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Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 15 Dec 2016 22:10:38 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/15/t14818362918keplzwd674m93u.htm/, Retrieved Fri, 17 May 2024 13:28:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300018, Retrieved Fri, 17 May 2024 13:28:29 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ML Fitting and QQ Plot- Normal Distribution] [ML Fitting - Norm...] [2016-12-15 19:26:30] [5ad8e5538a25411d3c3b0ec85050bd51]
- RMPD    [Structural Time Series Models] [Structural decomp...] [2016-12-15 21:10:38] [c0b73e623858a81821526bb2f691ccd9] [Current]
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Dataseries X:
3300
4100
3550
3650
3400
4050
2950
3300
3950
3950
3900
3700
3850
4350
4350
3550
3800
4150
3500
3850
4250
4150
4200
4100
4200
4350
4150
4200
3850
4100
3800
4250
4400
4400
4450
4050
4100
4450
4600
4100
4300
4850
3800
4450
4800
4900
4900
4350
4500
5050
5150
4450
4900
5450
4100
5050
5550
5450
5500
4950
5400
5750
5950
5950
5750
6450
5000
5950
6250
6300
6400
5700
5750
6450
6500
5950
6200
6750
5300
6450
6900
6800
6750
6050
6100
7400
7300
6200
6550
7500
5400
6750
7400
7450
7200
6500
7150
8000
7000
7600
7100
8050
5700
7550
7800
7800
8250
7150
7350
7800
8250
7500
8150
8550




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=300018&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=300018&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300018&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
133003300000
241003748.2522518680826.3497937263429185.1632256116292.64996789724854
335503698.6086871667421.5115008412961-121.832815755808-0.457856186946152
436503669.585908937619.19751363446722.38385333040239-0.353523564926321
534003542.0328977576114.4344348447133-72.8712575218134-1.08235300835336
640503754.6518761785519.6249729849408199.7192403892731.48263891756957
729503417.8069627049411.0614432251525-294.77195071344-2.6750971702251
833003316.362389356768.4019530576844738.2858173675428-0.84426948505259
939503589.1538668886214.7190415364191232.539561509311.98224868092889
1039503790.4928141524119.259141112880669.06027858607371.39763571092033
1139003867.9461560769320.70166781342663.88770334524450.435346910382833
1237003801.8374070734818.5114007466775-59.8759155630978-0.648730598084529
1338503921.0343111670614.6361129896057-122.2765358051570.877664454728058
1443504035.851769992316.863105591943271.0046752909250.7155074769279
1543504251.5222224570424.523093792998320.9635058824051.33560838240991
1635503967.1336173694512.9978521791954-290.551722414325-2.17046791887581
1738003918.6483512619811.016460994093-92.2249400087216-0.447314347567689
1841503866.731349979729.235672612501310.889807575463-0.464219675301976
1935003819.186025791997.74186318137388-294.093023516178-0.420478198126821
2038503860.214287168278.59703935087848-24.9460025951460.246621709978309
2142503970.4125846322511.2143225146865234.6376955206140.752395547146113
2241504048.7479043409912.953046252295871.5796218567410.496657928750018
2342004121.8367625852714.46924149545251.59016879102450.444444755202502
2441004180.444955823815.4192562417734-99.98059725643520.326299198877765
2542004277.8748690570916.1788591684884-115.0354530010530.630902832575176
2643504233.7998168516714.7537154229676142.2362060787-0.440432308513083
2741504125.0673849820610.696945321330375.3504820065632-0.866572044100888
2842004256.6017713035814.8876952225546-106.1762493868490.8560931079089
2938504129.2687066705310.1668436717404-219.530212253188-1.02730537754525
3041003964.557026881544.71506450618601210.053322231675-1.27736242501137
3138004009.343992320045.90660892689953-226.5545718734530.293908863069462
3242504150.774661801629.8349886194993340.89652334807950.994959665915348
3344004197.3642605780710.8873167368231186.8123526446780.269771995108282
3444004281.696034030412.959743263533486.69914332555560.538580907751079
3544504363.3119299073614.827274106384357.1636658241360.502838356076419
3640504304.1965492934212.9701545173505-222.363965951361-0.542413749596078
3741004248.6334264969711.4152486185751-118.86679816004-0.508838266808038
3844504251.4146191600711.1796788150035202.273506304933-0.0629977560537511
3946004384.2205735247215.0276013683539165.2643727168640.868444053121444
4041004292.2997558268811.4648061523482-148.080554229692-0.763512538310651
4143004351.8343157872213.0570145794662-71.92238135785010.346620913829639
4248504500.6526149237217.4338294114438292.0276155091420.986776824801842
4338004356.2874088932112.3591337303007-487.601621630969-1.18027407860076
4444504378.6573671750112.666637594282967.0846961845110.0730879918071644
4548004501.7105729878516.0032772413432251.3311057164590.8055448528309
4649004663.0018644302220.3186092427687175.2365414403651.05906759396644
4749004751.4372851624622.2918045828027119.6289587864810.496122656422949
4843504687.9205227822919.8825499205968-301.435328780764-0.626067179626893
4945004666.7715645479418.7449020619803-149.261594811965-0.300680851037784
5050504767.4874412651521.1645026380709247.7731113939780.596323605327469
5151504865.4728875223223.5876188377446252.4287468248220.552492179064148
5244504788.6541021327320.3128582702709-296.909546389509-0.720576716806047
5349004881.8485955336722.7006944031352-12.29078615740240.525710067687799
5454504990.777267552225.4955732109193422.9713036996930.625356100720421
5541004857.041786877120.4128884222069-689.825845463225-1.15807009259574
5650504933.7599979583822.183921389073692.43797334501480.409724334487187
5755505136.2698254568927.7801185076502337.5171897237021.31124231624657
5854505239.4189721670530.0873813958954178.7566028524870.547437122763244
5955005309.2650508240931.2869151098718173.9571104220270.288672242996395
6049505307.6534422630830.3060589879763-343.756790865287-0.23923090511309
6154005442.9979185567233.4431581916043-87.45098769546950.765350027313466
6257505510.1091896078634.4757465681851225.6883815299140.244455366417536
