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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 computationFri, 11 Dec 2015 14:05:43 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/11/t1449842758ixgn2rj4nvuu0ci.htm/, Retrieved Thu, 16 May 2024 13:58:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285956, Retrieved Thu, 16 May 2024 13:58:59 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural Time S...] [2015-12-11 14:05:43] [42f75ab47e982481f307588c9de28675] [Current]
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Dataseries X:
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8
8
8.8
8.7
8.5
8.1
7.8
7.7
7.5
7.2
6.9
6.6
6.5
6.6
7.7
8
7.7
7.3
7
7
7.3
7.3
7.1
7.1
7
7
7.5
7.8
7.9
8.1
8.3
8.4
8.6
8.5
8.4
8.3
8
8
8.7
8.7
8.6
8.5
8.5
8.6
8.8
8.7
8.6
8.4
8.1
8.1
8.7
8.7
8.6
8.6
8.5
8.6
8.8
8.8
8.7
8.5
8.3
8.3
8.9
9
8.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285956&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285956&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285956&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
18.58.5000
28.48.4092724548042-0.0914938638076032-0.00927245480419839-0.5072074187671
38.58.467506784512350.03107143335052160.03249321548765230.692967491827545
48.78.679123986686520.1820518057833060.02087601331347850.796479687213399
58.78.725317561936940.069830991905038-0.0253175619369416-0.593577624871831
68.68.61830726672721-0.0765668468379364-0.0183072667272133-0.774952256162808
78.58.49749650205265-0.1132133649207450.00250349794734983-0.193911714093687
88.38.30756067195717-0.176756641576053-0.00756067195716654-0.336244494793785
988.01227396432946-0.274916558454553-0.0122739643294656-0.519417052634185
108.28.135988389135510.0552042447581330.06401161086448751.74684776773755
118.18.12410785412426-0.000351841214656937-0.0241078541242626-0.29397729401354
128.18.09912574580275-0.02074941356099180.000874254197253022-0.107934583768127
1388.01214124635961-0.0755292952353692-0.0121412463596101-0.290373816879483
147.97.92641096705999-0.0839870363391002-0.0264109670599899-0.0453277016204072
157.97.89777017740502-0.04019164026294680.002229822594980420.233067849569648
1687.950686282417750.03434862370374940.04931371758224730.397027776131182
1788.000807795950010.0469033235312901-0.0008077959500116670.0662713113057303
187.97.93910777594677-0.0394268063970421-0.0391077759467647-0.45701422481773
1987.966742418491610.01394221917538650.03325758150838640.282425526138705
207.77.71106843613003-0.200658268816235-0.0110684361300313-1.13554744944278
217.27.30961715452414-0.360468961108179-0.109617154524134-0.845648215561059
227.57.35303261636226-0.03902620478385960.1469673836377411.70093508297191
237.37.33143596586506-0.0251546364785638-0.03143596586505910.073402523879779
2477.03473526808586-0.241169611954765-0.0347352680858617-1.143133107493
2576.96962529603219-0.1011629372465820.03037470396780620.742430542582392
2677.011343120369230.0126039337063795-0.01134312036923230.602886538382222
277.27.192872740616220.1452391048889010.007127259383781730.702191608136619
287.37.272986729109530.09392766198728580.0270132708904734-0.272791017814404
297.17.12837304770814-0.0939581514889849-0.0283730477081382-0.99287545932112
306.86.89112908108607-0.206538056140495-0.0911290810860661-0.595576115156176
316.46.35462787401098-0.4659773957127630.045372125989023-1.37313380473217
326.16.02133109032501-0.3616108325254320.07866890967498960.552248447126131
336.56.554969084974560.342616131954571-0.05496908497455793.72643945648222
347.77.482920233939080.803040976899170.2170797660609162.4364309824833
357.97.933155837807870.525579629189118-0.0331558378078672-1.4681794151632
367.57.68345483012504-0.0837938035975729-0.183454830125041-3.22545504671994
376.96.98619838007616-0.566166513962476-0.0861983800761591-2.55669334302053
386.66.61791381465004-0.410621474640372-0.0179138146500440.822922876316391
396.96.806366646271940.05732013955158080.09363335372805942.47613174702057
407.77.540644214632510.5867983995227860.1593557853674892.80969986266385
4188.023922905571230.505748803694598-0.0239229055712332-0.42869362893283
4288.044816914003690.126895277338879-0.0448169140036909-2.00362452143523
437.77.68998994052452-0.2495495920866110.010010059475481-1.99233193921883
447.37.40389051287085-0.278126696132394-0.103890512870853-0.151219806749231
457.47.559361093579020.0609284648730864-0.1593610935790171.79411010223125
468.17.834347005437010.2283040010411250.2656529945629930.885706275256278
478.38.165086561350820.3083755387306850.1349134386491830.42369704964051
488.18.165811175492150.0679864809826861-0.06581117549215-1.27256990379244
497.98.01381367793145-0.103993932576618-0.113813677931453-0.911015997089479
507.98.01664501321223-0.0205461314300071-0.1166450132122280.441382175620048
518.38.333530771601070.242100065158444-0.03353077160106591.38974484414658
528.68.477378244247620.1655722398982520.122621755752378-0.405676159172452
538.78.63150094678380.1566441933906050.0684990532161961-0.0472429222111885
548.58.47050723763053-0.0907115686711680.029492762369469-1.30816200155102
558.38.26802857639419-0.1777256792163760.0319714236058071-0.460467556706835
5688.17530541349998-0.111517590108733-0.1753054134999750.350358475182495
5788.19681083575376-0.00788742865279098-0.1968108357537570.548358639173948
588.88.521668202636650.2513189254272280.2783317973633541.37162815967926
598.78.537261308470850.06774751715453690.162738691529154-0.971392862651179
608.58.5115642016844-0.0050083916824421-0.0115642016844004-0.385161807291469
618.18.26979473994565-0.189433469659178-0.169794739945646-0.976545411887845
627.88.01077413779731-0.243592234672281-0.210774137797309-0.286466080508209
637.77.73369605868688-0.269593845093331-0.0336960586868826-0.137583925487011
647.57.39906123564684-0.3201182410266240.100938764353162-0.267674650424384
657.27.05929557066524-0.3353957004593180.140704429334758-0.0808547412606695
666.96.81539209922054-0.2643119020107970.08460790077945530.375967007426056
