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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 computationWed, 22 Dec 2010 18:28:34 +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/22/t1293042426esyqfd8xo5li3xi.htm/, Retrieved Mon, 06 May 2024 09:19:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114466, Retrieved Mon, 06 May 2024 09:19:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [74be16979710d4c4e7c6647856088456]
- R  D    [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:33:35] [74be16979710d4c4e7c6647856088456]
-  M D        [Structural Time Series Models] [Aantal openstaand...] [2010-12-22 18:28:34] [f0b33ae54e73edcd25a3e2f31270d1c9] [Current]
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Dataseries X:
27.951
29.781
32.914
33.488
35.652
36.488
35.387
35.676
34.844
32.447
31.068
29.010
29.812
30.951
32.974
32.936
34.012
32.946
31.948
30.599
27.691
25.073
23.406
22.248
22.896
25.317
26.558
26.471
27.543
26.198
24.725
25.005
23.462
20.780
19.815
19.761
21.454
23.899
24.939
23.580
24.562
24.696
23.785
23.812
21.917
19.713
19.282
18.788
21.453
24.482
27.474
27.264
27.349
30.632
29.429
30.084
26.290
24.379
23.335
21.346
21.106
24.514
28.353
30.805
31.348
34.556
33.855
34.787
32.529
29.998
29.257
28.155
30.466
35.704
39.327
39.351
42.234
43.630
43.722
43.121
37.985
37.135
34.646
33.026
35.087
38.846
42.013
43.908
42.868
44.423
44.167
43.636
44.382
42.142
43.452
36.912
42.413
45.344
44.873
47.510
49.554
47.369
45.998
48.140
48.441
44.928
40.454
38.661
37.246
36.843
36.424
37.594
38.144
38.737
34.560
36.080
33.508
35.462
33.374
32.110
35.533
35.532
37.903
36.763
40.399
44.164
44.496
43.110
43.880
43.930
44.327




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114466&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114466&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114466&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
127.95127.951000
229.78129.6822811098470.09483605851600120.09871889015296940.518364563652692
332.91432.76859503639410.1099525829399110.1454049636059291.49315548015417
433.48833.3822668582520.1119105529548030.1057331417479640.251395246675409
535.65235.5089626516780.1200633411958560.1430373483220131.00552305294813
636.48836.36421147370430.1230317821418660.1237885262956840.366907814039052
735.38735.28679684120590.1182049680705050.100203158794136-0.599100089596232
835.67635.55040283135560.1187872564910370.1255971686444180.0725639038726732
934.84434.74107064691330.1150852343998780.102929353086717-0.46318410982435
1032.44732.36888369426320.105203580675850.0781163057367885-1.24127990564956
1131.06830.97699082306820.099279320635330.0910091769318152-0.74712427645299
1229.0128.93949799485310.0908570854964050.0705020051469073-1.06634555674936
1329.81230.22624125522080.0405278302552807-0.4142412552208350.718694520082875
1430.95130.91829081481140.05602842043037590.03270918518858180.277683164829393
1532.97432.83578091351290.06202526410059670.1382190864870880.927961227345693
1632.93632.91649974542340.06205744602244280.01950025457664780.00931968735363885
1734.01233.91682512084520.06384114610689130.09517487915484920.467767371475215
1832.94632.90138850673580.06176801063623010.0446114932641551-0.538066481662104
1931.94831.92823587082140.05978490043976780.0197641291786356-0.515951786143689
2030.59930.55947560451060.05705319418246380.0395243954893861-0.712189014564385
2127.69127.685908398720.05146063683465870.00509160128004148-1.46103283830045
2225.07325.08368181848330.0463973732317297-0.0106818184833299-1.32297207574768
2323.40623.36146832583740.04289461066490280.0445316741626302-0.88179380265044
2422.24822.2519880513730.0411954024912845-0.00398805137295444-0.574327773773983
2522.89623.12021289197010.0254455071084178-0.2242128919701270.451693759319038
2625.31725.2789400272680.0571478634862140.03805997273201930.97164551336651
2726.55826.39979154348780.06022351438250320.1582084565122140.529920853254009
2826.47126.49421704194960.0602620943279462-0.02321704194955640.0170465742187046
2927.54327.40506682815320.06134610449527720.1379331718467520.423927746788685
3026.19826.1945136299490.05966883208645390.00348637005104242-0.633906444947747
3124.72524.73366157811930.0576656174502978-0.0086615781192883-0.757817892548488
3225.00524.89524641999670.05780224051740610.1097535800032710.0517926299403132
3323.46223.45444162283130.05583562849080290.00755837716875017-0.746894287533493
3420.7820.82543844766620.0522786131586113-0.0454384476662017-1.3381196983024
3519.81519.73586619004430.05063945299270240.0791338099557167-0.56917058946496
3619.76119.75705012311310.05062359285117550.0039498768869447-0.0146735814276154
3721.45421.68910229596960.0282395335751107-0.235102295969630.993203408723862
3823.89923.8433383387540.05067436796101230.05566166124599060.99693885906984
3924.93924.77327407341820.05315224856259070.1657259265817730.437761608624555
4023.5823.71145625203280.0521465695141701-0.131456252032815-0.555651384854303
4124.56224.36649496208590.05273470253080980.1955050379141150.300437613106027
4224.69624.64707890619030.05297220612998650.04892109380972510.113543101621214
4323.78523.85757079480870.0520905480747668-0.0725707948086722-0.419829898870615
4423.81223.68396427169990.05185505142381670.128035728300071-0.112470644577997
4521.91721.9102148860530.04995230139510630.00678511394702009-0.90974472862603
4619.71319.79079661654960.0476253728288559-0.077796616549616-1.08108458022788
4719.28219.18334064109020.0468543030362110.0986593589097938-0.32650092809884
4818.78818.84086197824550.0468552139724681-0.0528619782454603-0.1939219954033
4921.45321.59916365037910.0242209248123714-0.1461636503790661.40611857358187
5024.48224.38885789204640.04633446424934420.09314210795357751.31842027469617
5127.47427.16642734477310.05396327039642590.3075726552268811.35897162614812
