Chapter 8, Problem 1E

To determine

To explain how much potassium does the model estimate you will get, if your cereal provides nine grams of fiber per serving.

Answer to Problem 1E

  $\text{281}$ milligrams.

Explanation of Solution

It is given in the question that, an analysis of the amount of fiber in grams and the potassium content in milligrams in serving of breakfast produced the regression model:

  $\text{<mover accent="true"><mo>P</mo><mo>^</mo></mover> otassium}=38+27\text{Fiber}$

Thus, if your cereal provides $\text{9}$ grams of fiber per serving then the potassium the model estimate we will get is calculated as:

  $\begin{array}{l}\text{<mover accent="true"><mo>P</mo><mo>^</mo></mover> otassium}=38+27\text{Fiber}\\ \text{=38+27}\times \text{9}\\ \text{=281}\end{array}$

Thus, we have that $\text{281}$ milligrams potassium is there if your cereal provides $\text{9}$ grams of fiber per serving.