Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 22 Dec 2011 07:07:47 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/22/t1324555696h5frc95kgy3d2f8.htm/, Retrieved Fri, 03 May 2024 14:27:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159352, Retrieved Fri, 03 May 2024 14:27:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Structural Time Series Models] [Workshop 5] [2010-12-07 13:08:42] [eb6e95800005ec22b7fd76eead8d8a59]
- R PD    [Structural Time Series Models] [STSM] [2011-12-22 12:07:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message
Dataseries X:
169498
125451
140449
141653
136394
167588
191807
149736
196066
239155
178421
139871
118159
109763
97415
119190
97903
96953
87888
84637
90549
95680
99371
79984
86752
85733
84906
78356
108895
101768
73285
65724
67457
67203
69273
80807
75129
74991
68157
73858
71349
85634
91624
116014
120033
108651
105378
138939
132974
135277
152741
158417
157460
193997
154089
147570
162924
153629
155907
197675
250708
266652
209842
165826
137152
150581
145973
126532
115437
119526
110856
97243
103876
116370
109616
98365
90440
88899
92358
88394
98219
113546
107168
77540
74944
75641
75910
87384
84615
80420
80784
79933
82118
91420
112426
114528
131025
116460
111258
155318
155078
134794
139985
198778
172436
169585
203702
282392
220658
194472
269246
215340
218319
195724
174614
172085
152347
189615
173804
145683
133550
121156
112040
120767
127019
136295
113425
107815
100298
97048
98750
98235
101254
139589
134921
80355
80396
82183
79709
90781




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159352&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159352&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159352&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'AstonUniversity' @ aston.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1169498169498000
2125451130937.053535676-4455.53665731428-4460.12121184286-0.926911429104525
3140449142710.078098116-4038.79301210403-4010.153450508110.782620714994976
4141653144903.567159177-3934.76893481059-3933.65360342890.302123447835382
5136394140403.489273703-3943.60179486664-3947.46249686999-0.0274076708822582
6167588167593.70802201-3466.95805487547-3422.180676410971.50933787098339
7191807191796.238161062-3049.93512255099-3025.656519347861.34127395094184
8149736152666.269255517-185.5321636853261070.64841825932-2.08799983714907
9196066191402.1169761921690.803566027751708.100174465221.56892372815459
10239155232594.9765664112138.395226115472260.352369164331.90438624198915
11178421182562.092829761751.258760835691579.82313728747-2.52094605841796
12139871143040.1961584621461.338539078141358.69115284602-1.99447560861594
13118159119629.3169825321288.341814948791258.41556977659-1.20191770071876
14109763109716.5308415621211.977723123261275.3820491139-0.541234910116319
1597415106269.5789148391380.44996813675-8340.8141704456-0.24596427322599
16119190116811.6065134641660.453630451181569.086864274330.397550417481158
179790398445.42001164721511.797012335521641.0710969323-0.965292680883919
189695395966.14973554151492.684955250231424.19973246098-0.19267216501817
198788887601.2607040441447.828442288941367.25274395105-0.475903869783927
208463783798.70730480041424.031343297641413.81333670788-0.253481690569541
219054988636.94517189521438.859021482491537.790251529640.164811600246706
2295680101529.9044725611171.85023351316-7110.174712740960.586397299134794
239937198689.09979684921082.281915608911059.45977299728-0.179583767159408
247998481022.7334436483976.898521911861005.69890496454-0.903588819249069
258675285374.3480108313988.8761498824341008.172690574270.162846389420012
268573384970.7797969872984.168001214215914.701536816526-0.067194318446001
278490684149.6269570637978.052093334904954.069496365554-0.0871204409885839
287835678132.2744334919956.150182535917989.820527240163-0.337518734264338
29108895108389.937493613454.609978120552-2714.067720458751.47699051402312
30101768102049.824471143335.447143056661380.028426002695-0.30933273009258
317328576108.951779292214.54669299809640.1564958762568-1.26627567207558
326572466586.5870777267186.968552689405202.447439727425-0.469735261493394
336745767255.5840609018188.271567944432148.6830881691730.0232549264660126
346720367026.2956257835187.133523189694222.384841720991-0.0201453860817314
356927368952.8231977043191.307726846875129.8760309552480.0838981204928852
368080779902.86041809346.5569389185018-276.4060507714360.537224678967829
377512975412.4899508997-18.801852234495168.187724556693-0.208807130551497
387499175146.3629481769-19.7802210185316-128.422033382706-0.011917925196245
396815768909.4145791427-34.5041728199261-73.0170851638523-0.299884684162262
407385873369.8411545572-24.3332352030595-3.097472237513540.216816718055083
417134971562.7985214635-28.426724887845-18.9635136568823-0.0859938535162169
428563484255.0210220654-4.20825111388295-11.39354103248470.613442315820262
439162490483.9063437333-72.9275183988568456.865261577510.309268307881917
44116014113200.196293279204.926791850865510.7773136235661.05682426385195
45120033119229.632726997225.414012185016169.386624710850.280648837248425
46108651109693.427834376205.44147164397323.313636673962-0.47079826875659
47105378105598.101523636197.032630092687249.491949408698-0.207427129104362
48138939135236.645299551255.815331607217487.6857952875771.4200341997585
49132974133154.880109824252.21245816854774.3791256497876-0.112710716914602
50135277136326.062772845225.098531744846-1368.71306031520.144165411928834
51152741150615.163713275373.358884565583689.0118997261710.655858836052203
52158417157281.603085173393.524859876228450.9589693465760.303207627460805
53157460157225.142582076392.709711515273283.941721316688-0.0217008132884172
54193997189892.324997799448.525354012824583.8473418863121.55647568947049
55154089157471.692406177390.150018017679203.003896853577-1.5852299901419
56147570148417.418225868378.228380487571182.970518433557-0.455327583279036
57162924162899.282550604265.654577648664-1518.370942614040.694131088497627
58153629154191.916879896182.547552471494361.380801000306-0.420252482877542
59155907155449.973310861185.744535626791340.1477464722470.051816079213213
60197675193383.451277191247.468023896427177.5117851797661.8202952867906
61250708244011.447230551325.9345895203651205.204044842472.42950992203631
62266652264165.644201201357.793303603372325.1314465348860.956228767747404
63209842215825.581517896307.160768731918-675.147455696899-2.34757378892557
64165826173977.069226678600.5372108446-3542.61796982267-2.0690320355247
65137152140368.953708906318.690251126367329.585766848085-1.60766326142377
66150581149175.375563996342.416316652667483.9614890277310.408899259245167
67145973146600.105410264338.041303409525-309.367020050187-0.140691855057143
68126532127991.936474999311.083160530731603.503726848676-0.913602904465436
69115437116179.765656397293.232672455355577.579584298381-0.584622408947455
70119526119408.442248492295.749751587069-202.1719752165350.141498706374743
