Question
1. ( 2x4 = 8 points ) Suppose Y has 4 possible predictors: X 1 , X 2 , X 3 and X 4 .
1. (2x4 = 8 points) Suppose Y has 4 possible predictors: X1, X2, X3 and X4.
a) If SSTO = 11489, SSE(X1, X2, X3) = 335, SSE(X1, X2, X4) = 990, and SSR(X1, X2) = 10493,
what is the value of SSR(X4| X1, X2)?
ource | df | Seq ss | Adj ss | F-Statistics based on Adj ss | p-value based on Adj ss |
Regression | 3 | 100.866 | 100.875 | F1=35.14 | 0.000 |
X1 | 1 | 67.444 | 33.031 | F2=34.52 | 0.000 |
X2 | 1 | 3.883 | 38.295 | F3=40.02 | 0.000 |
X3 | 1 | 29.539 | 29.549 | F4=30.88 | 0.000 |
Error | 93 | 88.976 | 88.992 | ||
Total | 96 | 189.842 | 189.842 |
|
3(B). Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to
a model already containing only the predictor X1. Show your work.
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