676.66.56744164564615-0.2516052466874520.03255835435385070.0672349038435722
686.56.649079629834510.00728716474903773-0.149079629834511.36999923455026
696.66.856753011474250.162998203913676-0.2567530114742490.823947485943624
707.77.334035284978770.40720166933650.365964715021231.29221989444672
7187.819885050151710.4682965761799370.1801149498482860.323303246961897
727.77.752420869475580.0521285547679474-0.0524208694755831-2.20305596054277
737.37.50532503899413-0.18037911151479-0.205325038994131-1.23082775252863
7477.22590145528408-0.257279710887828-0.225901455284084-0.406778007608252
7577.0112778345844-0.224213254986536-0.01127783458440350.174968444280465
767.37.129888026805150.04161092745056110.1701119731948471.40782642545894
777.37.161228865451230.03364097054788260.13877113454877-0.0421829321158039
787.17.0153719859886-0.1055872052149310.0846280140113956-0.736466390572726
797.17.089168817326610.03349245754767930.0108311826733940.735864266551328
8077.182521705510410.0799129178200026-0.1825217055104120.245641998519424
8177.339616629773810.139778305671664-0.3396166297738080.31678031412642
827.57.22507507847693-0.05747507600659210.274924921523073-1.04377819390045
837.87.463692804893870.1721355240280990.3363071951061281.21509393095353
847.97.85303685733540.3405820556591160.04696314266460490.891646683929054
858.18.258903654276230.391221862172246-0.1589036542762270.268027981278337
868.38.543605279075590.30865391463747-0.24360527907559-0.43677968235825
878.48.541725992479390.0682269957200482-0.141725992479393-1.27220965803149
888.68.45040225126028-0.05532737361405650.149597748739721-0.654210266310191
898.58.32670922759962-0.1083049066839550.173290772400376-0.280400809547384
908.48.33651658061995-0.01680365922478570.06348341938004760.484054116740103
918.38.30716577790954-0.0265199375258696-0.00716577790953645-0.0514066146179547
9288.20069866106902-0.0884351163111333-0.200698661069025-0.327627231161958
9388.239998131145180.0105061475950422-0.2399981311451830.523554510390187
948.78.453337827074290.1676150842312470.2466621729257080.831359048410516
958.78.44834578447520.03393347765159980.251654215524796-0.707455390999846
968.68.569637162566740.1015975282804080.03036283743326460.358148376951628
978.58.656777340673450.0903979282249818-0.156777340673449-0.0592712623582209
988.58.689050694119040.0453981388092274-0.189050694119042-0.238056885861396
998.68.708080194371850.0250015741132512-0.108080194371851-0.107928244508108
1008.88.64685154823996-0.04170864899052120.153148451760041-0.353174152618606
1018.78.56064411067507-0.07615357580867540.139355889324932-0.182310465028362
1028.68.52222816583946-0.04694651057657740.07777183416053520.154521065036866
1038.48.39240575828055-0.11106495075020.00759424171944883-0.339231828123829
1048.18.32067407533758-0.0806341408207282-0.220674075337580.161022422095901
1058.18.367862779508490.0182703938405534-0.2678627795084950.52336199622449
1068.78.409857024738910.03662699538901520.290142975261090.0971374569055588
1078.78.467125182647070.05259757414043740.2328748173529320.0845190499652153
1088.68.563836488285780.08673362607688550.03616351171421990.180674100825434
1098.68.736029382419640.152868229110434-0.1360293824196420.349977420908425
1108.58.715781023483650.0189691282027676-0.215781023483646-0.708375041067966
1118.68.69450529669156-0.0121374126146043-0.0945052966915634-0.164600655186002
1128.88.64547971225534-0.04065274661019140.154520287744656-0.150949688211219
1138.88.65988433833860.001927864399659050.1401156616614010.225368915240701
1148.78.60593334977094-0.04128535634042250.0940666502290603-0.228634445839428
1158.58.50365477391915-0.0884385635021077-0.00365477391914891-0.249473830357998
1168.38.5282846387023-0.00103286697138215-0.2282846387022950.462491835742587
1178.38.565279433439550.0283659982399742-0.2652794334395490.155567006769232
1188.98.609439050370210.04057606151605720.2905609496297950.064612999671619
11998.763980139162960.1286828974312570.2360198608370390.466281167228427
1208.88.80518296519580.0610429119950262-0.00518296519579741-0.357987364250837

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 8.5 & 8.5 & 0 & 0 & 0 \tabularnewline
2 & 8.4 & 8.4092724548042 & -0.0914938638076032 & -0.00927245480419839 & -0.5072074187671 \tabularnewline
3 & 8.5 & 8.46750678451235 & 0.0310714333505216 & 0.0324932154876523 & 0.692967491827545 \tabularnewline
4 & 8.7 & 8.67912398668652 & 0.182051805783306 & 0.0208760133134785 & 0.796479687213399 \tabularnewline
5 & 8.7 & 8.72531756193694 & 0.069830991905038 & -0.0253175619369416 & -0.593577624871831 \tabularnewline
6 & 8.6 & 8.61830726672721 & -0.0765668468379364 & -0.0183072667272133 & -0.774952256162808 \tabularnewline
7 & 8.5 & 8.49749650205265 & -0.113213364920745 & 0.00250349794734983 & -0.193911714093687 \tabularnewline
8 & 8.3 & 8.30756067195717 & -0.176756641576053 & -0.00756067195716654 & -0.336244494793785 \tabularnewline
9 & 8 & 8.01227396432946 & -0.274916558454553 & -0.0122739643294656 & -0.519417052634185 \tabularnewline
10 & 8.2 & 8.13598838913551 & 0.055204244758133 & 0.0640116108644875 & 1.74684776773755 \tabularnewline
11 & 8.1 & 8.12410785412426 & -0.000351841214656937 & -0.0241078541242626 & -0.29397729401354 \tabularnewline
12 & 8.1 & 8.09912574580275 & -0.0207494135609918 & 0.000874254197253022 & -0.107934583768127 \tabularnewline
13 & 8 & 8.01214124635961 & -0.0755292952353692 & -0.0121412463596101 & -0.290373816879483 \tabularnewline
14 & 7.9 & 7.92641096705999 & -0.0839870363391002 & -0.0264109670599899 & -0.0453277016204072 \tabularnewline
15 & 7.9 & 7.89777017740502 & -0.0401916402629468 & 0.00222982259498042 & 0.233067849569648 \tabularnewline
16 & 8 & 7.95068628241775 & 0.0343486237037494 & 0.0493137175822473 & 0.397027776131182 \tabularnewline
17 & 8 & 8.00080779595001 & 0.0469033235312901 & -0.000807795950011667 & 0.0662713113057303 \tabularnewline
18 & 7.9 & 7.93910777594677 & -0.0394268063970421 & -0.0391077759467647 & -0.45701422481773 \tabularnewline
