Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 12.3, Problem 34E
For the past decade, rubber powder has been used in asphalt cement to improve performance. The article “Experimental Study of Recycled Rubber-Filled High-Strength Concrete” (Magazine of Concrete Res., 2009: 549–556) includes a regression of y = axial strength (MPa) on x = cube strength (MPa) based on the following sample data:
| x | 112.3 | 97.0 | 92.7 | 86.0 | 102.0 | 99.2 | 95.8 | 103.5 | 89.0 | 86.7 |
| y | 75.0 | 71.0 | 57.7 | 48.7 | 74.3 | 73.3 | 68.0 | 59.3 | 57.8 | 48.5 |
- a. Obtain the equation of the least squares line, and interpret its slope.
- b. Calculate and interpret the coefficient of determination.
- c. Calculate and interpret an estimate of the error standard deviation σ in the simple linear regression model.
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Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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