6359505599.7581850077536.2212087700083327.1424462443970.398074616811555
6459505917.980271424245.3163474096931-85.59924953045032.03045015790389
6557505919.497732204343.8960659893709-151.193404164663-0.316186853480714
6664505962.7176630294843.8742273601391487.566055181856-0.00489868141059226
6750005896.4794889815340.3471245498277-850.139995657603-0.79945058333894
6859505929.4176050260740.112042686874923.7033329074815-0.0538066029660958
6962505959.4972301427239.7967166498859294.726806930243-0.0727981475815017
7063006055.5147016272341.5476976906066220.836773843350.407554142998917
7164006158.4426571989543.4439334137119215.7488137699740.444906039428217
7257006167.3610014149242.382233892665-452.830869320887-0.250568540770782
7357506065.5387310119337.9342739617333-254.776947634-1.04776523403767
7464506165.8250559991439.8819896362086257.9453810257730.452195002629531
7565006249.5348226345341.2719766702675232.1057194357780.316694126407005
7659506177.0225030519237.6246210900979-179.482580948767-0.820893605937842
7762006251.7810953200238.8197706945933-67.30884122560910.268272546413271
7867506261.3980304985337.8811180704302500.844388871646-0.211476955425259
7953006232.6182922452835.7479816054479-904.616270449785-0.483459596796328
8064506329.8073822381837.702736213239494.36801670378780.445652761146254
8169006488.0054221906641.5130973521211361.3763757716190.873306917595916
8268006571.766313228742.8414948289983210.5011566309920.30595282176816
8367506571.9588832017641.5064743851551195.937653071703-0.308863319394583
8460506539.2151700535739.1866185194862-458.034116775178-0.538246628661097
8561006488.2421083053236.3633692755262-350.347517136555-0.654073762733823
8674006775.4325711378544.2682591757361519.2338029410941.81776377617132
8773006932.5961326878347.8536252862997320.1104603356260.816372752160939
8862006744.5367730523140.31769434406-445.882028510534-1.70402143277182
8965506679.795653783836.9529890482992-85.8473419367822-0.759416183664855
9075006817.3513493119840.1738253736452640.4967450616040.728345345379004
9154006655.8552643670333.7325249791342-1171.24013231828-1.46158903614356
9267506676.3324204125233.310589268486479.2311627043228-0.0960698660606757
9374006849.7602132226337.7542211444254491.4597015646681.01484188985222
9474507038.762355676742.5345308278192347.8324149549271.09478404141264
9572007052.3585917158541.6221781049087159.770945102469-0.209478514445374
9665007033.7215676781839.7239030920693-508.448507063221-0.436526364199901
9771507295.8391655501346.7395158103121-239.1710890343861.61191913566718
9880007430.3801133066849.5186183472602532.7890131123730.636009434380663
9970007101.5953761127637.496595407397156.8598922482165-2.73662341393016
10076007460.4224976050147.74043270744855.141609113552872.32266860649741
10171007415.2919377737844.7751234345474-276.432726302902-0.671574670621606
10280507392.9900494599142.6334972549552685.105139923113-0.485552225599546
10357007199.8111030702835.1139280252445-1400.948647012-1.70822369420806
10475507343.0659430390938.5555947083908161.5870199952030.783363512096353
10578007390.0705415826138.8239040562714406.3880472126890.0611717618662538
10678007435.1984177513239.0236964940115362.1606960769130.0456204018539856
10782507737.3614764232247.351885905295402.4133870904471.90440812237593
10871507803.6076081413747.9496495561415-661.5257557442520.136816692979864
10973507742.2651551384244.4891033244365-346.442066992522-0.791712102087646
11078007501.1581660687935.429936969099418.555461704438-2.06814015009992
11182507832.8374026841444.8469158309008293.0971809494842.14345475791502
11275007722.7553261032839.9136619169259-157.922920386469-1.12035743791055
11381507999.2946841750947.455142919586351.6829497102531.71153751337757
11485507959.5748695224344.6766940400895626.929799837011-0.630974401388777

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3300 & 3300 & 0 & 0 & 0 \tabularnewline
2 & 4100 & 3748.25225186808 & 26.3497937263429 & 185.163225611629 & 2.64996789724854 \tabularnewline
3 & 3550 & 3698.60868716674 & 21.5115008412961 & -121.832815755808 & -0.457856186946152 \tabularnewline
4 & 3650 & 3669.5859089376 & 19.1975136344672 & 2.38385333040239 & -0.353523564926321 \tabularnewline
5 & 3400 & 3542.03289775761 & 14.4344348447133 & -72.8712575218134 & -1.08235300835336 \tabularnewline
6 & 4050 & 3754.65187617855 & 19.6249729849408 & 199.719240389273 & 1.48263891756957 \tabularnewline
7 & 2950 & 3417.80696270494 & 11.0614432251525 & -294.77195071344 & -2.6750971702251 \tabularnewline
8 & 3300 & 3316.36238935676 & 8.40195305768447 & 38.2858173675428 & -0.84426948505259 \tabularnewline
9 & 3950 & 3589.15386688862 & 14.7190415364191 & 232.53956150931 & 1.98224868092889 \tabularnewline
10 & 3950 & 3790.49281415241 & 19.2591411128806 & 69.0602785860737 & 1.39763571092033 \tabularnewline
11 & 3900 & 3867.94615607693 & 20.7016678134266 & 3.8877033452445 & 0.435346910382833 \tabularnewline
12 & 3700 & 3801.83740707348 & 18.5114007466775 & -59.8759155630978 & -0.648730598084529 \tabularnewline
13 & 3850 & 3921.03431116706 & 14.6361129896057 & -122.276535805157 & 0.877664454728058 \tabularnewline
14 & 4350 & 4035.8517699923 & 16.863105591943 & 271.004675290925 & 0.7155074769279 \tabularnewline
15 & 4350 & 4251.52222245704 & 24.5230937929983 & 20.963505882405 & 1.33560838240991 \tabularnewline
16 & 3550 & 3967.13361736945 & 12.9978521791954 & -290.551722414325 & -2.17046791887581 \tabularnewline
17 & 3800 & 3918.64835126198 & 11.016460994093 & -92.2249400087216 & -0.447314347567689 \tabularnewline
18 & 4150 & 3866.73134997972 & 9.235672612501 & 310.889807575463 & -0.464219675301976 \tabularnewline
19 & 3500 & 3819.18602579199 & 7.74186318137388 & -294.093023516178 & -0.420478198126821 \tabularnewline
20 & 3850 & 3860.21428716827 & 8.59703935087848 & -24.946002595146 & 0.246621709978309 \tabularnewline
21 & 4250 & 3970.41258463225 & 11.2143225146865 & 234.637695520614 & 0.752395547146113 \tabularnewline
22 & 4150 & 4048.74790434099 & 12.9530462522958 & 71.579621856741 & 0.496657928750018 \tabularnewline
