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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 computationTue, 29 Nov 2011 18:06:08 -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/Nov/29/t1322608004c8egzdllizsd8sg.htm/, Retrieved Fri, 29 Mar 2024 11:39:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148780, Retrieved Fri, 29 Mar 2024 11:39:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD    [Structural Time Series Models] [WS 8- Structurial...] [2011-11-29 23:06:08] [8aedcf735e397266388b06f47fe45218] [Current]
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Dataseries X:
127
128.7
127.3
136.7
133.8
137.2
147.4
137.6
123.6
117.4
113.7
106.8
103.3
96.3
96.2
94.7
94.6
95.7
106.7
100.2
94.2
97.6
94.3
98
93.6
86.3
90.7
81.8
87.6
73.8
63.3
59.1
52.9
54.6
52.4
67.5
90.4
126
144.3
167.8
166.2
156
137
129.3
118
114.7
112.8
115.7
103.9
96.9
88.8
93
86.3
82.3
82.4
76.6
72.7
67.5
77.3
73.7
73
78.2
90.7
91.5
86.3
86.8
86.1
77.1
75.7
78.7
71.5
69.6
73.6
78.1
78.3
71.5
68.7
61.2
64.7
64.6
56.3
54.5
49.5
54
59.2
52.4
52.8
47.8
45.2
47.1
42.6
42.1
39.4
39.6
37.8
36.8
36.5
34
37.5
36.1
35.1
32.8
32.2
38.1
41.4
38.5
34.6
31.2
34.7
35.8
33.8
32.5
31.2
32.5
32.3
30.1
25.3
24.5
23.7
23.8
26.9
32.4
32.6
31.7
34.1
34.9
33.1
32.3
34.6
32.7
32.6
41
40




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148780&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148780&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148780&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'Herman Ole Andreas Wold' @ wold.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1127127000
2128.7128.6277791052190.3833575302874770.07222089478136470.190589315255509
3127.3127.208475914345-0.5905193589185180.0915240856554528-0.261814842687197
4136.7136.6568053764454.935001776773240.04319462355479031.4553803201366
5133.8133.7399187603940.5907498910486750.060081239605609-1.13959552770475
6137.2137.1426146651642.149162141367960.0573853348359170.408476928531152
7147.4147.346054301156.61574959336670.05394569885041891.17055421103144
8137.6137.542931971083-2.49185076226060.0570680289167947-2.38674423945427
9123.6123.541957501763-8.876696568839990.0580424982367176-1.67320672558731
10117.4117.342058405211-7.391635189626140.05794159478918240.389173312496358
11113.7113.642120359266-5.343474130218110.05787964073447050.536738372152765
12106.8106.742108730024-6.207052356884110.0578912699757115-0.226308154233243
13103.3103.156703446964-4.791833699738390.1432965530359690.428270717139422
1496.396.3544677470232-5.77713414729819-0.0544677470231979-0.235503040913116
1596.296.2768397818681-2.59060349357516-0.076839781868150.819386291384987
1694.794.7787475967923-1.98412750154993-0.07874759679231840.158337994280474
1794.694.6802140768727-0.938314177477393-0.08021407687271080.273861113635944
1895.795.78092028389710.192668155360484-0.08092028389711610.296340124762483
19106.7106.7825872000296.1888063041347-0.08258720002875981.57129411627298
20100.2100.281715919158-0.85111262223304-0.0817159191584022-1.8448610509922
2194.294.2815585228665-3.70777584068106-0.0815585228665267-0.748612473351258
2297.697.68165525234050.235699484148239-0.08165525234049561.03342161851178
2394.394.3816338311054-1.72594680595245-0.0816338311053765-0.514066371901746
249898.08164846597191.28443013174302-0.0816484659719220.788895334512656
2593.693.5128474131886-1.922142346596480.0871525868114275-0.902319761858545
2686.386.376707965527-4.59899727617168-0.0767079655269655-0.668305497210993
2790.790.79968848490270.431540837488466-0.0996884849026661.30220643752943
2881.881.8890995572095-4.75345645528474-0.0890995572094741-1.35547532375891
2987.687.69442893887671.10345809250231-0.09442893887672691.53411629248791
3073.873.8910786565622-7.16563587924557-0.091078656562223-2.16678089260807
3163.363.3907449650605-9.01560052419628-0.0907449650605219-0.484790084109196
3259.159.1909595135199-6.34384448302101-0.09095951351985180.700154179256065
3352.952.9909623665869-6.26403789338697-0.09096236658693840.0209139922732658
3454.654.691032689381-1.84549880597178-0.09103268938098581.15791625480893
3552.452.4910312958245-2.04218009872663-0.0910312958245312-0.0515420342059423
3667.567.591061295537.46849617161482-0.09106129553003222.49235504938546
3790.488.210773271932214.70509732282982.189226728067831.98834054118737
38126125.97533863773926.79656962642040.0246613622605493.06685692427101
39144.3144.25928982513622.05618349386490.0407101748640001-1.23102544647925
40167.8167.76050225115722.85811694150970.03949774884338870.209775989294691
41166.2166.1513612979019.285496490161690.0486387020987823-3.5555553978508
42156155.948119391511-1.525748706280670.0518806084888391-2.83298032131916
43137136.946825115271-11.22074542127390.0531748847286753-2.54062226951529
44129.3129.246941208309-9.267392530840270.05305879169115080.511891617735143
45118117.94691137036-10.39510662508840.0530886296396435-0.295527080098386
46114.7114.646957738365-6.458660612032790.05304226163496231.03157964859788
47112.8112.746971001336-3.929463889088830.05302899866428650.662797885707713
48115.7115.646979847077-0.1403997376868420.05302015292296170.992957063824842
49103.9105.175167200256-5.83751667872533-1.2751672002558-1.54686712019771
5096.996.803512337122-7.182469838365350.0964876628779657-0.343901040884051
5188.888.7021372494574-7.693787378650230.0978627505425924-0.133032788874437
529392.9100640959669-1.089175581810760.08993590403309411.72832693159199
5386.386.2083996998191-4.202667186551790.0916003001808561-0.815686680996882
5482.382.2084264630687-4.090221245949140.09157353693128530.0294657805104185
