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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 computationMon, 27 Dec 2010 14:55:49 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/27/t1293461667f56kjsazrjdrk91.htm/, Retrieved Mon, 06 May 2024 19:48:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116017, Retrieved Mon, 06 May 2024 19:48:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [STSM- OPJV] [2010-12-27 14:55:49] [63a115f47699ab31b1a302b9539c58a2] [Current]
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Dataseries X:
20503
22885
26217
26583
27751
28158
27373
28367
26851
26733
26849
26733
27951
29781
32914
33488
35652
36488
35387
35676
34844
32447
31068
29010
29812
30951
32974
32936
34012
32946
31948
30599
27691
25073
23406
22248
22896
25317
26558
26471
27543
26198
24725
25005
23462
20780
19815
19761
21454
23899
24939
23580
24562
24696
23785
23812
21917
19713
19282
18788
21453
24482
27474
27264
27349
30632
29429
30084
26290
24379
23335
21346
21106
24514
28353
30805
31348
34556
33855
34787
32529
29998
29257
28155
30466
35704
39327
39351
42234
43630
43722
43121
37985
37135
34646
33026
35087
38846
42013
43908
42868
44423
44167
43636
44382
42142
43452
36912
42413
45344
44873
47510
49554
47369
45998
48140
48441
44928
40454
38661
37246
36843
36424
37594
38144
38737
34560
36080
33508
35462
33374
32110
35533
35532
37903
36763
40399
44164
44496
43110
43880
43930
44327




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116017&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116017&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116017&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 time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
12050320503000
22288522755.7106018070123.370163497408129.2893981929710.699859938524715
32621726034.1579283185139.873415173678182.842071681451.63373762337835
42658326453.3297469248140.955390357216129.6702530752020.144607167104501
52775127592.8378934003145.007923908385158.1621065996910.516995150094647
62815828012.7450308873146.121851149791145.2549691126870.142326501383926
72737327245.1853116555142.435128542049127.814688344515-0.473046358384757
82836728204.949641262145.719762540397162.0503587379840.423157861516766
92685126739.1367350623139.269349498644111.863264937723-0.834336225113224
102673326591.2024067877138.124354517211141.797593212318-0.148692340818115
112684926709.8376606070138.046965839639139.162339393050-0.010089904209545
122673326599.4519517215137.064373828105133.548048278496-0.128617666936945
132795128571.436468485259.9095780052765-620.4364684852351.14337330218970
142978129722.960878083185.803633717848558.03912191688840.482967772768117
153291432703.313482723795.781935268125210.686517276281.49685127751953
163348833424.876703368696.85655852678463.12329663135420.323658502049087
173565235497.4550139661100.634707200520154.5449860338631.02183815990605
183648836366.9550266923102.125811395499121.0449733077460.397654829610959
193538735358.869742455799.9779743091628.1302575443211-0.574197066960397
203567635525.799699225100.107221116341150.2003007749920.0346272546975626
213484434792.515491195398.50179160479651.484508804732-0.431025256408253
223244732411.354151608993.723138294210135.6458483911326-1.28247037920867
233106830982.473567812490.662682799325485.5264321875637-0.787554106114009
242901028995.057352451187.700830022771714.9426475489099-1.07439256044340
252981230401.441116184562.7141134344012-589.4411161844840.746504185445936
263095130971.974298487170.205316935071-20.97429848706570.240177723116219
273297432727.223205592275.5087533429695246.7767944078360.870710240036243
283293632957.076043197575.6852427290943-21.07604319751640.0798059308776568
293401233880.849614291376.774915898542131.1503857087190.438498913978682
303294632873.949183734175.32152722325772.0508162658557-0.560306877728566
313194831980.534297460374.022436210909-32.5342974602714-0.500878670846998
323059930521.80235820171.971867925839377.1976417990226-0.792499623149191
332769127708.825827465568.1196297753673-17.8258274655428-1.49163924559909
342507325108.342648627064.5114528012522-35.3426486269561-1.37980218924384
352340623321.304215580261.786288488499684.6957844197656-0.95748258724467
362224822300.998672920861.3009201756477-52.9986729207916-0.559202667751186
372289623309.181623395350.1629803550437-413.1816233953430.51798579797272
382531725330.378019109270.6955946921059-13.37801910924360.959949006861964
392655826296.458766187673.4553762287909261.541233812370.46232445893743
402647126544.483303148373.6199899635388-73.48330314825340.0902549310526374
412754327354.324847711174.3459113873509188.6751522889280.380609344178547
422619826180.833044786473.014910700188917.1669552136448-0.645099132799864
432472524788.215023566571.4405806456747-63.2150235664904-0.7576944421123
442500524829.292427641271.4080738380939175.707572358779-0.0156969666233261
452346223464.2118630269.8711225389888-2.21186301998513-0.742626659876032
462078020859.218828308666.9070008704073-79.2188283086172-1.38288711381771
471981519691.204013268865.4126703769228123.795986731155-0.638543980139227
481976119810.635425628165.4065397009827-49.63542562807920.0279126256069340
492145421834.237892259849.3731001146263-380.2378922598321.05220576453542
502389923879.726076942865.034264601338819.27392305717490.988449956891296
512493924680.637433025967.2774177208915258.3625669741370.379688645586868
522358023778.148981462166.4123013216717-198.148981462133-0.501369013862195
532456224303.049919678266.7862841870427258.9500803218150.237012212854014
542469624613.972996008867.008156232016582.0270039911930.126202992748952
552378523919.421246611366.3020855319671-134.421246611260-0.393677712616824
562381223618.131475988165.9623995899724193.868524011931-0.190021317655576
572191721905.407296839564.311559996183411.5927031604687-0.919470007982382
581971319823.393109308362.1945443441787-110.393109308316-1.10958685140625
