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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 computationMon, 27 Dec 2010 14:21:36 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/27/t1293459639utm05iga9ejoh6w.htm/, Retrieved Mon, 06 May 2024 14:05:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116006, Retrieved Mon, 06 May 2024 14:05:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [STSM- NWWZ] [2010-12-27 14:21:36] [63a115f47699ab31b1a302b9539c58a2] [Current]
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Dataseries X:
206010
198112
194519
185705
180173
176142
203401
221902
197378
185001
176356
180449
180144
173666
165688
161570
156145
153730
182698
200765
176512
166618
158644
159585
163095
159044
155511
153745
150569
150605
179612
194690
189917
184128
175335
179566
181140
177876
175041
169292
166070
166972
206348
215706
202108
195411
193111
195198
198770
194163
190420
189733
186029
191531
232571
243477
227247
217859
208679
213188
216234
213586
209465
204045
200237
203666
241476
260307
243324
244460
233575
237217
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330
169362
166827
178037
186413
189226
191563
188906
186005
195309
223532
226899
214126
206903
204442
220375
214320
212588
205816
202196
195722
198563
229139
229527
211868
203555
195770




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116006&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116006&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116006&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 time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1206010206010000
2198112200283.109783875-4599.66453597477-2171.10978387525-1.31862493573313
3194519193748.328553908-5840.01836266856770.671446091604-0.282704581494234
4185705186121.197379702-7042.21238172955-416.197379701553-0.266285485136702
5180173179779.939792294-6577.3041166279393.0602077062560.100414763351537
6176142175500.673487757-5060.68258219777641.3265122428430.33131406355305
7203401195581.76919621411592.63215167967819.230803785623.64116455374229
8221902220267.52803129820274.39189178711634.471968701761.89695465650162
9197378208923.594477999-687.947639494629-11545.5944779989-4.58051806555534
10185001188272.562463755-13919.8502749352-3271.56246375479-2.89134737528439
11176356174376.37284121-13904.16918949311979.627158790180.00342649964194933
12180449175624.246200397-3862.064339842834824.753799603422.1943189766364
13180144178532.751703064588.1746206685191611.248296935780.99606590438505
14173666176661.440211519-1013.96029136161-2995.4402115192-0.349336686643145
15165688166379.318227394-6849.97328929047-691.318227393939-1.27533801693679
16161570159465.133379099-6890.901627552862104.86662090063-0.00906384453138576
17156145154949.574815777-5367.121140056511195.425184223130.331971187353714
18153730159795.0330608171141.18771367786-6065.033060817191.41696783045283
19182698176580.40095741911110.62488948486117.599042580712.17910359713113
20200765190230.61064688112732.441790235510534.38935311870.354471068690958
21176512186814.7351748992412.59916954907-10302.7351748986-2.25486198332089
22166618173597.84789691-7574.44952242811-6979.84789690985-2.1824309524722
23158644161922.861439114-10192.0200172655-3278.86143911428-0.571983836040125
24159585155687.192825397-7670.608835942783897.807174602660.551977663250229
25163095157282.256953551-1756.22123993395812.743046449331.30007107989644
26159044157797.16322914-311.7248029535051246.836770859540.315023732176737
27155511155490.312843015-1564.7953248918320.6871569847786-0.273488418903559
28153745151963.478256056-2800.021898851331781.52174394361-0.271646001221344
29150569152270.458353671-832.518987696347-1701.45835367120.43028904246281
30150605160749.07487545048.33910384641-10144.07487539981.28141876324862
31179612173565.0564279699945.517467280116046.943572030991.06932807845214
32194690180441.1106014478007.8889777444414248.8893985527-0.423482449628982
33189917192908.87017805710826.1682745061-2991.870178056690.615834290484045
34184128193152.7871789584139.82790479826-9024.78717895844-1.4610425271138
35175335183848.063250091-4346.81546376042-8513.06325009148-1.8549775553989
36179566178532.47911442-4958.136259178231033.52088558004-0.133827154475653
37181140175326.010993345-3851.469584450695813.9890066550.242335437357563
38177876174282.939667669-2081.891376369333593.060332331180.386087158039522
39175041173158.81745396-1482.011977116581882.182546040270.1309829340609
40169292168994.249367709-3163.13862924079297.750632291293-0.368567267034374
41166070169646.309863289-763.205362090949-3576.309863289440.525195350873923
42166972177455.6353367914626.29242174081-10483.63533679131.1758814474454
43206348196321.83275686813563.311199575310026.16724313221.9507526772774
44215706205815.79714477111008.79140765989890.20285522912-0.558145810918597
45202108204973.2245692273563.38744004507-2865.22456922663-1.62699829422687
46195411201522.098004694-843.370307251786-6111.09800469404-0.963006175797857
47193111200969.451858168-660.808414645414-7858.45185816790.0399127134042939
48195198196254.892861228-3207.11727861893-1056.89286122749-0.557147412377684
49198770193307.199120087-3044.071650192695462.800879912940.0356549306062865
50194163190009.950928879-3202.865114397324153.04907112133-0.0346575473208743
51190420186574.038746007-3348.533557124623845.96125399319-0.0318157697883962
52189733188530.143697537-32.19890982192151202.856302462520.726095908233123
53186029192484.2612884982466.05880408533-6455.261288498410.546665559077637
54191531204715.9236936198587.51207231675-13184.92369361931.33669696185798
55232571219814.57473923612663.589453525812756.42526076410.889770826905143
56243477230541.28257136211451.580886204812935.7174286375-0.264751257599742
57227247231372.5343488394803.80587214477-4125.53434883918-1.45268604603741