19 & 8 & 7.96674241849161 & 0.0139422191753865 & 0.0332575815083864 & 0.282425526138705 \tabularnewline
20 & 7.7 & 7.71106843613003 & -0.200658268816235 & -0.0110684361300313 & -1.13554744944278 \tabularnewline
21 & 7.2 & 7.30961715452414 & -0.360468961108179 & -0.109617154524134 & -0.845648215561059 \tabularnewline
22 & 7.5 & 7.35303261636226 & -0.0390262047838596 & 0.146967383637741 & 1.70093508297191 \tabularnewline
23 & 7.3 & 7.33143596586506 & -0.0251546364785638 & -0.0314359658650591 & 0.073402523879779 \tabularnewline
24 & 7 & 7.03473526808586 & -0.241169611954765 & -0.0347352680858617 & -1.143133107493 \tabularnewline
25 & 7 & 6.96962529603219 & -0.101162937246582 & 0.0303747039678062 & 0.742430542582392 \tabularnewline
26 & 7 & 7.01134312036923 & 0.0126039337063795 & -0.0113431203692323 & 0.602886538382222 \tabularnewline
27 & 7.2 & 7.19287274061622 & 0.145239104888901 & 0.00712725938378173 & 0.702191608136619 \tabularnewline
28 & 7.3 & 7.27298672910953 & 0.0939276619872858 & 0.0270132708904734 & -0.272791017814404 \tabularnewline
29 & 7.1 & 7.12837304770814 & -0.0939581514889849 & -0.0283730477081382 & -0.99287545932112 \tabularnewline
30 & 6.8 & 6.89112908108607 & -0.206538056140495 & -0.0911290810860661 & -0.595576115156176 \tabularnewline
31 & 6.4 & 6.35462787401098 & -0.465977395712763 & 0.045372125989023 & -1.37313380473217 \tabularnewline
32 & 6.1 & 6.02133109032501 & -0.361610832525432 & 0.0786689096749896 & 0.552248447126131 \tabularnewline
33 & 6.5 & 6.55496908497456 & 0.342616131954571 & -0.0549690849745579 & 3.72643945648222 \tabularnewline
34 & 7.7 & 7.48292023393908 & 0.80304097689917 & 0.217079766060916 & 2.4364309824833 \tabularnewline
35 & 7.9 & 7.93315583780787 & 0.525579629189118 & -0.0331558378078672 & -1.4681794151632 \tabularnewline
36 & 7.5 & 7.68345483012504 & -0.0837938035975729 & -0.183454830125041 & -3.22545504671994 \tabularnewline
37 & 6.9 & 6.98619838007616 & -0.566166513962476 & -0.0861983800761591 & -2.55669334302053 \tabularnewline
38 & 6.6 & 6.61791381465004 & -0.410621474640372 & -0.017913814650044 & 0.822922876316391 \tabularnewline
39 & 6.9 & 6.80636664627194 & 0.0573201395515808 & 0.0936333537280594 & 2.47613174702057 \tabularnewline
40 & 7.7 & 7.54064421463251 & 0.586798399522786 & 0.159355785367489 & 2.80969986266385 \tabularnewline
41 & 8 & 8.02392290557123 & 0.505748803694598 & -0.0239229055712332 & -0.42869362893283 \tabularnewline
42 & 8 & 8.04481691400369 & 0.126895277338879 & -0.0448169140036909 & -2.00362452143523 \tabularnewline
43 & 7.7 & 7.68998994052452 & -0.249549592086611 & 0.010010059475481 & -1.99233193921883 \tabularnewline
44 & 7.3 & 7.40389051287085 & -0.278126696132394 & -0.103890512870853 & -0.151219806749231 \tabularnewline
45 & 7.4 & 7.55936109357902 & 0.0609284648730864 & -0.159361093579017 & 1.79411010223125 \tabularnewline
46 & 8.1 & 7.83434700543701 & 0.228304001041125 & 0.265652994562993 & 0.885706275256278 \tabularnewline
47 & 8.3 & 8.16508656135082 & 0.308375538730685 & 0.134913438649183 & 0.42369704964051 \tabularnewline
48 & 8.1 & 8.16581117549215 & 0.0679864809826861 & -0.06581117549215 & -1.27256990379244 \tabularnewline
49 & 7.9 & 8.01381367793145 & -0.103993932576618 & -0.113813677931453 & -0.911015997089479 \tabularnewline
50 & 7.9 & 8.01664501321223 & -0.0205461314300071 & -0.116645013212228 & 0.441382175620048 \tabularnewline
51 & 8.3 & 8.33353077160107 & 0.242100065158444 & -0.0335307716010659 & 1.38974484414658 \tabularnewline
52 & 8.6 & 8.47737824424762 & 0.165572239898252 & 0.122621755752378 & -0.405676159172452 \tabularnewline
53 & 8.7 & 8.6315009467838 & 0.156644193390605 & 0.0684990532161961 & -0.0472429222111885 \tabularnewline
54 & 8.5 & 8.47050723763053 & -0.090711568671168 & 0.029492762369469 & -1.30816200155102 \tabularnewline
55 & 8.3 & 8.26802857639419 & -0.177725679216376 & 0.0319714236058071 & -0.460467556706835 \tabularnewline
56 & 8 & 8.17530541349998 & -0.111517590108733 & -0.175305413499975 & 0.350358475182495 \tabularnewline
57 & 8 & 8.19681083575376 & -0.00788742865279098 & -0.196810835753757 & 0.548358639173948 \tabularnewline
58 & 8.8 & 8.52166820263665 & 0.251318925427228 & 0.278331797363354 & 1.37162815967926 \tabularnewline
59 & 8.7 & 8.53726130847085 & 0.0677475171545369 & 0.162738691529154 & -0.971392862651179 \tabularnewline
60 & 8.5 & 8.5115642016844 & -0.0050083916824421 & -0.0115642016844004 & -0.385161807291469 \tabularnewline
61 & 8.1 & 8.26979473994565 & -0.189433469659178 & -0.169794739945646 & -0.976545411887845 \tabularnewline
62 & 7.8 & 8.01077413779731 & -0.243592234672281 & -0.210774137797309 & -0.286466080508209 \tabularnewline
63 & 7.7 & 7.73369605868688 & -0.269593845093331 & -0.0336960586868826 & -0.137583925487011 \tabularnewline
64 & 7.5 & 7.39906123564684 & -0.320118241026624 & 0.100938764353162 & -0.267674650424384 \tabularnewline
65 & 7.2 & 7.05929557066524 & -0.335395700459318 & 0.140704429334758 & -0.0808547412606695 \tabularnewline
66 & 6.9 & 6.81539209922054 & -0.264311902010797 & 0.0846079007794553 & 0.375967007426056 \tabularnewline
67 & 6.6 & 6.56744164564615 & -0.251605246687452 & 0.0325583543538507 & 0.0672349038435722 \tabularnewline
68 & 6.5 & 6.64907962983451 & 0.00728716474903773 & -0.14907962983451 & 1.36999923455026 \tabularnewline
69 & 6.6 & 6.85675301147425 & 0.162998203913676 & -0.256753011474249 & 0.823947485943624 \tabularnewline
70 & 7.7 & 7.33403528497877 & 0.4072016693365 & 0.36596471502123 & 1.29221989444672 \tabularnewline
71 & 8 & 7.81988505015171 & 0.468296576179937 & 0.180114949848286 & 0.323303246961897 \tabularnewline
72 & 7.7 & 7.75242086947558 & 0.0521285547679474 & -0.0524208694755831 & -2.20305596054277 \tabularnewline
73 & 7.3 & 7.50532503899413 & -0.18037911151479 & -0.205325038994131 & -1.23082775252863 \tabularnewline
74 & 7 & 7.22590145528408 & -0.257279710887828 & -0.225901455284084 & -0.406778007608252 \tabularnewline
