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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, 07 Dec 2016 17:21:14 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/07/t1481128064muluufznz5xww37.htm/, Retrieved Tue, 07 May 2024 06:04:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298248, Retrieved Tue, 07 May 2024 06:04:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [forecasting N2323] [2016-12-07 16:21:14] [8263efc94e08b372ab727a2b95bd56b1] [Current]
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Dataseries X:
5963
5957
5920
5923
5943
5953
5966
5995
6027
6035
6083
6124
6150
6220
6279
6346
6414
6439
6495
6568
6604
6646
6691
6717
6719
6746
6740
6748
6753
6782
6788
6794
6816
6842
6855
6860
6873
6908
6962
6998
6996
7002
7019
6999
6979
6994
6973
6938
6974
6986
7015
7031
7073
7086
7083
7072
7102
7163
7193
7242
7258
7287
7301
7315
7333
7365
7375
7419
7436
7438
7455
7511
7559
7593
7609
7623
7664
7692
7740
7767
7743
7798
7842
7837
7830
7818
7830
7860
7913
7900
7934
7943
7935
7930
7943
7906
7961
7949
7886
7877
7853
7833
7829
7825
7851
7862
7864
7893
7867
7869
7871
7891
7876
7904
7930




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298248&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298248&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298248&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
159635963000
259575957.30180873667-0.497806497171495-0.301808736674092-0.166435545624309
359205920.27227174646-6.55198020886214-0.272271746462643-1.65185942241202
459235923.2783577892-4.52074184219617-0.2783577891961620.419963224047122
559435943.290221748141.37964093284956-0.2902217481364231.05875394550958
659535953.293323062893.59012123487147-0.2933230628915340.368317029416611
759665966.295811102416.08428981263248-0.2958111024127520.399709637883981
859955995.30023609512.2644765431831-0.3002360949985360.970332381038435
960276027.3030098410817.63560048968-0.303009841079840.834261642597502
1060356035.3020259255715.0006724198711-0.302025925566599-0.406952278286264
1160836083.3044718008624.0472552217368-0.3044718008597161.39304261490147
1261246124.3053833980328.7008882201107-0.3053833980295840.71546945866304
1361506148.4413768827427.49039897487411.5586231172591-0.223302467993252
1462206219.1774205816238.75813235189010.822579418378041.52302967059176
1562796278.2037997970644.33905885113330.7962002029371390.85357361654138
1663466345.2251791028150.57829900127660.7748208971875670.955833516653742
1764146413.2370933474655.37152646314820.7629066525354550.734945137149328
1864396438.2220353928447.01861643939290.777964607162225-1.28133454979537
1964956494.2252638808649.48821856083220.774736119138440.378927167224156
2065686567.2313918345955.95254544459650.7686081654109620.991988762043756
2166046603.2276212262850.4670998567250.772378773721615-0.841829435735743
2266466645.2264610184748.13935392392530.773538981525274-0.357242310523075
2366916690.226149106647.27630683235510.773850893395341-0.132455426200384
2467176716.2246163269741.42723512792230.775383673029445-0.897689995763913
2567196732.2344055450634.545991442957-13.2344055450565-1.15723426552666
2667466745.1074751320428.79023694194670.892524867959833-0.821382960937928
2767406739.0776994933919.20613614969090.922300506612404-1.46728929604483
2867486747.0707453354716.12209752568510.929254664533269-0.472711601201926
2967536752.0657418396813.06278137708080.934258160317073-0.469212966321446
3067826781.070939916417.44537525844250.9290600836013880.672385596094608
3167886787.0682332967714.29845175067850.931766703234472-0.482889506864821
3267946793.0668103987612.01695246080880.933189601242975-0.350123321826799
3368166815.0680515534114.76148961167180.9319484465884020.421201960661977
3468426841.0690646737217.85111365136280.9309353262780580.474173981012483
3568556854.068747581916.51748918547220.931252418100018-0.204678074925108
3668606859.068201706313.3512231288080.931798293696412-0.485946170208468
