@@ -144,6 +144,29 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
144144 Given input column Y and X: regr_slope(Y, X) returns the slope (k in Y = k*X + b) using minimal RSS fitting.",
145145
146146 "regr_slope(expression_y, expression_x)" )
147+ . with_sql_example (
148+ r#"```sql
149+ create table weekly_performance(day int, user_signups int) as values (1,60), (2,65), (3, 70), (4,75), (5,80);
150+ select * from weekly_performance;
151+ +-----+--------------+
152+ | day | user_signups |
153+ +-----+--------------+
154+ | 1 | 60 |
155+ | 2 | 65 |
156+ | 3 | 70 |
157+ | 4 | 75 |
158+ | 5 | 80 |
159+ +-----+--------------+
160+
161+ SELECT regr_slope(user_signups, day) AS slope FROM weekly_performance;
162+ +--------+
163+ | slope |
164+ +--------+
165+ | 5.0 |
166+ +--------+
167+ ```
168+ "#
169+ )
147170 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
148171 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
149172 . build ( )
@@ -157,6 +180,30 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
157180 this function returns b.",
158181
159182 "regr_intercept(expression_y, expression_x)" )
183+ . with_sql_example (
184+ r#"```sql
185+ create table weekly_performance(week int, productivity_score int) as values (1,60), (2,65), (3, 70), (4,75), (5,80);
186+ select * from weekly_performance;
187+ +------+---------------------+
188+ | week | productivity_score |
189+ | ---- | ------------------- |
190+ | 1 | 60 |
191+ | 2 | 65 |
192+ | 3 | 70 |
193+ | 4 | 75 |
194+ | 5 | 80 |
195+ +------+---------------------+
196+
197+ SELECT regr_intercept(productivity_score, week) AS intercept FROM weekly_performance;
198+ +----------+
199+ |intercept|
200+ |intercept |
201+ +----------+
202+ | 55 |
203+ +----------+
204+ ```
205+ "#
206+ )
160207 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
161208 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
162209 . build ( )
@@ -169,6 +216,29 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
169216 "Counts the number of non-null paired data points." ,
170217 "regr_count(expression_y, expression_x)" ,
171218 )
219+ . with_sql_example (
220+ r#"```sql
221+ create table daily_metrics(day int, user_signups int) as values (1,100), (2,120), (3, NULL), (4,110), (5,NULL);
222+ select * from daily_metrics;
223+ +-----+---------------+
224+ | day | user_signups |
225+ | --- | ------------- |
226+ | 1 | 100 |
227+ | 2 | 120 |
228+ | 3 | NULL |
229+ | 4 | 110 |
230+ | 5 | NULL |
231+ +-----+---------------+
232+
233+ SELECT regr_count(user_signups, day) AS valid_pairs FROM daily_metrics;
234+ +-------------+
235+ | valid_pairs |
236+ +-------------+
237+ | 3 |
238+ +-------------+
239+ ```
240+ "#
241+ )
172242 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
173243 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
174244 . build ( ) ,
@@ -181,6 +251,29 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
181251 "Computes the square of the correlation coefficient between the independent and dependent variables." ,
182252
183253 "regr_r2(expression_y, expression_x)" )
254+ . with_sql_example (
255+ r#"```sql
256+ create table weekly_performance(day int ,user_signups int) as values (1,60), (2,65), (3, 70), (4,75), (5,80);
257+ select * from weekly_performance;
258+ +-----+--------------+
259+ | day | user_signups |
260+ +-----+--------------+
261+ | 1 | 60 |
262+ | 2 | 65 |
263+ | 3 | 70 |
264+ | 4 | 75 |
265+ | 5 | 80 |
266+ +-----+--------------+
267+
268+ SELECT regr_r2(user_signups, day) AS r_squared FROM weekly_performance;
269+ +---------+
270+ |r_squared|
271+ +---------+
272+ | 1.0 |
273+ +---------+
274+ ```
275+ "#
276+ )
184277 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
185278 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
186279 . build ( )
@@ -193,6 +286,29 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
193286 "Computes the average of the independent variable (input) expression_x for the non-null paired data points." ,
194287
195288 "regr_avgx(expression_y, expression_x)" )
289+ . with_sql_example (
290+ r#"```sql
291+ create table daily_sales(day int, total_sales int) as values (1,100), (2,150), (3,200), (4,NULL), (5,250);
292+ select * from daily_sales;
293+ +-----+-------------+
294+ | day | total_sales |
295+ | --- | ----------- |
296+ | 1 | 100 |
297+ | 2 | 150 |
298+ | 3 | 200 |
299+ | 4 | NULL |
300+ | 5 | 250 |
301+ +-----+-------------+
302+
