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    Statistics - Regression Analysis

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    13.30 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-Stepwise Selection (best model of each size)
    153 observations
    BirthRate is the dependent variable
    p-values for the coefficients
    Nvar LifeExp InfMort Density GDPCap Literate s Adj R2 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

    13.32 An expert witness in a case of alleged racial discrimination in a state university school of nursing
    introduced a regression of the determinants of Salary of each professor for each year during an
    8-year period (n = 423) with the following results, with dependent variable Year (year in which
    the salary was observed) and predictors YearHire (year when the individual was hired), Race (1 if
    individual is black, 0 otherwise), and Rank (1 if individual is an assistant professor, 0 otherwise).
    Interpret these results.

    Variable Coefficient t p
    Intercept −3,816,521 −29.4 .000
    Year 1,948 29.8 .000
    YearHire −826 −5.5 .000
    Race −2,093 −4.3 .000
    Rank −6,438 −22.3 .000
    R2 = 0.811 R2
    adj = 0.809 s = 3,318

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    https://brainmass.com/statistics/regression-analysis/statistics-regression-analysis-242236

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