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Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationFri, 11 Dec 2015 15:06:25 +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/2015/Dec/11/t1449846392ecbhk88sqr47hau.htm/, Retrieved Thu, 16 May 2024 19:14:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285980, Retrieved Thu, 16 May 2024 19:14:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
87.29
88.19
89.1
89.1
103.65
127.75
125.47
125.47
109.11
100.01
95.01
85.01
86.83
86.83
86.83
86.83
100.47
111.38
105.47
102.74
105.01
96.38
94.1
86.83
92.74
93.2
95.47
96.38
99.56
120.47
123.2
114.11
120.93
102.74
101.83
95.47
100.01
100.01
98.2
100.01
103.65
114.56
134.11
131.84
113.65
107.29
102.29
94.56
97.29
98.2
95.47
100.47
116.38
117.29
140.93
120.02
111.38
108.65
105.92
99.1
101.83
102.74
102.74
105.47
108.65
139.57
110.47
118.65
120.02
109.11
108.2
101.38
106.38
108.65
107.74
105.92
129.56
139.11
125.93
123.65
118.65
110.47
110.02
100.47
104.1
106.6
105.5
107.5
117.9
136.3
156.8
135.8
130
117.5
115.8
105.5
111.6
113.2
113.1
112.5
120
147.6
149.9
131.2
134.6
122.2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285980&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285980&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285980&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'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
187.2987.29000
288.1988.13989330074390.04649900792983470.0501066992560720.0531419881565009
389.189.03077108004990.05153704529560630.06922891995010420.087922023373661
489.189.05575265655220.051435358270580.0442473434477554-0.00276494307913057
5103.65103.2133155774490.1093322679894620.4366844225506751.46869051029133
6127.75127.101391651420.2071158201504270.6486083485797632.47575931002196
7125.47125.4977503168660.199702697196108-0.0277503168655474-0.1885281922821
8125.47125.2678892190780.1979513597297770.20211078092206-0.0447239614359152
9109.11109.3479710664390.132505344446583-0.237971066439332-1.67809583022879
10100.01100.0097443633490.0942052842255220.000255636651214142-0.986027959870362
1195.0194.98137117055270.07357278838577760.0286288294472626-0.533323703778959
1285.0185.16551251846070.0339003632307784-0.155512518460676-1.02960395678013
1386.8386.5000419679268-0.02058817349247690.3299580320732150.16261710633553
1486.8386.8427184230633-0.012077594294681-0.01271842306333570.0324053999109561
1586.8386.7303750199467-0.01251395776477520.0996249800533323-0.0104222750528057
1686.8386.9914715441941-0.0120407614200498-0.161471544194140.0284590746404371
17100.47100.1169682763130.01358863759761820.3530317236872731.36641344320833
18111.38110.6052136294020.03468213062745210.7747863705982831.08944935821368
19105.47106.1260330660880.0256080838612825-0.656033066088187-0.469478082431191
20102.74102.515540753420.0183179906844940.224459246580452-0.37818302406329
21105.01105.0206654177060.0232920675140934-0.01066541770637110.258646768870733
2296.3896.80919438069480.00676682250022247-0.429194380694797-0.856484421105989
2394.193.91895370617590.0006072485002383620.181046293824074-0.301353062004908
2486.8387.2997682515252-0.00754394199695829-0.469768251525188-0.688161975037974
2592.7491.4778785039978-0.08525288741552571.26212149600220.474848037597236
2693.293.1830215835794-0.05963169604569310.01697841642056960.170929502001228
2795.4795.1747510185178-0.05117136236378780.295248981482210.212948489008913
2896.3896.9437066480995-0.048882191875069-0.563706648099490.189273639871502
2999.5699.6322002127123-0.0452677817540059-0.07220021271226940.284629612302844
30120.47118.543450787417-0.0182285210902441.926549212582871.97106288840602
31123.2123.763904385206-0.0107083375535776-0.5639043852064160.54470899081009
32114.11114.771327479792-0.0235575902590425-0.661327479791789-0.933918063997969
33120.93120.207316484626-0.01576092561079150.7226835153735340.567672689793129
34102.74104.182350918761-0.0392158392195527-1.44235091876074-1.66466561280039
35101.83101.257053758873-0.04383614644657640.572946241127443-0.300155431133886
3695.4796.3455634794787-0.0443876818668446-0.875563479478658-0.505817105526521
37100.0198.6943389150061-0.07129475681013741.315661084993910.262179724994666
38100.01100.031956730142-0.0573619465450754-0.02195673014249680.138588084406312
3998.298.0880675638109-0.06497491149299650.111932436189108-0.19559193498215
40100.01100.287997384185-0.0623241076415452-0.2779973841851720.235512743383308
41103.65104.483715867896-0.0579419233415326-0.8337158678964780.442696747569098
42114.56112.580403773374-0.04853806320214471.979596226626220.847795763095153
43134.11132.936915694373-0.02443832993484061.173084305627232.12141083486898
44131.84133.4043998047-0.023859111445229-1.564399804699850.0511426797692082
45113.65113.556891565957-0.04727783248878780.0931084340425754-2.06097304026004
46107.29108.597287869896-0.0534228790617386-1.30728786989555-0.510750019267825
47102.29101.749520779357-0.06231920977633760.540479220643137-0.706533234299588
4894.5695.8258188232871-0.0593769831143903-1.26581882328711-0.6091128598055
4997.2996.0137242342898-0.06125476795210441.276275765710250.0266046611324853
5098.297.9119550628591-0.04698363866028970.2880449371408840.195991725713541
5195.4795.6001678916328-0.0558561011608254-0.130167891632769-0.234564514359067
52100.47100.402512995511-0.0499353423940860.06748700448911440.505164128684627
53116.38116.332250515719-0.03587243621363020.0477494842808411.66128173191261
