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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 computationTue, 13 Dec 2016 16:37:15 +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/t1481644004dlccsrsynbx0eyv.htm/, Retrieved Sat, 04 May 2024 21:13:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299163, Retrieved Sat, 04 May 2024 21:13:17 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2016-12-13 15:37:15] [9b171b8beffcb53bb49a1e7c02b89c12] [Current]
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Dataseries X:
6600
6160
6320
5820
6080
6240
5740
6980
6540
6780
6580
6020
6440
6440
7040
6620
6460
6320
6560
6080
6040
6260
5780
5120
6040
5860
5900
5160
5800
5300
5600
5620
6300
5800
5460
5420
5800
5260
5900
5840
5640
5560
5540
5540
5480
5440
5260
5420
5600
5200
5480
5300
4660
4940
4880
4980
5160
5180
4860
5220
4900
4740
4920
4780
4300
4540
4420
4660
4760
4560
4600
4800
4980
4300
4800
3980
4120
4580
4240
4540
4200
4780
4820
4320
4300
3700
3920
3740
4120
4160
4160
3960
3960
4160
3920
3460
4040
3720
4060
4140
3700
3900
3720
3760
3520
3800
3520
3640
4200
3860
4160
3920
3860
3860
3780




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=299163&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=299163&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299163&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
166006600000
261606422.09662439085-19.576101510668-22.1005972257416-1.41027373297305
363206376.86031929028-21.6522745790453-20.6391749053055-0.209875858246138
458206155.72417230009-34.144801037035-38.8344501052335-1.69500108774459
560806117.97941647253-34.3290859949114-32.4130514781652-0.0314627808578274
662406155.39570264279-31.1855129301025-29.28695099077740.63948227854735
757405992.8282292232-36.29765440172-40.5209486250223-1.18682254567974
869806348.85584973413-22.3566793181915-10.51641942829193.57633814468598
965406415.16994045419-19.4202214030118-21.39312106178350.813329483793387
1067806544.70313769382-14.7568846287556-11.75379538857711.37218546563973
1165806554.36769663212-14.0269037439177-15.04097548715290.225672766221903
1260206354.72963689264-19.3600722793217-24.6365583190327-1.71914702105286
1364406310.18688177665-16.5026445208868183.36035884902-0.334776763607215
1464406362.36951845112-13.6928370079197-12.95256805459150.52975658049319
1570406622.14979037069-4.5891978905631311.82228786659612.31682353902824
1666206623.92697254667-4.41767292246387-14.00957402947730.0567276013736359
1764606562.04001664563-5.7252278053207-8.02335553977498-0.525248287501002
1863206470.03400318281-7.45145304010923-6.40879749615051-0.799351915588806
1965606503.89640028016-6.69995961575593-13.34961415241810.38570121416345
2060806345.12519653464-9.27951204824148-7.97199816746436-1.42619076850529
2160406232.68715366429-10.9414251371326-17.6082507828432-0.970192025732212
2262606237.7367518067-10.6936274326738-4.940612113397970.150666256568846
2357806069.00424179377-13.069216797907-19.7186986773352-1.49084731839331
2451205723.77849935942-17.8127716673509-36.7603307549009-3.13706283574904
2560405743.05424721651-19.6750766035946225.9117192052160.418186426687981
2658605787.43543442421-18.0441186697934-22.1263875136620.541151080554254
2759005819.85953229149-16.95118374567190.9599009928217710.447823915591425
2851605576.81578898639-20.9351772087109-47.6793899650662-2.07032150145703
2958005649.23079822301-19.5400800091304-4.803943480388060.868737643187523
3053005519.27310221955-20.9980571000427-33.2045227787096-1.03655110576414
3156005541.66746018639-20.4745479941014-15.25165749943270.409359988211199
3256205562.78856711371-20.0042148848308-13.59016954505680.393554424928456
3363005823.95864594354-16.9694871135918-3.661660161634272.66507744881573
3458005809.978674434-16.9382962445882-15.08651832578390.0283680768624577
3554605678.55627513896-18.1014606229445-22.7547233604653-1.08719004286592
3654205587.01692249399-18.7783401043461-41.1582214249968-0.698200137996435
3758005573.04796930466-18.9289437486169218.0688578786290.0512702868277384
3852605452.64060612266-20.7646003379268-35.2892282884456-0.892854684416485
3959005599.83164076669-18.036217689478530.78048507791761.52156997878174
4058405695.3641453814-16.5266112572762-42.88471555233461.05287751775878
4156405665.26148789293-16.6798751576216-2.49828117072561-0.127396846757566
4255605627.77218451533-16.8877568624362-32.5891293486831-0.1965564316359
4355405590.22375564728-17.0766926327565-15.1267895814588-0.195875055679977
4455405569.77048037769-17.1056942067884-24.0185050643235-0.0320819256364851
4554805528.23473573213-17.30644706278-6.54694993362576-0.232427440127672
4654405488.88411628678-17.4819703946208-11.2266822527964-0.209905499521781
4752605402.63822737403-18.0148294921721-25.079760853685-0.655152922371983
4854205410.57497344491-17.8444405006877-35.04877571364590.247575443119638
4956005391.1231157295-17.8089654635592211.786829804885-0.0166473879543221
5052005325.68187824927-18.4634392662578-49.9070373440728-0.42895173074374
5154805360.71498284385-17.761878953620232.52982454926780.49039681989955
5253005343.97342814292-17.7508423573283-45.66623852637150.00952541044618462
5346605089.97218837481-19.9225808447569-33.0852597023576-2.22745604363704
5449405032.06833051109-20.231614412356-27.8271785240847-0.360021642214261
5548804970.82282791855-20.5372867403404-21.1846942286252-0.389943696855162
5649804969.24022129302-20.4044717446737-21.49689644927610.180534121202501
5751605026.61190972906-19.88241782090910.8464621274187550.741582981022497
5851805072.58675382505-19.4536115540206-4.915602561756590.628368136095864
5948604996.15449198829-19.8130264824793-38.9022040797964-0.543924893927501
6052205073.91461984023-19.3334662879747-20.91017878871060.932813315790911
6149004931.41500766559-17.2987780539674188.569766354989-1.25297785442009
6247404867.80629912203-17.802077403661-52.9787951802143-0.423378955802914
6349204862.3865026353-17.665125532857237.40611950317510.114382751122239
6447804831.95205294298-17.7828979076225-30.7220368937895-0.119740465066568
6543004641.85653823731-19.1345899776-52.301330753108-1.62952722634997