23 & 4200 & 4121.83676258527 & 14.469241495452 & 51.5901687910245 & 0.444444755202502 \tabularnewline
24 & 4100 & 4180.4449558238 & 15.4192562417734 & -99.9805972564352 & 0.326299198877765 \tabularnewline
25 & 4200 & 4277.87486905709 & 16.1788591684884 & -115.035453001053 & 0.630902832575176 \tabularnewline
26 & 4350 & 4233.79981685167 & 14.7537154229676 & 142.2362060787 & -0.440432308513083 \tabularnewline
27 & 4150 & 4125.06738498206 & 10.6969453213303 & 75.3504820065632 & -0.866572044100888 \tabularnewline
28 & 4200 & 4256.60177130358 & 14.8876952225546 & -106.176249386849 & 0.8560931079089 \tabularnewline
29 & 3850 & 4129.26870667053 & 10.1668436717404 & -219.530212253188 & -1.02730537754525 \tabularnewline
30 & 4100 & 3964.55702688154 & 4.71506450618601 & 210.053322231675 & -1.27736242501137 \tabularnewline
31 & 3800 & 4009.34399232004 & 5.90660892689953 & -226.554571873453 & 0.293908863069462 \tabularnewline
32 & 4250 & 4150.77466180162 & 9.83498861949933 & 40.8965233480795 & 0.994959665915348 \tabularnewline
33 & 4400 & 4197.36426057807 & 10.8873167368231 & 186.812352644678 & 0.269771995108282 \tabularnewline
34 & 4400 & 4281.6960340304 & 12.9597432635334 & 86.6991433255556 & 0.538580907751079 \tabularnewline
35 & 4450 & 4363.31192990736 & 14.8272741063843 & 57.163665824136 & 0.502838356076419 \tabularnewline
36 & 4050 & 4304.19654929342 & 12.9701545173505 & -222.363965951361 & -0.542413749596078 \tabularnewline
37 & 4100 & 4248.63342649697 & 11.4152486185751 & -118.86679816004 & -0.508838266808038 \tabularnewline
38 & 4450 & 4251.41461916007 & 11.1796788150035 & 202.273506304933 & -0.0629977560537511 \tabularnewline
39 & 4600 & 4384.22057352472 & 15.0276013683539 & 165.264372716864 & 0.868444053121444 \tabularnewline
40 & 4100 & 4292.29975582688 & 11.4648061523482 & -148.080554229692 & -0.763512538310651 \tabularnewline
41 & 4300 & 4351.83431578722 & 13.0570145794662 & -71.9223813578501 & 0.346620913829639 \tabularnewline
42 & 4850 & 4500.65261492372 & 17.4338294114438 & 292.027615509142 & 0.986776824801842 \tabularnewline
43 & 3800 & 4356.28740889321 & 12.3591337303007 & -487.601621630969 & -1.18027407860076 \tabularnewline
44 & 4450 & 4378.65736717501 & 12.6666375942829 & 67.084696184511 & 0.0730879918071644 \tabularnewline
45 & 4800 & 4501.71057298785 & 16.0032772413432 & 251.331105716459 & 0.8055448528309 \tabularnewline
46 & 4900 & 4663.00186443022 & 20.3186092427687 & 175.236541440365 & 1.05906759396644 \tabularnewline
47 & 4900 & 4751.43728516246 & 22.2918045828027 & 119.628958786481 & 0.496122656422949 \tabularnewline
48 & 4350 & 4687.92052278229 & 19.8825499205968 & -301.435328780764 & -0.626067179626893 \tabularnewline
49 & 4500 & 4666.77156454794 & 18.7449020619803 & -149.261594811965 & -0.300680851037784 \tabularnewline
50 & 5050 & 4767.48744126515 & 21.1645026380709 & 247.773111393978 & 0.596323605327469 \tabularnewline
51 & 5150 & 4865.47288752232 & 23.5876188377446 & 252.428746824822 & 0.552492179064148 \tabularnewline
52 & 4450 & 4788.65410213273 & 20.3128582702709 & -296.909546389509 & -0.720576716806047 \tabularnewline
53 & 4900 & 4881.84859553367 & 22.7006944031352 & -12.2907861574024 & 0.525710067687799 \tabularnewline
54 & 5450 & 4990.7772675522 & 25.4955732109193 & 422.971303699693 & 0.625356100720421 \tabularnewline
55 & 4100 & 4857.0417868771 & 20.4128884222069 & -689.825845463225 & -1.15807009259574 \tabularnewline
56 & 5050 & 4933.75999795838 & 22.1839213890736 & 92.4379733450148 & 0.409724334487187 \tabularnewline
57 & 5550 & 5136.26982545689 & 27.7801185076502 & 337.517189723702 & 1.31124231624657 \tabularnewline
58 & 5450 & 5239.41897216705 & 30.0873813958954 & 178.756602852487 & 0.547437122763244 \tabularnewline
59 & 5500 & 5309.26505082409 & 31.2869151098718 & 173.957110422027 & 0.288672242996395 \tabularnewline
60 & 4950 & 5307.65344226308 & 30.3060589879763 & -343.756790865287 & -0.23923090511309 \tabularnewline
61 & 5400 & 5442.99791855672 & 33.4431581916043 & -87.4509876954695 & 0.765350027313466 \tabularnewline
62 & 5750 & 5510.10918960786 & 34.4757465681851 & 225.688381529914 & 0.244455366417536 \tabularnewline
63 & 5950 & 5599.75818500775 & 36.2212087700083 & 327.142446244397 & 0.398074616811555 \tabularnewline
64 & 5950 & 5917.9802714242 & 45.3163474096931 & -85.5992495304503 & 2.03045015790389 \tabularnewline
65 & 5750 & 5919.4977322043 & 43.8960659893709 & -151.193404164663 & -0.316186853480714 \tabularnewline
66 & 6450 & 5962.71766302948 & 43.8742273601391 & 487.566055181856 & -0.00489868141059226 \tabularnewline
67 & 5000 & 5896.47948898153 & 40.3471245498277 & -850.139995657603 & -0.79945058333894 \tabularnewline
68 & 5950 & 5929.41760502607 & 40.1120426868749 & 23.7033329074815 & -0.0538066029660958 \tabularnewline
69 & 6250 & 5959.49723014272 & 39.7967166498859 & 294.726806930243 & -0.0727981475815017 \tabularnewline
70 & 6300 & 6055.51470162723 & 41.5476976906066 & 220.83677384335 & 0.407554142998917 \tabularnewline
71 & 6400 & 6158.44265719895 & 43.4439334137119 & 215.748813769974 & 0.444906039428217 \tabularnewline
72 & 5700 & 6167.36100141492 & 42.382233892665 & -452.830869320887 & -0.250568540770782 \tabularnewline
73 & 5750 & 6065.53873101193 & 37.9342739617333 & -254.776947634 & -1.04776523403767 \tabularnewline
74 & 6450 & 6165.82505599914 & 39.8819896362086 & 257.945381025773 & 0.452195002629531 \tabularnewline
75 & 6500 & 6249.53482263453 & 41.2719766702675 & 232.105719435778 & 0.316694126407005 \tabularnewline
76 & 5950 & 6177.02250305192 & 37.6246210900979 & -179.482580948767 & -0.820893605937842 \tabularnewline
77 & 6200 & 6251.78109532002 & 38.8197706945933 & -67.3088412256091 & 0.268272546413271 \tabularnewline
78 & 6750 & 6261.39803049853 & 37.8811180704302 & 500.844388871646 & -0.211476955425259 \tabularnewline
79 & 5300 & 6232.61829224528 & 35.7479816054479 & -904.616270449785 & -0.483459596796328 \tabularnewline
