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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 13:22:42 +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/t14811134691jyxlw6pya0hn3u.htm/, Retrieved Tue, 07 May 2024 15:48:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298043, Retrieved Tue, 07 May 2024 15:48:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural] [2016-12-07 12:22:42] [d42b2dfaed369a60e2334709a5cede2f] [Current]
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Dataseries X:
1800
2000
2200
2250
2400
2350
2350
2250
2250
2200
2150
2150
1900
2050
2100
2100
1900
1950
1900
1950
2000
2050
1900
2050
1750
1950
2250
2150
2250
2500
2250
2300
2550
2550
2600
2900
2400
2750
3300
3200
3150
3200
3200
3250
3600
3550
3600
3600
3300
3650
4200
3900
3950
4200
4300
4350
4650
4650
4450
4750
4300
4600
5350
4750
4900
4700
4500
4700
4700
4350
4400
4450
4050
4700
5050
4750
4800
4900
5000
5050
5400
5400
5350
5600
5200
6000
6650
6050
6050
6400
6400
6100
7050
6450
6250
6600
6000
6600
7400
6650
6250
6650




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298043&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298043&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298043&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
118001800000
220001929.418035516268.4495225106845558.64658301577651.26580687079862
322002103.1499380456925.26978434395882.77092423302641.65688589452575
422502206.7956430990435.123753244785535.08334426161420.895886949061529
524002331.0467769448248.22133514018459.69134264695641.01082776249209
623502367.7730078041346.3446982889428-16.6248784700889-0.126484643012192
723502366.3817940356738.0043994963338-11.7504258249619-0.514858751918451
822502299.9982257196218.9745157015195-40.0470999765597-1.11295129055726
922502253.948035603266.809666070839172.18426267733939-0.688476411553715
1022002206.4410194862-3.510693739534-1.35282991248178-0.572612213557566
1121502154.68687776828-12.7620718821661-0.186610044072474-0.50718650798464
1221502129.19878953956-15.215912465467821.9851849138415-0.133554068284271
1319002084.57043363946-20.6581694396965-181.933527950096-0.328208841073084
1420502075.60199650704-18.4154714744663-26.62298425814560.121437844512855
1521002061.0860685462-17.676504217600338.60409942595520.038044923194285
1621002077.81172661668-11.187605168281219.34463971555460.34807005536346
1719001947.38136837432-33.8389651204889-37.192988987006-1.23237470764201
1819501913.69437180583-33.809959556527636.29263844945350.00156628110323023
1919001871.89832639807-35.335107555222128.7806492890843-0.0819026538505745
2019501902.33834602791-22.781165103458142.07739516699250.673785101970886
2120001938.46203127626-11.541681408953656.53298057888450.603831386880687
2220501991.500073013660.77856981838087353.00999769862020.662305486095293
2319001947.56029844797-7.74329438220923-43.7636947620257-0.458237220907134
2420501976.92672372032-0.69188481856114169.9277969400620.380829430972652
2517501961.33493358586-3.51784677319598-210.057343776816-0.155991843714646
2619501968.22749541709-1.53375532512944-19.11406870894340.107455333983697
2722502100.8330221256223.8809116345763138.151796418111.34584872751275
2821502112.9591128725721.665016647042438.0076275755755-0.118608933587632
2922502213.3412731728436.535145021819530.06995167852570.805299056163874
3025002375.8832309714660.4267117556467113.5099523939841.2924852710229
3122502355.4105022536245.0656807977877-98.6205732551361-0.826970400836215
3223002331.292005076931.9329810126534-25.5034471603169-0.705213646042587
3325502436.3535836036345.8040090714144107.5362764590330.744571971130417
3425502487.3819602724646.794052544911562.18188073279160.0531668411753301
3526002598.822229758259.0286934866682-4.216673561574430.658142980320724
3629002754.9265998850877.381670375418136.9514945980780.992430491908988
3724002736.4505698705559.2378733300843-328.373018390096-0.987073273868476
3827502803.5718558742760.7326915768477-54.23335000205290.0806729399661184
3933003032.3277359867992.5068391665803253.7954325726141.69713345374254
4032003192.08920214163105.18201621032.374119761600160.679132240218194
4131503231.890110888492.8586717095121-76.4616049104466-0.665312979608624
4232003163.9930107596462.492861546650549.4320491040189-1.64220104898426
4332003234.102435070463.933702920533-34.73811242828330.0776932239025209
4432503304.4379797427765.1448068249418-54.97058902789160.0651029036007327
4536003442.0427930312178.8415716085373151.9450094820660.735217438363611
4635503530.8250623881180.718463854643118.35127416871430.100783541727095
4736003623.8445973794583.0386535376366-24.86444353853660.124879112006339
4836003557.5554752856254.875948552263354.8673939628598-1.52177510930131
4933003621.9314116850756.6698255608291-322.7247267162960.0971087718756703
5036503740.6083591772268.3889765017527-95.77116911543110.631470058118839
5142003899.3189474051385.434739298742293.2221251973130.913508853937436
5239003918.5262990561472.9630494592766-13.0727672583385-0.669090517492432
5339503963.7264868513367.7370090656675-11.4305317557086-0.281699828923943
5442004096.5745415267680.008236854796798.01667440142260.662907445552727
5543004277.3792411294299.027495590368714.24394360726381.02587785177166
5643504422.02182474775107.636227648722-75.8031993436920.46307491558431
5746504517.94658534673105.427540304999133.021498657423-0.118607203330838
5846504617.09731647612104.24502239847933.4208074063342-0.0635191031774227
5944504552.1267199321172.3885334770315-88.14525427502-1.71491368759093
6047504651.6484046213477.497553813047296.1031047140760.275785862432016
