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Description of Statistical Computation

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 computationSun, 26 Dec 2010 13:34:39 +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/2010/Dec/26/t12933704489gelqhclm6j7am5.htm/, Retrieved Fri, 09 May 2025 12:28:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115607, Retrieved Fri, 09 May 2025 12:28:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact336

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [74be16979710d4c4e7c6647856088456]
- R  D    [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:33:35] [74be16979710d4c4e7c6647856088456]
-  M D      [Structural Time Series Models] [WS5 - monthly bir...] [2010-12-08 15:29:30] [8ed0bd3560b9ca2814a2ed0a29182575]
-    D          [Structural Time Series Models] [STSM Yuan] [2010-12-26 13:34:39] [c9d5faca36bd2ada281161976df30bf1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,4271
7,7662
7,6289
7,5281
7,3831
7,2355
7,0617
7,1237
7,4533
7,5411
7,4978
7,3525
7,3862
7,311
7,2013
7,249
7,3321
7,59
7,9082
8,2123
8,0929
8,118
8,1206
8,2883
8,4281
8,7917
8,9168
8,9446
8,9786
9,5862
9,6533
9,4125
9,2195
9,2882
9,6774
9,6857
10,1688
10,4399
10,4675
10,149
9,9163
9,9268
10,0529
10,1622
10,083
10,1134
10,3423
10,7536
11,0967
10,8588
10,7719
10,9262
10,708
10,5062
10,0683
9,8954
9,9589
9,9177
9,7189
9,5273
9,5746
9,763
9,6117
9,6581
9,8361
10,2353
10,1285
10,1347
10,2141
10,0971
9,9651
10,1286
10,3356
10,1238
10,1326
10,2467
10,44
10,3689
10,2415
10,3899
10,3162
10,4533
10,6741
10,8957
10,7404
10,6568
10,5682
10,9833
11,0237
10,8462
10,7287
10,7809
10,2609
9,8252
9,1071
8,695
9,2205
9,0496
8,7406
8,921
9,011
9,3157
9,5786
9,6246
9,7485
9,9431
10,1152
10,1827
9,9777
9,7436
9,3462
9,2623
9,1505
8,5794
8,3245
8,6538
8,752
8,8104
9,2665
9,0895

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 6 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115607&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115607&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115607&T=0

As an alternative you can also use a QR Code:  
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 time6 seconds
R Server'George Udny Yule' @ 72.249.76.132






Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
17.42717.4271000
27.76627.748566799278010.01763319952923590.01763320072199040.825877318167806
37.62897.611884064599560.01701593540044430.0170159354004442-0.661595985910299
47.52817.511551588180150.01654841181984620.0165484118198463-0.503101789956956
57.38317.367190119489470.01590988051052730.0159098805105273-0.689855194930098
67.23557.220233859213980.0152661407860180.015266140786018-0.698236648345201
77.06177.047175295103180.01452470489682250.0145247048968225-0.807375867194713
87.12377.108989844720970.01471015527902650.01471015527902650.202737000576945
97.45337.437364592336420.01593540766358250.01593540766358251.34470590560733
107.54117.524886047388920.01621395261107660.01621395261107660.306892949711581
117.49787.481815831002850.01598416899714840.0159841689971483-0.254152275382592
127.35257.337136154765030.01536384523497190.0153638452349720-0.688763596946793
137.38627.490827031203380.00951154773345023-0.1046270312033760.716470157387364
147.3117.306188541130650.004811453868740140.00481145886935236-0.708145117511599
157.20137.196696371179130.004603628820868750.00460362882086866-0.489519150764006
167.2497.244318298031870.004681701968131930.004681701968131970.184230783904569
177.33217.327276492771230.004823507228764480.004823507228764550.335227487381897
187.597.584719675932750.005280324067252840.005280324067252831.08186912529155
197.90827.902355856617330.005844143382673130.005844143382673121.33769313735252
208.21238.205919425145030.006380574854974250.006380574854974261.27500918252747
218.09298.086745243084930.006154756915067790.00615475691506778-0.537698233757084
228.1188.111811291031630.006188708968369010.006188708968369020.080988977620993
238.12068.114417710905460.006182289094539320.0061822890945393-0.0153413886407199
248.28838.28182928638140.006470713618607320.006470713618607380.690473917528906
258.42818.461791334254790.00306284801665976-0.03369133425478890.818601556492607
268.79178.783685169401020.008014822471157760.008014830598977781.24003322931279
278.91688.908647591838220.008152408161777940.008152408161777870.500681867600775
288.94468.936424531279380.0081754687206160.008175468720616040.0840174597427016
298.97868.970394256324030.008205743675966350.008205743675966340.110431498653719
309.58629.57729238936040.008907610639606190.008907610639606192.56314628831903
319.65339.644324328071470.008975671928526980.0089756719285270.248844074632262
329.41259.403816122144180.008683877855823370.00868387785582337-1.06809909581460
339.21959.211051459275630.008448540724371340.00844854072437132-0.862447943432769
349.28829.279681236114390.008518763885612430.008518763885612440.257649659802235
359.67749.668438068106710.008961931893286860.008961931893286871.62788517945411
369.68579.676738837795130.008961162204872280.00896116220487235-0.00283058303596371
3710.168810.19562721473610.00243883702459244-0.02682721473605722.3302832078919
3810.439910.43475494860310.005145042337246130.005145051396871490.946054341828682
3910.467510.46233544851620.005164551483825810.005164551483825740.0960370709468288
4010.14910.14411640741070.004883592589260550.00488359258926065-1.38427315174270
419.91639.911622464359830.004677535640168240.004677535640168-1.01611594756798
429.92689.92211741889530.004682581104697570.004682581104697580.0249019768194336
4310.052910.04811229555810.004787704441893350.004787704441893360.519287830573666
4410.162210.15732188697150.004878113028524470.004878113028524450.44698680027863