54117.29116.972078710021-0.03520248742839540.31792128997860.0702445935526846
55140.93138.503093624282-0.01280104852956972.426906375717632.24197361781071
56120.02122.075662810964-0.0298948149776735-2.05566281096406-1.70642695436287
57111.38111.635866349653-0.0409070361408248-0.255866349652659-1.08220787222529
58108.65109.479338553216-0.0433311897886214-0.829338553216369-0.219962904760307
59105.92105.205879658152-0.04789024751331430.714120341847688-0.439828375382696
6099.1100.634542061679-0.0440606677190003-1.53454206167904-0.470194190257118
61101.83100.688890811869-0.04459282973739521.141109188131090.0104732831545022
62102.74102.033646965164-0.03682716667364870.7063530348360180.140418563125215
63102.74102.924916237968-0.0333423391198165-0.1849162379678260.0960481117323897
64105.47106.144660131434-0.0290793119246227-0.6746601314341750.338249602224427
65108.65108.375695483605-0.02725101401289740.2743045163948760.234962780968618
66139.57138.618446939291-0.000518490488721730.9515530607087393.14670083632014
67110.47109.912684751223-0.0276407526437870.557315248776589-2.98399897119279
68118.65118.919665433881-0.018972431564475-0.2696654338814630.93917893986872
69120.02120.120343153485-0.0177627248460199-0.1003431534848720.126791142819328
70109.11110.490433161352-0.0281188391984502-1.38043316135192-0.999379623726883
71108.2107.237631663219-0.03093587759856490.962368336781441-0.335241445568329
72101.38103.140863603026-0.0267793540118426-1.76086360302563-0.422751290785601
73106.38105.107353692335-0.03468949182453431.272646307664590.210650134456844
74108.65107.743412329872-0.02287153806318540.9065876701284980.271788904502164
75107.74108.005580848744-0.02185641982287-0.2655808487443270.0294838364500275
76105.92106.747708960952-0.02359373461156-0.827708960952221-0.128509140342416
77129.56129.803675191389-0.00548490589529893-0.2436751913894592.39936732592251
78139.11135.823404644188-0.0006220272570796293.28659535581220.626335500482164
79125.93127.048406565449-0.00830787331599591-1.11840656544875-0.912097405212779
80123.65124.271820247806-0.0108163947948473-0.621820247805634-0.287764406742671
81118.65118.479376155434-0.01632997925300750.17062384456622-0.601036759509202
82110.47112.035858866495-0.0228764186854626-1.56585886649454-0.668234652042407
83110.02108.832166005863-0.02508344028148191.1878339941368-0.330638421472207
84100.47102.774759814801-0.0185084625613347-2.30475981480122-0.62737844871026
85104.1102.937250753395-0.01904540529050961.162749246605240.0190375450424648
86106.6105.338726893105-0.01034412924655141.261273106894620.247490356307481
87105.5105.454704306075-0.009920526772427630.04529569392453460.0130628354600177
88107.5109.743122629318-0.00352794293543331-2.243122629317510.446851350533304
89117.9118.0673537996330.00303735915956221-0.1673537996328710.86576732547713
90136.3131.420973780130.01310265249975364.879026219869941.38781180276302
91156.8155.9452245041050.03326588594475440.8547754958950422.54789030705079
92135.8138.0563244104230.0176913758741139-2.25632441042323-1.86299466442996
93130129.9608120990040.01016464230011110.0391879009957598-0.843421007437687
94117.5119.5325833685320.000141883452346012-2.03258336853239-1.08526457166048
95115.8114.31072636368-0.002676797076172061.48927363632032-0.542755127864281
96105.5108.1837573287780.00399524328632851-2.68375732877768-0.637057519761288
97111.6110.335942916729-0.00082346291977221.264057083271040.225200833195114
98113.2111.7100015543690.003283910088720521.489998445630680.141046977824867
99113.1113.0741465702670.007561651440371070.02585342973272570.140712219107258
100112.5115.0188626336170.0105635857787529-2.518862633616560.201357160564052
101120120.7234504139790.0151647583589326-0.7234504139785530.591965536154525
102147.6143.0123752658710.03116280880449534.587624734129072.31538135524343
103149.9147.7424096942480.03483137429159522.15759030575210.488434349656984
104131.2134.3335995369280.0235237347461506-3.13359953692783-1.39744722316827
105134.6133.7378681621010.02296279924703570.86213183789879-0.0643760275371186
106122.2124.5494385620870.0146688607817531-2.34943856208747-0.957671234366655

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 87.29 & 87.29 & 0 & 0 & 0 \tabularnewline
2 & 88.19 & 88.1398933007439 & 0.0464990079298347 & 0.050106699256072 & 0.0531419881565009 \tabularnewline
3 & 89.1 & 89.0307710800499 & 0.0515370452956063 & 0.0692289199501042 & 0.087922023373661 \tabularnewline
4 & 89.1 & 89.0557526565522 & 0.05143535827058 & 0.0442473434477554 & -0.00276494307913057 \tabularnewline
5 & 103.65 & 103.213315577449 & 0.109332267989462 & 0.436684422550675 & 1.46869051029133 \tabularnewline
6 & 127.75 & 127.10139165142 & 0.207115820150427 & 0.648608348579763 & 2.47575931002196 \tabularnewline
7 & 125.47 & 125.497750316866 & 0.199702697196108 & -0.0277503168655474 & -0.1885281922821 \tabularnewline
8 & 125.47 & 125.267889219078 & 0.197951359729777 & 0.20211078092206 & -0.0447239614359152 \tabularnewline
9 & 109.11 & 109.347971066439 & 0.132505344446583 & -0.237971066439332 & -1.67809583022879 \tabularnewline
10 & 100.01 & 100.009744363349 & 0.094205284225522 & 0.000255636651214142 & -0.986027959870362 \tabularnewline
11 & 95.01 & 94.9813711705527 & 0.0735727883857776 & 0.0286288294472626 & -0.533323703778959 \tabularnewline
12 & 85.01 & 85.1655125184607 & 0.0339003632307784 & -0.155512518460676 & -1.02960395678013 \tabularnewline
