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education/statistics/Correlation and Regression.md
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@ -96,7 +96,7 @@ $$ \hat{y} = \frac{x-\bar{x}}{\sigma_x} * r * \sigma_y + \bar{y} $$
3. Multiply that by $\sigma_y$ 3. Multiply that by $\sigma_y$
4. Add the average of $y$ 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 - 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.
- There are two separate regression lines, one for predicting $y$ from $x$, and one for predicting $x$ from $y$ - 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 - Do not extrapolate outside of the graph