20260123 - clarifications

Author: isaactpetersen

correlation.qmd

@@ -59,8 +59,9 @@ If the correlation coefficient is positive, the association is positive.\index{c
 If the correlation coefficient is negative, the association is negative.\index{correlation}
 If the association is positive, as `X` increases, `Y` increases (or conversely, as `X` decreases, `Y` decreases).\index{correlation}
 If the association is negative, as `X` increases, `Y` decreases (or conversely, as `X` decreases, `Y` increases).\index{correlation}
-The smaller the absolute value of the correlation coefficient (i.e., the closer the $r$ value is to zero), the weaker the association and the flatter the slope of the best-fit line in a scatterplot.\index{correlation}
-The larger the absolute value of the correlation coefficient (i.e., the closer the absolute value of the $r$ value is to one), the stronger the association.\index{correlation}
+The smaller the absolute value of the correlation coefficient (i.e., the closer the $r$ value is to zero), the weaker the association and the flatter the standardized slope of the best-fit line in a scatterplot.\index{correlation}
+The larger the absolute value of the correlation coefficient (i.e., the closer the absolute value of the $r$ value is to one), the stronger the association and the steeper the standardized slope of the best-fit line.\index{correlation}
+However, the correlation coefficient does not reflect the *unstandardized* slope of the best-fit line.\index{correlation}
 See @fig-rangeOfCorrelations for a range of different correlation coefficients and what some example data may look like for each direction and strength of association.\index{correlation}
 
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