In: Statistics and Probability
The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.
Diameter |
Strength |
4.2 |
47 |
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 |
Compute the fitted value and the residual for each point.
The answer is:
Observation | Predicted Strength | Residuals |
1 | 52.47272727 | -5.472727273 |
2 | 58.47878788 | -4.478787879 |
3 | 64.48484848 | 4.515151515 |
4 | 70.49090909 | 10.50909091 |
5 | 76.4969697 | -1.496969697 |
6 | 82.5030303 | -3.503030303 |
7 | 88.50909091 | 0.490909091 |
8 | 94.51515152 | 6.484848485 |
9 | 100.5212121 | -2.521212121 |
10 | 106.5272727 | -4.527272727 |