Question 138779This question is from textbook APPLIED STATISTICS IN BUSINESS AND ECONOMICS
: 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
This question is from textbook APPLIED STATISTICS IN BUSINESS AND ECONOMICS
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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,
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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.
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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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EQUATION:
year when individual was hired = -3816521 +1948*(year observed)-826(year hired)
-2093*(Race factor)-6438(Rank factor)
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Since p-value is zero for all coefficients, none should be rejected.
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R2 = 0.811 means 81.1% of the variability between the variables is
explained by the regression equation.
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Cheers,
Stan H.
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