591928219142.221811766561.4294036805772139.778188233473-0.384343082343225
601878818909.736705294361.5667166729017-121.736705294328-0.151883267790543
612145321729.476703405944.9326269780021-276.4767034058591.46586028905602
622448224404.746505292661.102737604300477.25349470740021.31641378522984
632747427054.923927177168.8624717378877419.0760728229111.33501566955671
642726427505.663915626469.2099891416647-241.6639156264190.197429188578787
652734927148.223594428168.9056933134315200.776405571882-0.220546014484366
663063230331.842091439071.4109195894033300.1579085609511.61003472945438
672942929654.458265038870.7860826155018-225.45826503882-0.38706095905868
683008429814.359515594170.8604361134275269.6404844058750.0460646885019837
692629026377.436123294667.8923312675595-87.4361232946096-1.81323668675524
702437924501.238566675566.1102964731839-122.238566675452-1.00502145489244
712333523177.351664114464.8899263166423157.648335885565-0.718610948326894
722134621648.283765125265.9875661710296-302.283765125199-0.823832162446921
732110621631.634144236566.3668025003921-525.634144236459-0.043597591551458
742451424432.831471179679.91062498451281.16852882036681.3786785752787
752835327762.534548293289.4032908802373590.4654517068161.6748140909146
763080530840.105121296192.2665264387754-35.10512129610751.54485596099564
773134831333.477998052992.528452491609114.52200194709290.207338349369361
783455634063.274309244494.4507666470197492.7256907555531.36319953354693
793385534146.461713052494.4420990748682-291.46171305245-0.00582198237302933
803478734332.080187863994.5127960060396454.919812136070.0471287187945739
813252932618.201040859393.071870427789-89.201040859288-0.934772155094169
822999830161.401236864190.8560374844457-163.401236864123-1.31818285276112
832925729005.455399206789.930571574535251.544600793338-0.644523336446238
842815528448.725845745690.4603424161923-293.725845745572-0.334289661668408
853046631032.641658478581.5715901270925-566.6416584784831.30875391629959
863570435569.205102888799.7309087540312134.7948971112872.25748324518845
873932738748.5898836791108.428099446795578.41011632091.58648758574484
883935139392.0680198832108.971845260950-41.06801988322790.27660956264602
894223442204.9107775728110.65124148364729.08922242720301.39766767889326
904363043119.1033262394111.191200807608510.8966737605780.415341890078884
914372244005.1305928614111.749314893189-283.1305928614090.400500267119598
924312142683.2275447244110.696087424125437.772455275614-0.741034181559199
933798538201.5879845157107.178921280909-216.587984515707-2.37379520988693
943713537200.8425506302106.259765622665-65.8425506301935-0.572752042766713
953464634441.1276719898104.484193418634204.872328010226-1.48141021059758
963302633456.0013051418105.449911343061-430.001305141765-0.563375114540548
973508735819.081726201899.1115745314163-732.0817262018441.18058152283011
983884638735.8462935224108.735487566929110.1537064776491.43321246632269
994201341317.3399601055115.444186962764695.660039894511.27347974750002
1004390843971.0585627057118.168781341970-63.05856270569491.31217911486295
1014286843003.2999670125117.507960693440-135.299967012529-0.561331723658396
1024442343936.2078002634118.020339787275486.7921997366280.421466820385226
1034416744391.3370743132118.249903527087-224.3370743131620.174243332198469
1044363643045.383780085117.217249799191590.616219914975-0.756815172204146
1054438244447.6268821853118.174701502815-65.6268821852590.664233623735741
1064214242183.4471441669116.286882460825-41.4471441668706-1.23157477683542
1074345243058.9324800434116.673978728513393.0675199565870.39239485008743
1083691237815.5942507252121.546495817310-903.594250725169-2.77177073057033
1094241342951.8376637935110.353847472857-538.8376637935282.61513682721013
1104534445279.3497897512116.79944446462064.65021024884171.13097192548896
1114487344445.0402500042114.332114911795427.959749995831-0.489735299451414
1124751047323.8852320025117.440020164825186.1147679974691.42904946996624
1134955449627.6410045462118.771465124012-73.64100454616991.13014469096053
1144736947123.4914789805117.210238298574245.508521019485-1.35573616694278
1154599846190.7557045978116.529128278322-192.755704597789-0.542685119415649
1164814047544.8563287926117.374545080430595.1436712073920.639668755414994
1174844148337.4549004029117.867030260129103.5450995971170.349026054927942
1184492845251.6577711944115.447997543297-323.65777119444-1.65613979114611
1194045440010.5783140778113.232645691547443.421685922171-2.76835171561795
1203866139790.3261406604113.533244965375-1129.32614066040-0.172470690354044
1213724638034.2515068492116.871607858351-788.251506849173-0.972976165469219
1223684336747.9955242644113.35048209767495.0044757356366-0.717283552282061
1233642436190.8860790286111.692830764442233.113920971385-0.345192761144028
1243759437473.6455670092113.058677385300120.3544329908260.605310374247942
1253814438035.8154356364113.336212236926108.1845643635580.232154879223718
1263873738416.6934315364113.488874640349320.3065684635850.138286652012550
1273456035097.4255229384111.353799492565-537.425522938364-1.77427421036908
1283608035527.5686417065111.565988468768552.4313582934750.164773255236116
1293350833392.0457016653109.957797992629115.954298334703-1.16153382618737
1303546235320.4160969842111.261784702376141.5839030158340.940016778131333
1313337433098.5591693616110.490798317637275.440830638398-1.20573081522928
1323211033112.600884581110.575031541440-1002.60088458098-0.0498847521097657
1333553335980.5040388169106.621282143884-447.5040388168531.43269886493795
1343553235438.1440390498105.19720748664193.8559609501593-0.332316218213645
1353790337614.7667745226110.068009486729288.2332254774311.06646093578365
1363676336781.6620528752108.937025978198-18.6620528751583-0.487473696664362
1374039940113.1335025254110.974313102746285.866497474611.66580383924178