6143004695.5397576077371.1636295821325-392.748846536029-0.342094823848851
6246004739.71205727466.0738071544992-137.475067578476-0.274087995392834
6353504920.2119852575387.6327816532105420.3497012016691.15726988522277
6447504888.4812100622665.174746287651-128.655861533136-1.20603282926025
6549004942.9431774538863.1600730892724-42.0593276174268-0.108514385841721
6647004817.3300624515427.6347677001555-101.706064639222-1.91708502210896
6745004641.81883125807-10.6286187590527-124.992983272463-2.06331942844741
6847004681.86622218574-1.0815163320964213.94401507291030.513734918243867
6947004611.74617906164-14.081010228744393.9478576406041-0.698446026262868
7043504398.28970412761-51.5907941879293-31.8655165528837-2.01572084915241
7144004406.55373859183-40.3355454861854-11.4888987997170.60589229413069
7244504361.36125423332-41.249059704600189.0401070951749-0.0492690646032492
7340504389.61941436385-28.1667928010997-345.3709084927450.705685254481481
7447004648.0512831709425.793104686564528.26663502989132.90501736609812
7550504650.650482904321.4285901792942401.260385382371-0.234503082914551
7647504761.0396943641338.1535769671175-18.35846694297350.898779280488534
7748004771.4627505346932.942074641094830.8216366324797-0.280595698807064
7849004859.6207507561243.323079741698535.82079177461290.559735372706742
7950005030.2991149139267.2814322344878-40.82053801138721.29137790598627
8050505042.8152570290456.976887084732211.7036397354713-0.554585031531142
8154005156.3404539985667.6128518088171239.0022441967110.57173036634882
8254005355.9445552750992.423253507712433.19482285040871.33380444104297
8353505423.2256344612587.6989290064951-71.1554244169498-0.254303735085763
8456005545.800962283194.253565121220951.32268786957850.353284384976931
8552005661.5591289434298.2970778865504-463.3342127492980.217948615443641
8660005875.7077820585120.085513920293114.7382525063911.17288233363968
8766506164.56720284098151.816200422888471.5410860441141.70586587821473
8860506198.3924493028129.646359229068-138.690124292484-1.19194648433609
8960506168.4031598205299.6601725922135-105.266142244802-1.61418949357038
9064006329.53454891474111.20968732648565.39933460012370.622368800194938
9164006440.65904133738111.193673790029-40.6520160416991-0.000862796885970887
9261006324.4362324231168.4411128101365-205.69824000232-2.30106809310808
9370506624.06561319569111.891424808377406.9113906235452.3365232740744
9464506586.8754130257683.8848432996669-124.617009860424-1.5061097507759
9562506478.2479221984947.7281968699549-212.410590934694-1.9461421070069
9666006536.9342167750749.78656387800662.16328427920340.11089085474033
9760006564.0437832956945.525499170642-562.17503055402-0.229561344880428
9866006571.1082669581438.297469051052432.0592498231167-0.389065522284455
9974006738.4804688917262.5492743078807650.9027286252221.30428664746504
10066506775.5066612360357.7556599491192-123.408714075696-0.257809865857383
10162506584.7286938814611.086843256929-314.289980412802-2.51197473163141
10266506549.909490004862.46555690438217103.869412018088-0.46438332050258

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 1800 & 1800 & 0 & 0 & 0 \tabularnewline
2 & 2000 & 1929.41803551626 & 8.44952251068455 & 58.6465830157765 & 1.26580687079862 \tabularnewline
3 & 2200 & 2103.14993804569 & 25.269784343958 & 82.7709242330264 & 1.65688589452575 \tabularnewline
4 & 2250 & 2206.79564309904 & 35.1237532447855 & 35.0833442616142 & 0.895886949061529 \tabularnewline
5 & 2400 & 2331.04677694482 & 48.221335140184 & 59.6913426469564 & 1.01082776249209 \tabularnewline
6 & 2350 & 2367.77300780413 & 46.3446982889428 & -16.6248784700889 & -0.126484643012192 \tabularnewline
7 & 2350 & 2366.38179403567 & 38.0043994963338 & -11.7504258249619 & -0.514858751918451 \tabularnewline
8 & 2250 & 2299.99822571962 & 18.9745157015195 & -40.0470999765597 & -1.11295129055726 \tabularnewline
9 & 2250 & 2253.94803560326 & 6.80966607083917 & 2.18426267733939 & -0.688476411553715 \tabularnewline
10 & 2200 & 2206.4410194862 & -3.510693739534 & -1.35282991248178 & -0.572612213557566 \tabularnewline
11 & 2150 & 2154.68687776828 & -12.7620718821661 & -0.186610044072474 & -0.50718650798464 \tabularnewline
12 & 2150 & 2129.19878953956 & -15.2159124654678 & 21.9851849138415 & -0.133554068284271 \tabularnewline
13 & 1900 & 2084.57043363946 & -20.6581694396965 & -181.933527950096 & -0.328208841073084 \tabularnewline
14 & 2050 & 2075.60199650704 & -18.4154714744663 & -26.6229842581456 & 0.121437844512855 \tabularnewline
15 & 2100 & 2061.0860685462 & -17.6765042176003 & 38.6040994259552 & 0.038044923194285 \tabularnewline
16 & 2100 & 2077.81172661668 & -11.1876051682812 & 19.3446397155546 & 0.34807005536346 \tabularnewline
17 & 1900 & 1947.38136837432 & -33.8389651204889 & -37.192988987006 & -1.23237470764201 \tabularnewline
18 & 1950 & 1913.69437180583 & -33.8099595565276 & 36.2926384494535 & 0.00156628110323023 \tabularnewline
19 & 1900 & 1871.89832639807 & -35.3351075552221 & 28.7806492890843 & -0.0819026538505745 \tabularnewline
20 & 1950 & 1902.33834602791 & -22.7811651034581 & 42.0773951669925 & 0.673785101970886 \tabularnewline
21 & 2000 & 1938.46203127626 & -11.5416814089536 & 56.5329805788845 & 0.603831386880687 \tabularnewline
22 & 2050 & 1991.50007301366 & 0.778569818380873 & 53.0099976986202 & 0.662305486095293 \tabularnewline
23 & 1900 & 1947.56029844797 & -7.74329438220923 & -43.7636947620257 & -0.458237220907134 \tabularnewline
24 & 2050 & 1976.92672372032 & -0.691884818561141 & 69.927796940062 & 0.380829430972652 \tabularnewline
25 & 1750 & 1961.33493358586 & -3.51784677319598 & -210.057343776816 & -0.155991843714646 \tabularnewline