58217859226696.479189295-1130.72628629846-8837.47918929496-1.29707740133963
59208679217491.164773179-6185.61047580729-8812.16477317872-1.10525909344435
60213188213154.618540323-5027.4994938490433.38145967655290.253298113116776
61216234209660.257915201-4067.087559738796573.74208479910.209901025183713
62213586207871.546543988-2642.164780880545714.453456012040.311068995341031
63209465206322.216372048-1960.203245851893142.783627951540.148972379749681
64204045204244.079825336-2033.80372268019-199.079825335904-0.0161041908561374
65200237208692.7910568412018.74919258869-8455.791056840620.886612053302789
66203666218109.2149732326645.52525770887-14443.21497323181.0107774704751
67241476227988.1974873468665.917775974613487.80251265380.441108452115652
68260307242223.3278283812143.209048819118083.67217161970.75947603736066
69243324246698.1135702747355.56522068407-3374.11357027425-1.04617633912792
70244460250995.4584275835445.9307169345-6535.45842758265-0.417433774206057
71233575246239.323251358-926.478998484938-12664.3232513583-1.3934104185426
72237217239149.887039858-4777.95752681423-1932.88703985847-0.842153462146967
73235243230231.115284359-7365.61612180265011.88471564104-0.565387368669809
74230354223773.131548917-6799.189370078126580.868451083420.123673309821742
75227184221902.5534594-3728.196205073535281.446540599640.67090851790023
76221678222647.455542856-940.852685005029-969.4555428561610.609678165246867
77217142226712.0454098242182.18697207932-9570.04540982410.683142241913136
78219452234245.6318346875522.80404512864-14793.63183468720.729973073126241
79256446244198.3829054968286.2467716467912247.61709450410.603434303596034
80265845247683.0442912065293.5591389970918161.955708794-0.653597280914804
81248624251443.9184950414338.59004187538-2819.91849504131-0.208669902573859
82241114247003.50596222-1132.19171887157-5889.50596221952-1.19597039490213
83229245240671.185581779-4374.2572642998-11426.1855817794-0.708927423230605
84231805232790.233444466-6561.62730477453-985.23344446614-0.478202105051098
85219277217001.238053042-12316.47956857732275.76194695786-1.25723942192888
86219313211332.401361158-8175.313596171547980.59863884160.904277844607874
87212610207592.106521496-5415.78364948955017.893478504410.6028958998763
88214771213895.7924450881876.65756904108875.2075549117871.59475873324332
89211142221701.7921155775569.90235359118-10559.79211557690.807762121233438
90211457228055.5333484066058.38528692768-16598.53334840550.106753132723758
91240048228586.1150951262615.3683743487411461.8849048736-0.751923287785187
92240636224241.991711658-1715.5511355527316394.0082883419-0.94585801839996
93230580228503.6026456752002.35012756662076.397354325350.812379260512101
94208795217569.61560968-6045.42313017666-8774.6156096797-1.75937952165
95197922207649.778936472-8457.01668199455-9727.7789364724-0.527323488365865
96194596193514.743192979-11992.90662789131081.25680702127-0.772931457783252
97194581190700.9814774-6277.966086515773880.018522599691.24845184974666
98185686180975.753770086-8422.072828382524710.24622991417-0.468232156966252
99178106176067.821937746-6238.440495757152038.178062254130.477090650021946
100172608173358.960267088-4045.08970247495-750.9602670880280.479592287988124
101167302176270.880631625281.715934089592-8968.880631625440.946225918545667
102168053181558.4460412183396.51305971685-13505.44604121830.680744459035626
103202300188485.1813776955592.1791048008413814.81862230530.479558815181079
104202388189609.3359681742815.6009682742412778.6640318256-0.606407110459082
105182516179640.539382397-5124.92399548412875.46061760332-1.73501835998772
106173476178472.492736846-2666.96699474259-4996.492736846090.537349176778076
107166444175073.706988861-3121.81386843981-8629.70698886114-0.0994543327109596
108171297172616.63623776-2708.47672000346-1319.636237760080.0903475069198403
109169701165572.225997232-5403.931171059854128.77400276786-0.588823504274659
110164182159989.330848364-5515.086078754514192.66915163592-0.0242757331098949
111161914159467.150531239-2416.421552893762446.84946876080.677025853150317
112159612161849.620450504562.002072245077-2237.620450504280.651191586698644
113151001162577.510301611665.03229837288-11576.5103016110.0225295011911768
114158114170752.5252982655331.40353863347-12638.52529826451.01986279136083
115186530172289.9999062012974.8581915160214240.0000937991-0.514733727123633
116187069171047.166595641357.17831665832516021.833404359-0.57172253610119
117174330172414.858023977984.0139148704251915.141976022650.136963602528149
118169362174157.5312553821454.66861716228-4795.531255381860.102890363007201
119166827175436.6660299521345.71317346924-8609.6660299519-0.0238225566413786
120178037177220.3920396211617.70035319194816.6079603791570.0594482735521231
121186413181263.850596893123.641983865085149.14940310990.328975381755206
122189226186247.5995814284277.507466045512978.400418571670.252013409270007
123191563190663.0075253194362.9928549446899.9924746806520.0186779429061571
124188906192503.5861021792799.24853034303-3597.58610217918-0.341865717159265
125186005198957.5974042945066.35276190169-12952.59740429350.495704946314452
126195309206045.9037023816321.09883679113-10736.90370238130.2742322078
127223532208955.4535224334204.6504955092414576.5464775672-0.462315945778104
128226899211486.8401126953167.348672764215412.1598873053-0.226563993733158
129214126212847.0340645292047.618013730241278.96593547067-0.244660431046521
130206903212242.432296491404.140320608268-5339.43229649135-0.359270529900228
131204442212971.385883873605.515379350774-8529.385883872980.0440274656527811
132220375218859.1592964683881.559261488451515.840703531970.7160200069091
133214320213142.374199007-2069.998795542721177.62580099314-1.30014808627327
134212588209318.243279716-3156.902364256733269.75672028422-0.237400412746034
