9(20 pts). Fat and Cholesterol A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to cholesterol level. The data are shown here. All necessary sums are given below: Fat grams x 6.8 5.5 8.2 10 8.6 9.1 8.6 10.4 Cholesterol level y 183 201 193 283 222 250 190 218 n = 8, Ex=67.2, Ex2 = 582.62, Ey = 1, 740, Eye = 386, 636, Exy = 14, 747.9 (a) Compute the value of the correlation coefficient r. (b) Test if the population correlation coefficient p > 0 at a = 0.10. (c) Determine the regression line equation y' = a + bx if r is significant. (d) If there is a significant linear relationship, predict the cholesterol level of a dieter who consumes x - 8.5 grams of fat per day. (e) Find the 95% prediction interval of the cholesterol level of a person who consumes x = 8.5 grams of fat per day