plot with title “Half-normal Plot”" - ], - "image/png": 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VwK6RlW8O5iL7E3iSZSICRPsyTC/h/Kxk/xHcRTuRRSYr28/NXLMU2JJlIgJE9z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\nduN5WN+CkFyUMe+xpxZfHGL/00i6NmC/srD1aMJvJODA6JBs+1Y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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "aAh8bKABa78_", - "outputId": "f27ea1b1-b251-4d30-83a8-dc0e9386415b" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.35012 -0.56865 0.00413 0.71512 1.90319 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.71620 0.82240 2.087 0.0430 * \n", - "sex -0.87120 0.39268 -2.219 0.0320 * \n", - "status 0.02983 0.01344 2.219 0.0320 * \n", - "income 0.21565 0.04904 4.398 7.33e-05 ***\n", - "verbal -0.26165 0.10388 -2.519 0.0157 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.085 on 42 degrees of freedom\n", - "Multiple R-squared: 0.5206,\tAdjusted R-squared: 0.475 \n", - "F-statistic: 11.4 on 4 and 42 DF, p-value: 2.347e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl2_wo_inf)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "NPJN4AVja4l4", - "outputId": "02caee23-a213-4ccd-d9cd-01bd209467c7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(gamble + 1) ~ sex + status + income + verbal, \n", - " data = teengamb, subset = cook < sort(cook)[length(cook) - \n", - " 1])\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-2.38434 -0.43732 -0.02604 0.56840 1.87416 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1.82587 0.81007 2.254 0.02975 * \n", - "sex -0.86785 0.41992 -2.067 0.04528 * \n", - "status 0.03097 0.01427 2.170 0.03604 * \n", - "income 0.21987 0.04688 4.690 3.16e-05 ***\n", - "verbal -0.28947 0.10171 -2.846 0.00695 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.033 on 40 degrees of freedom\n", - "Multiple R-squared: 0.5669,\tAdjusted R-squared: 0.5236 \n", - "F-statistic: 13.09 on 4 and 40 DF, p-value: 6.662e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "influence = lm.influence(mdl2)\n", - "head(influence$coefficients, 10)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 380 - }, - "id": "JUhuuFsNawhG", - "outputId": "c826d15c-baf9-4eb1-b008-cad8546ebd40" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 10 × 5 of type dbl
(Intercept)sexstatusincomeverbal
1 6.010227e-02-0.0539095631-7.848712e-04 1.226157e-03-3.722154e-03
2-2.676408e-03-0.0022517808 3.413461e-04 6.934369e-04-2.715587e-03
3-3.946406e-02-0.0428480094-1.091537e-04 3.476859e-03 4.081103e-03
4-1.514385e-03-0.0019501571-2.801948e-05-1.414729e-04 5.387988e-04
5-3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03-8.590313e-03
6 1.970410e-01-0.2423320854-8.539813e-03-7.291260e-03 4.153252e-02
7 1.373593e-03-0.0055338543 1.821983e-04-1.986499e-04-1.445359e-03
8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03-2.628483e-03
9 7.864888e-05 0.0002859671 4.651445e-06-1.285038e-05-3.761376e-05
10-2.327921e-02-0.0124400134 2.238774e-03-4.010397e-04-1.336105e-02
\n" - ], - "text/markdown": "\nA matrix: 10 × 5 of type dbl\n\n| | (Intercept) | sex | status | income | verbal |\n|---|---|---|---|---|---|\n| 1 | 6.010227e-02 | -0.0539095631 | -7.848712e-04 | 1.226157e-03 | -3.722154e-03 |\n| 2 | -2.676408e-03 | -0.0022517808 | 3.413461e-04 | 6.934369e-04 | -2.715587e-03 |\n| 3 | -3.946406e-02 | -0.0428480094 | -1.091537e-04 | 3.476859e-03 | 4.081103e-03 |\n| 4 | -1.514385e-03 | -0.0019501571 | -2.801948e-05 | -1.414729e-04 | 5.387988e-04 |\n| 5 | -3.173773e-01 | 0.2321092061 | 7.013178e-03 | 2.268919e-03 | -8.590313e-03 |\n| 6 | 1.970410e-01 | -0.2423320854 | -8.539813e-03 | -7.291260e-03 | 4.153252e-02 |\n| 7 | 1.373593e-03 | -0.0055338543 | 1.821983e-04 | -1.986499e-04 | -1.445359e-03 |\n| 8 | 1.192742e-02 | 0.0171493035 | 1.494686e-05 | 1.050096e-03 | -2.628483e-03 |\n| 9 | 7.864888e-05 | 0.0002859671 | 4.651445e-06 | -1.285038e-05 | -3.761376e-05 |\n| 10 | -2.327921e-02 | -0.0124400134 | 2.238774e-03 | -4.010397e-04 | -1.336105e-02 |\n\n", - "text/latex": "A matrix: 10 × 5 of type dbl\n\\begin{tabular}{r|lllll}\n & (Intercept) & sex & status & income & verbal\\\\\n\\hline\n\t1 & 6.010227e-02 & -0.0539095631 & -7.848712e-04 & 1.226157e-03 & -3.722154e-03\\\\\n\t2 & -2.676408e-03 & -0.0022517808 & 3.413461e-04 & 6.934369e-04 & -2.715587e-03\\\\\n\t3 & -3.946406e-02 & -0.0428480094 & -1.091537e-04 & 3.476859e-03 & 4.081103e-03\\\\\n\t4 & -1.514385e-03 & -0.0019501571 & -2.801948e-05 & -1.414729e-04 & 5.387988e-04\\\\\n\t5 & -3.173773e-01 & 0.2321092061 & 7.013178e-03 & 2.268919e-03 & -8.590313e-03\\\\\n\t6 & 1.970410e-01 & -0.2423320854 & -8.539813e-03 & -7.291260e-03 & 4.153252e-02\\\\\n\t7 & 1.373593e-03 & -0.0055338543 & 1.821983e-04 & -1.986499e-04 & -1.445359e-03\\\\\n\t8 & 1.192742e-02 & 0.0171493035 & 1.494686e-05 & 1.050096e-03 & -2.628483e-03\\\\\n\t9 & 7.864888e-05 & 0.0002859671 & 4.651445e-06 & -1.285038e-05 & -3.761376e-05\\\\\n\t10 & -2.327921e-02 & -0.0124400134 & 2.238774e-03 & -4.010397e-04 & -1.336105e-02\\\\\n\\end{tabular}\n", - "text/plain": [ - " (Intercept) sex status income verbal \n", - "1 6.010227e-02 -0.0539095631 -7.848712e-04 1.226157e-03 -3.722154e-03\n", - "2 -2.676408e-03 -0.0022517808 3.413461e-04 6.934369e-04 -2.715587e-03\n", - "3 -3.946406e-02 -0.0428480094 -1.091537e-04 3.476859e-03 4.081103e-03\n", - "4 -1.514385e-03 -0.0019501571 -2.801948e-05 -1.414729e-04 5.387988e-04\n", - "5 -3.173773e-01 0.2321092061 7.013178e-03 2.268919e-03 -8.590313e-03\n", - "6 1.970410e-01 -0.2423320854 -8.539813e-03 -7.291260e-03 4.153252e-02\n", - "7 1.373593e-03 -0.0055338543 1.821983e-04 -1.986499e-04 -1.445359e-03\n", - "8 1.192742e-02 0.0171493035 1.494686e-05 1.050096e-03 -2.628483e-03\n", - "9 7.864888e-05 0.0002859671 4.651445e-06 -1.285038e-05 -3.761376e-05\n", - "10 -2.327921e-02 -0.0124400134 2.238774e-03 -4.010397e-04 -1.336105e-02" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.3**\n", - "\n", - "From the plot, it is seen that observations 5 and 6 are influential for the model. The effect of these observations can be seen when comparing the model containing these observations with the model that does not.\n", - "\n", - "The model without influencers has an improved R^2 value.\n", - "We can see the difference in estimates of predictors when individual points 5 & 6 are removed from the table.\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "metadata": { - "id": "-4vrIqhZUSyJ" - } - }, - { - "cell_type": "code", - "source": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "metadata": { - "id": "MdS1hNAHcvsM" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "Yg3pK6S8etBp" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "BWTfCBrfes57" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "oJ6EzO11eszK" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "UBmPWt4XessI" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "g9JuiEHHesch" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_6_001.ipynb b/STATS_500_Hw_6_001.ipynb deleted file mode 100644 index 97bc634e..00000000 --- a/STATS_500_Hw_6_001.ipynb +++ /dev/null @@ -1,682 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyMr9tsdNfsxyOltK6XwrhdR", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 6\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "1255246e-52e9-4a76-e525-efc59a55de60" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "Warning message in install.packages(\"faraway\"):\n", - "“installation of package ‘faraway’ had non-zero exit status”\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(sat)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#plot(sat)" - ], - "metadata": { - "id": "h5ZcVDWOO5yv" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Ordinary Least Square Method\n", - "mdl1 <- lm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "JJ-ES-ExPAV8", - "outputId": "7406235b-e5b7-475c-d078-2d8d69954e86" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-90.531 -20.855 -1.746 15.979 66.571 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1045.9715 52.8698 19.784 < 2e-16 ***\n", - "takers -2.9045 0.2313 -12.559 2.61e-16 ***\n", - "ratio -3.6242 3.2154 -1.127 0.266 \n", - "salary 1.6379 2.3872 0.686 0.496 \n", - "expend 4.4626 10.5465 0.423 0.674 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 32.7 on 45 degrees of freedom\n", - "Multiple R-squared: 0.8246,\tAdjusted R-squared: 0.809 \n", - "F-statistic: 52.88 on 4 and 45 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.a)**\n", - "Here β0 and β1 are significant." - ], - "metadata": { - "id": "slYoKHbWSzX7" - } - }, - { - "cell_type": "code", - "source": [ - "library(MASS)" - ], - "metadata": { - "id": "SwB1ws9vPcq1" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Least Absolute Deviations Method\n", - "mdl3 <- rq(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 225 - }, - "id": "PtltbFfPQFI4", - "outputId": "08d39014-2c3b-422c-9715-1c5d7e4095a9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call: rq(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "\n", - "tau: [1] 0.5\n", - "\n", - "Coefficients:\n", - " coefficients lower bd upper bd \n", - "(Intercept) 1090.89886 920.17149 1151.85075\n", - "takers -3.13961 -3.38485 -2.66479\n", - "ratio -7.26632 -10.73796 1.62341\n", - "salary 3.18313 -0.15788 5.41909\n", - "expend -0.79753 -8.88001 20.92522" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.b)**\n", - "For the Least Absolute Deviation model the coeffiecients for \"ratio\", \"salary\" and \"expend\" have 0 in their confidence interval. It states that the significance of these coefficients is low and hence β0 and β1 are significant. " - ], - "metadata": { - "id": "2QBlRMFfudZp" - } - }, - { - "cell_type": "code", - "source": [ - "install.packages(\"quantreg\")\n", - "library(quantreg)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "emYnpmxQPy8l", - "outputId": "9b9bb7fd-9436-49e0-941a-7d614d45aff8" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n" - ] - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Huber's Method\n", - "mdl2 <- rlm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 277 - }, - "id": "1tnmajILPfYJ", - "outputId": "519298db-2f59-42d6-b042-a36a1f8e0c8c" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call: rlm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-92.510 -17.701 -1.002 15.015 77.058 \n", - "\n", - "Coefficients:\n", - " Value Std. Error t value \n", - "(Intercept) 1060.2074 49.8845 21.2533\n", - "takers -2.9778 0.2182 -13.6470\n", - "ratio -5.1254 3.0339 -1.6894\n", - "salary 2.0933 2.2525 0.9293\n", - "expend 3.9158 9.9510 0.3935\n", - "\n", - "Residual standard error: 25.58 on 45 degrees of freedom" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "2 * pt(-(abs(21.2533)), 45)\n", - "2 * pt(-(abs(-13.6470)), 45)\n", - "2 * pt(-(abs(-1.6894)), 45)\n", - "2 * pt(-(abs(0.9293)), 45)\n", - "2 * pt(-(abs(0.3935)), 45)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "id": "8vOdb9WYrLuC", - "outputId": "b926eb74-daef-4906-fef7-39f512989977" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "4.24361389959165e-25" - ], - "text/markdown": "4.24361389959165e-25", - "text/latex": "4.24361389959165e-25", - "text/plain": [ - "[1] 4.243614e-25" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "1.32907452144191e-17" - ], - "text/markdown": "1.32907452144191e-17", - "text/latex": "1.32907452144191e-17", - "text/plain": [ - "[1] 1.329075e-17" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.098060880287284" - ], - "text/markdown": "0.098060880287284", - "text/latex": "0.098060880287284", - "text/plain": [ - "[1] 0.09806088" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.357692034447825" - ], - "text/markdown": "0.357692034447825", - "text/latex": "0.357692034447825", - "text/plain": [ - "[1] 0.357692" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.695808503448403" - ], - "text/markdown": "0.695808503448403", - "text/latex": "0.695808503448403", - "text/plain": [ - "[1] 0.6958085" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.c)** The p-values for β0 and β1 are < α (5%). Therefore they are significant." - ], - "metadata": { - "id": "ove6dAXzskVW" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "dX9TyTecm_S4" - } - }, - { - "cell_type": "code", - "source": [ - "data(cheddar)" - ], - "metadata": { - "id": "eJQ3vxy-nDi6" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl5 <- lm(taste ~ . , data = cheddar)\n", - "summary(mdl5)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "NbFUVOVsnJ9W", - "outputId": "2e1207d3-a207-4c27-899a-44ca8a66bb70" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = taste ~ ., data = cheddar)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-17.390 -6.612 -1.009 4.908 25.449 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -28.8768 19.7354 -1.463 0.15540 \n", - "Acetic 0.3277 4.4598 0.073 0.94198 \n", - "H2S 3.9118 1.2484 3.133 0.00425 **\n", - "Lactic 19.6705 8.6291 2.280 0.03108 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 10.13 on 26 degrees of freedom\n", - "Multiple R-squared: 0.6518,\tAdjusted R-squared: 0.6116 \n", - "F-statistic: 16.22 on 3 and 26 DF, p-value: 