4510.08310.07819455606190.004805443938105910.00480544393810588-0.359592338651841
4610.113410.10857245367540.004827546324582310.004827546324582320.109464988891711
4710.342310.33727912104460.005020878955371480.005020878955371490.958332613345804
4810.753610.74822888032090.005371119679112640.005371119679112711.73761062708716
4911.096711.11779320519670.00191756317614841-0.02109320519666071.63754274746305
5010.858810.8592388201639-0.00043882862533931-0.000438820163883977-1.05700731964457
5110.771910.7723984161219-0.000498416121887206-0.000498416121887273-0.369816768412151
5210.926210.9265918056032-0.000391805603189859-0.0003918056031898060.662113049167792
5310.70810.7085417080633-0.000541708063327919-0.000541708063328226-0.931622464493622
5410.506210.5068801250963-0.00068012509632438-0.000680125096324359-0.86083441836604
5510.068310.0692806199662-0.000980619966180281-0.000980619966180217-1.87010434255196
569.89549.89649869650684-0.00109869650683532-0.00109869650683532-0.73534455672841
579.95899.95995435970504-0.00105435970503512-0.001054359705035160.276305737273075
589.91779.91878189444785-0.00108189444784958-0.00108189444784959-0.171713578639576
599.71899.7201174106768-0.00121741067680137-0.00121741067680139-0.845693111439456
609.52739.52864780975836-0.00134780975835926-0.00134780975835916-0.814317341839422
619.57469.5572887373518-0.0015737523204210.01731126264818840.133525103871349
629.7639.76302221599718-2.22303268542917e-05-2.22159971758409e-050.849405033275063
639.61179.6118086257439-0.000108625743893207-0.000108625743893309-0.647092334169511
649.65819.65818207971288-8.20797128773598e-05-8.20797128773532e-050.198941214799181
659.83619.836080492628721.95073712810654e-051.95073712808516e-050.761748395622014
6610.235310.2350529095790.0002470904209961120.0002470904209961051.70749998983046
6710.128510.12831390509910.0001860949009136750.000186094900913739-0.457895460541517
6810.134710.13451048032250.0001895196775402220.0001895196775402160.0257245692638785
6910.214110.21386539750210.0002346024978590560.0002346024978590390.338824072597873
7010.097110.09693208388110.0001679161188847550.000167916118884758-0.501472933122704
719.96519.965007222013249.27779867556013e-059.27779867555776e-05-0.565350518289300
7210.128610.12841437695980.000185623040191710.0001856230401918030.698977295694115
7310.335610.3241947314723-0.001036844164257140.01140526852769790.865187932216387
7410.123810.1260944738573-0.0022944897398976-0.00229447385732355-0.812833396653992
7510.132610.1348890803987-0.00228908039872485-0.002289080398724960.0474588583440954
7610.246710.2489323605446-0.00223236054463706-0.002232360544637050.497876496958151
7710.4410.4421371182350-0.00213711823503504-0.002137118235035300.836427076632708
7810.368910.3710706931705-0.00217069317047501-0.00217069317047502-0.295001954014176
7910.241510.2437316320374-0.00223163203738306-0.00223163203738299-0.535692442765182
8010.389910.3920583675871-0.00215836758709928-0.002158367587099300.644355850244483
8110.316210.3183931472027-0.00219314720271426-0.00219314720271427-0.306033163223771
8210.453310.4554254634228-0.00212546342281789-0.002125463422817870.595853436012474
8310.674110.6761171945650-0.00201719456496722-0.002017194564967260.953606991469831
8410.895710.8976086424729-0.00190864247285206-0.001908642472851960.956566118672814
8510.740410.7291856447054-0.001019488035651760.0112143552945983-0.733096489221792
8610.656810.6582086272326-0.00140863983037296-0.00140862723257189-0.289969789961864
8710.568210.5696457269530-0.00144572695298487-0.00144572695298498-0.372989184023579
8810.983310.9845686240732-0.00126862407319025-0.001268624073190251.78190922424800
8911.023711.0249509153402-0.00125091534020962-0.001250915340209850.178251047854762
9010.846210.8475257875530-0.00132578755295218-0.00132578755295220-0.75396266519479
9110.728710.7300751184579-0.00137511845786048-0.00137511845786038-0.496972945510703
9210.780910.7822523785809-0.00135237858091410-0.001352378580914120.229184999542216
9310.260910.2624724243711-0.00157242437110091-0.00157242437110094-2.2186841393223
949.82529.8269565328663-0.00175653286630728-0.00175653286630727-1.85712227994783
959.10719.10916019708398-0.00206019708397825-0.00206019708397833-3.06439306605472
968.6958.69723394286558-0.00223394286557603-0.00223394286557591-1.75407929214146
979.22059.17149612413693-0.004454899698576980.04900387586307092.09041248191656
989.04969.05460915222478-0.00500917223789506-0.00500915222477997-0.467769222051947
998.74068.74572384318586-0.00512384318586281-0.00512384318586302-1.30045029130411
1008.9218.92605388693901-0.00505388693901072-0.005053886939010740.793657405081196
1019.0119.01601805808482-0.00501805808481796-0.005018058084818130.406633591233611
1029.31579.32060135941713-0.00490135941712902-0.004901359417129071.32495134319441
1039.57869.58340049254804-0.0048004925480378-0.00480049254803771.14563483398549
1049.62469.62938136584386-0.00478136584385678-0.004781365843856840.21732084594893
1059.74859.75323293473685-0.00473293473684889-0.00473293473684890.550489648082331
1069.94319.9477579411074-0.00465794110739321-0.004657941107393150.85273204979304
10710.115210.1197914657187-0.00459146571873962-0.004591465718739690.756157893846958
10810.182710.1872643636460-0.004564363645976-0.004564363645975820.308402182078795
1099.97779.93859600195647-0.003554910857741630.0391039980435285-1.06794725927161
1109.74369.74798286374374-0.00438288378423411-0.0043828637437393-0.780547988618482
1119.34629.35071606568596-0.00451606568596075-0.00451606568596104-1.68133044681761
1129.26239.26684295728252-0.00454295728251458-0.00454295728251455-0.339605162554386
1139.15059.15507927869193-0.00457927869193504-0.00457927869193530-0.458846589450193
