[R] problem with nls....
akshay kulkarni
@k@h@y_e4 @end|ng |rom hotm@||@com
Thu Mar 21 16:55:55 CET 2019
dear Ivan,
I've not gone into residual analysis; but my observation is simple: I've checked the hist of both HF5 and HF6. There is not much difference. Also I've replaced all outliers.
HF1 ~ (m/HF5 )+ 1 is getting fitted properly, but not HF1 ~ (m/HF6) + 1.
The following are the actual values:
> HF1
Time Series:
Start = 1
End = 800
Frequency = 1
[1] 1.0319256 0.9842066 1.0098243 1.0446384 0.9177308 1.0060822 0.9609599 1.0374124 1.0139675 0.9973329 0.9559346 0.9848896
[13] 0.9749513 1.0511627 0.9789968 1.0964832 0.9879833 0.9549759 0.9787043 1.0203225 0.9947078 0.9813439 1.0138056 0.9670097
[25] 0.9711946 0.9873085 1.0858024 1.0394149 0.9766102 0.9689002 1.0097453 1.0235376 0.9873976 0.9705998 1.0356838 1.0165155
[37] 0.9855907 1.0757638 1.0072182 1.0280799 0.9281543 0.9587241 1.1086856 1.0446199 1.0158398 0.9529567 1.0610853 0.9976204
[49] 0.9575143 0.9803208 1.1238821 1.0118991 1.0112989 0.9415333 1.0424331 0.9912462 1.0106361 0.9802978 1.0108935 1.0159902
[61] 0.9892313 0.9438749 1.0118004 0.9953912 0.9175923 0.9479009 1.0235502 1.0060517 0.9890903 0.9885812 0.9900430 1.0350717
[73] 1.0108698 1.0468498 1.0656555 1.0436655 0.9908752 0.9751098 1.0163194 0.9851445 0.9710072 0.9885114 1.0109649 1.0490736
[85] 0.9795251 1.0108749 1.0029784 1.0149087 0.9965277 0.9893746 0.9917926 1.0115123 1.0472170 1.0437206 1.0139089 1.0372349
[97] 1.0038352 0.9586151 1.0085806 1.0119048 1.0118624 0.9896469 1.0272961 1.0172400 1.0134005 0.9757968 0.9717420 1.0269058
[109] 1.0114416 0.9512890 1.0181753 1.0565599 1.0376291 0.9865798 1.0212159 1.0701965 1.0324734 0.9899814 0.9973403 1.0172419
[121] 1.0020050 0.9889063 1.0129236 1.0277797 0.9826509 0.9922282 1.0988522 1.0275115 1.0183555 0.9774303 1.0172997 1.0150803
[133] 0.9685015 0.9924186 0.9937192 1.0072210 0.9673327 1.0473338 1.0562761 0.9707440 0.9771936 0.9883559 1.0208805 0.9894798
[145] 1.0694593 0.9754638 1.0383527 1.0013232 0.9863309 0.8778824 1.0157532 1.0438316 1.0000022 0.9740199 1.0305441 1.0275372
[157] 0.9723386 0.9954525 1.0046082 0.9531964 0.9768512 0.9899314 1.0496263 1.0546074 0.9616430 1.0210772 0.9901334 1.0689765
[169] 1.0154938 0.8765444 0.9919604 1.0082690 0.9860675 0.9823378 0.9897682 1.0363582 0.9805102 0.9723787 1.0741545 1.0290322
[181] 0.9760903 0.9850951 1.0500385 0.9774908 0.9861186 0.9898369 0.9941887 1.0097938 1.0187774 1.0591694 1.0270933 1.0466363
[193] 1.0000043 0.9815685 1.0238718 0.9740055 0.9717232 1.0251001 0.9946316 1.0075567 0.9751129 0.9871612 1.0643235 1.0075491
[205] 0.9888058 0.9396797 1.0068366 0.9962325 1.0455487 1.0442334 1.0103938 1.0236919 0.9852552 0.9767037 1.0063593 1.0518584
[217] 0.9705860 0.9718808 1.0178662 1.0414515 0.9883699 0.9860597 1.0394941 1.0103630 0.9082023 0.9889798 0.9646139 1.0052705
[229] 0.9688456 1.0559528 1.0401153 0.9785603 1.0169463 0.9929363 0.9812825 0.9302532 1.0272447 1.0644704 1.0201468 1.0248872
[241] 0.9587034 0.9884793 1.0065787 1.0568458 1.0167972 0.9702934 1.0233577 1.0052691 0.9690838 0.9900543 1.0171212 1.0093782
[253] 0.9518359 0.8953816 1.1180924 1.0126421 0.9847542 0.9731075 0.9906067 1.0191311 0.9757062 0.9819144 1.0392988 1.0358210
[265] 0.9842700 1.0057314 1.0206313 1.0088607 0.9779384 0.9860996 0.9894232 1.0180867 1.0060215 0.9419578 1.0604701 1.0186874
[277] 0.9824626 0.9303484 1.0491317 1.0204767 0.9892820 0.9971268 1.0322837 1.0435960 1.0123649 0.9791956 0.9880841 1.0203823
[289] 0.9696436 0.9769832 1.0704628 1.0230000 0.9665417 0.8624573 1.0152342 1.0538081 0.9885551 0.9605257 1.0196322 1.0135050
[301] 1.0420189 0.9875982 1.0228686 1.0224319 0.9778704 0.9912653 1.0116106 1.0226598 0.9387455 0.9717815 1.0122788 0.9889690
[313] 1.0232488 1.0276606 1.0173681 1.0159885 0.9877074 0.9838069 1.0374707 1.0152624 0.9789677 0.9612178 1.0192874 1.0644549
[325] 0.9715407 0.9787567 0.9925342 0.9790322 0.9777879 0.9680505 1.0224064 1.0348370 0.9875051 0.9457753 0.9914921 0.9591109
[337] 0.9629202 0.9995519 1.0136481 1.0221348 1.0148608 0.9912785 1.0439862 1.0330749 0.9762325 0.9983923 0.9348918 1.0227065
[349] 0.9794121 0.9733227 1.0082373 1.0421889 0.9767361 0.9726911 1.0100370 0.9921361 0.9861159 0.9749961 1.0594331 1.0806732
[361] 1.0276992 1.0329190 1.0686383 1.0466639 0.9740776 0.9672371 1.0128714 0.9934691 0.9582222 0.9332858 1.0029784 1.0250300
[373] 1.0059249 0.9999445 1.0082015 1.0252359 0.9760324 0.9493543 0.9996351 1.0116540 0.9675301 0.9470141 1.0127507 1.0112527
[385] 0.9766712 0.9703953 1.0592567 1.0360448 0.9790881 0.9680051 0.9711350 1.0049626 0.9738689 0.9819661 1.0835125 0.9765333
[397] 0.9138484 1.0220322 1.0465788 1.0065803 1.0273082 0.9838126 1.0151329 1.0146824 0.9452442 0.9489901 0.9921946 1.0101152
[409] 0.9730738 0.9354592 0.9542558 0.9681532 0.9792620 1.0352246 1.0426173 1.0180344 0.9576323 0.9533448 0.9846387 1.0261479
[421] 0.9453757 0.9455791 1.0691109 1.0084141 0.9844405 0.9537970 1.0118840 1.0094733 1.1493009 0.9922558 0.9941628 1.0290179
[433] 1.0020050 0.9971342 1.0436267 1.0726863 1.0925811 1.1072580 1.0390200 1.0376942 1.0302470 0.9838505 1.0420336 0.9793092
[445] 0.9850191 1.0196805 1.0065491 1.0158645 1.0117730 0.9406381 1.0097070 0.9870108 0.9818856 1.0040046 0.9712323 0.9951345
[457] 1.0199816 1.0551752 1.0112867 1.0763534 1.0253155 1.0029784 1.0251464 1.0814414 0.9987183 0.9771628 0.9726044 1.0482059
[469] 1.0020050 0.8931139 1.0367775 1.0260033 0.9728766 1.0225689 0.9908196 1.0068729 0.9912127 0.9931128 1.0158280 1.0433496
[481] 1.0203120 1.0085496 0.9812741 1.0615742 1.0119223 0.9849236 0.9992032 0.9879929 0.9000571 0.9891419 1.0345521 1.0381184
[493] 0.9886766 0.9574869 1.0149106 1.0294410 0.9882982 1.0244778 0.9812230 1.0082813 0.9664091 1.0283733 1.0124268 0.9992115
[505] 0.9872004 0.9884649 1.0386713 0.9763343 0.9597727 0.9567414 1.0086152 1.0165768 0.9848861 0.9620526 1.0123326 1.0447678
[517] 0.9934084 0.9669690 1.0360421 0.9829837 0.9761610 0.9708850 1.0014170 1.0195497 0.9806560 0.9757284 1.0251931 1.0116233
[529] 0.9868054 0.9756085 1.0303624 1.0077517 1.0505017 0.9414114 1.0124536 1.0131595 0.9638660 0.9887363 1.0132553 1.0052792
[541] 0.9820370 0.9460134 1.0125483 1.0426700 0.9818528 0.9762532 0.9582658 0.9814603 0.9618717 0.9615659 0.9496436 0.9877108
[553] 0.9999971 1.0284677 1.0106125 1.0031898 0.9793703 0.9486161 1.0226473 1.0236002 0.9538295 0.9689285 1.0313897 1.0212912
[565] 0.9505638 0.9921170 1.0130086 1.0419494 1.0000323 0.9607922 1.0211809 1.0424671 0.9795343 0.9497697 1.0231071 1.0142700
[577] 0.9765539 0.9492815 1.0267628 1.0135138 0.9885966 0.9529603 1.0264062 1.0249176 0.9872525 0.9849608 0.9986306 1.0437033
[589] 1.0041780 0.9931204 1.0329029 0.9939742 0.9459785 0.9629758 0.9456565 0.9836949 0.9754926 0.9976241 1.0232742 1.0050830
[601] 0.9481952 0.9854969 1.0352188 1.0337062 0.9892019 0.9554122 1.0189333 0.9793607 0.9899167 0.9503345 1.0117583 1.0371750
[613] 1.0070349 0.9804208 1.0500940 1.0107281 1.0698735 0.9881469 1.0565684 1.0179031 0.9856278 1.0314952 1.0720689 1.0011222
[625] 0.9743944 1.0034468 0.9824861 1.0192735 0.9991494 0.9842630 1.0060971 1.0294506 0.9695057 0.9725408 1.0227924 1.0088150
[637] 0.9765886 0.9889828 1.0108903 1.0068109 0.9905286 0.9517037 1.0527706 1.0257783 0.9932039 1.0121870 1.0506565 0.9816386
[649] 0.9843450 0.9552800 1.0124886 1.0332463 1.0021401 0.9885442 1.0136001 1.0381933 0.9594773 1.0679251 0.9653448 0.9997715
[661] 0.9890589 0.9658054 1.0079124 1.1292276 0.9873225 0.9730770 1.0699042 1.0174021 1.0041981 1.0232245 1.0389181 0.9720513
[673] 0.8686271 0.9915428 0.9606290 1.0482094 0.9898013 0.9510998 0.9602020 0.9976802 1.1427011 0.9917742 0.9770992 0.8638270
[685] 0.9991782 1.0455336 1.1043633 1.0489159 1.0029784 0.9906192 1.0307161 1.0182152 0.9677313 1.0090984 0.9851279 0.9596324
[697] 0.9743092 0.9748568 1.0206321 1.0517142 0.9876535 0.9732838 1.0656093 1.0603864 0.9980164 0.9795437 0.9746766 0.9784871
[709] 0.9746066 1.0484975 1.0228157 1.0165735 0.9785301 1.0322862 1.0303562 1.0203352 0.9606113 1.0674109 1.0051598 1.0095761
