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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSun, 16 Dec 2012 12:12:44 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/16/t1355677977i55woysb25mznol.htm/, Retrieved Wed, 24 Apr 2024 12:05:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=200500, Retrieved Wed, 24 Apr 2024 12:05:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Structural Time Series Models] [paper] [2012-12-09 08:42:20] [e37f7a7b9ab1c2cdf6c8d8ef0222ab12]
-   PD    [Structural Time Series Models] [paper] [2012-12-16 17:12:44] [97e5c69206415429213a02c19f23a896] [Current]
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Dataseries X:
563278
571477
583775
598714
581744
530455
527676
536352
545732
558685
561649
540735
538712
547612
563280
581302
572273
518654
520579
530577
540324
547970
555654
551174
548604
563668
586111
604378
600991
544686
537034
551531
563250
574761
580112
575093
557560
564478
580523
596594
586570
536214
523597
536535
536322
532638
528222
516141
501866
506174
517945
533590
528379
477580
469357
490243
492622
507561
516922
514258
509846
527070
541657
564591
555362
498662
511038
525919
531673
548854
560576
557274
565742
587625
619916
625809
619567
572942
572775
574205
579799
590072
593408
597141
595404
612117
628232
628884
620735
569028
567456
573100
584428
589379
590865
595454
594167
611324
612613
610763
593530
542722
536662
543599
555332
560854
562325
554788
547344
565464
577992
579714
569323
506971
500857
509127
509933
517009
519164
512238
509239




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200500&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200500&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200500&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1563278563278000
2571477569468.6672707684018.051519263772008.332729231730.826887945768191
3583775582156.9898603729365.426568979181618.010139627720.816217835909019
4598714597540.96766992513261.64103072961173.032330074860.561469521496412
5581744588798.369381601-771.195032063328-7054.36938160061-2.00962063604561
6530455542180.638410114-29959.5596655051-11725.638410114-4.23319572586153
7527676520239.650155239-24835.8944289577436.349844760660.743748332077115
8536352526852.263217731-4722.906975564469499.736782269122.91845490592824
9545732542122.2427231188061.14086329023609.757276882481.85508998118414
10558685557813.74667163512939.0440345743871.2533283651120.707834782766517
11561649564043.742475618650.46058193633-2394.74247560983-0.622316088754533
12540735547498.141173115-7455.74953091547-6763.14117311517-2.33717295799445
13538712539216.103092085-7977.71306345215-504.10309208526-0.0786946396005402
14547612546456.670595131482.004759272261155.329404870391.35402712743923
15563280563167.22345789910634.8609332478112.7765421013881.33357078403978
16581302574364.02198713110980.4600066416937.97801286940.0507514653050379
17572273568652.505639244666.5603053898063620.49436075608-1.48772361914112
18518654538969.343412602-17976.639224431-20315.3434126023-2.69517837992666
19520579519394.85184818-18959.11114420221184.14815181962-0.142593690147397
20530577520421.978155105-6643.8436753235710155.02184489511.78729349403088
21540324534660.3854413816232.111363918425663.614558618871.86832743083542
22547970545128.3916783498843.549900472842841.608321651180.378970773539681
23555654550622.222702316780.930603024855031.77729769024-0.299312321769867
24551174556919.6860247686483.81749043715-5745.68602476795-0.043224769882167
25548604557530.0229853632866.13010049972-8926.02298536307-0.529265286979605
26563668567641.7882936627301.10817628728-3973.788293661960.640833367392678
27586111585422.00574768613623.3347744957688.9942523138220.9170713889793
28604378593677.32901220710364.472632115210700.6709877934-0.476368203344316
29600991589805.0302749661668.2859075014811185.9697250336-1.26113373227333
30544686569387.739198046-11780.702753093-24701.7391980464-1.94501057271291
31537034544912.800585637-19501.654624634-7878.80058563699-1.11958821544024
32551531542019.596606747-9384.111302752519511.403393253491.4683581514
33563250553065.0818755383074.0728983511310184.91812446231.80780234710347
34574761567726.3926223410138.42474339937034.607377660091.02510733760203
35580112575364.7682206688616.066559284914747.23177933225-0.220998468985197
36575093580029.9477932336210.98743379817-4936.94779323263-0.349871955716878
37557560574344.092364801-1042.04740296879-16784.0923648005-1.05520601899008
38564478573468.81851716-940.769640563498-8990.818517160440.0146607673039618
39580523578022.818551412372.998188461632500.181448590390.480616922854551
40596594580897.8041310612676.3683833285115696.19586893930.0442022226684316
41586570570221.527680194-5428.4233185852616348.4723198064-1.17724445745246
42536214556922.949865245-10200.8978148914-20708.9498652452-0.691102453459245
43523597538797.227714874-14998.9141773075-15200.2277148739-0.695435625354993
44536535531355.952815764-10420.80461569315179.047184235620.664262404846589
45536322528428.359937929-5878.004018097727893.640062070690.659231331808749
46532638524714.872208407-4565.913791321817923.127791592730.190415841086051
47528222521338.367609307-3845.333631311046883.632390693050.104636156822217
48516141517189.561332128-4029.26113776554-1048.56133212829-0.0267367662036577
49501866517953.073041652-1122.6269916952-16087.07304165160.422132709616365
50506174518152.495243175-323.083119618133-11978.49524317490.115828512478189
51517945516563.033571913-1085.967252014351381.96642808694-0.110663079681331
52533590513856.947821108-2062.8417076648119733.0521788924-0.142108591882763
53528379509335.615054246-3549.6168575218219043.384945754-0.216023242425346
54477580497778.202527863-8392.35446645675-20198.2025278629-0.701970188932908
55469357487304.839503618-9649.13017894111-17947.8395036185-0.182158151078966
56490243485033.510319653-5194.571349992315209.489680346490.646176824051605
57492622484226.972606968-2544.150379047848395.027393031990.384619679501882
58507561495378.807360745728.6621849671312182.19263925981.20080705227391
