For Exercises 17.1 and 17.2, see pages 17-3 to 17-4; for 17.3 and 17.4, see page 17-5; for 17.5 to 17.7, see page 17-8; for 17.8 to 17.10, see page 17-11; and for 17.11 to 17.13, see page 17-14.

Question 17.7

17.7 Interpreting an odds ratio.

If we apply the exponential function to the fitted model in Example 17.6, we get

Show that for any value of the quantitative explanatory variable , the odds ratio for increasing by 1,

is . This justifies the interpretation given at the end of Example 17.6.

17.7