The article "Effect of Granular Subbase Thickness on Airfield Pavement StructuralResponse" (K. Gopalakrishnan and M. Thompson, Journal of Materials in CivilEngineering, 2008:331-342) presents a study of the amount of surface deflection caused byaircraft 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 thepoint of application. The results are presented in the following table.y0.0003.240.3052.360.6101.420.9140.871.2190.541.5240.341.8300.24a.Fit the linear model y = Bo + B1x + ɛ. For each coefficient, test the hypothesis that thecoefficient is equal to 0.b. Fit the quadratic model y = Bo + Bịx + B2x² + ɛ. For each coefficient, test the hypothesisthat the coefficient is equal to 0.%3DFit the cubic model y = Bo + B1x +B2x? + B3x + E. For each coefficient, test theC.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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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An experiment to determine the effect of four different types of engine oil (A, B, C, and D) on the rolling friction coefficient of a car speed has been conducted. Three brands of car (Honda, Toyota, and Mazda) were chosen, and each engine oil was tested twice on each car, producing the following ANOVA output in Figure 2. i) How many treatments involved? Write down all the treatments ii) Identify the number of replication for each treatment. iii) Based on the ANOVA table above, find the values of W, X, Y and Z. iv) Test the interaction effect on rolling friction coefficient of car speed between the four different types of engine oil and the three different brands of car. v) Do we need to test for marginal effect? Give a reason.
The article “Differences in Susceptibilities of Different Cell Lines to Bilirubin Damage” (K. Ngai, C. Yeung, and C. Leung, Journal of Paediatric Child Health, 2000:36–45) reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 10 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 10 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Find a 98% confidence interval for the difference in survival percentages between the two cell lines.
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