6645404598.53900112265-19.3024390052679-17.6639141601093-0.229747879173813
6744204530.09787032879-19.6148381707895-26.7664806581593-0.468050561556106
6846604571.43723717729-19.2503630453845-15.00706447837810.581479029764383
6947604627.50902275655-18.81862167308864.356448880600680.719208735286987
7045604593.31953269536-18.9040983676666-7.15158686638736-0.14685389632797
7146004598.99604197191-18.7728040956266-40.87136022975670.234952994102128
7248004661.77242682021-18.4637336705953-1.112262155419360.780758311503373
7349804689.14825741517-19.0502520724306209.7910134483380.460661392673812
7443004557.39160835963-20.0463676689727-73.4111757792985-1.04128143327759
7548004615.85919265574-19.293054584872455.49017518919890.729267155791362
7639804385.98514681648-21.0013247352037-55.5618548329572-1.98072578858813
7741204292.67468215335-21.5009817074852-51.2119809017458-0.685230816996206
7845804383.46409251631-20.81484036707476.932062742196681.06847488934194
7942404333.50131361773-20.977907715766-44.1397788365569-0.277991712642096
8045404399.72576990346-20.5190535698293-7.656240739553460.832796296969516
8142004316.90971780889-20.8333722946925-11.118189989939-0.595433705310289
8247804468.29657168807-19.991115292289819.04405715798011.6469410993311
8348204599.08538427346-19.2915082940531-35.49045454349751.44256256140637
8443204493.95423811419-19.5476699861457-27.5259498198121-0.822709366732225
8543004340.53498429598-18.1931872717061194.362723037036-1.33341568427028
8637004125.23879976433-19.6397750669379-101.213692271335-1.83502929025181
8739204008.51573161596-20.46340729497271.019927992907-0.905512634845027
8837403915.38421116367-20.9931833742992-54.4136348980941-0.685059374469188
8941203992.97758369439-20.379399919373-38.48119829952010.935651330370921
9041604036.82509063578-20.026004135389314.84215901246030.611833919611106
9141604086.03972335565-19.6774300813597-43.14252081874240.6609849723813
9239604031.71136477718-19.8414603633636-13.0162751809685-0.331191386702838
9339604002.55896755831-19.8837183184275-26.7722042872754-0.0890596277384575
9441604042.36776345014-19.621658438354216.35912511076570.571238098083537
9539203997.86384824328-19.7237035851771-35.6176942050649-0.238224149420161
9634603801.85719733385-20.14513208764-41.6022364101657-1.69089856152579
9740403787.84775069559-20.194861276014241.4534919708470.0607033062278053
9837203782.81266489989-20.1008854967518-87.86061748608530.141953992867666
9940603840.84432653018-19.506789041647690.47415517587660.73118183868445
10041403957.20733770528-18.6028509228235-43.4273313638751.28310934356248
10137003873.47750059209-18.9742576466549-64.2123990380428-0.618801993481565
10239003865.90589549303-18.91680635852414.87974036020960.10871700078978
10337203816.51743271312-19.0571590287618-45.0424139520347-0.291096250126645
10437603787.92447988356-19.0984391748244-11.7924742994166-0.0911994676748118
10535203692.89864591203-19.4133950213929-44.3364637449982-0.726664355513885
10638003708.6463213943-19.272771009865331.78192233365470.336663101404587
10735203637.413769994-19.463463969526-29.3110260384527-0.497741010719899
10836403639.26233876107-19.4219734593034-35.51406700802270.204550396858977
10942003737.09057592229-20.1892439503066259.5085982543831.15393715831996
11038603804.52293809042-19.7237085650098-89.83704748419290.824122408984812
11141603892.23107098091-18.984229561130390.50243722729121.00813254598358
11239203905.53778136352-18.7859874433044-39.30754128660430.305372919091212
11338603901.13549244469-18.7099194091213-65.25397606011880.136788424968842
11438603868.71151749477-18.774001254584114.3784063698069-0.130843126769414
11537803840.27449491331-18.8152428787815-43.9670292009397-0.0923628823149008

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 6600 & 6600 & 0 & 0 & 0 \tabularnewline
2 & 6160 & 6422.09662439085 & -19.576101510668 & -22.1005972257416 & -1.41027373297305 \tabularnewline
3 & 6320 & 6376.86031929028 & -21.6522745790453 & -20.6391749053055 & -0.209875858246138 \tabularnewline
4 & 5820 & 6155.72417230009 & -34.144801037035 & -38.8344501052335 & -1.69500108774459 \tabularnewline
5 & 6080 & 6117.97941647253 & -34.3290859949114 & -32.4130514781652 & -0.0314627808578274 \tabularnewline
6 & 6240 & 6155.39570264279 & -31.1855129301025 & -29.2869509907774 & 0.63948227854735 \tabularnewline
7 & 5740 & 5992.8282292232 & -36.29765440172 & -40.5209486250223 & -1.18682254567974 \tabularnewline
8 & 6980 & 6348.85584973413 & -22.3566793181915 & -10.5164194282919 & 3.57633814468598 \tabularnewline
9 & 6540 & 6415.16994045419 & -19.4202214030118 & -21.3931210617835 & 0.813329483793387 \tabularnewline
10 & 6780 & 6544.70313769382 & -14.7568846287556 & -11.7537953885771 & 1.37218546563973 \tabularnewline
11 & 6580 & 6554.36769663212 & -14.0269037439177 & -15.0409754871529 & 0.225672766221903 \tabularnewline
12 & 6020 & 6354.72963689264 & -19.3600722793217 & -24.6365583190327 & -1.71914702105286 \tabularnewline
13 & 6440 & 6310.18688177665 & -16.5026445208868 & 183.36035884902 & -0.334776763607215 \tabularnewline
14 & 6440 & 6362.36951845112 & -13.6928370079197 & -12.9525680545915 & 0.52975658049319 \tabularnewline
15 & 7040 & 6622.14979037069 & -4.58919789056313 & 11.8222878665961 & 2.31682353902824 \tabularnewline
16 & 6620 & 6623.92697254667 & -4.41767292246387 & -14.0095740294773 & 0.0567276013736359 \tabularnewline
17 & 6460 & 6562.04001664563 & -5.7252278053207 & -8.02335553977498 & -0.525248287501002 \tabularnewline
18 & 6320 & 6470.03400318281 & -7.45145304010923 & -6.40879749615051 & -0.799351915588806 \tabularnewline
19 & 6560 & 6503.89640028016 & -6.69995961575593 & -13.3496141524181 & 0.38570121416345 \tabularnewline
20 & 6080 & 6345.12519653464 & -9.27951204824148 & -7.97199816746436 & -1.42619076850529 \tabularnewline
21 & 6040 & 6232.68715366429 & -10.9414251371326 & -17.6082507828432 & -0.970192025732212 \tabularnewline
22 & 6260 & 6237.7367518067 & -10.6936274326738 & -4.94061211339797 & 0.150666256568846 \tabularnewline
23 & 5780 & 6069.00424179377 & -13.069216797907 & -19.7186986773352 & -1.49084731839331 \tabularnewline
