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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 01 Feb 2018 09:39:36 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Feb/01/t15174743958lqj6o3026lyqxk.htm/, Retrieved Mon, 29 Apr 2024 02:13:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=313718, Retrieved Mon, 29 Apr 2024 02:13:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2018-02-01 08:39:36] [7cf2415a899268efc6470e899f2215a7] [Current]
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Dataseries X:
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time7 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313718&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]7 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=313718&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313718&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
1112112000
2118116.6626606919794.773184596556811.33733930802150.424228086172193
3132130.36539435283911.08629363373221.634605647161120.52904818226706
4129132.2554038502644.19626456278722-3.25540385026373-0.555722248070438
5121123.494626313318-5.30231596523095-2.49462631331757-0.743105140697109
6135130.6817950961333.821358789502384.318204903866880.720130136093354
7148145.9541461758912.21060777838172.045853824109840.661413933687773
8148150.7954622476936.80932805907052-2.79546224769265-0.425692617414176
9136139.990520461142-6.09921661108481-3.99052046114199-1.01743382119269
10119120.957802643626-15.5758529614203-1.95780264362581-0.746920925721825
11104103.451987938169-16.98990789374520.548012061831386-0.111451576615057
12118111.3207249080251.224059681479526.679275091975361.43557121455783
13115116.0844083322753.81134582858267-1.084408332274870.204507755216068
14126126.6032926290518.73193658861958-0.6032926290513150.393842491577361
15141136.8854290659069.826602528256994.114570934094190.085910466745844
16135136.6235105138332.70264247401261-1.62351051383314-0.570082862043017
17125132.265782545223-2.30644388123072-7.26578254522338-0.394341927585491
18149144.7753179889068.125929600994714.224682011094210.820765499590697
19170165.12343464402916.7344098400454.876565355970640.678999374534414
20170172.0740601528299.83368022679296-2.07406015282946-0.543950566449587
21158162.374910366245-3.94679540358159-4.37491036624512-1.08607975752952
22133137.890543691972-18.4354258576592-4.89054369197169-1.14202127898744
23114118.55440232252-19.0706500951791-4.55440232251979-0.0500667858586147
24140126.410420294526-0.099167192817944313.58957970547361.49570940097135
25145144.55671358048912.75657160106250.4432864195108081.01622753905488
26150153.0598760696269.75587656101322-3.05987606962599-0.236842074525383
27178168.05458049963813.41224601076189.945419500362120.28757658204062
28163166.1793490521132.76495812651563-3.17934905211301-0.843936935671881
29172180.70190758331610.991831636677-8.70190758331640.649400425767118
30178182.6632713185044.69351474125224-4.66327131850378-0.495508878727709
31199191.572781419917.629133076201317.427218580089510.231380018920377
32199196.3071861967165.611372050803192.6928138032839-0.159076903419788
33184184.834370093769-6.30429066619387-0.834370093769195-0.939119855845862
34162167.362943994465-14.0929320058532-5.36294399446519-0.613904700038411
35146156.883810085052-11.5736790678564-10.88381008505170.198561325683732
36166155.255957151393-4.6447545830558310.74404284860710.546454103455683
37171165.8133893437615.953570485850875.186610656239480.836837132980248
38180181.91967042744613.0291186315214-1.919670427445590.557592856695914
39193182.2668196933894.2362944093412710.7331803066105-0.692294781328485
40181187.0904729144844.64303253291799-6.090472914483590.0321419755993981
41183190.4104740503163.72421790674782-7.41047405031623-0.072530477901964
42218218.89963516273520.9062887217236-0.8996351627353791.35283018926052
43230227.04113586205612.06476080852182.95886413794388-0.696554742454622
44242234.3416113890658.763581439755417.65838861093532-0.260227676771173
45209213.332056274093-11.879369430723-4.33205627409328-1.62704133496431
46191196.521087801052-15.2988629764675-5.52108780105165-0.269515363096117
47172184.65955368957-12.9163867657265-12.65955368957040.187794396810766
48194184.923152430632-3.782829792354039.076847569367640.720342307633649
49196191.2187411283643.205631760563494.78125887163630.551346831749448
50196193.5793652600462.620114722022062.42063473995379-0.0461303970967936
51236218.30713202493417.892638556709917.69286797506641.20301536108544
52235241.22949540040221.3648406881194-6.229495400401710.27407021796653
53229249.14233068033612.0615504033218-20.142330680336-0.734159647333865
54243245.7060599262221.34448643978879-2.70605992622232-0.844275931041253
55264257.0652610402028.261259512681026.934738959798230.544865112955807
56272257.4232427313822.803422531618514.5767572686184-0.430158923942218
57237242.918319258219-9.15456065058439-5.91831925821928-0.942527595716623
58211219.71762162495-18.859775211276-8.71762162494979-0.764957959569833
59180196.554402038674-21.8326820649401-16.5544020386742-0.234354717904759
60201189.552400021825-11.586515552555511.44759997817460.808018098380265
61204194.894775566060.113969616324699.105224433939550.922657384413557
62188193.96801015127-0.604799911966054-5.96801015127003-0.056627573640189
63235213.76982320339813.461016749308621.2301767966021.10820943957462
64227229.31824504101614.8991855098083-2.318245041016220.113458600914985
65234249.22776638278618.3554252898439-15.22776638278620.272673321855143
66264270.88271086345420.6319762095505-6.882710863454060.179400008010338
67302293.3736117539721.91345394734998.626388246030080.100953005782807
68293281.873202730559-1.112328214026311.1267972694408-1.8145502678973
69259262.838544116746-13.4650232248977-3.83854411674623-0.973630087414719
70229237.991720930053-21.3106154789348-8.99172093005306-0.618420447804994
71203221.812544435891-17.7735208048272-18.8125444358910.278850456865752
72229217.879015787941-8.2316577285971911.12098421205910.752399959936671
73242227.4849774677814.0691592877807414.51502253221930.969739544903306
74233242.25076010880511.4403317602053-9.250760108804780.580745840638935
75267248.0626397417727.5670766381379418.9373602582275-0.305200329142554
76269270.03104266927817.4745675343773-1.031042669278360.781397709786735
77270289.24435928458618.6718156797042-19.24435928458570.0944370993198884
78315320.69100738165327.4708742967183-5.6910073816530.693514204860775
79364346.45823090034126.298146928919417.541769099659-0.0923937608939035
80347338.3995528557422.65973893608858.60044714425826-1.86269968223472
81312316.241246632203-14.4152506879945-4.24124663220328-1.34581034365627
82274286.808838870134-24.7480933077233-12.8088388701336-0.81452212606517
83237259.835954061004-26.2790736817799-22.8359540610035-0.120702775896183
84278264.010296413785-5.3172980131843513.98970358621531.65275188392807
85284269.6683715118542.2380933259442614.33162848814560.595542863900999
86277281.2219020390718.64661735528513-4.221902039070510.504919188716141
87317299.73371648158715.426294230380117.26628351841280.534254380063846
88313316.16495270718216.1167838348508-3.164952707181630.0544499609629326
89318341.78780751136322.6527974428025-23.78780751136270.515484762676384
90374378.08121856019832.0346741385459-4.081218560198350.739517347770416
91413390.98170845547618.880143423309622.0182915445236-1.03646640591722
92405391.7169594124596.4123128804571613.2830405875407-0.982429961870696
93355361.647517720409-18.6508146909102-6.64751772040885-1.97537635872817
94306321.631712040905-33.329598859034-15.6317120409046-1.15715376896973
