Question 1. Suppose we have bivariate numerical data (X1, Y1), . ,(Xn, Yn).

Question 1. Suppose we have bivariate numerical data (X1, Y1), . . . ,(Xn, Yn). Describe how you would obtain a bootstrap confidence interval of the Pearson correlation of these two variables (X and Y ).

Question 2 (continued from Question 1) Write down the least squares criterion (i.e., optimization problem to be solved) for fitting a polynomial model of degree 3, where Y is the response and X the predictor.