59516922508331.65723388910092.18751542088590.342766111130.633708967530568
60514258517662.8820542539632.28009518419-3404.88205425313-0.0668161921683895
61509846526823.5012106459347.17625152663-16977.5012106449-0.041376952623064
62527070538481.29729798810740.9237890609-11411.29729798820.201992504089483
63541657542532.8721930486716.018408714-875.872193047541-0.583914528667237
64564591544777.3598882774024.1976399315219813.6401117229-0.391274842146568
65555362536630.705610985-3317.900235058218731.2943890152-1.06674027885443
66498662520868.235741767-10827.9058510783-22206.2357417665-1.08924515452835
67511038525158.647646916-1714.14623007729-14120.64764691571.32115118992253
68525919523095.123743221-1924.618750166222823.87625677942-0.0305262004093549
69531673526138.943114611068.4514172145534.05688539040.434337162641024
70548854536331.0735701156565.4809315629512522.92642988510.798025282960795
71560576550066.27201465410886.684492280210509.72798534580.627582316900896
72557274561454.81342897311189.3391082484-4180.813428973110.043953586192794
73565742581373.82744950816453.4024559018-15631.82744950760.763733434730457
74587625598035.94836504416579.0492189359-10410.9483650440.0182141623984624
75619916618043.23475022618639.22322180041872.765249774030.298901384714314
76625809609704.9340144812421.9366655927216104.0659855191-2.35626994949315
77619567599341.586827783-5275.8805704850720225.4131722171-1.11829823410488
78572942598022.110700666-2892.61706775028-25080.11070066640.345780936833018
79572775588616.731237944-6812.50655006665-15841.7312379443-0.56833018288759
80574205574511.016162885-11198.2838715911-306.01616288509-0.636049284385373
81579799573371.992630586-5150.82037953316427.007369413610.877554807462461
82590072577194.364274581244.74048071569912877.63572541890.783369078301323
83593408582281.4208634173157.9641360537711126.57913658320.423091809766574
84597141600500.85730198912224.4186934279-3359.857301989321.31638153214866
85595404613456.59657570312664.5453738403-18052.59657570250.063846595313492
86612117624227.38181391411526.4296813519-12110.3818139141-0.16501156709937
87628232621525.8141025112986.824637478166706.18589748926-1.2390261494607
88628884612235.619835932-4383.6193760673716648.3801640678-1.07059912508759
89620735602785.263913024-7429.1699871142517949.736086976-0.442389322274379
90569028591840.186088546-9543.6267471656-22812.1860885461-0.306834821148238
91567456580578.317606708-10576.288546891-13122.3176067082-0.149742960738444
92573100574625.708609834-7800.07116942926-1525.70860983390.402614448778722
93584428577330.659065006-1495.234941282337097.340934994010.914885277528916
94589379578424.17736305458.778805062764410954.82263694590.225632387290572
95590865583920.2140977443324.766417780596944.785902256020.474307628674391
96595454597280.8616637979356.18646543414-1826.861663796790.87558847928343
97594167611144.39335402512064.2543745239-16977.39335402480.392821575755822
98611324619879.5956415110066.5118731159-8555.59564151033-0.289679447483914
99612613608345.523570279-2882.489325141974267.47642972083-1.8788440472084
100610763594454.801074817-9482.9607067819116308.1989251832-0.95859058305769
101593530576211.816635911-14740.743712334417318.1833640893-0.763649427565454
102542722563445.758416018-13554.9442194793-20723.75841601810.172090230769568
103536662550974.721079101-12904.4072756125-14312.72107910070.0943428693780658
104543599545668.344096192-8348.46795813681-2069.344096191980.660724511029069
105555332546261.46713095-2989.630954850879070.532869049930.777601891883573
106560854550399.8884299621283.1450434790310454.11157003760.620377782501501
107562325558231.1079564975210.799769001594093.892043502740.570371500182374
108554788560726.5707675823581.30512039276-5938.57076758221-0.2365337239552
109547344563460.023176223072.65797101884-16116.02317622-0.0737814521636901
110565464566612.7326506483120.63280985373-1148.732650647580.00695713816445566
111577992569554.6669280123013.62953374978437.33307198839-0.0155259877587217
112579714562994.055496098-2720.3222154139116719.9445039025-0.832641940291444
113569323553512.840235083-6772.8380397055215810.1597649167-0.588536380438725
114506971531942.694332145-15646.5330431728-24971.6943321449-1.28785658666972
115500857516665.434319409-15425.1849018794-15808.43431940950.0321034383915536
116509127511292.320855556-9405.10037207832-2165.320855556180.873091628240906
117509933503629.612595866-8362.152255322176303.387404134290.151337135153299
118517009505491.775141359-2241.0894624895211517.22485864080.888713675851302
119519164512010.4806570013006.500694400487153.519342999190.762008898616363
120512238517842.902316014700.12253730001-5604.902316010430.245827314702373
121509239525399.0028646776411.2428540411-16160.00286467740.248208207935802

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 563278 & 563278 & 0 & 0 & 0 \tabularnewline
2 & 571477 & 569468.667270768 & 4018.05151926377 & 2008.33272923173 & 0.826887945768191 \tabularnewline
3 & 583775 & 582156.989860372 & 9365.42656897918 & 1618.01013962772 & 0.816217835909019 \tabularnewline
4 & 598714 & 597540.967669925 & 13261.6410307296 & 1173.03233007486 & 0.561469521496412 \tabularnewline
5 & 581744 & 588798.369381601 & -771.195032063328 & -7054.36938160061 & -2.00962063604561 \tabularnewline
6 & 530455 & 542180.638410114 & -29959.5596655051 & -11725.638410114 & -4.23319572586153 \tabularnewline
7 & 527676 & 520239.650155239 & -24835.894428957 & 7436.34984476066 & 0.743748332077115 \tabularnewline
8 & 536352 & 526852.263217731 & -4722.90697556446 & 9499.73678226912 & 2.91845490592824 \tabularnewline
9 & 545732 & 542122.242723118 & 8061.1408632902 & 3609.75727688248 & 1.85508998118414 \tabularnewline
10 & 558685 & 557813.746671635 & 12939.0440345743 & 871.253328365112 & 0.707834782766517 \tabularnewline
11 & 561649 & 564043.74247561 & 8650.46058193633 & -2394.74247560983 & -0.622316088754533 \tabularnewline
12 & 540735 & 547498.141173115 & -7455.74953091547 & -6763.14117311517 & -2.33717295799445 \tabularnewline
13 & 538712 & 539216.103092085 & -7977.71306345215 & -504.10309208526 & -0.0786946396005402 \tabularnewline