80 & 6450 & 6329.80738223818 & 37.7027362132394 & 94.3680167037878 & 0.445652761146254 \tabularnewline
81 & 6900 & 6488.00542219066 & 41.5130973521211 & 361.376375771619 & 0.873306917595916 \tabularnewline
82 & 6800 & 6571.7663132287 & 42.8414948289983 & 210.501156630992 & 0.30595282176816 \tabularnewline
83 & 6750 & 6571.95888320176 & 41.5064743851551 & 195.937653071703 & -0.308863319394583 \tabularnewline
84 & 6050 & 6539.21517005357 & 39.1866185194862 & -458.034116775178 & -0.538246628661097 \tabularnewline
85 & 6100 & 6488.24210830532 & 36.3633692755262 & -350.347517136555 & -0.654073762733823 \tabularnewline
86 & 7400 & 6775.43257113785 & 44.2682591757361 & 519.233802941094 & 1.81776377617132 \tabularnewline
87 & 7300 & 6932.59613268783 & 47.8536252862997 & 320.110460335626 & 0.816372752160939 \tabularnewline
88 & 6200 & 6744.53677305231 & 40.31769434406 & -445.882028510534 & -1.70402143277182 \tabularnewline
89 & 6550 & 6679.7956537838 & 36.9529890482992 & -85.8473419367822 & -0.759416183664855 \tabularnewline
90 & 7500 & 6817.35134931198 & 40.1738253736452 & 640.496745061604 & 0.728345345379004 \tabularnewline
91 & 5400 & 6655.85526436703 & 33.7325249791342 & -1171.24013231828 & -1.46158903614356 \tabularnewline
92 & 6750 & 6676.33242041252 & 33.3105892684864 & 79.2311627043228 & -0.0960698660606757 \tabularnewline
93 & 7400 & 6849.76021322263 & 37.7542211444254 & 491.459701564668 & 1.01484188985222 \tabularnewline
94 & 7450 & 7038.7623556767 & 42.5345308278192 & 347.832414954927 & 1.09478404141264 \tabularnewline
95 & 7200 & 7052.35859171585 & 41.6221781049087 & 159.770945102469 & -0.209478514445374 \tabularnewline
96 & 6500 & 7033.72156767818 & 39.7239030920693 & -508.448507063221 & -0.436526364199901 \tabularnewline
97 & 7150 & 7295.83916555013 & 46.7395158103121 & -239.171089034386 & 1.61191913566718 \tabularnewline
98 & 8000 & 7430.38011330668 & 49.5186183472602 & 532.789013112373 & 0.636009434380663 \tabularnewline
99 & 7000 & 7101.59537611276 & 37.4965954073971 & 56.8598922482165 & -2.73662341393016 \tabularnewline
100 & 7600 & 7460.42249760501 & 47.7404327074485 & 5.14160911355287 & 2.32266860649741 \tabularnewline
101 & 7100 & 7415.29193777378 & 44.7751234345474 & -276.432726302902 & -0.671574670621606 \tabularnewline
102 & 8050 & 7392.99004945991 & 42.6334972549552 & 685.105139923113 & -0.485552225599546 \tabularnewline
103 & 5700 & 7199.81110307028 & 35.1139280252445 & -1400.948647012 & -1.70822369420806 \tabularnewline
104 & 7550 & 7343.06594303909 & 38.5555947083908 & 161.587019995203 & 0.783363512096353 \tabularnewline
105 & 7800 & 7390.07054158261 & 38.8239040562714 & 406.388047212689 & 0.0611717618662538 \tabularnewline
106 & 7800 & 7435.19841775132 & 39.0236964940115 & 362.160696076913 & 0.0456204018539856 \tabularnewline
107 & 8250 & 7737.36147642322 & 47.351885905295 & 402.413387090447 & 1.90440812237593 \tabularnewline
108 & 7150 & 7803.60760814137 & 47.9496495561415 & -661.525755744252 & 0.136816692979864 \tabularnewline
109 & 7350 & 7742.26515513842 & 44.4891033244365 & -346.442066992522 & -0.791712102087646 \tabularnewline
110 & 7800 & 7501.15816606879 & 35.429936969099 & 418.555461704438 & -2.06814015009992 \tabularnewline
111 & 8250 & 7832.83740268414 & 44.8469158309008 & 293.097180949484 & 2.14345475791502 \tabularnewline
112 & 7500 & 7722.75532610328 & 39.9136619169259 & -157.922920386469 & -1.12035743791055 \tabularnewline
113 & 8150 & 7999.29468417509 & 47.4551429195863 & 51.682949710253 & 1.71153751337757 \tabularnewline
114 & 8550 & 7959.57486952243 & 44.6766940400895 & 626.929799837011 & -0.630974401388777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300018&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]3300[/C][C]3300[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]4100[/C][C]3748.25225186808[/C][C]26.3497937263429[/C][C]185.163225611629[/C][C]2.64996789724854[/C][/ROW]
[ROW][C]3[/C][C]3550[/C][C]3698.60868716674[/C][C]21.5115008412961[/C][C]-121.832815755808[/C][C]-0.457856186946152[/C][/ROW]
[ROW][C]4[/C][C]3650[/C][C]3669.5859089376[/C][C]19.1975136344672[/C][C]2.38385333040239[/C][C]-0.353523564926321[/C][/ROW]
[ROW][C]5[/C][C]3400[/C][C]3542.03289775761[/C][C]14.4344348447133[/C][C]-72.8712575218134[/C][C]-1.08235300835336[/C][/ROW]
[ROW][C]6[/C][C]4050[/C][C]3754.65187617855[/C][C]19.6249729849408[/C][C]199.719240389273[/C][C]1.48263891756957[/C][/ROW]
[ROW][C]7[/C][C]2950[/C][C]3417.80696270494[/C][C]11.0614432251525[/C][C]-294.77195071344[/C][C]-2.6750971702251[/C][/ROW]
[ROW][C]8[/C][C]3300[/C][C]3316.36238935676[/C][C]8.40195305768447[/C][C]38.2858173675428[/C][C]-0.84426948505259[/C][/ROW]
[ROW][C]9[/C][C]3950[/C][C]3589.15386688862[/C][C]14.7190415364191[/C][C]232.53956150931[/C][C]1.98224868092889[/C][/ROW]
[ROW][C]10[/C][C]3950[/C][C]3790.49281415241[/C][C]19.2591411128806[/C][C]69.0602785860737[/C][C]1.39763571092033[/C][/ROW]
[ROW][C]11[/C][C]3900[/C][C]3867.94615607693[/C][C]20.7016678134266[/C][C]3.8877033452445[/C][C]0.435346910382833[/C][/ROW]
[ROW][C]12[/C][C]3700[/C][C]3801.83740707348[/C][C]18.5114007466775[/C][C]-59.8759155630978[/C][C]-0.648730598084529[/C][/ROW]
[ROW][C]13[/C][C]3850[/C][C]3921.03431116706[/C][C]14.6361129896057[/C][C]-122.276535805157[/C][C]0.877664454728058[/C][/ROW]
[ROW][C]14[/C][C]4350[/C][C]4035.8517699923[/C][C]16.863105591943[/C][C]271.004675290925[/C][C]0.7155074769279[/C][/ROW]
[ROW][C]15[/C][C]4350[/C][C]4251.52222245704[/C][C]24.5230937929983[/C][C]20.963505882405[/C][C]1.33560838240991[/C][/ROW]
[ROW][C]16[/C][C]3550[/C][C]3967.13361736945[/C][C]12.9978521791954[/C][C]-290.551722414325[/C][C]-2.17046791887581[/C][/ROW]
[ROW][C]17[/C][C]3800[/C][C]3918.64835126198[/C][C]11.016460994093[/C][C]-92.2249400087216[/C][C]-0.447314347567689[/C][/ROW]
[ROW][C]18[/C][C]4150[/C][C]3866.73134997972[/C][C]9.235672612501[/C][C]310.889807575463[/C][C]-0.464219675301976[/C][/ROW]
[ROW][C]19[/C][C]3500[/C][C]3819.18602579199[/C][C]7.74186318137388[/C][C]-294.093023516178[/C][C]-0.420478198126821[/C][/ROW]
