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stat4210Hw2-2

# stat4210Hw2-2 - Results for Sheet1 Regression Analysis Y...

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Results for: Sheet1 Regression Analysis: Y versus X1, X2, X3 The regression equation is Y = 158 - 1.14 X1 - 0.442 X2 - 13.5 X3 Predictor Coef SE Coef T P Constant 158.49 18.13 8.74 0.000 X1 -1.1416 0.2148 -5.31 0.000 X2 -0.4420 0.4920 -0.90 0.374 X3 -13.470 7.100 -1.90 0.065 S = 10.0580 R-Sq = 68.2% R-Sq(adj) = 65.9% Analysis of Variance Source DF SS MS F P Regression 3 9120.5 3040.2 30.05 0.000 Residual Error 42 4248.8 101.2 Total 45 13369.3 Source DF Seq SS X1 1 8275.4 X2 1 480.9 X3 1 364.2 We notice that the coefficients have signs which we could expect. For example, x8 has a negative sign. It should have a negative impact on the number of games won if the opponent is able to attain more running yards. Can you interpret each coefficient in context here? We see that the ANOVA has an F statistics of 29.44 with a p-value of 0. This means our model is significant. Note that the Adjusted R-squared value is 76%. That is a relatively good fit. We see that s = 1.70624 and the value of MSE is 2.911. Note also that each coefficient is significant on its own. X2, x7 and x8 all have

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stat4210Hw2-2 - Results for Sheet1 Regression Analysis Y...

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