A) Find good predictors for your regression models in R. Examine the data for these two datasets (In the images attached. I would try to add full datatables in the text but the 5000 character count limits me so I can only provide images of the datatables for braincancer.csv and heart.csv instead, sorry for the inconvenience). For braincancer.csv, predict the status variable (0 – alive, 1 – deceased). For Heart.csv, predict AHD (Acquired Heart Disease, 0 – no, 1 - yes). Use R’s summary function to show you how good your chosen models are. For instance, the default code below is not doing a very good job predicting status; only 1 of the two predictors has minimal statistical significance and the Adjusted R-Squared value is very low. When you have found good predictors, paste the result of the summary output for both datasets as comments in your Python file for part B. regression.r code: regression1 <- lm(formula = status ~ ki + gtv, data = BrainCancer) summary(regression1)
A) Find good predictors for your regression models in R.
Examine the data for these two datasets (In the images attached. I would try to add full datatables in the text but the 5000 character count limits me so I can only provide images of the datatables for braincancer.csv and heart.csv instead, sorry for the inconvenience). For braincancer.csv, predict the status variable (0 – alive, 1 – deceased). For Heart.csv, predict AHD (Acquired Heart Disease, 0 – no, 1 - yes).
Use R’s summary function to show you how good your chosen models are. For instance, the default code below is not doing a very good job predicting status; only 1 of the two predictors has minimal statistical significance and the Adjusted R-Squared value is very low. When you have found good predictors, paste the result of the summary output for both datasets as comments in your Python file for part B.
![sex diagnosis loc
BrainCancer
ki gtv stereo status time
Infratentorial 90 6.11 SRS
57.64
Supratentorial 90 19.35 SRT
Infratentorial 70 7.95 SRS
Supratentorial 80 7.61 SRT
Supratentorial 90 5.06 SRT
Supratentorial 80 4.82 SRS
1 Female Meningioma
2 Male HG glioma
3 Female Meningioma
4 Female LG glioma
5 Male HG glioma
6 Female Meningioma
7 Male Meningioma Supratentorial 80 3.19 SRT
8 Male
9 Female
10 Male
11 Male
LG glioma
Meningioma
HG glioma
LG glioma
12 Female Meningioma
13 Female Meningioma
14 Male ΝΑ
15 Female Meningioma
16 Female HG glioma
17 Female Other
Supratentorial 80 12.37 SRT
Supratentorial 70 12.16 SRT
Supratentorial 100 2.53 SRT
Supratentorial 80 0.14 SRT
Infratentorial 90 6.54 SRS
Infratentorial 90 0.63 SRS
Supratentorial 90 6.38 SRT
Supratentorial 60 9.18 SRT
Supratentorial 70 11.38 SRS
Infratentorial 60 24 SRT
HG glioma
Supratentorial 90 10.8 SRT
19 Male Meningioma Supratentorial 80 13.49 SRS
20 Female Meningioma Supratentorial 90 2.5 SRT
21 Female Meningioma
22 Male HG glioma
23 Female Other
24 Female Meningioma
25 Female Meningioma
26 Male
LG glioma
Other
18 Male
27 Male
Supratentorial 80 2.82 SRS
Supratentorial 70 14.44 SRT
Infratentorial 80 2.11 SRS
Infratentorial 100 2.13 SRS
Supratentorial 70 6.48 SRT
Supratentorial 90 4.23 SRT
Supratentorial 60 34.64 SRT
28 Male
HG glioma Supratentorial 70 33.69 SRT
29 Male Meningioma Supratentorial 60 3.81 SRT
30 Female Meningioma Supratentorial 90 4.72 SRS
31 Female LG glioma Supratentorial 80 0.85 SRS
32 Male Meningioma Supratentorial 90 2.56 SRS
Infratentorial 70 13.45 SRT
Infratentorial 80 6.81 SRS
35 Female Meningioma Supratentorial 90 7.3 SRT
36 Female Other
33 Female Other
34 Male Other
Supratentorial 70 14.26 SRT
38 Male
39 Male
HG glioma
Other
37 Female Meningioma Supratentorial 80 6.6 SRT
Supratentorial 90 9.95 SRT
Infratentorial 80 12.51 SRT
40 Female Meningioma Supratentorial 90 2.54 SRT
41 Female Meningioma Supratentorial 80 1.57 SRT
42 Male HG glioma
Supratentorial 90
43 Female Meningioma Supratentorial 70
44 Male Meningioma Supratentorial 80 12.63 SRT
45 Male Other
0.28 SRT
6.7 SRT
Infratentorial 90
3.12 SRT
60 7.09 SRS
46 Male Meningioma Supratentorial
0
1
0
1
1
0
0
52.75
55.8
42.1
0 34.66
0 11.48
1 35.93
0 34.26
0 32.98
0 50.85
0 41.44
1 7.05
1 6.82
0 82.56
1 6.92
0 30.16
24.39
0
1
0
1
0
8.98
26.46
47.8
6.3
1
14
10.49
51.02
1 33.41
1 25.02
1 11.57
1
0
1
0
1 0.07
0 36.1
0 65.02
6.1
44.39
10.82
57.11
5.51
0 7.18
0
0 14.75
6.23
1 29.7
0 45.74
0 2.03
1 16.43
0 14.56
1 4.16
0 18.95
1 31.25
Supratentorial
80 29.27 SRT
47 Male HG glioma
48 Female Meningioma Supratentorial
