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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationTue, 13 Dec 2016 16:24:44 +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/13/t1481643089qwrx7ojknb0zvzu.htm/, Retrieved Sat, 04 May 2024 21:44:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299156, Retrieved Sat, 04 May 2024 21:44:47 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [eefsqc] [2016-12-13 15:24:44] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
3281
3397
3498.5
3538
3449.5
3673
3350.5
3604
3673.5
3747
3616
3580.5
3710
3994.5
4091
3954.5
4004
4287
3831
4046.5
4079.5
4029.5
3880
3855
3841.5
4123.5
4133
3958.5
4003
4151.5
3723
3957
3965.5
3861.5
3917.5
3704
3950
4140.5
4090
4162
4066
4358.5
4022.5
4285.5
4373.5
4284.5
4077.5
4122
4181.5
4535.5
4497
4420.5
4370
4712
4475
4578.5
4751.5
4746
4581.5
4645.5
4751
4952.5
4996.5
4998
4986.5
5348
4933
5263
5330.5
5301
5159
5258.5
5411.5
5536.5
5613
5505.5
5476
5782.5
5283
5451.5
5578
5548.5
5379.5
5117.5
5316.5
5505.5
5620.5
5383.5
5461.5
5658.5
5357.5
5622
5608
5604.5
5399
5185
5221
5379.5
5333
5214
5206.5
5630
5285.5
5512.5
5592.5
5554.5
5284.5
5198.5
5241.5
5455
5548.5
5375
5346
5730.5
5457
5603




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299156&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299156&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299156&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
132813281000
233973376.354438035794.7018378720793820.64556196421490.935391925444076
33498.53462.778343543778.0495449343623435.72165645622841.10426983151475
435383518.017208368468.8995577203885819.98279163153930.709050495517147
53449.53476.513957436518.47908294410184-27.0139574365068-0.761766217326205
636733596.18908779359.2351332322518676.81091220649671.67901209008718
73350.53446.739071396928.07684433809272-96.2390713969213-2.39456169791209
836043526.318051361018.6272870245541677.68194863898621.07869165847964
93673.53629.829864655359.3654654295332243.670135344651.43138959829447
1037473716.516059927469.9628365813432630.48394007253761.16644371928666
1136163657.679697515859.43645466633113-41.6796975158522-1.03789328384924
123580.53594.836509402148.88823488018266-14.3365094021367-1.09039082633512
1337103699.511272029875.6678269686963710.48872797012491.60075369366946
143994.53913.03140027567.1686091812207781.46859972440263.02011190827254
1540914044.002714287469.7879974050407546.99728571253651.73534117276253
163954.53989.911187652688.72081605157946-35.4111876526768-0.944384072090351
1740044031.481124211579.03716923552463-27.4811242115720.494877307916825
1842874114.121934238619.47454642875261172.878065761391.11087811179028
1938314026.912204054188.99031469201648-195.912204054179-1.45858382487385
204046.54006.878516309058.8390637117585139.6214836909549-0.437674659173303
214079.54038.660303272018.9690173191703140.83969672799210.345947106416405
224029.53999.524168416578.6890857294251529.9758315834314-0.72552598662917
2338803931.37872446438.34674437371611-51.3787244643051-1.15818066149529
2438553913.597232547568.36243911927377-58.5972325475556-0.394214996877545
253841.53919.408105995188.38348789302626-77.9081059951836-0.0394151937143241
264123.54024.252549178478.6571185690958799.2474508215321.43800208503803
2741334063.273172248929.0323601872482269.72682775107880.439531273704786
283958.54040.901687565588.61733078589745-82.4016875655753-0.463035915640483
2940034050.074066421188.62276223512017-47.07406642118430.00832690142058899
304151.53988.583551670938.15996213572152162.916448329075-1.05717277104201
3137233938.676448803967.86586856003285-215.676448803955-0.876059463111548
3239573926.579791914987.7710961853841230.4202080850202-0.301142967505205
333965.53910.486052261747.6565563045436155.0139477382643-0.35997354500591
343861.53841.574100347277.3257784575186819.9258996527302-1.15449273408166
353917.53905.995956375187.465697397545811.50404362481580.860121166754622
3637043829.984233649947.52611520087688-125.984233649936-1.26007036840902
3739503967.643459229227.2369581740091-17.64345922922011.97442419351423
384140.54034.015629184127.39867720567759106.4843708158820.883325136922
3940904028.619476396477.2905731832289461.3805236035294-0.188018743545756
4041624162.158960939578.59633263292454-0.1589609395699091.86642912848756
4140664130.565122533888.23375126764598-64.5651225338785-0.60143550206858
424358.54156.863237165698.35769783304083201.6367628343050.272018226978256
434022.54205.508004640148.57228573890033-183.008004640140.607718617388732
444285.54232.400458534378.6562006741490453.09954146562630.276422432424848
454373.54272.386460096228.78484636072734101.1135399037810.472586331493211
464284.54281.509004134188.785942774568532.990995865821420.00508997379224735
474077.54140.567650489358.53605640387525-63.0676504893452-2.25530524616518
4841224228.273259361438.53469743964865-106.2732593614321.19390424350643
494181.54235.382340503568.53471461521096-53.8823405035627-0.0214994002997317
504535.54360.854214136058.87711235106467174.6457858639481.7474425958392
5144974449.835668800239.4023109413358247.16433119977171.18569913660979
524420.54435.42842622799.20292665235148-14.9284262279033-0.353123064430732
5343704444.510676627219.20195366299522-74.5106766272103-0.00180434538944354
5447124500.283386330719.51484216049887211.7166136692920.700490049567198
5544754610.3492947644610.056822824266-135.3492947644611.51616181951132
564578.54577.634073499.867490089189850.865926510002687-0.645285051109711
574751.54612.091145729879.95662092202262139.4088542701280.370836178005859
5847464665.2285607675810.0708810417280.77143923241620.650676410010067
594581.54679.4494721363410.0768825591009-97.94947213634180.0625042438806099
604645.54735.3192378522310.1033892612263-89.81923785223180.68989146363527
6147514819.3341994536610.1771010083651-68.33419945366461.11187836062075
624952.54823.3922807284910.1586103281506129.107719271515-0.0914847193297005
634996.54898.946177527110.51887696971197.55382247290050.971864369136844
6449984982.5484812533911.033432619807615.45151874660831.08679779773037
654986.55057.4268131840511.4910946447285-70.92681318405360.954642195137701
6653485135.9673323487911.9172078960013212.0326676512141.0077327243653
6749335096.266884325911.6454232221161-163.266884325895-0.777889853192137
6852635203.487360987212.051810393316359.51263901280341.44140516338567