135205816204675.46019026-4077.05655910831140.53980974018-0.201049278471186
136202196205740.555967152-892.543157578177-3544.555967151570.696155261017313
137195722208600.879766041432.81898590145-12878.879766040.508406725112828
138198563208756.477935827641.140900804033-10193.4779358265-0.173024379233279
139229139212778.7457805732736.386589210216360.25421942710.457705202669824
140229527214030.1944413451816.7906010676815496.8055586554-0.200863272843891
141211868211152.295565246-1089.15354683169715.704434754372-0.634946893014263
142203555209576.776327862-1390.22722328913-6021.77632786163-0.0658133655147167
143195770206506.565458405-2430.66056556302-10736.5654584045-0.227462610859021

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 206010 & 206010 & 0 & 0 & 0 \tabularnewline
2 & 198112 & 200283.109783875 & -4599.66453597477 & -2171.10978387525 & -1.31862493573313 \tabularnewline
3 & 194519 & 193748.328553908 & -5840.01836266856 & 770.671446091604 & -0.282704581494234 \tabularnewline
4 & 185705 & 186121.197379702 & -7042.21238172955 & -416.197379701553 & -0.266285485136702 \tabularnewline
5 & 180173 & 179779.939792294 & -6577.3041166279 & 393.060207706256 & 0.100414763351537 \tabularnewline
6 & 176142 & 175500.673487757 & -5060.68258219777 & 641.326512242843 & 0.33131406355305 \tabularnewline
7 & 203401 & 195581.769196214 & 11592.6321516796 & 7819.23080378562 & 3.64116455374229 \tabularnewline
8 & 221902 & 220267.528031298 & 20274.3918917871 & 1634.47196870176 & 1.89695465650162 \tabularnewline
9 & 197378 & 208923.594477999 & -687.947639494629 & -11545.5944779989 & -4.58051806555534 \tabularnewline
10 & 185001 & 188272.562463755 & -13919.8502749352 & -3271.56246375479 & -2.89134737528439 \tabularnewline
11 & 176356 & 174376.37284121 & -13904.1691894931 & 1979.62715879018 & 0.00342649964194933 \tabularnewline
12 & 180449 & 175624.246200397 & -3862.06433984283 & 4824.75379960342 & 2.1943189766364 \tabularnewline
13 & 180144 & 178532.751703064 & 588.174620668519 & 1611.24829693578 & 0.99606590438505 \tabularnewline
14 & 173666 & 176661.440211519 & -1013.96029136161 & -2995.4402115192 & -0.349336686643145 \tabularnewline
15 & 165688 & 166379.318227394 & -6849.97328929047 & -691.318227393939 & -1.27533801693679 \tabularnewline
16 & 161570 & 159465.133379099 & -6890.90162755286 & 2104.86662090063 & -0.00906384453138576 \tabularnewline
17 & 156145 & 154949.574815777 & -5367.12114005651 & 1195.42518422313 & 0.331971187353714 \tabularnewline
18 & 153730 & 159795.033060817 & 1141.18771367786 & -6065.03306081719 & 1.41696783045283 \tabularnewline
19 & 182698 & 176580.400957419 & 11110.6248894848 & 6117.59904258071 & 2.17910359713113 \tabularnewline
20 & 200765 & 190230.610646881 & 12732.4417902355 & 10534.3893531187 & 0.354471068690958 \tabularnewline
21 & 176512 & 186814.735174899 & 2412.59916954907 & -10302.7351748986 & -2.25486198332089 \tabularnewline
22 & 166618 & 173597.84789691 & -7574.44952242811 & -6979.84789690985 & -2.1824309524722 \tabularnewline
23 & 158644 & 161922.861439114 & -10192.0200172655 & -3278.86143911428 & -0.571983836040125 \tabularnewline
24 & 159585 & 155687.192825397 & -7670.60883594278 & 3897.80717460266 & 0.551977663250229 \tabularnewline
25 & 163095 & 157282.256953551 & -1756.2212399339 & 5812.74304644933 & 1.30007107989644 \tabularnewline
26 & 159044 & 157797.16322914 & -311.724802953505 & 1246.83677085954 & 0.315023732176737 \tabularnewline
27 & 155511 & 155490.312843015 & -1564.79532489183 & 20.6871569847786 & -0.273488418903559 \tabularnewline
28 & 153745 & 151963.478256056 & -2800.02189885133 & 1781.52174394361 & -0.271646001221344 \tabularnewline
29 & 150569 & 152270.458353671 & -832.518987696347 & -1701.4583536712 & 0.43028904246281 \tabularnewline
30 & 150605 & 160749.0748754 & 5048.33910384641 & -10144.0748753998 & 1.28141876324862 \tabularnewline
31 & 179612 & 173565.056427969 & 9945.51746728011 & 6046.94357203099 & 1.06932807845214 \tabularnewline
32 & 194690 & 180441.110601447 & 8007.88897774444 & 14248.8893985527 & -0.423482449628982 \tabularnewline
33 & 189917 & 192908.870178057 & 10826.1682745061 & -2991.87017805669 & 0.615834290484045 \tabularnewline
34 & 184128 & 193152.787178958 & 4139.82790479826 & -9024.78717895844 & -1.4610425271138 \tabularnewline
35 & 175335 & 183848.063250091 & -4346.81546376042 & -8513.06325009148 & -1.8549775553989 \tabularnewline
36 & 179566 & 178532.47911442 & -4958.13625917823 & 1033.52088558004 & -0.133827154475653 \tabularnewline
37 & 181140 & 175326.010993345 & -3851.46958445069 & 5813.989006655 & 0.242335437357563 \tabularnewline
38 & 177876 & 174282.939667669 & -2081.89137636933 & 3593.06033233118 & 0.386087158039522 \tabularnewline
39 & 175041 & 173158.81745396 & -1482.01197711658 & 1882.18254604027 & 0.1309829340609 \tabularnewline
40 & 169292 & 168994.249367709 & -3163.13862924079 & 297.750632291293 & -0.368567267034374 \tabularnewline
41 & 166070 & 169646.309863289 & -763.205362090949 & -3576.30986328944 & 0.525195350873923 \tabularnewline
42 & 166972 & 177455.635336791 & 4626.29242174081 & -10483.6353367913 & 1.1758814474454 \tabularnewline
43 & 206348 & 196321.832756868 & 13563.3111995753 & 10026.1672431322 & 1.9507526772774 \tabularnewline
44 & 215706 & 205815.797144771 & 11008.7914076598 & 9890.20285522912 & -0.558145810918597 \tabularnewline
45 & 202108 & 204973.224569227 & 3563.38744004507 & -2865.22456922663 & -1.62699829422687 \tabularnewline
46 & 195411 & 201522.098004694 & -843.370307251786 & -6111.09800469404 & -0.963006175797857 \tabularnewline
47 & 193111 & 200969.451858168 & -660.808414645414 & -7858.4518581679 & 0.0399127134042939 \tabularnewline
48 & 195198 & 196254.892861228 & -3207.11727861893 & -1056.89286122749 & -0.557147412377684 \tabularnewline
