Coefficients of Bias-Reduced Logistic Regression
Variable	Parameter	S.E.	t-stat	2-sided p-value
(Intercept)	-36.2537717114150	9.53658814732808	-3.80154528551937	0.000185192421194857
slope	-0.0070974719145513	0.0905725912659406	-0.0783622486157164	0.93760954676759
elev	0.477692694909151	0.133888475969298	3.56784025996899	0.000439791405695944

Summary of Bias-Reduced Logistic Regression
Deviance	151.199255095785
Penalized deviance	138.963129491267
Residual Degrees of Freedom	225
ROC Area	0.72375
Hosmer–Lemeshow test
Chi-square	6.62392171517024
Degrees of Freedom	8
P(>Chi)	0.5776973570594

Fit of Logistic Regression
Index	Actual	Fitted	Error
1	1	0.470756874068131	0.529243125931869
2	1	0.0773392791599827	0.922660720840017
3	1	0.07245182101885	0.92754817898115
4	1	0.099894691509771	0.900105308490229
5	1	0.0791601313824947	0.920839868617505
6	1	0.0497827383017077	0.950217261698292
7	1	0.0502596185377733	0.949740381462227
8	1	0.113245829176701	0.886754170823299
9	1	0.098466419298097	0.901533580701903
10	1	0.156338856964477	0.843661143035523
11	1	0.120852098835688	0.879147901164312
12	1	0.109796269668679	0.890203730331321
13	1	0.174386587066016	0.825613412933984
14	1	0.146242611787558	0.853757388212442
15	1	0.201086617267771	0.798913382732229
16	1	0.207866245663980	0.79213375433602
17	1	0.162201527299512	0.837798472700488
18	1	0.0480096104072573	0.951990389592743
19	1	0.391506194174072	0.608493805825928
20	1	0.309168188089655	0.690831811910344
21	1	0.330470409697747	0.669529590302253
22	1	0.493073407197241	0.506926592802759
23	1	0.151566017579326	0.848433982420674
24	1	0.206755693521776	0.793244306478224
25	1	0.501654296465274	0.498345703534726
26	1	0.24232534287456	0.75767465712544
27	1	0.259315937270072	0.740684062729928
28	1	0.754820168828816	0.245179831171184
29	0	0.0334960965031621	-0.0334960965031621
30	0	0.0457429855723196	-0.0457429855723196
31	0	0.111254286838378	-0.111254286838378
32	0	0.0654376414267039	-0.0654376414267039
33	0	0.139640437204316	-0.139640437204316
34	0	0.445401190077354	-0.445401190077354
35	0	0.128303631911208	-0.128303631911208
36	0	0.0810188858283643	-0.0810188858283643
37	0	0.051617470680218	-0.051617470680218
38	0	0.0362785526625182	-0.0362785526625182
39	0	0.0402231200988067	-0.0402231200988067
40	0	0.106783192713144	-0.106783192713144
41	0	0.0917997377807574	-0.0917997377807574
42	0	0.0672586959627909	-0.0672586959627909
43	0	0.0913586779159974	-0.0913586779159974
44	0	0.0658890776248702	-0.0658890776248702
45	0	0.0435272341435733	-0.0435272341435733
46	0	0.0462932873652266	-0.0462932873652266
47	0	0.0712272631196587	-0.0712272631196587
48	0	0.0769584428515985	-0.0769584428515985
49	0	0.0645718963235482	-0.0645718963235482
50	0	0.0894836320844925	-0.0894836320844925
51	0	0.0693963992552231	-0.0693963992552231
52	0	0.108172269158018	-0.108172269158018
53	0	0.0788092015339575	-0.0788092015339575
54	0	0.102688542593592	-0.102688542593592
55	0	0.0693937232878621	-0.0693937232878621
56	0	0.236101274641326	-0.236101274641326
57	0	0.2453432404234	-0.2453432404234
58	0	0.0617565075632168	-0.0617565075632168
59	0	0.106845437824932	-0.106845437824932
60	0	0.0556584197473883	-0.0556584197473883
