Statistics Question

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ASSIGNMENT AT ECONOMETRICS , MUST BE EXECUTED AT R – SIMPLE AND MULTIPLE LINEAR REGRESSION – TIME SERIES – GENERALISED LINEAR MODELS

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2008 Q1
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2009 Q1
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2010 Q1
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2011 Q1
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2012 Q1
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2013 Q1
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2014 Q1
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2015 Q1
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2016 Q1
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2017 Q1
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2018 Q1
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2019 Q1
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2020 Q1
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2021 Q1
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Y1
X1
X2
X3
X4
X5
X6
X7
0.2879
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0.0181
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0.0013
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0.0431
Q3
Q4
2022 Q1
Q2
Q3
Q4
-0.0023
-0.2220
0.0614
0.2629
0.1266
-0.1873
0.0216
0.0334
0.0159
0.0203
0.0187
0.0158
0.0276
0.0308
0.0163
0.0121
0.0168
0.0122
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0.0302
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0.0468
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0.0268
0.0190
0.0544
0.0979
0.0174
-0.0197
X8
X9
X10
X11
X12
X13
X14
X15
X16
X17
0.2203
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X18
X19
X20
X21
X22
X23
X24
X25
X26
X27
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X32
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-0.0297
-0.0966
0.0781
-0.0424
-0.0154
-0.0294
-0.0329
0.0178
0.0488
0.0120
-0.0416
-0.0169
-0.1005
0.1229
0.0136
0.0104
-0.0657
0.0660
-0.0249
-0.0717
-0.0286
0.0519
-0.0369
-0.0122
-0.1029
0.0993
-0.0593
0.0160
0.0766
0.1318
0.0954
-0.1106
0.0072
0.0978
0.0259
0.0822
0.0194
0.0536
-0.3497
0.3121
-0.0122
0.0738
-0.0322
0.0831
0.0059
0.0145
-0.0403
0.0013
0.1244
-0.0417
0.1952
-0.0540
0.0931
-0.0104
0.0221
-0.0421
-0.0735
-0.0977
0.0336
0.0145
-0.0012
-0.0747
-0.0269
0.0355
0.0676
0.0368
0.0721
0.0638
0.0492
-0.0186
0.0179
0.0474
-0.0688
-0.0032
0.0258
-0.0408
-0.0033
-0.0758
-0.0134
0.0355
0.0611
-0.0472
0.0940
0.1159
-0.0785
0.0410
0.0221
0.0438
-0.0370
0.0105
-0.0155
-0.3410
0.2433
-0.0698
0.0012
0.1140
0.0937
0.1378
0.1278
-0.1414
-0.1894
-0.1335
-0.1435
-0.0621
-0.1319
-0.1018
