From 9f9e57138c111d039e21d14141992752dea1a78a Mon Sep 17 00:00:00 2001 From: zleyyij Date: Fri, 15 Dec 2023 13:09:23 -0700 Subject: [PATCH] vault backup: 2023-12-15 13:09:23 --- education/statistics/Correlation and Regression.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/education/statistics/Correlation and Regression.md b/education/statistics/Correlation and Regression.md index ac3cd55..e35e119 100644 --- a/education/statistics/Correlation and Regression.md +++ b/education/statistics/Correlation and Regression.md @@ -76,5 +76,11 @@ $$\pm \frac{\sigma_y}{\sigma_x}$$ - It'll go through the middle of the "football" - $(ave_x, ave_y)$ is on the line - Visually looks like a line of best fit +- The SD line is not used for prediction because it overpredicts - Someone who is *exactly on* the SD line is the same number of SDs above or below the average in the y axis as they are in the x axis. -Given a scatter diagram where the average of each set lies on the point $(75, 70)$, with a $\sigma_x$ of 10 and a $\sigma_y$ of 12, you can graph the SD line by going up $\sigma_y$ and right $\sigma_x$, then connecting that point (in this example, $(85, 82)$) with the mean points. \ No newline at end of file +Given a scatter diagram where the average of each set lies on the point $(75, 70)$, with a $\sigma_x$ of 10 and a $\sigma_y$ of 12, you can graph the SD line by going up $\sigma_y$ and right $\sigma_x$, then connecting that point (in this example, $(85, 82)$) with the mean points. + +### 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" +- The regression line is *used to predict* the y variable when the x variable is given +- The rgre