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Statistics / Stats: Data and Models 4 / Chapter 6 / Problem 17E

Stats: Data and Models | 4th Edition | ISBN: 9780321986498 | Authors: Richard D. De Veaux, Paul F. Velleman, David E. Bock

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More cereal Exercise describes a regression model that

Chapter 6, Problem 17E

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QUESTION:

Problem 17E

More cereal Exercise describes a regression model that estimates a cereal’s potassium content from the amount of fiber it contains. In this context, what does it mean to say that a cereal has a negative residual?

Exercise

Cereals For many people, breakfast cereal is an important source of fiber in their diets. Cereals also contain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. An analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in servings of 77 breakfast cereals produced the regression model Fiber. If your cereal provides 9 grams of fiber per serving, how much potassium does the model estimate you will get?

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QUESTION:

Problem 17E

More cereal Exercise describes a regression model that estimates a cereal’s potassium content from the amount of fiber it contains. In this context, what does it mean to say that a cereal has a negative residual?

Exercise

Cereals For many people, breakfast cereal is an important source of fiber in their diets. Cereals also contain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. An analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in servings of 77 breakfast cereals produced the regression model Fiber. If your cereal provides 9 grams of fiber per serving, how much potassium does the model estimate you will get?

ANSWER:

Step 1 of 2

From Exercise 15, the regression model is where y is potassium content.

According to this model, a cereal with 9 grams of fiber was expected to have 281 milligrams of potassium as mentioned below.

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