[721] 1.0138837 0.9862772 1.0173451 0.9879873 0.9761662 0.9828150 0.9839169 0.9887962 0.9474475 0.9786754 1.0405266 1.0246702
[733] 0.9764242 0.9782060 1.0004626 1.0653315 1.1480925 0.9567859 1.0410088 1.0246378 1.0025964 0.9894414 1.0146759 1.0449204
[745] 0.9917509 0.9706269 1.0199806 1.0044524 0.9942750 1.0145927 0.9917488 1.0314604 0.9495737 1.0005564 0.9972033 0.9849848
[757] 0.9741118 0.9693319 1.0061280 0.9892915 0.9944768 1.0101943 1.0545997 1.0044063 1.0020050 1.0127975 1.0164313 1.0285558
[769] 1.0043574 0.9854983 1.0122655 1.0123857 0.9879603 0.9734764 0.9995228 1.0315182 0.9564373 1.0543879 1.0099970 0.9987432
[781] 0.9580883 0.9724853 1.0167722 1.0102822 0.9629902 0.9908875 0.9838395 0.9733901 1.0207349 0.9848377 1.0633785 1.0312998
[793] 1.0316422 1.0335433 0.9890110 1.0334082 0.9915590 0.9909167 1.0208474 0.9899497
> HF6
Time Series:
Start = 1
End = 800
Frequency = 1
[1] 9.703261e-02 -3.302060e-01 5.100922e+00 1.932550e+00 -1.386912e-01 1.482268e-02 -1.137384e+00 3.732522e-01 2.506729e-01
[10] -2.919045e-01 -6.675508e-02 -1.267444e+00 -4.271286e-01 1.539651e-01 -1.424168e-01 2.632788e-01 -6.013491e-02 -5.743224e-02
[19] -1.955379e-01 7.423308e-01 -3.041726e-03 -2.667225e-02 2.409421e-01 -4.339732e-02 -2.372542e-01 -2.194143e-01 2.712374e-01
[28] 1.764577e+00 -1.583502e-01 -1.558412e-01 4.859185e+00 6.595212e-02 -6.227563e-02 -3.663468e-02 9.338089e-01 1.165410e+00
[37] -3.776054e-02 1.015936e+01 4.269841e+00 8.659153e-01 -1.045996e+00 -8.061952e-01 2.627137e-01 1.023131e-01 2.757644e-01
[46] -6.199723e-02 1.466399e-01 -3.353696e-01 -2.881873e-01 -1.560865e-01 2.946743e-01 1.825263e-01 6.075510e-01 -7.659018e-02
[55] 9.332004e-02 -7.924914e-01 -2.995696e+00 -2.625424e-01 6.959834e+00 2.882190e-01 -5.555718e-02 -3.191530e+00 -2.894247e+00
[64] -7.495410e-01 -5.698178e-01 -2.920025e-01 7.262345e-02 6.955618e-01 -7.509777e-01 -3.111461e-02 -1.757717e+00 9.583333e-02
[73] 2.022944e-01 1.481875e-01 3.709509e-01 3.297667e+00 -1.679928e-02 -6.633111e-01 3.081464e-01 -1.522342e-01 -2.697393e-01
[82] -2.474069e-01 1.267182e+00 2.990766e-01 -1.483910e-01 1.851073e-02 -3.320246e+00 5.365467e-01 3.685251e-02 -5.869044e-02
[91] -5.304953e-01 8.510204e-02 -1.943394e+00 6.796528e-01 8.707915e+00 5.339946e-01 3.334323e-01 -5.567989e-01 1.741750e-01
[100] 3.974109e-01 -1.180250e-01 -3.248193e-01 2.839601e-01 8.396776e-01 1.587400e+00 -1.052848e-01 -5.427561e-02 1.308345e+00
[109] -4.321102e+00 -2.114642e+00 2.545551e-01 2.608206e-01 2.468002e-01 -3.503397e-01 8.657229e-02 4.993098e-01 2.432785e+00
[118] -1.896142e-02 -2.014234e+00 2.029458e+00 6.079714e+00 -2.764164e-01 2.669853e-01 3.423891e+00 -5.324067e-01 -1.615363e-02
[127] 2.728479e+00 2.063365e+00 3.873700e-01 -9.717373e-01 2.802471e-01 3.221953e+00 -1.380415e+00 -2.251014e-01 -9.367013e-01
[136] 1.453974e-01 -9.212878e-01 6.660146e-01 2.698844e-01 -2.378487e-01 -1.841615e-01 -7.505472e-01 2.545551e-01 -1.904946e-02
[145] 2.825536e-01 -1.849939e-01 3.591260e-01 3.743418e-01 -2.778478e+00 -1.329060e+00 3.160122e-01 4.643313e-01 5.750524e-05
[154] -6.072878e-01 2.644429e-01 1.874244e+00 -2.695451e-01 -9.715273e-03 3.494761e-01 -9.281908e-02 -1.818026e-01 -3.065760e+00
[163] 1.745485e-01 4.058502e-01 -7.937648e-02 4.082885e-01 -5.328007e-02 5.173842e-01 3.014029e-01 -1.332769e+00 -1.525841e+00
[172] 1.278083e+00 -2.592115e+00 -5.447981e-02 -5.511966e-02 1.499697e-01 -7.537936e-01 -6.736513e-01 2.502264e-01 1.421474e+00
[181] -1.908278e-01 -2.629398e+00 3.030101e-01 -5.162059e-01 -2.154668e-01 1.774540e-03 -8.088480e-01 5.501430e-01 5.268684e-02
[190] 2.180616e-01 5.120812e-01 2.823400e-01 1.174173e-04 -3.871419e-02 3.158028e+00 -1.044852e+00 -2.686278e-01 7.454716e-01
[199] 7.658868e+00 1.125989e+00 -1.923856e-01 -2.441550e+00 5.024290e-01 2.290590e+00 -5.988608e-02 -7.947542e-01 4.383090e-01
[208] -6.176262e-03 2.480572e-01 6.266179e-01 3.552698e+00 7.503722e-01 -2.675535e-02 -5.389840e-01 8.622592e-01 1.991035e-01
[217] -2.189162e-01 -1.161234e+00 6.972145e-01 2.780796e-01 -6.312992e-02 -2.608414e+00 2.618422e+00 5.462640e+00 -1.142624e+00