14 & 547612 & 546456.67059513 & 1482.00475927226 & 1155.32940487039 & 1.35402712743923 \tabularnewline
15 & 563280 & 563167.223457899 & 10634.8609332478 & 112.776542101388 & 1.33357078403978 \tabularnewline
16 & 581302 & 574364.021987131 & 10980.460006641 & 6937.9780128694 & 0.0507514653050379 \tabularnewline
17 & 572273 & 568652.505639244 & 666.560305389806 & 3620.49436075608 & -1.48772361914112 \tabularnewline
18 & 518654 & 538969.343412602 & -17976.639224431 & -20315.3434126023 & -2.69517837992666 \tabularnewline
19 & 520579 & 519394.85184818 & -18959.1111442022 & 1184.14815181962 & -0.142593690147397 \tabularnewline
20 & 530577 & 520421.978155105 & -6643.84367532357 & 10155.0218448951 & 1.78729349403088 \tabularnewline
21 & 540324 & 534660.385441381 & 6232.11136391842 & 5663.61455861887 & 1.86832743083542 \tabularnewline
22 & 547970 & 545128.391678349 & 8843.54990047284 & 2841.60832165118 & 0.378970773539681 \tabularnewline
23 & 555654 & 550622.22270231 & 6780.93060302485 & 5031.77729769024 & -0.299312321769867 \tabularnewline
24 & 551174 & 556919.686024768 & 6483.81749043715 & -5745.68602476795 & -0.043224769882167 \tabularnewline
25 & 548604 & 557530.022985363 & 2866.13010049972 & -8926.02298536307 & -0.529265286979605 \tabularnewline
26 & 563668 & 567641.788293662 & 7301.10817628728 & -3973.78829366196 & 0.640833367392678 \tabularnewline
27 & 586111 & 585422.005747686 & 13623.3347744957 & 688.994252313822 & 0.9170713889793 \tabularnewline
28 & 604378 & 593677.329012207 & 10364.4726321152 & 10700.6709877934 & -0.476368203344316 \tabularnewline
29 & 600991 & 589805.030274966 & 1668.28590750148 & 11185.9697250336 & -1.26113373227333 \tabularnewline
30 & 544686 & 569387.739198046 & -11780.702753093 & -24701.7391980464 & -1.94501057271291 \tabularnewline
31 & 537034 & 544912.800585637 & -19501.654624634 & -7878.80058563699 & -1.11958821544024 \tabularnewline
32 & 551531 & 542019.596606747 & -9384.11130275251 & 9511.40339325349 & 1.4683581514 \tabularnewline
33 & 563250 & 553065.081875538 & 3074.07289835113 & 10184.9181244623 & 1.80780234710347 \tabularnewline
34 & 574761 & 567726.39262234 & 10138.4247433993 & 7034.60737766009 & 1.02510733760203 \tabularnewline
35 & 580112 & 575364.768220668 & 8616.06655928491 & 4747.23177933225 & -0.220998468985197 \tabularnewline
36 & 575093 & 580029.947793233 & 6210.98743379817 & -4936.94779323263 & -0.349871955716878 \tabularnewline
37 & 557560 & 574344.092364801 & -1042.04740296879 & -16784.0923648005 & -1.05520601899008 \tabularnewline
38 & 564478 & 573468.81851716 & -940.769640563498 & -8990.81851716044 & 0.0146607673039618 \tabularnewline
39 & 580523 & 578022.81855141 & 2372.99818846163 & 2500.18144859039 & 0.480616922854551 \tabularnewline
40 & 596594 & 580897.804131061 & 2676.36838332851 & 15696.1958689393 & 0.0442022226684316 \tabularnewline
41 & 586570 & 570221.527680194 & -5428.42331858526 & 16348.4723198064 & -1.17724445745246 \tabularnewline
42 & 536214 & 556922.949865245 & -10200.8978148914 & -20708.9498652452 & -0.691102453459245 \tabularnewline
43 & 523597 & 538797.227714874 & -14998.9141773075 & -15200.2277148739 & -0.695435625354993 \tabularnewline
44 & 536535 & 531355.952815764 & -10420.8046156931 & 5179.04718423562 & 0.664262404846589 \tabularnewline
45 & 536322 & 528428.359937929 & -5878.00401809772 & 7893.64006207069 & 0.659231331808749 \tabularnewline
46 & 532638 & 524714.872208407 & -4565.91379132181 & 7923.12779159273 & 0.190415841086051 \tabularnewline
47 & 528222 & 521338.367609307 & -3845.33363131104 & 6883.63239069305 & 0.104636156822217 \tabularnewline
48 & 516141 & 517189.561332128 & -4029.26113776554 & -1048.56133212829 & -0.0267367662036577 \tabularnewline
49 & 501866 & 517953.073041652 & -1122.6269916952 & -16087.0730416516 & 0.422132709616365 \tabularnewline
50 & 506174 & 518152.495243175 & -323.083119618133 & -11978.4952431749 & 0.115828512478189 \tabularnewline
51 & 517945 & 516563.033571913 & -1085.96725201435 & 1381.96642808694 & -0.110663079681331 \tabularnewline
52 & 533590 & 513856.947821108 & -2062.84170766481 & 19733.0521788924 & -0.142108591882763 \tabularnewline
53 & 528379 & 509335.615054246 & -3549.61685752182 & 19043.384945754 & -0.216023242425346 \tabularnewline
54 & 477580 & 497778.202527863 & -8392.35446645675 & -20198.2025278629 & -0.701970188932908 \tabularnewline
55 & 469357 & 487304.839503618 & -9649.13017894111 & -17947.8395036185 & -0.182158151078966 \tabularnewline
56 & 490243 & 485033.510319653 & -5194.57134999231 & 5209.48968034649 & 0.646176824051605 \tabularnewline
57 & 492622 & 484226.972606968 & -2544.15037904784 & 8395.02739303199 & 0.384619679501882 \tabularnewline
58 & 507561 & 495378.80736074 & 5728.66218496713 & 12182.1926392598 & 1.20080705227391 \tabularnewline
59 & 516922 & 508331.657233889 & 10092.1875154208 & 8590.34276611113 & 0.633708967530568 \tabularnewline
60 & 514258 & 517662.882054253 & 9632.28009518419 & -3404.88205425313 & -0.0668161921683895 \tabularnewline
61 & 509846 & 526823.501210645 & 9347.17625152663 & -16977.5012106449 & -0.041376952623064 \tabularnewline
62 & 527070 & 538481.297297988 & 10740.9237890609 & -11411.2972979882 & 0.201992504089483 \tabularnewline
63 & 541657 & 542532.872193048 & 6716.018408714 & -875.872193047541 & -0.583914528667237 \tabularnewline
64 & 564591 & 544777.359888277 & 4024.19763993152 & 19813.6401117229 & -0.391274842146568 \tabularnewline
65 & 555362 & 536630.705610985 & -3317.9002350582 & 18731.2943890152 & -1.06674027885443 \tabularnewline
66 & 498662 & 520868.235741767 & -10827.9058510783 & -22206.2357417665 & -1.08924515452835 \tabularnewline
67 & 511038 & 525158.647646916 & -1714.14623007729 & -14120.6476469157 & 1.32115118992253 \tabularnewline
68 & 525919 & 523095.123743221 & -1924.61875016622 & 2823.87625677942 & -0.0305262004093549 \tabularnewline
69 & 531673 & 526138.94311461 & 1068.451417214 & 5534.0568853904 & 0.434337162641024 \tabularnewline
70 & 548854 & 536331.073570115 & 6565.48093156295 & 12522.9264298851 & 0.798025282960795 \tabularnewline
