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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 15 Dec 2016 10:25:00 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/15/t148179393754t63uzwq3dsj8c.htm/, Retrieved Fri, 03 May 2024 04:35:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299786, Retrieved Fri, 03 May 2024 04:35:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsN1910
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural time s...] [2016-12-15 09:25:00] [9a9519454d094169f95f881e5b6f16f7] [Current]
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Dataseries X:
4738.4
4687.2
5930.8
5532
5429.8
6107.4
5960.8
5541.8
5362.2
5237
4827
4781.6
4983.2
4718.4
5523.8
5286.6
5389
5810.4
5057.4
5604.4
5285
5215.2
4625.4
4270.4
4685.4
4233.8
5278.4
4978.8
5333.4
5451
5224
5790.2
5079.4
4705.8
4139.6
3720.8
4594
4638.8
4969.4
4764.4
5010.8
5267.8
5312.2
5723.2
4579.6
5015.2
4282.4
3834.2
4523.4
3884.2
3897.8
4845.6
4929
4955.4
5198.4
5122.2
4643.2
4789.8
3950.8
3824.4
4511.8
4262.4
4616.6
5139.6
4972.8
5222
5242
4979.8
4691.8
4821.6
4123.6
4027.4
4365.2
4333.6
4930
5053
5031.4
5342
5191.4
4852.2
4675.6
4689.2
3809.4
4054.2
4409.6
4210.2
4566.4
4907
5021.8
5215.2
4933.6
5197.8
4734.6
4681.8
4172
4037.8
4462.6
4282.6
4962.4
4969.2
5214.6
5416.8
4764.2
5326.2
4545.4
4797.2
4259
4117
4469.2
4203.2
5033.8
4883
5361.6
5044.6
5005.6
5382
4565.4
4825
4290.2
3933.6
4177.6
3949.4
4492.6
4894.2
5224.4
5071




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time6 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299786&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]6 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299786&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299786&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
14738.44738.4000
24687.24704.36626253737-1.35462027317347-17.1662625373724-0.152846715091656
35930.85394.9511910778838.3625087395422535.8488089221193.25444449068044
455325562.6519404979343.6674492048863-30.65194049792580.745234972808467
55429.85520.5406178378741.5631695862377-90.7406178378691-0.519468623948054
66107.45799.1169934466245.6170508348033308.2830065533781.44153958180748
75960.85931.3383290980946.980416702292829.46167090190720.525873185220653
85541.85752.2602799920843.2052221151294-210.460279992077-1.36986481045076
95362.25506.005447259937.993449961799-143.805447259902-1.75110335110083
1052375306.9064756395733.4753541089968-69.9064756395675-1.43252700543184
1148275010.6607661964126.9318836365597-183.660766196408-1.99026906444695
124781.64821.0682685362622.4948552365503-39.46826853626-1.30585628771611
134983.24956.8092974750220.992374082985126.39070252498020.730034810237602
144718.45075.7610254867921.9668880977148-357.361025486790.598352239594107
155523.85088.7094581636521.6945892409041435.090541836348-0.0502965647410848
165286.65223.3889187574925.62049657718463.21108124251240.64212250879276
1753895461.1189849120632.2379042686047-72.11898491205611.25058755584069
185810.45558.58816033333.9700815149737251.8118396669990.39016490819968
195057.45275.9779109968426.4224332048454-218.577910996844-1.89781667811523
205604.45421.7350689125629.1793915618612182.6649310874360.714923013341423
2152855383.1709006159827.5961012439462-98.1709006159809-0.405440125485163
225215.25242.4273458261923.6353645393944-27.2273458261877-1.00627104712254
234625.44966.3399409249716.8997635365825-340.939940924974-1.78838096596002
244270.44631.2291252078110.0058179112201-360.829125207808-2.10189591320853
254685.44608.975952767559.4736530252884676.4240472324482-0.1947910996188
264233.84607.476076549329.24305119489814-373.67607654932-0.0654459278148968
275278.44774.4320108466913.6546288700395503.9679891533090.91298614261321
284978.84933.3820157641418.2775661038645.41798423585790.837291351654352
295333.45194.1161025820826.0536172461336139.2838974179221.41755998490638
3054515189.5564965159425.1186438220892261.44350348406-0.181110589932352
3152245351.358470934129.0704130187993-127.3584709341040.812085363783379
325790.25482.9168326145431.9250587120941307.283167385460.609103805071441
335079.45294.8958153696425.935767263285-215.495815369645-1.30581088288946
344705.84889.9804822692214.4713395268279-184.180482269217-2.55386842708654
354139.64530.992784697844.87192937879581-391.392784697837-2.21113064351412
363720.84241.69686929584-2.41616237857113-520.896869295836-1.74396761526375
3745944334.82461542502-0.0485616623813696259.1753845749840.567653852118041
384638.84733.8389503506910.5793891353758-95.0389503506912.3567226919729
394969.44731.0092199589610.1859363234403238.390780041044-0.0782442343359002
404764.44796.2960925625111.9129148326719-31.89609256251250.320115561027648
415010.84867.1976174119613.8011755709624143.6023825880370.344621487323491
425267.85001.0554285779717.6008452733588266.7445714220320.706616212227319
435312.25243.7751395835224.547245433492668.42486041647761.33016221238487
445723.25272.8567599549924.6835185200172450.3432400450140.0268046559183553
454579.64902.8137207872613.093331674005-323.213720787264-2.33053604676901
465015.24870.2073003297211.7794537371327144.992699670284-0.26942886593488
474282.44715.330083409057.07525628139459-432.930083409049-0.982149159968076
483834.24574.739800447352.94498931908573-740.539800447345-0.871207641035025
494523.44500.229892998850.7562052180056123.1701070011473-0.457228292666713
503884.24237.34331126656-6.93742664926446-353.143311266564-1.5511470235156
513897.83933.24184738928-15.9708886309757-35.4418473892757-1.73816991300464
524845.64374.15076473105-1.62746262404798471.4492352689492.66493017318115
5349294697.142621087728.71674066011125231.8573789122851.89797778717231
544955.44794.022803008311.5222510642621161.3771969917020.517742136290946
555198.44940.1682102211815.7563131357587258.2317897788250.792824706425364
565122.24734.067490717728.88870408059683388.132509282283-1.30702140406632
574643.24788.1612945036210.265700019028-144.9612945036220.266016364556069
584789.84673.663306488526.51819874714875116.136693511484-0.733366488320058
593950.84462.685314665750.0487888979837345-511.885314665751-1.27837525546704
603824.44427.15240545924-1.00695409025184-602.75240545924-0.209326992983624
614511.84369.64849342872-2.69540441780173142.151506571277-0.332466777583108
624262.44456.670963039910.0288965777384496-194.2709630399120.526973769916083
634616.64716.533523151618.07269039350041-99.93352315161291.5213554753741
645139.64831.196855957811.4260993654739308.4031440422020.623033303402969
654972.84839.3510385808111.3222614393466133.448961419192-0.0191458914937186
6652224966.9414453796415.0145457580837255.0585546203620.682108505902509
6752424945.8037247785713.8728291051149296.196275221432-0.212491116742947
