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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, 15 Dec 2014 08:32:32 +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/2014/Dec/15/t1418632410u4r8slctod8zq4r.htm/, Retrieved Thu, 16 May 2024 07:22:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267955, Retrieved Thu, 16 May 2024 07:22:56 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2014-12-15 08:32:32] [6baf0af87d9d8aa2cb91b54f39a0a5b0] [Current]
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Dataseries X:
50
62
54
71
54
65
73
52
84
42
66
65
78
73
75
72
66
70
61
81
71
69
71
72
68
70
68
61
67
76
70
60
72
69
71
62
70
64
58
76
52
59
68
76
65
67
59
69
76
63
75
63
60
73
63
70
75
66
63
63
64
70
75
61
60
62
73
61
66
64
59
64
60
56
78
53
67
59
66
68
71
66
73
72
71
59
64
66
78
68
73
62
65
68
65
60
71
65
68
64
74
69
76
68
72
67
63
59
73
66
62
69
66




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267955&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267955&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267955&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'George Udny Yule' @ yule.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
15050000
26252.2640505381410.2677946540426393.588938923012721.69057216085132
35453.48325101225260.396274902102389-0.7994005099401910.412428800542861
47158.78284434811420.956800368784595.607439899840972.09765252525481
55458.53762631426170.841501047272089-2.79601038031692-0.5448837770728
66560.47424979308150.931301087571442.826642846475310.524265220337947
77364.26360016194811.136169170722294.059278265592021.42809869412619
85262.2020628625990.93166529948761-4.75402730914885-1.65075634372702
98467.51848235457061.186215638213348.780185355367992.32030370298199
104262.66680585086890.863491886024651-9.81302648346806-3.25620462113348
116663.01767765407660.8379757703053283.92045418517376-0.280532353367994
126563.8506529246830.8377418527261761.15862747713256-0.00276813146827898
137868.20261122765410.6516217774011230.9124952891925722.76436280372689
147370.27246066742220.6871327431669710.212748607205360.794017437730091
157573.03261666074160.780682347264382-1.184859862874471.02923367203463
167272.38878948203220.7131704643234271.77953136487671-0.712694743724006
176672.14423345946850.670360349940269-4.62421092792691-0.497308160986715
187071.75284069433170.6267899481598580.00200112058743684-0.570672442086876
196168.62494523279710.485372208209892-1.22436971887463-2.07121879521418
208172.49093370220880.6032848912918982.61695766561831.89978579436025
217170.69044686168060.5248513937664974.56600984852731-1.36878569699753
226972.4281139866450.562052878212816-5.601476666714890.697422790082822
237172.13052032076720.5377316278782050.427564600248747-0.498724776940967
247272.78118161364320.540282531025722-0.9901727632893530.066553701338004
256872.34073516383430.541401859160076-2.3616128339348-0.632304716448537
267072.21125509338860.530693899548153-0.981146159337069-0.396325029708095
276871.55486875161420.498372817713842-1.54254193817574-0.6579615278354
286168.85460822749080.399218928792493-2.54134443796809-1.74948545339877
296768.93433777481930.389284973982421-1.39838419476008-0.176587939801006
307670.21698712039340.4158706771256624.256946007036040.501874012426404
317071.31717150368940.435065685444269-2.506568284508070.390233533940312
326068.64827838278150.35318224990146-3.17667983012239-1.79135353288845
337268.33318113246020.3365973135556824.85795276339221-0.389241246943343
346969.60454958943340.358254945663362-2.28611507840020.548498031707755
357170.19091852731350.3630167133979810.39476964227630.134829747119901
366268.84477525236840.334489541264168-3.69454690221056-1.02203983748329
377069.18605120642740.3345523849015620.8010789633249950.0041696578443332
386468.1972255757060.315161497648039-1.77200246240949-0.788519491771616
395865.93918703241660.262507452883909-3.40683021993104-1.48398888985806
407668.27891521107580.3111870593744434.125390099013011.18291561082264
415265.87215022906590.24528196807256-9.16599965430925-1.55068120352125
425963.30474946499880.1780826360799460.605871943862464-1.61749771561265
436863.95435496574910.1889323244436583.213990331545350.273623385675201
447667.16321103456170.2551489442165683.459495312598581.76676750096092
456566.58312808162660.237829615155422-0.0837046807790149-0.491955383044203
466767.1571637527190.24433709935138-0.7650779484492730.199154675313612
475965.41588495146270.209499798845293-2.79965115858374-1.18267768913616
486966.56030080585430.22353825317440.7219715449464990.560798877128118
497668.20957586785330.241115783535445.145433895061330.862578170955439
506367.60141458921830.228893717429897-3.04873002825777-0.507151332429666
517569.94377877014830.2657263673904181.271387682874591.2406132860429
526367.75059545446420.217908412650958-0.399807102738913-1.43037905665389
536067.50443840233530.20849208790832-6.68514669747357-0.269740259268417
547368.76870141908960.2299407261383642.360476508608040.616050389551227
556367.70147829856670.204175404923113-2.38893651934186-0.76109021958356
567067.29503651302380.1924839853820253.80053929907892-0.36025019672948
577568.86324392252570.2176037146852643.653796768243010.815606275544844
586668.62223108775190.209717046616012-1.7900903521442-0.27303566444651
596368.37705760047470.202480813894811-4.54750547407379-0.271870894403745
606367.44549872267930.186112958312916-2.36694411589459-0.680508157676866
