9(20 pts). Correlation analysis and Simple Linear Regression. A study is con- ducted with a group of dieters to see if the number of grams of fat each consumes per day, x, is related to cholesterol level y. The data are shown in Spreadsheet "Question 8": Fat Grams x: 6.8 5.5 8.2 10 8.6 9.1 8.6 10.4 5.9 6.3 7.6 8 8.5 7.9 5.9 6.7 9.1 10.1 9.5 8.9 Cholesterol Level y: 212 192 193 263 222 250 190 249 190 185 192 201 215 189 203 194 241 256 255 245 pole sta ber of of perm lity o n = 20, Στ = 161.6, y = 216.85, Σ Υ = 4337, = 8.08, Σν = 955159. Στ? = 1347.52, Σ y = 35671.5, (a) Compute the value of the correlation coefficient, r, between x and y. (b) Test if the population correlation coefficient p > 0.5 at a = 0.05. (c) Determine the regression line equation y' = a + bx. (d) Predict the cholesterol level of a dieter who consumes x = 8.5 grams of fat per day. (e) Find the 90% prediction interval of the cholesterol level of a person who consumes x=8.5 grams of fat per day. at mo 9 mally tribu (p es of 3:n ta