61	0	0.0482510422213025	-0.0482510422213025
62	0	0.201701527972202	-0.201701527972202
63	0	0.0802112695111809	-0.0802112695111809
64	0	0.115332137009892	-0.115332137009892
65	0	0.195384971721748	-0.195384971721748
66	0	0.155093990240873	-0.155093990240873
67	0	0.237486032630505	-0.237486032630505
68	0	0.156149248161064	-0.156149248161064
69	0	0.165100907094896	-0.165100907094896
70	0	0.0679225905069279	-0.0679225905069279
71	0	0.099391216512475	-0.099391216512475
72	0	0.0671201523565383	-0.0671201523565383
73	0	0.147699086142335	-0.147699086142335
74	0	0.0811843699891551	-0.0811843699891551
75	0	0.0801738635891484	-0.0801738635891484
76	0	0.0694100735396848	-0.0694100735396848
77	0	0.0684183293538469	-0.0684183293538469
78	0	0.0977572698198098	-0.0977572698198098
79	0	0.0750522986746695	-0.0750522986746695
80	0	0.173747360656088	-0.173747360656088
81	0	0.133832011428824	-0.133832011428824
82	0	0.0546634201053368	-0.0546634201053368
83	0	0.0344329510635569	-0.0344329510635569
84	0	0.0348660784412278	-0.0348660784412278
85	0	0.0650845688941221	-0.0650845688941221
86	0	0.0648022229634373	-0.0648022229634373
87	0	0.151246973613801	-0.151246973613801
88	0	0.0711734625633006	-0.0711734625633006
89	0	0.126811243435046	-0.126811243435046
90	0	0.121926422323358	-0.121926422323358
91	0	0.0336949084925626	-0.0336949084925626
92	0	0.244600080163650	-0.244600080163650
93	0	0.191815959596229	-0.191815959596229
94	0	0.0573563285422744	-0.0573563285422744
95	0	0.0592603131425328	-0.0592603131425328
96	0	0.0244876131488712	-0.0244876131488712
97	0	0.153772750261163	-0.153772750261163
98	0	0.439989562862548	-0.439989562862548
99	0	0.272007354811485	-0.272007354811485
100	0	0.088453928815495	-0.088453928815495
101	0	0.0615676590906199	-0.0615676590906199
102	0	0.180192690548797	-0.180192690548797
103	0	0.0477490084523434	-0.0477490084523434
104	0	0.0389790499361224	-0.0389790499361224
105	0	0.0461781822645077	-0.0461781822645077
106	0	0.0719654701106135	-0.0719654701106135
107	0	0.0655283537781596	-0.0655283537781596
108	0	0.130604621801949	-0.130604621801949
109	0	0.0664805877838685	-0.0664805877838685
110	0	0.103234219610294	-0.103234219610294
111	0	0.0737709470649998	-0.0737709470649998
112	0	0.103466976342529	-0.103466976342529
113	0	0.0240099748294150	-0.0240099748294150
114	0	0.0471891521892085	-0.0471891521892085
115	0	0.154644081966999	-0.154644081966999
116	0	0.213695360074448	-0.213695360074448
117	0	0.111252809085913	-0.111252809085913
118	0	0.056265973671689	-0.056265973671689
119	0	0.078839130003428	-0.078839130003428
120	0	0.134843754318156	-0.134843754318156
121	0	0.063058898777656	-0.063058898777656
122	0	0.0777752166961446	-0.0777752166961446
123	0	0.061665668434645	-0.061665668434645
124	0	0.0583203658885863	-0.0583203658885863
125	0	0.0525137377794982	-0.0525137377794982
126	0	0.069093253049062	-0.069093253049062
127	0	0.203630470156548	-0.203630470156548
128	0	0.148683339293920	-0.148683339293920
129	0	0.0737635043693555	-0.0737635043693555
130	0	0.305468737632897	-0.305468737632897
131	0	0.251452507646977	-0.251452507646977
132	0	0.139410512312778	-0.139410512312778
133	0	0.0533422820091796	-0.0533422820091796
134	0	0.0301462636085424	-0.0301462636085424
