SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.9934 | |||||
R Square | 0.9868 | |||||
Adjusted R Square | 0.9840 | |||||
Standard Error | 0.2994 | |||||
Observations | 18 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 3 | 93.8897 | 31.2966 | 349.1868 | 0.0000 | |
Residual | 14 | 1.2548 | 0.0896 | |||
Total | 17 | 95.1444 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 9.2444 | 0.0998 | 92.6366 | 0.0000 | 9.0304 | 9.4585 |
x1 | 2.6000 | 0.1411 | 18.4230 | 0.0000 | 2.2973 | 2.9027 |
x2 | 0.5717 | 0.0386 | 14.7911 | 0.0000 | 0.4888 | 0.6546 |
x1x2 | 0.2833 | 0.0547 | 5.1837 | 0.0001 | 0.1661 | 0.4006 |
1.3)
RESIDUAL OUTPUT | ||
Observation | Predicted Y | Residuals |
1 | 6.957777778 | -0.15778 |
2 | 7.529444444 | -0.02944 |
3 | 8.101111111 | -0.10111 |
4 | 8.672777778 | 0.327222 |
5 | 9.244444444 | -0.14444 |
6 | 9.816111111 | 0.383889 |
7 | 10.38777778 | 0.012222 |
8 | 10.95944444 | -0.15944 |
9 | 11.53111111 | -0.13111 |
10 | 8.424444444 | 0.375556 |
11 | 9.279444444 | -0.07944 |
12 | 10.13444444 | -0.13444 |
13 | 10.98944444 | -0.68944 |
14 | 11.84444444 | 0.355556 |
15 | 12.69944444 | -0.09944 |
16 | 13.55444444 | 0.345556 |
17 | 14.40944444 | -0.00944 |
18 | 15.26444444 | -0.06444 |
The above plot does not have any pattern. Hence, the independence assumption between the residulas against predicted is satisfied but may include an outlier.
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