Question

if bxy=0.20 and rxy=0.50 then byx is equal to?​

Answer 1

We need to recall the following relation between a correlation coefficient and two regression coefficients.

• The geometric mean between the two regression coefficients is equal to the correlation coefficient
• Formula: $r_{xy}=\sqrt{b_{xy}b_{yx}}$

This problem is about the correlation and regression coefficients.

Given:

Regression coefficient $x$ on $y$ : $b_{xy}=0.20$

Correlation coefficient: $r_{xy}=0.50$

From the formula of a correlation coefficient, we get

$0.50=\sqrt{(0.20)b_{yx}}$

Squaring both sides, we get

$0.25=(0.20)b_{yx}$

$b_{yx}=\frac{0.25}{0.20}$

$b_{yx}=1.25$