1384416443447.5089336765112.757146928704716.49106632351.66610648226296
1394449645009.4675944155113.626436218636-513.4675944154480.749039427203521
1404311042624.9319866186112.000085841274485.068013381391-1.29122833906688
1414388043800.4670042123112.74697338152179.53299578774810.549749737095814
1424393043645.1194403859112.565009668058284.880559614088-0.138586893537189
1434432744008.9852255906112.630298600359318.0147744093950.129863915151465

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 20503 & 20503 & 0 & 0 & 0 \tabularnewline
2 & 22885 & 22755.7106018070 & 123.370163497408 & 129.289398192971 & 0.699859938524715 \tabularnewline
3 & 26217 & 26034.1579283185 & 139.873415173678 & 182.84207168145 & 1.63373762337835 \tabularnewline
4 & 26583 & 26453.3297469248 & 140.955390357216 & 129.670253075202 & 0.144607167104501 \tabularnewline
5 & 27751 & 27592.8378934003 & 145.007923908385 & 158.162106599691 & 0.516995150094647 \tabularnewline
6 & 28158 & 28012.7450308873 & 146.121851149791 & 145.254969112687 & 0.142326501383926 \tabularnewline
7 & 27373 & 27245.1853116555 & 142.435128542049 & 127.814688344515 & -0.473046358384757 \tabularnewline
8 & 28367 & 28204.949641262 & 145.719762540397 & 162.050358737984 & 0.423157861516766 \tabularnewline
9 & 26851 & 26739.1367350623 & 139.269349498644 & 111.863264937723 & -0.834336225113224 \tabularnewline
10 & 26733 & 26591.2024067877 & 138.124354517211 & 141.797593212318 & -0.148692340818115 \tabularnewline
11 & 26849 & 26709.8376606070 & 138.046965839639 & 139.162339393050 & -0.010089904209545 \tabularnewline
12 & 26733 & 26599.4519517215 & 137.064373828105 & 133.548048278496 & -0.128617666936945 \tabularnewline
13 & 27951 & 28571.4364684852 & 59.9095780052765 & -620.436468485235 & 1.14337330218970 \tabularnewline
14 & 29781 & 29722.9608780831 & 85.8036337178485 & 58.0391219168884 & 0.482967772768117 \tabularnewline
15 & 32914 & 32703.3134827237 & 95.781935268125 & 210.68651727628 & 1.49685127751953 \tabularnewline
16 & 33488 & 33424.8767033686 & 96.856558526784 & 63.1232966313542 & 0.323658502049087 \tabularnewline
17 & 35652 & 35497.4550139661 & 100.634707200520 & 154.544986033863 & 1.02183815990605 \tabularnewline
18 & 36488 & 36366.9550266923 & 102.125811395499 & 121.044973307746 & 0.397654829610959 \tabularnewline
19 & 35387 & 35358.8697424557 & 99.97797430916 & 28.1302575443211 & -0.574197066960397 \tabularnewline
20 & 35676 & 35525.799699225 & 100.107221116341 & 150.200300774992 & 0.0346272546975626 \tabularnewline
21 & 34844 & 34792.5154911953 & 98.501791604796 & 51.484508804732 & -0.431025256408253 \tabularnewline
22 & 32447 & 32411.3541516089 & 93.7231382942101 & 35.6458483911326 & -1.28247037920867 \tabularnewline
23 & 31068 & 30982.4735678124 & 90.6626827993254 & 85.5264321875637 & -0.787554106114009 \tabularnewline
24 & 29010 & 28995.0573524511 & 87.7008300227717 & 14.9426475489099 & -1.07439256044340 \tabularnewline
25 & 29812 & 30401.4411161845 & 62.7141134344012 & -589.441116184484 & 0.746504185445936 \tabularnewline
26 & 30951 & 30971.9742984871 & 70.205316935071 & -20.9742984870657 & 0.240177723116219 \tabularnewline
27 & 32974 & 32727.2232055922 & 75.5087533429695 & 246.776794407836 & 0.870710240036243 \tabularnewline
28 & 32936 & 32957.0760431975 & 75.6852427290943 & -21.0760431975164 & 0.0798059308776568 \tabularnewline
29 & 34012 & 33880.8496142913 & 76.774915898542 & 131.150385708719 & 0.438498913978682 \tabularnewline
30 & 32946 & 32873.9491837341 & 75.321527223257 & 72.0508162658557 & -0.560306877728566 \tabularnewline
31 & 31948 & 31980.5342974603 & 74.022436210909 & -32.5342974602714 & -0.500878670846998 \tabularnewline
32 & 30599 & 30521.802358201 & 71.9718679258393 & 77.1976417990226 & -0.792499623149191 \tabularnewline
33 & 27691 & 27708.8258274655 & 68.1196297753673 & -17.8258274655428 & -1.49163924559909 \tabularnewline
34 & 25073 & 25108.3426486270 & 64.5114528012522 & -35.3426486269561 & -1.37980218924384 \tabularnewline
35 & 23406 & 23321.3042155802 & 61.7862884884996 & 84.6957844197656 & -0.95748258724467 \tabularnewline
36 & 22248 & 22300.9986729208 & 61.3009201756477 & -52.9986729207916 & -0.559202667751186 \tabularnewline
37 & 22896 & 23309.1816233953 & 50.1629803550437 & -413.181623395343 & 0.51798579797272 \tabularnewline
38 & 25317 & 25330.3780191092 & 70.6955946921059 & -13.3780191092436 & 0.959949006861964 \tabularnewline
39 & 26558 & 26296.4587661876 & 73.4553762287909 & 261.54123381237 & 0.46232445893743 \tabularnewline
40 & 26471 & 26544.4833031483 & 73.6199899635388 & -73.4833031482534 & 0.0902549310526374 \tabularnewline
41 & 27543 & 27354.3248477111 & 74.3459113873509 & 188.675152288928 & 0.380609344178547 \tabularnewline
42 & 26198 & 26180.8330447864 & 73.0149107001889 & 17.1669552136448 & -0.645099132799864 \tabularnewline
43 & 24725 & 24788.2150235665 & 71.4405806456747 & -63.2150235664904 & -0.7576944421123 \tabularnewline
44 & 25005 & 24829.2924276412 & 71.4080738380939 & 175.707572358779 & -0.0156969666233261 \tabularnewline
45 & 23462 & 23464.21186302 & 69.8711225389888 & -2.21186301998513 & -0.742626659876032 \tabularnewline
46 & 20780 & 20859.2188283086 & 66.9070008704073 & -79.2188283086172 & -1.38288711381771 \tabularnewline
47 & 19815 & 19691.2040132688 & 65.4126703769228 & 123.795986731155 & -0.638543980139227 \tabularnewline
48 & 19761 & 19810.6354256281 & 65.4065397009827 & -49.6354256280792 & 0.0279126256069340 \tabularnewline
49 & 21454 & 21834.2378922598 & 49.3731001146263 & -380.237892259832 & 1.05220576453542 \tabularnewline
50 & 23899 & 23879.7260769428 & 65.0342646013388 & 19.2739230571749 & 0.988449956891296 \tabularnewline
51 & 24939 & 24680.6374330259 & 67.2774177208915 & 258.362566974137 & 0.379688645586868 \tabularnewline
52 & 23580 & 23778.1489814621 & 66.4123013216717 & -198.148981462133 & -0.501369013862195 \tabularnewline
53 & 24562 & 24303.0499196782 & 66.7862841870427 & 258.950080321815 & 0.237012212854014 \tabularnewline