75 & 7 & 7.0112778345844 & -0.224213254986536 & -0.0112778345844035 & 0.174968444280465 \tabularnewline
76 & 7.3 & 7.12988802680515 & 0.0416109274505611 & 0.170111973194847 & 1.40782642545894 \tabularnewline
77 & 7.3 & 7.16122886545123 & 0.0336409705478826 & 0.13877113454877 & -0.0421829321158039 \tabularnewline
78 & 7.1 & 7.0153719859886 & -0.105587205214931 & 0.0846280140113956 & -0.736466390572726 \tabularnewline
79 & 7.1 & 7.08916881732661 & 0.0334924575476793 & 0.010831182673394 & 0.735864266551328 \tabularnewline
80 & 7 & 7.18252170551041 & 0.0799129178200026 & -0.182521705510412 & 0.245641998519424 \tabularnewline
81 & 7 & 7.33961662977381 & 0.139778305671664 & -0.339616629773808 & 0.31678031412642 \tabularnewline
82 & 7.5 & 7.22507507847693 & -0.0574750760065921 & 0.274924921523073 & -1.04377819390045 \tabularnewline
83 & 7.8 & 7.46369280489387 & 0.172135524028099 & 0.336307195106128 & 1.21509393095353 \tabularnewline
84 & 7.9 & 7.8530368573354 & 0.340582055659116 & 0.0469631426646049 & 0.891646683929054 \tabularnewline
85 & 8.1 & 8.25890365427623 & 0.391221862172246 & -0.158903654276227 & 0.268027981278337 \tabularnewline
86 & 8.3 & 8.54360527907559 & 0.30865391463747 & -0.24360527907559 & -0.43677968235825 \tabularnewline
87 & 8.4 & 8.54172599247939 & 0.0682269957200482 & -0.141725992479393 & -1.27220965803149 \tabularnewline
88 & 8.6 & 8.45040225126028 & -0.0553273736140565 & 0.149597748739721 & -0.654210266310191 \tabularnewline
89 & 8.5 & 8.32670922759962 & -0.108304906683955 & 0.173290772400376 & -0.280400809547384 \tabularnewline
90 & 8.4 & 8.33651658061995 & -0.0168036592247857 & 0.0634834193800476 & 0.484054116740103 \tabularnewline
91 & 8.3 & 8.30716577790954 & -0.0265199375258696 & -0.00716577790953645 & -0.0514066146179547 \tabularnewline
92 & 8 & 8.20069866106902 & -0.0884351163111333 & -0.200698661069025 & -0.327627231161958 \tabularnewline
93 & 8 & 8.23999813114518 & 0.0105061475950422 & -0.239998131145183 & 0.523554510390187 \tabularnewline
94 & 8.7 & 8.45333782707429 & 0.167615084231247 & 0.246662172925708 & 0.831359048410516 \tabularnewline
95 & 8.7 & 8.4483457844752 & 0.0339334776515998 & 0.251654215524796 & -0.707455390999846 \tabularnewline
96 & 8.6 & 8.56963716256674 & 0.101597528280408 & 0.0303628374332646 & 0.358148376951628 \tabularnewline
97 & 8.5 & 8.65677734067345 & 0.0903979282249818 & -0.156777340673449 & -0.0592712623582209 \tabularnewline
98 & 8.5 & 8.68905069411904 & 0.0453981388092274 & -0.189050694119042 & -0.238056885861396 \tabularnewline
99 & 8.6 & 8.70808019437185 & 0.0250015741132512 & -0.108080194371851 & -0.107928244508108 \tabularnewline
100 & 8.8 & 8.64685154823996 & -0.0417086489905212 & 0.153148451760041 & -0.353174152618606 \tabularnewline
101 & 8.7 & 8.56064411067507 & -0.0761535758086754 & 0.139355889324932 & -0.182310465028362 \tabularnewline
102 & 8.6 & 8.52222816583946 & -0.0469465105765774 & 0.0777718341605352 & 0.154521065036866 \tabularnewline
103 & 8.4 & 8.39240575828055 & -0.1110649507502 & 0.00759424171944883 & -0.339231828123829 \tabularnewline
104 & 8.1 & 8.32067407533758 & -0.0806341408207282 & -0.22067407533758 & 0.161022422095901 \tabularnewline
105 & 8.1 & 8.36786277950849 & 0.0182703938405534 & -0.267862779508495 & 0.52336199622449 \tabularnewline
106 & 8.7 & 8.40985702473891 & 0.0366269953890152 & 0.29014297526109 & 0.0971374569055588 \tabularnewline
107 & 8.7 & 8.46712518264707 & 0.0525975741404374 & 0.232874817352932 & 0.0845190499652153 \tabularnewline
108 & 8.6 & 8.56383648828578 & 0.0867336260768855 & 0.0361635117142199 & 0.180674100825434 \tabularnewline
109 & 8.6 & 8.73602938241964 & 0.152868229110434 & -0.136029382419642 & 0.349977420908425 \tabularnewline
110 & 8.5 & 8.71578102348365 & 0.0189691282027676 & -0.215781023483646 & -0.708375041067966 \tabularnewline
111 & 8.6 & 8.69450529669156 & -0.0121374126146043 & -0.0945052966915634 & -0.164600655186002 \tabularnewline
112 & 8.8 & 8.64547971225534 & -0.0406527466101914 & 0.154520287744656 & -0.150949688211219 \tabularnewline
113 & 8.8 & 8.6598843383386 & 0.00192786439965905 & 0.140115661661401 & 0.225368915240701 \tabularnewline
114 & 8.7 & 8.60593334977094 & -0.0412853563404225 & 0.0940666502290603 & -0.228634445839428 \tabularnewline
115 & 8.5 & 8.50365477391915 & -0.0884385635021077 & -0.00365477391914891 & -0.249473830357998 \tabularnewline
116 & 8.3 & 8.5282846387023 & -0.00103286697138215 & -0.228284638702295 & 0.462491835742587 \tabularnewline
117 & 8.3 & 8.56527943343955 & 0.0283659982399742 & -0.265279433439549 & 0.155567006769232 \tabularnewline
118 & 8.9 & 8.60943905037021 & 0.0405760615160572 & 0.290560949629795 & 0.064612999671619 \tabularnewline
119 & 9 & 8.76398013916296 & 0.128682897431257 & 0.236019860837039 & 0.466281167228427 \tabularnewline
120 & 8.8 & 8.8051829651958 & 0.0610429119950262 & -0.00518296519579741 & -0.357987364250837 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285956&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/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]8.5[/C][C]8.5[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]8.4[/C][C]8.4092724548042[/C][C]-0.0914938638076032[/C][C]-0.00927245480419839[/C][C]-0.5072074187671[/C][/ROW]
[ROW][C]3[/C][C]8.5[/C][C]8.46750678451235[/C][C]0.0310714333505216[/C][C]0.0324932154876523[/C][C]0.692967491827545[/C][/ROW]
[ROW][C]4[/C][C]8.7[/C][C]8.67912398668652[/C][C]0.182051805783306[/C][C]0.0208760133134785[/C][C]0.796479687213399[/C][/ROW]
[ROW][C]5[/C][C]8.7[/C][C]8.72531756193694[/C][C]0.069830991905038[/C][C]-0.0253175619369416[/C][C]-0.593577624871831[/C][/ROW]
[ROW][C]6[/C][C]8.6[/C][C]8.61830726672721[/C][C]-0.0765668468379364[/C][C]-0.0183072667272133[/C][C]-0.774952256162808[/C][/ROW]
[ROW][C]7[/C][C]8.5[/C][C]8.49749650205265[/C][C]-0.113213364920745[/C][C]0.00250349794734983[/C][C]-0.193911714093687[/C][/ROW]
[ROW][C]8[/C][C]8.3[/C][C]8.30756067195717[/C][C]-0.176756641576053[/C][C]-0.00756067195716654[/C][C]-0.336244494793785[/C][/ROW]
