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education/statistics/Correlation and Regression.md
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@ -25,6 +25,7 @@ You can approximate the mean by trying to find the upper bound and the lower bou
## Correlation ## Correlation
Correlation is between `-1` and `1`. Correlation near 1 means tight clustering, and correlation near 0 means loose clustering. $r$ is -1 if the points are on a line with negative slope, $r$ is positive 1 if the points are on a line with a positive slope. As $|r|$ gets closer to 1, the line points cluster more tightly around a line. Correlation is between `-1` and `1`. Correlation near 1 means tight clustering, and correlation near 0 means loose clustering. $r$ is -1 if the points are on a line with negative slope, $r$ is positive 1 if the points are on a line with a positive slope. As $|r|$ gets closer to 1, the line points cluster more tightly around a line.
If $x$ is above average, we expect the $y$ to be above average if there's a strong correlation coefficient
## Calculating $r$ by hand ## Calculating $r$ by hand
Put the $x$ values into $L1$, put the $y$ values into $L2$. Put the $x$ values into $L1$, put the $y$ values into $L2$.
@ -41,3 +42,5 @@ https://www.thoughtco.com/how-to-calculate-the-correlation-coefficient-3126228
| -- | -- | | -- | -- |
| $r$ | Correlation Coefficient | | $r$ | Correlation Coefficient |
| Linear Correlation | Measures the strength of a line | | Linear Correlation | Measures the strength of a line |
(Chapter 9, ST)