3.81e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "a <- seq(1,30)\n", - "cheddar$time <- a\n", - "#summary(cheddar)" - ], - "metadata": { - "id": "3gDqsWRfo7bq" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Ploting errors vs time\n", - "plot(cheddar$time, (mdl5$residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm((mdl5$residuals)~cheddar$time),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "BFCWmOqNtpra", - "outputId": "4f58fa51-81db-40d9-ed88-6e6c53371d88" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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Ae7YgEAUAB2xbYVt0zRndte8+WEiv7z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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.a)**\n", - "\n", - "The plot shows that the errors vary according to time. Hence we may consider time as a parameter for the model." - ], - "metadata": { - "id": "3rfk6kTcqlMN" - } - }, - { - "cell_type": "code", - "source": [ - "#Fit a GLS model \n", - "library(nlme)\n", - "mdl6 <- gls(taste ~ Acetic + H2S + Lactic, correlation = corAR1(form = ~time) , data = cheddar)\n", - "summary(mdl6)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 555 - }, - "id": "Mgc65PmDwCN1", - "outputId": "c505537e-bfd7-4f25-ee45-615e2ef2d73c" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Generalized least squares fit by REML\n", - " Model: taste ~ Acetic + H2S + Lactic \n", - " Data: cheddar \n", - " AIC BIC logLik\n", - " 214.94 222.4886 -101.47\n", - "\n", - "Correlation Structure: AR(1)\n", - " Formula: ~time \n", - " Parameter estimate(s):\n", - " Phi \n", - "0.2641944 \n", - "\n", - "Coefficients:\n", - " Value Std.Error t-value p-value\n", - "(Intercept) -30.332472 20.273077 -1.496195 0.1466\n", - "Acetic 1.436411 4.876581 0.294553 0.7707\n", - "H2S 4.058880 1.314283 3.088284 0.0047\n", - "Lactic 15.826468 9.235404 1.713674 0.0985\n", - "\n", - " Correlation: \n", - " (Intr) Acetic H2S \n", - "Acetic -0.899 \n", - "H2S 0.424 -0.395 \n", - "Lactic 0.063 -0.416 -0.435\n", - "\n", - "Standardized residuals:\n", - " Min Q1 Med Q3 Max \n", - "-1.64546468 -0.63861716 -0.06641714 0.52255676 2.41323021 \n", - "\n", - "Residual standard error: 10.33276 \n", - "Degrees of freedom: 30 total; 26 residual" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "intervals(mdl6)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 295 - }, - "id": "-XVfWL0VxhAk", - "outputId": "aa4db6a0-3353-466d-953b-74dfbfb9a634" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Approximate 95% confidence intervals\n", - "\n", - " Coefficients:\n", - " lower est. upper\n", - "(Intercept) -72.004379 -30.332472 11.339436\n", - "Acetic -8.587544 1.436411 11.460367\n", - "H2S 1.357332 4.058880 6.760427\n", - "Lactic -3.157177 15.826468 34.810113\n", - "\n", - " Correlation structure:\n", - " lower est. upper\n", - "Phi -0.1690759 0.2641944 0.6118917\n", - "\n", - " Residual standard error:\n", - " lower est. upper \n", - " 7.626441 10.332756 13.999433 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.b)**\n", - "The phi values' confidence interval lies b/w 0.26 to 0.611. This does not have 0 in them. Therefore the errors are not collinear." - ], - "metadata": { - "id": "-ftZAwy7JFKk" - } - }, - { - "cell_type": "code", - "source": [ - "#Fit a OLS model with time variable\n", - "mdl7 <- lm(taste ~ . , data = cheddar)\n", - "summary(mdl7)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "SzzWBlchvlqw", - "outputId": "d588df81-7499-4416-89a9-a5cd7f25cdd9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = taste ~ ., data = cheddar)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-22.3523 -4.9735 -0.5089 4.8531 23.1311 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -36.6127 17.9845 -2.036 0.05250 . \n", - "Acetic 4.1275 4.2556 0.970 0.34139 \n", - "H2S 3.5387 1.1315 3.127 0.00444 **\n", - "Lactic 17.9527 7.7875 2.305 0.02973 * \n", - "time -0.5459 0.2043 -2.672 0.01306 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 9.112 on 25 degrees of freedom\n", - "Multiple R-squared: 0.7291,\tAdjusted R-squared: 0.6858 \n", - "F-statistic: 16.83 on 4 and 25 DF, p-value: 8.205e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.c)** In the new model for OLS the \"time\" predictor is not significant as the p value <α (5%)." - ], - "metadata": { - "id": "1cB4Jwl8vvM7" - } - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.d)**\n", - "In the OLS we take time as a predictor. In the GLS model we take the Variance of error as Σ and the variations in errors with time is recorded in Σ matrix.\n", - "The variation of error in OLS is taken as σ^2 I." - ], - "metadata": { - "id": "95Nb8b45P0Tv" - } - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_6_002.ipynb b/STATS_500_Hw_6_002.ipynb deleted file mode 100644 index b839a932..00000000 --- a/STATS_500_Hw_6_002.ipynb +++ /dev/null @@ -1,718 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyORoLPgkHX0l56ngm6tPyyX", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 6\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "1255246e-52e9-4a76-e525-efc59a55de60" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "Warning message in install.packages(\"faraway\"):\n", - "“installation of package ‘faraway’ had non-zero exit status”\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(sat)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#plot(sat)" - ], - "metadata": { - "id": "h5ZcVDWOO5yv" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Ordinary Least Square Method\n", - "mdl1 <- lm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "JJ-ES-ExPAV8", - "outputId": "7406235b-e5b7-475c-d078-2d8d69954e86" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-90.531 -20.855 -1.746 15.979 66.571 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 1045.9715 52.8698 19.784 < 2e-16 ***\n", - "takers -2.9045 0.2313 -12.559 2.61e-16 ***\n", - "ratio -3.6242 3.2154 -1.127 0.266 \n", - "salary 1.6379 2.3872 0.686 0.496 \n", - "expend 4.4626 10.5465 0.423 0.674 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 32.7 on 45 degrees of freedom\n", - "Multiple R-squared: 0.8246,\tAdjusted R-squared: 0.809 \n", - "F-statistic: 52.88 on 4 and 45 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.a)**\n", - "Here β0 and β1 are significant." - ], - "metadata": { - "id": "slYoKHbWSzX7" - } - }, - { - "cell_type": "code", - "source": [ - "library(MASS)" - ], - "metadata": { - "id": "SwB1ws9vPcq1" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Least Absolute Deviations Method\n", - "mdl3 <- rq(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 225 - }, - "id": "PtltbFfPQFI4", - "outputId": "08d39014-2c3b-422c-9715-1c5d7e4095a9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call: rq(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "\n", - "tau: [1] 0.5\n", - "\n", - "Coefficients:\n", - " coefficients lower bd upper bd \n", - "(Intercept) 1090.89886 920.17149 1151.85075\n", - "takers -3.13961 -3.38485 -2.66479\n", - "ratio -7.26632 -10.73796 1.62341\n", - "salary 3.18313 -0.15788 5.41909\n", - "expend -0.79753 -8.88001 20.92522" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.b)**\n", - "For the Least Absolute Deviation model the coeffiecients for \"ratio\", \"salary\" and \"expend\" have 0 in their confidence interval. It states that the significance of these coefficients is low and hence β0 and β1 are significant. " - ], - "metadata": { - "id": "2QBlRMFfudZp" - } - }, - { - "cell_type": "code", - "source": [ - "install.packages(\"quantreg\")\n", - "library(quantreg)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "emYnpmxQPy8l", - "outputId": "9b9bb7fd-9436-49e0-941a-7d614d45aff8" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n" - ] - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Huber's Method\n", - "mdl2 <- rlm(total ~ takers+ ratio+ salary+ expend, data = sat)\n", - "summary(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 277 - }, - "id": "1tnmajILPfYJ", - "outputId": "519298db-2f59-42d6-b042-a36a1f8e0c8c" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call: rlm(formula = total ~ takers + ratio + salary + expend, data = sat)\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-92.510 -17.701 -1.002 15.015 77.058 \n", - "\n", - "Coefficients:\n", - " Value Std. Error t value \n", - "(Intercept) 1060.2074 49.8845 21.2533\n", - "takers -2.9778 0.2182 -13.6470\n", - "ratio -5.1254 3.0339 -1.6894\n", - "salary 2.0933 2.2525 0.9293\n", - "expend 3.9158 9.9510 0.3935\n", - "\n", - "Residual standard error: 25.58 on 45 degrees of freedom" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "2 * pt(-(abs(21.2533)), 45)\n", - "2 * pt(-(abs(-13.6470)), 45)\n", - "2 * pt(-(abs(-1.6894)), 45)\n", - "2 * pt(-(abs(0.9293)), 45)\n", - "2 * pt(-(abs(0.3935)), 45)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 104 - }, - "id": "8vOdb9WYrLuC", - "outputId": "b926eb74-daef-4906-fef7-39f512989977" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "4.24361389959165e-25" - ], - "text/markdown": "4.24361389959165e-25", - "text/latex": "4.24361389959165e-25", - "text/plain": [ - "[1] 4.243614e-25" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "1.32907452144191e-17" - ], - "text/markdown": "1.32907452144191e-17", - "text/latex": "1.32907452144191e-17", - "text/plain": [ - "[1] 1.329075e-17" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.098060880287284" - ], - "text/markdown": "0.098060880287284", - "text/latex": "0.098060880287284", - "text/plain": [ - "[1] 0.09806088" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.357692034447825" - ], - "text/markdown": "0.357692034447825", - "text/latex": "0.357692034447825", - "text/plain": [ - "[1] 0.357692" - ] - }, - "metadata": {} - }, - { - "output_type": "display_data", - "data": { - "text/html": [ - "0.695808503448403" - ], - "text/markdown": "0.695808503448403", - "text/latex": "0.695808503448403", - "text/plain": [ - "[1] 0.6958085" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.c)** The p-values for β0 and β1 are < α (5%). Therefore they are significant." - ], - "metadata": { - "id": "ove6dAXzskVW" - } - }, - { - "cell_type": "markdown", - "source": [ - "_____________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "dX9TyTecm_S4" - } - }, - { - "cell_type": "code", - "source": [ - "data(cheddar)" - ], - "metadata": { - "id": "eJQ3vxy-nDi6" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl5 <- lm(taste ~ . , data = cheddar)\n", - "summary(mdl5)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "NbFUVOVsnJ9W", - "outputId": "2e1207d3-a207-4c27-899a-44ca8a66bb70" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = taste ~ ., data = cheddar)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-17.390 -6.612 -1.009 4.908 25.449 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -28.8768 19.7354 -1.463 0.15540 \n", - "Acetic 0.3277 4.4598 0.073 0.94198 \n", - "H2S 3.9118 1.2484 3.133 0.00425 **\n", - "Lactic 19.6705 8.6291 2.280 0.03108 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 10.13 on 26 degrees of freedom\n", - "Multiple R-squared: 0.6518,\tAdjusted R-squared: 0.6116 \n", - "F-statistic: 16.22 on 3 and 26 DF, p-value: 3.81e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "a <- seq(1,30)\n", - "cheddar$time <- a\n", - "#summary(cheddar)" - ], - "metadata": { - "id": "3gDqsWRfo7bq" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "yrcJ1poQbzZq" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Ploting errors vs time\n", - "plot(cheddar$time, (mdl5$residuals), col = \"purple\" )\n", - "abline(0,0)\n", - "abline(lm((mdl5$residuals)~cheddar$time),col = \"blue\", lwd = 3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "BFCWmOqNtpra", - "outputId": "4f58fa51-81db-40d9-ed88-6e6c53371d88" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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Ae7YgEAUAB2xbYVt0zRndte8+WEiv7z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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.a)**\n", - "\n", - "The plot shows that the errors vary according to time. Hence we may consider time as a parameter for the model." - ], - "metadata": { - "id": "3rfk6kTcqlMN" - } - }, - { - "cell_type": "code", - "source": [ - "#Fit a GLS model \n", - "library(nlme)\n", - "mdl6 <- gls(taste ~ Acetic + H2S + Lactic, correlation = corAR1(form = ~time) , data = cheddar)\n", - "summary(mdl6)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 555 - }, - "id": "Mgc65PmDwCN1", - "outputId": "c505537e-bfd7-4f25-ee45-615e2ef2d73c" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Generalized least squares fit by REML\n", - " Model: taste ~ Acetic + H2S + Lactic \n", - " Data: cheddar \n", - " AIC BIC logLik\n", - " 214.94 222.4886 -101.47\n", - "\n", - "Correlation Structure: AR(1)\n", - " Formula: ~time \n", - " Parameter estimate(s):\n", - " Phi \n", - "0.2641944 \n", - "\n", - "Coefficients:\n", - " Value Std.Error t-value p-value\n", - "(Intercept) -30.332472 20.273077 -1.496195 0.1466\n", - "Acetic 1.436411 4.876581 0.294553 0.7707\n", - "H2S 4.058880 1.314283 3.088284 0.0047\n", - "Lactic 15.826468 9.235404 1.713674 