95271299.208981706229-25.8346023909536-28.20898170622880.590925951704717
96306290.647640443221-13.961500447141515.35235955677890.936088813046964
97315297.7002648032860.48326616371210617.29973519671441.13849103382948
98301305.7669958825895.69289545551232-4.766995882588970.410472518540282
99356333.32214237853220.699353289986222.67785762146791.18259471298689
100348356.38350159562422.3204232112648-8.383501595624280.127820386185564
101355384.0880097032626.0176013563954-29.088009703260.291563732180276
102422420.36272523142833.06331383626951.637274768571580.555397411780698
103465441.58241147459424.9304680164323.4175885254062-0.640839883220946
104467445.92330317376110.799392999485421.0766968262392-1.11347787700111
105404413.091335432728-19.1376659093341-9.09133543272796-2.35948271291471
106347369.497691260539-35.9184597152968-22.4976912605393-1.32289021279173
107305336.359426599933-34.0103331576513-31.35942659993330.150444180115352
108336321.234328622391-21.045330395122914.76567137760891.0221298478572
109340319.887574725467-7.5223809849513620.11242527453251.06578525539653
110318325.7850991105431.68521451577842-7.78509911054260.725496573466243
111362337.5925402465898.6255536281197224.40745975341080.546953694815252
112348357.24023306341916.1821123724581-9.24023306341920.595791749500875
113363393.31081129677729.8234812295444-30.31081129677691.07570034917403
114435431.33850754341635.45243320902533.661492456584330.443727044162565
115491463.21577190257433.000111948910527.7842280974265-0.193243447022124
116505474.71641867717318.260507883742330.2835813228273-1.16143083598959
117404421.551173574912-30.6917992551898-17.5511735749115-3.85812331343686
118359381.045712100521-37.4178140421566-22.0457121005205-0.530241025603564
119310346.0975301111-35.7247511126809-36.09753011109950.133488015466359
120337323.990935445661-26.386319161018713.00906455433860.736195483328625
121360333.613484523-1.6953703195955526.38651547700011.9459193826642
122342348.3404605694219.55953664932815-6.340460569421210.886832445330288
123406379.53557390662124.378830011720626.46442609337891.16789994869316
124396411.73508281541429.7351664157652-15.73508281541410.422297343302873
125420453.44029188313137.9365978274668-33.44029188313110.64669521946035
126472475.78185311363527.2483811539957-3.78185311363486-0.842552142012568
127548510.95589493517432.679216167193937.04410506482580.427965982724959
128559513.66329012722112.151851453869545.3367098727792-1.61750229656008
129463484.876511647224-15.8768915200443-21.8765116472242-2.20904065961301
130407434.840687326008-39.2639975082408-27.8406873260078-1.84370692809887
131362399.140219827639-36.8235511527545-37.14021982763920.192413435218984
132405394.181742875682-14.995579885127910.81825712431811.72076552885499
133417392.714812663572-5.7290279484579524.28518733642830.73029747567982
134391400.3771849823523.4391873941442-9.377184982352220.72242702241896
135419397.703336343659-0.74393620844681421.2966636563415-0.329674040512217
136461463.86396108649445.0355881816911-2.863961086494433.60916421647851
137472506.97375433701843.7174067784311-34.9737543370182-0.103936003602995
138535544.91609156313739.7633943888375-9.91609156313685-0.311694512031414
139622578.0950785112435.256002860041543.9049214887597-0.355205283669116
140606560.043255319871-1.2195623265729545.9567446801294-2.87421682829079
141508524.076188294391-24.987046154215-16.0761882943915-1.87319018374507
142461490.500756533696-30.8615124947147-29.5007565336962-0.4631065321272
143390441.011230966095-43.6064594783813-51.0112309660946-1.00484347003423
144432417.850761361096-29.614351497287814.14923863890441.10301852210923

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 112 & 112 & 0 & 0 & 0 \tabularnewline
2 & 118 & 116.662660691979 & 4.77318459655681 & 1.3373393080215 & 0.424228086172193 \tabularnewline
3 & 132 & 130.365394352839 & 11.0862936337322 & 1.63460564716112 & 0.52904818226706 \tabularnewline
4 & 129 & 132.255403850264 & 4.19626456278722 & -3.25540385026373 & -0.555722248070438 \tabularnewline
5 & 121 & 123.494626313318 & -5.30231596523095 & -2.49462631331757 & -0.743105140697109 \tabularnewline
6 & 135 & 130.681795096133 & 3.82135878950238 & 4.31820490386688 & 0.720130136093354 \tabularnewline
7 & 148 & 145.95414617589 & 12.2106077783817 & 2.04585382410984 & 0.661413933687773 \tabularnewline
8 & 148 & 150.795462247693 & 6.80932805907052 & -2.79546224769265 & -0.425692617414176 \tabularnewline
9 & 136 & 139.990520461142 & -6.09921661108481 & -3.99052046114199 & -1.01743382119269 \tabularnewline
10 & 119 & 120.957802643626 & -15.5758529614203 & -1.95780264362581 & -0.746920925721825 \tabularnewline
11 & 104 & 103.451987938169 & -16.9899078937452 & 0.548012061831386 & -0.111451576615057 \tabularnewline
12 & 118 & 111.320724908025 & 1.22405968147952 & 6.67927509197536 & 1.43557121455783 \tabularnewline
13 & 115 & 116.084408332275 & 3.81134582858267 & -1.08440833227487 & 0.204507755216068 \tabularnewline
14 & 126 & 126.603292629051 & 8.73193658861958 & -0.603292629051315 & 0.393842491577361 \tabularnewline
15 & 141 & 136.885429065906 & 9.82660252825699 & 4.11457093409419 & 0.085910466745844 \tabularnewline
16 & 135 & 136.623510513833 & 2.70264247401261 & -1.62351051383314 & -0.570082862043017 \tabularnewline
17 & 125 & 132.265782545223 & -2.30644388123072 & -7.26578254522338 & -0.394341927585491 \tabularnewline
18 & 149 & 144.775317988906 & 8.12592960099471 & 4.22468201109421 & 0.820765499590697 \tabularnewline
19 & 170 & 165.123434644029 & 16.734409840045 & 4.87656535597064 & 0.678999374534414 \tabularnewline
20 & 170 & 172.074060152829 & 9.83368022679296 & -2.07406015282946 & -0.543950566449587 \tabularnewline
21 & 158 & 162.374910366245 & -3.94679540358159 & -4.37491036624512 & -1.08607975752952 \tabularnewline
22 & 133 & 137.890543691972 & -18.4354258576592 & -4.89054369197169 & -1.14202127898744 \tabularnewline
23 & 114 & 118.55440232252 & -19.0706500951791 & -4.55440232251979 & -0.0500667858586147 \tabularnewline
24 & 140 & 126.410420294526 & -0.0991671928179443 & 13.5895797054736 & 1.49570940097135 \tabularnewline
25 & 145 & 144.556713580489 & 12.7565716010625 & 0.443286419510808 & 1.01622753905488 \tabularnewline
26 & 150 & 153.059876069626 & 9.75587656101322 & -3.05987606962599 & -0.236842074525383 \tabularnewline
27 & 178 & 168.054580499638 & 13.4122460107618 & 9.94541950036212 & 0.28757658204062 \tabularnewline
28 & 163 & 166.179349052113 & 2.76495812651563 & -3.17934905211301 & -0.843936935671881 \tabularnewline
29 & 172 & 180.701907583316 & 10.991831636677 & -8.7019075833164 & 0.649400425767118 \tabularnewline
30 & 178 & 182.663271318504 & 4.69351474125224 & -4.66327131850378 & -0.495508878727709 \tabularnewline
31 & 199 & 191.57278141991 & 7.62913307620131 & 7.42721858008951 & 0.231380018920377 \tabularnewline
32 & 199 & 196.307186196716 & 5.61137205080319 & 2.6928138032839 & -0.159076903419788 \tabularnewline
33 & 184 & 184.834370093769 & -6.30429066619387 & -0.834370093769195 & -0.939119855845862 \tabularnewline
34 & 162 & 167.362943994465 & -14.0929320058532 & -5.36294399446519 & -0.613904700038411 \tabularnewline
35 & 146 & 156.883810085052 & -11.5736790678564 & -10.8838100850517 & 0.198561325683732 \tabularnewline
36 & 166 & 155.255957151393 & -4.64475458305583 & 10.7440428486071 & 0.546454103455683 \tabularnewline
37 & 171 & 165.813389343761 & 5.95357048585087 & 5.18661065623948 & 0.836837132980248 \tabularnewline
38 & 180 & 181.919670427446 & 13.0291186315214 & -1.91967042744559 & 0.557592856695914 \tabularnewline
39 & 193 & 182.266819693389 & 4.23629440934127 & 10.7331803066105 & -0.692294781328485 \tabularnewline