5227.26427.44649359790.0541498382622076-0.1824935978999980.112675309366731
5327.34927.19234346863880.05390234092799640.156656531361172-0.153623517918958
5430.63230.39850785539940.0566907573329310.233492144600571.5707344197462
5529.42929.59332207468620.0559177139468276-0.164322074686194-0.429463234798237
5630.08429.8851978555520.05612860284101860.1988021444479810.117575118197976
5726.2926.37191061809390.0529310805982058-0.0819106180938777-1.7786011389199
5824.37924.47051250703270.0510852708739122-0.0915125070326936-0.973871080469464
5923.33523.21279265918490.04976793993867290.122207340815055-0.652278390104376
6021.34621.54558324736090.0503698813768597-0.199583247360907-0.855229828192912
6121.10621.54447117689930.0506893104016439-0.4384711768993-0.0264065547536465
6224.51424.41935912859010.06849169034074570.09464087140986031.3607917211556
6328.35327.88237142416170.07786675327509460.4706285758383231.68802897542128
6430.80530.81912404144570.0802121627466569-0.01412404144570081.42467142186608
6531.34831.3399119285090.08051847100951380.008088071491049820.219527012160836
6634.55634.13814714927830.08264125467232270.4178528507217181.35414341822993
6733.85534.08957282677510.0825358535931282-0.234572826775071-0.0653801379497324
6834.78734.41634651862490.0827316223559190.3706534813751130.121695121109218
6932.52932.61315295292420.0812052351878342-0.0841529529242429-0.93969732191401
7029.99830.12500951742280.0789659428722756-0.127009517422761-1.28031821482307
7129.25729.0370993931960.07795269982093240.219900606803973-0.581502740620568
7228.15528.3494858730920.078394958084893-0.19448587309201-0.381377727137245
7330.46630.96674265183450.0662885994978607-0.5007426518344691.29269141245509
7435.70435.56655570494640.08943900533174690.1374442950535972.20043530746425
7539.32738.85120838395850.0981011998164560.4757916160414951.58812501251722
7639.35139.37260078342080.0984613733985634-0.02160078342077810.210938155779727
7742.23442.20653454323530.1001790402821990.02746545676465271.3629840342087
7843.6343.18227953499860.1007978094663410.4477204650014240.436251043518297
7943.72243.96074761470820.101298305103429-0.2387476147082370.337648539526512
8043.12142.75436907270160.1003298415146240.366630927298384-0.651548915561373
8137.98538.18244551755720.096797162397065-0.197445517557186-2.327983679072
8237.13537.17684508919180.095888889804103-0.0418450891917963-0.549326214262921
8334.64634.45281192190270.09378627043210350.193188078097325-1.40517726019916
8433.02633.33721362633580.0946579421822696-0.311213626335754-0.602571760195273
8535.08735.76882558827740.0859101999511022-0.681825588277411.18370312442093
8638.84638.73889743368090.09809098849474270.1071025663191191.40726556926566
8742.01341.41959723927070.1049116910227470.5934027607293371.28312046150423
8843.90843.9560774374790.107091895120264-0.04807743747903421.21170681378504
8942.86842.98493271013630.106458094773305-0.116932710136253-0.537240201026684
9044.42343.98148637753450.1070368674677620.4415136224654550.443481781781687
9144.16744.37255329001340.10723289809149-0.2055532900133970.141514399893063
9243.63643.12654543667180.1062879289643340.5094545633282-0.674236453892417
9344.38244.45537463120690.107170932694524-0.07337463120694820.609132880796467
9442.14242.17310898674220.105290048520726-0.0311089867422152-1.19065738002841
9543.45243.07564933324830.1057954485976360.3763506667516870.397241840098123
9636.91237.64928016866040.11024165150891-0.737280168660415-2.75684534303407
9742.41342.90716603048280.0948976260799886-0.4941660304828262.5974510182777
9845.34445.28176436782030.1029961610499370.0622356321797311.11667087720184
9944.87344.51662416866910.1007769803296370.356375831330919-0.431183888515992
10047.5147.33873582099280.1033522804009730.1712641790072111.35607150987643
10149.55449.62535296766830.104589745144392-0.07135296766826051.08782753901485
10247.36947.14396599467560.1030220339288540.225034005324362-1.28842211810628
10345.99846.17829499207230.102325386515533-0.180294992072318-0.532453728807364
10448.1447.6204165536650.1032201050859270.5195834463349470.667527806965795
10548.44148.3734304200010.1036748532348620.0675695799990540.323759240271622
10644.92845.23256157822220.101227260901004-0.304561578222195-1.61675388520215
10740.45440.01146362454230.09839246699177630.442536375457702-2.65173095359341
10838.66139.60265473632960.0988202776637635-0.941654736329599-0.25279138949226
10937.24637.97784846952490.102952532251004-0.731848469524935-0.86725216118386
11036.84336.7479075192590.0989113499191390.095092480741027-0.654819903327935
11136.42436.23384444652020.09740239407752870.190155553479785-0.304383715163824
11237.59437.48935684469040.098553318083380.1046431553095540.577077004618419
11338.14438.05814665520930.0988162868540470.0858533447906970.23429936587532
11438.73738.43967760358990.0989779359747310.2973223964100680.140856960817298
11534.5635.05510724779730.0968166721082219-0.495107247797342-1.73558239239217
11636.0835.59001518167370.09709924131973380.489984818326270.218268385291336
11733.50833.4383993612230.09556159832724360.069600638776962-1.12042062354352
11835.46235.35144695525970.09687456821601130.1105530447403150.905646895073373
11933.37433.07999552174350.09582790996090080.294004478256498-1.17988727367723
12032.1132.95315862950610.0960177339827477-0.84315862950613-0.110990305592535
12135.53335.92875251954750.0904264368125662-0.3957525195474511.44573950220552
12235.53235.43574047511580.08889705679632460.0962595248841726-0.287280108026436
12337.90337.65867673723940.0939369926137870.2443232627605791.05954528704126
12436.76336.7905206237280.0929404822125309-0.0275206237279602-0.479378506139735
12540.39940.15619555095290.09477641859895820.2428044490470771.63067610487277
