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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 computationWed, 07 Dec 2016 19:03:43 +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/07/t1481134268nsyt7q51dl364l8.htm/, Retrieved Tue, 07 May 2024 23:03:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298272, Retrieved Tue, 07 May 2024 23:03:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact47
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural Time S...] [2016-12-07 18:03:43] [153c3207812fd13fe5ceee3276565119] [Current]
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Dataseries X:
3780
3795
3840
3900
3940
3990
4050
4090
4145
4190
4175
4230
4220
4245
4295
4290
4325
4335
4360
4360
4320
4310
4345
4315
4315
4335
4365
4410
4435
4440
4390
4445
4470
4430
4450
4480
4565
4515
4490
4535
4545
4555
4575
4585
4600
4690
4720
4780
4775
4830
4865
4945
5005
5065
5105
5080
5045
5115
5095
5075
5080
5115
5115
5115
5065
5045
5080
5115
5080
5100
5085
5120
5195
5135
5200
5150
5105
5105
5030
5060
5075
5030
5090
5070
5160
5110
5145
5075
5125
5055
5050
5040
5020
5025
4960
4965
4875
4805
4735
4775
4815
4870
4860
4875
4900
4855
4880
4850
4880
4900
4910
4935
4965
4945
4965
4950




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298272&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298272&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298272&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 time4 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
137803780000
237953793.379108211590.9854663303271960.7569840719033270.262429485142133
338403833.05808853754.432247957045271.155378582226451.17479318204581
439003890.9329113227210.82285242204481.325480567022251.58880779979685
539403934.0894160195315.48828973955311.38690789086940.942112139841346
639903983.8842068133621.04499731740811.437223457333730.985188007526608
740504043.3677875080627.73451137288011.482789121933781.09275551711176
840904086.4686266070130.53176428401511.497529196144470.433863189578987
941454140.410596788634.91567437078181.515619689546270.657975830487531
1041904186.9579156708137.13313077374881.522833193545870.325945394856835
1141754179.3263486113528.50234881580511.50061199963996-1.25195632168522
1242304226.1168441197532.05359718855961.507866233436090.51082142367638
1342204244.920003424829.6202195036449-23.2745998822314-0.434444798578576
1442454246.1957437438624.19717336866551.42704969934178-0.664269111761149
1542954290.8700265559528.20049064869461.481390464570190.571211795177397
1642904292.0110434686322.8918851218811.48993566331914-0.753958166747014
1743254322.5286520768224.38898556202791.4853598886310.212372593547551
1843354335.0436090398222.05706260845481.49163215499609-0.330691169952273
1943604358.3476634245122.30201282999071.491098286407880.0347313673474083
2043604361.038156591518.44904470448071.49780890510256-0.54626251169472
2143204325.472485193977.835832522063461.51254400679887-1.50462746726812
2243104311.325557524313.516128501773991.5173227046311-0.612380046521561
2343454340.206664843228.500767103940671.512929248965010.706628480204732
2443154317.516729734972.370987922778121.51723381925035-0.868952846281989
2543154328.47468926984.02802119283445-14.55892708557660.260777901459322
2643354333.549514088364.229718132999541.340152936316010.0262345353425376
2743654360.663781681838.719791744866261.377534561469370.637925434229906
2844104404.1387002693215.55250885437761.367359165581880.968066858221605
2944354432.0418112062117.98050296195191.361653463496020.34393492368038
3044404439.9380123390215.99829877776231.36569671368794-0.280847452594866
3143904396.322804321734.281372369488451.38502207413286-1.66040217994062
3244454438.6988595761711.76854211771451.37515673316271.0611299525871
3344704466.5485739643714.92911421675351.371837055468220.447970487757857
3444304434.673436038435.730261993979321.37953589470868-1.3038817223523
3544504447.680327065167.160412460191591.378582219309150.20272136798151
3644804475.8999329270411.29943309549031.376383165745110.586710409004852
3745654559.1528131233925.2779237285676-3.311653382938032.12694809323031
3845154522.3552877534713.2590570006511-0.432740102072313-1.60170205620476
3944904495.648814839235.41405689933943-0.481115767309923-1.11394241296439
4045354531.5459976154811.4066892522704-0.4878852809415980.8491409764971
4145454545.1983307928311.8481442043563-0.4886650098945330.0625443971132483
4245554555.6666569914711.5769232217967-0.488249524952866-0.0384323620695134
4345754574.5457821265713.0121789370886-0.4900271046153870.203405309276456
4445854585.7265119782212.6522158703622-0.48967096316952-0.0510187849913124
4546004600.2481907282613.0196466995393-0.4899607444848370.05208021964504
4646904681.6539487806126.4604951024626-0.4984073090872241.90519668278576
4747204719.0811102642728.6159336240103-0.4994865408060280.305533533006332
4847804776.7447793500634.3251496168276-0.5017641222232220.809293648773226
4947754777.8168874311927.84570580462381.43311523946109-0.969212257070168
5048304827.4201594685932.0712661670240.07470748898398920.570749031649876
5148654864.2989824905133.01521829071450.07933691045896920.133989748371902
5249454939.4757566370741.30342895972820.07187081911184611.17451627275416
5350055002.1684157975145.50807284484470.06595194097631590.595771339643047
5450655062.961267617648.51247531944970.06228405865125180.42576086820419
5551055105.6851591705847.37471573709050.0634070236905674-0.161252087683521
5650805088.3014466316734.64658528198630.073442560448881-1.8040588258976
5750455053.8539997308121.06640979782220.0819776673643413-1.92491443738406
5851155110.3404606122628.02808956706140.07849128791929290.986808278317122
5950955099.8946339521620.46615298659370.0815085863139401-1.07191372679374
6050755080.1206569106812.55702603916820.0840229697749707-1.12114159280111
6150805083.092663402110.6860637024723-1.86464370304303-0.276960769007268
6251155112.4852800391314.32648521936160.3160222350129590.495975543644424
6351155116.0803486455212.21901711710970.307430853537928-0.29907788270523
6451155116.24919351939.850219086070520.309203961486001-0.335699262921572
6550655071.71115527973-0.8411061277844920.321709776902216-1.51500519234404
6650455047.67335068575-5.400670934766860.326335138526031-0.6461800417627
6750805075.395465457181.109716169990620.3209958487121030.922733291913088
