13.54 Voting and income A logistic regression model describes how the probability of voting for the Republican candidate in a presidential election depends on x, the voter’s total family income (in thousands of dollars) in the previous year. The prediction equation for a particular sample is pn =

e-1.00 + 0.02x 1 + e-1.00 + 0.02x.

Find the estimated probability of voting for the Republican candidate when

(a) income = $10,000,

(b) income = $100,000. Describe how the probability seems to depend on income.