vault backup: 2023-12-15 13:31:48
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@ -87,6 +87,5 @@ Given a scatter diagram where the average of each set lies on the point $(75, 70
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$$ slope = r(\frac{\sigma_y}{\sigma_x}) $$
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- You can find the regression line by multiplying $\sigma_y$ by $r$, for the rise, then using $\sigma_x$ for the run from the point of averages.
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$$ z_x = \frac{x-\bar{x}}{\sigma_x} * r * \sigma_y + \bar{y} $$
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This formula finds the $z$ score for $x$, transforms by $r$, and uses the equation $x = z * \sigma + \bar{x}$ to predict a value for one axis given another axis.
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