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
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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:
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