684979.84768.316822599857.88333812257461211.483177400152-1.12499709843102
694691.84721.908471233316.20047123076457-30.10847123331-0.318899058694729
704821.64648.764524734453.76165216575398172.835475265552-0.465676545614557
714123.64619.960377130052.76600714270116-496.360377130047-0.191139134140688
724027.44622.354097182382.75463485083792-594.954097182377-0.00218657309246855
734365.24480.07770071959-1.6941122812728-114.877700719591-0.852023518477628
744333.64557.121528807470.740915818143092-223.5215288074670.462083392339793
7549304830.900496798439.266748407328999.09950320156811.59947136592481
7650534844.098446514869.39052118872415208.9015534851430.0230049083700503
775031.44895.2315911105210.7111228572088136.1684088894770.244406101913541
7853424971.4495602824912.7851072570926370.550439717510.384128631970271
795191.44895.291478548379.97672992748928296.108521451632-0.522173275006779
804852.24740.556419847764.80120339114908111.643580152239-0.967124432124407
814675.64677.192465691892.67114571558889-1.59246569188961-0.399989827935077
824689.24578.70098418314-0.474864692614053110.499015816862-0.593284957754655
833809.44419.95678554312-5.38222696192093-610.556785543124-0.928250013551122
844054.24483.33381743552-3.25111822355517-429.1338174355210.403472721491924
854409.64559.62578789286-0.780232270757159-150.0257878928550.466849740448686
864210.24580.9881198641-0.0894882200278048-370.7881198641040.129882761581531
874566.44535.45260177143-1.5142385035193130.9473982285696-0.266294628185389
8849074621.121881514821.2307580784843285.8781184851770.51052401490666
895021.84767.662833441725.81783687476476254.1371665582790.851133639925189
905215.24788.9457198456.30628732830498426.2542801550010.0906651877786565
914933.64668.102070042982.29577351628309265.497929957016-0.745969743316448
925197.84821.670824555537.0547627612471376.1291754444670.887560816045026
934734.64768.729611944935.17305599625613-34.1296119449346-0.351864727411332
944681.84633.970107235720.79597906597396747.829892764279-0.820367991125574
9541724710.794418886893.17020917112819-538.7944188868920.445742386265647
964037.84627.850717400440.481673647546877-590.050717400441-0.505044779463862
974462.64611.79959969632-0.0350991895124021-149.199599696322-0.0969790125341993
984282.64631.147927699050.572116270374423-348.547927699050.1136645878618
994962.44816.444024582526.37382825416631145.9559754174771.0825496618542
1004969.24818.297403484126.23153229253127150.902596515875-0.0264806292716709
1015214.64884.010715501248.10654171786793330.589284498760.34849096816938
1025416.84928.667025576289.25905249739913488.1329744237230.214250184054514
1034764.24758.536859979453.606275439063155.66314002054787-1.05202475537479
1045326.24799.003244156324.76618115774351527.1967558436810.216174452589425
1054545.44671.02968290290.596052433262709-125.629682902896-0.77826744835605
1064797.24699.823475482071.4806039093731897.37652451793120.165285221999513
10742594731.483290200462.42644325247283-472.4832902004570.176904509048457
10841174728.167340385942.24650012374553-611.167340385941-0.0336684246806234
1094469.24697.952191548381.22866818558604-228.752191548383-0.190352193174391
1104203.24670.972076526070.343164438691691-467.772076526066-0.165385717602216
1115033.84777.38346265343.67726230143421256.4165373466020.621639339161302
11248834787.244512593273.8718714572742495.75548740673420.0362323364450779
1135361.64899.998546307637.30106066354789461.6014536923720.638012280986564
1145044.64707.726657092421.01441861886515336.873342907584-1.16979449765285
1155005.64816.81933561634.41776418514073188.78066438370.633671100197643
11653824825.117211758394.53985860252477556.8827882416060.0227499513780853
1174565.44771.863108788522.72288508744905-206.463108788517-0.33879872989104
11848254748.899727650111.9159868241262976.1002723498935-0.150553091057924
1194290.24748.392922153031.83991694803112-458.192922153026-0.0142007367997582
1203933.64642.66235329103-1.53720314793252-709.062353291031-0.630597528921593
1214177.64515.10274505439-5.49483405445568-337.502745054385-0.738837184867047
1223949.44476.40187781144-6.53827036772314-527.001877811443-0.194661017388201
1234492.64360.06039216717-9.99107921775654132.539607832829-0.64354877766944
1244894.24563.5511125562-3.27383775566713330.6488874438031.25100020267097
1255224.44651.563362156-0.400351143921156572.8366378440030.534953444515454
12650714729.533547103892.06684947356095341.4664528961150.459350971848755

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 4738.4 & 4738.4 & 0 & 0 & 0 \tabularnewline
2 & 4687.2 & 4704.36626253737 & -1.35462027317347 & -17.1662625373724 & -0.152846715091656 \tabularnewline
3 & 5930.8 & 5394.95119107788 & 38.3625087395422 & 535.848808922119 & 3.25444449068044 \tabularnewline
4 & 5532 & 5562.65194049793 & 43.6674492048863 & -30.6519404979258 & 0.745234972808467 \tabularnewline
5 & 5429.8 & 5520.54061783787 & 41.5631695862377 & -90.7406178378691 & -0.519468623948054 \tabularnewline
6 & 6107.4 & 5799.11699344662 & 45.6170508348033 & 308.283006553378 & 1.44153958180748 \tabularnewline
7 & 5960.8 & 5931.33832909809 & 46.9804167022928 & 29.4616709019072 & 0.525873185220653 \tabularnewline
8 & 5541.8 & 5752.26027999208 & 43.2052221151294 & -210.460279992077 & -1.36986481045076 \tabularnewline
9 & 5362.2 & 5506.0054472599 & 37.993449961799 & -143.805447259902 & -1.75110335110083 \tabularnewline
10 & 5237 & 5306.90647563957 & 33.4753541089968 & -69.9064756395675 & -1.43252700543184 \tabularnewline
11 & 4827 & 5010.66076619641 & 26.9318836365597 & -183.660766196408 & -1.99026906444695 \tabularnewline
12 & 4781.6 & 4821.06826853626 & 22.4948552365503 & -39.46826853626 & -1.30585628771611 \tabularnewline
13 & 4983.2 & 4956.80929747502 & 20.9923740829851 & 26.3907025249802 & 0.730034810237602 \tabularnewline
14 & 4718.4 & 5075.76102548679 & 21.9668880977148 & -357.36102548679 & 0.598352239594107 \tabularnewline
15 & 5523.8 & 5088.70945816365 & 21.6945892409041 & 435.090541836348 & -0.0502965647410848 \tabularnewline
16 & 5286.6 & 5223.38891875749 & 25.620496577184 & 63.2110812425124 & 0.64212250879276 \tabularnewline
17 & 5389 & 5461.11898491206 & 32.2379042686047 & -72.1189849120561 & 1.25058755584069 \tabularnewline
18 & 5810.4 & 5558.588160333 & 33.9700815149737 & 251.811839666999 & 0.39016490819968 \tabularnewline
19 & 5057.4 & 5275.97791099684 & 26.4224332048454 & -218.577910996844 & -1.89781667811523 \tabularnewline
20 & 5604.4 & 5421.73506891256 & 29.1793915618612 & 182.664931087436 & 0.714923013341423 \tabularnewline
21 & 5285 & 5383.17090061598 & 27.5961012439462 & -98.1709006159809 & -0.405440125485163 \tabularnewline
22 & 5215.2 & 5242.42734582619 & 23.6353645393944 & -27.2273458261877 & -1.00627104712254 \tabularnewline
