Question
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
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.
1. Estimate the logistic model to find the odds of complications for a 60-year-old diabetic patient with a weight of 180 pounds.
Note: Do not round intermediate calculations and round final answer to 2 decimal places.
2. Find the corresponding odds if the patient is not diabetic?
Note: Do not round intermediate calculations and round final answer to 2 decimal places.
3. What is the percentage difference in the odds for a diabetic patient compared to a nondiabetic patient, holding the other variables constant?
Note: Do not round intermediate calculations and round final answers to 2 decimal places.
The odds _____ by _______ Percent.
DATA:
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 |
30 | 0 | 194 | 73 | 0 |
31 | 0 | 159 | 75 | 0 |
32 | 0 | 211 | 30 | 0 |
33 | 1 | 211 | 63 | 0 |
34 | 0 | 205 | 59 | 1 |
35 | 0 | 191 | 72 | 0 |
36 | 0 | 215 | 64 | 0 |
37 | 1 | 196 | 30 | 0 |
38 | 0 | 207 | 59 | 1 |
39 | 1 | 171 | 66 | 0 |
40 | 1 | 171 | 36 | 0 |
41 | 1 | 187 | 76 | 0 |
42 | 0 | 182 | 35 | 0 |
43 | 1 | 218 | 39 | 1 |
44 | 1 | 156 | 49 | 0 |
45 | 1 | 208 | 79 | 0 |
46 | 0 | 148 | 38 | 1 |
47 | 1 | 170 | 79 | 0 |
48 | 0 | 144 | 34 | 0 |
49 | 0 | 152 | 30 | 0 |
50 | 0 | 202 | 72 | 0 |
51 | 0 | 172 | 35 | 0 |
52 | 0 | 169 | 70 | 0 |
53 | 0 | 174 | 26 | 0 |
54 | 0 | 166 | 72 | 0 |
55 | 0 | 184 | 55 | 0 |
56 | 1 | 218 | 40 | 0 |
57 | 1 | 185 | 35 | 1 |
58 | 0 | 186 | 68 | 0 |
59 | 0 | 191 | 27 | 0 |
60 | 0 | 206 | 79 | 0 |
61 | 0 | 200 | 60 | 0 |
62 | 1 | 175 | 74 | 0 |
63 | 0 | 218 | 68 | 0 |
64 | 0 | 184 | 58 | 0 |
65 | 0 | 164 | 46 | 0 |
66 | 0 | 153 | 83 | 0 |
67 | 0 | 151 | 42 | 0 |
68 | 0 | 200 | 66 | 0 |
69 | 0 | 168 | 63 | 0 |
70 | 0 | 201 | 71 | 1 |
71 | 0 | 165 | 74 | 0 |
72 | 0 | 197 | 62 | 1 |
73 | 1 | 189 | 60 | 1 |
74 | 1 | 171 | 25 | 0 |
75 | 0 | 165 | 25 | 0 |
76 | 0 | 216 | 37 | 0 |
77 | 1 | 203 | 61 | 1 |
78 | 1 | 196 | 63 | 0 |
79 | 1 | 153 | 62 | 1 |
80 | 1 | 205 | 80 | 0 |
81 | 0 | 183 | 27 | 0 |
82 | 1 | 210 | 51 | 0 |
83 | 0 | 150 | 78 | 0 |
84 | 0 | 159 | 28 | 0 |
85 | 0 | 197 | 26 | 0 |
86 | 0 | 161 | 43 | 0 |
87 | 0 | 144 | 59 | 0 |
88 | 0 | 210 | 70 | 0 |
89 | 0 | 170 | 41 | 1 |
90 | 0 | 148 | 41 | 0 |
91 | 0 | 194 | 42 | 0 |
92 | 0 | 152 | 74 | 0 |
93 | 1 | 153 | 34 | 1 |
94 | 1 | 169 | 65 | 0 |
95 | 1 | 186 | 81 | 1 |
96 | 0 | 180 | 31 | 0 |
97 | 1 | 201 | 39 | 0 |
98 | 0 | 170 | 73 | 0 |
99 | 1 | 165 | 72 | 1 |
100 | 0 | 167 | 61 | 0 |
101 | 0 | 179 | 40 | 0 |
102 | 0 | 207 | 46 | 0 |
103 | 0 | 176 | 45 | 0 |
104 | 0 | 209 | 30 | 0 |
105 | 0 | 194 | 42 | 0 |
106 | 0 | 198 | 42 | 1 |
107 | 1 | 218 | 46 | 0 |
108 | 1 | 156 | 77 | 0 |
109 | 0 | 152 | 69 | 0 |
110 | 0 | 180 | 77 | 0 |
111 | 1 | 201 | 71 | 0 |
112 | 0 | 163 | 39 | 0 |
113 | 0 | 196 | 37 | 0 |
114 | 0 | 147 | 33 | 0 |
115 | 0 | 148 | 59 | 0 |
116 | 0 | 187 | 29 | 0 |
117 | 0 | 172 | 81 | 0 |
118 | 1 | 192 | 42 | 0 |
119 | 0 | 190 | 37 | 1 |
120 | 0 | 214 | 46 | 1 |
121 | 1 | 193 | 28 | 0 |