13 & 86.83 & 86.5000419679268 & -0.0205881734924769 & 0.329958032073215 & 0.16261710633553 \tabularnewline
14 & 86.83 & 86.8427184230633 & -0.012077594294681 & -0.0127184230633357 & 0.0324053999109561 \tabularnewline
15 & 86.83 & 86.7303750199467 & -0.0125139577647752 & 0.0996249800533323 & -0.0104222750528057 \tabularnewline
16 & 86.83 & 86.9914715441941 & -0.0120407614200498 & -0.16147154419414 & 0.0284590746404371 \tabularnewline
17 & 100.47 & 100.116968276313 & 0.0135886375976182 & 0.353031723687273 & 1.36641344320833 \tabularnewline
18 & 111.38 & 110.605213629402 & 0.0346821306274521 & 0.774786370598283 & 1.08944935821368 \tabularnewline
19 & 105.47 & 106.126033066088 & 0.0256080838612825 & -0.656033066088187 & -0.469478082431191 \tabularnewline
20 & 102.74 & 102.51554075342 & 0.018317990684494 & 0.224459246580452 & -0.37818302406329 \tabularnewline
21 & 105.01 & 105.020665417706 & 0.0232920675140934 & -0.0106654177063711 & 0.258646768870733 \tabularnewline
22 & 96.38 & 96.8091943806948 & 0.00676682250022247 & -0.429194380694797 & -0.856484421105989 \tabularnewline
23 & 94.1 & 93.9189537061759 & 0.000607248500238362 & 0.181046293824074 & -0.301353062004908 \tabularnewline
24 & 86.83 & 87.2997682515252 & -0.00754394199695829 & -0.469768251525188 & -0.688161975037974 \tabularnewline
25 & 92.74 & 91.4778785039978 & -0.0852528874155257 & 1.2621214960022 & 0.474848037597236 \tabularnewline
26 & 93.2 & 93.1830215835794 & -0.0596316960456931 & 0.0169784164205696 & 0.170929502001228 \tabularnewline
27 & 95.47 & 95.1747510185178 & -0.0511713623637878 & 0.29524898148221 & 0.212948489008913 \tabularnewline
28 & 96.38 & 96.9437066480995 & -0.048882191875069 & -0.56370664809949 & 0.189273639871502 \tabularnewline
29 & 99.56 & 99.6322002127123 & -0.0452677817540059 & -0.0722002127122694 & 0.284629612302844 \tabularnewline
30 & 120.47 & 118.543450787417 & -0.018228521090244 & 1.92654921258287 & 1.97106288840602 \tabularnewline
31 & 123.2 & 123.763904385206 & -0.0107083375535776 & -0.563904385206416 & 0.54470899081009 \tabularnewline
32 & 114.11 & 114.771327479792 & -0.0235575902590425 & -0.661327479791789 & -0.933918063997969 \tabularnewline
33 & 120.93 & 120.207316484626 & -0.0157609256107915 & 0.722683515373534 & 0.567672689793129 \tabularnewline
34 & 102.74 & 104.182350918761 & -0.0392158392195527 & -1.44235091876074 & -1.66466561280039 \tabularnewline
35 & 101.83 & 101.257053758873 & -0.0438361464465764 & 0.572946241127443 & -0.300155431133886 \tabularnewline
36 & 95.47 & 96.3455634794787 & -0.0443876818668446 & -0.875563479478658 & -0.505817105526521 \tabularnewline
37 & 100.01 & 98.6943389150061 & -0.0712947568101374 & 1.31566108499391 & 0.262179724994666 \tabularnewline
38 & 100.01 & 100.031956730142 & -0.0573619465450754 & -0.0219567301424968 & 0.138588084406312 \tabularnewline
39 & 98.2 & 98.0880675638109 & -0.0649749114929965 & 0.111932436189108 & -0.19559193498215 \tabularnewline
40 & 100.01 & 100.287997384185 & -0.0623241076415452 & -0.277997384185172 & 0.235512743383308 \tabularnewline
41 & 103.65 & 104.483715867896 & -0.0579419233415326 & -0.833715867896478 & 0.442696747569098 \tabularnewline
42 & 114.56 & 112.580403773374 & -0.0485380632021447 & 1.97959622662622 & 0.847795763095153 \tabularnewline
43 & 134.11 & 132.936915694373 & -0.0244383299348406 & 1.17308430562723 & 2.12141083486898 \tabularnewline
44 & 131.84 & 133.4043998047 & -0.023859111445229 & -1.56439980469985 & 0.0511426797692082 \tabularnewline
45 & 113.65 & 113.556891565957 & -0.0472778324887878 & 0.0931084340425754 & -2.06097304026004 \tabularnewline
46 & 107.29 & 108.597287869896 & -0.0534228790617386 & -1.30728786989555 & -0.510750019267825 \tabularnewline
47 & 102.29 & 101.749520779357 & -0.0623192097763376 & 0.540479220643137 & -0.706533234299588 \tabularnewline
48 & 94.56 & 95.8258188232871 & -0.0593769831143903 & -1.26581882328711 & -0.6091128598055 \tabularnewline
49 & 97.29 & 96.0137242342898 & -0.0612547679521044 & 1.27627576571025 & 0.0266046611324853 \tabularnewline
50 & 98.2 & 97.9119550628591 & -0.0469836386602897 & 0.288044937140884 & 0.195991725713541 \tabularnewline
51 & 95.47 & 95.6001678916328 & -0.0558561011608254 & -0.130167891632769 & -0.234564514359067 \tabularnewline
52 & 100.47 & 100.402512995511 & -0.049935342394086 & 0.0674870044891144 & 0.505164128684627 \tabularnewline
53 & 116.38 & 116.332250515719 & -0.0358724362136302 & 0.047749484280841 & 1.66128173191261 \tabularnewline
54 & 117.29 & 116.972078710021 & -0.0352024874283954 & 0.3179212899786 & 0.0702445935526846 \tabularnewline
55 & 140.93 & 138.503093624282 & -0.0128010485295697 & 2.42690637571763 & 2.24197361781071 \tabularnewline
56 & 120.02 & 122.075662810964 & -0.0298948149776735 & -2.05566281096406 & -1.70642695436287 \tabularnewline
57 & 111.38 & 111.635866349653 & -0.0409070361408248 & -0.255866349652659 & -1.08220787222529 \tabularnewline
58 & 108.65 & 109.479338553216 & -0.0433311897886214 & -0.829338553216369 & -0.219962904760307 \tabularnewline
59 & 105.92 & 105.205879658152 & -0.0478902475133143 & 0.714120341847688 & -0.439828375382696 \tabularnewline
60 & 99.1 & 100.634542061679 & -0.0440606677190003 & -1.53454206167904 & -0.470194190257118 \tabularnewline
61 & 101.83 & 100.688890811869 & -0.0445928297373952 & 1.14110918813109 & 0.0104732831545022 \tabularnewline
62 & 102.74 & 102.033646965164 & -0.0368271666736487 & 0.706353034836018 & 0.140418563125215 \tabularnewline