40 & 181 & 187.090472914484 & 4.64303253291799 & -6.09047291448359 & 0.0321419755993981 \tabularnewline
41 & 183 & 190.410474050316 & 3.72421790674782 & -7.41047405031623 & -0.072530477901964 \tabularnewline
42 & 218 & 218.899635162735 & 20.9062887217236 & -0.899635162735379 & 1.35283018926052 \tabularnewline
43 & 230 & 227.041135862056 & 12.0647608085218 & 2.95886413794388 & -0.696554742454622 \tabularnewline
44 & 242 & 234.341611389065 & 8.76358143975541 & 7.65838861093532 & -0.260227676771173 \tabularnewline
45 & 209 & 213.332056274093 & -11.879369430723 & -4.33205627409328 & -1.62704133496431 \tabularnewline
46 & 191 & 196.521087801052 & -15.2988629764675 & -5.52108780105165 & -0.269515363096117 \tabularnewline
47 & 172 & 184.65955368957 & -12.9163867657265 & -12.6595536895704 & 0.187794396810766 \tabularnewline
48 & 194 & 184.923152430632 & -3.78282979235403 & 9.07684756936764 & 0.720342307633649 \tabularnewline
49 & 196 & 191.218741128364 & 3.20563176056349 & 4.7812588716363 & 0.551346831749448 \tabularnewline
50 & 196 & 193.579365260046 & 2.62011472202206 & 2.42063473995379 & -0.0461303970967936 \tabularnewline
51 & 236 & 218.307132024934 & 17.8926385567099 & 17.6928679750664 & 1.20301536108544 \tabularnewline
52 & 235 & 241.229495400402 & 21.3648406881194 & -6.22949540040171 & 0.27407021796653 \tabularnewline
53 & 229 & 249.142330680336 & 12.0615504033218 & -20.142330680336 & -0.734159647333865 \tabularnewline
54 & 243 & 245.706059926222 & 1.34448643978879 & -2.70605992622232 & -0.844275931041253 \tabularnewline
55 & 264 & 257.065261040202 & 8.26125951268102 & 6.93473895979823 & 0.544865112955807 \tabularnewline
56 & 272 & 257.423242731382 & 2.8034225316185 & 14.5767572686184 & -0.430158923942218 \tabularnewline
57 & 237 & 242.918319258219 & -9.15456065058439 & -5.91831925821928 & -0.942527595716623 \tabularnewline
58 & 211 & 219.71762162495 & -18.859775211276 & -8.71762162494979 & -0.764957959569833 \tabularnewline
59 & 180 & 196.554402038674 & -21.8326820649401 & -16.5544020386742 & -0.234354717904759 \tabularnewline
60 & 201 & 189.552400021825 & -11.5865155525555 & 11.4475999781746 & 0.808018098380265 \tabularnewline
61 & 204 & 194.89477556606 & 0.11396961632469 & 9.10522443393955 & 0.922657384413557 \tabularnewline
62 & 188 & 193.96801015127 & -0.604799911966054 & -5.96801015127003 & -0.056627573640189 \tabularnewline
63 & 235 & 213.769823203398 & 13.4610167493086 & 21.230176796602 & 1.10820943957462 \tabularnewline
64 & 227 & 229.318245041016 & 14.8991855098083 & -2.31824504101622 & 0.113458600914985 \tabularnewline
65 & 234 & 249.227766382786 & 18.3554252898439 & -15.2277663827862 & 0.272673321855143 \tabularnewline
66 & 264 & 270.882710863454 & 20.6319762095505 & -6.88271086345406 & 0.179400008010338 \tabularnewline
67 & 302 & 293.37361175397 & 21.9134539473499 & 8.62638824603008 & 0.100953005782807 \tabularnewline
68 & 293 & 281.873202730559 & -1.1123282140263 & 11.1267972694408 & -1.8145502678973 \tabularnewline
69 & 259 & 262.838544116746 & -13.4650232248977 & -3.83854411674623 & -0.973630087414719 \tabularnewline
70 & 229 & 237.991720930053 & -21.3106154789348 & -8.99172093005306 & -0.618420447804994 \tabularnewline
71 & 203 & 221.812544435891 & -17.7735208048272 & -18.812544435891 & 0.278850456865752 \tabularnewline
72 & 229 & 217.879015787941 & -8.23165772859719 & 11.1209842120591 & 0.752399959936671 \tabularnewline
73 & 242 & 227.484977467781 & 4.06915928778074 & 14.5150225322193 & 0.969739544903306 \tabularnewline
74 & 233 & 242.250760108805 & 11.4403317602053 & -9.25076010880478 & 0.580745840638935 \tabularnewline
75 & 267 & 248.062639741772 & 7.56707663813794 & 18.9373602582275 & -0.305200329142554 \tabularnewline
76 & 269 & 270.031042669278 & 17.4745675343773 & -1.03104266927836 & 0.781397709786735 \tabularnewline
77 & 270 & 289.244359284586 & 18.6718156797042 & -19.2443592845857 & 0.0944370993198884 \tabularnewline
78 & 315 & 320.691007381653 & 27.4708742967183 & -5.691007381653 & 0.693514204860775 \tabularnewline
79 & 364 & 346.458230900341 & 26.2981469289194 & 17.541769099659 & -0.0923937608939035 \tabularnewline
80 & 347 & 338.399552855742 & 2.6597389360885 & 8.60044714425826 & -1.86269968223472 \tabularnewline
81 & 312 & 316.241246632203 & -14.4152506879945 & -4.24124663220328 & -1.34581034365627 \tabularnewline
82 & 274 & 286.808838870134 & -24.7480933077233 & -12.8088388701336 & -0.81452212606517 \tabularnewline
83 & 237 & 259.835954061004 & -26.2790736817799 & -22.8359540610035 & -0.120702775896183 \tabularnewline
84 & 278 & 264.010296413785 & -5.31729801318435 & 13.9897035862153 & 1.65275188392807 \tabularnewline
85 & 284 & 269.668371511854 & 2.23809332594426 & 14.3316284881456 & 0.595542863900999 \tabularnewline
86 & 277 & 281.221902039071 & 8.64661735528513 & -4.22190203907051 & 0.504919188716141 \tabularnewline
87 & 317 & 299.733716481587 & 15.4262942303801 & 17.2662835184128 & 0.534254380063846 \tabularnewline
88 & 313 & 316.164952707182 & 16.1167838348508 & -3.16495270718163 & 0.0544499609629326 \tabularnewline
89 & 318 & 341.787807511363 & 22.6527974428025 & -23.7878075113627 & 0.515484762676384 \tabularnewline
90 & 374 & 378.081218560198 & 32.0346741385459 & -4.08121856019835 & 0.739517347770416 \tabularnewline
91 & 413 & 390.981708455476 & 18.8801434233096 & 22.0182915445236 & -1.03646640591722 \tabularnewline
92 & 405 & 391.716959412459 & 6.41231288045716 & 13.2830405875407 & -0.982429961870696 \tabularnewline
93 & 355 & 361.647517720409 & -18.6508146909102 & -6.64751772040885 & -1.97537635872817 \tabularnewline
94 & 306 & 321.631712040905 & -33.329598859034 & -15.6317120409046 & -1.15715376896973 \tabularnewline
95 & 271 & 299.208981706229 & -25.8346023909536 & -28.2089817062288 & 0.590925951704717 \tabularnewline
96 & 306 & 290.647640443221 & -13.9615004471415 & 15.3523595567789 & 0.936088813046964 \tabularnewline
97 & 315 & 297.700264803286 & 0.483266163712106 & 17.2997351967144 & 1.13849103382948 \tabularnewline
98 & 301 & 305.766995882589 & 5.69289545551232 & -4.76699588258897 & 0.410472518540282 \tabularnewline
99 & 356 & 333.322142378532 & 20.6993532899862 & 22.6778576214679 & 1.18259471298689 \tabularnewline
100 & 348 & 356.383501595624 & 22.3204232112648 & -8.38350159562428 & 0.127820386185564 \tabularnewline
101 & 355 & 384.08800970326 & 26.0176013563954 & -29.08800970326 & 0.291563732180276 \tabularnewline
102 & 422 & 420.362725231428 & 33.0633138362695 & 1.63727476857158 & 0.555397411780698 \tabularnewline
103 & 465 & 441.582411474594 & 24.93046801643 & 23.4175885254062 & -0.640839883220946 \tabularnewline
104 & 467 & 445.923303173761 & 10.7993929994854 & 21.0766968262392 & -1.11347787700111 \tabularnewline
105 & 404 & 413.091335432728 & -19.1376659093341 & -9.09133543272796 & -2.35948271291471 \tabularnewline
106 & 347 & 369.497691260539 & -35.9184597152968 & -22.4976912605393 & -1.32289021279173 \tabularnewline
107 & 305 & 336.359426599933 & -34.0103331576513 & -31.3594265999333 & 0.150444180115352 \tabularnewline
108 & 336 & 321.234328622391 & -21.0453303951229 & 14.7656713776089 & 1.0221298478572 \tabularnewline
109 & 340 & 319.887574725467 & -7.52238098495136 & 20.1124252745325 & 1.06578525539653 \tabularnewline
110 & 318 & 325.785099110543 & 1.68521451577842 & -7.7850991105426 & 0.725496573466243 \tabularnewline
111 & 362 & 337.592540246589 & 8.62555362811972 & 24.4074597534108 & 0.546953694815252 \tabularnewline
112 & 348 & 357.240233063419 & 16.1821123724581 & -9.2402330634192 & 0.595791749500875 \tabularnewline
113 & 363 & 393.310811296777 & 29.8234812295444 & -30.3108112967769 & 1.07570034917403 \tabularnewline