23 & 4625.4 & 4966.33994092497 & 16.8997635365825 & -340.939940924974 & -1.78838096596002 \tabularnewline
24 & 4270.4 & 4631.22912520781 & 10.0058179112201 & -360.829125207808 & -2.10189591320853 \tabularnewline
25 & 4685.4 & 4608.97595276755 & 9.47365302528846 & 76.4240472324482 & -0.1947910996188 \tabularnewline
26 & 4233.8 & 4607.47607654932 & 9.24305119489814 & -373.67607654932 & -0.0654459278148968 \tabularnewline
27 & 5278.4 & 4774.43201084669 & 13.6546288700395 & 503.967989153309 & 0.91298614261321 \tabularnewline
28 & 4978.8 & 4933.38201576414 & 18.27756610386 & 45.4179842358579 & 0.837291351654352 \tabularnewline
29 & 5333.4 & 5194.11610258208 & 26.0536172461336 & 139.283897417922 & 1.41755998490638 \tabularnewline
30 & 5451 & 5189.55649651594 & 25.1186438220892 & 261.44350348406 & -0.181110589932352 \tabularnewline
31 & 5224 & 5351.3584709341 & 29.0704130187993 & -127.358470934104 & 0.812085363783379 \tabularnewline
32 & 5790.2 & 5482.91683261454 & 31.9250587120941 & 307.28316738546 & 0.609103805071441 \tabularnewline
33 & 5079.4 & 5294.89581536964 & 25.935767263285 & -215.495815369645 & -1.30581088288946 \tabularnewline
34 & 4705.8 & 4889.98048226922 & 14.4713395268279 & -184.180482269217 & -2.55386842708654 \tabularnewline
35 & 4139.6 & 4530.99278469784 & 4.87192937879581 & -391.392784697837 & -2.21113064351412 \tabularnewline
36 & 3720.8 & 4241.69686929584 & -2.41616237857113 & -520.896869295836 & -1.74396761526375 \tabularnewline
37 & 4594 & 4334.82461542502 & -0.0485616623813696 & 259.175384574984 & 0.567653852118041 \tabularnewline
38 & 4638.8 & 4733.83895035069 & 10.5793891353758 & -95.038950350691 & 2.3567226919729 \tabularnewline
39 & 4969.4 & 4731.00921995896 & 10.1859363234403 & 238.390780041044 & -0.0782442343359002 \tabularnewline
40 & 4764.4 & 4796.29609256251 & 11.9129148326719 & -31.8960925625125 & 0.320115561027648 \tabularnewline
41 & 5010.8 & 4867.19761741196 & 13.8011755709624 & 143.602382588037 & 0.344621487323491 \tabularnewline
42 & 5267.8 & 5001.05542857797 & 17.6008452733588 & 266.744571422032 & 0.706616212227319 \tabularnewline
43 & 5312.2 & 5243.77513958352 & 24.5472454334926 & 68.4248604164776 & 1.33016221238487 \tabularnewline
44 & 5723.2 & 5272.85675995499 & 24.6835185200172 & 450.343240045014 & 0.0268046559183553 \tabularnewline
45 & 4579.6 & 4902.81372078726 & 13.093331674005 & -323.213720787264 & -2.33053604676901 \tabularnewline
46 & 5015.2 & 4870.20730032972 & 11.7794537371327 & 144.992699670284 & -0.26942886593488 \tabularnewline
47 & 4282.4 & 4715.33008340905 & 7.07525628139459 & -432.930083409049 & -0.982149159968076 \tabularnewline
48 & 3834.2 & 4574.73980044735 & 2.94498931908573 & -740.539800447345 & -0.871207641035025 \tabularnewline
49 & 4523.4 & 4500.22989299885 & 0.75620521800561 & 23.1701070011473 & -0.457228292666713 \tabularnewline
50 & 3884.2 & 4237.34331126656 & -6.93742664926446 & -353.143311266564 & -1.5511470235156 \tabularnewline
51 & 3897.8 & 3933.24184738928 & -15.9708886309757 & -35.4418473892757 & -1.73816991300464 \tabularnewline
52 & 4845.6 & 4374.15076473105 & -1.62746262404798 & 471.449235268949 & 2.66493017318115 \tabularnewline
53 & 4929 & 4697.14262108772 & 8.71674066011125 & 231.857378912285 & 1.89797778717231 \tabularnewline
54 & 4955.4 & 4794.0228030083 & 11.5222510642621 & 161.377196991702 & 0.517742136290946 \tabularnewline
55 & 5198.4 & 4940.16821022118 & 15.7563131357587 & 258.231789778825 & 0.792824706425364 \tabularnewline
56 & 5122.2 & 4734.06749071772 & 8.88870408059683 & 388.132509282283 & -1.30702140406632 \tabularnewline
57 & 4643.2 & 4788.16129450362 & 10.265700019028 & -144.961294503622 & 0.266016364556069 \tabularnewline
58 & 4789.8 & 4673.66330648852 & 6.51819874714875 & 116.136693511484 & -0.733366488320058 \tabularnewline
59 & 3950.8 & 4462.68531466575 & 0.0487888979837345 & -511.885314665751 & -1.27837525546704 \tabularnewline
60 & 3824.4 & 4427.15240545924 & -1.00695409025184 & -602.75240545924 & -0.209326992983624 \tabularnewline
61 & 4511.8 & 4369.64849342872 & -2.69540441780173 & 142.151506571277 & -0.332466777583108 \tabularnewline
62 & 4262.4 & 4456.67096303991 & 0.0288965777384496 & -194.270963039912 & 0.526973769916083 \tabularnewline
63 & 4616.6 & 4716.53352315161 & 8.07269039350041 & -99.9335231516129 & 1.5213554753741 \tabularnewline
64 & 5139.6 & 4831.1968559578 & 11.4260993654739 & 308.403144042202 & 0.623033303402969 \tabularnewline
65 & 4972.8 & 4839.35103858081 & 11.3222614393466 & 133.448961419192 & -0.0191458914937186 \tabularnewline
66 & 5222 & 4966.94144537964 & 15.0145457580837 & 255.058554620362 & 0.682108505902509 \tabularnewline
67 & 5242 & 4945.80372477857 & 13.8728291051149 & 296.196275221432 & -0.212491116742947 \tabularnewline
68 & 4979.8 & 4768.31682259985 & 7.88333812257461 & 211.483177400152 & -1.12499709843102 \tabularnewline
69 & 4691.8 & 4721.90847123331 & 6.20047123076457 & -30.10847123331 & -0.318899058694729 \tabularnewline
70 & 4821.6 & 4648.76452473445 & 3.76165216575398 & 172.835475265552 & -0.465676545614557 \tabularnewline
71 & 4123.6 & 4619.96037713005 & 2.76600714270116 & -496.360377130047 & -0.191139134140688 \tabularnewline
72 & 4027.4 & 4622.35409718238 & 2.75463485083792 & -594.954097182377 & -0.00218657309246855 \tabularnewline
73 & 4365.2 & 4480.07770071959 & -1.6941122812728 & -114.877700719591 & -0.852023518477628 \tabularnewline
74 & 4333.6 & 4557.12152880747 & 0.740915818143092 & -223.521528807467 & 0.462083392339793 \tabularnewline
75 & 4930 & 4830.90049679843 & 9.2667484073289 & 99.0995032015681 & 1.59947136592481 \tabularnewline
76 & 5053 & 4844.09844651486 & 9.39052118872415 & 208.901553485143 & 0.0230049083700503 \tabularnewline
77 & 5031.4 & 4895.23159111052 & 10.7111228572088 & 136.168408889477 & 0.244406101913541 \tabularnewline
78 & 5342 & 4971.44956028249 & 12.7851072570926 & 370.55043971751 & 0.384128631970271 \tabularnewline
79 & 5191.4 & 4895.29147854837 & 9.97672992748928 & 296.108521451632 & -0.522173275006779 \tabularnewline
80 & 4852.2 & 4740.55641984776 & 4.80120339114908 & 111.643580152239 & -0.967124432124407 \tabularnewline
81 & 4675.6 & 4677.19246569189 & 2.67114571558889 & -1.59246569188961 & -0.399989827935077 \tabularnewline
82 & 4689.2 & 4578.70098418314 & -0.474864692614053 & 110.499015816862 & -0.593284957754655 \tabularnewline
83 & 3809.4 & 4419.95678554312 & -5.38222696192093 & -610.556785543124 & -0.928250013551122 \tabularnewline
84 & 4054.2 & 4483.33381743552 & -3.25111822355517 & -429.133817435521 & 0.403472721491924 \tabularnewline
85 & 4409.6 & 4559.62578789286 & -0.780232270757159 & -150.025787892855 & 0.466849740448686 \tabularnewline
86 & 4210.2 & 4580.9881198641 & -0.0894882200278048 & -370.788119864104 & 0.129882761581531 \tabularnewline