71 & 560576 & 550066.272014654 & 10886.6844922802 & 10509.7279853458 & 0.627582316900896 \tabularnewline
72 & 557274 & 561454.813428973 & 11189.3391082484 & -4180.81342897311 & 0.043953586192794 \tabularnewline
73 & 565742 & 581373.827449508 & 16453.4024559018 & -15631.8274495076 & 0.763733434730457 \tabularnewline
74 & 587625 & 598035.948365044 & 16579.0492189359 & -10410.948365044 & 0.0182141623984624 \tabularnewline
75 & 619916 & 618043.234750226 & 18639.2232218004 & 1872.76524977403 & 0.298901384714314 \tabularnewline
76 & 625809 & 609704.934014481 & 2421.93666559272 & 16104.0659855191 & -2.35626994949315 \tabularnewline
77 & 619567 & 599341.586827783 & -5275.88057048507 & 20225.4131722171 & -1.11829823410488 \tabularnewline
78 & 572942 & 598022.110700666 & -2892.61706775028 & -25080.1107006664 & 0.345780936833018 \tabularnewline
79 & 572775 & 588616.731237944 & -6812.50655006665 & -15841.7312379443 & -0.56833018288759 \tabularnewline
80 & 574205 & 574511.016162885 & -11198.2838715911 & -306.01616288509 & -0.636049284385373 \tabularnewline
81 & 579799 & 573371.992630586 & -5150.8203795331 & 6427.00736941361 & 0.877554807462461 \tabularnewline
82 & 590072 & 577194.364274581 & 244.740480715699 & 12877.6357254189 & 0.783369078301323 \tabularnewline
83 & 593408 & 582281.420863417 & 3157.96413605377 & 11126.5791365832 & 0.423091809766574 \tabularnewline
84 & 597141 & 600500.857301989 & 12224.4186934279 & -3359.85730198932 & 1.31638153214866 \tabularnewline
85 & 595404 & 613456.596575703 & 12664.5453738403 & -18052.5965757025 & 0.063846595313492 \tabularnewline
86 & 612117 & 624227.381813914 & 11526.4296813519 & -12110.3818139141 & -0.16501156709937 \tabularnewline
87 & 628232 & 621525.814102511 & 2986.82463747816 & 6706.18589748926 & -1.2390261494607 \tabularnewline
88 & 628884 & 612235.619835932 & -4383.61937606737 & 16648.3801640678 & -1.07059912508759 \tabularnewline
89 & 620735 & 602785.263913024 & -7429.16998711425 & 17949.736086976 & -0.442389322274379 \tabularnewline
90 & 569028 & 591840.186088546 & -9543.6267471656 & -22812.1860885461 & -0.306834821148238 \tabularnewline
91 & 567456 & 580578.317606708 & -10576.288546891 & -13122.3176067082 & -0.149742960738444 \tabularnewline
92 & 573100 & 574625.708609834 & -7800.07116942926 & -1525.7086098339 & 0.402614448778722 \tabularnewline
93 & 584428 & 577330.659065006 & -1495.23494128233 & 7097.34093499401 & 0.914885277528916 \tabularnewline
94 & 589379 & 578424.177363054 & 58.7788050627644 & 10954.8226369459 & 0.225632387290572 \tabularnewline
95 & 590865 & 583920.214097744 & 3324.76641778059 & 6944.78590225602 & 0.474307628674391 \tabularnewline
96 & 595454 & 597280.861663797 & 9356.18646543414 & -1826.86166379679 & 0.87558847928343 \tabularnewline
97 & 594167 & 611144.393354025 & 12064.2543745239 & -16977.3933540248 & 0.392821575755822 \tabularnewline
98 & 611324 & 619879.59564151 & 10066.5118731159 & -8555.59564151033 & -0.289679447483914 \tabularnewline
99 & 612613 & 608345.523570279 & -2882.48932514197 & 4267.47642972083 & -1.8788440472084 \tabularnewline
100 & 610763 & 594454.801074817 & -9482.96070678191 & 16308.1989251832 & -0.95859058305769 \tabularnewline
101 & 593530 & 576211.816635911 & -14740.7437123344 & 17318.1833640893 & -0.763649427565454 \tabularnewline
102 & 542722 & 563445.758416018 & -13554.9442194793 & -20723.7584160181 & 0.172090230769568 \tabularnewline
103 & 536662 & 550974.721079101 & -12904.4072756125 & -14312.7210791007 & 0.0943428693780658 \tabularnewline
104 & 543599 & 545668.344096192 & -8348.46795813681 & -2069.34409619198 & 0.660724511029069 \tabularnewline
105 & 555332 & 546261.46713095 & -2989.63095485087 & 9070.53286904993 & 0.777601891883573 \tabularnewline
106 & 560854 & 550399.888429962 & 1283.14504347903 & 10454.1115700376 & 0.620377782501501 \tabularnewline
107 & 562325 & 558231.107956497 & 5210.79976900159 & 4093.89204350274 & 0.570371500182374 \tabularnewline
108 & 554788 & 560726.570767582 & 3581.30512039276 & -5938.57076758221 & -0.2365337239552 \tabularnewline
109 & 547344 & 563460.02317622 & 3072.65797101884 & -16116.02317622 & -0.0737814521636901 \tabularnewline
110 & 565464 & 566612.732650648 & 3120.63280985373 & -1148.73265064758 & 0.00695713816445566 \tabularnewline
111 & 577992 & 569554.666928012 & 3013.6295337497 & 8437.33307198839 & -0.0155259877587217 \tabularnewline
112 & 579714 & 562994.055496098 & -2720.32221541391 & 16719.9445039025 & -0.832641940291444 \tabularnewline
113 & 569323 & 553512.840235083 & -6772.83803970552 & 15810.1597649167 & -0.588536380438725 \tabularnewline
114 & 506971 & 531942.694332145 & -15646.5330431728 & -24971.6943321449 & -1.28785658666972 \tabularnewline
115 & 500857 & 516665.434319409 & -15425.1849018794 & -15808.4343194095 & 0.0321034383915536 \tabularnewline
116 & 509127 & 511292.320855556 & -9405.10037207832 & -2165.32085555618 & 0.873091628240906 \tabularnewline
117 & 509933 & 503629.612595866 & -8362.15225532217 & 6303.38740413429 & 0.151337135153299 \tabularnewline
118 & 517009 & 505491.775141359 & -2241.08946248952 & 11517.2248586408 & 0.888713675851302 \tabularnewline
119 & 519164 & 512010.480657001 & 3006.50069440048 & 7153.51934299919 & 0.762008898616363 \tabularnewline
120 & 512238 & 517842.90231601 & 4700.12253730001 & -5604.90231601043 & 0.245827314702373 \tabularnewline
121 & 509239 & 525399.002864677 & 6411.2428540411 & -16160.0028646774 & 0.248208207935802 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200500&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]563278[/C][C]563278[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]571477[/C][C]569468.667270768[/C][C]4018.05151926377[/C][C]2008.33272923173[/C][C]0.826887945768191[/C][/ROW]
[ROW][C]3[/C][C]583775[/C][C]582156.989860372[/C][C]9365.42656897918[/C][C]1618.01013962772[/C][C]0.816217835909019[/C][/ROW]
[ROW][C]4[/C][C]598714[/C][C]597540.967669925[/C][C]13261.6410307296[/C][C]1173.03233007486[/C][C]0.561469521496412[/C][/ROW]
[ROW][C]5[/C][C]581744[/C][C]588798.369381601[/C][C]-771.195032063328[/C][C]-7054.36938160061[/C][C]-2.00962063604561[/C][/ROW]