616465.62612546859480.1593599831467462.06183744980937-1.20669205828338
627067.02593310215080.1770369829394590.7092314603981540.741614224199177
637568.29193014809040.1943369486145244.741984618561910.644994575257118
646167.20506889386890.172315030233019-3.90988237797426-0.75433583119977
656067.12408182877120.167788691597508-6.67140861209583-0.148936863823509
666265.51175240025620.135723284473392-0.325515044219056-1.04863923913647
677367.25434929993420.1642977837504812.859053313091320.949783332572864
686165.77228232014890.135800248405199-1.80209290925496-0.976728605510785
696664.81067780838490.1175068276646533.17739404768319-0.653285243077834
706464.74024733048070.114519125720229-0.398483898792929-0.112214677540471
715964.29888073262650.10616897992906-4.28453860973381-0.332791796824525
726464.45992216621770.106945749649652-0.5603411725674420.0329254447127728
736063.44804982480420.0916621894673037-1.3983185959493-0.671854801964482
745661.77538773878330.0667706455460078-2.55549191148164-1.05583484393888
757863.54824685355490.092393352561302211.35766368916991.01562897058415
765362.42728398505930.073172753201-7.23763631959643-0.719549371506101
776764.30159545987070.102600182895123-0.5455084577862671.0668041913443
785963.7858444886130.0924004437423638-3.67149196488432-0.366573362730433
796663.33355717357630.08347872194891463.6501875136407-0.323573359265489
806864.39804939540340.09924157087096041.825159613537820.584207060324598
817165.22969185785330.1106810202741934.439976732399170.43719005183746
826665.55806446952330.1139631646581880.04547376990679330.130218375729563
837367.92912464362030.1466776065133970.95081353644271.35254548691766
847269.11588456086260.16121380027850.9823398030857980.624076377120872
857169.924071460630.170095590935324-0.1074461443551820.388263591102549
865968.77435720875440.151663665689544-7.3656240541411-0.790481963232066
876465.42641272548740.1009668836700244.93738991875399-2.08966073115783
886666.71468527550680.118779376033418-2.867033344866780.707242008490973
897869.2277601643920.1555276300721464.438211324943681.42484967819869
906870.23389827456880.16869642002645-3.773922235414670.506410187399333
917370.57945806637770.1714245024731142.099909601138380.105429806148904
926268.89607177995670.143193276043885-3.52726559095122-1.10746403803088
936567.25026287335450.1165163692957931.0054054207839-1.06990327475715
946867.54538895360370.1191132316921230.1289817723091180.106970727987044
956567.0787646660820.110822260529417-1.0092623381555-0.351217022976011
966065.44209679415010.0866408899674353-2.24809467762022-1.04862804521254
977166.00568292870830.09317633458904854.122505856952390.286198022262569
986566.99913223309780.105631358038985-3.642587813138040.539585193218873
996866.75459322785780.1006800015895031.88326903631578-0.209497626233439
1006467.16600889564260.10517428007735-3.730937255014260.185621469364554
1017467.82884661672590.1133703501208665.158339036839710.33289790391041
1026968.86040710744360.126958925678017-1.528033566378210.548216242603793
1037669.73241242966350.1379648696594064.913341500690260.445189540531757
1046870.04883067494670.140577193429194-2.37359470490810.106745547629625
1057270.3541516596670.1429542676940731.34563575194440.098653085159007
1066769.6647346360050.131153991929697-1.14602879939865-0.498936999191907
1076368.327844313440.110713194811214-2.64661706002766-0.880658891230358
1085966.90537289996830.0896688807654986-5.10342491858102-0.920163492535984
1097367.23487167352770.09294181074902795.326831007377790.143929073916892
1106667.79402251015360.0993393098703469-2.645355298619140.279584923684458
1116266.53657484224320.080473880709939-2.06220289650828-0.812773266339142
1126967.74685397221780.0964127722544779-0.8047601180826990.676150342815966
1136666.79450606585140.08145418586264281.11445178656654-0.627349561926504

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 50 & 50 & 0 & 0 & 0 \tabularnewline
2 & 62 & 52.264050538141 & 0.267794654042639 & 3.58893892301272 & 1.69057216085132 \tabularnewline
3 & 54 & 53.4832510122526 & 0.396274902102389 & -0.799400509940191 & 0.412428800542861 \tabularnewline
4 & 71 & 58.7828443481142 & 0.95680036878459 & 5.60743989984097 & 2.09765252525481 \tabularnewline
5 & 54 & 58.5376263142617 & 0.841501047272089 & -2.79601038031692 & -0.5448837770728 \tabularnewline
6 & 65 & 60.4742497930815 & 0.93130108757144 & 2.82664284647531 & 0.524265220337947 \tabularnewline
7 & 73 & 64.2636001619481 & 1.13616917072229 & 4.05927826559202 & 1.42809869412619 \tabularnewline
8 & 52 & 62.202062862599 & 0.93166529948761 & -4.75402730914885 & -1.65075634372702 \tabularnewline
9 & 84 & 67.5184823545706 & 1.18621563821334 & 8.78018535536799 & 2.32030370298199 \tabularnewline
10 & 42 & 62.6668058508689 & 0.863491886024651 & -9.81302648346806 & -3.25620462113348 \tabularnewline
11 & 66 & 63.0176776540766 & 0.837975770305328 & 3.92045418517376 & -0.280532353367994 \tabularnewline
12 & 65 & 63.850652924683 & 0.837741852726176 & 1.15862747713256 & -0.00276813146827898 \tabularnewline
13 & 78 & 68.2026112276541 & 0.651621777401123 & 0.912495289192572 & 2.76436280372689 \tabularnewline
14 & 73 & 70.2724606674222 & 0.687132743166971 & 0.21274860720536 & 0.794017437730091 \tabularnewline
15 & 75 & 73.0326166607416 & 0.780682347264382 & -1.18485986287447 & 1.02923367203463 \tabularnewline
16 & 72 & 72.3887894820322 & 0.713170464323427 & 1.77953136487671 & -0.712694743724006 \tabularnewline