[226] -8.490826e-01 -1.288512e-01 4.011994e-02 -2.048321e-01 3.272460e+00 6.866489e-01 -5.466328e-02 3.070392e-01 -9.886495e-01
[235] -1.569525e+00 -1.306696e-01 3.623149e+00 1.978161e-01 2.545551e-01 2.002372e+00 -5.400229e-01 -1.656640e-02 1.206290e-01
[244] 2.054049e-01 3.155210e-01 -1.744452e-01 2.545551e-01 7.412855e-01 -1.234508e-01 -1.718832e-02 7.214410e-01 6.076084e-01
[253] -1.024878e+01 -1.287062e+00 3.080408e+00 5.876054e-01 -2.777261e-01 -1.009898e+00 -5.856174e-01 6.067372e-02 -8.840570e-02
[262] -3.594392e-01 1.813739e+00 1.405564e-01 -3.372484e-02 8.371325e-01 3.424895e-01 1.493120e+00 -1.433819e+00 -4.222862e-01
[271] -6.719543e-02 3.063784e+00 1.282949e-01 -1.294272e-01 3.830982e-01 2.144883e+00 -8.491788e-02 -2.231544e+00 3.286810e-01
[280] 7.426660e-01 -6.825884e-02 -3.435546e-02 1.707858e+00 2.714363e-01 2.583534e-01 -1.856543e-01 -2.983154e-02 1.084806e+00
[289] -2.070454e+00 -1.513304e-01 2.514891e-01 1.531216e+00 -1.656472e+00 -1.337082e+00 3.243848e-01 1.715378e-01 -7.437379e-02
[298] -6.363805e-01 8.216420e-01 2.398677e+00 2.481079e-01 -1.493501e+00 1.788803e+00 4.053156e-01 -1.932145e-01 -1.698920e-01
[307] 3.829476e+00 1.608798e+00 -1.129716e-01 -1.141733e+00 1.621158e+00 -3.343241e-02 4.700237e+00 2.001713e+00 4.618576e+00
[316] 2.501457e+00 -7.836369e-02 -1.908722e-01 1.028320e+01 5.647405e-02 -1.710083e-01 -1.065351e+00 4.019061e-01 2.086564e-01
[325] -3.025440e-01 -9.047322e-02 -6.460067e-01 -6.844164e-01 -1.881830e-01 -8.318599e-02 3.826786e+00 9.766119e-01 -7.635718e-02
[334] -2.220902e-01 -3.856785e+00 -1.094635e+00 -7.540428e-02 3.058904e-02 9.137646e-01 3.775832e+00 2.989209e-01 -1.054544e-01
[343] 1.553016e-01 2.089815e+00 -1.232086e+00 -6.334727e-03 -7.148192e-01 1.619745e+00 -1.637780e-01 -2.134504e-01 1.515387e-01
[352] 2.434295e-01 -1.831071e-01 -9.457498e-01 2.459490e+00 -4.414135e-02 -8.114919e-02 -4.016494e-01 3.734457e-01 4.896307e-01
[361] 4.049245e+00 2.017318e+00 2.488363e-01 2.780003e-01 -1.550511e+00 -3.131615e+00 3.587101e+00 -8.323622e-02 -9.310946e-01
[370] -1.594693e-01 -6.449885e+00 8.850238e-01 2.298414e-01 2.548747e-02 3.259190e-01 3.200593e+00 -4.624236e-02 -3.353935e+00
[379] -9.192395e-03 1.659781e+00 -3.100714e-01 -2.432555e+00 2.493722e+00 6.676577e+00 -1.780416e-01 -8.183622e-01 2.873045e-01
[388] 1.873401e+00 -3.159656e-01 -1.063461e+00 -2.275333e-01 2.545551e-01 -1.147574e-01 -2.423924e-01 5.087483e-01 -4.946087e+00
[397] -1.404096e+00 5.942892e-01 1.850712e-01 2.305337e+00 1.519311e+00 -1.659701e-01 1.099995e+00 8.581784e-01 -1.180922e+00
[406] -1.422570e-01 -1.017652e-01 6.907890e-01 -2.043544e-01 -1.268577e-01 -7.520662e-01 -3.144183e-01 -3.326276e-01 2.571825e+00
[415] 2.758053e-01 5.519530e-01 -4.779812e+00 -8.598340e-01 -2.733269e-01 1.746146e+00 -1.152102e-01 -1.696746e-01 8.731155e+00
[424] 4.202525e-01 -8.863015e-02 -1.811685e+00 1.030848e+00 6.446866e+00 4.923567e+00 -2.394358e-02 -1.384412e-01 1.970634e-01
[433] 5.853398e+00 -5.313277e-01 2.451911e-01 5.068814e-01 1.001283e+01 2.545551e-01 2.991683e-01 2.978852e-01 1.920352e+00
[442] -6.436663e-01 2.865144e-01 -2.985307e+00 -7.993755e-02 6.913159e+00 1.263291e-01 4.946523e-01 2.384704e-01 -2.053579e-01
[451] 1.041425e+00 -3.840293e-02 -2.728177e-01 1.088364e-01 -2.959904e+00 -3.448277e-01 5.773138e-01 8.970300e-01 4.063197e-01
[460] 5.289729e-01 9.353198e-02 -5.891475e+00 2.352159e-01 1.773673e+00 -3.609789e-02 -5.292783e-02 -3.005821e+00 5.409213e-01
[469] 5.832009e+00 -1.372102e+00 3.681388e-01 2.022951e-01 -1.088937e+00 1.301919e+00 -1.351298e-01 1.666197e+00 -4.925816e-01
[478] -2.756112e-01 4.107335e-01 2.707616e-01 2.778384e-01 2.869210e-01 -2.518847e+00 2.731433e-01 3.057766e-01 -6.508426e-02
[487] -6.508053e-02 -5.386767e-02 -1.319746e+00 -5.511262e-01 2.439812e-01 3.581400e-01 -1.816593e-02 -2.177485e+00 1.568457e+00
[496] 2.416807e+00 -6.700124e-01 1.588973e-01 -8.862605e-02 2.121985e-01 -1.143138e+00 1.076068e+00 3.220819e-01 -6.488642e-02
[505] -9.119583e-02 -1.900989e-01 3.154147e-01 -5.464995e-01 -2.187182e-01 -2.180317e+00 2.234639e-01 2.134121e+00 -9.894065e-01