[ROW][C]9[/C][C]8[/C][C]8.01227396432946[/C][C]-0.274916558454553[/C][C]-0.0122739643294656[/C][C]-0.519417052634185[/C][/ROW]
[ROW][C]10[/C][C]8.2[/C][C]8.13598838913551[/C][C]0.055204244758133[/C][C]0.0640116108644875[/C][C]1.74684776773755[/C][/ROW]
[ROW][C]11[/C][C]8.1[/C][C]8.12410785412426[/C][C]-0.000351841214656937[/C][C]-0.0241078541242626[/C][C]-0.29397729401354[/C][/ROW]
[ROW][C]12[/C][C]8.1[/C][C]8.09912574580275[/C][C]-0.0207494135609918[/C][C]0.000874254197253022[/C][C]-0.107934583768127[/C][/ROW]
[ROW][C]13[/C][C]8[/C][C]8.01214124635961[/C][C]-0.0755292952353692[/C][C]-0.0121412463596101[/C][C]-0.290373816879483[/C][/ROW]
[ROW][C]14[/C][C]7.9[/C][C]7.92641096705999[/C][C]-0.0839870363391002[/C][C]-0.0264109670599899[/C][C]-0.0453277016204072[/C][/ROW]
[ROW][C]15[/C][C]7.9[/C][C]7.89777017740502[/C][C]-0.0401916402629468[/C][C]0.00222982259498042[/C][C]0.233067849569648[/C][/ROW]
[ROW][C]16[/C][C]8[/C][C]7.95068628241775[/C][C]0.0343486237037494[/C][C]0.0493137175822473[/C][C]0.397027776131182[/C][/ROW]
[ROW][C]17[/C][C]8[/C][C]8.00080779595001[/C][C]0.0469033235312901[/C][C]-0.000807795950011667[/C][C]0.0662713113057303[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]7.93910777594677[/C][C]-0.0394268063970421[/C][C]-0.0391077759467647[/C][C]-0.45701422481773[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]7.96674241849161[/C][C]0.0139422191753865[/C][C]0.0332575815083864[/C][C]0.282425526138705[/C][/ROW]
[ROW][C]20[/C][C]7.7[/C][C]7.71106843613003[/C][C]-0.200658268816235[/C][C]-0.0110684361300313[/C][C]-1.13554744944278[/C][/ROW]
[ROW][C]21[/C][C]7.2[/C][C]7.30961715452414[/C][C]-0.360468961108179[/C][C]-0.109617154524134[/C][C]-0.845648215561059[/C][/ROW]
[ROW][C]22[/C][C]7.5[/C][C]7.35303261636226[/C][C]-0.0390262047838596[/C][C]0.146967383637741[/C][C]1.70093508297191[/C][/ROW]
[ROW][C]23[/C][C]7.3[/C][C]7.33143596586506[/C][C]-0.0251546364785638[/C][C]-0.0314359658650591[/C][C]0.073402523879779[/C][/ROW]
[ROW][C]24[/C][C]7[/C][C]7.03473526808586[/C][C]-0.241169611954765[/C][C]-0.0347352680858617[/C][C]-1.143133107493[/C][/ROW]
[ROW][C]25[/C][C]7[/C][C]6.96962529603219[/C][C]-0.101162937246582[/C][C]0.0303747039678062[/C][C]0.742430542582392[/C][/ROW]
[ROW][C]26[/C][C]7[/C][C]7.01134312036923[/C][C]0.0126039337063795[/C][C]-0.0113431203692323[/C][C]0.602886538382222[/C][/ROW]
[ROW][C]27[/C][C]7.2[/C][C]7.19287274061622[/C][C]0.145239104888901[/C][C]0.00712725938378173[/C][C]0.702191608136619[/C][/ROW]
[ROW][C]28[/C][C]7.3[/C][C]7.27298672910953[/C][C]0.0939276619872858[/C][C]0.0270132708904734[/C][C]-0.272791017814404[/C][/ROW]
[ROW][C]29[/C][C]7.1[/C][C]7.12837304770814[/C][C]-0.0939581514889849[/C][C]-0.0283730477081382[/C][C]-0.99287545932112[/C][/ROW]
[ROW][C]30[/C][C]6.8[/C][C]6.89112908108607[/C][C]-0.206538056140495[/C][C]-0.0911290810860661[/C][C]-0.595576115156176[/C][/ROW]
[ROW][C]31[/C][C]6.4[/C][C]6.35462787401098[/C][C]-0.465977395712763[/C][C]0.045372125989023[/C][C]-1.37313380473217[/C][/ROW]
[ROW][C]32[/C][C]6.1[/C][C]6.02133109032501[/C][C]-0.361610832525432[/C][C]0.0786689096749896[/C][C]0.552248447126131[/C][/ROW]
[ROW][C]33[/C][C]6.5[/C][C]6.55496908497456[/C][C]0.342616131954571[/C][C]-0.0549690849745579[/C][C]3.72643945648222[/C][/ROW]
[ROW][C]34[/C][C]7.7[/C][C]7.48292023393908[/C][C]0.80304097689917[/C][C]0.217079766060916[/C][C]2.4364309824833[/C][/ROW]
[ROW][C]35[/C][C]7.9[/C][C]7.93315583780787[/C][C]0.525579629189118[/C][C]-0.0331558378078672[/C][C]-1.4681794151632[/C][/ROW]
[ROW][C]36[/C][C]7.5[/C][C]7.68345483012504[/C][C]-0.0837938035975729[/C][C]-0.183454830125041[/C][C]-3.22545504671994[/C][/ROW]
[ROW][C]37[/C][C]6.9[/C][C]6.98619838007616[/C][C]-0.566166513962476[/C][C]-0.0861983800761591[/C][C]-2.55669334302053[/C][/ROW]
[ROW][C]38[/C][C]6.6[/C][C]6.61791381465004[/C][C]-0.410621474640372[/C][C]-0.017913814650044[/C][C]0.822922876316391[/C][/ROW]
[ROW][C]39[/C][C]6.9[/C][C]6.80636664627194[/C][C]0.0573201395515808[/C][C]0.0936333537280594[/C][C]2.47613174702057[/C][/ROW]
[ROW][C]40[/C][C]7.7[/C][C]7.54064421463251[/C][C]0.586798399522786[/C][C]0.159355785367489[/C][C]2.80969986266385[/C][/ROW]
[ROW][C]41[/C][C]8[/C][C]8.02392290557123[/C][C]0.505748803694598[/C][C]-0.0239229055712332[/C][C]-0.42869362893283[/C][/ROW]
[ROW][C]42[/C][C]8[/C][C]8.04481691400369[/C][C]0.126895277338879[/C][C]-0.0448169140036909[/C][C]-2.00362452143523[/C][/ROW]
[ROW][C]43[/C][C]7.7[/C][C]7.68998994052452[/C][C]-0.249549592086611[/C][C]0.010010059475481[/C][C]-1.99233193921883[/C][/ROW]
[ROW][C]44[/C][C]7.3[/C][C]7.40389051287085[/C][C]-0.278126696132394[/C][C]-0.103890512870853[/C][C]-0.151219806749231[/C][/ROW]
[ROW][C]45[/C][C]7.4[/C][C]7.55936109357902[/C][C]0.0609284648730864[/C][C]-0.159361093579017[/C][C]1.79411010223125[/C][/ROW]
[ROW][C]46[/C][C]8.1[/C][C]7.83434700543701[/C][C]0.228304001041125[/C][C]0.265652994562993[/C][C]0.885706275256278[/C][/ROW]
[ROW][C]47[/C][C]8.3[/C][C]8.16508656135082[/C][C]0.308375538730685[/C][C]0.134913438649183[/C][C]0.42369704964051[/C][/ROW]
[ROW][C]48[/C][C]8.1[/C][C]8.16581117549215[/C][C]0.0679864809826861[/C][C]-0.06581117549215[/C][C]-1.27256990379244[/C][/ROW]
[ROW][C]49[/C][C]7.9[/C][C]8.01381367793145[/C][C]-0.103993932576618[/C][C]-0.113813677931453[/C][C]-0.911015997089479[/C][/ROW]
[ROW][C]50[/C][C]7.9[/C][C]8.01664501321223[/C][C]-0.0205461314300071[/C][C]-0.116645013212228[/C][C]0.441382175620048[/C][/ROW]
[ROW][C]51[/C][C]8.3[/C][C]8.33353077160107[/C][C]0.242100065158444[/C][C]-0.0335307716010659[/C][C]1.38974484414658[/C][/ROW]
[ROW][C]52[/C][C]8.6[/C][C]8.47737824424762[/C][C]0.165572239898252[/C][C]0.122621755752378[/C][C]-0.405676159172452[/C][/ROW]
[ROW][C]53[/C][C]8.7[/C][C]8.6315009467838[/C][C]0.156644193390605[/C][C]0.0684990532161961[/C][C]-0.0472429222111885[/C][/ROW]
[ROW][C]54[/C][C]8.5[/C][C]8.47050723763053[/C][C]-0.090711568671168[/C][C]0.029492762369469[/C][C]-1.30816200155102[/C][/ROW]
