5.6 ● The accompanying data are x 5 cost (cents per serving) and y 5 fiber content (grams per serving)

for 18 high-fiber cereals rated by Consumer Reports

(www.consumerreports.org/health).

Cost per Serving Fiber per Serving 33 7 46 10 49 10 62 7 41 8 19 7 77 12 71 12 30 8 Cost per Serving Fiber per Serving 53 13 53 10 67 8 43 12 48 7 28 14 54 7 27 8 58 8

a. Compute and interpret the value of the correlation coefficient for this data set. (Hint: See Example 5.1.)

b. The serving size differed for the different cereals, with serving sizes varying from 1⁄2 cup to 11⁄4 cups. Converting price and fiber content to “per cup” rather than “per serving” results in the accompanying data. Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?

Cost per Cup Fiber per Cup Cost per Cup Fiber per Cup 9.3 44 13 53 10 46 10 53 10 49 8 67 7 62 12 43 6.4 32.8 7 48 7 19 28 56 12 77 7 54 9.6 56.8 16 54 8 30 10.7 77.3