[ROW][C]20[/C][C]3850[/C][C]3860.21428716827[/C][C]8.59703935087848[/C][C]-24.946002595146[/C][C]0.246621709978309[/C][/ROW]
[ROW][C]21[/C][C]4250[/C][C]3970.41258463225[/C][C]11.2143225146865[/C][C]234.637695520614[/C][C]0.752395547146113[/C][/ROW]
[ROW][C]22[/C][C]4150[/C][C]4048.74790434099[/C][C]12.9530462522958[/C][C]71.579621856741[/C][C]0.496657928750018[/C][/ROW]
[ROW][C]23[/C][C]4200[/C][C]4121.83676258527[/C][C]14.469241495452[/C][C]51.5901687910245[/C][C]0.444444755202502[/C][/ROW]
[ROW][C]24[/C][C]4100[/C][C]4180.4449558238[/C][C]15.4192562417734[/C][C]-99.9805972564352[/C][C]0.326299198877765[/C][/ROW]
[ROW][C]25[/C][C]4200[/C][C]4277.87486905709[/C][C]16.1788591684884[/C][C]-115.035453001053[/C][C]0.630902832575176[/C][/ROW]
[ROW][C]26[/C][C]4350[/C][C]4233.79981685167[/C][C]14.7537154229676[/C][C]142.2362060787[/C][C]-0.440432308513083[/C][/ROW]
[ROW][C]27[/C][C]4150[/C][C]4125.06738498206[/C][C]10.6969453213303[/C][C]75.3504820065632[/C][C]-0.866572044100888[/C][/ROW]
[ROW][C]28[/C][C]4200[/C][C]4256.60177130358[/C][C]14.8876952225546[/C][C]-106.176249386849[/C][C]0.8560931079089[/C][/ROW]
[ROW][C]29[/C][C]3850[/C][C]4129.26870667053[/C][C]10.1668436717404[/C][C]-219.530212253188[/C][C]-1.02730537754525[/C][/ROW]
[ROW][C]30[/C][C]4100[/C][C]3964.55702688154[/C][C]4.71506450618601[/C][C]210.053322231675[/C][C]-1.27736242501137[/C][/ROW]
[ROW][C]31[/C][C]3800[/C][C]4009.34399232004[/C][C]5.90660892689953[/C][C]-226.554571873453[/C][C]0.293908863069462[/C][/ROW]
[ROW][C]32[/C][C]4250[/C][C]4150.77466180162[/C][C]9.83498861949933[/C][C]40.8965233480795[/C][C]0.994959665915348[/C][/ROW]
[ROW][C]33[/C][C]4400[/C][C]4197.36426057807[/C][C]10.8873167368231[/C][C]186.812352644678[/C][C]0.269771995108282[/C][/ROW]
[ROW][C]34[/C][C]4400[/C][C]4281.6960340304[/C][C]12.9597432635334[/C][C]86.6991433255556[/C][C]0.538580907751079[/C][/ROW]
[ROW][C]35[/C][C]4450[/C][C]4363.31192990736[/C][C]14.8272741063843[/C][C]57.163665824136[/C][C]0.502838356076419[/C][/ROW]
[ROW][C]36[/C][C]4050[/C][C]4304.19654929342[/C][C]12.9701545173505[/C][C]-222.363965951361[/C][C]-0.542413749596078[/C][/ROW]
[ROW][C]37[/C][C]4100[/C][C]4248.63342649697[/C][C]11.4152486185751[/C][C]-118.86679816004[/C][C]-0.508838266808038[/C][/ROW]
[ROW][C]38[/C][C]4450[/C][C]4251.41461916007[/C][C]11.1796788150035[/C][C]202.273506304933[/C][C]-0.0629977560537511[/C][/ROW]
[ROW][C]39[/C][C]4600[/C][C]4384.22057352472[/C][C]15.0276013683539[/C][C]165.264372716864[/C][C]0.868444053121444[/C][/ROW]
[ROW][C]40[/C][C]4100[/C][C]4292.29975582688[/C][C]11.4648061523482[/C][C]-148.080554229692[/C][C]-0.763512538310651[/C][/ROW]
[ROW][C]41[/C][C]4300[/C][C]4351.83431578722[/C][C]13.0570145794662[/C][C]-71.9223813578501[/C][C]0.346620913829639[/C][/ROW]
[ROW][C]42[/C][C]4850[/C][C]4500.65261492372[/C][C]17.4338294114438[/C][C]292.027615509142[/C][C]0.986776824801842[/C][/ROW]
[ROW][C]43[/C][C]3800[/C][C]4356.28740889321[/C][C]12.3591337303007[/C][C]-487.601621630969[/C][C]-1.18027407860076[/C][/ROW]
[ROW][C]44[/C][C]4450[/C][C]4378.65736717501[/C][C]12.6666375942829[/C][C]67.084696184511[/C][C]0.0730879918071644[/C][/ROW]
[ROW][C]45[/C][C]4800[/C][C]4501.71057298785[/C][C]16.0032772413432[/C][C]251.331105716459[/C][C]0.8055448528309[/C][/ROW]
[ROW][C]46[/C][C]4900[/C][C]4663.00186443022[/C][C]20.3186092427687[/C][C]175.236541440365[/C][C]1.05906759396644[/C][/ROW]
[ROW][C]47[/C][C]4900[/C][C]4751.43728516246[/C][C]22.2918045828027[/C][C]119.628958786481[/C][C]0.496122656422949[/C][/ROW]
[ROW][C]48[/C][C]4350[/C][C]4687.92052278229[/C][C]19.8825499205968[/C][C]-301.435328780764[/C][C]-0.626067179626893[/C][/ROW]
[ROW][C]49[/C][C]4500[/C][C]4666.77156454794[/C][C]18.7449020619803[/C][C]-149.261594811965[/C][C]-0.300680851037784[/C][/ROW]
[ROW][C]50[/C][C]5050[/C][C]4767.48744126515[/C][C]21.1645026380709[/C][C]247.773111393978[/C][C]0.596323605327469[/C][/ROW]
[ROW][C]51[/C][C]5150[/C][C]4865.47288752232[/C][C]23.5876188377446[/C][C]252.428746824822[/C][C]0.552492179064148[/C][/ROW]
[ROW][C]52[/C][C]4450[/C][C]4788.65410213273[/C][C]20.3128582702709[/C][C]-296.909546389509[/C][C]-0.720576716806047[/C][/ROW]
[ROW][C]53[/C][C]4900[/C][C]4881.84859553367[/C][C]22.7006944031352[/C][C]-12.2907861574024[/C][C]0.525710067687799[/C][/ROW]
[ROW][C]54[/C][C]5450[/C][C]4990.7772675522[/C][C]25.4955732109193[/C][C]422.971303699693[/C][C]0.625356100720421[/C][/ROW]
[ROW][C]55[/C][C]4100[/C][C]4857.0417868771[/C][C]20.4128884222069[/C][C]-689.825845463225[/C][C]-1.15807009259574[/C][/ROW]
[ROW][C]56[/C][C]5050[/C][C]4933.75999795838[/C][C]22.1839213890736[/C][C]92.4379733450148[/C][C]0.409724334487187[/C][/ROW]
[ROW][C]57[/C][C]5550[/C][C]5136.26982545689[/C][C]27.7801185076502[/C][C]337.517189723702[/C][C]1.31124231624657[/C][/ROW]
[ROW][C]58[/C][C]5450[/C][C]5239.41897216705[/C][C]30.0873813958954[/C][C]178.756602852487[/C][C]0.547437122763244[/C][/ROW]
[ROW][C]59[/C][C]5500[/C][C]5309.26505082409[/C][C]31.2869151098718[/C][C]173.957110422027[/C][C]0.288672242996395[/C][/ROW]
[ROW][C]60[/C][C]4950[/C][C]5307.65344226308[/C][C]30.3060589879763[/C][C]-343.756790865287[/C][C]-0.23923090511309[/C][/ROW]
[ROW][C]61[/C][C]5400[/C][C]5442.99791855672[/C][C]33.4431581916043[/C][C]-87.4509876954695[/C][C]0.765350027313466[/C][/ROW]
[ROW][C]62[/C][C]5750[/C][C]5510.10918960786[/C][C]34.4757465681851[/C][C]225.688381529914[/C][C]0.244455366417536[/C][/ROW]
[ROW][C]63[/C][C]5950[/C][C]5599.75818500775[/C][C]36.2212087700083[/C][C]327.142446244397[/C][C]0.398074616811555[/C][/ROW]
[ROW][C]64[/C][C]5950[/C][C]5917.9802714242[/C][C]45.3163474096931[/C][C]-85.5992495304503[/C][C]2.03045015790389[/C][/ROW]
[ROW][C]65[/C][C]5750[/C][C]5919.4977322043[/C][C]43.8960659893709[/C][C]-151.193404164663[/C][C]-0.316186853480714[/C][/ROW]
[ROW][C]66[/C][C]6450[/C][C]5962.71766302948[/C][C]43.8742273601391[/C][C]487.566055181856[/C][C]-0.00489868141059226[/C][/ROW]