0.0985\n", - "\n", - " Correlation: \n", - " (Intr) Acetic H2S \n", - "Acetic -0.899 \n", - "H2S 0.424 -0.395 \n", - "Lactic 0.063 -0.416 -0.435\n", - "\n", - "Standardized residuals:\n", - " Min Q1 Med Q3 Max \n", - "-1.64546468 -0.63861716 -0.06641714 0.52255676 2.41323021 \n", - "\n", - "Residual standard error: 10.33276 \n", - "Degrees of freedom: 30 total; 26 residual" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "intervals(mdl6)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 295 - }, - "id": "-XVfWL0VxhAk", - "outputId": "aa4db6a0-3353-466d-953b-74dfbfb9a634" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Approximate 95% confidence intervals\n", - "\n", - " Coefficients:\n", - " lower est. upper\n", - "(Intercept) -72.004379 -30.332472 11.339436\n", - "Acetic -8.587544 1.436411 11.460367\n", - "H2S 1.357332 4.058880 6.760427\n", - "Lactic -3.157177 15.826468 34.810113\n", - "\n", - " Correlation structure:\n", - " lower est. upper\n", - "Phi -0.1690759 0.2641944 0.6118917\n", - "\n", - " Residual standard error:\n", - " lower est. upper \n", - " 7.626441 10.332756 13.999433 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.b)**\n", - "The phi values' confidence interval lies b/w 0.26 to 0.611. This does not have 0 in them. Therefore the errors are not collinear." - ], - "metadata": { - "id": "-ftZAwy7JFKk" - } - }, - { - "cell_type": "code", - "source": [ - "#Fit a OLS model with time variable\n", - "mdl7 <- lm(taste ~ . , data = cheddar)\n", - "summary(mdl7)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "SzzWBlchvlqw", - "outputId": "d588df81-7499-4416-89a9-a5cd7f25cdd9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = taste ~ ., data = cheddar)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-22.3523 -4.9735 -0.5089 4.8531 23.1311 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -36.6127 17.9845 -2.036 0.05250 . \n", - "Acetic 4.1275 4.2556 0.970 0.34139 \n", - "H2S 3.5387 1.1315 3.127 0.00444 **\n", - "Lactic 17.9527 7.7875 2.305 0.02973 * \n", - "time -0.5459 0.2043 -2.672 0.01306 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 9.112 on 25 degrees of freedom\n", - "Multiple R-squared: 0.7291,\tAdjusted R-squared: 0.6858 \n", - "F-statistic: 16.83 on 4 and 25 DF, p-value: 8.205e-07\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.c)** In the new model for OLS the \"time\" predictor is not significant as the p value <α (5%)." - ], - "metadata": { - "id": "1cB4Jwl8vvM7" - } - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.d)**\n", - "In the OLS we take time as a predictor. In the GLS model we take the Variance of error as Σ and the variations in errors with time is recorded in Σ matrix.\n", - "The variation of error in OLS is taken as σ^2 I." - ], - "metadata": { - "id": "95Nb8b45P0Tv" - } - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "8SkvROnsbwns" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "oj2tQ7E3bwgc" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "34pE9uibbwVa" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/STATS_500_Hw_7_002.ipynb b/STATS_500_Hw_7_002.ipynb deleted file mode 100644 index 0fbf940f..00000000 --- a/STATS_500_Hw_7_002.ipynb +++ /dev/null @@ -1,964 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "wpEPBhVwCCIq" - }, - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 7\n", - "\n", - "**Problem 1**" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "d6cd7ffe-a288-4668-e18d-e63e36dc9279" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "VSMz5dydB2iP" - }, - "outputs": [], - "source": [ - "data(aatemp)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "2J2ALsg3DL0x", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 329 - }, - "outputId": "24601fc4-52df-4293-ae33-331fc438707d" - }, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ year, data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.9843 -0.9113 -0.0820 0.9946 3.5343 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 24.005510 7.310781 3.284 0.00136 **\n", - "year 0.012237 0.003768 3.247 0.00153 **\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.466 on 113 degrees of freedom\n", - "Multiple R-squared: 0.08536,\tAdjusted R-squared: 0.07727 \n", - "F-statistic: 10.55 on 1 and 113 DF, p-value: 0.001533\n" - ] - }, - "metadata": {} - } - ], - "source": [ - "mdl1 <- lm(temp~year,aatemp)\n", - "summary(mdl1)" - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.a)**\n", - "The linear model is valid as the coefficient for \"year\" is significant" - ], - "metadata": { - "id": "GWvruUGWKXN1" - } - }, - { - "cell_type": "code", - "source": [ - "library(nlme)\n", - "mdl2 <- gls(temp~year, correlation = corAR1(form = ~year) , data = aatemp)\n", - "intervals(mdl2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 260 - }, - "id": "tse5em-sHp9Z", - "outputId": "ea472522-67b2-497c-80f0-74e1f7d40a75" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Approximate 95% confidence intervals\n", - "\n", - " Coefficients:\n", - " lower est. upper\n", - "(Intercept) 7.409192377 25.18407266 42.95895294\n", - "year 0.002474401 0.01164028 0.02080617\n", - "\n", - " Correlation structure:\n", - " lower est. upper\n", - "Phi1 0.02923291 0.2303887 0.4136101\n", - "\n", - " Residual standard error:\n", - " lower est. upper \n", - "1.284094 1.475718 1.695937 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.b)**\n", - "\n", - "The \"correlation\" is significant as the Phi1 value does not have 0 in the confidence interval.\n", - "\n", - "The predictor \"year\" is still significant as it does not have 0 in the confidence interval. Therefore it does not change the existence of linear model." - ], - "metadata": { - "id": "ybTigbF5JjA4" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "H2oqDqweD8je", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 486 - }, - "outputId": "1ba665ec-910f-42be-c58a-5f3159ad98a8" - }, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 10), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.4987 -0.8641 -0.1745 1.1450 3.4255 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1319 361.927 < 2e-16 ***\n", - "poly(year, 10)1 4.7616 1.4146 3.366 0.00107 ** \n", - "poly(year, 10)2 -0.9071 1.4146 -0.641 0.52277 \n", - "poly(year, 10)3 -3.3132 1.4146 -2.342 0.02108 * \n", - "poly(year, 10)4 2.4383 1.4146 1.724 0.08774 . \n", - "poly(year, 10)5 3.3824 1.4146 2.391 0.01860 * \n", - "poly(year, 10)6 1.2124 1.4146 0.857 0.39337 \n", - "poly(year, 10)7 -0.9373 1.4146 -0.663 0.50908 \n", - "poly(year, 10)8 -1.1011 1.4146 -0.778 0.43812 \n", - "poly(year, 10)9 1.3994 1.4146 0.989 0.32483 \n", - "poly(year, 10)10 0.3474 1.4146 0.246 0.80652 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.415 on 104 degrees of freedom\n", - "Multiple R-squared: 0.2165,\tAdjusted R-squared: 0.1411 \n", - "F-statistic: 2.873 on 10 and 104 DF, p-value: 0.003335\n" - ] - }, - "metadata": {} - } - ], - "source": [ - "mdl3 <- lm(temp~poly(year,10), aatemp)\n", - "summary(mdl3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "g9JuiEHHesch", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 468 - }, - "outputId": "31808b96-87f9-43f1-d515-d955743f51d6" - }, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 9), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.4836 -0.8831 -0.2156 1.1354 3.3936 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1313 363.557 < 2e-16 ***\n", - "poly(year, 9)1 4.7616 1.4083 3.381 0.00101 ** \n", - "poly(year, 9)2 -0.9071 1.4083 -0.644 0.52089 \n", - "poly(year, 9)3 -3.3132 1.4083 -2.353 0.02050 * \n", - "poly(year, 9)4 2.4383 1.4083 1.731 0.08631 . \n", - "poly(year, 9)5 3.3824 1.4083 2.402 0.01807 * \n", - "poly(year, 9)6 1.2124 1.4083 0.861 0.39123 \n", - "poly(year, 9)7 -0.9373 1.4083 -0.666 0.50716 \n", - "poly(year, 9)8 -1.1011 1.4083 -0.782 0.43605 \n", - "poly(year, 9)9 1.3994 1.4083 0.994 0.32265 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.408 on 105 degrees of freedom\n", - "Multiple R-squared: 0.216,\tAdjusted R-squared: 0.1488 \n", - "F-statistic: 3.215 on 9 and 105 DF, p-value: 0.001769\n" - ] - }, - "metadata": {} - } - ], - "source": [ - "mdl3_1 <- lm(temp~poly(year,9), aatemp)\n", - "summary(mdl3_1)" - ] - }, - { - "cell_type": "code", - "source": [ - "mdl3_2 <- lm(temp~poly(year,8), aatemp)\n", - "summary(mdl3_2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 451 - }, - "id": "KBLLsv7bLk6u", - "outputId": "a0176940-3a23-4dba-825c-a117b0978d2c" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 8), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.6086 -0.8600 -0.2385 1.0608 3.3975 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1313 363.579 < 2e-16 ***\n", - "poly(year, 8)1 4.7616 1.4082 3.381 0.00101 ** \n", - "poly(year, 8)2 -0.9071 1.4082 -0.644 0.52085 \n", - "poly(year, 8)3 -3.3132 1.4082 -2.353 0.02047 * \n", - "poly(year, 8)4 2.4383 1.4082 1.732 0.08626 . \n", - "poly(year, 8)5 3.3824 1.4082 2.402 0.01805 * \n", - "poly(year, 8)6 1.2124 1.4082 0.861 0.39118 \n", - "poly(year, 8)7 -0.9373 1.4082 -0.666 0.50713 \n", - "poly(year, 8)8 -1.1011 1.4082 -0.782 0.43600 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.408 on 106 degrees of freedom\n", - "Multiple R-squared: 0.2086,\tAdjusted R-squared: 0.1489 \n", - "F-statistic: 3.494 on 8 and 106 DF, p-value: 0.001284\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl3_3 <- lm(temp~poly(year,7), aatemp)\n", - "summary(mdl3_3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 434 - }, - "id": "iYVG3U_1LtW7", - "outputId": "48dc1cd9-1d2a-4746-a0aa-0c13ec1802b9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 7), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.5922 -0.9032 -0.2322 0.9880 3.2941 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1311 364.241 < 2e-16 ***\n", - "poly(year, 7)1 4.7616 1.4056 3.388 0.000988 ***\n", - "poly(year, 7)2 -0.9071 1.4056 -0.645 0.520083 \n", - "poly(year, 7)3 -3.3132 1.4056 -2.357 0.020234 * \n", - "poly(year, 7)4 2.4383 1.4056 1.735 0.085672 . \n", - "poly(year, 7)5 3.3824 1.4056 2.406 0.017828 * \n", - "poly(year, 7)6 1.2124 1.4056 0.863 0.390303 \n", - "poly(year, 7)7 -0.9373 1.4056 -0.667 0.506341 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.406 on 107 degrees of freedom\n", - "Multiple R-squared: 0.2041,\tAdjusted R-squared: 0.152 \n", - "F-statistic: 3.919 on 7 and 107 DF, p-value: 0.0007651\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl3_4 <- lm(temp~poly(year,6), aatemp)\n", - "summary(mdl3_4)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "2kuWyGRyL0jF", - "outputId": "34c8b5ce-e9ed-4945-a46b-df5a8aac3f15" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 6), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.6846 -0.8825 -0.1428 0.9388 3.2950 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1307 365.181 < 2e-16 ***\n", - "poly(year, 6)1 4.7616 1.4020 3.396 0.000957 ***\n", - "poly(year, 6)2 -0.9071 1.4020 -0.647 0.518996 \n", - "poly(year, 6)3 -3.3132 1.4020 -2.363 0.019905 * \n", - "poly(year, 6)4 2.4383 1.4020 1.739 0.084851 . \n", - "poly(year, 6)5 3.3824 1.4020 2.413 0.017527 * \n", - "poly(year, 6)6 1.2124 1.4020 0.865 0.389067 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.402 on 108 degrees of freedom\n", - "Multiple R-squared: 0.2008,\tAdjusted R-squared: 0.1564 \n", - "F-statistic: 4.522 on 6 and 108 DF, p-value: 0.0003978\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl3_5 <- lm(temp~poly(year,5), aatemp)\n", - "summary(mdl3_5)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "_mAD3AtWL47V", - "outputId": "d047d0b5-bc77-42fa-fca4-952b09ad3b58" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ poly(year, 5), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.7142 -0.9198 -0.1420 0.9903 3.2364 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 47.7426 0.1306 365.604 < 2e-16 ***\n", - "poly(year, 5)1 4.7616 1.4004 3.400 0.000942 ***\n", - "poly(year, 5)2 -0.9071 1.4004 -0.648 0.518500 \n", - "poly(year, 5)3 -3.3132 1.4004 -2.366 0.019749 * \n", - "poly(year, 5)4 2.4383 1.4004 1.741 0.084470 . \n", - "poly(year, 5)5 3.3824 1.4004 2.415 0.017384 * \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.4 on 109 degrees of freedom\n", - "Multiple R-squared: 0.1952,\tAdjusted R-squared: 0.1583 \n", - "F-statistic: 5.289 on 5 and 109 DF, p-value: 0.0002176\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "plot(aatemp$temp~aatemp$year)\n", - "points(aatemp$year, mdl3_5$fitted.values, col = \"purple\", pch = 20)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "HXdfGChHao5j", - "outputId": "a9a23091-29d7-443b-d3f8-fb4a70e9864a" - }, - "execution_count": 38, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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pIVTGCwYgcAAD1dRETEzp07b9686erq2jzi7u6+cOHCYcOGLV68uM1jyqE7S0lJ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\nQCUIdgAAACrxHxdoW1X9hAdgAAAAAElFTkSuQmCC" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "plot(aatemp$year, mdl3_5$fitted.values, type=\"l\", ylim=c(43,53))\n", - "points(aatemp$year, aatemp$temp, col = \"purple\", pch = 