49 & 198770 & 193307.199120087 & -3044.07165019269 & 5462.80087991294 & 0.0356549306062865 \tabularnewline
50 & 194163 & 190009.950928879 & -3202.86511439732 & 4153.04907112133 & -0.0346575473208743 \tabularnewline
51 & 190420 & 186574.038746007 & -3348.53355712462 & 3845.96125399319 & -0.0318157697883962 \tabularnewline
52 & 189733 & 188530.143697537 & -32.1989098219215 & 1202.85630246252 & 0.726095908233123 \tabularnewline
53 & 186029 & 192484.261288498 & 2466.05880408533 & -6455.26128849841 & 0.546665559077637 \tabularnewline
54 & 191531 & 204715.923693619 & 8587.51207231675 & -13184.9236936193 & 1.33669696185798 \tabularnewline
55 & 232571 & 219814.574739236 & 12663.5894535258 & 12756.4252607641 & 0.889770826905143 \tabularnewline
56 & 243477 & 230541.282571362 & 11451.5808862048 & 12935.7174286375 & -0.264751257599742 \tabularnewline
57 & 227247 & 231372.534348839 & 4803.80587214477 & -4125.53434883918 & -1.45268604603741 \tabularnewline
58 & 217859 & 226696.479189295 & -1130.72628629846 & -8837.47918929496 & -1.29707740133963 \tabularnewline
59 & 208679 & 217491.164773179 & -6185.61047580729 & -8812.16477317872 & -1.10525909344435 \tabularnewline
60 & 213188 & 213154.618540323 & -5027.49949384904 & 33.3814596765529 & 0.253298113116776 \tabularnewline
61 & 216234 & 209660.257915201 & -4067.08755973879 & 6573.7420847991 & 0.209901025183713 \tabularnewline
62 & 213586 & 207871.546543988 & -2642.16478088054 & 5714.45345601204 & 0.311068995341031 \tabularnewline
63 & 209465 & 206322.216372048 & -1960.20324585189 & 3142.78362795154 & 0.148972379749681 \tabularnewline
64 & 204045 & 204244.079825336 & -2033.80372268019 & -199.079825335904 & -0.0161041908561374 \tabularnewline
65 & 200237 & 208692.791056841 & 2018.74919258869 & -8455.79105684062 & 0.886612053302789 \tabularnewline
66 & 203666 & 218109.214973232 & 6645.52525770887 & -14443.2149732318 & 1.0107774704751 \tabularnewline
67 & 241476 & 227988.197487346 & 8665.9177759746 & 13487.8025126538 & 0.441108452115652 \tabularnewline
68 & 260307 & 242223.32782838 & 12143.2090488191 & 18083.6721716197 & 0.75947603736066 \tabularnewline
69 & 243324 & 246698.113570274 & 7355.56522068407 & -3374.11357027425 & -1.04617633912792 \tabularnewline
70 & 244460 & 250995.458427583 & 5445.9307169345 & -6535.45842758265 & -0.417433774206057 \tabularnewline
71 & 233575 & 246239.323251358 & -926.478998484938 & -12664.3232513583 & -1.3934104185426 \tabularnewline
72 & 237217 & 239149.887039858 & -4777.95752681423 & -1932.88703985847 & -0.842153462146967 \tabularnewline
73 & 235243 & 230231.115284359 & -7365.6161218026 & 5011.88471564104 & -0.565387368669809 \tabularnewline
74 & 230354 & 223773.131548917 & -6799.18937007812 & 6580.86845108342 & 0.123673309821742 \tabularnewline
75 & 227184 & 221902.5534594 & -3728.19620507353 & 5281.44654059964 & 0.67090851790023 \tabularnewline
76 & 221678 & 222647.455542856 & -940.852685005029 & -969.455542856161 & 0.609678165246867 \tabularnewline
77 & 217142 & 226712.045409824 & 2182.18697207932 & -9570.0454098241 & 0.683142241913136 \tabularnewline
78 & 219452 & 234245.631834687 & 5522.80404512864 & -14793.6318346872 & 0.729973073126241 \tabularnewline
79 & 256446 & 244198.382905496 & 8286.24677164679 & 12247.6170945041 & 0.603434303596034 \tabularnewline
80 & 265845 & 247683.044291206 & 5293.55913899709 & 18161.955708794 & -0.653597280914804 \tabularnewline
81 & 248624 & 251443.918495041 & 4338.59004187538 & -2819.91849504131 & -0.208669902573859 \tabularnewline
82 & 241114 & 247003.50596222 & -1132.19171887157 & -5889.50596221952 & -1.19597039490213 \tabularnewline
83 & 229245 & 240671.185581779 & -4374.2572642998 & -11426.1855817794 & -0.708927423230605 \tabularnewline
84 & 231805 & 232790.233444466 & -6561.62730477453 & -985.23344446614 & -0.478202105051098 \tabularnewline
85 & 219277 & 217001.238053042 & -12316.4795685773 & 2275.76194695786 & -1.25723942192888 \tabularnewline
86 & 219313 & 211332.401361158 & -8175.31359617154 & 7980.5986388416 & 0.904277844607874 \tabularnewline
87 & 212610 & 207592.106521496 & -5415.7836494895 & 5017.89347850441 & 0.6028958998763 \tabularnewline
88 & 214771 & 213895.792445088 & 1876.65756904108 & 875.207554911787 & 1.59475873324332 \tabularnewline
89 & 211142 & 221701.792115577 & 5569.90235359118 & -10559.7921155769 & 0.807762121233438 \tabularnewline
90 & 211457 & 228055.533348406 & 6058.38528692768 & -16598.5333484055 & 0.106753132723758 \tabularnewline
91 & 240048 & 228586.115095126 & 2615.36837434874 & 11461.8849048736 & -0.751923287785187 \tabularnewline
92 & 240636 & 224241.991711658 & -1715.55113555273 & 16394.0082883419 & -0.94585801839996 \tabularnewline
93 & 230580 & 228503.602645675 & 2002.3501275666 & 2076.39735432535 & 0.812379260512101 \tabularnewline
94 & 208795 & 217569.61560968 & -6045.42313017666 & -8774.6156096797 & -1.75937952165 \tabularnewline
95 & 197922 & 207649.778936472 & -8457.01668199455 & -9727.7789364724 & -0.527323488365865 \tabularnewline
96 & 194596 & 193514.743192979 & -11992.9066278913 & 1081.25680702127 & -0.772931457783252 \tabularnewline
97 & 194581 & 190700.9814774 & -6277.96608651577 & 3880.01852259969 & 1.24845184974666 \tabularnewline
98 & 185686 & 180975.753770086 & -8422.07282838252 & 4710.24622991417 & -0.468232156966252 \tabularnewline
99 & 178106 & 176067.821937746 & -6238.44049575715 & 2038.17806225413 & 0.477090650021946 \tabularnewline
100 & 172608 & 173358.960267088 & -4045.08970247495 & -750.960267088028 & 0.479592287988124 \tabularnewline
101 & 167302 & 176270.880631625 & 281.715934089592 & -8968.88063162544 & 0.946225918545667 \tabularnewline
102 & 168053 & 181558.446041218 & 3396.51305971685 & -13505.4460412183 & 0.680744459035626 \tabularnewline
103 & 202300 & 188485.181377695 & 5592.17910480084 & 13814.8186223053 & 0.479558815181079 \tabularnewline
