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
Year Hire -826 -5.5 .000
Race -2,093 -4.3 .000
Rank -6,438 -22.3 .000
R2 = 0.811 R2adj = 0.809 s = 3,318
The regression equation can be written as:
Salary = -3816521 + 1948 * Year – 826 * Year Hire – 2093 * Race – 6438 * Rank
This implies that the Salary is increasing with the year, but ...
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