63 & 102.74 & 102.924916237968 & -0.0333423391198165 & -0.184916237967826 & 0.0960481117323897 \tabularnewline
64 & 105.47 & 106.144660131434 & -0.0290793119246227 & -0.674660131434175 & 0.338249602224427 \tabularnewline
65 & 108.65 & 108.375695483605 & -0.0272510140128974 & 0.274304516394876 & 0.234962780968618 \tabularnewline
66 & 139.57 & 138.618446939291 & -0.00051849048872173 & 0.951553060708739 & 3.14670083632014 \tabularnewline
67 & 110.47 & 109.912684751223 & -0.027640752643787 & 0.557315248776589 & -2.98399897119279 \tabularnewline
68 & 118.65 & 118.919665433881 & -0.018972431564475 & -0.269665433881463 & 0.93917893986872 \tabularnewline
69 & 120.02 & 120.120343153485 & -0.0177627248460199 & -0.100343153484872 & 0.126791142819328 \tabularnewline
70 & 109.11 & 110.490433161352 & -0.0281188391984502 & -1.38043316135192 & -0.999379623726883 \tabularnewline
71 & 108.2 & 107.237631663219 & -0.0309358775985649 & 0.962368336781441 & -0.335241445568329 \tabularnewline
72 & 101.38 & 103.140863603026 & -0.0267793540118426 & -1.76086360302563 & -0.422751290785601 \tabularnewline
73 & 106.38 & 105.107353692335 & -0.0346894918245343 & 1.27264630766459 & 0.210650134456844 \tabularnewline
74 & 108.65 & 107.743412329872 & -0.0228715380631854 & 0.906587670128498 & 0.271788904502164 \tabularnewline
75 & 107.74 & 108.005580848744 & -0.02185641982287 & -0.265580848744327 & 0.0294838364500275 \tabularnewline
76 & 105.92 & 106.747708960952 & -0.02359373461156 & -0.827708960952221 & -0.128509140342416 \tabularnewline
77 & 129.56 & 129.803675191389 & -0.00548490589529893 & -0.243675191389459 & 2.39936732592251 \tabularnewline
78 & 139.11 & 135.823404644188 & -0.000622027257079629 & 3.2865953558122 & 0.626335500482164 \tabularnewline
79 & 125.93 & 127.048406565449 & -0.00830787331599591 & -1.11840656544875 & -0.912097405212779 \tabularnewline
80 & 123.65 & 124.271820247806 & -0.0108163947948473 & -0.621820247805634 & -0.287764406742671 \tabularnewline
81 & 118.65 & 118.479376155434 & -0.0163299792530075 & 0.17062384456622 & -0.601036759509202 \tabularnewline
82 & 110.47 & 112.035858866495 & -0.0228764186854626 & -1.56585886649454 & -0.668234652042407 \tabularnewline
83 & 110.02 & 108.832166005863 & -0.0250834402814819 & 1.1878339941368 & -0.330638421472207 \tabularnewline
84 & 100.47 & 102.774759814801 & -0.0185084625613347 & -2.30475981480122 & -0.62737844871026 \tabularnewline
85 & 104.1 & 102.937250753395 & -0.0190454052905096 & 1.16274924660524 & 0.0190375450424648 \tabularnewline
86 & 106.6 & 105.338726893105 & -0.0103441292465514 & 1.26127310689462 & 0.247490356307481 \tabularnewline
87 & 105.5 & 105.454704306075 & -0.00992052677242763 & 0.0452956939245346 & 0.0130628354600177 \tabularnewline
88 & 107.5 & 109.743122629318 & -0.00352794293543331 & -2.24312262931751 & 0.446851350533304 \tabularnewline
89 & 117.9 & 118.067353799633 & 0.00303735915956221 & -0.167353799632871 & 0.86576732547713 \tabularnewline
90 & 136.3 & 131.42097378013 & 0.0131026524997536 & 4.87902621986994 & 1.38781180276302 \tabularnewline
91 & 156.8 & 155.945224504105 & 0.0332658859447544 & 0.854775495895042 & 2.54789030705079 \tabularnewline
92 & 135.8 & 138.056324410423 & 0.0176913758741139 & -2.25632441042323 & -1.86299466442996 \tabularnewline
93 & 130 & 129.960812099004 & 0.0101646423001111 & 0.0391879009957598 & -0.843421007437687 \tabularnewline
94 & 117.5 & 119.532583368532 & 0.000141883452346012 & -2.03258336853239 & -1.08526457166048 \tabularnewline
95 & 115.8 & 114.31072636368 & -0.00267679707617206 & 1.48927363632032 & -0.542755127864281 \tabularnewline
96 & 105.5 & 108.183757328778 & 0.00399524328632851 & -2.68375732877768 & -0.637057519761288 \tabularnewline
97 & 111.6 & 110.335942916729 & -0.0008234629197722 & 1.26405708327104 & 0.225200833195114 \tabularnewline
98 & 113.2 & 111.710001554369 & 0.00328391008872052 & 1.48999844563068 & 0.141046977824867 \tabularnewline
99 & 113.1 & 113.074146570267 & 0.00756165144037107 & 0.0258534297327257 & 0.140712219107258 \tabularnewline
100 & 112.5 & 115.018862633617 & 0.0105635857787529 & -2.51886263361656 & 0.201357160564052 \tabularnewline
101 & 120 & 120.723450413979 & 0.0151647583589326 & -0.723450413978553 & 0.591965536154525 \tabularnewline
102 & 147.6 & 143.012375265871 & 0.0311628088044953 & 4.58762473412907 & 2.31538135524343 \tabularnewline
103 & 149.9 & 147.742409694248 & 0.0348313742915952 & 2.1575903057521 & 0.488434349656984 \tabularnewline
104 & 131.2 & 134.333599536928 & 0.0235237347461506 & -3.13359953692783 & -1.39744722316827 \tabularnewline
105 & 134.6 & 133.737868162101 & 0.0229627992470357 & 0.86213183789879 & -0.0643760275371186 \tabularnewline
106 & 122.2 & 124.549438562087 & 0.0146688607817531 & -2.34943856208747 & -0.957671234366655 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285980&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]87.29[/C][C]87.29[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]88.19[/C][C]88.1398933007439[/C][C]0.0464990079298347[/C][C]0.050106699256072[/C][C]0.0531419881565009[/C][/ROW]
[ROW][C]3[/C][C]89.1[/C][C]89.0307710800499[/C][C]0.0515370452956063[/C][C]0.0692289199501042[/C][C]0.087922023373661[/C][/ROW]
[ROW][C]4[/C][C]89.1[/C][C]89.0557526565522[/C][C]0.05143535827058[/C][C]0.0442473434477554[/C][C]-0.00276494307913057[/C][/ROW]