26 & 1950 & 1968.22749541709 & -1.53375532512944 & -19.1140687089434 & 0.107455333983697 \tabularnewline
27 & 2250 & 2100.83302212562 & 23.8809116345763 & 138.15179641811 & 1.34584872751275 \tabularnewline
28 & 2150 & 2112.95911287257 & 21.6650166470424 & 38.0076275755755 & -0.118608933587632 \tabularnewline
29 & 2250 & 2213.34127317284 & 36.5351450218195 & 30.0699516785257 & 0.805299056163874 \tabularnewline
30 & 2500 & 2375.88323097146 & 60.4267117556467 & 113.509952393984 & 1.2924852710229 \tabularnewline
31 & 2250 & 2355.41050225362 & 45.0656807977877 & -98.6205732551361 & -0.826970400836215 \tabularnewline
32 & 2300 & 2331.2920050769 & 31.9329810126534 & -25.5034471603169 & -0.705213646042587 \tabularnewline
33 & 2550 & 2436.35358360363 & 45.8040090714144 & 107.536276459033 & 0.744571971130417 \tabularnewline
34 & 2550 & 2487.38196027246 & 46.7940525449115 & 62.1818807327916 & 0.0531668411753301 \tabularnewline
35 & 2600 & 2598.8222297582 & 59.0286934866682 & -4.21667356157443 & 0.658142980320724 \tabularnewline
36 & 2900 & 2754.92659988508 & 77.381670375418 & 136.951494598078 & 0.992430491908988 \tabularnewline
37 & 2400 & 2736.45056987055 & 59.2378733300843 & -328.373018390096 & -0.987073273868476 \tabularnewline
38 & 2750 & 2803.57185587427 & 60.7326915768477 & -54.2333500020529 & 0.0806729399661184 \tabularnewline
39 & 3300 & 3032.32773598679 & 92.5068391665803 & 253.795432572614 & 1.69713345374254 \tabularnewline
40 & 3200 & 3192.08920214163 & 105.1820162103 & 2.37411976160016 & 0.679132240218194 \tabularnewline
41 & 3150 & 3231.8901108884 & 92.8586717095121 & -76.4616049104466 & -0.665312979608624 \tabularnewline
42 & 3200 & 3163.99301075964 & 62.4928615466505 & 49.4320491040189 & -1.64220104898426 \tabularnewline
43 & 3200 & 3234.1024350704 & 63.933702920533 & -34.7381124282833 & 0.0776932239025209 \tabularnewline
44 & 3250 & 3304.43797974277 & 65.1448068249418 & -54.9705890278916 & 0.0651029036007327 \tabularnewline
45 & 3600 & 3442.04279303121 & 78.8415716085373 & 151.945009482066 & 0.735217438363611 \tabularnewline
46 & 3550 & 3530.82506238811 & 80.7184638546431 & 18.3512741687143 & 0.100783541727095 \tabularnewline
47 & 3600 & 3623.84459737945 & 83.0386535376366 & -24.8644435385366 & 0.124879112006339 \tabularnewline
48 & 3600 & 3557.55547528562 & 54.8759485522633 & 54.8673939628598 & -1.52177510930131 \tabularnewline
49 & 3300 & 3621.93141168507 & 56.6698255608291 & -322.724726716296 & 0.0971087718756703 \tabularnewline
50 & 3650 & 3740.60835917722 & 68.3889765017527 & -95.7711691154311 & 0.631470058118839 \tabularnewline
51 & 4200 & 3899.31894740513 & 85.434739298742 & 293.222125197313 & 0.913508853937436 \tabularnewline
52 & 3900 & 3918.52629905614 & 72.9630494592766 & -13.0727672583385 & -0.669090517492432 \tabularnewline
53 & 3950 & 3963.72648685133 & 67.7370090656675 & -11.4305317557086 & -0.281699828923943 \tabularnewline
54 & 4200 & 4096.57454152676 & 80.0082368547967 & 98.0166744014226 & 0.662907445552727 \tabularnewline
55 & 4300 & 4277.37924112942 & 99.0274955903687 & 14.2439436072638 & 1.02587785177166 \tabularnewline
56 & 4350 & 4422.02182474775 & 107.636227648722 & -75.803199343692 & 0.46307491558431 \tabularnewline
57 & 4650 & 4517.94658534673 & 105.427540304999 & 133.021498657423 & -0.118607203330838 \tabularnewline
58 & 4650 & 4617.09731647612 & 104.245022398479 & 33.4208074063342 & -0.0635191031774227 \tabularnewline
59 & 4450 & 4552.12671993211 & 72.3885334770315 & -88.14525427502 & -1.71491368759093 \tabularnewline
60 & 4750 & 4651.64840462134 & 77.4975538130472 & 96.103104714076 & 0.275785862432016 \tabularnewline
61 & 4300 & 4695.53975760773 & 71.1636295821325 & -392.748846536029 & -0.342094823848851 \tabularnewline
62 & 4600 & 4739.712057274 & 66.0738071544992 & -137.475067578476 & -0.274087995392834 \tabularnewline
63 & 5350 & 4920.21198525753 & 87.6327816532105 & 420.349701201669 & 1.15726988522277 \tabularnewline
64 & 4750 & 4888.48121006226 & 65.174746287651 & -128.655861533136 & -1.20603282926025 \tabularnewline
65 & 4900 & 4942.94317745388 & 63.1600730892724 & -42.0593276174268 & -0.108514385841721 \tabularnewline
66 & 4700 & 4817.33006245154 & 27.6347677001555 & -101.706064639222 & -1.91708502210896 \tabularnewline
67 & 4500 & 4641.81883125807 & -10.6286187590527 & -124.992983272463 & -2.06331942844741 \tabularnewline
68 & 4700 & 4681.86622218574 & -1.08151633209642 & 13.9440150729103 & 0.513734918243867 \tabularnewline
69 & 4700 & 4611.74617906164 & -14.0810102287443 & 93.9478576406041 & -0.698446026262868 \tabularnewline
70 & 4350 & 4398.28970412761 & -51.5907941879293 & -31.8655165528837 & -2.01572084915241 \tabularnewline
71 & 4400 & 4406.55373859183 & -40.3355454861854 & -11.488898799717 & 0.60589229413069 \tabularnewline
72 & 4450 & 4361.36125423332 & -41.2490597046001 & 89.0401070951749 & -0.0492690646032492 \tabularnewline
73 & 4050 & 4389.61941436385 & -28.1667928010997 & -345.370908492745 & 0.705685254481481 \tabularnewline
74 & 4700 & 4648.05128317094 & 25.7931046865645 & 28.2666350298913 & 2.90501736609812 \tabularnewline
75 & 5050 & 4650.6504829043 & 21.4285901792942 & 401.260385382371 & -0.234503082914551 \tabularnewline
76 & 4750 & 4761.03969436413 & 38.1535769671175 & -18.3584669429735 & 0.898779280488534 \tabularnewline
77 & 4800 & 4771.46275053469 & 32.9420746410948 & 30.8216366324797 & -0.280595698807064 \tabularnewline
78 & 4900 & 4859.62075075612 & 43.3230797416985 & 35.8207917746129 & 0.559735372706742 \tabularnewline
79 & 5000 & 5030.29911491392 & 67.2814322344878 & -40.8205380113872 & 1.29137790598627 \tabularnewline