[514] -6.472309e-01 3.239172e-01 2.761212e-01 -1.826730e-01 -1.782663e-01 3.954665e-01 -1.855077e+00 -2.951616e-01 -1.235170e-01
[523] 2.251821e-01 5.553531e-01 -2.023192e-01 -9.014496e-01 6.563737e-01 4.016597e-01 -9.749756e-02 -6.402956e-02 2.750496e-01
[532] 2.754876e-01 3.293551e-01 -5.005642e+00 3.231129e-01 2.545811e-01 -1.022154e+00 -8.060808e-01 3.521192e-01 2.119989e-01
[541] -2.381150e-01 -3.288550e+00 1.421280e+00 2.847853e-01 -2.001002e-01 -1.646902e-01 -1.850079e-01 -7.654026e-02 -1.188583e-01
[550] -1.742599e-01 -1.984759e+00 -8.682619e-02 2.071753e-02 1.087379e+00 2.844600e-01 7.515339e-01 -2.224236e-01 -3.075256e+00
[559] 8.950929e-02 2.394501e+00 -2.165059e+00 -1.233829e-01 2.701741e+00 2.282062e+00 -1.924431e+00 -2.082254e-01 3.412529e-01
[568] 2.607147e-01 1.124918e-03 -1.203852e-01 2.657898e+00 1.957524e-01 -2.931182e-01 -1.971033e+00 1.807135e+00 8.706652e-01
[577] -2.326451e-01 -8.473731e-01 6.189609e-01 5.287915e-01 -7.740822e-01 -1.821481e+00 1.237988e-01 2.233247e+00 -3.362100e-01
[586] -2.170038e-01 -2.635905e-02 2.472973e-01 3.868325e-02 -1.159021e-01 2.500380e-01 -6.085198e-01 -1.899817e-01 -1.431927e-01
[595] -3.052454e+00 -3.469223e-01 -2.444967e-01 1.652156e-02 2.119758e-01 4.240047e-01 -1.911114e+00 -9.038186e-02 2.528617e-01
[604] 2.756286e+00 -3.906295e-01 -1.484883e-01 6.719161e-01 -3.866083e-01 -6.435435e-02 -1.902576e+00 5.826201e-01 2.644784e-01
[613] 9.538629e-02 -2.011244e-01 2.984296e-01 2.771165e+00 8.282686e+00 -1.932610e+00 4.163817e-01 1.595534e-01 -1.118635e+00
[622] 2.470832e-01 5.270764e-01 3.958194e-01 -6.165985e-02 5.335154e-01 -3.571421e-01 2.505762e+00 -2.753137e-02 -5.469856e-01
[631] 9.252352e-01 6.461865e-01 -4.461937e-01 -7.364934e-01 2.285105e+00 7.138954e-01 -2.720298e-01 -8.693912e-01 2.993691e+00
[640] 8.028559e-01 -6.743009e-02 -5.307888e-01 3.119620e-01 3.434619e+00 -1.452196e+00 1.684125e+00 3.311307e-01 -5.669708e-01
[649] -3.553324e-01 -1.896185e+00 3.446842e+00 7.830310e-01 -1.711669e+00 -1.277983e+00 4.621170e-01 2.421051e-01 -1.701033e-01
[658] 8.163954e-01 -7.261633e-01 -1.299687e-02 -8.016282e-02 -1.140658e-01 1.323860e+00 2.545551e-01 -2.675428e-01 -8.433672e-01
[667] 5.228999e-01 1.632592e-01 -2.957998e-01 -5.553013e-01 3.011379e-01 -6.305225e-01 -8.612630e+00 -3.065235e-01 -8.305565e-01
[676] 3.059103e-01 -7.797204e-02 -1.786650e+00 -1.488405e-01 -5.183906e-02 5.218233e+00 1.728557e-01 -4.481405e-01 -5.693220e+00
[685] 2.999499e-01 3.040171e-01 7.464381e+00 6.972166e+00 -8.403415e+00 -6.402848e-02 6.964933e-01 4.432842e-01 -1.786165e-01
[694] 5.528044e-01 -3.616451e-01 -1.591170e-01 -5.733156e-01 -3.732071e-01 1.612954e+00 4.521562e-01 -2.379350e-01 -7.817489e-01
[703] 5.615589e-01 7.984968e+00 -1.419967e-03 -3.413697e-01 -5.719286e-01 -8.776290e-02 -3.640012e-01 3.454289e-01 1.116740e-01
[712] 1.435803e-01 -2.474860e-01 1.093524e+00 2.347177e-01 1.730654e-01 -1.228630e-01 5.803183e-01 1.384456e+00 5.756865e-01
[721] 4.993324e-01 -3.569028e-01 1.399057e+00 -1.404911e+00 -2.982227e-01 -1.440777e-01 -3.008329e-01 -1.480333e-01 -2.034551e-01
[730] -6.386024e-02 5.534418e+00 1.260242e+00 -8.166069e-01 -2.222623e-01 7.545084e-02 5.541968e-01 5.556761e+00 -8.453119e-01
[739] 3.526444e-01 2.922084e+00 2.172985e-01 -1.469902e+00 1.632111e-01 3.493874e-01 -1.966893e-01 -2.924236e-01 1.102409e-01
[748] 6.462530e-02 -1.704171e-02 4.125223e-01 -2.080039e-01 2.607025e-01 -2.169992e-01 8.481024e-02 1.636632e-01 -5.962679e-01
[757] -3.093319e-01 -1.073459e-01 1.363464e+00 -1.401023e+00 -2.107503e-02 5.597599e-01 5.385795e-01 1.863389e+00 6.397418e+00
[766] 1.861240e+00 1.194237e+00 2.997435e-01 1.611484e-01 -5.484613e-01 1.189842e+00 3.837644e+00 -2.338096e-01 -5.737762e-01
[775] 2.413753e-03 3.455508e+00 -6.577547e-01 3.693522e-01 1.219843e-01 -2.947803e-02 -2.569075e-01 -1.664628e-01 2.123460e+00
[784] 4.798212e+00 -1.675385e-01 -7.847523e-02 -3.216411e-01 -2.386470e-01 2.017492e+00 -2.721515e-01 2.467115e+00 5.415200e-01