24 & 5120 & 5723.77849935942 & -17.8127716673509 & -36.7603307549009 & -3.13706283574904 \tabularnewline
25 & 6040 & 5743.05424721651 & -19.6750766035946 & 225.911719205216 & 0.418186426687981 \tabularnewline
26 & 5860 & 5787.43543442421 & -18.0441186697934 & -22.126387513662 & 0.541151080554254 \tabularnewline
27 & 5900 & 5819.85953229149 & -16.9511837456719 & 0.959900992821771 & 0.447823915591425 \tabularnewline
28 & 5160 & 5576.81578898639 & -20.9351772087109 & -47.6793899650662 & -2.07032150145703 \tabularnewline
29 & 5800 & 5649.23079822301 & -19.5400800091304 & -4.80394348038806 & 0.868737643187523 \tabularnewline
30 & 5300 & 5519.27310221955 & -20.9980571000427 & -33.2045227787096 & -1.03655110576414 \tabularnewline
31 & 5600 & 5541.66746018639 & -20.4745479941014 & -15.2516574994327 & 0.409359988211199 \tabularnewline
32 & 5620 & 5562.78856711371 & -20.0042148848308 & -13.5901695450568 & 0.393554424928456 \tabularnewline
33 & 6300 & 5823.95864594354 & -16.9694871135918 & -3.66166016163427 & 2.66507744881573 \tabularnewline
34 & 5800 & 5809.978674434 & -16.9382962445882 & -15.0865183257839 & 0.0283680768624577 \tabularnewline
35 & 5460 & 5678.55627513896 & -18.1014606229445 & -22.7547233604653 & -1.08719004286592 \tabularnewline
36 & 5420 & 5587.01692249399 & -18.7783401043461 & -41.1582214249968 & -0.698200137996435 \tabularnewline
37 & 5800 & 5573.04796930466 & -18.9289437486169 & 218.068857878629 & 0.0512702868277384 \tabularnewline
38 & 5260 & 5452.64060612266 & -20.7646003379268 & -35.2892282884456 & -0.892854684416485 \tabularnewline
39 & 5900 & 5599.83164076669 & -18.0362176894785 & 30.7804850779176 & 1.52156997878174 \tabularnewline
40 & 5840 & 5695.3641453814 & -16.5266112572762 & -42.8847155523346 & 1.05287751775878 \tabularnewline
41 & 5640 & 5665.26148789293 & -16.6798751576216 & -2.49828117072561 & -0.127396846757566 \tabularnewline
42 & 5560 & 5627.77218451533 & -16.8877568624362 & -32.5891293486831 & -0.1965564316359 \tabularnewline
43 & 5540 & 5590.22375564728 & -17.0766926327565 & -15.1267895814588 & -0.195875055679977 \tabularnewline
44 & 5540 & 5569.77048037769 & -17.1056942067884 & -24.0185050643235 & -0.0320819256364851 \tabularnewline
45 & 5480 & 5528.23473573213 & -17.30644706278 & -6.54694993362576 & -0.232427440127672 \tabularnewline
46 & 5440 & 5488.88411628678 & -17.4819703946208 & -11.2266822527964 & -0.209905499521781 \tabularnewline
47 & 5260 & 5402.63822737403 & -18.0148294921721 & -25.079760853685 & -0.655152922371983 \tabularnewline
48 & 5420 & 5410.57497344491 & -17.8444405006877 & -35.0487757136459 & 0.247575443119638 \tabularnewline
49 & 5600 & 5391.1231157295 & -17.8089654635592 & 211.786829804885 & -0.0166473879543221 \tabularnewline
50 & 5200 & 5325.68187824927 & -18.4634392662578 & -49.9070373440728 & -0.42895173074374 \tabularnewline
51 & 5480 & 5360.71498284385 & -17.7618789536202 & 32.5298245492678 & 0.49039681989955 \tabularnewline
52 & 5300 & 5343.97342814292 & -17.7508423573283 & -45.6662385263715 & 0.00952541044618462 \tabularnewline
53 & 4660 & 5089.97218837481 & -19.9225808447569 & -33.0852597023576 & -2.22745604363704 \tabularnewline
54 & 4940 & 5032.06833051109 & -20.231614412356 & -27.8271785240847 & -0.360021642214261 \tabularnewline
55 & 4880 & 4970.82282791855 & -20.5372867403404 & -21.1846942286252 & -0.389943696855162 \tabularnewline
56 & 4980 & 4969.24022129302 & -20.4044717446737 & -21.4968964492761 & 0.180534121202501 \tabularnewline
57 & 5160 & 5026.61190972906 & -19.8824178209091 & 0.846462127418755 & 0.741582981022497 \tabularnewline
58 & 5180 & 5072.58675382505 & -19.4536115540206 & -4.91560256175659 & 0.628368136095864 \tabularnewline
59 & 4860 & 4996.15449198829 & -19.8130264824793 & -38.9022040797964 & -0.543924893927501 \tabularnewline
60 & 5220 & 5073.91461984023 & -19.3334662879747 & -20.9101787887106 & 0.932813315790911 \tabularnewline
61 & 4900 & 4931.41500766559 & -17.2987780539674 & 188.569766354989 & -1.25297785442009 \tabularnewline
62 & 4740 & 4867.80629912203 & -17.802077403661 & -52.9787951802143 & -0.423378955802914 \tabularnewline
63 & 4920 & 4862.3865026353 & -17.6651255328572 & 37.4061195031751 & 0.114382751122239 \tabularnewline
64 & 4780 & 4831.95205294298 & -17.7828979076225 & -30.7220368937895 & -0.119740465066568 \tabularnewline
65 & 4300 & 4641.85653823731 & -19.1345899776 & -52.301330753108 & -1.62952722634997 \tabularnewline
66 & 4540 & 4598.53900112265 & -19.3024390052679 & -17.6639141601093 & -0.229747879173813 \tabularnewline
67 & 4420 & 4530.09787032879 & -19.6148381707895 & -26.7664806581593 & -0.468050561556106 \tabularnewline
68 & 4660 & 4571.43723717729 & -19.2503630453845 & -15.0070644783781 & 0.581479029764383 \tabularnewline
69 & 4760 & 4627.50902275655 & -18.8186216730886 & 4.35644888060068 & 0.719208735286987 \tabularnewline
70 & 4560 & 4593.31953269536 & -18.9040983676666 & -7.15158686638736 & -0.14685389632797 \tabularnewline
71 & 4600 & 4598.99604197191 & -18.7728040956266 & -40.8713602297567 & 0.234952994102128 \tabularnewline
72 & 4800 & 4661.77242682021 & -18.4637336705953 & -1.11226215541936 & 0.780758311503373 \tabularnewline
73 & 4980 & 4689.14825741517 & -19.0502520724306 & 209.791013448338 & 0.460661392673812 \tabularnewline
74 & 4300 & 4557.39160835963 & -20.0463676689727 & -73.4111757792985 & -1.04128143327759 \tabularnewline
75 & 4800 & 4615.85919265574 & -19.2930545848724 & 55.4901751891989 & 0.729267155791362 \tabularnewline
76 & 3980 & 4385.98514681648 & -21.0013247352037 & -55.5618548329572 & -1.98072578858813 \tabularnewline
77 & 4120 & 4292.67468215335 & -21.5009817074852 & -51.2119809017458 & -0.685230816996206 \tabularnewline
78 & 4580 & 4383.46409251631 & -20.8148403670747 & 6.93206274219668 & 1.06847488934194 \tabularnewline
79 & 4240 & 4333.50131361773 & -20.977907715766 & -44.1397788365569 & -0.277991712642096 \tabularnewline
80 & 4540 & 4399.72576990346 & -20.5190535698293 & -7.65624073955346 & 0.832796296969516 \tabularnewline
81 & 4200 & 4316.90971780889 & -20.8333722946925 & -11.118189989939 & -0.595433705310289 \tabularnewline