[ROW][C]55[/C][C]8.3[/C][C]8.26802857639419[/C][C]-0.177725679216376[/C][C]0.0319714236058071[/C][C]-0.460467556706835[/C][/ROW]
[ROW][C]56[/C][C]8[/C][C]8.17530541349998[/C][C]-0.111517590108733[/C][C]-0.175305413499975[/C][C]0.350358475182495[/C][/ROW]
[ROW][C]57[/C][C]8[/C][C]8.19681083575376[/C][C]-0.00788742865279098[/C][C]-0.196810835753757[/C][C]0.548358639173948[/C][/ROW]
[ROW][C]58[/C][C]8.8[/C][C]8.52166820263665[/C][C]0.251318925427228[/C][C]0.278331797363354[/C][C]1.37162815967926[/C][/ROW]
[ROW][C]59[/C][C]8.7[/C][C]8.53726130847085[/C][C]0.0677475171545369[/C][C]0.162738691529154[/C][C]-0.971392862651179[/C][/ROW]
[ROW][C]60[/C][C]8.5[/C][C]8.5115642016844[/C][C]-0.0050083916824421[/C][C]-0.0115642016844004[/C][C]-0.385161807291469[/C][/ROW]
[ROW][C]61[/C][C]8.1[/C][C]8.26979473994565[/C][C]-0.189433469659178[/C][C]-0.169794739945646[/C][C]-0.976545411887845[/C][/ROW]
[ROW][C]62[/C][C]7.8[/C][C]8.01077413779731[/C][C]-0.243592234672281[/C][C]-0.210774137797309[/C][C]-0.286466080508209[/C][/ROW]
[ROW][C]63[/C][C]7.7[/C][C]7.73369605868688[/C][C]-0.269593845093331[/C][C]-0.0336960586868826[/C][C]-0.137583925487011[/C][/ROW]
[ROW][C]64[/C][C]7.5[/C][C]7.39906123564684[/C][C]-0.320118241026624[/C][C]0.100938764353162[/C][C]-0.267674650424384[/C][/ROW]
[ROW][C]65[/C][C]7.2[/C][C]7.05929557066524[/C][C]-0.335395700459318[/C][C]0.140704429334758[/C][C]-0.0808547412606695[/C][/ROW]
[ROW][C]66[/C][C]6.9[/C][C]6.81539209922054[/C][C]-0.264311902010797[/C][C]0.0846079007794553[/C][C]0.375967007426056[/C][/ROW]
[ROW][C]67[/C][C]6.6[/C][C]6.56744164564615[/C][C]-0.251605246687452[/C][C]0.0325583543538507[/C][C]0.0672349038435722[/C][/ROW]
[ROW][C]68[/C][C]6.5[/C][C]6.64907962983451[/C][C]0.00728716474903773[/C][C]-0.14907962983451[/C][C]1.36999923455026[/C][/ROW]
[ROW][C]69[/C][C]6.6[/C][C]6.85675301147425[/C][C]0.162998203913676[/C][C]-0.256753011474249[/C][C]0.823947485943624[/C][/ROW]
[ROW][C]70[/C][C]7.7[/C][C]7.33403528497877[/C][C]0.4072016693365[/C][C]0.36596471502123[/C][C]1.29221989444672[/C][/ROW]
[ROW][C]71[/C][C]8[/C][C]7.81988505015171[/C][C]0.468296576179937[/C][C]0.180114949848286[/C][C]0.323303246961897[/C][/ROW]
[ROW][C]72[/C][C]7.7[/C][C]7.75242086947558[/C][C]0.0521285547679474[/C][C]-0.0524208694755831[/C][C]-2.20305596054277[/C][/ROW]
[ROW][C]73[/C][C]7.3[/C][C]7.50532503899413[/C][C]-0.18037911151479[/C][C]-0.205325038994131[/C][C]-1.23082775252863[/C][/ROW]
[ROW][C]74[/C][C]7[/C][C]7.22590145528408[/C][C]-0.257279710887828[/C][C]-0.225901455284084[/C][C]-0.406778007608252[/C][/ROW]
[ROW][C]75[/C][C]7[/C][C]7.0112778345844[/C][C]-0.224213254986536[/C][C]-0.0112778345844035[/C][C]0.174968444280465[/C][/ROW]
[ROW][C]76[/C][C]7.3[/C][C]7.12988802680515[/C][C]0.0416109274505611[/C][C]0.170111973194847[/C][C]1.40782642545894[/C][/ROW]
[ROW][C]77[/C][C]7.3[/C][C]7.16122886545123[/C][C]0.0336409705478826[/C][C]0.13877113454877[/C][C]-0.0421829321158039[/C][/ROW]
[ROW][C]78[/C][C]7.1[/C][C]7.0153719859886[/C][C]-0.105587205214931[/C][C]0.0846280140113956[/C][C]-0.736466390572726[/C][/ROW]
[ROW][C]79[/C][C]7.1[/C][C]7.08916881732661[/C][C]0.0334924575476793[/C][C]0.010831182673394[/C][C]0.735864266551328[/C][/ROW]
[ROW][C]80[/C][C]7[/C][C]7.18252170551041[/C][C]0.0799129178200026[/C][C]-0.182521705510412[/C][C]0.245641998519424[/C][/ROW]
[ROW][C]81[/C][C]7[/C][C]7.33961662977381[/C][C]0.139778305671664[/C][C]-0.339616629773808[/C][C]0.31678031412642[/C][/ROW]
[ROW][C]82[/C][C]7.5[/C][C]7.22507507847693[/C][C]-0.0574750760065921[/C][C]0.274924921523073[/C][C]-1.04377819390045[/C][/ROW]
[ROW][C]83[/C][C]7.8[/C][C]7.46369280489387[/C][C]0.172135524028099[/C][C]0.336307195106128[/C][C]1.21509393095353[/C][/ROW]
[ROW][C]84[/C][C]7.9[/C][C]7.8530368573354[/C][C]0.340582055659116[/C][C]0.0469631426646049[/C][C]0.891646683929054[/C][/ROW]
[ROW][C]85[/C][C]8.1[/C][C]8.25890365427623[/C][C]0.391221862172246[/C][C]-0.158903654276227[/C][C]0.268027981278337[/C][/ROW]
[ROW][C]86[/C][C]8.3[/C][C]8.54360527907559[/C][C]0.30865391463747[/C][C]-0.24360527907559[/C][C]-0.43677968235825[/C][/ROW]
[ROW][C]87[/C][C]8.4[/C][C]8.54172599247939[/C][C]0.0682269957200482[/C][C]-0.141725992479393[/C][C]-1.27220965803149[/C][/ROW]
[ROW][C]88[/C][C]8.6[/C][C]8.45040225126028[/C][C]-0.0553273736140565[/C][C]0.149597748739721[/C][C]-0.654210266310191[/C][/ROW]
[ROW][C]89[/C][C]8.5[/C][C]8.32670922759962[/C][C]-0.108304906683955[/C][C]0.173290772400376[/C][C]-0.280400809547384[/C][/ROW]
[ROW][C]90[/C][C]8.4[/C][C]8.33651658061995[/C][C]-0.0168036592247857[/C][C]0.0634834193800476[/C][C]0.484054116740103[/C][/ROW]
[ROW][C]91[/C][C]8.3[/C][C]8.30716577790954[/C][C]-0.0265199375258696[/C][C]-0.00716577790953645[/C][C]-0.0514066146179547[/C][/ROW]
[ROW][C]92[/C][C]8[/C][C]8.20069866106902[/C][C]-0.0884351163111333[/C][C]-0.200698661069025[/C][C]-0.327627231161958[/C][/ROW]
[ROW][C]93[/C][C]8[/C][C]8.23999813114518[/C][C]0.0105061475950422[/C][C]-0.239998131145183[/C][C]0.523554510390187[/C][/ROW]
[ROW][C]94[/C][C]8.7[/C][C]8.45333782707429[/C][C]0.167615084231247[/C][C]0.246662172925708[/C][C]0.831359048410516[/C][/ROW]
[ROW][C]95[/C][C]8.7[/C][C]8.4483457844752[/C][C]0.0339334776515998[/C][C]0.251654215524796[/C][C]-0.707455390999846[/C][/ROW]
[ROW][C]96[/C][C]8.6[/C][C]8.56963716256674[/C][C]0.101597528280408[/C][C]0.0303628374332646[/C][C]0.358148376951628[/C][/ROW]
[ROW][C]97[/C][C]8.5[/C][C]8.65677734067345[/C][C]0.0903979282249818[/C][C]-0.156777340673449[/C][C]-0.0592712623582209[/C][/ROW]
[ROW][C]98[/C][C]8.5[/C][C]8.68905069411904[/C][C]0.0453981388092274[/C][C]-0.189050694119042[/C][C]-0.238056885861396[/C][/ROW]
[ROW][C]99[/C][C]8.6[/C][C]8.70808019437185[/C][C]0.0250015741132512[/C][C]-0.108080194371851[/C][C]-0.107928244508108[/C][/ROW]
[ROW][C]100[/C][C]8.8[/C][C]8.64685154823996[/C][C]-0.0417086489905212[/C][C]0.153148451760041[/C][C]-0.353174152618606[/C][/ROW]
