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The Pearson product-moment correlation coefficient is a measure of the linear relationship between two variables $X$ and $Y$, giving a value between +1 and −1.

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What is the difference between linear regression on y with x and x with y?

Well, it's true that for a simple bivariate regression, the linear correlation coefficient and R-square will be the same for both equations. But the slopes will be $rS_y/S_x$ or $rS_x/S_y$ , which ar …
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