82 & 4780 & 4468.29657168807 & -19.9911152922898 & 19.0440571579801 & 1.6469410993311 \tabularnewline
83 & 4820 & 4599.08538427346 & -19.2915082940531 & -35.4904545434975 & 1.44256256140637 \tabularnewline
84 & 4320 & 4493.95423811419 & -19.5476699861457 & -27.5259498198121 & -0.822709366732225 \tabularnewline
85 & 4300 & 4340.53498429598 & -18.1931872717061 & 194.362723037036 & -1.33341568427028 \tabularnewline
86 & 3700 & 4125.23879976433 & -19.6397750669379 & -101.213692271335 & -1.83502929025181 \tabularnewline
87 & 3920 & 4008.51573161596 & -20.463407294972 & 71.019927992907 & -0.905512634845027 \tabularnewline
88 & 3740 & 3915.38421116367 & -20.9931833742992 & -54.4136348980941 & -0.685059374469188 \tabularnewline
89 & 4120 & 3992.97758369439 & -20.379399919373 & -38.4811982995201 & 0.935651330370921 \tabularnewline
90 & 4160 & 4036.82509063578 & -20.0260041353893 & 14.8421590124603 & 0.611833919611106 \tabularnewline
91 & 4160 & 4086.03972335565 & -19.6774300813597 & -43.1425208187424 & 0.6609849723813 \tabularnewline
92 & 3960 & 4031.71136477718 & -19.8414603633636 & -13.0162751809685 & -0.331191386702838 \tabularnewline
93 & 3960 & 4002.55896755831 & -19.8837183184275 & -26.7722042872754 & -0.0890596277384575 \tabularnewline
94 & 4160 & 4042.36776345014 & -19.6216584383542 & 16.3591251107657 & 0.571238098083537 \tabularnewline
95 & 3920 & 3997.86384824328 & -19.7237035851771 & -35.6176942050649 & -0.238224149420161 \tabularnewline
96 & 3460 & 3801.85719733385 & -20.14513208764 & -41.6022364101657 & -1.69089856152579 \tabularnewline
97 & 4040 & 3787.84775069559 & -20.194861276014 & 241.453491970847 & 0.0607033062278053 \tabularnewline
98 & 3720 & 3782.81266489989 & -20.1008854967518 & -87.8606174860853 & 0.141953992867666 \tabularnewline
99 & 4060 & 3840.84432653018 & -19.5067890416476 & 90.4741551758766 & 0.73118183868445 \tabularnewline
100 & 4140 & 3957.20733770528 & -18.6028509228235 & -43.427331363875 & 1.28310934356248 \tabularnewline
101 & 3700 & 3873.47750059209 & -18.9742576466549 & -64.2123990380428 & -0.618801993481565 \tabularnewline
102 & 3900 & 3865.90589549303 & -18.916806358524 & 14.8797403602096 & 0.10871700078978 \tabularnewline
103 & 3720 & 3816.51743271312 & -19.0571590287618 & -45.0424139520347 & -0.291096250126645 \tabularnewline
104 & 3760 & 3787.92447988356 & -19.0984391748244 & -11.7924742994166 & -0.0911994676748118 \tabularnewline
105 & 3520 & 3692.89864591203 & -19.4133950213929 & -44.3364637449982 & -0.726664355513885 \tabularnewline
106 & 3800 & 3708.6463213943 & -19.2727710098653 & 31.7819223336547 & 0.336663101404587 \tabularnewline
107 & 3520 & 3637.413769994 & -19.463463969526 & -29.3110260384527 & -0.497741010719899 \tabularnewline
108 & 3640 & 3639.26233876107 & -19.4219734593034 & -35.5140670080227 & 0.204550396858977 \tabularnewline
109 & 4200 & 3737.09057592229 & -20.1892439503066 & 259.508598254383 & 1.15393715831996 \tabularnewline
110 & 3860 & 3804.52293809042 & -19.7237085650098 & -89.8370474841929 & 0.824122408984812 \tabularnewline
111 & 4160 & 3892.23107098091 & -18.9842295611303 & 90.5024372272912 & 1.00813254598358 \tabularnewline
112 & 3920 & 3905.53778136352 & -18.7859874433044 & -39.3075412866043 & 0.305372919091212 \tabularnewline
113 & 3860 & 3901.13549244469 & -18.7099194091213 & -65.2539760601188 & 0.136788424968842 \tabularnewline
114 & 3860 & 3868.71151749477 & -18.7740012545841 & 14.3784063698069 & -0.130843126769414 \tabularnewline
115 & 3780 & 3840.27449491331 & -18.8152428787815 & -43.9670292009397 & -0.0923628823149008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299163&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]6600[/C][C]6600[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]6160[/C][C]6422.09662439085[/C][C]-19.576101510668[/C][C]-22.1005972257416[/C][C]-1.41027373297305[/C][/ROW]
[ROW][C]3[/C][C]6320[/C][C]6376.86031929028[/C][C]-21.6522745790453[/C][C]-20.6391749053055[/C][C]-0.209875858246138[/C][/ROW]
[ROW][C]4[/C][C]5820[/C][C]6155.72417230009[/C][C]-34.144801037035[/C][C]-38.8344501052335[/C][C]-1.69500108774459[/C][/ROW]
[ROW][C]5[/C][C]6080[/C][C]6117.97941647253[/C][C]-34.3290859949114[/C][C]-32.4130514781652[/C][C]-0.0314627808578274[/C][/ROW]
[ROW][C]6[/C][C]6240[/C][C]6155.39570264279[/C][C]-31.1855129301025[/C][C]-29.2869509907774[/C][C]0.63948227854735[/C][/ROW]
[ROW][C]7[/C][C]5740[/C][C]5992.8282292232[/C][C]-36.29765440172[/C][C]-40.5209486250223[/C][C]-1.18682254567974[/C][/ROW]
[ROW][C]8[/C][C]6980[/C][C]6348.85584973413[/C][C]-22.3566793181915[/C][C]-10.5164194282919[/C][C]3.57633814468598[/C][/ROW]
[ROW][C]9[/C][C]6540[/C][C]6415.16994045419[/C][C]-19.4202214030118[/C][C]-21.3931210617835[/C][C]0.813329483793387[/C][/ROW]
[ROW][C]10[/C][C]6780[/C][C]6544.70313769382[/C][C]-14.7568846287556[/C][C]-11.7537953885771[/C][C]1.37218546563973[/C][/ROW]
[ROW][C]11[/C][C]6580[/C][C]6554.36769663212[/C][C]-14.0269037439177[/C][C]-15.0409754871529[/C][C]0.225672766221903[/C][/ROW]
[ROW][C]12[/C][C]6020[/C][C]6354.72963689264[/C][C]-19.3600722793217[/C][C]-24.6365583190327[/C][C]-1.71914702105286[/C][/ROW]
[ROW][C]13[/C][C]6440[/C][C]6310.18688177665[/C][C]-16.5026445208868[/C][C]183.36035884902[/C][C]-0.334776763607215[/C][/ROW]
[ROW][C]14[/C][C]6440[/C][C]6362.36951845112[/C][C]-13.6928370079197[/C][C]-12.9525680545915[/C][C]0.52975658049319[/C][/ROW]
[ROW][C]15[/C][C]7040[/C][C]6622.14979037069[/C][C]-4.58919789056313[/C][C]11.8222878665961[/C][C]2.31682353902824[/C][/ROW]
[ROW][C]16[/C][C]6620[/C][C]6623.92697254667[/C][C]-4.41767292246387[/C][C]-14.0095740294773[/C][C]0.0567276013736359[/C][/ROW]
[ROW][C]17[/C][C]6460[/C][C]6562.04001664563[/C][C]-5.7252278053207[/C][C]-8.02335553977498[/C][C]-0.525248287501002[/C][/ROW]
[ROW][C]18[/C][C]6320[/C][C]6470.03400318281[/C][C]-7.45145304010923[/C][C]-6.40879749615051[/C][C]-0.799351915588806[/C][/ROW]
[ROW][C]19[/C][C]6560[/C][C]6503.89640028016[/C][C]-6.69995961575593[/C][C]-13.3496141524181[/C][C]0.38570121416345[/C][/ROW]
[ROW][C]20[/C][C]6080[/C][C]6345.12519653464[/C][C]-9.27951204824148[/C][C]-7.97199816746436[/C][C]-1.42619076850529[/C][/ROW]