[ROW][C]101[/C][C]8.7[/C][C]8.56064411067507[/C][C]-0.0761535758086754[/C][C]0.139355889324932[/C][C]-0.182310465028362[/C][/ROW]
[ROW][C]102[/C][C]8.6[/C][C]8.52222816583946[/C][C]-0.0469465105765774[/C][C]0.0777718341605352[/C][C]0.154521065036866[/C][/ROW]
[ROW][C]103[/C][C]8.4[/C][C]8.39240575828055[/C][C]-0.1110649507502[/C][C]0.00759424171944883[/C][C]-0.339231828123829[/C][/ROW]
[ROW][C]104[/C][C]8.1[/C][C]8.32067407533758[/C][C]-0.0806341408207282[/C][C]-0.22067407533758[/C][C]0.161022422095901[/C][/ROW]
[ROW][C]105[/C][C]8.1[/C][C]8.36786277950849[/C][C]0.0182703938405534[/C][C]-0.267862779508495[/C][C]0.52336199622449[/C][/ROW]
[ROW][C]106[/C][C]8.7[/C][C]8.40985702473891[/C][C]0.0366269953890152[/C][C]0.29014297526109[/C][C]0.0971374569055588[/C][/ROW]
[ROW][C]107[/C][C]8.7[/C][C]8.46712518264707[/C][C]0.0525975741404374[/C][C]0.232874817352932[/C][C]0.0845190499652153[/C][/ROW]
[ROW][C]108[/C][C]8.6[/C][C]8.56383648828578[/C][C]0.0867336260768855[/C][C]0.0361635117142199[/C][C]0.180674100825434[/C][/ROW]
[ROW][C]109[/C][C]8.6[/C][C]8.73602938241964[/C][C]0.152868229110434[/C][C]-0.136029382419642[/C][C]0.349977420908425[/C][/ROW]
[ROW][C]110[/C][C]8.5[/C][C]8.71578102348365[/C][C]0.0189691282027676[/C][C]-0.215781023483646[/C][C]-0.708375041067966[/C][/ROW]
[ROW][C]111[/C][C]8.6[/C][C]8.69450529669156[/C][C]-0.0121374126146043[/C][C]-0.0945052966915634[/C][C]-0.164600655186002[/C][/ROW]
[ROW][C]112[/C][C]8.8[/C][C]8.64547971225534[/C][C]-0.0406527466101914[/C][C]0.154520287744656[/C][C]-0.150949688211219[/C][/ROW]
[ROW][C]113[/C][C]8.8[/C][C]8.6598843383386[/C][C]0.00192786439965905[/C][C]0.140115661661401[/C][C]0.225368915240701[/C][/ROW]
[ROW][C]114[/C][C]8.7[/C][C]8.60593334977094[/C][C]-0.0412853563404225[/C][C]0.0940666502290603[/C][C]-0.228634445839428[/C][/ROW]
[ROW][C]115[/C][C]8.5[/C][C]8.50365477391915[/C][C]-0.0884385635021077[/C][C]-0.00365477391914891[/C][C]-0.249473830357998[/C][/ROW]
[ROW][C]116[/C][C]8.3[/C][C]8.5282846387023[/C][C]-0.00103286697138215[/C][C]-0.228284638702295[/C][C]0.462491835742587[/C][/ROW]
[ROW][C]117[/C][C]8.3[/C][C]8.56527943343955[/C][C]0.0283659982399742[/C][C]-0.265279433439549[/C][C]0.155567006769232[/C][/ROW]
[ROW][C]118[/C][C]8.9[/C][C]8.60943905037021[/C][C]0.0405760615160572[/C][C]0.290560949629795[/C][C]0.064612999671619[/C][/ROW]
[ROW][C]119[/C][C]9[/C][C]8.76398013916296[/C][C]0.128682897431257[/C][C]0.236019860837039[/C][C]0.466281167228427[/C][/ROW]
[ROW][C]120[/C][C]8.8[/C][C]8.8051829651958[/C][C]0.0610429119950262[/C][C]-0.00518296519579741[/C][C]-0.357987364250837[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285956&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285956&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
tObservedLevelSlopeSeasonalStand. Residuals
18.58.5000
28.48.4092724548042-0.0914938638076032-0.00927245480419839-0.5072074187671
38.58.467506784512350.03107143335052160.03249321548765230.692967491827545
48.78.679123986686520.1820518057833060.02087601331347850.796479687213399
58.78.725317561936940.069830991905038-0.0253175619369416-0.593577624871831
68.68.61830726672721-0.0765668468379364-0.0183072667272133-0.774952256162808
78.58.49749650205265-0.1132133649207450.00250349794734983-0.193911714093687
88.38.30756067195717-0.176756641576053-0.00756067195716654-0.336244494793785
988.01227396432946-0.274916558454553-0.0122739643294656-0.519417052634185
108.28.135988389135510.0552042447581330.06401161086448751.74684776773755
118.18.12410785412426-0.000351841214656937-0.0241078541242626-0.29397729401354
128.18.09912574580275-0.02074941356099180.000874254197253022-0.107934583768127
1388.01214124635961-0.0755292952353692-0.0121412463596101-0.290373816879483
147.97.92641096705999-0.0839870363391002-0.0264109670599899-0.0453277016204072
157.97.89777017740502-0.04019164026294680.002229822594980420.233067849569648
1687.950686282417750.03434862370374940.04931371758224730.397027776131182
1788.000807795950010.0469033235312901-0.0008077959500116670.0662713113057303
187.97.93910777594677-0.0394268063970421-0.0391077759467647-0.45701422481773
1987.966742418491610.01394221917538650.03325758150838640.282425526138705
207.77.71106843613003-0.200658268816235-0.0110684361300313-1.13554744944278
217.27.30961715452414-0.360468961108179-0.109617154524134-0.845648215561059
227.57.35303261636226-0.03902620478385960.1469673836377411.70093508297191
237.37.33143596586506-0.0251546364785638-0.03143596586505910.073402523879779
2477.03473526808586-0.241169611954765-0.0347352680858617-1.143133107493
2576.96962529603219-0.1011629372465820.03037470396780620.742430542582392
2677.011343120369230.0126039337063795-0.01134312036923230.602886538382222
277.27.192872740616220.1452391048889010.007127259383781730.702191608136619
287.37.272986729109530.09392766198728580.0270132708904734-0.272791017814404
297.17.12837304770814-0.0939581514889849-0.0283730477081382-0.99287545932112
306.86.89112908108607-0.206538056140495-0.0911290810860661-0.595576115156176
316.46.35462787401098-0.4659773957127630.045372125989023-1.37313380473217
326.16.02133109032501-0.3616108325254320.07866890967498960.552248447126131
336.56.554969084974560.342616131954571-0.05496908497455793.72643945648222
347.77.482920233939080.803040976899170.2170797660609162.4364309824833
357.97.933155837807870.525579629189118-0.0331558378078672-1.4681794151632
367.57.68345483012504-0.0837938035975729-0.183454830125041-3.22545504671994
376.96.98619838007616-0.566166513962476-0.0861983800761591-2.55669334302053
386.66.61791381465004-0.410621474640372-0.0179138146500440.822922876316391
396.96.806366646271940.05732013955158080.09363335372805942.47613174702057
407.77.540644214632510.5867983995227860.1593557853674892.80969986266385
4188.023922905571230.505748803694598-0.0239229055712332-0.42869362893283
4288.044816914003690.126895277338879-0.0448169140036909-2.00362452143523
437.77.68998994052452-0.2495495920866110.010010059475481-1.99233193921883
447.37.40389051287085-0.278126696132394-0.103890512870853-0.151219806749231
