If the regression coefficient of $X$ on $Y$ and $Y$ on $X$ are -0.4 and -0.9 respectively, then the correlation coefficient between ${X}$ and ${Y}$ is

JEE MATHEMATICS MCQ: STATISTICS

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If the regression coefficient of

X

Y

and

Y

X

are -0.4 and -0.9 respectively, then the correlation coefficient between

{X}

and

{Y}

View answer and explanation

Correct option: A

-0.6

Option A (-0.6) is correct because the correlation coefficient is the square root of the product of the regression coefficients, and it has the same sign as the regression coefficients.

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