135	0	0.0794194594387392	-0.0794194594387392
136	0	0.138760626844520	-0.138760626844520
137	0	0.0967141908314234	-0.0967141908314234
138	0	0.149050891140936	-0.149050891140936
139	0	0.0353330039880752	-0.0353330039880752
140	0	0.135632586857428	-0.135632586857428
141	0	0.0450710418924241	-0.0450710418924241
142	0	0.171663238850405	-0.171663238850405
143	0	0.221354717864315	-0.221354717864315
144	0	0.125520741822165	-0.125520741822165
145	0	0.08963463495656	-0.08963463495656
146	0	0.071185012185278	-0.071185012185278
147	0	0.038918455105272	-0.038918455105272
148	0	0.0697756260663758	-0.0697756260663758
149	0	0.0252414544489488	-0.0252414544489488
150	0	0.0924356209755256	-0.0924356209755256
151	0	0.0496627328824987	-0.0496627328824987
152	0	0.0618472311412037	-0.0618472311412037
153	0	0.158734879080173	-0.158734879080173
154	0	0.174454085817894	-0.174454085817894
155	0	0.259770740692711	-0.259770740692711
156	0	0.20404690141063	-0.20404690141063
157	0	0.0750478347164712	-0.0750478347164712
158	0	0.0431924016427385	-0.0431924016427385
159	0	0.072409652409019	-0.072409652409019
160	0	0.110657265991632	-0.110657265991632
161	0	0.0942549169826373	-0.0942549169826373
162	0	0.0671269021607166	-0.0671269021607166
163	0	0.0652635124617502	-0.0652635124617502
164	0	0.628107578283931	-0.628107578283931
165	0	0.0480473041137751	-0.0480473041137751
166	0	0.147509825762597	-0.147509825762597
167	0	0.183535266286557	-0.183535266286557
168	0	0.205661120007889	-0.205661120007889
169	0	0.153004331653496	-0.153004331653496
170	0	0.0329255153952889	-0.0329255153952889
171	0	0.0815808480533838	-0.0815808480533838
172	0	0.083663996721059	-0.083663996721059
173	0	0.067917708651809	-0.067917708651809
174	0	0.111922802142952	-0.111922802142952
175	0	0.0278206498401097	-0.0278206498401097
176	0	0.0734477903571104	-0.0734477903571104
177	0	0.156863961306298	-0.156863961306298
178	0	0.0947105328040415	-0.0947105328040415
179	0	0.0294808621763945	-0.0294808621763945
180	0	0.0716356068054134	-0.0716356068054134
181	0	0.0885349472675661	-0.0885349472675661
182	0	0.0271183550245879	-0.0271183550245879
183	0	0.067064799799286	-0.067064799799286
184	0	0.146310614782424	-0.146310614782424
185	0	0.0516601554355914	-0.0516601554355914
186	0	0.227793190235657	-0.227793190235657
187	0	0.156587993340823	-0.156587993340823
188	0	0.091654085049651	-0.091654085049651
189	0	0.122000446172694	-0.122000446172694
190	0	0.192611124987430	-0.192611124987430
191	0	0.0658949033144519	-0.0658949033144519
192	0	0.526963621423226	-0.526963621423226
193	0	0.116491542644429	-0.116491542644429
194	0	0.106845234931619	-0.106845234931619
195	0	0.122041717436661	-0.122041717436661
196	0	0.0839177670604816	-0.0839177670604816
197	0	0.209265337168547	-0.209265337168547
198	0	0.137034860617918	-0.137034860617918
199	0	0.410930967812412	-0.410930967812412
200	0	0.0543568753660245	-0.0543568753660245
201	0	0.0481451390118155	-0.0481451390118155
202	0	0.171764188983164	-0.171764188983164
203	0	0.104119486022745	-0.104119486022745
204	0	0.0394493048881874	-0.0394493048881874
205	0	0.354379190535863	-0.354379190535863
206	0	0.101441136598422	-0.101441136598422