[ROW][C]6[/C][C]530455[/C][C]542180.638410114[/C][C]-29959.5596655051[/C][C]-11725.638410114[/C][C]-4.23319572586153[/C][/ROW]
[ROW][C]7[/C][C]527676[/C][C]520239.650155239[/C][C]-24835.894428957[/C][C]7436.34984476066[/C][C]0.743748332077115[/C][/ROW]
[ROW][C]8[/C][C]536352[/C][C]526852.263217731[/C][C]-4722.90697556446[/C][C]9499.73678226912[/C][C]2.91845490592824[/C][/ROW]
[ROW][C]9[/C][C]545732[/C][C]542122.242723118[/C][C]8061.1408632902[/C][C]3609.75727688248[/C][C]1.85508998118414[/C][/ROW]
[ROW][C]10[/C][C]558685[/C][C]557813.746671635[/C][C]12939.0440345743[/C][C]871.253328365112[/C][C]0.707834782766517[/C][/ROW]
[ROW][C]11[/C][C]561649[/C][C]564043.74247561[/C][C]8650.46058193633[/C][C]-2394.74247560983[/C][C]-0.622316088754533[/C][/ROW]
[ROW][C]12[/C][C]540735[/C][C]547498.141173115[/C][C]-7455.74953091547[/C][C]-6763.14117311517[/C][C]-2.33717295799445[/C][/ROW]
[ROW][C]13[/C][C]538712[/C][C]539216.103092085[/C][C]-7977.71306345215[/C][C]-504.10309208526[/C][C]-0.0786946396005402[/C][/ROW]
[ROW][C]14[/C][C]547612[/C][C]546456.67059513[/C][C]1482.00475927226[/C][C]1155.32940487039[/C][C]1.35402712743923[/C][/ROW]
[ROW][C]15[/C][C]563280[/C][C]563167.223457899[/C][C]10634.8609332478[/C][C]112.776542101388[/C][C]1.33357078403978[/C][/ROW]
[ROW][C]16[/C][C]581302[/C][C]574364.021987131[/C][C]10980.460006641[/C][C]6937.9780128694[/C][C]0.0507514653050379[/C][/ROW]
[ROW][C]17[/C][C]572273[/C][C]568652.505639244[/C][C]666.560305389806[/C][C]3620.49436075608[/C][C]-1.48772361914112[/C][/ROW]
[ROW][C]18[/C][C]518654[/C][C]538969.343412602[/C][C]-17976.639224431[/C][C]-20315.3434126023[/C][C]-2.69517837992666[/C][/ROW]
[ROW][C]19[/C][C]520579[/C][C]519394.85184818[/C][C]-18959.1111442022[/C][C]1184.14815181962[/C][C]-0.142593690147397[/C][/ROW]
[ROW][C]20[/C][C]530577[/C][C]520421.978155105[/C][C]-6643.84367532357[/C][C]10155.0218448951[/C][C]1.78729349403088[/C][/ROW]
[ROW][C]21[/C][C]540324[/C][C]534660.385441381[/C][C]6232.11136391842[/C][C]5663.61455861887[/C][C]1.86832743083542[/C][/ROW]
[ROW][C]22[/C][C]547970[/C][C]545128.391678349[/C][C]8843.54990047284[/C][C]2841.60832165118[/C][C]0.378970773539681[/C][/ROW]
[ROW][C]23[/C][C]555654[/C][C]550622.22270231[/C][C]6780.93060302485[/C][C]5031.77729769024[/C][C]-0.299312321769867[/C][/ROW]
[ROW][C]24[/C][C]551174[/C][C]556919.686024768[/C][C]6483.81749043715[/C][C]-5745.68602476795[/C][C]-0.043224769882167[/C][/ROW]
[ROW][C]25[/C][C]548604[/C][C]557530.022985363[/C][C]2866.13010049972[/C][C]-8926.02298536307[/C][C]-0.529265286979605[/C][/ROW]
[ROW][C]26[/C][C]563668[/C][C]567641.788293662[/C][C]7301.10817628728[/C][C]-3973.78829366196[/C][C]0.640833367392678[/C][/ROW]
[ROW][C]27[/C][C]586111[/C][C]585422.005747686[/C][C]13623.3347744957[/C][C]688.994252313822[/C][C]0.9170713889793[/C][/ROW]
[ROW][C]28[/C][C]604378[/C][C]593677.329012207[/C][C]10364.4726321152[/C][C]10700.6709877934[/C][C]-0.476368203344316[/C][/ROW]
[ROW][C]29[/C][C]600991[/C][C]589805.030274966[/C][C]1668.28590750148[/C][C]11185.9697250336[/C][C]-1.26113373227333[/C][/ROW]
[ROW][C]30[/C][C]544686[/C][C]569387.739198046[/C][C]-11780.702753093[/C][C]-24701.7391980464[/C][C]-1.94501057271291[/C][/ROW]
[ROW][C]31[/C][C]537034[/C][C]544912.800585637[/C][C]-19501.654624634[/C][C]-7878.80058563699[/C][C]-1.11958821544024[/C][/ROW]
[ROW][C]32[/C][C]551531[/C][C]542019.596606747[/C][C]-9384.11130275251[/C][C]9511.40339325349[/C][C]1.4683581514[/C][/ROW]
[ROW][C]33[/C][C]563250[/C][C]553065.081875538[/C][C]3074.07289835113[/C][C]10184.9181244623[/C][C]1.80780234710347[/C][/ROW]
[ROW][C]34[/C][C]574761[/C][C]567726.39262234[/C][C]10138.4247433993[/C][C]7034.60737766009[/C][C]1.02510733760203[/C][/ROW]
[ROW][C]35[/C][C]580112[/C][C]575364.768220668[/C][C]8616.06655928491[/C][C]4747.23177933225[/C][C]-0.220998468985197[/C][/ROW]
[ROW][C]36[/C][C]575093[/C][C]580029.947793233[/C][C]6210.98743379817[/C][C]-4936.94779323263[/C][C]-0.349871955716878[/C][/ROW]
[ROW][C]37[/C][C]557560[/C][C]574344.092364801[/C][C]-1042.04740296879[/C][C]-16784.0923648005[/C][C]-1.05520601899008[/C][/ROW]
[ROW][C]38[/C][C]564478[/C][C]573468.81851716[/C][C]-940.769640563498[/C][C]-8990.81851716044[/C][C]0.0146607673039618[/C][/ROW]
[ROW][C]39[/C][C]580523[/C][C]578022.81855141[/C][C]2372.99818846163[/C][C]2500.18144859039[/C][C]0.480616922854551[/C][/ROW]
[ROW][C]40[/C][C]596594[/C][C]580897.804131061[/C][C]2676.36838332851[/C][C]15696.1958689393[/C][C]0.0442022226684316[/C][/ROW]
[ROW][C]41[/C][C]586570[/C][C]570221.527680194[/C][C]-5428.42331858526[/C][C]16348.4723198064[/C][C]-1.17724445745246[/C][/ROW]
[ROW][C]42[/C][C]536214[/C][C]556922.949865245[/C][C]-10200.8978148914[/C][C]-20708.9498652452[/C][C]-0.691102453459245[/C][/ROW]
[ROW][C]43[/C][C]523597[/C][C]538797.227714874[/C][C]-14998.9141773075[/C][C]-15200.2277148739[/C][C]-0.695435625354993[/C][/ROW]
[ROW][C]44[/C][C]536535[/C][C]531355.952815764[/C][C]-10420.8046156931[/C][C]5179.04718423562[/C][C]0.664262404846589[/C][/ROW]
[ROW][C]45[/C][C]536322[/C][C]528428.359937929[/C][C]-5878.00401809772[/C][C]7893.64006207069[/C][C]0.659231331808749[/C][/ROW]
[ROW][C]46[/C][C]532638[/C][C]524714.872208407[/C][C]-4565.91379132181[/C][C]7923.12779159273[/C][C]0.190415841086051[/C][/ROW]
[ROW][C]47[/C][C]528222[/C][C]521338.367609307[/C][C]-3845.33363131104[/C][C]6883.63239069305[/C][C]0.104636156822217[/C][/ROW]
[ROW][C]48[/C][C]516141[/C][C]517189.561332128[/C][C]-4029.26113776554[/C][C]-1048.56133212829[/C][C]-0.0267367662036577[/C][/ROW]
[ROW][C]49[/C][C]501866[/C][C]517953.073041652[/C][C]-1122.6269916952[/C][C]-16087.0730416516[/C][C]0.422132709616365[/C][/ROW]
[ROW][C]50[/C][C]506174[/C][C]518152.495243175[/C][C]-323.083119618133[/C][C]-11978.4952431749[/C][C]0.115828512478189[/C][/ROW]
[ROW][C]51[/C][C]517945[/C][C]516563.033571913[/C][C]-1085.96725201435[/C][C]1381.96642808694[/C][C]-0.110663079681331[/C][/ROW]
[ROW][C]52[/C][C]533590[/C][C]513856.947821108[/C][C]-2062.84170766481[/C][C]19733.0521788924[/C][C]-0.142108591882763[/C][/ROW]