12644.16443.50898870600690.0965522282702830.6550112939930741.62323412905553
12744.49644.98937831589990.0973743951541975-0.4933783158999080.689452801972381
12843.1142.67513496231940.09586164345150050.434865037680559-1.20152276271583
12943.8843.84556114939930.09658263364210740.03443885060068410.535402301943424
13043.9343.68981329561330.09640849075936650.240186704386738-0.125734131948606
13144.32743.98673667549960.09648107112814570.3402633245004120.099889741767247

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 27.951 & 27.951 & 0 & 0 & 0 \tabularnewline
2 & 29.781 & 29.682281109847 & 0.0948360585160012 & 0.0987188901529694 & 0.518364563652692 \tabularnewline
3 & 32.914 & 32.7685950363941 & 0.109952582939911 & 0.145404963605929 & 1.49315548015417 \tabularnewline
4 & 33.488 & 33.382266858252 & 0.111910552954803 & 0.105733141747964 & 0.251395246675409 \tabularnewline
5 & 35.652 & 35.508962651678 & 0.120063341195856 & 0.143037348322013 & 1.00552305294813 \tabularnewline
6 & 36.488 & 36.3642114737043 & 0.123031782141866 & 0.123788526295684 & 0.366907814039052 \tabularnewline
7 & 35.387 & 35.2867968412059 & 0.118204968070505 & 0.100203158794136 & -0.599100089596232 \tabularnewline
8 & 35.676 & 35.5504028313556 & 0.118787256491037 & 0.125597168644418 & 0.0725639038726732 \tabularnewline
9 & 34.844 & 34.7410706469133 & 0.115085234399878 & 0.102929353086717 & -0.46318410982435 \tabularnewline
10 & 32.447 & 32.3688836942632 & 0.10520358067585 & 0.0781163057367885 & -1.24127990564956 \tabularnewline
11 & 31.068 & 30.9769908230682 & 0.09927932063533 & 0.0910091769318152 & -0.74712427645299 \tabularnewline
12 & 29.01 & 28.9394979948531 & 0.090857085496405 & 0.0705020051469073 & -1.06634555674936 \tabularnewline
13 & 29.812 & 30.2262412552208 & 0.0405278302552807 & -0.414241255220835 & 0.718694520082875 \tabularnewline
14 & 30.951 & 30.9182908148114 & 0.0560284204303759 & 0.0327091851885818 & 0.277683164829393 \tabularnewline
15 & 32.974 & 32.8357809135129 & 0.0620252641005967 & 0.138219086487088 & 0.927961227345693 \tabularnewline
16 & 32.936 & 32.9164997454234 & 0.0620574460224428 & 0.0195002545766478 & 0.00931968735363885 \tabularnewline
17 & 34.012 & 33.9168251208452 & 0.0638411461068913 & 0.0951748791548492 & 0.467767371475215 \tabularnewline
18 & 32.946 & 32.9013885067358 & 0.0617680106362301 & 0.0446114932641551 & -0.538066481662104 \tabularnewline
19 & 31.948 & 31.9282358708214 & 0.0597849004397678 & 0.0197641291786356 & -0.515951786143689 \tabularnewline
20 & 30.599 & 30.5594756045106 & 0.0570531941824638 & 0.0395243954893861 & -0.712189014564385 \tabularnewline
21 & 27.691 & 27.68590839872 & 0.0514606368346587 & 0.00509160128004148 & -1.46103283830045 \tabularnewline
22 & 25.073 & 25.0836818184833 & 0.0463973732317297 & -0.0106818184833299 & -1.32297207574768 \tabularnewline
23 & 23.406 & 23.3614683258374 & 0.0428946106649028 & 0.0445316741626302 & -0.88179380265044 \tabularnewline
24 & 22.248 & 22.251988051373 & 0.0411954024912845 & -0.00398805137295444 & -0.574327773773983 \tabularnewline
25 & 22.896 & 23.1202128919701 & 0.0254455071084178 & -0.224212891970127 & 0.451693759319038 \tabularnewline
26 & 25.317 & 25.278940027268 & 0.057147863486214 & 0.0380599727320193 & 0.97164551336651 \tabularnewline
27 & 26.558 & 26.3997915434878 & 0.0602235143825032 & 0.158208456512214 & 0.529920853254009 \tabularnewline
28 & 26.471 & 26.4942170419496 & 0.0602620943279462 & -0.0232170419495564 & 0.0170465742187046 \tabularnewline
29 & 27.543 & 27.4050668281532 & 0.0613461044952772 & 0.137933171846752 & 0.423927746788685 \tabularnewline
30 & 26.198 & 26.194513629949 & 0.0596688320864539 & 0.00348637005104242 & -0.633906444947747 \tabularnewline
31 & 24.725 & 24.7336615781193 & 0.0576656174502978 & -0.0086615781192883 & -0.757817892548488 \tabularnewline
32 & 25.005 & 24.8952464199967 & 0.0578022405174061 & 0.109753580003271 & 0.0517926299403132 \tabularnewline
33 & 23.462 & 23.4544416228313 & 0.0558356284908029 & 0.00755837716875017 & -0.746894287533493 \tabularnewline
34 & 20.78 & 20.8254384476662 & 0.0522786131586113 & -0.0454384476662017 & -1.3381196983024 \tabularnewline
35 & 19.815 & 19.7358661900443 & 0.0506394529927024 & 0.0791338099557167 & -0.56917058946496 \tabularnewline
36 & 19.761 & 19.7570501231131 & 0.0506235928511755 & 0.0039498768869447 & -0.0146735814276154 \tabularnewline
37 & 21.454 & 21.6891022959696 & 0.0282395335751107 & -0.23510229596963 & 0.993203408723862 \tabularnewline
38 & 23.899 & 23.843338338754 & 0.0506743679610123 & 0.0556616612459906 & 0.99693885906984 \tabularnewline
39 & 24.939 & 24.7732740734182 & 0.0531522485625907 & 0.165725926581773 & 0.437761608624555 \tabularnewline
40 & 23.58 & 23.7114562520328 & 0.0521465695141701 & -0.131456252032815 & -0.555651384854303 \tabularnewline
41 & 24.562 & 24.3664949620859 & 0.0527347025308098 & 0.195505037914115 & 0.300437613106027 \tabularnewline
42 & 24.696 & 24.6470789061903 & 0.0529722061299865 & 0.0489210938097251 & 0.113543101621214 \tabularnewline
43 & 23.785 & 23.8575707948087 & 0.0520905480747668 & -0.0725707948086722 & -0.419829898870615 \tabularnewline
44 & 23.812 & 23.6839642716999 & 0.0518550514238167 & 0.128035728300071 & -0.112470644577997 \tabularnewline
45 & 21.917 & 21.910214886053 & 0.0499523013951063 & 0.00678511394702009 & -0.90974472862603 \tabularnewline
46 & 19.713 & 19.7907966165496 & 0.0476253728288559 & -0.077796616549616 & -1.08108458022788 \tabularnewline
47 & 19.282 & 19.1833406410902 & 0.046854303036211 & 0.0986593589097938 & -0.32650092809884 \tabularnewline
48 & 18.788 & 18.8408619782455 & 0.0468552139724681 & -0.0528619782454603 & -0.1939219954033 \tabularnewline
49 & 21.453 & 21.5991636503791 & 0.0242209248123714 & -0.146163650379066 & 1.40611857358187 \tabularnewline