6851155110.311246694787.754278591985930.3166427282360270.941806570555111
6950805084.075879166941.073677835082730.320131525575902-0.946950861367222
7051005098.016716894393.602693883941210.3190791572325910.358487534097383
7150855086.619970661580.6545721518137440.320056586975421-0.417902127793455
7251205115.969915902386.294640226315640.3185667395628820.799498710464049
7351955185.2739028715618.60822914114341.640414992296071.81001505766694
7451355142.837286988936.71130285403384-0.558199989328364-1.63062629653609
7552005194.6895150178815.5773518931434-0.5273046762808211.25800843937055
7651505157.362697529375.17771895385977-0.520646279753818-1.47386430730309
7751055112.04101490165-4.7490330830443-0.510714206119701-1.40673613479301
7851055105.71445157375-5.05911302636605-0.5104451484204-0.04394604853903
7950305038.535625053-17.268972441247-0.501880016593309-1.73057479587447
8050605056.01201652698-10.4397528934551-0.5057069440883510.967994710151578
8150755072.07967070803-5.22973772156063-0.5080341932691510.738507808308285
8250305034.66814476609-11.5550493014733-0.505782853545043-0.896617165454834
8350905082.790371256680.174518317475574-0.509109177811381.66269602065737
8450705071.93522943018-1.99337020437972-0.508619357792954-0.307306280848178
8551605140.422515060411.791763726627210.52267499655752.01607690616218
8651105115.585479512314.64552805588819-1.17109574361496-0.98383152756993
8751455143.188367931939.15497463726586-1.157372228330640.639770900238251
8850755084.87566339847-4.10732692671807-1.14995405779432-1.87962492348171
8951255120.95939887873.7930234384661-1.156859824403341.11961556012107
9050555064.00402312653-8.1476795874373-1.14780807808093-1.69234153952799
9150505051.68657991135-8.96726382839602-1.14730579832313-0.116166533976011
9250405041.32721784239-9.24088262176082-1.14717184533902-0.0387840134608262
9350205022.39932476608-11.1448681789998-1.14642883651215-0.269887565422421
9450255024.44160453444-8.55292922325365-1.147234789561250.36741076511246
9549604967.41462150455-18.0805471749955-1.14487435252529-1.35056797231933
9649654964.22004329398-15.1546862649771-1.14545188783240.414752455785124
9748754876.22002118815-29.41119508011718.14661047258915-2.0770537094564
9848054810.35900782448-36.528466044436-0.930129558478966-0.983180333324698
9947354740.28620820625-43.1179702135662-0.947939126292615-0.934788806457037
10047754766.93195193397-29.4044530110623-0.954749087596211.9436187662532
10148154806.98317987685-15.7516609080635-0.9653443070452881.93489461891263
10248704861.8427671365-1.87233952933449-0.9746852785414011.96714162144877
10348604860.85976121499-1.69753704590804-0.9747803870630620.0247765606523839
10448754874.050467245031.22877683905195-0.9760522668450720.414793122192352
10549004898.034463853015.70134096471374-0.9776018143660320.633983892246694
10648554861.44522743044-2.61091990290219-0.975307136631054-1.17827811116185
10748804878.440259834631.24266091074782-0.976154734475830.546257684577432
10848504854.26318168788-3.75364492506729-0.975279164243198-0.708247293759726
10948804866.36982575818-0.64813838490498411.58946205136820.451095354621109
11049004897.072854824445.47764846487449-0.9069857222346340.848496912519707
11149104909.946876007616.93069028464172-0.9034594154119490.206113567959478
11249354933.7258599364810.2425512851783-0.9049381397066130.469399104751418
11349654963.3952299231914.061227768955-0.9076026945618570.541201879237145
11449454949.517584890738.56958026696667-0.904279555544845-0.778354524813572
11549654965.009636861319.9302247555014-0.9049451922739990.192860313736235
11649504953.656095117675.74684707341982-0.903310363941919-0.592980971925961

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3780 & 3780 & 0 & 0 & 0 \tabularnewline
2 & 3795 & 3793.37910821159 & 0.985466330327196 & 0.756984071903327 & 0.262429485142133 \tabularnewline
3 & 3840 & 3833.0580885375 & 4.43224795704527 & 1.15537858222645 & 1.17479318204581 \tabularnewline
4 & 3900 & 3890.93291132272 & 10.8228524220448 & 1.32548056702225 & 1.58880779979685 \tabularnewline
5 & 3940 & 3934.08941601953 & 15.4882897395531 & 1.3869078908694 & 0.942112139841346 \tabularnewline
6 & 3990 & 3983.88420681336 & 21.0449973174081 & 1.43722345733373 & 0.985188007526608 \tabularnewline
7 & 4050 & 4043.36778750806 & 27.7345113728801 & 1.48278912193378 & 1.09275551711176 \tabularnewline
8 & 4090 & 4086.46862660701 & 30.5317642840151 & 1.49752919614447 & 0.433863189578987 \tabularnewline
9 & 4145 & 4140.4105967886 & 34.9156743707818 & 1.51561968954627 & 0.657975830487531 \tabularnewline
10 & 4190 & 4186.95791567081 & 37.1331307737488 & 1.52283319354587 & 0.325945394856835 \tabularnewline
11 & 4175 & 4179.32634861135 & 28.5023488158051 & 1.50061199963996 & -1.25195632168522 \tabularnewline
12 & 4230 & 4226.11684411975 & 32.0535971885596 & 1.50786623343609 & 0.51082142367638 \tabularnewline
13 & 4220 & 4244.9200034248 & 29.6202195036449 & -23.2745998822314 & -0.434444798578576 \tabularnewline
14 & 4245 & 4246.19574374386 & 24.1971733686655 & 1.42704969934178 & -0.664269111761149 \tabularnewline
15 & 4295 & 4290.87002655595 & 28.2004906486946 & 1.48139046457019 & 0.571211795177397 \tabularnewline
16 & 4290 & 4292.01104346863 & 22.891885121881 & 1.48993566331914 & -0.753958166747014 \tabularnewline
17 & 4325 & 4322.52865207682 & 24.3889855620279 & 1.485359888631 & 0.212372593547551 \tabularnewline
18 & 4335 & 4335.04360903982 & 22.0570626084548 & 1.49163215499609 & -0.330691169952273 \tabularnewline
19 & 4360 & 4358.34766342451 & 22.3020128299907 & 1.49109828640788 & 0.0347313673474083 \tabularnewline
20 & 4360 & 4361.0381565915 & 18.4490447044807 & 1.49780890510256 & -0.54626251169472 \tabularnewline
21 & 4320 & 4325.47248519397 & 7.83583252206346 & 1.51254400679887 & -1.50462746726812 \tabularnewline
22 & 4310 & 4311.32555752431 & 3.51612850177399 & 1.5173227046311 & -0.612380046521561 \tabularnewline
23 & 4345 & 4340.20666484322 & 8.50076710394067 & 1.51292924896501 & 0.706628480204732 \tabularnewline
24 & 4315 & 4317.51672973497 & 2.37098792277812 & 1.51723381925035 & -0.868952846281989 \tabularnewline
25 & 4315 & 4328.4746892698 & 4.02802119283445 & -14.5589270855766 & 0.260777901459322 \tabularnewline
26 & 4335 & 4333.54951408836 & 4.22971813299954 & 1.34015293631601 & 0.0262345353425376 \tabularnewline
27 & 4365 & 4360.66378168183 & 8.71979174486626 & 1.37753456146937 & 0.637925434229906 \tabularnewline
