JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Application +4 | -1

The correlation between two variables

x

and

y

is given to be

r

. The values of

x

and

y

change such that

\operatorname{Cov}(x, y)

remains unaltered and

\operatorname{Var}(x)

and

\operatorname{Var}(y)

are changed to four times their original values. The new correlation coefficient is changed to

View answer and explanation

Correct option: B

16 \mathrm{r}

Option D (

\frac{r}{4}

) is correct because the new correlation coefficient is the original correlation coefficient divided by 4 due to the change in variances.

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