Use the cereals data set included, at the book series website, for the following exercises. Use regression
Question:
Use the cereals data set included, at the book series website, for the following exercises. Use regression to estimate rating based on fiber alone.
What is the estimated regression equation?
Cereal Data Set:
| cereal | |||||||||||||||
| name | Manufacturer | type | calories per serving | grams of protein | grams of fat | milligrams of sodium | grams of dietary fiber | grams of complex carbohydrates | grams of sugars | milligrams of potassium | vitamins and minerals (% of FDA recommendation) | Display shelf | Weight in ounces per one serving | Number of cups in one serving | Rating of cereal |
| Apple Cinnamon Cheerios | General Mills | Cold | 110 | 2 | 2 | 180 | 1.5 | 10.5 | 10 | 70 | 25 | 1 | 1 | 0.75 | 29.50954 |
| Basic 4 | General Mills | Cold | 130 | 3 | 2 | 210 | 2 | 18 | 8 | 100 | 25 | 3 | 1.33 | 0.75 | 37.03856 |
| Cheerios | General Mills | Cold | 110 | 6 | 2 | 290 | 2 | 17 | 1 | 105 | 25 | 1 | 1 | 1.25 | 50.765 |
| Cinnamon Toast Crunch | General Mills | Cold | 120 | 1 | 3 | 210 | 0 | 13 | 9 | 45 | 25 | 2 | 1 | 0.75 | 19.82357 |
| Clusters | General Mills | Cold | 110 | 3 | 2 | 140 | 2 | 13 | 7 | 105 | 25 | 3 | 1 | 0.5 | 40.40021 |
| Cocoa Puffs | General Mills | Cold | 110 | 1 | 1 | 180 | 0 | 12 | 13 | 55 | 25 | 2 | 1 | 1 | 22.73645 |
| Count Chocula | General Mills | Cold | 110 | 1 | 1 | 180 | 0 | 12 | 13 | 65 | 25 | 2 | 1 | 1 | 22.39651 |
| Crispy Wheat & Raisins | General Mills | Cold | 100 | 2 | 1 | 140 | 2 | 11 | 10 | 120 | 25 | 3 | 1 | 0.75 | 36.1762 |
| Golden Grahams | General Mills | Cold | 110 | 1 | 1 | 280 | 0 | 15 | 9 | 45 | 25 | 2 | 1 | 0.75 | 23.80404 |
| Honey Nut Cheerios | General Mills | Cold | 110 | 3 | 1 | 250 | 1.5 | 11.5 | 10 | 90 | 25 | 1 | 1 | 0.75 | 31.07222 |
| Kix | General Mills | Cold | 110 | 2 | 1 | 260 | 0 | 21 | 3 | 40 | 25 | 2 | 1 | 1.5 | 39.24111 |
| Lucky Charms | General Mills | Cold | 110 | 2 | 1 | 180 | 0 | 12 | 12 | 55 | 25 | 2 | 1 | 1 | 26.73452 |
| Multi-Grain Cheerios | General Mills | Cold | 100 | 2 | 1 | 220 | 2 | 15 | 6 | 90 | 25 | 1 | 1 | 1 | 40.10597 |
| Oatmeal Raisin Crisp | General Mills | Cold | 130 | 3 | 2 | 170 | 1.5 | 13.5 | 10 | 120 | 25 | 3 | 1.25 | 0.5 | 30.45084 |
| Raisin Nut Bran | General Mills | Cold | 100 | 3 | 2 | 140 | 2.5 | 10.5 | 8 | 140 | 25 | 3 | 1 | 0.5 | 39.7034 |
| Total Corn Flakes | General Mills | Cold | 110 | 2 | 1 | 200 | 0 | 21 | 3 | 35 | 100 | 3 | 1 | 1 | 38.83975 |