[793] 1.157133e+00 4.056428e-01 -2.823108e-01 4.366070e-01 -9.937483e-01 -6.383019e-02 2.599436e-01 -2.154435e-01
> HF5
Time Series:
Start = 1
End = 800
Frequency = 1
[1] -0.053649858 0.473045129 -1.855791134 -0.218807875 0.014571536 0.159596481 0.081564240 0.155658287 -0.106533556
[10] 1.349296039 0.043722595 1.184981768 2.936701948 -0.020890782 0.287209659 -0.343506862 0.182125744 0.321655319
[19] 0.152265596 -0.130765767 0.301479728 0.237639510 -0.113640154 0.116768441 0.245115225 2.653399743 -0.014934997
[28] -0.376484031 0.098036596 0.078589972 -10.566796506 -0.033271764 0.007003626 0.336061740 -0.290931130 -1.003161849
[37] 2.126410832 -0.339519118 -1.984023750 -0.188090224 8.562631062 1.515090731 -0.089723677 -0.035854499 -0.156259607
[46] 0.087586561 -0.099550560 -0.386082232 1.231825926 0.665419202 -0.018845938 -0.273064427 -0.441205599 0.058367119
[55] -0.035881404 0.231425905 -1.731548372 0.511813720 -2.652292762 -0.163362295 0.112082704 2.127449901 -1.984516819
[64] -1.681618131 -0.291551146 1.301356201 -0.231139629 -1.761747111 2.198414002 0.031431206 4.817803230 -0.053835827
[73] -0.241400896 -0.132737682 -0.494221853 -3.427015165 0.158200929 6.618433733 -0.255699644 0.399170676 0.469394277
[82] 1.403215236 -0.539113590 -0.074840353 0.315268293 0.017757466 -0.069162940 -0.591611166 0.952482170 0.040122193
[91] -0.224477562 -0.035925567 -0.213900914 -2.517367299 -6.371690768 -0.379127361 1.742901426 0.115588677 -0.070774432
[100] -0.042019349 -0.203094162 6.187633937 -0.030255588 -14.135776862 -0.292919023 0.210526422 0.015809975 -0.191603291
[109] -0.028013930 1.196397848 -3.136609657 -0.016623343 -0.047866621 0.235623521 -0.033250628 -0.029950585 -0.152733306
[118] 0.283585876 0.725438532 -5.321553815 -0.262818166 0.333358093 -0.127887678 -0.825616353 0.729752381 0.161256587
[127] -0.127870499 -3.504392573 -0.056818942 1.051455503 -0.610581967 -1.772628876 7.763088022 6.377255877 0.982331777
[136] -0.049720167 1.668057546 -0.081526679 -0.016646304 0.027828635 0.021019397 0.638606658 -2.639610493 0.252214128
[145] -0.021177179 0.309961739 -0.159709264 -0.791889902 0.221659320 0.071520603 -0.191792830 -0.095849781 0.147118019
[154] 0.423879172 -0.015966532 -0.814997357 0.182181232 0.740886403 -0.425878632 0.063399111 0.084086002 6.242629054
[163] -0.166059640 -0.164944798 0.047540050 0.077867048 0.210206725 -0.059959501 -0.134972375 0.724032252 1.208053371
[172] -1.450416248 0.767002941 0.567248602 0.203201419 -0.017947959 0.723492119 2.315582396 -0.003250712 -0.214061467
[181] 0.140103172 1.485875229 -0.063942314 0.504794752 1.203681332 2.916254637 -0.599141209 -0.504639390 -0.035917702
[190] -0.066508032 -0.774334925 -0.044962400 0.539379226 0.035552430 -0.852486162 0.582649427 0.511438446 -0.054846737
[199] -1.363899566 -0.925264908 0.378290631 8.418752812 -0.329694296 -0.646217899 0.014012816 0.229314359 -0.822570550
[208] 0.035566960 -0.048042626 -0.230902834 -0.983361624 -0.524604472 0.142112334 3.178630141 -0.679181149 -0.021673949
[217] 0.455549743 2.884246546 0.995534936 -0.074915836 0.294327209 8.707540120 -0.891039780 -5.116943345 1.807300268
[226] 4.653522444 0.176254186 0.096643906 0.097676112 -0.442654494 -0.176779103 0.047338893 -0.206053506 24.897248697
[235] -0.558294814 0.015836695 -0.754272940 -0.071928292 -4.065491270 -1.044690836 0.376283222 0.588343352 -0.355257156
[244] -0.083364082 -0.007105364 0.529359954 -8.021221450 -0.546179595 0.646916952 0.178089665 -0.051864657 0.253082405
[253] 20.713299311 0.759143878 -0.539982015 -0.368425364 3.538669564 0.567510757 0.191253562 -0.053957999 0.047407002
[262] 1.072823567 -2.268748418 -0.033168432 0.252976417 4.010509758 -0.085581899 -1.500184616 2.623411867 0.129878721
[271] 0.196248634 -0.481771250 -0.056828978 0.031878859 -0.144508992 -1.702092094 0.450120295 2.201565243 -0.208548110
[280] -0.607892432 0.210270224 -0.053396495 -1.098250818 -0.497645770 -0.019981605 0.026436961 0.269281987 -0.203943129
[289] 5.803557957 0.898143581 -0.016638145 -2.870511105 12.535882950 0.089523798 -0.071056442 -0.083304296 0.371506360