114 & 435 & 431.338507543416 & 35.4524332090253 & 3.66149245658433 & 0.443727044162565 \tabularnewline
115 & 491 & 463.215771902574 & 33.0001119489105 & 27.7842280974265 & -0.193243447022124 \tabularnewline
116 & 505 & 474.716418677173 & 18.2605078837423 & 30.2835813228273 & -1.16143083598959 \tabularnewline
117 & 404 & 421.551173574912 & -30.6917992551898 & -17.5511735749115 & -3.85812331343686 \tabularnewline
118 & 359 & 381.045712100521 & -37.4178140421566 & -22.0457121005205 & -0.530241025603564 \tabularnewline
119 & 310 & 346.0975301111 & -35.7247511126809 & -36.0975301110995 & 0.133488015466359 \tabularnewline
120 & 337 & 323.990935445661 & -26.3863191610187 & 13.0090645543386 & 0.736195483328625 \tabularnewline
121 & 360 & 333.613484523 & -1.69537031959555 & 26.3865154770001 & 1.9459193826642 \tabularnewline
122 & 342 & 348.340460569421 & 9.55953664932815 & -6.34046056942121 & 0.886832445330288 \tabularnewline
123 & 406 & 379.535573906621 & 24.3788300117206 & 26.4644260933789 & 1.16789994869316 \tabularnewline
124 & 396 & 411.735082815414 & 29.7351664157652 & -15.7350828154141 & 0.422297343302873 \tabularnewline
125 & 420 & 453.440291883131 & 37.9365978274668 & -33.4402918831311 & 0.64669521946035 \tabularnewline
126 & 472 & 475.781853113635 & 27.2483811539957 & -3.78185311363486 & -0.842552142012568 \tabularnewline
127 & 548 & 510.955894935174 & 32.6792161671939 & 37.0441050648258 & 0.427965982724959 \tabularnewline
128 & 559 & 513.663290127221 & 12.1518514538695 & 45.3367098727792 & -1.61750229656008 \tabularnewline
129 & 463 & 484.876511647224 & -15.8768915200443 & -21.8765116472242 & -2.20904065961301 \tabularnewline
130 & 407 & 434.840687326008 & -39.2639975082408 & -27.8406873260078 & -1.84370692809887 \tabularnewline
131 & 362 & 399.140219827639 & -36.8235511527545 & -37.1402198276392 & 0.192413435218984 \tabularnewline
132 & 405 & 394.181742875682 & -14.9955798851279 & 10.8182571243181 & 1.72076552885499 \tabularnewline
133 & 417 & 392.714812663572 & -5.72902794845795 & 24.2851873364283 & 0.73029747567982 \tabularnewline
134 & 391 & 400.377184982352 & 3.4391873941442 & -9.37718498235222 & 0.72242702241896 \tabularnewline
135 & 419 & 397.703336343659 & -0.743936208446814 & 21.2966636563415 & -0.329674040512217 \tabularnewline
136 & 461 & 463.863961086494 & 45.0355881816911 & -2.86396108649443 & 3.60916421647851 \tabularnewline
137 & 472 & 506.973754337018 & 43.7174067784311 & -34.9737543370182 & -0.103936003602995 \tabularnewline
138 & 535 & 544.916091563137 & 39.7633943888375 & -9.91609156313685 & -0.311694512031414 \tabularnewline
139 & 622 & 578.09507851124 & 35.2560028600415 & 43.9049214887597 & -0.355205283669116 \tabularnewline
140 & 606 & 560.043255319871 & -1.21956232657295 & 45.9567446801294 & -2.87421682829079 \tabularnewline
141 & 508 & 524.076188294391 & -24.987046154215 & -16.0761882943915 & -1.87319018374507 \tabularnewline
142 & 461 & 490.500756533696 & -30.8615124947147 & -29.5007565336962 & -0.4631065321272 \tabularnewline
143 & 390 & 441.011230966095 & -43.6064594783813 & -51.0112309660946 & -1.00484347003423 \tabularnewline
144 & 432 & 417.850761361096 & -29.6143514972878 & 14.1492386389044 & 1.10301852210923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313718&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/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]112[/C][C]112[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]118[/C][C]116.662660691979[/C][C]4.77318459655681[/C][C]1.3373393080215[/C][C]0.424228086172193[/C][/ROW]
[ROW][C]3[/C][C]132[/C][C]130.365394352839[/C][C]11.0862936337322[/C][C]1.63460564716112[/C][C]0.52904818226706[/C][/ROW]
[ROW][C]4[/C][C]129[/C][C]132.255403850264[/C][C]4.19626456278722[/C][C]-3.25540385026373[/C][C]-0.555722248070438[/C][/ROW]
[ROW][C]5[/C][C]121[/C][C]123.494626313318[/C][C]-5.30231596523095[/C][C]-2.49462631331757[/C][C]-0.743105140697109[/C][/ROW]
[ROW][C]6[/C][C]135[/C][C]130.681795096133[/C][C]3.82135878950238[/C][C]4.31820490386688[/C][C]0.720130136093354[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]145.95414617589[/C][C]12.2106077783817[/C][C]2.04585382410984[/C][C]0.661413933687773[/C][/ROW]
[ROW][C]8[/C][C]148[/C][C]150.795462247693[/C][C]6.80932805907052[/C][C]-2.79546224769265[/C][C]-0.425692617414176[/C][/ROW]
[ROW][C]9[/C][C]136[/C][C]139.990520461142[/C][C]-6.09921661108481[/C][C]-3.99052046114199[/C][C]-1.01743382119269[/C][/ROW]
[ROW][C]10[/C][C]119[/C][C]120.957802643626[/C][C]-15.5758529614203[/C][C]-1.95780264362581[/C][C]-0.746920925721825[/C][/ROW]
[ROW][C]11[/C][C]104[/C][C]103.451987938169[/C][C]-16.9899078937452[/C][C]0.548012061831386[/C][C]-0.111451576615057[/C][/ROW]
[ROW][C]12[/C][C]118[/C][C]111.320724908025[/C][C]1.22405968147952[/C][C]6.67927509197536[/C][C]1.43557121455783[/C][/ROW]
[ROW][C]13[/C][C]115[/C][C]116.084408332275[/C][C]3.81134582858267[/C][C]-1.08440833227487[/C][C]0.204507755216068[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]126.603292629051[/C][C]8.73193658861958[/C][C]-0.603292629051315[/C][C]0.393842491577361[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]136.885429065906[/C][C]9.82660252825699[/C][C]4.11457093409419[/C][C]0.085910466745844[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]136.623510513833[/C][C]2.70264247401261[/C][C]-1.62351051383314[/C][C]-0.570082862043017[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]132.265782545223[/C][C]-2.30644388123072[/C][C]-7.26578254522338[/C][C]-0.394341927585491[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]144.775317988906[/C][C]8.12592960099471[/C][C]4.22468201109421[/C][C]0.820765499590697[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]165.123434644029[/C][C]16.734409840045[/C][C]4.87656535597064[/C][C]0.678999374534414[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]172.074060152829[/C][C]9.83368022679296[/C][C]-2.07406015282946[/C][C]-0.543950566449587[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]162.374910366245[/C][C]-3.94679540358159[/C][C]-4.37491036624512[/C][C]-1.08607975752952[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]137.890543691972[/C][C]-18.4354258576592[/C][C]-4.89054369197169[/C][C]-1.14202127898744[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]118.55440232252[/C][C]-19.0706500951791[/C][C]-4.55440232251979[/C][C]-0.0500667858586147[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]126.410420294526[/C][C]-0.0991671928179443[/C][C]13.5895797054736[/C][C]1.49570940097135[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]144.556713580489[/C][C]12.7565716010625[/C][C]0.443286419510808[/C][C]1.01622753905488[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]153.059876069626[/C][C]9.75587656101322[/C][C]-3.05987606962599[/C][C]-0.236842074525383[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]168.054580499638[/C][C]13.4122460107618[/C][C]9.94541950036212[/C][C]0.28757658204062[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]166.179349052113[/C][C]2.76495812651563[/C][C]-3.17934905211301[/C][C]-0.843936935671881[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]180.701907583316[/C][C]10.991831636677[/C][C]-8.7019075833164[/C][C]0.649400425767118[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]182.663271318504[/C][C]4.69351474125224[/C][C]-4.66327131850378[/C][C]-0.495508878727709[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]191.57278141991[/C][C]7.62913307620131[/C][C]7.42721858008951[/C][C]0.231380018920377[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]196.307186196716[/C][C]5.61137205080319[/C][C]2.6928138032839[/C][C]-0.159076903419788[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