80 26.31 SRT
0.97 SRT
0.19 SRS
51 Female HG glioma
52 Female Meningioma
53 Male
HG glioma
54 Male Meningioma
55 Female HG glioma
Other
56 Male
57 Male
49 Male Meningioma Supratentorial 70
50 Female LG glioma Supratentorial 80
Supratentorial 90 0.04 SRT
Infratentorial 90 9.24 SRT
Supratentorial 90 2.5 SRT
Infratentorial 80 24.41 SRT
Supratentorial 80 0.63 SRT
Infratentorial 90 0.48 SRS
Infratentorial 80 0.22 SRS
Supratentorial 80 3.75 SRT
Supratentorial 80 11.83 SRT
60 Female Meningioma Supratentorial 90 2.47 SRT
61 Female HG glioma Supratentorial 80 12.08 SRT
62 Male Meningioma Supratentorial 80 11.51 SRT
63 Female HG glioma Supratentorial 40 22.87 SRT
64 Male Meningioma Supratentorial 80 4.77 SRT
65 Male
LG glioma
Supratentorial 80 9.58 SRT
66 Female Meningioma Supratentorial 100 4 SRT
67 Female HG glioma Supratentorial 80 7.59 SRT
0.01 SRS
6.93 SRS
58 Male
59 Female
74 Female
75 Male Other
68 Male Other
Infratentorial 70
69 Female Meningioma Supratentorial 80
70 Female Meningioma Supratentorial 70 3.63 SRT
71 Male Meningioma Supratentorial 70 8.45 SRT
72 Male Meningioma Supratentorial 80 20.93 SRT
73 Male
LG glioma
Supratentorial 90 2.64 SRT
HG glioma Supratentorial 80 0.19 SRT
Supratentorial 100 24.91 SRT
76 Female Meningioma Supratentorial 80 31.74 SRT
77 Female Meningioma Supratentorial 80 2.39 SRS
78 Female Meningioma Supratentorial 90 7.26 SRT
79 Female Meningioma Supratentorial 100 9.66 SRT
80 Female Meningioma Infratentorial 70 2.94 SRS
81 Female HG glioma
Supratentorial 80 15.45 SRT
82 Female Other
Supratentorial 90 1.82 SRT
LG glioma
Infratentorial 90 30.41 SRT
HG glioma
Supratentorial 80 0.16 SRT
HG glioma
Supratentorial 80 19.81 SRT
Meningioma Supratentorial 90 2.5 SRT
Meningioma Supratentorial 90 2.02 SRS
Other
Infratentorial 80
83 Male
84 Male
85 Male
86 Male
87 Male
88 Male
0.11 SRT
HG glioma
HG glioma
Other
0
5.15
1 39.54
1 1.41
0 11.51
0 31.67
0 26.85
1 9.77
0 39.54
1
16.92
0 54.43
0 33.67
1 19.9
1 22.03
0 17.57
1
7.25
1 14.62
1 3.38
0 67.38
0 78.75
0 52.23
1 4.56
0 23.67
0 10.1
0 32.82
0 19.41
1 31.15
0 20.13
1 11.02
0 19.74
0 57.25
0 73.74
0 49.05
0 39.25
0 1.54
1 46.16
0 47.11
0 1.18
1
20.69
6.39
0 32.82
0 42.07
0 13.9
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![1
2
3
4
5
6
Age Sex ChestPain RestBP Chol Fbs RestECG MaxHR ExAng Oldpeak Slope Ca Thal
145 233 1
63 1 typical
150
3
0 fixed
67
160 286 0
108
2
1 asymptomatic
67
1 asymptomatic
120 229
0
2
129
37
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nonanginal
130 250
0
187
41
0 nontypical
130 204
0
172
56
1 nontypical
120 236
0
178
7
62 0 asymptomatic
140 268
0
160
8 57
0 asymptomatic 120 354
0
163
9
63
147
1 asymptomatic
130 254
0
10 53
1 asymptomatic
140 203
1
155
11
57
1 asymptomatic
140 192
0
148
12 56
0 nontypical
140 294
153
13 56
142
1 nonanginal
130 256 1
14 44
1 nontypical
120 263
0
173
15 52
1 nonanginal
172 199
1
162
16 57
1 nonanginal
150 168
174
17 48 1 nontypical
168
18 54 1 asymptomatic
160
19 48 0 nonanginal
139
20 49 1 nontypical
171
21 64
1 typical
22 58
0 typical
23 58
1 nontypical
24 58
1 nonanginal
25 60
1 asymptomatic
26 50
0 nonanginal
27 58
0 nonanginal
28 66
0 typical
29 43
1 asymptomatic
30 40
1 asymptomatic
31 69
0 typical
32 60
33 64
34 59
35 44
36 42
37 43
38 57
39 55
40 61
41
65
42 40
43 71
44 59
45 61
46
58
47
51
48 50
49 65
50 53
51
41
52 65
53
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54
44
55
56
1 nonanginal
1 asymptomatic
0 nonanginal
1 nonanginal
0 nontypical
1 asymptomatic
1 asymptomatic
1 nontypical
1 asymptomatic
1 asymptomatic
1 nonanginal
1 asymptomatic
1 nonanginal
1 typical
0 asymptomatic
0 nonanginal
1 asymptomatic
0 nonanginal
1 asymptomatic
1 asymptomatic
1 nonanginal
1 nonanginal
1 asymptomatic
70 46
1 nonanginal
71 65 0 nonanginal
72 67
73 62
74 65
75 44
76 65
77
60
1 asymptomatic
78 51
0 nonanginal
79 48
1 nontypical
80 58
1 asymptomatic
81
45
1 asymptomatic
82 53
0 asymptomatic
83 39
1 nonanginal
84
68
1 nonanginal
85 52
1 nontypical
86 44 1 nonanginal
87 47 1 nonanginal
88 53 0 nonanginal
89 53
90 51
91 66
92 62
93
60
54
57 50
58 41
59 54
60
51
61 51
62 46
63
58
64 54
65
54
66 60
67 60
68 54
69 59
1 asymptomatic
1 nonanginal
1 asymptomatic
1 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 nonanginal
0 asymptomatic
1 typical
0 nontypical
1 nonanginal
0 asymptomatic
1 nonanginal
94
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
0 nonanginal
0 asymptomatic
0 nonanginal
