Chapter 9, Problem 5E

(a)

To determine

To explain is this reasoning correct or not.

Answer to Problem 5E

No, it is not.

Explanation of Solution

The student has made a model and in justifying his choice of a model the student wrote the reasoning that he knows this is the correct model because $R^2=99.4\%$ . The reasoning stated by the student is correct as we need to see the scatterplot of the model first to see if the conditions are satisfied. So, we have to look into the strength, form and the pattern of the scatterplot to justify the model.

(b)

To determine

To explain does this model allow the students to make accurate predictions or not.

Answer to Problem 5E

Explanation of Solution

The student has made a model and in justifying his choice of a model the student wrote the reasoning that he knows this is the correct model because $R^2=99.4\%$ . The reasoning stated by the student is correct as we need to see the scatterplot of the model first to see if the conditions are satisfied. Therefore, this model does not allow the students to make accurate predictions because the linear model does not define the data everywhere. And the $R^2$ explains the variations of the data.