54 & 24696 & 24613.9729960088 & 67.0081562320165 & 82.027003991193 & 0.126202992748952 \tabularnewline
55 & 23785 & 23919.4212466113 & 66.3020855319671 & -134.421246611260 & -0.393677712616824 \tabularnewline
56 & 23812 & 23618.1314759881 & 65.9623995899724 & 193.868524011931 & -0.190021317655576 \tabularnewline
57 & 21917 & 21905.4072968395 & 64.3115599961834 & 11.5927031604687 & -0.919470007982382 \tabularnewline
58 & 19713 & 19823.3931093083 & 62.1945443441787 & -110.393109308316 & -1.10958685140625 \tabularnewline
59 & 19282 & 19142.2218117665 & 61.4294036805772 & 139.778188233473 & -0.384343082343225 \tabularnewline
60 & 18788 & 18909.7367052943 & 61.5667166729017 & -121.736705294328 & -0.151883267790543 \tabularnewline
61 & 21453 & 21729.4767034059 & 44.9326269780021 & -276.476703405859 & 1.46586028905602 \tabularnewline
62 & 24482 & 24404.7465052926 & 61.1027376043004 & 77.2534947074002 & 1.31641378522984 \tabularnewline
63 & 27474 & 27054.9239271771 & 68.8624717378877 & 419.076072822911 & 1.33501566955671 \tabularnewline
64 & 27264 & 27505.6639156264 & 69.2099891416647 & -241.663915626419 & 0.197429188578787 \tabularnewline
65 & 27349 & 27148.2235944281 & 68.9056933134315 & 200.776405571882 & -0.220546014484366 \tabularnewline
66 & 30632 & 30331.8420914390 & 71.4109195894033 & 300.157908560951 & 1.61003472945438 \tabularnewline
67 & 29429 & 29654.4582650388 & 70.7860826155018 & -225.45826503882 & -0.38706095905868 \tabularnewline
68 & 30084 & 29814.3595155941 & 70.8604361134275 & 269.640484405875 & 0.0460646885019837 \tabularnewline
69 & 26290 & 26377.4361232946 & 67.8923312675595 & -87.4361232946096 & -1.81323668675524 \tabularnewline
70 & 24379 & 24501.2385666755 & 66.1102964731839 & -122.238566675452 & -1.00502145489244 \tabularnewline
71 & 23335 & 23177.3516641144 & 64.8899263166423 & 157.648335885565 & -0.718610948326894 \tabularnewline
72 & 21346 & 21648.2837651252 & 65.9875661710296 & -302.283765125199 & -0.823832162446921 \tabularnewline
73 & 21106 & 21631.6341442365 & 66.3668025003921 & -525.634144236459 & -0.043597591551458 \tabularnewline
74 & 24514 & 24432.8314711796 & 79.910624984512 & 81.1685288203668 & 1.3786785752787 \tabularnewline
75 & 28353 & 27762.5345482932 & 89.4032908802373 & 590.465451706816 & 1.6748140909146 \tabularnewline
76 & 30805 & 30840.1051212961 & 92.2665264387754 & -35.1051212961075 & 1.54485596099564 \tabularnewline
77 & 31348 & 31333.4779980529 & 92.5284524916091 & 14.5220019470929 & 0.207338349369361 \tabularnewline
78 & 34556 & 34063.2743092444 & 94.4507666470197 & 492.725690755553 & 1.36319953354693 \tabularnewline
79 & 33855 & 34146.4617130524 & 94.4420990748682 & -291.46171305245 & -0.00582198237302933 \tabularnewline
80 & 34787 & 34332.0801878639 & 94.5127960060396 & 454.91981213607 & 0.0471287187945739 \tabularnewline
81 & 32529 & 32618.2010408593 & 93.071870427789 & -89.201040859288 & -0.934772155094169 \tabularnewline
82 & 29998 & 30161.4012368641 & 90.8560374844457 & -163.401236864123 & -1.31818285276112 \tabularnewline
83 & 29257 & 29005.4553992067 & 89.930571574535 & 251.544600793338 & -0.644523336446238 \tabularnewline
84 & 28155 & 28448.7258457456 & 90.4603424161923 & -293.725845745572 & -0.334289661668408 \tabularnewline
85 & 30466 & 31032.6416584785 & 81.5715901270925 & -566.641658478483 & 1.30875391629959 \tabularnewline
86 & 35704 & 35569.2051028887 & 99.7309087540312 & 134.794897111287 & 2.25748324518845 \tabularnewline
87 & 39327 & 38748.5898836791 & 108.428099446795 & 578.4101163209 & 1.58648758574484 \tabularnewline
88 & 39351 & 39392.0680198832 & 108.971845260950 & -41.0680198832279 & 0.27660956264602 \tabularnewline
89 & 42234 & 42204.9107775728 & 110.651241483647 & 29.0892224272030 & 1.39766767889326 \tabularnewline
90 & 43630 & 43119.1033262394 & 111.191200807608 & 510.896673760578 & 0.415341890078884 \tabularnewline
91 & 43722 & 44005.1305928614 & 111.749314893189 & -283.130592861409 & 0.400500267119598 \tabularnewline
92 & 43121 & 42683.2275447244 & 110.696087424125 & 437.772455275614 & -0.741034181559199 \tabularnewline
93 & 37985 & 38201.5879845157 & 107.178921280909 & -216.587984515707 & -2.37379520988693 \tabularnewline
94 & 37135 & 37200.8425506302 & 106.259765622665 & -65.8425506301935 & -0.572752042766713 \tabularnewline
95 & 34646 & 34441.1276719898 & 104.484193418634 & 204.872328010226 & -1.48141021059758 \tabularnewline
96 & 33026 & 33456.0013051418 & 105.449911343061 & -430.001305141765 & -0.563375114540548 \tabularnewline
97 & 35087 & 35819.0817262018 & 99.1115745314163 & -732.081726201844 & 1.18058152283011 \tabularnewline
98 & 38846 & 38735.8462935224 & 108.735487566929 & 110.153706477649 & 1.43321246632269 \tabularnewline
99 & 42013 & 41317.3399601055 & 115.444186962764 & 695.66003989451 & 1.27347974750002 \tabularnewline
100 & 43908 & 43971.0585627057 & 118.168781341970 & -63.0585627056949 & 1.31217911486295 \tabularnewline
101 & 42868 & 43003.2999670125 & 117.507960693440 & -135.299967012529 & -0.561331723658396 \tabularnewline
102 & 44423 & 43936.2078002634 & 118.020339787275 & 486.792199736628 & 0.421466820385226 \tabularnewline
103 & 44167 & 44391.3370743132 & 118.249903527087 & -224.337074313162 & 0.174243332198469 \tabularnewline
104 & 43636 & 43045.383780085 & 117.217249799191 & 590.616219914975 & -0.756815172204146 \tabularnewline
105 & 44382 & 44447.6268821853 & 118.174701502815 & -65.626882185259 & 0.664233623735741 \tabularnewline
106 & 42142 & 42183.4471441669 & 116.286882460825 & -41.4471441668706 & -1.23157477683542 \tabularnewline
107 & 43452 & 43058.9324800434 & 116.673978728513 & 393.067519956587 & 0.39239485008743 \tabularnewline
108 & 36912 & 37815.5942507252 & 121.546495817310 & -903.594250725169 & -2.77177073057033 \tabularnewline
109 & 42413 & 42951.8376637935 & 110.353847472857 & -538.837663793528 & 2.61513682721013 \tabularnewline
