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Regression Analysis—Stepwise Selection (best model of eachsize) 153 observations

ID: 2914331 • Letter: R

Question

Regression Analysis—Stepwise Selection (best model of eachsize)

153 observations

BirthRate is the dependent variable

p-values for the coefficients

Nvar      LifeExp    InfMort    Density GDPCap Literate   s         AdjR2       R2

1                             .0000                                                    6.318    .722          .724

2.                            .0000                                      .0000   5.334    .802          .805

3.                            .0000                      .0242      .0000    5.261     .807         .811

4 .          5764          .0000                      .0311      .0000   5.273     .806         .812

5.           5937         .0000       .6289     .0440      .0000    5.287     .805         .812

Explanation / Answer

The R2 values are all quite high for eachof the stepwise regression pairs. Therefore, these variablesregress very well with each other. The p-values for InfMort arealmost zero, so InfMort is definitely linearly related in theregression model. The p-values for Literate are also almost zeros,so this variable is also is linearly related in the regressionmodel. The p-values for GDPCap are all less than 0.05, therefore,at 5% level of significance there is sufficient evidence toconclude that these two variables have a linear relationship withthe dependant variable. The p-values for LifeExp and Density aregreater than 0.05, therefore, these variables are not linearlyrelated to the dependant variable.

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