[ROW][C]53[/C][C]528379[/C][C]509335.615054246[/C][C]-3549.61685752182[/C][C]19043.384945754[/C][C]-0.216023242425346[/C][/ROW]
[ROW][C]54[/C][C]477580[/C][C]497778.202527863[/C][C]-8392.35446645675[/C][C]-20198.2025278629[/C][C]-0.701970188932908[/C][/ROW]
[ROW][C]55[/C][C]469357[/C][C]487304.839503618[/C][C]-9649.13017894111[/C][C]-17947.8395036185[/C][C]-0.182158151078966[/C][/ROW]
[ROW][C]56[/C][C]490243[/C][C]485033.510319653[/C][C]-5194.57134999231[/C][C]5209.48968034649[/C][C]0.646176824051605[/C][/ROW]
[ROW][C]57[/C][C]492622[/C][C]484226.972606968[/C][C]-2544.15037904784[/C][C]8395.02739303199[/C][C]0.384619679501882[/C][/ROW]
[ROW][C]58[/C][C]507561[/C][C]495378.80736074[/C][C]5728.66218496713[/C][C]12182.1926392598[/C][C]1.20080705227391[/C][/ROW]
[ROW][C]59[/C][C]516922[/C][C]508331.657233889[/C][C]10092.1875154208[/C][C]8590.34276611113[/C][C]0.633708967530568[/C][/ROW]
[ROW][C]60[/C][C]514258[/C][C]517662.882054253[/C][C]9632.28009518419[/C][C]-3404.88205425313[/C][C]-0.0668161921683895[/C][/ROW]
[ROW][C]61[/C][C]509846[/C][C]526823.501210645[/C][C]9347.17625152663[/C][C]-16977.5012106449[/C][C]-0.041376952623064[/C][/ROW]
[ROW][C]62[/C][C]527070[/C][C]538481.297297988[/C][C]10740.9237890609[/C][C]-11411.2972979882[/C][C]0.201992504089483[/C][/ROW]
[ROW][C]63[/C][C]541657[/C][C]542532.872193048[/C][C]6716.018408714[/C][C]-875.872193047541[/C][C]-0.583914528667237[/C][/ROW]
[ROW][C]64[/C][C]564591[/C][C]544777.359888277[/C][C]4024.19763993152[/C][C]19813.6401117229[/C][C]-0.391274842146568[/C][/ROW]
[ROW][C]65[/C][C]555362[/C][C]536630.705610985[/C][C]-3317.9002350582[/C][C]18731.2943890152[/C][C]-1.06674027885443[/C][/ROW]
[ROW][C]66[/C][C]498662[/C][C]520868.235741767[/C][C]-10827.9058510783[/C][C]-22206.2357417665[/C][C]-1.08924515452835[/C][/ROW]
[ROW][C]67[/C][C]511038[/C][C]525158.647646916[/C][C]-1714.14623007729[/C][C]-14120.6476469157[/C][C]1.32115118992253[/C][/ROW]
[ROW][C]68[/C][C]525919[/C][C]523095.123743221[/C][C]-1924.61875016622[/C][C]2823.87625677942[/C][C]-0.0305262004093549[/C][/ROW]
[ROW][C]69[/C][C]531673[/C][C]526138.94311461[/C][C]1068.451417214[/C][C]5534.0568853904[/C][C]0.434337162641024[/C][/ROW]
[ROW][C]70[/C][C]548854[/C][C]536331.073570115[/C][C]6565.48093156295[/C][C]12522.9264298851[/C][C]0.798025282960795[/C][/ROW]
[ROW][C]71[/C][C]560576[/C][C]550066.272014654[/C][C]10886.6844922802[/C][C]10509.7279853458[/C][C]0.627582316900896[/C][/ROW]
[ROW][C]72[/C][C]557274[/C][C]561454.813428973[/C][C]11189.3391082484[/C][C]-4180.81342897311[/C][C]0.043953586192794[/C][/ROW]
[ROW][C]73[/C][C]565742[/C][C]581373.827449508[/C][C]16453.4024559018[/C][C]-15631.8274495076[/C][C]0.763733434730457[/C][/ROW]
[ROW][C]74[/C][C]587625[/C][C]598035.948365044[/C][C]16579.0492189359[/C][C]-10410.948365044[/C][C]0.0182141623984624[/C][/ROW]
[ROW][C]75[/C][C]619916[/C][C]618043.234750226[/C][C]18639.2232218004[/C][C]1872.76524977403[/C][C]0.298901384714314[/C][/ROW]
[ROW][C]76[/C][C]625809[/C][C]609704.934014481[/C][C]2421.93666559272[/C][C]16104.0659855191[/C][C]-2.35626994949315[/C][/ROW]
[ROW][C]77[/C][C]619567[/C][C]599341.586827783[/C][C]-5275.88057048507[/C][C]20225.4131722171[/C][C]-1.11829823410488[/C][/ROW]
[ROW][C]78[/C][C]572942[/C][C]598022.110700666[/C][C]-2892.61706775028[/C][C]-25080.1107006664[/C][C]0.345780936833018[/C][/ROW]
[ROW][C]79[/C][C]572775[/C][C]588616.731237944[/C][C]-6812.50655006665[/C][C]-15841.7312379443[/C][C]-0.56833018288759[/C][/ROW]
[ROW][C]80[/C][C]574205[/C][C]574511.016162885[/C][C]-11198.2838715911[/C][C]-306.01616288509[/C][C]-0.636049284385373[/C][/ROW]
[ROW][C]81[/C][C]579799[/C][C]573371.992630586[/C][C]-5150.8203795331[/C][C]6427.00736941361[/C][C]0.877554807462461[/C][/ROW]
[ROW][C]82[/C][C]590072[/C][C]577194.364274581[/C][C]244.740480715699[/C][C]12877.6357254189[/C][C]0.783369078301323[/C][/ROW]
[ROW][C]83[/C][C]593408[/C][C]582281.420863417[/C][C]3157.96413605377[/C][C]11126.5791365832[/C][C]0.423091809766574[/C][/ROW]
[ROW][C]84[/C][C]597141[/C][C]600500.857301989[/C][C]12224.4186934279[/C][C]-3359.85730198932[/C][C]1.31638153214866[/C][/ROW]
[ROW][C]85[/C][C]595404[/C][C]613456.596575703[/C][C]12664.5453738403[/C][C]-18052.5965757025[/C][C]0.063846595313492[/C][/ROW]
[ROW][C]86[/C][C]612117[/C][C]624227.381813914[/C][C]11526.4296813519[/C][C]-12110.3818139141[/C][C]-0.16501156709937[/C][/ROW]
[ROW][C]87[/C][C]628232[/C][C]621525.814102511[/C][C]2986.82463747816[/C][C]6706.18589748926[/C][C]-1.2390261494607[/C][/ROW]
[ROW][C]88[/C][C]628884[/C][C]612235.619835932[/C][C]-4383.61937606737[/C][C]16648.3801640678[/C][C]-1.07059912508759[/C][/ROW]
[ROW][C]89[/C][C]620735[/C][C]602785.263913024[/C][C]-7429.16998711425[/C][C]17949.736086976[/C][C]-0.442389322274379[/C][/ROW]
[ROW][C]90[/C][C]569028[/C][C]591840.186088546[/C][C]-9543.6267471656[/C][C]-22812.1860885461[/C][C]-0.306834821148238[/C][/ROW]
[ROW][C]91[/C][C]567456[/C][C]580578.317606708[/C][C]-10576.288546891[/C][C]-13122.3176067082[/C][C]-0.149742960738444[/C][/ROW]
[ROW][C]92[/C][C]573100[/C][C]574625.708609834[/C][C]-7800.07116942926[/C][C]-1525.7086098339[/C][C]0.402614448778722[/C][/ROW]
[ROW][C]93[/C][C]584428[/C][C]577330.659065006[/C][C]-1495.23494128233[/C][C]7097.34093499401[/C][C]0.914885277528916[/C][/ROW]
[ROW][C]94[/C][C]589379[/C][C]578424.177363054[/C][C]58.7788050627644[/C][C]10954.8226369459[/C][C]0.225632387290572[/C][/ROW]
[ROW][C]95[/C][C]590865[/C][C]583920.214097744[/C][C]3324.76641778059[/C][C]6944.78590225602[/C][C]0.474307628674391[/C][/ROW]
[ROW][C]96[/C][C]595454[/C][C]597280.861663797[/C][C]9356.18646543414[/C][C]-1826.86166379679[/C][C]0.87558847928343[/C][/ROW]
[ROW][C]97[/C][C]594167[/C][C]611144.393354025[/C][C]12064.2543745239[/C][C]-16977.3933540248[/C][C]0.392821575755822[/C][/ROW]
[ROW][C]98[/C][C]611324[/C][C]619879.59564151[/C][C]10066.5118731159[/C][C]-8555.59564151033[/C][C]-0.289679447483914[/C][/ROW]
[ROW][C]99[/C][C]612613[/C][C]608345.523570279[/C][C]-2882.48932514197[/C][C]4267.47642972083[/C][C]-1.8788440472084[/C][/ROW]
[ROW][C]100[/C][C]610763[/C][C]594454.801074817[/C][C]-9482.96070678191[/C][C]16308.1989251832[/C][C]-0.95859058305769[/C][/ROW]