]184.834370093769[/C][C]-6.30429066619387[/C][C]-0.834370093769195[/C][C]-0.939119855845862[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]167.362943994465[/C][C]-14.0929320058532[/C][C]-5.36294399446519[/C][C]-0.613904700038411[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]156.883810085052[/C][C]-11.5736790678564[/C][C]-10.8838100850517[/C][C]0.198561325683732[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]155.255957151393[/C][C]-4.64475458305583[/C][C]10.7440428486071[/C][C]0.546454103455683[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]165.813389343761[/C][C]5.95357048585087[/C][C]5.18661065623948[/C][C]0.836837132980248[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]181.919670427446[/C][C]13.0291186315214[/C][C]-1.91967042744559[/C][C]0.557592856695914[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]182.266819693389[/C][C]4.23629440934127[/C][C]10.7331803066105[/C][C]-0.692294781328485[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]187.090472914484[/C][C]4.64303253291799[/C][C]-6.09047291448359[/C][C]0.0321419755993981[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]190.410474050316[/C][C]3.72421790674782[/C][C]-7.41047405031623[/C][C]-0.072530477901964[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]218.899635162735[/C][C]20.9062887217236[/C][C]-0.899635162735379[/C][C]1.35283018926052[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]227.041135862056[/C][C]12.0647608085218[/C][C]2.95886413794388[/C][C]-0.696554742454622[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]234.341611389065[/C][C]8.76358143975541[/C][C]7.65838861093532[/C][C]-0.260227676771173[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]213.332056274093[/C][C]-11.879369430723[/C][C]-4.33205627409328[/C][C]-1.62704133496431[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]196.521087801052[/C][C]-15.2988629764675[/C][C]-5.52108780105165[/C][C]-0.269515363096117[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]184.65955368957[/C][C]-12.9163867657265[/C][C]-12.6595536895704[/C][C]0.187794396810766[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]184.923152430632[/C][C]-3.78282979235403[/C][C]9.07684756936764[/C][C]0.720342307633649[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]191.218741128364[/C][C]3.20563176056349[/C][C]4.7812588716363[/C][C]0.551346831749448[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]193.579365260046[/C][C]2.62011472202206[/C][C]2.42063473995379[/C][C]-0.0461303970967936[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]218.307132024934[/C][C]17.8926385567099[/C][C]17.6928679750664[/C][C]1.20301536108544[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]241.229495400402[/C][C]21.3648406881194[/C][C]-6.22949540040171[/C][C]0.27407021796653[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]249.142330680336[/C][C]12.0615504033218[/C][C]-20.142330680336[/C][C]-0.734159647333865[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]245.706059926222[/C][C]1.34448643978879[/C][C]-2.70605992622232[/C][C]-0.844275931041253[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]257.065261040202[/C][C]8.26125951268102[/C][C]6.93473895979823[/C][C]0.544865112955807[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]257.423242731382[/C][C]2.8034225316185[/C][C]14.5767572686184[/C][C]-0.430158923942218[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]242.918319258219[/C][C]-9.15456065058439[/C][C]-5.91831925821928[/C][C]-0.942527595716623[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.71762162495[/C][C]-18.859775211276[/C][C]-8.71762162494979[/C][C]-0.764957959569833[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]196.554402038674[/C][C]-21.8326820649401[/C][C]-16.5544020386742[/C][C]-0.234354717904759[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]189.552400021825[/C][C]-11.5865155525555[/C][C]11.4475999781746[/C][C]0.808018098380265[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]194.89477556606[/C][C]0.11396961632469[/C][C]9.10522443393955[/C][C]0.922657384413557[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]193.96801015127[/C][C]-0.604799911966054[/C][C]-5.96801015127003[/C][C]-0.056627573640189[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]213.769823203398[/C][C]13.4610167493086[/C][C]21.230176796602[/C][C]1.10820943957462[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]229.318245041016[/C][C]14.8991855098083[/C][C]-2.31824504101622[/C][C]0.113458600914985[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]249.227766382786[/C][C]18.3554252898439[/C][C]-15.2277663827862[/C][C]0.272673321855143[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]270.882710863454[/C][C]20.6319762095505[/C][C]-6.88271086345406[/C][C]0.179400008010338[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]293.37361175397[/C][C]21.9134539473499[/C][C]8.62638824603008[/C][C]0.100953005782807[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]281.873202730559[/C][C]-1.1123282140263[/C][C]11.1267972694408[/C][C]-1.8145502678973[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]262.838544116746[/C][C]-13.4650232248977[/C][C]-3.83854411674623[/C][C]-0.973630087414719[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]237.991720930053[/C][C]-21.3106154789348[/C][C]-8.99172093005306[/C][C]-0.618420447804994[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]221.812544435891[/C][C]-17.7735208048272[/C][C]-18.812544435891[/C][C]0.278850456865752[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]217.879015787941[/C][C]-8.23165772859719[/C][C]11.1209842120591[/C][C]0.752399959936671[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]227.484977467781[/C][C]4.06915928778074[/C][C]14.5150225322193[/C][C]0.969739544903306[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]242.250760108805[/C][C]11.4403317602053[/C][C]-9.25076010880478[/C][C]0.580745840638935[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]248.062639741772[/C][C]7.56707663813794[/C][C]18.9373602582275[/C][C]-0.305200329142554[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]270.031042669278[/C][C]17.4745675343773[/C][C]-1.03104266927836[/C][C]0.781397709786735[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]289.244359284586[/C][C]18.6718156797042[/C][C]-19.2443592845857[/C][C]0.0944370993198884[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]320.691007381653[/C][C]27.4708742967183[/C][C]-5.691007381653[/C][C]0.693514204860775[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]346.458230900341[/C][C]26.2981469289194[/C][C]17.541769099659[/C][C]-0.0923937608939035[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]338.399552855742[/C][C]2.6597389360885[/C][C]8.60044714425826[/C][C]-1.86269968223472[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]316.241246632203[/C][C]-14.4152506879945[/C][C]-4.24124663220328[/C][C]-1.34581034365627[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]286.808838870134[/C][C]-24.7480933077233[/C][C]-12.8088388701336[/C][C]-0.81452212606517[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]259.835954061004[/C][C]-26.2790736817799[/C][C]-22.8359540610035[/C][C]-0.120702775896183[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]264.010296413785[/C][C]-5.31729801318435[/C][C]13.9897035862153[/C][C]1.65275188392807[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]269.668371511854[/C][C]2.23809332594426[/C][C]14.3316284881456[/C][C]0.595542863900999[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]281.221902039071[/C][C]8.64661735528513[/C][C]-4.22190203907051[/C][C]0.504919