[ROW][C]5[/C][C]103.65[/C][C]103.213315577449[/C][C]0.109332267989462[/C][C]0.436684422550675[/C][C]1.46869051029133[/C][/ROW]
[ROW][C]6[/C][C]127.75[/C][C]127.10139165142[/C][C]0.207115820150427[/C][C]0.648608348579763[/C][C]2.47575931002196[/C][/ROW]
[ROW][C]7[/C][C]125.47[/C][C]125.497750316866[/C][C]0.199702697196108[/C][C]-0.0277503168655474[/C][C]-0.1885281922821[/C][/ROW]
[ROW][C]8[/C][C]125.47[/C][C]125.267889219078[/C][C]0.197951359729777[/C][C]0.20211078092206[/C][C]-0.0447239614359152[/C][/ROW]
[ROW][C]9[/C][C]109.11[/C][C]109.347971066439[/C][C]0.132505344446583[/C][C]-0.237971066439332[/C][C]-1.67809583022879[/C][/ROW]
[ROW][C]10[/C][C]100.01[/C][C]100.009744363349[/C][C]0.094205284225522[/C][C]0.000255636651214142[/C][C]-0.986027959870362[/C][/ROW]
[ROW][C]11[/C][C]95.01[/C][C]94.9813711705527[/C][C]0.0735727883857776[/C][C]0.0286288294472626[/C][C]-0.533323703778959[/C][/ROW]
[ROW][C]12[/C][C]85.01[/C][C]85.1655125184607[/C][C]0.0339003632307784[/C][C]-0.155512518460676[/C][C]-1.02960395678013[/C][/ROW]
[ROW][C]13[/C][C]86.83[/C][C]86.5000419679268[/C][C]-0.0205881734924769[/C][C]0.329958032073215[/C][C]0.16261710633553[/C][/ROW]
[ROW][C]14[/C][C]86.83[/C][C]86.8427184230633[/C][C]-0.012077594294681[/C][C]-0.0127184230633357[/C][C]0.0324053999109561[/C][/ROW]
[ROW][C]15[/C][C]86.83[/C][C]86.7303750199467[/C][C]-0.0125139577647752[/C][C]0.0996249800533323[/C][C]-0.0104222750528057[/C][/ROW]
[ROW][C]16[/C][C]86.83[/C][C]86.9914715441941[/C][C]-0.0120407614200498[/C][C]-0.16147154419414[/C][C]0.0284590746404371[/C][/ROW]
[ROW][C]17[/C][C]100.47[/C][C]100.116968276313[/C][C]0.0135886375976182[/C][C]0.353031723687273[/C][C]1.36641344320833[/C][/ROW]
[ROW][C]18[/C][C]111.38[/C][C]110.605213629402[/C][C]0.0346821306274521[/C][C]0.774786370598283[/C][C]1.08944935821368[/C][/ROW]
[ROW][C]19[/C][C]105.47[/C][C]106.126033066088[/C][C]0.0256080838612825[/C][C]-0.656033066088187[/C][C]-0.469478082431191[/C][/ROW]
[ROW][C]20[/C][C]102.74[/C][C]102.51554075342[/C][C]0.018317990684494[/C][C]0.224459246580452[/C][C]-0.37818302406329[/C][/ROW]
[ROW][C]21[/C][C]105.01[/C][C]105.020665417706[/C][C]0.0232920675140934[/C][C]-0.0106654177063711[/C][C]0.258646768870733[/C][/ROW]
[ROW][C]22[/C][C]96.38[/C][C]96.8091943806948[/C][C]0.00676682250022247[/C][C]-0.429194380694797[/C][C]-0.856484421105989[/C][/ROW]
[ROW][C]23[/C][C]94.1[/C][C]93.9189537061759[/C][C]0.000607248500238362[/C][C]0.181046293824074[/C][C]-0.301353062004908[/C][/ROW]
[ROW][C]24[/C][C]86.83[/C][C]87.2997682515252[/C][C]-0.00754394199695829[/C][C]-0.469768251525188[/C][C]-0.688161975037974[/C][/ROW]
[ROW][C]25[/C][C]92.74[/C][C]91.4778785039978[/C][C]-0.0852528874155257[/C][C]1.2621214960022[/C][C]0.474848037597236[/C][/ROW]
[ROW][C]26[/C][C]93.2[/C][C]93.1830215835794[/C][C]-0.0596316960456931[/C][C]0.0169784164205696[/C][C]0.170929502001228[/C][/ROW]
[ROW][C]27[/C][C]95.47[/C][C]95.1747510185178[/C][C]-0.0511713623637878[/C][C]0.29524898148221[/C][C]0.212948489008913[/C][/ROW]
[ROW][C]28[/C][C]96.38[/C][C]96.9437066480995[/C][C]-0.048882191875069[/C][C]-0.56370664809949[/C][C]0.189273639871502[/C][/ROW]
[ROW][C]29[/C][C]99.56[/C][C]99.6322002127123[/C][C]-0.0452677817540059[/C][C]-0.0722002127122694[/C][C]0.284629612302844[/C][/ROW]
[ROW][C]30[/C][C]120.47[/C][C]118.543450787417[/C][C]-0.018228521090244[/C][C]1.92654921258287[/C][C]1.97106288840602[/C][/ROW]
[ROW][C]31[/C][C]123.2[/C][C]123.763904385206[/C][C]-0.0107083375535776[/C][C]-0.563904385206416[/C][C]0.54470899081009[/C][/ROW]
[ROW][C]32[/C][C]114.11[/C][C]114.771327479792[/C][C]-0.0235575902590425[/C][C]-0.661327479791789[/C][C]-0.933918063997969[/C][/ROW]
[ROW][C]33[/C][C]120.93[/C][C]120.207316484626[/C][C]-0.0157609256107915[/C][C]0.722683515373534[/C][C]0.567672689793129[/C][/ROW]
[ROW][C]34[/C][C]102.74[/C][C]104.182350918761[/C][C]-0.0392158392195527[/C][C]-1.44235091876074[/C][C]-1.66466561280039[/C][/ROW]
[ROW][C]35[/C][C]101.83[/C][C]101.257053758873[/C][C]-0.0438361464465764[/C][C]0.572946241127443[/C][C]-0.300155431133886[/C][/ROW]
[ROW][C]36[/C][C]95.47[/C][C]96.3455634794787[/C][C]-0.0443876818668446[/C][C]-0.875563479478658[/C][C]-0.505817105526521[/C][/ROW]
[ROW][C]37[/C][C]100.01[/C][C]98.6943389150061[/C][C]-0.0712947568101374[/C][C]1.31566108499391[/C][C]0.262179724994666[/C][/ROW]
[ROW][C]38[/C][C]100.01[/C][C]100.031956730142[/C][C]-0.0573619465450754[/C][C]-0.0219567301424968[/C][C]0.138588084406312[/C][/ROW]
[ROW][C]39[/C][C]98.2[/C][C]98.0880675638109[/C][C]-0.0649749114929965[/C][C]0.111932436189108[/C][C]-0.19559193498215[/C][/ROW]
[ROW][C]40[/C][C]100.01[/C][C]100.287997384185[/C][C]-0.0623241076415452[/C][C]-0.277997384185172[/C][C]0.235512743383308[/C][/ROW]
[ROW][C]41[/C][C]103.65[/C][C]104.483715867896[/C][C]-0.0579419233415326[/C][C]-0.833715867896478[/C][C]0.442696747569098[/C][/ROW]
[ROW][C]42[/C][C]114.56[/C][C]112.580403773374[/C][C]-0.0485380632021447[/C][C]1.97959622662622[/C][C]0.847795763095153[/C][/ROW]
[ROW][C]43[/C][C]134.11[/C][C]132.936915694373[/C][C]-0.0244383299348406[/C][C]1.17308430562723[/C][C]2.12141083486898[/C][/ROW]
[ROW][C]44[/C][C]131.84[/C][C]133.4043998047[/C][C]-0.023859111445229[/C][C]-1.56439980469985[/C][C]0.0511426797692082[/C][/ROW]
[ROW][C]45[/C][C]113.65[/C][C]113.556891565957[/C][C]-0.0472778324887878[/C][C]0.0931084340425754[/C][C]-2.06097304026004[/C][/ROW]
[ROW][C]46[/C][C]107.29[/C][C]108.597287869896[/C][C]-0.0534228790617386[/C][C]-1.30728786989555[/C][C]-0.510750019267825[/C][/ROW]