50 & 24.482 & 24.3888578920464 & 0.0463344642493442 & 0.0931421079535775 & 1.31842027469617 \tabularnewline
51 & 27.474 & 27.1664273447731 & 0.0539632703964259 & 0.307572655226881 & 1.35897162614812 \tabularnewline
52 & 27.264 & 27.4464935979 & 0.0541498382622076 & -0.182493597899998 & 0.112675309366731 \tabularnewline
53 & 27.349 & 27.1923434686388 & 0.0539023409279964 & 0.156656531361172 & -0.153623517918958 \tabularnewline
54 & 30.632 & 30.3985078553994 & 0.056690757332931 & 0.23349214460057 & 1.5707344197462 \tabularnewline
55 & 29.429 & 29.5933220746862 & 0.0559177139468276 & -0.164322074686194 & -0.429463234798237 \tabularnewline
56 & 30.084 & 29.885197855552 & 0.0561286028410186 & 0.198802144447981 & 0.117575118197976 \tabularnewline
57 & 26.29 & 26.3719106180939 & 0.0529310805982058 & -0.0819106180938777 & -1.7786011389199 \tabularnewline
58 & 24.379 & 24.4705125070327 & 0.0510852708739122 & -0.0915125070326936 & -0.973871080469464 \tabularnewline
59 & 23.335 & 23.2127926591849 & 0.0497679399386729 & 0.122207340815055 & -0.652278390104376 \tabularnewline
60 & 21.346 & 21.5455832473609 & 0.0503698813768597 & -0.199583247360907 & -0.855229828192912 \tabularnewline
61 & 21.106 & 21.5444711768993 & 0.0506893104016439 & -0.4384711768993 & -0.0264065547536465 \tabularnewline
62 & 24.514 & 24.4193591285901 & 0.0684916903407457 & 0.0946408714098603 & 1.3607917211556 \tabularnewline
63 & 28.353 & 27.8823714241617 & 0.0778667532750946 & 0.470628575838323 & 1.68802897542128 \tabularnewline
64 & 30.805 & 30.8191240414457 & 0.0802121627466569 & -0.0141240414457008 & 1.42467142186608 \tabularnewline
65 & 31.348 & 31.339911928509 & 0.0805184710095138 & 0.00808807149104982 & 0.219527012160836 \tabularnewline
66 & 34.556 & 34.1381471492783 & 0.0826412546723227 & 0.417852850721718 & 1.35414341822993 \tabularnewline
67 & 33.855 & 34.0895728267751 & 0.0825358535931282 & -0.234572826775071 & -0.0653801379497324 \tabularnewline
68 & 34.787 & 34.4163465186249 & 0.082731622355919 & 0.370653481375113 & 0.121695121109218 \tabularnewline
69 & 32.529 & 32.6131529529242 & 0.0812052351878342 & -0.0841529529242429 & -0.93969732191401 \tabularnewline
70 & 29.998 & 30.1250095174228 & 0.0789659428722756 & -0.127009517422761 & -1.28031821482307 \tabularnewline
71 & 29.257 & 29.037099393196 & 0.0779526998209324 & 0.219900606803973 & -0.581502740620568 \tabularnewline
72 & 28.155 & 28.349485873092 & 0.078394958084893 & -0.19448587309201 & -0.381377727137245 \tabularnewline
73 & 30.466 & 30.9667426518345 & 0.0662885994978607 & -0.500742651834469 & 1.29269141245509 \tabularnewline
74 & 35.704 & 35.5665557049464 & 0.0894390053317469 & 0.137444295053597 & 2.20043530746425 \tabularnewline
75 & 39.327 & 38.8512083839585 & 0.098101199816456 & 0.475791616041495 & 1.58812501251722 \tabularnewline
76 & 39.351 & 39.3726007834208 & 0.0984613733985634 & -0.0216007834207781 & 0.210938155779727 \tabularnewline
77 & 42.234 & 42.2065345432353 & 0.100179040282199 & 0.0274654567646527 & 1.3629840342087 \tabularnewline
78 & 43.63 & 43.1822795349986 & 0.100797809466341 & 0.447720465001424 & 0.436251043518297 \tabularnewline
79 & 43.722 & 43.9607476147082 & 0.101298305103429 & -0.238747614708237 & 0.337648539526512 \tabularnewline
80 & 43.121 & 42.7543690727016 & 0.100329841514624 & 0.366630927298384 & -0.651548915561373 \tabularnewline
81 & 37.985 & 38.1824455175572 & 0.096797162397065 & -0.197445517557186 & -2.327983679072 \tabularnewline
82 & 37.135 & 37.1768450891918 & 0.095888889804103 & -0.0418450891917963 & -0.549326214262921 \tabularnewline
83 & 34.646 & 34.4528119219027 & 0.0937862704321035 & 0.193188078097325 & -1.40517726019916 \tabularnewline
84 & 33.026 & 33.3372136263358 & 0.0946579421822696 & -0.311213626335754 & -0.602571760195273 \tabularnewline
85 & 35.087 & 35.7688255882774 & 0.0859101999511022 & -0.68182558827741 & 1.18370312442093 \tabularnewline
86 & 38.846 & 38.7388974336809 & 0.0980909884947427 & 0.107102566319119 & 1.40726556926566 \tabularnewline
87 & 42.013 & 41.4195972392707 & 0.104911691022747 & 0.593402760729337 & 1.28312046150423 \tabularnewline
88 & 43.908 & 43.956077437479 & 0.107091895120264 & -0.0480774374790342 & 1.21170681378504 \tabularnewline
89 & 42.868 & 42.9849327101363 & 0.106458094773305 & -0.116932710136253 & -0.537240201026684 \tabularnewline
90 & 44.423 & 43.9814863775345 & 0.107036867467762 & 0.441513622465455 & 0.443481781781687 \tabularnewline
91 & 44.167 & 44.3725532900134 & 0.10723289809149 & -0.205553290013397 & 0.141514399893063 \tabularnewline
92 & 43.636 & 43.1265454366718 & 0.106287928964334 & 0.5094545633282 & -0.674236453892417 \tabularnewline
93 & 44.382 & 44.4553746312069 & 0.107170932694524 & -0.0733746312069482 & 0.609132880796467 \tabularnewline
94 & 42.142 & 42.1731089867422 & 0.105290048520726 & -0.0311089867422152 & -1.19065738002841 \tabularnewline
95 & 43.452 & 43.0756493332483 & 0.105795448597636 & 0.376350666751687 & 0.397241840098123 \tabularnewline
96 & 36.912 & 37.6492801686604 & 0.11024165150891 & -0.737280168660415 & -2.75684534303407 \tabularnewline
97 & 42.413 & 42.9071660304828 & 0.0948976260799886 & -0.494166030482826 & 2.5974510182777 \tabularnewline
98 & 45.344 & 45.2817643678203 & 0.102996161049937 & 0.062235632179731 & 1.11667087720184 \tabularnewline
99 & 44.873 & 44.5166241686691 & 0.100776980329637 & 0.356375831330919 & -0.431183888515992 \tabularnewline
100 & 47.51 & 47.3387358209928 & 0.103352280400973 & 0.171264179007211 & 1.35607150987643 \tabularnewline
101 & 49.554 & 49.6253529676683 & 0.104589745144392 & -0.0713529676682605 & 1.08782753901485 \tabularnewline
102 & 47.369 & 47.1439659946756 & 0.103022033928854 & 0.225034005324362 & -1.28842211810628 \tabularnewline
103 & 45.998 & 46.1782949920723 & 0.102325386515533 & -0.180294992072318 & -0.532453728807364 \tabularnewline