-0.0579
0.2299
0.1461
0.0258
0.0038
0.0249
0.0004
0.0283
-0.0085
-0.0381
0.0311
0.0271
0.0129
0.0540
0.1018
0.1115
0.1719
0.0441
0.0028
-0.0443
-0.0283
0.0004
0.0126
-0.0745
0.0102
-0.0586
-0.0378
-0.0056
-0.0095
-0.0271
0.1436
-0.0220
0.0537
0.0393
0.0379
-0.0120
-0.0401
-0.0640
-0.3721
0.3211
0.0453
0.0466
0.2195
-0.2276
-0.4770
-0.1781
0.3217
0.0540
-0.1707
0.0753
0.1437
-0.1171
-0.1210
-0.0223
0.2681
-0.0202
-0.1143
0.1128
0.2856
0.0389
-0.0991
0.0493
0.2743
-0.0396
-0.0846
-0.0445
0.2635
-0.0522
-0.0999
-0.0102
0.3544
-0.1211
-0.0739
-0.0301
0.2097
-0.0329
-0.0978
0.0360
0.1916
-0.0674
-0.0837
0.0449
0.1883
-0.1159
-0.1025
-0.0449
0.2040
0.0102
-0.0391
-0.0190
-0.0229
0.2052
-0.0016
0.0617
0.1266
-0.0332
0.0524
0.0096
0.0030
0.0306
0.0593
-0.0156
-0.0037
0.0107
-0.0256
0.0361
0.0501
-0.0032
-0.0045
-0.0850
0.0889
0.0303
0.0130
0.0144
-0.0336
0.0078
-0.0694
-0.0271
0.0012
-0.0012
0.0250
0.0207
-0.0352
0.1038
0.0441
0.0254
-0.0414
0.0531
0.0603
0.0647
0.0236
0.0136
-0.0166
0.0079
0.1075
0.1620
-0.0245
0.0284
0.0291
0.0610
0.0445
0.0449
0.0870
0.0747
0.0727
0.1007
-0.0066
0.1677
0.0821
-0.0691
-0.0298
0.0618
0.0989
-0.1584
-0.2134
X48
X49
X50
X51
X52
0.0345
-0.2116
-0.2960
-0.1703
0.0376
0.0812
0.0271
0.0536
-0.0923
-0.0437
0.0161
-0.0284
0.0758
0.0232
0.0993
0.0841
0.0288
0.1204
0.0470
0.0396
0.0348
0.0027
0.0374
0.0013
0.0116
0.0260
0.0078
0.0071
0.1614
-0.1014
0.0470
-0.0435
0.0318
0.0355
0.0081
0.0270
-0.0076
0.0097
0.0262
0.0285
0.0007
-0.0369
-0.0036
-0.0049
0.0257
0.0789
0.0335
-0.0280
-0.1639
0.2424
0.0668
0.0671
-0.0462
-0.0915
-0.0690
-0.1646
-0.1142
-0.0992
-0.0885
0.0071
0.0381
-0.0926
-0.0655
-0.0080
-0.0368
0.0083
0.0205
-0.0456
0.0210
0.0165
0.1045
0.0432
-0.0395
0.0639
0.0761
0.0557
-0.0213
0.0122
0.0181
0.0775
0.0299
0.1305
0.0233
-0.0092
0.0365
-0.0623
-0.0314
0.0073
0.0049
0.0497
0.0318
0.0287
0.0384
0.0228
0.0499
0.0363
0.0583
-0.1024
0.0020
0.1005
-0.1202
-0.0080
0.0375
0.0729
0.1626
0.1224
-0.0514
-0.1587
-0.2629
-0.2321
0.0164
0.0963
-0.0358
0.0850
-0.0262
-0.0378
-0.0666
0.0712
-0.0138
0.0754
0.0811
0.0517
0.0442
0.0540
0.1515
0.0487
-0.0938
0.0164
0.1341
-0.0772
0.0552
0.0433
0.0179
-0.0714
0.1700
0.0075
-0.0361
0.0153
0.0248
-0.0103
0.0632
-0.0147
-0.0275
-0.0017
0.0444
0.0518
-0.0157
-0.0285
-0.0690
0.0213
0.0710
0.0197
0.0765
0.0466
-0.3015
0.2871
0.0827
0.0044
0.0065
-0.0347
-0.0624
-0.1020
-0.1123
-0.1437
-0.0961
-0.1019
-0.0758
-0.0518
-0.0621
-0.0244
-0.0148
-0.0214
0.0000
0.0323
0.0455
0.0534
0.0500
0.0703
0.0785
0.0663
0.0525
0.0543
0.0422
0.0520
0.0482
0.0274
0.0230
0.0540
0.0466
0.0379
0.0213
0.0292
0.0277
0.0137
0.0164
0.0047
0.0099
0.0174
0.0081
0.0137
0.0027
0.0129
-0.0053
-0.0047
0.0166
0.0141
0.0323
-0.0181
0.0214
0.0285
0.0363
0.0397
-0.1393
