A researcher used stepwise regression to create regression models to predict Bir

Question

A researcher used stepwise regression to create regression models to predict BirthRate (births per 1,000) using five predictors: LifeExp (life expectancy in years), InfMort (infant mortality rate), Density (population density per square kilometer), GDPCap (Gross Domestic Product per capita), and Literate (literacy percent). Interpret these results.

Regression Analysis (best model each size)
153 Observations
Birthrate is the dependent variable

p-values for coefficients
Nvar Lifeexp  InfMor  Density  GDPcap  Literate  s       Adj R^2   R^2
1                   .0000                                          6.318   .722     .724
2                   .0000                              .0000    5.334   .802     .805
3                   .0000                 0.0242   .0000    5.261   .807     .811
4       0.5764  .0000                 0.0311   .0000    5.273   .806     .812
5       0.5937  .0000   0.6289    0.0440   .0000    5.287   .805     .812

Explanation / Answer

As each variable is added the R^2 value increases. LifeExp and InfMort are both highly significant until the variables GDPcap and Literate are added. Choose LifeExp and InfMort to be the predictor variables if need to choose a model.

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