87 & 4566.4 & 4535.45260177143 & -1.51423850351931 & 30.9473982285696 & -0.266294628185389 \tabularnewline
88 & 4907 & 4621.12188151482 & 1.2307580784843 & 285.878118485177 & 0.51052401490666 \tabularnewline
89 & 5021.8 & 4767.66283344172 & 5.81783687476476 & 254.137166558279 & 0.851133639925189 \tabularnewline
90 & 5215.2 & 4788.945719845 & 6.30628732830498 & 426.254280155001 & 0.0906651877786565 \tabularnewline
91 & 4933.6 & 4668.10207004298 & 2.29577351628309 & 265.497929957016 & -0.745969743316448 \tabularnewline
92 & 5197.8 & 4821.67082455553 & 7.0547627612471 & 376.129175444467 & 0.887560816045026 \tabularnewline
93 & 4734.6 & 4768.72961194493 & 5.17305599625613 & -34.1296119449346 & -0.351864727411332 \tabularnewline
94 & 4681.8 & 4633.97010723572 & 0.795979065973967 & 47.829892764279 & -0.820367991125574 \tabularnewline
95 & 4172 & 4710.79441888689 & 3.17020917112819 & -538.794418886892 & 0.445742386265647 \tabularnewline
96 & 4037.8 & 4627.85071740044 & 0.481673647546877 & -590.050717400441 & -0.505044779463862 \tabularnewline
97 & 4462.6 & 4611.79959969632 & -0.0350991895124021 & -149.199599696322 & -0.0969790125341993 \tabularnewline
98 & 4282.6 & 4631.14792769905 & 0.572116270374423 & -348.54792769905 & 0.1136645878618 \tabularnewline
99 & 4962.4 & 4816.44402458252 & 6.37382825416631 & 145.955975417477 & 1.0825496618542 \tabularnewline
100 & 4969.2 & 4818.29740348412 & 6.23153229253127 & 150.902596515875 & -0.0264806292716709 \tabularnewline
101 & 5214.6 & 4884.01071550124 & 8.10654171786793 & 330.58928449876 & 0.34849096816938 \tabularnewline
102 & 5416.8 & 4928.66702557628 & 9.25905249739913 & 488.132974423723 & 0.214250184054514 \tabularnewline
103 & 4764.2 & 4758.53685997945 & 3.60627543906315 & 5.66314002054787 & -1.05202475537479 \tabularnewline
104 & 5326.2 & 4799.00324415632 & 4.76618115774351 & 527.196755843681 & 0.216174452589425 \tabularnewline
105 & 4545.4 & 4671.0296829029 & 0.596052433262709 & -125.629682902896 & -0.77826744835605 \tabularnewline
106 & 4797.2 & 4699.82347548207 & 1.48060390937318 & 97.3765245179312 & 0.165285221999513 \tabularnewline
107 & 4259 & 4731.48329020046 & 2.42644325247283 & -472.483290200457 & 0.176904509048457 \tabularnewline
108 & 4117 & 4728.16734038594 & 2.24650012374553 & -611.167340385941 & -0.0336684246806234 \tabularnewline
109 & 4469.2 & 4697.95219154838 & 1.22866818558604 & -228.752191548383 & -0.190352193174391 \tabularnewline
110 & 4203.2 & 4670.97207652607 & 0.343164438691691 & -467.772076526066 & -0.165385717602216 \tabularnewline
111 & 5033.8 & 4777.3834626534 & 3.67726230143421 & 256.416537346602 & 0.621639339161302 \tabularnewline
112 & 4883 & 4787.24451259327 & 3.87187145727424 & 95.7554874067342 & 0.0362323364450779 \tabularnewline
113 & 5361.6 & 4899.99854630763 & 7.30106066354789 & 461.601453692372 & 0.638012280986564 \tabularnewline
114 & 5044.6 & 4707.72665709242 & 1.01441861886515 & 336.873342907584 & -1.16979449765285 \tabularnewline
115 & 5005.6 & 4816.8193356163 & 4.41776418514073 & 188.7806643837 & 0.633671100197643 \tabularnewline
116 & 5382 & 4825.11721175839 & 4.53985860252477 & 556.882788241606 & 0.0227499513780853 \tabularnewline
117 & 4565.4 & 4771.86310878852 & 2.72288508744905 & -206.463108788517 & -0.33879872989104 \tabularnewline
118 & 4825 & 4748.89972765011 & 1.91598682412629 & 76.1002723498935 & -0.150553091057924 \tabularnewline
119 & 4290.2 & 4748.39292215303 & 1.83991694803112 & -458.192922153026 & -0.0142007367997582 \tabularnewline
120 & 3933.6 & 4642.66235329103 & -1.53720314793252 & -709.062353291031 & -0.630597528921593 \tabularnewline
121 & 4177.6 & 4515.10274505439 & -5.49483405445568 & -337.502745054385 & -0.738837184867047 \tabularnewline
122 & 3949.4 & 4476.40187781144 & -6.53827036772314 & -527.001877811443 & -0.194661017388201 \tabularnewline
123 & 4492.6 & 4360.06039216717 & -9.99107921775654 & 132.539607832829 & -0.64354877766944 \tabularnewline
124 & 4894.2 & 4563.5511125562 & -3.27383775566713 & 330.648887443803 & 1.25100020267097 \tabularnewline
125 & 5224.4 & 4651.563362156 & -0.400351143921156 & 572.836637844003 & 0.534953444515454 \tabularnewline
126 & 5071 & 4729.53354710389 & 2.06684947356095 & 341.466452896115 & 0.459350971848755 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299786&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]4738.4[/C][C]4738.4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]4687.2[/C][C]4704.36626253737[/C][C]-1.35462027317347[/C][C]-17.1662625373724[/C][C]-0.152846715091656[/C][/ROW]
[ROW][C]3[/C][C]5930.8[/C][C]5394.95119107788[/C][C]38.3625087395422[/C][C]535.848808922119[/C][C]3.25444449068044[/C][/ROW]
[ROW][C]4[/C][C]5532[/C][C]5562.65194049793[/C][C]43.6674492048863[/C][C]-30.6519404979258[/C][C]0.745234972808467[/C][/ROW]
[ROW][C]5[/C][C]5429.8[/C][C]5520.54061783787[/C][C]41.5631695862377[/C][C]-90.7406178378691[/C][C]-0.519468623948054[/C][/ROW]
[ROW][C]6[/C][C]6107.4[/C][C]5799.11699344662[/C][C]45.6170508348033[/C][C]308.283006553378[/C][C]1.44153958180748[/C][/ROW]
[ROW][C]7[/C][C]5960.8[/C][C]5931.33832909809[/C][C]46.9804167022928[/C][C]29.4616709019072[/C][C]0.525873185220653[/C][/ROW]
[ROW][C]8[/C][C]5541.8[/C][C]5752.26027999208[/C][C]43.2052221151294[/C][C]-210.460279992077[/C][C]-1.36986481045076[/C][/ROW]
[ROW][C]9[/C][C]5362.2[/C][C]5506.0054472599[/C][C]37.993449961799[/C][C]-143.805447259902[/C][C]-1.75110335110083[/C][/ROW]
[ROW][C]10[/C][C]5237[/C][C]5306.90647563957[/C][C]33.4753541089968[/C][C]-69.9064756395675[/C][C]-1.43252700543184[/C][/ROW]
[ROW][C]11[/C][C]4827[/C][C]5010.66076619641[/C][C]26.9318836365597[/C][C]-183.660766196408[/C][C]-1.99026906444695[/C][/ROW]
[ROW][C]12[/C][C]4781.6[/C][C]4821.06826853626[/C][C]22.4948552365503[/C][C]-39.46826853626[/C][C]-1.30585628771611[/C][/ROW]
[ROW][C]13[/C][C]4983.2[/C][C]4956.80929747502[/C][C]20.9923740829851[/C][C]26.3907025249802[/C][C]0.730034810237602[/C][/ROW]
[ROW][C]14[/C][C]4718.4[/C][C]5075.76102548679[/C][C]21.9668880977148[/C][C]-357.36102548679[/C][C]0.598352239594107[/C][/ROW]
[ROW][C]15[/C][C]5523.8[/C][C]5088.70945816365[/C][C]21.6945892409041[/C][C]435.090541836348[/C][C]-0.0502965647410848[/C][/ROW]
[ROW][C]16[/C][C]5286.6[/C][C]5223.38891875749[/C][C]25.620496577184[/C][C]63.2110812425124[/C][C]0.64212250879276[/C][/ROW]
[ROW][C]17[/C][C]5389[/C][C]5461.11898491206[/C][C]32.2379042686047[/C][C]-72.1189849120561[/C][C]1.25058755584069[/C][/ROW]
[ROW][C]18[/C][C]5810.4[/C][C]5558.588160333[/C][C]33.9700815149737[/C][C]251.811839666999[/C][C]0.39016490819968[/C][/ROW]
[ROW][C]19[/C][C]5057.4[/C][C]5275.97791099684[/C][C]26.4224332048454[/C][C]-218.577910996844[/C][C]-1.89781667811523[/C][/ROW]
