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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 computationFri, 11 Dec 2009 09:46:43 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/11/t12605500550x7n45ehtwr4sxv.htm/, Retrieved Mon, 29 Apr 2024 14:11:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66530, Retrieved Mon, 29 Apr 2024 14:11:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Structural Time Series Models] [] [2009-11-27 15:02:30] [b98453cac15ba1066b407e146608df68]
-    D    [Structural Time Series Models] [Structurele tijdr...] [2009-12-01 19:54:37] [d46757a0a8c9b00540ab7e7e0c34bfc4]
-    D      [Structural Time Series Models] [structurele tijdr...] [2009-12-04 19:23:56] [4f1a20f787b3465111b61213cdeef1a9]
-    D        [Structural Time Series Models] [Structurele tijdr...] [2009-12-11 16:03:21] [4f1a20f787b3465111b61213cdeef1a9]
-   PD            [Structural Time Series Models] [Structurele tijdr...] [2009-12-11 16:46:43] [d1818fb1d9a1b0f34f8553ada228d3d5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738
31566
30111
30019
31934
25826
26835
20205
17789
20520
22518
15572
11509
25447
24090
27786
26195
20516
22759
19028
16971
20036
22485
18730

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66530&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66530&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
12179021790000
21325316782.0114077606-165.320321010184-3529.01140776059-2.26734767863568
33770226911.8763596083468.74579168207310790.12364039174.27606069384698
43036430168.7922406593608.2687788764195.2077593406761.44324779072417
53260931906.5316027653645.157679236632702.4683972346870.63266784796825
63021231465.4049342018620.787707839629-1253.40493420176-0.616458413578782
72996530579.712738655592.070794724581-614.712738654988-0.854610744421069
82835229248.6533423686555.108047662618-896.653342368599-1.08852210288513
92581427252.6477771988502.843553614259-1438.64777719885-1.44067065128127
102241424446.6652373676430.834665193079-2032.66523736755-1.86514224430075
112050621849.7389044958361.89866352914-1343.73890449580-1.70434520692938
122880624302.8332279123411.140986843864503.166772087711.17581738932498
132222824666.4229159156411.533990067027-2438.42291591556-0.0282965123289481
141397124946.9463741207410.289837945775-10975.9463741207-0.0755324873357491
153684526511.1505446717445.28984877465110333.84945532830.604504365640298
163533831255.0317442735607.0022371520844082.968255726472.24916974197867
173502233507.9593533594666.3695361859561514.040646640570.893284976457974
183477734896.7523608181689.343293327965-119.7523608181070.400517144106472
192688731547.2459902054574.325083202697-4660.24599020544-2.25266536147311
202397027194.7718877859441.539407229076-3224.77188778588-2.74896329674017
212278024038.0762562432345.798544382081-1258.07625624319-2.00565925250955
221735120729.7051080583249.381958069965-3378.70510805833-2.03359957169916
232138221304.0321768907257.59023928152877.96782310926920.180470581924121
242456120829.8194621869240.9076815735423731.18053781309-0.406659301200053
251740920556.4293561632230.406179221784-3147.42935616318-0.288175435609355
261151422273.5229302763265.773875263281-10759.52293027630.825924042267007
273151423625.2721068701298.203637253747888.72789312990.587520559278356
282707124244.8497084409309.1501674148042826.150291559050.172075723863048
292946225935.5767815616357.8082377596173526.423218438420.74731076676027
302610525058.4377071194315.3930625403001046.56229288060-0.676774364516379
312239724291.7038063260279.860066758035-1894.70380632604-0.59706286157529
322384324250.2404382649269.732815404575-407.240438264899-0.177555021380481
332170522861.8526829586219.106985126509-1156.85268295864-0.915340723717031
341808922005.0681577616187.183354126352-3916.06815776161-0.592880805070453
352076421092.8879879925155.545879723834-328.887987992530-0.605129764388368
362531621210.6858014194154.4867205721974105.31419858057-0.0207986420450988
371770421612.1925549599161.44111919123-3908.192554959870.136298891319140
381554824169.5626797954232.392313342376-8621.562679795411.31595066305880
392802923158.9320543618192.8089759346444870.0679456382-0.675832708728983
402938324766.2020940842240.5204709755454616.797905915760.764554290495505
413643828396.9118306107357.9696750957238041.088169389271.83787375149022
423203430018.5170442967401.7116370860972015.482955703260.689705814735088
432267927769.7340004157311.536742031810-5090.73400041566-1.45371715848061
442431925547.7387666425227.335784319607-1228.73876664249-1.39140083897436
451800422002.6966716285104.864255608299-3998.69667162854-2.0697242032153
461753720840.186338419664.5679136959275-3303.18633841956-0.694333799993492
472036620629.055283217855.9413141495487-263.055283217788-0.150972796997400
482278219987.161265800634.25310126633772794.83873419944-0.382461679549528
491916921763.296551049488.8056818406522-2594.296551049410.95508534471904
501380722409.1691002053106.649321952972-8602.16910020530.304697240747639
512974324431.3997630543169.8506694496875311.60023694571.04281685593041
522559124259.3518963021158.2764730928731331.64810369790-0.185544761497289
532909622823.3828440867103.5038125787206272.61715591333-0.865997119179112
542648222299.35570291681.88815609933544182.64429708401-0.342069280502289
552240523485.6851413292119.671935376913-1080.685141329250.603831570327107