110 & 45344 & 45279.3497897512 & 116.799444464620 & 64.6502102488417 & 1.13097192548896 \tabularnewline
111 & 44873 & 44445.0402500042 & 114.332114911795 & 427.959749995831 & -0.489735299451414 \tabularnewline
112 & 47510 & 47323.8852320025 & 117.440020164825 & 186.114767997469 & 1.42904946996624 \tabularnewline
113 & 49554 & 49627.6410045462 & 118.771465124012 & -73.6410045461699 & 1.13014469096053 \tabularnewline
114 & 47369 & 47123.4914789805 & 117.210238298574 & 245.508521019485 & -1.35573616694278 \tabularnewline
115 & 45998 & 46190.7557045978 & 116.529128278322 & -192.755704597789 & -0.542685119415649 \tabularnewline
116 & 48140 & 47544.8563287926 & 117.374545080430 & 595.143671207392 & 0.639668755414994 \tabularnewline
117 & 48441 & 48337.4549004029 & 117.867030260129 & 103.545099597117 & 0.349026054927942 \tabularnewline
118 & 44928 & 45251.6577711944 & 115.447997543297 & -323.65777119444 & -1.65613979114611 \tabularnewline
119 & 40454 & 40010.5783140778 & 113.232645691547 & 443.421685922171 & -2.76835171561795 \tabularnewline
120 & 38661 & 39790.3261406604 & 113.533244965375 & -1129.32614066040 & -0.172470690354044 \tabularnewline
121 & 37246 & 38034.2515068492 & 116.871607858351 & -788.251506849173 & -0.972976165469219 \tabularnewline
122 & 36843 & 36747.9955242644 & 113.350482097674 & 95.0044757356366 & -0.717283552282061 \tabularnewline
123 & 36424 & 36190.8860790286 & 111.692830764442 & 233.113920971385 & -0.345192761144028 \tabularnewline
124 & 37594 & 37473.6455670092 & 113.058677385300 & 120.354432990826 & 0.605310374247942 \tabularnewline
125 & 38144 & 38035.8154356364 & 113.336212236926 & 108.184564363558 & 0.232154879223718 \tabularnewline
126 & 38737 & 38416.6934315364 & 113.488874640349 & 320.306568463585 & 0.138286652012550 \tabularnewline
127 & 34560 & 35097.4255229384 & 111.353799492565 & -537.425522938364 & -1.77427421036908 \tabularnewline
128 & 36080 & 35527.5686417065 & 111.565988468768 & 552.431358293475 & 0.164773255236116 \tabularnewline
129 & 33508 & 33392.0457016653 & 109.957797992629 & 115.954298334703 & -1.16153382618737 \tabularnewline
130 & 35462 & 35320.4160969842 & 111.261784702376 & 141.583903015834 & 0.940016778131333 \tabularnewline
131 & 33374 & 33098.5591693616 & 110.490798317637 & 275.440830638398 & -1.20573081522928 \tabularnewline
132 & 32110 & 33112.600884581 & 110.575031541440 & -1002.60088458098 & -0.0498847521097657 \tabularnewline
133 & 35533 & 35980.5040388169 & 106.621282143884 & -447.504038816853 & 1.43269886493795 \tabularnewline
134 & 35532 & 35438.1440390498 & 105.197207486641 & 93.8559609501593 & -0.332316218213645 \tabularnewline
135 & 37903 & 37614.7667745226 & 110.068009486729 & 288.233225477431 & 1.06646093578365 \tabularnewline
136 & 36763 & 36781.6620528752 & 108.937025978198 & -18.6620528751583 & -0.487473696664362 \tabularnewline
137 & 40399 & 40113.1335025254 & 110.974313102746 & 285.86649747461 & 1.66580383924178 \tabularnewline
138 & 44164 & 43447.5089336765 & 112.757146928704 & 716.4910663235 & 1.66610648226296 \tabularnewline
139 & 44496 & 45009.4675944155 & 113.626436218636 & -513.467594415448 & 0.749039427203521 \tabularnewline
140 & 43110 & 42624.9319866186 & 112.000085841274 & 485.068013381391 & -1.29122833906688 \tabularnewline
141 & 43880 & 43800.4670042123 & 112.746973381521 & 79.5329957877481 & 0.549749737095814 \tabularnewline
142 & 43930 & 43645.1194403859 & 112.565009668058 & 284.880559614088 & -0.138586893537189 \tabularnewline
143 & 44327 & 44008.9852255906 & 112.630298600359 & 318.014774409395 & 0.129863915151465 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116017&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]20503[/C][C]20503[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]22885[/C][C]22755.7106018070[/C][C]123.370163497408[/C][C]129.289398192971[/C][C]0.699859938524715[/C][/ROW]
[ROW][C]3[/C][C]26217[/C][C]26034.1579283185[/C][C]139.873415173678[/C][C]182.84207168145[/C][C]1.63373762337835[/C][/ROW]
[ROW][C]4[/C][C]26583[/C][C]26453.3297469248[/C][C]140.955390357216[/C][C]129.670253075202[/C][C]0.144607167104501[/C][/ROW]
[ROW][C]5[/C][C]27751[/C][C]27592.8378934003[/C][C]145.007923908385[/C][C]158.162106599691[/C][C]0.516995150094647[/C][/ROW]
[ROW][C]6[/C][C]28158[/C][C]28012.7450308873[/C][C]146.121851149791[/C][C]145.254969112687[/C][C]0.142326501383926[/C][/ROW]
[ROW][C]7[/C][C]27373[/C][C]27245.1853116555[/C][C]142.435128542049[/C][C]127.814688344515[/C][C]-0.473046358384757[/C][/ROW]
[ROW][C]8[/C][C]28367[/C][C]28204.949641262[/C][C]145.719762540397[/C][C]162.050358737984[/C][C]0.423157861516766[/C][/ROW]
[ROW][C]9[/C][C]26851[/C][C]26739.1367350623[/C][C]139.269349498644[/C][C]111.863264937723[/C][C]-0.834336225113224[/C][/ROW]
[ROW][C]10[/C][C]26733[/C][C]26591.2024067877[/C][C]138.124354517211[/C][C]141.797593212318[/C][C]-0.148692340818115[/C][/ROW]
[ROW][C]11[/C][C]26849[/C][C]26709.8376606070[/C][C]138.046965839639[/C][C]139.162339393050[/C][C]-0.010089904209545[/C][/ROW]
[ROW][C]12[/C][C]26733[/C][C]26599.4519517215[/C][C]137.064373828105[/C][C]133.548048278496[/C][C]-0.128617666936945[/C][/ROW]
[ROW][C]13[/C][C]27951[/C][C]28571.4364684852[/C][C]59.9095780052765[/C][C]-620.436468485235[/C][C]1.14337330218970[/C][/ROW]
[ROW][C]14[/C][C]29781[/C][C]29722.9608780831[/C][C]85.8036337178485[/C][C]58.0391219168884[/C][C]0.482967772768117[/C][/ROW]
[ROW][C]15[/C][C]32914[/C][C]32703.3134827237[/C][C]95.781935268125[/C][C]210.68651727628[/C][C]1.49685127751953[/C][/ROW]
[ROW][C]16[/C][C]33488[/C][C]33424.8767033686[/C][C]96.856558526784[/C][C]63.1232966313542[/C][C]0.323658502049087[/C][/ROW]
[ROW][C]17[/C][C]35652[/C][C]35497.4550139661[/C][C]100.634707200520[/C][C]154.544986033863[/C][C]1.02183815990605[/C][/ROW]
[ROW][C]18[/C][C]36488[/C][C]36366.9550266923[/C][C]102.125811395499[/C][C]121.044973307746[/C][C]0.397654829610959[/C][/ROW]