20)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "aboEw1RyYqdB", - "outputId": "f178e9c3-a388-43be-85e6-7b3579013600" - }, - "execution_count": 35, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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ACQt3xtShQYGDh37tw5c+YkJCSkpqb6+vqS5wAAAFzNE+w2qVAoSpcuTaR7GndO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\ns2dPIdQBADKWctmyY3CGKeNBPkg4bN4+KOP5332yu+68SisbfuR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i4MGDY8aMCQkJiY+Pz90eGBg4dOjQr7/+2mG1AfhHKp2i7ru6uu/q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pqH+eDlKXPnCS8vLw8Pj5iYmKIjI0eO3L59+8OHD4ua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" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "variable_year <- data.frame(year = 2020)\n", - "predict(mdl3_5, newdata = variable_year )" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "Br-2bs0yYqRy", - "outputId": "6ae42f45-710d-49aa-cbbe-45701436d894" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "1: 60.0777380272404" - ], - "text/markdown": "**1:** 60.0777380272404", - "text/latex": "\\textbf{1:} 60.0777380272404", - "text/plain": [ - " 1 \n", - "60.07774 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.c)** A model of polynomial of degree 5 is appropriate for the data.The temperature at 2020 is predicted as 60 °$F$" - ], - "metadata": { - "id": "GQ3PDvzJcnDW" - } - }, - { - "cell_type": "code", - "source": [ - "plot(temp~year, data = aatemp)\n", - "abline(v = 1930, lty = 5)\n", - "lhs <- function(x)ifelse(x<=1930,mean(aatemp$temp),0)\n", - "rhs <- function(x)ifelse(x>1930,x-1930,0)\n", - "mdl4 <- lm(temp~ lhs(year) + rhs(year), data = aatemp)\n", - "x <- seq(1854,2000, by=1)\n", - "py <-mdl4$coef[1] + mdl4$coef[2]*lhs(x) + mdl4$coef[3]*rhs(x)\n", - "lines(x,py,lty = 2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "5JMxFNh9TaSK", - "outputId": "a9bd662d-a5a3-4415-f623-316fef0b1035" - }, - "execution_count": 28, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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zF9kpFwcZtJv3tZKvVfdtbh7t/qGk0e5q8tsHhMofSOHiY96hpASHA/uYdTfgdE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\nr2D1C4nl08a83Lv/JVMiE5PshBR+b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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "summary(mdl4)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 347 - }, - "id": "KkVMvbIXUmuY", - "outputId": "918a3a01-6113-44c9-831a-5280c9bc981e" - }, - "execution_count": 29, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = temp ~ lhs(year) + rhs(year), data = aatemp)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.5867 -0.9456 -0.0979 1.0233 3.9925 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 48.748738 0.343152 142.062 < 2e-16 ***\n", - "lhs(year) -0.036697 0.008291 -4.426 2.24e-05 ***\n", - "rhs(year) -0.012519 0.008248 -1.518 0.132 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.381 on 112 degrees of freedom\n", - "Multiple R-squared: 0.1954,\tAdjusted R-squared: 0.181 \n", - "F-statistic: 13.6 on 2 and 112 DF, p-value: 5.167e-06\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.d)** There is a weak negative linear relationship b/w \"year\" and \"temp\" after 1930. The model seems to have some error." - ], - "metadata": { - "id": "eCOIyGtsdmRT" - } - }, - { - "cell_type": "code", - "source": [ - "attach(aatemp)\n", - "knots <- c(1850,1850,1850,1850,1868.75,1906.25,1943.75,1981.25,2000,2000,2000,2000)\n", - "byear <- splineDesign(knots,year)\n", - "mdl5 <- lm(temp~byear-1)\n", - "matplot(year,byear,type = \"l\", col = 1)\n", - "matplot(year, cbind(temp,mdl5$fit), type = \"pl\", ylab = \"year\", pch = 20, lty = 1, col = 1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 1000 - }, - "id": "VUfMHWBrX9yF", - "outputId": "6d72f5eb-d216-4a54-c590-f15cd013d078" - }, - "execution_count": 32, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "The following objects are masked from aatemp (pos = 3):\n", - "\n", - " temp, year\n", - "\n", - "\n", - "The following objects are masked from aatemp (pos = 4):\n", - "\n", - " temp, year\n", - "\n", - "\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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2x9SJFKxK/wF7az6maU6f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pkJfQfpsKIezS3h+YtK0nWP2XJfjPjU6jocKV84F5ljryl2+3eFp9vZxtVbbHox\nhf++NT4FzDu/eNzHp9MTZBp3eGVqkMoOc/+zir0lvn658PNu+clctSs3W2vpRnuWb1jbBl1G\n1hNxCjvLMdKhPrfcPS3/lRDpQqSr6HW8pdVLTskW/pNavhXT+GzUJjG2tXzE5VKK6pM9U4PU\nscSKjL9uvC75X0HYmviAzIQyQWqu9QKr4Q5J56+dra6GBhfbllbdRYsJ0vkjkI2KfpI5PqHm\nSmGt+1ulmuZew0/PGr3I142pSSWLPGPvj6lB2hbv/r2U2JoS0+g2V5hcn2syQXpR5YM8JjrQ\nvWbDt+3Ul5RCZ5tU1HWVwCg/86/40t4+O9w19MF9woF9wqFxfd+hHvrvVLnXVc9j7n2kvzvd\n2mW78PctIazKF3LTyQRpjtffK2h34tZqZnZdp9wBHqS63j/dUD96yDnhJ/EOa8UDtAX3rqa+\n8a01TYTOFm19IeSs/P6yfr6DtIVpvvkO3hy6sZbKK72mke4fs7d9fJo756qrPpbuJbH2pMX+\nGlbkAod/1gTp9MCiHcHvKZ14WQzzeYs9K1pjq0rtcmffUbWtBR28mWJf1dss72PEl/+aMxYx\nyPfdrfNDoviXVqL/O2CZW/cqLDXrpocVTpmfNUE6wOQbMsu1tas7RnfxKkndltL282gbO5Ib\n23lw8f2/+m4xJFqnNEhzyzB205+KypxQXMs3tKlB6panE2vWTa4pu1yQuj2ktXiNzvNWZPa9\nyKHD5vItbTiUigqVpW1zr7/J1knbsJKSa3Fp8e9qqYipQWIFyEwoF6S3r9VavEaebn9KmVys\nGX4rdb+9Bn9Q7cdY96YJe93fg+RP820oe4XLo309Te2iTQ3Sc2Gpy9JFW9i8dLnvbLkgrQ4z\nuYV1Gt8INu+ITot1xR914NX6gg6M7jluSHxNP52Ft+Tb0GtvCwV96lJ2AFiY3iB96adpVEEb\nUkN6iY069ZwjnQohGPVHFd7Po8xzpQ61Or67nR9KUeFQD1czL/3CXjGAB8n/1bgdxUZrq4Le\nIEW9pmrWrNeiKyzUFyShsrJBPensFR+r7OL4v92FLY99xj7Dp+i1pU3o4zJdM+0rLuaovt9t\neKFWyxxhf6/b2n2utgJ6g9T0HpV/1HY1YW3SdAWpnemPJOVs/MoGPboTWxb9vF1zlPPtW5+r\nHpl51S1R/X136/BHs7gyT/l/dKlrynFhl/Rsutprw3qDdLhTizkbd0qUzj6zRNwwPUEaVl9p\nSeDb4shBVlfBl5M3u3fkq1UPo567oHrCKH3X8mdE/CIIHaWjQJfK5t96g6TsKlxBR9xV1RGk\nz+Lt+pfUQb6I0PMwq7Eel3aneupnzHovqdxbqr/KrvgrRnwwoSrfnZerm1dvkB56rGvezSEV\nS1jSf6vs57JB2sOUjqIGviwK13hObQbp8QgWoqX7rQtjS1WcpvXhxv0pHcT/eK+vTGV3SmSX\nv89RDiEvG6TchEWERQWlBeHqrhGZKjua78l7Nc19ZmTxKjM1XRg6WLWJdHN6lFT61SrjSBak\nT8qrXo5v8t1x3TGUsKhgNM813uoqyGkg7clltR7An/xfsSofqP9WOnJdA36CldXBXXqK2kEw\ndAfp2KT+/dyeSopXvRzf5IP0jN8WISBnjktlhyEm+038SgrTMZjZiSEJlaapPFc6XvOWyw2I\nNs1covqmv94g7S3tudTgorxhKR+k95NxtUGHj11vWV0FP3b1btpVX2v79GGJFcar6aTvUJ1U\nfY3g9QbpkfjJy9n0ZS8lLdNVjULkg7QjtqVdn6BxgI8U9pK//q6okj009rdtA2fGlk8c4uWx\nN+9+qnBrwZtMBx8pHttCTasdvUFKfkm4yNa5vw1L/KR6Ob756bL4nzplLev0yp81z3Z5184N\nQWe7vA6mUMSOOPE4o6GGYYXs4tLUqlHdvXfUXdjb4U8VPBK8WFN6yF1+9I8C9AYp/D33In50\nvxjSRPVyfPPX93fGi2H96IdfpPC6uAFqF3404ViP8sXb+Lji//cSM1tNfOiS7Sv6ij78iH2V\nsdUxVs5nd4S0WOq36c25R6JmFHprAV/7V5SXpTdIJUYKQtxM94u5CaqX45v/TvR/SKqpqrms\nSfa6vDVwzbxV+vvm7Rn5Q2JveI/ouImoziyX0m4gm/BdyepeI/Va3ym88mjZOzM5M5IqF7lE\n9wpf+47KC9IbpLZJK4Xb6rp3++5lVC/HNwWjURxvHz3ZftcceLfF7O6C737N3/2flxn4MOEv\nmlI5MUeKH1p7ktdZtitxR/qjggoAACAASURBVDg0pkr4fQt9Pr74Xa3Y4UXbFc3ma6+iFZXe\nIP0aVUeYwSq2T2WPqF6Ob4qGdZkW01rxyaRZFvIN0Krgu6/zd7100eHpui3FlMoJs8KUP/y5\nRvpuvcbOz6ErlfNtx9i4jou8rMqpWY3CnvR2InRc6vU16m/lhei+j7TxHSF3UDQLuVfJqABK\nKRsfadtN5fw8z2W6g/yu/BsF3/WMS/Rs0em38U8iTXkuaGbYVBVTf1KGsXryLbmE8xv+dsbT\nJecXdIhx3Tbwm/yXuPfNvy+qRHcfWdlQk7GK8g1CC6Jp2XBxL+2T/woHGsvoH/acaacXysyK\ncOeiRaG960QFMS3hXnozzYqVgnSzGVVTlyN33bb76/js45KMVaW8WmukC8uH3RXNEus88PxA\nty43x7P4hxfLXF/dv1PVFUuCIJ3ZLN/TiwaKR+z7rnyqnz+aZtsxbsjXRc7dNtRgrMyARsmN\ni3Qlxge6M6PjbbU58m+91KNIGdsdX/t2aeOC13ve09Tt4dGf7SC9tK87SKvqSGekbXQM1VaU\n8qEvj7WNetN+1xyKyNn55ywpMnMLfZA7p35K8x9NqMGMMIXXvZXzjMMiO/5z0NB9sSEivrk7\nSEfLRWykq5SqMWQ/jG1O2fDcMFdJe10li0o3IEfCAzxI3p4lzXrr9hpd9pKXaGN6g9Qq+cAh\n8RvpSHJbukqpG4x5S60KNhiTxJ/jnjaJ5IfBiswIm0a/0BF8jbydkj8hflCSuEtuW9MbpJKv\nClKQhDGJZHVSO6r5pWfDXrBzqxxJVoy018VZ0m/PBypz9EObG+/337MsHxnsNi/X7bbwiPVW\nVaiz6Q2S62NPkGaGk9VJbZAE4fsKN9h+fK/HpH3rCSuK/kDlcd3HYk0V9CS/68FylZ7x1rfB\nxzxIt6sq1dn0BumqwZ4gPZFCVSVBfZCEo22iFXT+Z6lTrdy7Vhs1TfupTFc7PGxZKQY1tZf4\nvc870AFLb5B6JP4mBunky4yykyzVQRJyJ0Xdp3bYT7Nt/+YfVdP/OHEOxRnV1LDCTTL98IxL\nFKb9Ft0ZfmXlE80LcB69QTpU0VWbpaZGsmTKR4TUB0kQ/r7xKs3DINpRxj1iQ9fVupczxTVT\n5Rznw6QYlNBxW2FdZcbCX9Y+v/Povo90pFdJ9y+9VK8jZFUStAVJuDgwrK/trzkoN0zam5P0\nPi0y1aV+mHXeU3ZXPcVeXP1VMF2zI2nZkHt4J/UDq5qCJLZzqKvu4MnOPL1C6Rwl+V2XhlHg\nD4m9nd+tejzioKY3SPWmnqKrzGUagyQcbW37aw6KXceDpK/FyBsuTe0OctfNVduLjhOcXTxL\nRXtudXRf/mbRnb4jvzeiNUhC7ptRD9h2JEd1ukg5itB1BWVM+Hyq6gSAn8S2w08YdCNPb5CO\nT2sSxioOVtzxtzKagyS2c6i4kq4iFvq3jBgkXR1nvRaBrjSvOJck/WnyNbazTgTnSEffbRTK\nGkynvEOiI0jCxb6hgXHN4eiglo/rOrAbGqF6cJJAtpofKxs0hCnN80j/TazFYnrSnejrCZIg\nfFv+ZtVDGQSgwZFfWV0Fnw599b3pt6a/4EGqbczSSYJ0YcH90Sw5PHw41QMN+oIk/NcsXv01\n3wCT2zeG9MkWUuOjGCtT5Nksg3mGMO1hzNIJgvTTk8VY9CMrhbT72TCaSukNkpD7RuRD1jSz\ntouc7vFmPOWkDW9BlODvAVxqL4mllv7XmIXrDVLaqGqM3TRZ2mtzm1L1JKQ3SIKwuWayfXck\n42V3Lr7O6jr45hlj/EONs28a2G2ylvvUuXPb3N7XqPTqDVIoS+h5+ZG+ySEUVRIogiRdc9A6\nUI7jZTxQQueNXEPdz4M0TtvcH4gtmK4z4valHnqDdMesfN2e7NQxgkABBEFyn1yWum23/qXk\nyZjee4iy/m+td6FleVtXdTQPksox8TxO8Ae7niOuk15k4yORIgmScLBpMbL+BM6InUFraW4j\n48hTlVOeMOBQ4/SdKcT39YidqixGoZW2S1Pf8RTWJa6TXoEcJCH3zUiqdg4vSFsvlrLVBO+o\nvSr5ZeCT9aqnyX1+cGzfabS9p6l2pE/qba9qbI67ggdJwxCzhgroIInPViTrfxBBdDPffJSd\nQ3i6xVU2OIRyh26sITuIwqp4d6GVffcXk7V1k836CizoVIL0a7PbMxoBHiThXHfXcIrOQG+l\naEJa0AC+yKcIF+m2u0p92Qv/uclSqT67h19TlbGyC2nrRGthlPiFZPF3ahGBHiRBWFSi/l79\nSxko7X7xlDen3uJBGkm4SEH4o3xz+e66d/JSy/n4+JA0pHjkn6SVIrZn7MB5thu3KfCDJBxu\nQXDN4VxtsSl24e4dddkjHmOxKNLra+tKdvJzzX8HD5KvO34f8I9VDMMAkiAIkpD7ZsSDur9K\nsmb3G0X81OCSJPcOTdo+e3F0b39PCeRK/ZCzB318zJ/LJR1aJDgEQ5AEYUO1Kna80X9p43rS\nQ/2ZLgVDzH0v3oe5yldDGc9Qda9SVisoBEeQhLNdXSNtd1hNbZS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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.e)** From the plot it is seen that the cubic spline fit is not better than linear fit." - ], - "metadata": { - "id": "7xtY6tcNeAW6" - } - }, - { - "cell_type": "markdown", - "source": [ - "____________________________________\n", - "Problem 2" - ], - "metadata": { - "id": "eW0VKr1vEyf-" - } - }, - { - "cell_type": "code", - "source": [ - "data(ozone)" - ], - "metadata": { - "id": "SVgzcplaEt_K" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl10 <- lm(O3~temp + humidity + ibh ,ozone)\n", - "summary(mdl10)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "9tlq1KahE2Hb", - "outputId": "79d075d3-fbce-4820-cd81-2c9e2d7db3c9" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = O3 ~ temp + humidity + ibh, data = ozone)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-11.5291 -3.0137 -0.2249 2.8239 13.9303 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -1.049e+01 1.616e+00 -6.492 3.16e-10 ***\n", - "temp 3.296e-01 2.109e-02 15.626 < 2e-16 ***\n", - "humidity 7.738e-02 1.339e-02 5.777 1.77e-08 ***\n", - "ibh -1.004e-03 1.639e-04 -6.130 2.54e-09 ***\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 4.524 on 326 degrees of freedom\n", - "Multiple R-squared: 0.684,\tAdjusted R-squared: 0.6811 \n", - "F-statistic: 235.2 on 3 and 326 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "library(MASS)\n", - "## Box-Cox method for Savings data\n", - "boxcox(mdl10, plotit=T, lambda=seq(0.1,0.4,by=0.05))" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "ng1nr0EIFcbG", - "outputId": "3870b9b4-85f4-4fd2-9935-96452e096d89" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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47oKYSAIMmu+NYG20TPQS5/j5fw/ucI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\n7w4ZpsFlV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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "Based on the graph of log-likelihood $λ$ above, the maximum likelihood is at $\\lambda \\approx 0.28$. To easily interpret, we will set $\\lambda$ at $0.25$." - ], - "metadata": { - "id": "Kvpgb5HdRQZh" - } - }, - { - "cell_type": "code", - "source": [ - "mdl11 <- lm(O3^(1/4)~temp + humidity + ibh ,ozone)\n", - "summary(mdl11)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "Qpz4VGE5RrCF", - "outputId": "78e454e7-0946-40cd-d778-115c16bfb0b5" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = O3^(1/4) ~ temp + humidity + ibh, data = ozone)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.5433 -0.1084 0.0091 0.1247 0.4933 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 9.137e-01 6.184e-02 14.774 < 2e-16 ***\n", - "temp 1.307e-02 8.070e-04 16.192 < 2e-16 ***\n", - "humidity 2.977e-03 5.124e-04 5.810 1.48e-08 ***\n", - "ibh -4.849e-05 6.269e-06 -7.734 1.31e-13 ***\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.1731 on 326 degrees of freedom\n", - "Multiple R-squared: 0.7152,\tAdjusted R-squared: 0.7126 \n", - "F-statistic: 272.9 on 3 and 326 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2**\n", - "\n", - "As we can see the summary above, the p-values from all predictors are extremely low, meaning that the model fits very well." - ], - "metadata": { - "id": "JL0Lr7o6R5aQ" - } - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "CiH0woVieWSu" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "r6uxijaDeWJo" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "BpVqfIkXeV_g" - }, - "execution_count": null, - "outputs": [] - } - ], - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyNtEnwfRWLtmu5bBDz+tWIp", - "include_colab_link": true - }, - "kernelspec": { - "display_name": "R", - "name": "ir" - }, - "language_info": { - "name": "R" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/STATS_500_Hw_8_001.ipynb b/STATS_500_Hw_8_001.ipynb deleted file mode 100644 index 