562704424783.5309515849159.4929831351752260.469048415060.644709779288494
571797023466.3046285580110.255247996363-5496.30462855803-0.807450216558366
581873022529.829289945375.7760925707749-3799.82928994532-0.571744375546515
591968421289.048094455732.7680463672691-1605.04809445574-0.718994028150559
601978519730.4384554254-19.092714572777654.5615445745773-0.869645173620562
611847920349.56955685481.80210460583783-1870.569556854820.348875884273631
621069820393.83519501963.2071638753833-9695.835195019580.0231831409142943
633195622905.961935099187.33993405017929050.038064900941.36647043641809
642950625333.6178739727166.7640488838254172.382126027321.27246837224126
653450627112.1284994249221.8764596995297393.871500575080.876611118306704
662716526022.3732822905176.9353599653851142.62671770947-0.714680514769865
672673626756.2216931093195.963179008202-20.22169310930770.303971612882616
682369124080.180342300098.424716454647-389.180342300051-1.56840997958186
691815722965.566185035757.5233280786201-4808.56618503566-0.66209476748381
701732821501.27125648486.54453001870966-4173.27125648483-0.830064388417503
711820520177.9504302087-37.8112855047210-1972.95043020872-0.725298173047532
722099520534.4289275736-24.6751159149381460.5710724264430.215139830485038
731738220408.3723493729-28.0606344716724-3026.37234937288-0.0553314247773259
74936720705.0161893101-17.1623064085986-11338.01618931010.177107006605041
753112422082.411317841029.9396327425849041.588682159030.759690192180759
762655122747.509811930851.51547739938653803.490188069250.34567602660719
773065122733.113730001449.26806502401937917.88626999855-0.0358749166668256
782585923403.551338343170.47372191003252455.448661656910.338418764805274
792510023406.352992332368.16632918608621693.64700766773-0.0369038954257227
802577824137.59792121190.7089149009561640.402078789000.361709001386356
812041824275.093770970892.293708354979-3857.093770970790.0255137879477471
821868823408.581098835659.9261180321608-4720.58109883559-0.522630786906418
832042422929.184246670141.7605583512744-2505.18424667006-0.293960121175542
842477623539.237063791960.89019279993631236.762936208120.309840349049108
851981423621.911597691761.6243029037183-3807.911597691730.0118794079694977
861273824274.244371043281.5790374350345-11536.24437104320.32203121619518
873156623823.302776649563.5356665062827742.69722335047-0.290115104391078
883011124911.968409613498.36634423883235199.031590386630.558187231687873
893001924079.892555096966.69367339079885939.10744490307-0.50663874979335
903193426377.2153845575142.6748543839445556.784615442481.21522178498963
912582625996.8232875808124.867356335637-170.823287580829-0.285113599356204
922683525493.0968094918103.4975899114731341.90319050820-0.342693097889760
932020524529.742255685167.294914418153-4324.7422556851-0.58150420513866
941778923420.279878541427.4312330625485-5631.27987854137-0.641241567556556
952052023224.129847695519.8660449640321-2704.12984769552-0.121829707152954
962251822407.3725771512-8.4325479882688110.627422848849-0.455958790442339
971557221044.7337684367-54.2616558593258-5472.73376843668-0.738143414210378
981150921634.8926661461-32.4277657096451-10125.89266614610.351211262130246
992544720244.1884425091-78.51509000059775202.81155749087-0.740000643476599
1002409019343.5798352467-106.4469640694984746.42016475328-0.447747539831284
1012778620731.3779957187-55.63060134351847054.622004281310.813823875322725
1022619520694.3464035668-54.99786751959075500.653596433220.0101324487018021
1032051620340.7443853140-65.15389050028175.255614686033-0.162723090975126
1042275920319.2892142326-63.66863921170742439.710785767420.0238157550586854
1051902821279.336462866-28.9054900090588-2251.336462866010.557858870656898
1061697121841.5915029133-8.8482937623565-4870.591502913260.32209348583469
1072003621985.3180644959-3.67475375641031-1949.318064495920.0831280155650217
1082248521849.5716449912-8.15219837762342635.428355008787-0.0719648300339925
1091873022857.329543140426.2967327623451-4127.329543140410.55361337869644

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 21790 & 21790 & 0 & 0 & 0 \tabularnewline
2 & 13253 & 16782.0114077606 & -165.320321010184 & -3529.01140776059 & -2.26734767863568 \tabularnewline
3 & 37702 & 26911.8763596083 & 468.745791682073 & 10790.1236403917 & 4.27606069384698 \tabularnewline
4 & 30364 & 30168.7922406593 & 608.2687788764 & 195.207759340676 & 1.44324779072417 \tabularnewline
5 & 32609 & 31906.5316027653 & 645.157679236632 & 702.468397234687 & 0.63266784796825 \tabularnewline
6 & 30212 & 31465.4049342018 & 620.787707839629 & -1253.40493420176 & -0.616458413578782 \tabularnewline
7 & 29965 & 30579.712738655 & 592.070794724581 & -614.712738654988 & -0.854610744421069 \tabularnewline
8 & 28352 & 29248.6533423686 & 555.108047662618 & -896.653342368599 & -1.08852210288513 \tabularnewline
9 & 25814 & 27252.6477771988 & 502.843553614259 & -1438.64777719885 & -1.44067065128127 \tabularnewline
10 & 22414 & 24446.6652373676 & 430.834665193079 & -2032.66523736755 & -1.86514224430075 \tabularnewline
11 & 20506 & 21849.7389044958 & 361.89866352914 & -1343.73890449580 & -1.70434520692938 \tabularnewline
12 & 28806 & 24302.8332279123 & 411.14098684386 & 4503.16677208771 & 1.17581738932498 \tabularnewline
13 & 22228 & 24666.4229159156 & 411.533990067027 & -2438.42291591556 & -0.0282965123289481 \tabularnewline