695330.55218.7687454655612.0625198979209111.731254534440.048690149358563
7053015227.5873473135712.054883963507973.4126526864277-0.0488709075589929
7151595264.4712987185312.0908962835593-105.471298718530.373888071628276
725258.55340.2372226106412.1551455234404-81.73722261063950.958581262344267
735411.55439.5601134303512.2879829935444-28.06011343035081.30983281239051
745536.55454.7134646877112.296671532190881.7865353122940.0428647881972026
7556135519.90854390912.553089695839393.09145609099710.788134393659385
765505.55530.8274563666212.5431184401986-25.3274563666195-0.0243516152776296
7754765558.94920986312.642806987035-82.94920986299570.233038071354771
785782.55565.1974724169812.6050285138972217.302527583024-0.0960618999947279
7952835519.3925367234212.3112450904529-236.392536723416-0.87975167127203
805451.55441.6287858657611.94514034987569.87121413423728-1.3578466194862
8155785453.3399348186611.9444102664769124.66006518134-0.00352653104319001
825548.55480.55416080411.978520507477867.9458391959970.229997165872257
835379.55508.6657911887812.003369543939-129.1657911887750.24288760619302
845117.55348.0137955925411.7757086119346-230.513795592545-2.59784346793354
855316.55338.5365056407411.7369514930456-22.0365056407446-0.319198221764292
865505.55405.7893445710411.903375986804799.71065542896460.830985286674698
875620.55489.7449370195112.2191619647781130.7550629804911.07540302614722
885383.55454.4329923214611.9621344888536-70.9329923214639-0.709423838413826
895461.55504.1006260138512.17902323222-42.60062601385050.56433871814947
905658.55455.7729482182511.8491489185133202.727051781754-0.908719346295527
915357.55518.2665796224112.0895101887013-160.7665796224140.762401400997578
9256225585.8692738890312.304610935677836.13072611097290.836451107483851
9356085536.4456477023112.120032220159171.5543522976881-0.930002660002599
945604.55528.6427240565512.076181553704875.8572759434515-0.300018968617634
9553995489.4921689792311.9914122634924-90.4921689792277-0.771058790267417
9651855443.7978595115311.9022349077546-258.797859511531-0.867650304122273
9752215338.5764705358711.6675169705819-117.576470535869-1.75871188542605
985379.55310.9913300678811.552042918794668.5086699321158-0.587875463730447
9953335235.407259436211.200810422069297.592740563801-1.30224722658693
10052145267.3938615360911.3020704720459-53.39386153609480.310631875472686
1015206.55251.8275598247411.1620961425273-45.3275598247446-0.402363379780389
10256305375.3649741092411.7264876214232254.6350258907571.68750197695389
1035285.55442.7890300700711.9745224495692-157.2890300700650.838116813669713
1045512.55457.107342098111.983172874454855.39265790189910.0353000657586463
1055592.55493.2594557933812.053175011683999.24054420661740.36401417871155
1065554.55475.3842030337911.987111420239979.1157969662109-0.450593950441996
1075284.55395.7545673018811.8252025913775-111.254567301879-1.37871728435674
1085198.55398.4629463375211.8095633006258-199.96294633752-0.137092266977033
1095241.55363.6285200816211.7108701470372-122.128520081623-0.700362664389735
11054555357.5868454966711.659804858197197.4131545033318-0.266008015037639
1115548.55421.4926957407511.8557343263618127.0073042592470.781615551896301
11253755435.8278124739711.8667508120264-60.82781247397010.0370906498910171
11353465443.9840067129911.8491156611204-97.9840067129927-0.0555957630468257
1145730.55481.691176679511.9689221025452248.8088233205010.388289979577593
11554575570.9611890243512.2914176615004-113.961189024351.16281495240622
11656035571.5090642011512.250116762694631.4909357988512-0.176804240539869

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3281 & 3281 & 0 & 0 & 0 \tabularnewline
2 & 3397 & 3376.35443803579 & 4.70183787207938 & 20.6455619642149 & 0.935391925444076 \tabularnewline
3 & 3498.5 & 3462.77834354377 & 8.04954493436234 & 35.7216564562284 & 1.10426983151475 \tabularnewline
4 & 3538 & 3518.01720836846 & 8.89955772038858 & 19.9827916315393 & 0.709050495517147 \tabularnewline
5 & 3449.5 & 3476.51395743651 & 8.47908294410184 & -27.0139574365068 & -0.761766217326205 \tabularnewline
6 & 3673 & 3596.1890877935 & 9.23513323225186 & 76.8109122064967 & 1.67901209008718 \tabularnewline
7 & 3350.5 & 3446.73907139692 & 8.07684433809272 & -96.2390713969213 & -2.39456169791209 \tabularnewline
8 & 3604 & 3526.31805136101 & 8.62728702455416 & 77.6819486389862 & 1.07869165847964 \tabularnewline
9 & 3673.5 & 3629.82986465535 & 9.36546542953322 & 43.67013534465 & 1.43138959829447 \tabularnewline
10 & 3747 & 3716.51605992746 & 9.96283658134326 & 30.4839400725376 & 1.16644371928666 \tabularnewline
11 & 3616 & 3657.67969751585 & 9.43645466633113 & -41.6796975158522 & -1.03789328384924 \tabularnewline
12 & 3580.5 & 3594.83650940214 & 8.88823488018266 & -14.3365094021367 & -1.09039082633512 \tabularnewline
13 & 3710 & 3699.51127202987 & 5.66782696869637 & 10.4887279701249 & 1.60075369366946 \tabularnewline
14 & 3994.5 & 3913.0314002756 & 7.16860918122077 & 81.4685997244026 & 3.02011190827254 \tabularnewline
15 & 4091 & 4044.00271428746 & 9.78799740504075 & 46.9972857125365 & 1.73534117276253 \tabularnewline
16 & 3954.5 & 3989.91118765268 & 8.72081605157946 & -35.4111876526768 & -0.944384072090351 \tabularnewline
17 & 4004 & 4031.48112421157 & 9.03716923552463 & -27.481124211572 & 0.494877307916825 \tabularnewline
18 & 4287 & 4114.12193423861 & 9.47454642875261 & 172.87806576139 & 1.11087811179028 \tabularnewline
19 & 3831 & 4026.91220405418 & 8.99031469201648 & -195.912204054179 & -1.45858382487385 \tabularnewline
20 & 4046.5 & 4006.87851630905 & 8.83906371175851 & 39.6214836909549 & -0.437674659173303 \tabularnewline
21 & 4079.5 & 4038.66030327201 & 8.96901731917031 & 40.8396967279921 & 0.345947106416405 \tabularnewline
22 & 4029.5 & 3999.52416841657 & 8.68908572942515 & 29.9758315834314 & -0.72552598662917 \tabularnewline
23 & 3880 & 3931.3787244643 & 8.34674437371611 & -51.3787244643051 & -1.15818066149529 \tabularnewline
24 & 3855 & 3913.59723254756 & 8.36243911927377 & -58.5972325475556 & -0.394214996877545 \tabularnewline
25 & 3841.5 & 3919.40810599518 & 8.38348789302626 & -77.9081059951836 & -0.0394151937143241 \tabularnewline
26 & 4123.5 & 4024.25254917847 & 8.65711856909587 & 99.247450821532 & 1.43800208503803 \tabularnewline
27 & 4133 & 4063.27317224892 & 9.03236018724822 & 69.7268277510788 & 0.439531273704786 \tabularnewline