[ROW][C]20[/C][C]5604.4[/C][C]5421.73506891256[/C][C]29.1793915618612[/C][C]182.664931087436[/C][C]0.714923013341423[/C][/ROW]
[ROW][C]21[/C][C]5285[/C][C]5383.17090061598[/C][C]27.5961012439462[/C][C]-98.1709006159809[/C][C]-0.405440125485163[/C][/ROW]
[ROW][C]22[/C][C]5215.2[/C][C]5242.42734582619[/C][C]23.6353645393944[/C][C]-27.2273458261877[/C][C]-1.00627104712254[/C][/ROW]
[ROW][C]23[/C][C]4625.4[/C][C]4966.33994092497[/C][C]16.8997635365825[/C][C]-340.939940924974[/C][C]-1.78838096596002[/C][/ROW]
[ROW][C]24[/C][C]4270.4[/C][C]4631.22912520781[/C][C]10.0058179112201[/C][C]-360.829125207808[/C][C]-2.10189591320853[/C][/ROW]
[ROW][C]25[/C][C]4685.4[/C][C]4608.97595276755[/C][C]9.47365302528846[/C][C]76.4240472324482[/C][C]-0.1947910996188[/C][/ROW]
[ROW][C]26[/C][C]4233.8[/C][C]4607.47607654932[/C][C]9.24305119489814[/C][C]-373.67607654932[/C][C]-0.0654459278148968[/C][/ROW]
[ROW][C]27[/C][C]5278.4[/C][C]4774.43201084669[/C][C]13.6546288700395[/C][C]503.967989153309[/C][C]0.91298614261321[/C][/ROW]
[ROW][C]28[/C][C]4978.8[/C][C]4933.38201576414[/C][C]18.27756610386[/C][C]45.4179842358579[/C][C]0.837291351654352[/C][/ROW]
[ROW][C]29[/C][C]5333.4[/C][C]5194.11610258208[/C][C]26.0536172461336[/C][C]139.283897417922[/C][C]1.41755998490638[/C][/ROW]
[ROW][C]30[/C][C]5451[/C][C]5189.55649651594[/C][C]25.1186438220892[/C][C]261.44350348406[/C][C]-0.181110589932352[/C][/ROW]
[ROW][C]31[/C][C]5224[/C][C]5351.3584709341[/C][C]29.0704130187993[/C][C]-127.358470934104[/C][C]0.812085363783379[/C][/ROW]
[ROW][C]32[/C][C]5790.2[/C][C]5482.91683261454[/C][C]31.9250587120941[/C][C]307.28316738546[/C][C]0.609103805071441[/C][/ROW]
[ROW][C]33[/C][C]5079.4[/C][C]5294.89581536964[/C][C]25.935767263285[/C][C]-215.495815369645[/C][C]-1.30581088288946[/C][/ROW]
[ROW][C]34[/C][C]4705.8[/C][C]4889.98048226922[/C][C]14.4713395268279[/C][C]-184.180482269217[/C][C]-2.55386842708654[/C][/ROW]
[ROW][C]35[/C][C]4139.6[/C][C]4530.99278469784[/C][C]4.87192937879581[/C][C]-391.392784697837[/C][C]-2.21113064351412[/C][/ROW]
[ROW][C]36[/C][C]3720.8[/C][C]4241.69686929584[/C][C]-2.41616237857113[/C][C]-520.896869295836[/C][C]-1.74396761526375[/C][/ROW]
[ROW][C]37[/C][C]4594[/C][C]4334.82461542502[/C][C]-0.0485616623813696[/C][C]259.175384574984[/C][C]0.567653852118041[/C][/ROW]
[ROW][C]38[/C][C]4638.8[/C][C]4733.83895035069[/C][C]10.5793891353758[/C][C]-95.038950350691[/C][C]2.3567226919729[/C][/ROW]
[ROW][C]39[/C][C]4969.4[/C][C]4731.00921995896[/C][C]10.1859363234403[/C][C]238.390780041044[/C][C]-0.0782442343359002[/C][/ROW]
[ROW][C]40[/C][C]4764.4[/C][C]4796.29609256251[/C][C]11.9129148326719[/C][C]-31.8960925625125[/C][C]0.320115561027648[/C][/ROW]
[ROW][C]41[/C][C]5010.8[/C][C]4867.19761741196[/C][C]13.8011755709624[/C][C]143.602382588037[/C][C]0.344621487323491[/C][/ROW]
[ROW][C]42[/C][C]5267.8[/C][C]5001.05542857797[/C][C]17.6008452733588[/C][C]266.744571422032[/C][C]0.706616212227319[/C][/ROW]
[ROW][C]43[/C][C]5312.2[/C][C]5243.77513958352[/C][C]24.5472454334926[/C][C]68.4248604164776[/C][C]1.33016221238487[/C][/ROW]
[ROW][C]44[/C][C]5723.2[/C][C]5272.85675995499[/C][C]24.6835185200172[/C][C]450.343240045014[/C][C]0.0268046559183553[/C][/ROW]
[ROW][C]45[/C][C]4579.6[/C][C]4902.81372078726[/C][C]13.093331674005[/C][C]-323.213720787264[/C][C]-2.33053604676901[/C][/ROW]
[ROW][C]46[/C][C]5015.2[/C][C]4870.20730032972[/C][C]11.7794537371327[/C][C]144.992699670284[/C][C]-0.26942886593488[/C][/ROW]
[ROW][C]47[/C][C]4282.4[/C][C]4715.33008340905[/C][C]7.07525628139459[/C][C]-432.930083409049[/C][C]-0.982149159968076[/C][/ROW]
[ROW][C]48[/C][C]3834.2[/C][C]4574.73980044735[/C][C]2.94498931908573[/C][C]-740.539800447345[/C][C]-0.871207641035025[/C][/ROW]
[ROW][C]49[/C][C]4523.4[/C][C]4500.22989299885[/C][C]0.75620521800561[/C][C]23.1701070011473[/C][C]-0.457228292666713[/C][/ROW]
[ROW][C]50[/C][C]3884.2[/C][C]4237.34331126656[/C][C]-6.93742664926446[/C][C]-353.143311266564[/C][C]-1.5511470235156[/C][/ROW]
[ROW][C]51[/C][C]3897.8[/C][C]3933.24184738928[/C][C]-15.9708886309757[/C][C]-35.4418473892757[/C][C]-1.73816991300464[/C][/ROW]
[ROW][C]52[/C][C]4845.6[/C][C]4374.15076473105[/C][C]-1.62746262404798[/C][C]471.449235268949[/C][C]2.66493017318115[/C][/ROW]
[ROW][C]53[/C][C]4929[/C][C]4697.14262108772[/C][C]8.71674066011125[/C][C]231.857378912285[/C][C]1.89797778717231[/C][/ROW]
[ROW][C]54[/C][C]4955.4[/C][C]4794.0228030083[/C][C]11.5222510642621[/C][C]161.377196991702[/C][C]0.517742136290946[/C][/ROW]
[ROW][C]55[/C][C]5198.4[/C][C]4940.16821022118[/C][C]15.7563131357587[/C][C]258.231789778825[/C][C]0.792824706425364[/C][/ROW]
[ROW][C]56[/C][C]5122.2[/C][C]4734.06749071772[/C][C]8.88870408059683[/C][C]388.132509282283[/C][C]-1.30702140406632[/C][/ROW]
[ROW][C]57[/C][C]4643.2[/C][C]4788.16129450362[/C][C]10.265700019028[/C][C]-144.961294503622[/C][C]0.266016364556069[/C][/ROW]
[ROW][C]58[/C][C]4789.8[/C][C]4673.66330648852[/C][C]6.51819874714875[/C][C]116.136693511484[/C][C]-0.733366488320058[/C][/ROW]
[ROW][C]59[/C][C]3950.8[/C][C]4462.68531466575[/C][C]0.0487888979837345[/C][C]-511.885314665751[/C][C]-1.27837525546704[/C][/ROW]
[ROW][C]60[/C][C]3824.4[/C][C]4427.15240545924[/C][C]-1.00695409025184[/C][C]-602.75240545924[/C][C]-0.209326992983624[/C][/ROW]
[ROW][C]61[/C][C]4511.8[/C][C]4369.64849342872[/C][C]-2.69540441780173[/C][C]142.151506571277[/C][C]-0.332466777583108[/C][/ROW]
[ROW][C]62[/C][C]4262.4[/C][C]4456.67096303991[/C][C]0.0288965777384496[/C][C]-194.270963039912[/C][C]0.526973769916083[/C][/ROW]
[ROW][C]63[/C][C]4616.6[/C][C]4716.53352315161[/C][C]8.07269039350041[/C][C]-99.9335231516129[/C][C]1.5213554753741[/C][/ROW]
[ROW][C]64[/C][C]5139.6[/C][C]4831.1968559578[/C][C]11.4260993654739[/C][C]308.403144042202[/C][C]0.623033303402969[/C][/ROW]
[ROW][C]65[/C][C]4972.8[/C][C]4839.35103858081[/C][C]11.3222614393466[/C][C]133.448961419192[/C][C]-0.0191458914937186[/C][/ROW]
[ROW][C]66[/C][C]5222[/C][C]4966.94144537964[/C][C]15.0145457580837[/C][C]255.058554620362[/C][C]0.682108505902509[/C][/ROW]
[ROW][C]67[/C][C]5242[/C][C]4945.80372477857[/C][C]13.8728291051149[/C][C]296.196275221432[/C][C]-0.212491116742947[/C][/ROW]
[ROW][C]68[/C][C]4979.8[/C][C]4768.31682259985[/C][C]7.88333812257461[/C][C]211.483177400152[/C][C]-1.12499709843102[/C][/ROW]
[ROW][C]69[/C][C]4691.8[/C][C]4721.90847123331[/C][C]6.20047123076457[/C][C]-30.10847123331[/C][C]-0.318899058694729[/C][/ROW]
[ROW][C]70[/C][C]4821.6[/C][C]4648.76452473445[/C][C]3.76165216575398[/C][C]172.835475265552[/C][C]-0.465676545614557[/C][/ROW]
[ROW][C]71[/C][C]4123.6[/C][C]4619.96037713005[/C][C]2.76600714270116[/C][C]-496.360377130047[/C][C]-0.191139134140688[/C][/ROW]
[ROW][C]72[/C][C]4027.4[/C][C]4622.35409718238[/C][C]2.75463485083792[/C][C]-594.954097182377[/C][C]-0.00218657309246855[/C][/ROW]