28 & 4410 & 4404.13870026932 & 15.5525088543776 & 1.36735916558188 & 0.968066858221605 \tabularnewline
29 & 4435 & 4432.04181120621 & 17.9805029619519 & 1.36165346349602 & 0.34393492368038 \tabularnewline
30 & 4440 & 4439.93801233902 & 15.9982987777623 & 1.36569671368794 & -0.280847452594866 \tabularnewline
31 & 4390 & 4396.32280432173 & 4.28137236948845 & 1.38502207413286 & -1.66040217994062 \tabularnewline
32 & 4445 & 4438.69885957617 & 11.7685421177145 & 1.3751567331627 & 1.0611299525871 \tabularnewline
33 & 4470 & 4466.54857396437 & 14.9291142167535 & 1.37183705546822 & 0.447970487757857 \tabularnewline
34 & 4430 & 4434.67343603843 & 5.73026199397932 & 1.37953589470868 & -1.3038817223523 \tabularnewline
35 & 4450 & 4447.68032706516 & 7.16041246019159 & 1.37858221930915 & 0.20272136798151 \tabularnewline
36 & 4480 & 4475.89993292704 & 11.2994330954903 & 1.37638316574511 & 0.586710409004852 \tabularnewline
37 & 4565 & 4559.15281312339 & 25.2779237285676 & -3.31165338293803 & 2.12694809323031 \tabularnewline
38 & 4515 & 4522.35528775347 & 13.2590570006511 & -0.432740102072313 & -1.60170205620476 \tabularnewline
39 & 4490 & 4495.64881483923 & 5.41405689933943 & -0.481115767309923 & -1.11394241296439 \tabularnewline
40 & 4535 & 4531.54599761548 & 11.4066892522704 & -0.487885280941598 & 0.8491409764971 \tabularnewline
41 & 4545 & 4545.19833079283 & 11.8481442043563 & -0.488665009894533 & 0.0625443971132483 \tabularnewline
42 & 4555 & 4555.66665699147 & 11.5769232217967 & -0.488249524952866 & -0.0384323620695134 \tabularnewline
43 & 4575 & 4574.54578212657 & 13.0121789370886 & -0.490027104615387 & 0.203405309276456 \tabularnewline
44 & 4585 & 4585.72651197822 & 12.6522158703622 & -0.48967096316952 & -0.0510187849913124 \tabularnewline
45 & 4600 & 4600.24819072826 & 13.0196466995393 & -0.489960744484837 & 0.05208021964504 \tabularnewline
46 & 4690 & 4681.65394878061 & 26.4604951024626 & -0.498407309087224 & 1.90519668278576 \tabularnewline
47 & 4720 & 4719.08111026427 & 28.6159336240103 & -0.499486540806028 & 0.305533533006332 \tabularnewline
48 & 4780 & 4776.74477935006 & 34.3251496168276 & -0.501764122223222 & 0.809293648773226 \tabularnewline
49 & 4775 & 4777.81688743119 & 27.8457058046238 & 1.43311523946109 & -0.969212257070168 \tabularnewline
50 & 4830 & 4827.42015946859 & 32.071266167024 & 0.0747074889839892 & 0.570749031649876 \tabularnewline
51 & 4865 & 4864.29898249051 & 33.0152182907145 & 0.0793369104589692 & 0.133989748371902 \tabularnewline
52 & 4945 & 4939.47575663707 & 41.3034289597282 & 0.0718708191118461 & 1.17451627275416 \tabularnewline
53 & 5005 & 5002.16841579751 & 45.5080728448447 & 0.0659519409763159 & 0.595771339643047 \tabularnewline
54 & 5065 & 5062.9612676176 & 48.5124753194497 & 0.0622840586512518 & 0.42576086820419 \tabularnewline
55 & 5105 & 5105.68515917058 & 47.3747157370905 & 0.0634070236905674 & -0.161252087683521 \tabularnewline
56 & 5080 & 5088.30144663167 & 34.6465852819863 & 0.073442560448881 & -1.8040588258976 \tabularnewline
57 & 5045 & 5053.85399973081 & 21.0664097978222 & 0.0819776673643413 & -1.92491443738406 \tabularnewline
58 & 5115 & 5110.34046061226 & 28.0280895670614 & 0.0784912879192929 & 0.986808278317122 \tabularnewline
59 & 5095 & 5099.89463395216 & 20.4661529865937 & 0.0815085863139401 & -1.07191372679374 \tabularnewline
60 & 5075 & 5080.12065691068 & 12.5570260391682 & 0.0840229697749707 & -1.12114159280111 \tabularnewline
61 & 5080 & 5083.0926634021 & 10.6860637024723 & -1.86464370304303 & -0.276960769007268 \tabularnewline
62 & 5115 & 5112.48528003913 & 14.3264852193616 & 0.316022235012959 & 0.495975543644424 \tabularnewline
63 & 5115 & 5116.08034864552 & 12.2190171171097 & 0.307430853537928 & -0.29907788270523 \tabularnewline
64 & 5115 & 5116.2491935193 & 9.85021908607052 & 0.309203961486001 & -0.335699262921572 \tabularnewline
65 & 5065 & 5071.71115527973 & -0.841106127784492 & 0.321709776902216 & -1.51500519234404 \tabularnewline
66 & 5045 & 5047.67335068575 & -5.40067093476686 & 0.326335138526031 & -0.6461800417627 \tabularnewline
67 & 5080 & 5075.39546545718 & 1.10971616999062 & 0.320995848712103 & 0.922733291913088 \tabularnewline
68 & 5115 & 5110.31124669478 & 7.75427859198593 & 0.316642728236027 & 0.941806570555111 \tabularnewline
69 & 5080 & 5084.07587916694 & 1.07367783508273 & 0.320131525575902 & -0.946950861367222 \tabularnewline
70 & 5100 & 5098.01671689439 & 3.60269388394121 & 0.319079157232591 & 0.358487534097383 \tabularnewline
71 & 5085 & 5086.61997066158 & 0.654572151813744 & 0.320056586975421 & -0.417902127793455 \tabularnewline
72 & 5120 & 5115.96991590238 & 6.29464022631564 & 0.318566739562882 & 0.799498710464049 \tabularnewline
73 & 5195 & 5185.27390287156 & 18.6082291411434 & 1.64041499229607 & 1.81001505766694 \tabularnewline
74 & 5135 & 5142.83728698893 & 6.71130285403384 & -0.558199989328364 & -1.63062629653609 \tabularnewline
75 & 5200 & 5194.68951501788 & 15.5773518931434 & -0.527304676280821 & 1.25800843937055 \tabularnewline
76 & 5150 & 5157.36269752937 & 5.17771895385977 & -0.520646279753818 & -1.47386430730309 \tabularnewline
77 & 5105 & 5112.04101490165 & -4.7490330830443 & -0.510714206119701 & -1.40673613479301 \tabularnewline
78 & 5105 & 5105.71445157375 & -5.05911302636605 & -0.5104451484204 & -0.04394604853903 \tabularnewline
79 & 5030 & 5038.535625053 & -17.268972441247 & -0.501880016593309 & -1.73057479587447 \tabularnewline
80 & 5060 & 5056.01201652698 & -10.4397528934551 & -0.505706944088351 & 0.967994710151578 \tabularnewline
81 & 5075 & 5072.07967070803 & -5.22973772156063 & -0.508034193269151 & 0.738507808308285 \tabularnewline
82 & 5030 & 5034.66814476609 & -11.5550493014733 & -0.505782853545043 & -0.896617165454834 \tabularnewline
83 & 5090 & 5082.79037125668 & 0.174518317475574 & -0.50910917781138 & 1.66269602065737 \tabularnewline
84 & 5070 & 5071.93522943018 & -1.99337020437972 & -0.508619357792954 & -0.307306280848178 \tabularnewline
85 & 5160 & 5140.4225150604 & 11.7917637266272 & 10.5226749965575 & 2.01607690616218 \tabularnewline
86 & 5110 & 5115.58547951231 & 4.64552805588819 & -1.17109574361496 & -0.98383152756993 \tabularnewline
87 & 5145 & 5143.18836793193 & 9.15497463726586 & -1.15737222833064 & 0.639770900238251 \tabularnewline
