6.6 Does marital happiness depend on family income? For the 2002 General Social Survey, counts in the happiness categories (not, pretty, very) were (6, 43, 75)

for below average income, (6, 113, 178) for average income, and (6, 57, 117)

for above average income. Table 6.15 shows output for a baseline-category logit model with very happy as the baseline category and scores {1, 2, 3} for the income categories.

a. Report the prediction equations from this table.

b. Interpret the income effect in the first equation.

c. Report theWald test statistic and P-value for testing that marital happiness is independent of family income. Interpret.

d. Does the model fit adequately? Justify your answer.

e. Estimate the probability that a person with average family income reports a very happy marriage.