If $b_{y x}$ and $b_{x y}$ are the regression coefficient of $y$ on $x$ and $x$ on $y$ respectively, then

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Understanding +4 | -1

b_{y x}

and

b_{x y}

are the regression coefficient of

y

x

and

x

y

respectively, then

View answer and explanation

Correct option: A

b_{y x}+b_{x y} \geq 2 r(x, y)

Option A (

b_{yx} + b_{xy} \geq 2r(x, y)

) is correct. The AM-GM inequality applied to regression coefficients shows that the sum of the regression coefficients is greater than or equal to twice the correlation coefficient.

More Questions from STATISTICS

Practice All Chapter MCQs →

If the mean of a set of observations

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

\bar X,

then the mean of the observations

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

is The sum of 10 items is 12 and sum of their squares is 18 , then standard deviation will be In a family, there are 8 men, 7 women and 5 children whose mean ages separately are respectively 24,20 and 6 years. The mean age of the family is The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two observations is

1,3,5, x, y

are 5 observations. Mean of these observations is 5 and variance is 8. Sum of the cubes of the two missing number equals: If s.d. of a set of observations is 8 and if each observation is divided by

-2,

the s.d. of the new set of observations will be