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Question

If the two regression coefficients between x and y are 0.8 and 0.2, then the coefficient of correlation between them is


A

0.4

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B

0.6

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C

0.3

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D

0.5

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Solution

The correct option is A

0.4


Explanation for the correct option

Find the correlation coefficient

The two regression coefficients between x and y are 0.8 and 0.2 .

The correlation coefficient will be positive because both the coefficients are positive.

And the correlation coefficient is the geometric mean of both the coefficients. So the correlation coefficient is:

r=0.8×0.2⇒r=0.16⇒r=0.42⇒r=0.4

Hence, the correct option is A.


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