104 & 202388 & 189609.335968174 & 2815.60096827424 & 12778.6640318256 & -0.606407110459082 \tabularnewline
105 & 182516 & 179640.539382397 & -5124.9239954841 & 2875.46061760332 & -1.73501835998772 \tabularnewline
106 & 173476 & 178472.492736846 & -2666.96699474259 & -4996.49273684609 & 0.537349176778076 \tabularnewline
107 & 166444 & 175073.706988861 & -3121.81386843981 & -8629.70698886114 & -0.0994543327109596 \tabularnewline
108 & 171297 & 172616.63623776 & -2708.47672000346 & -1319.63623776008 & 0.0903475069198403 \tabularnewline
109 & 169701 & 165572.225997232 & -5403.93117105985 & 4128.77400276786 & -0.588823504274659 \tabularnewline
110 & 164182 & 159989.330848364 & -5515.08607875451 & 4192.66915163592 & -0.0242757331098949 \tabularnewline
111 & 161914 & 159467.150531239 & -2416.42155289376 & 2446.8494687608 & 0.677025853150317 \tabularnewline
112 & 159612 & 161849.620450504 & 562.002072245077 & -2237.62045050428 & 0.651191586698644 \tabularnewline
113 & 151001 & 162577.510301611 & 665.03229837288 & -11576.510301611 & 0.0225295011911768 \tabularnewline
114 & 158114 & 170752.525298265 & 5331.40353863347 & -12638.5252982645 & 1.01986279136083 \tabularnewline
115 & 186530 & 172289.999906201 & 2974.85819151602 & 14240.0000937991 & -0.514733727123633 \tabularnewline
116 & 187069 & 171047.166595641 & 357.178316658325 & 16021.833404359 & -0.57172253610119 \tabularnewline
117 & 174330 & 172414.858023977 & 984.013914870425 & 1915.14197602265 & 0.136963602528149 \tabularnewline
118 & 169362 & 174157.531255382 & 1454.66861716228 & -4795.53125538186 & 0.102890363007201 \tabularnewline
119 & 166827 & 175436.666029952 & 1345.71317346924 & -8609.6660299519 & -0.0238225566413786 \tabularnewline
120 & 178037 & 177220.392039621 & 1617.70035319194 & 816.607960379157 & 0.0594482735521231 \tabularnewline
121 & 186413 & 181263.85059689 & 3123.64198386508 & 5149.1494031099 & 0.328975381755206 \tabularnewline
122 & 189226 & 186247.599581428 & 4277.50746604551 & 2978.40041857167 & 0.252013409270007 \tabularnewline
123 & 191563 & 190663.007525319 & 4362.9928549446 & 899.992474680652 & 0.0186779429061571 \tabularnewline
124 & 188906 & 192503.586102179 & 2799.24853034303 & -3597.58610217918 & -0.341865717159265 \tabularnewline
125 & 186005 & 198957.597404294 & 5066.35276190169 & -12952.5974042935 & 0.495704946314452 \tabularnewline
126 & 195309 & 206045.903702381 & 6321.09883679113 & -10736.9037023813 & 0.2742322078 \tabularnewline
127 & 223532 & 208955.453522433 & 4204.65049550924 & 14576.5464775672 & -0.462315945778104 \tabularnewline
128 & 226899 & 211486.840112695 & 3167.3486727642 & 15412.1598873053 & -0.226563993733158 \tabularnewline
129 & 214126 & 212847.034064529 & 2047.61801373024 & 1278.96593547067 & -0.244660431046521 \tabularnewline
130 & 206903 & 212242.432296491 & 404.140320608268 & -5339.43229649135 & -0.359270529900228 \tabularnewline
131 & 204442 & 212971.385883873 & 605.515379350774 & -8529.38588387298 & 0.0440274656527811 \tabularnewline
132 & 220375 & 218859.159296468 & 3881.55926148845 & 1515.84070353197 & 0.7160200069091 \tabularnewline
133 & 214320 & 213142.374199007 & -2069.99879554272 & 1177.62580099314 & -1.30014808627327 \tabularnewline
134 & 212588 & 209318.243279716 & -3156.90236425673 & 3269.75672028422 & -0.237400412746034 \tabularnewline
135 & 205816 & 204675.46019026 & -4077.0565591083 & 1140.53980974018 & -0.201049278471186 \tabularnewline
136 & 202196 & 205740.555967152 & -892.543157578177 & -3544.55596715157 & 0.696155261017313 \tabularnewline
137 & 195722 & 208600.87976604 & 1432.81898590145 & -12878.87976604 & 0.508406725112828 \tabularnewline
138 & 198563 & 208756.477935827 & 641.140900804033 & -10193.4779358265 & -0.173024379233279 \tabularnewline
139 & 229139 & 212778.745780573 & 2736.3865892102 & 16360.2542194271 & 0.457705202669824 \tabularnewline
140 & 229527 & 214030.194441345 & 1816.79060106768 & 15496.8055586554 & -0.200863272843891 \tabularnewline
141 & 211868 & 211152.295565246 & -1089.15354683169 & 715.704434754372 & -0.634946893014263 \tabularnewline
142 & 203555 & 209576.776327862 & -1390.22722328913 & -6021.77632786163 & -0.0658133655147167 \tabularnewline
143 & 195770 & 206506.565458405 & -2430.66056556302 & -10736.5654584045 & -0.227462610859021 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116006&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]206010[/C][C]206010[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]198112[/C][C]200283.109783875[/C][C]-4599.66453597477[/C][C]-2171.10978387525[/C][C]-1.31862493573313[/C][/ROW]
[ROW][C]3[/C][C]194519[/C][C]193748.328553908[/C][C]-5840.01836266856[/C][C]770.671446091604[/C][C]-0.282704581494234[/C][/ROW]
[ROW][C]4[/C][C]185705[/C][C]186121.197379702[/C][C]-7042.21238172955[/C][C]-416.197379701553[/C][C]-0.266285485136702[/C][/ROW]
[ROW][C]5[/C][C]180173[/C][C]179779.939792294[/C][C]-6577.3041166279[/C][C]393.060207706256[/C][C]0.100414763351537[/C][/ROW]
[ROW][C]6[/C][C]176142[/C][C]175500.673487757[/C][C]-5060.68258219777[/C][C]641.326512242843[/C][C]0.33131406355305[/C][/ROW]
[ROW][C]7[/C][C]203401[/C][C]195581.769196214[/C][C]11592.6321516796[/C][C]7819.23080378562[/C][C]3.64116455374229[/C][/ROW]
[ROW][C]8[/C][C]221902[/C][C]220267.528031298[/C][C]20274.3918917871[/C][C]1634.47196870176[/C][C]1.89695465650162[/C][/ROW]
[ROW][C]9[/C][C]197378[/C][C]208923.594477999[/C][C]-687.947639494629[/C][C]-11545.5944779989[/C][C]-4.58051806555534[/C][/ROW]
[ROW][C]10[/C][C]185001[/C][C]188272.562463755[/C][C]-13919.8502749352[/C][C]-3271.56246375479[/C][C]-2.89134737528439[/C][/ROW]
[ROW][C]11[/C][C]176356[/C][C]174376.37284121[/C][C]-13904.1691894931[/C][C]1979.62715879018[/C][C]0.00342649964194933[/C][/ROW]
[ROW][C]12[/C][C]180449[/C][C]175624.246200397[/C][C]-3862.06433984283[/C][C]4824.75379960342[/C][C]2.1943189766364[/C][/ROW]
