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# Solved: The article “Effect of Granular Subbase Thickness ISBN: 9780073401331 38

## Solution for problem 8E Chapter 8.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 8E

The article “Effect of Granular Subbase Thickness on Airfield Pavement Structural Response” (K. Gopalakrishnan and M. Thompson, Journal of Materials in Civil Engineering, 2008:331-342) presents a study of the amount of surface deflection caused by aircraft landing on an airport runway. A load of 160 kN was applied to a runway surface, and the amount of deflection in mm (Y) was measured at various distances in m (x) from the point of application. The results are presented in the following table.

 X Y 0.000 3.24 0.305 2.36 0.610 1.42 0.914 0.87 1.219 0.54 1.524 0.34 1.830 0.24

a. Fit the linear model y = β0 + β1x +ε. For each coefficient, test the hypothesis that the coefficient is equal to 0.

b. Fit the quadratic model y = β0 + β1 x2 + ε. For each coefficient, test the hypothesis that the coefficient is equal to 0.

c. Fit the cubic model . For each coefficient, test the hypothesis that the coefficient is equal to 0.

d. Which of the models in parts (a) through (c) is the most appropriate? Explain.

e. Using the most appropriate model, estimate the deflection at a distance of 1 m.

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##### ISBN: 9780073401331

This full solution covers the following key subjects: coefficient, model, equal, deflection, fit. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 8E from 8.3 chapter was answered, more than 328 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 8E from chapter: 8.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The article “Effect of Granular Subbase Thickness on Airfield Pavement Structural Response” (K. Gopalakrishnan and M. Thompson, Journal of Materials in Civil Engineering, 2008:331-342) presents a study of the amount of surface deflection caused by aircraft landing on an airport runway. A load of 160 kN was applied to a runway surface, and the amount of deflection in mm (Y) was measured at various distances in m (x) from the point of application. The results are presented in the following table.XY0.0003.240.3052.360.6101.420.9140.871.2190.541.5240.341.8300.24a. Fit the linear model y = ?0 + ?1x +?. For each coefficient, test the hypothesis that the coefficient is equal to 0.________________b. Fit the quadratic model y = ?0 + ?1 x2 + ?. For each coefficient, test the hypothesis that the coefficient is equal to 0.________________c. Fit the cubic model . For each coefficient, test the hypothesis that the coefficient is equal to 0.________________d. Which of the models in parts (a) through (c) is the most appropriate? Explain.________________e. Using the most appropriate model, estimate the deflection at a distance of 1 m.” is broken down into a number of easy to follow steps, and 175 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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