17 & 66 & 72.1442334594685 & 0.670360349940269 & -4.62421092792691 & -0.497308160986715 \tabularnewline
18 & 70 & 71.7528406943317 & 0.626789948159858 & 0.00200112058743684 & -0.570672442086876 \tabularnewline
19 & 61 & 68.6249452327971 & 0.485372208209892 & -1.22436971887463 & -2.07121879521418 \tabularnewline
20 & 81 & 72.4909337022088 & 0.603284891291898 & 2.6169576656183 & 1.89978579436025 \tabularnewline
21 & 71 & 70.6904468616806 & 0.524851393766497 & 4.56600984852731 & -1.36878569699753 \tabularnewline
22 & 69 & 72.428113986645 & 0.562052878212816 & -5.60147666671489 & 0.697422790082822 \tabularnewline
23 & 71 & 72.1305203207672 & 0.537731627878205 & 0.427564600248747 & -0.498724776940967 \tabularnewline
24 & 72 & 72.7811816136432 & 0.540282531025722 & -0.990172763289353 & 0.066553701338004 \tabularnewline
25 & 68 & 72.3407351638343 & 0.541401859160076 & -2.3616128339348 & -0.632304716448537 \tabularnewline
26 & 70 & 72.2112550933886 & 0.530693899548153 & -0.981146159337069 & -0.396325029708095 \tabularnewline
27 & 68 & 71.5548687516142 & 0.498372817713842 & -1.54254193817574 & -0.6579615278354 \tabularnewline
28 & 61 & 68.8546082274908 & 0.399218928792493 & -2.54134443796809 & -1.74948545339877 \tabularnewline
29 & 67 & 68.9343377748193 & 0.389284973982421 & -1.39838419476008 & -0.176587939801006 \tabularnewline
30 & 76 & 70.2169871203934 & 0.415870677125662 & 4.25694600703604 & 0.501874012426404 \tabularnewline
31 & 70 & 71.3171715036894 & 0.435065685444269 & -2.50656828450807 & 0.390233533940312 \tabularnewline
32 & 60 & 68.6482783827815 & 0.35318224990146 & -3.17667983012239 & -1.79135353288845 \tabularnewline
33 & 72 & 68.3331811324602 & 0.336597313555682 & 4.85795276339221 & -0.389241246943343 \tabularnewline
34 & 69 & 69.6045495894334 & 0.358254945663362 & -2.2861150784002 & 0.548498031707755 \tabularnewline
35 & 71 & 70.1909185273135 & 0.363016713397981 & 0.3947696422763 & 0.134829747119901 \tabularnewline
36 & 62 & 68.8447752523684 & 0.334489541264168 & -3.69454690221056 & -1.02203983748329 \tabularnewline
37 & 70 & 69.1860512064274 & 0.334552384901562 & 0.801078963324995 & 0.0041696578443332 \tabularnewline
38 & 64 & 68.197225575706 & 0.315161497648039 & -1.77200246240949 & -0.788519491771616 \tabularnewline
39 & 58 & 65.9391870324166 & 0.262507452883909 & -3.40683021993104 & -1.48398888985806 \tabularnewline
40 & 76 & 68.2789152110758 & 0.311187059374443 & 4.12539009901301 & 1.18291561082264 \tabularnewline
41 & 52 & 65.8721502290659 & 0.24528196807256 & -9.16599965430925 & -1.55068120352125 \tabularnewline
42 & 59 & 63.3047494649988 & 0.178082636079946 & 0.605871943862464 & -1.61749771561265 \tabularnewline
43 & 68 & 63.9543549657491 & 0.188932324443658 & 3.21399033154535 & 0.273623385675201 \tabularnewline
44 & 76 & 67.1632110345617 & 0.255148944216568 & 3.45949531259858 & 1.76676750096092 \tabularnewline
45 & 65 & 66.5831280816266 & 0.237829615155422 & -0.0837046807790149 & -0.491955383044203 \tabularnewline
46 & 67 & 67.157163752719 & 0.24433709935138 & -0.765077948449273 & 0.199154675313612 \tabularnewline
47 & 59 & 65.4158849514627 & 0.209499798845293 & -2.79965115858374 & -1.18267768913616 \tabularnewline
48 & 69 & 66.5603008058543 & 0.2235382531744 & 0.721971544946499 & 0.560798877128118 \tabularnewline
49 & 76 & 68.2095758678533 & 0.24111578353544 & 5.14543389506133 & 0.862578170955439 \tabularnewline
50 & 63 & 67.6014145892183 & 0.228893717429897 & -3.04873002825777 & -0.507151332429666 \tabularnewline
51 & 75 & 69.9437787701483 & 0.265726367390418 & 1.27138768287459 & 1.2406132860429 \tabularnewline
52 & 63 & 67.7505954544642 & 0.217908412650958 & -0.399807102738913 & -1.43037905665389 \tabularnewline
53 & 60 & 67.5044384023353 & 0.20849208790832 & -6.68514669747357 & -0.269740259268417 \tabularnewline
54 & 73 & 68.7687014190896 & 0.229940726138364 & 2.36047650860804 & 0.616050389551227 \tabularnewline
55 & 63 & 67.7014782985667 & 0.204175404923113 & -2.38893651934186 & -0.76109021958356 \tabularnewline
56 & 70 & 67.2950365130238 & 0.192483985382025 & 3.80053929907892 & -0.36025019672948 \tabularnewline
57 & 75 & 68.8632439225257 & 0.217603714685264 & 3.65379676824301 & 0.815606275544844 \tabularnewline
58 & 66 & 68.6222310877519 & 0.209717046616012 & -1.7900903521442 & -0.27303566444651 \tabularnewline
59 & 63 & 68.3770576004747 & 0.202480813894811 & -4.54750547407379 & -0.271870894403745 \tabularnewline
60 & 63 & 67.4454987226793 & 0.186112958312916 & -2.36694411589459 & -0.680508157676866 \tabularnewline
61 & 64 & 65.6261254685948 & 0.159359983146746 & 2.06183744980937 & -1.20669205828338 \tabularnewline
62 & 70 & 67.0259331021508 & 0.177036982939459 & 0.709231460398154 & 0.741614224199177 \tabularnewline
63 & 75 & 68.2919301480904 & 0.194336948614524 & 4.74198461856191 & 0.644994575257118 \tabularnewline
64 & 61 & 67.2050688938689 & 0.172315030233019 & -3.90988237797426 & -0.75433583119977 \tabularnewline
65 & 60 & 67.1240818287712 & 0.167788691597508 & -6.67140861209583 & -0.148936863823509 \tabularnewline
66 & 62 & 65.5117524002562 & 0.135723284473392 & -0.325515044219056 & -1.04863923913647 \tabularnewline
67 & 73 & 67.2543492999342 & 0.164297783750481 & 2.85905331309132 & 0.949783332572864 \tabularnewline
68 & 61 & 65.7722823201489 & 0.135800248405199 & -1.80209290925496 & -0.976728605510785 \tabularnewline
