Question

State the following statement is True or False

If two regression coefficients are $0.8$ and $0.2$ respectively, then correlation coefficient is equal to zero.

• A. True
• B. False

Answer 1

The correct option is B False

Let $r_x=0.8,r_y=0.2$

Coeff. of correlation = Geometric Mean of Regression Coeff.

$=\sqrt{r_x.r_y}$

$=\sqrt{0.8\times 0.2}$

$=\sqrt{0.16}$

$\therefore$ CorrelationCoeff. $=0.4\ne 0$

$\therefore$ The given statement is false.