Question

The following data has been given below:

Series	$X$	$Y$
Mean	$6$	$8$
Standard Deviation	$4$	$12$

Coefficient of correlation $=\frac{2}{3}$.

Find $b_{yx}$.

• A. $\frac{2}{9}$
• B. $\frac{1}{9}$
• C. $\frac{4}{9}$
• D. $\frac{7}{9}$

Answer 1

The correct option is A $\frac{2}{9}$

$r=b_{yx}.\frac{{\sigma }_x}{{\sigma }_y}$

$=b_{yx}.\frac{4}{12}$

$\Rightarrow 23=b_{yx}.\frac{1}{3}$

so, $b_{yx}=2$