1148.57948.58417105971429-0.00477105971428671-0.00477105971428675-2.42358085906393
1158.32458.32935570578031-0.00485570578030867-0.00485570578030855-1.07005396962358
1168.65388.65854266249459-0.00474266249458824-0.004742662494588311.42952134810355
1178.7528.7567078492587-0.00470784925870629-0.00470784925870630.44038973311464
1188.81048.81508651460832-0.00468651460832123-0.004686514608321170.269976021682733
1199.26659.27103079076425-0.00453079076425134-0.004530790764251381.97124951379478
1209.08959.09408905743197-0.00458905743197106-0.00458905743197088-0.737825117461123

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 7.4271 & 7.4271 & 0 & 0 & 0 \tabularnewline
2 & 7.7662 & 7.74856679927801 & 0.0176331995292359 & 0.0176332007219904 & 0.825877318167806 \tabularnewline
3 & 7.6289 & 7.61188406459956 & 0.0170159354004443 & 0.0170159354004442 & -0.661595985910299 \tabularnewline
4 & 7.5281 & 7.51155158818015 & 0.0165484118198462 & 0.0165484118198463 & -0.503101789956956 \tabularnewline
5 & 7.3831 & 7.36719011948947 & 0.0159098805105273 & 0.0159098805105273 & -0.689855194930098 \tabularnewline
6 & 7.2355 & 7.22023385921398 & 0.015266140786018 & 0.015266140786018 & -0.698236648345201 \tabularnewline
7 & 7.0617 & 7.04717529510318 & 0.0145247048968225 & 0.0145247048968225 & -0.807375867194713 \tabularnewline
8 & 7.1237 & 7.10898984472097 & 0.0147101552790265 & 0.0147101552790265 & 0.202737000576945 \tabularnewline
9 & 7.4533 & 7.43736459233642 & 0.0159354076635825 & 0.0159354076635825 & 1.34470590560733 \tabularnewline
10 & 7.5411 & 7.52488604738892 & 0.0162139526110766 & 0.0162139526110766 & 0.306892949711581 \tabularnewline
11 & 7.4978 & 7.48181583100285 & 0.0159841689971484 & 0.0159841689971483 & -0.254152275382592 \tabularnewline
12 & 7.3525 & 7.33713615476503 & 0.0153638452349719 & 0.0153638452349720 & -0.688763596946793 \tabularnewline
13 & 7.3862 & 7.49082703120338 & 0.00951154773345023 & -0.104627031203376 & 0.716470157387364 \tabularnewline
14 & 7.311 & 7.30618854113065 & 0.00481145386874014 & 0.00481145886935236 & -0.708145117511599 \tabularnewline
15 & 7.2013 & 7.19669637117913 & 0.00460362882086875 & 0.00460362882086866 & -0.489519150764006 \tabularnewline
16 & 7.249 & 7.24431829803187 & 0.00468170196813193 & 0.00468170196813197 & 0.184230783904569 \tabularnewline
17 & 7.3321 & 7.32727649277123 & 0.00482350722876448 & 0.00482350722876455 & 0.335227487381897 \tabularnewline
18 & 7.59 & 7.58471967593275 & 0.00528032406725284 & 0.00528032406725283 & 1.08186912529155 \tabularnewline
19 & 7.9082 & 7.90235585661733 & 0.00584414338267313 & 0.00584414338267312 & 1.33769313735252 \tabularnewline
20 & 8.2123 & 8.20591942514503 & 0.00638057485497425 & 0.00638057485497426 & 1.27500918252747 \tabularnewline
21 & 8.0929 & 8.08674524308493 & 0.00615475691506779 & 0.00615475691506778 & -0.537698233757084 \tabularnewline
22 & 8.118 & 8.11181129103163 & 0.00618870896836901 & 0.00618870896836902 & 0.080988977620993 \tabularnewline
23 & 8.1206 & 8.11441771090546 & 0.00618228909453932 & 0.0061822890945393 & -0.0153413886407199 \tabularnewline
24 & 8.2883 & 8.2818292863814 & 0.00647071361860732 & 0.00647071361860738 & 0.690473917528906 \tabularnewline
25 & 8.4281 & 8.46179133425479 & 0.00306284801665976 & -0.0336913342547889 & 0.818601556492607 \tabularnewline
26 & 8.7917 & 8.78368516940102 & 0.00801482247115776 & 0.00801483059897778 & 1.24003322931279 \tabularnewline
27 & 8.9168 & 8.90864759183822 & 0.00815240816177794 & 0.00815240816177787 & 0.500681867600775 \tabularnewline
28 & 8.9446 & 8.93642453127938 & 0.008175468720616 & 0.00817546872061604 & 0.0840174597427016 \tabularnewline
29 & 8.9786 & 8.97039425632403 & 0.00820574367596635 & 0.00820574367596634 & 0.110431498653719 \tabularnewline
30 & 9.5862 & 9.5772923893604 & 0.00890761063960619 & 0.00890761063960619 & 2.56314628831903 \tabularnewline
31 & 9.6533 & 9.64432432807147 & 0.00897567192852698 & 0.008975671928527 & 0.248844074632262 \tabularnewline
32 & 9.4125 & 9.40381612214418 & 0.00868387785582337 & 0.00868387785582337 & -1.06809909581460 \tabularnewline
33 & 9.2195 & 9.21105145927563 & 0.00844854072437134 & 0.00844854072437132 & -0.862447943432769 \tabularnewline
34 & 9.2882 & 9.27968123611439 & 0.00851876388561243 & 0.00851876388561244 & 0.257649659802235 \tabularnewline
35 & 9.6774 & 9.66843806810671 & 0.00896193189328686 & 0.00896193189328687 & 1.62788517945411 \tabularnewline
36 & 9.6857 & 9.67673883779513 & 0.00896116220487228 & 0.00896116220487235 & -0.00283058303596371 \tabularnewline
37 & 10.1688 & 10.1956272147361 & 0.00243883702459244 & -0.0268272147360572 & 2.3302832078919 \tabularnewline
38 & 10.4399 & 10.4347549486031 & 0.00514504233724613 & 0.00514505139687149 & 0.946054341828682 \tabularnewline
39 & 10.4675 & 10.4623354485162 & 0.00516455148382581 & 0.00516455148382574 & 0.0960370709468288 \tabularnewline
40 & 10.149 & 10.1441164074107 & 0.00488359258926055 & 0.00488359258926065 & -1.38427315174270 \tabularnewline
41 & 9.9163 & 9.91162246435983 & 0.00467753564016824 & 0.004677535640168 & -1.01611594756798 \tabularnewline
42 & 9.9268 & 9.9221174188953 & 0.00468258110469757 & 0.00468258110469758 & 0.0249019768194336 \tabularnewline
43 & 10.0529 & 10.0481122955581 & 0.00478770444189335 & 0.00478770444189336 & 0.519287830573666 \tabularnewline
44 & 10.1622 & 10.1573218869715 & 0.00487811302852447 & 0.00487811302852445 & 0.44698680027863 \tabularnewline
45 & 10.083 & 10.0781945560619 & 0.00480544393810591 & 0.00480544393810588 & -0.359592338651841 \tabularnewline
46 & 10.1134 & 10.1085724536754 & 0.00482754632458231 & 0.00482754632458232 & 0.109464988891711 \tabularnewline
47 & 10.3423 & 10.3372791210446 & 0.00502087895537148 & 0.00502087895537149 & 0.958332613345804 \tabularnewline