5582.482.3086728018168-1.765422989084080.09132719818320160.609226743596087
5676.676.5085672083313-4.003855180104870.0914327916686862-0.586599245216973
5772.772.6085684184033-3.946235131001410.09143158159669770.0150998261747753
5867.567.4085619149626-4.641838158879330.0914380850374433-0.182288780491869
5977.377.20859526479333.370657780839260.09140473520670632.09974390033418
6073.773.6085880985921-0.4967423436271670.0914119014078805-1.0134856846369
617373.9603672662413-0.0282488430988107-0.9603672662412570.126302833910309
6278.278.08634602338412.193852617917040.1136539766159120.570973643985889
6390.790.59914748339657.932872659576730.1008525166034871.4950012489407
6491.591.3952067533053.972588771248670.104793246695019-1.03659938486176
6586.386.1929511120917-1.117202861795930.107048887908314-1.33351124590418
6686.886.6931281520005-0.2199346553847650.1068718479995090.235125975509156
6786.185.9931047556545-0.4862818729854420.106895244345514-0.0697979516514175
6877.176.992920037146-5.209794709190020.10707996285397-1.23783517719915
6975.775.5929568362017-3.096076858016970.1070431637982870.553917863898697
7078.778.59298304997770.286095977435580.107016950022250.88632761215434
7171.571.3929687189079-3.867275141623550.107031281092061-1.08842684779443
7269.669.4929703955193-2.775808544918060.1070296044807220.286028271206013
7373.674.43643538469811.48975406184796-0.8364353846981171.14453610628337
7478.178.01267949649282.611949400403480.08732050350716590.289296648904364
7578.378.21012150832321.269565768620060.0898784916767702-0.349993243519532
7671.571.4063144502885-3.210308231548730.093685549711524-1.17280411832219
7768.768.6064006144885-2.982636480109150.09359938551149310.059651408005526
7861.261.1059783033732-5.488982351933140.0940216966268146-0.656783571660964
7964.764.6063524134892-0.5017686706715220.09364758651078511.30693224703366
8064.664.5063598575266-0.2788626344231140.09364014247337510.0584143657481405
8156.356.2062936949508-4.729081603852980.0937063050491924-1.1662180523733
8254.554.4063044509801-3.103993797350320.09369554901989610.425868304263581
8349.549.4063013513895-4.155919583141710.0936986486104564-0.275666256806359
845453.90630765111850.6464829311182550.09369234888152321.25851115691523
8559.260.02415845735913.67165624309453-0.8241584573590510.808976312459553
8652.452.3783985059504-2.439986351303950.0216014940496166-1.57925046842773
8752.852.7810263491983-0.8600080999256150.01897365080166340.412208190835022
8847.847.7793221071172-3.158170353681040.0206778928827505-0.601722561036135
8945.245.1794243856214-2.848457765110710.02057561437861310.0811486856708776
9047.147.0798117348622-0.2139032540954380.02018826513784690.690383913491968
9142.642.579656083156-2.591888469188080.0203439168440039-0.623167338314587
9242.142.0796899031918-1.431284012157930.02031009680819960.304146033232112
9339.439.3796807716537-2.135182170441850.0203192283462835-0.184462557276178
9439.639.5796882541127-0.8395965343457220.02031174588729660.339519415486168
9537.837.7796868841102-1.372439289770670.0203131158898241-0.139636056141562
9636.836.7796871206298-1.165805741008310.02031287937018220.0541501104536601
9736.536.6880579730944-0.57162340993425-0.1880579730944140.158491209446109
983433.9917737256624-1.722564939678730.00822627433764428-0.297927483671797
9937.537.49605958500991.182021634524190.003940414990096650.758173211245135
10036.136.0951168361119-0.2512035092853080.00488316388805513-0.375295458107339
10135.135.0949951356151-0.6666839742992920.00500486438494313-0.108863380854059
10232.832.7948769587113-1.572883405911450.00512304128867397-0.237470113428783
10332.232.1949082962747-1.033114617007020.005091703725340120.141450223602643
10438.138.09500771689792.813458984782610.004992283102111631.00802670133569
10541.441.39501082297013.083397506401410.00498917702986590.0707397099087507
10638.538.4949938176814-0.2362594923668660.00500618231864508-0.869944818189474
10734.634.5949891820923-2.268944354119010.00501081790774651-0.532682662799963
10831.231.1949885449913-2.896466874811820.0050114550087273-0.164447709576994
10934.734.57177625163920.5747667224226540.1282237483608380.924089456100926
11035.835.80917330157980.934605690698681-0.009173301579774080.0932738964515942
11133.833.8070097693404-0.697104892249737-0.00700976934043372-0.426090078563015
11232.532.5068119961565-1.03174274137318-0.0068119961564833-0.087633153654524
11331.231.2067728242445-1.18058768306902-0.00677282424445799-0.0390006749936115
11432.532.50693407907910.195693938902735-0.006934079079079330.360656562809303
11532.332.3069226276468-0.0238422928188129-0.00692262764677092-0.0575310557033674
11630.130.1068945904563-1.23120011399551-0.00689459045634486-0.316398227853732
11725.325.3068741208107-3.21121109074682-0.00687412081066916-0.518878908695527
11824.524.5068802777861-1.87344375360936-0.006880277786121520.350573498683196
11923.723.7068814980551-1.27788496278451-0.006881498055055150.156071336399692
12023.823.8068821953769-0.513418733276352-0.006882195376940460.200334994155345
12126.926.73392720891891.390835805708290.166072791081060.50614060316689
12232.432.40055961865463.71745895068945-0.0005596186546267920.603745220791178
12332.632.59820557730271.762061463966550.00179442269733776-0.510781779555395
12431.731.69741282794230.2845391323195990.00258717205766074-0.386950636701218
12534.134.09769325811611.458312253077610.002306741883863630.30755853089715
12634.934.89765440843981.093067500134250.00234559156019304-0.0957131521477189
12733.133.0975784009391-0.5120441211628990.00242159906086601-0.420631309595004
12832.332.297575032974-0.6718054104835910.00242496702595796-0.0418667879439563
12934.634.59759050709580.9769861860435230.002409492904162680.432080029485012
13032.732.697583837992-0.6191984676134630.00241616200801321-0.418293992713803
13132.632.5975843737975-0.3311412588569860.002415626202499080.0754878850883823
1324140.99758838513194.512995092946260.002411614868127891.26944787149091
1334040.1542773386621.54769311963504-0.154277338661983-0.787146587211588

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 127 & 127 & 0 & 0 & 0 \tabularnewline
2 & 128.7 & 128.627779105219 & 0.383357530287477 & 0.0722208947813647 & 0.190589315255509 \tabularnewline
3 & 127.3 & 127.208475914345 & -0.590519358918518 & 0.0915240856554528 & -0.261814842687197 \tabularnewline
4 & 136.7 & 136.656805376445 & 4.93500177677324 & 0.0431946235547903 & 1.4553803201366 \tabularnewline
5 & 133.8 & 133.739918760394 & 0.590749891048675 & 0.060081239605609 & -1.13959552770475 \tabularnewline
6 & 137.2 & 137.142614665164 & 2.14916214136796 & 0.057385334835917 & 0.408476928531152 \tabularnewline
7 & 147.4 & 147.34605430115 & 6.6157495933667 & 0.0539456988504189 & 1.17055421103144 \tabularnewline
8 & 137.6 & 137.542931971083 & -2.4918507622606 & 0.0570680289167947 & -2.38674423945427 \tabularnewline
9 & 123.6 & 123.541957501763 & -8.87669656883999 & 0.0580424982367176 & -1.67320672558731 \tabularnewline
10 & 117.4 & 117.342058405211 & -7.39163518962614 & 0.0579415947891824 & 0.389173312496358 \tabularnewline
11 & 113.7 & 113.642120359266 & -5.34347413021811 & 0.0578796407344705 & 0.536738372152765 \tabularnewline
12 & 106.8 & 106.742108730024 & -6.20705235688411 & 0.0578912699757115 & -0.226308154233243 \tabularnewline
13 & 103.3 & 103.156703446964 & -4.79183369973839 & 0.143296553035969 & 0.428270717139422 \tabularnewline
14 & 96.3 & 96.3544677470232 & -5.77713414729819 & -0.0544677470231979 & -0.235503040913116 \tabularnewline
15 & 96.2 & 96.2768397818681 & -2.59060349357516 & -0.07683978186815 & 0.819386291384987 \tabularnewline
16 & 94.7 & 94.7787475967923 & -1.98412750154993 & -0.0787475967923184 & 0.158337994280474 \tabularnewline
17 & 94.6 & 94.6802140768727 & -0.938314177477393 & -0.0802140768727108 & 0.273861113635944 \tabularnewline
18 & 95.7 & 95.7809202838971 & 0.192668155360484 & -0.0809202838971161 & 0.296340124762483 \tabularnewline
19 & 106.7 & 106.782587200029 & 6.1888063041347 & -0.0825872000287598 & 1.57129411627298 \tabularnewline
20 & 100.2 & 100.281715919158 & -0.85111262223304 & -0.0817159191584022 & -1.8448610509922 \tabularnewline
21 & 94.2 & 94.2815585228665 & -3.70777584068106 & -0.0815585228665267 & -0.748612473351258 \tabularnewline
22 & 97.6 & 97.6816552523405 & 0.235699484148239 & -0.0816552523404956 & 1.03342161851178 \tabularnewline
23 & 94.3 & 94.3816338311054 & -1.72594680595245 & -0.0816338311053765 & -0.514066371901746 \tabularnewline
24 & 98 & 98.0816484659719 & 1.28443013174302 & -0.081648465971922 & 0.788895334512656 \tabularnewline
25 & 93.6 & 93.5128474131886 & -1.92214234659648 & 0.0871525868114275 & -0.902319761858545 \tabularnewline
26 & 86.3 & 86.376707965527 & -4.59899727617168 & -0.0767079655269655 & -0.668305497210993 \tabularnewline
27 & 90.7 & 90.7996884849027 & 0.431540837488466 & -0.099688484902666 & 1.30220643752943 \tabularnewline
28 & 81.8 & 81.8890995572095 & -4.75345645528474 & -0.0890995572094741 & -1.35547532375891 \tabularnewline
29 & 87.6 & 87.6944289388767 & 1.10345809250231 & -0.0944289388767269 & 1.53411629248791 \tabularnewline
30 & 73.8 & 73.8910786565622 & -7.16563587924557 & -0.091078656562223 & -2.16678089260807 \tabularnewline
31 & 63.3 & 63.3907449650605 & -9.01560052419628 & -0.0907449650605219 & -0.484790084109196 \tabularnewline
32 & 59.1 & 59.1909595135199 & -6.34384448302101 & -0.0909595135198518 & 0.700154179256065 \tabularnewline
33 & 52.9 & 52.9909623665869 & -6.26403789338697 & -0.0909623665869384 & 0.0209139922732658 \tabularnewline
34 & 54.6 & 54.691032689381 & -1.84549880597178 & -0.0910326893809858 & 1.15791625480893 \tabularnewline
35 & 52.4 & 52.4910312958245 & -2.04218009872663 & -0.0910312958245312 & -0.0515420342059423 \tabularnewline
36 & 67.5 & 67.59106129553 & 7.46849617161482 & -0.0910612955300322 & 2.49235504938546 \tabularnewline
37 & 90.4 & 88.2107732719322 & 14.7050973228298 & 2.18922672806783 & 1.98834054118737 \tabularnewline
38 & 126 & 125.975338637739 & 26.7965696264204 & 0.024661362260549 & 3.06685692427101 \tabularnewline
39 & 144.3 & 144.259289825136 & 22.0561834938649 & 0.0407101748640001 & -1.23102544647925 \tabularnewline
40 & 167.8 & 167.760502251157 & 22.8581169415097 & 0.0394977488433887 & 0.209775989294691 \tabularnewline
41 & 166.2 & 166.151361297901 & 9.28549649016169 & 0.0486387020987823 & -3.5555553978508 \tabularnewline
42 & 156 & 155.948119391511 & -1.52574870628067 & 0.0518806084888391 & -2.83298032131916 \tabularnewline
43 & 137 & 136.946825115271 & -11.2207454212739 & 0.0531748847286753 & -2.54062226951529 \tabularnewline
44 & 129.3 & 129.246941208309 & -9.26739253084027 & 0.0530587916911508 & 0.511891617735143 \tabularnewline
45 & 118 & 117.94691137036 & -10.3951066250884 & 0.0530886296396435 & -0.295527080098386 \tabularnewline
46 & 114.7 & 114.646957738365 & -6.45866061203279 & 0.0530422616349623 & 1.03157964859788 \tabularnewline
47 & 112.8 & 112.746971001336 & -3.92946388908883 & 0.0530289986642865 & 0.662797885707713 \tabularnewline
48 & 115.7 & 115.646979847077 & -0.140399737686842 & 0.0530201529229617 & 0.992957063824842 \tabularnewline
49 & 103.9 & 105.175167200256 & -5.83751667872533 & -1.2751672002558 & -1.54686712019771 \tabularnewline
50 & 96.9 & 96.803512337122 & -7.18246983836535 & 0.0964876628779657 & -0.343901040884051 \tabularnewline
51 & 88.8 & 88.7021372494574 & -7.69378737865023 & 0.0978627505425924 & -0.133032788874437 \tabularnewline
52 & 93 & 92.9100640959669 & -1.08917558181076 & 0.0899359040330941 & 1.72832693159199 \tabularnewline
53 & 86.3 & 86.2083996998191 & -4.20266718655179 & 0.0916003001808561 & -0.815686680996882 \tabularnewline
54 & 82.3 & 82.2084264630687 & -4.09022124594914 & 0.0915735369312853 & 0.0294657805104185 \tabularnewline
55 & 82.4 & 82.3086728018168 & -1.76542298908408 & 0.0913271981832016 & 0.609226743596087 \tabularnewline
56 & 76.6 & 76.5085672083313 & -4.00385518010487 & 0.0914327916686862 & -0.586599245216973 \tabularnewline
57 & 72.7 & 72.6085684184033 & -3.94623513100141 & 0.0914315815966977 & 0.0150998261747753 \tabularnewline
58 & 67.5 & 67.4085619149626 & -4.64183815887933 & 0.0914380850374433 & -0.182288780491869 \tabularnewline
59 & 77.3 & 77.2085952647933 & 3.37065778083926 & 0.0914047352067063 & 2.09974390033418 \tabularnewline
60 & 73.7 & 73.6085880985921 & -0.496742343627167 & 0.0914119014078805 & -1.0134856846369 \tabularnewline
61 & 73 & 73.9603672662413 & -0.0282488430988107 & -0.960367266241257 & 0.126302833910309 \tabularnewline
62 & 78.2 & 78.0863460233841 & 2.19385261791704 & 0.113653976615912 & 0.570973643985889 \tabularnewline
63 & 90.7 & 90.5991474833965 & 7.93287265957673 & 0.100852516603487 & 1.4950012489407 \tabularnewline
64 & 91.5 & 91.395206753305 & 3.97258877124867 & 0.104793246695019 & -1.03659938486176 \tabularnewline
65 & 86.3 & 86.1929511120917 & -1.11720286179593 & 0.107048887908314 & -1.33351124590418 \tabularnewline
66 & 86.8 & 86.6931281520005 & -0.219934655384765 & 0.106871847999509 & 0.235125975509156 \tabularnewline
67 & 86.1 & 85.9931047556545 & -0.486281872985442 & 0.106895244345514 & -0.0697979516514175 \tabularnewline
68 & 77.1 & 76.992920037146 & -5.20979470919002 & 0.10707996285397 & -1.23783517719915 \tabularnewline
69 & 75.7 & 75.5929568362017 & -3.09607685801697 & 0.107043163798287 & 0.553917863898697 \tabularnewline
70 & 78.7 & 78.5929830499777 & 0.28609597743558 & 0.10701695002225 & 0.88632761215434 \tabularnewline
71 & 71.5 & 71.3929687189079 & -3.86727514162355 & 0.107031281092061 & -1.08842684779443 \tabularnewline
72 & 69.6 & 69.4929703955193 & -2.77580854491806 & 0.107029604480722 & 0.286028271206013 \tabularnewline
73 & 73.6 & 74.4364353846981 & 1.48975406184796 & -0.836435384698117 & 1.14453610628337 \tabularnewline
74 & 78.1 & 78.0126794964928 & 2.61194940040348 & 0.0873205035071659 & 0.289296648904364 \tabularnewline
75 & 78.3 & 78.2101215083232 & 1.26956576862006 & 0.0898784916767702 & -0.349993243519532 \tabularnewline
76 & 71.5 & 71.4063144502885 & -3.21030823154873 & 0.093685549711524 & -1.17280411832219 \tabularnewline
77 & 68.7 & 68.6064006144885 & -2.98263648010915 & 0.0935993855114931 & 0.059651408005526 \tabularnewline
78 & 61.2 & 61.1059783033732 & -5.48898235193314 & 0.0940216966268146 & -0.656783571660964 \tabularnewline
79 & 64.7 & 64.6063524134892 & -0.501768670671522 & 0.0936475865107851 & 1.30693224703366 \tabularnewline
80 & 64.6 & 64.5063598575266 & -0.278862634423114 & 0.0936401424733751 & 0.0584143657481405 \tabularnewline
81 & 56.3 & 56.2062936949508 & -4.72908160385298 & 0.0937063050491924 & -1.1662180523733 \tabularnewline
82 & 54.5 & 54.4063044509801 & -3.10399379735032 & 0.0936955490198961 & 0.425868304263581 \tabularnewline
83 & 49.5 & 49.4063013513895 & -4.15591958314171 & 0.0936986486104564 & -0.275666256806359 \tabularnewline
84 & 54 & 53.9063076511185 & 0.646482931118255 & 0.0936923488815232 & 1.25851115691523 \tabularnewline
85 & 59.2 & 60.0241584573591 & 3.67165624309453 & -0.824158457359051 & 0.808976312459553 \tabularnewline
86 & 52.4 & 52.3783985059504 & -2.43998635130395 & 0.0216014940496166 & -1.57925046842773 \tabularnewline
87 & 52.8 & 52.7810263491983 & -0.860008099925615 & 0.0189736508016634 & 0.412208190835022 \tabularnewline
88 & 47.8 & 47.7793221071172 & -3.15817035368104 & 0.0206778928827505 & -0.601722561036135 \tabularnewline
89 & 45.2 & 45.1794243856214 & -2.84845776511071 & 0.0205756143786131 & 0.0811486856708776 \tabularnewline
90 & 47.1 & 47.0798117348622 & -0.213903254095438 & 0.0201882651378469 & 0.690383913491968 \tabularnewline
91 & 42.6 & 42.579656083156 & -2.59188846918808 & 0.0203439168440039 & -0.623167338314587 \tabularnewline
92 & 42.1 & 42.0796899031918 & -1.43128401215793 & 0.0203100968081996 & 0.304146033232112 \tabularnewline
93 & 39.4 & 39.3796807716537 & -2.13518217044185 & 0.0203192283462835 & -0.184462557276178 \tabularnewline
94 & 39.6 & 39.5796882541127 & -0.839596534345722 & 0.0203117458872966 & 0.339519415486168 \tabularnewline
95 & 37.8 & 37.7796868841102 & -1.37243928977067 & 0.0203131158898241 & -0.139636056141562 \tabularnewline
96 & 36.8 & 36.7796871206298 & -1.16580574100831 & 0.0203128793701822 & 0.0541501104536601 \tabularnewline
97 & 36.5 & 36.6880579730944 & -0.57162340993425 & -0.188057973094414 & 0.158491209446109 \tabularnewline
98 & 34 & 33.9917737256624 & -1.72256493967873 & 0.00822627433764428 & -0.297927483671797 \tabularnewline
99 & 37.5 & 37.4960595850099 & 1.18202163452419 & 0.00394041499009665 & 0.758173211245135 \tabularnewline
100 & 36.1 & 36.0951168361119 & -0.251203509285308 & 0.00488316388805513 & -0.375295458107339 \tabularnewline
101 & 35.1 & 35.0949951356151 & -0.666683974299292 & 0.00500486438494313 & -0.108863380854059 \tabularnewline
102 & 32.8 & 32.7948769587113 & -1.57288340591145 & 0.00512304128867397 & -0.237470113428783 \tabularnewline
103 & 32.2 & 32.1949082962747 & -1.03311461700702 & 0.00509170372534012 & 0.141450223602643 \tabularnewline
104 & 38.1 & 38.0950077168979 & 2.81345898478261 & 0.00499228310211163 & 1.00802670133569 \tabularnewline
105 & 41.4 & 41.3950108229701 & 3.08339750640141 & 0.0049891770298659 & 0.0707397099087507 \tabularnewline
106 & 38.5 & 38.4949938176814 & -0.236259492366866 & 0.00500618231864508 & -0.869944818189474 \tabularnewline
107 & 34.6 & 34.5949891820923 & -2.26894435411901 & 0.00501081790774651 & -0.532682662799963 \tabularnewline
108 & 31.2 & 31.1949885449913 & -2.89646687481182 & 0.0050114550087273 & -0.164447709576994 \tabularnewline
109 & 34.7 & 34.5717762516392 & 0.574766722422654 & 0.128223748360838 & 0.924089456100926 \tabularnewline
110 & 35.8 & 35.8091733015798 & 0.934605690698681 & -0.00917330157977408 & 0.0932738964515942 \tabularnewline
111 & 33.8 & 33.8070097693404 & -0.697104892249737 & -0.00700976934043372 & -0.426090078563015 \tabularnewline
112 & 32.5 & 32.5068119961565 & -1.03174274137318 & -0.0068119961564833 & -0.087633153654524 \tabularnewline
113 & 31.2 & 31.2067728242445 & -1.18058768306902 & -0.00677282424445799 & -0.0390006749936115 \tabularnewline
114 & 32.5 & 32.5069340790791 & 0.195693938902735 & -0.00693407907907933 & 0.360656562809303 \tabularnewline
115 & 32.3 & 32.3069226276468 & -0.0238422928188129 & -0.00692262764677092 & -0.0575310557033674 \tabularnewline
116 & 30.1 & 30.1068945904563 & -1.23120011399551 & -0.00689459045634486 & -0.316398227853732 \tabularnewline
117 & 25.3 & 25.3068741208107 & -3.21121109074682 & -0.00687412081066916 & -0.518878908695527 \tabularnewline
118 & 24.5 & 24.5068802777861 & -1.87344375360936 & -0.00688027778612152 & 0.350573498683196 \tabularnewline
119 & 23.7 & 23.7068814980551 & -1.27788496278451 & -0.00688149805505515 & 0.156071336399692 \tabularnewline
120 & 23.8 & 23.8068821953769 & -0.513418733276352 & -0.00688219537694046 & 0.200334994155345 \tabularnewline
121 & 26.9 & 26.7339272089189 & 1.39083580570829 & 0.16607279108106 & 0.50614060316689 \tabularnewline
122 & 32.4 & 32.4005596186546 & 3.71745895068945 & -0.000559618654626792 & 0.603745220791178 \tabularnewline
123 & 32.6 & 32.5982055773027 & 1.76206146396655 & 0.00179442269733776 & -0.510781779555395 \tabularnewline
124 & 31.7 & 31.6974128279423 & 0.284539132319599 & 0.00258717205766074 & -0.386950636701218 \tabularnewline
125 & 34.1 & 34.0976932581161 & 1.45831225307761 & 0.00230674188386363 & 0.30755853089715 \tabularnewline
126 & 34.9 & 34.8976544084398 & 1.09306750013425 & 0.00234559156019304 & -0.0957131521477189 \tabularnewline
127 & 33.1 & 33.0975784009391 & -0.512044121162899 & 0.00242159906086601 & -0.420631309595004 \tabularnewline
128 & 32.3 & 32.297575032974 & -0.671805410483591 & 0.00242496702595796 & -0.0418667879439563 \tabularnewline
129 & 34.6 & 34.5975905070958 & 0.976986186043523 & 0.00240949290416268 & 0.432080029485012 \tabularnewline
130 & 32.7 & 32.697583837992 & -0.619198467613463 & 0.00241616200801321 & -0.418293992713803 \tabularnewline
131 & 32.6 & 32.5975843737975 & -0.331141258856986 & 0.00241562620249908 & 0.0754878850883823 \tabularnewline
132 & 41 & 40.9975883851319 & 4.51299509294626 & 0.00241161486812789 & 1.26944787149091 \tabularnewline
133 & 40 & 40.154277338662 & 1.54769311963504 & -0.154277338661983 & -0.787146587211588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148780&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]127[/C][C]127[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]128.7[/C][C]128.627779105219[/C][C]0.383357530287477[/C][C]0.0722208947813647[/C][C]0.190589315255509[/C][/ROW]
[ROW][C]3[/C][C]127.3[/C][C]127.208475914345[/C][C]-0.590519358918518[/C][C]0.0915240856554528[/C][C]-0.261814842687197[/C][/ROW]
[ROW][C]4[/C][C]136.7[/C][C]136.656805376445[/C][C]4.93500177677324[/C][C]0.0431946235547903[/C][C]1.4553803201366[/C][/ROW]
[ROW][C]5[/C][C]133.8[/C][C]133.739918760394[/C][C]0.590749891048675[/C][C]0.060081239605609[/C][C]-1.13959552770475[/C][/ROW]
[ROW][C]6[/C][C]137.2[/C][C]137.142614665164[/C][C]2.14916214136796[/C][C]0.057385334835917[/C][C]0.408476928531152[/C][/ROW]
[ROW][C]7[/C][C]147.4[/C][C]147.34605430115[/C][C]6.6157495933667[/C][C]0.0539456988504189[/C][C]1.17055421103144[/C][/ROW]
[ROW][C]8[/C][C]137.6[/C][C]137.542931971083[/C][C]-2.4918507622606[/C][C]0.0570680289167947[/C][C]-2.38674423945427[/C][/ROW]
[ROW][C]9[/C][C]123.6[/C][C]123.541957501763[/C][C]-8.87669656883999[/C][C]0.0580424982367176[/C][C]-1.67320672558731[/C][/ROW]
[ROW][C]10[/C][C]117.4[/C][C]117.342058405211[/C][C]-7.39163518962614[/C][C]0.0579415947891824[/C][C]0.389173312496358[/C][/ROW]
[ROW][C]11[/C][C]113.7[/C][C]113.642120359266[/C][C]-5.34347413021811[/C][C]0.0578796407344705[/C][C]0.536738372152765[/C][/ROW]
[ROW][C]12[/C][C]106.8[/C][C]106.742108730024[/C][C]-6.20705235688411[/C][C]0.0578912699757115[/C][C]-0.226308154233243[/C][/ROW]
[ROW][C]13[/C][C]103.3[/C][C]103.156703446964[/C][C]-4.79183369973839[/C][C]0.143296553035969[/C][C]0.428270717139422[/C][/ROW]
[ROW][C]14[/C][C]96.3[/C][C]96.3544677470232[/C][C]-5.77713414729819[/C][C]-0.0544677470231979[/C][C]-0.235503040913116[/C][/ROW]
[ROW][C]15[/C][C]96.2[/C][C]96.2768397818681[/C][C]-2.59060349357516[/C][C]-0.07683978186815[/C][C]0.819386291384987[/C][/ROW]
[ROW][C]16[/C][C]94.7[/C][C]94.7787475967923[/C][C]-1.98412750154993[/C][C]-0.0787475967923184[/C][C]0.158337994280474[/C][/ROW]
[ROW][C]17[/C][C]94.6[/C][C]94.6802140768727[/C][C]-0.938314177477393[/C][C]-0.0802140768727108[/C][C]0.273861113635944[/C][/ROW]
[ROW][C]18[/C][C]95.7[/C][C]95.7809202838971[/C][C]0.192668155360484[/C][C]-0.0809202838971161[/C][C]0.296340124762483[/C][/ROW]
[ROW][C]19[/C][C]106.7[/C][C]106.782587200029[/C][C]6.1888063041347[/C][C]-0.0825872000287598[/C][C]1.57129411627298[/C][/ROW]
[ROW][C]20[/C][C]100.2[/C][C]100.281715919158[/C][C]-0.85111262223304[/C][C]-0.0817159191584022[/C][C]-1.8448610509922[/C][/ROW]
[ROW][C]21[/C][C]94.2[/C][C]94.2815585228665[/C][C]-3.70777584068106[/C][C]-0.0815585228665267[/C][C]-0.748612473351258[/C][/ROW]
[ROW][C]22[/C][C]97.6[/C][C]97.6816552523405[/C][C]0.235699484148239[/C][C]-0.0816552523404956[/C][C]1.03342161851178[/C][/ROW]
[ROW][C]23[/C][C]94.3[/C][C]94.3816338311054[/C][C]-1.72594680595245[/C][C]-0.0816338311053765[/C][C]-0.514066371901746[/C][/ROW]
[ROW][C]24[/C][C]98[/C][C]98.0816484659719[/C][C]1.28443013174302[/C][C]-0.081648465971922[/C][C]0.788895334512656[/C][/ROW]
[ROW][C]25[/C][C]93.6[/C][C]93.5128474131886[/C][C]-1.92214234659648[/C][C]0.0871525868114275[/C][C]-0.902319761858545[/C][/ROW]
[ROW][C]26[/C][C]86.3[/C][C]86.376707965527[/C][C]-4.59899727617168[/C][C]-0.0767079655269655[/C][C]-0.668305497210993[/C][/ROW]
[ROW][C]27[/C][C]90.7[/C][C]90.7996884849027[/C][C]0.431540837488466[/C][C]-0.099688484902666[/C][C]1.30220643752943[/C][/ROW]
[ROW][C]28[/C][C]81.8[/C][C]81.8890995572095[/C][C]-4.75345645528474[/C][C]-0.0890995572094741[/C][C]-1.35547532375891[/C][/ROW]
[ROW][C]29[/C][C]87.6[/C][C]87.6944289388767[/C][C]1.10345809250231[/C][C]-0.0944289388767269[/C][C]1.53411629248791[/C][/ROW]
[ROW][C]30[/C][C]73.8[/C][C]73.8910786565622[/C][C]-7.16563587924557[/C][C]-0.091078656562223[/C][C]-2.16678089260807[/C][/ROW]
[ROW][C]31[/C][C]63.3[/C][C]63.3907449650605[/C][C]-9.01560052419628[/C][C]-0.0907449650605219[/C][C]-0.484790084109196[/C][/ROW]
[ROW][C]32[/C][C]59.1[/C][C]59.1909595135199[/C][C]-6.34384448302101[/C][C]-0.0909595135198518[/C][C]0.700154179256065[/C][/ROW]
[ROW][C]33[/C][C]52.9[/C][C]52.9909623665869[/C][C]-6.26403789338697[/C][C]-0.0909623665869384[/C][C]0.0209139922732658[/C][/ROW]
[ROW][C]34[/C][C]54.6[/C][C]54.691032689381[/C][C]-1.84549880597178[/C][C]-0.0910326893809858[/C][C]1.15791625480893[/C][/ROW]
[ROW][C]35[/C][C]52.4[/C][C]52.4910312958245[/C][C]-2.04218009872663[/C][C]-0.0910312958245312[/C][C]-0.0515420342059423[/C][/ROW]
[ROW][C]36[/C][C]67.5[/C][C]67.59106129553[/C][C]7.46849617161482[/C][C]-0.0910612955300322[/C][C]2.49235504938546[/C][/ROW]
[ROW][C]37[/C][C]90.4[/C][C]88.2107732719322[/C][C]14.7050973228298[/C][C]2.18922672806783[/C][C]1.98834054118737[/C][/ROW]
[ROW][C]38[/C][C]126[/C][C]125.975338637739[/C][C]26.7965696264204[/C][C]0.024661362260549[/C][C]3.06685692427101[/C][/ROW]
[ROW][C]39[/C][C]144.3[/C][C]144.259289825136[/C][C]22.0561834938649[/C][C]0.0407101748640001[/C][C]-1.23102544647925[/C][/ROW]
[ROW][C]40[/C][C]167.8[/C][C]167.760502251157[/C][C]22.8581169415097[/C][C]0.0394977488433887[/C][C]0.209775989294691[/C][/ROW]
[ROW][C]41[/C][C]166.2[/C][C]166.151361297901[/C][C]9.28549649016169[/C][C]0.0486387020987823[/C][C]-3.5555553978508[/C][/ROW]
[ROW][C]42[/C][C]156[/C][C]155.948119391511[/C][C]-1.52574870628067[/C][C]0.0518806084888391[/C][C]-2.83298032131916[/C][/ROW]
[ROW][C]43[/C][C]137[/C][C]136.946825115271[/C][C]-11.2207454212739[/C][C]0.0531748847286753[/C][C]-2.54062226951529[/C][/ROW]
[ROW][C]44[/C][C]129.3[/C][C]129.246941208309[/C][C]-9.26739253084027[/C][C]0.0530587916911508[/C][C]0.511891617735143[/C][/ROW]
[ROW][C]45[/C][C]118[/C][C]117.94691137036[/C][C]-10.3951066250884[/C][C]0.0530886296396435[/C][C]-0.295527080098386[/C][/ROW]
[ROW][C]46[/C][C]114.7[/C][C]114.646957738365[/C][C]-6.45866061203279[/C][C]0.0530422616349623[/C][C]1.03157964859788[/C][/ROW]
[ROW][C]47[/C][C]112.8[/C][C]112.746971001336[/C][C]-3.92946388908883[/C][C]0.0530289986642865[/C][C]0.662797885707713[/C][/ROW]
[ROW][C]48[/C][C]115.7[/C][C]115.646979847077[/C][C]-0.140399737686842[/C][C]0.0530201529229617[/C][C]0.992957063824842[/C][/ROW]
[ROW][C]49[/C][C]103.9[/C][C]105.175167200256[/C][C]-5.83751667872533[/C][C]-1.2751672002558[/C][C]-1.54686712019771[/C][/ROW]
[ROW][C]50[/C][C]96.9[/C][C]96.803512337122[/C][C]-7.18246983836535[/C][C]0.0964876628779657[/C][C]-0.343901040884051[/C][/ROW]
[ROW][C]51[/C][C]88.8[/C][C]88.7021372494574[/C][C]-7.69378737865023[/C][C]0.0978627505425924[/C][C]-0.133032788874437[/C][/ROW]
[ROW][C]52[/C][C]93[/C][C]92.9100640959669[/C][C]-1.08917558181076[/C][C]0.0899359040330941[/C][C]1.72832693159199[/C][/ROW]
[ROW][C]53[/C][C]86.3[/C][C]86.2083996998191[/C][C]-4.20266718655179[/C][C]0.0916003001808561[/C][C]-0.815686680996882[/C][/ROW]
[ROW][C]54[/C][C]82.3[/C][C]82.2084264630687[/C][C]-4.09022124594914[/C][C]0.0915735369312853[/C][C]0.0294657805104185[/C][/ROW]
[ROW][C]55[/C][C]82.4[/C][C]82.3086728018168[/C][C]-1.76542298908408[/C][C]0.0913271981832016[/C][C]0.609226743596087[/C][/ROW]
[ROW][C]56[/C][C]76.6[/C][C]76.5085672083313[/C][C]-4.00385518010487[/C][C]0.0914327916686862[/C][C]-0.586599245216973[/C][/ROW]
[ROW][C]57[/C][C]72.7[/C][C]72.6085684184033[/C][C]-3.94623513100141[/C][C]0.0914315815966977[/C][C]0.0150998261747753[/C][/ROW]
[ROW][C]58[/C][C]67.5[/C][C]67.4085619149626[/C][C]-4.64183815887933[/C][C]0.0914380850374433[/C][C]-0.182288780491869[/C][/ROW]
[ROW][C]59[/C][C]77.3[/C][C]77.2085952647933[/C][C]3.37065778083926[/C][C]0.0914047352067063[/C][C]2.09974390033418[/C][/ROW]
[ROW][C]60[/C][C]73.7[/C][C]73.6085880985921[/C][C]-0.496742343627167[/C][C]0.0914119014078805[/C][C]-1.0134856846369[/C][/ROW]
[ROW][C]61[/C][C]73[/C][C]73.9603672662413[/C][C]-0.0282488430988107[/C][C]-0.960367266241257[/C][C]0.126302833910309[/C][/ROW]
[ROW][C]62[/C][C]78.2[/C][C]78.0863460233841[/C][C]2.19385261791704[/C][C]0.113653976615912[/C][C]0.570973643985889[/C][/ROW]
[ROW][C]63[/C][C]90.7[/C][C]90.5991474833965[/C][C]7.93287265957673[/C][C]0.100852516603487[/C][C]1.4950012489407[/C][/ROW]
[ROW][C]64[/C][C]91.5[/C][C]91.395206753305[/C][C]3.97258877124867[/C][C]0.104793246695019[/C][C]-1.03659938486176[/C][/ROW]
[ROW][C]65[/C][C]86.3[/C][C]86.1929511120917[/C][C]-1.11720286179593[/C][C]0.107048887908314[/C][C]-1.33351124590418[/C][/ROW]
[ROW][C]66[/C][C]86.8[/C][C]86.6931281520005[/C][C]-0.219934655384765[/C][C]0.106871847999509[/C][C]0.235125975509156[/C][/ROW]
[ROW][C]67[/C][C]86.1[/C][C]85.9931047556545[/C][C]-0.486281872985442[/C][C]0.106895244345514[/C][C]-0.0697979516514175[/C][/ROW]
[ROW][C]68[/C][C]77.1[/C][C]76.992920037146[/C][C]-5.20979470919002[/C][C]0.10707996285397[/C][C]-1.23783517719915[/C][/ROW]
[ROW][C]69[/C][C]75.7[/C][C]75.5929568362017[/C][C]-3.09607685801697[/C][C]0.107043163798287[/C][C]0.553917863898697[/C][/ROW]
[ROW][C]70[/C][C]78.7[/C][C]78.5929830499777[/C][C]0.28609597743558[/C][C]0.10701695002225[/C][C]0.88632761215434[/C][/ROW]
[ROW][C]71[/C][C]71.5[/C][C]71.3929687189079[/C][C]-3.86727514162355[/C][C]0.107031281092061[/C][C]-1.08842684779443[/C][/ROW]
[ROW][C]72[/C][C]69.6[/C][C]69.4929703955193[/C][C]-2.77580854491806[/C][C]0.107029604480722[/C][C]0.286028271206013[/C][/ROW]
[ROW][C]73[/C][C]73.6[/C][C]74.4364353846981[/C][C]1.48975406184796[/C][C]-0.836435384698117[/C][C]1.14453610628337[/C][/ROW]
[ROW][C]74[/C][C]78.1[/C][C]78.0126794964928[/C][C]2.61194940040348[/C][C]0.0873205035071659[/C][C]0.289296648904364[/C][/ROW]
[ROW][C]75[/C][C]78.3[/C][C]78.2101215083232[/C][C]1.26956576862006[/C][C]0.0898784916767702[/C][C]-0.349993243519532[/C][/ROW]
[ROW][C]76[/C][C]71.5[/C][C]71.4063144502885[/C][C]-3.21030823154873[/C][C]0.093685549711524[/C][C]-1.17280411832219[/C][/ROW]
[ROW][C]77[/C][C]68.7[/C][C]68.6064006144885[/C][C]-2.98263648010915[/C][C]0.0935993855114931[/C][C]0.059651408005526[/C][/ROW]
[ROW][C]78[/C][C]61.2[/C][C]61.1059783033732[/C][C]-5.48898235193314[/C][C]0.0940216966268146[/C][C]-0.656783571660964[/C][/ROW]
[ROW][C]79[/C][C]64.7[/C][C]64.6063524134892[/C][C]-0.501768670671522[/C][C]0.0936475865107851[/C][C]1.30693224703366[/C][/ROW]
[ROW][C]80[/C][C]64.6[/C][C]64.5063598575266[/C][C]-0.278862634423114[/C][C]0.0936401424733751[/C][C]0.0584143657481405[/C][/ROW]
[ROW][C]81[/C][C]56.3[/C][C]56.2062936949508[/C][C]-4.72908160385298[/C][C]0.0937063050491924[/C][C]-1.1662180523733[/C][/ROW]
[ROW][C]82[/C][C]54.5[/C][C]54.4063044509801[/C][C]-3.10399379735032[/C][C]0.0936955490198961[/C][C]0.425868304263581[/C][/ROW]
[ROW][C]83[/C][C]49.5[/C][C]49.4063013513895[/C][C]-4.15591958314171[/C][C]0.0936986486104564[/C][C]-0.275666256806359[/C][/ROW]
[ROW][C]84[/C][C]54[/C][C]53.9063076511185[/C][C]0.646482931118255[/C][C]0.0936923488815232[/C][C]1.25851115691523[/C][/ROW]
[ROW][C]85[/C][C]59.2[/C][C]60.0241584573591[/C][C]3.67165624309453[/C][C]-0.824158457359051[/C][C]0.808976312459553[/C][/ROW]
[ROW][C]86[/C][C]52.4[/C][C]52.3783985059504[/C][C]-2.43998635130395[/C][C]0.0216014940496166[/C][C]-1.57925046842773[/C][/ROW]
[ROW][C]87[/C][C]52.8[/C][C]52.7810263491983[/C][C]-0.860008099925615[/C][C]0.0189736508016634[/C][C]0.412208190835022[/C][/ROW]
[ROW][C]88[/C][C]47.8[/C][C]47.7793221071172[/C][C]-3.15817035368104[/C][C]0.0206778928827505[/C][C]-0.601722561036135[/C][/ROW]
[ROW][C]89[/C][C]45.2[/C][C]45.1794243856214[/C][C]-2.84845776511071[/C][C]0.0205756143786131[/C][C]0.0811486856708776[/C][/ROW]
[ROW][C]90[/C][C]47.1[/C][C]47.0798117348622[/C][C]-0.213903254095438[/C][C]0.0201882651378469[/C][C]0.690383913491968[/C][/ROW]
[ROW][C]91[/C][C]42.6[/C][C]42.579656083156[/C][C]-2.59188846918808[/C][C]0.0203439168440039[/C][C]-0.623167338314587[/C][/ROW]
[ROW][C]92[/C][C]42.1[/C][C]42.0796899031918[/C][C]-1.43128401215793[/C][C]0.0203100968081996[/C][C]0.304146033232112[/C][/ROW]
[ROW][C]93[/C][C]39.4[/C][C]39.3796807716537[/C][C]-2.13518217044185[/C][C]0.0203192283462835[/C][C]-0.184462557276178[/C][/ROW]
[ROW][C]94[/C][C]39.6[/C][C]39.5796882541127[/C][C]-0.839596534345722[/C][C]0.0203117458872966[/C][C]0.339519415486168[/C][/ROW]
[ROW][C]95[/C][C]37.8[/C][C]37.7796868841102[/C][C]-1.37243928977067[/C][C]0.0203131158898241[/C][C]-0.139636056141562[/C][/ROW]
[ROW][C]96[/C][C]36.8[/C][C]36.7796871206298[/C][C]-1.16580574100831[/C][C]0.0203128793701822[/C][C]0.0541501104536601[/C][/ROW]
[ROW][C]97[/C][C]36.5[/C][C]36.6880579730944[/C][C]-0.57162340993425[/C][C]-0.188057973094414[/C][C]0.158491209446109[/C][/ROW]
[ROW][C]98[/C][C]34[/C][C]33.9917737256624[/C][C]-1.72256493967873[/C][C]0.00822627433764428[/C][C]-0.297927483671797[/C][/ROW]
[ROW][C]99[/C][C]37.5[/C][C]37.4960595850099[/C][C]1.18202163452419[/C][C]0.00394041499009665[/C][C]0.758173211245135[/C][/ROW]
[ROW][C]100[/C][C]36.1[/C][C]36.0951168361119[/C][C]-0.251203509285308[/C][C]0.00488316388805513[/C][C]-0.375295458107339[/C][/ROW]
[ROW][C]101[/C][C]35.1[/C][C]35.0949951356151[/C][C]-0.666683974299292[/C][C]0.00500486438494313[/C][C]-0.108863380854059[/C][/ROW]
[ROW][C]102[/C][C]32.8[/C][C]32.7948769587113[/C][C]-1.57288340591145[/C][C]0.00512304128867397[/C][C]-0.237470113428783[/C][/ROW]
[ROW][C]103[/C][C]32.2[/C][C]32.1949082962747[/C][C]-1.03311461700702[/C][C]0.00509170372534012[/C][C]0.141450223602643[/C][/ROW]
[ROW][C]104[/C][C]38.1[/C][C]38.0950077168979[/C][C]2.81345898478261[/C][C]0.00499228310211163[/C][C]1.00802670133569[/C][/ROW]
[ROW][C]105[/C][C]41.4[/C][C]41.3950108229701[/C][C]3.08339750640141[/C][C]0.0049891770298659[/C][C]0.0707397099087507[/C][/ROW]
[ROW][C]106[/C][C]38.5[/C][C]38.4949938176814[/C][C]-0.236259492366866[/C][C]0.00500618231864508[/C][C]-0.869944818189474[/C][/ROW]