104 & 48.14 & 47.620416553665 & 0.103220105085927 & 0.519583446334947 & 0.667527806965795 \tabularnewline
105 & 48.441 & 48.373430420001 & 0.103674853234862 & 0.067569579999054 & 0.323759240271622 \tabularnewline
106 & 44.928 & 45.2325615782222 & 0.101227260901004 & -0.304561578222195 & -1.61675388520215 \tabularnewline
107 & 40.454 & 40.0114636245423 & 0.0983924669917763 & 0.442536375457702 & -2.65173095359341 \tabularnewline
108 & 38.661 & 39.6026547363296 & 0.0988202776637635 & -0.941654736329599 & -0.25279138949226 \tabularnewline
109 & 37.246 & 37.9778484695249 & 0.102952532251004 & -0.731848469524935 & -0.86725216118386 \tabularnewline
110 & 36.843 & 36.747907519259 & 0.098911349919139 & 0.095092480741027 & -0.654819903327935 \tabularnewline
111 & 36.424 & 36.2338444465202 & 0.0974023940775287 & 0.190155553479785 & -0.304383715163824 \tabularnewline
112 & 37.594 & 37.4893568446904 & 0.09855331808338 & 0.104643155309554 & 0.577077004618419 \tabularnewline
113 & 38.144 & 38.0581466552093 & 0.098816286854047 & 0.085853344790697 & 0.23429936587532 \tabularnewline
114 & 38.737 & 38.4396776035899 & 0.098977935974731 & 0.297322396410068 & 0.140856960817298 \tabularnewline
115 & 34.56 & 35.0551072477973 & 0.0968166721082219 & -0.495107247797342 & -1.73558239239217 \tabularnewline
116 & 36.08 & 35.5900151816737 & 0.0970992413197338 & 0.48998481832627 & 0.218268385291336 \tabularnewline
117 & 33.508 & 33.438399361223 & 0.0955615983272436 & 0.069600638776962 & -1.12042062354352 \tabularnewline
118 & 35.462 & 35.3514469552597 & 0.0968745682160113 & 0.110553044740315 & 0.905646895073373 \tabularnewline
119 & 33.374 & 33.0799955217435 & 0.0958279099609008 & 0.294004478256498 & -1.17988727367723 \tabularnewline
120 & 32.11 & 32.9531586295061 & 0.0960177339827477 & -0.84315862950613 & -0.110990305592535 \tabularnewline
121 & 35.533 & 35.9287525195475 & 0.0904264368125662 & -0.395752519547451 & 1.44573950220552 \tabularnewline
122 & 35.532 & 35.4357404751158 & 0.0888970567963246 & 0.0962595248841726 & -0.287280108026436 \tabularnewline
123 & 37.903 & 37.6586767372394 & 0.093936992613787 & 0.244323262760579 & 1.05954528704126 \tabularnewline
124 & 36.763 & 36.790520623728 & 0.0929404822125309 & -0.0275206237279602 & -0.479378506139735 \tabularnewline
125 & 40.399 & 40.1561955509529 & 0.0947764185989582 & 0.242804449047077 & 1.63067610487277 \tabularnewline
126 & 44.164 & 43.5089887060069 & 0.096552228270283 & 0.655011293993074 & 1.62323412905553 \tabularnewline
127 & 44.496 & 44.9893783158999 & 0.0973743951541975 & -0.493378315899908 & 0.689452801972381 \tabularnewline
128 & 43.11 & 42.6751349623194 & 0.0958616434515005 & 0.434865037680559 & -1.20152276271583 \tabularnewline
129 & 43.88 & 43.8455611493993 & 0.0965826336421074 & 0.0344388506006841 & 0.535402301943424 \tabularnewline
130 & 43.93 & 43.6898132956133 & 0.0964084907593665 & 0.240186704386738 & -0.125734131948606 \tabularnewline
131 & 44.327 & 43.9867366754996 & 0.0964810711281457 & 0.340263324500412 & 0.099889741767247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114466&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]27.951[/C][C]27.951[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]29.781[/C][C]29.682281109847[/C][C]0.0948360585160012[/C][C]0.0987188901529694[/C][C]0.518364563652692[/C][/ROW]
[ROW][C]3[/C][C]32.914[/C][C]32.7685950363941[/C][C]0.109952582939911[/C][C]0.145404963605929[/C][C]1.49315548015417[/C][/ROW]
[ROW][C]4[/C][C]33.488[/C][C]33.382266858252[/C][C]0.111910552954803[/C][C]0.105733141747964[/C][C]0.251395246675409[/C][/ROW]
[ROW][C]5[/C][C]35.652[/C][C]35.508962651678[/C][C]0.120063341195856[/C][C]0.143037348322013[/C][C]1.00552305294813[/C][/ROW]
[ROW][C]6[/C][C]36.488[/C][C]36.3642114737043[/C][C]0.123031782141866[/C][C]0.123788526295684[/C][C]0.366907814039052[/C][/ROW]
[ROW][C]7[/C][C]35.387[/C][C]35.2867968412059[/C][C]0.118204968070505[/C][C]0.100203158794136[/C][C]-0.599100089596232[/C][/ROW]
[ROW][C]8[/C][C]35.676[/C][C]35.5504028313556[/C][C]0.118787256491037[/C][C]0.125597168644418[/C][C]0.0725639038726732[/C][/ROW]
[ROW][C]9[/C][C]34.844[/C][C]34.7410706469133[/C][C]0.115085234399878[/C][C]0.102929353086717[/C][C]-0.46318410982435[/C][/ROW]
[ROW][C]10[/C][C]32.447[/C][C]32.3688836942632[/C][C]0.10520358067585[/C][C]0.0781163057367885[/C][C]-1.24127990564956[/C][/ROW]
[ROW][C]11[/C][C]31.068[/C][C]30.9769908230682[/C][C]0.09927932063533[/C][C]0.0910091769318152[/C][C]-0.74712427645299[/C][/ROW]
[ROW][C]12[/C][C]29.01[/C][C]28.9394979948531[/C][C]0.090857085496405[/C][C]0.0705020051469073[/C][C]-1.06634555674936[/C][/ROW]
[ROW][C]13[/C][C]29.812[/C][C]30.2262412552208[/C][C]0.0405278302552807[/C][C]-0.414241255220835[/C][C]0.718694520082875[/C][/ROW]
[ROW][C]14[/C][C]30.951[/C][C]30.9182908148114[/C][C]0.0560284204303759[/C][C]0.0327091851885818[/C][C]0.277683164829393[/C][/ROW]
[ROW][C]15[/C][C]32.974[/C][C]32.8357809135129[/C][C]0.0620252641005967[/C][C]0.138219086487088[/C][C]0.927961227345693[/C][/ROW]
[ROW][C]16[/C][C]32.936[/C][C]32.9164997454234[/C][C]0.0620574460224428[/C][C]0.0195002545766478[/C][C]0.00931968735363885[/C][/ROW]
[ROW][C]17[/C][C]34.012[/C][C]33.9168251208452[/C][C]0.0638411461068913[/C][C]0.0951748791548492[/C][C]0.467767371475215[/C][/ROW]
[ROW][C]18[/C][C]32.946[/C][C]32.9013885067358[/C][C]0.0617680106362301[/C][C]0.0446114932641551[/C][C]-0.538066481662104[/C][/ROW]
[ROW][C]19[/C][C]31.948[/C][C]31.9282358708214[/C][C]0.0597849004397678[/C][C]0.0197641291786356[/C][C]-0.515951786143689[/C][/ROW]
[ROW][C]20[/C][C]30.599[/C][C]30.5594756045106[/C][C]0.0570531941824638[/C][C]0.0395243954893861[/C][C]-0.712189014564385[/C][/ROW]
[ROW][C]21[/C][C]27.691[/C][C]27.68590839872[/C][C]0.0514606368346587[/C][C]0.00509160128004148[/C][C]-1.46103283830045[/C][/ROW]