71110856113364.30933113334.647604674248-1815.77564101539-0.310470540305816
729724398798.8735904925224.35468590014-3.14660262513676-0.70219973625185
73103876102983.88597125234.875730120167462.361374167980.190794756778124
74116370115133.104121762251.477009638543-59.61604675059570.574492153008967
75109616109685.874309717243.982177939882550.312022355286-0.274786387132556
769836599206.5971605567229.369158292506325.404843915958-0.517089917734022
779044091557.378258286223.811846148126-259.88117601042-0.379754454715439
788889990150.3651821358232.709533942306-1073.35411359825-0.0797152619338697
799235892153.2472520563244.57726184912419.50713609210810.0836172996925343
808839488579.5539602462234.860386895759228.450359631486-0.183924915851982
819821997199.4128260982245.840506866129107.7723961132110.404300132729351
82113546111206.412145176262.732170961768843.0064736504290.663530880190951
83107168107296.065129335257.428470892281325.773293109485-0.201224860210026
847754081021.8315810544242.129439734526-596.164141502486-1.27879228463872
857494476657.4762900108264.632422149896-1211.00983933195-0.224815104202655
867564175651.8834417949256.867319512127122.507639815996-0.0601192288512739
877591075747.62305859256.472026693068179.835709057625-0.00776102702515737
888738486201.9296508643269.14469188650373.8391799078460.491697641388532
898461584128.7368441603266.439177671969740.838844331862-0.112939399844715
908042080258.7182617197261.506907059435610.85030597712-0.199453335701766
918078481207.2738039082261.827461300032-497.9511931110910.0331137543126797
927993381152.4870882111263.219959749619-1184.97412543555-0.0154314506979657
938211881903.1166194983265.952374520748163.548621577550.0231076626237903
949142090347.8368039252285.389756842258186.5259989846590.393924010464206
95112426109925.826103011308.333531215775404.84195495670.930190728305594
96114528113383.579488799311.780513137858802.3292021278070.151851291367848
97131025128528.902783222328.451980732218884.869211952070.715231623795753
98116460118308.360012595324.530109177335-702.440298947762-0.508418084362895
99111258113413.432921216345.290207011366-1586.83210426349-0.254097918191788
100155318150630.416760044535.772295843276794.530255387581.75059622290639
101155078154614.174585431543.74045625064390.6802462198990.166060449543438
102134794136545.89504431522.402395063256268.402408217173-0.897361157561594
103139985138893.552070206524.306708769331893.295291992170.0880045096311797
104198778190991.831446734579.1394554573392187.19417914282.48669511295193
105172436175189.699134986574.393323374186-975.202727776295-0.789495178144284
106169585173133.333612092583.891039719024-3261.91023292032-0.127944091503658
107203702199762.258211277708.4116605235341183.941288828451.23813661243935
108282392272679.229493817871.153578673391902.515502964483.47749406014886
109220658226283.510395495818.581662347896-497.399924958187-2.2788944529852
110194472197654.908501424789.14346363523112.341300499271-1.41977673253418
111269246258734.370553048849.951481404213969.621522520482.90690222465381
112215340221184.19808859841.561934426273-1677.23140633509-1.85066972682466
113218319222750.01917812839.181371511907-4509.829125052920.0351924524152136
114195724198867.492645376729.387887662786-522.88948282192-1.1765395033926
115174614175156.837890535675.5459446325152099.33910021212-1.17694855104907
116172085172428.438750918671.852888535925.6914312710222-0.164113500884272
117152347155705.570225068655.115512950516-1471.96225117388-0.838667115919072
118189615181930.796511856679.6345690604424910.882044977341.2328405505681
119173804176497.194587461678.677941071155-2030.12479914159-0.294621180128077
120145683152595.907034471752.41729569937-4239.64462647876-1.1934314083836
121133550135755.911508271679.596847754101-338.051228709737-0.838073778904102
122121156120909.305666736646.1034599646441924.44406728378-0.747652091204494
123112040112730.864414848636.720577987575265.674018889169-0.425450595782071
124120767121613.968234828644.387738964874-1740.989851829430.397587126406133
125127019122183.521651021644.3193988921244843.59150323235-0.00360800410583566
126136295136290.962279762645.699540556317-1455.622741725840.648838589236333
127113425119465.418145636693.636481209977-4141.2192715117-0.847692270498211
128107815109197.236783923651.219221122176-216.739676025946-0.522662241982024
12910029899464.696263912629.2549638779011954.89915516536-0.499998599318838
1309704897221.4682689555626.249750969648137.772194289838-0.13848726428154
13198750100172.145019616628.345173600426-1674.049918726350.112068103676776
1329823594513.4700307262622.8698656088374402.88098448535-0.303112101316053
133101254101605.634354644623.229180953568-1052.762194891050.311779340483042
134139589138322.740543452532.50020041688-2655.480999675671.75016216714437
135134921135557.444745375520.538367636822-285.378424371462-0.157363405731111
1368035585081.4329066747414.654967733652779.853110982487-2.455477527639
1378039680870.906642979409.87763594707626.0613598156937-0.222985711173909
1388218383555.8168663316411.872097268187-1619.284060166250.109686091053255
1397970976511.5885591857405.6729938462054005.18476109888-0.359470027088085
1409078190727.4038775876405.876259863542-1442.596726244720.665562959704377

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 169498 & 169498 & 0 & 0 & 0 \tabularnewline
2 & 125451 & 130937.053535676 & -4455.53665731428 & -4460.12121184286 & -0.926911429104525 \tabularnewline
3 & 140449 & 142710.078098116 & -4038.79301210403 & -4010.15345050811 & 0.782620714994976 \tabularnewline
4 & 141653 & 144903.567159177 & -3934.76893481059 & -3933.6536034289 & 0.302123447835382 \tabularnewline
5 & 136394 & 140403.489273703 & -3943.60179486664 & -3947.46249686999 & -0.0274076708822582 \tabularnewline
6 & 167588 & 167593.70802201 & -3466.95805487547 & -3422.18067641097 & 1.50933787098339 \tabularnewline
7 & 191807 & 191796.238161062 & -3049.93512255099 & -3025.65651934786 & 1.34127395094184 \tabularnewline
8 & 149736 & 152666.269255517 & -185.532163685326 & 1070.64841825932 & -2.08799983714907 \tabularnewline
9 & 196066 & 191402.116976192 & 1690.80356602775 & 1708.10017446522 & 1.56892372815459 \tabularnewline
10 & 239155 & 232594.976566411 & 2138.39522611547 & 2260.35236916433 & 1.90438624198915 \tabularnewline
11 & 178421 & 182562.09282976 & 1751.25876083569 & 1579.82313728747 & -2.52094605841796 \tabularnewline
12 & 139871 & 143040.196158462 & 1461.33853907814 & 1358.69115284602 & -1.99447560861594 \tabularnewline
13 & 118159 & 119629.316982532 & 1288.34181494879 & 1258.41556977659 & -1.20191770071876 \tabularnewline
14 & 109763 & 109716.530841562 & 1211.97772312326 & 1275.3820491139 & -0.541234910116319 \tabularnewline
15 & 97415 & 106269.578914839 & 1380.44996813675 & -8340.8141704456 & -0.24596427322599 \tabularnewline
16 & 119190 & 116811.606513464 & 1660.45363045118 & 1569.08686427433 & 0.397550417481158 \tabularnewline
