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Statistics - Interpreting Regression Output

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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. BirthRates2
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

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 Year Hire (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
Year Hire - 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

https://brainmass.com/statistics/regression-analysis/statistics-interpreting-regression-output-215497

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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. BirthRates2

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 ...

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A complete, neat and step-by-step solution is provided in the attached file.

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Statistics - Regression Output - Interpretation

In the following regression, X = total assets (\$ billions), Y = total revenue (\$ billions), and n = 64 large banks.

(a) Write the fitted regression equation.
(b) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at &#945; = .05.