14 & 13971 & 24946.9463741207 & 410.289837945775 & -10975.9463741207 & -0.0755324873357491 \tabularnewline
15 & 36845 & 26511.1505446717 & 445.289848774651 & 10333.8494553283 & 0.604504365640298 \tabularnewline
16 & 35338 & 31255.0317442735 & 607.002237152084 & 4082.96825572647 & 2.24916974197867 \tabularnewline
17 & 35022 & 33507.9593533594 & 666.369536185956 & 1514.04064664057 & 0.893284976457974 \tabularnewline
18 & 34777 & 34896.7523608181 & 689.343293327965 & -119.752360818107 & 0.400517144106472 \tabularnewline
19 & 26887 & 31547.2459902054 & 574.325083202697 & -4660.24599020544 & -2.25266536147311 \tabularnewline
20 & 23970 & 27194.7718877859 & 441.539407229076 & -3224.77188778588 & -2.74896329674017 \tabularnewline
21 & 22780 & 24038.0762562432 & 345.798544382081 & -1258.07625624319 & -2.00565925250955 \tabularnewline
22 & 17351 & 20729.7051080583 & 249.381958069965 & -3378.70510805833 & -2.03359957169916 \tabularnewline
23 & 21382 & 21304.0321768907 & 257.590239281528 & 77.9678231092692 & 0.180470581924121 \tabularnewline
24 & 24561 & 20829.8194621869 & 240.907681573542 & 3731.18053781309 & -0.406659301200053 \tabularnewline
25 & 17409 & 20556.4293561632 & 230.406179221784 & -3147.42935616318 & -0.288175435609355 \tabularnewline
26 & 11514 & 22273.5229302763 & 265.773875263281 & -10759.5229302763 & 0.825924042267007 \tabularnewline
27 & 31514 & 23625.2721068701 & 298.20363725374 & 7888.7278931299 & 0.587520559278356 \tabularnewline
28 & 27071 & 24244.8497084409 & 309.150167414804 & 2826.15029155905 & 0.172075723863048 \tabularnewline
29 & 29462 & 25935.5767815616 & 357.808237759617 & 3526.42321843842 & 0.74731076676027 \tabularnewline
30 & 26105 & 25058.4377071194 & 315.393062540300 & 1046.56229288060 & -0.676774364516379 \tabularnewline
31 & 22397 & 24291.7038063260 & 279.860066758035 & -1894.70380632604 & -0.59706286157529 \tabularnewline
32 & 23843 & 24250.2404382649 & 269.732815404575 & -407.240438264899 & -0.177555021380481 \tabularnewline
33 & 21705 & 22861.8526829586 & 219.106985126509 & -1156.85268295864 & -0.915340723717031 \tabularnewline
34 & 18089 & 22005.0681577616 & 187.183354126352 & -3916.06815776161 & -0.592880805070453 \tabularnewline
35 & 20764 & 21092.8879879925 & 155.545879723834 & -328.887987992530 & -0.605129764388368 \tabularnewline
36 & 25316 & 21210.6858014194 & 154.486720572197 & 4105.31419858057 & -0.0207986420450988 \tabularnewline
37 & 17704 & 21612.1925549599 & 161.44111919123 & -3908.19255495987 & 0.136298891319140 \tabularnewline
38 & 15548 & 24169.5626797954 & 232.392313342376 & -8621.56267979541 & 1.31595066305880 \tabularnewline
39 & 28029 & 23158.9320543618 & 192.808975934644 & 4870.0679456382 & -0.675832708728983 \tabularnewline
40 & 29383 & 24766.2020940842 & 240.520470975545 & 4616.79790591576 & 0.764554290495505 \tabularnewline
41 & 36438 & 28396.9118306107 & 357.969675095723 & 8041.08816938927 & 1.83787375149022 \tabularnewline
42 & 32034 & 30018.5170442967 & 401.711637086097 & 2015.48295570326 & 0.689705814735088 \tabularnewline
43 & 22679 & 27769.7340004157 & 311.536742031810 & -5090.73400041566 & -1.45371715848061 \tabularnewline
44 & 24319 & 25547.7387666425 & 227.335784319607 & -1228.73876664249 & -1.39140083897436 \tabularnewline
45 & 18004 & 22002.6966716285 & 104.864255608299 & -3998.69667162854 & -2.0697242032153 \tabularnewline
46 & 17537 & 20840.1863384196 & 64.5679136959275 & -3303.18633841956 & -0.694333799993492 \tabularnewline
47 & 20366 & 20629.0552832178 & 55.9413141495487 & -263.055283217788 & -0.150972796997400 \tabularnewline
48 & 22782 & 19987.1612658006 & 34.2531012663377 & 2794.83873419944 & -0.382461679549528 \tabularnewline
49 & 19169 & 21763.2965510494 & 88.8056818406522 & -2594.29655104941 & 0.95508534471904 \tabularnewline
50 & 13807 & 22409.1691002053 & 106.649321952972 & -8602.1691002053 & 0.304697240747639 \tabularnewline
51 & 29743 & 24431.3997630543 & 169.850669449687 & 5311.6002369457 & 1.04281685593041 \tabularnewline
52 & 25591 & 24259.3518963021 & 158.276473092873 & 1331.64810369790 & -0.185544761497289 \tabularnewline
53 & 29096 & 22823.3828440867 & 103.503812578720 & 6272.61715591333 & -0.865997119179112 \tabularnewline
54 & 26482 & 22299.355702916 & 81.8881560993354 & 4182.64429708401 & -0.342069280502289 \tabularnewline
55 & 22405 & 23485.6851413292 & 119.671935376913 & -1080.68514132925 & 0.603831570327107 \tabularnewline
56 & 27044 & 24783.5309515849 & 159.492983135175 & 2260.46904841506 & 0.644709779288494 \tabularnewline
57 & 17970 & 23466.3046285580 & 110.255247996363 & -5496.30462855803 & -0.807450216558366 \tabularnewline
58 & 18730 & 22529.8292899453 & 75.7760925707749 & -3799.82928994532 & -0.571744375546515 \tabularnewline
59 & 19684 & 21289.0480944557 & 32.7680463672691 & -1605.04809445574 & -0.718994028150559 \tabularnewline
60 & 19785 & 19730.4384554254 & -19.0927145727776 & 54.5615445745773 & -0.869645173620562 \tabularnewline
61 & 18479 & 20349.5695568548 & 1.80210460583783 & -1870.56955685482 & 0.348875884273631 \tabularnewline
62 & 10698 & 20393.8351950196 & 3.2071638753833 & -9695.83519501958 & 0.0231831409142943 \tabularnewline
63 & 31956 & 22905.9619350991 & 87.3399340501792 & 9050.03806490094 & 1.36647043641809 \tabularnewline
64 & 29506 & 25333.6178739727 & 166.764048883825 & 4172.38212602732 & 1.27246837224126 \tabularnewline