17 & 97903 & 98445.4200116472 & 1511.79701233552 & 1641.0710969323 & -0.965292680883919 \tabularnewline
18 & 96953 & 95966.1497355415 & 1492.68495525023 & 1424.19973246098 & -0.19267216501817 \tabularnewline
19 & 87888 & 87601.260704044 & 1447.82844228894 & 1367.25274395105 & -0.475903869783927 \tabularnewline
20 & 84637 & 83798.7073048004 & 1424.03134329764 & 1413.81333670788 & -0.253481690569541 \tabularnewline
21 & 90549 & 88636.9451718952 & 1438.85902148249 & 1537.79025152964 & 0.164811600246706 \tabularnewline
22 & 95680 & 101529.904472561 & 1171.85023351316 & -7110.17471274096 & 0.586397299134794 \tabularnewline
23 & 99371 & 98689.0997968492 & 1082.28191560891 & 1059.45977299728 & -0.179583767159408 \tabularnewline
24 & 79984 & 81022.7334436483 & 976.89852191186 & 1005.69890496454 & -0.903588819249069 \tabularnewline
25 & 86752 & 85374.3480108313 & 988.876149882434 & 1008.17269057427 & 0.162846389420012 \tabularnewline
26 & 85733 & 84970.7797969872 & 984.168001214215 & 914.701536816526 & -0.067194318446001 \tabularnewline
27 & 84906 & 84149.6269570637 & 978.052093334904 & 954.069496365554 & -0.0871204409885839 \tabularnewline
28 & 78356 & 78132.2744334919 & 956.150182535917 & 989.820527240163 & -0.337518734264338 \tabularnewline
29 & 108895 & 108389.937493613 & 454.609978120552 & -2714.06772045875 & 1.47699051402312 \tabularnewline
30 & 101768 & 102049.824471143 & 335.447143056661 & 380.028426002695 & -0.30933273009258 \tabularnewline
31 & 73285 & 76108.951779292 & 214.546692998096 & 40.1564958762568 & -1.26627567207558 \tabularnewline
32 & 65724 & 66586.5870777267 & 186.968552689405 & 202.447439727425 & -0.469735261493394 \tabularnewline
33 & 67457 & 67255.5840609018 & 188.271567944432 & 148.683088169173 & 0.0232549264660126 \tabularnewline
34 & 67203 & 67026.2956257835 & 187.133523189694 & 222.384841720991 & -0.0201453860817314 \tabularnewline
35 & 69273 & 68952.8231977043 & 191.307726846875 & 129.876030955248 & 0.0838981204928852 \tabularnewline
36 & 80807 & 79902.860418093 & 46.5569389185018 & -276.406050771436 & 0.537224678967829 \tabularnewline
37 & 75129 & 75412.4899508997 & -18.801852234495 & 168.187724556693 & -0.208807130551497 \tabularnewline
38 & 74991 & 75146.3629481769 & -19.7802210185316 & -128.422033382706 & -0.011917925196245 \tabularnewline
39 & 68157 & 68909.4145791427 & -34.5041728199261 & -73.0170851638523 & -0.299884684162262 \tabularnewline
40 & 73858 & 73369.8411545572 & -24.3332352030595 & -3.09747223751354 & 0.216816718055083 \tabularnewline
41 & 71349 & 71562.7985214635 & -28.426724887845 & -18.9635136568823 & -0.0859938535162169 \tabularnewline
42 & 85634 & 84255.0210220654 & -4.20825111388295 & -11.3935410324847 & 0.613442315820262 \tabularnewline
43 & 91624 & 90483.9063437333 & -72.9275183988568 & 456.86526157751 & 0.309268307881917 \tabularnewline
44 & 116014 & 113200.196293279 & 204.926791850865 & 510.777313623566 & 1.05682426385195 \tabularnewline
45 & 120033 & 119229.632726997 & 225.414012185016 & 169.38662471085 & 0.280648837248425 \tabularnewline
46 & 108651 & 109693.427834376 & 205.441471643973 & 23.313636673962 & -0.47079826875659 \tabularnewline
47 & 105378 & 105598.101523636 & 197.032630092687 & 249.491949408698 & -0.207427129104362 \tabularnewline
48 & 138939 & 135236.645299551 & 255.815331607217 & 487.685795287577 & 1.4200341997585 \tabularnewline
49 & 132974 & 133154.880109824 & 252.212458168547 & 74.3791256497876 & -0.112710716914602 \tabularnewline
50 & 135277 & 136326.062772845 & 225.098531744846 & -1368.7130603152 & 0.144165411928834 \tabularnewline
51 & 152741 & 150615.163713275 & 373.358884565583 & 689.011899726171 & 0.655858836052203 \tabularnewline
52 & 158417 & 157281.603085173 & 393.524859876228 & 450.958969346576 & 0.303207627460805 \tabularnewline
53 & 157460 & 157225.142582076 & 392.709711515273 & 283.941721316688 & -0.0217008132884172 \tabularnewline
54 & 193997 & 189892.324997799 & 448.525354012824 & 583.847341886312 & 1.55647568947049 \tabularnewline
55 & 154089 & 157471.692406177 & 390.150018017679 & 203.003896853577 & -1.5852299901419 \tabularnewline
56 & 147570 & 148417.418225868 & 378.228380487571 & 182.970518433557 & -0.455327583279036 \tabularnewline
57 & 162924 & 162899.282550604 & 265.654577648664 & -1518.37094261404 & 0.694131088497627 \tabularnewline
58 & 153629 & 154191.916879896 & 182.547552471494 & 361.380801000306 & -0.420252482877542 \tabularnewline
59 & 155907 & 155449.973310861 & 185.744535626791 & 340.147746472247 & 0.051816079213213 \tabularnewline
60 & 197675 & 193383.451277191 & 247.468023896427 & 177.511785179766 & 1.8202952867906 \tabularnewline
61 & 250708 & 244011.447230551 & 325.934589520365 & 1205.20404484247 & 2.42950992203631 \tabularnewline
62 & 266652 & 264165.644201201 & 357.793303603372 & 325.131446534886 & 0.956228767747404 \tabularnewline
63 & 209842 & 215825.581517896 & 307.160768731918 & -675.147455696899 & -2.34757378892557 \tabularnewline
64 & 165826 & 173977.069226678 & 600.5372108446 & -3542.61796982267 & -2.0690320355247 \tabularnewline
65 & 137152 & 140368.953708906 & 318.690251126367 & 329.585766848085 & -1.60766326142377 \tabularnewline
66 & 150581 & 149175.375563996 & 342.416316652667 & 483.961489027731 & 0.408899259245167 \tabularnewline
67 & 145973 & 146600.105410264 & 338.041303409525 & -309.367020050187 & -0.140691855057143 \tabularnewline
68 & 126532 & 127991.936474999 & 311.083160530731 & 603.503726848676 & -0.913602904465436 \tabularnewline
69 & 115437 & 116179.765656397 & 293.232672455355 & 577.579584298381 & -0.584622408947455 \tabularnewline
70 & 119526 & 119408.442248492 & 295.749751587069 & -202.171975216535 & 0.141498706374743 \tabularnewline
71 & 110856 & 113364.30933113 & 334.647604674248 & -1815.77564101539 & -0.310470540305816 \tabularnewline
72 & 97243 & 98798.8735904925 & 224.35468590014 & -3.14660262513676 & -0.70219973625185 \tabularnewline
73 & 103876 & 102983.88597125 & 234.875730120167 & 462.36137416798 & 0.190794756778124 \tabularnewline
74 & 116370 & 115133.104121762 & 251.477009638543 & -59.6160467505957 & 0.574492153008967 \tabularnewline
75 & 109616 & 109685.874309717 & 243.982177939882 & 550.312022355286 & -0.274786387132556 \tabularnewline
76 & 98365 & 99206.5971605567 & 229.369158292506 & 325.404843915958 & -0.517089917734022 \tabularnewline
77 & 90440 & 91557.378258286 & 223.811846148126 & -259.88117601042 & -0.379754454715439 \tabularnewline
78 & 88899 & 90150.3651821358 & 232.709533942306 & -1073.35411359825 & -0.0797152619338697 \tabularnewline
79 & 92358 & 92153.2472520563 & 244.577261849124 & 19.5071360921081 & 0.0836172996925343 \tabularnewline
80 & 88394 & 88579.5539602462 & 234.860386895759 & 228.450359631486 & -0.183924915851982 \tabularnewline
81 & 98219 & 97199.4128260982 & 245.840506866129 & 107.772396113211 & 0.404300132729351 \tabularnewline
82 & 113546 & 111206.412145176 & 262.732170961768 & 843.006473650429 & 0.663530880190951 \tabularnewline
