Question

Given cov(x,y)=45, SD(x)=5, SD(y)=3, then r=?​

Answer 1

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