-0.0128
-0.0349
-0.2581
0.0106
-0.0633
0.0129
-0.1600
0.1570
-0.2616
-0.0421
0.0023
-0.0288
0.0987
-0.0498
-0.0423
0.1298
0.0458
0.0308
0.0850
-0.0467
0.0755
0.0392
0.0753
-0.0320
0.0751
0.0059
-0.0525
0.1355
0.0090
0.0020
0.0288
-0.0137
0.0344
0.0773
-0.0115
0.0289
-0.0239
0.0531
0.0254
0.0062
-0.0244
-0.0839
0.1582
-0.0434
-0.0130
0.0471
-0.0073
-0.0546
0.1020
-0.0015
0.0313
-0.0151
-0.0148
0.0542
0.0466
-0.0673
-0.0846
-0.1317
0.0411
0.0333
0.0551
0.0224
0.0422
-0.0146
-0.0139
0.0675
0.0239
-0.0430
-0.1276
-0.0330
0.0491
0.0567
0.0608
0.0547
0.0103
0.0078
-0.0379
0.0195
0.0013
0.0434
0.0062
0.0263
2008 Q1
Q2
Q3
Q4
2009 Q1
Q2
Q3
Q4
2010 Q1
Q2
Q3
Q4
2011 Q1
Q2
Q3
Q4
2012 Q1
Q2
Q3
Q4
2013 Q1
Q2
Q3
Q4
2014 Q1
Q2
Q3
Q4
2015 Q1
Q2
Q3
Q4
2016 Q1
Q2
Q3
Q4
2017 Q1
Q2
Q3
Q4
2018 Q1
Q2
Q3
Q4
2019 Q1
Q2
Q3
Q4
2020 Q1
Q2
Q3
Q4
2021 Q1
Q2
Y2
X1
X2
X3
X4
X5
X6
X7
0.0652
0.0985
-0.1765
-0.3618
0.1447
0.0312
0.0051
-0.0552
0.1270
0.0038
-0.1552
-0.0177
0.1485
0.0104
-0.1071
-0.0164
0.1401
0.0946
-0.1838
0.0897
0.1593
0.1129
-0.1319
-0.0898
0.1367
0.0787
-0.0696
-0.0395
0.1774
0.1090
-0.1673
0.0272
0.1411
0.0235
-0.0991
0.0799
0.1738
-0.0240
-0.0613
0.0053
0.0562
0.0366
-0.0181
-0.2091
0.1742
0.1152
-0.3269
-0.0207
-0.0387
0.3222
0.0495
-0.0967
0.0843
0.2879
-0.1805
-0.1854
-0.7219
0.5411
-0.0979
-0.1216
-0.4999
0.6282
0.1457
-0.3184
-0.5324
0.6929
-0.0595
0.0628
-0.5699
0.6267
0.1100
-0.1941
-0.3863
0.5617
-0.0441
-0.0331
-0.4085
0.5804
0.1019
-0.1313
-0.2776
0.6420
0.1392
-0.2707
-0.2774
0.7001
-0.0186
-0.2265
-0.2540
0.4332
0.0253
-0.1834
-0.3459
0.6705
-0.0317
-0.2239
-0.1587
0.4686
-0.0494
-0.2143
-0.0310
0.2057
0.1046
-0.0523
0.0163
0.3244
0.0108
0.0022
-0.0197
-0.0122
-0.0034
0.0047
0.0139
0.0077
0.0145
0.0107
0.0110
0.0027
0.0133
0.0058
0.0124
0.0142
0.0086
0.0069
0.0062
0.0126
0.0042
0.0126
0.0130
0.0007
0.0184
0.0159
0.0061
0.0077
0.0112
0.0062
0.0014
0.0051
0.0101
0.0088
0.0102
0.0095
0.0081
0.0132
0.0169
0.0130
0.0155
0.0105
0.0064
0.0093
0.0123
0.0121
0.0081
-0.0078
-0.0924
0.0842
0.0159
0.0277
0.0323
-0.0010
0.0022
-0.0046
-0.0458
0.0046
-0.0028
0.0067
-0.0074
0.0202
0.0097
0.0079
0.0159
0.0047
0.0110
-0.0066
0.0295
0.0058
0.0044
0.0269
-0.0071
0.0084
0.0014
0.0117
0.0223
0.0069
0.0126
0.0173
0.0146
0.0109
0.0092
0.0069
0.0044
0.0058
0.0099
0.0116
0.0118
0.0109
0.0137
0.0172
0.0111
0.0091
0.0142
0.0062
0.0216
0.0055
0.0060
0.0156
0.0157
-0.0676
0.0467
0.0373
0.0069
0.0287
0.0935
0.0855
0.1796
0.1754
0.0880
0.0311
0.0102
0.0000
-0.0518
0.0106
-0.0213
-0.0328
0.0110
-0.0110
-0.0572
-0.0359
0.0000
-0.0500
0.0127
-0.0520
0.0000
-0.0408
-0.0720
0.0000
-0.0938
-0.0333
-0.0522
-0.0364
-0.0187
-0.0583
0.0000
0.0000
-0.0202
0.0202
-0.0619
-0.0660
-0.0230
0.0000
-0.0476
-0.0247
0.0000
-0.0780
0.0526