28 & 3958.5 & 4040.90168756558 & 8.61733078589745 & -82.4016875655753 & -0.463035915640483 \tabularnewline
29 & 4003 & 4050.07406642118 & 8.62276223512017 & -47.0740664211843 & 0.00832690142058899 \tabularnewline
30 & 4151.5 & 3988.58355167093 & 8.15996213572152 & 162.916448329075 & -1.05717277104201 \tabularnewline
31 & 3723 & 3938.67644880396 & 7.86586856003285 & -215.676448803955 & -0.876059463111548 \tabularnewline
32 & 3957 & 3926.57979191498 & 7.77109618538412 & 30.4202080850202 & -0.301142967505205 \tabularnewline
33 & 3965.5 & 3910.48605226174 & 7.65655630454361 & 55.0139477382643 & -0.35997354500591 \tabularnewline
34 & 3861.5 & 3841.57410034727 & 7.32577845751868 & 19.9258996527302 & -1.15449273408166 \tabularnewline
35 & 3917.5 & 3905.99595637518 & 7.4656973975458 & 11.5040436248158 & 0.860121166754622 \tabularnewline
36 & 3704 & 3829.98423364994 & 7.52611520087688 & -125.984233649936 & -1.26007036840902 \tabularnewline
37 & 3950 & 3967.64345922922 & 7.2369581740091 & -17.6434592292201 & 1.97442419351423 \tabularnewline
38 & 4140.5 & 4034.01562918412 & 7.39867720567759 & 106.484370815882 & 0.883325136922 \tabularnewline
39 & 4090 & 4028.61947639647 & 7.29057318322894 & 61.3805236035294 & -0.188018743545756 \tabularnewline
40 & 4162 & 4162.15896093957 & 8.59633263292454 & -0.158960939569909 & 1.86642912848756 \tabularnewline
41 & 4066 & 4130.56512253388 & 8.23375126764598 & -64.5651225338785 & -0.60143550206858 \tabularnewline
42 & 4358.5 & 4156.86323716569 & 8.35769783304083 & 201.636762834305 & 0.272018226978256 \tabularnewline
43 & 4022.5 & 4205.50800464014 & 8.57228573890033 & -183.00800464014 & 0.607718617388732 \tabularnewline
44 & 4285.5 & 4232.40045853437 & 8.65620067414904 & 53.0995414656263 & 0.276422432424848 \tabularnewline
45 & 4373.5 & 4272.38646009622 & 8.78484636072734 & 101.113539903781 & 0.472586331493211 \tabularnewline
46 & 4284.5 & 4281.50900413418 & 8.78594277456853 & 2.99099586582142 & 0.00508997379224735 \tabularnewline
47 & 4077.5 & 4140.56765048935 & 8.53605640387525 & -63.0676504893452 & -2.25530524616518 \tabularnewline
48 & 4122 & 4228.27325936143 & 8.53469743964865 & -106.273259361432 & 1.19390424350643 \tabularnewline
49 & 4181.5 & 4235.38234050356 & 8.53471461521096 & -53.8823405035627 & -0.0214994002997317 \tabularnewline
50 & 4535.5 & 4360.85421413605 & 8.87711235106467 & 174.645785863948 & 1.7474425958392 \tabularnewline
51 & 4497 & 4449.83566880023 & 9.40231094133582 & 47.1643311997717 & 1.18569913660979 \tabularnewline
52 & 4420.5 & 4435.4284262279 & 9.20292665235148 & -14.9284262279033 & -0.353123064430732 \tabularnewline
53 & 4370 & 4444.51067662721 & 9.20195366299522 & -74.5106766272103 & -0.00180434538944354 \tabularnewline
54 & 4712 & 4500.28338633071 & 9.51484216049887 & 211.716613669292 & 0.700490049567198 \tabularnewline
55 & 4475 & 4610.34929476446 & 10.056822824266 & -135.349294764461 & 1.51616181951132 \tabularnewline
56 & 4578.5 & 4577.63407349 & 9.86749008918985 & 0.865926510002687 & -0.645285051109711 \tabularnewline
57 & 4751.5 & 4612.09114572987 & 9.95662092202262 & 139.408854270128 & 0.370836178005859 \tabularnewline
58 & 4746 & 4665.22856076758 & 10.07088104172 & 80.7714392324162 & 0.650676410010067 \tabularnewline
59 & 4581.5 & 4679.44947213634 & 10.0768825591009 & -97.9494721363418 & 0.0625042438806099 \tabularnewline
60 & 4645.5 & 4735.31923785223 & 10.1033892612263 & -89.8192378522318 & 0.68989146363527 \tabularnewline
61 & 4751 & 4819.33419945366 & 10.1771010083651 & -68.3341994536646 & 1.11187836062075 \tabularnewline
62 & 4952.5 & 4823.39228072849 & 10.1586103281506 & 129.107719271515 & -0.0914847193297005 \tabularnewline
63 & 4996.5 & 4898.9461775271 & 10.518876969711 & 97.5538224729005 & 0.971864369136844 \tabularnewline
64 & 4998 & 4982.54848125339 & 11.0334326198076 & 15.4515187466083 & 1.08679779773037 \tabularnewline
65 & 4986.5 & 5057.42681318405 & 11.4910946447285 & -70.9268131840536 & 0.954642195137701 \tabularnewline
66 & 5348 & 5135.96733234879 & 11.9172078960013 & 212.032667651214 & 1.0077327243653 \tabularnewline
67 & 4933 & 5096.2668843259 & 11.6454232221161 & -163.266884325895 & -0.777889853192137 \tabularnewline
68 & 5263 & 5203.4873609872 & 12.0518103933163 & 59.5126390128034 & 1.44140516338567 \tabularnewline
69 & 5330.5 & 5218.76874546556 & 12.0625198979209 & 111.73125453444 & 0.048690149358563 \tabularnewline
70 & 5301 & 5227.58734731357 & 12.0548839635079 & 73.4126526864277 & -0.0488709075589929 \tabularnewline
71 & 5159 & 5264.47129871853 & 12.0908962835593 & -105.47129871853 & 0.373888071628276 \tabularnewline
72 & 5258.5 & 5340.23722261064 & 12.1551455234404 & -81.7372226106395 & 0.958581262344267 \tabularnewline
73 & 5411.5 & 5439.56011343035 & 12.2879829935444 & -28.0601134303508 & 1.30983281239051 \tabularnewline
74 & 5536.5 & 5454.71346468771 & 12.2966715321908 & 81.786535312294 & 0.0428647881972026 \tabularnewline
75 & 5613 & 5519.908543909 & 12.5530896958393 & 93.0914560909971 & 0.788134393659385 \tabularnewline
76 & 5505.5 & 5530.82745636662 & 12.5431184401986 & -25.3274563666195 & -0.0243516152776296 \tabularnewline
77 & 5476 & 5558.949209863 & 12.642806987035 & -82.9492098629957 & 0.233038071354771 \tabularnewline
78 & 5782.5 & 5565.19747241698 & 12.6050285138972 & 217.302527583024 & -0.0960618999947279 \tabularnewline
79 & 5283 & 5519.39253672342 & 12.3112450904529 & -236.392536723416 & -0.87975167127203 \tabularnewline
80 & 5451.5 & 5441.62878586576 & 11.9451403498756 & 9.87121413423728 & -1.3578466194862 \tabularnewline
81 & 5578 & 5453.33993481866 & 11.9444102664769 & 124.66006518134 & -0.00352653104319001 \tabularnewline
82 & 5548.5 & 5480.554160804 & 11.9785205074778 & 67.945839195997 & 0.229997165872257 \tabularnewline
83 & 5379.5 & 5508.66579118878 & 12.003369543939 & -129.165791188775 & 0.24288760619302 \tabularnewline
84 & 5117.5 & 5348.01379559254 & 11.7757086119346 & -230.513795592545 & -2.59784346793354 \tabularnewline
85 & 5316.5 & 5338.53650564074 & 11.7369514930456 & -22.0365056407446 & -0.319198221764292 \tabularnewline
86 & 5505.5 & 5405.78934457104 & 11.9033759868047 & 99.7106554289646 & 0.830985286674698 \tabularnewline
87 & 5620.5 & 5489.74493701951 & 12.2191619647781 & 130.755062980491 & 1.07540302614722 \tabularnewline