69 & 66 & 64.8106778083849 & 0.117506827664653 & 3.17739404768319 & -0.653285243077834 \tabularnewline
70 & 64 & 64.7402473304807 & 0.114519125720229 & -0.398483898792929 & -0.112214677540471 \tabularnewline
71 & 59 & 64.2988807326265 & 0.10616897992906 & -4.28453860973381 & -0.332791796824525 \tabularnewline
72 & 64 & 64.4599221662177 & 0.106945749649652 & -0.560341172567442 & 0.0329254447127728 \tabularnewline
73 & 60 & 63.4480498248042 & 0.0916621894673037 & -1.3983185959493 & -0.671854801964482 \tabularnewline
74 & 56 & 61.7753877387833 & 0.0667706455460078 & -2.55549191148164 & -1.05583484393888 \tabularnewline
75 & 78 & 63.5482468535549 & 0.0923933525613022 & 11.3576636891699 & 1.01562897058415 \tabularnewline
76 & 53 & 62.4272839850593 & 0.073172753201 & -7.23763631959643 & -0.719549371506101 \tabularnewline
77 & 67 & 64.3015954598707 & 0.102600182895123 & -0.545508457786267 & 1.0668041913443 \tabularnewline
78 & 59 & 63.785844488613 & 0.0924004437423638 & -3.67149196488432 & -0.366573362730433 \tabularnewline
79 & 66 & 63.3335571735763 & 0.0834787219489146 & 3.6501875136407 & -0.323573359265489 \tabularnewline
80 & 68 & 64.3980493954034 & 0.0992415708709604 & 1.82515961353782 & 0.584207060324598 \tabularnewline
81 & 71 & 65.2296918578533 & 0.110681020274193 & 4.43997673239917 & 0.43719005183746 \tabularnewline
82 & 66 & 65.5580644695233 & 0.113963164658188 & 0.0454737699067933 & 0.130218375729563 \tabularnewline
83 & 73 & 67.9291246436203 & 0.146677606513397 & 0.9508135364427 & 1.35254548691766 \tabularnewline
84 & 72 & 69.1158845608626 & 0.1612138002785 & 0.982339803085798 & 0.624076377120872 \tabularnewline
85 & 71 & 69.92407146063 & 0.170095590935324 & -0.107446144355182 & 0.388263591102549 \tabularnewline
86 & 59 & 68.7743572087544 & 0.151663665689544 & -7.3656240541411 & -0.790481963232066 \tabularnewline
87 & 64 & 65.4264127254874 & 0.100966883670024 & 4.93738991875399 & -2.08966073115783 \tabularnewline
88 & 66 & 66.7146852755068 & 0.118779376033418 & -2.86703334486678 & 0.707242008490973 \tabularnewline
89 & 78 & 69.227760164392 & 0.155527630072146 & 4.43821132494368 & 1.42484967819869 \tabularnewline
90 & 68 & 70.2338982745688 & 0.16869642002645 & -3.77392223541467 & 0.506410187399333 \tabularnewline
91 & 73 & 70.5794580663777 & 0.171424502473114 & 2.09990960113838 & 0.105429806148904 \tabularnewline
92 & 62 & 68.8960717799567 & 0.143193276043885 & -3.52726559095122 & -1.10746403803088 \tabularnewline
93 & 65 & 67.2502628733545 & 0.116516369295793 & 1.0054054207839 & -1.06990327475715 \tabularnewline
94 & 68 & 67.5453889536037 & 0.119113231692123 & 0.128981772309118 & 0.106970727987044 \tabularnewline
95 & 65 & 67.078764666082 & 0.110822260529417 & -1.0092623381555 & -0.351217022976011 \tabularnewline
96 & 60 & 65.4420967941501 & 0.0866408899674353 & -2.24809467762022 & -1.04862804521254 \tabularnewline
97 & 71 & 66.0056829287083 & 0.0931763345890485 & 4.12250585695239 & 0.286198022262569 \tabularnewline
98 & 65 & 66.9991322330978 & 0.105631358038985 & -3.64258781313804 & 0.539585193218873 \tabularnewline
99 & 68 & 66.7545932278578 & 0.100680001589503 & 1.88326903631578 & -0.209497626233439 \tabularnewline
100 & 64 & 67.1660088956426 & 0.10517428007735 & -3.73093725501426 & 0.185621469364554 \tabularnewline
101 & 74 & 67.8288466167259 & 0.113370350120866 & 5.15833903683971 & 0.33289790391041 \tabularnewline
102 & 69 & 68.8604071074436 & 0.126958925678017 & -1.52803356637821 & 0.548216242603793 \tabularnewline
103 & 76 & 69.7324124296635 & 0.137964869659406 & 4.91334150069026 & 0.445189540531757 \tabularnewline
104 & 68 & 70.0488306749467 & 0.140577193429194 & -2.3735947049081 & 0.106745547629625 \tabularnewline
105 & 72 & 70.354151659667 & 0.142954267694073 & 1.3456357519444 & 0.098653085159007 \tabularnewline
106 & 67 & 69.664734636005 & 0.131153991929697 & -1.14602879939865 & -0.498936999191907 \tabularnewline
107 & 63 & 68.32784431344 & 0.110713194811214 & -2.64661706002766 & -0.880658891230358 \tabularnewline
108 & 59 & 66.9053728999683 & 0.0896688807654986 & -5.10342491858102 & -0.920163492535984 \tabularnewline
109 & 73 & 67.2348716735277 & 0.0929418107490279 & 5.32683100737779 & 0.143929073916892 \tabularnewline
110 & 66 & 67.7940225101536 & 0.0993393098703469 & -2.64535529861914 & 0.279584923684458 \tabularnewline
111 & 62 & 66.5365748422432 & 0.080473880709939 & -2.06220289650828 & -0.812773266339142 \tabularnewline
112 & 69 & 67.7468539722178 & 0.0964127722544779 & -0.804760118082699 & 0.676150342815966 \tabularnewline
113 & 66 & 66.7945060658514 & 0.0814541858626428 & 1.11445178656654 & -0.627349561926504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267955&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]50[/C][C]50[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]62[/C][C]52.264050538141[/C][C]0.267794654042639[/C][C]3.58893892301272[/C][C]1.69057216085132[/C][/ROW]
[ROW][C]3[/C][C]54[/C][C]53.4832510122526[/C][C]0.396274902102389[/C][C]-0.799400509940191[/C][C]0.412428800542861[/C][/ROW]
[ROW][C]4[/C][C]71[/C][C]58.7828443481142[/C][C]0.95680036878459[/C][C]5.60743989984097[/C][C]2.09765252525481[/C][/ROW]
[ROW][C]5[/C][C]54[/C][C]58.5376263142617[/C][C]0.841501047272089[/C][C]-2.79601038031692[/C][C]-0.5448837770728[/C][/ROW]
[ROW][C]6[/C][C]65[/C][C]60.4742497930815[/C][C]0.93130108757144[/C][C]2.82664284647531[/C][C]0.524265220337947[/C][/ROW]