[ROW][C]13[/C][C]180144[/C][C]178532.751703064[/C][C]588.174620668519[/C][C]1611.24829693578[/C][C]0.99606590438505[/C][/ROW]
[ROW][C]14[/C][C]173666[/C][C]176661.440211519[/C][C]-1013.96029136161[/C][C]-2995.4402115192[/C][C]-0.349336686643145[/C][/ROW]
[ROW][C]15[/C][C]165688[/C][C]166379.318227394[/C][C]-6849.97328929047[/C][C]-691.318227393939[/C][C]-1.27533801693679[/C][/ROW]
[ROW][C]16[/C][C]161570[/C][C]159465.133379099[/C][C]-6890.90162755286[/C][C]2104.86662090063[/C][C]-0.00906384453138576[/C][/ROW]
[ROW][C]17[/C][C]156145[/C][C]154949.574815777[/C][C]-5367.12114005651[/C][C]1195.42518422313[/C][C]0.331971187353714[/C][/ROW]
[ROW][C]18[/C][C]153730[/C][C]159795.033060817[/C][C]1141.18771367786[/C][C]-6065.03306081719[/C][C]1.41696783045283[/C][/ROW]
[ROW][C]19[/C][C]182698[/C][C]176580.400957419[/C][C]11110.6248894848[/C][C]6117.59904258071[/C][C]2.17910359713113[/C][/ROW]
[ROW][C]20[/C][C]200765[/C][C]190230.610646881[/C][C]12732.4417902355[/C][C]10534.3893531187[/C][C]0.354471068690958[/C][/ROW]
[ROW][C]21[/C][C]176512[/C][C]186814.735174899[/C][C]2412.59916954907[/C][C]-10302.7351748986[/C][C]-2.25486198332089[/C][/ROW]
[ROW][C]22[/C][C]166618[/C][C]173597.84789691[/C][C]-7574.44952242811[/C][C]-6979.84789690985[/C][C]-2.1824309524722[/C][/ROW]
[ROW][C]23[/C][C]158644[/C][C]161922.861439114[/C][C]-10192.0200172655[/C][C]-3278.86143911428[/C][C]-0.571983836040125[/C][/ROW]
[ROW][C]24[/C][C]159585[/C][C]155687.192825397[/C][C]-7670.60883594278[/C][C]3897.80717460266[/C][C]0.551977663250229[/C][/ROW]
[ROW][C]25[/C][C]163095[/C][C]157282.256953551[/C][C]-1756.2212399339[/C][C]5812.74304644933[/C][C]1.30007107989644[/C][/ROW]
[ROW][C]26[/C][C]159044[/C][C]157797.16322914[/C][C]-311.724802953505[/C][C]1246.83677085954[/C][C]0.315023732176737[/C][/ROW]
[ROW][C]27[/C][C]155511[/C][C]155490.312843015[/C][C]-1564.79532489183[/C][C]20.6871569847786[/C][C]-0.273488418903559[/C][/ROW]
[ROW][C]28[/C][C]153745[/C][C]151963.478256056[/C][C]-2800.02189885133[/C][C]1781.52174394361[/C][C]-0.271646001221344[/C][/ROW]
[ROW][C]29[/C][C]150569[/C][C]152270.458353671[/C][C]-832.518987696347[/C][C]-1701.4583536712[/C][C]0.43028904246281[/C][/ROW]
[ROW][C]30[/C][C]150605[/C][C]160749.0748754[/C][C]5048.33910384641[/C][C]-10144.0748753998[/C][C]1.28141876324862[/C][/ROW]
[ROW][C]31[/C][C]179612[/C][C]173565.056427969[/C][C]9945.51746728011[/C][C]6046.94357203099[/C][C]1.06932807845214[/C][/ROW]
[ROW][C]32[/C][C]194690[/C][C]180441.110601447[/C][C]8007.88897774444[/C][C]14248.8893985527[/C][C]-0.423482449628982[/C][/ROW]
[ROW][C]33[/C][C]189917[/C][C]192908.870178057[/C][C]10826.1682745061[/C][C]-2991.87017805669[/C][C]0.615834290484045[/C][/ROW]
[ROW][C]34[/C][C]184128[/C][C]193152.787178958[/C][C]4139.82790479826[/C][C]-9024.78717895844[/C][C]-1.4610425271138[/C][/ROW]
[ROW][C]35[/C][C]175335[/C][C]183848.063250091[/C][C]-4346.81546376042[/C][C]-8513.06325009148[/C][C]-1.8549775553989[/C][/ROW]
[ROW][C]36[/C][C]179566[/C][C]178532.47911442[/C][C]-4958.13625917823[/C][C]1033.52088558004[/C][C]-0.133827154475653[/C][/ROW]
[ROW][C]37[/C][C]181140[/C][C]175326.010993345[/C][C]-3851.46958445069[/C][C]5813.989006655[/C][C]0.242335437357563[/C][/ROW]
[ROW][C]38[/C][C]177876[/C][C]174282.939667669[/C][C]-2081.89137636933[/C][C]3593.06033233118[/C][C]0.386087158039522[/C][/ROW]
[ROW][C]39[/C][C]175041[/C][C]173158.81745396[/C][C]-1482.01197711658[/C][C]1882.18254604027[/C][C]0.1309829340609[/C][/ROW]
[ROW][C]40[/C][C]169292[/C][C]168994.249367709[/C][C]-3163.13862924079[/C][C]297.750632291293[/C][C]-0.368567267034374[/C][/ROW]
[ROW][C]41[/C][C]166070[/C][C]169646.309863289[/C][C]-763.205362090949[/C][C]-3576.30986328944[/C][C]0.525195350873923[/C][/ROW]
[ROW][C]42[/C][C]166972[/C][C]177455.635336791[/C][C]4626.29242174081[/C][C]-10483.6353367913[/C][C]1.1758814474454[/C][/ROW]
[ROW][C]43[/C][C]206348[/C][C]196321.832756868[/C][C]13563.3111995753[/C][C]10026.1672431322[/C][C]1.9507526772774[/C][/ROW]
[ROW][C]44[/C][C]215706[/C][C]205815.797144771[/C][C]11008.7914076598[/C][C]9890.20285522912[/C][C]-0.558145810918597[/C][/ROW]
[ROW][C]45[/C][C]202108[/C][C]204973.224569227[/C][C]3563.38744004507[/C][C]-2865.22456922663[/C][C]-1.62699829422687[/C][/ROW]
[ROW][C]46[/C][C]195411[/C][C]201522.098004694[/C][C]-843.370307251786[/C][C]-6111.09800469404[/C][C]-0.963006175797857[/C][/ROW]
[ROW][C]47[/C][C]193111[/C][C]200969.451858168[/C][C]-660.808414645414[/C][C]-7858.4518581679[/C][C]0.0399127134042939[/C][/ROW]
[ROW][C]48[/C][C]195198[/C][C]196254.892861228[/C][C]-3207.11727861893[/C][C]-1056.89286122749[/C][C]-0.557147412377684[/C][/ROW]
[ROW][C]49[/C][C]198770[/C][C]193307.199120087[/C][C]-3044.07165019269[/C][C]5462.80087991294[/C][C]0.0356549306062865[/C][/ROW]
[ROW][C]50[/C][C]194163[/C][C]190009.950928879[/C][C]-3202.86511439732[/C][C]4153.04907112133[/C][C]-0.0346575473208743[/C][/ROW]
[ROW][C]51[/C][C]190420[/C][C]186574.038746007[/C][C]-3348.53355712462[/C][C]3845.96125399319[/C][C]-0.0318157697883962[/C][/ROW]
[ROW][C]52[/C][C]189733[/C][C]188530.143697537[/C][C]-32.1989098219215[/C][C]1202.85630246252[/C][C]0.726095908233123[/C][/ROW]
[ROW][C]53[/C][C]186029[/C][C]192484.261288498[/C][C]2466.05880408533[/C][C]-6455.26128849841[/C][C]0.546665559077637[/C][/ROW]
[ROW][C]54[/C][C]191531[/C][C]204715.923693619[/C][C]8587.51207231675[/C][C]-13184.9236936193[/C][C]1.33669696185798[/C][/ROW]
[ROW][C]55[/C][C]232571[/C][C]219814.574739236[/C][C]12663.5894535258[/C][C]12756.4252607641[/C][C]0.889770826905143[/C][/ROW]
[ROW][C]56[/C][C]243477[/C][C]230541.282571362[/C][C]11451.5808862048[/C][C]12935.7174286375[/C][C]-0.264751257599742[/C][/ROW]
[ROW][C]57[/C][C]227247[/C][C]231372.534348839[/C][C]4803.80587214477[/C][C]-4125.53434883918[/C][C]-1.45268604603741[/C][/ROW]
