Suppose the sample correlation coefficient between two random variables X and Y based on a set of bi-variate points (X i , Yi ), for i =1, . . . , n, is 1. Which of the following statements do you think would be INCORRECT? Evaluate each expression and give reasons
(a) Ëεi =Yi âËYi =0, for all i =1, . . . , n.
(b) Mean Squared Error =0.
(c) The coefficient of determination R^2 =1.
(d) nâ i=1 (Yi âYbar)^2 = nâ i=1 (ËYicap âYbar ^)2
(e) SE(Ëμ(x))=1.