[ROW][C]7[/C][C]73[/C][C]64.2636001619481[/C][C]1.13616917072229[/C][C]4.05927826559202[/C][C]1.42809869412619[/C][/ROW]
[ROW][C]8[/C][C]52[/C][C]62.202062862599[/C][C]0.93166529948761[/C][C]-4.75402730914885[/C][C]-1.65075634372702[/C][/ROW]
[ROW][C]9[/C][C]84[/C][C]67.5184823545706[/C][C]1.18621563821334[/C][C]8.78018535536799[/C][C]2.32030370298199[/C][/ROW]
[ROW][C]10[/C][C]42[/C][C]62.6668058508689[/C][C]0.863491886024651[/C][C]-9.81302648346806[/C][C]-3.25620462113348[/C][/ROW]
[ROW][C]11[/C][C]66[/C][C]63.0176776540766[/C][C]0.837975770305328[/C][C]3.92045418517376[/C][C]-0.280532353367994[/C][/ROW]
[ROW][C]12[/C][C]65[/C][C]63.850652924683[/C][C]0.837741852726176[/C][C]1.15862747713256[/C][C]-0.00276813146827898[/C][/ROW]
[ROW][C]13[/C][C]78[/C][C]68.2026112276541[/C][C]0.651621777401123[/C][C]0.912495289192572[/C][C]2.76436280372689[/C][/ROW]
[ROW][C]14[/C][C]73[/C][C]70.2724606674222[/C][C]0.687132743166971[/C][C]0.21274860720536[/C][C]0.794017437730091[/C][/ROW]
[ROW][C]15[/C][C]75[/C][C]73.0326166607416[/C][C]0.780682347264382[/C][C]-1.18485986287447[/C][C]1.02923367203463[/C][/ROW]
[ROW][C]16[/C][C]72[/C][C]72.3887894820322[/C][C]0.713170464323427[/C][C]1.77953136487671[/C][C]-0.712694743724006[/C][/ROW]
[ROW][C]17[/C][C]66[/C][C]72.1442334594685[/C][C]0.670360349940269[/C][C]-4.62421092792691[/C][C]-0.497308160986715[/C][/ROW]
[ROW][C]18[/C][C]70[/C][C]71.7528406943317[/C][C]0.626789948159858[/C][C]0.00200112058743684[/C][C]-0.570672442086876[/C][/ROW]
[ROW][C]19[/C][C]61[/C][C]68.6249452327971[/C][C]0.485372208209892[/C][C]-1.22436971887463[/C][C]-2.07121879521418[/C][/ROW]
[ROW][C]20[/C][C]81[/C][C]72.4909337022088[/C][C]0.603284891291898[/C][C]2.6169576656183[/C][C]1.89978579436025[/C][/ROW]
[ROW][C]21[/C][C]71[/C][C]70.6904468616806[/C][C]0.524851393766497[/C][C]4.56600984852731[/C][C]-1.36878569699753[/C][/ROW]
[ROW][C]22[/C][C]69[/C][C]72.428113986645[/C][C]0.562052878212816[/C][C]-5.60147666671489[/C][C]0.697422790082822[/C][/ROW]
[ROW][C]23[/C][C]71[/C][C]72.1305203207672[/C][C]0.537731627878205[/C][C]0.427564600248747[/C][C]-0.498724776940967[/C][/ROW]
[ROW][C]24[/C][C]72[/C][C]72.7811816136432[/C][C]0.540282531025722[/C][C]-0.990172763289353[/C][C]0.066553701338004[/C][/ROW]
[ROW][C]25[/C][C]68[/C][C]72.3407351638343[/C][C]0.541401859160076[/C][C]-2.3616128339348[/C][C]-0.632304716448537[/C][/ROW]
[ROW][C]26[/C][C]70[/C][C]72.2112550933886[/C][C]0.530693899548153[/C][C]-0.981146159337069[/C][C]-0.396325029708095[/C][/ROW]
[ROW][C]27[/C][C]68[/C][C]71.5548687516142[/C][C]0.498372817713842[/C][C]-1.54254193817574[/C][C]-0.6579615278354[/C][/ROW]
[ROW][C]28[/C][C]61[/C][C]68.8546082274908[/C][C]0.399218928792493[/C][C]-2.54134443796809[/C][C]-1.74948545339877[/C][/ROW]
[ROW][C]29[/C][C]67[/C][C]68.9343377748193[/C][C]0.389284973982421[/C][C]-1.39838419476008[/C][C]-0.176587939801006[/C][/ROW]
[ROW][C]30[/C][C]76[/C][C]70.2169871203934[/C][C]0.415870677125662[/C][C]4.25694600703604[/C][C]0.501874012426404[/C][/ROW]
[ROW][C]31[/C][C]70[/C][C]71.3171715036894[/C][C]0.435065685444269[/C][C]-2.50656828450807[/C][C]0.390233533940312[/C][/ROW]
[ROW][C]32[/C][C]60[/C][C]68.6482783827815[/C][C]0.35318224990146[/C][C]-3.17667983012239[/C][C]-1.79135353288845[/C][/ROW]
[ROW][C]33[/C][C]72[/C][C]68.3331811324602[/C][C]0.336597313555682[/C][C]4.85795276339221[/C][C]-0.389241246943343[/C][/ROW]
[ROW][C]34[/C][C]69[/C][C]69.6045495894334[/C][C]0.358254945663362[/C][C]-2.2861150784002[/C][C]0.548498031707755[/C][/ROW]
[ROW][C]35[/C][C]71[/C][C]70.1909185273135[/C][C]0.363016713397981[/C][C]0.3947696422763[/C][C]0.134829747119901[/C][/ROW]
[ROW][C]36[/C][C]62[/C][C]68.8447752523684[/C][C]0.334489541264168[/C][C]-3.69454690221056[/C][C]-1.02203983748329[/C][/ROW]
[ROW][C]37[/C][C]70[/C][C]69.1860512064274[/C][C]0.334552384901562[/C][C]0.801078963324995[/C][C]0.0041696578443332[/C][/ROW]
[ROW][C]38[/C][C]64[/C][C]68.197225575706[/C][C]0.315161497648039[/C][C]-1.77200246240949[/C][C]-0.788519491771616[/C][/ROW]
[ROW][C]39[/C][C]58[/C][C]65.9391870324166[/C][C]0.262507452883909[/C][C]-3.40683021993104[/C][C]-1.48398888985806[/C][/ROW]
[ROW][C]40[/C][C]76[/C][C]68.2789152110758[/C][C]0.311187059374443[/C][C]4.12539009901301[/C][C]1.18291561082264[/C][/ROW]
[ROW][C]41[/C][C]52[/C][C]65.8721502290659[/C][C]0.24528196807256[/C][C]-9.16599965430925[/C][C]-1.55068120352125[/C][/ROW]
[ROW][C]42[/C][C]59[/C][C]63.3047494649988[/C][C]0.178082636079946[/C][C]0.605871943862464[/C][C]-1.61749771561265[/C][/ROW]
[ROW][C]43[/C][C]68[/C][C]63.9543549657491[/C][C]0.188932324443658[/C][C]3.21399033154535[/C][C]0.273623385675201[/C][/ROW]
[ROW][C]44[/C][C]76[/C][C]67.1632110345617[/C][C]0.255148944216568[/C][C]3.45949531259858[/C][C]1.76676750096092[/C][/ROW]
[ROW][C]45[/C][C]65[/C][C]66.5831280816266[/C][C]0.237829615155422[/C][C]-0.0837046807790149[/C][C]-0.491955383044203[/C][/ROW]
[ROW][C]46[/C][C]67[/C][C]67.157163752719[/C][C]0.24433709935138[/C][C]-0.765077948449273[/C][C]0.199154675313612[/C][/ROW]
[ROW][C]47[/C][C]59[/C][C]65.4158849514627[/C][C]0.209499798845293[/C][C]-2.79965115858374[/C][C]-1.18267768913616[/C][/ROW]
[ROW][C]48[/C][C]69[/C][C]66.5603008058543[/C][C]0.2235382531744[/C][C]0.721971544946499[/C][C]0.560798877128118[/C][/ROW]
[ROW][C]49[/C][C]76[/C][C]68.2095758678533[/C][C]0.24111578353544[/C][C]5.14543389506133[/C][C]0.862578170955439[/C][/ROW]
