Find the correlation coefficient between the tandom variables X and Y if the covariance of X and Y is 0.9 and variances of the random variables X and Y are 4 and 9, respectively 1)0.142 2)0.133 3)0.150 4)0.125

Jerold

Jerold

Answered question

2021-06-04

Find the correlation coefficient between the tandom variables X and Y if the covariance of X and Y is 0.9 and variances of the random variables X and Y are 4 and 9, respectively
1)0.142
2)0.133
3)0.150
4)0.125

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-06-05Added 95 answers

Step 1
Given: Cov(X,Y)=0.9
Var(X)=4 & Var(Y)=9
The coefficient of correlation is given by
r=Cov(X,Y)Var(X)Var(Y)
=0.94×9
=0.15
Step 2
Hence the correlation between X & Y is 0.150.

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