80 & 5050 & 5042.81525702904 & 56.9768870847322 & 11.7036397354713 & -0.554585031531142 \tabularnewline
81 & 5400 & 5156.34045399856 & 67.6128518088171 & 239.002244196711 & 0.57173036634882 \tabularnewline
82 & 5400 & 5355.94455527509 & 92.4232535077124 & 33.1948228504087 & 1.33380444104297 \tabularnewline
83 & 5350 & 5423.22563446125 & 87.6989290064951 & -71.1554244169498 & -0.254303735085763 \tabularnewline
84 & 5600 & 5545.8009622831 & 94.2535651212209 & 51.3226878695785 & 0.353284384976931 \tabularnewline
85 & 5200 & 5661.55912894342 & 98.2970778865504 & -463.334212749298 & 0.217948615443641 \tabularnewline
86 & 6000 & 5875.7077820585 & 120.085513920293 & 114.738252506391 & 1.17288233363968 \tabularnewline
87 & 6650 & 6164.56720284098 & 151.816200422888 & 471.541086044114 & 1.70586587821473 \tabularnewline
88 & 6050 & 6198.3924493028 & 129.646359229068 & -138.690124292484 & -1.19194648433609 \tabularnewline
89 & 6050 & 6168.40315982052 & 99.6601725922135 & -105.266142244802 & -1.61418949357038 \tabularnewline
90 & 6400 & 6329.53454891474 & 111.209687326485 & 65.3993346001237 & 0.622368800194938 \tabularnewline
91 & 6400 & 6440.65904133738 & 111.193673790029 & -40.6520160416991 & -0.000862796885970887 \tabularnewline
92 & 6100 & 6324.43623242311 & 68.4411128101365 & -205.69824000232 & -2.30106809310808 \tabularnewline
93 & 7050 & 6624.06561319569 & 111.891424808377 & 406.911390623545 & 2.3365232740744 \tabularnewline
94 & 6450 & 6586.87541302576 & 83.8848432996669 & -124.617009860424 & -1.5061097507759 \tabularnewline
95 & 6250 & 6478.24792219849 & 47.7281968699549 & -212.410590934694 & -1.9461421070069 \tabularnewline
96 & 6600 & 6536.93421677507 & 49.786563878006 & 62.1632842792034 & 0.11089085474033 \tabularnewline
97 & 6000 & 6564.04378329569 & 45.525499170642 & -562.17503055402 & -0.229561344880428 \tabularnewline
98 & 6600 & 6571.10826695814 & 38.2974690510524 & 32.0592498231167 & -0.389065522284455 \tabularnewline
99 & 7400 & 6738.48046889172 & 62.5492743078807 & 650.902728625222 & 1.30428664746504 \tabularnewline
100 & 6650 & 6775.50666123603 & 57.7556599491192 & -123.408714075696 & -0.257809865857383 \tabularnewline
101 & 6250 & 6584.72869388146 & 11.086843256929 & -314.289980412802 & -2.51197473163141 \tabularnewline
102 & 6650 & 6549.90949000486 & 2.46555690438217 & 103.869412018088 & -0.46438332050258 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298043&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]1800[/C][C]1800[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]2000[/C][C]1929.41803551626[/C][C]8.44952251068455[/C][C]58.6465830157765[/C][C]1.26580687079862[/C][/ROW]
[ROW][C]3[/C][C]2200[/C][C]2103.14993804569[/C][C]25.269784343958[/C][C]82.7709242330264[/C][C]1.65688589452575[/C][/ROW]
[ROW][C]4[/C][C]2250[/C][C]2206.79564309904[/C][C]35.1237532447855[/C][C]35.0833442616142[/C][C]0.895886949061529[/C][/ROW]
[ROW][C]5[/C][C]2400[/C][C]2331.04677694482[/C][C]48.221335140184[/C][C]59.6913426469564[/C][C]1.01082776249209[/C][/ROW]
[ROW][C]6[/C][C]2350[/C][C]2367.77300780413[/C][C]46.3446982889428[/C][C]-16.6248784700889[/C][C]-0.126484643012192[/C][/ROW]
[ROW][C]7[/C][C]2350[/C][C]2366.38179403567[/C][C]38.0043994963338[/C][C]-11.7504258249619[/C][C]-0.514858751918451[/C][/ROW]
[ROW][C]8[/C][C]2250[/C][C]2299.99822571962[/C][C]18.9745157015195[/C][C]-40.0470999765597[/C][C]-1.11295129055726[/C][/ROW]
[ROW][C]9[/C][C]2250[/C][C]2253.94803560326[/C][C]6.80966607083917[/C][C]2.18426267733939[/C][C]-0.688476411553715[/C][/ROW]
[ROW][C]10[/C][C]2200[/C][C]2206.4410194862[/C][C]-3.510693739534[/C][C]-1.35282991248178[/C][C]-0.572612213557566[/C][/ROW]
[ROW][C]11[/C][C]2150[/C][C]2154.68687776828[/C][C]-12.7620718821661[/C][C]-0.186610044072474[/C][C]-0.50718650798464[/C][/ROW]
[ROW][C]12[/C][C]2150[/C][C]2129.19878953956[/C][C]-15.2159124654678[/C][C]21.9851849138415[/C][C]-0.133554068284271[/C][/ROW]
[ROW][C]13[/C][C]1900[/C][C]2084.57043363946[/C][C]-20.6581694396965[/C][C]-181.933527950096[/C][C]-0.328208841073084[/C][/ROW]
[ROW][C]14[/C][C]2050[/C][C]2075.60199650704[/C][C]-18.4154714744663[/C][C]-26.6229842581456[/C][C]0.121437844512855[/C][/ROW]
[ROW][C]15[/C][C]2100[/C][C]2061.0860685462[/C][C]-17.6765042176003[/C][C]38.6040994259552[/C][C]0.038044923194285[/C][/ROW]
[ROW][C]16[/C][C]2100[/C][C]2077.81172661668[/C][C]-11.1876051682812[/C][C]19.3446397155546[/C][C]0.34807005536346[/C][/ROW]
[ROW][C]17[/C][C]1900[/C][C]1947.38136837432[/C][C]-33.8389651204889[/C][C]-37.192988987006[/C][C]-1.23237470764201[/C][/ROW]
[ROW][C]18[/C][C]1950[/C][C]1913.69437180583[/C][C]-33.8099595565276[/C][C]36.2926384494535[/C][C]0.00156628110323023[/C][/ROW]
[ROW][C]19[/C][C]1900[/C][C]1871.89832639807[/C][C]-35.3351075552221[/C][C]28.7806492890843[/C][C]-0.0819026538505745[/C][/ROW]
[ROW][C]20[/C][C]1950[/C][C]1902.33834602791[/C][C]-22.7811651034581[/C][C]42.0773951669925[/C][C]0.673785101970886[/C][/ROW]
[ROW][C]21[/C][C]2000[/C][C]1938.46203127626[/C][C]-11.5416814089536[/C][C]56.5329805788845[/C][C]0.603831386880687[/C][/ROW]
[ROW][C]22[/C][C]2050[/C][C]1991.50007301366[/C][C]0.778569818380873[/C][C]53.0099976986202[/C][C]0.662305486095293[/C][/ROW]
[ROW][C]23[/C][C]1900[/C][C]1947.56029844797[/C][C]-7.74329438220923[/C][C]-43.7636947620257[/C][C]-0.458237220907134[/C][/ROW]
[ROW][C]24[/C][C]2050[/C][C]1976.92672372032[/C][C]-0.691884818561141[/C][C]69.927796940062[/C][C]0.380829430972652[/C][/ROW]
[ROW][C]25[/C][C]1750[/C][C]1961.33493358586[/C][C]-3.51784677319598[/C][C]-210.057343776816[/C][C]-0.155991843714646[/C][/ROW]
