Question

The regression coefficients of a bivariate distribution are -0.64 and -0.36. Then the correlation coefficient of the distribution is

• A. 0.48
• B. -0.48
• C. 0.5
• D. -0.5

Answer 1

Answer: (B)

-0.48

Solution:

We have,

$b_{xy}=-0.64$ and $b_{yx}=-0.36$

$\therefore$ Correlation coefficient $=\sqrt{b_{xy}\times b_{yx}}$

$=\pm \sqrt{(-0.64)(-0.36)}=\pm 0.48$

$⟹\sigma =-0.48$

[$\because b_{xy}$ and $b_{yx}$ both are negative.]

Hence, B is the correct option.