Chapter 8, Problem 9E

To determine

To explain in this context what $s_e=30.77$ means.

Answer to Problem 9E

The true potassium contents of cereals vary from the predicted amounts with a standard deviation of $30.77$ milligrams.

Explanation of Solution

It is given in the previous 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:

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

Also, it is given $s_e=30.77$ . Thus, it means that the true potassium contents of cereals vary from the predicted amounts with a standard deviation of $30.77$ milligrams.