A logistic regression is estimated to analyze the probability of complications for male patients resulting from a serious infection. Predictor variables include the patient’s weight, age, and whether he is diabetic (Diabetes equals 1 if diabetic, 0 otherwise). The accompanying data file includes information on 260 males who had tested positive for a serious infection.
a. Estimate the logistic regression model using Complication as the response variable and Weight, Age, and Diabetes as the predictor variables.
b. Find the predicted probability of complications for a 60-year-old diabetic male with weight equal to 160 pounds.
c. Find the corresponding probability for a nondiabetic male.

 

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