1ac27db1..00000000 --- a/STATS_500_Hw_8_001.ipynb +++ /dev/null @@ -1,877 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyNYOmqYFfZYzvMF+i1VZg4L", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 8\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "648f08a2-0253-46bf-a19e-995d18013a61" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(prostate)" - ], - "metadata": { - "id": "UBmPWt4XessI" - }, - "execution_count": 31, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "attach(prostate)" - ], - "metadata": { - "id": "g9JuiEHHesch", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "81a78122-dfc6-43c4-82ce-d26e22399b65" - }, - "execution_count": 32, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "The following objects are masked from prostate (pos = 4):\n", - "\n", - " age, gleason, lbph, lcavol, lcp, lpsa, lweight, pgg45, svi\n", - "\n", - "\n" - ] - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Backward Elimination\n", - "mdl1_1 <- lm (lpsa ~ ., data = prostate)\n", - "summary(mdl1_1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 451 - }, - "id": "8qwkPuMKYaZZ", - "outputId": "0c01c4ed-1e65-41c0-99a4-8d31357f6298" - }, - "execution_count": 33, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ ., data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.7331 -0.3713 -0.0170 0.4141 1.6381 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.669337 1.296387 0.516 0.60693 \n", - "lcavol 0.587022 0.087920 6.677 2.11e-09 ***\n", - "lweight 0.454467 0.170012 2.673 0.00896 ** \n", - "age -0.019637 0.011173 -1.758 0.08229 . \n", - "lbph 0.107054 0.058449 1.832 0.07040 . \n", - "svi 0.766157 0.244309 3.136 0.00233 ** \n", - "lcp -0.105474 0.091013 -1.159 0.24964 \n", - "gleason 0.045142 0.157465 0.287 0.77503 \n", - "pgg45 0.004525 0.004421 1.024 0.30886 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7084 on 88 degrees of freedom\n", - "Multiple R-squared: 0.6548,\tAdjusted R-squared: 0.6234 \n", - "F-statistic: 20.86 on 8 and 88 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_2 <- lm (lpsa ~ .-gleason, data = prostate)\n", - "summary(mdl1_2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 434 - }, - "id": "hXcinL6wZerf", - "outputId": "5e9e2da9-df9a-4445-f387-67b9c7e09988" - }, - "execution_count": 34, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.73117 -0.38137 -0.01728 0.43364 1.63513 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 0.953926 0.829439 1.150 0.25319 \n", - "lcavol 0.591615 0.086001 6.879 8.07e-10 ***\n", - "lweight 0.448292 0.167771 2.672 0.00897 ** \n", - "age -0.019336 0.011066 -1.747 0.08402 . \n", - "lbph 0.107671 0.058108 1.853 0.06720 . \n", - "svi 0.757734 0.241282 3.140 0.00229 ** \n", - "lcp -0.104482 0.090478 -1.155 0.25127 \n", - "pgg45 0.005318 0.003433 1.549 0.12488 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7048 on 89 degrees of freedom\n", - "Multiple R-squared: 0.6544,\tAdjusted R-squared: 0.6273 \n", - "F-statistic: 24.08 on 7 and 89 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_3 <- lm (lpsa ~ .-gleason-1, data = prostate)\n", - "summary(mdl1_3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "d6-ubWkDaTi2", - "outputId": "5452e24a-dcb6-4efe-a615-443d23d56bfd" - }, - "execution_count": 35, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason - 1, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.74075 -0.34414 -0.02778 0.44634 1.66824 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "lcavol 0.583447 0.085861 6.795 1.14e-09 ***\n", - "lweight 0.561360 0.136191 4.122 8.35e-05 ***\n", - "age -0.010697 0.008140 -1.314 0.1921 \n", - "lbph 0.075592 0.051067 1.480 0.1423 \n", - "svi 0.744926 0.241456 3.085 0.0027 ** \n", - "lcp -0.107324 0.090606 -1.185 0.2393 \n", - "pgg45 0.005259 0.003438 1.530 0.1296 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.706 on 90 degrees of freedom\n", - "Multiple R-squared: 0.938,\tAdjusted R-squared: 0.9332 \n", - "F-statistic: 194.6 on 7 and 90 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_4 <- lm (lpsa ~ .-gleason-lcp-1, data = prostate)\n", - "summary(mdl1_4)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 399 - }, - "id": "8n46kO0tZuYe", - "outputId": "9b125aee-b00f-437e-c659-280235cfcee3" - }, - "execution_count": 36, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason - lcp - 1, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.78824 -0.38775 -0.01852 0.46156 1.54830 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "lcavol 0.536090 0.076153 7.040 3.54e-10 ***\n", - "lweight 0.565737 0.136442 4.146 7.57e-05 ***\n", - "age -0.008535 0.007950 -1.074 0.28588 \n", - "lbph 0.072718 0.051122 1.422 0.15832 \n", - "svi 0.625252 0.219788 2.845 0.00549 ** \n", - "pgg45 0.003417 0.003073 1.112 0.26911 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7076 on 91 degrees of freedom\n", - "Multiple R-squared: 0.937,\tAdjusted R-squared: 0.9329 \n", - "F-statistic: 225.8 on 6 and 91 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_5 <- lm (lpsa ~ .-gleason-lcp-age-1, data = prostate)\n", - "summary(mdl1_5)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "enNecrPlZ2R7", - "outputId": "3531728d-2bb3-48a3-b33b-c33665bbb4d2" - }, - "execution_count": 37, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason - lcp - age - 1, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.7849 -0.3659 0.0221 0.4889 1.5907 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "lcavol 0.532963 0.076161 6.998 4.12e-10 ***\n", - "lweight 0.423267 0.031706 13.350 < 2e-16 ***\n", - "lbph 0.080258 0.050679 1.584 0.11670 \n", - "svi 0.650832 0.218673 2.976 0.00373 ** \n", - "pgg45 0.002580 0.002975 0.867 0.38805 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7082 on 92 degrees of freedom\n", - "Multiple R-squared: 0.9363,\tAdjusted R-squared: 0.9328 \n", - "F-statistic: 270.2 on 5 and 92 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_6 <- lm (lpsa ~ .-gleason-lcp-pgg45-age-1, data = prostate)\n", - "summary(mdl1_6)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "qTka4zS7Z8Zp", - "outputId": "49735864-4770-449b-daec-707fa34a2ac1" - }, - "execution_count": 38, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason - lcp - pgg45 - age - 1, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.83071 -0.40081 0.03327 0.46199 1.49225 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "lcavol 0.54938 0.07367 7.457 4.55e-11 ***\n", - "lweight 0.43062 0.03051 14.113 < 2e-16 ***\n", - "lbph 0.08419 0.05041 1.670 0.098258 . \n", - "svi 0.70784 0.20828 3.398 0.000999 ***\n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7072 on 93 degrees of freedom\n", - "Multiple R-squared: 0.9357,\tAdjusted R-squared: 0.933 \n", - "F-statistic: 338.5 on 4 and 93 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl1_7 <- lm (lpsa ~ .-gleason-lcp-pgg45-age-lbph-1, data = prostate)\n", - "summary(mdl1_7)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "U9Wwj2oIaEeU", - "outputId": "70f367d9-ea56-4b90-d005-01a9bf417a4c" - }, - "execution_count": 39, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ . - gleason - lcp - pgg45 - age - lbph - \n", - " 1, data = prostate)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-1.70579 -0.48587 -0.01677 0.45844 1.57123 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "lcavol 0.55246 0.07435 7.431 4.9e-11 ***\n", - "lweight 0.43604 0.03063 14.237 < 2e-16 ***\n", - "svi 0.66823 0.20889 3.199 0.00188 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.7139 on 94 degrees of freedom\n", - "Multiple R-squared: 0.9338,\tAdjusted R-squared: 0.9317 \n", - "F-statistic: 442 on 3 and 94 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "#AIC\n", - "mdl2_1 <- lm (lpsa ~ ., data = prostate)\n", - "step(mdl2_1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 1000 - }, - "id": "dNifpjUcbQXu", - "outputId": "bd96418d-b431-468f-dba4-0a1f5777f501" - }, - "execution_count": 40, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Start: AIC=-58.32\n", - "lpsa ~ lcavol + lweight + age + lbph + svi + lcp + gleason + \n", - " pgg45\n", - "\n", - " Df Sum of Sq RSS AIC\n", - "- gleason 1 0.0412 44.204 -60.231\n", - "- pgg45 1 0.5258 44.689 -59.174\n", - "- lcp 1 0.6740 44.837 -58.853\n", - " 44.163 -58.322\n", - "- age 1 1.5503 45.713 -56.975\n", - "- lbph 1 1.6835 45.847 -56.693\n", - "- lweight 1 3.5861 47.749 -52.749\n", - "- svi 1 4.9355 49.099 -50.046\n", - "- lcavol 1 22.3721 66.535 -20.567\n", - "\n", - "Step: AIC=-60.23\n", - "lpsa ~ lcavol + lweight + age + lbph + svi + lcp + pgg45\n", - "\n", - " Df Sum of Sq RSS AIC\n", - "- lcp 1 0.6623 44.867 -60.789\n", - " 44.204 -60.231\n", - "- pgg45 1 1.1920 45.396 -59.650\n", - "- age 1 1.5166 45.721 -58.959\n", - "- lbph 1 1.7053 45.910 -58.560\n", - "- lweight 1 3.5462 47.750 -54.746\n", - "- svi 1 4.8984 49.103 -52.037\n", - "- lcavol 1 23.5039 67.708 -20.872\n", - "\n", - "Step: AIC=-60.79\n", - "lpsa ~ lcavol + lweight + age + lbph + svi + pgg45\n", - "\n", - " Df Sum of Sq RSS AIC\n", - "- pgg45 1 0.6590 45.526 -61.374\n", - " 44.867 -60.789\n", - "- age 1 1.2649 46.131 -60.092\n", - "- lbph 1 1.6465 46.513 -59.293\n", - "- lweight 1 3.5647 48.431 -55.373\n", - "- svi 1 4.2503 49.117 -54.009\n", - "- lcavol 1 25.4189 70.285 -19.248\n", - "\n", - "Step: AIC=-61.37\n", - "lpsa ~ lcavol + lweight + age + lbph + svi\n", - "\n", - " Df Sum of Sq RSS AIC\n", - " 45.526 -61.374\n", - "- age 1 0.9592 46.485 -61.352\n", - "- lbph 1 1.8568 47.382 -59.497\n", - "- lweight 1 3.2251 48.751 -56.735\n", - "- svi 1 5.9517 51.477 -51.456\n", - "- lcavol 1 28.7665 74.292 -15.871\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = lpsa ~ lcavol + lweight + age + lbph + svi, data = prostate)\n", - "\n", - "Coefficients:\n", - "(Intercept) lcavol lweight age lbph svi \n", - " 0.95100 0.56561 0.42369 -0.01489 0.11184 0.72095 \n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Adjusted R^2\n", - "install.packages(\"leaps\")\n", - "library(leaps)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "wJnJW4BVcAHY", - "outputId": "0726fda6-9b99-481c-bd89-b74052ad2b86" - }, - "execution_count": 41, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n" - ] - } - ] - }, - { - "cell_type": "code", - "source": [ - "mdl3_1 <- regsubsets(lpsa ~ ., data= prostate)\n", - "rs<- summary(mdl3_1)\n", - "rs" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "aQxx_OqgcJnw", - "outputId": "576140a9-256f-4c75-c719-6fdd0a42ab07" - }, - "execution_count": 42, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "Subset selection object\n", - "Call: regsubsets.formula(lpsa ~ ., data = prostate)\n", - "8 Variables (and intercept)\n", - " Forced in Forced out\n", - "lcavol FALSE FALSE\n", - "lweight FALSE FALSE\n", - "age FALSE FALSE\n", - "lbph FALSE FALSE\n", - "svi FALSE FALSE\n", - "lcp FALSE FALSE\n", - "gleason FALSE FALSE\n", - "pgg45 FALSE FALSE\n", - "1 subsets of each size up to 8\n", - "Selection Algorithm: exhaustive\n", - " lcavol lweight age lbph svi lcp gleason pgg45\n", - "1 ( 1 ) \"*\" \" \" \" \" \" \" \" \" \" \" \" \" \" \" \n", - "2 ( 1 ) \"*\" \"*\" \" \" \" \" \" \" \" \" \" \" \" \" \n", - "3 ( 1 ) \"*\" \"*\" \" \" \" \" \"*\" \" \" \" \" \" \" \n", - "4 ( 1 ) \"*\" \"*\" \" \" \"*\" \"*\" \" \" \" \" \" \" \n", - "5 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \" \" \" \" \n", - "6 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \" \" \"*\" \n", - "7 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \" \" \"*\" \n", - "8 ( 1 ) \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" \"*\" " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "plot(2:9, rs$Adjusted, xlab = \"No of Parameters\", ylab = \"Adjusted R-squared\")" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "KXBQHyyucoy-", - "outputId": "af6afc0f-698d-46ae-e953-d0e41b26ce6a" - }, - "execution_count": 43, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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oPd05lZfXbVJKSSWq/HdqbXKqnpBIA/Ag0p847o5llz3V5C+qqwbrnaZsue115t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\nBwe8Z/J5yxVWAAAAAElFTkSuQmCC" - }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Mallows\n", - "plot(2:9, rs$cp, xlab = \"No of Parameters\", ylab = \"Cp\")\n", - "abline(0,1)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "tzif5JKbQCz8", - "outputId": "671823bd-6bd5-4482-aea8-0b900ce76aa8" - }, - "execution_count": 44, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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jg+6DrV3wMjJAgp6vW8ZdHl8/kf+Xtg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\n3/TWGU3+q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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "____________________________\n", - "Problem 2" - ], - "metadata": { - "id": "wLIVgu5nQ1In" - } - }, - { - "cell_type": "code", - "source": [ - "data(trees)" - ], - "metadata": { - "id": "Fpzgrs-DQ5p_" - }, - "execution_count": 45, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#Using AIC\n", - "mdl4 = lm(log(Volume) ~polym(Girth, Height, degree = 2), data = trees)\n", - "rs2 <-summary(mdl4)" - ], - "metadata": { - "id": "JpeyIR2ja5JF" - }, - "execution_count": 54, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "rs2" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "id": "6DgJV0JcbYU7", - "outputId": "b3701530-f860-4c31-a4a9-7fb350670c70" - }, - "execution_count": 47, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(Volume) ~ polym(Girth, Height, degree = 2), \n", - " data = trees)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.159718 -0.041905 -0.003371 0.055167 0.133780 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 3.27472 0.02370 138.163 < 2e-16 ***\n", - "polym(Girth, Height, degree = 2)1.0 2.51882 0.11972 21.039 < 2e-16 ***\n", - "polym(Girth, Height, degree = 2)2.0 -0.24312 0.18449 -1.318 0.200 \n", - "polym(Girth, Height, degree = 2)0.1 0.54249 0.11339 4.784 6.52e-05 ***\n", - "polym(Girth, Height, degree = 2)1.1 -0.11845 1.08511 -0.109 0.914 \n", - "polym(Girth, Height, degree = 2)0.2 -0.05025 0.10402 -0.483 0.633 \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.08469 on 25 degrees of freedom\n", - "Multiple R-squared: 0.9784,\tAdjusted R-squared: 0.9741 \n", - "F-statistic: 226.7 on 5 and 25 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "plot(2:6, rs2$cp, xlab = \"No. Parameters\", ylab = \"Cp\")" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 437 - }, - "id": "nljPzGgkbdea", - "outputId": "8065f034-cf82-43d8-85a3-4eb7c3d7afe7" - }, - "execution_count": 48, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "plot without title" - ], - "image/png": 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- }, - "metadata": { - "image/png": { - "width": 420, - "height": 420 - } - } - } - ] - }, - { - "cell_type": "code", - "source": [ - "#Using Mallow\n", - "mdl5 <- lm(log(Volume) ~ Girth + Height + I(Girth^2), data = trees)\n", - "summary(mdl5)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 364 - }, - "id": "rHspAxKvbyuc", - "outputId": "749c242a-c383-4cd9-ae77-9fdaab7e677a" - }, - "execution_count": 49, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = log(Volume) ~ Girth + Height + I(Girth^2), data = trees)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.174348 -0.043284 -0.000147 0.059198 0.138282 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -0.783931 0.315182 -2.487 0.01935 * \n", - "Girth 0.285333 0.040960 6.966 1.74e-07 ***\n", - "Height 0.015701 0.002759 5.690 4.80e-06 ***\n", - "I(Girth^2) -0.004954 0.001435 -3.451 0.00185 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.08208 on 27 degrees of freedom\n", - "Multiple R-squared: 0.9781,\tAdjusted R-squared: 0.9757 \n", - "F-statistic: 402.1 on 3 and 27 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "xUBn7gzab9A3" - }, - "execution_count": 50, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "DyRkFLBLb84O" - }, - "execution_count": 51, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "DoIoHC5Ob8ne" - }, - "execution_count": 52, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "4lSXrgJsbxbS" - }, - "execution_count": 53, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/Stats_500_hw_5_001.ipynb b/Stats_500_hw_5_001.ipynb deleted file mode 100644 index 07101e45..00000000 --- a/Stats_500_hw_5_001.ipynb +++ /dev/null @@ -1,746 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyN7S7NcKDMshVg6230cwKM/", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 5\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "6edd1d89-ddd5-4b48-af33-8319e236e032" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(divusa)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "divusa[0:7,]" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 318 - }, - "id": "8mhhMcndEAy1", - "outputId": "f60140cd-486f-4ecf-d9e9-b65e1e6d0396" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A data.frame: 7 × 7
yeardivorceunemployedfemlabmarriagebirthmilitary
<int><dbl><dbl><dbl><dbl><dbl><dbl>
119208.0 5.222.7092.0117.93.2247
219217.211.722.7983.0119.83.5614
319226.6 6.722.8879.7111.22.4553
419237.1 2.422.9785.2110.52.2065
519247.2 5.023.0680.3110.92.2889
619257.2 3.223.1579.2106.62.1735
719267.5 1.823.2478.7102.62.1073
\n" - ], - "text/markdown": "\nA data.frame: 7 × 7\n\n| | year <int> | divorce <dbl> | unemployed <dbl> | femlab <dbl> | marriage <dbl> | birth <dbl> | military <dbl> |\n|---|---|---|---|---|---|---|---|\n| 1 | 1920 | 8.0 | 5.2 | 22.70 | 92.0 | 117.9 | 3.2247 |\n| 2 | 1921 | 7.2 | 11.7 | 22.79 | 83.0 | 119.8 | 3.5614 |\n| 3 | 1922 | 6.6 | 6.7 | 22.88 | 79.7 | 111.2 | 2.4553 |\n| 4 | 1923 | 7.1 | 2.4 | 22.97 | 85.2 | 110.5 | 2.2065 |\n| 5 | 1924 | 7.2 | 5.0 | 23.06 | 80.3 | 110.9 | 2.2889 |\n| 6 | 1925 | 7.2 | 3.2 | 23.15 | 79.2 | 106.6 | 2.1735 |\n| 7 | 1926 | 7.5 | 1.8 | 23.24 | 78.7 | 102.6 | 2.1073 |\n\n", - "text/latex": "A data.frame: 7 × 7\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n & & & & & & & \\\\\n\\hline\n\t1 & 1920 & 8.0 & 5.2 & 22.70 & 92.0 & 117.9 & 3.2247\\\\\n\t2 & 1921 & 7.2 & 11.7 & 22.79 & 83.0 & 119.8 & 3.5614\\\\\n\t3 & 1922 & 6.6 & 6.7 & 22.88 & 79.7 & 111.2 & 2.4553\\\\\n\t4 & 1923 & 7.1 & 2.4 & 22.97 & 85.2 & 110.5 & 2.2065\\\\\n\t5 & 1924 & 7.2 & 5.0 & 23.06 & 80.3 & 110.9 & 2.2889\\\\\n\t6 & 1925 & 7.2 & 3.2 & 23.15 & 79.2 & 106.6 & 2.1735\\\\\n\t7 & 1926 & 7.5 & 1.8 & 23.24 & 78.7 & 102.6 & 2.1073\\\\\n\\end{tabular}\n", - "text/plain": [ - " year divorce unemployed femlab marriage birth military\n", - "1 1920 8.0 5.2 22.70 92.0 117.9 3.2247 \n", - "2 1921 7.2 11.7 22.79 83.0 119.8 3.5614 \n", - "3 1922 6.6 6.7 22.88 79.7 111.2 2.4553 \n", - "4 1923 7.1 2.4 22.97 85.2 110.5 2.2065 \n", - "5 1924 7.2 5.0 23.06 80.3 110.9 2.2889 \n", - "6 1925 7.2 3.2 23.15 79.2 106.6 2.1735 \n", - "7 1926 7.5 1.8 23.24 78.7 102.6 2.1073 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "#help(divusa)" - ], - "metadata": { - "id": "C9a0KgLUDEv9" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(divorce~ unemployed + femlab + marriage + birth + military , divusa)\n", - "summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "outputId": "12fe5b83-2969-4482-f99c-74854b92d737" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = divorce ~ unemployed + femlab + marriage + birth + \n", - " military, data = divusa)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.8611 -0.8916 -0.0496 0.8650 3.8300 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 2.48784 3.39378 0.733 0.4659 \n", - "unemployed -0.11125 0.05592 -1.989 0.0505 . \n", - "femlab 0.38365 0.03059 12.543 < 2e-16 ***\n", - "marriage 0.11867 0.02441 4.861 6.77e-06 ***\n", - "birth -0.12996 0.01560 -8.333 4.03e-12 ***\n", - "military -0.02673 0.01425 -1.876 0.0647 . \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.65 on 71 degrees of freedom\n", - "Multiple R-squared: 0.9208,\tAdjusted R-squared: 0.9152 \n", - "F-statistic: 165.1 on 5 and 71 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(cor(divusa),2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 286 - }, - "id": "BY7fuS7PDhgM", - "outputId": "eeba2af3-0f55-437a-b80f-6742398f76b7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 7 × 7 of type dbl
yeardivorceunemployedfemlabmarriagebirthmilitary
year 1.00 0.88-0.23 0.99-0.62-0.58 0.01
divorce 0.88 1.00-0.21 0.91-0.53-0.72 0.02
unemployed-0.23-0.21 1.00-0.26-0.27-0.31-0.40
femlab 0.99 0.91-0.26 1.00-0.65-0.60 0.05
marriage-0.62-0.53-0.27-0.65 1.00 0.67 0.26
birth-0.58-0.72-0.31-0.60 0.67 1.00 0.14
military 0.01 0.02-0.40 0.05 0.26 0.14 1.00
\n" - ], - "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | year | divorce | unemployed | femlab | marriage | birth | military |\n|---|---|---|---|---|---|---|---|\n| year | 1.00 | 0.88 | -0.23 | 0.99 | -0.62 | -0.58 | 0.01 |\n| divorce | 0.88 | 1.00 | -0.21 | 0.91 | -0.53 | -0.72 | 0.02 |\n| unemployed | -0.23 | -0.21 | 1.00 | -0.26 | -0.27 | -0.31 | -0.40 |\n| femlab | 0.99 | 0.91 | -0.26 | 1.00 | -0.65 | -0.60 | 0.05 |\n| marriage | -0.62 | -0.53 | -0.27 | -0.65 | 1.00 | 0.67 | 0.26 |\n| birth | -0.58 | -0.72 | -0.31 | -0.60 | 0.67 | 1.00 | 0.14 |\n| military | 0.01 | 0.02 | -0.40 | 0.05 | 0.26 | 0.14 | 1.00 |\n\n", - "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n\\hline\n\tyear & 1.00 & 0.88 & -0.23 & 0.99 & -0.62 & -0.58 & 0.01\\\\\n\tdivorce & 0.88 & 1.00 & -0.21 & 0.91 & -0.53 & -0.72 & 0.02\\\\\n\tunemployed & -0.23 & -0.21 & 1.00 & -0.26 & -0.27 & -0.31 & -0.40\\\\\n\tfemlab & 0.99 & 0.91 & -0.26 & 1.00 & -0.65 & -0.60 & 0.05\\\\\n\tmarriage & -0.62 & -0.53 & -0.27 & -0.65 & 1.00 & 0.67 & 0.26\\\\\n\tbirth & -0.58 & -0.72 & -0.31 & -0.60 & 0.67 & 1.00 & 0.14\\\\\n\tmilitary & 0.01 & 0.02 & -0.40 & 0.05 & 0.26 & 0.14 & 1.00\\\\\n\\end{tabular}\n", - "text/plain": [ - " year divorce unemployed femlab marriage birth military\n", - "year 1.00 0.88 -0.23 0.99 -0.62 -0.58 0.01 \n", - "divorce 0.88 1.00 -0.21 0.91 -0.53 -0.72 0.02 \n", - "unemployed -0.23 -0.21 1.00 -0.26 -0.27 -0.31 -0.40 \n", - "femlab 0.99 0.91 -0.26 1.00 -0.65 -0.60 0.05 \n", - "marriage -0.62 -0.53 -0.27 -0.65 1.00 0.67 0.26 \n", - "birth -0.58 -0.72 -0.31 -0.60 0.67 1.00 0.14 \n", - "military 0.01 0.02 -0.40 0.05 0.26 0.14 1.00 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "We do not see a collinearity among the variables of the model." - ], - "metadata": { - "id": "jVoJ9tsQ1m2Z" - } - }, - { - "cell_type": "code", - "source": [ - "##Condition number\n", - "X <- model.matrix(mdl1)[,-1]\n", - "e <- eigen(t(X) %*% X)\n", - "e$val" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "gCgRmUy6EiJ9", - "outputId": "55bcd6d4-aeb1-4e1b-a1f0-1f458bbf38fb" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1174600.54800538
  2. 21261.7407037959
  3. 16133.8418075074
  4. 6206.1809230216
  5. 1856.8943980144
\n" - ], - "text/markdown": "1. 1174600.54800538\n2. 21261.7407037959\n3. 16133.8418075074\n4. 6206.1809230216\n5. 1856.8943980144\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1174600.54800538\n\\item 21261.7407037959\n\\item 16133.8418075074\n\\item 6206.1809230216\n\\item 1856.8943980144\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1174600.548 21261.741 16133.842 6206.181 1856.894" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(sqrt(e$val[1]/e$val),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "IsjPq9USE5Tb", - "outputId": "3e77be31-14a9-4ce5-b9d7-4ad700a51297" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1
  2. 7.433
  3. 8.532
  4. 13.757
  5. 25.151
\n" - ], - "text/markdown": "1. 1\n2. 7.433\n3. 8.532\n4. 13.757\n5. 25.151\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 7.433\n\\item 8.532\n\\item 13.757\n\\item 25.151\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1.000 7.433 8.532 13.757 25.151" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1** The condition number is 25.151. This states that the collinearity in the model is very low." - ], - "metadata": { - "id": "qJfyICk30NKs" - } - }, - { - "cell_type": "code", - "source": [ - "##Variance Inflation factor\n", - "round(vif(X),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "z-KSwk5OFLY7", - "outputId": "e10c2b62-82dd-41de-b56e-f9dcd91a8aaf" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "
unemployed
2.253
femlab
3.613
marriage
2.865
birth
2.585
military
1.25
\n" - ], - "text/markdown": "unemployed\n: 2.253femlab\n: 3.613marriage\n: 2.865birth\n: 2.585military\n: 1.25\n\n", - "text/latex": "\\begin{description*}\n\\item[unemployed] 2.253\n\\item[femlab] 3.613\n\\item[marriage] 2.865\n\\item[birth] 2.585\n\\item[military] 1.25\n\\end{description*}\n", - "text/plain": [ - "unemployed femlab marriage birth military \n", - " 2.253 3.613 2.865 2.585 1.250 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2** There is a very low collinearity between the predictors. Hence we cannot conclusively say about the significance of the predictors." - ], - "metadata": { - "id": "qAboUqWsF7mb" - } - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.3** The model does not show collinearity. The predictors for \"femlab\", \"marriage\" and \"birth\" are significant for the current model." - ], - "metadata": { - "id": "QHTtkYAq2XMp" - } - }, - { - "cell_type": "markdown", - "source": [ - "________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "pSck8mXAGAwa" - } - }, - { - "cell_type": "code", - "source": [ - "data(longley)" - ], - "metadata": { - "id": "_i8IBbxXGJhK" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#help(longley)" - ], - "metadata": { - "id": "ioi-MXWUGTF6" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(Employed ~ . , data=longley)\n", - "summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "outputId": "34e6e630-0404-4296-ae39-203282593957" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = Employed ~ ., data = longley)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.41011 -0.15767 -0.02816 0.10155 0.45539 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -3.482e+03 8.904e+02 -3.911 0.003560 ** \n", - "GNP.deflator 1.506e-02 8.492e-02 0.177 0.863141 \n", - "GNP -3.582e-02 3.349e-02 -1.070 0.312681 \n", - "Unemployed -2.020e-02 4.884e-03 -4.136 0.002535 ** \n", - "Armed.Forces -1.033e-02 2.143e-03 -4.822 0.000944 ***\n", - "Population -5.110e-02 2.261e-01 -0.226 0.826212 \n", - "Year 1.829e+00 4.555e-01 4.016 0.003037 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.3049 on 9 degrees of freedom\n", - "Multiple R-squared: 0.9955,\tAdjusted R-squared: 0.9925 \n", - "F-statistic: 330.3 on 6 and 9 DF, p-value: 4.984e-10\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "##Condition number\n", - "Y <- model.matrix(mdl2)[,-1]\n", - "e2 <- eigen(t(Y) %*% Y)\n", - "e2$val" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "uxG5ovW-HTcT", - "outputId": "89956677-8e59-44ab-a0d8-8ca9faa3d038" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 66652992.8830627