83 & 107168 & 107296.065129335 & 257.428470892281 & 325.773293109485 & -0.201224860210026 \tabularnewline
84 & 77540 & 81021.8315810544 & 242.129439734526 & -596.164141502486 & -1.27879228463872 \tabularnewline
85 & 74944 & 76657.4762900108 & 264.632422149896 & -1211.00983933195 & -0.224815104202655 \tabularnewline
86 & 75641 & 75651.8834417949 & 256.867319512127 & 122.507639815996 & -0.0601192288512739 \tabularnewline
87 & 75910 & 75747.62305859 & 256.472026693068 & 179.835709057625 & -0.00776102702515737 \tabularnewline
88 & 87384 & 86201.9296508643 & 269.144691886503 & 73.839179907846 & 0.491697641388532 \tabularnewline
89 & 84615 & 84128.7368441603 & 266.439177671969 & 740.838844331862 & -0.112939399844715 \tabularnewline
90 & 80420 & 80258.7182617197 & 261.506907059435 & 610.85030597712 & -0.199453335701766 \tabularnewline
91 & 80784 & 81207.2738039082 & 261.827461300032 & -497.951193111091 & 0.0331137543126797 \tabularnewline
92 & 79933 & 81152.4870882111 & 263.219959749619 & -1184.97412543555 & -0.0154314506979657 \tabularnewline
93 & 82118 & 81903.1166194983 & 265.952374520748 & 163.54862157755 & 0.0231076626237903 \tabularnewline
94 & 91420 & 90347.8368039252 & 285.389756842258 & 186.525998984659 & 0.393924010464206 \tabularnewline
95 & 112426 & 109925.826103011 & 308.333531215775 & 404.8419549567 & 0.930190728305594 \tabularnewline
96 & 114528 & 113383.579488799 & 311.780513137858 & 802.329202127807 & 0.151851291367848 \tabularnewline
97 & 131025 & 128528.902783222 & 328.451980732218 & 884.86921195207 & 0.715231623795753 \tabularnewline
98 & 116460 & 118308.360012595 & 324.530109177335 & -702.440298947762 & -0.508418084362895 \tabularnewline
99 & 111258 & 113413.432921216 & 345.290207011366 & -1586.83210426349 & -0.254097918191788 \tabularnewline
100 & 155318 & 150630.416760044 & 535.772295843276 & 794.53025538758 & 1.75059622290639 \tabularnewline
101 & 155078 & 154614.174585431 & 543.740456250643 & 90.680246219899 & 0.166060449543438 \tabularnewline
102 & 134794 & 136545.89504431 & 522.402395063256 & 268.402408217173 & -0.897361157561594 \tabularnewline
103 & 139985 & 138893.552070206 & 524.306708769331 & 893.29529199217 & 0.0880045096311797 \tabularnewline
104 & 198778 & 190991.831446734 & 579.139455457339 & 2187.1941791428 & 2.48669511295193 \tabularnewline
105 & 172436 & 175189.699134986 & 574.393323374186 & -975.202727776295 & -0.789495178144284 \tabularnewline
106 & 169585 & 173133.333612092 & 583.891039719024 & -3261.91023292032 & -0.127944091503658 \tabularnewline
107 & 203702 & 199762.258211277 & 708.411660523534 & 1183.94128882845 & 1.23813661243935 \tabularnewline
108 & 282392 & 272679.229493817 & 871.15357867339 & 1902.51550296448 & 3.47749406014886 \tabularnewline
109 & 220658 & 226283.510395495 & 818.581662347896 & -497.399924958187 & -2.2788944529852 \tabularnewline
110 & 194472 & 197654.908501424 & 789.143463635231 & 12.341300499271 & -1.41977673253418 \tabularnewline
111 & 269246 & 258734.370553048 & 849.95148140421 & 3969.62152252048 & 2.90690222465381 \tabularnewline
112 & 215340 & 221184.19808859 & 841.561934426273 & -1677.23140633509 & -1.85066972682466 \tabularnewline
113 & 218319 & 222750.01917812 & 839.181371511907 & -4509.82912505292 & 0.0351924524152136 \tabularnewline
114 & 195724 & 198867.492645376 & 729.387887662786 & -522.88948282192 & -1.1765395033926 \tabularnewline
115 & 174614 & 175156.837890535 & 675.545944632515 & 2099.33910021212 & -1.17694855104907 \tabularnewline
116 & 172085 & 172428.438750918 & 671.8528885359 & 25.6914312710222 & -0.164113500884272 \tabularnewline
117 & 152347 & 155705.570225068 & 655.115512950516 & -1471.96225117388 & -0.838667115919072 \tabularnewline
118 & 189615 & 181930.796511856 & 679.634569060442 & 4910.88204497734 & 1.2328405505681 \tabularnewline
119 & 173804 & 176497.194587461 & 678.677941071155 & -2030.12479914159 & -0.294621180128077 \tabularnewline
120 & 145683 & 152595.907034471 & 752.41729569937 & -4239.64462647876 & -1.1934314083836 \tabularnewline
121 & 133550 & 135755.911508271 & 679.596847754101 & -338.051228709737 & -0.838073778904102 \tabularnewline
122 & 121156 & 120909.305666736 & 646.103459964644 & 1924.44406728378 & -0.747652091204494 \tabularnewline
123 & 112040 & 112730.864414848 & 636.720577987575 & 265.674018889169 & -0.425450595782071 \tabularnewline
124 & 120767 & 121613.968234828 & 644.387738964874 & -1740.98985182943 & 0.397587126406133 \tabularnewline
125 & 127019 & 122183.521651021 & 644.319398892124 & 4843.59150323235 & -0.00360800410583566 \tabularnewline
126 & 136295 & 136290.962279762 & 645.699540556317 & -1455.62274172584 & 0.648838589236333 \tabularnewline
127 & 113425 & 119465.418145636 & 693.636481209977 & -4141.2192715117 & -0.847692270498211 \tabularnewline
128 & 107815 & 109197.236783923 & 651.219221122176 & -216.739676025946 & -0.522662241982024 \tabularnewline
129 & 100298 & 99464.696263912 & 629.254963877901 & 1954.89915516536 & -0.499998599318838 \tabularnewline
130 & 97048 & 97221.4682689555 & 626.249750969648 & 137.772194289838 & -0.13848726428154 \tabularnewline
131 & 98750 & 100172.145019616 & 628.345173600426 & -1674.04991872635 & 0.112068103676776 \tabularnewline
132 & 98235 & 94513.4700307262 & 622.869865608837 & 4402.88098448535 & -0.303112101316053 \tabularnewline
133 & 101254 & 101605.634354644 & 623.229180953568 & -1052.76219489105 & 0.311779340483042 \tabularnewline
134 & 139589 & 138322.740543452 & 532.50020041688 & -2655.48099967567 & 1.75016216714437 \tabularnewline
135 & 134921 & 135557.444745375 & 520.538367636822 & -285.378424371462 & -0.157363405731111 \tabularnewline
136 & 80355 & 85081.4329066747 & 414.654967733652 & 779.853110982487 & -2.455477527639 \tabularnewline
137 & 80396 & 80870.906642979 & 409.877635947076 & 26.0613598156937 & -0.222985711173909 \tabularnewline
138 & 82183 & 83555.8168663316 & 411.872097268187 & -1619.28406016625 & 0.109686091053255 \tabularnewline
139 & 79709 & 76511.5885591857 & 405.672993846205 & 4005.18476109888 & -0.359470027088085 \tabularnewline
140 & 90781 & 90727.4038775876 & 405.876259863542 & -1442.59672624472 & 0.665562959704377 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159352&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]169498[/C][C]169498[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]125451[/C][C]130937.053535676[/C][C]-4455.53665731428[/C][C]-4460.12121184286[/C][C]-0.926911429104525[/C][/ROW]
[ROW][C]3[/C][C]140449[/C][C]142710.078098116[/C][C]-4038.79301210403[/C][C]-4010.15345050811[/C][C]0.782620714994976[/C][/ROW]
[ROW][C]4[/C][C]141653[/C][C]144903.567159177[/C][C]-3934.76893481059[/C][C]-3933.6536034289[/C][C]0.302123447835382[/C][/ROW]
[ROW][C]5[/C][C]136394[/C][C]140403.489273703[/C][C]-3943.60179486664[/C][C]-3947.46249686999[/C][C]-0.0274076708822582[/C][/ROW]
[ROW][C]6[/C][C]167588[/C][C]167593.70802201[/C][C]-3466.95805487547[/C][C]-3422.18067641097[/C][C]1.50933787098339[/C][/ROW]