[ROW][C]58[/C][C]217859[/C][C]226696.479189295[/C][C]-1130.72628629846[/C][C]-8837.47918929496[/C][C]-1.29707740133963[/C][/ROW]
[ROW][C]59[/C][C]208679[/C][C]217491.164773179[/C][C]-6185.61047580729[/C][C]-8812.16477317872[/C][C]-1.10525909344435[/C][/ROW]
[ROW][C]60[/C][C]213188[/C][C]213154.618540323[/C][C]-5027.49949384904[/C][C]33.3814596765529[/C][C]0.253298113116776[/C][/ROW]
[ROW][C]61[/C][C]216234[/C][C]209660.257915201[/C][C]-4067.08755973879[/C][C]6573.7420847991[/C][C]0.209901025183713[/C][/ROW]
[ROW][C]62[/C][C]213586[/C][C]207871.546543988[/C][C]-2642.16478088054[/C][C]5714.45345601204[/C][C]0.311068995341031[/C][/ROW]
[ROW][C]63[/C][C]209465[/C][C]206322.216372048[/C][C]-1960.20324585189[/C][C]3142.78362795154[/C][C]0.148972379749681[/C][/ROW]
[ROW][C]64[/C][C]204045[/C][C]204244.079825336[/C][C]-2033.80372268019[/C][C]-199.079825335904[/C][C]-0.0161041908561374[/C][/ROW]
[ROW][C]65[/C][C]200237[/C][C]208692.791056841[/C][C]2018.74919258869[/C][C]-8455.79105684062[/C][C]0.886612053302789[/C][/ROW]
[ROW][C]66[/C][C]203666[/C][C]218109.214973232[/C][C]6645.52525770887[/C][C]-14443.2149732318[/C][C]1.0107774704751[/C][/ROW]
[ROW][C]67[/C][C]241476[/C][C]227988.197487346[/C][C]8665.9177759746[/C][C]13487.8025126538[/C][C]0.441108452115652[/C][/ROW]
[ROW][C]68[/C][C]260307[/C][C]242223.32782838[/C][C]12143.2090488191[/C][C]18083.6721716197[/C][C]0.75947603736066[/C][/ROW]
[ROW][C]69[/C][C]243324[/C][C]246698.113570274[/C][C]7355.56522068407[/C][C]-3374.11357027425[/C][C]-1.04617633912792[/C][/ROW]
[ROW][C]70[/C][C]244460[/C][C]250995.458427583[/C][C]5445.9307169345[/C][C]-6535.45842758265[/C][C]-0.417433774206057[/C][/ROW]
[ROW][C]71[/C][C]233575[/C][C]246239.323251358[/C][C]-926.478998484938[/C][C]-12664.3232513583[/C][C]-1.3934104185426[/C][/ROW]
[ROW][C]72[/C][C]237217[/C][C]239149.887039858[/C][C]-4777.95752681423[/C][C]-1932.88703985847[/C][C]-0.842153462146967[/C][/ROW]
[ROW][C]73[/C][C]235243[/C][C]230231.115284359[/C][C]-7365.6161218026[/C][C]5011.88471564104[/C][C]-0.565387368669809[/C][/ROW]
[ROW][C]74[/C][C]230354[/C][C]223773.131548917[/C][C]-6799.18937007812[/C][C]6580.86845108342[/C][C]0.123673309821742[/C][/ROW]
[ROW][C]75[/C][C]227184[/C][C]221902.5534594[/C][C]-3728.19620507353[/C][C]5281.44654059964[/C][C]0.67090851790023[/C][/ROW]
[ROW][C]76[/C][C]221678[/C][C]222647.455542856[/C][C]-940.852685005029[/C][C]-969.455542856161[/C][C]0.609678165246867[/C][/ROW]
[ROW][C]77[/C][C]217142[/C][C]226712.045409824[/C][C]2182.18697207932[/C][C]-9570.0454098241[/C][C]0.683142241913136[/C][/ROW]
[ROW][C]78[/C][C]219452[/C][C]234245.631834687[/C][C]5522.80404512864[/C][C]-14793.6318346872[/C][C]0.729973073126241[/C][/ROW]
[ROW][C]79[/C][C]256446[/C][C]244198.382905496[/C][C]8286.24677164679[/C][C]12247.6170945041[/C][C]0.603434303596034[/C][/ROW]
[ROW][C]80[/C][C]265845[/C][C]247683.044291206[/C][C]5293.55913899709[/C][C]18161.955708794[/C][C]-0.653597280914804[/C][/ROW]
[ROW][C]81[/C][C]248624[/C][C]251443.918495041[/C][C]4338.59004187538[/C][C]-2819.91849504131[/C][C]-0.208669902573859[/C][/ROW]
[ROW][C]82[/C][C]241114[/C][C]247003.50596222[/C][C]-1132.19171887157[/C][C]-5889.50596221952[/C][C]-1.19597039490213[/C][/ROW]
[ROW][C]83[/C][C]229245[/C][C]240671.185581779[/C][C]-4374.2572642998[/C][C]-11426.1855817794[/C][C]-0.708927423230605[/C][/ROW]
[ROW][C]84[/C][C]231805[/C][C]232790.233444466[/C][C]-6561.62730477453[/C][C]-985.23344446614[/C][C]-0.478202105051098[/C][/ROW]
[ROW][C]85[/C][C]219277[/C][C]217001.238053042[/C][C]-12316.4795685773[/C][C]2275.76194695786[/C][C]-1.25723942192888[/C][/ROW]
[ROW][C]86[/C][C]219313[/C][C]211332.401361158[/C][C]-8175.31359617154[/C][C]7980.5986388416[/C][C]0.904277844607874[/C][/ROW]
[ROW][C]87[/C][C]212610[/C][C]207592.106521496[/C][C]-5415.7836494895[/C][C]5017.89347850441[/C][C]0.6028958998763[/C][/ROW]
[ROW][C]88[/C][C]214771[/C][C]213895.792445088[/C][C]1876.65756904108[/C][C]875.207554911787[/C][C]1.59475873324332[/C][/ROW]
[ROW][C]89[/C][C]211142[/C][C]221701.792115577[/C][C]5569.90235359118[/C][C]-10559.7921155769[/C][C]0.807762121233438[/C][/ROW]
[ROW][C]90[/C][C]211457[/C][C]228055.533348406[/C][C]6058.38528692768[/C][C]-16598.5333484055[/C][C]0.106753132723758[/C][/ROW]
[ROW][C]91[/C][C]240048[/C][C]228586.115095126[/C][C]2615.36837434874[/C][C]11461.8849048736[/C][C]-0.751923287785187[/C][/ROW]
[ROW][C]92[/C][C]240636[/C][C]224241.991711658[/C][C]-1715.55113555273[/C][C]16394.0082883419[/C][C]-0.94585801839996[/C][/ROW]
[ROW][C]93[/C][C]230580[/C][C]228503.602645675[/C][C]2002.3501275666[/C][C]2076.39735432535[/C][C]0.812379260512101[/C][/ROW]
[ROW][C]94[/C][C]208795[/C][C]217569.61560968[/C][C]-6045.42313017666[/C][C]-8774.6156096797[/C][C]-1.75937952165[/C][/ROW]
[ROW][C]95[/C][C]197922[/C][C]207649.778936472[/C][C]-8457.01668199455[/C][C]-9727.7789364724[/C][C]-0.527323488365865[/C][/ROW]
[ROW][C]96[/C][C]194596[/C][C]193514.743192979[/C][C]-11992.9066278913[/C][C]1081.25680702127[/C][C]-0.772931457783252[/C][/ROW]
[ROW][C]97[/C][C]194581[/C][C]190700.9814774[/C][C]-6277.96608651577[/C][C]3880.01852259969[/C][C]1.24845184974666[/C][/ROW]
[ROW][C]98[/C][C]185686[/C][C]180975.753770086[/C][C]-8422.07282838252[/C][C]4710.24622991417[/C][C]-0.468232156966252[/C][/ROW]
[ROW][C]99[/C][C]178106[/C][C]176067.821937746[/C][C]-6238.44049575715[/C][C]2038.17806225413[/C][C]0.477090650021946[/C][/ROW]
[ROW][C]100[/C][C]172608[/C][C]173358.960267088[/C][C]-4045.08970247495[/C][C]-750.960267088028[/C][C]0.479592287988124[/C][/ROW]
[ROW][C]101[/C][C]167302[/C][C]176270.880631625[/C][C]281.715934089592[/C][C]-8968.88063162544[/C][C]0.946225918545667[/C][/ROW]
[ROW][C]102[/C][C]168053[/C][C]181558.446041218[/C][C]3396.51305971685[/C][C]-13505.4460412183[/C][C]0.680744459035626[/C][/ROW]
