Chapter 9 Multiple Regression 383
On the basis of the descriptive statistics, you can conclude that the female
faculty are paid, on average, $3,063.64 less than what would be expected
for equally qualifi ed male faculty members (as quantifi ed by the predictor
variables). The largest discrepancy is for a female faculty member who is
paid $8,825 less than expected (cell B9). Of those with salaries greater than
predicted, there is a female faculty member who is paid $2,090 more than
expected (cell B10).
To understand the salary defi cit better, you can plot residuals against the
relevant predictor variables. Start by plotting the female salary residuals
versus age when hired. (You could plot residuals versus years employed,
but you would see no particular trend in the pattern of the residuals.)
To plot the residuals against Age Hired:
1 Click the Female Faculty sheet tab to return to the data worksheet.
2 Using either the StatPlus Fast Scatterplot command or the Scatter-
chart button on the Insert tab of the Excel ribbon, create a scatter
plot of Residuals (H1:H38) versus Age Hired (D1:D38).
Figure 9-19
Descriptive
statistics of
the residuals
for female
faculty