From a23f8dfc5812aa063522f2119f3c0b1a5d7fe34d Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 19 Dec 2023 14:20:30 -0700 Subject: [PATCH] vault backup: 2023-12-19 14:20:30 --- education/statistics/Correlation and Regression.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/education/statistics/Correlation and Regression.md b/education/statistics/Correlation and Regression.md index 722d99d..f05cfa4 100644 --- a/education/statistics/Correlation and Regression.md +++ b/education/statistics/Correlation and Regression.md @@ -97,6 +97,8 @@ $$ \hat{y} = \frac{x-\bar{x}}{\sigma_x} * r * \sigma_y + \bar{y} $$ 4. Add the average of $y$ - For a positive association, for every $\sigma_x$ above average we are in $x$, the line predicts $y$ to be $\sigma_y$ standard deviations above y.x +- There are two separate regression lines, one for predicting $y$ from $x$, and one for predicting $x$ from $y$ +- Do not extrapolate outside of the graph ### The Regression Effect - In a test-retest situation, people with low scores tend to improve, and people with high scores tend to do worse. This means that individuals score closer to the average as they retest. - The regression *fallacy* is contributing this to something other than chance error.