207	0	0.0942199941248112	-0.0942199941248112
208	0	0.123354142569758	-0.123354142569758
209	0	0.130230192142249	-0.130230192142249
210	0	0.108751375977185	-0.108751375977185
211	0	0.193465999533745	-0.193465999533745
212	0	0.208684995839562	-0.208684995839562
213	0	0.198177015841761	-0.198177015841761
214	0	0.0302349657575018	-0.0302349657575018
215	0	0.157158012033382	-0.157158012033382
216	0	0.0297232919795365	-0.0297232919795365
217	0	0.0605568840671734	-0.0605568840671734
218	0	0.082476306994311	-0.082476306994311
219	0	0.142960915061600	-0.142960915061600
220	0	0.0903027153614603	-0.0903027153614603
221	0	0.0561189333884187	-0.0561189333884187
222	0	0.0873709725148675	-0.0873709725148675
223	0	0.109696051897904	-0.109696051897904
224	0	0.0539635598031299	-0.0539635598031299
225	0	0.101775527786874	-0.101775527786874
226	0	0.130931402982169	-0.130931402982169
227	0	0.104501723691581	-0.104501723691581
228	0	0.0627777114154358	-0.0627777114154358

Type I & II errors for various threshold values
Threshold	Type I	Type II
0.01	0	1
0.02	0	1
0.03	0	0.965
0.04	0	0.905
0.05	0.0714285714285714	0.84
0.06	0.107142857142857	0.775
0.07	0.107142857142857	0.635
0.08	0.214285714285714	0.555
0.09	0.214285714285714	0.49
0.1	0.285714285714286	0.435
0.11	0.321428571428571	0.37
0.12	0.357142857142857	0.34
0.13	0.392857142857143	0.305
0.14	0.392857142857143	0.255
0.15	0.428571428571429	0.225
0.16	0.5	0.175
0.17	0.535714285714286	0.17
0.18	0.571428571428571	0.15
0.19	0.571428571428571	0.14
0.2	0.571428571428571	0.115
0.21	0.678571428571429	0.085
0.22	0.678571428571429	0.08
0.23	0.678571428571429	0.07
0.24	0.678571428571429	0.06
0.25	0.714285714285714	0.05
0.26	0.75	0.04
0.27	0.75	0.04
0.28	0.75	0.035
0.29	0.75	0.035
0.3	0.75	0.035
0.31	0.785714285714286	0.03
0.32	0.785714285714286	0.03
0.33	0.785714285714286	0.03
0.34	0.821428571428571	0.03
0.35	0.821428571428571	0.03
0.36	0.821428571428571	0.025
0.37	0.821428571428571	0.025
0.38	0.821428571428571	0.025
0.39	0.821428571428571	0.025
0.4	0.857142857142857	0.025
0.41	0.857142857142857	0.025
0.42	0.857142857142857	0.02
0.43	0.857142857142857	0.02
0.44	0.857142857142857	0.015
0.45	0.857142857142857	0.01
0.46	0.857142857142857	0.01
0.47	0.857142857142857	0.01
0.48	0.892857142857143	0.01
0.49	0.892857142857143	0.01
0.5	0.928571428571429	0.01
0.51	0.964285714285714	0.01
0.52	0.964285714285714	0.01
0.53	0.964285714285714	0.005
0.54	0.964285714285714	0.005
0.55	0.964285714285714	0.005
0.56	0.964285714285714	0.005
0.57	0.964285714285714	0.005
0.58	0.964285714285714	0.005
0.59	0.964285714285714	0.005
0.6	0.964285714285714	0.005
0.61	0.964285714285714	0.005
0.62	0.964285714285714	0.005
0.63	0.964285714285714	0
0.64	0.964285714285714	0
0.65	0.964285714285714	0
0.66	0.964285714285714	0
0.67	0.964285714285714	0
0.68	0.964285714285714	0
0.69	0.964285714285714	0
0.7	0.964285714285714	0
0.71	0.964285714285714	0
0.72	0.964285714285714	0
0.73	0.964285714285714	0
0.74	0.964285714285714	0
0.75	0.964285714285714	0
0.76	1	0
0.77	1	0
0.78	1	0
0.79	1	0
0.8	1	0
0.81	1	0
0.82	1	0
0.83	1	0
0.84	1	0
0.85	1	0
0.86	1	0
0.87	1	0
0.88	1	0
0.89	1	0
0.9	1	0
0.91	1	0
0.92	1	0
0.93	1	0
0.94	1	0
0.95	1	0
0.96	1	0
0.97	1	0
0.98	1	0
0.99	1	0