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. (Use*α*= 0.01.)

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The model appears to be useful because*p*-value = 0.000 < 0.01.

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The model does not appear to be useful because*p*-value = 0.014 > 0.01.

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The model appears to be useful because*R*-Sq (adj) is more than 0.01 less than R-Sq.

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The model does not appear to be useful because the*p*-value = 0.018 > 0.01.