CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Step Deviation Method to Calculate R

If the covari...

Question

If the covariance between two variables X and Y is 8 and variance of X and Y are respectively 25 and 36, find the correlation coefficient.

Open in App

Solution

$r = \frac{C o v . (X, Y)}{\sqrt{var (X)} \sqrt{var(Y)}} = \frac{8}{\sqrt{25} \sqrt{36}} = \frac{8}{5 \times 6} = 0.26$

Suggest Corrections

thumbs-up

12

Similar questions

Q. If the covariance between x and y is

30

, variance of x is

25

and variance of y is

144

, then what is the correlation coefficient?

Q. If the correlation coefficient between

x

y

0.6

, covariance is

27

and variance of

y

25

, then what is the variance of

x

?

Q. Calculate the coefficient of correlation, if:
(i) Covariance between X and Y = 9.2
(ii) Variance of X = 11.5
(iii) Variance of Y = 14.2

Q. The standard deviation for variables x and y be 3 and 4 respectively and their covariance is 8. then coefficient of correlation between them is

Q. Find the standard deviation of X series, if coefficient of correlation between two series X and Y is 0.35 and their covariance in 10.5 and variance of Y series is 56.25.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Mathematical Application of Correlation

STATISTICS

Watch in App

explore_more_icon

Explore more

Step Deviation Method to Calculate R

Standard XI Statistics

Join BYJU'S Learning Program

CrossIcon