2. Use the data given below to answer a - c. Height (in) 71 70.5 RJ 71 72 (you can use calculator) ( 8 pts) 70 70 170 66.5 70 71 Weight (lb) 125 119 128 128 119 127 105 123 115 a) Find the regression equation letting the first variable (height) to be the independent variable (x). b) Find the best-predicted weight for a person whose height is 69 in. c) What percent of the variation in weight can be explained by the linear relationship between height and weight? 3. Here are the observed frequencies from four categories: 5, 6, 8, 13. Assume we want to use a 0.05 significance level to test the claim that the four categories are all equally likely. (Goodness of fit test) a) What is the null hypothesis? (10 pts) b) What are the expected frequency for each of the four categories? c) What is the value of the test statistic? d) What is the critical value? e) What do you conclude about the given claim