| Total Raisin Bran | General Mills | Cold | 140 | 3 | 1 | 190 | 4 | 15 | 14 | 230 | 100 | 3 | 1.5 | 1 | 28.59279 |
| Total Whole Grain | General Mills | Cold | 100 | 3 | 1 | 200 | 3 | 16 | 3 | 110 | 100 | 3 | 1 | 1 | 46.65884 |
| Triples | General Mills | Cold | 110 | 2 | 1 | 250 | 0 | 21 | 3 | 60 | 25 | 3 | 1 | 0.75 | 39.10617 |
| Trix | General Mills | Cold | 110 | 1 | 1 | 140 | 0 | 13 | 12 | 25 | 25 | 2 | 1 | 1 | 27.7533 |
| Wheaties | General Mills | Cold | 100 | 3 | 1 | 200 | 3 | 17 | 3 | 110 | 25 | 1 | 1 | 1 | 51.59219 |
| Wheaties Honey Gold | General Mills | Cold | 110 | 2 | 1 | 200 | 1 | 16 | 8 | 60 | 25 | 1 | 1 | 0.75 | 36.18756 |
| All-Bran | Kelloggs | Cold | 70 | 4 | 1 | 260 | 9 | 7 | 5 | 320 | 25 | 3 | 1 | 0.33 | 59.42551 |
| All-Bran with Extra Fiber | Kelloggs | Cold | 50 | 4 | 0 | 140 | 14 | 8 | 0 | 330 | 25 | 3 | 1 | 0.5 | 93.70491 |
| Apple Jacks | Kelloggs | Cold | 110 | 2 | 0 | 125 | 1 | 11 | 14 | 30 | 25 | 2 | 1 | 1 | 33.17409 |
| Corn Flakes | Kelloggs | Cold | 100 | 2 | 0 | 290 | 1 | 21 | 2 | 35 | 25 | 1 | 1 | 1 | 45.86332 |
| Corn Pops | Kelloggs | Cold | 110 | 1 | 0 | 90 | 1 | 13 | 12 | 20 | 25 | 2 | 1 | 1 | 35.78279 |
| Cracklin' Oat Bran | Kelloggs | Cold | 110 | 3 | 3 | 140 | 4 | 10 | 7 | 160 | 25 | 3 | 1 | 0.5 | 40.44877 |
| Crispix | Kelloggs | Cold | 110 | 2 | 0 | 220 | 1 | 21 | 3 | 30 | 25 | 3 | 1 | 1 | 46.89564 |
| Froot Loops | Kelloggs | Cold | 110 | 2 | 1 | 125 | 1 | 11 | 13 | 30 | 25 | 2 | 1 | 1 | 32.20758 |
| Frosted Flakes | Kelloggs | Cold | 110 | 1 | 0 | 200 | 1 | 14 | 11 | 25 | 25 | 1 | 1 | 0.75 | 31.43597 |
| Frosted Mini-Wheats | Kelloggs | Cold | 100 | 3 | 0 | 0 | 3 | 14 | 7 | 100 | 25 | 2 | 1 | 0.8 | 58.34514 |
| Fruitful Bran | Kelloggs | Cold | 120 | 3 | 0 | 240 | 5 | 14 | 12 | 190 | 25 | 3 | 1.33 | 0.67 | 41.01549 |
| Just Right Crunchy Nuggets | Kelloggs | Cold | 110 | 2 | 1 | 170 | 1 | 17 | 6 | 60 | 100 | 3 | 1 | 1 | 36.52368 |
| Just Right Fruit & Nut | Kelloggs | Cold | 140 | 3 | 1 | 170 | 2 | 20 | 9 | 95 | 100 | 3 | 1.3 | 0.75 | 36.47151 |
| Mueslix Crispy Blend | Kelloggs | Cold | 160 | 3 | 2 | 150 | 3 | 17 | 13 | 160 | 25 | 3 | 1.5 | 0.67 | 30.31335 |
| Nut&Honey Crunch | Kelloggs | Cold | 120 | 2 | 1 | 190 | 0 | 15 | 9 | 40 | 25 | 2 | 1 | 0.67 | 29.92429 |
| Nutri-Grain Almond-Raisin | Kelloggs | Cold | 140 | 3 | 2 | 220 | 3 | 21 | 7 | 130 | 25 | 3 | 1.33 | 0.67 | 40.69232 |
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Discovering Knowledge In Data An Introduction To Data MiningISBN: 9780470908747 2nd Edition Authors: Daniel T. Larose, Chantal D. Larose
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