1 asymptomatic
0 asymptomatic
62 1 nonanginal
44 0 nonanginal
110 229
140 239
130 275
130 266
110 211
0
140 235
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138 257
0
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0
0
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150 283 1
120 284
0
132 224
0
130 206
0
120 219
0
120 340
0
150 226
0
150 247
0
110 167
0
140 239
117 230
140 335
135 234
130 233
140 226
120 177
150 276
132 353
150 243
150 225
140 199
160 302
150 212
130 330
112 230
0
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0
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0
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110 175
0
150 243
0
140 417
1
130 197
1
105 198 0
120 177 0
112 290
0
130 219
0
130 253 0
124 266
0
140 233
110 172
125 273
125 213
0
130 305 0
142 177
0
128 216
0
135 304
1
120 188
0
145 282
140 185
150 232
170 326
150 231
0
155 269 0
125 254 1
120 267
0
110 248
0
110 197 0
160 360
0
125 258
0
140 308
130 245
0
150 270
0
104 208
0
130 264 0
140 321
0
180 274
1
120 325
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0
0
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0
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128 216
0
138 234
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130 256
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120 302 0
160 164
130 231
108 141
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0
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162
160
173
132
158
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114
171
114
151
160
158
161
179
178
120
112
132
137
114
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162
157
169
165
123
128
157
152
168
140
153
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144
109
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113
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1.5
2.6
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0.6
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3 normal
2 reversable
0 normal
0 normal
0 normal
2 normal
0 normal
1
reversable
0 reversable
0 fixed
0 normal
1 fixed
0 reversable
0 reversable
0 normal
0 reversable
0 normal
0 normal
0 normal
0 normal
0 normal
2
0 normal
1
2 reversable
2
2 reversable
2
0 normal
1 0 normal
3
0 normal
1
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2
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1
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1
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1
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2
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1
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2
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3 reversable
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3 0 normal
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2 1 reversable
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3 1 normal
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2 0 normal
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1 2 fixed
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2 0 reversable
1
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0 normal
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3 3 reversable
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2 0 normal
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0
1
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1
0
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95
96
97
98
99
100
48
101
45
102 34
103 57
104 71
105
49
106
54
107 59
108 57
109 61
110 39
111
61
112
56
113 52
114 43
115 62
116 41
117 58
118 35
119 63
63
52
59
60
52
120 65
121 48
122 63
123 51
124 55
125 65
126 45
127 56
128 54
129 44
130 62
131 54
132 51
133 29
134 51
135 43
136 55
137 70
138 62
139 35
140 51
141 59
142 59
143 52
144 64
145 58
146 47
147 57
148 41
149 45
150 60
151 52
152 42
153 67
154 55
155 64
156 70
157 51
158 58
159 60
160 68
161 46
162 77
163 54
164 58
165 48
166 57
167 52
168 54
169 35
170 45
171 70
172 53
173 59
174 62
175 64
17€ 57
177 52
178 56
179 43
180 53
181 48
182 56
183 42
184 59
185 60
186 63
187 42
188 66
189 54
190 69
0 nonanginal
1 asymptomatic
1 asymptomatic
0 asymptomatic
1 nontypical
1 asymptomatic
1 asymptomatic
1 typical
0 asymptomatic
0 nonanginal
1 nonanginal
1 nontypical
1 asymptomatic
1 nonanginal
1 asymptomatic
1 asymptomatic
0 asymptomatic
1 asymptomatic
1 typical
0 asymptomatic
0 nonanginal