188716141[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]299.733716481587[/C][C]15.4262942303801[/C][C]17.2662835184128[/C][C]0.534254380063846[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.164952707182[/C][C]16.1167838348508[/C][C]-3.16495270718163[/C][C]0.0544499609629326[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]341.787807511363[/C][C]22.6527974428025[/C][C]-23.7878075113627[/C][C]0.515484762676384[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]378.081218560198[/C][C]32.0346741385459[/C][C]-4.08121856019835[/C][C]0.739517347770416[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]390.981708455476[/C][C]18.8801434233096[/C][C]22.0182915445236[/C][C]-1.03646640591722[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]391.716959412459[/C][C]6.41231288045716[/C][C]13.2830405875407[/C][C]-0.982429961870696[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]361.647517720409[/C][C]-18.6508146909102[/C][C]-6.64751772040885[/C][C]-1.97537635872817[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]321.631712040905[/C][C]-33.329598859034[/C][C]-15.6317120409046[/C][C]-1.15715376896973[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]299.208981706229[/C][C]-25.8346023909536[/C][C]-28.2089817062288[/C][C]0.590925951704717[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]290.647640443221[/C][C]-13.9615004471415[/C][C]15.3523595567789[/C][C]0.936088813046964[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]297.700264803286[/C][C]0.483266163712106[/C][C]17.2997351967144[/C][C]1.13849103382948[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]305.766995882589[/C][C]5.69289545551232[/C][C]-4.76699588258897[/C][C]0.410472518540282[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]333.322142378532[/C][C]20.6993532899862[/C][C]22.6778576214679[/C][C]1.18259471298689[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]356.383501595624[/C][C]22.3204232112648[/C][C]-8.38350159562428[/C][C]0.127820386185564[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]384.08800970326[/C][C]26.0176013563954[/C][C]-29.08800970326[/C][C]0.291563732180276[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]420.362725231428[/C][C]33.0633138362695[/C][C]1.63727476857158[/C][C]0.555397411780698[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]441.582411474594[/C][C]24.93046801643[/C][C]23.4175885254062[/C][C]-0.640839883220946[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]445.923303173761[/C][C]10.7993929994854[/C][C]21.0766968262392[/C][C]-1.11347787700111[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]413.091335432728[/C][C]-19.1376659093341[/C][C]-9.09133543272796[/C][C]-2.35948271291471[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]369.497691260539[/C][C]-35.9184597152968[/C][C]-22.4976912605393[/C][C]-1.32289021279173[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]336.359426599933[/C][C]-34.0103331576513[/C][C]-31.3594265999333[/C][C]0.150444180115352[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]321.234328622391[/C][C]-21.0453303951229[/C][C]14.7656713776089[/C][C]1.0221298478572[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]319.887574725467[/C][C]-7.52238098495136[/C][C]20.1124252745325[/C][C]1.06578525539653[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]325.785099110543[/C][C]1.68521451577842[/C][C]-7.7850991105426[/C][C]0.725496573466243[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]337.592540246589[/C][C]8.62555362811972[/C][C]24.4074597534108[/C][C]0.546953694815252[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]357.240233063419[/C][C]16.1821123724581[/C][C]-9.2402330634192[/C][C]0.595791749500875[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]393.310811296777[/C][C]29.8234812295444[/C][C]-30.3108112967769[/C][C]1.07570034917403[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]431.338507543416[/C][C]35.4524332090253[/C][C]3.66149245658433[/C][C]0.443727044162565[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]463.215771902574[/C][C]33.0001119489105[/C][C]27.7842280974265[/C][C]-0.193243447022124[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]474.716418677173[/C][C]18.2605078837423[/C][C]30.2835813228273[/C][C]-1.16143083598959[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]421.551173574912[/C][C]-30.6917992551898[/C][C]-17.5511735749115[/C][C]-3.85812331343686[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]381.045712100521[/C][C]-37.4178140421566[/C][C]-22.0457121005205[/C][C]-0.530241025603564[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]346.0975301111[/C][C]-35.7247511126809[/C][C]-36.0975301110995[/C][C]0.133488015466359[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]323.990935445661[/C][C]-26.3863191610187[/C][C]13.0090645543386[/C][C]0.736195483328625[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]333.613484523[/C][C]-1.69537031959555[/C][C]26.3865154770001[/C][C]1.9459193826642[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]348.340460569421[/C][C]9.55953664932815[/C][C]-6.34046056942121[/C][C]0.886832445330288[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]379.535573906621[/C][C]24.3788300117206[/C][C]26.4644260933789[/C][C]1.16789994869316[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]411.735082815414[/C][C]29.7351664157652[/C][C]-15.7350828154141[/C][C]0.422297343302873[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]453.440291883131[/C][C]37.9365978274668[/C][C]-33.4402918831311[/C][C]0.64669521946035[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]475.781853113635[/C][C]27.2483811539957[/C][C]-3.78185311363486[/C][C]-0.842552142012568[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]510.955894935174[/C][C]32.6792161671939[/C][C]37.0441050648258[/C][C]0.427965982724959[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]513.663290127221[/C][C]12.1518514538695[/C][C]45.3367098727792[/C][C]-1.61750229656008[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]484.876511647224[/C][C]-15.8768915200443[/C][C]-21.8765116472242[/C][C]-2.20904065961301[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]434.840687326008[/C][C]-39.2639975082408[/C][C]-27.8406873260078[/C][C]-1.84370692809887[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]399.140219827639[/C][C]-36.8235511527545[/C][C]-37.1402198276392[/C][C]0.192413435218984[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]394.181742875682[/C][C]-14.9955798851279[/C][C]10.8182571243181[/C][C]1.72076552885499[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]392.714812663572[/C][C]-5.72902794845795[/C][C]24.2851873364283[/C][C]0.73029747567982[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]400.377184982352[/C][C]3.4391873941442[/C][C]-9.37718498235222[/C][C]0.72242702241896[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]397.703336343659[/C][C]-0.743936208446814[/C][C]21.2966636563415[/C][C]-0.329674040512217[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]463.863961086494[/C][C]45.0355881816911[/C][C]-2.86396108649443[/C][C]3.60916421647851[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]506.973754337018[/C][C]43.7174067784311[/C][C]-34.9737543370182[/C][C]-0.103936003602995[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]544.916091563137[/C][C]39.7633943888375[/C][C]-9.91609156313685[/C][C]-0.311694512031414[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]578.09507851124[/C][C]35.2560028600415[/C][C]43.9049214887597[/C][C]-0.355205283669116[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]560.043255319871[/C][C]-1.21956232657295[/C][C]45.9567446801294[/C][C]-2.87421682829079[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]524.076188294391[/C][C]-24.987046154215[/C][C]-16.0761882943915[/C][C]-1.87319018374507[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]490.500756533696[/C][C]-30.8615124947147[/C][C]-29.5007565336962[/C][C]-0.4631065321272[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]441.011230966095[/C][C]-43.6064594783813[/C][C]-51.0112309660946[/C][C]-1.00484347003423[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]417.850761361096[/C][C]-29.6143514972878[/C][C]14.1492386389044[/C][C]1.10301852210923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313718&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313718&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 -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
