The following results are obtained from a bivariate frequency distribtion after making the transformations:
U=x-125/500
and V=y-500/200
∑fu=-4, ∑fu^2, ∑fv=-53, ∑fv^2=115, ∑fuv=91, n=66

(a) Calculate co-efficient of correlation between U and V.
(b) Obtain the two regression lines in X and Y.
(c) Prove that r^2 = byx * bxy.