457.47.559361093579020.0609284648730864-0.1593610935790171.79411010223125
468.17.834347005437010.2283040010411250.2656529945629930.885706275256278
478.38.165086561350820.3083755387306850.1349134386491830.42369704964051
488.18.165811175492150.0679864809826861-0.06581117549215-1.27256990379244
497.98.01381367793145-0.103993932576618-0.113813677931453-0.911015997089479
507.98.01664501321223-0.0205461314300071-0.1166450132122280.441382175620048
518.38.333530771601070.242100065158444-0.03353077160106591.38974484414658
528.68.477378244247620.1655722398982520.122621755752378-0.405676159172452
538.78.63150094678380.1566441933906050.0684990532161961-0.0472429222111885
548.58.47050723763053-0.0907115686711680.029492762369469-1.30816200155102
558.38.26802857639419-0.1777256792163760.0319714236058071-0.460467556706835
5688.17530541349998-0.111517590108733-0.1753054134999750.350358475182495
5788.19681083575376-0.00788742865279098-0.1968108357537570.548358639173948
588.88.521668202636650.2513189254272280.2783317973633541.37162815967926
598.78.537261308470850.06774751715453690.162738691529154-0.971392862651179
608.58.5115642016844-0.0050083916824421-0.0115642016844004-0.385161807291469
618.18.26979473994565-0.189433469659178-0.169794739945646-0.976545411887845
627.88.01077413779731-0.243592234672281-0.210774137797309-0.286466080508209
637.77.73369605868688-0.269593845093331-0.0336960586868826-0.137583925487011
647.57.39906123564684-0.3201182410266240.100938764353162-0.267674650424384
657.27.05929557066524-0.3353957004593180.140704429334758-0.0808547412606695
666.96.81539209922054-0.2643119020107970.08460790077945530.375967007426056
676.66.56744164564615-0.2516052466874520.03255835435385070.0672349038435722
686.56.649079629834510.00728716474903773-0.149079629834511.36999923455026
696.66.856753011474250.162998203913676-0.2567530114742490.823947485943624
707.77.334035284978770.40720166933650.365964715021231.29221989444672
7187.819885050151710.4682965761799370.1801149498482860.323303246961897
727.77.752420869475580.0521285547679474-0.0524208694755831-2.20305596054277
737.37.50532503899413-0.18037911151479-0.205325038994131-1.23082775252863
7477.22590145528408-0.257279710887828-0.225901455284084-0.406778007608252
7577.0112778345844-0.224213254986536-0.01127783458440350.174968444280465
767.37.129888026805150.04161092745056110.1701119731948471.40782642545894
777.37.161228865451230.03364097054788260.13877113454877-0.0421829321158039
787.17.0153719859886-0.1055872052149310.0846280140113956-0.736466390572726
797.17.089168817326610.03349245754767930.0108311826733940.735864266551328
8077.182521705510410.0799129178200026-0.1825217055104120.245641998519424
8177.339616629773810.139778305671664-0.3396166297738080.31678031412642
827.57.22507507847693-0.05747507600659210.274924921523073-1.04377819390045
837.87.463692804893870.1721355240280990.3363071951061281.21509393095353
847.97.85303685733540.3405820556591160.04696314266460490.891646683929054
858.18.258903654276230.391221862172246-0.1589036542762270.268027981278337
868.38.543605279075590.30865391463747-0.24360527907559-0.43677968235825
878.48.541725992479390.0682269957200482-0.141725992479393-1.27220965803149
888.68.45040225126028-0.05532737361405650.149597748739721-0.654210266310191
898.58.32670922759962-0.1083049066839550.173290772400376-0.280400809547384
908.48.33651658061995-0.01680365922478570.06348341938004760.484054116740103
918.38.30716577790954-0.0265199375258696-0.00716577790953645-0.0514066146179547
9288.20069866106902-0.0884351163111333-0.200698661069025-0.327627231161958
9388.239998131145180.0105061475950422-0.2399981311451830.523554510390187
948.78.453337827074290.1676150842312470.2466621729257080.831359048410516
958.78.44834578447520.03393347765159980.251654215524796-0.707455390999846
968.68.569637162566740.1015975282804080.03036283743326460.358148376951628
978.58.656777340673450.0903979282249818-0.156777340673449-0.0592712623582209
988.58.689050694119040.0453981388092274-0.189050694119042-0.238056885861396
998.68.708080194371850.0250015741132512-0.108080194371851-0.107928244508108
1008.88.64685154823996-0.04170864899052120.153148451760041-0.353174152618606
1018.78.56064411067507-0.07615357580867540.139355889324932-0.182310465028362
1028.68.52222816583946-0.04694651057657740.07777183416053520.154521065036866
1038.48.39240575828055-0.11106495075020.00759424171944883-0.339231828123829
1048.18.32067407533758-0.0806341408207282-0.220674075337580.161022422095901
1058.18.367862779508490.0182703938405534-0.2678627795084950.52336199622449
1068.78.409857024738910.03662699538901520.290142975261090.0971374569055588
1078.78.467125182647070.05259757414043740.2328748173529320.0845190499652153
1088.68.563836488285780.08673362607688550.03616351171421990.180674100825434
1098.68.736029382419640.152868229110434-0.1360293824196420.349977420908425
1108.58.715781023483650.0189691282027676-0.215781023483646-0.708375041067966
1118.68.69450529669156-0.0121374126146043-0.0945052966915634-0.164600655186002
1128.88.64547971225534-0.04065274661019140.154520287744656-0.150949688211219
1138.88.65988433833860.001927864399659050.1401156616614010.225368915240701
1148.78.60593334977094-0.04128535634042250.0940666502290603-0.228634445839428
1158.58.50365477391915-0.0884385635021077-0.00365477391914891-0.249473830357998
1168.38.5282846387023-0.00103286697138215-0.2282846387022950.462491835742587
1178.38.565279433439550.0283659982399742-0.2652794334395490.155567006769232
1188.98.609439050370210.04057606151605720.2905609496297950.064612999671619
11998.763980139162960.1286828974312570.2360198608370390.466281167228427
1208.88.80518296519580.0610429119950262-0.00518296519579741-0.357987364250837



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$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()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',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')