[ROW][C]67[/C][C]5000[/C][C]5896.47948898153[/C][C]40.3471245498277[/C][C]-850.139995657603[/C][C]-0.79945058333894[/C][/ROW]
[ROW][C]68[/C][C]5950[/C][C]5929.41760502607[/C][C]40.1120426868749[/C][C]23.7033329074815[/C][C]-0.0538066029660958[/C][/ROW]
[ROW][C]69[/C][C]6250[/C][C]5959.49723014272[/C][C]39.7967166498859[/C][C]294.726806930243[/C][C]-0.0727981475815017[/C][/ROW]
[ROW][C]70[/C][C]6300[/C][C]6055.51470162723[/C][C]41.5476976906066[/C][C]220.83677384335[/C][C]0.407554142998917[/C][/ROW]
[ROW][C]71[/C][C]6400[/C][C]6158.44265719895[/C][C]43.4439334137119[/C][C]215.748813769974[/C][C]0.444906039428217[/C][/ROW]
[ROW][C]72[/C][C]5700[/C][C]6167.36100141492[/C][C]42.382233892665[/C][C]-452.830869320887[/C][C]-0.250568540770782[/C][/ROW]
[ROW][C]73[/C][C]5750[/C][C]6065.53873101193[/C][C]37.9342739617333[/C][C]-254.776947634[/C][C]-1.04776523403767[/C][/ROW]
[ROW][C]74[/C][C]6450[/C][C]6165.82505599914[/C][C]39.8819896362086[/C][C]257.945381025773[/C][C]0.452195002629531[/C][/ROW]
[ROW][C]75[/C][C]6500[/C][C]6249.53482263453[/C][C]41.2719766702675[/C][C]232.105719435778[/C][C]0.316694126407005[/C][/ROW]
[ROW][C]76[/C][C]5950[/C][C]6177.02250305192[/C][C]37.6246210900979[/C][C]-179.482580948767[/C][C]-0.820893605937842[/C][/ROW]
[ROW][C]77[/C][C]6200[/C][C]6251.78109532002[/C][C]38.8197706945933[/C][C]-67.3088412256091[/C][C]0.268272546413271[/C][/ROW]
[ROW][C]78[/C][C]6750[/C][C]6261.39803049853[/C][C]37.8811180704302[/C][C]500.844388871646[/C][C]-0.211476955425259[/C][/ROW]
[ROW][C]79[/C][C]5300[/C][C]6232.61829224528[/C][C]35.7479816054479[/C][C]-904.616270449785[/C][C]-0.483459596796328[/C][/ROW]
[ROW][C]80[/C][C]6450[/C][C]6329.80738223818[/C][C]37.7027362132394[/C][C]94.3680167037878[/C][C]0.445652761146254[/C][/ROW]
[ROW][C]81[/C][C]6900[/C][C]6488.00542219066[/C][C]41.5130973521211[/C][C]361.376375771619[/C][C]0.873306917595916[/C][/ROW]
[ROW][C]82[/C][C]6800[/C][C]6571.7663132287[/C][C]42.8414948289983[/C][C]210.501156630992[/C][C]0.30595282176816[/C][/ROW]
[ROW][C]83[/C][C]6750[/C][C]6571.95888320176[/C][C]41.5064743851551[/C][C]195.937653071703[/C][C]-0.308863319394583[/C][/ROW]
[ROW][C]84[/C][C]6050[/C][C]6539.21517005357[/C][C]39.1866185194862[/C][C]-458.034116775178[/C][C]-0.538246628661097[/C][/ROW]
[ROW][C]85[/C][C]6100[/C][C]6488.24210830532[/C][C]36.3633692755262[/C][C]-350.347517136555[/C][C]-0.654073762733823[/C][/ROW]
[ROW][C]86[/C][C]7400[/C][C]6775.43257113785[/C][C]44.2682591757361[/C][C]519.233802941094[/C][C]1.81776377617132[/C][/ROW]
[ROW][C]87[/C][C]7300[/C][C]6932.59613268783[/C][C]47.8536252862997[/C][C]320.110460335626[/C][C]0.816372752160939[/C][/ROW]
[ROW][C]88[/C][C]6200[/C][C]6744.53677305231[/C][C]40.31769434406[/C][C]-445.882028510534[/C][C]-1.70402143277182[/C][/ROW]
[ROW][C]89[/C][C]6550[/C][C]6679.7956537838[/C][C]36.9529890482992[/C][C]-85.8473419367822[/C][C]-0.759416183664855[/C][/ROW]
[ROW][C]90[/C][C]7500[/C][C]6817.35134931198[/C][C]40.1738253736452[/C][C]640.496745061604[/C][C]0.728345345379004[/C][/ROW]
[ROW][C]91[/C][C]5400[/C][C]6655.85526436703[/C][C]33.7325249791342[/C][C]-1171.24013231828[/C][C]-1.46158903614356[/C][/ROW]
[ROW][C]92[/C][C]6750[/C][C]6676.33242041252[/C][C]33.3105892684864[/C][C]79.2311627043228[/C][C]-0.0960698660606757[/C][/ROW]
[ROW][C]93[/C][C]7400[/C][C]6849.76021322263[/C][C]37.7542211444254[/C][C]491.459701564668[/C][C]1.01484188985222[/C][/ROW]
[ROW][C]94[/C][C]7450[/C][C]7038.7623556767[/C][C]42.5345308278192[/C][C]347.832414954927[/C][C]1.09478404141264[/C][/ROW]
[ROW][C]95[/C][C]7200[/C][C]7052.35859171585[/C][C]41.6221781049087[/C][C]159.770945102469[/C][C]-0.209478514445374[/C][/ROW]
[ROW][C]96[/C][C]6500[/C][C]7033.72156767818[/C][C]39.7239030920693[/C][C]-508.448507063221[/C][C]-0.436526364199901[/C][/ROW]
[ROW][C]97[/C][C]7150[/C][C]7295.83916555013[/C][C]46.7395158103121[/C][C]-239.171089034386[/C][C]1.61191913566718[/C][/ROW]
[ROW][C]98[/C][C]8000[/C][C]7430.38011330668[/C][C]49.5186183472602[/C][C]532.789013112373[/C][C]0.636009434380663[/C][/ROW]
[ROW][C]99[/C][C]7000[/C][C]7101.59537611276[/C][C]37.4965954073971[/C][C]56.8598922482165[/C][C]-2.73662341393016[/C][/ROW]
[ROW][C]100[/C][C]7600[/C][C]7460.42249760501[/C][C]47.7404327074485[/C][C]5.14160911355287[/C][C]2.32266860649741[/C][/ROW]
[ROW][C]101[/C][C]7100[/C][C]7415.29193777378[/C][C]44.7751234345474[/C][C]-276.432726302902[/C][C]-0.671574670621606[/C][/ROW]
[ROW][C]102[/C][C]8050[/C][C]7392.99004945991[/C][C]42.6334972549552[/C][C]685.105139923113[/C][C]-0.485552225599546[/C][/ROW]
[ROW][C]103[/C][C]5700[/C][C]7199.81110307028[/C][C]35.1139280252445[/C][C]-1400.948647012[/C][C]-1.70822369420806[/C][/ROW]
[ROW][C]104[/C][C]7550[/C][C]7343.06594303909[/C][C]38.5555947083908[/C][C]161.587019995203[/C][C]0.783363512096353[/C][/ROW]
[ROW][C]105[/C][C]7800[/C][C]7390.07054158261[/C][C]38.8239040562714[/C][C]406.388047212689[/C][C]0.0611717618662538[/C][/ROW]
[ROW][C]106[/C][C]7800[/C][C]7435.19841775132[/C][C]39.0236964940115[/C][C]362.160696076913[/C][C]0.0456204018539856[/C][/ROW]
[ROW][C]107[/C][C]8250[/C][C]7737.36147642322[/C][C]47.351885905295[/C][C]402.413387090447[/C][C]1.90440812237593[/C][/ROW]
[ROW][C]108[/C][C]7150[/C][C]7803.60760814137[/C][C]47.9496495561415[/C][C]-661.525755744252[/C][C]0.136816692979864[/C][/ROW]
[ROW][C]109[/C][C]7350[/C][C]7742.26515513842[/C][C]44.4891033244365[/C][C]-346.442066992522[/C][C]-0.791712102087646[/C][/ROW]
[ROW][C]110[/C][C]7800[/C][C]7501.15816606879[/C][C]35.429936969099[/C][C]418.555461704438[/C][C]-2.06814015009992[/C][/ROW]
[ROW][C]111[/C][C]8250[/C][C]7832.83740268414[/C][C]44.8469158309008[/C][C]293.097180949484[/C][C]2.14345475791502[/C][/ROW]
[ROW][C]112[/C][C]7500[/C][C]7722.75532610328[/C][C]39.9136619169259[/C][C]-157.922920386469[/C][C]-1.12035743791055[/C][/ROW]
[ROW][C]113[/C][C]8150[/C][C]7999.29468417509[/C][C]47.4551429195863[/C][C]51.682949710253[/C][C]1.71153751337757[/C][/ROW]
