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# The article. “Measurements of the Thermal Conductivity and ISBN: 9780073401331 38

## Solution for problem 15SE Chapter 8

Statistics for Engineers and Scientists | 4th Edition

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Problem 15SE

The article. “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short- Hot-Wire Method” (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090) reports measurements of the thermal conductivity (in W ∙ m–1 ∙ K–1) and diffusivity of several polymers at several temperatures (in 1000°C). The following table presents results for the thermal conductivity of polycarbonate. a. Denoting conductivity by y and temperature by x, fit the linear model For each coefficient, test the hypothesis that the coefficient is equal to 0.

b. Fit the quadratic model 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. Fit the quartic model For each coefficient, test the hypothesis that the coefficient is equal to 0.

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

f. Using the most appropriate model, estimate the conductivity at a temperature of 120°C.

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##### ISBN: 9780073401331

This full solution covers the following key subjects: coefficient, model, Conductivity, hypothesis, test. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 15SE from 8 chapter was answered, more than 245 students have viewed the full step-by-step answer. The answer to “The article. “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short- Hot-Wire Method” (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090) reports measurements of the thermal conductivity (in W ? m–1 ? K–1) and diffusivity of several polymers at several temperatures (in 1000°C). The following table presents results for the thermal conductivity of polycarbonate. a. Denoting conductivity by y and temperature by x, fit the linear model For each coefficient, test the hypothesis that the coefficient is equal to 0.________________b. Fit the quadratic model 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. Fit the quartic model For each coefficient, test the hypothesis that the coefficient is equal to 0.________________e. Which of the models in parts (a) through (d) is the most appropriate? Explain.________________f. Using the most appropriate model, estimate the conductivity at a temperature of 120°C.” is broken down into a number of easy to follow steps, and 167 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 15SE from chapter: 8 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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