65 & 34506 & 27112.1284994249 & 221.876459699529 & 7393.87150057508 & 0.876611118306704 \tabularnewline
66 & 27165 & 26022.3732822905 & 176.935359965385 & 1142.62671770947 & -0.714680514769865 \tabularnewline
67 & 26736 & 26756.2216931093 & 195.963179008202 & -20.2216931093077 & 0.303971612882616 \tabularnewline
68 & 23691 & 24080.1803423000 & 98.424716454647 & -389.180342300051 & -1.56840997958186 \tabularnewline
69 & 18157 & 22965.5661850357 & 57.5233280786201 & -4808.56618503566 & -0.66209476748381 \tabularnewline
70 & 17328 & 21501.2712564848 & 6.54453001870966 & -4173.27125648483 & -0.830064388417503 \tabularnewline
71 & 18205 & 20177.9504302087 & -37.8112855047210 & -1972.95043020872 & -0.725298173047532 \tabularnewline
72 & 20995 & 20534.4289275736 & -24.6751159149381 & 460.571072426443 & 0.215139830485038 \tabularnewline
73 & 17382 & 20408.3723493729 & -28.0606344716724 & -3026.37234937288 & -0.0553314247773259 \tabularnewline
74 & 9367 & 20705.0161893101 & -17.1623064085986 & -11338.0161893101 & 0.177107006605041 \tabularnewline
75 & 31124 & 22082.4113178410 & 29.939632742584 & 9041.58868215903 & 0.759690192180759 \tabularnewline
76 & 26551 & 22747.5098119308 & 51.5154773993865 & 3803.49018806925 & 0.34567602660719 \tabularnewline
77 & 30651 & 22733.1137300014 & 49.2680650240193 & 7917.88626999855 & -0.0358749166668256 \tabularnewline
78 & 25859 & 23403.5513383431 & 70.4737219100325 & 2455.44866165691 & 0.338418764805274 \tabularnewline
79 & 25100 & 23406.3529923323 & 68.1663291860862 & 1693.64700766773 & -0.0369038954257227 \tabularnewline
80 & 25778 & 24137.597921211 & 90.708914900956 & 1640.40207878900 & 0.361709001386356 \tabularnewline
81 & 20418 & 24275.0937709708 & 92.293708354979 & -3857.09377097079 & 0.0255137879477471 \tabularnewline
82 & 18688 & 23408.5810988356 & 59.9261180321608 & -4720.58109883559 & -0.522630786906418 \tabularnewline
83 & 20424 & 22929.1842466701 & 41.7605583512744 & -2505.18424667006 & -0.293960121175542 \tabularnewline
84 & 24776 & 23539.2370637919 & 60.8901927999363 & 1236.76293620812 & 0.309840349049108 \tabularnewline
85 & 19814 & 23621.9115976917 & 61.6243029037183 & -3807.91159769173 & 0.0118794079694977 \tabularnewline
86 & 12738 & 24274.2443710432 & 81.5790374350345 & -11536.2443710432 & 0.32203121619518 \tabularnewline
87 & 31566 & 23823.3027766495 & 63.535666506282 & 7742.69722335047 & -0.290115104391078 \tabularnewline
88 & 30111 & 24911.9684096134 & 98.3663442388323 & 5199.03159038663 & 0.558187231687873 \tabularnewline
89 & 30019 & 24079.8925550969 & 66.6936733907988 & 5939.10744490307 & -0.50663874979335 \tabularnewline
90 & 31934 & 26377.2153845575 & 142.674854383944 & 5556.78461544248 & 1.21522178498963 \tabularnewline
91 & 25826 & 25996.8232875808 & 124.867356335637 & -170.823287580829 & -0.285113599356204 \tabularnewline
92 & 26835 & 25493.0968094918 & 103.497589911473 & 1341.90319050820 & -0.342693097889760 \tabularnewline
93 & 20205 & 24529.7422556851 & 67.294914418153 & -4324.7422556851 & -0.58150420513866 \tabularnewline
94 & 17789 & 23420.2798785414 & 27.4312330625485 & -5631.27987854137 & -0.641241567556556 \tabularnewline
95 & 20520 & 23224.1298476955 & 19.8660449640321 & -2704.12984769552 & -0.121829707152954 \tabularnewline
96 & 22518 & 22407.3725771512 & -8.4325479882688 & 110.627422848849 & -0.455958790442339 \tabularnewline
97 & 15572 & 21044.7337684367 & -54.2616558593258 & -5472.73376843668 & -0.738143414210378 \tabularnewline
98 & 11509 & 21634.8926661461 & -32.4277657096451 & -10125.8926661461 & 0.351211262130246 \tabularnewline
99 & 25447 & 20244.1884425091 & -78.5150900005977 & 5202.81155749087 & -0.740000643476599 \tabularnewline
100 & 24090 & 19343.5798352467 & -106.446964069498 & 4746.42016475328 & -0.447747539831284 \tabularnewline
101 & 27786 & 20731.3779957187 & -55.6306013435184 & 7054.62200428131 & 0.813823875322725 \tabularnewline
102 & 26195 & 20694.3464035668 & -54.9978675195907 & 5500.65359643322 & 0.0101324487018021 \tabularnewline
103 & 20516 & 20340.7443853140 & -65.15389050028 & 175.255614686033 & -0.162723090975126 \tabularnewline
104 & 22759 & 20319.2892142326 & -63.6686392117074 & 2439.71078576742 & 0.0238157550586854 \tabularnewline
105 & 19028 & 21279.336462866 & -28.9054900090588 & -2251.33646286601 & 0.557858870656898 \tabularnewline
106 & 16971 & 21841.5915029133 & -8.8482937623565 & -4870.59150291326 & 0.32209348583469 \tabularnewline
107 & 20036 & 21985.3180644959 & -3.67475375641031 & -1949.31806449592 & 0.0831280155650217 \tabularnewline
108 & 22485 & 21849.5716449912 & -8.15219837762342 & 635.428355008787 & -0.0719648300339925 \tabularnewline
109 & 18730 & 22857.3295431404 & 26.2967327623451 & -4127.32954314041 & 0.55361337869644 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66530&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]21790[/C][C]21790[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]13253[/C][C]16782.0114077606[/C][C]-165.320321010184[/C][C]-3529.01140776059[/C][C]-2.26734767863568[/C][/ROW]
[ROW][C]3[/C][C]37702[/C][C]26911.8763596083[/C][C]468.745791682073[/C][C]10790.1236403917[/C][C]4.27606069384698[/C][/ROW]
[ROW][C]4[/C][C]30364[/C][C]30168.7922406593[/C][C]608.2687788764[/C][C]195.207759340676[/C][C]1.44324779072417[/C][/ROW]
[ROW][C]5[/C][C]32609[/C][C]31906.5316027653[/C][C]645.157679236632[/C][C]702.468397234687[/C][C]0.63266784796825[/C][/ROW]