[ROW][C]22[/C][C]25.073[/C][C]25.0836818184833[/C][C]0.0463973732317297[/C][C]-0.0106818184833299[/C][C]-1.32297207574768[/C][/ROW]
[ROW][C]23[/C][C]23.406[/C][C]23.3614683258374[/C][C]0.0428946106649028[/C][C]0.0445316741626302[/C][C]-0.88179380265044[/C][/ROW]
[ROW][C]24[/C][C]22.248[/C][C]22.251988051373[/C][C]0.0411954024912845[/C][C]-0.00398805137295444[/C][C]-0.574327773773983[/C][/ROW]
[ROW][C]25[/C][C]22.896[/C][C]23.1202128919701[/C][C]0.0254455071084178[/C][C]-0.224212891970127[/C][C]0.451693759319038[/C][/ROW]
[ROW][C]26[/C][C]25.317[/C][C]25.278940027268[/C][C]0.057147863486214[/C][C]0.0380599727320193[/C][C]0.97164551336651[/C][/ROW]
[ROW][C]27[/C][C]26.558[/C][C]26.3997915434878[/C][C]0.0602235143825032[/C][C]0.158208456512214[/C][C]0.529920853254009[/C][/ROW]
[ROW][C]28[/C][C]26.471[/C][C]26.4942170419496[/C][C]0.0602620943279462[/C][C]-0.0232170419495564[/C][C]0.0170465742187046[/C][/ROW]
[ROW][C]29[/C][C]27.543[/C][C]27.4050668281532[/C][C]0.0613461044952772[/C][C]0.137933171846752[/C][C]0.423927746788685[/C][/ROW]
[ROW][C]30[/C][C]26.198[/C][C]26.194513629949[/C][C]0.0596688320864539[/C][C]0.00348637005104242[/C][C]-0.633906444947747[/C][/ROW]
[ROW][C]31[/C][C]24.725[/C][C]24.7336615781193[/C][C]0.0576656174502978[/C][C]-0.0086615781192883[/C][C]-0.757817892548488[/C][/ROW]
[ROW][C]32[/C][C]25.005[/C][C]24.8952464199967[/C][C]0.0578022405174061[/C][C]0.109753580003271[/C][C]0.0517926299403132[/C][/ROW]
[ROW][C]33[/C][C]23.462[/C][C]23.4544416228313[/C][C]0.0558356284908029[/C][C]0.00755837716875017[/C][C]-0.746894287533493[/C][/ROW]
[ROW][C]34[/C][C]20.78[/C][C]20.8254384476662[/C][C]0.0522786131586113[/C][C]-0.0454384476662017[/C][C]-1.3381196983024[/C][/ROW]
[ROW][C]35[/C][C]19.815[/C][C]19.7358661900443[/C][C]0.0506394529927024[/C][C]0.0791338099557167[/C][C]-0.56917058946496[/C][/ROW]
[ROW][C]36[/C][C]19.761[/C][C]19.7570501231131[/C][C]0.0506235928511755[/C][C]0.0039498768869447[/C][C]-0.0146735814276154[/C][/ROW]
[ROW][C]37[/C][C]21.454[/C][C]21.6891022959696[/C][C]0.0282395335751107[/C][C]-0.23510229596963[/C][C]0.993203408723862[/C][/ROW]
[ROW][C]38[/C][C]23.899[/C][C]23.843338338754[/C][C]0.0506743679610123[/C][C]0.0556616612459906[/C][C]0.99693885906984[/C][/ROW]
[ROW][C]39[/C][C]24.939[/C][C]24.7732740734182[/C][C]0.0531522485625907[/C][C]0.165725926581773[/C][C]0.437761608624555[/C][/ROW]
[ROW][C]40[/C][C]23.58[/C][C]23.7114562520328[/C][C]0.0521465695141701[/C][C]-0.131456252032815[/C][C]-0.555651384854303[/C][/ROW]
[ROW][C]41[/C][C]24.562[/C][C]24.3664949620859[/C][C]0.0527347025308098[/C][C]0.195505037914115[/C][C]0.300437613106027[/C][/ROW]
[ROW][C]42[/C][C]24.696[/C][C]24.6470789061903[/C][C]0.0529722061299865[/C][C]0.0489210938097251[/C][C]0.113543101621214[/C][/ROW]
[ROW][C]43[/C][C]23.785[/C][C]23.8575707948087[/C][C]0.0520905480747668[/C][C]-0.0725707948086722[/C][C]-0.419829898870615[/C][/ROW]
[ROW][C]44[/C][C]23.812[/C][C]23.6839642716999[/C][C]0.0518550514238167[/C][C]0.128035728300071[/C][C]-0.112470644577997[/C][/ROW]
[ROW][C]45[/C][C]21.917[/C][C]21.910214886053[/C][C]0.0499523013951063[/C][C]0.00678511394702009[/C][C]-0.90974472862603[/C][/ROW]
[ROW][C]46[/C][C]19.713[/C][C]19.7907966165496[/C][C]0.0476253728288559[/C][C]-0.077796616549616[/C][C]-1.08108458022788[/C][/ROW]
[ROW][C]47[/C][C]19.282[/C][C]19.1833406410902[/C][C]0.046854303036211[/C][C]0.0986593589097938[/C][C]-0.32650092809884[/C][/ROW]
[ROW][C]48[/C][C]18.788[/C][C]18.8408619782455[/C][C]0.0468552139724681[/C][C]-0.0528619782454603[/C][C]-0.1939219954033[/C][/ROW]
[ROW][C]49[/C][C]21.453[/C][C]21.5991636503791[/C][C]0.0242209248123714[/C][C]-0.146163650379066[/C][C]1.40611857358187[/C][/ROW]
[ROW][C]50[/C][C]24.482[/C][C]24.3888578920464[/C][C]0.0463344642493442[/C][C]0.0931421079535775[/C][C]1.31842027469617[/C][/ROW]
[ROW][C]51[/C][C]27.474[/C][C]27.1664273447731[/C][C]0.0539632703964259[/C][C]0.307572655226881[/C][C]1.35897162614812[/C][/ROW]
[ROW][C]52[/C][C]27.264[/C][C]27.4464935979[/C][C]0.0541498382622076[/C][C]-0.182493597899998[/C][C]0.112675309366731[/C][/ROW]
[ROW][C]53[/C][C]27.349[/C][C]27.1923434686388[/C][C]0.0539023409279964[/C][C]0.156656531361172[/C][C]-0.153623517918958[/C][/ROW]
[ROW][C]54[/C][C]30.632[/C][C]30.3985078553994[/C][C]0.056690757332931[/C][C]0.23349214460057[/C][C]1.5707344197462[/C][/ROW]
[ROW][C]55[/C][C]29.429[/C][C]29.5933220746862[/C][C]0.0559177139468276[/C][C]-0.164322074686194[/C][C]-0.429463234798237[/C][/ROW]
[ROW][C]56[/C][C]30.084[/C][C]29.885197855552[/C][C]0.0561286028410186[/C][C]0.198802144447981[/C][C]0.117575118197976[/C][/ROW]
[ROW][C]57[/C][C]26.29[/C][C]26.3719106180939[/C][C]0.0529310805982058[/C][C]-0.0819106180938777[/C][C]-1.7786011389199[/C][/ROW]
[ROW][C]58[/C][C]24.379[/C][C]24.4705125070327[/C][C]0.0510852708739122[/C][C]-0.0915125070326936[/C][C]-0.973871080469464[/C][/ROW]
[ROW][C]59[/C][C]23.335[/C][C]23.2127926591849[/C][C]0.0497679399386729[/C][C]0.122207340815055[/C][C]-0.652278390104376[/C][/ROW]
[ROW][C]60[/C][C]21.346[/C][C]21.5455832473609[/C][C]0.0503698813768597[/C][C]-0.199583247360907[/C][C]-0.855229828192912[/C][/ROW]
[ROW][C]61[/C][C]21.106[/C][C]21.5444711768993[/C][C]0.0506893104016439[/C][C]-0.4384711768993[/C][C]-0.0264065547536465[/C][/ROW]
[ROW][C]62[/C][C]24.514[/C][C]24.4193591285901[/C][C]0.0684916903407457[/C][C]0.0946408714098603[/C][C]1.3607917211556[/C][/ROW]
[ROW][C]63[/C][C]28.353[/C][C]27.8823714241617[/C][C]0.0778667532750946[/C][C]0.470628575838323[/C][C]1.68802897542128[/C][/ROW]
[ROW][C]64[/C][C]30.805[/C][C]30.8191240414457[/C][C]0.0802121627466569[/C][C]-0.0141240414457008[/C][C]1.42467142186608[/C][/ROW]
[ROW][C]65[/C][C]31.348[/C][C]31.339911928509[/C][C]0.0805184710095138[/C][C]0.00808807149104982[/C][C]0.219527012160836[/C][/ROW]