1112112000
2118116.6626606919794.773184596556811.33733930802150.424228086172193
3132130.36539435283911.08629363373221.634605647161120.52904818226706
4129132.2554038502644.19626456278722-3.25540385026373-0.555722248070438
5121123.494626313318-5.30231596523095-2.49462631331757-0.743105140697109
6135130.6817950961333.821358789502384.318204903866880.720130136093354
7148145.9541461758912.21060777838172.045853824109840.661413933687773
8148150.7954622476936.80932805907052-2.79546224769265-0.425692617414176
9136139.990520461142-6.09921661108481-3.99052046114199-1.01743382119269
10119120.957802643626-15.5758529614203-1.95780264362581-0.746920925721825
11104103.451987938169-16.98990789374520.548012061831386-0.111451576615057
12118111.3207249080251.224059681479526.679275091975361.43557121455783
13115116.0844083322753.81134582858267-1.084408332274870.204507755216068
14126126.6032926290518.73193658861958-0.6032926290513150.393842491577361
15141136.8854290659069.826602528256994.114570934094190.085910466745844
16135136.6235105138332.70264247401261-1.62351051383314-0.570082862043017
17125132.265782545223-2.30644388123072-7.26578254522338-0.394341927585491
18149144.7753179889068.125929600994714.224682011094210.820765499590697
19170165.12343464402916.7344098400454.876565355970640.678999374534414
20170172.0740601528299.83368022679296-2.07406015282946-0.543950566449587
21158162.374910366245-3.94679540358159-4.37491036624512-1.08607975752952
22133137.890543691972-18.4354258576592-4.89054369197169-1.14202127898744
23114118.55440232252-19.0706500951791-4.55440232251979-0.0500667858586147
24140126.410420294526-0.099167192817944313.58957970547361.49570940097135
25145144.55671358048912.75657160106250.4432864195108081.01622753905488
26150153.0598760696269.75587656101322-3.05987606962599-0.236842074525383
27178168.05458049963813.41224601076189.945419500362120.28757658204062
28163166.1793490521132.76495812651563-3.17934905211301-0.843936935671881
29172180.70190758331610.991831636677-8.70190758331640.649400425767118
30178182.6632713185044.69351474125224-4.66327131850378-0.495508878727709
31199191.572781419917.629133076201317.427218580089510.231380018920377
32199196.3071861967165.611372050803192.6928138032839-0.159076903419788
33184184.834370093769-6.30429066619387-0.834370093769195-0.939119855845862
34162167.362943994465-14.0929320058532-5.36294399446519-0.613904700038411
35146156.883810085052-11.5736790678564-10.88381008505170.198561325683732
36166155.255957151393-4.6447545830558310.74404284860710.546454103455683
37171165.8133893437615.953570485850875.186610656239480.836837132980248
38180181.91967042744613.0291186315214-1.919670427445590.557592856695914
39193182.2668196933894.2362944093412710.7331803066105-0.692294781328485
40181187.0904729144844.64303253291799-6.090472914483590.0321419755993981
41183190.4104740503163.72421790674782-7.41047405031623-0.072530477901964
42218218.89963516273520.9062887217236-0.8996351627353791.35283018926052
43230227.04113586205612.06476080852182.95886413794388-0.696554742454622
44242234.3416113890658.763581439755417.65838861093532-0.260227676771173
45209213.332056274093-11.879369430723-4.33205627409328-1.62704133496431
46191196.521087801052-15.2988629764675-5.52108780105165-0.269515363096117
47172184.65955368957-12.9163867657265-12.65955368957040.187794396810766
48194184.923152430632-3.782829792354039.076847569367640.720342307633649
49196191.2187411283643.205631760563494.78125887163630.551346831749448
50196193.5793652600462.620114722022062.42063473995379-0.0461303970967936
51236218.30713202493417.892638556709917.69286797506641.20301536108544
52235241.22949540040221.3648406881194-6.229495400401710.27407021796653
53229249.14233068033612.0615504033218-20.142330680336-0.734159647333865
54243245.7060599262221.34448643978879-2.70605992622232-0.844275931041253
55264257.0652610402028.261259512681026.934738959798230.544865112955807
56272257.4232427313822.803422531618514.5767572686184-0.430158923942218
57237242.918319258219-9.15456065058439-5.91831925821928-0.942527595716623
58211219.71762162495-18.859775211276-8.71762162494979-0.764957959569833
59180196.554402038674-21.8326820649401-16.5544020386742-0.234354717904759
60201189.552400021825-11.586515552555511.44759997817460.808018098380265
61204194.894775566060.113969616324699.105224433939550.922657384413557
62188193.96801015127-0.604799911966054-5.96801015127003-0.056627573640189
63235213.76982320339813.461016749308621.2301767966021.10820943957462
64227229.31824504101614.8991855098083-2.318245041016220.113458600914985
65234249.22776638278618.3554252898439-15.22776638278620.272673321855143
66264270.88271086345420.6319762095505-6.882710863454060.179400008010338
67302293.3736117539721.91345394734998.626388246030080.100953005782807
68293281.873202730559-1.112328214026311.1267972694408-1.8145502678973
69259262.838544116746-13.4650232248977-3.83854411674623-0.973630087414719
70229237.991720930053-21.3106154789348-8.99172093005306-0.618420447804994
71203221.812544435891-17.7735208048272-18.8125444358910.278850456865752
72229217.879015787941-8.2316577285971911.12098421205910.752399959936671
73242227.4849774677814.0691592877807414.51502253221930.969739544903306
74233242.25076010880511.4403317602053-9.250760108804780.580745840638935
75267248.0626397417727.5670766381379418.9373602582275-0.305200329142554
76269270.03104266927817.4745675343773-1.031042669278360.781397709786735
77270289.24435928458618.6718156797042-19.24435928458570.0944370993198884
78315320.69100738165327.4708742967183-5.6910073816530.693514204860775
79364346.45823090034126.298146928919417.541769099659-0.0923937608939035
80347338.3995528557422.65973893608858.60044714425826-1.86269968223472
81312316.241246632203-14.4152506879945-4.24124663220328-1.34581034365627
82274286.808838870134-24.7480933077233-12.8088388701336-0.81452212606517
83237259.835954061004-26.2790736817799-22.8359540610035-0.120702775896183
84278264.010296413785-5.3172980131843513.98970358621531.65275188392807
85284269.6683715118542.2380933259442614.33162848814560.595542863900999
86277281.2219020390718.64661735528513-4.221902039070510.504919188716141
87317299.73371648158715.426294230380117.26628351841280.534254380063846
88313316.16495270718216.1167838348508-3.164952707181630.0544499609629326
89318341.78780751136322.6527974428025-23.78780751136270.515484762676384
90374378.08121856019832.0346741385459-4.081218560198350.739517347770416
91413390.98170845547618.880143423309622.0182915445236-1.03646640591722
92405391.7169594124596.4123128804571613.2830405875407-0.982429961870696
93355361.647517720409-18.6508146909102-6.64751772040885-1.97537635872817
94306321.631712040905-33.329598859034-15.6317120409046-1.15715376896973
95271299.208981706229-25.8346023909536-28.20898170622880.590925951704717