[ROW][C]47[/C][C]102.29[/C][C]101.749520779357[/C][C]-0.0623192097763376[/C][C]0.540479220643137[/C][C]-0.706533234299588[/C][/ROW]
[ROW][C]48[/C][C]94.56[/C][C]95.8258188232871[/C][C]-0.0593769831143903[/C][C]-1.26581882328711[/C][C]-0.6091128598055[/C][/ROW]
[ROW][C]49[/C][C]97.29[/C][C]96.0137242342898[/C][C]-0.0612547679521044[/C][C]1.27627576571025[/C][C]0.0266046611324853[/C][/ROW]
[ROW][C]50[/C][C]98.2[/C][C]97.9119550628591[/C][C]-0.0469836386602897[/C][C]0.288044937140884[/C][C]0.195991725713541[/C][/ROW]
[ROW][C]51[/C][C]95.47[/C][C]95.6001678916328[/C][C]-0.0558561011608254[/C][C]-0.130167891632769[/C][C]-0.234564514359067[/C][/ROW]
[ROW][C]52[/C][C]100.47[/C][C]100.402512995511[/C][C]-0.049935342394086[/C][C]0.0674870044891144[/C][C]0.505164128684627[/C][/ROW]
[ROW][C]53[/C][C]116.38[/C][C]116.332250515719[/C][C]-0.0358724362136302[/C][C]0.047749484280841[/C][C]1.66128173191261[/C][/ROW]
[ROW][C]54[/C][C]117.29[/C][C]116.972078710021[/C][C]-0.0352024874283954[/C][C]0.3179212899786[/C][C]0.0702445935526846[/C][/ROW]
[ROW][C]55[/C][C]140.93[/C][C]138.503093624282[/C][C]-0.0128010485295697[/C][C]2.42690637571763[/C][C]2.24197361781071[/C][/ROW]
[ROW][C]56[/C][C]120.02[/C][C]122.075662810964[/C][C]-0.0298948149776735[/C][C]-2.05566281096406[/C][C]-1.70642695436287[/C][/ROW]
[ROW][C]57[/C][C]111.38[/C][C]111.635866349653[/C][C]-0.0409070361408248[/C][C]-0.255866349652659[/C][C]-1.08220787222529[/C][/ROW]
[ROW][C]58[/C][C]108.65[/C][C]109.479338553216[/C][C]-0.0433311897886214[/C][C]-0.829338553216369[/C][C]-0.219962904760307[/C][/ROW]
[ROW][C]59[/C][C]105.92[/C][C]105.205879658152[/C][C]-0.0478902475133143[/C][C]0.714120341847688[/C][C]-0.439828375382696[/C][/ROW]
[ROW][C]60[/C][C]99.1[/C][C]100.634542061679[/C][C]-0.0440606677190003[/C][C]-1.53454206167904[/C][C]-0.470194190257118[/C][/ROW]
[ROW][C]61[/C][C]101.83[/C][C]100.688890811869[/C][C]-0.0445928297373952[/C][C]1.14110918813109[/C][C]0.0104732831545022[/C][/ROW]
[ROW][C]62[/C][C]102.74[/C][C]102.033646965164[/C][C]-0.0368271666736487[/C][C]0.706353034836018[/C][C]0.140418563125215[/C][/ROW]
[ROW][C]63[/C][C]102.74[/C][C]102.924916237968[/C][C]-0.0333423391198165[/C][C]-0.184916237967826[/C][C]0.0960481117323897[/C][/ROW]
[ROW][C]64[/C][C]105.47[/C][C]106.144660131434[/C][C]-0.0290793119246227[/C][C]-0.674660131434175[/C][C]0.338249602224427[/C][/ROW]
[ROW][C]65[/C][C]108.65[/C][C]108.375695483605[/C][C]-0.0272510140128974[/C][C]0.274304516394876[/C][C]0.234962780968618[/C][/ROW]
[ROW][C]66[/C][C]139.57[/C][C]138.618446939291[/C][C]-0.00051849048872173[/C][C]0.951553060708739[/C][C]3.14670083632014[/C][/ROW]
[ROW][C]67[/C][C]110.47[/C][C]109.912684751223[/C][C]-0.027640752643787[/C][C]0.557315248776589[/C][C]-2.98399897119279[/C][/ROW]
[ROW][C]68[/C][C]118.65[/C][C]118.919665433881[/C][C]-0.018972431564475[/C][C]-0.269665433881463[/C][C]0.93917893986872[/C][/ROW]
[ROW][C]69[/C][C]120.02[/C][C]120.120343153485[/C][C]-0.0177627248460199[/C][C]-0.100343153484872[/C][C]0.126791142819328[/C][/ROW]
[ROW][C]70[/C][C]109.11[/C][C]110.490433161352[/C][C]-0.0281188391984502[/C][C]-1.38043316135192[/C][C]-0.999379623726883[/C][/ROW]
[ROW][C]71[/C][C]108.2[/C][C]107.237631663219[/C][C]-0.0309358775985649[/C][C]0.962368336781441[/C][C]-0.335241445568329[/C][/ROW]
[ROW][C]72[/C][C]101.38[/C][C]103.140863603026[/C][C]-0.0267793540118426[/C][C]-1.76086360302563[/C][C]-0.422751290785601[/C][/ROW]
[ROW][C]73[/C][C]106.38[/C][C]105.107353692335[/C][C]-0.0346894918245343[/C][C]1.27264630766459[/C][C]0.210650134456844[/C][/ROW]
[ROW][C]74[/C][C]108.65[/C][C]107.743412329872[/C][C]-0.0228715380631854[/C][C]0.906587670128498[/C][C]0.271788904502164[/C][/ROW]
[ROW][C]75[/C][C]107.74[/C][C]108.005580848744[/C][C]-0.02185641982287[/C][C]-0.265580848744327[/C][C]0.0294838364500275[/C][/ROW]
[ROW][C]76[/C][C]105.92[/C][C]106.747708960952[/C][C]-0.02359373461156[/C][C]-0.827708960952221[/C][C]-0.128509140342416[/C][/ROW]
[ROW][C]77[/C][C]129.56[/C][C]129.803675191389[/C][C]-0.00548490589529893[/C][C]-0.243675191389459[/C][C]2.39936732592251[/C][/ROW]
[ROW][C]78[/C][C]139.11[/C][C]135.823404644188[/C][C]-0.000622027257079629[/C][C]3.2865953558122[/C][C]0.626335500482164[/C][/ROW]
[ROW][C]79[/C][C]125.93[/C][C]127.048406565449[/C][C]-0.00830787331599591[/C][C]-1.11840656544875[/C][C]-0.912097405212779[/C][/ROW]
[ROW][C]80[/C][C]123.65[/C][C]124.271820247806[/C][C]-0.0108163947948473[/C][C]-0.621820247805634[/C][C]-0.287764406742671[/C][/ROW]
[ROW][C]81[/C][C]118.65[/C][C]118.479376155434[/C][C]-0.0163299792530075[/C][C]0.17062384456622[/C][C]-0.601036759509202[/C][/ROW]
[ROW][C]82[/C][C]110.47[/C][C]112.035858866495[/C][C]-0.0228764186854626[/C][C]-1.56585886649454[/C][C]-0.668234652042407[/C][/ROW]
[ROW][C]83[/C][C]110.02[/C][C]108.832166005863[/C][C]-0.0250834402814819[/C][C]1.1878339941368[/C][C]-0.330638421472207[/C][/ROW]
[ROW][C]84[/C][C]100.47[/C][C]102.774759814801[/C][C]-0.0185084625613347[/C][C]-2.30475981480122[/C][C]-0.62737844871026[/C][/ROW]
[ROW][C]85[/C][C]104.1[/C][C]102.937250753395[/C][C]-0.0190454052905096[/C][C]1.16274924660524[/C][C]0.0190375450424648[/C][/ROW]
[ROW][C]86[/C][C]106.6[/C][C]105.338726893105[/C][C]-0.0103441292465514[/C][C]1.26127310689462[/C][C]0.247490356307481[/C][/ROW]
[ROW][C]87[/C][C]105.5[/C][C]105.454704306075[/C][C]-0.00992052677242763[/C][C]0.0452956939245346[/C][C]0.0130628354600177[/C][/ROW]
