Question: Refer to the kinesiology data in Example 12.6 and the models fit to this data set in Exercises 12.23 and 12.24. a. Predict the maximal

Refer to the kinesiology data in Example 12.6 and the models fit to this data set in Exercises 12.23 and 12.24.
a. Predict the maximal oxygen uptake for a person having a weight of 150 kg, an age of 20 years, a time to walk 1 mile of 17 minutes, and a heart rate of 140 beats per minute using the fitted first- order model. Generate a 95% prediction interval for your prediction.
b. Predict the maximal oxygen uptake for a person having a weight of 150 kg, an age of 20 years, a time to walk 1 mile of 17 minutes, and a heart rate of 140 beats per minute using the fitted second- order model. Generate a 95% prediction interval for your prediction.
c. Predict the maximal oxygen uptake for a person having a weight of 150 kg, an age of 20 years, a time to walk 1 mile of 17 minutes, and a heart rate of 140 beats per minute using the fitted second- order model with cross- product terms. Generate a 95% prediction interval for your prediction.
d. Compare the widths of the three prediction intervals. Did the added complexity of models 2 and 3 provide a substantial reduction in the widths of the intervals?

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