[ROW][C]7[/C][C]191807[/C][C]191796.238161062[/C][C]-3049.93512255099[/C][C]-3025.65651934786[/C][C]1.34127395094184[/C][/ROW]
[ROW][C]8[/C][C]149736[/C][C]152666.269255517[/C][C]-185.532163685326[/C][C]1070.64841825932[/C][C]-2.08799983714907[/C][/ROW]
[ROW][C]9[/C][C]196066[/C][C]191402.116976192[/C][C]1690.80356602775[/C][C]1708.10017446522[/C][C]1.56892372815459[/C][/ROW]
[ROW][C]10[/C][C]239155[/C][C]232594.976566411[/C][C]2138.39522611547[/C][C]2260.35236916433[/C][C]1.90438624198915[/C][/ROW]
[ROW][C]11[/C][C]178421[/C][C]182562.09282976[/C][C]1751.25876083569[/C][C]1579.82313728747[/C][C]-2.52094605841796[/C][/ROW]
[ROW][C]12[/C][C]139871[/C][C]143040.196158462[/C][C]1461.33853907814[/C][C]1358.69115284602[/C][C]-1.99447560861594[/C][/ROW]
[ROW][C]13[/C][C]118159[/C][C]119629.316982532[/C][C]1288.34181494879[/C][C]1258.41556977659[/C][C]-1.20191770071876[/C][/ROW]
[ROW][C]14[/C][C]109763[/C][C]109716.530841562[/C][C]1211.97772312326[/C][C]1275.3820491139[/C][C]-0.541234910116319[/C][/ROW]
[ROW][C]15[/C][C]97415[/C][C]106269.578914839[/C][C]1380.44996813675[/C][C]-8340.8141704456[/C][C]-0.24596427322599[/C][/ROW]
[ROW][C]16[/C][C]119190[/C][C]116811.606513464[/C][C]1660.45363045118[/C][C]1569.08686427433[/C][C]0.397550417481158[/C][/ROW]
[ROW][C]17[/C][C]97903[/C][C]98445.4200116472[/C][C]1511.79701233552[/C][C]1641.0710969323[/C][C]-0.965292680883919[/C][/ROW]
[ROW][C]18[/C][C]96953[/C][C]95966.1497355415[/C][C]1492.68495525023[/C][C]1424.19973246098[/C][C]-0.19267216501817[/C][/ROW]
[ROW][C]19[/C][C]87888[/C][C]87601.260704044[/C][C]1447.82844228894[/C][C]1367.25274395105[/C][C]-0.475903869783927[/C][/ROW]
[ROW][C]20[/C][C]84637[/C][C]83798.7073048004[/C][C]1424.03134329764[/C][C]1413.81333670788[/C][C]-0.253481690569541[/C][/ROW]
[ROW][C]21[/C][C]90549[/C][C]88636.9451718952[/C][C]1438.85902148249[/C][C]1537.79025152964[/C][C]0.164811600246706[/C][/ROW]
[ROW][C]22[/C][C]95680[/C][C]101529.904472561[/C][C]1171.85023351316[/C][C]-7110.17471274096[/C][C]0.586397299134794[/C][/ROW]
[ROW][C]23[/C][C]99371[/C][C]98689.0997968492[/C][C]1082.28191560891[/C][C]1059.45977299728[/C][C]-0.179583767159408[/C][/ROW]
[ROW][C]24[/C][C]79984[/C][C]81022.7334436483[/C][C]976.89852191186[/C][C]1005.69890496454[/C][C]-0.903588819249069[/C][/ROW]
[ROW][C]25[/C][C]86752[/C][C]85374.3480108313[/C][C]988.876149882434[/C][C]1008.17269057427[/C][C]0.162846389420012[/C][/ROW]
[ROW][C]26[/C][C]85733[/C][C]84970.7797969872[/C][C]984.168001214215[/C][C]914.701536816526[/C][C]-0.067194318446001[/C][/ROW]
[ROW][C]27[/C][C]84906[/C][C]84149.6269570637[/C][C]978.052093334904[/C][C]954.069496365554[/C][C]-0.0871204409885839[/C][/ROW]
[ROW][C]28[/C][C]78356[/C][C]78132.2744334919[/C][C]956.150182535917[/C][C]989.820527240163[/C][C]-0.337518734264338[/C][/ROW]
[ROW][C]29[/C][C]108895[/C][C]108389.937493613[/C][C]454.609978120552[/C][C]-2714.06772045875[/C][C]1.47699051402312[/C][/ROW]
[ROW][C]30[/C][C]101768[/C][C]102049.824471143[/C][C]335.447143056661[/C][C]380.028426002695[/C][C]-0.30933273009258[/C][/ROW]
[ROW][C]31[/C][C]73285[/C][C]76108.951779292[/C][C]214.546692998096[/C][C]40.1564958762568[/C][C]-1.26627567207558[/C][/ROW]
[ROW][C]32[/C][C]65724[/C][C]66586.5870777267[/C][C]186.968552689405[/C][C]202.447439727425[/C][C]-0.469735261493394[/C][/ROW]
[ROW][C]33[/C][C]67457[/C][C]67255.5840609018[/C][C]188.271567944432[/C][C]148.683088169173[/C][C]0.0232549264660126[/C][/ROW]
[ROW][C]34[/C][C]67203[/C][C]67026.2956257835[/C][C]187.133523189694[/C][C]222.384841720991[/C][C]-0.0201453860817314[/C][/ROW]
[ROW][C]35[/C][C]69273[/C][C]68952.8231977043[/C][C]191.307726846875[/C][C]129.876030955248[/C][C]0.0838981204928852[/C][/ROW]
[ROW][C]36[/C][C]80807[/C][C]79902.860418093[/C][C]46.5569389185018[/C][C]-276.406050771436[/C][C]0.537224678967829[/C][/ROW]
[ROW][C]37[/C][C]75129[/C][C]75412.4899508997[/C][C]-18.801852234495[/C][C]168.187724556693[/C][C]-0.208807130551497[/C][/ROW]
[ROW][C]38[/C][C]74991[/C][C]75146.3629481769[/C][C]-19.7802210185316[/C][C]-128.422033382706[/C][C]-0.011917925196245[/C][/ROW]
[ROW][C]39[/C][C]68157[/C][C]68909.4145791427[/C][C]-34.5041728199261[/C][C]-73.0170851638523[/C][C]-0.299884684162262[/C][/ROW]
[ROW][C]40[/C][C]73858[/C][C]73369.8411545572[/C][C]-24.3332352030595[/C][C]-3.09747223751354[/C][C]0.216816718055083[/C][/ROW]
[ROW][C]41[/C][C]71349[/C][C]71562.7985214635[/C][C]-28.426724887845[/C][C]-18.9635136568823[/C][C]-0.0859938535162169[/C][/ROW]
[ROW][C]42[/C][C]85634[/C][C]84255.0210220654[/C][C]-4.20825111388295[/C][C]-11.3935410324847[/C][C]0.613442315820262[/C][/ROW]
[ROW][C]43[/C][C]91624[/C][C]90483.9063437333[/C][C]-72.9275183988568[/C][C]456.86526157751[/C][C]0.309268307881917[/C][/ROW]
[ROW][C]44[/C][C]116014[/C][C]113200.196293279[/C][C]204.926791850865[/C][C]510.777313623566[/C][C]1.05682426385195[/C][/ROW]
[ROW][C]45[/C][C]120033[/C][C]119229.632726997[/C][C]225.414012185016[/C][C]169.38662471085[/C][C]0.280648837248425[/C][/ROW]
[ROW][C]46[/C][C]108651[/C][C]109693.427834376[/C][C]205.441471643973[/C][C]23.313636673962[/C][C]-0.47079826875659[/C][/ROW]
[ROW][C]47[/C][C]105378[/C][C]105598.101523636[/C][C]197.032630092687[/C][C]249.491949408698[/C][C]-0.207427129104362[/C][/ROW]
[ROW][C]48[/C][C]138939[/C][C]135236.645299551[/C][C]255.815331607217[/C][C]487.685795287577[/C][C]1.4200341997585[/C][/ROW]
[ROW][C]49[/C][C]132974[/C][C]133154.880109824[/C][C]252.212458168547[/C][C]74.3791256497876[/C][C]-0.112710716914602[/C][/ROW]
[ROW][C]50[/C][C]135277[/C][C]136326.062772845[/C][C]225.098531744846[/C][C]-1368.7130603152[/C][C]0.144165411928834[/C][/ROW]
[ROW][C]51[/C][C]152741[/C][C]150615.163713275[/C][C]373.358884565583[/C][C]689.011899726171[/C][C]0.655858836052203[/C][/ROW]
[ROW][C]52[/C][C]158417[/C][C]157281.603085173[/C][C]393.524859876228[/C][C]450.958969346576[/C][C]0.303207627460805[/C][/ROW]
[ROW][C]53[/C][C]157460[/C][C]157225.142582076[/C][C]392.709711515273[/C][C]283.941721316688[/C][C]-0.0217008132884172[/C][/ROW]
[ROW][C]54[/C][C]193997[/C][C]189892.324997799[/C][C]448.525354012824[/C][C]583.847341886312[/C][C]1.55647568947049[/C][/ROW]
[ROW][C]55[/C][C]154089[/C][C]157471.692406177[/C][C]390.150018017679[/C][C]203.003896853577[/C][C]-1.5852299901419[/C][/ROW]
[ROW][C]56[/C][C]147570[/C][C]148417.418225868[/C][C]378.228380487571[/C][C]182.970518433557[/C][C]-0.455327583279036[/C][/ROW]
[ROW][C]57[/C][C]162924[/C][C]162899.282550604[/C][C]265.654577648664[/C][C]-1518.37094261404[/C][C]0.694131088497627[/C][/ROW]
[ROW][C]58[/C][C]153629[/C][C]154191.916879896[/C][C]182.547552471494[/C][C]361.380801000306[/C][C]-0.420252482877542[/C][/ROW]
[ROW][C]59[/C][C]155907[/C][C]155449.973310861[/C][C]185.744535626791[/C][C]340.147746472247[/C][C]0.051816079213213[/C][/ROW]
[ROW][C]60[/C][C]197675[/C][C]193383.451277191[/C][C]247.468023896427[/C][C]177.511785179766[/C][C]1.8202952867906[/C][/ROW]
[ROW][C]61[/C][C]250708[/C][C]244011.447230551[/C][C]325.934589520365[/C][C]1205.20404484247[/C][C]2.42950992203631[/C][/ROW]