96306290.647640443221-13.961500447141515.35235955677890.936088813046964
97315297.7002648032860.48326616371210617.29973519671441.13849103382948
98301305.7669958825895.69289545551232-4.766995882588970.410472518540282
99356333.32214237853220.699353289986222.67785762146791.18259471298689
100348356.38350159562422.3204232112648-8.383501595624280.127820386185564
101355384.0880097032626.0176013563954-29.088009703260.291563732180276
102422420.36272523142833.06331383626951.637274768571580.555397411780698
103465441.58241147459424.9304680164323.4175885254062-0.640839883220946
104467445.92330317376110.799392999485421.0766968262392-1.11347787700111
105404413.091335432728-19.1376659093341-9.09133543272796-2.35948271291471
106347369.497691260539-35.9184597152968-22.4976912605393-1.32289021279173
107305336.359426599933-34.0103331576513-31.35942659993330.150444180115352
108336321.234328622391-21.045330395122914.76567137760891.0221298478572
109340319.887574725467-7.5223809849513620.11242527453251.06578525539653
110318325.7850991105431.68521451577842-7.78509911054260.725496573466243
111362337.5925402465898.6255536281197224.40745975341080.546953694815252
112348357.24023306341916.1821123724581-9.24023306341920.595791749500875
113363393.31081129677729.8234812295444-30.31081129677691.07570034917403
114435431.33850754341635.45243320902533.661492456584330.443727044162565
115491463.21577190257433.000111948910527.7842280974265-0.193243447022124
116505474.71641867717318.260507883742330.2835813228273-1.16143083598959
117404421.551173574912-30.6917992551898-17.5511735749115-3.85812331343686
118359381.045712100521-37.4178140421566-22.0457121005205-0.530241025603564
119310346.0975301111-35.7247511126809-36.09753011109950.133488015466359
120337323.990935445661-26.386319161018713.00906455433860.736195483328625
121360333.613484523-1.6953703195955526.38651547700011.9459193826642
122342348.3404605694219.55953664932815-6.340460569421210.886832445330288
123406379.53557390662124.378830011720626.46442609337891.16789994869316
124396411.73508281541429.7351664157652-15.73508281541410.422297343302873
125420453.44029188313137.9365978274668-33.44029188313110.64669521946035
126472475.78185311363527.2483811539957-3.78185311363486-0.842552142012568
127548510.95589493517432.679216167193937.04410506482580.427965982724959
128559513.66329012722112.151851453869545.3367098727792-1.61750229656008
129463484.876511647224-15.8768915200443-21.8765116472242-2.20904065961301
130407434.840687326008-39.2639975082408-27.8406873260078-1.84370692809887
131362399.140219827639-36.8235511527545-37.14021982763920.192413435218984
132405394.181742875682-14.995579885127910.81825712431811.72076552885499
133417392.714812663572-5.7290279484579524.28518733642830.73029747567982
134391400.3771849823523.4391873941442-9.377184982352220.72242702241896
135419397.703336343659-0.74393620844681421.2966636563415-0.329674040512217
136461463.86396108649445.0355881816911-2.863961086494433.60916421647851
137472506.97375433701843.7174067784311-34.9737543370182-0.103936003602995
138535544.91609156313739.7633943888375-9.91609156313685-0.311694512031414
139622578.0950785112435.256002860041543.9049214887597-0.355205283669116
140606560.043255319871-1.2195623265729545.9567446801294-2.87421682829079
141508524.076188294391-24.987046154215-16.0761882943915-1.87319018374507
142461490.500756533696-30.8615124947147-29.5007565336962-0.4631065321272
143390441.011230966095-43.6064594783813-51.0112309660946-1.00484347003423
144432417.850761361096-29.614351497287814.14923863890441.10301852210923







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
1464.568485329949481.77376963803-17.2052843080805
2432.933529533179484.480088265429-51.5465587322508
3457.178081801926487.186406892829-30.0083250909025
4484.804115519862489.892725520228-5.08861000036673
5482.891188089342492.599044147628-9.70785605828596
6535.568514148356495.30536277502740.2631513733285
7618.298928131953498.011681402427120.287246729526
8606.876894272689500.718000029826106.158894242862
9516.512068569625503.42431865722613.0877499123993
10478.373733253327506.130637284626-27.7569040312981
11417.420902885724508.836955912025-91.4160530263014
12464.475823528794511.543274539425-47.0674510106303

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 464.568485329949 & 481.77376963803 & -17.2052843080805 \tabularnewline
2 & 432.933529533179 & 484.480088265429 & -51.5465587322508 \tabularnewline
3 & 457.178081801926 & 487.186406892829 & -30.0083250909025 \tabularnewline
4 & 484.804115519862 & 489.892725520228 & -5.08861000036673 \tabularnewline
5 & 482.891188089342 & 492.599044147628 & -9.70785605828596 \tabularnewline
6 & 535.568514148356 & 495.305362775027 & 40.2631513733285 \tabularnewline
7 & 618.298928131953 & 498.011681402427 & 120.287246729526 \tabularnewline
8 & 606.876894272689 & 500.718000029826 & 106.158894242862 \tabularnewline
9 & 516.512068569625 & 503.424318657226 & 13.0877499123993 \tabularnewline
10 & 478.373733253327 & 506.130637284626 & -27.7569040312981 \tabularnewline
11 & 417.420902885724 & 508.836955912025 & -91.4160530263014 \tabularnewline
12 & 464.475823528794 & 511.543274539425 & -47.0674510106303 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313718&T=2

[TABLE]
[ROW][C]Structural Time Series Model -- Extrapolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Seasonal[/C][/ROW]
[ROW][C]1[/C][C]464.568485329949[/C][C]481.77376963803[/C][C]-17.2052843080805[/C][/ROW]
[ROW][C]2[/C][C]432.933529533179[/C][C]484.480088265429[/C][C]-51.5465587322508[/C][/ROW]
[ROW][C]3[/C][C]457.178081801926[/C][C]487.186406892829[/C][C]-30.0083250909025[/C][/ROW]
[ROW][C]4[/C][C]484.804115519862[/C][C]489.892725520228[/C][C]-5.08861000036673[/C][/ROW]
[ROW][C]5[/C][C]482.891188089342[/C][C]492.599044147628[/C][C]-9.70785605828596[/C][/ROW]
[ROW][C]6[/C][C]535.568514148356[/C][C]495.305362775027[/C][C]40.2631513733285[/C][/ROW]
[ROW][C]7[/C][C]618.298928131953[/C][C]498.011681402427[/C][C]120.287246729526[/C][/ROW]
[ROW][C]8[/C][C]606.876894272689[/C][C]500.718000029826[/C][C]106.158894242862[/C][/ROW]
[ROW][C]9[/C][C]516.512068569625[/C][C]503.424318657226[/C][C]13.0877499123993[/C][/ROW]
[ROW][C]10[/C][C]478.373733253327[/C][C]506.130637284626[/C][C]-27.7569040312981[/C][/ROW]
[ROW][C]11[/C][C]417.420902885724[/C][C]508.836955912025[/C][C]-91.4160530263014[/C][/ROW]
[ROW][C]12[/C][C]464.475823528794[/C][C]511.543274539425[/C][C]-47.0674510106303[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313718&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313718&T=2

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 -- Extrapolation
tObservedLevelSeasonal
1464.568485329949481.77376963803-17.2052843080805
2432.933529533179484.480088265429-51.5465587322508
3457.178081801926487.186406892829-30.0083250909025
4484.804115519862489.892725520228-5.08861000036673
5482.891188089342492.599044147628-9.70785605828596
6535.568514148356495.30536277502740.2631513733285
7618.298928131953498.011681402427120.287246729526
8606.876894272689500.718000029826106.158894242862
9516.512068569625503.42431865722613.0877499123993
10478.373733253327506.130637284626-27.7569040312981
11417.420902885724508.836955912025-91.4160530263014
12464.475823528794511.543274539425-47.0674510106303



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
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()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',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')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,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,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')