Suppose four
X-variables are candidates to be in a model for predicting
Y. The sample size is n = 50 and SSTO = 884.8. SSE values for all possible models (which all include an intercept term) are given in the table below.
Model |
SSE |
Model |
SSE |
Model |
SSE |
X
1
|
452.2 |
X
1,
X
2
|
297.9 |
X
1,
X
2,
X
3
|
261.6 |
X
2
|
316.9 |
X
1,
X
3
|
277.7 |
X
2,
X
3,
X
4
|
262.2 |
X
3
|
279.5 |
X
1,
X
4
|
370.7 |
X
1,
X
2,
X
4
|
297.6 |
X
4
|
389.3 |
X
2,
X
3
|
262.5 |
X
1,
X
3,
X
4
|
273.2 |
|
X
2,
X
4
|
309.3 |
X
1,
X
2,
X
3,
X
4
|
261.6 |
X
3,
X
4
|
273.3 |
|
- Complete the following Best Subsets table.
Vars |
R-Sq |
R-Sq (adj) |
Mallows’ Cp |
S |
X X X X
1 2 3 4 |
1 |
68.4 |
67.8 |
2.1 |
2.413 |
X |
1 |
2 |
2 |
3 |
3 |
4 |
70.4 |
67.8 |
5.0 |
2.411 |
X X X X |
Describe in a few brief sentences the conclusions to be drawn from the results in part (a).
Hello, I need to see the steps so that I can compare to my own work and understand my mistakes. Thank you! Suppose four X-variables are candidates to be in a model for predicting Y. The sample size is n = 50 and SSTO = 884.8. SSE values for all possible models (which all include an intercept term) are given in the table below. Model SSE Model SSE Model SSE X1 452.2 X1, X2 297.9 X1, X2, X3 261.6 X2 316.9 X1, X3 277.7 X2, X3, X4 262.2 X3 279.5 X1, X4 370.7 X1, X2, X4 297.6 X4 389.3 X2, X3 262.5 X1, X3, X4 273.2 X2, X4 309.3 X1, X2, X3, X4 261.6 X3, X4 273.3 (a) Complete the following Best Subsets table. Vars R-Sq R-Sq (adj) Mallows’ Cp S X X X X 1 2 3 4 1 68.4 67.8 2.1 2.413 X 1 2 2 3 3 4 70.4 67.8 5.0 2.411 X X X X Describe in a few brief sentences the conclusions to be drawn from the results in part (a).