88 & 5383.5 & 5454.43299232146 & 11.9621344888536 & -70.9329923214639 & -0.709423838413826 \tabularnewline
89 & 5461.5 & 5504.10062601385 & 12.17902323222 & -42.6006260138505 & 0.56433871814947 \tabularnewline
90 & 5658.5 & 5455.77294821825 & 11.8491489185133 & 202.727051781754 & -0.908719346295527 \tabularnewline
91 & 5357.5 & 5518.26657962241 & 12.0895101887013 & -160.766579622414 & 0.762401400997578 \tabularnewline
92 & 5622 & 5585.86927388903 & 12.3046109356778 & 36.1307261109729 & 0.836451107483851 \tabularnewline
93 & 5608 & 5536.44564770231 & 12.1200322201591 & 71.5543522976881 & -0.930002660002599 \tabularnewline
94 & 5604.5 & 5528.64272405655 & 12.0761815537048 & 75.8572759434515 & -0.300018968617634 \tabularnewline
95 & 5399 & 5489.49216897923 & 11.9914122634924 & -90.4921689792277 & -0.771058790267417 \tabularnewline
96 & 5185 & 5443.79785951153 & 11.9022349077546 & -258.797859511531 & -0.867650304122273 \tabularnewline
97 & 5221 & 5338.57647053587 & 11.6675169705819 & -117.576470535869 & -1.75871188542605 \tabularnewline
98 & 5379.5 & 5310.99133006788 & 11.5520429187946 & 68.5086699321158 & -0.587875463730447 \tabularnewline
99 & 5333 & 5235.4072594362 & 11.2008104220692 & 97.592740563801 & -1.30224722658693 \tabularnewline
100 & 5214 & 5267.39386153609 & 11.3020704720459 & -53.3938615360948 & 0.310631875472686 \tabularnewline
101 & 5206.5 & 5251.82755982474 & 11.1620961425273 & -45.3275598247446 & -0.402363379780389 \tabularnewline
102 & 5630 & 5375.36497410924 & 11.7264876214232 & 254.635025890757 & 1.68750197695389 \tabularnewline
103 & 5285.5 & 5442.78903007007 & 11.9745224495692 & -157.289030070065 & 0.838116813669713 \tabularnewline
104 & 5512.5 & 5457.1073420981 & 11.9831728744548 & 55.3926579018991 & 0.0353000657586463 \tabularnewline
105 & 5592.5 & 5493.25945579338 & 12.0531750116839 & 99.2405442066174 & 0.36401417871155 \tabularnewline
106 & 5554.5 & 5475.38420303379 & 11.9871114202399 & 79.1157969662109 & -0.450593950441996 \tabularnewline
107 & 5284.5 & 5395.75456730188 & 11.8252025913775 & -111.254567301879 & -1.37871728435674 \tabularnewline
108 & 5198.5 & 5398.46294633752 & 11.8095633006258 & -199.96294633752 & -0.137092266977033 \tabularnewline
109 & 5241.5 & 5363.62852008162 & 11.7108701470372 & -122.128520081623 & -0.700362664389735 \tabularnewline
110 & 5455 & 5357.58684549667 & 11.6598048581971 & 97.4131545033318 & -0.266008015037639 \tabularnewline
111 & 5548.5 & 5421.49269574075 & 11.8557343263618 & 127.007304259247 & 0.781615551896301 \tabularnewline
112 & 5375 & 5435.82781247397 & 11.8667508120264 & -60.8278124739701 & 0.0370906498910171 \tabularnewline
113 & 5346 & 5443.98400671299 & 11.8491156611204 & -97.9840067129927 & -0.0555957630468257 \tabularnewline
114 & 5730.5 & 5481.6911766795 & 11.9689221025452 & 248.808823320501 & 0.388289979577593 \tabularnewline
115 & 5457 & 5570.96118902435 & 12.2914176615004 & -113.96118902435 & 1.16281495240622 \tabularnewline
116 & 5603 & 5571.50906420115 & 12.2501167626946 & 31.4909357988512 & -0.176804240539869 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299156&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]3281[/C][C]3281[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3397[/C][C]3376.35443803579[/C][C]4.70183787207938[/C][C]20.6455619642149[/C][C]0.935391925444076[/C][/ROW]
[ROW][C]3[/C][C]3498.5[/C][C]3462.77834354377[/C][C]8.04954493436234[/C][C]35.7216564562284[/C][C]1.10426983151475[/C][/ROW]
[ROW][C]4[/C][C]3538[/C][C]3518.01720836846[/C][C]8.89955772038858[/C][C]19.9827916315393[/C][C]0.709050495517147[/C][/ROW]
[ROW][C]5[/C][C]3449.5[/C][C]3476.51395743651[/C][C]8.47908294410184[/C][C]-27.0139574365068[/C][C]-0.761766217326205[/C][/ROW]
[ROW][C]6[/C][C]3673[/C][C]3596.1890877935[/C][C]9.23513323225186[/C][C]76.8109122064967[/C][C]1.67901209008718[/C][/ROW]
[ROW][C]7[/C][C]3350.5[/C][C]3446.73907139692[/C][C]8.07684433809272[/C][C]-96.2390713969213[/C][C]-2.39456169791209[/C][/ROW]
[ROW][C]8[/C][C]3604[/C][C]3526.31805136101[/C][C]8.62728702455416[/C][C]77.6819486389862[/C][C]1.07869165847964[/C][/ROW]
[ROW][C]9[/C][C]3673.5[/C][C]3629.82986465535[/C][C]9.36546542953322[/C][C]43.67013534465[/C][C]1.43138959829447[/C][/ROW]
[ROW][C]10[/C][C]3747[/C][C]3716.51605992746[/C][C]9.96283658134326[/C][C]30.4839400725376[/C][C]1.16644371928666[/C][/ROW]
[ROW][C]11[/C][C]3616[/C][C]3657.67969751585[/C][C]9.43645466633113[/C][C]-41.6796975158522[/C][C]-1.03789328384924[/C][/ROW]
[ROW][C]12[/C][C]3580.5[/C][C]3594.83650940214[/C][C]8.88823488018266[/C][C]-14.3365094021367[/C][C]-1.09039082633512[/C][/ROW]
[ROW][C]13[/C][C]3710[/C][C]3699.51127202987[/C][C]5.66782696869637[/C][C]10.4887279701249[/C][C]1.60075369366946[/C][/ROW]
[ROW][C]14[/C][C]3994.5[/C][C]3913.0314002756[/C][C]7.16860918122077[/C][C]81.4685997244026[/C][C]3.02011190827254[/C][/ROW]
[ROW][C]15[/C][C]4091[/C][C]4044.00271428746[/C][C]9.78799740504075[/C][C]46.9972857125365[/C][C]1.73534117276253[/C][/ROW]
[ROW][C]16[/C][C]3954.5[/C][C]3989.91118765268[/C][C]8.72081605157946[/C][C]-35.4111876526768[/C][C]-0.944384072090351[/C][/ROW]
[ROW][C]17[/C][C]4004[/C][C]4031.48112421157[/C][C]9.03716923552463[/C][C]-27.481124211572[/C][C]0.494877307916825[/C][/ROW]
[ROW][C]18[/C][C]4287[/C][C]4114.12193423861[/C][C]9.47454642875261[/C][C]172.87806576139[/C][C]1.11087811179028[/C][/ROW]
[ROW][C]19[/C][C]3831[/C][C]4026.91220405418[/C][C]8.99031469201648[/C][C]-195.912204054179[/C][C]-1.45858382487385[/C][/ROW]
[ROW][C]20[/C][C]4046.5[/C][C]4006.87851630905[/C][C]8.83906371175851[/C][C]39.6214836909549[/C][C]-0.437674659173303[/C][/ROW]
[ROW][C]21[/C][C]4079.5[/C][C]4038.66030327201[/C][C]8.96901731917031[/C][C]40.8396967279921[/C][C]0.345947106416405[/C][/ROW]
[ROW][C]22[/C][C]4029.5[/C][C]3999.52416841657[/C][C]8.68908572942515[/C][C]29.9758315834314[/C][C]-0.72552598662917[/C][/ROW]
[ROW][C]23[/C][C]3880[/C][C]3931.3787244643[/C][C]8.34674437371611[/C][C]-51.3787244643051[/C][C]-1.15818066149529[/C][/ROW]
[ROW][C]24[/C][C]3855[/C][C]3913.59723254756[/C][C]8.36243911927377[/C][C]-58.5972325475556[/C][C]-0.394214996877545[/C][/ROW]
[ROW][C]25[/C][C]3841.5[/C][C]3919.40810599518[/C][C]8.38348789302626[/C][C]-77.9081059951836[/C][C]-0.0394151937143241[/C][/ROW]
[ROW][C]26[/C][C]4123.5[/C][C]4024.25254917847[/C][C]8.65711856909587[/C][C]99.247450821532[/C][C]1.43800208503803[/C][/ROW]
