Use the cereals data set included, at the book series website, for the following exercises. Use regression to estimate rating based on fiber alone.

Explain clearly the value of the slope coefficient you obtained in the regression.

Cereal Data Set:

 

cereal name Apple Cinnamon Cheerios Basic 4 Cheerios Cinnamon Toast Crunch Clusters Cocoa Puffs Count Chocula Crispy Wheat & Raisins Golden Grahams Honey Nut Cheerios Kix Lucky Charms Multi-Grain Cheerios Oatmeal Raisin Crisp Raisin Nut Bran Total Corn Flakes Total Raisin Bran Total Whole Grain Triples Trix Wheaties Wheaties Honey Gold Manufacturer type calories grams of grams per serving protein of fat General Mills Cold General Mills Cold General Mills Cold General Mills Cold Cold General Mills General Mills Cold General Mills Cold General Mills Cold General Mills Cold General Mills Cold General Mills Cold Cold General Mills General Mills Cold General Mills Cold Cold Cold General Mills General Mills General Mills General Mills Cold Cold Cold General Mills General Mills Cold General Mills Cold General Mills Cold 110 130 110 120 110 110 110 100 110 110 110 110 100 130 100 110 140 100 110 110 100 110 2 365 1 3772 1 1 N N N w - 3 3 3 m ~ m m ~ - 3 N 2 3 3 2 1 2 2 2 W NN 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 milligrams of grams of sodium dietary fiber 180 210 290 210 140 180 180 140 280 250 260 180 220 170 140 200 190 200 250 140 200 200 1.5 NNO 2 2 0 NOON 2 in nooi o 1.5 2 1.5 2.5 0 4 3 0 0 3 1 grams of complex carbohydrates 10.5 18 17 13 13 12 12 11 15 11.5 21 12 15 13.5 10.5 21 15 16 21 13 17 16 grams of milligrams of vitamins and minerals (% sugars potassium of FDA recommendation) 10 618 9 7 13 13 10 9 10 3 12 6 10 w w w I wo 14 70 100 105 45 105 55 65 120 45 90 40 55 90 120 140 35 230 110 60 25 110 60 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 100 100 100 25 25 25 25 Display Weight in shelf ounces per one serving 1 312 3 ~ ~ M 2 2 1 2 2 1 3 m m m m m ~ -- 3 3 3 3 3 2 1 1 1.33 1 1 1 1 1 1 1 1 1 1 1 1.25 1 1 1.5 1 1 1 1 1 Number of cups in one serving 0.75 Rating of cereal 0.75 37.03856 1.25 50.765 0.75 19.82357 29.50954 0.5 40.40021 1 22.73645 1 22.39651 36.1762 0.75 0.5 0.75 23.80404 0.75 31.07222 1.5 39.24111 1 26.73452 1 40.10597 1 1 0.75 1 1 30.45084 0.5 39.7034 1 38.83975 28.59279 46.65884 39.10617 27.7533 51.59219 0.75 36.18756