[ROW][C]21[/C][C]6040[/C][C]6232.68715366429[/C][C]-10.9414251371326[/C][C]-17.6082507828432[/C][C]-0.970192025732212[/C][/ROW]
[ROW][C]22[/C][C]6260[/C][C]6237.7367518067[/C][C]-10.6936274326738[/C][C]-4.94061211339797[/C][C]0.150666256568846[/C][/ROW]
[ROW][C]23[/C][C]5780[/C][C]6069.00424179377[/C][C]-13.069216797907[/C][C]-19.7186986773352[/C][C]-1.49084731839331[/C][/ROW]
[ROW][C]24[/C][C]5120[/C][C]5723.77849935942[/C][C]-17.8127716673509[/C][C]-36.7603307549009[/C][C]-3.13706283574904[/C][/ROW]
[ROW][C]25[/C][C]6040[/C][C]5743.05424721651[/C][C]-19.6750766035946[/C][C]225.911719205216[/C][C]0.418186426687981[/C][/ROW]
[ROW][C]26[/C][C]5860[/C][C]5787.43543442421[/C][C]-18.0441186697934[/C][C]-22.126387513662[/C][C]0.541151080554254[/C][/ROW]
[ROW][C]27[/C][C]5900[/C][C]5819.85953229149[/C][C]-16.9511837456719[/C][C]0.959900992821771[/C][C]0.447823915591425[/C][/ROW]
[ROW][C]28[/C][C]5160[/C][C]5576.81578898639[/C][C]-20.9351772087109[/C][C]-47.6793899650662[/C][C]-2.07032150145703[/C][/ROW]
[ROW][C]29[/C][C]5800[/C][C]5649.23079822301[/C][C]-19.5400800091304[/C][C]-4.80394348038806[/C][C]0.868737643187523[/C][/ROW]
[ROW][C]30[/C][C]5300[/C][C]5519.27310221955[/C][C]-20.9980571000427[/C][C]-33.2045227787096[/C][C]-1.03655110576414[/C][/ROW]
[ROW][C]31[/C][C]5600[/C][C]5541.66746018639[/C][C]-20.4745479941014[/C][C]-15.2516574994327[/C][C]0.409359988211199[/C][/ROW]
[ROW][C]32[/C][C]5620[/C][C]5562.78856711371[/C][C]-20.0042148848308[/C][C]-13.5901695450568[/C][C]0.393554424928456[/C][/ROW]
[ROW][C]33[/C][C]6300[/C][C]5823.95864594354[/C][C]-16.9694871135918[/C][C]-3.66166016163427[/C][C]2.66507744881573[/C][/ROW]
[ROW][C]34[/C][C]5800[/C][C]5809.978674434[/C][C]-16.9382962445882[/C][C]-15.0865183257839[/C][C]0.0283680768624577[/C][/ROW]
[ROW][C]35[/C][C]5460[/C][C]5678.55627513896[/C][C]-18.1014606229445[/C][C]-22.7547233604653[/C][C]-1.08719004286592[/C][/ROW]
[ROW][C]36[/C][C]5420[/C][C]5587.01692249399[/C][C]-18.7783401043461[/C][C]-41.1582214249968[/C][C]-0.698200137996435[/C][/ROW]
[ROW][C]37[/C][C]5800[/C][C]5573.04796930466[/C][C]-18.9289437486169[/C][C]218.068857878629[/C][C]0.0512702868277384[/C][/ROW]
[ROW][C]38[/C][C]5260[/C][C]5452.64060612266[/C][C]-20.7646003379268[/C][C]-35.2892282884456[/C][C]-0.892854684416485[/C][/ROW]
[ROW][C]39[/C][C]5900[/C][C]5599.83164076669[/C][C]-18.0362176894785[/C][C]30.7804850779176[/C][C]1.52156997878174[/C][/ROW]
[ROW][C]40[/C][C]5840[/C][C]5695.3641453814[/C][C]-16.5266112572762[/C][C]-42.8847155523346[/C][C]1.05287751775878[/C][/ROW]
[ROW][C]41[/C][C]5640[/C][C]5665.26148789293[/C][C]-16.6798751576216[/C][C]-2.49828117072561[/C][C]-0.127396846757566[/C][/ROW]
[ROW][C]42[/C][C]5560[/C][C]5627.77218451533[/C][C]-16.8877568624362[/C][C]-32.5891293486831[/C][C]-0.1965564316359[/C][/ROW]
[ROW][C]43[/C][C]5540[/C][C]5590.22375564728[/C][C]-17.0766926327565[/C][C]-15.1267895814588[/C][C]-0.195875055679977[/C][/ROW]
[ROW][C]44[/C][C]5540[/C][C]5569.77048037769[/C][C]-17.1056942067884[/C][C]-24.0185050643235[/C][C]-0.0320819256364851[/C][/ROW]
[ROW][C]45[/C][C]5480[/C][C]5528.23473573213[/C][C]-17.30644706278[/C][C]-6.54694993362576[/C][C]-0.232427440127672[/C][/ROW]
[ROW][C]46[/C][C]5440[/C][C]5488.88411628678[/C][C]-17.4819703946208[/C][C]-11.2266822527964[/C][C]-0.209905499521781[/C][/ROW]
[ROW][C]47[/C][C]5260[/C][C]5402.63822737403[/C][C]-18.0148294921721[/C][C]-25.079760853685[/C][C]-0.655152922371983[/C][/ROW]
[ROW][C]48[/C][C]5420[/C][C]5410.57497344491[/C][C]-17.8444405006877[/C][C]-35.0487757136459[/C][C]0.247575443119638[/C][/ROW]
[ROW][C]49[/C][C]5600[/C][C]5391.1231157295[/C][C]-17.8089654635592[/C][C]211.786829804885[/C][C]-0.0166473879543221[/C][/ROW]
[ROW][C]50[/C][C]5200[/C][C]5325.68187824927[/C][C]-18.4634392662578[/C][C]-49.9070373440728[/C][C]-0.42895173074374[/C][/ROW]
[ROW][C]51[/C][C]5480[/C][C]5360.71498284385[/C][C]-17.7618789536202[/C][C]32.5298245492678[/C][C]0.49039681989955[/C][/ROW]
[ROW][C]52[/C][C]5300[/C][C]5343.97342814292[/C][C]-17.7508423573283[/C][C]-45.6662385263715[/C][C]0.00952541044618462[/C][/ROW]
[ROW][C]53[/C][C]4660[/C][C]5089.97218837481[/C][C]-19.9225808447569[/C][C]-33.0852597023576[/C][C]-2.22745604363704[/C][/ROW]
[ROW][C]54[/C][C]4940[/C][C]5032.06833051109[/C][C]-20.231614412356[/C][C]-27.8271785240847[/C][C]-0.360021642214261[/C][/ROW]
[ROW][C]55[/C][C]4880[/C][C]4970.82282791855[/C][C]-20.5372867403404[/C][C]-21.1846942286252[/C][C]-0.389943696855162[/C][/ROW]
[ROW][C]56[/C][C]4980[/C][C]4969.24022129302[/C][C]-20.4044717446737[/C][C]-21.4968964492761[/C][C]0.180534121202501[/C][/ROW]
[ROW][C]57[/C][C]5160[/C][C]5026.61190972906[/C][C]-19.8824178209091[/C][C]0.846462127418755[/C][C]0.741582981022497[/C][/ROW]
[ROW][C]58[/C][C]5180[/C][C]5072.58675382505[/C][C]-19.4536115540206[/C][C]-4.91560256175659[/C][C]0.628368136095864[/C][/ROW]
[ROW][C]59[/C][C]4860[/C][C]4996.15449198829[/C][C]-19.8130264824793[/C][C]-38.9022040797964[/C][C]-0.543924893927501[/C][/ROW]
[ROW][C]60[/C][C]5220[/C][C]5073.91461984023[/C][C]-19.3334662879747[/C][C]-20.9101787887106[/C][C]0.932813315790911[/C][/ROW]
[ROW][C]61[/C][C]4900[/C][C]4931.41500766559[/C][C]-17.2987780539674[/C][C]188.569766354989[/C][C]-1.25297785442009[/C][/ROW]
[ROW][C]62[/C][C]4740[/C][C]4867.80629912203[/C][C]-17.802077403661[/C][C]-52.9787951802143[/C][C]-0.423378955802914[/C][/ROW]
[ROW][C]63[/C][C]4920[/C][C]4862.3865026353[/C][C]-17.6651255328572[/C][C]37.4061195031751[/C][C]0.114382751122239[/C][/ROW]
[ROW][C]64[/C][C]4780[/C][C]4831.95205294298[/C][C]-17.7828979076225[/C][C]-30.7220368937895[/C][C]-0.119740465066568[/C][/ROW]
[ROW][C]65[/C][C]4300[/C][C]4641.85653823731[/C][C]-19.1345899776[/C][C]-52.301330753108[/C][C]-1.62952722634997[/C][/ROW]
[ROW][C]66[/C][C]4540[/C][C]4598.53900112265[/C][C]-19.3024390052679[/C][C]-17.6639141601093[/C][C]-0.229747879173813[/C][/ROW]
[ROW][C]67[/C][C]4420[/C][C]4530.09787032879[/C][C]-19.6148381707895[/C][C]-26.7664806581593[/C][C]-0.468050561556106[/C][/ROW]
[ROW][C]68[/C][C]4660[/C][C]4571.43723717729[/C][C]-19.2503630453845[/C][C]-15.0070644783781[/C][C]0.581479029764383[/C][/ROW]