[ROW][C]88[/C][C]107.5[/C][C]109.743122629318[/C][C]-0.00352794293543331[/C][C]-2.24312262931751[/C][C]0.446851350533304[/C][/ROW]
[ROW][C]89[/C][C]117.9[/C][C]118.067353799633[/C][C]0.00303735915956221[/C][C]-0.167353799632871[/C][C]0.86576732547713[/C][/ROW]
[ROW][C]90[/C][C]136.3[/C][C]131.42097378013[/C][C]0.0131026524997536[/C][C]4.87902621986994[/C][C]1.38781180276302[/C][/ROW]
[ROW][C]91[/C][C]156.8[/C][C]155.945224504105[/C][C]0.0332658859447544[/C][C]0.854775495895042[/C][C]2.54789030705079[/C][/ROW]
[ROW][C]92[/C][C]135.8[/C][C]138.056324410423[/C][C]0.0176913758741139[/C][C]-2.25632441042323[/C][C]-1.86299466442996[/C][/ROW]
[ROW][C]93[/C][C]130[/C][C]129.960812099004[/C][C]0.0101646423001111[/C][C]0.0391879009957598[/C][C]-0.843421007437687[/C][/ROW]
[ROW][C]94[/C][C]117.5[/C][C]119.532583368532[/C][C]0.000141883452346012[/C][C]-2.03258336853239[/C][C]-1.08526457166048[/C][/ROW]
[ROW][C]95[/C][C]115.8[/C][C]114.31072636368[/C][C]-0.00267679707617206[/C][C]1.48927363632032[/C][C]-0.542755127864281[/C][/ROW]
[ROW][C]96[/C][C]105.5[/C][C]108.183757328778[/C][C]0.00399524328632851[/C][C]-2.68375732877768[/C][C]-0.637057519761288[/C][/ROW]
[ROW][C]97[/C][C]111.6[/C][C]110.335942916729[/C][C]-0.0008234629197722[/C][C]1.26405708327104[/C][C]0.225200833195114[/C][/ROW]
[ROW][C]98[/C][C]113.2[/C][C]111.710001554369[/C][C]0.00328391008872052[/C][C]1.48999844563068[/C][C]0.141046977824867[/C][/ROW]
[ROW][C]99[/C][C]113.1[/C][C]113.074146570267[/C][C]0.00756165144037107[/C][C]0.0258534297327257[/C][C]0.140712219107258[/C][/ROW]
[ROW][C]100[/C][C]112.5[/C][C]115.018862633617[/C][C]0.0105635857787529[/C][C]-2.51886263361656[/C][C]0.201357160564052[/C][/ROW]
[ROW][C]101[/C][C]120[/C][C]120.723450413979[/C][C]0.0151647583589326[/C][C]-0.723450413978553[/C][C]0.591965536154525[/C][/ROW]
[ROW][C]102[/C][C]147.6[/C][C]143.012375265871[/C][C]0.0311628088044953[/C][C]4.58762473412907[/C][C]2.31538135524343[/C][/ROW]
[ROW][C]103[/C][C]149.9[/C][C]147.742409694248[/C][C]0.0348313742915952[/C][C]2.1575903057521[/C][C]0.488434349656984[/C][/ROW]
[ROW][C]104[/C][C]131.2[/C][C]134.333599536928[/C][C]0.0235237347461506[/C][C]-3.13359953692783[/C][C]-1.39744722316827[/C][/ROW]
[ROW][C]105[/C][C]134.6[/C][C]133.737868162101[/C][C]0.0229627992470357[/C][C]0.86213183789879[/C][C]-0.0643760275371186[/C][/ROW]
[ROW][C]106[/C][C]122.2[/C][C]124.549438562087[/C][C]0.0146688607817531[/C][C]-2.34943856208747[/C][C]-0.957671234366655[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285980&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285980&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
187.2987.29000
288.1988.13989330074390.04649900792983470.0501066992560720.0531419881565009
389.189.03077108004990.05153704529560630.06922891995010420.087922023373661
489.189.05575265655220.051435358270580.0442473434477554-0.00276494307913057
5103.65103.2133155774490.1093322679894620.4366844225506751.46869051029133
6127.75127.101391651420.2071158201504270.6486083485797632.47575931002196
7125.47125.4977503168660.199702697196108-0.0277503168655474-0.1885281922821
8125.47125.2678892190780.1979513597297770.20211078092206-0.0447239614359152
9109.11109.3479710664390.132505344446583-0.237971066439332-1.67809583022879
10100.01100.0097443633490.0942052842255220.000255636651214142-0.986027959870362
1195.0194.98137117055270.07357278838577760.0286288294472626-0.533323703778959
1285.0185.16551251846070.0339003632307784-0.155512518460676-1.02960395678013
1386.8386.5000419679268-0.02058817349247690.3299580320732150.16261710633553
1486.8386.8427184230633-0.012077594294681-0.01271842306333570.0324053999109561
1586.8386.7303750199467-0.01251395776477520.0996249800533323-0.0104222750528057
1686.8386.9914715441941-0.0120407614200498-0.161471544194140.0284590746404371
17100.47100.1169682763130.01358863759761820.3530317236872731.36641344320833
18111.38110.6052136294020.03468213062745210.7747863705982831.08944935821368
19105.47106.1260330660880.0256080838612825-0.656033066088187-0.469478082431191
20102.74102.515540753420.0183179906844940.224459246580452-0.37818302406329
21105.01105.0206654177060.0232920675140934-0.01066541770637110.258646768870733
2296.3896.80919438069480.00676682250022247-0.429194380694797-0.856484421105989
2394.193.91895370617590.0006072485002383620.181046293824074-0.301353062004908
2486.8387.2997682515252-0.00754394199695829-0.469768251525188-0.688161975037974
2592.7491.4778785039978-0.08525288741552571.26212149600220.474848037597236
2693.293.1830215835794-0.05963169604569310.01697841642056960.170929502001228
2795.4795.1747510185178-0.05117136236378780.295248981482210.212948489008913
2896.3896.9437066480995-0.048882191875069-0.563706648099490.189273639871502
2999.5699.6322002127123-0.0452677817540059-0.07220021271226940.284629612302844
30120.47118.543450787417-0.0182285210902441.926549212582871.97106288840602
31123.2123.763904385206-0.0107083375535776-0.5639043852064160.54470899081009
32114.11114.771327479792-0.0235575902590425-0.661327479791789-0.933918063997969
33120.93120.207316484626-0.01576092561079150.7226835153735340.567672689793129
34102.74104.182350918761-0.0392158392195527-1.44235091876074-1.66466561280039
35101.83101.257053758873-0.04383614644657640.572946241127443-0.300155431133886
3695.4796.3455634794787-0.0443876818668446-0.875563479478658-0.505817105526521
37100.0198.6943389150061-0.07129475681013741.315661084993910.262179724994666