88 & 5075 & 5084.87566339847 & -4.10732692671807 & -1.14995405779432 & -1.87962492348171 \tabularnewline
89 & 5125 & 5120.9593988787 & 3.7930234384661 & -1.15685982440334 & 1.11961556012107 \tabularnewline
90 & 5055 & 5064.00402312653 & -8.1476795874373 & -1.14780807808093 & -1.69234153952799 \tabularnewline
91 & 5050 & 5051.68657991135 & -8.96726382839602 & -1.14730579832313 & -0.116166533976011 \tabularnewline
92 & 5040 & 5041.32721784239 & -9.24088262176082 & -1.14717184533902 & -0.0387840134608262 \tabularnewline
93 & 5020 & 5022.39932476608 & -11.1448681789998 & -1.14642883651215 & -0.269887565422421 \tabularnewline
94 & 5025 & 5024.44160453444 & -8.55292922325365 & -1.14723478956125 & 0.36741076511246 \tabularnewline
95 & 4960 & 4967.41462150455 & -18.0805471749955 & -1.14487435252529 & -1.35056797231933 \tabularnewline
96 & 4965 & 4964.22004329398 & -15.1546862649771 & -1.1454518878324 & 0.414752455785124 \tabularnewline
97 & 4875 & 4876.22002118815 & -29.4111950801171 & 8.14661047258915 & -2.0770537094564 \tabularnewline
98 & 4805 & 4810.35900782448 & -36.528466044436 & -0.930129558478966 & -0.983180333324698 \tabularnewline
99 & 4735 & 4740.28620820625 & -43.1179702135662 & -0.947939126292615 & -0.934788806457037 \tabularnewline
100 & 4775 & 4766.93195193397 & -29.4044530110623 & -0.95474908759621 & 1.9436187662532 \tabularnewline
101 & 4815 & 4806.98317987685 & -15.7516609080635 & -0.965344307045288 & 1.93489461891263 \tabularnewline
102 & 4870 & 4861.8427671365 & -1.87233952933449 & -0.974685278541401 & 1.96714162144877 \tabularnewline
103 & 4860 & 4860.85976121499 & -1.69753704590804 & -0.974780387063062 & 0.0247765606523839 \tabularnewline
104 & 4875 & 4874.05046724503 & 1.22877683905195 & -0.976052266845072 & 0.414793122192352 \tabularnewline
105 & 4900 & 4898.03446385301 & 5.70134096471374 & -0.977601814366032 & 0.633983892246694 \tabularnewline
106 & 4855 & 4861.44522743044 & -2.61091990290219 & -0.975307136631054 & -1.17827811116185 \tabularnewline
107 & 4880 & 4878.44025983463 & 1.24266091074782 & -0.97615473447583 & 0.546257684577432 \tabularnewline
108 & 4850 & 4854.26318168788 & -3.75364492506729 & -0.975279164243198 & -0.708247293759726 \tabularnewline
109 & 4880 & 4866.36982575818 & -0.648138384904984 & 11.5894620513682 & 0.451095354621109 \tabularnewline
110 & 4900 & 4897.07285482444 & 5.47764846487449 & -0.906985722234634 & 0.848496912519707 \tabularnewline
111 & 4910 & 4909.94687600761 & 6.93069028464172 & -0.903459415411949 & 0.206113567959478 \tabularnewline
112 & 4935 & 4933.72585993648 & 10.2425512851783 & -0.904938139706613 & 0.469399104751418 \tabularnewline
113 & 4965 & 4963.39522992319 & 14.061227768955 & -0.907602694561857 & 0.541201879237145 \tabularnewline
114 & 4945 & 4949.51758489073 & 8.56958026696667 & -0.904279555544845 & -0.778354524813572 \tabularnewline
115 & 4965 & 4965.00963686131 & 9.9302247555014 & -0.904945192273999 & 0.192860313736235 \tabularnewline
116 & 4950 & 4953.65609511767 & 5.74684707341982 & -0.903310363941919 & -0.592980971925961 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298272&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]3780[/C][C]3780[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3795[/C][C]3793.37910821159[/C][C]0.985466330327196[/C][C]0.756984071903327[/C][C]0.262429485142133[/C][/ROW]
[ROW][C]3[/C][C]3840[/C][C]3833.0580885375[/C][C]4.43224795704527[/C][C]1.15537858222645[/C][C]1.17479318204581[/C][/ROW]
[ROW][C]4[/C][C]3900[/C][C]3890.93291132272[/C][C]10.8228524220448[/C][C]1.32548056702225[/C][C]1.58880779979685[/C][/ROW]
[ROW][C]5[/C][C]3940[/C][C]3934.08941601953[/C][C]15.4882897395531[/C][C]1.3869078908694[/C][C]0.942112139841346[/C][/ROW]
[ROW][C]6[/C][C]3990[/C][C]3983.88420681336[/C][C]21.0449973174081[/C][C]1.43722345733373[/C][C]0.985188007526608[/C][/ROW]
[ROW][C]7[/C][C]4050[/C][C]4043.36778750806[/C][C]27.7345113728801[/C][C]1.48278912193378[/C][C]1.09275551711176[/C][/ROW]
[ROW][C]8[/C][C]4090[/C][C]4086.46862660701[/C][C]30.5317642840151[/C][C]1.49752919614447[/C][C]0.433863189578987[/C][/ROW]
[ROW][C]9[/C][C]4145[/C][C]4140.4105967886[/C][C]34.9156743707818[/C][C]1.51561968954627[/C][C]0.657975830487531[/C][/ROW]
[ROW][C]10[/C][C]4190[/C][C]4186.95791567081[/C][C]37.1331307737488[/C][C]1.52283319354587[/C][C]0.325945394856835[/C][/ROW]
[ROW][C]11[/C][C]4175[/C][C]4179.32634861135[/C][C]28.5023488158051[/C][C]1.50061199963996[/C][C]-1.25195632168522[/C][/ROW]
[ROW][C]12[/C][C]4230[/C][C]4226.11684411975[/C][C]32.0535971885596[/C][C]1.50786623343609[/C][C]0.51082142367638[/C][/ROW]
[ROW][C]13[/C][C]4220[/C][C]4244.9200034248[/C][C]29.6202195036449[/C][C]-23.2745998822314[/C][C]-0.434444798578576[/C][/ROW]
[ROW][C]14[/C][C]4245[/C][C]4246.19574374386[/C][C]24.1971733686655[/C][C]1.42704969934178[/C][C]-0.664269111761149[/C][/ROW]
[ROW][C]15[/C][C]4295[/C][C]4290.87002655595[/C][C]28.2004906486946[/C][C]1.48139046457019[/C][C]0.571211795177397[/C][/ROW]
[ROW][C]16[/C][C]4290[/C][C]4292.01104346863[/C][C]22.891885121881[/C][C]1.48993566331914[/C][C]-0.753958166747014[/C][/ROW]
[ROW][C]17[/C][C]4325[/C][C]4322.52865207682[/C][C]24.3889855620279[/C][C]1.485359888631[/C][C]0.212372593547551[/C][/ROW]
[ROW][C]18[/C][C]4335[/C][C]4335.04360903982[/C][C]22.0570626084548[/C][C]1.49163215499609[/C][C]-0.330691169952273[/C][/ROW]
[ROW][C]19[/C][C]4360[/C][C]4358.34766342451[/C][C]22.3020128299907[/C][C]1.49109828640788[/C][C]0.0347313673474083[/C][/ROW]
[ROW][C]20[/C][C]4360[/C][C]4361.0381565915[/C][C]18.4490447044807[/C][C]1.49780890510256[/C][C]-0.54626251169472[/C][/ROW]
[ROW][C]21[/C][C]4320[/C][C]4325.47248519397[/C][C]7.83583252206346[/C][C]1.51254400679887[/C][C]-1.50462746726812[/C][/ROW]
[ROW][C]22[/C][C]4310[/C][C]4311.32555752431[/C][C]3.51612850177399[/C][C]1.5173227046311[/C][C]-0.612380046521561[/C][/ROW]
[ROW][C]23[/C][C]4345[/C][C]4340.20666484322[/C][C]8.50076710394067[/C][C]1.51292924896501[/C][C]0.706628480204732[/C][/ROW]
[ROW][C]24[/C][C]4315[/C][C]4317.51672973497[/C][C]2.37098792277812[/C][C]1.51723381925035[/C][C]-0.868952846281989[/C][/ROW]
[ROW][C]25[/C][C]4315[/C][C]4328.4746892698[/C][C]4.02802119283445[/C][C]-14.5589270855766[/C][C]0.260777901459322[/C][/ROW]
[ROW][C]26[/C][C]4335[/C][C]4333.54951408836[/C][C]4.22971813299954[/C][C]1.34015293631601[/C][C]0.0262345353425376[/C][/ROW]