[ROW][C]19[/C][C]35387[/C][C]35358.8697424557[/C][C]99.97797430916[/C][C]28.1302575443211[/C][C]-0.574197066960397[/C][/ROW]
[ROW][C]20[/C][C]35676[/C][C]35525.799699225[/C][C]100.107221116341[/C][C]150.200300774992[/C][C]0.0346272546975626[/C][/ROW]
[ROW][C]21[/C][C]34844[/C][C]34792.5154911953[/C][C]98.501791604796[/C][C]51.484508804732[/C][C]-0.431025256408253[/C][/ROW]
[ROW][C]22[/C][C]32447[/C][C]32411.3541516089[/C][C]93.7231382942101[/C][C]35.6458483911326[/C][C]-1.28247037920867[/C][/ROW]
[ROW][C]23[/C][C]31068[/C][C]30982.4735678124[/C][C]90.6626827993254[/C][C]85.5264321875637[/C][C]-0.787554106114009[/C][/ROW]
[ROW][C]24[/C][C]29010[/C][C]28995.0573524511[/C][C]87.7008300227717[/C][C]14.9426475489099[/C][C]-1.07439256044340[/C][/ROW]
[ROW][C]25[/C][C]29812[/C][C]30401.4411161845[/C][C]62.7141134344012[/C][C]-589.441116184484[/C][C]0.746504185445936[/C][/ROW]
[ROW][C]26[/C][C]30951[/C][C]30971.9742984871[/C][C]70.205316935071[/C][C]-20.9742984870657[/C][C]0.240177723116219[/C][/ROW]
[ROW][C]27[/C][C]32974[/C][C]32727.2232055922[/C][C]75.5087533429695[/C][C]246.776794407836[/C][C]0.870710240036243[/C][/ROW]
[ROW][C]28[/C][C]32936[/C][C]32957.0760431975[/C][C]75.6852427290943[/C][C]-21.0760431975164[/C][C]0.0798059308776568[/C][/ROW]
[ROW][C]29[/C][C]34012[/C][C]33880.8496142913[/C][C]76.774915898542[/C][C]131.150385708719[/C][C]0.438498913978682[/C][/ROW]
[ROW][C]30[/C][C]32946[/C][C]32873.9491837341[/C][C]75.321527223257[/C][C]72.0508162658557[/C][C]-0.560306877728566[/C][/ROW]
[ROW][C]31[/C][C]31948[/C][C]31980.5342974603[/C][C]74.022436210909[/C][C]-32.5342974602714[/C][C]-0.500878670846998[/C][/ROW]
[ROW][C]32[/C][C]30599[/C][C]30521.802358201[/C][C]71.9718679258393[/C][C]77.1976417990226[/C][C]-0.792499623149191[/C][/ROW]
[ROW][C]33[/C][C]27691[/C][C]27708.8258274655[/C][C]68.1196297753673[/C][C]-17.8258274655428[/C][C]-1.49163924559909[/C][/ROW]
[ROW][C]34[/C][C]25073[/C][C]25108.3426486270[/C][C]64.5114528012522[/C][C]-35.3426486269561[/C][C]-1.37980218924384[/C][/ROW]
[ROW][C]35[/C][C]23406[/C][C]23321.3042155802[/C][C]61.7862884884996[/C][C]84.6957844197656[/C][C]-0.95748258724467[/C][/ROW]
[ROW][C]36[/C][C]22248[/C][C]22300.9986729208[/C][C]61.3009201756477[/C][C]-52.9986729207916[/C][C]-0.559202667751186[/C][/ROW]
[ROW][C]37[/C][C]22896[/C][C]23309.1816233953[/C][C]50.1629803550437[/C][C]-413.181623395343[/C][C]0.51798579797272[/C][/ROW]
[ROW][C]38[/C][C]25317[/C][C]25330.3780191092[/C][C]70.6955946921059[/C][C]-13.3780191092436[/C][C]0.959949006861964[/C][/ROW]
[ROW][C]39[/C][C]26558[/C][C]26296.4587661876[/C][C]73.4553762287909[/C][C]261.54123381237[/C][C]0.46232445893743[/C][/ROW]
[ROW][C]40[/C][C]26471[/C][C]26544.4833031483[/C][C]73.6199899635388[/C][C]-73.4833031482534[/C][C]0.0902549310526374[/C][/ROW]
[ROW][C]41[/C][C]27543[/C][C]27354.3248477111[/C][C]74.3459113873509[/C][C]188.675152288928[/C][C]0.380609344178547[/C][/ROW]
[ROW][C]42[/C][C]26198[/C][C]26180.8330447864[/C][C]73.0149107001889[/C][C]17.1669552136448[/C][C]-0.645099132799864[/C][/ROW]
[ROW][C]43[/C][C]24725[/C][C]24788.2150235665[/C][C]71.4405806456747[/C][C]-63.2150235664904[/C][C]-0.7576944421123[/C][/ROW]
[ROW][C]44[/C][C]25005[/C][C]24829.2924276412[/C][C]71.4080738380939[/C][C]175.707572358779[/C][C]-0.0156969666233261[/C][/ROW]
[ROW][C]45[/C][C]23462[/C][C]23464.21186302[/C][C]69.8711225389888[/C][C]-2.21186301998513[/C][C]-0.742626659876032[/C][/ROW]
[ROW][C]46[/C][C]20780[/C][C]20859.2188283086[/C][C]66.9070008704073[/C][C]-79.2188283086172[/C][C]-1.38288711381771[/C][/ROW]
[ROW][C]47[/C][C]19815[/C][C]19691.2040132688[/C][C]65.4126703769228[/C][C]123.795986731155[/C][C]-0.638543980139227[/C][/ROW]
[ROW][C]48[/C][C]19761[/C][C]19810.6354256281[/C][C]65.4065397009827[/C][C]-49.6354256280792[/C][C]0.0279126256069340[/C][/ROW]
[ROW][C]49[/C][C]21454[/C][C]21834.2378922598[/C][C]49.3731001146263[/C][C]-380.237892259832[/C][C]1.05220576453542[/C][/ROW]
[ROW][C]50[/C][C]23899[/C][C]23879.7260769428[/C][C]65.0342646013388[/C][C]19.2739230571749[/C][C]0.988449956891296[/C][/ROW]
[ROW][C]51[/C][C]24939[/C][C]24680.6374330259[/C][C]67.2774177208915[/C][C]258.362566974137[/C][C]0.379688645586868[/C][/ROW]
[ROW][C]52[/C][C]23580[/C][C]23778.1489814621[/C][C]66.4123013216717[/C][C]-198.148981462133[/C][C]-0.501369013862195[/C][/ROW]
[ROW][C]53[/C][C]24562[/C][C]24303.0499196782[/C][C]66.7862841870427[/C][C]258.950080321815[/C][C]0.237012212854014[/C][/ROW]
[ROW][C]54[/C][C]24696[/C][C]24613.9729960088[/C][C]67.0081562320165[/C][C]82.027003991193[/C][C]0.126202992748952[/C][/ROW]
[ROW][C]55[/C][C]23785[/C][C]23919.4212466113[/C][C]66.3020855319671[/C][C]-134.421246611260[/C][C]-0.393677712616824[/C][/ROW]
[ROW][C]56[/C][C]23812[/C][C]23618.1314759881[/C][C]65.9623995899724[/C][C]193.868524011931[/C][C]-0.190021317655576[/C][/ROW]
[ROW][C]57[/C][C]21917[/C][C]21905.4072968395[/C][C]64.3115599961834[/C][C]11.5927031604687[/C][C]-0.919470007982382[/C][/ROW]
[ROW][C]58[/C][C]19713[/C][C]19823.3931093083[/C][C]62.1945443441787[/C][C]-110.393109308316[/C][C]-1.10958685140625[/C][/ROW]
[ROW][C]59[/C][C]19282[/C][C]19142.2218117665[/C][C]61.4294036805772[/C][C]139.778188233473[/C][C]-0.384343082343225[/C][/ROW]
[ROW][C]60[/C][C]18788[/C][C]18909.7367052943[/C][C]61.5667166729017[/C][C]-121.736705294328[/C][C]-0.151883267790543[/C][/ROW]
[ROW][C]61[/C][C]21453[/C][C]21729.4767034059[/C][C]44.9326269780021[/C][C]-276.476703405859[/C][C]1.46586028905602[/C][/ROW]
[ROW][C]62[/C][C]24482[/C][C]24404.7465052926[/C][C]61.1027376043004[/C][C]77.2534947074002[/C][C]1.31641378522984[/C][/ROW]
[ROW][C]63[/C][C]27474[/C][C]27054.9239271771[/C][C]68.8624717378877[/C][C]419.076072822911[/C][C]1.33501566955671[/C][/ROW]
[ROW][C]64[/C][C]27264[/C][C]27505.6639156264[/C][C]69.2099891416647[/C][C]-241.663915626419[/C][C]0.197429188578787[/C][/ROW]
[ROW][C]65[/C][C]27349[/C][C]27148.2235944281[/C][C]68.9056933134315[/C][C]200.776405571882[/C][C]-0.220546014484366[/C][/ROW]
