Question

if the coefficient of correlation between x and y is 0.42 and covariance is 30 and the variance of y is 16, the standard deviation x will be​

Answer 1

Step-by-step explanation:

ANSWER

Given:-

Cov(x,y)=30

V(x)=25

V(y)=144

As we know formula of Corelation coefficient is:−

Let r be Corelation coefficient of x,y

Then,

r=

V(x)×V(y)

Covariance(x,y)

on solving:−

⇒r=

25×144

30

⇒r=0.5