[298] 2.549915204 -1.388314210 -5.815539352 -0.210410307 -0.046665442 -1.398770615 -0.420604388 0.007011299 7.295412551
[307] -3.567433713 -2.259342153 0.111306625 9.424201044 -0.099990007 0.058851186 -0.319394368 -1.188994369 -13.473532466
[316] -4.123907909 0.007008249 0.026816923 -11.866142680 -0.017989270 0.277994379 3.218420951 -0.312668928 -0.149944044
[325] 0.056081944 0.507135605 0.016331503 1.002122867 0.715103715 0.127326780 -5.870328468 -0.530081308 0.336482105
[334] 0.162019469 0.136228079 0.109176188 0.265903072 1.954660692 -1.262932946 0.190943304 -0.114749082 3.999535346
[343] -0.022649183 -2.320142948 4.864378799 0.107269719 -0.147020500 -0.880102075 0.896221148 0.383806031 -0.014315332
[352] -0.064334680 0.126186237 1.836083215 -1.195093675 0.247399700 0.210305271 1.205910512 -0.128797914 -0.015077554
[361] -0.076260331 -1.984423551 -0.050001641 -0.060265425 2.076702500 -1.560055417 -13.194087713 -0.433552321 0.259611369
[370] 0.015964183 0.105154985 -0.359399469 0.056095783 0.468687701 0.237191558 -0.180564873 0.071450142 1.633298516
[379] 0.098140453 -0.865187577 0.126199486 3.933684419 -2.439808356 -5.299750403 0.659122872 5.485314982 -0.060356968
[388] -0.273469732 0.881925411 1.401311316 0.357596451 0.190943304 0.225427150 1.918599734 -0.135809594 -1.539832826
[397] 1.422332786 -0.216520004 -0.116653447 -0.945873057 -1.076258982 0.530886207 -14.858856834 -10.332358918 3.337007186
[406] 0.029548722 -0.177707477 -0.465327158 0.126175184 0.079632842 1.568379101 0.039669024 3.115629690 -0.035586517
[415] -0.195985895 -0.577867640 -0.677797610 1.094892700 -0.376687825 -4.102964091 0.143566503 0.088692628 -1.453786558
[424] -0.299393058 1.107887381 0.674420993 -2.646522732 -1.389318035 -0.211813487 0.390659815 -0.355424658 -0.228305953
[433] -0.390932354 0.797608035 -0.400864878 -0.664606830 -2.128206234 -1.332743740 -0.048330806 -0.302019469 -1.364677631
[442] 0.850007608 -0.498655463 -1.120737861 0.044377074 -4.067918353 -0.177685144 -0.238197352 -0.099527123 0.063876860
[451] -0.109607175 0.286745627 3.228227858 1.155269654 -1.714722099 2.044204651 -0.376951275 -0.256646314 -0.462593438
[460] -0.150378251 -0.036127900 -0.168221859 -0.250161833 -0.132990944 -0.092393191 0.017930849 -0.821142000 -0.045328381
[469] -0.156346755 0.251034593 -0.015115175 -0.049923585 9.808254454 -10.923406279 0.218855389 -3.481913209 2.269242277
[478] 1.618053635 -0.568450760 -0.100185900 -0.218372487 -0.533170368 -3.035492341 -0.018080448 -0.270147632 0.064100947
[487] -1.656390523 0.044406230 0.403815427 4.463785965 -0.242225219 -0.060562600 0.111633931 1.952214234 -1.702724573
[496] -2.321447242 7.091924992 -0.100624956 0.014795836 -0.127924982 2.603975673 -0.238145700 -0.206169571 -0.280573145
[505] 0.133267731 1.334596328 -0.080741903 1.136959798 0.103590046 0.382617191 -0.120816198 -10.255711630 4.959744726
[514] 0.203784749 -0.241718413 -0.418653153 7.263519760 0.175385478 -0.121027999 -0.921554800 0.014025795 0.812840365
[523] -0.033736823 -0.881201126 0.014024605 1.413383175 -0.084845152 -1.501412214 0.014026681 0.351134701 -0.105825219
[532] -0.190871159 -0.016198856 1.582199545 -0.355298930 -0.119154942 1.119952829 15.442702714 -0.526105476 0.254349129
[541] 0.182400471 0.290090107 -0.544720386 -0.704947881 0.182413507 0.415254298 0.478675043 0.337429554 0.015951895
[550] 0.579123775 0.276916517 0.336730820 0.166459998 -0.165019677 -0.170639297 -2.156172309 0.007015360 0.679413452
[559] -0.180776170 -0.412514852 1.919485711 0.564221261 -1.814078186 -0.523469370 0.850946856 0.654857991 -0.433715765
[568] -0.064963825 0.315600383 0.208368575 -1.362624306 -0.036163560 1.522171004 0.501262098 -2.957851936 0.041325375
[577] 0.792613097 0.461937482 -0.549182039 -0.201497868 0.559521219 2.330550367 -0.072344287 -0.696108042 0.255478720
[586] 1.414073413 -0.568775940 -0.324689599 0.489813834 -0.149345898 -0.083926323 12.669192340 0.395227403 0.575646109
[595] 0.969961408 0.139445941 0.028068230 0.961621369 -0.747248768 -1.600810860 1.075547238 0.420965386 -0.113631655
