Q. The correlation coefficient of two variable $x$ and $y$ is 0.8. The regression coefficient of $y$ on $x$ is 0.2, than the regression coefficient of $x$ on $y$ is

A) 3.2
B) -3.2
C) 4
D) 0.16
Explanation

(a)
Given, $r = 0.8\ and\ b_{yx} = 0.2$
$\therefore r^{2} = b_{xy}b_{yx}$
$\Rightarrow (0.8)^{2} = b_{xy}.(0.2)$
$\Rightarrow b_{xy} = \frac{0.64}{0.2} = 3.2$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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