I have two variables which show a typical quantile relation
I would like to fit quantile regression models based on both logarithm and
polynomial of second order functions within quantreg.
Any help appreciated...
Cheers
Duccio
Herewith the values:
------
var1 var2
0.96429 0.00138
1 0.02316
1.03145 0.09323
1.24088 0.77128
1.39869 0.86732
1.33728 0.63674
1.48299 0.96194
0.76 0.00001
0.77019 0.00003
0.96 0.00028
0.93491 0.00057
0.82432 0.00171
0.73077 0.00275
0.74648 0.00313
0.9697 0.00361
0.79245 0.00439
0.92994 0.00586
0.82143 0.00858
0.7377 0.00862
0.80795 0.01053
0.87075 0.01407
0.82993 0.01936
0.84507 0.01968
0.85185 0.03322
1.05063 0.03341
0.90123 0.03621
0.99415 0.0386
0.85714 0.03873
0.76259 0.04932
0.75188 0.05513
1.13122 0.06014
0.85333 0.06636
0.90411 0.0732
1.29778 0.07327
0.84211 0.08094
1.06024 0.08509
0.92208 0.08662
0.84354 0.09211
0.9359 0.09642
1.06286 0.10479
0.93333 0.10786
0.75 0.11703
0.79699 0.1214
0.88591 0.12347
0.80851 0.12404
0.80952 0.12424
0.83824 0.13017
0.95385 0.14673
1.02013 0.1513
0.8 0.1555
1.06667 0.15733
0.88732 0.16003
0.96154 0.18156
1.02247 0.18261
1.09877 0.18561
1.16564 0.18985
1.13333 0.19068
1.18239 0.20152
1.15663 0.21013
1.02941 0.22034
1.32381 0.22261
1.09459 0.23226
1.0068 0.23951
1.03614 0.26169
0.97222 0.26258
0.93878 0.28128
1.0137 0.28627
1.46087 0.28714
1.14451 0.28726
0.92913 0.28782
1.07595 0.30899
0.9635 0.34355
1.1677 0.36839
0.94595 0.38738
1.14118 0.39093
1.15429 0.40374
1.1625 0.41852
1.08235 0.42404
1.12941 0.43112
1.08176 0.44307
1.325 0.45221
1.38308 0.47239
1.0073 0.47427
1.17105 0.47728
1.13907 0.48632
1.34328 0.49487
1.20988 0.50787
1.36364 0.52367
1.21795 0.53399
1.23864 0.55555
1.23288 0.55839
1.28261 0.56652
1.35789 0.56932
1.22807 0.57798
1.2053 0.57992
1.18667 0.58031
1.1223 0.58048
1.10938 0.58197
1.29697 0.58868
1.22093 0.61025
1.21481 0.63087
1.58095 0.63506
1.34884 0.65639
1.2381 0.70642
1.51724 0.71612
1.34161 0.75399
1.45263 0.76035
1.28834 0.78978
1.53927 0.80492
1.35065 0.80679
1.38182 0.83345
1.3743 0.87256
1.6051 0.87435
1.3865 0.90878
1.44 0.94695
1.46405 0.95543
1.52941 0.96108
1.49686 0.98102
0.97436 0.00053
0.94972 0.03044
1.0838 0.04558
0.78322 0.04753
1.08791 0.06048
1.06832 0.06949
1.15294 0.13114
1.10067 0.18832
1.14124 0.23016
1.28814 0.25488
1.25316 0.25809
1.13333 0.26702
1.13772 0.41137
1.12346 0.43028
1.15385 0.47513
1.18621 0.48385
1.25301 0.52187
1.10959 0.56926
1.17391 0.57653
1.4 0.63667
1.22368 0.72883
1.41714 0.76351
1.33333 0.86687
1.33758 0.89052
1.45238 0.92793
1.39744 0.94344
1.48101 0.9775
0.7947 0.00049
0.94118 0.00078
0.90683 0.01507
0.78621 0.03443
1.05952 0.09995
0.92157 0.10748
0.98065 0.11945
1.05 0.15
1.09091 0.19752
0.86614 0.22126
1.21839 0.27116
1 0.28663
1.0375 0.31568
1.09554 0.362
1.09489 0.48028
1.22876 0.6107
1.27027 0.82497
1.47674 0.88388
1.36486 0.91599
1.5 0.9485
1.46429 0.96476