[ROW][C]114[/C][C]8550[/C][C]7959.57486952243[/C][C]44.6766940400895[/C][C]626.929799837011[/C][C]-0.630974401388777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300018&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300018&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
133003300000
241003748.2522518680826.3497937263429185.1632256116292.64996789724854
335503698.6086871667421.5115008412961-121.832815755808-0.457856186946152
436503669.585908937619.19751363446722.38385333040239-0.353523564926321
534003542.0328977576114.4344348447133-72.8712575218134-1.08235300835336
640503754.6518761785519.6249729849408199.7192403892731.48263891756957
729503417.8069627049411.0614432251525-294.77195071344-2.6750971702251
833003316.362389356768.4019530576844738.2858173675428-0.84426948505259
939503589.1538668886214.7190415364191232.539561509311.98224868092889
1039503790.4928141524119.259141112880669.06027858607371.39763571092033
1139003867.9461560769320.70166781342663.88770334524450.435346910382833
1237003801.8374070734818.5114007466775-59.8759155630978-0.648730598084529
1338503921.0343111670614.6361129896057-122.2765358051570.877664454728058
1443504035.851769992316.863105591943271.0046752909250.7155074769279
1543504251.5222224570424.523093792998320.9635058824051.33560838240991
1635503967.1336173694512.9978521791954-290.551722414325-2.17046791887581
1738003918.6483512619811.016460994093-92.2249400087216-0.447314347567689
1841503866.731349979729.235672612501310.889807575463-0.464219675301976
1935003819.186025791997.74186318137388-294.093023516178-0.420478198126821
2038503860.214287168278.59703935087848-24.9460025951460.246621709978309
2142503970.4125846322511.2143225146865234.6376955206140.752395547146113
2241504048.7479043409912.953046252295871.5796218567410.496657928750018
2342004121.8367625852714.46924149545251.59016879102450.444444755202502
2441004180.444955823815.4192562417734-99.98059725643520.326299198877765
2542004277.8748690570916.1788591684884-115.0354530010530.630902832575176
2643504233.7998168516714.7537154229676142.2362060787-0.440432308513083
2741504125.0673849820610.696945321330375.3504820065632-0.866572044100888
2842004256.6017713035814.8876952225546-106.1762493868490.8560931079089
2938504129.2687066705310.1668436717404-219.530212253188-1.02730537754525
3041003964.557026881544.71506450618601210.053322231675-1.27736242501137
3138004009.343992320045.90660892689953-226.5545718734530.293908863069462
3242504150.774661801629.8349886194993340.89652334807950.994959665915348
3344004197.3642605780710.8873167368231186.8123526446780.269771995108282
3444004281.696034030412.959743263533486.69914332555560.538580907751079
3544504363.3119299073614.827274106384357.1636658241360.502838356076419
3640504304.1965492934212.9701545173505-222.363965951361-0.542413749596078
3741004248.6334264969711.4152486185751-118.86679816004-0.508838266808038
3844504251.4146191600711.1796788150035202.273506304933-0.0629977560537511
3946004384.2205735247215.0276013683539165.2643727168640.868444053121444
4041004292.2997558268811.4648061523482-148.080554229692-0.763512538310651
4143004351.8343157872213.0570145794662-71.92238135785010.346620913829639
4248504500.6526149237217.4338294114438292.0276155091420.986776824801842
4338004356.2874088932112.3591337303007-487.601621630969-1.18027407860076
4444504378.6573671750112.666637594282967.0846961845110.0730879918071644
4548004501.7105729878516.0032772413432251.3311057164590.8055448528309
4649004663.0018644302220.3186092427687175.2365414403651.05906759396644
4749004751.4372851624622.2918045828027119.6289587864810.496122656422949
4843504687.9205227822919.8825499205968-301.435328780764-0.626067179626893
4945004666.7715645479418.7449020619803-149.261594811965-0.300680851037784
5050504767.4874412651521.1645026380709247.7731113939780.596323605327469
5151504865.4728875223223.5876188377446252.4287468248220.552492179064148
5244504788.6541021327320.3128582702709-296.909546389509-0.720576716806047
5349004881.8485955336722.7006944031352-12.29078615740240.525710067687799
5454504990.777267552225.4955732109193422.9713036996930.625356100720421
5541004857.041786877120.4128884222069-689.825845463225-1.15807009259574
5650504933.7599979583822.183921389073692.43797334501480.409724334487187
5755505136.2698254568927.7801185076502337.5171897237021.31124231624657
5854505239.4189721670530.0873813958954178.7566028524870.547437122763244
5955005309.2650508240931.2869151098718173.9571104220270.288672242996395
6049505307.6534422630830.3060589879763-343.756790865287-0.23923090511309
6154005442.9979185567233.4431581916043-87.45098769546950.765350027313466
6257505510.1091896078634.4757465681851225.6883815299140.244455366417536
6359505599.7581850077536.2212087700083327.1424462443970.398074616811555
6459505917.980271424245.3163474096931-85.59924953045032.03045015790389
6557505919.497732204343.8960659893709-151.193404164663-0.316186853480714
6664505962.7176630294843.8742273601391487.566055181856-0.00489868141059226
6750005896.4794889815340.3471245498277-850.139995657603-0.79945058333894
6859505929.4176050260740.112042686874923.7033329074815-0.0538066029660958
6962505959.4972301427239.7967166498859294.726806930243-0.0727981475815017
7063006055.5147016272341.5476976906066220.836773843350.407554142998917
7164006158.4426571989543.4439334137119215.7488137699740.444906039428217
7257006167.3610014149242.382233892665-452.830869320887-0.250568540770782
7357506065.5387310119337.9342739617333-254.776947634-1.04776523403767
7464506165.8250559991439.8819896362086257.9453810257730.452195002629531
7565006249.5348226345341.2719766702675232.1057194357780.316694126407005
7659506177.0225030519237.6246210900979-179.482580948767-0.820893605937842
7762006251.7810953200238.8197706945933-67.30884122560910.268272546413271
7867506261.3980304985337.8811180704302500.844388871646-0.211476955425259
7953006232.6182922452835.7479816054479-904.616270449785-0.483459596796328
8064506329.8073822381837.702736213239494.36801670378780.445652761146254
8169006488.0054221906641.5130973521211361.3763757716190.873306917595916