3768736882.0816355026915.9811091994557-9.081635502685130.429142325920329
3869086907.0791135028418.39771454045950.9208864971594740.352415518222167
3969626961.1017072976428.20021992679390.8982927023559451.50169397692397
4069986997.1052908710930.34618457422950.8947091289114030.329038112602711
4169966995.0945167990321.45016611567780.905483200971549-1.36464191168685
4270027001.0907856185617.20184191360720.90921438143602-0.651846757872401
4370197018.0907502759817.1463474670980.909249724021095-0.00851593810243785
4469996998.086034141666.93389783196480.913965858337963-1.56726298277537
4569796978.0835546811-0.4706784676731450.916445318897177-1.13638997959289
4669946993.084587342293.782402308822580.9154126577050260.652737890742291
4769736972.0833878879-3.030530938845360.916612112103988-1.04561917184504
4869386937.08226595131-11.8192239206010.917734048690023-1.34885700365636
4969746979.249185788782.91276093854851-5.249185788776272.36773590341543
5069866985.49489816273.810847401504910.5051018373016010.132513122037213
5170157014.5075902452210.74405500463920.4924097547762021.06253548337574
5270317030.5095070186112.18988808035070.4904929813916250.221732056920394
5370737072.5173887378520.3876992735090.48261126214831.25766946778724
5470867085.5159725186218.35640163006830.484027481380101-0.311691805431528
5570837082.5130040857612.48481248796250.486995914235094-0.901054850053788
5670727071.510637231876.028339476879270.48936276812952-0.990863684879363
5771027101.5123889794612.6185030704110.4876110205386081.01140910953999
5871637162.5149525412825.91912758570690.4850474587161142.04131044022152
5971937192.5151093281427.04099862956020.4848906718569350.172180238552021
6072427241.5157210611833.07771859520610.4842789388158260.926495158104556
6172587264.0776704447830.2037704130985-6.07767044478085-0.457695682093695
6272877286.5013538193428.10006727512540.498646180655591-0.312692541733992
6373017300.495480644624.21990342446710.504519355402135-0.594795701015104
6473157314.49239084921.40886888684220.507609150995332-0.431155136179563
6573337332.4916436432420.47148088782680.508356356760267-0.14381957150029
6673657364.4934758411923.64122806262090.5065241588122820.486398484880603
6773757374.4919039124619.89085838206450.508096087544428-0.575543217361663
6874197418.4939183217826.51891678519450.5060816782223231.01720680667116
6974367435.4933416306223.90203755414940.506658369380009-0.401621207547385
7074387437.4923795050717.88093203528130.507620494933505-0.924090417349818
7174557454.4923514454317.63875565000720.507648554566397-0.037168308107762
7275117510.4932374278128.18458769692170.5067625721901851.61853951796147
7375597563.1259926647534.8729309694991-4.125992664746241.05866550242389
7475937592.6564521032933.42480666523870.343547896707653-0.216335309397166
7576097608.6502654988828.63043144179740.349734501116333-0.735066461596924
7676237622.6464881285524.60657414846790.353511871453564-0.617234718369878
7776647663.6495568387929.1143359643490.3504431612145410.691641109715837
7876927691.6494055959528.80795776395670.350594404053314-0.0470150190524727
7977407739.6512942927634.08434747922730.3487057072348490.809741870808278
8077677766.6507887842332.13673818363160.349211215765179-0.298901335948613
8177437742.6478843194616.70403652738660.3521156805368-2.36851718640179
8277987797.6493210114827.23199109153250.3506789885190111.61578318269949
8378427841.6497771373131.84166822590330.3502228626868060.707476398952219
8478377836.6490504704621.71358519139260.350949529540543-1.55442562152628
8578307835.0413728170815.3290074705236-5.04137281708463-1.0061664901535
8678187817.70988728816.459985214774880.290112711898957-1.32981436283939
8778307829.711624937997.984138286834880.2883750620146750.233711686395214
8878607859.7165848914914.03888280517790.2834151085100440.928824582540731
8979137912.7229489196624.75183921653810.2770510803424021.64378496019902
9079007899.7184778239114.37242524275840.281522176086155-1.59279509649043
