A logistic regression model is estimated to analyze the probability of complications for male patients resulting from a serious infection. Predictor variables include the patient’s weight and age and whether he is diabetic (Diabetes equals 1 if diabetic, 0 otherwise). The accompanying data file includes information on 260 male patients who had tested positive for a serious infection.
a. Estimate the logistic regression model to find the odds of complications for a 60-year-old diabetic patient with a weight of 180 pounds.
b. Find the corresponding odds if the patient is not diabetic.
c. What is the percentage difference in the odds for a diabetic patient compared to a nondiabetic patient, holding the other variables constant?

 

Patient	Complication	Weight	Age	Diabetes
1	0	146	50	0
2	0	205	29	0
3	1	215	69	0
4	0	162	45	0
5	0	154	64	0
6	0	143	69	0
7	0	154	29	0
8	0	191	82	0
9	0	142	30	0
10	0	141	62	0
11	0	171	79	0
12	0	205	33	0
13	0	170	49	0
14	0	170	34	0
15	0	161	83	1
16	0	175	78	0
17	0	177	26	1
18	0	183	84	0
19	0	193	51	1
20	0	149	31	1
21	0	157	71	0
22	0	203	40	0
23	0	148	62	0
24	0	197	40	0
25	0	157	38	0
26	0	161	25	0
27	0	180	76	0
28	0	155	78	0
29	0	175	47	0