8268006571.766313228742.8414948289983210.5011566309920.30595282176816
8367506571.9588832017641.5064743851551195.937653071703-0.308863319394583
8460506539.2151700535739.1866185194862-458.034116775178-0.538246628661097
8561006488.2421083053236.3633692755262-350.347517136555-0.654073762733823
8674006775.4325711378544.2682591757361519.2338029410941.81776377617132
8773006932.5961326878347.8536252862997320.1104603356260.816372752160939
8862006744.5367730523140.31769434406-445.882028510534-1.70402143277182
8965506679.795653783836.9529890482992-85.8473419367822-0.759416183664855
9075006817.3513493119840.1738253736452640.4967450616040.728345345379004
9154006655.8552643670333.7325249791342-1171.24013231828-1.46158903614356
9267506676.3324204125233.310589268486479.2311627043228-0.0960698660606757
9374006849.7602132226337.7542211444254491.4597015646681.01484188985222
9474507038.762355676742.5345308278192347.8324149549271.09478404141264
9572007052.3585917158541.6221781049087159.770945102469-0.209478514445374
9665007033.7215676781839.7239030920693-508.448507063221-0.436526364199901
9771507295.8391655501346.7395158103121-239.1710890343861.61191913566718
9880007430.3801133066849.5186183472602532.7890131123730.636009434380663
9970007101.5953761127637.496595407397156.8598922482165-2.73662341393016
10076007460.4224976050147.74043270744855.141609113552872.32266860649741
10171007415.2919377737844.7751234345474-276.432726302902-0.671574670621606
10280507392.9900494599142.6334972549552685.105139923113-0.485552225599546
10357007199.8111030702835.1139280252445-1400.948647012-1.70822369420806
10475507343.0659430390938.5555947083908161.5870199952030.783363512096353
10578007390.0705415826138.8239040562714406.3880472126890.0611717618662538
10678007435.1984177513239.0236964940115362.1606960769130.0456204018539856
10782507737.3614764232247.351885905295402.4133870904471.90440812237593
10871507803.6076081413747.9496495561415-661.5257557442520.136816692979864
10973507742.2651551384244.4891033244365-346.442066992522-0.791712102087646
11078007501.1581660687935.429936969099418.555461704438-2.06814015009992
11182507832.8374026841444.8469158309008293.0971809494842.14345475791502
11275007722.7553261032839.9136619169259-157.922920386469-1.12035743791055
11381507999.2946841750947.455142919586351.6829497102531.71153751337757
11485507959.5748695224344.6766940400895626.929799837011-0.630974401388777







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
16505.138035307878015.4405795536-1510.30254424573
28170.896646114748062.6638126047108.232833510043
38463.148840843158109.8870456558353.261795187349
48419.750952445328157.1102787069262.640673738416
58666.415409581558204.333511758462.081897823546
67704.068555269518251.5567448091-547.48818953959
78067.398119141848298.7799778602-231.381858718362
88653.466688787918346.00321091131307.463477876606
98748.012149643478393.22644396241354.785705681068
108188.351864018548440.44967701351-252.097812994964
118579.027238636698487.6729100646191.3543285720791
129136.345836225258534.89614311571601.449693109537

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 6505.13803530787 & 8015.4405795536 & -1510.30254424573 \tabularnewline
2 & 8170.89664611474 & 8062.6638126047 & 108.232833510043 \tabularnewline
3 & 8463.14884084315 & 8109.8870456558 & 353.261795187349 \tabularnewline
4 & 8419.75095244532 & 8157.1102787069 & 262.640673738416 \tabularnewline
5 & 8666.41540958155 & 8204.333511758 & 462.081897823546 \tabularnewline
6 & 7704.06855526951 & 8251.5567448091 & -547.48818953959 \tabularnewline
7 & 8067.39811914184 & 8298.7799778602 & -231.381858718362 \tabularnewline
8 & 8653.46668878791 & 8346.00321091131 & 307.463477876606 \tabularnewline
9 & 8748.01214964347 & 8393.22644396241 & 354.785705681068 \tabularnewline
10 & 8188.35186401854 & 8440.44967701351 & -252.097812994964 \tabularnewline
11 & 8579.02723863669 & 8487.67291006461 & 91.3543285720791 \tabularnewline
12 & 9136.34583622525 & 8534.89614311571 & 601.449693109537 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300018&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]6505.13803530787[/C][C]8015.4405795536[/C][C]-1510.30254424573[/C][/ROW]
[ROW][C]2[/C][C]8170.89664611474[/C][C]8062.6638126047[/C][C]108.232833510043[/C][/ROW]
[ROW][C]3[/C][C]8463.14884084315[/C][C]8109.8870456558[/C][C]353.261795187349[/C][/ROW]
[ROW][C]4[/C][C]8419.75095244532[/C][C]8157.1102787069[/C][C]262.640673738416[/C][/ROW]
[ROW][C]5[/C][C]8666.41540958155[/C][C]8204.333511758[/C][C]462.081897823546[/C][/ROW]
[ROW][C]6[/C][C]7704.06855526951[/C][C]8251.5567448091[/C][C]-547.48818953959[/C][/ROW]
[ROW][C]7[/C][C]8067.39811914184[/C][C]8298.7799778602[/C][C]-231.381858718362[/C][/ROW]
[ROW][C]8[/C][C]8653.46668878791[/C][C]8346.00321091131[/C][C]307.463477876606[/C][/ROW]
[ROW][C]9[/C][C]8748.01214964347[/C][C]8393.22644396241[/C][C]354.785705681068[/C][/ROW]
[ROW][C]10[/C][C]8188.35186401854[/C][C]8440.44967701351[/C][C]-252.097812994964[/C][/ROW]
[ROW][C]11[/C][C]8579.02723863669[/C][C]8487.67291006461[/C][C]91.3543285720791[/C][/ROW]
[ROW][C]12[/C][C]9136.34583622525[/C][C]8534.89614311571[/C][C]601.449693109537[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300018&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300018&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
16505.138035307878015.4405795536-1510.30254424573
28170.896646114748062.6638126047108.232833510043
38463.148840843158109.8870456558353.261795187349
48419.750952445328157.1102787069262.640673738416
58666.415409581558204.333511758462.081897823546
67704.068555269518251.5567448091-547.48818953959
78067.398119141848298.7799778602-231.381858718362
88653.466688787918346.00321091131307.463477876606
98748.012149643478393.22644396241354.785705681068
108188.351864018548440.44967701351-252.097812994964
118579.027238636698487.6729100646191.3543285720791
129136.345836225258534.89614311571601.449693109537



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