48 & 10.7536 & 10.7482288803209 & 0.00537111967911264 & 0.00537111967911271 & 1.73761062708716 \tabularnewline
49 & 11.0967 & 11.1177932051967 & 0.00191756317614841 & -0.0210932051966607 & 1.63754274746305 \tabularnewline
50 & 10.8588 & 10.8592388201639 & -0.00043882862533931 & -0.000438820163883977 & -1.05700731964457 \tabularnewline
51 & 10.7719 & 10.7723984161219 & -0.000498416121887206 & -0.000498416121887273 & -0.369816768412151 \tabularnewline
52 & 10.9262 & 10.9265918056032 & -0.000391805603189859 & -0.000391805603189806 & 0.662113049167792 \tabularnewline
53 & 10.708 & 10.7085417080633 & -0.000541708063327919 & -0.000541708063328226 & -0.931622464493622 \tabularnewline
54 & 10.5062 & 10.5068801250963 & -0.00068012509632438 & -0.000680125096324359 & -0.86083441836604 \tabularnewline
55 & 10.0683 & 10.0692806199662 & -0.000980619966180281 & -0.000980619966180217 & -1.87010434255196 \tabularnewline
56 & 9.8954 & 9.89649869650684 & -0.00109869650683532 & -0.00109869650683532 & -0.73534455672841 \tabularnewline
57 & 9.9589 & 9.95995435970504 & -0.00105435970503512 & -0.00105435970503516 & 0.276305737273075 \tabularnewline
58 & 9.9177 & 9.91878189444785 & -0.00108189444784958 & -0.00108189444784959 & -0.171713578639576 \tabularnewline
59 & 9.7189 & 9.7201174106768 & -0.00121741067680137 & -0.00121741067680139 & -0.845693111439456 \tabularnewline
60 & 9.5273 & 9.52864780975836 & -0.00134780975835926 & -0.00134780975835916 & -0.814317341839422 \tabularnewline
61 & 9.5746 & 9.5572887373518 & -0.001573752320421 & 0.0173112626481884 & 0.133525103871349 \tabularnewline
62 & 9.763 & 9.76302221599718 & -2.22303268542917e-05 & -2.22159971758409e-05 & 0.849405033275063 \tabularnewline
63 & 9.6117 & 9.6118086257439 & -0.000108625743893207 & -0.000108625743893309 & -0.647092334169511 \tabularnewline
64 & 9.6581 & 9.65818207971288 & -8.20797128773598e-05 & -8.20797128773532e-05 & 0.198941214799181 \tabularnewline
65 & 9.8361 & 9.83608049262872 & 1.95073712810654e-05 & 1.95073712808516e-05 & 0.761748395622014 \tabularnewline
66 & 10.2353 & 10.235052909579 & 0.000247090420996112 & 0.000247090420996105 & 1.70749998983046 \tabularnewline
67 & 10.1285 & 10.1283139050991 & 0.000186094900913675 & 0.000186094900913739 & -0.457895460541517 \tabularnewline
68 & 10.1347 & 10.1345104803225 & 0.000189519677540222 & 0.000189519677540216 & 0.0257245692638785 \tabularnewline
69 & 10.2141 & 10.2138653975021 & 0.000234602497859056 & 0.000234602497859039 & 0.338824072597873 \tabularnewline
70 & 10.0971 & 10.0969320838811 & 0.000167916118884755 & 0.000167916118884758 & -0.501472933122704 \tabularnewline
71 & 9.9651 & 9.96500722201324 & 9.27779867556013e-05 & 9.27779867555776e-05 & -0.565350518289300 \tabularnewline
72 & 10.1286 & 10.1284143769598 & 0.00018562304019171 & 0.000185623040191803 & 0.698977295694115 \tabularnewline
73 & 10.3356 & 10.3241947314723 & -0.00103684416425714 & 0.0114052685276979 & 0.865187932216387 \tabularnewline
74 & 10.1238 & 10.1260944738573 & -0.0022944897398976 & -0.00229447385732355 & -0.812833396653992 \tabularnewline
75 & 10.1326 & 10.1348890803987 & -0.00228908039872485 & -0.00228908039872496 & 0.0474588583440954 \tabularnewline
76 & 10.2467 & 10.2489323605446 & -0.00223236054463706 & -0.00223236054463705 & 0.497876496958151 \tabularnewline
77 & 10.44 & 10.4421371182350 & -0.00213711823503504 & -0.00213711823503530 & 0.836427076632708 \tabularnewline
78 & 10.3689 & 10.3710706931705 & -0.00217069317047501 & -0.00217069317047502 & -0.295001954014176 \tabularnewline
79 & 10.2415 & 10.2437316320374 & -0.00223163203738306 & -0.00223163203738299 & -0.535692442765182 \tabularnewline
80 & 10.3899 & 10.3920583675871 & -0.00215836758709928 & -0.00215836758709930 & 0.644355850244483 \tabularnewline
81 & 10.3162 & 10.3183931472027 & -0.00219314720271426 & -0.00219314720271427 & -0.306033163223771 \tabularnewline
82 & 10.4533 & 10.4554254634228 & -0.00212546342281789 & -0.00212546342281787 & 0.595853436012474 \tabularnewline
83 & 10.6741 & 10.6761171945650 & -0.00201719456496722 & -0.00201719456496726 & 0.953606991469831 \tabularnewline
84 & 10.8957 & 10.8976086424729 & -0.00190864247285206 & -0.00190864247285196 & 0.956566118672814 \tabularnewline
85 & 10.7404 & 10.7291856447054 & -0.00101948803565176 & 0.0112143552945983 & -0.733096489221792 \tabularnewline
86 & 10.6568 & 10.6582086272326 & -0.00140863983037296 & -0.00140862723257189 & -0.289969789961864 \tabularnewline
87 & 10.5682 & 10.5696457269530 & -0.00144572695298487 & -0.00144572695298498 & -0.372989184023579 \tabularnewline
88 & 10.9833 & 10.9845686240732 & -0.00126862407319025 & -0.00126862407319025 & 1.78190922424800 \tabularnewline
89 & 11.0237 & 11.0249509153402 & -0.00125091534020962 & -0.00125091534020985 & 0.178251047854762 \tabularnewline
90 & 10.8462 & 10.8475257875530 & -0.00132578755295218 & -0.00132578755295220 & -0.75396266519479 \tabularnewline
91 & 10.7287 & 10.7300751184579 & -0.00137511845786048 & -0.00137511845786038 & -0.496972945510703 \tabularnewline
92 & 10.7809 & 10.7822523785809 & -0.00135237858091410 & -0.00135237858091412 & 0.229184999542216 \tabularnewline
93 & 10.2609 & 10.2624724243711 & -0.00157242437110091 & -0.00157242437110094 & -2.2186841393223 \tabularnewline
94 & 9.8252 & 9.8269565328663 & -0.00175653286630728 & -0.00175653286630727 & -1.85712227994783 \tabularnewline
95 & 9.1071 & 9.10916019708398 & -0.00206019708397825 & -0.00206019708397833 & -3.06439306605472 \tabularnewline
96 & 8.695 & 8.69723394286558 & -0.00223394286557603 & -0.00223394286557591 & -1.75407929214146 \tabularnewline
97 & 9.2205 & 9.17149612413693 & -0.00445489969857698 & 0.0490038758630709 & 2.09041248191656 \tabularnewline