0.98429 0.00017
0.96 0.00132
1.1016 0.00164
1.03488 0.00259
1.13131 0.00676
1.12222 0.00857
1.17778 0.01879
0.84848 0.02734
1.04494 0.03203
0.99459 0.0334
1.06077 0.04496
0.99363 0.04525
0.9759 0.04738
0.84416 0.05265
1 0.06271
1.16384 0.06624
1.19255 0.10814
1.07865 0.11254
1.14839 0.11579
1.06587 0.11741
0.98795 0.15986
1.02564 0.16745
1.18232 0.24054
1.06475 0.26294
1.2028 0.33415
1.05263 0.33649
0.96203 0.35101
1.41899 0.36591
1.29032 0.38599
1.30337 0.39697
1.22581 0.40419
1.32231 0.41405
1.14286 0.41882
1.3121 0.48076
1.27684 0.49725
1.15152 0.50391
1.24103 0.52758
1.28485 0.53712
1.24706 0.55238
1.16312 0.589
1.24832 0.59592
1.19424 0.59958
1.23077 0.60055
1.15385 0.60596
1.17722 0.6227
1.32164 0.65736
1.28814 0.67897
1.35912 0.68161
1.21622 0.68561
1.2 0.69235
1.29323 0.69752
1.24242 0.72117
1.58779 0.7424
1.35938 0.75283
1.3038 0.76964
1.26389 0.78097
1.26619 0.78649
1.28467 0.78969
1.46821 0.81551
1.29496 0.82751
1.32886 0.82946
1.38346 0.86327
1.39623 0.88525
1.36585 0.89968
1.36986 0.91253
1.41844 0.92278
1.47297 0.92683
1.5894 0.93875
1.45205 0.95307
1.44 0.96991
1.51634 0.97627
1.11475 0.01352
0.95238 0.07429
0.94937 0.15717
1.32673 0.19765
1.1049 0.3566
1.14286 0.35769
1.175 0.38035
1.33981 0.38826
1.21101 0.39268
1.23871 0.41222
1.39623 0.43026
1.06542 0.45457
1.23636 0.46048
1.11538 0.50053
1.18121 0.50146
1.28205 0.5199
1.59116 0.53439
1.20721 0.53861
1.2125 0.56278
1.14286 0.57051
1.34545 0.57396
1.14286 0.57667
1.49254 0.59495
1.33945 0.61477
1.33913 0.63193
1.22835 0.64445
1.35593 0.64847
1.31579 0.65096
1.25373 0.65702
1.3007 0.65852
1.31579 0.6619
1.18797 0.66314
1.21212 0.67297
1.2381 0.67353
1.33333 0.67844
1.24691 0.67946
1.32174 0.69228
1.44715 0.70199
1.24138 0.70263
1.56075 0.70508
1.23741 0.70942
1.248 0.71058
1.41935 0.71489
1.45902 0.71796
1.3985 0.72005
1.35385 0.72072
1.18421 0.72409
1.23438 0.72432
1.45665 0.72434
1.31783 0.73215
1.48031 0.74742
1.37008 0.74794
1.45455 0.75231
1.57073 0.75479
1.32331 0.75782
1.34921 0.76381
1.37008 0.7654
1.27168 0.76891
1.39706 0.77234
1.33333 0.77396
1.46457 0.77448
1.26718 0.77722
1.30882 0.78328
1.44361 0.78838
1.33333 0.7899
1.39063 0.79478
1.31852 0.79676
1.62694 0.79723
1.27941 0.80713
1.29851 0.81276
1.43704 0.81624
1.32515 0.82265
1.30137 0.82293
1.62011 0.83007
1.41732 0.83096
1.46667 0.83266
1.41538 0.83821
1.33333 0.84023
1.33333 0.84138
1.41085 0.84395
1.41732 0.84445
1.40127 0.84476
1.41791 0.84816
1.3985 0.84903
1.59551 0.85226
1.42424 0.85227
1.47619 0.8553
1.46939 0.86723
1.37589 0.86943
1.51079 0.87004
1.51825 0.87195
1.3758 0.87532
1.36913 0.8759
1.39568 0.87671
1.38776 0.87762
1.47368 0.88003
1.36111 0.88012
1.43662 0.88274
1.41606 0.88282
1.5 0.88734
1.5 0.88944
1.40741 0.8911
1.5 0.89238
1.51773 0.89271
1.47518 0.89277
1.49275 0.89488
1.42029 0.90218
1.44681 0.9023
1.45324 0.90373
1.45695 0.90437
1.51479 0.90611
