The regression coefficient of $y$ on $x$ is $\frac{2}{3}$ and $x$ on $y$ is $\frac{4}{3}$. If the acute angle between the regression line is $\theta$, then $\tan \theta$ is equal to

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Application +4 | -1

The regression coefficient of

y

x

\frac{2}{3}

and

x

y

\frac{4}{3}

. If the acute angle between the regression line is

\theta

, then

\tan \theta

is equal to

View answer and explanation

Correct option: C

\frac{1}{18}

Option C (

\frac{1}{18}

) is correct because it is the tangent of the acute angle between the regression lines, calculated using the given regression coefficients.

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

\bar X,

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

1,3,5, x, y

-2,