98 & 9.0496 & 9.05460915222478 & -0.00500917223789506 & -0.00500915222477997 & -0.467769222051947 \tabularnewline
99 & 8.7406 & 8.74572384318586 & -0.00512384318586281 & -0.00512384318586302 & -1.30045029130411 \tabularnewline
100 & 8.921 & 8.92605388693901 & -0.00505388693901072 & -0.00505388693901074 & 0.793657405081196 \tabularnewline
101 & 9.011 & 9.01601805808482 & -0.00501805808481796 & -0.00501805808481813 & 0.406633591233611 \tabularnewline
102 & 9.3157 & 9.32060135941713 & -0.00490135941712902 & -0.00490135941712907 & 1.32495134319441 \tabularnewline
103 & 9.5786 & 9.58340049254804 & -0.0048004925480378 & -0.0048004925480377 & 1.14563483398549 \tabularnewline
104 & 9.6246 & 9.62938136584386 & -0.00478136584385678 & -0.00478136584385684 & 0.21732084594893 \tabularnewline
105 & 9.7485 & 9.75323293473685 & -0.00473293473684889 & -0.0047329347368489 & 0.550489648082331 \tabularnewline
106 & 9.9431 & 9.9477579411074 & -0.00465794110739321 & -0.00465794110739315 & 0.85273204979304 \tabularnewline
107 & 10.1152 & 10.1197914657187 & -0.00459146571873962 & -0.00459146571873969 & 0.756157893846958 \tabularnewline
108 & 10.1827 & 10.1872643636460 & -0.004564363645976 & -0.00456436364597582 & 0.308402182078795 \tabularnewline
109 & 9.9777 & 9.93859600195647 & -0.00355491085774163 & 0.0391039980435285 & -1.06794725927161 \tabularnewline
110 & 9.7436 & 9.74798286374374 & -0.00438288378423411 & -0.0043828637437393 & -0.780547988618482 \tabularnewline
111 & 9.3462 & 9.35071606568596 & -0.00451606568596075 & -0.00451606568596104 & -1.68133044681761 \tabularnewline
112 & 9.2623 & 9.26684295728252 & -0.00454295728251458 & -0.00454295728251455 & -0.339605162554386 \tabularnewline
113 & 9.1505 & 9.15507927869193 & -0.00457927869193504 & -0.00457927869193530 & -0.458846589450193 \tabularnewline
114 & 8.5794 & 8.58417105971429 & -0.00477105971428671 & -0.00477105971428675 & -2.42358085906393 \tabularnewline
115 & 8.3245 & 8.32935570578031 & -0.00485570578030867 & -0.00485570578030855 & -1.07005396962358 \tabularnewline
116 & 8.6538 & 8.65854266249459 & -0.00474266249458824 & -0.00474266249458831 & 1.42952134810355 \tabularnewline
117 & 8.752 & 8.7567078492587 & -0.00470784925870629 & -0.0047078492587063 & 0.44038973311464 \tabularnewline
118 & 8.8104 & 8.81508651460832 & -0.00468651460832123 & -0.00468651460832117 & 0.269976021682733 \tabularnewline
119 & 9.2665 & 9.27103079076425 & -0.00453079076425134 & -0.00453079076425138 & 1.97124951379478 \tabularnewline
120 & 9.0895 & 9.09408905743197 & -0.00458905743197106 & -0.00458905743197088 & -0.737825117461123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115607&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]7.4271[/C][C]7.4271[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]7.7662[/C][C]7.74856679927801[/C][C]0.0176331995292359[/C][C]0.0176332007219904[/C][C]0.825877318167806[/C][/ROW]
[ROW][C]3[/C][C]7.6289[/C][C]7.61188406459956[/C][C]0.0170159354004443[/C][C]0.0170159354004442[/C][C]-0.661595985910299[/C][/ROW]
[ROW][C]4[/C][C]7.5281[/C][C]7.51155158818015[/C][C]0.0165484118198462[/C][C]0.0165484118198463[/C][C]-0.503101789956956[/C][/ROW]
[ROW][C]5[/C][C]7.3831[/C][C]7.36719011948947[/C][C]0.0159098805105273[/C][C]0.0159098805105273[/C][C]-0.689855194930098[/C][/ROW]
[ROW][C]6[/C][C]7.2355[/C][C]7.22023385921398[/C][C]0.015266140786018[/C][C]0.015266140786018[/C][C]-0.698236648345201[/C][/ROW]
[ROW][C]7[/C][C]7.0617[/C][C]7.04717529510318[/C][C]0.0145247048968225[/C][C]0.0145247048968225[/C][C]-0.807375867194713[/C][/ROW]
[ROW][C]8[/C][C]7.1237[/C][C]7.10898984472097[/C][C]0.0147101552790265[/C][C]0.0147101552790265[/C][C]0.202737000576945[/C][/ROW]
[ROW][C]9[/C][C]7.4533[/C][C]7.43736459233642[/C][C]0.0159354076635825[/C][C]0.0159354076635825[/C][C]1.34470590560733[/C][/ROW]
[ROW][C]10[/C][C]7.5411[/C][C]7.52488604738892[/C][C]0.0162139526110766[/C][C]0.0162139526110766[/C][C]0.306892949711581[/C][/ROW]
[ROW][C]11[/C][C]7.4978[/C][C]7.48181583100285[/C][C]0.0159841689971484[/C][C]0.0159841689971483[/C][C]-0.254152275382592[/C][/ROW]
[ROW][C]12[/C][C]7.3525[/C][C]7.33713615476503[/C][C]0.0153638452349719[/C][C]0.0153638452349720[/C][C]-0.688763596946793[/C][/ROW]
[ROW][C]13[/C][C]7.3862[/C][C]7.49082703120338[/C][C]0.00951154773345023[/C][C]-0.104627031203376[/C][C]0.716470157387364[/C][/ROW]
[ROW][C]14[/C][C]7.311[/C][C]7.30618854113065[/C][C]0.00481145386874014[/C][C]0.00481145886935236[/C][C]-0.708145117511599[/C][/ROW]
[ROW][C]15[/C][C]7.2013[/C][C]7.19669637117913[/C][C]0.00460362882086875[/C][C]0.00460362882086866[/C][C]-0.489519150764006[/C][/ROW]
[ROW][C]16[/C][C]7.249[/C][C]7.24431829803187[/C][C]0.00468170196813193[/C][C]0.00468170196813197[/C][C]0.184230783904569[/C][/ROW]
[ROW][C]17[/C][C]7.3321[/C][C]7.32727649277123[/C][C]0.00482350722876448[/C][C]0.00482350722876455[/C][C]0.335227487381897[/C][/ROW]
[ROW][C]18[/C][C]7.59[/C][C]7.58471967593275[/C][C]0.00528032406725284[/C][C]0.00528032406725283[/C][C]1.08186912529155[/C][/ROW]
[ROW][C]19[/C][C]7.9082[/C][C]7.90235585661733[/C][C]0.00584414338267313[/C][C]0.00584414338267312[/C][C]1.33769313735252[/C][/ROW]
[ROW][C]20[/C][C]8.2123[/C][C]8.20591942514503[/C][C]0.00638057485497425[/C][C]0.00638057485497426[/C][C]1.27500918252747[/C][/ROW]
[ROW][C]21[/C][C]8.0929[/C][C]8.08674524308493[/C][C]0.00615475691506779[/C][C]0.00615475691506778[/C][C]-0.537698233757084[/C][/ROW]
[ROW][C]22[/C][C]8.118[/C][C]8.11181129103163[/C][C]0.00618870896836901[/C][C]0.00618870896836902[/C][C]0.080988977620993[/C][/ROW]
[ROW][C]23[/C][C]8.1206[/C][C]8.11441771090546[/C][C]0.00618228909453932[/C][C]0.0061822890945393[/C][C]-0.0153413886407199[/C][/ROW]
[ROW][C]24[/C][C]8.2883[/C][C]8.2818292863814[/C][C]0.00647071361860732[/C][C]0.00647071361860738[/C][C]0.690473917528906[/C][/ROW]
