Using the data set given below, regress

(a) Y on X, and

(b) X on Y.

(c) Compute the correlation coefficient for each regression;

(d) Transform the regression of Y on X into an equation for computing X,

and compare these coefficients with the coefficients for the regression of X on Y.

(e) Why do the coefficients of parts

(b) and

(d) differ?
X 2 1 3 2 Y 1 2 4 5