1 nontypical
1 nonanginal
0 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
0 asymptomatic
1 nonanginal
1 asymptomatic
1 typical
0 nontypical
0 asymptomatic
1 asymptomatic
1 nontypical
0 asymptomatic
1 nonanginal
1 nonanginal
1 nontypical
1 asymptomatic
0 nonanginal
0 nontypical
1 asymptomatic
1 nontypical
1 asymptomatic
1 nonanginal
1 nontypical
1 typical
1 nontypical
1 nonanginal
1 nonanginal
1 nonanginal
1 asymptomatic
1 nonanginal
1 nontypical
0 nonanginal
1 typical
0 asymptomatic
0 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 nonanginal
1 nontypical
1 asymptomatic
0 nonanginal
0 asymptomatic
1 nonanginal
1 asymptomatic
1 nonanginal
0 nontypical
1 asymptomatic
0 nontypical
1 nonanginal
1 asymptomatic
0 asymptomatic
0 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 nonanginal
1 nonanginal
135 252 0
128 255
110 239
150 258
134
122 222
201
115 260
118 182
oooooooo
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1 asymptomatic
124 274
0 asymptomatic 134 409
1 typical
148 244
1 typical
178 270
0 asymptomatic
158 305
0 nontypical
140 195
1 nonanginal
120 240
1 nontypical
160 246
1 nontypical
192 283
1 nonanginal
140 254
0
0
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128 303
110 265 1
120 188 0
108 309
0
140 177
128 229
120 260
118 219
145 307
125 249
118 186
132 341
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130 263 0
135 203
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140 211
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138 183
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130 330
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100 222
140 217
138 282
130 234
200 288
110 239
120 220
124 209
120 258
94 227
130 204
140 261
122 213
135 250
145 174
120 281
120 198
125 245
140 221
170 288
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128 205
125 309
105 240
108 243
165 289
112 250
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102 318
152 298
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115 564
160 289
120 246
130 322
140 299
125 300
140 293
118 277
101 197
125 304
110 214
100 248
124 255
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138 223
132 288 1
126 282 0
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160 269
142 226
174 249
140 394
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152 274 0
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132 184 0
130 315
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2
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N N N N N ON NOONONOO ON NOON ON NOON ON
2
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2
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172
161
142
157
158
186
185
174
159
130
139
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140
140
146
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190
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97
132
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182
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112
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161
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194
120
195
146
0
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0
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2
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2
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1 reversable
2 reversable
1 normal
2
1
1
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1 normal
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3 reversable
0 reversable
1 reversable
1 reversable
1 reversable
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1 reversable
0 fixed
0 normal
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3 reversable
1 reversable
2 reversable
3 reversable
0 normal
0 reversable
1 normal
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2 reversable
1 reversable
0 normal
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1
reversable
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2
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1
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0
1
1
1
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1000
0
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1
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1
1
1
1
0
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1
1
1
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1