[ROW][C]25[/C][C]8.4281[/C][C]8.46179133425479[/C][C]0.00306284801665976[/C][C]-0.0336913342547889[/C][C]0.818601556492607[/C][/ROW]
[ROW][C]26[/C][C]8.7917[/C][C]8.78368516940102[/C][C]0.00801482247115776[/C][C]0.00801483059897778[/C][C]1.24003322931279[/C][/ROW]
[ROW][C]27[/C][C]8.9168[/C][C]8.90864759183822[/C][C]0.00815240816177794[/C][C]0.00815240816177787[/C][C]0.500681867600775[/C][/ROW]
[ROW][C]28[/C][C]8.9446[/C][C]8.93642453127938[/C][C]0.008175468720616[/C][C]0.00817546872061604[/C][C]0.0840174597427016[/C][/ROW]
[ROW][C]29[/C][C]8.9786[/C][C]8.97039425632403[/C][C]0.00820574367596635[/C][C]0.00820574367596634[/C][C]0.110431498653719[/C][/ROW]
[ROW][C]30[/C][C]9.5862[/C][C]9.5772923893604[/C][C]0.00890761063960619[/C][C]0.00890761063960619[/C][C]2.56314628831903[/C][/ROW]
[ROW][C]31[/C][C]9.6533[/C][C]9.64432432807147[/C][C]0.00897567192852698[/C][C]0.008975671928527[/C][C]0.248844074632262[/C][/ROW]
[ROW][C]32[/C][C]9.4125[/C][C]9.40381612214418[/C][C]0.00868387785582337[/C][C]0.00868387785582337[/C][C]-1.06809909581460[/C][/ROW]
[ROW][C]33[/C][C]9.2195[/C][C]9.21105145927563[/C][C]0.00844854072437134[/C][C]0.00844854072437132[/C][C]-0.862447943432769[/C][/ROW]
[ROW][C]34[/C][C]9.2882[/C][C]9.27968123611439[/C][C]0.00851876388561243[/C][C]0.00851876388561244[/C][C]0.257649659802235[/C][/ROW]
[ROW][C]35[/C][C]9.6774[/C][C]9.66843806810671[/C][C]0.00896193189328686[/C][C]0.00896193189328687[/C][C]1.62788517945411[/C][/ROW]
[ROW][C]36[/C][C]9.6857[/C][C]9.67673883779513[/C][C]0.00896116220487228[/C][C]0.00896116220487235[/C][C]-0.00283058303596371[/C][/ROW]
[ROW][C]37[/C][C]10.1688[/C][C]10.1956272147361[/C][C]0.00243883702459244[/C][C]-0.0268272147360572[/C][C]2.3302832078919[/C][/ROW]
[ROW][C]38[/C][C]10.4399[/C][C]10.4347549486031[/C][C]0.00514504233724613[/C][C]0.00514505139687149[/C][C]0.946054341828682[/C][/ROW]
[ROW][C]39[/C][C]10.4675[/C][C]10.4623354485162[/C][C]0.00516455148382581[/C][C]0.00516455148382574[/C][C]0.0960370709468288[/C][/ROW]
[ROW][C]40[/C][C]10.149[/C][C]10.1441164074107[/C][C]0.00488359258926055[/C][C]0.00488359258926065[/C][C]-1.38427315174270[/C][/ROW]
[ROW][C]41[/C][C]9.9163[/C][C]9.91162246435983[/C][C]0.00467753564016824[/C][C]0.004677535640168[/C][C]-1.01611594756798[/C][/ROW]
[ROW][C]42[/C][C]9.9268[/C][C]9.9221174188953[/C][C]0.00468258110469757[/C][C]0.00468258110469758[/C][C]0.0249019768194336[/C][/ROW]
[ROW][C]43[/C][C]10.0529[/C][C]10.0481122955581[/C][C]0.00478770444189335[/C][C]0.00478770444189336[/C][C]0.519287830573666[/C][/ROW]
[ROW][C]44[/C][C]10.1622[/C][C]10.1573218869715[/C][C]0.00487811302852447[/C][C]0.00487811302852445[/C][C]0.44698680027863[/C][/ROW]
[ROW][C]45[/C][C]10.083[/C][C]10.0781945560619[/C][C]0.00480544393810591[/C][C]0.00480544393810588[/C][C]-0.359592338651841[/C][/ROW]
[ROW][C]46[/C][C]10.1134[/C][C]10.1085724536754[/C][C]0.00482754632458231[/C][C]0.00482754632458232[/C][C]0.109464988891711[/C][/ROW]
[ROW][C]47[/C][C]10.3423[/C][C]10.3372791210446[/C][C]0.00502087895537148[/C][C]0.00502087895537149[/C][C]0.958332613345804[/C][/ROW]
[ROW][C]48[/C][C]10.7536[/C][C]10.7482288803209[/C][C]0.00537111967911264[/C][C]0.00537111967911271[/C][C]1.73761062708716[/C][/ROW]
[ROW][C]49[/C][C]11.0967[/C][C]11.1177932051967[/C][C]0.00191756317614841[/C][C]-0.0210932051966607[/C][C]1.63754274746305[/C][/ROW]
[ROW][C]50[/C][C]10.8588[/C][C]10.8592388201639[/C][C]-0.00043882862533931[/C][C]-0.000438820163883977[/C][C]-1.05700731964457[/C][/ROW]
[ROW][C]51[/C][C]10.7719[/C][C]10.7723984161219[/C][C]-0.000498416121887206[/C][C]-0.000498416121887273[/C][C]-0.369816768412151[/C][/ROW]
[ROW][C]52[/C][C]10.9262[/C][C]10.9265918056032[/C][C]-0.000391805603189859[/C][C]-0.000391805603189806[/C][C]0.662113049167792[/C][/ROW]
[ROW][C]53[/C][C]10.708[/C][C]10.7085417080633[/C][C]-0.000541708063327919[/C][C]-0.000541708063328226[/C][C]-0.931622464493622[/C][/ROW]
[ROW][C]54[/C][C]10.5062[/C][C]10.5068801250963[/C][C]-0.00068012509632438[/C][C]-0.000680125096324359[/C][C]-0.86083441836604[/C][/ROW]
[ROW][C]55[/C][C]10.0683[/C][C]10.0692806199662[/C][C]-0.000980619966180281[/C][C]-0.000980619966180217[/C][C]-1.87010434255196[/C][/ROW]
[ROW][C]56[/C][C]9.8954[/C][C]9.89649869650684[/C][C]-0.00109869650683532[/C][C]-0.00109869650683532[/C][C]-0.73534455672841[/C][/ROW]
[ROW][C]57[/C][C]9.9589[/C][C]9.95995435970504[/C][C]-0.00105435970503512[/C][C]-0.00105435970503516[/C][C]0.276305737273075[/C][/ROW]
[ROW][C]58[/C][C]9.9177[/C][C]9.91878189444785[/C][C]-0.00108189444784958[/C][C]-0.00108189444784959[/C][C]-0.171713578639576[/C][/ROW]
[ROW][C]59[/C][C]9.7189[/C][C]9.7201174106768[/C][C]-0.00121741067680137[/C][C]-0.00121741067680139[/C][C]-0.845693111439456[/C][/ROW]
[ROW][C]60[/C][C]9.5273[/C][C]9.52864780975836[/C][C]-0.00134780975835926[/C][C]-0.00134780975835916[/C][C]-0.814317341839422[/C][/ROW]
[ROW][C]61[/C][C]9.5746[/C][C]9.5572887373518[/C][C]-0.001573752320421[/C][C]0.0173112626481884[/C][C]0.133525103871349[/C][/ROW]
[ROW][C]62[/C][C]9.763[/C][C]9.76302221599718[/C][C]-2.22303268542917e-05[/C][C]-2.22159971758409e-05[/C][C]0.849405033275063[/C][/ROW]
[ROW][C]63[/C][C]9.6117[/C][C]9.6118086257439[/C][C]-0.000108625743893207[/C][C]-0.000108625743893309[/C][C]-0.647092334169511[/C][/ROW]
[ROW][C]64[/C][C]9.6581[/C][C]9.65818207971288[/C][C]-8.20797128773598e-05[/C][C]-8.20797128773532e-05[/C][C]0.198941214799181[/C][/ROW]
[ROW][C]65[/C][C]9.8361[/C][C]9.83608049262872[/C][C]1.95073712810654e-05[/C][C]1.95073712808516e-05[/C][C]0.761748395622014[/C][/ROW]
[ROW][C]66[/C][C]10.2353[/C][C]10.235052909579[/C][C]0.000247090420996112[/C][C]0.000247090420996105[/C][C]1.70749998983046[/C][/ROW]