[ROW][C]27[/C][C]4365[/C][C]4360.66378168183[/C][C]8.71979174486626[/C][C]1.37753456146937[/C][C]0.637925434229906[/C][/ROW]
[ROW][C]28[/C][C]4410[/C][C]4404.13870026932[/C][C]15.5525088543776[/C][C]1.36735916558188[/C][C]0.968066858221605[/C][/ROW]
[ROW][C]29[/C][C]4435[/C][C]4432.04181120621[/C][C]17.9805029619519[/C][C]1.36165346349602[/C][C]0.34393492368038[/C][/ROW]
[ROW][C]30[/C][C]4440[/C][C]4439.93801233902[/C][C]15.9982987777623[/C][C]1.36569671368794[/C][C]-0.280847452594866[/C][/ROW]
[ROW][C]31[/C][C]4390[/C][C]4396.32280432173[/C][C]4.28137236948845[/C][C]1.38502207413286[/C][C]-1.66040217994062[/C][/ROW]
[ROW][C]32[/C][C]4445[/C][C]4438.69885957617[/C][C]11.7685421177145[/C][C]1.3751567331627[/C][C]1.0611299525871[/C][/ROW]
[ROW][C]33[/C][C]4470[/C][C]4466.54857396437[/C][C]14.9291142167535[/C][C]1.37183705546822[/C][C]0.447970487757857[/C][/ROW]
[ROW][C]34[/C][C]4430[/C][C]4434.67343603843[/C][C]5.73026199397932[/C][C]1.37953589470868[/C][C]-1.3038817223523[/C][/ROW]
[ROW][C]35[/C][C]4450[/C][C]4447.68032706516[/C][C]7.16041246019159[/C][C]1.37858221930915[/C][C]0.20272136798151[/C][/ROW]
[ROW][C]36[/C][C]4480[/C][C]4475.89993292704[/C][C]11.2994330954903[/C][C]1.37638316574511[/C][C]0.586710409004852[/C][/ROW]
[ROW][C]37[/C][C]4565[/C][C]4559.15281312339[/C][C]25.2779237285676[/C][C]-3.31165338293803[/C][C]2.12694809323031[/C][/ROW]
[ROW][C]38[/C][C]4515[/C][C]4522.35528775347[/C][C]13.2590570006511[/C][C]-0.432740102072313[/C][C]-1.60170205620476[/C][/ROW]
[ROW][C]39[/C][C]4490[/C][C]4495.64881483923[/C][C]5.41405689933943[/C][C]-0.481115767309923[/C][C]-1.11394241296439[/C][/ROW]
[ROW][C]40[/C][C]4535[/C][C]4531.54599761548[/C][C]11.4066892522704[/C][C]-0.487885280941598[/C][C]0.8491409764971[/C][/ROW]
[ROW][C]41[/C][C]4545[/C][C]4545.19833079283[/C][C]11.8481442043563[/C][C]-0.488665009894533[/C][C]0.0625443971132483[/C][/ROW]
[ROW][C]42[/C][C]4555[/C][C]4555.66665699147[/C][C]11.5769232217967[/C][C]-0.488249524952866[/C][C]-0.0384323620695134[/C][/ROW]
[ROW][C]43[/C][C]4575[/C][C]4574.54578212657[/C][C]13.0121789370886[/C][C]-0.490027104615387[/C][C]0.203405309276456[/C][/ROW]
[ROW][C]44[/C][C]4585[/C][C]4585.72651197822[/C][C]12.6522158703622[/C][C]-0.48967096316952[/C][C]-0.0510187849913124[/C][/ROW]
[ROW][C]45[/C][C]4600[/C][C]4600.24819072826[/C][C]13.0196466995393[/C][C]-0.489960744484837[/C][C]0.05208021964504[/C][/ROW]
[ROW][C]46[/C][C]4690[/C][C]4681.65394878061[/C][C]26.4604951024626[/C][C]-0.498407309087224[/C][C]1.90519668278576[/C][/ROW]
[ROW][C]47[/C][C]4720[/C][C]4719.08111026427[/C][C]28.6159336240103[/C][C]-0.499486540806028[/C][C]0.305533533006332[/C][/ROW]
[ROW][C]48[/C][C]4780[/C][C]4776.74477935006[/C][C]34.3251496168276[/C][C]-0.501764122223222[/C][C]0.809293648773226[/C][/ROW]
[ROW][C]49[/C][C]4775[/C][C]4777.81688743119[/C][C]27.8457058046238[/C][C]1.43311523946109[/C][C]-0.969212257070168[/C][/ROW]
[ROW][C]50[/C][C]4830[/C][C]4827.42015946859[/C][C]32.071266167024[/C][C]0.0747074889839892[/C][C]0.570749031649876[/C][/ROW]
[ROW][C]51[/C][C]4865[/C][C]4864.29898249051[/C][C]33.0152182907145[/C][C]0.0793369104589692[/C][C]0.133989748371902[/C][/ROW]
[ROW][C]52[/C][C]4945[/C][C]4939.47575663707[/C][C]41.3034289597282[/C][C]0.0718708191118461[/C][C]1.17451627275416[/C][/ROW]
[ROW][C]53[/C][C]5005[/C][C]5002.16841579751[/C][C]45.5080728448447[/C][C]0.0659519409763159[/C][C]0.595771339643047[/C][/ROW]
[ROW][C]54[/C][C]5065[/C][C]5062.9612676176[/C][C]48.5124753194497[/C][C]0.0622840586512518[/C][C]0.42576086820419[/C][/ROW]
[ROW][C]55[/C][C]5105[/C][C]5105.68515917058[/C][C]47.3747157370905[/C][C]0.0634070236905674[/C][C]-0.161252087683521[/C][/ROW]
[ROW][C]56[/C][C]5080[/C][C]5088.30144663167[/C][C]34.6465852819863[/C][C]0.073442560448881[/C][C]-1.8040588258976[/C][/ROW]
[ROW][C]57[/C][C]5045[/C][C]5053.85399973081[/C][C]21.0664097978222[/C][C]0.0819776673643413[/C][C]-1.92491443738406[/C][/ROW]
[ROW][C]58[/C][C]5115[/C][C]5110.34046061226[/C][C]28.0280895670614[/C][C]0.0784912879192929[/C][C]0.986808278317122[/C][/ROW]
[ROW][C]59[/C][C]5095[/C][C]5099.89463395216[/C][C]20.4661529865937[/C][C]0.0815085863139401[/C][C]-1.07191372679374[/C][/ROW]
[ROW][C]60[/C][C]5075[/C][C]5080.12065691068[/C][C]12.5570260391682[/C][C]0.0840229697749707[/C][C]-1.12114159280111[/C][/ROW]
[ROW][C]61[/C][C]5080[/C][C]5083.0926634021[/C][C]10.6860637024723[/C][C]-1.86464370304303[/C][C]-0.276960769007268[/C][/ROW]
[ROW][C]62[/C][C]5115[/C][C]5112.48528003913[/C][C]14.3264852193616[/C][C]0.316022235012959[/C][C]0.495975543644424[/C][/ROW]
[ROW][C]63[/C][C]5115[/C][C]5116.08034864552[/C][C]12.2190171171097[/C][C]0.307430853537928[/C][C]-0.29907788270523[/C][/ROW]
[ROW][C]64[/C][C]5115[/C][C]5116.2491935193[/C][C]9.85021908607052[/C][C]0.309203961486001[/C][C]-0.335699262921572[/C][/ROW]
[ROW][C]65[/C][C]5065[/C][C]5071.71115527973[/C][C]-0.841106127784492[/C][C]0.321709776902216[/C][C]-1.51500519234404[/C][/ROW]
[ROW][C]66[/C][C]5045[/C][C]5047.67335068575[/C][C]-5.40067093476686[/C][C]0.326335138526031[/C][C]-0.6461800417627[/C][/ROW]
[ROW][C]67[/C][C]5080[/C][C]5075.39546545718[/C][C]1.10971616999062[/C][C]0.320995848712103[/C][C]0.922733291913088[/C][/ROW]
[ROW][C]68[/C][C]5115[/C][C]5110.31124669478[/C][C]7.75427859198593[/C][C]0.316642728236027[/C][C]0.941806570555111[/C][/ROW]
[ROW][C]69[/C][C]5080[/C][C]5084.07587916694[/C][C]1.07367783508273[/C][C]0.320131525575902[/C][C]-0.946950861367222[/C][/ROW]
[ROW][C]70[/C][C]5100[/C][C]5098.01671689439[/C][C]3.60269388394121[/C][C]0.319079157232591[/C][C]0.358487534097383[/C][/ROW]
[ROW][C]71[/C][C]5085[/C][C]5086.61997066158[/C][C]0.654572151813744[/C][C]0.320056586975421[/C][C]-0.417902127793455[/C][/ROW]
[ROW][C]72[/C][C]5120[/C][C]5115.96991590238[/C][C]6.29464022631564[/C][C]0.318566739562882[/C][C]0.799498710464049[/C][/ROW]
[ROW][C]73[/C][C]5195[/C][C]5185.27390287156[/C][C]18.6082291411434[/C][C]1.64041499229607[/C][C]1.81001505766694[/C][/ROW]
[ROW][C]74[/C][C]5135[/C][C]5142.83728698893[/C][C]6.71130285403384[/C][C]-0.558199989328364[/C][C]-1.63062629653609[/C][/ROW]
[ROW][C]75[/C][C]5200[/C][C]5194.68951501788[/C][C]15.5773518931434[/C][C]-0.527304676280821[/C][C]1.25800843937055[/C][/ROW]
[ROW][C]76[/C][C]5150[/C][C]5157.36269752937[/C][C]5.17771895385977[/C][C]-0.520646279753818[/C][C]-1.47386430730309[/C][/ROW]
[ROW][C]77[/C][C]5105[/C][C]5112.04101490165[/C][C]-4.7490330830443[/C][C]-0.510714206119701[/C][C]-1.40673613479301[/C][/ROW]