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1
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0
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1
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1
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1
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1
1
0
0
1
0
0
1
1
1
191 50
192
51
193 43
194 62
195 68
196 67
197 69
198
45
199 50
200 59
201 50
202 64
203 57
204
64
205 43
206 45
207 58
208 50
209 55
210 62
211
37
212 38
213 41
214 66
215 52
216
56
217 46
218 46
219 64
220 59
221 41
222 54
223 39
224 53
225
226 34
J
63
227 47
228 67
229 54
230
66
231 52
232
55
233
49
234
74
235 54
236
54
237 56
238 46
239 49
240
42
241 41
242
41
243 49
244
61
245 60
246
67
247 58
248
47
249
52
250
62
251 57
252
58
253 64
254 51
255 43
42
n
1 nonanginal
1 asymptomatic
1 asymptomatic
0 asymptomatic
0 nonanginal
58
1 asymptomatic
1 typical
0 asymptomatic
0 nontypical
1 typical
0 asymptomatic
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1 nonanginal
0 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 nontypical
0 asymptomatic
0 nonanginal
1 typical
1 nonanginal
0 asymptomatic
1 asymptomatic
1 typical
0 nontypical
0 asymptomatic
0 asymptomatic
1 asymptomatic
0 nonanginal
0 nonanginal
0 nonanginal
1 asymptomatic
0 asymptomatic
0 nontypical
1 asymptomatic
0 nonanginal
1 asymptomatic
1 asymptomatic
0 nonanginal
0 asymptomatic
1 nonanginal
0 nontypical
0 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
0 nontypical
1 nontypical
1 nontypical
0 nontypical
0 asymptomatic
1 typical
0 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 asymptomatic
nontypical
1 asymptomatic
1 asymptomatic
1 asymptomatic
0 nonanginal
1 asymptomatic
0 nonanginal
0 asymptomatic
0 nonanginal
1 nontypical
1 nontypical
0 nonanginal
0 nontypical
0 typical
1 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
1 nonanginal
256
257
67
258
76
259 70
260 57
261 44
262 58
263
60
264 44
265 61
266 42
267
52
268
59
269
40
270 42
271
61
272
66
273 46
274 71
275 59
276 64
1 typical
277 66
0 nonanginal
278
39
0 nonanginal
279
57
1 nontypical
280
58
0 asymptomatic
281
57
1 asymptomatic
282
47
1 nonanginal
283
55
0 asymptomatic
284
35
1 nontypical
285 61
1 asymptomatic
286
58
1 asymptomatic
287
0 asymptomatic
288 58
1 nontypical
289 56
1 nontypical
290 56
1 nontypical
291 67
1 nonanginal
292 55
0 nontypical
293
44
1 asymptomatic
294
63 1 asymptomatic
295 63
0 asymptomatic
296
41
1 nontypical
297 59
1 asymptomatic
298 57
0 asymptomatic
299
45
1 typical
300
68 1 asymptomatic
301
57
1 asymptomatic
302
57
0 nontypical
303
38 1 nonanginal
1 asymptomatic
1 nonanginal
1 asymptomatic
1 asymptomatic
1 asymptomatic
0 asymptomatic
1 typical
129 196
0
140 298 0
132 247
138 294
1
1
120 211
0
100 299
0
160 234
1
138 236 0
120 244
160 273
110 254
180 325
150 126 1
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152 277
110 206
112 212
136 196
180 327
149
118
120
269
160 201
122 286
130 283
120 249
0
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0
0
0
140 313
110 211 0
142 309
128 259
0
144 200 0
130 262
0
150 244
0
120 215
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120 231
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130 214 0
178 228
1
112 230
120 193
105 204
138 243
130 303
138 271
112 268
108 267
94 199
123 282
108
269
118 210
112 204
oooo
0
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134 271 0
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126 306 0
130 269
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120 237
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115 303
120 209
106 223
140 197
156 245
124 261
118 242
136 319
150 240
120 226
138 166
136 315
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126 218
152 223
130 180
140 207
160 228
140 311
112 149
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146 278
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130 253
128 205
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148 203 0
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170 225
125 220
130 221
120 240
152 212
132 342
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140 187 0
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124 197 0
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164 176 1
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| |
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2
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