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Learning: Exercise M.8 Multiple Variables Weighing on Your Mind? The Consumer Reports rating for cereals is created using numerous factors and indicates how healthy a
Learning: Exercise M.8 Multiple Variables Weighing on Your Mind? The Consumer Reports rating for cereals is created using numerous factors and indicates how healthy a cereal is for you. An instructor at Yale used a "Healthy Breakfast" dataset to analyze how the Consumer Reports rating for various cereals is related to the nutrition information on the cereals' packages. In particular, the instructor looked at the amount of fat, sugar, and fiber in the cereal. He found that the following was the best model for how these nutritional components related to the Consumer Reports rating, where fat, fiber, and sugar are all in grams per serving: Rating = 53.4 (3.48 * Fat) + (2.95 * Fiber) (1.96 * Sugar) (1) Maria wanted to know what the Consumer Reports rating for her three favorite cereals would be, but all she had was the nutrition labels from the cereal boxes. She decided to use the equation above to calculate the rating. The information from the cereal boxes is shown in the table below. Cereal 1 Cereal 2 Cereal 3 Fat 2 11 3 Fiber 3 12 2 Sugar 1 4 9 Rating (a) Calculate the rating for each cereal. Round to two decimal places. Cereal 1
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