[ROW][C]6[/C][C]30212[/C][C]31465.4049342018[/C][C]620.787707839629[/C][C]-1253.40493420176[/C][C]-0.616458413578782[/C][/ROW]
[ROW][C]7[/C][C]29965[/C][C]30579.712738655[/C][C]592.070794724581[/C][C]-614.712738654988[/C][C]-0.854610744421069[/C][/ROW]
[ROW][C]8[/C][C]28352[/C][C]29248.6533423686[/C][C]555.108047662618[/C][C]-896.653342368599[/C][C]-1.08852210288513[/C][/ROW]
[ROW][C]9[/C][C]25814[/C][C]27252.6477771988[/C][C]502.843553614259[/C][C]-1438.64777719885[/C][C]-1.44067065128127[/C][/ROW]
[ROW][C]10[/C][C]22414[/C][C]24446.6652373676[/C][C]430.834665193079[/C][C]-2032.66523736755[/C][C]-1.86514224430075[/C][/ROW]
[ROW][C]11[/C][C]20506[/C][C]21849.7389044958[/C][C]361.89866352914[/C][C]-1343.73890449580[/C][C]-1.70434520692938[/C][/ROW]
[ROW][C]12[/C][C]28806[/C][C]24302.8332279123[/C][C]411.14098684386[/C][C]4503.16677208771[/C][C]1.17581738932498[/C][/ROW]
[ROW][C]13[/C][C]22228[/C][C]24666.4229159156[/C][C]411.533990067027[/C][C]-2438.42291591556[/C][C]-0.0282965123289481[/C][/ROW]
[ROW][C]14[/C][C]13971[/C][C]24946.9463741207[/C][C]410.289837945775[/C][C]-10975.9463741207[/C][C]-0.0755324873357491[/C][/ROW]
[ROW][C]15[/C][C]36845[/C][C]26511.1505446717[/C][C]445.289848774651[/C][C]10333.8494553283[/C][C]0.604504365640298[/C][/ROW]
[ROW][C]16[/C][C]35338[/C][C]31255.0317442735[/C][C]607.002237152084[/C][C]4082.96825572647[/C][C]2.24916974197867[/C][/ROW]
[ROW][C]17[/C][C]35022[/C][C]33507.9593533594[/C][C]666.369536185956[/C][C]1514.04064664057[/C][C]0.893284976457974[/C][/ROW]
[ROW][C]18[/C][C]34777[/C][C]34896.7523608181[/C][C]689.343293327965[/C][C]-119.752360818107[/C][C]0.400517144106472[/C][/ROW]
[ROW][C]19[/C][C]26887[/C][C]31547.2459902054[/C][C]574.325083202697[/C][C]-4660.24599020544[/C][C]-2.25266536147311[/C][/ROW]
[ROW][C]20[/C][C]23970[/C][C]27194.7718877859[/C][C]441.539407229076[/C][C]-3224.77188778588[/C][C]-2.74896329674017[/C][/ROW]
[ROW][C]21[/C][C]22780[/C][C]24038.0762562432[/C][C]345.798544382081[/C][C]-1258.07625624319[/C][C]-2.00565925250955[/C][/ROW]
[ROW][C]22[/C][C]17351[/C][C]20729.7051080583[/C][C]249.381958069965[/C][C]-3378.70510805833[/C][C]-2.03359957169916[/C][/ROW]
[ROW][C]23[/C][C]21382[/C][C]21304.0321768907[/C][C]257.590239281528[/C][C]77.9678231092692[/C][C]0.180470581924121[/C][/ROW]
[ROW][C]24[/C][C]24561[/C][C]20829.8194621869[/C][C]240.907681573542[/C][C]3731.18053781309[/C][C]-0.406659301200053[/C][/ROW]
[ROW][C]25[/C][C]17409[/C][C]20556.4293561632[/C][C]230.406179221784[/C][C]-3147.42935616318[/C][C]-0.288175435609355[/C][/ROW]
[ROW][C]26[/C][C]11514[/C][C]22273.5229302763[/C][C]265.773875263281[/C][C]-10759.5229302763[/C][C]0.825924042267007[/C][/ROW]
[ROW][C]27[/C][C]31514[/C][C]23625.2721068701[/C][C]298.20363725374[/C][C]7888.7278931299[/C][C]0.587520559278356[/C][/ROW]
[ROW][C]28[/C][C]27071[/C][C]24244.8497084409[/C][C]309.150167414804[/C][C]2826.15029155905[/C][C]0.172075723863048[/C][/ROW]
[ROW][C]29[/C][C]29462[/C][C]25935.5767815616[/C][C]357.808237759617[/C][C]3526.42321843842[/C][C]0.74731076676027[/C][/ROW]
[ROW][C]30[/C][C]26105[/C][C]25058.4377071194[/C][C]315.393062540300[/C][C]1046.56229288060[/C][C]-0.676774364516379[/C][/ROW]
[ROW][C]31[/C][C]22397[/C][C]24291.7038063260[/C][C]279.860066758035[/C][C]-1894.70380632604[/C][C]-0.59706286157529[/C][/ROW]
[ROW][C]32[/C][C]23843[/C][C]24250.2404382649[/C][C]269.732815404575[/C][C]-407.240438264899[/C][C]-0.177555021380481[/C][/ROW]
[ROW][C]33[/C][C]21705[/C][C]22861.8526829586[/C][C]219.106985126509[/C][C]-1156.85268295864[/C][C]-0.915340723717031[/C][/ROW]
[ROW][C]34[/C][C]18089[/C][C]22005.0681577616[/C][C]187.183354126352[/C][C]-3916.06815776161[/C][C]-0.592880805070453[/C][/ROW]
[ROW][C]35[/C][C]20764[/C][C]21092.8879879925[/C][C]155.545879723834[/C][C]-328.887987992530[/C][C]-0.605129764388368[/C][/ROW]
[ROW][C]36[/C][C]25316[/C][C]21210.6858014194[/C][C]154.486720572197[/C][C]4105.31419858057[/C][C]-0.0207986420450988[/C][/ROW]
[ROW][C]37[/C][C]17704[/C][C]21612.1925549599[/C][C]161.44111919123[/C][C]-3908.19255495987[/C][C]0.136298891319140[/C][/ROW]
[ROW][C]38[/C][C]15548[/C][C]24169.5626797954[/C][C]232.392313342376[/C][C]-8621.56267979541[/C][C]1.31595066305880[/C][/ROW]
[ROW][C]39[/C][C]28029[/C][C]23158.9320543618[/C][C]192.808975934644[/C][C]4870.0679456382[/C][C]-0.675832708728983[/C][/ROW]
[ROW][C]40[/C][C]29383[/C][C]24766.2020940842[/C][C]240.520470975545[/C][C]4616.79790591576[/C][C]0.764554290495505[/C][/ROW]
[ROW][C]41[/C][C]36438[/C][C]28396.9118306107[/C][C]357.969675095723[/C][C]8041.08816938927[/C][C]1.83787375149022[/C][/ROW]
[ROW][C]42[/C][C]32034[/C][C]30018.5170442967[/C][C]401.711637086097[/C][C]2015.48295570326[/C][C]0.689705814735088[/C][/ROW]
[ROW][C]43[/C][C]22679[/C][C]27769.7340004157[/C][C]311.536742031810[/C][C]-5090.73400041566[/C][C]-1.45371715848061[/C][/ROW]
[ROW][C]44[/C][C]24319[/C][C]25547.7387666425[/C][C]227.335784319607[/C][C]-1228.73876664249[/C][C]-1.39140083897436[/C][/ROW]
[ROW][C]45[/C][C]18004[/C][C]22002.6966716285[/C][C]104.864255608299[/C][C]-3998.69667162854[/C][C]-2.0697242032153[/C][/ROW]
[ROW][C]46[/C][C]17537[/C][C]20840.1863384196[/C][C]64.5679136959275[/C][C]-3303.18633841956[/C][C]-0.694333799993492[/C][/ROW]
[ROW][C]47[/C][C]20366[/C][C]20629.0552832178[/C][C]55.9413141495487[/C][C]-263.055283217788[/C][C]-0.150972796997400[/C][/ROW]
