Displayed here is the Minitab output for a multiple regression analysis. 1 answer below »

Displayed here is the Minitab output for a multiple regression analysis. 1 answer below »

Displayed here is the Minitab output for a multiple regression analysis. Study the ANOVA table and the t ratios and use these to discuss the strengths of the regression model and the predictors. Does this model appear to fit the data well? From the information here, what recommendations would you make about the predictor variables in the model?

The regression equation is

Y = 34.7 + 0.0763 X1 + 0.00026X2 – 1.12 X3
 

Predictor                    Coef                Stdev              T                    p
Constant                      34.672                         5.256               6.60                .000
X1                              0.07629           0.02234           3.41                 .005
X2                               0.000259        0.001031         0.25                 .805
X3                               -1.1212           0.9955                         -1.13                .230
S =       9.722               R-sq = 51.5%              R-sq(adj) = 40.4%
 

Analysis of Variance
 

Source                        DF                  SS                    MS                 F                     p
Regression       3                     1306.99           435.66                         4.61                 .021
Error                13                    1228.78           94.52
Total                16                    2535.77

 

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