[ROW][C]27[/C][C]4133[/C][C]4063.27317224892[/C][C]9.03236018724822[/C][C]69.7268277510788[/C][C]0.439531273704786[/C][/ROW]
[ROW][C]28[/C][C]3958.5[/C][C]4040.90168756558[/C][C]8.61733078589745[/C][C]-82.4016875655753[/C][C]-0.463035915640483[/C][/ROW]
[ROW][C]29[/C][C]4003[/C][C]4050.07406642118[/C][C]8.62276223512017[/C][C]-47.0740664211843[/C][C]0.00832690142058899[/C][/ROW]
[ROW][C]30[/C][C]4151.5[/C][C]3988.58355167093[/C][C]8.15996213572152[/C][C]162.916448329075[/C][C]-1.05717277104201[/C][/ROW]
[ROW][C]31[/C][C]3723[/C][C]3938.67644880396[/C][C]7.86586856003285[/C][C]-215.676448803955[/C][C]-0.876059463111548[/C][/ROW]
[ROW][C]32[/C][C]3957[/C][C]3926.57979191498[/C][C]7.77109618538412[/C][C]30.4202080850202[/C][C]-0.301142967505205[/C][/ROW]
[ROW][C]33[/C][C]3965.5[/C][C]3910.48605226174[/C][C]7.65655630454361[/C][C]55.0139477382643[/C][C]-0.35997354500591[/C][/ROW]
[ROW][C]34[/C][C]3861.5[/C][C]3841.57410034727[/C][C]7.32577845751868[/C][C]19.9258996527302[/C][C]-1.15449273408166[/C][/ROW]
[ROW][C]35[/C][C]3917.5[/C][C]3905.99595637518[/C][C]7.4656973975458[/C][C]11.5040436248158[/C][C]0.860121166754622[/C][/ROW]
[ROW][C]36[/C][C]3704[/C][C]3829.98423364994[/C][C]7.52611520087688[/C][C]-125.984233649936[/C][C]-1.26007036840902[/C][/ROW]
[ROW][C]37[/C][C]3950[/C][C]3967.64345922922[/C][C]7.2369581740091[/C][C]-17.6434592292201[/C][C]1.97442419351423[/C][/ROW]
[ROW][C]38[/C][C]4140.5[/C][C]4034.01562918412[/C][C]7.39867720567759[/C][C]106.484370815882[/C][C]0.883325136922[/C][/ROW]
[ROW][C]39[/C][C]4090[/C][C]4028.61947639647[/C][C]7.29057318322894[/C][C]61.3805236035294[/C][C]-0.188018743545756[/C][/ROW]
[ROW][C]40[/C][C]4162[/C][C]4162.15896093957[/C][C]8.59633263292454[/C][C]-0.158960939569909[/C][C]1.86642912848756[/C][/ROW]
[ROW][C]41[/C][C]4066[/C][C]4130.56512253388[/C][C]8.23375126764598[/C][C]-64.5651225338785[/C][C]-0.60143550206858[/C][/ROW]
[ROW][C]42[/C][C]4358.5[/C][C]4156.86323716569[/C][C]8.35769783304083[/C][C]201.636762834305[/C][C]0.272018226978256[/C][/ROW]
[ROW][C]43[/C][C]4022.5[/C][C]4205.50800464014[/C][C]8.57228573890033[/C][C]-183.00800464014[/C][C]0.607718617388732[/C][/ROW]
[ROW][C]44[/C][C]4285.5[/C][C]4232.40045853437[/C][C]8.65620067414904[/C][C]53.0995414656263[/C][C]0.276422432424848[/C][/ROW]
[ROW][C]45[/C][C]4373.5[/C][C]4272.38646009622[/C][C]8.78484636072734[/C][C]101.113539903781[/C][C]0.472586331493211[/C][/ROW]
[ROW][C]46[/C][C]4284.5[/C][C]4281.50900413418[/C][C]8.78594277456853[/C][C]2.99099586582142[/C][C]0.00508997379224735[/C][/ROW]
[ROW][C]47[/C][C]4077.5[/C][C]4140.56765048935[/C][C]8.53605640387525[/C][C]-63.0676504893452[/C][C]-2.25530524616518[/C][/ROW]
[ROW][C]48[/C][C]4122[/C][C]4228.27325936143[/C][C]8.53469743964865[/C][C]-106.273259361432[/C][C]1.19390424350643[/C][/ROW]
[ROW][C]49[/C][C]4181.5[/C][C]4235.38234050356[/C][C]8.53471461521096[/C][C]-53.8823405035627[/C][C]-0.0214994002997317[/C][/ROW]
[ROW][C]50[/C][C]4535.5[/C][C]4360.85421413605[/C][C]8.87711235106467[/C][C]174.645785863948[/C][C]1.7474425958392[/C][/ROW]
[ROW][C]51[/C][C]4497[/C][C]4449.83566880023[/C][C]9.40231094133582[/C][C]47.1643311997717[/C][C]1.18569913660979[/C][/ROW]
[ROW][C]52[/C][C]4420.5[/C][C]4435.4284262279[/C][C]9.20292665235148[/C][C]-14.9284262279033[/C][C]-0.353123064430732[/C][/ROW]
[ROW][C]53[/C][C]4370[/C][C]4444.51067662721[/C][C]9.20195366299522[/C][C]-74.5106766272103[/C][C]-0.00180434538944354[/C][/ROW]
[ROW][C]54[/C][C]4712[/C][C]4500.28338633071[/C][C]9.51484216049887[/C][C]211.716613669292[/C][C]0.700490049567198[/C][/ROW]
[ROW][C]55[/C][C]4475[/C][C]4610.34929476446[/C][C]10.056822824266[/C][C]-135.349294764461[/C][C]1.51616181951132[/C][/ROW]
[ROW][C]56[/C][C]4578.5[/C][C]4577.63407349[/C][C]9.86749008918985[/C][C]0.865926510002687[/C][C]-0.645285051109711[/C][/ROW]
[ROW][C]57[/C][C]4751.5[/C][C]4612.09114572987[/C][C]9.95662092202262[/C][C]139.408854270128[/C][C]0.370836178005859[/C][/ROW]
[ROW][C]58[/C][C]4746[/C][C]4665.22856076758[/C][C]10.07088104172[/C][C]80.7714392324162[/C][C]0.650676410010067[/C][/ROW]
[ROW][C]59[/C][C]4581.5[/C][C]4679.44947213634[/C][C]10.0768825591009[/C][C]-97.9494721363418[/C][C]0.0625042438806099[/C][/ROW]
[ROW][C]60[/C][C]4645.5[/C][C]4735.31923785223[/C][C]10.1033892612263[/C][C]-89.8192378522318[/C][C]0.68989146363527[/C][/ROW]
[ROW][C]61[/C][C]4751[/C][C]4819.33419945366[/C][C]10.1771010083651[/C][C]-68.3341994536646[/C][C]1.11187836062075[/C][/ROW]
[ROW][C]62[/C][C]4952.5[/C][C]4823.39228072849[/C][C]10.1586103281506[/C][C]129.107719271515[/C][C]-0.0914847193297005[/C][/ROW]
[ROW][C]63[/C][C]4996.5[/C][C]4898.9461775271[/C][C]10.518876969711[/C][C]97.5538224729005[/C][C]0.971864369136844[/C][/ROW]
[ROW][C]64[/C][C]4998[/C][C]4982.54848125339[/C][C]11.0334326198076[/C][C]15.4515187466083[/C][C]1.08679779773037[/C][/ROW]
[ROW][C]65[/C][C]4986.5[/C][C]5057.42681318405[/C][C]11.4910946447285[/C][C]-70.9268131840536[/C][C]0.954642195137701[/C][/ROW]
[ROW][C]66[/C][C]5348[/C][C]5135.96733234879[/C][C]11.9172078960013[/C][C]212.032667651214[/C][C]1.0077327243653[/C][/ROW]
[ROW][C]67[/C][C]4933[/C][C]5096.2668843259[/C][C]11.6454232221161[/C][C]-163.266884325895[/C][C]-0.777889853192137[/C][/ROW]
[ROW][C]68[/C][C]5263[/C][C]5203.4873609872[/C][C]12.0518103933163[/C][C]59.5126390128034[/C][C]1.44140516338567[/C][/ROW]
[ROW][C]69[/C][C]5330.5[/C][C]5218.76874546556[/C][C]12.0625198979209[/C][C]111.73125453444[/C][C]0.048690149358563[/C][/ROW]
[ROW][C]70[/C][C]5301[/C][C]5227.58734731357[/C][C]12.0548839635079[/C][C]73.4126526864277[/C][C]-0.0488709075589929[/C][/ROW]
[ROW][C]71[/C][C]5159[/C][C]5264.47129871853[/C][C]12.0908962835593[/C][C]-105.47129871853[/C][C]0.373888071628276[/C][/ROW]
[ROW][C]72[/C][C]5258.5[/C][C]5340.23722261064[/C][C]12.1551455234404[/C][C]-81.7372226106395[/C][C]0.958581262344267[/C][/ROW]
[ROW][C]73[/C][C]5411.5[/C][C]5439.56011343035[/C][C]12.2879829935444[/C][C]-28.0601134303508[/C][C]1.30983281239051[/C][/ROW]
[ROW][C]74[/C][C]5536.5[/C][C]5454.71346468771[/C][C]12.2966715321908[/C][C]81.786535312294[/C][C]0.0428647881972026[/C][/ROW]
[ROW][C]75[/C][C]5613[/C][C]5519.908543909[/C][C]12.5530896958393[/C][C]93.0914560909971[/C][C]0.788134393659385[/C][/ROW]
[ROW][C]76[/C][C]5505.5[/C][C]5530.82745636662[/C][C]12.5431184401986[/C][C]-25.3274563666195[/C][C]-0.0243516152776296[/C][/ROW]