[ROW][C]67[/C][C]10.1285[/C][C]10.1283139050991[/C][C]0.000186094900913675[/C][C]0.000186094900913739[/C][C]-0.457895460541517[/C][/ROW]
[ROW][C]68[/C][C]10.1347[/C][C]10.1345104803225[/C][C]0.000189519677540222[/C][C]0.000189519677540216[/C][C]0.0257245692638785[/C][/ROW]
[ROW][C]69[/C][C]10.2141[/C][C]10.2138653975021[/C][C]0.000234602497859056[/C][C]0.000234602497859039[/C][C]0.338824072597873[/C][/ROW]
[ROW][C]70[/C][C]10.0971[/C][C]10.0969320838811[/C][C]0.000167916118884755[/C][C]0.000167916118884758[/C][C]-0.501472933122704[/C][/ROW]
[ROW][C]71[/C][C]9.9651[/C][C]9.96500722201324[/C][C]9.27779867556013e-05[/C][C]9.27779867555776e-05[/C][C]-0.565350518289300[/C][/ROW]
[ROW][C]72[/C][C]10.1286[/C][C]10.1284143769598[/C][C]0.00018562304019171[/C][C]0.000185623040191803[/C][C]0.698977295694115[/C][/ROW]
[ROW][C]73[/C][C]10.3356[/C][C]10.3241947314723[/C][C]-0.00103684416425714[/C][C]0.0114052685276979[/C][C]0.865187932216387[/C][/ROW]
[ROW][C]74[/C][C]10.1238[/C][C]10.1260944738573[/C][C]-0.0022944897398976[/C][C]-0.00229447385732355[/C][C]-0.812833396653992[/C][/ROW]
[ROW][C]75[/C][C]10.1326[/C][C]10.1348890803987[/C][C]-0.00228908039872485[/C][C]-0.00228908039872496[/C][C]0.0474588583440954[/C][/ROW]
[ROW][C]76[/C][C]10.2467[/C][C]10.2489323605446[/C][C]-0.00223236054463706[/C][C]-0.00223236054463705[/C][C]0.497876496958151[/C][/ROW]
[ROW][C]77[/C][C]10.44[/C][C]10.4421371182350[/C][C]-0.00213711823503504[/C][C]-0.00213711823503530[/C][C]0.836427076632708[/C][/ROW]
[ROW][C]78[/C][C]10.3689[/C][C]10.3710706931705[/C][C]-0.00217069317047501[/C][C]-0.00217069317047502[/C][C]-0.295001954014176[/C][/ROW]
[ROW][C]79[/C][C]10.2415[/C][C]10.2437316320374[/C][C]-0.00223163203738306[/C][C]-0.00223163203738299[/C][C]-0.535692442765182[/C][/ROW]
[ROW][C]80[/C][C]10.3899[/C][C]10.3920583675871[/C][C]-0.00215836758709928[/C][C]-0.00215836758709930[/C][C]0.644355850244483[/C][/ROW]
[ROW][C]81[/C][C]10.3162[/C][C]10.3183931472027[/C][C]-0.00219314720271426[/C][C]-0.00219314720271427[/C][C]-0.306033163223771[/C][/ROW]
[ROW][C]82[/C][C]10.4533[/C][C]10.4554254634228[/C][C]-0.00212546342281789[/C][C]-0.00212546342281787[/C][C]0.595853436012474[/C][/ROW]
[ROW][C]83[/C][C]10.6741[/C][C]10.6761171945650[/C][C]-0.00201719456496722[/C][C]-0.00201719456496726[/C][C]0.953606991469831[/C][/ROW]
[ROW][C]84[/C][C]10.8957[/C][C]10.8976086424729[/C][C]-0.00190864247285206[/C][C]-0.00190864247285196[/C][C]0.956566118672814[/C][/ROW]
[ROW][C]85[/C][C]10.7404[/C][C]10.7291856447054[/C][C]-0.00101948803565176[/C][C]0.0112143552945983[/C][C]-0.733096489221792[/C][/ROW]
[ROW][C]86[/C][C]10.6568[/C][C]10.6582086272326[/C][C]-0.00140863983037296[/C][C]-0.00140862723257189[/C][C]-0.289969789961864[/C][/ROW]
[ROW][C]87[/C][C]10.5682[/C][C]10.5696457269530[/C][C]-0.00144572695298487[/C][C]-0.00144572695298498[/C][C]-0.372989184023579[/C][/ROW]
[ROW][C]88[/C][C]10.9833[/C][C]10.9845686240732[/C][C]-0.00126862407319025[/C][C]-0.00126862407319025[/C][C]1.78190922424800[/C][/ROW]
[ROW][C]89[/C][C]11.0237[/C][C]11.0249509153402[/C][C]-0.00125091534020962[/C][C]-0.00125091534020985[/C][C]0.178251047854762[/C][/ROW]
[ROW][C]90[/C][C]10.8462[/C][C]10.8475257875530[/C][C]-0.00132578755295218[/C][C]-0.00132578755295220[/C][C]-0.75396266519479[/C][/ROW]
[ROW][C]91[/C][C]10.7287[/C][C]10.7300751184579[/C][C]-0.00137511845786048[/C][C]-0.00137511845786038[/C][C]-0.496972945510703[/C][/ROW]
[ROW][C]92[/C][C]10.7809[/C][C]10.7822523785809[/C][C]-0.00135237858091410[/C][C]-0.00135237858091412[/C][C]0.229184999542216[/C][/ROW]
[ROW][C]93[/C][C]10.2609[/C][C]10.2624724243711[/C][C]-0.00157242437110091[/C][C]-0.00157242437110094[/C][C]-2.2186841393223[/C][/ROW]
[ROW][C]94[/C][C]9.8252[/C][C]9.8269565328663[/C][C]-0.00175653286630728[/C][C]-0.00175653286630727[/C][C]-1.85712227994783[/C][/ROW]
[ROW][C]95[/C][C]9.1071[/C][C]9.10916019708398[/C][C]-0.00206019708397825[/C][C]-0.00206019708397833[/C][C]-3.06439306605472[/C][/ROW]
[ROW][C]96[/C][C]8.695[/C][C]8.69723394286558[/C][C]-0.00223394286557603[/C][C]-0.00223394286557591[/C][C]-1.75407929214146[/C][/ROW]
[ROW][C]97[/C][C]9.2205[/C][C]9.17149612413693[/C][C]-0.00445489969857698[/C][C]0.0490038758630709[/C][C]2.09041248191656[/C][/ROW]
[ROW][C]98[/C][C]9.0496[/C][C]9.05460915222478[/C][C]-0.00500917223789506[/C][C]-0.00500915222477997[/C][C]-0.467769222051947[/C][/ROW]
[ROW][C]99[/C][C]8.7406[/C][C]8.74572384318586[/C][C]-0.00512384318586281[/C][C]-0.00512384318586302[/C][C]-1.30045029130411[/C][/ROW]
[ROW][C]100[/C][C]8.921[/C][C]8.92605388693901[/C][C]-0.00505388693901072[/C][C]-0.00505388693901074[/C][C]0.793657405081196[/C][/ROW]
[ROW][C]101[/C][C]9.011[/C][C]9.01601805808482[/C][C]-0.00501805808481796[/C][C]-0.00501805808481813[/C][C]0.406633591233611[/C][/ROW]
[ROW][C]102[/C][C]9.3157[/C][C]9.32060135941713[/C][C]-0.00490135941712902[/C][C]-0.00490135941712907[/C][C]1.32495134319441[/C][/ROW]
[ROW][C]103[/C][C]9.5786[/C][C]9.58340049254804[/C][C]-0.0048004925480378[/C][C]-0.0048004925480377[/C][C]1.14563483398549[/C][/ROW]
[ROW][C]104[/C][C]9.6246[/C][C]9.62938136584386[/C][C]-0.00478136584385678[/C][C]-0.00478136584385684[/C][C]0.21732084594893[/C][/ROW]
[ROW][C]105[/C][C]9.7485[/C][C]9.75323293473685[/C][C]-0.00473293473684889[/C][C]-0.0047329347368489[/C][C]0.550489648082331[/C][/ROW]
[ROW][C]106[/C][C]9.9431[/C][C]9.9477579411074[/C][C]-0.00465794110739321[/C][C]-0.00465794110739315[/C][C]0.85273204979304[/C][/ROW]
[ROW][C]107[/C][C]10.1152[/C][C]10.1197914657187[/C][C]-0.00459146571873962[/C][C]-0.00459146571873969[/C][C]0.756157893846958[/C][/ROW]
[ROW][C]108[/C][C]10.1827[/C][C]10.1872643636460[/C][C]-0.004564363645976[/C][C]-0.00456436364597582[/C][C]0.308402182078795[/C][/ROW]