[ROW][C]62[/C][C]266652[/C][C]264165.644201201[/C][C]357.793303603372[/C][C]325.131446534886[/C][C]0.956228767747404[/C][/ROW]
[ROW][C]63[/C][C]209842[/C][C]215825.581517896[/C][C]307.160768731918[/C][C]-675.147455696899[/C][C]-2.34757378892557[/C][/ROW]
[ROW][C]64[/C][C]165826[/C][C]173977.069226678[/C][C]600.5372108446[/C][C]-3542.61796982267[/C][C]-2.0690320355247[/C][/ROW]
[ROW][C]65[/C][C]137152[/C][C]140368.953708906[/C][C]318.690251126367[/C][C]329.585766848085[/C][C]-1.60766326142377[/C][/ROW]
[ROW][C]66[/C][C]150581[/C][C]149175.375563996[/C][C]342.416316652667[/C][C]483.961489027731[/C][C]0.408899259245167[/C][/ROW]
[ROW][C]67[/C][C]145973[/C][C]146600.105410264[/C][C]338.041303409525[/C][C]-309.367020050187[/C][C]-0.140691855057143[/C][/ROW]
[ROW][C]68[/C][C]126532[/C][C]127991.936474999[/C][C]311.083160530731[/C][C]603.503726848676[/C][C]-0.913602904465436[/C][/ROW]
[ROW][C]69[/C][C]115437[/C][C]116179.765656397[/C][C]293.232672455355[/C][C]577.579584298381[/C][C]-0.584622408947455[/C][/ROW]
[ROW][C]70[/C][C]119526[/C][C]119408.442248492[/C][C]295.749751587069[/C][C]-202.171975216535[/C][C]0.141498706374743[/C][/ROW]
[ROW][C]71[/C][C]110856[/C][C]113364.30933113[/C][C]334.647604674248[/C][C]-1815.77564101539[/C][C]-0.310470540305816[/C][/ROW]
[ROW][C]72[/C][C]97243[/C][C]98798.8735904925[/C][C]224.35468590014[/C][C]-3.14660262513676[/C][C]-0.70219973625185[/C][/ROW]
[ROW][C]73[/C][C]103876[/C][C]102983.88597125[/C][C]234.875730120167[/C][C]462.36137416798[/C][C]0.190794756778124[/C][/ROW]
[ROW][C]74[/C][C]116370[/C][C]115133.104121762[/C][C]251.477009638543[/C][C]-59.6160467505957[/C][C]0.574492153008967[/C][/ROW]
[ROW][C]75[/C][C]109616[/C][C]109685.874309717[/C][C]243.982177939882[/C][C]550.312022355286[/C][C]-0.274786387132556[/C][/ROW]
[ROW][C]76[/C][C]98365[/C][C]99206.5971605567[/C][C]229.369158292506[/C][C]325.404843915958[/C][C]-0.517089917734022[/C][/ROW]
[ROW][C]77[/C][C]90440[/C][C]91557.378258286[/C][C]223.811846148126[/C][C]-259.88117601042[/C][C]-0.379754454715439[/C][/ROW]
[ROW][C]78[/C][C]88899[/C][C]90150.3651821358[/C][C]232.709533942306[/C][C]-1073.35411359825[/C][C]-0.0797152619338697[/C][/ROW]
[ROW][C]79[/C][C]92358[/C][C]92153.2472520563[/C][C]244.577261849124[/C][C]19.5071360921081[/C][C]0.0836172996925343[/C][/ROW]
[ROW][C]80[/C][C]88394[/C][C]88579.5539602462[/C][C]234.860386895759[/C][C]228.450359631486[/C][C]-0.183924915851982[/C][/ROW]
[ROW][C]81[/C][C]98219[/C][C]97199.4128260982[/C][C]245.840506866129[/C][C]107.772396113211[/C][C]0.404300132729351[/C][/ROW]
[ROW][C]82[/C][C]113546[/C][C]111206.412145176[/C][C]262.732170961768[/C][C]843.006473650429[/C][C]0.663530880190951[/C][/ROW]
[ROW][C]83[/C][C]107168[/C][C]107296.065129335[/C][C]257.428470892281[/C][C]325.773293109485[/C][C]-0.201224860210026[/C][/ROW]
[ROW][C]84[/C][C]77540[/C][C]81021.8315810544[/C][C]242.129439734526[/C][C]-596.164141502486[/C][C]-1.27879228463872[/C][/ROW]
[ROW][C]85[/C][C]74944[/C][C]76657.4762900108[/C][C]264.632422149896[/C][C]-1211.00983933195[/C][C]-0.224815104202655[/C][/ROW]
[ROW][C]86[/C][C]75641[/C][C]75651.8834417949[/C][C]256.867319512127[/C][C]122.507639815996[/C][C]-0.0601192288512739[/C][/ROW]
[ROW][C]87[/C][C]75910[/C][C]75747.62305859[/C][C]256.472026693068[/C][C]179.835709057625[/C][C]-0.00776102702515737[/C][/ROW]
[ROW][C]88[/C][C]87384[/C][C]86201.9296508643[/C][C]269.144691886503[/C][C]73.839179907846[/C][C]0.491697641388532[/C][/ROW]
[ROW][C]89[/C][C]84615[/C][C]84128.7368441603[/C][C]266.439177671969[/C][C]740.838844331862[/C][C]-0.112939399844715[/C][/ROW]
[ROW][C]90[/C][C]80420[/C][C]80258.7182617197[/C][C]261.506907059435[/C][C]610.85030597712[/C][C]-0.199453335701766[/C][/ROW]
[ROW][C]91[/C][C]80784[/C][C]81207.2738039082[/C][C]261.827461300032[/C][C]-497.951193111091[/C][C]0.0331137543126797[/C][/ROW]
[ROW][C]92[/C][C]79933[/C][C]81152.4870882111[/C][C]263.219959749619[/C][C]-1184.97412543555[/C][C]-0.0154314506979657[/C][/ROW]
[ROW][C]93[/C][C]82118[/C][C]81903.1166194983[/C][C]265.952374520748[/C][C]163.54862157755[/C][C]0.0231076626237903[/C][/ROW]
[ROW][C]94[/C][C]91420[/C][C]90347.8368039252[/C][C]285.389756842258[/C][C]186.525998984659[/C][C]0.393924010464206[/C][/ROW]
[ROW][C]95[/C][C]112426[/C][C]109925.826103011[/C][C]308.333531215775[/C][C]404.8419549567[/C][C]0.930190728305594[/C][/ROW]
[ROW][C]96[/C][C]114528[/C][C]113383.579488799[/C][C]311.780513137858[/C][C]802.329202127807[/C][C]0.151851291367848[/C][/ROW]
[ROW][C]97[/C][C]131025[/C][C]128528.902783222[/C][C]328.451980732218[/C][C]884.86921195207[/C][C]0.715231623795753[/C][/ROW]
[ROW][C]98[/C][C]116460[/C][C]118308.360012595[/C][C]324.530109177335[/C][C]-702.440298947762[/C][C]-0.508418084362895[/C][/ROW]
[ROW][C]99[/C][C]111258[/C][C]113413.432921216[/C][C]345.290207011366[/C][C]-1586.83210426349[/C][C]-0.254097918191788[/C][/ROW]
[ROW][C]100[/C][C]155318[/C][C]150630.416760044[/C][C]535.772295843276[/C][C]794.53025538758[/C][C]1.75059622290639[/C][/ROW]
[ROW][C]101[/C][C]155078[/C][C]154614.174585431[/C][C]543.740456250643[/C][C]90.680246219899[/C][C]0.166060449543438[/C][/ROW]
[ROW][C]102[/C][C]134794[/C][C]136545.89504431[/C][C]522.402395063256[/C][C]268.402408217173[/C][C]-0.897361157561594[/C][/ROW]
[ROW][C]103[/C][C]139985[/C][C]138893.552070206[/C][C]524.306708769331[/C][C]893.29529199217[/C][C]0.0880045096311797[/C][/ROW]
[ROW][C]104[/C][C]198778[/C][C]190991.831446734[/C][C]579.139455457339[/C][C]2187.1941791428[/C][C]2.48669511295193[/C][/ROW]
[ROW][C]105[/C][C]172436[/C][C]175189.699134986[/C][C]574.393323374186[/C][C]-975.202727776295[/C][C]-0.789495178144284[/C][/ROW]
[ROW][C]106[/C][C]169585[/C][C]173133.333612092[/C][C]583.891039719024[/C][C]-3261.91023292032[/C][C]-0.127944091503658[/C][/ROW]
[ROW][C]107[/C][C]203702[/C][C]199762.258211277[/C][C]708.411660523534[/C][C]1183.94128882845[/C][C]1.23813661243935[/C][/ROW]
[ROW][C]108[/C][C]282392[/C][C]272679.229493817[/C][C]871.15357867339[/C][C]1902.51550296448[/C][C]3.47749406014886[/C][/ROW]
[ROW][C]109[/C][C]220658[/C][C]226283.510395495[/C][C]818.581662347896[/C][C]-497.399924958187[/C][C]-2.2788944529852[/C][/ROW]
[ROW][C]110[/C][C]194472[/C][C]197654.908501424[/C][C]789.143463635231[/C][C]12.341300499271[/C][C]-1.41977673253418[/C][/ROW]
[ROW][C]111[/C][C]269246[/C][C]258734.370553048[/C][C]849.95148140421[/C][C]3969.62152252048[/C][C]2.90690222465381[/C][/ROW]
[ROW][C]112[/C][C]215340[/C][C]221184.19808859[/C][C]841.561934426273[/C][C]-1677.23140633509[/C][C]-1.85066972682466[/C][/ROW]
[ROW][C]113[/C][C]218319[/C][C]222750.01917812[/C][C]839.181371511907[/C][C]-4509.82912505292[/C][C]0.0351924524152136[/C][/ROW]
[ROW][C]114[/C][C]195724[/C][C]198867.492645376[/C][C]729.387887662786[/C][C]-522.88948282192[/C][C]-1.1765395033926[/C][/ROW]
[ROW][C]115[/C][C]174614[/C][C]175156.837890535[/C][C]675.545944632515[/C][C]2099.33910021212[/C][C]-1.17694855104907[/C][/ROW]
