vault backup: 2024-01-03 14:37:12

education/statistics/Correlation and Regression.md

@@ -83,7 +83,7 @@ Given a scatter diagram where the average of each set lies on the point $(75, 70
 ### The Regression Line/Least Squared Regression Line (LSRL)
 - This line has a more moderate slope than the SD line. it does not go through the peaks of the "football"
 - Predictions can only be made if the data displays a linear association (is a football shape).
-- The regression line is *used to predict* the y variable when the x variable is given
+- The regression line is *used to predict* the y variable when the x variable is given. It should only be relied on if it is a controlled experiment, observational studies have too many confounding factors.
 - In regression, the $x$ variable is the known variable, and $y$ is the value being solved for.
 - The regression line goes through the point of averages, and can be positive or negative
 $$ slope = r(\frac{\sigma_y}{\sigma_x}) $$