122 | 0 | 211 | 48 | 0 |
123 | 0 | 207 | 30 | 0 |
124 | 0 | 215 | 42 | 0 |
125 | 0 | 204 | 39 | 0 |
126 | 0 | 193 | 56 | 0 |
127 | 1 | 186 | 45 | 0 |
128 | 0 | 192 | 25 | 0 |
129 | 1 | 204 | 42 | 1 |
130 | 1 | 186 | 61 | 1 |
131 | 0 | 204 | 34 | 0 |
132 | 0 | 157 | 30 | 0 |
133 | 0 | 218 | 51 | 0 |
134 | 0 | 154 | 82 | 0 |
135 | 0 | 141 | 69 | 0 |
136 | 0 | 211 | 40 | 0 |
137 | 0 | 207 | 78 | 1 |
138 | 0 | 191 | 73 | 0 |
139 | 1 | 210 | 77 | 0 |
140 | 1 | 188 | 69 | 0 |
141 | 0 | 164 | 80 | 0 |
142 | 0 | 207 | 30 | 0 |
143 | 0 | 188 | 47 | 0 |
144 | 1 | 197 | 54 | 1 |
145 | 1 | 167 | 82 | 1 |
146 | 0 | 187 | 72 | 0 |
147 | 0 | 174 | 66 | 0 |
148 | 0 | 209 | 37 | 0 |
149 | 0 | 177 | 65 | 0 |
150 | 0 | 174 | 56 | 0 |
151 | 0 | 161 | 61 | 0 |
152 | 0 | 203 | 36 | 0 |
153 | 0 | 148 | 72 | 0 |
154 | 0 | 147 | 35 | 0 |
155 | 0 | 168 | 63 | 0 |
156 | 1 | 196 | 45 | 0 |
157 | 0 | 196 | 28 | 0 |
158 | 0 | 145 | 39 | 0 |
159 | 0 | 174 | 36 | 0 |
160 | 0 | 160 | 79 | 0 |
161 | 0 | 180 | 24 | 0 |
162 | 1 | 182 | 41 | 1 |
163 | 0 | 148 | 53 | 0 |
164 | 0 | 169 | 55 | 0 |
165 | 0 | 174 | 78 | 0 |
166 | 0 | 181 | 33 | 0 |
167 | 0 | 210 | 29 | 0 |
168 | 0 | 216 | 27 | 0 |
169 | 0 | 179 | 34 | 0 |
170 | 0 | 192 | 51 | 0 |
171 | 0 | 205 | 81 | 0 |
172 | 0 | 161 | 81 | 1 |
173 | 0 | 174 | 60 | 0 |
174 | 0 | 201 | 66 | 0 |
175 | 1 | 209 | 29 | 0 |
176 | 0 | 151 | 66 | 1 |
177 | 0 | 164 | 73 | 0 |
178 | 0 | 173 | 58 | 1 |
179 | 0 | 153 | 55 | 1 |
180 | 0 | 197 | 56 | 0 |
181 | 1 | 192 | 61 | 1 |
182 | 1 | 164 | 64 | 0 |
183 | 0 | 153 | 52 | 0 |
184 | 0 | 163 | 71 | 1 |
185 | 0 | 205 | 57 | 0 |
186 | 1 | 181 | 75 | 0 |
187 | 1 | 184 | 33 | 0 |
188 | 0 | 161 | 79 | 0 |
189 | 0 | 208 | 56 | 0 |
190 | 0 | 169 | 81 | 0 |
191 | 0 | 169 | 78 | 0 |
192 | 0 | 206 | 36 | 1 |
193 | 0 | 194 | 47 | 0 |
194 | 0 | 144 | 64 | 0 |
195 | 0 | 159 | 80 | 0 |
196 | 0 | 158 | 64 | 0 |
197 | 0 | 172 | 43 | 0 |
198 | 0 | 220 | 30 | 0 |
199 | 0 | 153 | 36 | 0 |
200 | 1 | 159 | 67 | 0 |
201 | 0 | 218 | 74 | 0 |
202 | 0 | 157 | 47 | 0 |
203 | 1 | 182 | 32 | 0 |
204 | 0 | 206 | 32 | 0 |
205 | 0 | 217 | 72 | 0 |
206 | 0 | 191 | 25 | 0 |
207 | 0 | 163 | 40 | 0 |
208 | 0 | 144 | 81 | 1 |
209 | 1 | 183 | 64 | 1 |
210 | 1 | 162 | 68 | 1 |
211 | 0 | 203 | 45 | 0 |
212 | 0 | 140 | 30 | 0 |
213 | 0 | 172 | 45 | 0 |
214 | 0 | 194 | 41 | 0 |
215 | 0 | 192 | 63 | 0 |
216 | 0 | 196 | 45 | 0 |
217 | 1 | 150 | 81 | 0 |
218 | 0 | 170 | 32 | 0 |
219 | 1 | 215 | 32 | 1 |
220 | 0 | 152 | 66 | 0 |
221 | 0 | 182 | 51 | 0 |
222 | 0 | 152 | 49 | 0 |
223 | 0 | 164 | 44 | 0 |
224 | 0 | 184 | 39 | 0 |
225 | 0 | 164 | 69 | 0 |
226 | 0 | 153 | 48 | 0 |
227 | 0 | 202 | 27 | 0 |
228 | 1 | 193 | 71 | 0 |
229 | 0 | 149 | 39 | 0 |
230 | 0 | 187 | 32 | 0 |
231 | 1 | 147 | 30 | 1 |
232 | 0 | 154 | 53 | 0 |
233 | 0 | 173 | 45 | 0 |
234 | 0 | 168 | 75 | 0 |
235 | 0 | 177 | 79 | 0 |
236 | 0 | 165 | 51 | 0 |
237 | 0 | 188 | 39 | 0 |
238 | 0 | 179 | 80 | 0 |
239 | 0 | 211 | 35 | 0 |
240 | 1 | 204 | 67 | 0 |
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