[ROW][C]77[/C][C]5476[/C][C]5558.949209863[/C][C]12.642806987035[/C][C]-82.9492098629957[/C][C]0.233038071354771[/C][/ROW]
[ROW][C]78[/C][C]5782.5[/C][C]5565.19747241698[/C][C]12.6050285138972[/C][C]217.302527583024[/C][C]-0.0960618999947279[/C][/ROW]
[ROW][C]79[/C][C]5283[/C][C]5519.39253672342[/C][C]12.3112450904529[/C][C]-236.392536723416[/C][C]-0.87975167127203[/C][/ROW]
[ROW][C]80[/C][C]5451.5[/C][C]5441.62878586576[/C][C]11.9451403498756[/C][C]9.87121413423728[/C][C]-1.3578466194862[/C][/ROW]
[ROW][C]81[/C][C]5578[/C][C]5453.33993481866[/C][C]11.9444102664769[/C][C]124.66006518134[/C][C]-0.00352653104319001[/C][/ROW]
[ROW][C]82[/C][C]5548.5[/C][C]5480.554160804[/C][C]11.9785205074778[/C][C]67.945839195997[/C][C]0.229997165872257[/C][/ROW]
[ROW][C]83[/C][C]5379.5[/C][C]5508.66579118878[/C][C]12.003369543939[/C][C]-129.165791188775[/C][C]0.24288760619302[/C][/ROW]
[ROW][C]84[/C][C]5117.5[/C][C]5348.01379559254[/C][C]11.7757086119346[/C][C]-230.513795592545[/C][C]-2.59784346793354[/C][/ROW]
[ROW][C]85[/C][C]5316.5[/C][C]5338.53650564074[/C][C]11.7369514930456[/C][C]-22.0365056407446[/C][C]-0.319198221764292[/C][/ROW]
[ROW][C]86[/C][C]5505.5[/C][C]5405.78934457104[/C][C]11.9033759868047[/C][C]99.7106554289646[/C][C]0.830985286674698[/C][/ROW]
[ROW][C]87[/C][C]5620.5[/C][C]5489.74493701951[/C][C]12.2191619647781[/C][C]130.755062980491[/C][C]1.07540302614722[/C][/ROW]
[ROW][C]88[/C][C]5383.5[/C][C]5454.43299232146[/C][C]11.9621344888536[/C][C]-70.9329923214639[/C][C]-0.709423838413826[/C][/ROW]
[ROW][C]89[/C][C]5461.5[/C][C]5504.10062601385[/C][C]12.17902323222[/C][C]-42.6006260138505[/C][C]0.56433871814947[/C][/ROW]
[ROW][C]90[/C][C]5658.5[/C][C]5455.77294821825[/C][C]11.8491489185133[/C][C]202.727051781754[/C][C]-0.908719346295527[/C][/ROW]
[ROW][C]91[/C][C]5357.5[/C][C]5518.26657962241[/C][C]12.0895101887013[/C][C]-160.766579622414[/C][C]0.762401400997578[/C][/ROW]
[ROW][C]92[/C][C]5622[/C][C]5585.86927388903[/C][C]12.3046109356778[/C][C]36.1307261109729[/C][C]0.836451107483851[/C][/ROW]
[ROW][C]93[/C][C]5608[/C][C]5536.44564770231[/C][C]12.1200322201591[/C][C]71.5543522976881[/C][C]-0.930002660002599[/C][/ROW]
[ROW][C]94[/C][C]5604.5[/C][C]5528.64272405655[/C][C]12.0761815537048[/C][C]75.8572759434515[/C][C]-0.300018968617634[/C][/ROW]
[ROW][C]95[/C][C]5399[/C][C]5489.49216897923[/C][C]11.9914122634924[/C][C]-90.4921689792277[/C][C]-0.771058790267417[/C][/ROW]
[ROW][C]96[/C][C]5185[/C][C]5443.79785951153[/C][C]11.9022349077546[/C][C]-258.797859511531[/C][C]-0.867650304122273[/C][/ROW]
[ROW][C]97[/C][C]5221[/C][C]5338.57647053587[/C][C]11.6675169705819[/C][C]-117.576470535869[/C][C]-1.75871188542605[/C][/ROW]
[ROW][C]98[/C][C]5379.5[/C][C]5310.99133006788[/C][C]11.5520429187946[/C][C]68.5086699321158[/C][C]-0.587875463730447[/C][/ROW]
[ROW][C]99[/C][C]5333[/C][C]5235.4072594362[/C][C]11.2008104220692[/C][C]97.592740563801[/C][C]-1.30224722658693[/C][/ROW]
[ROW][C]100[/C][C]5214[/C][C]5267.39386153609[/C][C]11.3020704720459[/C][C]-53.3938615360948[/C][C]0.310631875472686[/C][/ROW]
[ROW][C]101[/C][C]5206.5[/C][C]5251.82755982474[/C][C]11.1620961425273[/C][C]-45.3275598247446[/C][C]-0.402363379780389[/C][/ROW]
[ROW][C]102[/C][C]5630[/C][C]5375.36497410924[/C][C]11.7264876214232[/C][C]254.635025890757[/C][C]1.68750197695389[/C][/ROW]
[ROW][C]103[/C][C]5285.5[/C][C]5442.78903007007[/C][C]11.9745224495692[/C][C]-157.289030070065[/C][C]0.838116813669713[/C][/ROW]
[ROW][C]104[/C][C]5512.5[/C][C]5457.1073420981[/C][C]11.9831728744548[/C][C]55.3926579018991[/C][C]0.0353000657586463[/C][/ROW]
[ROW][C]105[/C][C]5592.5[/C][C]5493.25945579338[/C][C]12.0531750116839[/C][C]99.2405442066174[/C][C]0.36401417871155[/C][/ROW]
[ROW][C]106[/C][C]5554.5[/C][C]5475.38420303379[/C][C]11.9871114202399[/C][C]79.1157969662109[/C][C]-0.450593950441996[/C][/ROW]
[ROW][C]107[/C][C]5284.5[/C][C]5395.75456730188[/C][C]11.8252025913775[/C][C]-111.254567301879[/C][C]-1.37871728435674[/C][/ROW]
[ROW][C]108[/C][C]5198.5[/C][C]5398.46294633752[/C][C]11.8095633006258[/C][C]-199.96294633752[/C][C]-0.137092266977033[/C][/ROW]
[ROW][C]109[/C][C]5241.5[/C][C]5363.62852008162[/C][C]11.7108701470372[/C][C]-122.128520081623[/C][C]-0.700362664389735[/C][/ROW]
[ROW][C]110[/C][C]5455[/C][C]5357.58684549667[/C][C]11.6598048581971[/C][C]97.4131545033318[/C][C]-0.266008015037639[/C][/ROW]
[ROW][C]111[/C][C]5548.5[/C][C]5421.49269574075[/C][C]11.8557343263618[/C][C]127.007304259247[/C][C]0.781615551896301[/C][/ROW]
[ROW][C]112[/C][C]5375[/C][C]5435.82781247397[/C][C]11.8667508120264[/C][C]-60.8278124739701[/C][C]0.0370906498910171[/C][/ROW]
[ROW][C]113[/C][C]5346[/C][C]5443.98400671299[/C][C]11.8491156611204[/C][C]-97.9840067129927[/C][C]-0.0555957630468257[/C][/ROW]
[ROW][C]114[/C][C]5730.5[/C][C]5481.6911766795[/C][C]11.9689221025452[/C][C]248.808823320501[/C][C]0.388289979577593[/C][/ROW]
[ROW][C]115[/C][C]5457[/C][C]5570.96118902435[/C][C]12.2914176615004[/C][C]-113.96118902435[/C][C]1.16281495240622[/C][/ROW]
[ROW][C]116[/C][C]5603[/C][C]5571.50906420115[/C][C]12.2501167626946[/C][C]31.4909357988512[/C][C]-0.176804240539869[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299156&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299156&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
132813281000
233973376.354438035794.7018378720793820.64556196421490.935391925444076
33498.53462.778343543778.0495449343623435.72165645622841.10426983151475
435383518.017208368468.8995577203885819.98279163153930.709050495517147
53449.53476.513957436518.47908294410184-27.0139574365068-0.761766217326205
636733596.18908779359.2351332322518676.81091220649671.67901209008718
73350.53446.739071396928.07684433809272-96.2390713969213-2.39456169791209
836043526.318051361018.6272870245541677.68194863898621.07869165847964
93673.53629.829864655359.3654654295332243.670135344651.43138959829447
1037473716.516059927469.9628365813432630.48394007253761.16644371928666
1136163657.679697515859.43645466633113-41.6796975158522-1.03789328384924
123580.53594.836509402148.88823488018266-14.3365094021367-1.09039082633512
1337103699.511272029875.6678269686963710.48872797012491.60075369366946
143994.53913.03140027567.1686091812207781.46859972440263.02011190827254
1540914044.002714287469.7879974050407546.99728571253651.73534117276253
163954.53989.911187652688.72081605157946-35.4111876526768-0.944384072090351
