Consider the catsM dataset in R. To have it, rst load the boot library in R, then type catsM. The dataset provides body weights and heart weights of 97 randomly chosen male cats. The purpose of this problem is to predict the weight of the hearts based on the body weights. (a) Plot the body weights and heart weights of the cats. Do you see any linear trend? If yes, in which direction? (b) Suppose the population model is 9'1: =60+61xi+5ia 3:132a'\" :97 where yi, mi- denote the body weight and heart weight of the ith cat. Estimate the parameters of the model (i.e., the regression coefcients). (c) Test for signicance of g. (take or = 0.05) (d) Test whether the weight of heart increases if the body weight increases. (e) Find 95% condence intervals of g and 61