Consider the following regression summary:
The regression equation is
Y3 = 104 + 0.204 X3 + 0.0754 X4
Predictor Coef SE Coef T P
Constant 103.968 5.049 20.59 0.000
X3 0.20415 0.08503 2.40 0.018
X4 0.07542 0.05760 1.31 0.193
S = 6.38219 R-Sq = 8.1% R-Sq(adj) = 6.2%
Analysis of Variance
Source DF SS MS F P
Regression 2 360.63 180.31 4.43 0.014
Residual Error 101 4113.97 40.73
Total 103 4474.59
Perform a global utility test for the model. State the correct decision and reasoning. (Useα= 0.01.)
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The model appears to be useful becausep-value = 0.000 < 0.01.
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The model does not appear to be useful becausep-value = 0.014 > 0.01.
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The model appears to be useful becauseR-Sq (adj) is more than 0.01 less than R-Sq.
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The model does not appear to be useful because thep-value = 0.018 > 0.01.
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