Question

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

of x and y are 16 and 81 respectively. Find the coefficient of
correlation.​

Answer 1

The coefficient of correlation=0.5

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=(covariance(x,y))/(√(variance(x))* √(variance(y)))`

Using the formula

`r=(18)/(√(16)* √(81))`

`r=(18)/(4* 9)`

`r=0.5`

Hence, the coefficient of correlation=0.5