Can the concept of an adjusted mean, introduced in Exercise 7.2, be extended to a model that includes interactions? If so, show how adjusted means can be found for the data in Figure 7.7(a) and (b)...

Can the concept of an adjusted mean, introduced in Exercise 7.2, be extended to a model that includes interactions? If so, show how adjusted means can be found for the data in Figure 7.7(a) and (b) (on page 141).

(a) Locate the ‘‘unadjusted’’ and adjusted means for women and men in each of Figures 7.1(a) and (b) (on page 129). Construct a similar figure in which the difference between adjusted means is smaller than the difference in unadjusted means.

 (b) Using the results in the text, along with the mean income and education values for the three occupational types, compute adjusted mean prestige scores for each of the three types, controlling for income and education. Compare the adjusted with the unadjusted means for the three types of occupations and comment on the differences, if any, between them.