[ROW][C]69[/C][C]4760[/C][C]4627.50902275655[/C][C]-18.8186216730886[/C][C]4.35644888060068[/C][C]0.719208735286987[/C][/ROW]
[ROW][C]70[/C][C]4560[/C][C]4593.31953269536[/C][C]-18.9040983676666[/C][C]-7.15158686638736[/C][C]-0.14685389632797[/C][/ROW]
[ROW][C]71[/C][C]4600[/C][C]4598.99604197191[/C][C]-18.7728040956266[/C][C]-40.8713602297567[/C][C]0.234952994102128[/C][/ROW]
[ROW][C]72[/C][C]4800[/C][C]4661.77242682021[/C][C]-18.4637336705953[/C][C]-1.11226215541936[/C][C]0.780758311503373[/C][/ROW]
[ROW][C]73[/C][C]4980[/C][C]4689.14825741517[/C][C]-19.0502520724306[/C][C]209.791013448338[/C][C]0.460661392673812[/C][/ROW]
[ROW][C]74[/C][C]4300[/C][C]4557.39160835963[/C][C]-20.0463676689727[/C][C]-73.4111757792985[/C][C]-1.04128143327759[/C][/ROW]
[ROW][C]75[/C][C]4800[/C][C]4615.85919265574[/C][C]-19.2930545848724[/C][C]55.4901751891989[/C][C]0.729267155791362[/C][/ROW]
[ROW][C]76[/C][C]3980[/C][C]4385.98514681648[/C][C]-21.0013247352037[/C][C]-55.5618548329572[/C][C]-1.98072578858813[/C][/ROW]
[ROW][C]77[/C][C]4120[/C][C]4292.67468215335[/C][C]-21.5009817074852[/C][C]-51.2119809017458[/C][C]-0.685230816996206[/C][/ROW]
[ROW][C]78[/C][C]4580[/C][C]4383.46409251631[/C][C]-20.8148403670747[/C][C]6.93206274219668[/C][C]1.06847488934194[/C][/ROW]
[ROW][C]79[/C][C]4240[/C][C]4333.50131361773[/C][C]-20.977907715766[/C][C]-44.1397788365569[/C][C]-0.277991712642096[/C][/ROW]
[ROW][C]80[/C][C]4540[/C][C]4399.72576990346[/C][C]-20.5190535698293[/C][C]-7.65624073955346[/C][C]0.832796296969516[/C][/ROW]
[ROW][C]81[/C][C]4200[/C][C]4316.90971780889[/C][C]-20.8333722946925[/C][C]-11.118189989939[/C][C]-0.595433705310289[/C][/ROW]
[ROW][C]82[/C][C]4780[/C][C]4468.29657168807[/C][C]-19.9911152922898[/C][C]19.0440571579801[/C][C]1.6469410993311[/C][/ROW]
[ROW][C]83[/C][C]4820[/C][C]4599.08538427346[/C][C]-19.2915082940531[/C][C]-35.4904545434975[/C][C]1.44256256140637[/C][/ROW]
[ROW][C]84[/C][C]4320[/C][C]4493.95423811419[/C][C]-19.5476699861457[/C][C]-27.5259498198121[/C][C]-0.822709366732225[/C][/ROW]
[ROW][C]85[/C][C]4300[/C][C]4340.53498429598[/C][C]-18.1931872717061[/C][C]194.362723037036[/C][C]-1.33341568427028[/C][/ROW]
[ROW][C]86[/C][C]3700[/C][C]4125.23879976433[/C][C]-19.6397750669379[/C][C]-101.213692271335[/C][C]-1.83502929025181[/C][/ROW]
[ROW][C]87[/C][C]3920[/C][C]4008.51573161596[/C][C]-20.463407294972[/C][C]71.019927992907[/C][C]-0.905512634845027[/C][/ROW]
[ROW][C]88[/C][C]3740[/C][C]3915.38421116367[/C][C]-20.9931833742992[/C][C]-54.4136348980941[/C][C]-0.685059374469188[/C][/ROW]
[ROW][C]89[/C][C]4120[/C][C]3992.97758369439[/C][C]-20.379399919373[/C][C]-38.4811982995201[/C][C]0.935651330370921[/C][/ROW]
[ROW][C]90[/C][C]4160[/C][C]4036.82509063578[/C][C]-20.0260041353893[/C][C]14.8421590124603[/C][C]0.611833919611106[/C][/ROW]
[ROW][C]91[/C][C]4160[/C][C]4086.03972335565[/C][C]-19.6774300813597[/C][C]-43.1425208187424[/C][C]0.6609849723813[/C][/ROW]
[ROW][C]92[/C][C]3960[/C][C]4031.71136477718[/C][C]-19.8414603633636[/C][C]-13.0162751809685[/C][C]-0.331191386702838[/C][/ROW]
[ROW][C]93[/C][C]3960[/C][C]4002.55896755831[/C][C]-19.8837183184275[/C][C]-26.7722042872754[/C][C]-0.0890596277384575[/C][/ROW]
[ROW][C]94[/C][C]4160[/C][C]4042.36776345014[/C][C]-19.6216584383542[/C][C]16.3591251107657[/C][C]0.571238098083537[/C][/ROW]
[ROW][C]95[/C][C]3920[/C][C]3997.86384824328[/C][C]-19.7237035851771[/C][C]-35.6176942050649[/C][C]-0.238224149420161[/C][/ROW]
[ROW][C]96[/C][C]3460[/C][C]3801.85719733385[/C][C]-20.14513208764[/C][C]-41.6022364101657[/C][C]-1.69089856152579[/C][/ROW]
[ROW][C]97[/C][C]4040[/C][C]3787.84775069559[/C][C]-20.194861276014[/C][C]241.453491970847[/C][C]0.0607033062278053[/C][/ROW]
[ROW][C]98[/C][C]3720[/C][C]3782.81266489989[/C][C]-20.1008854967518[/C][C]-87.8606174860853[/C][C]0.141953992867666[/C][/ROW]
[ROW][C]99[/C][C]4060[/C][C]3840.84432653018[/C][C]-19.5067890416476[/C][C]90.4741551758766[/C][C]0.73118183868445[/C][/ROW]
[ROW][C]100[/C][C]4140[/C][C]3957.20733770528[/C][C]-18.6028509228235[/C][C]-43.427331363875[/C][C]1.28310934356248[/C][/ROW]
[ROW][C]101[/C][C]3700[/C][C]3873.47750059209[/C][C]-18.9742576466549[/C][C]-64.2123990380428[/C][C]-0.618801993481565[/C][/ROW]
[ROW][C]102[/C][C]3900[/C][C]3865.90589549303[/C][C]-18.916806358524[/C][C]14.8797403602096[/C][C]0.10871700078978[/C][/ROW]
[ROW][C]103[/C][C]3720[/C][C]3816.51743271312[/C][C]-19.0571590287618[/C][C]-45.0424139520347[/C][C]-0.291096250126645[/C][/ROW]
[ROW][C]104[/C][C]3760[/C][C]3787.92447988356[/C][C]-19.0984391748244[/C][C]-11.7924742994166[/C][C]-0.0911994676748118[/C][/ROW]
[ROW][C]105[/C][C]3520[/C][C]3692.89864591203[/C][C]-19.4133950213929[/C][C]-44.3364637449982[/C][C]-0.726664355513885[/C][/ROW]
[ROW][C]106[/C][C]3800[/C][C]3708.6463213943[/C][C]-19.2727710098653[/C][C]31.7819223336547[/C][C]0.336663101404587[/C][/ROW]
[ROW][C]107[/C][C]3520[/C][C]3637.413769994[/C][C]-19.463463969526[/C][C]-29.3110260384527[/C][C]-0.497741010719899[/C][/ROW]
[ROW][C]108[/C][C]3640[/C][C]3639.26233876107[/C][C]-19.4219734593034[/C][C]-35.5140670080227[/C][C]0.204550396858977[/C][/ROW]
[ROW][C]109[/C][C]4200[/C][C]3737.09057592229[/C][C]-20.1892439503066[/C][C]259.508598254383[/C][C]1.15393715831996[/C][/ROW]
[ROW][C]110[/C][C]3860[/C][C]3804.52293809042[/C][C]-19.7237085650098[/C][C]-89.8370474841929[/C][C]0.824122408984812[/C][/ROW]
[ROW][C]111[/C][C]4160[/C][C]3892.23107098091[/C][C]-18.9842295611303[/C][C]90.5024372272912[/C][C]1.00813254598358[/C][/ROW]
[ROW][C]112[/C][C]3920[/C][C]3905.53778136352[/C][C]-18.7859874433044[/C][C]-39.3075412866043[/C][C]0.305372919091212[/C][/ROW]
[ROW][C]113[/C][C]3860[/C][C]3901.13549244469[/C][C]-18.7099194091213[/C][C]-65.2539760601188[/C][C]0.136788424968842[/C][/ROW]
[ROW][C]114[/C][C]3860[/C][C]3868.71151749477[/C][C]-18.7740012545841[/C][C]14.3784063698069[/C][C]-0.130843126769414[/C][/ROW]
[ROW][C]115[/C][C]3780[/C][C]3840.27449491331[/C][C]-18.8152428787815[/C][C]-43.9670292009397[/C][C]-0.0923628823149008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299163&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299163&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