  2. 209072.969152225
  3. 105355.04774725
  4. 18039.7602023753
  5. 24.5572969930849
  6. 2.01511742187054
\n" - ], - "text/markdown": "1. 66652992.8830627\n2. 209072.969152225\n3. 105355.04774725\n4. 18039.7602023753\n5. 24.5572969930849\n6. 2.01511742187054\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 66652992.8830627\n\\item 209072.969152225\n\\item 105355.04774725\n\\item 18039.7602023753\n\\item 24.5572969930849\n\\item 2.01511742187054\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 6.665299e+07 2.090730e+05 1.053550e+05 1.803976e+04 2.455730e+01\n", - "[6] 2.015117e+00" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(sqrt(e2$val[1]/e2$val),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "oq5IM6bkHtzT", - "outputId": "31e0bb6b-3bf5-4af1-b4fb-078ee9f455a5" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1
  2. 17.855
  3. 25.153
  4. 60.785
  5. 1647.478
  6. 5751.216
\n" - ], - "text/markdown": "1. 1\n2. 17.855\n3. 25.153\n4. 60.785\n5. 1647.478\n6. 5751.216\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 17.855\n\\item 25.153\n\\item 60.785\n\\item 1647.478\n\\item 5751.216\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1.000 17.855 25.153 60.785 1647.478 5751.216" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1** The condition numbers are large stating that the collinearity in the model is high. Also we see that the predictors (except \"Armed.Forces\") are not significant." - ], - "metadata": { - "id": "O-zAnBIX3Zz9" - } - }, - { - "cell_type": "code", - "source": [ - "round(cor(longley),2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 286 - }, - "id": "-A4HAGVCHTlk", - "outputId": "36ee3d4a-c337-4926-c223-2d5ce1f009cc" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 7 × 7 of type dbl
GNP.deflatorGNPUnemployedArmed.ForcesPopulationYearEmployed
GNP.deflator1.000.99 0.62 0.460.980.990.97
GNP0.991.00 0.60 0.450.991.000.98
Unemployed0.620.60 1.00-0.180.690.670.50
Armed.Forces0.460.45-0.18 1.000.360.420.46
Population0.980.99 0.69 0.361.000.990.96
Year0.991.00 0.67 0.420.991.000.97
Employed0.970.98 0.50 0.460.960.971.00
\n" - ], - "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | GNP.deflator | GNP | Unemployed | Armed.Forces | Population | Year | Employed |\n|---|---|---|---|---|---|---|---|\n| GNP.deflator | 1.00 | 0.99 | 0.62 | 0.46 | 0.98 | 0.99 | 0.97 |\n| GNP | 0.99 | 1.00 | 0.60 | 0.45 | 0.99 | 1.00 | 0.98 |\n| Unemployed | 0.62 | 0.60 | 1.00 | -0.18 | 0.69 | 0.67 | 0.50 |\n| Armed.Forces | 0.46 | 0.45 | -0.18 | 1.00 | 0.36 | 0.42 | 0.46 |\n| Population | 0.98 | 0.99 | 0.69 | 0.36 | 1.00 | 0.99 | 0.96 |\n| Year | 0.99 | 1.00 | 0.67 | 0.42 | 0.99 | 1.00 | 0.97 |\n| Employed | 0.97 | 0.98 | 0.50 | 0.46 | 0.96 | 0.97 | 1.00 |\n\n", - "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & GNP.deflator & GNP & Unemployed & Armed.Forces & Population & Year & Employed\\\\\n\\hline\n\tGNP.deflator & 1.00 & 0.99 & 0.62 & 0.46 & 0.98 & 0.99 & 0.97\\\\\n\tGNP & 0.99 & 1.00 & 0.60 & 0.45 & 0.99 & 1.00 & 0.98\\\\\n\tUnemployed & 0.62 & 0.60 & 1.00 & -0.18 & 0.69 & 0.67 & 0.50\\\\\n\tArmed.Forces & 0.46 & 0.45 & -0.18 & 1.00 & 0.36 & 0.42 & 0.46\\\\\n\tPopulation & 0.98 & 0.99 & 0.69 & 0.36 & 1.00 & 0.99 & 0.96\\\\\n\tYear & 0.99 & 1.00 & 0.67 & 0.42 & 0.99 & 1.00 & 0.97\\\\\n\tEmployed & 0.97 & 0.98 & 0.50 & 0.46 & 0.96 & 0.97 & 1.00\\\\\n\\end{tabular}\n", - "text/plain": [ - " GNP.deflator GNP Unemployed Armed.Forces Population Year Employed\n", - "GNP.deflator 1.00 0.99 0.62 0.46 0.98 0.99 0.97 \n", - "GNP 0.99 1.00 0.60 0.45 0.99 1.00 0.98 \n", - "Unemployed 0.62 0.60 1.00 -0.18 0.69 0.67 0.50 \n", - "Armed.Forces 0.46 0.45 -0.18 1.00 0.36 0.42 0.46 \n", - "Population 0.98 0.99 0.69 0.36 1.00 0.99 0.96 \n", - "Year 0.99 1.00 0.67 0.42 0.99 1.00 0.97 \n", - "Employed 0.97 0.98 0.50 0.46 0.96 0.97 1.00 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2** We see that there is high correlation between \"GNP.deflator\", \"GNP\", \"Population\" and \"Year" - ], - "metadata": { - "id": "oYyTgYfI30dy" - } - }, - { - "cell_type": "markdown", - "source": [ - "**And 2.3** The Variance Inflation factors are as follows:" - ], - "metadata": { - "id": "wP45pH9F4k6t" - } - }, - { - "cell_type": "code", - "source": [ - "##Variance Inflation factor\n", - "round(vif(Y),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "vTGs6S3rIIh1", - "outputId": "2c165d9e-d014-4a52-ce44-53b1242b4bfc" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "
GNP.deflator
135.532
GNP
1788.513
Unemployed
33.619
Armed.Forces
3.589
Population
399.151
Year
758.981
\n" - ], - "text/markdown": "GNP.deflator\n: 135.532GNP\n: 1788.513Unemployed\n: 33.619Armed.Forces\n: 3.589Population\n: 399.151Year\n: 758.981\n\n", - "text/latex": "\\begin{description*}\n\\item[GNP.deflator] 135.532\n\\item[GNP] 1788.513\n\\item[Unemployed] 33.619\n\\item[Armed.Forces] 3.589\n\\item[Population] 399.151\n\\item[Year] 758.981\n\\end{description*}\n", - "text/plain": [ - "GNP.deflator GNP Unemployed Armed.Forces Population Year \n", - " 135.532 1788.513 33.619 3.589 399.151 758.981 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "The VIF are large showing greater correlation between predictors." - ], - "metadata": { - "id": "r-XahwmJ4ziA" - } - }, - { - "cell_type": "markdown", - "source": [ - "We drop off \"GNP.deflator\", \"Population\" and \"Year\" variables." - ], - "metadata": { - "id": "bxSat9Wk4jHO" - } - }, - { - "cell_type": "code", - "source": [ - "mdl3 <- lm(Employed ~ longley$GNP+longley$Armed.Forces+longley$Unemployed , data=longley)\n", - "summary(mdl3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "tFjkJ7pQ45N2", - "outputId": "bf40e52b-d6b0-4f84-baf0-000921a199db" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = Employed ~ longley$GNP + longley$Armed.Forces + \n", - " longley$Unemployed, data = longley)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.83085 -0.22306 0.01735 0.10699 1.08090 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 53.306461 0.716342 74.415 < 2e-16 ***\n", - "longley$GNP 0.040788 0.002207 18.485 3.49e-10 ***\n", - "longley$Armed.Forces -0.004828 0.002552 -1.892 0.08286 . \n", - "longley$Unemployed -0.007968 0.002134 -3.734 0.00285 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.4793 on 12 degrees of freedom\n", - "Multiple R-squared: 0.9851,\tAdjusted R-squared: 0.9814 \n", - "F-statistic: 264.4 on 3 and 12 DF, p-value: 3.189e-11\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "The predictors now show greater significance with minor loss of prediction (R^2)." - ], - "metadata": { - "id": "HNC5znTM5yXE" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file diff --git a/Stats_500_hw_5_003.ipynb b/Stats_500_hw_5_003.ipynb deleted file mode 100644 index bf1576b7..00000000 --- a/Stats_500_hw_5_003.ipynb +++ /dev/null @@ -1,789 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [], - "authorship_tag": "ABX9TyMF7oYEtbuCzxJzLHaREUHH", - "include_colab_link": true - }, - "kernelspec": { - "name": "ir", - "display_name": "R" - }, - "language_info": { - "name": "R" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "markdown", - "source": [ - "## **Prathamesh Joshi**\n", - "STATS 500-Hw 5\n", - "\n", - "**Problem 1**" - ], - "metadata": { - "id": "wpEPBhVwCCIq" - } - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_1134O2xBYzq", - "outputId": "6edd1d89-ddd5-4b48-af33-8319e236e032" - }, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "Installing package into ‘/usr/local/lib/R/site-library’\n", - "(as ‘lib’ is unspecified)\n", - "\n", - "also installing the dependencies ‘minqa’, ‘nloptr’, ‘Rcpp’, ‘RcppEigen’, ‘lme4’\n", - "\n", - "\n" - ] - } - ], - "source": [ - "install.packages(\"faraway\")\n", - "library(faraway)" - ] - }, - { - "cell_type": "code", - "source": [ - "data(divusa)" - ], - "metadata": { - "id": "VSMz5dydB2iP" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "divusa[0:7,]" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 318 - }, - "id": "8mhhMcndEAy1", - "outputId": "f60140cd-486f-4ecf-d9e9-b65e1e6d0396" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A data.frame: 7 × 7
yeardivorceunemployedfemlabmarriagebirthmilitary
<int><dbl><dbl><dbl><dbl><dbl><dbl>
119208.0 5.222.7092.0117.93.2247
219217.211.722.7983.0119.83.5614
319226.6 6.722.8879.7111.22.4553
419237.1 2.422.9785.2110.52.2065
519247.2 5.023.0680.3110.92.2889
619257.2 3.223.1579.2106.62.1735
719267.5 1.823.2478.7102.62.1073
\n" - ], - "text/markdown": "\nA data.frame: 7 × 7\n\n| | year <int> | divorce <dbl> | unemployed <dbl> | femlab <dbl> | marriage <dbl> | birth <dbl> | military <dbl> |\n|---|---|---|---|---|---|---|---|\n| 1 | 1920 | 8.0 | 5.2 | 22.70 | 92.0 | 117.9 | 3.2247 |\n| 2 | 1921 | 7.2 | 11.7 | 22.79 | 83.0 | 119.8 | 3.5614 |\n| 3 | 1922 | 6.6 | 6.7 | 22.88 | 79.7 | 111.2 | 2.4553 |\n| 4 | 1923 | 7.1 | 2.4 | 22.97 | 85.2 | 110.5 | 2.2065 |\n| 5 | 1924 | 7.2 | 5.0 | 23.06 | 80.3 | 110.9 | 2.2889 |\n| 6 | 1925 | 7.2 | 3.2 | 23.15 | 79.2 | 106.6 | 2.1735 |\n| 7 | 1926 | 7.5 | 1.8 | 23.24 | 78.7 | 102.6 | 2.1073 |\n\n", - "text/latex": "A data.frame: 7 × 7\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n & & & & & & & \\\\\n\\hline\n\t1 & 1920 & 8.0 & 5.2 & 22.70 & 92.0 & 117.9 & 3.2247\\\\\n\t2 & 1921 & 7.2 & 11.7 & 22.79 & 83.0 & 119.8 & 3.5614\\\\\n\t3 & 1922 & 6.6 & 6.7 & 22.88 & 79.7 & 111.2 & 2.4553\\\\\n\t4 & 1923 & 7.1 & 2.4 & 22.97 & 85.2 & 110.5 & 2.2065\\\\\n\t5 & 1924 & 7.2 & 5.0 & 23.06 & 80.3 & 110.9 & 2.2889\\\\\n\t6 & 1925 & 7.2 & 3.2 & 23.15 & 79.2 & 106.6 & 2.1735\\\\\n\t7 & 1926 & 7.5 & 1.8 & 23.24 & 78.7 & 102.6 & 2.1073\\\\\n\\end{tabular}\n", - "text/plain": [ - " year divorce unemployed femlab marriage birth military\n", - "1 1920 8.0 5.2 22.70 92.0 117.9 3.2247 \n", - "2 1921 7.2 11.7 22.79 83.0 119.8 3.5614 \n", - "3 1922 6.6 6.7 22.88 79.7 111.2 2.4553 \n", - "4 1923 7.1 2.4 22.97 85.2 110.5 2.2065 \n", - "5 1924 7.2 5.0 23.06 80.3 110.9 2.2889 \n", - "6 1925 7.2 3.2 23.15 79.2 106.6 2.1735 \n", - "7 1926 7.5 1.8 23.24 78.7 102.6 2.1073 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "#help(divusa)" - ], - "metadata": { - "id": "C9a0KgLUDEv9" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl1 <- lm(divorce~ unemployed + femlab + marriage + birth + military , divusa)\n", - "summary(mdl1)" - ], - "metadata": { - "id": "2J2ALsg3DL0x", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "outputId": "12fe5b83-2969-4482-f99c-74854b92d737" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = divorce ~ unemployed + femlab + marriage + birth + \n", - " military, data = divusa)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-3.8611 -0.8916 -0.0496 0.8650 3.8300 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 2.48784 3.39378 0.733 0.4659 \n", - "unemployed -0.11125 0.05592 -1.989 0.0505 . \n", - "femlab 0.38365 0.03059 12.543 < 2e-16 ***\n", - "marriage 0.11867 0.02441 4.861 6.77e-06 ***\n", - "birth -0.12996 0.01560 -8.333 4.03e-12 ***\n", - "military -0.02673 0.01425 -1.876 0.0647 . \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 1.65 on 71 degrees of freedom\n", - "Multiple R-squared: 0.9208,\tAdjusted R-squared: 0.9152 \n", - "F-statistic: 165.1 on 5 and 71 DF, p-value: < 2.2e-16\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(cor(divusa),2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 286 - }, - "id": "BY7fuS7PDhgM", - "outputId": "eeba2af3-0f55-437a-b80f-6742398f76b7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 7 × 7 of type dbl
yeardivorceunemployedfemlabmarriagebirthmilitary
year 1.00 0.88-0.23 0.99-0.62-0.58 0.01
divorce 0.88 1.00-0.21 0.91-0.53-0.72 0.02
unemployed-0.23-0.21 1.00-0.26-0.27-0.31-0.40
femlab 0.99 0.91-0.26 1.00-0.65-0.60 0.05
marriage-0.62-0.53-0.27-0.65 1.00 0.67 0.26
birth-0.58-0.72-0.31-0.60 0.67 1.00 0.14
military 0.01 0.02-0.40 0.05 0.26 0.14 1.00
