Refer to the data in Table 13-9 on diabetic patients and the development of retinopathy.

(a) Develop a regression model to predict the probability of development of retinopathy based on years of diabetes and gender of the person. Is the model significant at α = 0.05?

(b) Is the model developed in part (a) better than that developed in Exercise 13-16? Comment.

(c) Interpret the odds ratio associated with the predictors.

(d) Find a 95% confidence interval for the mean probability of developing retinopathy for males who have had diabetes for 15 years. What is the corresponding 95% confidence interval for females?

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TABLE 13-9 Data on Retinopathy in Diabetic Patients Gender Years Retinopathy Gender Years Retinopathy M 12 Y F 14 N F 25 Y M 22 Y F 16 Y F 9 M 10 N N M 20 Y 19 Y M 18 N F 22 Y F 24 Y M 7 N F 10 F 20 Y M 15 Y 15 Y F 15 N M 12 Y M 25 Y M 23 N