166006600000
261606422.09662439085-19.576101510668-22.1005972257416-1.41027373297305
363206376.86031929028-21.6522745790453-20.6391749053055-0.209875858246138
458206155.72417230009-34.144801037035-38.8344501052335-1.69500108774459
560806117.97941647253-34.3290859949114-32.4130514781652-0.0314627808578274
662406155.39570264279-31.1855129301025-29.28695099077740.63948227854735
757405992.8282292232-36.29765440172-40.5209486250223-1.18682254567974
869806348.85584973413-22.3566793181915-10.51641942829193.57633814468598
965406415.16994045419-19.4202214030118-21.39312106178350.813329483793387
1067806544.70313769382-14.7568846287556-11.75379538857711.37218546563973
1165806554.36769663212-14.0269037439177-15.04097548715290.225672766221903
1260206354.72963689264-19.3600722793217-24.6365583190327-1.71914702105286
1364406310.18688177665-16.5026445208868183.36035884902-0.334776763607215
1464406362.36951845112-13.6928370079197-12.95256805459150.52975658049319
1570406622.14979037069-4.5891978905631311.82228786659612.31682353902824
1666206623.92697254667-4.41767292246387-14.00957402947730.0567276013736359
1764606562.04001664563-5.7252278053207-8.02335553977498-0.525248287501002
1863206470.03400318281-7.45145304010923-6.40879749615051-0.799351915588806
1965606503.89640028016-6.69995961575593-13.34961415241810.38570121416345
2060806345.12519653464-9.27951204824148-7.97199816746436-1.42619076850529
2160406232.68715366429-10.9414251371326-17.6082507828432-0.970192025732212
2262606237.7367518067-10.6936274326738-4.940612113397970.150666256568846
2357806069.00424179377-13.069216797907-19.7186986773352-1.49084731839331
2451205723.77849935942-17.8127716673509-36.7603307549009-3.13706283574904
2560405743.05424721651-19.6750766035946225.9117192052160.418186426687981
2658605787.43543442421-18.0441186697934-22.1263875136620.541151080554254
2759005819.85953229149-16.95118374567190.9599009928217710.447823915591425
2851605576.81578898639-20.9351772087109-47.6793899650662-2.07032150145703
2958005649.23079822301-19.5400800091304-4.803943480388060.868737643187523
3053005519.27310221955-20.9980571000427-33.2045227787096-1.03655110576414
3156005541.66746018639-20.4745479941014-15.25165749943270.409359988211199
3256205562.78856711371-20.0042148848308-13.59016954505680.393554424928456
3363005823.95864594354-16.9694871135918-3.661660161634272.66507744881573
3458005809.978674434-16.9382962445882-15.08651832578390.0283680768624577
3554605678.55627513896-18.1014606229445-22.7547233604653-1.08719004286592
3654205587.01692249399-18.7783401043461-41.1582214249968-0.698200137996435
3758005573.04796930466-18.9289437486169218.0688578786290.0512702868277384
3852605452.64060612266-20.7646003379268-35.2892282884456-0.892854684416485
3959005599.83164076669-18.036217689478530.78048507791761.52156997878174
4058405695.3641453814-16.5266112572762-42.88471555233461.05287751775878
4156405665.26148789293-16.6798751576216-2.49828117072561-0.127396846757566
4255605627.77218451533-16.8877568624362-32.5891293486831-0.1965564316359
4355405590.22375564728-17.0766926327565-15.1267895814588-0.195875055679977
4455405569.77048037769-17.1056942067884-24.0185050643235-0.0320819256364851
4554805528.23473573213-17.30644706278-6.54694993362576-0.232427440127672
4654405488.88411628678-17.4819703946208-11.2266822527964-0.209905499521781
4752605402.63822737403-18.0148294921721-25.079760853685-0.655152922371983
4854205410.57497344491-17.8444405006877-35.04877571364590.247575443119638
4956005391.1231157295-17.8089654635592211.786829804885-0.0166473879543221
5052005325.68187824927-18.4634392662578-49.9070373440728-0.42895173074374
5154805360.71498284385-17.761878953620232.52982454926780.49039681989955
5253005343.97342814292-17.7508423573283-45.66623852637150.00952541044618462
5346605089.97218837481-19.9225808447569-33.0852597023576-2.22745604363704
5449405032.06833051109-20.231614412356-27.8271785240847-0.360021642214261
5548804970.82282791855-20.5372867403404-21.1846942286252-0.389943696855162
5649804969.24022129302-20.4044717446737-21.49689644927610.180534121202501
5751605026.61190972906-19.88241782090910.8464621274187550.741582981022497
5851805072.58675382505-19.4536115540206-4.915602561756590.628368136095864
5948604996.15449198829-19.8130264824793-38.9022040797964-0.543924893927501
6052205073.91461984023-19.3334662879747-20.91017878871060.932813315790911
6149004931.41500766559-17.2987780539674188.569766354989-1.25297785442009
6247404867.80629912203-17.802077403661-52.9787951802143-0.423378955802914
6349204862.3865026353-17.665125532857237.40611950317510.114382751122239
6447804831.95205294298-17.7828979076225-30.7220368937895-0.119740465066568
6543004641.85653823731-19.1345899776-52.301330753108-1.62952722634997
6645404598.53900112265-19.3024390052679-17.6639141601093-0.229747879173813
6744204530.09787032879-19.6148381707895-26.7664806581593-0.468050561556106
6846604571.43723717729-19.2503630453845-15.00706447837810.581479029764383
6947604627.50902275655-18.81862167308864.356448880600680.719208735286987
7045604593.31953269536-18.9040983676666-7.15158686638736-0.14685389632797
7146004598.99604197191-18.7728040956266-40.87136022975670.234952994102128
7248004661.77242682021-18.4637336705953-1.112262155419360.780758311503373
7349804689.14825741517-19.0502520724306209.7910134483380.460661392673812
7443004557.39160835963-20.0463676689727-73.4111757792985-1.04128143327759
7548004615.85919265574-19.293054584872455.49017518919890.729267155791362
7639804385.98514681648-21.0013247352037-55.5618548329572-1.98072578858813
7741204292.67468215335-21.5009817074852-51.2119809017458-0.685230816996206
7845804383.46409251631-20.81484036707476.932062742196681.06847488934194
7942404333.50131361773-20.977907715766-44.1397788365569-0.277991712642096
8045404399.72576990346-20.5190535698293-7.656240739553460.832796296969516
8142004316.90971780889-20.8333722946925-11.118189989939-0.595433705310289
8247804468.29657168807-19.991115292289819.04405715798011.6469410993311