[ROW][C]26[/C][C]1950[/C][C]1968.22749541709[/C][C]-1.53375532512944[/C][C]-19.1140687089434[/C][C]0.107455333983697[/C][/ROW]
[ROW][C]27[/C][C]2250[/C][C]2100.83302212562[/C][C]23.8809116345763[/C][C]138.15179641811[/C][C]1.34584872751275[/C][/ROW]
[ROW][C]28[/C][C]2150[/C][C]2112.95911287257[/C][C]21.6650166470424[/C][C]38.0076275755755[/C][C]-0.118608933587632[/C][/ROW]
[ROW][C]29[/C][C]2250[/C][C]2213.34127317284[/C][C]36.5351450218195[/C][C]30.0699516785257[/C][C]0.805299056163874[/C][/ROW]
[ROW][C]30[/C][C]2500[/C][C]2375.88323097146[/C][C]60.4267117556467[/C][C]113.509952393984[/C][C]1.2924852710229[/C][/ROW]
[ROW][C]31[/C][C]2250[/C][C]2355.41050225362[/C][C]45.0656807977877[/C][C]-98.6205732551361[/C][C]-0.826970400836215[/C][/ROW]
[ROW][C]32[/C][C]2300[/C][C]2331.2920050769[/C][C]31.9329810126534[/C][C]-25.5034471603169[/C][C]-0.705213646042587[/C][/ROW]
[ROW][C]33[/C][C]2550[/C][C]2436.35358360363[/C][C]45.8040090714144[/C][C]107.536276459033[/C][C]0.744571971130417[/C][/ROW]
[ROW][C]34[/C][C]2550[/C][C]2487.38196027246[/C][C]46.7940525449115[/C][C]62.1818807327916[/C][C]0.0531668411753301[/C][/ROW]
[ROW][C]35[/C][C]2600[/C][C]2598.8222297582[/C][C]59.0286934866682[/C][C]-4.21667356157443[/C][C]0.658142980320724[/C][/ROW]
[ROW][C]36[/C][C]2900[/C][C]2754.92659988508[/C][C]77.381670375418[/C][C]136.951494598078[/C][C]0.992430491908988[/C][/ROW]
[ROW][C]37[/C][C]2400[/C][C]2736.45056987055[/C][C]59.2378733300843[/C][C]-328.373018390096[/C][C]-0.987073273868476[/C][/ROW]
[ROW][C]38[/C][C]2750[/C][C]2803.57185587427[/C][C]60.7326915768477[/C][C]-54.2333500020529[/C][C]0.0806729399661184[/C][/ROW]
[ROW][C]39[/C][C]3300[/C][C]3032.32773598679[/C][C]92.5068391665803[/C][C]253.795432572614[/C][C]1.69713345374254[/C][/ROW]
[ROW][C]40[/C][C]3200[/C][C]3192.08920214163[/C][C]105.1820162103[/C][C]2.37411976160016[/C][C]0.679132240218194[/C][/ROW]
[ROW][C]41[/C][C]3150[/C][C]3231.8901108884[/C][C]92.8586717095121[/C][C]-76.4616049104466[/C][C]-0.665312979608624[/C][/ROW]
[ROW][C]42[/C][C]3200[/C][C]3163.99301075964[/C][C]62.4928615466505[/C][C]49.4320491040189[/C][C]-1.64220104898426[/C][/ROW]
[ROW][C]43[/C][C]3200[/C][C]3234.1024350704[/C][C]63.933702920533[/C][C]-34.7381124282833[/C][C]0.0776932239025209[/C][/ROW]
[ROW][C]44[/C][C]3250[/C][C]3304.43797974277[/C][C]65.1448068249418[/C][C]-54.9705890278916[/C][C]0.0651029036007327[/C][/ROW]
[ROW][C]45[/C][C]3600[/C][C]3442.04279303121[/C][C]78.8415716085373[/C][C]151.945009482066[/C][C]0.735217438363611[/C][/ROW]
[ROW][C]46[/C][C]3550[/C][C]3530.82506238811[/C][C]80.7184638546431[/C][C]18.3512741687143[/C][C]0.100783541727095[/C][/ROW]
[ROW][C]47[/C][C]3600[/C][C]3623.84459737945[/C][C]83.0386535376366[/C][C]-24.8644435385366[/C][C]0.124879112006339[/C][/ROW]
[ROW][C]48[/C][C]3600[/C][C]3557.55547528562[/C][C]54.8759485522633[/C][C]54.8673939628598[/C][C]-1.52177510930131[/C][/ROW]
[ROW][C]49[/C][C]3300[/C][C]3621.93141168507[/C][C]56.6698255608291[/C][C]-322.724726716296[/C][C]0.0971087718756703[/C][/ROW]
[ROW][C]50[/C][C]3650[/C][C]3740.60835917722[/C][C]68.3889765017527[/C][C]-95.7711691154311[/C][C]0.631470058118839[/C][/ROW]
[ROW][C]51[/C][C]4200[/C][C]3899.31894740513[/C][C]85.434739298742[/C][C]293.222125197313[/C][C]0.913508853937436[/C][/ROW]
[ROW][C]52[/C][C]3900[/C][C]3918.52629905614[/C][C]72.9630494592766[/C][C]-13.0727672583385[/C][C]-0.669090517492432[/C][/ROW]
[ROW][C]53[/C][C]3950[/C][C]3963.72648685133[/C][C]67.7370090656675[/C][C]-11.4305317557086[/C][C]-0.281699828923943[/C][/ROW]
[ROW][C]54[/C][C]4200[/C][C]4096.57454152676[/C][C]80.0082368547967[/C][C]98.0166744014226[/C][C]0.662907445552727[/C][/ROW]
[ROW][C]55[/C][C]4300[/C][C]4277.37924112942[/C][C]99.0274955903687[/C][C]14.2439436072638[/C][C]1.02587785177166[/C][/ROW]
[ROW][C]56[/C][C]4350[/C][C]4422.02182474775[/C][C]107.636227648722[/C][C]-75.803199343692[/C][C]0.46307491558431[/C][/ROW]
[ROW][C]57[/C][C]4650[/C][C]4517.94658534673[/C][C]105.427540304999[/C][C]133.021498657423[/C][C]-0.118607203330838[/C][/ROW]
[ROW][C]58[/C][C]4650[/C][C]4617.09731647612[/C][C]104.245022398479[/C][C]33.4208074063342[/C][C]-0.0635191031774227[/C][/ROW]
[ROW][C]59[/C][C]4450[/C][C]4552.12671993211[/C][C]72.3885334770315[/C][C]-88.14525427502[/C][C]-1.71491368759093[/C][/ROW]
[ROW][C]60[/C][C]4750[/C][C]4651.64840462134[/C][C]77.4975538130472[/C][C]96.103104714076[/C][C]0.275785862432016[/C][/ROW]
[ROW][C]61[/C][C]4300[/C][C]4695.53975760773[/C][C]71.1636295821325[/C][C]-392.748846536029[/C][C]-0.342094823848851[/C][/ROW]
[ROW][C]62[/C][C]4600[/C][C]4739.712057274[/C][C]66.0738071544992[/C][C]-137.475067578476[/C][C]-0.274087995392834[/C][/ROW]
[ROW][C]63[/C][C]5350[/C][C]4920.21198525753[/C][C]87.6327816532105[/C][C]420.349701201669[/C][C]1.15726988522277[/C][/ROW]
[ROW][C]64[/C][C]4750[/C][C]4888.48121006226[/C][C]65.174746287651[/C][C]-128.655861533136[/C][C]-1.20603282926025[/C][/ROW]
[ROW][C]65[/C][C]4900[/C][C]4942.94317745388[/C][C]63.1600730892724[/C][C]-42.0593276174268[/C][C]-0.108514385841721[/C][/ROW]
[ROW][C]66[/C][C]4700[/C][C]4817.33006245154[/C][C]27.6347677001555[/C][C]-101.706064639222[/C][C]-1.91708502210896[/C][/ROW]
[ROW][C]67[/C][C]4500[/C][C]4641.81883125807[/C][C]-10.6286187590527[/C][C]-124.992983272463[/C][C]-2.06331942844741[/C][/ROW]
[ROW][C]68[/C][C]4700[/C][C]4681.86622218574[/C][C]-1.08151633209642[/C][C]13.9440150729103[/C][C]0.513734918243867[/C][/ROW]
[ROW][C]69[/C][C]4700[/C][C]4611.74617906164[/C][C]-14.0810102287443[/C][C]93.9478576406041[/C][C]-0.698446026262868[/C][/ROW]
[ROW][C]70[/C][C]4350[/C][C]4398.28970412761[/C][C]-51.5907941879293[/C][C]-31.8655165528837[/C][C]-2.01572084915241[/C][/ROW]