[ROW][C]101[/C][C]593530[/C][C]576211.816635911[/C][C]-14740.7437123344[/C][C]17318.1833640893[/C][C]-0.763649427565454[/C][/ROW]
[ROW][C]102[/C][C]542722[/C][C]563445.758416018[/C][C]-13554.9442194793[/C][C]-20723.7584160181[/C][C]0.172090230769568[/C][/ROW]
[ROW][C]103[/C][C]536662[/C][C]550974.721079101[/C][C]-12904.4072756125[/C][C]-14312.7210791007[/C][C]0.0943428693780658[/C][/ROW]
[ROW][C]104[/C][C]543599[/C][C]545668.344096192[/C][C]-8348.46795813681[/C][C]-2069.34409619198[/C][C]0.660724511029069[/C][/ROW]
[ROW][C]105[/C][C]555332[/C][C]546261.46713095[/C][C]-2989.63095485087[/C][C]9070.53286904993[/C][C]0.777601891883573[/C][/ROW]
[ROW][C]106[/C][C]560854[/C][C]550399.888429962[/C][C]1283.14504347903[/C][C]10454.1115700376[/C][C]0.620377782501501[/C][/ROW]
[ROW][C]107[/C][C]562325[/C][C]558231.107956497[/C][C]5210.79976900159[/C][C]4093.89204350274[/C][C]0.570371500182374[/C][/ROW]
[ROW][C]108[/C][C]554788[/C][C]560726.570767582[/C][C]3581.30512039276[/C][C]-5938.57076758221[/C][C]-0.2365337239552[/C][/ROW]
[ROW][C]109[/C][C]547344[/C][C]563460.02317622[/C][C]3072.65797101884[/C][C]-16116.02317622[/C][C]-0.0737814521636901[/C][/ROW]
[ROW][C]110[/C][C]565464[/C][C]566612.732650648[/C][C]3120.63280985373[/C][C]-1148.73265064758[/C][C]0.00695713816445566[/C][/ROW]
[ROW][C]111[/C][C]577992[/C][C]569554.666928012[/C][C]3013.6295337497[/C][C]8437.33307198839[/C][C]-0.0155259877587217[/C][/ROW]
[ROW][C]112[/C][C]579714[/C][C]562994.055496098[/C][C]-2720.32221541391[/C][C]16719.9445039025[/C][C]-0.832641940291444[/C][/ROW]
[ROW][C]113[/C][C]569323[/C][C]553512.840235083[/C][C]-6772.83803970552[/C][C]15810.1597649167[/C][C]-0.588536380438725[/C][/ROW]
[ROW][C]114[/C][C]506971[/C][C]531942.694332145[/C][C]-15646.5330431728[/C][C]-24971.6943321449[/C][C]-1.28785658666972[/C][/ROW]
[ROW][C]115[/C][C]500857[/C][C]516665.434319409[/C][C]-15425.1849018794[/C][C]-15808.4343194095[/C][C]0.0321034383915536[/C][/ROW]
[ROW][C]116[/C][C]509127[/C][C]511292.320855556[/C][C]-9405.10037207832[/C][C]-2165.32085555618[/C][C]0.873091628240906[/C][/ROW]
[ROW][C]117[/C][C]509933[/C][C]503629.612595866[/C][C]-8362.15225532217[/C][C]6303.38740413429[/C][C]0.151337135153299[/C][/ROW]
[ROW][C]118[/C][C]517009[/C][C]505491.775141359[/C][C]-2241.08946248952[/C][C]11517.2248586408[/C][C]0.888713675851302[/C][/ROW]
[ROW][C]119[/C][C]519164[/C][C]512010.480657001[/C][C]3006.50069440048[/C][C]7153.51934299919[/C][C]0.762008898616363[/C][/ROW]
[ROW][C]120[/C][C]512238[/C][C]517842.90231601[/C][C]4700.12253730001[/C][C]-5604.90231601043[/C][C]0.245827314702373[/C][/ROW]
[ROW][C]121[/C][C]509239[/C][C]525399.002864677[/C][C]6411.2428540411[/C][C]-16160.0028646774[/C][C]0.248208207935802[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200500&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200500&T=1

As an alternative you can also use a QR Code:  

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

Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1563278563278000
2571477569468.6672707684018.051519263772008.332729231730.826887945768191
3583775582156.9898603729365.426568979181618.010139627720.816217835909019
4598714597540.96766992513261.64103072961173.032330074860.561469521496412
5581744588798.369381601-771.195032063328-7054.36938160061-2.00962063604561
6530455542180.638410114-29959.5596655051-11725.638410114-4.23319572586153
7527676520239.650155239-24835.8944289577436.349844760660.743748332077115
8536352526852.263217731-4722.906975564469499.736782269122.91845490592824
9545732542122.2427231188061.14086329023609.757276882481.85508998118414
10558685557813.74667163512939.0440345743871.2533283651120.707834782766517
11561649564043.742475618650.46058193633-2394.74247560983-0.622316088754533
12540735547498.141173115-7455.74953091547-6763.14117311517-2.33717295799445
13538712539216.103092085-7977.71306345215-504.10309208526-0.0786946396005402
14547612546456.670595131482.004759272261155.329404870391.35402712743923
15563280563167.22345789910634.8609332478112.7765421013881.33357078403978
16581302574364.02198713110980.4600066416937.97801286940.0507514653050379
17572273568652.505639244666.5603053898063620.49436075608-1.48772361914112
18518654538969.343412602-17976.639224431-20315.3434126023-2.69517837992666
19520579519394.85184818-18959.11114420221184.14815181962-0.142593690147397
20530577520421.978155105-6643.8436753235710155.02184489511.78729349403088
21540324534660.3854413816232.111363918425663.614558618871.86832743083542
22547970545128.3916783498843.549900472842841.608321651180.378970773539681
23555654550622.222702316780.930603024855031.77729769024-0.299312321769867
24551174556919.6860247686483.81749043715-5745.68602476795-0.043224769882167
25548604557530.0229853632866.13010049972-8926.02298536307-0.529265286979605
26563668567641.7882936627301.10817628728-3973.788293661960.640833367392678
27586111585422.00574768613623.3347744957688.9942523138220.9170713889793
28604378593677.32901220710364.472632115210700.6709877934-0.476368203344316
29600991589805.0302749661668.2859075014811185.9697250336-1.26113373227333
30544686569387.739198046-11780.702753093-24701.7391980464-1.94501057271291
31537034544912.800585637-19501.654624634-7878.80058563699-1.11958821544024
32551531542019.596606747-9384.111302752519511.403393253491.4683581514
33563250553065.0818755383074.0728983511310184.91812446231.80780234710347
34574761567726.3926223410138.42474339937034.607377660091.02510733760203
35580112575364.7682206688616.066559284914747.23177933225-0.220998468985197
36575093580029.9477932336210.98743379817-4936.94779323263-0.349871955716878
37557560574344.092364801-1042.04740296879-16784.0923648005-1.05520601899008
38564478573468.81851716-940.769640563498-8990.818517160440.0146607673039618
39580523578022.818551412372.998188461632500.181448590390.480616922854551
40596594580897.8041310612676.3683833285115696.19586893930.0442022226684316
41586570570221.527680194-5428.4233185852616348.4723198064-1.17724445745246