9179347933.7201633142819.76850844095060.2798366857191350.828118989214519
9279437942.71949280716.80807294142960.280507192997326-0.454343083140173
9379357934.718372771829.988034859122180.281627228177609-1.04670087891076
9479307929.71788211795.867674865324040.282117882095229-0.632375271981801
9579437942.718051416877.828414211014640.2819485831276540.300927340204164
9679067905.71727985724-4.495287967778030.282720142764177-1.89140295407617
9779617961.4472311285312.0010772909573-0.4472311285296042.59117462423789
9879497949.070611920765.3719742770576-0.0706119207633796-0.996741130547431
9978867886.0517958352-13.4366525182671-0.0517958352017754-2.88438513376443
10078777877.05268240961-12.216551006199-0.05268240960943690.187179008602377
10178537853.05097516842-15.45651411704-0.0509751684169608-0.497150613526178
10278337833.05049787125-16.7056753228143-0.0504978712526562-0.191695538269138
10378297829.05146566382-13.212608419299-0.05146566382151960.536073570444198
10478257825.05197447427-10.6799234911026-0.05197447426652510.388697067030046
10578517851.05344337625-0.596188956603678-0.05344337624554511.54759789013274
10678627862.053780098472.59171579506418-0.05378009846666570.489266574200323
10778647864.053767640062.42904796403866-0.0537676400646912-0.0249656982691738
10878937893.054173288019.73362072316717-0.05417328801200971.12108314707064
10978677867.777773607720.140057846906165-0.777773607716558-1.50305642265142
11078697868.925115355920.4142772834567950.0748846440839160.0413217828884323
11178717870.925561202550.8504829190478860.07443879745076710.0668994810538982
11278917890.92899929966.116506116222120.07100070040257770.807909124891987
11378767875.926250467840.3104464365896250.0737495321604291-0.890920951056447
11479047903.92886395827.923185506028950.07113604179541161.16826023215864
11579307929.9301010803212.89286960482770.06989891968282660.762691619107901

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 5963 & 5963 & 0 & 0 & 0 \tabularnewline
2 & 5957 & 5957.30180873667 & -0.497806497171495 & -0.301808736674092 & -0.166435545624309 \tabularnewline
3 & 5920 & 5920.27227174646 & -6.55198020886214 & -0.272271746462643 & -1.65185942241202 \tabularnewline
4 & 5923 & 5923.2783577892 & -4.52074184219617 & -0.278357789196162 & 0.419963224047122 \tabularnewline
5 & 5943 & 5943.29022174814 & 1.37964093284956 & -0.290221748136423 & 1.05875394550958 \tabularnewline
6 & 5953 & 5953.29332306289 & 3.59012123487147 & -0.293323062891534 & 0.368317029416611 \tabularnewline
7 & 5966 & 5966.29581110241 & 6.08428981263248 & -0.295811102412752 & 0.399709637883981 \tabularnewline
8 & 5995 & 5995.300236095 & 12.2644765431831 & -0.300236094998536 & 0.970332381038435 \tabularnewline
9 & 6027 & 6027.30300984108 & 17.63560048968 & -0.30300984107984 & 0.834261642597502 \tabularnewline
10 & 6035 & 6035.30202592557 & 15.0006724198711 & -0.302025925566599 & -0.406952278286264 \tabularnewline
11 & 6083 & 6083.30447180086 & 24.0472552217368 & -0.304471800859716 & 1.39304261490147 \tabularnewline
12 & 6124 & 6124.30538339803 & 28.7008882201107 & -0.305383398029584 & 0.71546945866304 \tabularnewline
13 & 6150 & 6148.44137688274 & 27.4903989748741 & 1.5586231172591 & -0.223302467993252 \tabularnewline
14 & 6220 & 6219.17742058162 & 38.7581323518901 & 0.82257941837804 & 1.52302967059176 \tabularnewline
15 & 6279 & 6278.20379979706 & 44.3390588511333 & 0.796200202937139 & 0.85357361654138 \tabularnewline
16 & 6346 & 6345.22517910281 & 50.5782990012766 & 0.774820897187567 & 0.955833516653742 \tabularnewline
17 & 6414 & 6413.23709334746 & 55.3715264631482 & 0.762906652535455 & 0.734945137149328 \tabularnewline
18 & 6439 & 6438.22203539284 & 47.0186164393929 & 0.777964607162225 & -1.28133454979537 \tabularnewline
19 & 6495 & 6494.22526388086 & 49.4882185608322 & 0.77473611913844 & 0.378927167224156 \tabularnewline
20 & 6568 & 6567.23139183459 & 55.9525454445965 & 0.768608165410962 & 0.991988762043756 \tabularnewline