[ROW][C]73[/C][C]4365.2[/C][C]4480.07770071959[/C][C]-1.6941122812728[/C][C]-114.877700719591[/C][C]-0.852023518477628[/C][/ROW]
[ROW][C]74[/C][C]4333.6[/C][C]4557.12152880747[/C][C]0.740915818143092[/C][C]-223.521528807467[/C][C]0.462083392339793[/C][/ROW]
[ROW][C]75[/C][C]4930[/C][C]4830.90049679843[/C][C]9.2667484073289[/C][C]99.0995032015681[/C][C]1.59947136592481[/C][/ROW]
[ROW][C]76[/C][C]5053[/C][C]4844.09844651486[/C][C]9.39052118872415[/C][C]208.901553485143[/C][C]0.0230049083700503[/C][/ROW]
[ROW][C]77[/C][C]5031.4[/C][C]4895.23159111052[/C][C]10.7111228572088[/C][C]136.168408889477[/C][C]0.244406101913541[/C][/ROW]
[ROW][C]78[/C][C]5342[/C][C]4971.44956028249[/C][C]12.7851072570926[/C][C]370.55043971751[/C][C]0.384128631970271[/C][/ROW]
[ROW][C]79[/C][C]5191.4[/C][C]4895.29147854837[/C][C]9.97672992748928[/C][C]296.108521451632[/C][C]-0.522173275006779[/C][/ROW]
[ROW][C]80[/C][C]4852.2[/C][C]4740.55641984776[/C][C]4.80120339114908[/C][C]111.643580152239[/C][C]-0.967124432124407[/C][/ROW]
[ROW][C]81[/C][C]4675.6[/C][C]4677.19246569189[/C][C]2.67114571558889[/C][C]-1.59246569188961[/C][C]-0.399989827935077[/C][/ROW]
[ROW][C]82[/C][C]4689.2[/C][C]4578.70098418314[/C][C]-0.474864692614053[/C][C]110.499015816862[/C][C]-0.593284957754655[/C][/ROW]
[ROW][C]83[/C][C]3809.4[/C][C]4419.95678554312[/C][C]-5.38222696192093[/C][C]-610.556785543124[/C][C]-0.928250013551122[/C][/ROW]
[ROW][C]84[/C][C]4054.2[/C][C]4483.33381743552[/C][C]-3.25111822355517[/C][C]-429.133817435521[/C][C]0.403472721491924[/C][/ROW]
[ROW][C]85[/C][C]4409.6[/C][C]4559.62578789286[/C][C]-0.780232270757159[/C][C]-150.025787892855[/C][C]0.466849740448686[/C][/ROW]
[ROW][C]86[/C][C]4210.2[/C][C]4580.9881198641[/C][C]-0.0894882200278048[/C][C]-370.788119864104[/C][C]0.129882761581531[/C][/ROW]
[ROW][C]87[/C][C]4566.4[/C][C]4535.45260177143[/C][C]-1.51423850351931[/C][C]30.9473982285696[/C][C]-0.266294628185389[/C][/ROW]
[ROW][C]88[/C][C]4907[/C][C]4621.12188151482[/C][C]1.2307580784843[/C][C]285.878118485177[/C][C]0.51052401490666[/C][/ROW]
[ROW][C]89[/C][C]5021.8[/C][C]4767.66283344172[/C][C]5.81783687476476[/C][C]254.137166558279[/C][C]0.851133639925189[/C][/ROW]
[ROW][C]90[/C][C]5215.2[/C][C]4788.945719845[/C][C]6.30628732830498[/C][C]426.254280155001[/C][C]0.0906651877786565[/C][/ROW]
[ROW][C]91[/C][C]4933.6[/C][C]4668.10207004298[/C][C]2.29577351628309[/C][C]265.497929957016[/C][C]-0.745969743316448[/C][/ROW]
[ROW][C]92[/C][C]5197.8[/C][C]4821.67082455553[/C][C]7.0547627612471[/C][C]376.129175444467[/C][C]0.887560816045026[/C][/ROW]
[ROW][C]93[/C][C]4734.6[/C][C]4768.72961194493[/C][C]5.17305599625613[/C][C]-34.1296119449346[/C][C]-0.351864727411332[/C][/ROW]
[ROW][C]94[/C][C]4681.8[/C][C]4633.97010723572[/C][C]0.795979065973967[/C][C]47.829892764279[/C][C]-0.820367991125574[/C][/ROW]
[ROW][C]95[/C][C]4172[/C][C]4710.79441888689[/C][C]3.17020917112819[/C][C]-538.794418886892[/C][C]0.445742386265647[/C][/ROW]
[ROW][C]96[/C][C]4037.8[/C][C]4627.85071740044[/C][C]0.481673647546877[/C][C]-590.050717400441[/C][C]-0.505044779463862[/C][/ROW]
[ROW][C]97[/C][C]4462.6[/C][C]4611.79959969632[/C][C]-0.0350991895124021[/C][C]-149.199599696322[/C][C]-0.0969790125341993[/C][/ROW]
[ROW][C]98[/C][C]4282.6[/C][C]4631.14792769905[/C][C]0.572116270374423[/C][C]-348.54792769905[/C][C]0.1136645878618[/C][/ROW]
[ROW][C]99[/C][C]4962.4[/C][C]4816.44402458252[/C][C]6.37382825416631[/C][C]145.955975417477[/C][C]1.0825496618542[/C][/ROW]
[ROW][C]100[/C][C]4969.2[/C][C]4818.29740348412[/C][C]6.23153229253127[/C][C]150.902596515875[/C][C]-0.0264806292716709[/C][/ROW]
[ROW][C]101[/C][C]5214.6[/C][C]4884.01071550124[/C][C]8.10654171786793[/C][C]330.58928449876[/C][C]0.34849096816938[/C][/ROW]
[ROW][C]102[/C][C]5416.8[/C][C]4928.66702557628[/C][C]9.25905249739913[/C][C]488.132974423723[/C][C]0.214250184054514[/C][/ROW]
[ROW][C]103[/C][C]4764.2[/C][C]4758.53685997945[/C][C]3.60627543906315[/C][C]5.66314002054787[/C][C]-1.05202475537479[/C][/ROW]
[ROW][C]104[/C][C]5326.2[/C][C]4799.00324415632[/C][C]4.76618115774351[/C][C]527.196755843681[/C][C]0.216174452589425[/C][/ROW]
[ROW][C]105[/C][C]4545.4[/C][C]4671.0296829029[/C][C]0.596052433262709[/C][C]-125.629682902896[/C][C]-0.77826744835605[/C][/ROW]
[ROW][C]106[/C][C]4797.2[/C][C]4699.82347548207[/C][C]1.48060390937318[/C][C]97.3765245179312[/C][C]0.165285221999513[/C][/ROW]
[ROW][C]107[/C][C]4259[/C][C]4731.48329020046[/C][C]2.42644325247283[/C][C]-472.483290200457[/C][C]0.176904509048457[/C][/ROW]
[ROW][C]108[/C][C]4117[/C][C]4728.16734038594[/C][C]2.24650012374553[/C][C]-611.167340385941[/C][C]-0.0336684246806234[/C][/ROW]
[ROW][C]109[/C][C]4469.2[/C][C]4697.95219154838[/C][C]1.22866818558604[/C][C]-228.752191548383[/C][C]-0.190352193174391[/C][/ROW]
[ROW][C]110[/C][C]4203.2[/C][C]4670.97207652607[/C][C]0.343164438691691[/C][C]-467.772076526066[/C][C]-0.165385717602216[/C][/ROW]
[ROW][C]111[/C][C]5033.8[/C][C]4777.3834626534[/C][C]3.67726230143421[/C][C]256.416537346602[/C][C]0.621639339161302[/C][/ROW]
[ROW][C]112[/C][C]4883[/C][C]4787.24451259327[/C][C]3.87187145727424[/C][C]95.7554874067342[/C][C]0.0362323364450779[/C][/ROW]
[ROW][C]113[/C][C]5361.6[/C][C]4899.99854630763[/C][C]7.30106066354789[/C][C]461.601453692372[/C][C]0.638012280986564[/C][/ROW]
[ROW][C]114[/C][C]5044.6[/C][C]4707.72665709242[/C][C]1.01441861886515[/C][C]336.873342907584[/C][C]-1.16979449765285[/C][/ROW]
[ROW][C]115[/C][C]5005.6[/C][C]4816.8193356163[/C][C]4.41776418514073[/C][C]188.7806643837[/C][C]0.633671100197643[/C][/ROW]
[ROW][C]116[/C][C]5382[/C][C]4825.11721175839[/C][C]4.53985860252477[/C][C]556.882788241606[/C][C]0.0227499513780853[/C][/ROW]
[ROW][C]117[/C][C]4565.4[/C][C]4771.86310878852[/C][C]2.72288508744905[/C][C]-206.463108788517[/C][C]-0.33879872989104[/C][/ROW]
[ROW][C]118[/C][C]4825[/C][C]4748.89972765011[/C][C]1.91598682412629[/C][C]76.1002723498935[/C][C]-0.150553091057924[/C][/ROW]
[ROW][C]119[/C][C]4290.2[/C][C]4748.39292215303[/C][C]1.83991694803112[/C][C]-458.192922153026[/C][C]-0.0142007367997582[/C][/ROW]
[ROW][C]120[/C][C]3933.6[/C][C]4642.66235329103[/C][C]-1.53720314793252[/C][C]-709.062353291031[/C][C]-0.630597528921593[/C][/ROW]
[ROW][C]121[/C][C]4177.6[/C][C]4515.10274505439[/C][C]-5.49483405445568[/C][C]-337.502745054385[/C][C]-0.738837184867047[/C][/ROW]
[ROW][C]122[/C][C]3949.4[/C][C]4476.40187781144[/C][C]-6.53827036772314[/C][C]-527.001877811443[/C][C]-0.194661017388201[/C][/ROW]
[ROW][C]123[/C][C]4492.6[/C][C]4360.06039216717[/C][C]-9.99107921775654[/C][C]132.539607832829[/C][C]-0.64354877766944[/C][/ROW]
[ROW][C]124[/C][C]4894.2[/C][C]4563.5511125562[/C][C]-3.27383775566713[/C][C]330.648887443803[/C][C]1.25100020267097[/C][/ROW]
[ROW][C]125[/C][C]5224.4[/C][C]4651.563362156[/C][C]-0.400351143921156[/C][C]572.836637844003[/C][C]0.534953444515454[/C][/ROW]