[ROW][C]48[/C][C]22782[/C][C]19987.1612658006[/C][C]34.2531012663377[/C][C]2794.83873419944[/C][C]-0.382461679549528[/C][/ROW]
[ROW][C]49[/C][C]19169[/C][C]21763.2965510494[/C][C]88.8056818406522[/C][C]-2594.29655104941[/C][C]0.95508534471904[/C][/ROW]
[ROW][C]50[/C][C]13807[/C][C]22409.1691002053[/C][C]106.649321952972[/C][C]-8602.1691002053[/C][C]0.304697240747639[/C][/ROW]
[ROW][C]51[/C][C]29743[/C][C]24431.3997630543[/C][C]169.850669449687[/C][C]5311.6002369457[/C][C]1.04281685593041[/C][/ROW]
[ROW][C]52[/C][C]25591[/C][C]24259.3518963021[/C][C]158.276473092873[/C][C]1331.64810369790[/C][C]-0.185544761497289[/C][/ROW]
[ROW][C]53[/C][C]29096[/C][C]22823.3828440867[/C][C]103.503812578720[/C][C]6272.61715591333[/C][C]-0.865997119179112[/C][/ROW]
[ROW][C]54[/C][C]26482[/C][C]22299.355702916[/C][C]81.8881560993354[/C][C]4182.64429708401[/C][C]-0.342069280502289[/C][/ROW]
[ROW][C]55[/C][C]22405[/C][C]23485.6851413292[/C][C]119.671935376913[/C][C]-1080.68514132925[/C][C]0.603831570327107[/C][/ROW]
[ROW][C]56[/C][C]27044[/C][C]24783.5309515849[/C][C]159.492983135175[/C][C]2260.46904841506[/C][C]0.644709779288494[/C][/ROW]
[ROW][C]57[/C][C]17970[/C][C]23466.3046285580[/C][C]110.255247996363[/C][C]-5496.30462855803[/C][C]-0.807450216558366[/C][/ROW]
[ROW][C]58[/C][C]18730[/C][C]22529.8292899453[/C][C]75.7760925707749[/C][C]-3799.82928994532[/C][C]-0.571744375546515[/C][/ROW]
[ROW][C]59[/C][C]19684[/C][C]21289.0480944557[/C][C]32.7680463672691[/C][C]-1605.04809445574[/C][C]-0.718994028150559[/C][/ROW]
[ROW][C]60[/C][C]19785[/C][C]19730.4384554254[/C][C]-19.0927145727776[/C][C]54.5615445745773[/C][C]-0.869645173620562[/C][/ROW]
[ROW][C]61[/C][C]18479[/C][C]20349.5695568548[/C][C]1.80210460583783[/C][C]-1870.56955685482[/C][C]0.348875884273631[/C][/ROW]
[ROW][C]62[/C][C]10698[/C][C]20393.8351950196[/C][C]3.2071638753833[/C][C]-9695.83519501958[/C][C]0.0231831409142943[/C][/ROW]
[ROW][C]63[/C][C]31956[/C][C]22905.9619350991[/C][C]87.3399340501792[/C][C]9050.03806490094[/C][C]1.36647043641809[/C][/ROW]
[ROW][C]64[/C][C]29506[/C][C]25333.6178739727[/C][C]166.764048883825[/C][C]4172.38212602732[/C][C]1.27246837224126[/C][/ROW]
[ROW][C]65[/C][C]34506[/C][C]27112.1284994249[/C][C]221.876459699529[/C][C]7393.87150057508[/C][C]0.876611118306704[/C][/ROW]
[ROW][C]66[/C][C]27165[/C][C]26022.3732822905[/C][C]176.935359965385[/C][C]1142.62671770947[/C][C]-0.714680514769865[/C][/ROW]
[ROW][C]67[/C][C]26736[/C][C]26756.2216931093[/C][C]195.963179008202[/C][C]-20.2216931093077[/C][C]0.303971612882616[/C][/ROW]
[ROW][C]68[/C][C]23691[/C][C]24080.1803423000[/C][C]98.424716454647[/C][C]-389.180342300051[/C][C]-1.56840997958186[/C][/ROW]
[ROW][C]69[/C][C]18157[/C][C]22965.5661850357[/C][C]57.5233280786201[/C][C]-4808.56618503566[/C][C]-0.66209476748381[/C][/ROW]
[ROW][C]70[/C][C]17328[/C][C]21501.2712564848[/C][C]6.54453001870966[/C][C]-4173.27125648483[/C][C]-0.830064388417503[/C][/ROW]
[ROW][C]71[/C][C]18205[/C][C]20177.9504302087[/C][C]-37.8112855047210[/C][C]-1972.95043020872[/C][C]-0.725298173047532[/C][/ROW]
[ROW][C]72[/C][C]20995[/C][C]20534.4289275736[/C][C]-24.6751159149381[/C][C]460.571072426443[/C][C]0.215139830485038[/C][/ROW]
[ROW][C]73[/C][C]17382[/C][C]20408.3723493729[/C][C]-28.0606344716724[/C][C]-3026.37234937288[/C][C]-0.0553314247773259[/C][/ROW]
[ROW][C]74[/C][C]9367[/C][C]20705.0161893101[/C][C]-17.1623064085986[/C][C]-11338.0161893101[/C][C]0.177107006605041[/C][/ROW]
[ROW][C]75[/C][C]31124[/C][C]22082.4113178410[/C][C]29.939632742584[/C][C]9041.58868215903[/C][C]0.759690192180759[/C][/ROW]
[ROW][C]76[/C][C]26551[/C][C]22747.5098119308[/C][C]51.5154773993865[/C][C]3803.49018806925[/C][C]0.34567602660719[/C][/ROW]
[ROW][C]77[/C][C]30651[/C][C]22733.1137300014[/C][C]49.2680650240193[/C][C]7917.88626999855[/C][C]-0.0358749166668256[/C][/ROW]
[ROW][C]78[/C][C]25859[/C][C]23403.5513383431[/C][C]70.4737219100325[/C][C]2455.44866165691[/C][C]0.338418764805274[/C][/ROW]
[ROW][C]79[/C][C]25100[/C][C]23406.3529923323[/C][C]68.1663291860862[/C][C]1693.64700766773[/C][C]-0.0369038954257227[/C][/ROW]
[ROW][C]80[/C][C]25778[/C][C]24137.597921211[/C][C]90.708914900956[/C][C]1640.40207878900[/C][C]0.361709001386356[/C][/ROW]
[ROW][C]81[/C][C]20418[/C][C]24275.0937709708[/C][C]92.293708354979[/C][C]-3857.09377097079[/C][C]0.0255137879477471[/C][/ROW]
[ROW][C]82[/C][C]18688[/C][C]23408.5810988356[/C][C]59.9261180321608[/C][C]-4720.58109883559[/C][C]-0.522630786906418[/C][/ROW]
[ROW][C]83[/C][C]20424[/C][C]22929.1842466701[/C][C]41.7605583512744[/C][C]-2505.18424667006[/C][C]-0.293960121175542[/C][/ROW]
[ROW][C]84[/C][C]24776[/C][C]23539.2370637919[/C][C]60.8901927999363[/C][C]1236.76293620812[/C][C]0.309840349049108[/C][/ROW]
[ROW][C]85[/C][C]19814[/C][C]23621.9115976917[/C][C]61.6243029037183[/C][C]-3807.91159769173[/C][C]0.0118794079694977[/C][/ROW]
[ROW][C]86[/C][C]12738[/C][C]24274.2443710432[/C][C]81.5790374350345[/C][C]-11536.2443710432[/C][C]0.32203121619518[/C][/ROW]
[ROW][C]87[/C][C]31566[/C][C]23823.3027766495[/C][C]63.535666506282[/C][C]7742.69722335047[/C][C]-0.290115104391078[/C][/ROW]
[ROW][C]88[/C][C]30111[/C][C]24911.9684096134[/C][C]98.3663442388323[/C][C]5199.03159038663[/C][C]0.558187231687873[/C][/ROW]
[ROW][C]89[/C][C]30019[/C][C]24079.8925550969[/C][C]66.6936733907988[/C][C]5939.10744490307[/C][C]-0.50663874979335[/C][/ROW]
