The standard deviation of \(X\) is 4 and the standard deviation of \(Y\) is 5. If the correlation coefficient \(r\) is 0.8, then what is the regression coefficient of \(Y\) on \(X\)?
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The regression coefficient of \(Y\) on \(X\) is \(b_{yx}=r\frac{\sigma_y}{\sigma_x}\). Substituting \(r=0.8\), \(\sigma_y=5\) and \(\sigma_x=4\) gives \(b_{yx}=0.8\times\frac{5}{4}=1\).
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