Question

If the two regression coefficients b_xy and b_yx are −0.8 and −0.2 respectively, then the correlation coefficient (p) will be ______.

Options

• 0.16

• − 0.16

• 0.4

• − 0.4

Answer 1

If the two regression coefficients b_xy and b_yx are −0.8 and −0.2 respectively, then the correlation coefficient (p) will be 0.4.

Explanation:

Given that:

b_xy = − 0.8, b_yx = − 0.2

∵ The correlation coefficient is the geometric mean of the regression coefficient.

⇒ r = `±  sqrt (b_(yx) b_(xy))`

On putting values

r = `sqrt((−0.8) × (−0.2))`

= `sqrt0.16`

= p = 0.4

∴ Option 0.4 is correct.