[604] -0.903460198 0.524895605 0.044527148 -0.461720956 -0.547639601 0.084186467 1.174865283 -1.097194604 -0.032498414
[613] 2.392118505 0.986643396 -0.162424173 -3.164451200 -0.769422900 -0.184600192 -0.197917436 -0.352329082 1.290558257
[622] -0.184791050 -0.076097183 -1.798061452 0.080099125 2.062484105 -0.348501142 -2.106705631 0.007017747 2.305538391
[631] -0.915838960 -0.220861746 0.077200047 0.610466280 -0.688401758 -0.207153770 0.049139553 22.362186197 -5.441551857
[640] -1.708605711 0.926299855 0.207035751 -0.106446657 -2.675294607 -0.404511023 -0.788943233 -0.048807464 -0.227614326
[649] -0.085333035 0.977385829 -16.826537503 -0.200423157 -0.051340705 6.499090143 -0.304213082 -0.065082852 0.048070630
[658] 0.666539778 -0.064016381 -0.109602571 0.533325153 0.528565621 -0.248317213 -3.473373955 1.272400022 1.711836935
[667] -0.228344960 -0.252753461 -0.488373752 -0.401594723 -0.030427542 -0.455079097 3.252051577 0.960391227 -0.256075733
[676] -0.136915862 0.098237444 1.674612416 0.044609980 -0.248469202 -0.298662830 1.173803660 -0.208363252 1.850645023
[685] 1.036270876 -0.152137097 -0.048105658 -1.277109207 0.059431246 0.064698690 -0.246801765 -0.196775000 0.533961473
[694] 0.220699810 -0.312873635 0.014867680 -0.241851486 0.032156787 -1.816522484 -0.167733410 4.158794025 2.099466739
[703] -0.030488507 0.112566051 0.075675048 0.302820106 -0.469476310 0.210115120 0.056139143 -0.030484607 -0.072570524
[712] -0.033886465 0.091219120 -0.248023454 -0.081455556 -0.203068185 0.054095543 -0.015255905 -3.701371648 -0.623879061
[721] 0.853410776 6.103753013 -1.341198580 1.247921308 0.751060465 0.781642884 0.379135477 1.145320110 0.313305428
[730] 0.112618403 -1.412256823 -0.103142715 -0.007113346 0.659901598 -2.519498558 -0.365995410 -0.184937991 0.897416670
[739] -0.518805259 -3.353209940 1.867572217 9.205127781 -0.187969046 -0.778383177 -0.042669664 0.806807477 -0.090799820
[748] -0.021826161 0.448223805 -0.164371146 -0.618774302 -0.244839681 0.194235170 1.570125546 1.754972837 0.500679719
[757] 0.870366653 0.433784961 -1.002863246 2.101960944 0.697030522 7.950881827 -0.061270167 -2.371332122 -0.142291873
[766] -1.729969712 -1.941166110 -0.245036824 -0.106730528 5.057757700 -1.038846526 -0.858866602 3.386084663 1.395573786
[775] -0.291650577 -2.212035645 0.856991031 -1.532383568 -0.185747818 -0.711396025 1.062315644 0.241829929 -1.838103065
[784] -12.577074634 1.735801542 0.484405184 0.013854970 0.416285923 -1.975226723 0.938110382 -0.647308291 -0.706063547
[793] -0.082810695 -0.054601369 -0.014973073 0.127614348 18.906618087 0.502810107 -0.152371107 -0.036187828
very many thanks for your time and effort....
Yours sincerely,
AKSHAY M KULKARNI
________________________________
From: Ivan Krylov <krylov.r00t using gmail.com>
Sent: Thursday, March 21, 2019 9:06 PM
To: r-help using r-project.org
Cc: akshay kulkarni
Subject: Re: [R] problem with nls....
One of the assumptions made by least squares method is that the
residuals are independent and normally distributed with same parameters
(or, in case of weighted regression, the standard deviation of the
residual is known for every point). If this is the case, the parameters
that minimize the sum of squared residuals are the maximum likelihood
estimation of the true parameter values.
The problem is, your data doesn't seem to adhere well to your formula.
Have you tried plotting your HF1 - ((m/HF6) + 1) against HF6 (i.e. the
residuals themselves)? With large residual values (outliers?), the loss
function (i.e. sum of squared residuals) is disturbed and doesn't
reflect the values you would expect to get otherwise. Try computing
sum((HF1 - ((m/HF6) + 1))^2) for different values of m and see if
changing m makes any difference.
Try looking up "robust regression" (e.g. minimize sum of absolute
residuals instead of squared residuals; a unique solution is not
guaranteed, but it's be less disturbed by outliers).
--
Best regards,
Ivan
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