[ROW][C]116[/C][C]172085[/C][C]172428.438750918[/C][C]671.8528885359[/C][C]25.6914312710222[/C][C]-0.164113500884272[/C][/ROW]
[ROW][C]117[/C][C]152347[/C][C]155705.570225068[/C][C]655.115512950516[/C][C]-1471.96225117388[/C][C]-0.838667115919072[/C][/ROW]
[ROW][C]118[/C][C]189615[/C][C]181930.796511856[/C][C]679.634569060442[/C][C]4910.88204497734[/C][C]1.2328405505681[/C][/ROW]
[ROW][C]119[/C][C]173804[/C][C]176497.194587461[/C][C]678.677941071155[/C][C]-2030.12479914159[/C][C]-0.294621180128077[/C][/ROW]
[ROW][C]120[/C][C]145683[/C][C]152595.907034471[/C][C]752.41729569937[/C][C]-4239.64462647876[/C][C]-1.1934314083836[/C][/ROW]
[ROW][C]121[/C][C]133550[/C][C]135755.911508271[/C][C]679.596847754101[/C][C]-338.051228709737[/C][C]-0.838073778904102[/C][/ROW]
[ROW][C]122[/C][C]121156[/C][C]120909.305666736[/C][C]646.103459964644[/C][C]1924.44406728378[/C][C]-0.747652091204494[/C][/ROW]
[ROW][C]123[/C][C]112040[/C][C]112730.864414848[/C][C]636.720577987575[/C][C]265.674018889169[/C][C]-0.425450595782071[/C][/ROW]
[ROW][C]124[/C][C]120767[/C][C]121613.968234828[/C][C]644.387738964874[/C][C]-1740.98985182943[/C][C]0.397587126406133[/C][/ROW]
[ROW][C]125[/C][C]127019[/C][C]122183.521651021[/C][C]644.319398892124[/C][C]4843.59150323235[/C][C]-0.00360800410583566[/C][/ROW]
[ROW][C]126[/C][C]136295[/C][C]136290.962279762[/C][C]645.699540556317[/C][C]-1455.62274172584[/C][C]0.648838589236333[/C][/ROW]
[ROW][C]127[/C][C]113425[/C][C]119465.418145636[/C][C]693.636481209977[/C][C]-4141.2192715117[/C][C]-0.847692270498211[/C][/ROW]
[ROW][C]128[/C][C]107815[/C][C]109197.236783923[/C][C]651.219221122176[/C][C]-216.739676025946[/C][C]-0.522662241982024[/C][/ROW]
[ROW][C]129[/C][C]100298[/C][C]99464.696263912[/C][C]629.254963877901[/C][C]1954.89915516536[/C][C]-0.499998599318838[/C][/ROW]
[ROW][C]130[/C][C]97048[/C][C]97221.4682689555[/C][C]626.249750969648[/C][C]137.772194289838[/C][C]-0.13848726428154[/C][/ROW]
[ROW][C]131[/C][C]98750[/C][C]100172.145019616[/C][C]628.345173600426[/C][C]-1674.04991872635[/C][C]0.112068103676776[/C][/ROW]
[ROW][C]132[/C][C]98235[/C][C]94513.4700307262[/C][C]622.869865608837[/C][C]4402.88098448535[/C][C]-0.303112101316053[/C][/ROW]
[ROW][C]133[/C][C]101254[/C][C]101605.634354644[/C][C]623.229180953568[/C][C]-1052.76219489105[/C][C]0.311779340483042[/C][/ROW]
[ROW][C]134[/C][C]139589[/C][C]138322.740543452[/C][C]532.50020041688[/C][C]-2655.48099967567[/C][C]1.75016216714437[/C][/ROW]
[ROW][C]135[/C][C]134921[/C][C]135557.444745375[/C][C]520.538367636822[/C][C]-285.378424371462[/C][C]-0.157363405731111[/C][/ROW]
[ROW][C]136[/C][C]80355[/C][C]85081.4329066747[/C][C]414.654967733652[/C][C]779.853110982487[/C][C]-2.455477527639[/C][/ROW]
[ROW][C]137[/C][C]80396[/C][C]80870.906642979[/C][C]409.877635947076[/C][C]26.0613598156937[/C][C]-0.222985711173909[/C][/ROW]
[ROW][C]138[/C][C]82183[/C][C]83555.8168663316[/C][C]411.872097268187[/C][C]-1619.28406016625[/C][C]0.109686091053255[/C][/ROW]
[ROW][C]139[/C][C]79709[/C][C]76511.5885591857[/C][C]405.672993846205[/C][C]4005.18476109888[/C][C]-0.359470027088085[/C][/ROW]
[ROW][C]140[/C][C]90781[/C][C]90727.4038775876[/C][C]405.876259863542[/C][C]-1442.59672624472[/C][C]0.665562959704377[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159352&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159352&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
1169498169498000
2125451130937.053535676-4455.53665731428-4460.12121184286-0.926911429104525
3140449142710.078098116-4038.79301210403-4010.153450508110.782620714994976
4141653144903.567159177-3934.76893481059-3933.65360342890.302123447835382
5136394140403.489273703-3943.60179486664-3947.46249686999-0.0274076708822582
6167588167593.70802201-3466.95805487547-3422.180676410971.50933787098339
7191807191796.238161062-3049.93512255099-3025.656519347861.34127395094184
8149736152666.269255517-185.5321636853261070.64841825932-2.08799983714907
9196066191402.1169761921690.803566027751708.100174465221.56892372815459
10239155232594.9765664112138.395226115472260.352369164331.90438624198915
11178421182562.092829761751.258760835691579.82313728747-2.52094605841796
12139871143040.1961584621461.338539078141358.69115284602-1.99447560861594
13118159119629.3169825321288.341814948791258.41556977659-1.20191770071876
14109763109716.5308415621211.977723123261275.3820491139-0.541234910116319
1597415106269.5789148391380.44996813675-8340.8141704456-0.24596427322599
16119190116811.6065134641660.453630451181569.086864274330.397550417481158
179790398445.42001164721511.797012335521641.0710969323-0.965292680883919
189695395966.14973554151492.684955250231424.19973246098-0.19267216501817
198788887601.2607040441447.828442288941367.25274395105-0.475903869783927
208463783798.70730480041424.031343297641413.81333670788-0.253481690569541
219054988636.94517189521438.859021482491537.790251529640.164811600246706
2295680101529.9044725611171.85023351316-7110.174712740960.586397299134794
239937198689.09979684921082.281915608911059.45977299728-0.179583767159408
247998481022.7334436483976.898521911861005.69890496454-0.903588819249069
258675285374.3480108313988.8761498824341008.172690574270.162846389420012
268573384970.7797969872984.168001214215914.701536816526-0.067194318446001
278490684149.6269570637978.052093334904954.069496365554-0.0871204409885839
287835678132.2744334919956.150182535917989.820527240163-0.337518734264338
29108895108389.937493613454.609978120552-2714.067720458751.47699051402312
30101768102049.824471143335.447143056661380.028426002695-0.30933273009258
317328576108.951779292214.54669299809640.1564958762568-1.26627567207558
326572466586.5870777267186.968552689405202.447439727425-0.469735261493394
336745767255.5840609018188.271567944432148.6830881691730.0232549264660126
346720367026.2956257835187.133523189694222.384841720991-0.0201453860817314
356927368952.8231977043191.307726846875129.8760309552480.0838981204928852
368080779902.86041809346.5569389185018-276.4060507714360.537224678967829
377512975412.4899508997-18.801852234495168.187724556693-0.208807130551497
387499175146.3629481769-19.7802210185316-128.422033382706-0.011917925196245
396815768909.4145791427-34.5041728199261-73.0170851638523-0.299884684162262
407385873369.8411545572-24.3332352030595-3.097472237513540.216816718055083
417134971562.7985214635-28.426724887845-18.9635136568823-0.0859938535162169
428563484255.0210220654-4.20825111388295-11.39354103248470.613442315820262
439162490483.9063437333-72.9275183988568456.865261577510.309268307881917
44116014113200.196293279204.926791850865510.7773136235661.05682426385195
45120033119229.632726997225.414012185016169.386624710850.280648837248425
46108651109693.427834376205.44147164397323.313636673962-0.47079826875659
47105378105598.101523636197.032630092687249.491949408698-0.207427129104362
48138939135236.645299551255.815331607217487.6857952875771.4200341997585
49132974133154.880109824252.21245816854774.3791256497876-0.112710716914602