\n" - ], - "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | year | divorce | unemployed | femlab | marriage | birth | military |\n|---|---|---|---|---|---|---|---|\n| year | 1.00 | 0.88 | -0.23 | 0.99 | -0.62 | -0.58 | 0.01 |\n| divorce | 0.88 | 1.00 | -0.21 | 0.91 | -0.53 | -0.72 | 0.02 |\n| unemployed | -0.23 | -0.21 | 1.00 | -0.26 | -0.27 | -0.31 | -0.40 |\n| femlab | 0.99 | 0.91 | -0.26 | 1.00 | -0.65 | -0.60 | 0.05 |\n| marriage | -0.62 | -0.53 | -0.27 | -0.65 | 1.00 | 0.67 | 0.26 |\n| birth | -0.58 | -0.72 | -0.31 | -0.60 | 0.67 | 1.00 | 0.14 |\n| military | 0.01 | 0.02 | -0.40 | 0.05 | 0.26 | 0.14 | 1.00 |\n\n", - "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & year & divorce & unemployed & femlab & marriage & birth & military\\\\\n\\hline\n\tyear & 1.00 & 0.88 & -0.23 & 0.99 & -0.62 & -0.58 & 0.01\\\\\n\tdivorce & 0.88 & 1.00 & -0.21 & 0.91 & -0.53 & -0.72 & 0.02\\\\\n\tunemployed & -0.23 & -0.21 & 1.00 & -0.26 & -0.27 & -0.31 & -0.40\\\\\n\tfemlab & 0.99 & 0.91 & -0.26 & 1.00 & -0.65 & -0.60 & 0.05\\\\\n\tmarriage & -0.62 & -0.53 & -0.27 & -0.65 & 1.00 & 0.67 & 0.26\\\\\n\tbirth & -0.58 & -0.72 & -0.31 & -0.60 & 0.67 & 1.00 & 0.14\\\\\n\tmilitary & 0.01 & 0.02 & -0.40 & 0.05 & 0.26 & 0.14 & 1.00\\\\\n\\end{tabular}\n", - "text/plain": [ - " year divorce unemployed femlab marriage birth military\n", - "year 1.00 0.88 -0.23 0.99 -0.62 -0.58 0.01 \n", - "divorce 0.88 1.00 -0.21 0.91 -0.53 -0.72 0.02 \n", - "unemployed -0.23 -0.21 1.00 -0.26 -0.27 -0.31 -0.40 \n", - "femlab 0.99 0.91 -0.26 1.00 -0.65 -0.60 0.05 \n", - "marriage -0.62 -0.53 -0.27 -0.65 1.00 0.67 0.26 \n", - "birth -0.58 -0.72 -0.31 -0.60 0.67 1.00 0.14 \n", - "military 0.01 0.02 -0.40 0.05 0.26 0.14 1.00 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "We do not see a collinearity among the variables of the model." - ], - "metadata": { - "id": "jVoJ9tsQ1m2Z" - } - }, - { - "cell_type": "code", - "source": [ - "##Condition number\n", - "X <- model.matrix(mdl1)[,-1]\n", - "e <- eigen(t(X) %*% X)\n", - "e$val" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "gCgRmUy6EiJ9", - "outputId": "55bcd6d4-aeb1-4e1b-a1f0-1f458bbf38fb" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1174600.54800538
  2. 21261.7407037959
  3. 16133.8418075074
  4. 6206.1809230216
  5. 1856.8943980144
\n" - ], - "text/markdown": "1. 1174600.54800538\n2. 21261.7407037959\n3. 16133.8418075074\n4. 6206.1809230216\n5. 1856.8943980144\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1174600.54800538\n\\item 21261.7407037959\n\\item 16133.8418075074\n\\item 6206.1809230216\n\\item 1856.8943980144\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1174600.548 21261.741 16133.842 6206.181 1856.894" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(sqrt(e$val[1]/e$val),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "IsjPq9USE5Tb", - "outputId": "3e77be31-14a9-4ce5-b9d7-4ad700a51297" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1
  2. 7.433
  3. 8.532
  4. 13.757
  5. 25.151
\n" - ], - "text/markdown": "1. 1\n2. 7.433\n3. 8.532\n4. 13.757\n5. 25.151\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 7.433\n\\item 8.532\n\\item 13.757\n\\item 25.151\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1.000 7.433 8.532 13.757 25.151" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.1** The condition number is 25.151. This states that the collinearity in the model is very low." - ], - "metadata": { - "id": "qJfyICk30NKs" - } - }, - { - "cell_type": "code", - "source": [ - "##Variance Inflation factor\n", - "round(vif(X),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "z-KSwk5OFLY7", - "outputId": "e10c2b62-82dd-41de-b56e-f9dcd91a8aaf" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "
unemployed
2.253
femlab
3.613
marriage
2.865
birth
2.585
military
1.25
\n" - ], - "text/markdown": "unemployed\n: 2.253femlab\n: 3.613marriage\n: 2.865birth\n: 2.585military\n: 1.25\n\n", - "text/latex": "\\begin{description*}\n\\item[unemployed] 2.253\n\\item[femlab] 3.613\n\\item[marriage] 2.865\n\\item[birth] 2.585\n\\item[military] 1.25\n\\end{description*}\n", - "text/plain": [ - "unemployed femlab marriage birth military \n", - " 2.253 3.613 2.865 2.585 1.250 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.2** There is a very low collinearity between the predictors. Hence we cannot conclusively say about the significance of the predictors." - ], - "metadata": { - "id": "qAboUqWsF7mb" - } - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 1.3** The model does not show collinearity. The predictors for \"femlab\", \"marriage\" and \"birth\" are significant for the current model." - ], - "metadata": { - "id": "QHTtkYAq2XMp" - } - }, - { - "cell_type": "markdown", - "source": [ - "________________________\n", - "**Problem 2**" - ], - "metadata": { - "id": "pSck8mXAGAwa" - } - }, - { - "cell_type": "code", - "source": [ - "data(longley)" - ], - "metadata": { - "id": "_i8IBbxXGJhK" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "#help(longley)" - ], - "metadata": { - "id": "ioi-MXWUGTF6" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "mdl2 <- lm(Employed ~ . , data=longley)\n", - "summary(mdl2)" - ], - "metadata": { - "id": "H2oqDqweD8je", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 416 - }, - "outputId": "34e6e630-0404-4296-ae39-203282593957" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = Employed ~ ., data = longley)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.41011 -0.15767 -0.02816 0.10155 0.45539 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) -3.482e+03 8.904e+02 -3.911 0.003560 ** \n", - "GNP.deflator 1.506e-02 8.492e-02 0.177 0.863141 \n", - "GNP -3.582e-02 3.349e-02 -1.070 0.312681 \n", - "Unemployed -2.020e-02 4.884e-03 -4.136 0.002535 ** \n", - "Armed.Forces -1.033e-02 2.143e-03 -4.822 0.000944 ***\n", - "Population -5.110e-02 2.261e-01 -0.226 0.826212 \n", - "Year 1.829e+00 4.555e-01 4.016 0.003037 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.3049 on 9 degrees of freedom\n", - "Multiple R-squared: 0.9955,\tAdjusted R-squared: 0.9925 \n", - "F-statistic: 330.3 on 6 and 9 DF, p-value: 4.984e-10\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "##Condition number\n", - "Y <- model.matrix(mdl2)[,-1]\n", - "e2 <- eigen(t(Y) %*% Y)\n", - "e2$val" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "uxG5ovW-HTcT", - "outputId": "89956677-8e59-44ab-a0d8-8ca9faa3d038" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 66652992.8830627
  2. 209072.969152225
  3. 105355.04774725
  4. 18039.7602023753
  5. 24.5572969930849
  6. 2.01511742187054
\n" - ], - "text/markdown": "1. 66652992.8830627\n2. 209072.969152225\n3. 105355.04774725\n4. 18039.7602023753\n5. 24.5572969930849\n6. 2.01511742187054\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 66652992.8830627\n\\item 209072.969152225\n\\item 105355.04774725\n\\item 18039.7602023753\n\\item 24.5572969930849\n\\item 2.01511742187054\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 6.665299e+07 2.090730e+05 1.053550e+05 1.803976e+04 2.455730e+01\n", - "[6] 2.015117e+00" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "code", - "source": [ - "round(sqrt(e2$val[1]/e2$val),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "oq5IM6bkHtzT", - "outputId": "31e0bb6b-3bf5-4af1-b4fb-078ee9f455a5" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "
  1. 1
  2. 17.855
  3. 25.153
  4. 60.785
  5. 1647.478
  6. 5751.216
\n" - ], - "text/markdown": "1. 1\n2. 17.855\n3. 25.153\n4. 60.785\n5. 1647.478\n6. 5751.216\n\n\n", - "text/latex": "\\begin{enumerate*}\n\\item 1\n\\item 17.855\n\\item 25.153\n\\item 60.785\n\\item 1647.478\n\\item 5751.216\n\\end{enumerate*}\n", - "text/plain": [ - "[1] 1.000 17.855 25.153 60.785 1647.478 5751.216" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.1** The condition numbers are large stating that the collinearity in the model is high. Also we see that the predictors (except \"Armed.Forces\") are not significant." - ], - "metadata": { - "id": "O-zAnBIX3Zz9" - } - }, - { - "cell_type": "code", - "source": [ - "round(cor(longley),2)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 286 - }, - "id": "-A4HAGVCHTlk", - "outputId": "36ee3d4a-c337-4926-c223-2d5ce1f009cc" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\n", - "
A matrix: 7 × 7 of type dbl
GNP.deflatorGNPUnemployedArmed.ForcesPopulationYearEmployed
GNP.deflator1.000.99 0.62 0.460.980.990.97
GNP0.991.00 0.60 0.450.991.000.98
Unemployed0.620.60 1.00-0.180.690.670.50
Armed.Forces0.460.45-0.18 1.000.360.420.46
Population0.980.99 0.69 0.361.000.990.96
Year0.991.00 0.67 0.420.991.000.97
Employed0.970.98 0.50 0.460.960.971.00
\n" - ], - "text/markdown": "\nA matrix: 7 × 7 of type dbl\n\n| | GNP.deflator | GNP | Unemployed | Armed.Forces | Population | Year | Employed |\n|---|---|---|---|---|---|---|---|\n| GNP.deflator | 1.00 | 0.99 | 0.62 | 0.46 | 0.98 | 0.99 | 0.97 |\n| GNP | 0.99 | 1.00 | 0.60 | 0.45 | 0.99 | 1.00 | 0.98 |\n| Unemployed | 0.62 | 0.60 | 1.00 | -0.18 | 0.69 | 0.67 | 0.50 |\n| Armed.Forces | 0.46 | 0.45 | -0.18 | 1.00 | 0.36 | 0.42 | 0.46 |\n| Population | 0.98 | 0.99 | 0.69 | 0.36 | 1.00 | 0.99 | 0.96 |\n| Year | 0.99 | 1.00 | 0.67 | 0.42 | 0.99 | 1.00 | 0.97 |\n| Employed | 0.97 | 0.98 | 0.50 | 0.46 | 0.96 | 0.97 | 1.00 |\n\n", - "text/latex": "A matrix: 7 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n & GNP.deflator & GNP & Unemployed & Armed.Forces & Population & Year & Employed\\\\\n\\hline\n\tGNP.deflator & 1.00 & 0.99 & 0.62 & 0.46 & 0.98 & 0.99 & 0.97\\\\\n\tGNP & 0.99 & 1.00 & 0.60 & 0.45 & 0.99 & 1.00 & 0.98\\\\\n\tUnemployed & 0.62 & 0.60 & 1.00 & -0.18 & 0.69 & 0.67 & 0.50\\\\\n\tArmed.Forces & 0.46 & 0.45 & -0.18 & 1.00 & 0.36 & 0.42 & 0.46\\\\\n\tPopulation & 0.98 & 0.99 & 0.69 & 0.36 & 1.00 & 0.99 & 0.96\\\\\n\tYear & 0.99 & 1.00 & 0.67 & 0.42 & 0.99 & 1.00 & 0.97\\\\\n\tEmployed & 0.97 & 0.98 & 0.50 & 0.46 & 0.96 & 0.97 & 1.00\\\\\n\\end{tabular}\n", - "text/plain": [ - " GNP.deflator GNP Unemployed Armed.Forces Population Year Employed\n", - "GNP.deflator 1.00 0.99 0.62 0.46 0.98 0.99 0.97 \n", - "GNP 0.99 1.00 0.60 0.45 0.99 1.00 0.98 \n", - "Unemployed 0.62 0.60 1.00 -0.18 0.69 0.67 0.50 \n", - "Armed.Forces 0.46 0.45 -0.18 1.00 0.36 0.42 0.46 \n", - "Population 0.98 0.99 0.69 0.36 1.00 0.99 0.96 \n", - "Year 0.99 1.00 0.67 0.42 0.99 1.00 0.97 \n", - "Employed 0.97 0.98 0.50 0.46 0.96 0.97 1.00 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "**Ans 2.2** We see that there is high correlation between \"GNP.deflator\", \"GNP\", \"Population\" and \"Year" - ], - "metadata": { - "id": "oYyTgYfI30dy" - } - }, - { - "cell_type": "markdown", - "source": [ - "**And 2.3** The Variance Inflation factors are as follows:" - ], - "metadata": { - "id": "wP45pH9F4k6t" - } - }, - { - "cell_type": "code", - "source": [ - "##Variance Inflation factor\n", - "round(vif(Y),3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 34 - }, - "id": "vTGs6S3rIIh1", - "outputId": "2c165d9e-d014-4a52-ce44-53b1242b4bfc" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "
GNP.deflator
135.532
GNP
1788.513
Unemployed
33.619
Armed.Forces
3.589
Population
399.151
Year
758.981
\n" - ], - "text/markdown": "GNP.deflator\n: 135.532GNP\n: 1788.513Unemployed\n: 33.619Armed.Forces\n: 3.589Population\n: 399.151Year\n: 758.981\n\n", - "text/latex": "\\begin{description*}\n\\item[GNP.deflator] 135.532\n\\item[GNP] 1788.513\n\\item[Unemployed] 33.619\n\\item[Armed.Forces] 3.589\n\\item[Population] 399.151\n\\item[Year] 758.981\n\\end{description*}\n", - "text/plain": [ - "GNP.deflator GNP Unemployed Armed.Forces Population Year \n", - " 135.532 1788.513 33.619 3.589 399.151 758.981 " - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "The VIF are large showing greater correlation between predictors." - ], - "metadata": { - "id": "r-XahwmJ4ziA" - } - }, - { - "cell_type": "markdown", - "source": [ - "We drop off \"GNP.deflator\", \"Population\" and \"Year\" variables." - ], - "metadata": { - "id": "bxSat9Wk4jHO" - } - }, - { - "cell_type": "code", - "source": [ - "mdl3 <- lm(Employed ~ longley$GNP+longley$Armed.Forces+longley$Unemployed , data=longley)\n", - "summary(mdl3)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 381 - }, - "id": "tFjkJ7pQ45N2", - "outputId": "bf40e52b-d6b0-4f84-baf0-000921a199db" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "\n", - "Call:\n", - "lm(formula = Employed ~ longley$GNP + longley$Armed.Forces + \n", - " longley$Unemployed, data = longley)\n", - "\n", - "Residuals:\n", - " Min 1Q Median 3Q Max \n", - "-0.83085 -0.22306 0.01735 0.10699 1.08090 \n", - "\n", - "Coefficients:\n", - " Estimate Std. Error t value Pr(>|t|) \n", - "(Intercept) 53.306461 0.716342 74.415 < 2e-16 ***\n", - "longley$GNP 0.040788 0.002207 18.485 3.49e-10 ***\n", - "longley$Armed.Forces -0.004828 0.002552 -1.892 0.08286 . \n", - "longley$Unemployed -0.007968 0.002134 -3.734 0.00285 ** \n", - "---\n", - "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", - "\n", - "Residual standard error: 0.4793 on 12 degrees of freedom\n", - "Multiple R-squared: 0.9851,\tAdjusted R-squared: 0.9814 \n", - "F-statistic: 264.4 on 3 and 12 DF, p-value: 3.189e-11\n" - ] - }, - "metadata": {} - } - ] - }, - { - "cell_type": "markdown", - "source": [ - "The predictors now show greater significance with minor loss of prediction (R^2)." - ], - "metadata": { - "id": "NQojmYWjhGV6" - } - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "HNC5znTM5yXE" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "QA50irzxg8sC" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "k2--UvsEg8kf" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "L9MQRs57g8cb" - }, - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "source": [], - "metadata": { - "id": "6l8E2V7Lg8R_" - }, - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file