[ROW][C]50[/C][C]63[/C][C]67.6014145892183[/C][C]0.228893717429897[/C][C]-3.04873002825777[/C][C]-0.507151332429666[/C][/ROW]
[ROW][C]51[/C][C]75[/C][C]69.9437787701483[/C][C]0.265726367390418[/C][C]1.27138768287459[/C][C]1.2406132860429[/C][/ROW]
[ROW][C]52[/C][C]63[/C][C]67.7505954544642[/C][C]0.217908412650958[/C][C]-0.399807102738913[/C][C]-1.43037905665389[/C][/ROW]
[ROW][C]53[/C][C]60[/C][C]67.5044384023353[/C][C]0.20849208790832[/C][C]-6.68514669747357[/C][C]-0.269740259268417[/C][/ROW]
[ROW][C]54[/C][C]73[/C][C]68.7687014190896[/C][C]0.229940726138364[/C][C]2.36047650860804[/C][C]0.616050389551227[/C][/ROW]
[ROW][C]55[/C][C]63[/C][C]67.7014782985667[/C][C]0.204175404923113[/C][C]-2.38893651934186[/C][C]-0.76109021958356[/C][/ROW]
[ROW][C]56[/C][C]70[/C][C]67.2950365130238[/C][C]0.192483985382025[/C][C]3.80053929907892[/C][C]-0.36025019672948[/C][/ROW]
[ROW][C]57[/C][C]75[/C][C]68.8632439225257[/C][C]0.217603714685264[/C][C]3.65379676824301[/C][C]0.815606275544844[/C][/ROW]
[ROW][C]58[/C][C]66[/C][C]68.6222310877519[/C][C]0.209717046616012[/C][C]-1.7900903521442[/C][C]-0.27303566444651[/C][/ROW]
[ROW][C]59[/C][C]63[/C][C]68.3770576004747[/C][C]0.202480813894811[/C][C]-4.54750547407379[/C][C]-0.271870894403745[/C][/ROW]
[ROW][C]60[/C][C]63[/C][C]67.4454987226793[/C][C]0.186112958312916[/C][C]-2.36694411589459[/C][C]-0.680508157676866[/C][/ROW]
[ROW][C]61[/C][C]64[/C][C]65.6261254685948[/C][C]0.159359983146746[/C][C]2.06183744980937[/C][C]-1.20669205828338[/C][/ROW]
[ROW][C]62[/C][C]70[/C][C]67.0259331021508[/C][C]0.177036982939459[/C][C]0.709231460398154[/C][C]0.741614224199177[/C][/ROW]
[ROW][C]63[/C][C]75[/C][C]68.2919301480904[/C][C]0.194336948614524[/C][C]4.74198461856191[/C][C]0.644994575257118[/C][/ROW]
[ROW][C]64[/C][C]61[/C][C]67.2050688938689[/C][C]0.172315030233019[/C][C]-3.90988237797426[/C][C]-0.75433583119977[/C][/ROW]
[ROW][C]65[/C][C]60[/C][C]67.1240818287712[/C][C]0.167788691597508[/C][C]-6.67140861209583[/C][C]-0.148936863823509[/C][/ROW]
[ROW][C]66[/C][C]62[/C][C]65.5117524002562[/C][C]0.135723284473392[/C][C]-0.325515044219056[/C][C]-1.04863923913647[/C][/ROW]
[ROW][C]67[/C][C]73[/C][C]67.2543492999342[/C][C]0.164297783750481[/C][C]2.85905331309132[/C][C]0.949783332572864[/C][/ROW]
[ROW][C]68[/C][C]61[/C][C]65.7722823201489[/C][C]0.135800248405199[/C][C]-1.80209290925496[/C][C]-0.976728605510785[/C][/ROW]
[ROW][C]69[/C][C]66[/C][C]64.8106778083849[/C][C]0.117506827664653[/C][C]3.17739404768319[/C][C]-0.653285243077834[/C][/ROW]
[ROW][C]70[/C][C]64[/C][C]64.7402473304807[/C][C]0.114519125720229[/C][C]-0.398483898792929[/C][C]-0.112214677540471[/C][/ROW]
[ROW][C]71[/C][C]59[/C][C]64.2988807326265[/C][C]0.10616897992906[/C][C]-4.28453860973381[/C][C]-0.332791796824525[/C][/ROW]
[ROW][C]72[/C][C]64[/C][C]64.4599221662177[/C][C]0.106945749649652[/C][C]-0.560341172567442[/C][C]0.0329254447127728[/C][/ROW]
[ROW][C]73[/C][C]60[/C][C]63.4480498248042[/C][C]0.0916621894673037[/C][C]-1.3983185959493[/C][C]-0.671854801964482[/C][/ROW]
[ROW][C]74[/C][C]56[/C][C]61.7753877387833[/C][C]0.0667706455460078[/C][C]-2.55549191148164[/C][C]-1.05583484393888[/C][/ROW]
[ROW][C]75[/C][C]78[/C][C]63.5482468535549[/C][C]0.0923933525613022[/C][C]11.3576636891699[/C][C]1.01562897058415[/C][/ROW]
[ROW][C]76[/C][C]53[/C][C]62.4272839850593[/C][C]0.073172753201[/C][C]-7.23763631959643[/C][C]-0.719549371506101[/C][/ROW]
[ROW][C]77[/C][C]67[/C][C]64.3015954598707[/C][C]0.102600182895123[/C][C]-0.545508457786267[/C][C]1.0668041913443[/C][/ROW]
[ROW][C]78[/C][C]59[/C][C]63.785844488613[/C][C]0.0924004437423638[/C][C]-3.67149196488432[/C][C]-0.366573362730433[/C][/ROW]
[ROW][C]79[/C][C]66[/C][C]63.3335571735763[/C][C]0.0834787219489146[/C][C]3.6501875136407[/C][C]-0.323573359265489[/C][/ROW]
[ROW][C]80[/C][C]68[/C][C]64.3980493954034[/C][C]0.0992415708709604[/C][C]1.82515961353782[/C][C]0.584207060324598[/C][/ROW]
[ROW][C]81[/C][C]71[/C][C]65.2296918578533[/C][C]0.110681020274193[/C][C]4.43997673239917[/C][C]0.43719005183746[/C][/ROW]
[ROW][C]82[/C][C]66[/C][C]65.5580644695233[/C][C]0.113963164658188[/C][C]0.0454737699067933[/C][C]0.130218375729563[/C][/ROW]
[ROW][C]83[/C][C]73[/C][C]67.9291246436203[/C][C]0.146677606513397[/C][C]0.9508135364427[/C][C]1.35254548691766[/C][/ROW]
[ROW][C]84[/C][C]72[/C][C]69.1158845608626[/C][C]0.1612138002785[/C][C]0.982339803085798[/C][C]0.624076377120872[/C][/ROW]
[ROW][C]85[/C][C]71[/C][C]69.92407146063[/C][C]0.170095590935324[/C][C]-0.107446144355182[/C][C]0.388263591102549[/C][/ROW]
[ROW][C]86[/C][C]59[/C][C]68.7743572087544[/C][C]0.151663665689544[/C][C]-7.3656240541411[/C][C]-0.790481963232066[/C][/ROW]
[ROW][C]87[/C][C]64[/C][C]65.4264127254874[/C][C]0.100966883670024[/C][C]4.93738991875399[/C][C]-2.08966073115783[/C][/ROW]
[ROW][C]88[/C][C]66[/C][C]66.7146852755068[/C][C]0.118779376033418[/C][C]-2.86703334486678[/C][C]0.707242008490973[/C][/ROW]
[ROW][C]89[/C][C]78[/C][C]69.227760164392[/C][C]0.155527630072146[/C][C]4.43821132494368[/C][C]1.42484967819869[/C][/ROW]
[ROW][C]90[/C][C]68[/C][C]70.2338982745688[/C][C]0.16869642002645[/C][C]-3.77392223541467[/C][C]0.506410187399333[/C][/ROW]
[ROW][C]91[/C][C]73[/C][C]70.5794580663777[/C][C]0.171424502473114[/C][C]2.09990960113838[/C][C]0.105429806148904[/C][/ROW]
[ROW][C]92[/C][C]62[/C][C]68.8960717799567[/C][C]0.143193276043885[/C][C]-3.52726559095122[/C][C]-1.10746403803088[/C][/ROW]
[ROW][C]93[/C][C]65[/C][C]67.2502628733545[/C][C]0.116516369295793[/C][C]1.0054054207839[/C][C]-1.06990327475715[/C][/ROW]