[ROW][C]71[/C][C]4400[/C][C]4406.55373859183[/C][C]-40.3355454861854[/C][C]-11.488898799717[/C][C]0.60589229413069[/C][/ROW]
[ROW][C]72[/C][C]4450[/C][C]4361.36125423332[/C][C]-41.2490597046001[/C][C]89.0401070951749[/C][C]-0.0492690646032492[/C][/ROW]
[ROW][C]73[/C][C]4050[/C][C]4389.61941436385[/C][C]-28.1667928010997[/C][C]-345.370908492745[/C][C]0.705685254481481[/C][/ROW]
[ROW][C]74[/C][C]4700[/C][C]4648.05128317094[/C][C]25.7931046865645[/C][C]28.2666350298913[/C][C]2.90501736609812[/C][/ROW]
[ROW][C]75[/C][C]5050[/C][C]4650.6504829043[/C][C]21.4285901792942[/C][C]401.260385382371[/C][C]-0.234503082914551[/C][/ROW]
[ROW][C]76[/C][C]4750[/C][C]4761.03969436413[/C][C]38.1535769671175[/C][C]-18.3584669429735[/C][C]0.898779280488534[/C][/ROW]
[ROW][C]77[/C][C]4800[/C][C]4771.46275053469[/C][C]32.9420746410948[/C][C]30.8216366324797[/C][C]-0.280595698807064[/C][/ROW]
[ROW][C]78[/C][C]4900[/C][C]4859.62075075612[/C][C]43.3230797416985[/C][C]35.8207917746129[/C][C]0.559735372706742[/C][/ROW]
[ROW][C]79[/C][C]5000[/C][C]5030.29911491392[/C][C]67.2814322344878[/C][C]-40.8205380113872[/C][C]1.29137790598627[/C][/ROW]
[ROW][C]80[/C][C]5050[/C][C]5042.81525702904[/C][C]56.9768870847322[/C][C]11.7036397354713[/C][C]-0.554585031531142[/C][/ROW]
[ROW][C]81[/C][C]5400[/C][C]5156.34045399856[/C][C]67.6128518088171[/C][C]239.002244196711[/C][C]0.57173036634882[/C][/ROW]
[ROW][C]82[/C][C]5400[/C][C]5355.94455527509[/C][C]92.4232535077124[/C][C]33.1948228504087[/C][C]1.33380444104297[/C][/ROW]
[ROW][C]83[/C][C]5350[/C][C]5423.22563446125[/C][C]87.6989290064951[/C][C]-71.1554244169498[/C][C]-0.254303735085763[/C][/ROW]
[ROW][C]84[/C][C]5600[/C][C]5545.8009622831[/C][C]94.2535651212209[/C][C]51.3226878695785[/C][C]0.353284384976931[/C][/ROW]
[ROW][C]85[/C][C]5200[/C][C]5661.55912894342[/C][C]98.2970778865504[/C][C]-463.334212749298[/C][C]0.217948615443641[/C][/ROW]
[ROW][C]86[/C][C]6000[/C][C]5875.7077820585[/C][C]120.085513920293[/C][C]114.738252506391[/C][C]1.17288233363968[/C][/ROW]
[ROW][C]87[/C][C]6650[/C][C]6164.56720284098[/C][C]151.816200422888[/C][C]471.541086044114[/C][C]1.70586587821473[/C][/ROW]
[ROW][C]88[/C][C]6050[/C][C]6198.3924493028[/C][C]129.646359229068[/C][C]-138.690124292484[/C][C]-1.19194648433609[/C][/ROW]
[ROW][C]89[/C][C]6050[/C][C]6168.40315982052[/C][C]99.6601725922135[/C][C]-105.266142244802[/C][C]-1.61418949357038[/C][/ROW]
[ROW][C]90[/C][C]6400[/C][C]6329.53454891474[/C][C]111.209687326485[/C][C]65.3993346001237[/C][C]0.622368800194938[/C][/ROW]
[ROW][C]91[/C][C]6400[/C][C]6440.65904133738[/C][C]111.193673790029[/C][C]-40.6520160416991[/C][C]-0.000862796885970887[/C][/ROW]
[ROW][C]92[/C][C]6100[/C][C]6324.43623242311[/C][C]68.4411128101365[/C][C]-205.69824000232[/C][C]-2.30106809310808[/C][/ROW]
[ROW][C]93[/C][C]7050[/C][C]6624.06561319569[/C][C]111.891424808377[/C][C]406.911390623545[/C][C]2.3365232740744[/C][/ROW]
[ROW][C]94[/C][C]6450[/C][C]6586.87541302576[/C][C]83.8848432996669[/C][C]-124.617009860424[/C][C]-1.5061097507759[/C][/ROW]
[ROW][C]95[/C][C]6250[/C][C]6478.24792219849[/C][C]47.7281968699549[/C][C]-212.410590934694[/C][C]-1.9461421070069[/C][/ROW]
[ROW][C]96[/C][C]6600[/C][C]6536.93421677507[/C][C]49.786563878006[/C][C]62.1632842792034[/C][C]0.11089085474033[/C][/ROW]
[ROW][C]97[/C][C]6000[/C][C]6564.04378329569[/C][C]45.525499170642[/C][C]-562.17503055402[/C][C]-0.229561344880428[/C][/ROW]
[ROW][C]98[/C][C]6600[/C][C]6571.10826695814[/C][C]38.2974690510524[/C][C]32.0592498231167[/C][C]-0.389065522284455[/C][/ROW]
[ROW][C]99[/C][C]7400[/C][C]6738.48046889172[/C][C]62.5492743078807[/C][C]650.902728625222[/C][C]1.30428664746504[/C][/ROW]
[ROW][C]100[/C][C]6650[/C][C]6775.50666123603[/C][C]57.7556599491192[/C][C]-123.408714075696[/C][C]-0.257809865857383[/C][/ROW]
[ROW][C]101[/C][C]6250[/C][C]6584.72869388146[/C][C]11.086843256929[/C][C]-314.289980412802[/C][C]-2.51197473163141[/C][/ROW]
[ROW][C]102[/C][C]6650[/C][C]6549.90949000486[/C][C]2.46555690438217[/C][C]103.869412018088[/C][C]-0.46438332050258[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298043&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298043&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
118001800000
220001929.418035516268.4495225106845558.64658301577651.26580687079862
322002103.1499380456925.26978434395882.77092423302641.65688589452575
422502206.7956430990435.123753244785535.08334426161420.895886949061529
524002331.0467769448248.22133514018459.69134264695641.01082776249209
623502367.7730078041346.3446982889428-16.6248784700889-0.126484643012192
723502366.3817940356738.0043994963338-11.7504258249619-0.514858751918451
822502299.9982257196218.9745157015195-40.0470999765597-1.11295129055726
922502253.948035603266.809666070839172.18426267733939-0.688476411553715
1022002206.4410194862-3.510693739534-1.35282991248178-0.572612213557566
1121502154.68687776828-12.7620718821661-0.186610044072474-0.50718650798464
1221502129.19878953956-15.215912465467821.9851849138415-0.133554068284271
1319002084.57043363946-20.6581694396965-181.933527950096-0.328208841073084
1420502075.60199650704-18.4154714744663-26.62298425814560.121437844512855
1521002061.0860685462-17.676504217600338.60409942595520.038044923194285
1621002077.81172661668-11.187605168281219.34463971555460.34807005536346
1719001947.38136837432-33.8389651204889-37.192988987006-1.23237470764201
1819501913.69437180583-33.809959556527636.29263844945350.00156628110323023
1919001871.89832639807-35.335107555222128.7806492890843-0.0819026538505745
2019501902.33834602791-22.781165103458142.07739516699250.673785101970886
2120001938.46203127626-11.541681408953656.53298057888450.603831386880687
