Question

5. If the covariance between the variables x and y is 18 and the variance

Answer 1

Answer:

The coefficient of  correlation=0.5

Step-by-step explanation:

We are given that

Covariance between the variable  x and y=18

Variance of x=16

Variance of y=81

We have to find the coefficient of correlation

We know that

Coefficient of correlation

$r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}$

Using the formula

$r=\frac{18}{\sqrt{16}\times \sqrt{81}}$

$r=\frac{18}{4\times 9}$

$r=0.5$

Hence, the coefficient of  correlation=0.5