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Question: The value of co-variance of two variables x and y is \(- \frac{148}{3}\) and the variance of x is \(...

The value of co-variance of two variables x and y is 1483- \frac{148}{3} and the variance of x is 2723\frac{272}{3}and the variance of yis 1313\frac{131}{3}. The coefficient of correlation is

A

0.48

B

0.78

C

0.87

D

None of these

Answer

None of these

Explanation

Solution

We know that coefficient of correlation =Cov(x,y)σx.σy= \frac{Cov(x,y)}{\sigma_{x}.\sigma_{y}}

Since the covariance is – ive.

∴ Correlation coefficient must be – ive. Hence (4) is the correct answer.