Regression equation to predict the dependent variable using multiple regression analysis:
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
|
R2adj = 0.809
|
s = 3,318
|
|