[ROW][C]66[/C][C]30632[/C][C]30331.8420914390[/C][C]71.4109195894033[/C][C]300.157908560951[/C][C]1.61003472945438[/C][/ROW]
[ROW][C]67[/C][C]29429[/C][C]29654.4582650388[/C][C]70.7860826155018[/C][C]-225.45826503882[/C][C]-0.38706095905868[/C][/ROW]
[ROW][C]68[/C][C]30084[/C][C]29814.3595155941[/C][C]70.8604361134275[/C][C]269.640484405875[/C][C]0.0460646885019837[/C][/ROW]
[ROW][C]69[/C][C]26290[/C][C]26377.4361232946[/C][C]67.8923312675595[/C][C]-87.4361232946096[/C][C]-1.81323668675524[/C][/ROW]
[ROW][C]70[/C][C]24379[/C][C]24501.2385666755[/C][C]66.1102964731839[/C][C]-122.238566675452[/C][C]-1.00502145489244[/C][/ROW]
[ROW][C]71[/C][C]23335[/C][C]23177.3516641144[/C][C]64.8899263166423[/C][C]157.648335885565[/C][C]-0.718610948326894[/C][/ROW]
[ROW][C]72[/C][C]21346[/C][C]21648.2837651252[/C][C]65.9875661710296[/C][C]-302.283765125199[/C][C]-0.823832162446921[/C][/ROW]
[ROW][C]73[/C][C]21106[/C][C]21631.6341442365[/C][C]66.3668025003921[/C][C]-525.634144236459[/C][C]-0.043597591551458[/C][/ROW]
[ROW][C]74[/C][C]24514[/C][C]24432.8314711796[/C][C]79.910624984512[/C][C]81.1685288203668[/C][C]1.3786785752787[/C][/ROW]
[ROW][C]75[/C][C]28353[/C][C]27762.5345482932[/C][C]89.4032908802373[/C][C]590.465451706816[/C][C]1.6748140909146[/C][/ROW]
[ROW][C]76[/C][C]30805[/C][C]30840.1051212961[/C][C]92.2665264387754[/C][C]-35.1051212961075[/C][C]1.54485596099564[/C][/ROW]
[ROW][C]77[/C][C]31348[/C][C]31333.4779980529[/C][C]92.5284524916091[/C][C]14.5220019470929[/C][C]0.207338349369361[/C][/ROW]
[ROW][C]78[/C][C]34556[/C][C]34063.2743092444[/C][C]94.4507666470197[/C][C]492.725690755553[/C][C]1.36319953354693[/C][/ROW]
[ROW][C]79[/C][C]33855[/C][C]34146.4617130524[/C][C]94.4420990748682[/C][C]-291.46171305245[/C][C]-0.00582198237302933[/C][/ROW]
[ROW][C]80[/C][C]34787[/C][C]34332.0801878639[/C][C]94.5127960060396[/C][C]454.91981213607[/C][C]0.0471287187945739[/C][/ROW]
[ROW][C]81[/C][C]32529[/C][C]32618.2010408593[/C][C]93.071870427789[/C][C]-89.201040859288[/C][C]-0.934772155094169[/C][/ROW]
[ROW][C]82[/C][C]29998[/C][C]30161.4012368641[/C][C]90.8560374844457[/C][C]-163.401236864123[/C][C]-1.31818285276112[/C][/ROW]
[ROW][C]83[/C][C]29257[/C][C]29005.4553992067[/C][C]89.930571574535[/C][C]251.544600793338[/C][C]-0.644523336446238[/C][/ROW]
[ROW][C]84[/C][C]28155[/C][C]28448.7258457456[/C][C]90.4603424161923[/C][C]-293.725845745572[/C][C]-0.334289661668408[/C][/ROW]
[ROW][C]85[/C][C]30466[/C][C]31032.6416584785[/C][C]81.5715901270925[/C][C]-566.641658478483[/C][C]1.30875391629959[/C][/ROW]
[ROW][C]86[/C][C]35704[/C][C]35569.2051028887[/C][C]99.7309087540312[/C][C]134.794897111287[/C][C]2.25748324518845[/C][/ROW]
[ROW][C]87[/C][C]39327[/C][C]38748.5898836791[/C][C]108.428099446795[/C][C]578.4101163209[/C][C]1.58648758574484[/C][/ROW]
[ROW][C]88[/C][C]39351[/C][C]39392.0680198832[/C][C]108.971845260950[/C][C]-41.0680198832279[/C][C]0.27660956264602[/C][/ROW]
[ROW][C]89[/C][C]42234[/C][C]42204.9107775728[/C][C]110.651241483647[/C][C]29.0892224272030[/C][C]1.39766767889326[/C][/ROW]
[ROW][C]90[/C][C]43630[/C][C]43119.1033262394[/C][C]111.191200807608[/C][C]510.896673760578[/C][C]0.415341890078884[/C][/ROW]
[ROW][C]91[/C][C]43722[/C][C]44005.1305928614[/C][C]111.749314893189[/C][C]-283.130592861409[/C][C]0.400500267119598[/C][/ROW]
[ROW][C]92[/C][C]43121[/C][C]42683.2275447244[/C][C]110.696087424125[/C][C]437.772455275614[/C][C]-0.741034181559199[/C][/ROW]
[ROW][C]93[/C][C]37985[/C][C]38201.5879845157[/C][C]107.178921280909[/C][C]-216.587984515707[/C][C]-2.37379520988693[/C][/ROW]
[ROW][C]94[/C][C]37135[/C][C]37200.8425506302[/C][C]106.259765622665[/C][C]-65.8425506301935[/C][C]-0.572752042766713[/C][/ROW]
[ROW][C]95[/C][C]34646[/C][C]34441.1276719898[/C][C]104.484193418634[/C][C]204.872328010226[/C][C]-1.48141021059758[/C][/ROW]
[ROW][C]96[/C][C]33026[/C][C]33456.0013051418[/C][C]105.449911343061[/C][C]-430.001305141765[/C][C]-0.563375114540548[/C][/ROW]
[ROW][C]97[/C][C]35087[/C][C]35819.0817262018[/C][C]99.1115745314163[/C][C]-732.081726201844[/C][C]1.18058152283011[/C][/ROW]
[ROW][C]98[/C][C]38846[/C][C]38735.8462935224[/C][C]108.735487566929[/C][C]110.153706477649[/C][C]1.43321246632269[/C][/ROW]
[ROW][C]99[/C][C]42013[/C][C]41317.3399601055[/C][C]115.444186962764[/C][C]695.66003989451[/C][C]1.27347974750002[/C][/ROW]
[ROW][C]100[/C][C]43908[/C][C]43971.0585627057[/C][C]118.168781341970[/C][C]-63.0585627056949[/C][C]1.31217911486295[/C][/ROW]
[ROW][C]101[/C][C]42868[/C][C]43003.2999670125[/C][C]117.507960693440[/C][C]-135.299967012529[/C][C]-0.561331723658396[/C][/ROW]
[ROW][C]102[/C][C]44423[/C][C]43936.2078002634[/C][C]118.020339787275[/C][C]486.792199736628[/C][C]0.421466820385226[/C][/ROW]
[ROW][C]103[/C][C]44167[/C][C]44391.3370743132[/C][C]118.249903527087[/C][C]-224.337074313162[/C][C]0.174243332198469[/C][/ROW]
[ROW][C]104[/C][C]43636[/C][C]43045.383780085[/C][C]117.217249799191[/C][C]590.616219914975[/C][C]-0.756815172204146[/C][/ROW]
[ROW][C]105[/C][C]44382[/C][C]44447.6268821853[/C][C]118.174701502815[/C][C]-65.626882185259[/C][C]0.664233623735741[/C][/ROW]
[ROW][C]106[/C][C]42142[/C][C]42183.4471441669[/C][C]116.286882460825[/C][C]-41.4471441668706[/C][C]-1.23157477683542[/C][/ROW]
[ROW][C]107[/C][C]43452[/C][C]43058.9324800434[/C][C]116.673978728513[/C][C]393.067519956587[/C][C]0.39239485008743[/C][/ROW]
[ROW][C]108[/C][C]36912[/C][C]37815.5942507252[/C][C]121.546495817310[/C][C]-903.594250725169[/C][C]-2.77177073057033[/C][/ROW]
[ROW][C]109[/C][C]42413[/C][C]42951.8376637935[/C][C]110.353847472857[/C][C]-538.837663793528[/C][C]2.61513682721013[/C][/ROW]
[ROW][C]110[/C][C]45344[/C][C]45279.3497897512[/C][C]116.799444464620[/C][C]64.6502102488417[/C][C]1.13097192548896[/C][/ROW]
[ROW][C]111[/C][C]44873[/C][C]44445.0402500042[/C][C]114.332114911795[/C][C]427.959749995831[/C][C]-0.489735299451414[/C][/ROW]
