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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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