[ROW][C]94[/C][C]68[/C][C]67.5453889536037[/C][C]0.119113231692123[/C][C]0.128981772309118[/C][C]0.106970727987044[/C][/ROW]
[ROW][C]95[/C][C]65[/C][C]67.078764666082[/C][C]0.110822260529417[/C][C]-1.0092623381555[/C][C]-0.351217022976011[/C][/ROW]
[ROW][C]96[/C][C]60[/C][C]65.4420967941501[/C][C]0.0866408899674353[/C][C]-2.24809467762022[/C][C]-1.04862804521254[/C][/ROW]
[ROW][C]97[/C][C]71[/C][C]66.0056829287083[/C][C]0.0931763345890485[/C][C]4.12250585695239[/C][C]0.286198022262569[/C][/ROW]
[ROW][C]98[/C][C]65[/C][C]66.9991322330978[/C][C]0.105631358038985[/C][C]-3.64258781313804[/C][C]0.539585193218873[/C][/ROW]
[ROW][C]99[/C][C]68[/C][C]66.7545932278578[/C][C]0.100680001589503[/C][C]1.88326903631578[/C][C]-0.209497626233439[/C][/ROW]
[ROW][C]100[/C][C]64[/C][C]67.1660088956426[/C][C]0.10517428007735[/C][C]-3.73093725501426[/C][C]0.185621469364554[/C][/ROW]
[ROW][C]101[/C][C]74[/C][C]67.8288466167259[/C][C]0.113370350120866[/C][C]5.15833903683971[/C][C]0.33289790391041[/C][/ROW]
[ROW][C]102[/C][C]69[/C][C]68.8604071074436[/C][C]0.126958925678017[/C][C]-1.52803356637821[/C][C]0.548216242603793[/C][/ROW]
[ROW][C]103[/C][C]76[/C][C]69.7324124296635[/C][C]0.137964869659406[/C][C]4.91334150069026[/C][C]0.445189540531757[/C][/ROW]
[ROW][C]104[/C][C]68[/C][C]70.0488306749467[/C][C]0.140577193429194[/C][C]-2.3735947049081[/C][C]0.106745547629625[/C][/ROW]
[ROW][C]105[/C][C]72[/C][C]70.354151659667[/C][C]0.142954267694073[/C][C]1.3456357519444[/C][C]0.098653085159007[/C][/ROW]
[ROW][C]106[/C][C]67[/C][C]69.664734636005[/C][C]0.131153991929697[/C][C]-1.14602879939865[/C][C]-0.498936999191907[/C][/ROW]
[ROW][C]107[/C][C]63[/C][C]68.32784431344[/C][C]0.110713194811214[/C][C]-2.64661706002766[/C][C]-0.880658891230358[/C][/ROW]
[ROW][C]108[/C][C]59[/C][C]66.9053728999683[/C][C]0.0896688807654986[/C][C]-5.10342491858102[/C][C]-0.920163492535984[/C][/ROW]
[ROW][C]109[/C][C]73[/C][C]67.2348716735277[/C][C]0.0929418107490279[/C][C]5.32683100737779[/C][C]0.143929073916892[/C][/ROW]
[ROW][C]110[/C][C]66[/C][C]67.7940225101536[/C][C]0.0993393098703469[/C][C]-2.64535529861914[/C][C]0.279584923684458[/C][/ROW]
[ROW][C]111[/C][C]62[/C][C]66.5365748422432[/C][C]0.080473880709939[/C][C]-2.06220289650828[/C][C]-0.812773266339142[/C][/ROW]
[ROW][C]112[/C][C]69[/C][C]67.7468539722178[/C][C]0.0964127722544779[/C][C]-0.804760118082699[/C][C]0.676150342815966[/C][/ROW]
[ROW][C]113[/C][C]66[/C][C]66.7945060658514[/C][C]0.0814541858626428[/C][C]1.11445178656654[/C][C]-0.627349561926504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267955&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267955&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
15050000
26252.2640505381410.2677946540426393.588938923012721.69057216085132
35453.48325101225260.396274902102389-0.7994005099401910.412428800542861
47158.78284434811420.956800368784595.607439899840972.09765252525481
55458.53762631426170.841501047272089-2.79601038031692-0.5448837770728
66560.47424979308150.931301087571442.826642846475310.524265220337947
77364.26360016194811.136169170722294.059278265592021.42809869412619
85262.2020628625990.93166529948761-4.75402730914885-1.65075634372702
98467.51848235457061.186215638213348.780185355367992.32030370298199
104262.66680585086890.863491886024651-9.81302648346806-3.25620462113348
116663.01767765407660.8379757703053283.92045418517376-0.280532353367994
126563.8506529246830.8377418527261761.15862747713256-0.00276813146827898
137868.20261122765410.6516217774011230.9124952891925722.76436280372689
147370.27246066742220.6871327431669710.212748607205360.794017437730091
157573.03261666074160.780682347264382-1.184859862874471.02923367203463
167272.38878948203220.7131704643234271.77953136487671-0.712694743724006
176672.14423345946850.670360349940269-4.62421092792691-0.497308160986715
187071.75284069433170.6267899481598580.00200112058743684-0.570672442086876
196168.62494523279710.485372208209892-1.22436971887463-2.07121879521418
208172.49093370220880.6032848912918982.61695766561831.89978579436025
217170.69044686168060.5248513937664974.56600984852731-1.36878569699753
226972.4281139866450.562052878212816-5.601476666714890.697422790082822
237172.13052032076720.5377316278782050.427564600248747-0.498724776940967
247272.78118161364320.540282531025722-0.9901727632893530.066553701338004
256872.34073516383430.541401859160076-2.3616128339348-0.632304716448537
267072.21125509338860.530693899548153-0.981146159337069-0.396325029708095
276871.55486875161420.498372817713842-1.54254193817574-0.6579615278354
286168.85460822749080.399218928792493-2.54134443796809-1.74948545339877
296768.93433777481930.389284973982421-1.39838419476008-0.176587939801006
307670.21698712039340.4158706771256624.256946007036040.501874012426404
317071.31717150368940.435065685444269-2.506568284508070.390233533940312
326068.64827838278150.35318224990146-3.17667983012239-1.79135353288845
337268.33318113246020.3365973135556824.85795276339221-0.389241246943343
346969.60454958943340.358254945663362-2.28611507840020.548498031707755
357170.19091852731350.3630167133979810.39476964227630.134829747119901
366268.84477525236840.334489541264168-3.69454690221056-1.02203983748329
377069.18605120642740.3345523849015620.8010789633249950.0041696578443332
386468.1972255757060.315161497648039-1.77200246240949-0.788519491771616
395865.93918703241660.262507452883909-3.40683021993104-1.48398888985806
