Example 13. 4 gave data on x = treadmill run time to exhaustion and y = 20-km

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Example 13. 4 gave data on x = treadmill run time to exhaustion and y = 20-km ski time for a sample of 11 biathletes. Use the accompanying Minitab output to answer the following questions.

a. Carry out a test at significance level .01 to decide whether the simple linear regression model is useful.

b. Estimate the average change in ski time associated with a 1-minute increase in treadmill time, and do so in a way that conveys information about the precision of estimation.

c. Minitab reported that sa1b1102 = .689. Predict ski time for a single biathlete whose treadmill time is 10 minutes, and do so in a way that conveys information about the precision of prediction.

d. Minitab also reported that = 1.029. Why is this larger than ? x

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