1.59777 0.90895
1.41429 0.91266
1.42197 0.91565
1.44286 0.91605
1.56906 0.91874
1.50968 0.91907
1.44828 0.92108
1.49189 0.92167
1.54717 0.92231
1.59524 0.92253
1.51678 0.92641
1.50355 0.92798
1.62195 0.92894
1.37037 0.93033
1.51389 0.93076
1.58889 0.93507
1.44681 0.93509
1.50685 0.93605
1.4375 0.93608
1.44056 0.93636
1.46309 0.93643
1.57895 0.93696
1.50588 0.93725
1.46479 0.93747
1.55556 0.93822
1.49275 0.93851
1.50838 0.93898
1.56213 0.93947
1.38562 0.93955
1.4965 0.93963
1.50336 0.94236
1.46405 0.9468
1.57576 0.94736
1.57055 0.94871
1.55705 0.94964
1.54054 0.94986
1.48966 0.95037
1.55422 0.95161
1.59006 0.95194
1.43243 0.952
1.47945 0.95236
1.57955 0.95298
1.46575 0.95502
1.44 0.95676
1.39869 0.95872
1.49686 0.95992
1.48299 0.96033
1.53247 0.96048
1.52 0.96081
1.45946 0.96093
1.50898 0.96104
1.62051 0.9615
1.44156 0.96264
1.48299 0.96337
1.5625 0.96343
1.52055 0.96494
1.55422 0.96533
1.46309 0.967
1.52 0.96777
1.50633 0.96783
1.50993 0.97162
1.50327 0.97442
1.51807 0.97464
1.43421 0.97542
1.47651 0.97671
1.52564 0.97791
1.52564 0.97873
1.5375 0.97932
1.50318 0.97948
1.51948 0.98
1.45223 0.98083
1.47561 0.98142
1.51634 0.98211
1.49701 0.98272
1.53293 0.9829
1.55556 0.98419
1.5375 0.98659
1.52632 0.98665
1.54545 0.98746
1.50968 0.98887
0.80292 0.02733
0.78788 0.05026
1.08387 0.25727
1.11236 0.28788
1.2093 0.32447
1.17333 0.35333
1.26486 0.35837
0.97297 0.36174
1.16763 0.37241
1.08609 0.4186
1.07285 0.50362
1.21333 0.51644
1.21379 0.62384
1.26241 0.62537
1.31818 0.65624
1.27007 0.71185
1.34161 0.71431
1.24286 0.71809
1.32308 0.73904
1.40157 0.76371
1.32919 0.7808
1.44118 0.78128
1.375 0.78208
1.40909 0.7947
1.29496 0.80487
1.38931 0.81096
1.42222 0.81254
1.29078 0.81377
1.31387 0.84942
1.3875 0.86737
1.40426 0.8828
1.49315 0.8853
1.36691 0.89381
1.41606 0.90245
1.48252 0.90975
1.58659 0.91133
1.5102 0.91485
1.48936 0.91897
1.41429 0.91995
1.3625 0.92154
1.56725 0.94172
1.51648 0.95473
1.42667 0.96679
1.46835 0.97723
1.54878 0.97943
1.4717 0.98295
1.02222 0.02021
1.41429 0.8753
0.76056 0.00006
0.79268 0.00057
0.78313 0.002
0.62626 0.00225
0.8 0.01268
0.89189 0.01448
0.88485 0.02624
1.00565 0.03471
1.0559 0.04432
0.83784 0.09914
1.04762 0.10191
0.73043 0.12486
1.23699 0.25224
1.39785 0.3089
1.025 0.31879
1.0719 0.33571
1.21212 0.38035
1.42105 0.40306
1.13158 0.41637
1.07692 0.51066
1.2716 0.52443
1.28302 0.55195
1.232 0.57827
1.16418 0.60219
1.30973 0.60664
1.22727 0.65079
1.43307 0.65682
1.38122 0.71209
1.40113 0.77652
1.48201 0.79789
1.44262 0.81144
1.35211 0.82607
1.36842 0.83288
1.30935 0.8429
1.35172 0.86687
1.55844 0.87823
1.64198 0.90079
1.35172 0.90976
1.59538 0.91276
1.44286 0.92195
1.3908 0.92303
1.57692 0.93374
1.57396 0.93416
1.47143 0.93515
1.43046 0.96609
1.46309 0.9666
1.47879 0.9669
1.52941 0.97006
1.55689 0.9797
1.53659 0.98209
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