[ROW][C]103[/C][C]202300[/C][C]188485.181377695[/C][C]5592.17910480084[/C][C]13814.8186223053[/C][C]0.479558815181079[/C][/ROW]
[ROW][C]104[/C][C]202388[/C][C]189609.335968174[/C][C]2815.60096827424[/C][C]12778.6640318256[/C][C]-0.606407110459082[/C][/ROW]
[ROW][C]105[/C][C]182516[/C][C]179640.539382397[/C][C]-5124.9239954841[/C][C]2875.46061760332[/C][C]-1.73501835998772[/C][/ROW]
[ROW][C]106[/C][C]173476[/C][C]178472.492736846[/C][C]-2666.96699474259[/C][C]-4996.49273684609[/C][C]0.537349176778076[/C][/ROW]
[ROW][C]107[/C][C]166444[/C][C]175073.706988861[/C][C]-3121.81386843981[/C][C]-8629.70698886114[/C][C]-0.0994543327109596[/C][/ROW]
[ROW][C]108[/C][C]171297[/C][C]172616.63623776[/C][C]-2708.47672000346[/C][C]-1319.63623776008[/C][C]0.0903475069198403[/C][/ROW]
[ROW][C]109[/C][C]169701[/C][C]165572.225997232[/C][C]-5403.93117105985[/C][C]4128.77400276786[/C][C]-0.588823504274659[/C][/ROW]
[ROW][C]110[/C][C]164182[/C][C]159989.330848364[/C][C]-5515.08607875451[/C][C]4192.66915163592[/C][C]-0.0242757331098949[/C][/ROW]
[ROW][C]111[/C][C]161914[/C][C]159467.150531239[/C][C]-2416.42155289376[/C][C]2446.8494687608[/C][C]0.677025853150317[/C][/ROW]
[ROW][C]112[/C][C]159612[/C][C]161849.620450504[/C][C]562.002072245077[/C][C]-2237.62045050428[/C][C]0.651191586698644[/C][/ROW]
[ROW][C]113[/C][C]151001[/C][C]162577.510301611[/C][C]665.03229837288[/C][C]-11576.510301611[/C][C]0.0225295011911768[/C][/ROW]
[ROW][C]114[/C][C]158114[/C][C]170752.525298265[/C][C]5331.40353863347[/C][C]-12638.5252982645[/C][C]1.01986279136083[/C][/ROW]
[ROW][C]115[/C][C]186530[/C][C]172289.999906201[/C][C]2974.85819151602[/C][C]14240.0000937991[/C][C]-0.514733727123633[/C][/ROW]
[ROW][C]116[/C][C]187069[/C][C]171047.166595641[/C][C]357.178316658325[/C][C]16021.833404359[/C][C]-0.57172253610119[/C][/ROW]
[ROW][C]117[/C][C]174330[/C][C]172414.858023977[/C][C]984.013914870425[/C][C]1915.14197602265[/C][C]0.136963602528149[/C][/ROW]
[ROW][C]118[/C][C]169362[/C][C]174157.531255382[/C][C]1454.66861716228[/C][C]-4795.53125538186[/C][C]0.102890363007201[/C][/ROW]
[ROW][C]119[/C][C]166827[/C][C]175436.666029952[/C][C]1345.71317346924[/C][C]-8609.6660299519[/C][C]-0.0238225566413786[/C][/ROW]
[ROW][C]120[/C][C]178037[/C][C]177220.392039621[/C][C]1617.70035319194[/C][C]816.607960379157[/C][C]0.0594482735521231[/C][/ROW]
[ROW][C]121[/C][C]186413[/C][C]181263.85059689[/C][C]3123.64198386508[/C][C]5149.1494031099[/C][C]0.328975381755206[/C][/ROW]
[ROW][C]122[/C][C]189226[/C][C]186247.599581428[/C][C]4277.50746604551[/C][C]2978.40041857167[/C][C]0.252013409270007[/C][/ROW]
[ROW][C]123[/C][C]191563[/C][C]190663.007525319[/C][C]4362.9928549446[/C][C]899.992474680652[/C][C]0.0186779429061571[/C][/ROW]
[ROW][C]124[/C][C]188906[/C][C]192503.586102179[/C][C]2799.24853034303[/C][C]-3597.58610217918[/C][C]-0.341865717159265[/C][/ROW]
[ROW][C]125[/C][C]186005[/C][C]198957.597404294[/C][C]5066.35276190169[/C][C]-12952.5974042935[/C][C]0.495704946314452[/C][/ROW]
[ROW][C]126[/C][C]195309[/C][C]206045.903702381[/C][C]6321.09883679113[/C][C]-10736.9037023813[/C][C]0.2742322078[/C][/ROW]
[ROW][C]127[/C][C]223532[/C][C]208955.453522433[/C][C]4204.65049550924[/C][C]14576.5464775672[/C][C]-0.462315945778104[/C][/ROW]
[ROW][C]128[/C][C]226899[/C][C]211486.840112695[/C][C]3167.3486727642[/C][C]15412.1598873053[/C][C]-0.226563993733158[/C][/ROW]
[ROW][C]129[/C][C]214126[/C][C]212847.034064529[/C][C]2047.61801373024[/C][C]1278.96593547067[/C][C]-0.244660431046521[/C][/ROW]
[ROW][C]130[/C][C]206903[/C][C]212242.432296491[/C][C]404.140320608268[/C][C]-5339.43229649135[/C][C]-0.359270529900228[/C][/ROW]
[ROW][C]131[/C][C]204442[/C][C]212971.385883873[/C][C]605.515379350774[/C][C]-8529.38588387298[/C][C]0.0440274656527811[/C][/ROW]
[ROW][C]132[/C][C]220375[/C][C]218859.159296468[/C][C]3881.55926148845[/C][C]1515.84070353197[/C][C]0.7160200069091[/C][/ROW]
[ROW][C]133[/C][C]214320[/C][C]213142.374199007[/C][C]-2069.99879554272[/C][C]1177.62580099314[/C][C]-1.30014808627327[/C][/ROW]
[ROW][C]134[/C][C]212588[/C][C]209318.243279716[/C][C]-3156.90236425673[/C][C]3269.75672028422[/C][C]-0.237400412746034[/C][/ROW]
[ROW][C]135[/C][C]205816[/C][C]204675.46019026[/C][C]-4077.0565591083[/C][C]1140.53980974018[/C][C]-0.201049278471186[/C][/ROW]
[ROW][C]136[/C][C]202196[/C][C]205740.555967152[/C][C]-892.543157578177[/C][C]-3544.55596715157[/C][C]0.696155261017313[/C][/ROW]
[ROW][C]137[/C][C]195722[/C][C]208600.87976604[/C][C]1432.81898590145[/C][C]-12878.87976604[/C][C]0.508406725112828[/C][/ROW]
[ROW][C]138[/C][C]198563[/C][C]208756.477935827[/C][C]641.140900804033[/C][C]-10193.4779358265[/C][C]-0.173024379233279[/C][/ROW]
[ROW][C]139[/C][C]229139[/C][C]212778.745780573[/C][C]2736.3865892102[/C][C]16360.2542194271[/C][C]0.457705202669824[/C][/ROW]
[ROW][C]140[/C][C]229527[/C][C]214030.194441345[/C][C]1816.79060106768[/C][C]15496.8055586554[/C][C]-0.200863272843891[/C][/ROW]
[ROW][C]141[/C][C]211868[/C][C]211152.295565246[/C][C]-1089.15354683169[/C][C]715.704434754372[/C][C]-0.634946893014263[/C][/ROW]
[ROW][C]142[/C][C]203555[/C][C]209576.776327862[/C][C]-1390.22722328913[/C][C]-6021.77632786163[/C][C]-0.0658133655147167[/C][/ROW]
[ROW][C]143[/C][C]195770[/C][C]206506.565458405[/C][C]-2430.66056556302[/C][C]-10736.5654584045[/C][C]-0.227462610859021[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116006&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116006&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
1206010206010000
2198112200283.109783875-4599.66453597477-2171.10978387525-1.31862493573313
3194519193748.328553908-5840.01836266856770.671446091604-0.282704581494234
4185705186121.197379702-7042.21238172955-416.197379701553-0.266285485136702
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Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')