303+ SELECT regr_avgx(total_sales, day) AS avg_day FROM daily_sales;
304+ +----------+
305+ | avg_day |
306+ +----------+
307+ | 2.75 |
308+ +----------+
309+ ```
310+ "#
311+ )
196312 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
197313 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
198314 . build ( )
@@ -205,6 +321,30 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
205321 "Computes the average of the dependent variable (output) expression_y for the non-null paired data points." ,
206322
207323 "regr_avgy(expression_y, expression_x)" )
324+ . with_sql_example (
325+ r#"```sql
326+ create table daily_temperature(day int, temperature int) as values (1,30), (2,32), (3, NULL), (4,35), (5,36);
327+ select * from daily_temperature;
328+ +-----+-------------+
329+ | day | temperature |
330+ | --- | ----------- |
331+ | 1 | 30 |
332+ | 2 | 32 |
333+ | 3 | NULL |
334+ | 4 | 35 |
335+ | 5 | 36 |
336+ +-----+-------------+
337+
338+ -- temperature as Dependent Variable(Y), day as Independent Variable(X)
339+ SELECT regr_avgy(temperature, day) AS avg_temperature FROM daily_temperature;
340+ +-----------------+
341+ | avg_temperature |
342+ +-----------------+
343+ | 33.25 |
344+ +-----------------+
345+ ```
346+ "#
347+ )
208348 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
209349 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
210350 . build ( )
@@ -217,6 +357,29 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
217357 "Computes the sum of squares of the independent variable." ,
218358 "regr_sxx(expression_y, expression_x)" ,
219359 )
360+ . with_sql_example (
361+ r#"```sql
362+ create table study_hours(student_id int, hours int, test_score int) as values (1,2,55), (2,4,65), (3,6,75), (4,8,85), (5,10,95);
363+ select * from study_hours;
364+ +------------+-------+------------+
365+ | student_id | hours | test_score |
366+ +------------+-------+------------+
367+ | 1 | 2 | 55 |
368+ | 2 | 4 | 65 |
369+ | 3 | 6 | 75 |
370+ | 4 | 8 | 85 |
371+ | 5 | 10 | 95 |
372+ +------------+-------+------------+
373+
374+ SELECT regr_sxx(test_score, hours) AS sxx FROM study_hours;
375+ +------+
376+ | sxx |
377+ +------+
378+ | 40.0 |
379+ +------+
380+ ```
381+ "#
382+ )
220383 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
221384 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
222385 . build ( ) ,
@@ -229,6 +392,27 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
229392 "Computes the sum of squares of the dependent variable." ,
230393 "regr_syy(expression_y, expression_x)" ,
231394 )
395+ . with_sql_example (
396+ r#"```sql
397+ create table employee_productivity(week int, productivity_score int) as values (1,60), (2,65), (3,70);
398+ select * from employee_productivity;
399+ +------+--------------------+
400+ | week | productivity_score |
401+ +------+--------------------+
402+ | 1 | 60 |
403+ | 2 | 65 |
404+ | 3 | 70 |
405+ +------+--------------------+
406+
407+ SELECT regr_syy(productivity_score, week) AS sum_squares_y FROM employee_productivity;
408+ +---------------+
409+ | sum_squares_y |
410+ +---------------+
411+ | 50.0 |
412+ +---------------+
413+ ```
414+ "#
415+ )
232416 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
233417 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
234418 . build ( ) ,
@@ -241,6 +425,27 @@ static DOCUMENTATION: LazyLock<HashMap<RegrType, Documentation>> = LazyLock::new
241425 "Computes the sum of products of paired data points." ,
242426 "regr_sxy(expression_y, expression_x)" ,
243427 )
428+ . with_sql_example (
429+ r#"```sql
430+ create table employee_productivity(week int, productivity_score int) as values(1,60), (2,65), (3,70);
431+ select * from employee_productivity;
432+ +------+--------------------+
433+ | week | productivity_score |
434+ +------+--------------------+
435+ | 1 | 60 |
436+ | 2 | 65 |
437+ | 3 | 70 |
438+ +------+--------------------+
439+
440+ SELECT regr_sxy(productivity_score, week) AS sum_product_deviations FROM employee_productivity;
441+ +------------------------+
442+ | sum_product_deviations |
443+ +------------------------+
444+ | 10.0 |
445+ +------------------------+
446+ ```
447+ "#
448+ )
244449 . with_standard_argument ( "expression_y" , Some ( "Dependent variable" ) )
245450 . with_standard_argument ( "expression_x" , Some ( "Independent variable" ) )
246451 . build ( ) ,
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