[ROW][C]66[/C][C]34.556[/C][C]34.1381471492783[/C][C]0.0826412546723227[/C][C]0.417852850721718[/C][C]1.35414341822993[/C][/ROW]
[ROW][C]67[/C][C]33.855[/C][C]34.0895728267751[/C][C]0.0825358535931282[/C][C]-0.234572826775071[/C][C]-0.0653801379497324[/C][/ROW]
[ROW][C]68[/C][C]34.787[/C][C]34.4163465186249[/C][C]0.082731622355919[/C][C]0.370653481375113[/C][C]0.121695121109218[/C][/ROW]
[ROW][C]69[/C][C]32.529[/C][C]32.6131529529242[/C][C]0.0812052351878342[/C][C]-0.0841529529242429[/C][C]-0.93969732191401[/C][/ROW]
[ROW][C]70[/C][C]29.998[/C][C]30.1250095174228[/C][C]0.0789659428722756[/C][C]-0.127009517422761[/C][C]-1.28031821482307[/C][/ROW]
[ROW][C]71[/C][C]29.257[/C][C]29.037099393196[/C][C]0.0779526998209324[/C][C]0.219900606803973[/C][C]-0.581502740620568[/C][/ROW]
[ROW][C]72[/C][C]28.155[/C][C]28.349485873092[/C][C]0.078394958084893[/C][C]-0.19448587309201[/C][C]-0.381377727137245[/C][/ROW]
[ROW][C]73[/C][C]30.466[/C][C]30.9667426518345[/C][C]0.0662885994978607[/C][C]-0.500742651834469[/C][C]1.29269141245509[/C][/ROW]
[ROW][C]74[/C][C]35.704[/C][C]35.5665557049464[/C][C]0.0894390053317469[/C][C]0.137444295053597[/C][C]2.20043530746425[/C][/ROW]
[ROW][C]75[/C][C]39.327[/C][C]38.8512083839585[/C][C]0.098101199816456[/C][C]0.475791616041495[/C][C]1.58812501251722[/C][/ROW]
[ROW][C]76[/C][C]39.351[/C][C]39.3726007834208[/C][C]0.0984613733985634[/C][C]-0.0216007834207781[/C][C]0.210938155779727[/C][/ROW]
[ROW][C]77[/C][C]42.234[/C][C]42.2065345432353[/C][C]0.100179040282199[/C][C]0.0274654567646527[/C][C]1.3629840342087[/C][/ROW]
[ROW][C]78[/C][C]43.63[/C][C]43.1822795349986[/C][C]0.100797809466341[/C][C]0.447720465001424[/C][C]0.436251043518297[/C][/ROW]
[ROW][C]79[/C][C]43.722[/C][C]43.9607476147082[/C][C]0.101298305103429[/C][C]-0.238747614708237[/C][C]0.337648539526512[/C][/ROW]
[ROW][C]80[/C][C]43.121[/C][C]42.7543690727016[/C][C]0.100329841514624[/C][C]0.366630927298384[/C][C]-0.651548915561373[/C][/ROW]
[ROW][C]81[/C][C]37.985[/C][C]38.1824455175572[/C][C]0.096797162397065[/C][C]-0.197445517557186[/C][C]-2.327983679072[/C][/ROW]
[ROW][C]82[/C][C]37.135[/C][C]37.1768450891918[/C][C]0.095888889804103[/C][C]-0.0418450891917963[/C][C]-0.549326214262921[/C][/ROW]
[ROW][C]83[/C][C]34.646[/C][C]34.4528119219027[/C][C]0.0937862704321035[/C][C]0.193188078097325[/C][C]-1.40517726019916[/C][/ROW]
[ROW][C]84[/C][C]33.026[/C][C]33.3372136263358[/C][C]0.0946579421822696[/C][C]-0.311213626335754[/C][C]-0.602571760195273[/C][/ROW]
[ROW][C]85[/C][C]35.087[/C][C]35.7688255882774[/C][C]0.0859101999511022[/C][C]-0.68182558827741[/C][C]1.18370312442093[/C][/ROW]
[ROW][C]86[/C][C]38.846[/C][C]38.7388974336809[/C][C]0.0980909884947427[/C][C]0.107102566319119[/C][C]1.40726556926566[/C][/ROW]
[ROW][C]87[/C][C]42.013[/C][C]41.4195972392707[/C][C]0.104911691022747[/C][C]0.593402760729337[/C][C]1.28312046150423[/C][/ROW]
[ROW][C]88[/C][C]43.908[/C][C]43.956077437479[/C][C]0.107091895120264[/C][C]-0.0480774374790342[/C][C]1.21170681378504[/C][/ROW]
[ROW][C]89[/C][C]42.868[/C][C]42.9849327101363[/C][C]0.106458094773305[/C][C]-0.116932710136253[/C][C]-0.537240201026684[/C][/ROW]
[ROW][C]90[/C][C]44.423[/C][C]43.9814863775345[/C][C]0.107036867467762[/C][C]0.441513622465455[/C][C]0.443481781781687[/C][/ROW]
[ROW][C]91[/C][C]44.167[/C][C]44.3725532900134[/C][C]0.10723289809149[/C][C]-0.205553290013397[/C][C]0.141514399893063[/C][/ROW]
[ROW][C]92[/C][C]43.636[/C][C]43.1265454366718[/C][C]0.106287928964334[/C][C]0.5094545633282[/C][C]-0.674236453892417[/C][/ROW]
[ROW][C]93[/C][C]44.382[/C][C]44.4553746312069[/C][C]0.107170932694524[/C][C]-0.0733746312069482[/C][C]0.609132880796467[/C][/ROW]
[ROW][C]94[/C][C]42.142[/C][C]42.1731089867422[/C][C]0.105290048520726[/C][C]-0.0311089867422152[/C][C]-1.19065738002841[/C][/ROW]
[ROW][C]95[/C][C]43.452[/C][C]43.0756493332483[/C][C]0.105795448597636[/C][C]0.376350666751687[/C][C]0.397241840098123[/C][/ROW]
[ROW][C]96[/C][C]36.912[/C][C]37.6492801686604[/C][C]0.11024165150891[/C][C]-0.737280168660415[/C][C]-2.75684534303407[/C][/ROW]
[ROW][C]97[/C][C]42.413[/C][C]42.9071660304828[/C][C]0.0948976260799886[/C][C]-0.494166030482826[/C][C]2.5974510182777[/C][/ROW]
[ROW][C]98[/C][C]45.344[/C][C]45.2817643678203[/C][C]0.102996161049937[/C][C]0.062235632179731[/C][C]1.11667087720184[/C][/ROW]
[ROW][C]99[/C][C]44.873[/C][C]44.5166241686691[/C][C]0.100776980329637[/C][C]0.356375831330919[/C][C]-0.431183888515992[/C][/ROW]
[ROW][C]100[/C][C]47.51[/C][C]47.3387358209928[/C][C]0.103352280400973[/C][C]0.171264179007211[/C][C]1.35607150987643[/C][/ROW]
[ROW][C]101[/C][C]49.554[/C][C]49.6253529676683[/C][C]0.104589745144392[/C][C]-0.0713529676682605[/C][C]1.08782753901485[/C][/ROW]
[ROW][C]102[/C][C]47.369[/C][C]47.1439659946756[/C][C]0.103022033928854[/C][C]0.225034005324362[/C][C]-1.28842211810628[/C][/ROW]
[ROW][C]103[/C][C]45.998[/C][C]46.1782949920723[/C][C]0.102325386515533[/C][C]-0.180294992072318[/C][C]-0.532453728807364[/C][/ROW]
[ROW][C]104[/C][C]48.14[/C][C]47.620416553665[/C][C]0.103220105085927[/C][C]0.519583446334947[/C][C]0.667527806965795[/C][/ROW]
[ROW][C]105[/C][C]48.441[/C][C]48.373430420001[/C][C]0.103674853234862[/C][C]0.067569579999054[/C][C]0.323759240271622[/C][/ROW]
[ROW][C]106[/C][C]44.928[/C][C]45.2325615782222[/C][C]0.101227260901004[/C][C]-0.304561578222195[/C][C]-1.61675388520215[/C][/ROW]
[ROW][C]107[/C][C]40.454[/C][C]40.0114636245423[/C][C]0.0983924669917763[/C][C]0.442536375457702[/C][C]-2.65173095359341[/C][/ROW]
[ROW][C]108[/C][C]38.661[/C][C]39.6026547363296[/C][C]0.0988202776637635[/C][C]-0.941654736329599[/C][C]-0.25279138949226[/C][/ROW]
[ROW][C]109[/C][C]37.246[/C][C]37.9778484695249[/C][C]0.102952532251004[/C][C]-0.731848469524935[/C][C]-0.86725216118386[/C][/ROW]