[ROW][C]126[/C][C]5071[/C][C]4729.53354710389[/C][C]2.06684947356095[/C][C]341.466452896115[/C][C]0.459350971848755[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299786&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299786&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
14738.44738.4000
24687.24704.36626253737-1.35462027317347-17.1662625373724-0.152846715091656
35930.85394.9511910778838.3625087395422535.8488089221193.25444449068044
455325562.6519404979343.6674492048863-30.65194049792580.745234972808467
55429.85520.5406178378741.5631695862377-90.7406178378691-0.519468623948054
66107.45799.1169934466245.6170508348033308.2830065533781.44153958180748
75960.85931.3383290980946.980416702292829.46167090190720.525873185220653
85541.85752.2602799920843.2052221151294-210.460279992077-1.36986481045076
95362.25506.005447259937.993449961799-143.805447259902-1.75110335110083
1052375306.9064756395733.4753541089968-69.9064756395675-1.43252700543184
1148275010.6607661964126.9318836365597-183.660766196408-1.99026906444695
124781.64821.0682685362622.4948552365503-39.46826853626-1.30585628771611
134983.24956.8092974750220.992374082985126.39070252498020.730034810237602
144718.45075.7610254867921.9668880977148-357.361025486790.598352239594107
155523.85088.7094581636521.6945892409041435.090541836348-0.0502965647410848
165286.65223.3889187574925.62049657718463.21108124251240.64212250879276
1753895461.1189849120632.2379042686047-72.11898491205611.25058755584069
185810.45558.58816033333.9700815149737251.8118396669990.39016490819968
195057.45275.9779109968426.4224332048454-218.577910996844-1.89781667811523
205604.45421.7350689125629.1793915618612182.6649310874360.714923013341423
2152855383.1709006159827.5961012439462-98.1709006159809-0.405440125485163
225215.25242.4273458261923.6353645393944-27.2273458261877-1.00627104712254
234625.44966.3399409249716.8997635365825-340.939940924974-1.78838096596002
244270.44631.2291252078110.0058179112201-360.829125207808-2.10189591320853
254685.44608.975952767559.4736530252884676.4240472324482-0.1947910996188
264233.84607.476076549329.24305119489814-373.67607654932-0.0654459278148968
275278.44774.4320108466913.6546288700395503.9679891533090.91298614261321
284978.84933.3820157641418.2775661038645.41798423585790.837291351654352
295333.45194.1161025820826.0536172461336139.2838974179221.41755998490638
3054515189.5564965159425.1186438220892261.44350348406-0.181110589932352
3152245351.358470934129.0704130187993-127.3584709341040.812085363783379
325790.25482.9168326145431.9250587120941307.283167385460.609103805071441
335079.45294.8958153696425.935767263285-215.495815369645-1.30581088288946
344705.84889.9804822692214.4713395268279-184.180482269217-2.55386842708654
354139.64530.992784697844.87192937879581-391.392784697837-2.21113064351412
363720.84241.69686929584-2.41616237857113-520.896869295836-1.74396761526375
3745944334.82461542502-0.0485616623813696259.1753845749840.567653852118041
384638.84733.8389503506910.5793891353758-95.0389503506912.3567226919729
394969.44731.0092199589610.1859363234403238.390780041044-0.0782442343359002
404764.44796.2960925625111.9129148326719-31.89609256251250.320115561027648
415010.84867.1976174119613.8011755709624143.6023825880370.344621487323491
425267.85001.0554285779717.6008452733588266.7445714220320.706616212227319
435312.25243.7751395835224.547245433492668.42486041647761.33016221238487
445723.25272.8567599549924.6835185200172450.3432400450140.0268046559183553
454579.64902.8137207872613.093331674005-323.213720787264-2.33053604676901
465015.24870.2073003297211.7794537371327144.992699670284-0.26942886593488
474282.44715.330083409057.07525628139459-432.930083409049-0.982149159968076
483834.24574.739800447352.94498931908573-740.539800447345-0.871207641035025
494523.44500.229892998850.7562052180056123.1701070011473-0.457228292666713
503884.24237.34331126656-6.93742664926446-353.143311266564-1.5511470235156
513897.83933.24184738928-15.9708886309757-35.4418473892757-1.73816991300464
524845.64374.15076473105-1.62746262404798471.4492352689492.66493017318115
5349294697.142621087728.71674066011125231.8573789122851.89797778717231
544955.44794.022803008311.5222510642621161.3771969917020.517742136290946
555198.44940.1682102211815.7563131357587258.2317897788250.792824706425364
565122.24734.067490717728.88870408059683388.132509282283-1.30702140406632
574643.24788.1612945036210.265700019028-144.9612945036220.266016364556069
584789.84673.663306488526.51819874714875116.136693511484-0.733366488320058
593950.84462.685314665750.0487888979837345-511.885314665751-1.27837525546704
603824.44427.15240545924-1.00695409025184-602.75240545924-0.209326992983624
614511.84369.64849342872-2.69540441780173142.151506571277-0.332466777583108
624262.44456.670963039910.0288965777384496-194.2709630399120.526973769916083
634616.64716.533523151618.07269039350041-99.93352315161291.5213554753741
645139.64831.196855957811.4260993654739308.4031440422020.623033303402969
654972.84839.3510385808111.3222614393466133.448961419192-0.0191458914937186
6652224966.9414453796415.0145457580837255.0585546203620.682108505902509
6752424945.8037247785713.8728291051149296.196275221432-0.212491116742947
684979.84768.316822599857.88333812257461211.483177400152-1.12499709843102
694691.84721.908471233316.20047123076457-30.10847123331-0.318899058694729
704821.64648.764524734453.76165216575398172.835475265552-0.465676545614557
714123.64619.960377130052.76600714270116-496.360377130047-0.191139134140688
724027.44622.354097182382.75463485083792-594.954097182377-0.00218657309246855
734365.24480.07770071959-1.6941122812728-114.877700719591-0.852023518477628
744333.64557.121528807470.740915818143092-223.5215288074670.462083392339793
7549304830.900496798439.266748407328999.09950320156811.59947136592481
7650534844.098446514869.39052118872415208.9015534851430.0230049083700503
775031.44895.2315911105210.7111228572088136.1684088894770.244406101913541
7853424971.4495602824912.7851072570926370.550439717510.384128631970271
795191.44895.291478548379.97672992748928296.108521451632-0.522173275006779
804852.24740.556419847764.80120339114908111.643580152239-0.967124432124407
814675.64677.192465691892.67114571558889-1.59246569188961-0.399989827935077
824689.24578.70098418314-0.474864692614053110.499015816862-0.593284957754655
833809.44419.95678554312-5.38222696192093-610.556785543124-0.928250013551122
844054.24483.33381743552-3.25111822355517-429.1338174355210.403472721491924
854409.64559.62578789286-0.780232270757159-150.0257878928550.466849740448686
864210.24580.9881198641-0.0894882200278048-370.7881198641040.129882761581531
874566.44535.45260177143-1.5142385035193130.9473982285696-0.266294628185389