-0.0260
-0.0541
-0.0282
0.0282
0.2007
0.9163
-0.3310
-0.1648
-0.0938
-0.0333
0.0245
-0.0001
-0.0399
0.0117
0.0139
0.0013
-0.0001
0.0078
0.0015
0.0022
0.0034
0.0194
0.0100
0.0052
-0.0054
0.0163
0.0004
0.0084
-0.0078
0.0137
0.0031
0.0028
-0.0047
0.0138
0.0086
-0.0013
-0.0136
0.0056
0.0106
-0.0029
-0.0060
0.0068
0.0120
0.0017
0.0000
0.0098
0.0047
0.0076
-0.0012
0.0122
0.0097
0.0018
-0.0048
0.0117
0.0076
0.0024
0.0008
0.0044
-0.0012
0.0096
0.0007
0.0168
0.0254
0.0164
0.0011
-0.0097
0.0060
0.0032
-0.0041
-0.0076
0.0023
0.0035
-0.0008
-0.0021
0.0244
0.0070
0.0038
0.0006
-0.0114
0.0070
0.0038
0.0006
0.0072
0.0107
0.0032
0.0004
0.0133
0.0083
0.0033
-0.0001
0.0075
0.0090
0.0045
-0.0006
0.0082
0.0115
0.0075
0.0027
0.0088
0.0106
0.0054
0.0034
0.0100
0.0090
0.0047
0.0054
0.0096
0.0097
0.0051
0.0015
0.0076
0.0057
0.0047
0.0021
0.0085
0.0156
-0.0191
0.0269
0.0113
-0.0102
0.0013
-0.0103
-0.0084
-0.0267
0.0044
-0.0075
-0.0071
-0.0015
0.0193
0.0056
-0.0106
-0.0113
0.0036
-0.0097
-0.0210
-0.0030
-0.0232
0.0054
-0.0087
0.0018
0.0085
0.0193
-0.0217
0.0055
0.0076
-0.0156
0.0116
0.0081
0.0060
0.0126
-0.0133
-0.0180
0.0115
-0.0118
-0.0010
0.0447
-0.0092
-0.0046
0.0101
0.0123
0.0165
-0.0213
-0.0142
0.0066
-0.0140
0.0078
-0.0160
0.0068
0.0531
Q3
Q4
2022 Q1
Q2
Q3
Q4
0.0358
-0.0950
-0.0490
0.1124
0.0944
-0.2569
-0.0023
-0.2220
0.0614
0.2629
0.1266
-0.1873
0.0216
0.0334
0.0159
0.0203
0.0187
0.0158
0.0276
0.0308
0.0163
0.0121
0.0168
0.0122
-0.2063
-0.2076
-0.0800
0.0000
-0.0282
0.0000
0.0096
0.0162
0.0307
0.0302
0.0017
0.0000
0.0120
0.0132
0.0209
0.0247
0.0184
0.0136
-0.0083
0.0145
0.0387
0.0394
0.0468
-0.0075
X8
X9
X10
X11
X12
X13
X14
X15
X16
X17
0.1195
-0.0201
-0.0751
-0.0292
0.0101
-0.0113
-0.0194
0.0160
0.0305
-0.0054
-0.0332
0.0198
0.0465
0.0035
-0.0519
-0.0112
0.0266
-0.0001
-0.0263
0.0062
0.0571
-0.0036
-0.0356
0.0567
0.0273
-0.0154
-0.0436
-0.0108
0.0282
-0.0199
-0.0534
-0.0009
0.0435
0.0150
-0.0334
0.0144
0.0492
-0.0040
-0.0248
0.0098
0.0227
-0.0117
-0.0073
-0.0048
0.0148
-0.0077
-0.0122
-0.0072
0.0181
0.0058
0.0013
0.0208
0.0431
0.2203
-0.0977
-0.7480
0.1215
0.2898
-0.0194
0.0181
0.0560
-0.0119
-0.0101
0.0963
0.1703
0.0472
-0.0271
-0.0921
0.1579
-0.0823
0.0826
-0.1410
0.1097
-0.0242
-0.0210
-0.0748
0.0732
0.0436
-0.0780
-0.2726
-0.0384
0.1234
-0.1637
-0.1427
-0.0535
0.1926
-0.0633
0.0111
0.0414
0.0078
0.1155
-0.0627
0.0453
0.1196
-0.0141
-0.1699
0.0580
0.0705
-0.0442
-0.0107
-0.1232
-0.0873
0.0536
-0.0090
0.2432
0.0822
0.0321
-0.0073
-0.0286
0.0237
0.0086
-0.0123
-0.0175
0.0075
-0.0025
0.0112
0.0025
0.0280
-0.0157
0.0049
0.0109
0.0178
0.0117
0.0253
0.0090
0.0419
0.0075
-0.0075
-0.0229
-0.0156
0.0056
0.0188
-0.0088
0.0197
-0.0022
-0.0109
0.0022
-0.0033
0.0303
-0.0107
0.0022
0.0223
-0.0021
-0.0021
0.0240
