Question

if standard deviation of x and y is 2 and 3 and correlation coefficient between x and y is 0.4.find variance of x1 and variance of y1 and covariance of x and y​

Answer 1

Answer:

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

Explanation: