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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 computationWed, 14 Dec 2011 14:03:36 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t13238894284yxqcthe581l0tk.htm/, Retrieved Wed, 01 May 2024 14:16:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155193, Retrieved Wed, 01 May 2024 14:16:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2011-12-14 19:03:36] [9fcdc23b96f67ca1860b0ed8ec932927] [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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155193&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155193&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155193&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1112112000
2118116.6626608279164.773184732145361.337339172083560.424228080065078
3132130.36539454024911.08629383409391.634605459751450.529048171962372
4129132.2554035424794.19626405539336-3.25540354247917-0.555722284735252
5121123.494625852888-5.302316486597-2.49462585288816-0.743105120644572
6135130.6817953421093.821359452120354.318204657890880.720130208797928
7148145.95414661085212.2106083558242.045853389147590.661413907994762
8148150.7954621229896.80932763546608-2.79546212298933-0.425692684219446
9136139.990519875019-6.09921746226408-3.99051987501923-1.0174338259679
10119120.957802153587-15.5758534122408-1.95780215358673-0.746920872935759
11104103.451987853723-16.9899077609630.548012146276897-0.111451527449667
12118111.3207256128041.224060860588876.679274387195581.43557125622478
13115116.0844086705193.81134595816173-1.084408670518710.204507666739328
14126126.6032928647378.73193668269216-0.6032928647368590.393842477554375
15141136.8854293938889.826602649752514.114570606111650.0859104665178879
16135136.6235103372912.7026419419662-1.62351033729141-0.570082897468207
17125132.265781787584-2.30644459232102-7.26578178758361-0.394341929883733
18149144.7753178486848.12593013644564.224682151315520.820765574610392
19170165.12343518877416.73441074543184.876564811226160.678999384292516
20170172.0740604751939.83368012585274-2.07406047519338-0.543950630242743
21158162.374910057774-3.94679629793627-4.37491005777407-1.08607978921474
22133137.890542799865-18.4354269737287-4.890542799865-1.14202126398744
23114118.554401682262-19.0706502658849-4.55440168226249-0.050066709924442
24140126.410420919506-0.099165773437775813.58957908049421.49570948390091
25145144.55671446925712.75657259686010.4432855307429631.01622747683117
26150153.0598765705729.75587649095291-3.05987657057193-0.236842151943068
27178168.0545810891113.41224615703129.94541891089040.287576590955838
28163166.179348589112.76495711920435-3.17934858911-0.843937003304184
29172180.7019068307310.9918313778637-8.701906830729510.649400465818625
30178182.6632704556624.69351439923226-4.66327045566178-0.495508871167014
31199191.5727817641567.629133902010597.427218235843710.231380104418001
32199196.3071870883715.611372620915342.69281291162853-0.159076919041117
33184184.83437030112-6.30429133357327-0.834370301120275-0.939119926672111
34162167.362943232861-14.0929331202267-5.3629432328611-0.613904717830503
35146156.883809122958-11.5736794686823-10.88380912295760.198561376281031
36166155.255957044135-4.6447538994554910.74404295586480.546454173466747
37171165.8133902541765.953571722480715.186609745823920.836837152975884
38180181.91967148823713.0291193236673-1.919671488237090.557592797936853
39193182.2668199514634.2362938056492810.7331800485368-0.692294863734682
40181187.0904724712554.64303187379611-6.090472471254980.0321419703136916
41183190.4104732284883.72421741474961-7.41047322848768-0.0725304626194105
42218218.89963509888820.9062896084532-0.8996350988875811.35283025906158
43230227.04113601398812.0647609649382.95886398601216-0.696554780281793
44242234.3416122398288.763581871815947.65838776017204-0.260227647648023
45209213.332056187921-11.8793705741387-4.33205618792101-1.62704141284709
46191196.521087096908-15.2988638590686-5.52108709690831-0.269515334880418
47172184.659552760135-12.9163871208184-12.65955276013480.187794433050954
48194184.923152180731-3.782829155811019.076847819269310.72034236539724
49196191.2187418340883.205632828547574.781258165911780.551346850186363
50196193.5793662780972.620115248856852.42063372190328-0.0461304384197937
51236218.30713297103317.892639122445517.6928670289671.20301532999277
52235241.22949511409721.3648401161219-6.229495114097430.27407012042129
53229249.14232933517812.0615492149358-20.1423293351781-0.734159674978176
54243245.7060591320611.34448613471282-2.70605913206141-0.844275837264741
55264257.0652617357438.261260653688036.934738264256520.544865211413225
56272257.423243744842.8034229396953814.5767562551599-0.430158969507373
57237242.918319305846-9.15456155333017-5.91831930584605-0.942527672228797
58211219.717620733652-18.8597764320249-8.71762073365223-0.764957962872829
59180196.554400975934-21.8326826502407-16.5544009759339-0.234354661144269
60201189.552399902156-11.586514774594111.4476000978440.808018182954169
61204194.8947762576190.1139707685900619.105223742380760.922657387795957
62188193.968010564091-0.604799769524957-5.96801056409073-0.0566276515881021
63235213.76982398875913.461017468465421.23017601124121.1082094535302
64227229.31824517222714.8991853257104-2.318245172226890.113458526444923
65234249.22776593918118.3554249399986-15.22776593918070.272673301004282
66264270.88271042510120.631976172727-6.882710425101140.179400027544368
67302293.37361226802521.91345463070278.626387731974890.100953059647811
68293281.873203067677-1.1123288155595811.1267969323228-1.81455031770095
69259262.838544169631-13.4650239808577-3.83854416963136-0.973630071911611
70229237.991720229496-21.3106164699838-8.99172022949582-0.618420448730163
71203221.812543561086-17.7735211264472-18.81254356108590.278850501703136
72229217.879015569311-8.2316570895742411.12098443068930.752400014323261
73242227.4849780459594.0691604054053114.51502195404080.969739555139664
74233242.25076063549111.4403322933331-9.250760635490650.580745778078939
75267248.0626398493327.5670764003122718.9373601506681-0.30520038121961
76269270.03104273676217.4745677291815-1.031042736762230.78139772175977
77270289.24435885255718.6718154324315-19.24435885255670.0944370617605532
78315320.69100757766827.470874916212-5.691007577667540.693514253362219
79364346.45823186710826.298147617439117.5417681328923-0.0923937528269688
80347338.3995531883882.659738003568818.60044681161208-1.86269975713731
81312316.24124639317-14.415251888555-4.24124639317021-1.34581032654534
82274286.80883793876-24.7480944710979-12.8088379387598-0.81452209994208
83237259.835952941152-26.2790742204581-22.8359529411515-0.120702723208376
84278264.010296365022-5.3172968123953413.9897036349781.65275197413136
85284269.6683718944072.2380942248752514.33162810559310.595542823209053
86277281.2219026071368.64661795642061-4.221902607135750.504919150900876
87317299.73371667805615.426294366558217.26628332194360.534254328243663
88313316.16495233019116.1167835042078-3.164952330191420.054449922606075
89318341.78780714969422.6527975472972-23.78780714969390.515484782326645
90374378.08121917097332.0346751226746-4.081219170973090.739517396003632
91413390.98170945526518.880143602783622.0182905447354-1.03646643981876
92405391.7169602957336.4123124803889413.2830397042671-0.982429979657646
93355361.647517361988-18.6508164289051-6.64751736198769-1.9753764080666
94306321.631710761645-33.3296004809057-15.631710761645-1.15715372687448
95271299.208980541148-25.834602592937-28.20898054114760.590926046828104
96306290.647640087987-13.961499594471215.35235991201330.936088869596512
97315297.7002652057930.48326738846663717.29973479420711.13849103083189
98301305.7669962416775.69289596665364-4.766996241676920.410472450646984
99356333.32214275983720.699353918534222.67785724016291.18259468863633
100348356.38350112253222.3204228710556-8.383501122532410.127820306171329
101355384.08800935695826.0176014489312-29.0880093569580.291563758013422
102422420.36272614296533.06331494260071.63727385703550.555397475861735
103465441.58241287277224.93046845142123.4175871272276-0.64083991788088
104467445.92330443727310.799392615468321.0766955627274-1.11347790992398
105404413.091335023532-19.1376680878929-9.09133502353194-2.35948278733411
106347369.497689668967-35.9184617211431-22.4976896689665-1.32289016152994
107305336.359425128256-34.0103336465329-31.35942512825640.150444295436164
108336321.234328010385-21.045329564291114.76567198961461.02212992284577
109340319.887574824529-7.5223798252173620.11242517547131.0657852510446
110318325.7850992377371.68521517885269-7.785099237736770.725496513712297
111362337.592540257868.6255539676614524.40745974214020.546953653776878
112348357.24023278448916.1821125098097-9.240232784489290.595791716641232
113363393.31081145827129.8234819900294-30.3108114582711.07570036772012
114435431.33850866139935.45243427523773.661491338600630.443727055621411
115491463.21577384206233.000112772778927.7842261579382-0.193243460619358
116505474.71642039657118.260507543580130.2835796034294-1.16143089472579
117404421.551172758561-30.6918025935199-17.5511727585607-3.85812344015005
118359381.045710682761-37.4178157101189-22.0457106827608-0.530240878837383
119310346.097528477625-35.724751733376-36.09752847762540.133488094238204
120337323.990934397518-26.386318669792613.00906560248190.736195550056075
121360333.613484673439-1.6953685897723426.38651532656061.94591942498617
122342348.3404606913769.55953751743647-6.340460691376140.886832352224761
123406379.53557387396524.378830630998926.46442612603511.16789989589757
124396411.73508229553529.7351664406265-15.73508229553520.422297284444587
125420453.44029192844337.9365984731884-33.44029192844270.646695250028174
126472475.78185387802327.2483815234519-3.78185387802268-0.842552139799802
127548510.95589762276632.679217767015437.04410237723360.427966067503413
128559513.66329244270512.151851076398545.3367075572945-1.61750240641382
129463484.876511571505-15.8768941339203-21.8765115715048-2.20904077312388
130407434.840685476321-39.2640002636063-27.840685476321-1.84370688682264
131362399.140217891199-36.8235520057992-37.14021789119870.192413579730289
132405394.18174171966-14.995578950816110.81825828034011.72076562082904
133417392.714811910559-5.729027094273524.28518808944150.730297448608248
134391400.3771844803513.43918811602129-9.377184480351310.722426991459019
135419397.703335515836-0.74393633148461721.2966644841645-0.329674097732742
136461463.86396194914445.0355907013831-2.86396194914373.60916432230739
137472506.97375475732743.7174072302282-34.9737547573275-0.10393616369759
138535544.91609264137239.7633948605285-9.91609264137195-0.311694501591667
139622578.09508122643135.256003991371443.9049187735687-0.355205221579896
140606560.043257323749-1.2195635734343545.9567426762509-2.87421693401565
141508524.076188761231-24.9870483288102-16.0761887612305-1.87319020365088
142461490.500755209164-30.8615145876391-29.5007552091642-0.463106512522924
143390441.011228219402-43.606461503922-51.0112282194017-1.00484343614055
144432417.850759735825-29.61435093941714.14924026417551.10301869439863

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 112 & 112 & 0 & 0 & 0 \tabularnewline
2 & 118 & 116.662660827916 & 4.77318473214536 & 1.33733917208356 & 0.424228080065078 \tabularnewline
3 & 132 & 130.365394540249 & 11.0862938340939 & 1.63460545975145 & 0.529048171962372 \tabularnewline
4 & 129 & 132.255403542479 & 4.19626405539336 & -3.25540354247917 & -0.555722284735252 \tabularnewline
5 & 121 & 123.494625852888 & -5.302316486597 & -2.49462585288816 & -0.743105120644572 \tabularnewline
6 & 135 & 130.681795342109 & 3.82135945212035 & 4.31820465789088 & 0.720130208797928 \tabularnewline
7 & 148 & 145.954146610852 & 12.210608355824 & 2.04585338914759 & 0.661413907994762 \tabularnewline
8 & 148 & 150.795462122989 & 6.80932763546608 & -2.79546212298933 & -0.425692684219446 \tabularnewline
9 & 136 & 139.990519875019 & -6.09921746226408 & -3.99051987501923 & -1.0174338259679 \tabularnewline
10 & 119 & 120.957802153587 & -15.5758534122408 & -1.95780215358673 & -0.746920872935759 \tabularnewline
11 & 104 & 103.451987853723 & -16.989907760963 & 0.548012146276897 & -0.111451527449667 \tabularnewline
12 & 118 & 111.320725612804 & 1.22406086058887 & 6.67927438719558 & 1.43557125622478 \tabularnewline
13 & 115 & 116.084408670519 & 3.81134595816173 & -1.08440867051871 & 0.204507666739328 \tabularnewline
14 & 126 & 126.603292864737 & 8.73193668269216 & -0.603292864736859 & 0.393842477554375 \tabularnewline
15 & 141 & 136.885429393888 & 9.82660264975251 & 4.11457060611165 & 0.0859104665178879 \tabularnewline
16 & 135 & 136.623510337291 & 2.7026419419662 & -1.62351033729141 & -0.570082897468207 \tabularnewline
17 & 125 & 132.265781787584 & -2.30644459232102 & -7.26578178758361 & -0.394341929883733 \tabularnewline
18 & 149 & 144.775317848684 & 8.1259301364456 & 4.22468215131552 & 0.820765574610392 \tabularnewline
19 & 170 & 165.123435188774 & 16.7344107454318 & 4.87656481122616 & 0.678999384292516 \tabularnewline
20 & 170 & 172.074060475193 & 9.83368012585274 & -2.07406047519338 & -0.543950630242743 \tabularnewline
21 & 158 & 162.374910057774 & -3.94679629793627 & -4.37491005777407 & -1.08607978921474 \tabularnewline
22 & 133 & 137.890542799865 & -18.4354269737287 & -4.890542799865 & -1.14202126398744 \tabularnewline
23 & 114 & 118.554401682262 & -19.0706502658849 & -4.55440168226249 & -0.050066709924442 \tabularnewline
24 & 140 & 126.410420919506 & -0.0991657734377758 & 13.5895790804942 & 1.49570948390091 \tabularnewline
25 & 145 & 144.556714469257 & 12.7565725968601 & 0.443285530742963 & 1.01622747683117 \tabularnewline
26 & 150 & 153.059876570572 & 9.75587649095291 & -3.05987657057193 & -0.236842151943068 \tabularnewline
27 & 178 & 168.05458108911 & 13.4122461570312 & 9.9454189108904 & 0.287576590955838 \tabularnewline
28 & 163 & 166.17934858911 & 2.76495711920435 & -3.17934858911 & -0.843937003304184 \tabularnewline
29 & 172 & 180.70190683073 & 10.9918313778637 & -8.70190683072951 & 0.649400465818625 \tabularnewline
30 & 178 & 182.663270455662 & 4.69351439923226 & -4.66327045566178 & -0.495508871167014 \tabularnewline
31 & 199 & 191.572781764156 & 7.62913390201059 & 7.42721823584371 & 0.231380104418001 \tabularnewline
32 & 199 & 196.307187088371 & 5.61137262091534 & 2.69281291162853 & -0.159076919041117 \tabularnewline
33 & 184 & 184.83437030112 & -6.30429133357327 & -0.834370301120275 & -0.939119926672111 \tabularnewline
34 & 162 & 167.362943232861 & -14.0929331202267 & -5.3629432328611 & -0.613904717830503 \tabularnewline
35 & 146 & 156.883809122958 & -11.5736794686823 & -10.8838091229576 & 0.198561376281031 \tabularnewline
36 & 166 & 155.255957044135 & -4.64475389945549 & 10.7440429558648 & 0.546454173466747 \tabularnewline
37 & 171 & 165.813390254176 & 5.95357172248071 & 5.18660974582392 & 0.836837152975884 \tabularnewline
38 & 180 & 181.919671488237 & 13.0291193236673 & -1.91967148823709 & 0.557592797936853 \tabularnewline
39 & 193 & 182.266819951463 & 4.23629380564928 & 10.7331800485368 & -0.692294863734682 \tabularnewline
40 & 181 & 187.090472471255 & 4.64303187379611 & -6.09047247125498 & 0.0321419703136916 \tabularnewline
41 & 183 & 190.410473228488 & 3.72421741474961 & -7.41047322848768 & -0.0725304626194105 \tabularnewline
42 & 218 & 218.899635098888 & 20.9062896084532 & -0.899635098887581 & 1.35283025906158 \tabularnewline
43 & 230 & 227.041136013988 & 12.064760964938 & 2.95886398601216 & -0.696554780281793 \tabularnewline
44 & 242 & 234.341612239828 & 8.76358187181594 & 7.65838776017204 & -0.260227647648023 \tabularnewline
45 & 209 & 213.332056187921 & -11.8793705741387 & -4.33205618792101 & -1.62704141284709 \tabularnewline
46 & 191 & 196.521087096908 & -15.2988638590686 & -5.52108709690831 & -0.269515334880418 \tabularnewline
47 & 172 & 184.659552760135 & -12.9163871208184 & -12.6595527601348 & 0.187794433050954 \tabularnewline
48 & 194 & 184.923152180731 & -3.78282915581101 & 9.07684781926931 & 0.72034236539724 \tabularnewline
49 & 196 & 191.218741834088 & 3.20563282854757 & 4.78125816591178 & 0.551346850186363 \tabularnewline
50 & 196 & 193.579366278097 & 2.62011524885685 & 2.42063372190328 & -0.0461304384197937 \tabularnewline
51 & 236 & 218.307132971033 & 17.8926391224455 & 17.692867028967 & 1.20301532999277 \tabularnewline
52 & 235 & 241.229495114097 & 21.3648401161219 & -6.22949511409743 & 0.27407012042129 \tabularnewline
53 & 229 & 249.142329335178 & 12.0615492149358 & -20.1423293351781 & -0.734159674978176 \tabularnewline
54 & 243 & 245.706059132061 & 1.34448613471282 & -2.70605913206141 & -0.844275837264741 \tabularnewline
55 & 264 & 257.065261735743 & 8.26126065368803 & 6.93473826425652 & 0.544865211413225 \tabularnewline
56 & 272 & 257.42324374484 & 2.80342293969538 & 14.5767562551599 & -0.430158969507373 \tabularnewline
57 & 237 & 242.918319305846 & -9.15456155333017 & -5.91831930584605 & -0.942527672228797 \tabularnewline
58 & 211 & 219.717620733652 & -18.8597764320249 & -8.71762073365223 & -0.764957962872829 \tabularnewline
59 & 180 & 196.554400975934 & -21.8326826502407 & -16.5544009759339 & -0.234354661144269 \tabularnewline
60 & 201 & 189.552399902156 & -11.5865147745941 & 11.447600097844 & 0.808018182954169 \tabularnewline
61 & 204 & 194.894776257619 & 0.113970768590061 & 9.10522374238076 & 0.922657387795957 \tabularnewline
62 & 188 & 193.968010564091 & -0.604799769524957 & -5.96801056409073 & -0.0566276515881021 \tabularnewline
63 & 235 & 213.769823988759 & 13.4610174684654 & 21.2301760112412 & 1.1082094535302 \tabularnewline
64 & 227 & 229.318245172227 & 14.8991853257104 & -2.31824517222689 & 0.113458526444923 \tabularnewline
65 & 234 & 249.227765939181 & 18.3554249399986 & -15.2277659391807 & 0.272673301004282 \tabularnewline
66 & 264 & 270.882710425101 & 20.631976172727 & -6.88271042510114 & 0.179400027544368 \tabularnewline
67 & 302 & 293.373612268025 & 21.9134546307027 & 8.62638773197489 & 0.100953059647811 \tabularnewline
68 & 293 & 281.873203067677 & -1.11232881555958 & 11.1267969323228 & -1.81455031770095 \tabularnewline
69 & 259 & 262.838544169631 & -13.4650239808577 & -3.83854416963136 & -0.973630071911611 \tabularnewline
70 & 229 & 237.991720229496 & -21.3106164699838 & -8.99172022949582 & -0.618420448730163 \tabularnewline
71 & 203 & 221.812543561086 & -17.7735211264472 & -18.8125435610859 & 0.278850501703136 \tabularnewline
72 & 229 & 217.879015569311 & -8.23165708957424 & 11.1209844306893 & 0.752400014323261 \tabularnewline
73 & 242 & 227.484978045959 & 4.06916040540531 & 14.5150219540408 & 0.969739555139664 \tabularnewline
74 & 233 & 242.250760635491 & 11.4403322933331 & -9.25076063549065 & 0.580745778078939 \tabularnewline
75 & 267 & 248.062639849332 & 7.56707640031227 & 18.9373601506681 & -0.30520038121961 \tabularnewline
76 & 269 & 270.031042736762 & 17.4745677291815 & -1.03104273676223 & 0.78139772175977 \tabularnewline
77 & 270 & 289.244358852557 & 18.6718154324315 & -19.2443588525567 & 0.0944370617605532 \tabularnewline
78 & 315 & 320.691007577668 & 27.470874916212 & -5.69100757766754 & 0.693514253362219 \tabularnewline
79 & 364 & 346.458231867108 & 26.2981476174391 & 17.5417681328923 & -0.0923937528269688 \tabularnewline
80 & 347 & 338.399553188388 & 2.65973800356881 & 8.60044681161208 & -1.86269975713731 \tabularnewline
81 & 312 & 316.24124639317 & -14.415251888555 & -4.24124639317021 & -1.34581032654534 \tabularnewline
82 & 274 & 286.80883793876 & -24.7480944710979 & -12.8088379387598 & -0.81452209994208 \tabularnewline
83 & 237 & 259.835952941152 & -26.2790742204581 & -22.8359529411515 & -0.120702723208376 \tabularnewline
84 & 278 & 264.010296365022 & -5.31729681239534 & 13.989703634978 & 1.65275197413136 \tabularnewline
85 & 284 & 269.668371894407 & 2.23809422487525 & 14.3316281055931 & 0.595542823209053 \tabularnewline
86 & 277 & 281.221902607136 & 8.64661795642061 & -4.22190260713575 & 0.504919150900876 \tabularnewline
87 & 317 & 299.733716678056 & 15.4262943665582 & 17.2662833219436 & 0.534254328243663 \tabularnewline
88 & 313 & 316.164952330191 & 16.1167835042078 & -3.16495233019142 & 0.054449922606075 \tabularnewline
89 & 318 & 341.787807149694 & 22.6527975472972 & -23.7878071496939 & 0.515484782326645 \tabularnewline
90 & 374 & 378.081219170973 & 32.0346751226746 & -4.08121917097309 & 0.739517396003632 \tabularnewline
91 & 413 & 390.981709455265 & 18.8801436027836 & 22.0182905447354 & -1.03646643981876 \tabularnewline
92 & 405 & 391.716960295733 & 6.41231248038894 & 13.2830397042671 & -0.982429979657646 \tabularnewline
93 & 355 & 361.647517361988 & -18.6508164289051 & -6.64751736198769 & -1.9753764080666 \tabularnewline
94 & 306 & 321.631710761645 & -33.3296004809057 & -15.631710761645 & -1.15715372687448 \tabularnewline
95 & 271 & 299.208980541148 & -25.834602592937 & -28.2089805411476 & 0.590926046828104 \tabularnewline
96 & 306 & 290.647640087987 & -13.9614995944712 & 15.3523599120133 & 0.936088869596512 \tabularnewline
97 & 315 & 297.700265205793 & 0.483267388466637 & 17.2997347942071 & 1.13849103083189 \tabularnewline
98 & 301 & 305.766996241677 & 5.69289596665364 & -4.76699624167692 & 0.410472450646984 \tabularnewline
99 & 356 & 333.322142759837 & 20.6993539185342 & 22.6778572401629 & 1.18259468863633 \tabularnewline
100 & 348 & 356.383501122532 & 22.3204228710556 & -8.38350112253241 & 0.127820306171329 \tabularnewline
101 & 355 & 384.088009356958 & 26.0176014489312 & -29.088009356958 & 0.291563758013422 \tabularnewline
102 & 422 & 420.362726142965 & 33.0633149426007 & 1.6372738570355 & 0.555397475861735 \tabularnewline
103 & 465 & 441.582412872772 & 24.930468451421 & 23.4175871272276 & -0.64083991788088 \tabularnewline
104 & 467 & 445.923304437273 & 10.7993926154683 & 21.0766955627274 & -1.11347790992398 \tabularnewline
105 & 404 & 413.091335023532 & -19.1376680878929 & -9.09133502353194 & -2.35948278733411 \tabularnewline
106 & 347 & 369.497689668967 & -35.9184617211431 & -22.4976896689665 & -1.32289016152994 \tabularnewline
107 & 305 & 336.359425128256 & -34.0103336465329 & -31.3594251282564 & 0.150444295436164 \tabularnewline
108 & 336 & 321.234328010385 & -21.0453295642911 & 14.7656719896146 & 1.02212992284577 \tabularnewline
109 & 340 & 319.887574824529 & -7.52237982521736 & 20.1124251754713 & 1.0657852510446 \tabularnewline
110 & 318 & 325.785099237737 & 1.68521517885269 & -7.78509923773677 & 0.725496513712297 \tabularnewline
111 & 362 & 337.59254025786 & 8.62555396766145 & 24.4074597421402 & 0.546953653776878 \tabularnewline
112 & 348 & 357.240232784489 & 16.1821125098097 & -9.24023278448929 & 0.595791716641232 \tabularnewline
113 & 363 & 393.310811458271 & 29.8234819900294 & -30.310811458271 & 1.07570036772012 \tabularnewline
114 & 435 & 431.338508661399 & 35.4524342752377 & 3.66149133860063 & 0.443727055621411 \tabularnewline
115 & 491 & 463.215773842062 & 33.0001127727789 & 27.7842261579382 & -0.193243460619358 \tabularnewline
116 & 505 & 474.716420396571 & 18.2605075435801 & 30.2835796034294 & -1.16143089472579 \tabularnewline
117 & 404 & 421.551172758561 & -30.6918025935199 & -17.5511727585607 & -3.85812344015005 \tabularnewline
118 & 359 & 381.045710682761 & -37.4178157101189 & -22.0457106827608 & -0.530240878837383 \tabularnewline
119 & 310 & 346.097528477625 & -35.724751733376 & -36.0975284776254 & 0.133488094238204 \tabularnewline
120 & 337 & 323.990934397518 & -26.3863186697926 & 13.0090656024819 & 0.736195550056075 \tabularnewline
121 & 360 & 333.613484673439 & -1.69536858977234 & 26.3865153265606 & 1.94591942498617 \tabularnewline
122 & 342 & 348.340460691376 & 9.55953751743647 & -6.34046069137614 & 0.886832352224761 \tabularnewline
123 & 406 & 379.535573873965 & 24.3788306309989 & 26.4644261260351 & 1.16789989589757 \tabularnewline
124 & 396 & 411.735082295535 & 29.7351664406265 & -15.7350822955352 & 0.422297284444587 \tabularnewline
125 & 420 & 453.440291928443 & 37.9365984731884 & -33.4402919284427 & 0.646695250028174 \tabularnewline
126 & 472 & 475.781853878023 & 27.2483815234519 & -3.78185387802268 & -0.842552139799802 \tabularnewline
127 & 548 & 510.955897622766 & 32.6792177670154 & 37.0441023772336 & 0.427966067503413 \tabularnewline
128 & 559 & 513.663292442705 & 12.1518510763985 & 45.3367075572945 & -1.61750240641382 \tabularnewline
129 & 463 & 484.876511571505 & -15.8768941339203 & -21.8765115715048 & -2.20904077312388 \tabularnewline
130 & 407 & 434.840685476321 & -39.2640002636063 & -27.840685476321 & -1.84370688682264 \tabularnewline
131 & 362 & 399.140217891199 & -36.8235520057992 & -37.1402178911987 & 0.192413579730289 \tabularnewline
132 & 405 & 394.18174171966 & -14.9955789508161 & 10.8182582803401 & 1.72076562082904 \tabularnewline
133 & 417 & 392.714811910559 & -5.7290270942735 & 24.2851880894415 & 0.730297448608248 \tabularnewline
134 & 391 & 400.377184480351 & 3.43918811602129 & -9.37718448035131 & 0.722426991459019 \tabularnewline
135 & 419 & 397.703335515836 & -0.743936331484617 & 21.2966644841645 & -0.329674097732742 \tabularnewline
136 & 461 & 463.863961949144 & 45.0355907013831 & -2.8639619491437 & 3.60916432230739 \tabularnewline
137 & 472 & 506.973754757327 & 43.7174072302282 & -34.9737547573275 & -0.10393616369759 \tabularnewline
138 & 535 & 544.916092641372 & 39.7633948605285 & -9.91609264137195 & -0.311694501591667 \tabularnewline
139 & 622 & 578.095081226431 & 35.2560039913714 & 43.9049187735687 & -0.355205221579896 \tabularnewline
140 & 606 & 560.043257323749 & -1.21956357343435 & 45.9567426762509 & -2.87421693401565 \tabularnewline
141 & 508 & 524.076188761231 & -24.9870483288102 & -16.0761887612305 & -1.87319020365088 \tabularnewline
142 & 461 & 490.500755209164 & -30.8615145876391 & -29.5007552091642 & -0.463106512522924 \tabularnewline
143 & 390 & 441.011228219402 & -43.606461503922 & -51.0112282194017 & -1.00484343614055 \tabularnewline
144 & 432 & 417.850759735825 & -29.614350939417 & 14.1492402641755 & 1.10301869439863 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155193&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]112[/C][C]112[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]118[/C][C]116.662660827916[/C][C]4.77318473214536[/C][C]1.33733917208356[/C][C]0.424228080065078[/C][/ROW]
[ROW][C]3[/C][C]132[/C][C]130.365394540249[/C][C]11.0862938340939[/C][C]1.63460545975145[/C][C]0.529048171962372[/C][/ROW]
[ROW][C]4[/C][C]129[/C][C]132.255403542479[/C][C]4.19626405539336[/C][C]-3.25540354247917[/C][C]-0.555722284735252[/C][/ROW]
[ROW][C]5[/C][C]121[/C][C]123.494625852888[/C][C]-5.302316486597[/C][C]-2.49462585288816[/C][C]-0.743105120644572[/C][/ROW]
[ROW][C]6[/C][C]135[/C][C]130.681795342109[/C][C]3.82135945212035[/C][C]4.31820465789088[/C][C]0.720130208797928[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]145.954146610852[/C][C]12.210608355824[/C][C]2.04585338914759[/C][C]0.661413907994762[/C][/ROW]
[ROW][C]8[/C][C]148[/C][C]150.795462122989[/C][C]6.80932763546608[/C][C]-2.79546212298933[/C][C]-0.425692684219446[/C][/ROW]
[ROW][C]9[/C][C]136[/C][C]139.990519875019[/C][C]-6.09921746226408[/C][C]-3.99051987501923[/C][C]-1.0174338259679[/C][/ROW]
[ROW][C]10[/C][C]119[/C][C]120.957802153587[/C][C]-15.5758534122408[/C][C]-1.95780215358673[/C][C]-0.746920872935759[/C][/ROW]
[ROW][C]11[/C][C]104[/C][C]103.451987853723[/C][C]-16.989907760963[/C][C]0.548012146276897[/C][C]-0.111451527449667[/C][/ROW]
[ROW][C]12[/C][C]118[/C][C]111.320725612804[/C][C]1.22406086058887[/C][C]6.67927438719558[/C][C]1.43557125622478[/C][/ROW]
[ROW][C]13[/C][C]115[/C][C]116.084408670519[/C][C]3.81134595816173[/C][C]-1.08440867051871[/C][C]0.204507666739328[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]126.603292864737[/C][C]8.73193668269216[/C][C]-0.603292864736859[/C][C]0.393842477554375[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]136.885429393888[/C][C]9.82660264975251[/C][C]4.11457060611165[/C][C]0.0859104665178879[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]136.623510337291[/C][C]2.7026419419662[/C][C]-1.62351033729141[/C][C]-0.570082897468207[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]132.265781787584[/C][C]-2.30644459232102[/C][C]-7.26578178758361[/C][C]-0.394341929883733[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]144.775317848684[/C][C]8.1259301364456[/C][C]4.22468215131552[/C][C]0.820765574610392[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]165.123435188774[/C][C]16.7344107454318[/C][C]4.87656481122616[/C][C]0.678999384292516[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]172.074060475193[/C][C]9.83368012585274[/C][C]-2.07406047519338[/C][C]-0.543950630242743[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]162.374910057774[/C][C]-3.94679629793627[/C][C]-4.37491005777407[/C][C]-1.08607978921474[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]137.890542799865[/C][C]-18.4354269737287[/C][C]-4.890542799865[/C][C]-1.14202126398744[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]118.554401682262[/C][C]-19.0706502658849[/C][C]-4.55440168226249[/C][C]-0.050066709924442[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]126.410420919506[/C][C]-0.0991657734377758[/C][C]13.5895790804942[/C][C]1.49570948390091[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]144.556714469257[/C][C]12.7565725968601[/C][C]0.443285530742963[/C][C]1.01622747683117[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]153.059876570572[/C][C]9.75587649095291[/C][C]-3.05987657057193[/C][C]-0.236842151943068[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]168.05458108911[/C][C]13.4122461570312[/C][C]9.9454189108904[/C][C]0.287576590955838[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]166.17934858911[/C][C]2.76495711920435[/C][C]-3.17934858911[/C][C]-0.843937003304184[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]180.70190683073[/C][C]10.9918313778637[/C][C]-8.70190683072951[/C][C]0.649400465818625[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]182.663270455662[/C][C]4.69351439923226[/C][C]-4.66327045566178[/C][C]-0.495508871167014[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]191.572781764156[/C][C]7.62913390201059[/C][C]7.42721823584371[/C][C]0.231380104418001[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]196.307187088371[/C][C]5.61137262091534[/C][C]2.69281291162853[/C][C]-0.159076919041117[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]184.83437030112[/C][C]-6.30429133357327[/C][C]-0.834370301120275[/C][C]-0.939119926672111[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]167.362943232861[/C][C]-14.0929331202267[/C][C]-5.3629432328611[/C][C]-0.613904717830503[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]156.883809122958[/C][C]-11.5736794686823[/C][C]-10.8838091229576[/C][C]0.198561376281031[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]155.255957044135[/C][C]-4.64475389945549[/C][C]10.7440429558648[/C][C]0.546454173466747[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]165.813390254176[/C][C]5.95357172248071[/C][C]5.18660974582392[/C][C]0.836837152975884[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]181.919671488237[/C][C]13.0291193236673[/C][C]-1.91967148823709[/C][C]0.557592797936853[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]182.266819951463[/C][C]4.23629380564928[/C][C]10.7331800485368[/C][C]-0.692294863734682[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]187.090472471255[/C][C]4.64303187379611[/C][C]-6.09047247125498[/C][C]0.0321419703136916[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]190.410473228488[/C][C]3.72421741474961[/C][C]-7.41047322848768[/C][C]-0.0725304626194105[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]218.899635098888[/C][C]20.9062896084532[/C][C]-0.899635098887581[/C][C]1.35283025906158[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]227.041136013988[/C][C]12.064760964938[/C][C]2.95886398601216[/C][C]-0.696554780281793[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]234.341612239828[/C][C]8.76358187181594[/C][C]7.65838776017204[/C][C]-0.260227647648023[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]213.332056187921[/C][C]-11.8793705741387[/C][C]-4.33205618792101[/C][C]-1.62704141284709[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]196.521087096908[/C][C]-15.2988638590686[/C][C]-5.52108709690831[/C][C]-0.269515334880418[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]184.659552760135[/C][C]-12.9163871208184[/C][C]-12.6595527601348[/C][C]0.187794433050954[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]184.923152180731[/C][C]-3.78282915581101[/C][C]9.07684781926931[/C][C]0.72034236539724[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]191.218741834088[/C][C]3.20563282854757[/C][C]4.78125816591178[/C][C]0.551346850186363[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]193.579366278097[/C][C]2.62011524885685[/C][C]2.42063372190328[/C][C]-0.0461304384197937[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]218.307132971033[/C][C]17.8926391224455[/C][C]17.692867028967[/C][C]1.20301532999277[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]241.229495114097[/C][C]21.3648401161219[/C][C]-6.22949511409743[/C][C]0.27407012042129[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]249.142329335178[/C][C]12.0615492149358[/C][C]-20.1423293351781[/C][C]-0.734159674978176[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]245.706059132061[/C][C]1.34448613471282[/C][C]-2.70605913206141[/C][C]-0.844275837264741[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]257.065261735743[/C][C]8.26126065368803[/C][C]6.93473826425652[/C][C]0.544865211413225[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]257.42324374484[/C][C]2.80342293969538[/C][C]14.5767562551599[/C][C]-0.430158969507373[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]242.918319305846[/C][C]-9.15456155333017[/C][C]-5.91831930584605[/C][C]-0.942527672228797[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.717620733652[/C][C]-18.8597764320249[/C][C]-8.71762073365223[/C][C]-0.764957962872829[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]196.554400975934[/C][C]-21.8326826502407[/C][C]-16.5544009759339[/C][C]-0.234354661144269[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]189.552399902156[/C][C]-11.5865147745941[/C][C]11.447600097844[/C][C]0.808018182954169[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]194.894776257619[/C][C]0.113970768590061[/C][C]9.10522374238076[/C][C]0.922657387795957[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]193.968010564091[/C][C]-0.604799769524957[/C][C]-5.96801056409073[/C][C]-0.0566276515881021[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]213.769823988759[/C][C]13.4610174684654[/C][C]21.2301760112412[/C][C]1.1082094535302[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]229.318245172227[/C][C]14.8991853257104[/C][C]-2.31824517222689[/C][C]0.113458526444923[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]249.227765939181[/C][C]18.3554249399986[/C][C]-15.2277659391807[/C][C]0.272673301004282[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]270.882710425101[/C][C]20.631976172727[/C][C]-6.88271042510114[/C][C]0.179400027544368[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]293.373612268025[/C][C]21.9134546307027[/C][C]8.62638773197489[/C][C]0.100953059647811[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]281.873203067677[/C][C]-1.11232881555958[/C][C]11.1267969323228[/C][C]-1.81455031770095[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]262.838544169631[/C][C]-13.4650239808577[/C][C]-3.83854416963136[/C][C]-0.973630071911611[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]237.991720229496[/C][C]-21.3106164699838[/C][C]-8.99172022949582[/C][C]-0.618420448730163[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]221.812543561086[/C][C]-17.7735211264472[/C][C]-18.8125435610859[/C][C]0.278850501703136[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]217.879015569311[/C][C]-8.23165708957424[/C][C]11.1209844306893[/C][C]0.752400014323261[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]227.484978045959[/C][C]4.06916040540531[/C][C]14.5150219540408[/C][C]0.969739555139664[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]242.250760635491[/C][C]11.4403322933331[/C][C]-9.25076063549065[/C][C]0.580745778078939[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]248.062639849332[/C][C]7.56707640031227[/C][C]18.9373601506681[/C][C]-0.30520038121961[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]270.031042736762[/C][C]17.4745677291815[/C][C]-1.03104273676223[/C][C]0.78139772175977[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]289.244358852557[/C][C]18.6718154324315[/C][C]-19.2443588525567[/C][C]0.0944370617605532[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]320.691007577668[/C][C]27.470874916212[/C][C]-5.69100757766754[/C][C]0.693514253362219[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]346.458231867108[/C][C]26.2981476174391[/C][C]17.5417681328923[/C][C]-0.0923937528269688[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]338.399553188388[/C][C]2.65973800356881[/C][C]8.60044681161208[/C][C]-1.86269975713731[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]316.24124639317[/C][C]-14.415251888555[/C][C]-4.24124639317021[/C][C]-1.34581032654534[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]286.80883793876[/C][C]-24.7480944710979[/C][C]-12.8088379387598[/C][C]-0.81452209994208[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]259.835952941152[/C][C]-26.2790742204581[/C][C]-22.8359529411515[/C][C]-0.120702723208376[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]264.010296365022[/C][C]-5.31729681239534[/C][C]13.989703634978[/C][C]1.65275197413136[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]269.668371894407[/C][C]2.23809422487525[/C][C]14.3316281055931[/C][C]0.595542823209053[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]281.221902607136[/C][C]8.64661795642061[/C][C]-4.22190260713575[/C][C]0.504919150900876[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]299.733716678056[/C][C]15.4262943665582[/C][C]17.2662833219436[/C][C]0.534254328243663[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.164952330191[/C][C]16.1167835042078[/C][C]-3.16495233019142[/C][C]0.054449922606075[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]341.787807149694[/C][C]22.6527975472972[/C][C]-23.7878071496939[/C][C]0.515484782326645[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]378.081219170973[/C][C]32.0346751226746[/C][C]-4.08121917097309[/C][C]0.739517396003632[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]390.981709455265[/C][C]18.8801436027836[/C][C]22.0182905447354[/C][C]-1.03646643981876[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]391.716960295733[/C][C]6.41231248038894[/C][C]13.2830397042671[/C][C]-0.982429979657646[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]361.647517361988[/C][C]-18.6508164289051[/C][C]-6.64751736198769[/C][C]-1.9753764080666[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]321.631710761645[/C][C]-33.3296004809057[/C][C]-15.631710761645[/C][C]-1.15715372687448[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]299.208980541148[/C][C]-25.834602592937[/C][C]-28.2089805411476[/C][C]0.590926046828104[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]290.647640087987[/C][C]-13.9614995944712[/C][C]15.3523599120133[/C][C]0.936088869596512[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]297.700265205793[/C][C]0.483267388466637[/C][C]17.2997347942071[/C][C]1.13849103083189[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]305.766996241677[/C][C]5.69289596665364[/C][C]-4.76699624167692[/C][C]0.410472450646984[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]333.322142759837[/C][C]20.6993539185342[/C][C]22.6778572401629[/C][C]1.18259468863633[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]356.383501122532[/C][C]22.3204228710556[/C][C]-8.38350112253241[/C][C]0.127820306171329[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]384.088009356958[/C][C]26.0176014489312[/C][C]-29.088009356958[/C][C]0.291563758013422[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]420.362726142965[/C][C]33.0633149426007[/C][C]1.6372738570355[/C][C]0.555397475861735[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]441.582412872772[/C][C]24.930468451421[/C][C]23.4175871272276[/C][C]-0.64083991788088[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]445.923304437273[/C][C]10.7993926154683[/C][C]21.0766955627274[/C][C]-1.11347790992398[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]413.091335023532[/C][C]-19.1376680878929[/C][C]-9.09133502353194[/C][C]-2.35948278733411[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]369.497689668967[/C][C]-35.9184617211431[/C][C]-22.4976896689665[/C][C]-1.32289016152994[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]336.359425128256[/C][C]-34.0103336465329[/C][C]-31.3594251282564[/C][C]0.150444295436164[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]321.234328010385[/C][C]-21.0453295642911[/C][C]14.7656719896146[/C][C]1.02212992284577[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]319.887574824529[/C][C]-7.52237982521736[/C][C]20.1124251754713[/C][C]1.0657852510446[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]325.785099237737[/C][C]1.68521517885269[/C][C]-7.78509923773677[/C][C]0.725496513712297[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]337.59254025786[/C][C]8.62555396766145[/C][C]24.4074597421402[/C][C]0.546953653776878[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]357.240232784489[/C][C]16.1821125098097[/C][C]-9.24023278448929[/C][C]0.595791716641232[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]393.310811458271[/C][C]29.8234819900294[/C][C]-30.310811458271[/C][C]1.07570036772012[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]431.338508661399[/C][C]35.4524342752377[/C][C]3.66149133860063[/C][C]0.443727055621411[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]463.215773842062[/C][C]33.0001127727789[/C][C]27.7842261579382[/C][C]-0.193243460619358[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]474.716420396571[/C][C]18.2605075435801[/C][C]30.2835796034294[/C][C]-1.16143089472579[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]421.551172758561[/C][C]-30.6918025935199[/C][C]-17.5511727585607[/C][C]-3.85812344015005[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]381.045710682761[/C][C]-37.4178157101189[/C][C]-22.0457106827608[/C][C]-0.530240878837383[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]346.097528477625[/C][C]-35.724751733376[/C][C]-36.0975284776254[/C][C]0.133488094238204[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]323.990934397518[/C][C]-26.3863186697926[/C][C]13.0090656024819[/C][C]0.736195550056075[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]333.613484673439[/C][C]-1.69536858977234[/C][C]26.3865153265606[/C][C]1.94591942498617[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]348.340460691376[/C][C]9.55953751743647[/C][C]-6.34046069137614[/C][C]0.886832352224761[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]379.535573873965[/C][C]24.3788306309989[/C][C]26.4644261260351[/C][C]1.16789989589757[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]411.735082295535[/C][C]29.7351664406265[/C][C]-15.7350822955352[/C][C]0.422297284444587[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]453.440291928443[/C][C]37.9365984731884[/C][C]-33.4402919284427[/C][C]0.646695250028174[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]475.781853878023[/C][C]27.2483815234519[/C][C]-3.78185387802268[/C][C]-0.842552139799802[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]510.955897622766[/C][C]32.6792177670154[/C][C]37.0441023772336[/C][C]0.427966067503413[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]513.663292442705[/C][C]12.1518510763985[/C][C]45.3367075572945[/C][C]-1.61750240641382[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]484.876511571505[/C][C]-15.8768941339203[/C][C]-21.8765115715048[/C][C]-2.20904077312388[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]434.840685476321[/C][C]-39.2640002636063[/C][C]-27.840685476321[/C][C]-1.84370688682264[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]399.140217891199[/C][C]-36.8235520057992[/C][C]-37.1402178911987[/C][C]0.192413579730289[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]394.18174171966[/C][C]-14.9955789508161[/C][C]10.8182582803401[/C][C]1.72076562082904[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]392.714811910559[/C][C]-5.7290270942735[/C][C]24.2851880894415[/C][C]0.730297448608248[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]400.377184480351[/C][C]3.43918811602129[/C][C]-9.37718448035131[/C][C]0.722426991459019[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]397.703335515836[/C][C]-0.743936331484617[/C][C]21.2966644841645[/C][C]-0.329674097732742[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]463.863961949144[/C][C]45.0355907013831[/C][C]-2.8639619491437[/C][C]3.60916432230739[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]506.973754757327[/C][C]43.7174072302282[/C][C]-34.9737547573275[/C][C]-0.10393616369759[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]544.916092641372[/C][C]39.7633948605285[/C][C]-9.91609264137195[/C][C]-0.311694501591667[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]578.095081226431[/C][C]35.2560039913714[/C][C]43.9049187735687[/C][C]-0.355205221579896[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]560.043257323749[/C][C]-1.21956357343435[/C][C]45.9567426762509[/C][C]-2.87421693401565[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]524.076188761231[/C][C]-24.9870483288102[/C][C]-16.0761887612305[/C][C]-1.87319020365088[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]490.500755209164[/C][C]-30.8615145876391[/C][C]-29.5007552091642[/C][C]-0.463106512522924[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]441.011228219402[/C][C]-43.606461503922[/C][C]-51.0112282194017[/C][C]-1.00484343614055[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]417.850759735825[/C][C]-29.614350939417[/C][C]14.1492402641755[/C][C]1.10301869439863[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155193&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155193&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
1112112000
2118116.6626608279164.773184732145361.337339172083560.424228080065078
3132130.36539454024911.08629383409391.634605459751450.529048171962372
4129132.2554035424794.19626405539336-3.25540354247917-0.555722284735252
5121123.494625852888-5.302316486597-2.49462585288816-0.743105120644572
6135130.6817953421093.821359452120354.318204657890880.720130208797928
7148145.95414661085212.2106083558242.045853389147590.661413907994762
8148150.7954621229896.80932763546608-2.79546212298933-0.425692684219446
9136139.990519875019-6.09921746226408-3.99051987501923-1.0174338259679
10119120.957802153587-15.5758534122408-1.95780215358673-0.746920872935759
11104103.451987853723-16.9899077609630.548012146276897-0.111451527449667
12118111.3207256128041.224060860588876.679274387195581.43557125622478
13115116.0844086705193.81134595816173-1.084408670518710.204507666739328
14126126.6032928647378.73193668269216-0.6032928647368590.393842477554375
15141136.8854293938889.826602649752514.114570606111650.0859104665178879
16135136.6235103372912.7026419419662-1.62351033729141-0.570082897468207
17125132.265781787584-2.30644459232102-7.26578178758361-0.394341929883733
18149144.7753178486848.12593013644564.224682151315520.820765574610392
19170165.12343518877416.73441074543184.876564811226160.678999384292516
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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')