8849074621.121881514821.2307580784843285.8781184851770.51052401490666
895021.84767.662833441725.81783687476476254.1371665582790.851133639925189
905215.24788.9457198456.30628732830498426.2542801550010.0906651877786565
914933.64668.102070042982.29577351628309265.497929957016-0.745969743316448
925197.84821.670824555537.0547627612471376.1291754444670.887560816045026
934734.64768.729611944935.17305599625613-34.1296119449346-0.351864727411332
944681.84633.970107235720.79597906597396747.829892764279-0.820367991125574
9541724710.794418886893.17020917112819-538.7944188868920.445742386265647
964037.84627.850717400440.481673647546877-590.050717400441-0.505044779463862
974462.64611.79959969632-0.0350991895124021-149.199599696322-0.0969790125341993
984282.64631.147927699050.572116270374423-348.547927699050.1136645878618
994962.44816.444024582526.37382825416631145.9559754174771.0825496618542
1004969.24818.297403484126.23153229253127150.902596515875-0.0264806292716709
1015214.64884.010715501248.10654171786793330.589284498760.34849096816938
1025416.84928.667025576289.25905249739913488.1329744237230.214250184054514
1034764.24758.536859979453.606275439063155.66314002054787-1.05202475537479
1045326.24799.003244156324.76618115774351527.1967558436810.216174452589425
1054545.44671.02968290290.596052433262709-125.629682902896-0.77826744835605
1064797.24699.823475482071.4806039093731897.37652451793120.165285221999513
10742594731.483290200462.42644325247283-472.4832902004570.176904509048457
10841174728.167340385942.24650012374553-611.167340385941-0.0336684246806234
1094469.24697.952191548381.22866818558604-228.752191548383-0.190352193174391
1104203.24670.972076526070.343164438691691-467.772076526066-0.165385717602216
1115033.84777.38346265343.67726230143421256.4165373466020.621639339161302
11248834787.244512593273.8718714572742495.75548740673420.0362323364450779
1135361.64899.998546307637.30106066354789461.6014536923720.638012280986564
1145044.64707.726657092421.01441861886515336.873342907584-1.16979449765285
1155005.64816.81933561634.41776418514073188.78066438370.633671100197643
11653824825.117211758394.53985860252477556.8827882416060.0227499513780853
1174565.44771.863108788522.72288508744905-206.463108788517-0.33879872989104
11848254748.899727650111.9159868241262976.1002723498935-0.150553091057924
1194290.24748.392922153031.83991694803112-458.192922153026-0.0142007367997582
1203933.64642.66235329103-1.53720314793252-709.062353291031-0.630597528921593
1214177.64515.10274505439-5.49483405445568-337.502745054385-0.738837184867047
1223949.44476.40187781144-6.53827036772314-527.001877811443-0.194661017388201
1234492.64360.06039216717-9.99107921775654132.539607832829-0.64354877766944
1244894.24563.5511125562-3.27383775566713330.6488874438031.25100020267097
1255224.44651.563362156-0.400351143921156572.8366378440030.534953444515454
12650714729.533547103892.06684947356095341.4664528961150.459350971848755







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14810.396260117114621.05085959585189.345400521266
25251.850247677844620.91458637234630.935661305505
34446.421383009744620.77831314883-174.356930139094
44718.268377926824620.6420399253397.6263380014949
54216.583354049714620.50576670182-403.922412652112
63929.503868474154620.36949347832-690.865625004165
74235.047318830754620.23322025481-385.185901424064
84038.032117032694620.09694703131-582.064829998617
94593.50647908074619.9606738078-26.4541947271009
104922.160388680364619.82440058429302.335988096068
115226.65125200424619.68812736079606.963124643415
125055.195235514694619.55185413728435.643381377403

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4810.39626011711 & 4621.05085959585 & 189.345400521266 \tabularnewline
2 & 5251.85024767784 & 4620.91458637234 & 630.935661305505 \tabularnewline
3 & 4446.42138300974 & 4620.77831314883 & -174.356930139094 \tabularnewline
4 & 4718.26837792682 & 4620.64203992533 & 97.6263380014949 \tabularnewline
5 & 4216.58335404971 & 4620.50576670182 & -403.922412652112 \tabularnewline
6 & 3929.50386847415 & 4620.36949347832 & -690.865625004165 \tabularnewline
7 & 4235.04731883075 & 4620.23322025481 & -385.185901424064 \tabularnewline
8 & 4038.03211703269 & 4620.09694703131 & -582.064829998617 \tabularnewline
9 & 4593.5064790807 & 4619.9606738078 & -26.4541947271009 \tabularnewline
10 & 4922.16038868036 & 4619.82440058429 & 302.335988096068 \tabularnewline
11 & 5226.6512520042 & 4619.68812736079 & 606.963124643415 \tabularnewline
12 & 5055.19523551469 & 4619.55185413728 & 435.643381377403 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299786&T=2

[TABLE]
[ROW][C]Structural Time Series Model -- Extrapolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Seasonal[/C][/ROW]
[ROW][C]1[/C][C]4810.39626011711[/C][C]4621.05085959585[/C][C]189.345400521266[/C][/ROW]
[ROW][C]2[/C][C]5251.85024767784[/C][C]4620.91458637234[/C][C]630.935661305505[/C][/ROW]
[ROW][C]3[/C][C]4446.42138300974[/C][C]4620.77831314883[/C][C]-174.356930139094[/C][/ROW]
[ROW][C]4[/C][C]4718.26837792682[/C][C]4620.64203992533[/C][C]97.6263380014949[/C][/ROW]
[ROW][C]5[/C][C]4216.58335404971[/C][C]4620.50576670182[/C][C]-403.922412652112[/C][/ROW]
[ROW][C]6[/C][C]3929.50386847415[/C][C]4620.36949347832[/C][C]-690.865625004165[/C][/ROW]
[ROW][C]7[/C][C]4235.04731883075[/C][C]4620.23322025481[/C][C]-385.185901424064[/C][/ROW]
[ROW][C]8[/C][C]4038.03211703269[/C][C]4620.09694703131[/C][C]-582.064829998617[/C][/ROW]
[ROW][C]9[/C][C]4593.5064790807[/C][C]4619.9606738078[/C][C]-26.4541947271009[/C][/ROW]
[ROW][C]10[/C][C]4922.16038868036[/C][C]4619.82440058429[/C][C]302.335988096068[/C][/ROW]
[ROW][C]11[/C][C]5226.6512520042[/C][C]4619.68812736079[/C][C]606.963124643415[/C][/ROW]
[ROW][C]12[/C][C]5055.19523551469[/C][C]4619.55185413728[/C][C]435.643381377403[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299786&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299786&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14810.396260117114621.05085959585189.345400521266
25251.850247677844620.91458637234630.935661305505
34446.421383009744620.77831314883-174.356930139094
44718.268377926824620.6420399253397.6263380014949
54216.583354049714620.50576670182-403.922412652112
63929.503868474154620.36949347832-690.865625004165
74235.047318830754620.23322025481-385.185901424064
84038.032117032694620.09694703131-582.064829998617
94593.50647908074619.9606738078-26.4541947271009
104922.160388680364619.82440058429302.335988096068
115226.65125200424619.68812736079606.963124643415
125055.195235514694619.55185413728435.643381377403



Parameters (Session):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
Parameters (R input):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')