0.0153
0.0349
-0.0108
-0.0040
0.0069
-0.0230
0.0426
-0.0127
-0.0010
0.0489
0.2071
-0.1066
0.1134
0.2352
0.0122
0.0239
0.0057
0.0317
0.0025
0.0013
-0.0025
0.0042
0.0109
0.0095
0.0004
0.0008
0.0114
0.0000
-0.0012
0.0201
-0.0020
0.0052
0.0008
0.0212
-0.0031
0.0085
0.0000
0.0134
0.0129
-0.0008
0.0034
0.0160
0.0018
0.0125
0.0112
0.0200
0.0035
-0.0131
-0.0029
0.0344
0.0103
0.0048
-0.0007
0.0169
0.0083
0.0000
0.0017
0.0226
0.0126
-0.0010
0.0061
0.0316
0.0028
0.0018
0.0018
0.0284
0.0121
0.0006
0.0039
-0.0026
-0.0064
0.0000
0.0013
-0.0045
0.0000
-0.0013
0.0045
0.0000
-0.0026
0.0000
0.0000
0.0000
0.0000
-0.0006
0.0032
0.0000
0.0045
-0.0019
0.0006
0.0045
0.0038
0.0108
0.0169
0.0105
0.0018
0.0061
-0.0024
0.0031
0.0265
-0.0030
0.0053
0.0071
-0.0077
0.0053
0.0117
-0.0100
0.0261
-0.0052
0.0222
0.0034
0.0189
0.0049
0.0055
-0.0016
0.0141
0.0086
0.0106
0.0000
0.0240
0.0169
-0.0054
-0.0132
-0.0008
0.0078
-0.0156
0.0016
0.0039
-0.0047
0.0094
-0.0125
0.0008
0.0125
0.0552
-0.0015
0.0000
0.0029
0.0080
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0.0118
0.0514
0.0241
-0.0048
-0.0075
0.1038
-0.0660
-0.0679
0.0679
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0.0303
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0.0217
0.0094
-0.0201
0.0366
-0.0099
0.0395
0.0501
-0.0850
-0.0652
0.0236
0.0061
0.0000
-0.0014
0.0316
-0.0033
-0.0524
0.0357
-0.0020
0.0539
0.0481
0.0552
0.0140
0.0102
0.0087
0.0036
-0.0072
-0.0109
-0.0051
0.0000
-0.0059
-0.0030
0.0000
-0.0015
0.0022
0.0015
0.0030
0.0110
0.0007
0.0051
0.0087
0.0079
0.0106
0.0049
0.0035
0.0173
0.0109
0.0142
0.0087
0.0139
0.0078
0.0026
0.0058
0.0154
0.0082
0.0025
0.0044
0.0112
0.0117
0.0006
0.0043
0.0276
0.0024
0.0047
0.0000
0.0082
0.0219
0.0006
-0.0023
0.0181
0.0022
0.0034
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0.0183
0.0196
-0.0221
-0.0045
0.0027
-0.0063
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0.0129
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0.0386
0.0262
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0.0552
0.0200
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0.0649
0.0373
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0.0138
0.0246
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0.0100
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0.0081
0.0089
0.0158
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0.0053
0.0217
0.0145
-0.0231
0.0035
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0.0441
0.0091
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0.0043
0.0186
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0.0084
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-0.0026
0.0068
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0.0120
-0.0017
0.0267
-0.0128
