Question

if the covariance between two variables is 9.4 and variance of series X and series why are 10.6 and 2.5 respectively calculate the coefficient of correlation​

Answer 1

The answer of coefficient of the coorelation is :-

1.83

Hope it helps you.

Answer 2

1.8

Given:

Co-variance between X and Y = 9.4

Variance of series X                  = 10.6

Variance of series Y                  = 2.5

To find:

Coefficient of correlation

Formula:

Coefficient of correlation = $\frac{\sum xy}{N\sigma_{x} \sigma_{y} }$

Covariance    = $\frac{\sum xy}{N }$ = 9.4

Variance of x = 10.6 = $\sigma_{x}$ = $\sqrt{10.6}$

Variance of y = 2.5  = $\sigma_{y}$ = $\sqrt{2.5}$

Coefficient of correlation = $\frac{9.4}{\sqrt{10.6*2.5} }$

                                          = $\frac{9.4}{\sqrt{26.5} }$

                                          = $\frac{9.4}{5.14}$

                                          = 1.8