SAS ƒVƒXƒeƒ€ |
Model Information | |
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Data Set | WORK.AUTOMPG |
Response Variable | MPG |
Class Variables | Cylinders Year Origin |
Distribution | Normal |
Link Function | Identity |
Fit Controls | |
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Maximum Number of Bases | 21 |
Maximum Order of Interaction | 1 |
Degrees of Freedom per Knot | 2 |
Knot Separation Parameter | 0.05 |
Penalty for Variable Reentry | 0 |
Missing Value Handling | Include |
Class Level Information | ||
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Class | Levels | Values |
Cylinders | 5 | 3 4 5 6 8 |
Year | 13 | 70 71 72 73 74 75 76 77 78 79 80 81 82 |
Origin | 3 | 1 2 3 |
Number of Observations Read | 398 |
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Number of Observations Used | 398 |
Fit Statistics | |
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GCV | 11.55804 |
GCV R-Square | 0.81128 |
Effective Degrees of Freedom | 23 |
R-Square | 0.83161 |
Adjusted R-Square | 0.82682 |
Mean Square Error | 10.57977 |
Average Square Error | 10.26079 |
Regression Spline Model after Backward Selection | |||||
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Name | Coefficient | Parent | Variable | Knot | Levels |
Basis0 | 29.4394 | Intercept | |||
Basis2 | 0.004412 | Basis0 | Weight | 3139.00 | |
Basis3 | -21.2899 | Basis0 | Horsepower | . | |
Basis6 | 0.1534 | Basis3 | Horsepower | 158.00 | |
Basis7 | 2.3920 | Basis3 | Year | 10 12 11 9 8 7 3 | |
Basis9 | 1.6658 | Basis0 | Acceleration | 21.0000 | |
Basis10 | 0.4672 | Basis0 | Acceleration | 21.0000 | |
Basis11 | -8.1766 | Basis0 | Cylinders | 0 3 | |
Basis13 | -10.0976 | Basis4 | Origin | 0 | |
Basis15 | 2.1354 | Basis0 | Origin | 2 | |
Basis17 | 6.7675 | Basis0 | Cylinders | 3 | |
Basis19 | 1.4987 | Basis0 | Year | 3 10 12 11 9 |
ANOVA Decomposition | ||||
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Functional Component |
Number of Bases |
DF | Change If Omitted | |
Lack of Fit | GCV | |||
Weight | 1 | 2 | 299.55 | 0.7165 |
Horsepower | 1 | 2 | 1324.81 | 3.5875 |
Year | 2 | 4 | 1183.22 | 3.0358 |
Acceleration | 2 | 4 | 287.76 | 0.5546 |
Cylinders | 2 | 4 | 321.11 | 0.6470 |
Origin | 2 | 4 | 316.04 | 0.6330 |
Variable Importance | ||
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Variable | Number of Bases |
Importance |
Horsepower | 1 | 100.00 |
Year | 2 | 85.46 |
Weight | 1 | 21.10 |
Cylinders | 2 | 19.08 |
Origin | 2 | 18.67 |
Acceleration | 2 | 16.38 |