[ROW][C]109[/C][C]9.9777[/C][C]9.93859600195647[/C][C]-0.00355491085774163[/C][C]0.0391039980435285[/C][C]-1.06794725927161[/C][/ROW]
[ROW][C]110[/C][C]9.7436[/C][C]9.74798286374374[/C][C]-0.00438288378423411[/C][C]-0.0043828637437393[/C][C]-0.780547988618482[/C][/ROW]
[ROW][C]111[/C][C]9.3462[/C][C]9.35071606568596[/C][C]-0.00451606568596075[/C][C]-0.00451606568596104[/C][C]-1.68133044681761[/C][/ROW]
[ROW][C]112[/C][C]9.2623[/C][C]9.26684295728252[/C][C]-0.00454295728251458[/C][C]-0.00454295728251455[/C][C]-0.339605162554386[/C][/ROW]
[ROW][C]113[/C][C]9.1505[/C][C]9.15507927869193[/C][C]-0.00457927869193504[/C][C]-0.00457927869193530[/C][C]-0.458846589450193[/C][/ROW]
[ROW][C]114[/C][C]8.5794[/C][C]8.58417105971429[/C][C]-0.00477105971428671[/C][C]-0.00477105971428675[/C][C]-2.42358085906393[/C][/ROW]
[ROW][C]115[/C][C]8.3245[/C][C]8.32935570578031[/C][C]-0.00485570578030867[/C][C]-0.00485570578030855[/C][C]-1.07005396962358[/C][/ROW]
[ROW][C]116[/C][C]8.6538[/C][C]8.65854266249459[/C][C]-0.00474266249458824[/C][C]-0.00474266249458831[/C][C]1.42952134810355[/C][/ROW]
[ROW][C]117[/C][C]8.752[/C][C]8.7567078492587[/C][C]-0.00470784925870629[/C][C]-0.0047078492587063[/C][C]0.44038973311464[/C][/ROW]
[ROW][C]118[/C][C]8.8104[/C][C]8.81508651460832[/C][C]-0.00468651460832123[/C][C]-0.00468651460832117[/C][C]0.269976021682733[/C][/ROW]
[ROW][C]119[/C][C]9.2665[/C][C]9.27103079076425[/C][C]-0.00453079076425134[/C][C]-0.00453079076425138[/C][C]1.97124951379478[/C][/ROW]
[ROW][C]120[/C][C]9.0895[/C][C]9.09408905743197[/C][C]-0.00458905743197106[/C][C]-0.00458905743197088[/C][C]-0.737825117461123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115607&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115607&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
17.42717.4271000
27.76627.748566799278010.01763319952923590.01763320072199040.825877318167806
37.62897.611884064599560.01701593540044430.0170159354004442-0.661595985910299
47.52817.511551588180150.01654841181984620.0165484118198463-0.503101789956956
57.38317.367190119489470.01590988051052730.0159098805105273-0.689855194930098
67.23557.220233859213980.0152661407860180.015266140786018-0.698236648345201
77.06177.047175295103180.01452470489682250.0145247048968225-0.807375867194713
87.12377.108989844720970.01471015527902650.01471015527902650.202737000576945
97.45337.437364592336420.01593540766358250.01593540766358251.34470590560733
107.54117.524886047388920.01621395261107660.01621395261107660.306892949711581
117.49787.481815831002850.01598416899714840.0159841689971483-0.254152275382592
127.35257.337136154765030.01536384523497190.0153638452349720-0.688763596946793
137.38627.490827031203380.00951154773345023-0.1046270312033760.716470157387364
147.3117.306188541130650.004811453868740140.00481145886935236-0.708145117511599
157.20137.196696371179130.004603628820868750.00460362882086866-0.489519150764006
167.2497.244318298031870.004681701968131930.004681701968131970.184230783904569
177.33217.327276492771230.004823507228764480.004823507228764550.335227487381897
187.597.584719675932750.005280324067252840.005280324067252831.08186912529155
197.90827.902355856617330.005844143382673130.005844143382673121.33769313735252
208.21238.205919425145030.006380574854974250.006380574854974261.27500918252747
218.09298.086745243084930.006154756915067790.00615475691506778-0.537698233757084
228.1188.111811291031630.006188708968369010.006188708968369020.080988977620993
238.12068.114417710905460.006182289094539320.0061822890945393-0.0153413886407199
248.28838.28182928638140.006470713618607320.006470713618607380.690473917528906
258.42818.461791334254790.00306284801665976-0.03369133425478890.818601556492607
268.79178.783685169401020.008014822471157760.008014830598977781.24003322931279
278.91688.908647591838220.008152408161777940.008152408161777870.500681867600775
288.94468.936424531279380.0081754687206160.008175468720616040.0840174597427016
298.97868.970394256324030.008205743675966350.008205743675966340.110431498653719
309.58629.57729238936040.008907610639606190.008907610639606192.56314628831903
319.65339.644324328071470.008975671928526980.0089756719285270.248844074632262
329.41259.403816122144180.008683877855823370.00868387785582337-1.06809909581460
339.21959.211051459275630.008448540724371340.00844854072437132-0.862447943432769
349.28829.279681236114390.008518763885612430.008518763885612440.257649659802235
359.67749.668438068106710.008961931893286860.008961931893286871.62788517945411
369.68579.676738837795130.008961162204872280.00896116220487235-0.00283058303596371
3710.168810.19562721473610.00243883702459244-0.02682721473605722.3302832078919
3810.439910.43475494860310.005145042337246130.005145051396871490.946054341828682
3910.467510.46233544851620.005164551483825810.005164551483825740.0960370709468288
4010.14910.14411640741070.004883592589260550.00488359258926065-1.38427315174270
419.91639.911622464359830.004677535640168240.004677535640168-1.01611594756798
429.92689.92211741889530.004682581104697570.004682581104697580.0249019768194336
4310.052910.04811229555810.004787704441893350.004787704441893360.519287830573666
4410.162210.15732188697150.004878113028524470.004878113028524450.44698680027863
4510.08310.07819455606190.004805443938105910.00480544393810588-0.359592338651841
4610.113410.10857245367540.004827546324582310.004827546324582320.109464988891711
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Figures (Output of Computation)

Input Parameters & R Code

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$resid)
myfit <- mylevel+myseas
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time')
grid()
dev.off()
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='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')