STATISTICS FOR ENGINEERS+SCI.-ACCESS
4th Edition
ISBN: 9781259998584
Author: Navidi
Publisher: MCG
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Chapter 8.1, Problem 18E
The article “Multiple Linear Regression for Lake lee and Lake Temperature Characteristics” (S. Gao and H. Stefan, Journal of Cold Regions Engineering, 1999:59–77) presents data on maximum ice thickness in mm (y), average number of days per year of ice cover (x1), average number of days the bottom temperature is lower than 8°C (x2), and the average snow depth in mm (x3) for 13 lakes in Minnesota. The data are presented in the following table.
- a. Fit the model y = β0 + β1x1 + β2x2 + β3x3 + ε. For each coefficient, find the P-value for testing the null hypothesis that the coefficient is equal to 0.
- b. If two lakes differ by 2 in the average number of days per year of ice cover, with other variables being equal, by how much would you expect their maximum ice thicknesses to differ?
- c. Do lakes with greater average snow depth tend to have greater or lesser maximum ice thickness? Explain.
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Chapter 8 Solutions
STATISTICS FOR ENGINEERS+SCI.-ACCESS
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