[ROW][C]78[/C][C]5105[/C][C]5105.71445157375[/C][C]-5.05911302636605[/C][C]-0.5104451484204[/C][C]-0.04394604853903[/C][/ROW]
[ROW][C]79[/C][C]5030[/C][C]5038.535625053[/C][C]-17.268972441247[/C][C]-0.501880016593309[/C][C]-1.73057479587447[/C][/ROW]
[ROW][C]80[/C][C]5060[/C][C]5056.01201652698[/C][C]-10.4397528934551[/C][C]-0.505706944088351[/C][C]0.967994710151578[/C][/ROW]
[ROW][C]81[/C][C]5075[/C][C]5072.07967070803[/C][C]-5.22973772156063[/C][C]-0.508034193269151[/C][C]0.738507808308285[/C][/ROW]
[ROW][C]82[/C][C]5030[/C][C]5034.66814476609[/C][C]-11.5550493014733[/C][C]-0.505782853545043[/C][C]-0.896617165454834[/C][/ROW]
[ROW][C]83[/C][C]5090[/C][C]5082.79037125668[/C][C]0.174518317475574[/C][C]-0.50910917781138[/C][C]1.66269602065737[/C][/ROW]
[ROW][C]84[/C][C]5070[/C][C]5071.93522943018[/C][C]-1.99337020437972[/C][C]-0.508619357792954[/C][C]-0.307306280848178[/C][/ROW]
[ROW][C]85[/C][C]5160[/C][C]5140.4225150604[/C][C]11.7917637266272[/C][C]10.5226749965575[/C][C]2.01607690616218[/C][/ROW]
[ROW][C]86[/C][C]5110[/C][C]5115.58547951231[/C][C]4.64552805588819[/C][C]-1.17109574361496[/C][C]-0.98383152756993[/C][/ROW]
[ROW][C]87[/C][C]5145[/C][C]5143.18836793193[/C][C]9.15497463726586[/C][C]-1.15737222833064[/C][C]0.639770900238251[/C][/ROW]
[ROW][C]88[/C][C]5075[/C][C]5084.87566339847[/C][C]-4.10732692671807[/C][C]-1.14995405779432[/C][C]-1.87962492348171[/C][/ROW]
[ROW][C]89[/C][C]5125[/C][C]5120.9593988787[/C][C]3.7930234384661[/C][C]-1.15685982440334[/C][C]1.11961556012107[/C][/ROW]
[ROW][C]90[/C][C]5055[/C][C]5064.00402312653[/C][C]-8.1476795874373[/C][C]-1.14780807808093[/C][C]-1.69234153952799[/C][/ROW]
[ROW][C]91[/C][C]5050[/C][C]5051.68657991135[/C][C]-8.96726382839602[/C][C]-1.14730579832313[/C][C]-0.116166533976011[/C][/ROW]
[ROW][C]92[/C][C]5040[/C][C]5041.32721784239[/C][C]-9.24088262176082[/C][C]-1.14717184533902[/C][C]-0.0387840134608262[/C][/ROW]
[ROW][C]93[/C][C]5020[/C][C]5022.39932476608[/C][C]-11.1448681789998[/C][C]-1.14642883651215[/C][C]-0.269887565422421[/C][/ROW]
[ROW][C]94[/C][C]5025[/C][C]5024.44160453444[/C][C]-8.55292922325365[/C][C]-1.14723478956125[/C][C]0.36741076511246[/C][/ROW]
[ROW][C]95[/C][C]4960[/C][C]4967.41462150455[/C][C]-18.0805471749955[/C][C]-1.14487435252529[/C][C]-1.35056797231933[/C][/ROW]
[ROW][C]96[/C][C]4965[/C][C]4964.22004329398[/C][C]-15.1546862649771[/C][C]-1.1454518878324[/C][C]0.414752455785124[/C][/ROW]
[ROW][C]97[/C][C]4875[/C][C]4876.22002118815[/C][C]-29.4111950801171[/C][C]8.14661047258915[/C][C]-2.0770537094564[/C][/ROW]
[ROW][C]98[/C][C]4805[/C][C]4810.35900782448[/C][C]-36.528466044436[/C][C]-0.930129558478966[/C][C]-0.983180333324698[/C][/ROW]
[ROW][C]99[/C][C]4735[/C][C]4740.28620820625[/C][C]-43.1179702135662[/C][C]-0.947939126292615[/C][C]-0.934788806457037[/C][/ROW]
[ROW][C]100[/C][C]4775[/C][C]4766.93195193397[/C][C]-29.4044530110623[/C][C]-0.95474908759621[/C][C]1.9436187662532[/C][/ROW]
[ROW][C]101[/C][C]4815[/C][C]4806.98317987685[/C][C]-15.7516609080635[/C][C]-0.965344307045288[/C][C]1.93489461891263[/C][/ROW]
[ROW][C]102[/C][C]4870[/C][C]4861.8427671365[/C][C]-1.87233952933449[/C][C]-0.974685278541401[/C][C]1.96714162144877[/C][/ROW]
[ROW][C]103[/C][C]4860[/C][C]4860.85976121499[/C][C]-1.69753704590804[/C][C]-0.974780387063062[/C][C]0.0247765606523839[/C][/ROW]
[ROW][C]104[/C][C]4875[/C][C]4874.05046724503[/C][C]1.22877683905195[/C][C]-0.976052266845072[/C][C]0.414793122192352[/C][/ROW]
[ROW][C]105[/C][C]4900[/C][C]4898.03446385301[/C][C]5.70134096471374[/C][C]-0.977601814366032[/C][C]0.633983892246694[/C][/ROW]
[ROW][C]106[/C][C]4855[/C][C]4861.44522743044[/C][C]-2.61091990290219[/C][C]-0.975307136631054[/C][C]-1.17827811116185[/C][/ROW]
[ROW][C]107[/C][C]4880[/C][C]4878.44025983463[/C][C]1.24266091074782[/C][C]-0.97615473447583[/C][C]0.546257684577432[/C][/ROW]
[ROW][C]108[/C][C]4850[/C][C]4854.26318168788[/C][C]-3.75364492506729[/C][C]-0.975279164243198[/C][C]-0.708247293759726[/C][/ROW]
[ROW][C]109[/C][C]4880[/C][C]4866.36982575818[/C][C]-0.648138384904984[/C][C]11.5894620513682[/C][C]0.451095354621109[/C][/ROW]
[ROW][C]110[/C][C]4900[/C][C]4897.07285482444[/C][C]5.47764846487449[/C][C]-0.906985722234634[/C][C]0.848496912519707[/C][/ROW]
[ROW][C]111[/C][C]4910[/C][C]4909.94687600761[/C][C]6.93069028464172[/C][C]-0.903459415411949[/C][C]0.206113567959478[/C][/ROW]
[ROW][C]112[/C][C]4935[/C][C]4933.72585993648[/C][C]10.2425512851783[/C][C]-0.904938139706613[/C][C]0.469399104751418[/C][/ROW]
[ROW][C]113[/C][C]4965[/C][C]4963.39522992319[/C][C]14.061227768955[/C][C]-0.907602694561857[/C][C]0.541201879237145[/C][/ROW]
[ROW][C]114[/C][C]4945[/C][C]4949.51758489073[/C][C]8.56958026696667[/C][C]-0.904279555544845[/C][C]-0.778354524813572[/C][/ROW]
[ROW][C]115[/C][C]4965[/C][C]4965.00963686131[/C][C]9.9302247555014[/C][C]-0.904945192273999[/C][C]0.192860313736235[/C][/ROW]
[ROW][C]116[/C][C]4950[/C][C]4953.65609511767[/C][C]5.74684707341982[/C][C]-0.903310363941919[/C][C]-0.592980971925961[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298272&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298272&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
137803780000
237953793.379108211590.9854663303271960.7569840719033270.262429485142133
338403833.05808853754.432247957045271.155378582226451.17479318204581
439003890.9329113227210.82285242204481.325480567022251.58880779979685
539403934.0894160195315.48828973955311.38690789086940.942112139841346
639903983.8842068133621.04499731740811.437223457333730.985188007526608
740504043.3677875080627.73451137288011.482789121933781.09275551711176
840904086.4686266070130.53176428401511.497529196144470.433863189578987
941454140.410596788634.91567437078181.515619689546270.657975830487531
1041904186.9579156708137.13313077374881.522833193545870.325945394856835
1141754179.3263486113528.50234881580511.50061199963996-1.25195632168522
1242304226.1168441197532.05359718855961.507866233436090.51082142367638
1342204244.920003424829.6202195036449-23.2745998822314-0.434444798578576
1442454246.1957437438624.19717336866551.42704969934178-0.664269111761149
1542954290.8700265559528.20049064869461.481390464570190.571211795177397
1642904292.0110434686322.8918851218811.48993566331914-0.753958166747014
1743254322.5286520768224.38898556202791.4853598886310.212372593547551