1740044031.481124211579.03716923552463-27.4811242115720.494877307916825
1842874114.121934238619.47454642875261172.878065761391.11087811179028
1938314026.912204054188.99031469201648-195.912204054179-1.45858382487385
204046.54006.878516309058.8390637117585139.6214836909549-0.437674659173303
214079.54038.660303272018.9690173191703140.83969672799210.345947106416405
224029.53999.524168416578.6890857294251529.9758315834314-0.72552598662917
2338803931.37872446438.34674437371611-51.3787244643051-1.15818066149529
2438553913.597232547568.36243911927377-58.5972325475556-0.394214996877545
253841.53919.408105995188.38348789302626-77.9081059951836-0.0394151937143241
264123.54024.252549178478.6571185690958799.2474508215321.43800208503803
2741334063.273172248929.0323601872482269.72682775107880.439531273704786
283958.54040.901687565588.61733078589745-82.4016875655753-0.463035915640483
2940034050.074066421188.62276223512017-47.07406642118430.00832690142058899
304151.53988.583551670938.15996213572152162.916448329075-1.05717277104201
3137233938.676448803967.86586856003285-215.676448803955-0.876059463111548
3239573926.579791914987.7710961853841230.4202080850202-0.301142967505205
333965.53910.486052261747.6565563045436155.0139477382643-0.35997354500591
343861.53841.574100347277.3257784575186819.9258996527302-1.15449273408166
353917.53905.995956375187.465697397545811.50404362481580.860121166754622
3637043829.984233649947.52611520087688-125.984233649936-1.26007036840902
3739503967.643459229227.2369581740091-17.64345922922011.97442419351423
384140.54034.015629184127.39867720567759106.4843708158820.883325136922
3940904028.619476396477.2905731832289461.3805236035294-0.188018743545756
4041624162.158960939578.59633263292454-0.1589609395699091.86642912848756
4140664130.565122533888.23375126764598-64.5651225338785-0.60143550206858
424358.54156.863237165698.35769783304083201.6367628343050.272018226978256
434022.54205.508004640148.57228573890033-183.008004640140.607718617388732
444285.54232.400458534378.6562006741490453.09954146562630.276422432424848
454373.54272.386460096228.78484636072734101.1135399037810.472586331493211
464284.54281.509004134188.785942774568532.990995865821420.00508997379224735
474077.54140.567650489358.53605640387525-63.0676504893452-2.25530524616518
4841224228.273259361438.53469743964865-106.2732593614321.19390424350643
494181.54235.382340503568.53471461521096-53.8823405035627-0.0214994002997317
504535.54360.854214136058.87711235106467174.6457858639481.7474425958392
5144974449.835668800239.4023109413358247.16433119977171.18569913660979
524420.54435.42842622799.20292665235148-14.9284262279033-0.353123064430732
5343704444.510676627219.20195366299522-74.5106766272103-0.00180434538944354
5447124500.283386330719.51484216049887211.7166136692920.700490049567198
5544754610.3492947644610.056822824266-135.3492947644611.51616181951132
564578.54577.634073499.867490089189850.865926510002687-0.645285051109711
574751.54612.091145729879.95662092202262139.4088542701280.370836178005859
5847464665.2285607675810.0708810417280.77143923241620.650676410010067
594581.54679.4494721363410.0768825591009-97.94947213634180.0625042438806099
604645.54735.3192378522310.1033892612263-89.81923785223180.68989146363527
6147514819.3341994536610.1771010083651-68.33419945366461.11187836062075
624952.54823.3922807284910.1586103281506129.107719271515-0.0914847193297005
634996.54898.946177527110.51887696971197.55382247290050.971864369136844
6449984982.5484812533911.033432619807615.45151874660831.08679779773037
654986.55057.4268131840511.4910946447285-70.92681318405360.954642195137701
6653485135.9673323487911.9172078960013212.0326676512141.0077327243653
6749335096.266884325911.6454232221161-163.266884325895-0.777889853192137
6852635203.487360987212.051810393316359.51263901280341.44140516338567
695330.55218.7687454655612.0625198979209111.731254534440.048690149358563
7053015227.5873473135712.054883963507973.4126526864277-0.0488709075589929
7151595264.4712987185312.0908962835593-105.471298718530.373888071628276
725258.55340.2372226106412.1551455234404-81.73722261063950.958581262344267
735411.55439.5601134303512.2879829935444-28.06011343035081.30983281239051
745536.55454.7134646877112.296671532190881.7865353122940.0428647881972026
7556135519.90854390912.553089695839393.09145609099710.788134393659385
765505.55530.8274563666212.5431184401986-25.3274563666195-0.0243516152776296
7754765558.94920986312.642806987035-82.94920986299570.233038071354771
785782.55565.1974724169812.6050285138972217.302527583024-0.0960618999947279
7952835519.3925367234212.3112450904529-236.392536723416-0.87975167127203
805451.55441.6287858657611.94514034987569.87121413423728-1.3578466194862
8155785453.3399348186611.9444102664769124.66006518134-0.00352653104319001
825548.55480.55416080411.978520507477867.9458391959970.229997165872257
835379.55508.6657911887812.003369543939-129.1657911887750.24288760619302
845117.55348.0137955925411.7757086119346-230.513795592545-2.59784346793354
855316.55338.5365056407411.7369514930456-22.0365056407446-0.319198221764292
865505.55405.7893445710411.903375986804799.71065542896460.830985286674698
875620.55489.7449370195112.2191619647781130.7550629804911.07540302614722
885383.55454.4329923214611.9621344888536-70.9329923214639-0.709423838413826
895461.55504.1006260138512.17902323222-42.60062601385050.56433871814947
905658.55455.7729482182511.8491489185133202.727051781754-0.908719346295527
915357.55518.2665796224112.0895101887013-160.7665796224140.762401400997578
9256225585.8692738890312.304610935677836.13072611097290.836451107483851
9356085536.4456477023112.120032220159171.5543522976881-0.930002660002599
945604.55528.6427240565512.076181553704875.8572759434515-0.300018968617634
9553995489.4921689792311.9914122634924-90.4921689792277-0.771058790267417
9651855443.7978595115311.9022349077546-258.797859511531-0.867650304122273
9752215338.5764705358711.6675169705819-117.576470535869-1.75871188542605
985379.55310.9913300678811.552042918794668.5086699321158-0.587875463730447
9953335235.407259436211.200810422069297.592740563801-1.30224722658693
10052145267.3938615360911.3020704720459-53.39386153609480.310631875472686
1015206.55251.8275598247411.1620961425273-45.3275598247446-0.402363379780389
10256305375.3649741092411.7264876214232254.6350258907571.68750197695389
1035285.55442.7890300700711.9745224495692-157.2890300700650.838116813669713
