Question

Which of the following coefficients is called the geometric mean of two regression coefficients?

• A. Correlation coefficient $r=\sqrt{b_{xy}+b_{yx}}$
• B. Rank coefficient $r=\sqrt{b_{xy}+b_{yx}}$
• C. Correlation coefficient $r=\sqrt{b_{xy}-b_{yx}}$
• D. Rank coefficient $r=\sqrt{b_{xy}-b_{yx}}$

Answer 1

The correct option is A Correlation coefficient $r=\sqrt{b_{xy}+b_{yx}}$

The geometric mean between two regression coefficient is correlation coefficient $r$

$r=\pm \sqrt{b_{xy}\times b_{yx}}$

where $b_{xy}$ is the regression coefficient of $x$ on $y$.

A is the correct answer.