Statistics for Engineers and Scientists (Looseleaf)
4th Edition
ISBN: 9780073515687
Author: Navidi
Publisher: MCG
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Textbook Question
Chapter 7.2, Problem 8E
The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.
| Diameter | Strength |
| 4.2 | 51 |
| 4.4 | 54 |
| 4.6 | 69 |
| 4.8 | 81 |
| 5.0 | 75 |
| 5.2 | 79 |
| 5.4 | 89 |
| 5.6 | 101 |
| 5.8 | 98 |
| 6.0 | 102 |
- a. Construct a
scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate. - b. Compute the least-squares line for predicting strength from diameter.
- c. Compute the fitted value and the residual for each point.
- d. If the diameter is increased by 0.3 mm, by how much would you predict the strength to increase or decrease?
- e. Predict the strength for a diameter of 5.5 mm.
- f. Can the least-squares line be used to predict the strength for a diameter of 8 mm? If so, predict the strength. If not, explain why not.
- g. For what diameter would you predict a strength of 95 kN/mm?
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Chapter 7 Solutions
Statistics for Engineers and Scientists (Looseleaf)
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