1843354335.0436090398222.05706260845481.49163215499609-0.330691169952273
1943604358.3476634245122.30201282999071.491098286407880.0347313673474083
2043604361.038156591518.44904470448071.49780890510256-0.54626251169472
2143204325.472485193977.835832522063461.51254400679887-1.50462746726812
2243104311.325557524313.516128501773991.5173227046311-0.612380046521561
2343454340.206664843228.500767103940671.512929248965010.706628480204732
2443154317.516729734972.370987922778121.51723381925035-0.868952846281989
2543154328.47468926984.02802119283445-14.55892708557660.260777901459322
2643354333.549514088364.229718132999541.340152936316010.0262345353425376
2743654360.663781681838.719791744866261.377534561469370.637925434229906
2844104404.1387002693215.55250885437761.367359165581880.968066858221605
2944354432.0418112062117.98050296195191.361653463496020.34393492368038
3044404439.9380123390215.99829877776231.36569671368794-0.280847452594866
3143904396.322804321734.281372369488451.38502207413286-1.66040217994062
3244454438.6988595761711.76854211771451.37515673316271.0611299525871
3344704466.5485739643714.92911421675351.371837055468220.447970487757857
3444304434.673436038435.730261993979321.37953589470868-1.3038817223523
3544504447.680327065167.160412460191591.378582219309150.20272136798151
3644804475.8999329270411.29943309549031.376383165745110.586710409004852
3745654559.1528131233925.2779237285676-3.311653382938032.12694809323031
3845154522.3552877534713.2590570006511-0.432740102072313-1.60170205620476
3944904495.648814839235.41405689933943-0.481115767309923-1.11394241296439
4045354531.5459976154811.4066892522704-0.4878852809415980.8491409764971
4145454545.1983307928311.8481442043563-0.4886650098945330.0625443971132483
4245554555.6666569914711.5769232217967-0.488249524952866-0.0384323620695134
4345754574.5457821265713.0121789370886-0.4900271046153870.203405309276456
4445854585.7265119782212.6522158703622-0.48967096316952-0.0510187849913124
4546004600.2481907282613.0196466995393-0.4899607444848370.05208021964504
4646904681.6539487806126.4604951024626-0.4984073090872241.90519668278576
4747204719.0811102642728.6159336240103-0.4994865408060280.305533533006332
4847804776.7447793500634.3251496168276-0.5017641222232220.809293648773226
4947754777.8168874311927.84570580462381.43311523946109-0.969212257070168
5048304827.4201594685932.0712661670240.07470748898398920.570749031649876
5148654864.2989824905133.01521829071450.07933691045896920.133989748371902
5249454939.4757566370741.30342895972820.07187081911184611.17451627275416
5350055002.1684157975145.50807284484470.06595194097631590.595771339643047
5450655062.961267617648.51247531944970.06228405865125180.42576086820419
5551055105.6851591705847.37471573709050.0634070236905674-0.161252087683521
5650805088.3014466316734.64658528198630.073442560448881-1.8040588258976
5750455053.8539997308121.06640979782220.0819776673643413-1.92491443738406
5851155110.3404606122628.02808956706140.07849128791929290.986808278317122
5950955099.8946339521620.46615298659370.0815085863139401-1.07191372679374
6050755080.1206569106812.55702603916820.0840229697749707-1.12114159280111
6150805083.092663402110.6860637024723-1.86464370304303-0.276960769007268
6251155112.4852800391314.32648521936160.3160222350129590.495975543644424
6351155116.0803486455212.21901711710970.307430853537928-0.29907788270523
6451155116.24919351939.850219086070520.309203961486001-0.335699262921572
6550655071.71115527973-0.8411061277844920.321709776902216-1.51500519234404
6650455047.67335068575-5.400670934766860.326335138526031-0.6461800417627
6750805075.395465457181.109716169990620.3209958487121030.922733291913088
6851155110.311246694787.754278591985930.3166427282360270.941806570555111
6950805084.075879166941.073677835082730.320131525575902-0.946950861367222
7051005098.016716894393.602693883941210.3190791572325910.358487534097383
7150855086.619970661580.6545721518137440.320056586975421-0.417902127793455
7251205115.969915902386.294640226315640.3185667395628820.799498710464049
7351955185.2739028715618.60822914114341.640414992296071.81001505766694
7451355142.837286988936.71130285403384-0.558199989328364-1.63062629653609
7552005194.6895150178815.5773518931434-0.5273046762808211.25800843937055
7651505157.362697529375.17771895385977-0.520646279753818-1.47386430730309
7751055112.04101490165-4.7490330830443-0.510714206119701-1.40673613479301
7851055105.71445157375-5.05911302636605-0.5104451484204-0.04394604853903
7950305038.535625053-17.268972441247-0.501880016593309-1.73057479587447
8050605056.01201652698-10.4397528934551-0.5057069440883510.967994710151578
8150755072.07967070803-5.22973772156063-0.5080341932691510.738507808308285
8250305034.66814476609-11.5550493014733-0.505782853545043-0.896617165454834
8350905082.790371256680.174518317475574-0.509109177811381.66269602065737
8450705071.93522943018-1.99337020437972-0.508619357792954-0.307306280848178
8551605140.422515060411.791763726627210.52267499655752.01607690616218
8651105115.585479512314.64552805588819-1.17109574361496-0.98383152756993
8751455143.188367931939.15497463726586-1.157372228330640.639770900238251
8850755084.87566339847-4.10732692671807-1.14995405779432-1.87962492348171
8951255120.95939887873.7930234384661-1.156859824403341.11961556012107
9050555064.00402312653-8.1476795874373-1.14780807808093-1.69234153952799
9150505051.68657991135-8.96726382839602-1.14730579832313-0.116166533976011
9250405041.32721784239-9.24088262176082-1.14717184533902-0.0387840134608262
9350205022.39932476608-11.1448681789998-1.14642883651215-0.269887565422421
9450255024.44160453444-8.55292922325365-1.147234789561250.36741076511246
9549604967.41462150455-18.0805471749955-1.14487435252529-1.35056797231933
9649654964.22004329398-15.1546862649771-1.14545188783240.414752455785124
9748754876.22002118815-29.41119508011718.14661047258915-2.0770537094564
9848054810.35900782448-36.528466044436-0.930129558478966-0.983180333324698
9947354740.28620820625-43.1179702135662-0.947939126292615-0.934788806457037
10047754766.93195193397-29.4044530110623-0.954749087596211.9436187662532
10148154806.98317987685-15.7516609080635-0.9653443070452881.93489461891263
10248704861.8427671365-1.87233952933449-0.9746852785414011.96714162144877
10348604860.85976121499-1.69753704590804-0.9747803870630620.0247765606523839
