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# The correlation coefficient of two variables $x$ and $y$ is 0.8. The regression coefficient of $y$ on $x$ is 0.2 then the regression coefficient of $x$ and $y$ is

$\begin {array} {1 1} (A)\;3.2 & \quad (B)\;-3.2 \\ (C)\;4 & \quad (D)\;0.16 \end {array}$

Given correlation coefficient $(r) = 0.8$
$b_{yx}=0.2$
$\therefore r^2=b_{xy}.b_{yx}$
$b_{xy} = \large\frac{r^2}{b_{yx}}$ $= \large\frac{0.8 \times 0.8}{0.2}$
$= \large\frac{0.64}{0.2}$
$b_{xy} = 3.2$
Ans : (A)