1045512.55457.107342098111.983172874454855.39265790189910.0353000657586463
1055592.55493.2594557933812.053175011683999.24054420661740.36401417871155
1065554.55475.3842030337911.987111420239979.1157969662109-0.450593950441996
1075284.55395.7545673018811.8252025913775-111.254567301879-1.37871728435674
1085198.55398.4629463375211.8095633006258-199.96294633752-0.137092266977033
1095241.55363.6285200816211.7108701470372-122.128520081623-0.700362664389735
11054555357.5868454966711.659804858197197.4131545033318-0.266008015037639
1115548.55421.4926957407511.8557343263618127.0073042592470.781615551896301
11253755435.8278124739711.8667508120264-60.82781247397010.0370906498910171
11353465443.9840067129911.8491156611204-97.9840067129927-0.0555957630468257
1145730.55481.691176679511.9689221025452248.8088233205010.388289979577593
11554575570.9611890243512.2914176615004-113.961189024351.16281495240622
11656035571.5090642011512.250116762694631.4909357988512-0.176804240539869







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
15687.282818793665570.30741254948116.975406244181
25683.739773198535582.69748047914101.042292719393
35465.259459373085595.0875484088-129.828089035721
45402.7093546525607.47761633846-204.76826168646
55478.376599046245619.86768426811-141.491085221872
65701.133608264185632.2577521977768.8758560664039
75779.766343641375644.64782012743135.11852351394
85609.182265941945657.03788805709-47.8556221151541
95571.409152180745669.42795598675-98.0188038060037
105923.02643894795681.81802391641241.208415031498
115607.866804755685694.20809184607-86.3412870903829
125751.68081515595706.5981597757245.0826553801779
135835.963633949565718.98822770538116.975406244181
145832.420588354435731.37829563504101.042292719393
155613.940274528985743.7683635647-129.828089035721
165551.39016980795756.15843149436-204.76826168646
175627.057414202145768.54849942402-141.491085221872
185849.814423420085780.9385673536768.8758560664039

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 5687.28281879366 & 5570.30741254948 & 116.975406244181 \tabularnewline
2 & 5683.73977319853 & 5582.69748047914 & 101.042292719393 \tabularnewline
3 & 5465.25945937308 & 5595.0875484088 & -129.828089035721 \tabularnewline
4 & 5402.709354652 & 5607.47761633846 & -204.76826168646 \tabularnewline
5 & 5478.37659904624 & 5619.86768426811 & -141.491085221872 \tabularnewline
6 & 5701.13360826418 & 5632.25775219777 & 68.8758560664039 \tabularnewline
7 & 5779.76634364137 & 5644.64782012743 & 135.11852351394 \tabularnewline
8 & 5609.18226594194 & 5657.03788805709 & -47.8556221151541 \tabularnewline
9 & 5571.40915218074 & 5669.42795598675 & -98.0188038060037 \tabularnewline
10 & 5923.0264389479 & 5681.81802391641 & 241.208415031498 \tabularnewline
11 & 5607.86680475568 & 5694.20809184607 & -86.3412870903829 \tabularnewline
12 & 5751.6808151559 & 5706.59815977572 & 45.0826553801779 \tabularnewline
13 & 5835.96363394956 & 5718.98822770538 & 116.975406244181 \tabularnewline
14 & 5832.42058835443 & 5731.37829563504 & 101.042292719393 \tabularnewline
15 & 5613.94027452898 & 5743.7683635647 & -129.828089035721 \tabularnewline
16 & 5551.3901698079 & 5756.15843149436 & -204.76826168646 \tabularnewline
17 & 5627.05741420214 & 5768.54849942402 & -141.491085221872 \tabularnewline
18 & 5849.81442342008 & 5780.93856735367 & 68.8758560664039 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299156&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]5687.28281879366[/C][C]5570.30741254948[/C][C]116.975406244181[/C][/ROW]
[ROW][C]2[/C][C]5683.73977319853[/C][C]5582.69748047914[/C][C]101.042292719393[/C][/ROW]
[ROW][C]3[/C][C]5465.25945937308[/C][C]5595.0875484088[/C][C]-129.828089035721[/C][/ROW]
[ROW][C]4[/C][C]5402.709354652[/C][C]5607.47761633846[/C][C]-204.76826168646[/C][/ROW]
[ROW][C]5[/C][C]5478.37659904624[/C][C]5619.86768426811[/C][C]-141.491085221872[/C][/ROW]
[ROW][C]6[/C][C]5701.13360826418[/C][C]5632.25775219777[/C][C]68.8758560664039[/C][/ROW]
[ROW][C]7[/C][C]5779.76634364137[/C][C]5644.64782012743[/C][C]135.11852351394[/C][/ROW]
[ROW][C]8[/C][C]5609.18226594194[/C][C]5657.03788805709[/C][C]-47.8556221151541[/C][/ROW]
[ROW][C]9[/C][C]5571.40915218074[/C][C]5669.42795598675[/C][C]-98.0188038060037[/C][/ROW]
[ROW][C]10[/C][C]5923.0264389479[/C][C]5681.81802391641[/C][C]241.208415031498[/C][/ROW]
[ROW][C]11[/C][C]5607.86680475568[/C][C]5694.20809184607[/C][C]-86.3412870903829[/C][/ROW]
[ROW][C]12[/C][C]5751.6808151559[/C][C]5706.59815977572[/C][C]45.0826553801779[/C][/ROW]
[ROW][C]13[/C][C]5835.96363394956[/C][C]5718.98822770538[/C][C]116.975406244181[/C][/ROW]
[ROW][C]14[/C][C]5832.42058835443[/C][C]5731.37829563504[/C][C]101.042292719393[/C][/ROW]
[ROW][C]15[/C][C]5613.94027452898[/C][C]5743.7683635647[/C][C]-129.828089035721[/C][/ROW]
[ROW][C]16[/C][C]5551.3901698079[/C][C]5756.15843149436[/C][C]-204.76826168646[/C][/ROW]
[ROW][C]17[/C][C]5627.05741420214[/C][C]5768.54849942402[/C][C]-141.491085221872[/C][/ROW]
[ROW][C]18[/C][C]5849.81442342008[/C][C]5780.93856735367[/C][C]68.8758560664039[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299156&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299156&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
15687.282818793665570.30741254948116.975406244181
25683.739773198535582.69748047914101.042292719393
35465.259459373085595.0875484088-129.828089035721
45402.7093546525607.47761633846-204.76826168646
55478.376599046245619.86768426811-141.491085221872
65701.133608264185632.2577521977768.8758560664039
75779.766343641375644.64782012743135.11852351394
85609.182265941945657.03788805709-47.8556221151541
95571.409152180745669.42795598675-98.0188038060037
105923.02643894795681.81802391641241.208415031498
115607.866804755685694.20809184607-86.3412870903829
125751.68081515595706.5981597757245.0826553801779
135835.963633949565718.98822770538116.975406244181
145832.420588354435731.37829563504101.042292719393
155613.940274528985743.7683635647-129.828089035721
165551.39016980795756.15843149436-204.76826168646
175627.057414202145768.54849942402-141.491085221872
185849.814423420085780.9385673536768.8758560664039



Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 1 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 12 ; par2 = 18 ; 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')