Hi, these are some exam questions from a passed exam paper for my Applied Regression module could you help with correct instructive solutions so i can prepare for my exam please?

A4. Consider two independent random variables X and Y. Let p be the coefficient of correlation between X and Y'. Given a set of paired data (Xi, Y) (i = 1, 2. ..., n), let be the sample correlation coefficient. Which of the following statements is always true? (a) p=0,r =0 (b) p40.r =0 (c) p40.r#0 (d) None of these choices A5. In a multiple linear regression model, the following sums of squares are produced for the fit to sample data: I(x - F) = 100. )(X - Pj' = 33. The estimated percentage of the variation in Y that is explained by the fitted model is: (a) 40% (b) 60% (c) 33% (d) 50% (e) None of these choices