Question

the coefficient of correlation between x and y is 0.6 and covariance is 14.4 and var x (9) then s.d of y is​

Answer 1

Answer:

The value of SD (Y) is 8.

Step-by-step explanation:

The formula to compute the correlation coefficient r is:

$r=\frac{Cov(X,Y)}{\sqrt{V(X)V(Y)}}$

Given:

Cov (X, Y) = 14.4

V (X) = 9

r = 0.60

Compute the value of SD (Y) as follows:

$r=\frac{Cov(X,Y)}{\sqrt{V(X)V(Y)}}\\0.60=\frac{14.4}{\sqrt{9\times V(X)}}\\3\times SD(Y)=\frac{14.4}{0.60}\\SD(Y)=8$

Thus, the value of SD (Y) is 8.