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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3SE: What is regression analysis? Describe the process of performing regression analysis on a graphing...
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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.)

X9
X1
X10
X2
X6
Variable
X7
X4
X11
X5
X8
X3
Stepwise Selection: Step 6
Variable R-Square R-Square F Value Pr> F
Statistics for Removal
DF = 1,1116
Partial
Results for the stepwise regression analysis
Model
0.0202 0.2650 31.60 <.0001
0.0153 0.2699 23.95 <.0001
0.0962 0.1890 150.20 <.0001
0.0116 0.2736 18.08 <.0001
0.0225 0.2627
35.16 <.0001
Statistics for Entry
DF = 1,1115
Model
Tolerance
R-Square F Value Pr > F
0.207460 0.2855 0.48 0.4906
0.215074 0.2852 0.01 0.9334
0.933262 0.2925 11.52 0.0007
0.894028 0.2857 0.81 0.3682
0.671736 0.2861 1.33 0.2494
0.632098 0.2852 0.02 0.8816
Transcribed Image Text:X9 X1 X10 X2 X6 Variable X7 X4 X11 X5 X8 X3 Stepwise Selection: Step 6 Variable R-Square R-Square F Value Pr> F Statistics for Removal DF = 1,1116 Partial Results for the stepwise regression analysis Model 0.0202 0.2650 31.60 <.0001 0.0153 0.2699 23.95 <.0001 0.0962 0.1890 150.20 <.0001 0.0116 0.2736 18.08 <.0001 0.0225 0.2627 35.16 <.0001 Statistics for Entry DF = 1,1115 Model Tolerance R-Square F Value Pr > F 0.207460 0.2855 0.48 0.4906 0.215074 0.2852 0.01 0.9334 0.933262 0.2925 11.52 0.0007 0.894028 0.2857 0.81 0.3682 0.671736 0.2861 1.33 0.2494 0.632098 0.2852 0.02 0.8816
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