Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Textbook Question
Chapter 13, Problem 69SE
Air pressure (psi) and temperature (°F) were measured for a compression process in a certain piston-cylinder device, resulting in the following data (from Introduction to Engineering Experimentation, Prentice-Hall. Inc., 1996. p. 153):
| Pressure | 20.0 | 40.4 | 60.8 | 80.2 | 100.4 |
| Temperature | 44.9 | 102.4 | 142.3 | 164.8 | 192.2 |
| Pressure | 120.3 | 141.1 | 161.4 | 181.9 | 201.4 |
| Temperature | 221.4 | 228.4 | 249.5 | 269.4 | 270.8 |
| Pressure | 220.8 | 241.8 | 261.1 | 280.4 | 300.1 |
| Temperature | 291.5 | 287.3 | 313.3 | 322.3 | 325.8 |
| Pressure | 320.6 | 341.1 | 360.8 | ||
| Temperature | 337.0 | 332.6 | 342.9 |
- a. Would you fit the simple linear regression model to the data and use it as a basis for predicting temperature from pressure? Why or why not?
- b. Find a suitable probabilistic model and use it as a basis for predicting the value of temperature that would result from a pressure of 200. in the most informative way possible.
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Chapter 13 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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