[ROW][C]90[/C][C]31934[/C][C]26377.2153845575[/C][C]142.674854383944[/C][C]5556.78461544248[/C][C]1.21522178498963[/C][/ROW]
[ROW][C]91[/C][C]25826[/C][C]25996.8232875808[/C][C]124.867356335637[/C][C]-170.823287580829[/C][C]-0.285113599356204[/C][/ROW]
[ROW][C]92[/C][C]26835[/C][C]25493.0968094918[/C][C]103.497589911473[/C][C]1341.90319050820[/C][C]-0.342693097889760[/C][/ROW]
[ROW][C]93[/C][C]20205[/C][C]24529.7422556851[/C][C]67.294914418153[/C][C]-4324.7422556851[/C][C]-0.58150420513866[/C][/ROW]
[ROW][C]94[/C][C]17789[/C][C]23420.2798785414[/C][C]27.4312330625485[/C][C]-5631.27987854137[/C][C]-0.641241567556556[/C][/ROW]
[ROW][C]95[/C][C]20520[/C][C]23224.1298476955[/C][C]19.8660449640321[/C][C]-2704.12984769552[/C][C]-0.121829707152954[/C][/ROW]
[ROW][C]96[/C][C]22518[/C][C]22407.3725771512[/C][C]-8.4325479882688[/C][C]110.627422848849[/C][C]-0.455958790442339[/C][/ROW]
[ROW][C]97[/C][C]15572[/C][C]21044.7337684367[/C][C]-54.2616558593258[/C][C]-5472.73376843668[/C][C]-0.738143414210378[/C][/ROW]
[ROW][C]98[/C][C]11509[/C][C]21634.8926661461[/C][C]-32.4277657096451[/C][C]-10125.8926661461[/C][C]0.351211262130246[/C][/ROW]
[ROW][C]99[/C][C]25447[/C][C]20244.1884425091[/C][C]-78.5150900005977[/C][C]5202.81155749087[/C][C]-0.740000643476599[/C][/ROW]
[ROW][C]100[/C][C]24090[/C][C]19343.5798352467[/C][C]-106.446964069498[/C][C]4746.42016475328[/C][C]-0.447747539831284[/C][/ROW]
[ROW][C]101[/C][C]27786[/C][C]20731.3779957187[/C][C]-55.6306013435184[/C][C]7054.62200428131[/C][C]0.813823875322725[/C][/ROW]
[ROW][C]102[/C][C]26195[/C][C]20694.3464035668[/C][C]-54.9978675195907[/C][C]5500.65359643322[/C][C]0.0101324487018021[/C][/ROW]
[ROW][C]103[/C][C]20516[/C][C]20340.7443853140[/C][C]-65.15389050028[/C][C]175.255614686033[/C][C]-0.162723090975126[/C][/ROW]
[ROW][C]104[/C][C]22759[/C][C]20319.2892142326[/C][C]-63.6686392117074[/C][C]2439.71078576742[/C][C]0.0238157550586854[/C][/ROW]
[ROW][C]105[/C][C]19028[/C][C]21279.336462866[/C][C]-28.9054900090588[/C][C]-2251.33646286601[/C][C]0.557858870656898[/C][/ROW]
[ROW][C]106[/C][C]16971[/C][C]21841.5915029133[/C][C]-8.8482937623565[/C][C]-4870.59150291326[/C][C]0.32209348583469[/C][/ROW]
[ROW][C]107[/C][C]20036[/C][C]21985.3180644959[/C][C]-3.67475375641031[/C][C]-1949.31806449592[/C][C]0.0831280155650217[/C][/ROW]
[ROW][C]108[/C][C]22485[/C][C]21849.5716449912[/C][C]-8.15219837762342[/C][C]635.428355008787[/C][C]-0.0719648300339925[/C][/ROW]
[ROW][C]109[/C][C]18730[/C][C]22857.3295431404[/C][C]26.2967327623451[/C][C]-4127.32954314041[/C][C]0.55361337869644[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66530&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
12179021790000
21325316782.0114077606-165.320321010184-3529.01140776059-2.26734767863568
33770226911.8763596083468.74579168207310790.12364039174.27606069384698
43036430168.7922406593608.2687788764195.2077593406761.44324779072417
53260931906.5316027653645.157679236632702.4683972346870.63266784796825
63021231465.4049342018620.787707839629-1253.40493420176-0.616458413578782
72996530579.712738655592.070794724581-614.712738654988-0.854610744421069
82835229248.6533423686555.108047662618-896.653342368599-1.08852210288513
92581427252.6477771988502.843553614259-1438.64777719885-1.44067065128127
102241424446.6652373676430.834665193079-2032.66523736755-1.86514224430075
112050621849.7389044958361.89866352914-1343.73890449580-1.70434520692938
122880624302.8332279123411.140986843864503.166772087711.17581738932498
132222824666.4229159156411.533990067027-2438.42291591556-0.0282965123289481
141397124946.9463741207410.289837945775-10975.9463741207-0.0755324873357491
153684526511.1505446717445.28984877465110333.84945532830.604504365640298
163533831255.0317442735607.0022371520844082.968255726472.24916974197867
173502233507.9593533594666.3695361859561514.040646640570.893284976457974
183477734896.7523608181689.343293327965-119.7523608181070.400517144106472
192688731547.2459902054574.325083202697-4660.24599020544-2.25266536147311
202397027194.7718877859441.539407229076-3224.77188778588-2.74896329674017
212278024038.0762562432345.798544382081-1258.07625624319-2.00565925250955
221735120729.7051080583249.381958069965-3378.70510805833-2.03359957169916
232138221304.0321768907257.59023928152877.96782310926920.180470581924121
242456120829.8194621869240.9076815735423731.18053781309-0.406659301200053
251740920556.4293561632230.406179221784-3147.42935616318-0.288175435609355
261151422273.5229302763265.773875263281-10759.52293027630.825924042267007
273151423625.2721068701298.203637253747888.72789312990.587520559278356
282707124244.8497084409309.1501674148042826.150291559050.172075723863048
292946225935.5767815616357.8082377596173526.423218438420.74731076676027
302610525058.4377071194315.3930625403001046.56229288060-0.676774364516379
312239724291.7038063260279.860066758035-1894.70380632604-0.59706286157529
322384324250.2404382649269.732815404575-407.240438264899-0.177555021380481
332170522861.8526829586219.106985126509-1156.85268295864-0.915340723717031
341808922005.0681577616187.183354126352-3916.06815776161-0.592880805070453
352076421092.8879879925155.545879723834-328.887987992530-0.605129764388368
362531621210.6858014194154.4867205721974105.31419858057-0.0207986420450988
371770421612.1925549599161.44111919123-3908.192554959870.136298891319140
381554824169.5626797954232.392313342376-8621.562679795411.31595066305880
