Question

If the two regression coefficients are 0.8 and 0.2, then the value of coefficient of correlation r will be ______.

Options

• ± 0.4

• ± 0.16

• 0.4

• 0.16

Answer 1

If the two regression coefficients are 0.8 and 0.2, then the value of coefficient of correlation r will be 0.4

Explanation:

Coefficient of correlation r is given by

r² = b_yx . b_xy

= 0.8 × 0.2

= 0.16

r = `sqrt(0.16)`

= 0.4      ...`{{:(∵ 0.8","  0.2 > 0),(∴ r > 0):}`