2220501991.500073013660.77856981838087353.00999769862020.662305486095293
2319001947.56029844797-7.74329438220923-43.7636947620257-0.458237220907134
2420501976.92672372032-0.69188481856114169.9277969400620.380829430972652
2517501961.33493358586-3.51784677319598-210.057343776816-0.155991843714646
2619501968.22749541709-1.53375532512944-19.11406870894340.107455333983697
2722502100.8330221256223.8809116345763138.151796418111.34584872751275
2821502112.9591128725721.665016647042438.0076275755755-0.118608933587632
2922502213.3412731728436.535145021819530.06995167852570.805299056163874
3025002375.8832309714660.4267117556467113.5099523939841.2924852710229
3122502355.4105022536245.0656807977877-98.6205732551361-0.826970400836215
3223002331.292005076931.9329810126534-25.5034471603169-0.705213646042587
3325502436.3535836036345.8040090714144107.5362764590330.744571971130417
3425502487.3819602724646.794052544911562.18188073279160.0531668411753301
3526002598.822229758259.0286934866682-4.216673561574430.658142980320724
3629002754.9265998850877.381670375418136.9514945980780.992430491908988
3724002736.4505698705559.2378733300843-328.373018390096-0.987073273868476
3827502803.5718558742760.7326915768477-54.23335000205290.0806729399661184
3933003032.3277359867992.5068391665803253.7954325726141.69713345374254
4032003192.08920214163105.18201621032.374119761600160.679132240218194
4131503231.890110888492.8586717095121-76.4616049104466-0.665312979608624
4232003163.9930107596462.492861546650549.4320491040189-1.64220104898426
4332003234.102435070463.933702920533-34.73811242828330.0776932239025209
4432503304.4379797427765.1448068249418-54.97058902789160.0651029036007327
4536003442.0427930312178.8415716085373151.9450094820660.735217438363611
4635503530.8250623881180.718463854643118.35127416871430.100783541727095
4736003623.8445973794583.0386535376366-24.86444353853660.124879112006339
4836003557.5554752856254.875948552263354.8673939628598-1.52177510930131
4933003621.9314116850756.6698255608291-322.7247267162960.0971087718756703
5036503740.6083591772268.3889765017527-95.77116911543110.631470058118839
5142003899.3189474051385.434739298742293.2221251973130.913508853937436
5239003918.5262990561472.9630494592766-13.0727672583385-0.669090517492432
5339503963.7264868513367.7370090656675-11.4305317557086-0.281699828923943
5442004096.5745415267680.008236854796798.01667440142260.662907445552727
5543004277.3792411294299.027495590368714.24394360726381.02587785177166
5643504422.02182474775107.636227648722-75.8031993436920.46307491558431
5746504517.94658534673105.427540304999133.021498657423-0.118607203330838
5846504617.09731647612104.24502239847933.4208074063342-0.0635191031774227
5944504552.1267199321172.3885334770315-88.14525427502-1.71491368759093
6047504651.6484046213477.497553813047296.1031047140760.275785862432016
6143004695.5397576077371.1636295821325-392.748846536029-0.342094823848851
6246004739.71205727466.0738071544992-137.475067578476-0.274087995392834
6353504920.2119852575387.6327816532105420.3497012016691.15726988522277
6447504888.4812100622665.174746287651-128.655861533136-1.20603282926025
6549004942.9431774538863.1600730892724-42.0593276174268-0.108514385841721
6647004817.3300624515427.6347677001555-101.706064639222-1.91708502210896
6745004641.81883125807-10.6286187590527-124.992983272463-2.06331942844741
6847004681.86622218574-1.0815163320964213.94401507291030.513734918243867
6947004611.74617906164-14.081010228744393.9478576406041-0.698446026262868
7043504398.28970412761-51.5907941879293-31.8655165528837-2.01572084915241
7144004406.55373859183-40.3355454861854-11.4888987997170.60589229413069
7244504361.36125423332-41.249059704600189.0401070951749-0.0492690646032492
7340504389.61941436385-28.1667928010997-345.3709084927450.705685254481481
7447004648.0512831709425.793104686564528.26663502989132.90501736609812
7550504650.650482904321.4285901792942401.260385382371-0.234503082914551
7647504761.0396943641338.1535769671175-18.35846694297350.898779280488534
7748004771.4627505346932.942074641094830.8216366324797-0.280595698807064
7849004859.6207507561243.323079741698535.82079177461290.559735372706742
7950005030.2991149139267.2814322344878-40.82053801138721.29137790598627
8050505042.8152570290456.976887084732211.7036397354713-0.554585031531142
8154005156.3404539985667.6128518088171239.0022441967110.57173036634882
8254005355.9445552750992.423253507712433.19482285040871.33380444104297
8353505423.2256344612587.6989290064951-71.1554244169498-0.254303735085763
8456005545.800962283194.253565121220951.32268786957850.353284384976931
8552005661.5591289434298.2970778865504-463.3342127492980.217948615443641
8660005875.7077820585120.085513920293114.7382525063911.17288233363968
8766506164.56720284098151.816200422888471.5410860441141.70586587821473
8860506198.3924493028129.646359229068-138.690124292484-1.19194648433609
8960506168.4031598205299.6601725922135-105.266142244802-1.61418949357038
9064006329.53454891474111.20968732648565.39933460012370.622368800194938
9164006440.65904133738111.193673790029-40.6520160416991-0.000862796885970887
9261006324.4362324231168.4411128101365-205.69824000232-2.30106809310808
9370506624.06561319569111.891424808377406.9113906235452.3365232740744
9464506586.8754130257683.8848432996669-124.617009860424-1.5061097507759
9562506478.2479221984947.7281968699549-212.410590934694-1.9461421070069
9666006536.9342167750749.78656387800662.16328427920340.11089085474033
9760006564.0437832956945.525499170642-562.17503055402-0.229561344880428
9866006571.1082669581438.297469051052432.0592498231167-0.389065522284455