50135277136326.062772845225.098531744846-1368.71306031520.144165411928834
51152741150615.163713275373.358884565583689.0118997261710.655858836052203
52158417157281.603085173393.524859876228450.9589693465760.303207627460805
53157460157225.142582076392.709711515273283.941721316688-0.0217008132884172
54193997189892.324997799448.525354012824583.8473418863121.55647568947049
55154089157471.692406177390.150018017679203.003896853577-1.5852299901419
56147570148417.418225868378.228380487571182.970518433557-0.455327583279036
57162924162899.282550604265.654577648664-1518.370942614040.694131088497627
58153629154191.916879896182.547552471494361.380801000306-0.420252482877542
59155907155449.973310861185.744535626791340.1477464722470.051816079213213
60197675193383.451277191247.468023896427177.5117851797661.8202952867906
61250708244011.447230551325.9345895203651205.204044842472.42950992203631
62266652264165.644201201357.793303603372325.1314465348860.956228767747404
63209842215825.581517896307.160768731918-675.147455696899-2.34757378892557
64165826173977.069226678600.5372108446-3542.61796982267-2.0690320355247
65137152140368.953708906318.690251126367329.585766848085-1.60766326142377
66150581149175.375563996342.416316652667483.9614890277310.408899259245167
67145973146600.105410264338.041303409525-309.367020050187-0.140691855057143
68126532127991.936474999311.083160530731603.503726848676-0.913602904465436
69115437116179.765656397293.232672455355577.579584298381-0.584622408947455
70119526119408.442248492295.749751587069-202.1719752165350.141498706374743
71110856113364.30933113334.647604674248-1815.77564101539-0.310470540305816
729724398798.8735904925224.35468590014-3.14660262513676-0.70219973625185
73103876102983.88597125234.875730120167462.361374167980.190794756778124
74116370115133.104121762251.477009638543-59.61604675059570.574492153008967
75109616109685.874309717243.982177939882550.312022355286-0.274786387132556
769836599206.5971605567229.369158292506325.404843915958-0.517089917734022
779044091557.378258286223.811846148126-259.88117601042-0.379754454715439
788889990150.3651821358232.709533942306-1073.35411359825-0.0797152619338697
799235892153.2472520563244.57726184912419.50713609210810.0836172996925343
808839488579.5539602462234.860386895759228.450359631486-0.183924915851982
819821997199.4128260982245.840506866129107.7723961132110.404300132729351
82113546111206.412145176262.732170961768843.0064736504290.663530880190951
83107168107296.065129335257.428470892281325.773293109485-0.201224860210026
847754081021.8315810544242.129439734526-596.164141502486-1.27879228463872
857494476657.4762900108264.632422149896-1211.00983933195-0.224815104202655
867564175651.8834417949256.867319512127122.507639815996-0.0601192288512739
877591075747.62305859256.472026693068179.835709057625-0.00776102702515737
888738486201.9296508643269.14469188650373.8391799078460.491697641388532
898461584128.7368441603266.439177671969740.838844331862-0.112939399844715
908042080258.7182617197261.506907059435610.85030597712-0.199453335701766
918078481207.2738039082261.827461300032-497.9511931110910.0331137543126797
927993381152.4870882111263.219959749619-1184.97412543555-0.0154314506979657
938211881903.1166194983265.952374520748163.548621577550.0231076626237903
949142090347.8368039252285.389756842258186.5259989846590.393924010464206
95112426109925.826103011308.333531215775404.84195495670.930190728305594
96114528113383.579488799311.780513137858802.3292021278070.151851291367848
97131025128528.902783222328.451980732218884.869211952070.715231623795753
98116460118308.360012595324.530109177335-702.440298947762-0.508418084362895
99111258113413.432921216345.290207011366-1586.83210426349-0.254097918191788
100155318150630.416760044535.772295843276794.530255387581.75059622290639
101155078154614.174585431543.74045625064390.6802462198990.166060449543438
102134794136545.89504431522.402395063256268.402408217173-0.897361157561594
103139985138893.552070206524.306708769331893.295291992170.0880045096311797
104198778190991.831446734579.1394554573392187.19417914282.48669511295193
105172436175189.699134986574.393323374186-975.202727776295-0.789495178144284
106169585173133.333612092583.891039719024-3261.91023292032-0.127944091503658
107203702199762.258211277708.4116605235341183.941288828451.23813661243935
108282392272679.229493817871.153578673391902.515502964483.47749406014886
109220658226283.510395495818.581662347896-497.399924958187-2.2788944529852
110194472197654.908501424789.14346363523112.341300499271-1.41977673253418
111269246258734.370553048849.951481404213969.621522520482.90690222465381
112215340221184.19808859841.561934426273-1677.23140633509-1.85066972682466
113218319222750.01917812839.181371511907-4509.829125052920.0351924524152136
114195724198867.492645376729.387887662786-522.88948282192-1.1765395033926
115174614175156.837890535675.5459446325152099.33910021212-1.17694855104907
116172085172428.438750918671.852888535925.6914312710222-0.164113500884272
117152347155705.570225068655.115512950516-1471.96225117388-0.838667115919072
118189615181930.796511856679.6345690604424910.882044977341.2328405505681
119173804176497.194587461678.677941071155-2030.12479914159-0.294621180128077
120145683152595.907034471752.41729569937-4239.64462647876-1.1934314083836
121133550135755.911508271679.596847754101-338.051228709737-0.838073778904102
122121156120909.305666736646.1034599646441924.44406728378-0.747652091204494
123112040112730.864414848636.720577987575265.674018889169-0.425450595782071
124120767121613.968234828644.387738964874-1740.989851829430.397587126406133
125127019122183.521651021644.3193988921244843.59150323235-0.00360800410583566
126136295136290.962279762645.699540556317-1455.622741725840.648838589236333
127113425119465.418145636693.636481209977-4141.2192715117-0.847692270498211
128107815109197.236783923651.219221122176-216.739676025946-0.522662241982024
12910029899464.696263912629.2549638779011954.89915516536-0.499998599318838
1309704897221.4682689555626.249750969648137.772194289838-0.13848726428154
13198750100172.145019616628.345173600426-1674.049918726350.112068103676776
1329823594513.4700307262622.8698656088374402.88098448535-0.303112101316053
133101254101605.634354644623.229180953568-1052.762194891050.311779340483042
134139589138322.740543452532.50020041688-2655.480999675671.75016216714437
135134921135557.444745375520.538367636822-285.378424371462-0.157363405731111
1368035585081.4329066747414.654967733652779.853110982487-2.455477527639
1378039680870.906642979409.87763594707626.0613598156937-0.222985711173909
1388218383555.8168663316411.872097268187-1619.284060166250.109686091053255
1397970976511.5885591857405.6729938462054005.18476109888-0.359470027088085
1409078190727.4038775876405.876259863542-1442.596726244720.665562959704377



Parameters (Session):
par1 = 7 ;
Parameters (R input):
par1 = 7 ;
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')