10448754874.050467245031.22877683905195-0.9760522668450720.414793122192352
10549004898.034463853015.70134096471374-0.9776018143660320.633983892246694
10648554861.44522743044-2.61091990290219-0.975307136631054-1.17827811116185
10748804878.440259834631.24266091074782-0.976154734475830.546257684577432
10848504854.26318168788-3.75364492506729-0.975279164243198-0.708247293759726
10948804866.36982575818-0.64813838490498411.58946205136820.451095354621109
11049004897.072854824445.47764846487449-0.9069857222346340.848496912519707
11149104909.946876007616.93069028464172-0.9034594154119490.206113567959478
11249354933.7258599364810.2425512851783-0.9049381397066130.469399104751418
11349654963.3952299231914.061227768955-0.9076026945618570.541201879237145
11449454949.517584890738.56958026696667-0.904279555544845-0.778354524813572
11549654965.009636861319.9302247555014-0.9049451922739990.192860313736235
11649504953.656095117675.74684707341982-0.903310363941919-0.592980971925961







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14945.329882252274947.58456455147-2.25468229919641
24945.322251246894947.55162832936-2.22937708247368
34941.791267814374947.51869210726-5.72742429289831
44941.959153996464947.48575588516-5.52660188870635
54953.299970915564947.452819663065.84715125250273
64935.661247250264947.41988344096-11.7586361906999
74941.851502971644947.38694721886-5.53544424721967
84947.870739470444947.354010996760.516728473684813
94956.718957409874947.321074774669.39788263521615
104954.396158642394947.288138552567.10802008983151
114950.40234278794947.255202330463.14714045744212
124954.237509200874947.222266108367.01524309251699
134944.934647587064947.18932988625-2.25468229919641
144944.927016581684947.15639366415-2.22937708247368
154941.396033149154947.12345744205-5.72742429289831
164941.563919331254947.09052121995-5.52660188870635
174952.904736250354947.057584997855.84715125250273
184935.266012585054947.02464877575-11.7586361906999

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4945.32988225227 & 4947.58456455147 & -2.25468229919641 \tabularnewline
2 & 4945.32225124689 & 4947.55162832936 & -2.22937708247368 \tabularnewline
3 & 4941.79126781437 & 4947.51869210726 & -5.72742429289831 \tabularnewline
4 & 4941.95915399646 & 4947.48575588516 & -5.52660188870635 \tabularnewline
5 & 4953.29997091556 & 4947.45281966306 & 5.84715125250273 \tabularnewline
6 & 4935.66124725026 & 4947.41988344096 & -11.7586361906999 \tabularnewline
7 & 4941.85150297164 & 4947.38694721886 & -5.53544424721967 \tabularnewline
8 & 4947.87073947044 & 4947.35401099676 & 0.516728473684813 \tabularnewline
9 & 4956.71895740987 & 4947.32107477466 & 9.39788263521615 \tabularnewline
10 & 4954.39615864239 & 4947.28813855256 & 7.10802008983151 \tabularnewline
11 & 4950.4023427879 & 4947.25520233046 & 3.14714045744212 \tabularnewline
12 & 4954.23750920087 & 4947.22226610836 & 7.01524309251699 \tabularnewline
13 & 4944.93464758706 & 4947.18932988625 & -2.25468229919641 \tabularnewline
14 & 4944.92701658168 & 4947.15639366415 & -2.22937708247368 \tabularnewline
15 & 4941.39603314915 & 4947.12345744205 & -5.72742429289831 \tabularnewline
16 & 4941.56391933125 & 4947.09052121995 & -5.52660188870635 \tabularnewline
17 & 4952.90473625035 & 4947.05758499785 & 5.84715125250273 \tabularnewline
18 & 4935.26601258505 & 4947.02464877575 & -11.7586361906999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298272&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]4945.32988225227[/C][C]4947.58456455147[/C][C]-2.25468229919641[/C][/ROW]
[ROW][C]2[/C][C]4945.32225124689[/C][C]4947.55162832936[/C][C]-2.22937708247368[/C][/ROW]
[ROW][C]3[/C][C]4941.79126781437[/C][C]4947.51869210726[/C][C]-5.72742429289831[/C][/ROW]
[ROW][C]4[/C][C]4941.95915399646[/C][C]4947.48575588516[/C][C]-5.52660188870635[/C][/ROW]
[ROW][C]5[/C][C]4953.29997091556[/C][C]4947.45281966306[/C][C]5.84715125250273[/C][/ROW]
[ROW][C]6[/C][C]4935.66124725026[/C][C]4947.41988344096[/C][C]-11.7586361906999[/C][/ROW]
[ROW][C]7[/C][C]4941.85150297164[/C][C]4947.38694721886[/C][C]-5.53544424721967[/C][/ROW]
[ROW][C]8[/C][C]4947.87073947044[/C][C]4947.35401099676[/C][C]0.516728473684813[/C][/ROW]
[ROW][C]9[/C][C]4956.71895740987[/C][C]4947.32107477466[/C][C]9.39788263521615[/C][/ROW]
[ROW][C]10[/C][C]4954.39615864239[/C][C]4947.28813855256[/C][C]7.10802008983151[/C][/ROW]
[ROW][C]11[/C][C]4950.4023427879[/C][C]4947.25520233046[/C][C]3.14714045744212[/C][/ROW]
[ROW][C]12[/C][C]4954.23750920087[/C][C]4947.22226610836[/C][C]7.01524309251699[/C][/ROW]
[ROW][C]13[/C][C]4944.93464758706[/C][C]4947.18932988625[/C][C]-2.25468229919641[/C][/ROW]
[ROW][C]14[/C][C]4944.92701658168[/C][C]4947.15639366415[/C][C]-2.22937708247368[/C][/ROW]
[ROW][C]15[/C][C]4941.39603314915[/C][C]4947.12345744205[/C][C]-5.72742429289831[/C][/ROW]
[ROW][C]16[/C][C]4941.56391933125[/C][C]4947.09052121995[/C][C]-5.52660188870635[/C][/ROW]
[ROW][C]17[/C][C]4952.90473625035[/C][C]4947.05758499785[/C][C]5.84715125250273[/C][/ROW]
[ROW][C]18[/C][C]4935.26601258505[/C][C]4947.02464877575[/C][C]-11.7586361906999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298272&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298272&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
14945.329882252274947.58456455147-2.25468229919641
24945.322251246894947.55162832936-2.22937708247368
34941.791267814374947.51869210726-5.72742429289831
44941.959153996464947.48575588516-5.52660188870635
54953.299970915564947.452819663065.84715125250273
64935.661247250264947.41988344096-11.7586361906999
74941.851502971644947.38694721886-5.53544424721967
84947.870739470444947.354010996760.516728473684813
94956.718957409874947.321074774669.39788263521615
104954.396158642394947.288138552567.10802008983151
114950.40234278794947.255202330463.14714045744212
124954.237509200874947.222266108367.01524309251699
134944.934647587064947.18932988625-2.25468229919641
144944.927016581684947.15639366415-2.22937708247368
154941.396033149154947.12345744205-5.72742429289831
164941.563919331254947.09052121995-5.52660188870635
174952.904736250354947.057584997855.84715125250273
184935.266012585054947.02464877575-11.7586361906999



Parameters (Session):
par1 = 1212 ; par2 = periodic18 ; par3 = 0BFGS ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
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')