[ROW][C]107[/C][C]34.6[/C][C]34.5949891820923[/C][C]-2.26894435411901[/C][C]0.00501081790774651[/C][C]-0.532682662799963[/C][/ROW]
[ROW][C]108[/C][C]31.2[/C][C]31.1949885449913[/C][C]-2.89646687481182[/C][C]0.0050114550087273[/C][C]-0.164447709576994[/C][/ROW]
[ROW][C]109[/C][C]34.7[/C][C]34.5717762516392[/C][C]0.574766722422654[/C][C]0.128223748360838[/C][C]0.924089456100926[/C][/ROW]
[ROW][C]110[/C][C]35.8[/C][C]35.8091733015798[/C][C]0.934605690698681[/C][C]-0.00917330157977408[/C][C]0.0932738964515942[/C][/ROW]
[ROW][C]111[/C][C]33.8[/C][C]33.8070097693404[/C][C]-0.697104892249737[/C][C]-0.00700976934043372[/C][C]-0.426090078563015[/C][/ROW]
[ROW][C]112[/C][C]32.5[/C][C]32.5068119961565[/C][C]-1.03174274137318[/C][C]-0.0068119961564833[/C][C]-0.087633153654524[/C][/ROW]
[ROW][C]113[/C][C]31.2[/C][C]31.2067728242445[/C][C]-1.18058768306902[/C][C]-0.00677282424445799[/C][C]-0.0390006749936115[/C][/ROW]
[ROW][C]114[/C][C]32.5[/C][C]32.5069340790791[/C][C]0.195693938902735[/C][C]-0.00693407907907933[/C][C]0.360656562809303[/C][/ROW]
[ROW][C]115[/C][C]32.3[/C][C]32.3069226276468[/C][C]-0.0238422928188129[/C][C]-0.00692262764677092[/C][C]-0.0575310557033674[/C][/ROW]
[ROW][C]116[/C][C]30.1[/C][C]30.1068945904563[/C][C]-1.23120011399551[/C][C]-0.00689459045634486[/C][C]-0.316398227853732[/C][/ROW]
[ROW][C]117[/C][C]25.3[/C][C]25.3068741208107[/C][C]-3.21121109074682[/C][C]-0.00687412081066916[/C][C]-0.518878908695527[/C][/ROW]
[ROW][C]118[/C][C]24.5[/C][C]24.5068802777861[/C][C]-1.87344375360936[/C][C]-0.00688027778612152[/C][C]0.350573498683196[/C][/ROW]
[ROW][C]119[/C][C]23.7[/C][C]23.7068814980551[/C][C]-1.27788496278451[/C][C]-0.00688149805505515[/C][C]0.156071336399692[/C][/ROW]
[ROW][C]120[/C][C]23.8[/C][C]23.8068821953769[/C][C]-0.513418733276352[/C][C]-0.00688219537694046[/C][C]0.200334994155345[/C][/ROW]
[ROW][C]121[/C][C]26.9[/C][C]26.7339272089189[/C][C]1.39083580570829[/C][C]0.16607279108106[/C][C]0.50614060316689[/C][/ROW]
[ROW][C]122[/C][C]32.4[/C][C]32.4005596186546[/C][C]3.71745895068945[/C][C]-0.000559618654626792[/C][C]0.603745220791178[/C][/ROW]
[ROW][C]123[/C][C]32.6[/C][C]32.5982055773027[/C][C]1.76206146396655[/C][C]0.00179442269733776[/C][C]-0.510781779555395[/C][/ROW]
[ROW][C]124[/C][C]31.7[/C][C]31.6974128279423[/C][C]0.284539132319599[/C][C]0.00258717205766074[/C][C]-0.386950636701218[/C][/ROW]
[ROW][C]125[/C][C]34.1[/C][C]34.0976932581161[/C][C]1.45831225307761[/C][C]0.00230674188386363[/C][C]0.30755853089715[/C][/ROW]
[ROW][C]126[/C][C]34.9[/C][C]34.8976544084398[/C][C]1.09306750013425[/C][C]0.00234559156019304[/C][C]-0.0957131521477189[/C][/ROW]
[ROW][C]127[/C][C]33.1[/C][C]33.0975784009391[/C][C]-0.512044121162899[/C][C]0.00242159906086601[/C][C]-0.420631309595004[/C][/ROW]
[ROW][C]128[/C][C]32.3[/C][C]32.297575032974[/C][C]-0.671805410483591[/C][C]0.00242496702595796[/C][C]-0.0418667879439563[/C][/ROW]
[ROW][C]129[/C][C]34.6[/C][C]34.5975905070958[/C][C]0.976986186043523[/C][C]0.00240949290416268[/C][C]0.432080029485012[/C][/ROW]
[ROW][C]130[/C][C]32.7[/C][C]32.697583837992[/C][C]-0.619198467613463[/C][C]0.00241616200801321[/C][C]-0.418293992713803[/C][/ROW]
[ROW][C]131[/C][C]32.6[/C][C]32.5975843737975[/C][C]-0.331141258856986[/C][C]0.00241562620249908[/C][C]0.0754878850883823[/C][/ROW]
[ROW][C]132[/C][C]41[/C][C]40.9975883851319[/C][C]4.51299509294626[/C][C]0.00241161486812789[/C][C]1.26944787149091[/C][/ROW]
[ROW][C]133[/C][C]40[/C][C]40.154277338662[/C][C]1.54769311963504[/C][C]-0.154277338661983[/C][C]-0.787146587211588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148780&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148780&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
1127127000
2128.7128.6277791052190.3833575302874770.07222089478136470.190589315255509
3127.3127.208475914345-0.5905193589185180.0915240856554528-0.261814842687197
4136.7136.6568053764454.935001776773240.04319462355479031.4553803201366
5133.8133.7399187603940.5907498910486750.060081239605609-1.13959552770475
6137.2137.1426146651642.149162141367960.0573853348359170.408476928531152
7147.4147.346054301156.61574959336670.05394569885041891.17055421103144
8137.6137.542931971083-2.49185076226060.0570680289167947-2.38674423945427
9123.6123.541957501763-8.876696568839990.0580424982367176-1.67320672558731
10117.4117.342058405211-7.391635189626140.05794159478918240.389173312496358
11113.7113.642120359266-5.343474130218110.05787964073447050.536738372152765
12106.8106.742108730024-6.207052356884110.0578912699757115-0.226308154233243
13103.3103.156703446964-4.791833699738390.1432965530359690.428270717139422
1496.396.3544677470232-5.77713414729819-0.0544677470231979-0.235503040913116
1596.296.2768397818681-2.59060349357516-0.076839781868150.819386291384987
1694.794.7787475967923-1.98412750154993-0.07874759679231840.158337994280474
1794.694.6802140768727-0.938314177477393-0.08021407687271080.273861113635944
1895.795.78092028389710.192668155360484-0.08092028389711610.296340124762483
19106.7106.7825872000296.1888063041347-0.08258720002875981.57129411627298
20100.2100.281715919158-0.85111262223304-0.0817159191584022-1.8448610509922
2194.294.2815585228665-3.70777584068106-0.0815585228665267-0.748612473351258
2297.697.68165525234050.235699484148239-0.08165525234049561.03342161851178
2394.394.3816338311054-1.72594680595245-0.0816338311053765-0.514066371901746
249898.08164846597191.28443013174302-0.0816484659719220.788895334512656
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Parameters (Session):
par1 = multiplicative ; par2 = 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')