8348204599.08538427346-19.2915082940531-35.49045454349751.44256256140637
8443204493.95423811419-19.5476699861457-27.5259498198121-0.822709366732225
8543004340.53498429598-18.1931872717061194.362723037036-1.33341568427028
8637004125.23879976433-19.6397750669379-101.213692271335-1.83502929025181
8739204008.51573161596-20.46340729497271.019927992907-0.905512634845027
8837403915.38421116367-20.9931833742992-54.4136348980941-0.685059374469188
8941203992.97758369439-20.379399919373-38.48119829952010.935651330370921
9041604036.82509063578-20.026004135389314.84215901246030.611833919611106
9141604086.03972335565-19.6774300813597-43.14252081874240.6609849723813
9239604031.71136477718-19.8414603633636-13.0162751809685-0.331191386702838
9339604002.55896755831-19.8837183184275-26.7722042872754-0.0890596277384575
9441604042.36776345014-19.621658438354216.35912511076570.571238098083537
9539203997.86384824328-19.7237035851771-35.6176942050649-0.238224149420161
9634603801.85719733385-20.14513208764-41.6022364101657-1.69089856152579
9740403787.84775069559-20.194861276014241.4534919708470.0607033062278053
9837203782.81266489989-20.1008854967518-87.86061748608530.141953992867666
9940603840.84432653018-19.506789041647690.47415517587660.73118183868445
10041403957.20733770528-18.6028509228235-43.4273313638751.28310934356248
10137003873.47750059209-18.9742576466549-64.2123990380428-0.618801993481565
10239003865.90589549303-18.91680635852414.87974036020960.10871700078978
10337203816.51743271312-19.0571590287618-45.0424139520347-0.291096250126645
10437603787.92447988356-19.0984391748244-11.7924742994166-0.0911994676748118
10535203692.89864591203-19.4133950213929-44.3364637449982-0.726664355513885
10638003708.6463213943-19.272771009865331.78192233365470.336663101404587
10735203637.413769994-19.463463969526-29.3110260384527-0.497741010719899
10836403639.26233876107-19.4219734593034-35.51406700802270.204550396858977
10942003737.09057592229-20.1892439503066259.5085982543831.15393715831996
11038603804.52293809042-19.7237085650098-89.83704748419290.824122408984812
11141603892.23107098091-18.984229561130390.50243722729121.00813254598358
11239203905.53778136352-18.7859874433044-39.30754128660430.305372919091212
11338603901.13549244469-18.7099194091213-65.25397606011880.136788424968842
11438603868.71151749477-18.774001254584114.3784063698069-0.130843126769414
11537803840.27449491331-18.8152428787815-43.9670292009397-0.0923628823149008







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
13884.318486970393838.303260075846.0152268945981
23737.96287275263817.76665378547-79.8037810328739
34020.011071366333797.23004749514222.781023871185
43753.896143718433776.69344120481-22.7972974863825
53611.272729816793756.15683491449-144.884105097702
63993.943674083563735.62022862416258.323445459403
73549.566072663733715.08362233383-165.517549670106
83819.214437827593694.54701604351124.667421784082
93627.733312856973674.01040975318-46.2770968962117
103529.451125883193653.47380346285-124.022677579658
113626.535834652733632.93719717252-6.40136251978974
123550.317343155653612.4005908822-62.0832477265435

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 3884.31848697039 & 3838.3032600758 & 46.0152268945981 \tabularnewline
2 & 3737.9628727526 & 3817.76665378547 & -79.8037810328739 \tabularnewline
3 & 4020.01107136633 & 3797.23004749514 & 222.781023871185 \tabularnewline
4 & 3753.89614371843 & 3776.69344120481 & -22.7972974863825 \tabularnewline
5 & 3611.27272981679 & 3756.15683491449 & -144.884105097702 \tabularnewline
6 & 3993.94367408356 & 3735.62022862416 & 258.323445459403 \tabularnewline
7 & 3549.56607266373 & 3715.08362233383 & -165.517549670106 \tabularnewline
8 & 3819.21443782759 & 3694.54701604351 & 124.667421784082 \tabularnewline
9 & 3627.73331285697 & 3674.01040975318 & -46.2770968962117 \tabularnewline
10 & 3529.45112588319 & 3653.47380346285 & -124.022677579658 \tabularnewline
11 & 3626.53583465273 & 3632.93719717252 & -6.40136251978974 \tabularnewline
12 & 3550.31734315565 & 3612.4005908822 & -62.0832477265435 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299163&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]3884.31848697039[/C][C]3838.3032600758[/C][C]46.0152268945981[/C][/ROW]
[ROW][C]2[/C][C]3737.9628727526[/C][C]3817.76665378547[/C][C]-79.8037810328739[/C][/ROW]
[ROW][C]3[/C][C]4020.01107136633[/C][C]3797.23004749514[/C][C]222.781023871185[/C][/ROW]
[ROW][C]4[/C][C]3753.89614371843[/C][C]3776.69344120481[/C][C]-22.7972974863825[/C][/ROW]
[ROW][C]5[/C][C]3611.27272981679[/C][C]3756.15683491449[/C][C]-144.884105097702[/C][/ROW]
[ROW][C]6[/C][C]3993.94367408356[/C][C]3735.62022862416[/C][C]258.323445459403[/C][/ROW]
[ROW][C]7[/C][C]3549.56607266373[/C][C]3715.08362233383[/C][C]-165.517549670106[/C][/ROW]
[ROW][C]8[/C][C]3819.21443782759[/C][C]3694.54701604351[/C][C]124.667421784082[/C][/ROW]
[ROW][C]9[/C][C]3627.73331285697[/C][C]3674.01040975318[/C][C]-46.2770968962117[/C][/ROW]
[ROW][C]10[/C][C]3529.45112588319[/C][C]3653.47380346285[/C][C]-124.022677579658[/C][/ROW]
[ROW][C]11[/C][C]3626.53583465273[/C][C]3632.93719717252[/C][C]-6.40136251978974[/C][/ROW]
[ROW][C]12[/C][C]3550.31734315565[/C][C]3612.4005908822[/C][C]-62.0832477265435[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299163&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299163&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
13884.318486970393838.303260075846.0152268945981
23737.96287275263817.76665378547-79.8037810328739
34020.011071366333797.23004749514222.781023871185
43753.896143718433776.69344120481-22.7972974863825
53611.272729816793756.15683491449-144.884105097702
63993.943674083563735.62022862416258.323445459403
73549.566072663733715.08362233383-165.517549670106
83819.214437827593694.54701604351124.667421784082
93627.733312856973674.01040975318-46.2770968962117
103529.451125883193653.47380346285-124.022677579658
113626.535834652733632.93719717252-6.40136251978974
123550.317343155653612.4005908822-62.0832477265435



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
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')