38100.01100.031956730142-0.0573619465450754-0.02195673014249680.138588084406312
3998.298.0880675638109-0.06497491149299650.111932436189108-0.19559193498215
40100.01100.287997384185-0.0623241076415452-0.2779973841851720.235512743383308
41103.65104.483715867896-0.0579419233415326-0.8337158678964780.442696747569098
42114.56112.580403773374-0.04853806320214471.979596226626220.847795763095153
43134.11132.936915694373-0.02443832993484061.173084305627232.12141083486898
44131.84133.4043998047-0.023859111445229-1.564399804699850.0511426797692082
45113.65113.556891565957-0.04727783248878780.0931084340425754-2.06097304026004
46107.29108.597287869896-0.0534228790617386-1.30728786989555-0.510750019267825
47102.29101.749520779357-0.06231920977633760.540479220643137-0.706533234299588
4894.5695.8258188232871-0.0593769831143903-1.26581882328711-0.6091128598055
4997.2996.0137242342898-0.06125476795210441.276275765710250.0266046611324853
5098.297.9119550628591-0.04698363866028970.2880449371408840.195991725713541
5195.4795.6001678916328-0.0558561011608254-0.130167891632769-0.234564514359067
52100.47100.402512995511-0.0499353423940860.06748700448911440.505164128684627
53116.38116.332250515719-0.03587243621363020.0477494842808411.66128173191261
54117.29116.972078710021-0.03520248742839540.31792128997860.0702445935526846
55140.93138.503093624282-0.01280104852956972.426906375717632.24197361781071
56120.02122.075662810964-0.0298948149776735-2.05566281096406-1.70642695436287
57111.38111.635866349653-0.0409070361408248-0.255866349652659-1.08220787222529
58108.65109.479338553216-0.0433311897886214-0.829338553216369-0.219962904760307
59105.92105.205879658152-0.04789024751331430.714120341847688-0.439828375382696
6099.1100.634542061679-0.0440606677190003-1.53454206167904-0.470194190257118
61101.83100.688890811869-0.04459282973739521.141109188131090.0104732831545022
62102.74102.033646965164-0.03682716667364870.7063530348360180.140418563125215
63102.74102.924916237968-0.0333423391198165-0.1849162379678260.0960481117323897
64105.47106.144660131434-0.0290793119246227-0.6746601314341750.338249602224427
65108.65108.375695483605-0.02725101401289740.2743045163948760.234962780968618
66139.57138.618446939291-0.000518490488721730.9515530607087393.14670083632014
67110.47109.912684751223-0.0276407526437870.557315248776589-2.98399897119279
68118.65118.919665433881-0.018972431564475-0.2696654338814630.93917893986872
69120.02120.120343153485-0.0177627248460199-0.1003431534848720.126791142819328
70109.11110.490433161352-0.0281188391984502-1.38043316135192-0.999379623726883
71108.2107.237631663219-0.03093587759856490.962368336781441-0.335241445568329
72101.38103.140863603026-0.0267793540118426-1.76086360302563-0.422751290785601
73106.38105.107353692335-0.03468949182453431.272646307664590.210650134456844
74108.65107.743412329872-0.02287153806318540.9065876701284980.271788904502164
75107.74108.005580848744-0.02185641982287-0.2655808487443270.0294838364500275
76105.92106.747708960952-0.02359373461156-0.827708960952221-0.128509140342416
77129.56129.803675191389-0.00548490589529893-0.2436751913894592.39936732592251
78139.11135.823404644188-0.0006220272570796293.28659535581220.626335500482164
79125.93127.048406565449-0.00830787331599591-1.11840656544875-0.912097405212779
80123.65124.271820247806-0.0108163947948473-0.621820247805634-0.287764406742671
81118.65118.479376155434-0.01632997925300750.17062384456622-0.601036759509202
82110.47112.035858866495-0.0228764186854626-1.56585886649454-0.668234652042407
83110.02108.832166005863-0.02508344028148191.1878339941368-0.330638421472207
84100.47102.774759814801-0.0185084625613347-2.30475981480122-0.62737844871026
85104.1102.937250753395-0.01904540529050961.162749246605240.0190375450424648
86106.6105.338726893105-0.01034412924655141.261273106894620.247490356307481
87105.5105.454704306075-0.009920526772427630.04529569392453460.0130628354600177
88107.5109.743122629318-0.00352794293543331-2.243122629317510.446851350533304
89117.9118.0673537996330.00303735915956221-0.1673537996328710.86576732547713
90136.3131.420973780130.01310265249975364.879026219869941.38781180276302
91156.8155.9452245041050.03326588594475440.8547754958950422.54789030705079
92135.8138.0563244104230.0176913758741139-2.25632441042323-1.86299466442996
93130129.9608120990040.01016464230011110.0391879009957598-0.843421007437687
94117.5119.5325833685320.000141883452346012-2.03258336853239-1.08526457166048
95115.8114.31072636368-0.002676797076172061.48927363632032-0.542755127864281
96105.5108.1837573287780.00399524328632851-2.68375732877768-0.637057519761288
97111.6110.335942916729-0.00082346291977221.264057083271040.225200833195114
98113.2111.7100015543690.003283910088720521.489998445630680.141046977824867
99113.1113.0741465702670.007561651440371070.02585342973272570.140712219107258
100112.5115.0188626336170.0105635857787529-2.518862633616560.201357160564052
101120120.7234504139790.0151647583589326-0.7234504139785530.591965536154525
102147.6143.0123752658710.03116280880449534.587624734129072.31538135524343
103149.9147.7424096942480.03483137429159522.15759030575210.488434349656984
104131.2134.3335995369280.0235237347461506-3.13359953692783-1.39744722316827
105134.6133.7378681621010.02296279924703570.86213183789879-0.0643760275371186
106122.2124.5494385620870.0146688607817531-2.34943856208747-0.957671234366655



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')