Question: Exercises 16.45, 16.47, and 16.49 used the example from How It Works 15.2 on the relation between age and how much people study. Here are

Exercises 16.45, 16.47, and 16.49 used the example from How It Works 15.2 on the relation between age and how much people study. Here are the data once again

a. Calculate the proportionate reduction in error the long way.

b. Explain what the proportionate reduction in error that you calculated in part

(a) tells us. Be specific about what it tells us about predicting using the regression equation versus predicting using the mean.

c. Demonstrate how the proportionate reduction in error could be calculated using the short way. Why does this make sense? That is, why does the correlation coefficient give us a sense of how useful the regression equation will be?

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