42536214556922.949865245-10200.8978148914-20708.9498652452-0.691102453459245
43523597538797.227714874-14998.9141773075-15200.2277148739-0.695435625354993
44536535531355.952815764-10420.80461569315179.047184235620.664262404846589
45536322528428.359937929-5878.004018097727893.640062070690.659231331808749
46532638524714.872208407-4565.913791321817923.127791592730.190415841086051
47528222521338.367609307-3845.333631311046883.632390693050.104636156822217
48516141517189.561332128-4029.26113776554-1048.56133212829-0.0267367662036577
49501866517953.073041652-1122.6269916952-16087.07304165160.422132709616365
50506174518152.495243175-323.083119618133-11978.49524317490.115828512478189
51517945516563.033571913-1085.967252014351381.96642808694-0.110663079681331
52533590513856.947821108-2062.8417076648119733.0521788924-0.142108591882763
53528379509335.615054246-3549.6168575218219043.384945754-0.216023242425346
54477580497778.202527863-8392.35446645675-20198.2025278629-0.701970188932908
55469357487304.839503618-9649.13017894111-17947.8395036185-0.182158151078966
56490243485033.510319653-5194.571349992315209.489680346490.646176824051605
57492622484226.972606968-2544.150379047848395.027393031990.384619679501882
58507561495378.807360745728.6621849671312182.19263925981.20080705227391
59516922508331.65723388910092.18751542088590.342766111130.633708967530568
60514258517662.8820542539632.28009518419-3404.88205425313-0.0668161921683895
61509846526823.5012106459347.17625152663-16977.5012106449-0.041376952623064
62527070538481.29729798810740.9237890609-11411.29729798820.201992504089483
63541657542532.8721930486716.018408714-875.872193047541-0.583914528667237
64564591544777.3598882774024.1976399315219813.6401117229-0.391274842146568
65555362536630.705610985-3317.900235058218731.2943890152-1.06674027885443
66498662520868.235741767-10827.9058510783-22206.2357417665-1.08924515452835
67511038525158.647646916-1714.14623007729-14120.64764691571.32115118992253
68525919523095.123743221-1924.618750166222823.87625677942-0.0305262004093549
69531673526138.943114611068.4514172145534.05688539040.434337162641024
70548854536331.0735701156565.4809315629512522.92642988510.798025282960795
71560576550066.27201465410886.684492280210509.72798534580.627582316900896
72557274561454.81342897311189.3391082484-4180.813428973110.043953586192794
73565742581373.82744950816453.4024559018-15631.82744950760.763733434730457
74587625598035.94836504416579.0492189359-10410.9483650440.0182141623984624
75619916618043.23475022618639.22322180041872.765249774030.298901384714314
76625809609704.9340144812421.9366655927216104.0659855191-2.35626994949315
77619567599341.586827783-5275.8805704850720225.4131722171-1.11829823410488
78572942598022.110700666-2892.61706775028-25080.11070066640.345780936833018
79572775588616.731237944-6812.50655006665-15841.7312379443-0.56833018288759
80574205574511.016162885-11198.2838715911-306.01616288509-0.636049284385373
81579799573371.992630586-5150.82037953316427.007369413610.877554807462461
82590072577194.364274581244.74048071569912877.63572541890.783369078301323
83593408582281.4208634173157.9641360537711126.57913658320.423091809766574
84597141600500.85730198912224.4186934279-3359.857301989321.31638153214866
85595404613456.59657570312664.5453738403-18052.59657570250.063846595313492
86612117624227.38181391411526.4296813519-12110.3818139141-0.16501156709937
87628232621525.8141025112986.824637478166706.18589748926-1.2390261494607
88628884612235.619835932-4383.6193760673716648.3801640678-1.07059912508759
89620735602785.263913024-7429.1699871142517949.736086976-0.442389322274379
90569028591840.186088546-9543.6267471656-22812.1860885461-0.306834821148238
91567456580578.317606708-10576.288546891-13122.3176067082-0.149742960738444
92573100574625.708609834-7800.07116942926-1525.70860983390.402614448778722
93584428577330.659065006-1495.234941282337097.340934994010.914885277528916
94589379578424.17736305458.778805062764410954.82263694590.225632387290572
95590865583920.2140977443324.766417780596944.785902256020.474307628674391
96595454597280.8616637979356.18646543414-1826.861663796790.87558847928343
97594167611144.39335402512064.2543745239-16977.39335402480.392821575755822
98611324619879.5956415110066.5118731159-8555.59564151033-0.289679447483914
99612613608345.523570279-2882.489325141974267.47642972083-1.8788440472084
100610763594454.801074817-9482.9607067819116308.1989251832-0.95859058305769
101593530576211.816635911-14740.743712334417318.1833640893-0.763649427565454
102542722563445.758416018-13554.9442194793-20723.75841601810.172090230769568
103536662550974.721079101-12904.4072756125-14312.72107910070.0943428693780658
104543599545668.344096192-8348.46795813681-2069.344096191980.660724511029069
105555332546261.46713095-2989.630954850879070.532869049930.777601891883573
106560854550399.8884299621283.1450434790310454.11157003760.620377782501501
107562325558231.1079564975210.799769001594093.892043502740.570371500182374
108554788560726.5707675823581.30512039276-5938.57076758221-0.2365337239552
109547344563460.023176223072.65797101884-16116.02317622-0.0737814521636901
110565464566612.7326506483120.63280985373-1148.732650647580.00695713816445566
111577992569554.6669280123013.62953374978437.33307198839-0.0155259877587217
112579714562994.055496098-2720.3222154139116719.9445039025-0.832641940291444
113569323553512.840235083-6772.8380397055215810.1597649167-0.588536380438725
114506971531942.694332145-15646.5330431728-24971.6943321449-1.28785658666972
115500857516665.434319409-15425.1849018794-15808.43431940950.0321034383915536
116509127511292.320855556-9405.10037207832-2165.320855556180.873091628240906
117509933503629.612595866-8362.152255322176303.387404134290.151337135153299
118517009505491.775141359-2241.0894624895211517.22485864080.888713675851302
119519164512010.4806570013006.500694400487153.519342999190.762008898616363
120512238517842.902316014700.12253730001-5604.902316010430.245827314702373
121509239525399.0028646776411.2428540411-16160.00286467740.248208207935802



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')