If x and y are two uncorrelated variables such that u=x+y and v=x-y, find the coefficient of correlation betweeen u and v in terms of `sigma_(x) and sigma_(y)`.

Let 5x+3y=55 and 7x+y=45 be two lines of regression for a bivariate data Coefficient of correlation between x and y

The coefficient of correlation between X and Y is 0.6 U and V are two variables defined as U=(x-3)/(2), V=(y-2)/(3) , then the coefficient of correlation between U and V is

The coefficient of correlation between X and Y is 0.6. Their covariance is 4.8 var (x)=9. Find the value of sigma_(y) .

Find the coefficient of correlation e(X,Y), when cov (X,Y) =-14.6, var(X)=3.5 var(Y)=64.

The co-efficient of correlation between two variables x and y is 0.5. Their co-variance is 15 and sigma_(x)=6 , Then sigma_(y)=