The regression coefficient of $y$ on x is 2/3 and that of $x$ on $y$ is 4/3 .The acute angle between the two regression lines is ${\tan ^{ - 1}}k,\;$ where $k$ is equal to

JEE MATHEMATICS MCQ: STATISTICS

1 Hard

1 of 1

Application +4 | -1

The regression coefficient of

y

on x is 2/3 and that of

x

y

is 4/3 .The acute angle between the two regression lines is

{\tan ^{ - 1}}k,\;

where

k

is equal to

View answer and explanation

Correct option: C

1/18

Option C (1/18) is correct because the acute angle between the regression lines is calculated using the given regression coefficients.

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{x_1},{x_2}, \ldots ,{x_n}

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{x_i} + 2\;i;i = 1,\;2, \ldots ,n

1,3,5, x, y

-2,