1. (Adapted from Higgins, 13:65.1 and 13325.2) The table below shows 55' = height and y = weight for n = 3 individuals. Height 68 70 74 Weight 145 155 160 (a) Find the permutation distribution of the slope of the least squares line for these two variables. Also, nd the permutation values for Spearman's 7'3 and Kendall's r... (b) Use the permutation distribution above to test H0 : no association versus Ha : positive association. You may use any of the three measures of association. Report your pvalue and conclusion if a = 0.10. ((3) Assuming these data are bivariate normal with correlation p, test the hypotheses Ho : p = 0 versus Ha : p 79 0 with 04 = 0.10. Comment on any differences when compared with the test in part b)