Let $r>0$ and $m$ be the A. M. of the regression coefficient of $y$ on $x$ and $x$ on $y$, then

JEE MATHEMATICS MCQ: STATISTICS

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Understanding +4 | -1

Let

r>0

and

m

be the A. M. of the regression coefficient of

y

x

and

x

y

, then

View answer and explanation

Correct option: C

m \geq r

Option C (

m \geq r

) is correct because the arithmetic mean (m) of the regression coefficients is always greater than or equal to the geometric mean (r), which is the correlation coefficient.

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