392802923158.9320543618192.8089759346444870.0679456382-0.675832708728983
402938324766.2020940842240.5204709755454616.797905915760.764554290495505
413643828396.9118306107357.9696750957238041.088169389271.83787375149022
423203430018.5170442967401.7116370860972015.482955703260.689705814735088
432267927769.7340004157311.536742031810-5090.73400041566-1.45371715848061
442431925547.7387666425227.335784319607-1228.73876664249-1.39140083897436
451800422002.6966716285104.864255608299-3998.69667162854-2.0697242032153
461753720840.186338419664.5679136959275-3303.18633841956-0.694333799993492
472036620629.055283217855.9413141495487-263.055283217788-0.150972796997400
482278219987.161265800634.25310126633772794.83873419944-0.382461679549528
491916921763.296551049488.8056818406522-2594.296551049410.95508534471904
501380722409.1691002053106.649321952972-8602.16910020530.304697240747639
512974324431.3997630543169.8506694496875311.60023694571.04281685593041
522559124259.3518963021158.2764730928731331.64810369790-0.185544761497289
532909622823.3828440867103.5038125787206272.61715591333-0.865997119179112
542648222299.35570291681.88815609933544182.64429708401-0.342069280502289
552240523485.6851413292119.671935376913-1080.685141329250.603831570327107
562704424783.5309515849159.4929831351752260.469048415060.644709779288494
571797023466.3046285580110.255247996363-5496.30462855803-0.807450216558366
581873022529.829289945375.7760925707749-3799.82928994532-0.571744375546515
591968421289.048094455732.7680463672691-1605.04809445574-0.718994028150559
601978519730.4384554254-19.092714572777654.5615445745773-0.869645173620562
611847920349.56955685481.80210460583783-1870.569556854820.348875884273631
621069820393.83519501963.2071638753833-9695.835195019580.0231831409142943
633195622905.961935099187.33993405017929050.038064900941.36647043641809
642950625333.6178739727166.7640488838254172.382126027321.27246837224126
653450627112.1284994249221.8764596995297393.871500575080.876611118306704
662716526022.3732822905176.9353599653851142.62671770947-0.714680514769865
672673626756.2216931093195.963179008202-20.22169310930770.303971612882616
682369124080.180342300098.424716454647-389.180342300051-1.56840997958186
691815722965.566185035757.5233280786201-4808.56618503566-0.66209476748381
701732821501.27125648486.54453001870966-4173.27125648483-0.830064388417503
711820520177.9504302087-37.8112855047210-1972.95043020872-0.725298173047532
722099520534.4289275736-24.6751159149381460.5710724264430.215139830485038
731738220408.3723493729-28.0606344716724-3026.37234937288-0.0553314247773259
74936720705.0161893101-17.1623064085986-11338.01618931010.177107006605041
753112422082.411317841029.9396327425849041.588682159030.759690192180759
762655122747.509811930851.51547739938653803.490188069250.34567602660719
773065122733.113730001449.26806502401937917.88626999855-0.0358749166668256
782585923403.551338343170.47372191003252455.448661656910.338418764805274
792510023406.352992332368.16632918608621693.64700766773-0.0369038954257227
802577824137.59792121190.7089149009561640.402078789000.361709001386356
812041824275.093770970892.293708354979-3857.093770970790.0255137879477471
821868823408.581098835659.9261180321608-4720.58109883559-0.522630786906418
832042422929.184246670141.7605583512744-2505.18424667006-0.293960121175542
842477623539.237063791960.89019279993631236.762936208120.309840349049108
851981423621.911597691761.6243029037183-3807.911597691730.0118794079694977
861273824274.244371043281.5790374350345-11536.24437104320.32203121619518
873156623823.302776649563.5356665062827742.69722335047-0.290115104391078
883011124911.968409613498.36634423883235199.031590386630.558187231687873
893001924079.892555096966.69367339079885939.10744490307-0.50663874979335
903193426377.2153845575142.6748543839445556.784615442481.21522178498963
912582625996.8232875808124.867356335637-170.823287580829-0.285113599356204
922683525493.0968094918103.4975899114731341.90319050820-0.342693097889760
932020524529.742255685167.294914418153-4324.7422556851-0.58150420513866
941778923420.279878541427.4312330625485-5631.27987854137-0.641241567556556
952052023224.129847695519.8660449640321-2704.12984769552-0.121829707152954
962251822407.3725771512-8.4325479882688110.627422848849-0.455958790442339
971557221044.7337684367-54.2616558593258-5472.73376843668-0.738143414210378
981150921634.8926661461-32.4277657096451-10125.89266614610.351211262130246
992544720244.1884425091-78.51509000059775202.81155749087-0.740000643476599
1002409019343.5798352467-106.4469640694984746.42016475328-0.447747539831284
1012778620731.3779957187-55.63060134351847054.622004281310.813823875322725
1022619520694.3464035668-54.99786751959075500.653596433220.0101324487018021
1032051620340.7443853140-65.15389050028175.255614686033-0.162723090975126
1042275920319.2892142326-63.66863921170742439.710785767420.0238157550586854
1051902821279.336462866-28.9054900090588-2251.336462866010.557858870656898
1061697121841.5915029133-8.8482937623565-4870.591502913260.32209348583469
1072003621985.3180644959-3.67475375641031-1949.318064495920.0831280155650217
1082248521849.5716449912-8.15219837762342635.428355008787-0.0719648300339925
1091873022857.329543140426.2967327623451-4127.329543140410.55361337869644


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
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')