For a recent General Social Survey, a prediction equation relating Y = job satisfaction (4 ordered categories; 1 = least satisfied) to the subject’s report of x1 = earnings compared to others with similar positions (4 ordered categories; 1 = much less, 4 = much more), x2 = freedom to make decisions about how to do job (4 ordered categories; 1 = very true, 4 = not at all true), and x3 = work environment allows productivity (4 ordered categories; 1 = strongly agree, 4 = strongly disagree), was logit[Pˆ(Y ≤ j)] = ˆαj − 0.54x1 + 0.60x2 + 1.19x3.

a. Summarize each partial effect by indicating whether subjects tend to be more satisfied or less satisfied, as (i) x1, (ii) x2, (iii) x3, increases.

b. Report the settings for x1, x2, x3 at which a subject is most likely to have the highest job satisfaction.