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If the regression coefficient of Yon $\mathrm{X}$ is $-6$, and the correlation coefficient between $\mathrm{X}$ and $\mathrm{Y}-\frac{1}{2}$, then the regression coefficient of $X$ on Y would be $\quad$
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The correct answer is:
$-\frac{1}{24}$
$b_{y x}=-6, r=-\frac{1}{2}$
$\left(-\frac{1}{2}\right)^{2}=-6 \times b_{x y}$
$\Rightarrow b_{x y}=-\frac{1}{24}$
$\left(-\frac{1}{2}\right)^{2}=-6 \times b_{x y}$
$\Rightarrow b_{x y}=-\frac{1}{24}$
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