9974006738.4804688917262.5492743078807650.9027286252221.30428664746504
10066506775.5066612360357.7556599491192-123.408714075696-0.257809865857383
10162506584.7286938814611.086843256929-314.289980412802-2.51197473163141
10266506549.909490004862.46555690438217103.869412018088-0.46438332050258







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
16615.083681915666587.2752908561227.8083910595347
26414.304827414896636.00250023092-221.697672816032
37077.391721146466684.72970960572392.662011540745
46688.216243022276733.45691898051-45.240675958241
56608.279706630416782.18412835531-173.904421724902
66903.648463495656830.9113377301172.7371257655408
76334.153840744996879.6385471049-545.484706359914
86900.190295849076928.3657564797-28.1754606306353
97591.43511832316977.0929658545614.342152468601
107017.173715837067025.8201752293-8.64645939223476
116876.55020311737074.54738460409-197.997181486789
127236.871491513227123.27459397889113.596897534326
137199.810194413227172.0018033536927.8083910595348
146999.031339912457220.72901272848-221.697672816032
157662.118233644037269.45622210328392.662011540745
167272.942755519847318.18343147808-45.240675958241
177193.006219127977366.91064085287-173.904421724902
187488.374975993217415.6378502276772.7371257655407

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 6615.08368191566 & 6587.27529085612 & 27.8083910595347 \tabularnewline
2 & 6414.30482741489 & 6636.00250023092 & -221.697672816032 \tabularnewline
3 & 7077.39172114646 & 6684.72970960572 & 392.662011540745 \tabularnewline
4 & 6688.21624302227 & 6733.45691898051 & -45.240675958241 \tabularnewline
5 & 6608.27970663041 & 6782.18412835531 & -173.904421724902 \tabularnewline
6 & 6903.64846349565 & 6830.91133773011 & 72.7371257655408 \tabularnewline
7 & 6334.15384074499 & 6879.6385471049 & -545.484706359914 \tabularnewline
8 & 6900.19029584907 & 6928.3657564797 & -28.1754606306353 \tabularnewline
9 & 7591.4351183231 & 6977.0929658545 & 614.342152468601 \tabularnewline
10 & 7017.17371583706 & 7025.8201752293 & -8.64645939223476 \tabularnewline
11 & 6876.5502031173 & 7074.54738460409 & -197.997181486789 \tabularnewline
12 & 7236.87149151322 & 7123.27459397889 & 113.596897534326 \tabularnewline
13 & 7199.81019441322 & 7172.00180335369 & 27.8083910595348 \tabularnewline
14 & 6999.03133991245 & 7220.72901272848 & -221.697672816032 \tabularnewline
15 & 7662.11823364403 & 7269.45622210328 & 392.662011540745 \tabularnewline
16 & 7272.94275551984 & 7318.18343147808 & -45.240675958241 \tabularnewline
17 & 7193.00621912797 & 7366.91064085287 & -173.904421724902 \tabularnewline
18 & 7488.37497599321 & 7415.63785022767 & 72.7371257655407 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298043&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]6615.08368191566[/C][C]6587.27529085612[/C][C]27.8083910595347[/C][/ROW]
[ROW][C]2[/C][C]6414.30482741489[/C][C]6636.00250023092[/C][C]-221.697672816032[/C][/ROW]
[ROW][C]3[/C][C]7077.39172114646[/C][C]6684.72970960572[/C][C]392.662011540745[/C][/ROW]
[ROW][C]4[/C][C]6688.21624302227[/C][C]6733.45691898051[/C][C]-45.240675958241[/C][/ROW]
[ROW][C]5[/C][C]6608.27970663041[/C][C]6782.18412835531[/C][C]-173.904421724902[/C][/ROW]
[ROW][C]6[/C][C]6903.64846349565[/C][C]6830.91133773011[/C][C]72.7371257655408[/C][/ROW]
[ROW][C]7[/C][C]6334.15384074499[/C][C]6879.6385471049[/C][C]-545.484706359914[/C][/ROW]
[ROW][C]8[/C][C]6900.19029584907[/C][C]6928.3657564797[/C][C]-28.1754606306353[/C][/ROW]
[ROW][C]9[/C][C]7591.4351183231[/C][C]6977.0929658545[/C][C]614.342152468601[/C][/ROW]
[ROW][C]10[/C][C]7017.17371583706[/C][C]7025.8201752293[/C][C]-8.64645939223476[/C][/ROW]
[ROW][C]11[/C][C]6876.5502031173[/C][C]7074.54738460409[/C][C]-197.997181486789[/C][/ROW]
[ROW][C]12[/C][C]7236.87149151322[/C][C]7123.27459397889[/C][C]113.596897534326[/C][/ROW]
[ROW][C]13[/C][C]7199.81019441322[/C][C]7172.00180335369[/C][C]27.8083910595348[/C][/ROW]
[ROW][C]14[/C][C]6999.03133991245[/C][C]7220.72901272848[/C][C]-221.697672816032[/C][/ROW]
[ROW][C]15[/C][C]7662.11823364403[/C][C]7269.45622210328[/C][C]392.662011540745[/C][/ROW]
[ROW][C]16[/C][C]7272.94275551984[/C][C]7318.18343147808[/C][C]-45.240675958241[/C][/ROW]
[ROW][C]17[/C][C]7193.00621912797[/C][C]7366.91064085287[/C][C]-173.904421724902[/C][/ROW]
[ROW][C]18[/C][C]7488.37497599321[/C][C]7415.63785022767[/C][C]72.7371257655407[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298043&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298043&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
16615.083681915666587.2752908561227.8083910595347
26414.304827414896636.00250023092-221.697672816032
37077.391721146466684.72970960572392.662011540745
46688.216243022276733.45691898051-45.240675958241
56608.279706630416782.18412835531-173.904421724902
66903.648463495656830.9113377301172.7371257655408
76334.153840744996879.6385471049-545.484706359914
86900.190295849076928.3657564797-28.1754606306353
97591.43511832316977.0929658545614.342152468601
107017.173715837067025.8201752293-8.64645939223476
116876.55020311737074.54738460409-197.997181486789
127236.871491513227123.27459397889113.596897534326
137199.810194413227172.0018033536927.8083910595348
146999.031339912457220.72901272848-221.697672816032
157662.118233644037269.45622210328392.662011540745
167272.942755519847318.18343147808-45.240675958241
177193.006219127977366.91064085287-173.904421724902
187488.374975993217415.6378502276772.7371257655407



Parameters (Session):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
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')