Attached to the end of the page is a portion of a printout from a stepwise regression analysis.                        a) Any of the F statistics on the printout can be computed via the formula:   F = (SSReg( Model A ) – SSReg( Model B ) ) / C                    MSResidual( Model A)   Identify what Model A, Model B, and the constant C are in order to obtain the F = 1.33 value for the variable x8 . b) Based on the printout for Step 6 of the stepwise selection procedure, what will be the next change in the model, in Step 7 of the procedure? (In other words, will a particular term be dropped, or added, or will nothing occur? Assume that the significance level for entry and staying are a = .15.)

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  1. Attached to the end of the page is a portion of a printout from a stepwise regression analysis.                        a) Any of the F statistics on the printout can be computed via the formula:

 

F = (SSReg( Model A ) – SSReg( Model B ) ) / C

                   MSResidual( Model A)

 

Identify what Model A, Model B, and the constant C are in order to obtain the F = 1.33 value for the variable x8 .

b) Based on the printout for Step 6 of the stepwise selection procedure, what will be the next change in the model, in Step 7 of the procedure? (In other words, will a particular term be dropped, or added, or will nothing occur? Assume that the significance level for entry and staying are a = .15.)

**Results for the Stepwise Regression Analysis**

**Stepwise Selection: Step 6**

**Statistics for Removal**  
Degrees of Freedom (DF) = 1, 1116  

| Variable | Partial R-Square | Model R-Square | F Value | Pr > F |
|----------|------------------|----------------|---------|--------|
| X9       | 0.0202           | 0.2650         | 31.60   | <.0001 |
| X1       | 0.0153           | 0.2699         | 23.95   | <.0001 |
| X10      | 0.0962           | 0.1890         | 150.20  | <.0001 |
| X2       | 0.0116           | 0.2736         | 18.08   | <.0001 |
| X6       | 0.0225           | 0.2627         | 35.16   | <.0001 |

**Statistics for Entry**  
Degrees of Freedom (DF) = 1, 1115  

| Variable | Tolerance | Model R-Square | F Value | Pr > F |
|----------|-----------|----------------|---------|--------|
| X7       | 0.207460  | 0.2855         | 0.48    | 0.4906 |
| X4       | 0.215074  | 0.2852         | 0.01    | 0.9334 |
| X11      | 0.933262  | 0.2925         | 11.52   | 0.0007 |
| X5       | 0.894028  | 0.2857         | 0.81    | 0.3682 |
| X8       | 0.671736  | 0.2861         | 1.33    | 0.2494 |
| X3       | 0.632098  | 0.2852         | 0.02    | 0.8816 |

This table presents the results of a stepwise regression analysis, detailing variables considered for removal and entry during step 6. For removal, variables with significant F values < 0.0001 suggest a strong impact. For entry
Transcribed Image Text:**Results for the Stepwise Regression Analysis** **Stepwise Selection: Step 6** **Statistics for Removal** Degrees of Freedom (DF) = 1, 1116 | Variable | Partial R-Square | Model R-Square | F Value | Pr > F | |----------|------------------|----------------|---------|--------| | X9 | 0.0202 | 0.2650 | 31.60 | <.0001 | | X1 | 0.0153 | 0.2699 | 23.95 | <.0001 | | X10 | 0.0962 | 0.1890 | 150.20 | <.0001 | | X2 | 0.0116 | 0.2736 | 18.08 | <.0001 | | X6 | 0.0225 | 0.2627 | 35.16 | <.0001 | **Statistics for Entry** Degrees of Freedom (DF) = 1, 1115 | Variable | Tolerance | Model R-Square | F Value | Pr > F | |----------|-----------|----------------|---------|--------| | X7 | 0.207460 | 0.2855 | 0.48 | 0.4906 | | X4 | 0.215074 | 0.2852 | 0.01 | 0.9334 | | X11 | 0.933262 | 0.2925 | 11.52 | 0.0007 | | X5 | 0.894028 | 0.2857 | 0.81 | 0.3682 | | X8 | 0.671736 | 0.2861 | 1.33 | 0.2494 | | X3 | 0.632098 | 0.2852 | 0.02 | 0.8816 | This table presents the results of a stepwise regression analysis, detailing variables considered for removal and entry during step 6. For removal, variables with significant F values < 0.0001 suggest a strong impact. For entry
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