407668.27891521107580.3111870593744434.125390099013011.18291561082264
415265.87215022906590.24528196807256-9.16599965430925-1.55068120352125
425963.30474946499880.1780826360799460.605871943862464-1.61749771561265
436863.95435496574910.1889323244436583.213990331545350.273623385675201
447667.16321103456170.2551489442165683.459495312598581.76676750096092
456566.58312808162660.237829615155422-0.0837046807790149-0.491955383044203
466767.1571637527190.24433709935138-0.7650779484492730.199154675313612
475965.41588495146270.209499798845293-2.79965115858374-1.18267768913616
486966.56030080585430.22353825317440.7219715449464990.560798877128118
497668.20957586785330.241115783535445.145433895061330.862578170955439
506367.60141458921830.228893717429897-3.04873002825777-0.507151332429666
517569.94377877014830.2657263673904181.271387682874591.2406132860429
526367.75059545446420.217908412650958-0.399807102738913-1.43037905665389
536067.50443840233530.20849208790832-6.68514669747357-0.269740259268417
547368.76870141908960.2299407261383642.360476508608040.616050389551227
556367.70147829856670.204175404923113-2.38893651934186-0.76109021958356
567067.29503651302380.1924839853820253.80053929907892-0.36025019672948
577568.86324392252570.2176037146852643.653796768243010.815606275544844
586668.62223108775190.209717046616012-1.7900903521442-0.27303566444651
596368.37705760047470.202480813894811-4.54750547407379-0.271870894403745
606367.44549872267930.186112958312916-2.36694411589459-0.680508157676866
616465.62612546859480.1593599831467462.06183744980937-1.20669205828338
627067.02593310215080.1770369829394590.7092314603981540.741614224199177
637568.29193014809040.1943369486145244.741984618561910.644994575257118
646167.20506889386890.172315030233019-3.90988237797426-0.75433583119977
656067.12408182877120.167788691597508-6.67140861209583-0.148936863823509
666265.51175240025620.135723284473392-0.325515044219056-1.04863923913647
677367.25434929993420.1642977837504812.859053313091320.949783332572864
686165.77228232014890.135800248405199-1.80209290925496-0.976728605510785
696664.81067780838490.1175068276646533.17739404768319-0.653285243077834
706464.74024733048070.114519125720229-0.398483898792929-0.112214677540471
715964.29888073262650.10616897992906-4.28453860973381-0.332791796824525
726464.45992216621770.106945749649652-0.5603411725674420.0329254447127728
736063.44804982480420.0916621894673037-1.3983185959493-0.671854801964482
745661.77538773878330.0667706455460078-2.55549191148164-1.05583484393888
757863.54824685355490.092393352561302211.35766368916991.01562897058415
765362.42728398505930.073172753201-7.23763631959643-0.719549371506101
776764.30159545987070.102600182895123-0.5455084577862671.0668041913443
785963.7858444886130.0924004437423638-3.67149196488432-0.366573362730433
796663.33355717357630.08347872194891463.6501875136407-0.323573359265489
806864.39804939540340.09924157087096041.825159613537820.584207060324598
817165.22969185785330.1106810202741934.439976732399170.43719005183746
826665.55806446952330.1139631646581880.04547376990679330.130218375729563
837367.92912464362030.1466776065133970.95081353644271.35254548691766
847269.11588456086260.16121380027850.9823398030857980.624076377120872
857169.924071460630.170095590935324-0.1074461443551820.388263591102549
865968.77435720875440.151663665689544-7.3656240541411-0.790481963232066
876465.42641272548740.1009668836700244.93738991875399-2.08966073115783
886666.71468527550680.118779376033418-2.867033344866780.707242008490973
897869.2277601643920.1555276300721464.438211324943681.42484967819869
906870.23389827456880.16869642002645-3.773922235414670.506410187399333
917370.57945806637770.1714245024731142.099909601138380.105429806148904
926268.89607177995670.143193276043885-3.52726559095122-1.10746403803088
936567.25026287335450.1165163692957931.0054054207839-1.06990327475715
946867.54538895360370.1191132316921230.1289817723091180.106970727987044
956567.0787646660820.110822260529417-1.0092623381555-0.351217022976011
966065.44209679415010.0866408899674353-2.24809467762022-1.04862804521254
977166.00568292870830.09317633458904854.122505856952390.286198022262569
986566.99913223309780.105631358038985-3.642587813138040.539585193218873
996866.75459322785780.1006800015895031.88326903631578-0.209497626233439
1006467.16600889564260.10517428007735-3.730937255014260.185621469364554
1017467.82884661672590.1133703501208665.158339036839710.33289790391041
1026968.86040710744360.126958925678017-1.528033566378210.548216242603793
1037669.73241242966350.1379648696594064.913341500690260.445189540531757
1046870.04883067494670.140577193429194-2.37359470490810.106745547629625
1057270.3541516596670.1429542676940731.34563575194440.098653085159007
1066769.6647346360050.131153991929697-1.14602879939865-0.498936999191907
1076368.327844313440.110713194811214-2.64661706002766-0.880658891230358
1085966.90537289996830.0896688807654986-5.10342491858102-0.920163492535984
1097367.23487167352770.09294181074902795.326831007377790.143929073916892
1106667.79402251015360.0993393098703469-2.645355298619140.279584923684458
1116266.53657484224320.080473880709939-2.06220289650828-0.812773266339142
1126967.74685397221780.0964127722544779-0.8047601180826990.676150342815966
1136666.79450606585140.08145418586264281.11445178656654-0.627349561926504



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')