[ROW][C]110[/C][C]36.843[/C][C]36.747907519259[/C][C]0.098911349919139[/C][C]0.095092480741027[/C][C]-0.654819903327935[/C][/ROW]
[ROW][C]111[/C][C]36.424[/C][C]36.2338444465202[/C][C]0.0974023940775287[/C][C]0.190155553479785[/C][C]-0.304383715163824[/C][/ROW]
[ROW][C]112[/C][C]37.594[/C][C]37.4893568446904[/C][C]0.09855331808338[/C][C]0.104643155309554[/C][C]0.577077004618419[/C][/ROW]
[ROW][C]113[/C][C]38.144[/C][C]38.0581466552093[/C][C]0.098816286854047[/C][C]0.085853344790697[/C][C]0.23429936587532[/C][/ROW]
[ROW][C]114[/C][C]38.737[/C][C]38.4396776035899[/C][C]0.098977935974731[/C][C]0.297322396410068[/C][C]0.140856960817298[/C][/ROW]
[ROW][C]115[/C][C]34.56[/C][C]35.0551072477973[/C][C]0.0968166721082219[/C][C]-0.495107247797342[/C][C]-1.73558239239217[/C][/ROW]
[ROW][C]116[/C][C]36.08[/C][C]35.5900151816737[/C][C]0.0970992413197338[/C][C]0.48998481832627[/C][C]0.218268385291336[/C][/ROW]
[ROW][C]117[/C][C]33.508[/C][C]33.438399361223[/C][C]0.0955615983272436[/C][C]0.069600638776962[/C][C]-1.12042062354352[/C][/ROW]
[ROW][C]118[/C][C]35.462[/C][C]35.3514469552597[/C][C]0.0968745682160113[/C][C]0.110553044740315[/C][C]0.905646895073373[/C][/ROW]
[ROW][C]119[/C][C]33.374[/C][C]33.0799955217435[/C][C]0.0958279099609008[/C][C]0.294004478256498[/C][C]-1.17988727367723[/C][/ROW]
[ROW][C]120[/C][C]32.11[/C][C]32.9531586295061[/C][C]0.0960177339827477[/C][C]-0.84315862950613[/C][C]-0.110990305592535[/C][/ROW]
[ROW][C]121[/C][C]35.533[/C][C]35.9287525195475[/C][C]0.0904264368125662[/C][C]-0.395752519547451[/C][C]1.44573950220552[/C][/ROW]
[ROW][C]122[/C][C]35.532[/C][C]35.4357404751158[/C][C]0.0888970567963246[/C][C]0.0962595248841726[/C][C]-0.287280108026436[/C][/ROW]
[ROW][C]123[/C][C]37.903[/C][C]37.6586767372394[/C][C]0.093936992613787[/C][C]0.244323262760579[/C][C]1.05954528704126[/C][/ROW]
[ROW][C]124[/C][C]36.763[/C][C]36.790520623728[/C][C]0.0929404822125309[/C][C]-0.0275206237279602[/C][C]-0.479378506139735[/C][/ROW]
[ROW][C]125[/C][C]40.399[/C][C]40.1561955509529[/C][C]0.0947764185989582[/C][C]0.242804449047077[/C][C]1.63067610487277[/C][/ROW]
[ROW][C]126[/C][C]44.164[/C][C]43.5089887060069[/C][C]0.096552228270283[/C][C]0.655011293993074[/C][C]1.62323412905553[/C][/ROW]
[ROW][C]127[/C][C]44.496[/C][C]44.9893783158999[/C][C]0.0973743951541975[/C][C]-0.493378315899908[/C][C]0.689452801972381[/C][/ROW]
[ROW][C]128[/C][C]43.11[/C][C]42.6751349623194[/C][C]0.0958616434515005[/C][C]0.434865037680559[/C][C]-1.20152276271583[/C][/ROW]
[ROW][C]129[/C][C]43.88[/C][C]43.8455611493993[/C][C]0.0965826336421074[/C][C]0.0344388506006841[/C][C]0.535402301943424[/C][/ROW]
[ROW][C]130[/C][C]43.93[/C][C]43.6898132956133[/C][C]0.0964084907593665[/C][C]0.240186704386738[/C][C]-0.125734131948606[/C][/ROW]
[ROW][C]131[/C][C]44.327[/C][C]43.9867366754996[/C][C]0.0964810711281457[/C][C]0.340263324500412[/C][C]0.099889741767247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114466&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114466&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
127.95127.951000
229.78129.6822811098470.09483605851600120.09871889015296940.518364563652692
332.91432.76859503639410.1099525829399110.1454049636059291.49315548015417
433.48833.3822668582520.1119105529548030.1057331417479640.251395246675409
535.65235.5089626516780.1200633411958560.1430373483220131.00552305294813
636.48836.36421147370430.1230317821418660.1237885262956840.366907814039052
735.38735.28679684120590.1182049680705050.100203158794136-0.599100089596232
835.67635.55040283135560.1187872564910370.1255971686444180.0725639038726732
934.84434.74107064691330.1150852343998780.102929353086717-0.46318410982435
1032.44732.36888369426320.105203580675850.0781163057367885-1.24127990564956
1131.06830.97699082306820.099279320635330.0910091769318152-0.74712427645299
1229.0128.93949799485310.0908570854964050.0705020051469073-1.06634555674936
1329.81230.22624125522080.0405278302552807-0.4142412552208350.718694520082875
1430.95130.91829081481140.05602842043037590.03270918518858180.277683164829393
1532.97432.83578091351290.06202526410059670.1382190864870880.927961227345693
1632.93632.91649974542340.06205744602244280.01950025457664780.00931968735363885
1734.01233.91682512084520.06384114610689130.09517487915484920.467767371475215
1832.94632.90138850673580.06176801063623010.0446114932641551-0.538066481662104
1931.94831.92823587082140.05978490043976780.0197641291786356-0.515951786143689
2030.59930.55947560451060.05705319418246380.0395243954893861-0.712189014564385
2127.69127.685908398720.05146063683465870.00509160128004148-1.46103283830045
2225.07325.08368181848330.0463973732317297-0.0106818184833299-1.32297207574768
2323.40623.36146832583740.04289461066490280.0445316741626302-0.88179380265044
2422.24822.2519880513730.0411954024912845-0.00398805137295444-0.574327773773983
2522.89623.12021289197010.0254455071084178-0.2242128919701270.451693759319038
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3420.7820.82543844766620.0522786131586113-0.0454384476662017-1.3381196983024
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11036.84336.7479075192590.0989113499191390.095092480741027-0.654819903327935
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12540.39940.15619555095290.09477641859895820.2428044490470771.63067610487277
12644.16443.50898870600690.0965522282702830.6550112939930741.62323412905553
12744.49644.98937831589990.0973743951541975-0.4933783158999080.689452801972381
12843.1142.67513496231940.09586164345150050.434865037680559-1.20152276271583
12943.8843.84556114939930.09658263364210740.03443885060068410.535402301943424
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13144.32743.98673667549960.09648107112814570.3402633245004120.099889741767247



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