[ROW][C]112[/C][C]47510[/C][C]47323.8852320025[/C][C]117.440020164825[/C][C]186.114767997469[/C][C]1.42904946996624[/C][/ROW]
[ROW][C]113[/C][C]49554[/C][C]49627.6410045462[/C][C]118.771465124012[/C][C]-73.6410045461699[/C][C]1.13014469096053[/C][/ROW]
[ROW][C]114[/C][C]47369[/C][C]47123.4914789805[/C][C]117.210238298574[/C][C]245.508521019485[/C][C]-1.35573616694278[/C][/ROW]
[ROW][C]115[/C][C]45998[/C][C]46190.7557045978[/C][C]116.529128278322[/C][C]-192.755704597789[/C][C]-0.542685119415649[/C][/ROW]
[ROW][C]116[/C][C]48140[/C][C]47544.8563287926[/C][C]117.374545080430[/C][C]595.143671207392[/C][C]0.639668755414994[/C][/ROW]
[ROW][C]117[/C][C]48441[/C][C]48337.4549004029[/C][C]117.867030260129[/C][C]103.545099597117[/C][C]0.349026054927942[/C][/ROW]
[ROW][C]118[/C][C]44928[/C][C]45251.6577711944[/C][C]115.447997543297[/C][C]-323.65777119444[/C][C]-1.65613979114611[/C][/ROW]
[ROW][C]119[/C][C]40454[/C][C]40010.5783140778[/C][C]113.232645691547[/C][C]443.421685922171[/C][C]-2.76835171561795[/C][/ROW]
[ROW][C]120[/C][C]38661[/C][C]39790.3261406604[/C][C]113.533244965375[/C][C]-1129.32614066040[/C][C]-0.172470690354044[/C][/ROW]
[ROW][C]121[/C][C]37246[/C][C]38034.2515068492[/C][C]116.871607858351[/C][C]-788.251506849173[/C][C]-0.972976165469219[/C][/ROW]
[ROW][C]122[/C][C]36843[/C][C]36747.9955242644[/C][C]113.350482097674[/C][C]95.0044757356366[/C][C]-0.717283552282061[/C][/ROW]
[ROW][C]123[/C][C]36424[/C][C]36190.8860790286[/C][C]111.692830764442[/C][C]233.113920971385[/C][C]-0.345192761144028[/C][/ROW]
[ROW][C]124[/C][C]37594[/C][C]37473.6455670092[/C][C]113.058677385300[/C][C]120.354432990826[/C][C]0.605310374247942[/C][/ROW]
[ROW][C]125[/C][C]38144[/C][C]38035.8154356364[/C][C]113.336212236926[/C][C]108.184564363558[/C][C]0.232154879223718[/C][/ROW]
[ROW][C]126[/C][C]38737[/C][C]38416.6934315364[/C][C]113.488874640349[/C][C]320.306568463585[/C][C]0.138286652012550[/C][/ROW]
[ROW][C]127[/C][C]34560[/C][C]35097.4255229384[/C][C]111.353799492565[/C][C]-537.425522938364[/C][C]-1.77427421036908[/C][/ROW]
[ROW][C]128[/C][C]36080[/C][C]35527.5686417065[/C][C]111.565988468768[/C][C]552.431358293475[/C][C]0.164773255236116[/C][/ROW]
[ROW][C]129[/C][C]33508[/C][C]33392.0457016653[/C][C]109.957797992629[/C][C]115.954298334703[/C][C]-1.16153382618737[/C][/ROW]
[ROW][C]130[/C][C]35462[/C][C]35320.4160969842[/C][C]111.261784702376[/C][C]141.583903015834[/C][C]0.940016778131333[/C][/ROW]
[ROW][C]131[/C][C]33374[/C][C]33098.5591693616[/C][C]110.490798317637[/C][C]275.440830638398[/C][C]-1.20573081522928[/C][/ROW]
[ROW][C]132[/C][C]32110[/C][C]33112.600884581[/C][C]110.575031541440[/C][C]-1002.60088458098[/C][C]-0.0498847521097657[/C][/ROW]
[ROW][C]133[/C][C]35533[/C][C]35980.5040388169[/C][C]106.621282143884[/C][C]-447.504038816853[/C][C]1.43269886493795[/C][/ROW]
[ROW][C]134[/C][C]35532[/C][C]35438.1440390498[/C][C]105.197207486641[/C][C]93.8559609501593[/C][C]-0.332316218213645[/C][/ROW]
[ROW][C]135[/C][C]37903[/C][C]37614.7667745226[/C][C]110.068009486729[/C][C]288.233225477431[/C][C]1.06646093578365[/C][/ROW]
[ROW][C]136[/C][C]36763[/C][C]36781.6620528752[/C][C]108.937025978198[/C][C]-18.6620528751583[/C][C]-0.487473696664362[/C][/ROW]
[ROW][C]137[/C][C]40399[/C][C]40113.1335025254[/C][C]110.974313102746[/C][C]285.86649747461[/C][C]1.66580383924178[/C][/ROW]
[ROW][C]138[/C][C]44164[/C][C]43447.5089336765[/C][C]112.757146928704[/C][C]716.4910663235[/C][C]1.66610648226296[/C][/ROW]
[ROW][C]139[/C][C]44496[/C][C]45009.4675944155[/C][C]113.626436218636[/C][C]-513.467594415448[/C][C]0.749039427203521[/C][/ROW]
[ROW][C]140[/C][C]43110[/C][C]42624.9319866186[/C][C]112.000085841274[/C][C]485.068013381391[/C][C]-1.29122833906688[/C][/ROW]
[ROW][C]141[/C][C]43880[/C][C]43800.4670042123[/C][C]112.746973381521[/C][C]79.5329957877481[/C][C]0.549749737095814[/C][/ROW]
[ROW][C]142[/C][C]43930[/C][C]43645.1194403859[/C][C]112.565009668058[/C][C]284.880559614088[/C][C]-0.138586893537189[/C][/ROW]
[ROW][C]143[/C][C]44327[/C][C]44008.9852255906[/C][C]112.630298600359[/C][C]318.014774409395[/C][C]0.129863915151465[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116017&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116017&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
12050320503000
22288522755.7106018070123.370163497408129.2893981929710.699859938524715
32621726034.1579283185139.873415173678182.842071681451.63373762337835
42658326453.3297469248140.955390357216129.6702530752020.144607167104501
52775127592.8378934003145.007923908385158.1621065996910.516995150094647
62815828012.7450308873146.121851149791145.2549691126870.142326501383926
72737327245.1853116555142.435128542049127.814688344515-0.473046358384757
82836728204.949641262145.719762540397162.0503587379840.423157861516766
92685126739.1367350623139.269349498644111.863264937723-0.834336225113224
102673326591.2024067877138.124354517211141.797593212318-0.148692340818115
112684926709.8376606070138.046965839639139.162339393050-0.010089904209545
122673326599.4519517215137.064373828105133.548048278496-0.128617666936945
132795128571.436468485259.9095780052765-620.4364684852351.14337330218970
142978129722.960878083185.803633717848558.03912191688840.482967772768117
153291432703.313482723795.781935268125210.686517276281.49685127751953
163348833424.876703368696.85655852678463.12329663135420.323658502049087
173565235497.4550139661100.634707200520154.5449860338631.02183815990605
183648836366.9550266923102.125811395499121.0449733077460.397654829610959
193538735358.869742455799.9779743091628.1302575443211-0.574197066960397
203567635525.799699225100.107221116341150.2003007749920.0346272546975626
213484434792.515491195398.50179160479651.484508804732-0.431025256408253
223244732411.354151608993.723138294210135.6458483911326-1.28247037920867
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Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')