-0.0090
-0.0278
0.0025
-0.0045
0.0092
0.0145
0.0180
0.0109
0.0116
0.0266
0.0079
0.0100
0.0054
0.0220
0.0115
-0.0017
0.0339
-0.0270
0.0095
0.0064
0.0080
0.0184
0.0169
0.0150
0.0137
0.0124
0.0091
0.0075
0.0057
0.0045
0.0052
0.0093
0.0101
0.0144
0.0113
0.0107
0.0132
0.0122
0.0112
0.0141
0.0127
0.0174
0.0087
0.0081
0.0100
0.0101
0.0732
-0.0227
-0.0112
0.1098
-0.0548
0.2204
-0.0889
-0.7666
0.1419
0.2876
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0.0205
0.0587
-0.0139
-0.0101
0.1003
0.1706
0.0327
-0.0184
-0.0976
0.1610
-0.0829
0.0837
-0.1454
0.1113
-0.0241
-0.0233
-0.0710
0.0716
0.0434
-0.0778
-0.2804
-0.0332
0.1250
-0.1586
-0.1383
-0.0346
0.1750
-0.0584
0.0166
0.0296
0.0094
0.1154
-0.0624
0.0434
0.0920
-0.0187
-0.1709
0.0543
0.0778
-0.0449
-0.0135
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-0.0707
0.0468
0.0044
0.2381
0.0856
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0.0190
0.0544
0.0979
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0.0342
0.0425
0.2342
0.1605
-0.2653
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0.2599
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0.0180
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0.0460
0.0133
0.0006
0.0434
0.0300
0.0559
0.0219
0.0459
0.0006
-0.0378
0.1205
0.0154
0.0841
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0.0609
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0.0149
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0.0422
0.0382
0.0218
0.0055
0.0111
0.0049
0.0242
0.0379
0.0046
0.0042
0.0074
0.0074
0.0121
0.0130
0.0141
0.0358
0.0401
0.2382
0.1521
-0.2764
-0.1383
X18
X19
X20
X21
X22
X23
X24
X25
X26
X27
0.1866
-0.1504
-0.4966
-0.1576
0.1897
0.0376
0.0443
0.0601
0.0113
-0.0007
0.0961
0.1858
0.0071
-0.0247
0.0062
0.0666
-0.0934
0.0917
-0.0394
0.0267
-0.0553
0.0287
-0.0201
0.0302
-0.0240
-0.0296
-0.1059
-0.1633
-0.0083
-0.1371
-0.0810
-0.1001
0.1478
-0.0120
0.0473
0.0174
-0.0170
0.1036
0.0436
0.0268
0.0850
0.0028
-0.0435
-0.0152
0.0042
-0.0239
0.0128
-0.1128
-0.1251
0.0025
0.0684
0.1983
0.0419
0.0976
-0.0574
-0.1774
-0.0503
0.1111
-0.0727
0.0196
-0.0296
-0.0620
-0.0822
0.1178
0.0000
-0.0747
-0.1175
-0.0151
0.0101
-0.0863
-0.0737
-0.0148
0.0636
0.2226
-0.0319
0.0364
-0.0180
-0.0609
0.0144
-0.0818
-0.0476
0.0857
-0.0406
0.0381
-0.0778
-0.0640
-0.0174
0.2336
-0.0426
-0.0649
-0.0130
0.0409
0.1069
0.0245
0.0367
-0.0367
-0.1139
-0.0848
-0.0244
0.0271
-0.0663
-0.1117
-0.0763
-0.0826
0.1717
-0.0485
0.0125
0.0029
-0.0251
-0.0093
-0.0010
0.0136
0.0066
0.0096
0.0105
0.0090
0.0125
0.0122
0.0108
0.0077
0.0050
0.0138
0.0042
0.0049
0.0096
0.0089
0.0022
0.0078
0.0122
0.0086
0.0142
0.0126
0.0100
0.0025
0.0116
0.0100
0.0040
0.0078
0.0113
0.0096
0.0096
0.0129
0.0065
0.0096
0.0172
0.0137
0.0126
0.009