21 & 6604 & 6603.22762122628 & 50.467099856725 & 0.772378773721615 & -0.841829435735743 \tabularnewline
22 & 6646 & 6645.22646101847 & 48.1393539239253 & 0.773538981525274 & -0.357242310523075 \tabularnewline
23 & 6691 & 6690.2261491066 & 47.2763068323551 & 0.773850893395341 & -0.132455426200384 \tabularnewline
24 & 6717 & 6716.22461632697 & 41.4272351279223 & 0.775383673029445 & -0.897689995763913 \tabularnewline
25 & 6719 & 6732.23440554506 & 34.545991442957 & -13.2344055450565 & -1.15723426552666 \tabularnewline
26 & 6746 & 6745.10747513204 & 28.7902369419467 & 0.892524867959833 & -0.821382960937928 \tabularnewline
27 & 6740 & 6739.07769949339 & 19.2061361496909 & 0.922300506612404 & -1.46728929604483 \tabularnewline
28 & 6748 & 6747.07074533547 & 16.1220975256851 & 0.929254664533269 & -0.472711601201926 \tabularnewline
29 & 6753 & 6752.06574183968 & 13.0627813770808 & 0.934258160317073 & -0.469212966321446 \tabularnewline
30 & 6782 & 6781.0709399164 & 17.4453752584425 & 0.929060083601388 & 0.672385596094608 \tabularnewline
31 & 6788 & 6787.06823329677 & 14.2984517506785 & 0.931766703234472 & -0.482889506864821 \tabularnewline
32 & 6794 & 6793.06681039876 & 12.0169524608088 & 0.933189601242975 & -0.350123321826799 \tabularnewline
33 & 6816 & 6815.06805155341 & 14.7614896116718 & 0.931948446588402 & 0.421201960661977 \tabularnewline
34 & 6842 & 6841.06906467372 & 17.8511136513628 & 0.930935326278058 & 0.474173981012483 \tabularnewline
35 & 6855 & 6854.0687475819 & 16.5174891854722 & 0.931252418100018 & -0.204678074925108 \tabularnewline
36 & 6860 & 6859.0682017063 & 13.351223128808 & 0.931798293696412 & -0.485946170208468 \tabularnewline
37 & 6873 & 6882.08163550269 & 15.9811091994557 & -9.08163550268513 & 0.429142325920329 \tabularnewline
38 & 6908 & 6907.07911350284 & 18.3977145404595 & 0.920886497159474 & 0.352415518222167 \tabularnewline
39 & 6962 & 6961.10170729764 & 28.2002199267939 & 0.898292702355945 & 1.50169397692397 \tabularnewline
40 & 6998 & 6997.10529087109 & 30.3461845742295 & 0.894709128911403 & 0.329038112602711 \tabularnewline
41 & 6996 & 6995.09451679903 & 21.4501661156778 & 0.905483200971549 & -1.36464191168685 \tabularnewline
42 & 7002 & 7001.09078561856 & 17.2018419136072 & 0.90921438143602 & -0.651846757872401 \tabularnewline
43 & 7019 & 7018.09075027598 & 17.146347467098 & 0.909249724021095 & -0.00851593810243785 \tabularnewline
44 & 6999 & 6998.08603414166 & 6.9338978319648 & 0.913965858337963 & -1.56726298277537 \tabularnewline
45 & 6979 & 6978.0835546811 & -0.470678467673145 & 0.916445318897177 & -1.13638997959289 \tabularnewline
46 & 6994 & 6993.08458734229 & 3.78240230882258 & 0.915412657705026 & 0.652737890742291 \tabularnewline
47 & 6973 & 6972.0833878879 & -3.03053093884536 & 0.916612112103988 & -1.04561917184504 \tabularnewline
48 & 6938 & 6937.08226595131 & -11.819223920601 & 0.917734048690023 & -1.34885700365636 \tabularnewline
49 & 6974 & 6979.24918578878 & 2.91276093854851 & -5.24918578877627 & 2.36773590341543 \tabularnewline
50 & 6986 & 6985.4948981627 & 3.81084740150491 & 0.505101837301601 & 0.132513122037213 \tabularnewline
51 & 7015 & 7014.50759024522 & 10.7440550046392 & 0.492409754776202 & 1.06253548337574 \tabularnewline
52 & 7031 & 7030.50950701861 & 12.1898880803507 & 0.490492981391625 & 0.221732056920394 \tabularnewline
53 & 7073 & 7072.51738873785 & 20.387699273509 & 0.4826112621483 & 1.25766946778724 \tabularnewline
54 & 7086 & 7085.51597251862 & 18.3564016300683 & 0.484027481380101 & -0.311691805431528 \tabularnewline
55 & 7083 & 7082.51300408576 & 12.4848124879625 & 0.486995914235094 & -0.901054850053788 \tabularnewline
56 & 7072 & 7071.51063723187 & 6.02833947687927 & 0.48936276812952 & -0.990863684879363 \tabularnewline
57 & 7102 & 7101.51238897946 & 12.618503070411 & 0.487611020538608 & 1.01140910953999 \tabularnewline
58 & 7163 & 7162.51495254128 & 25.9191275857069 & 0.485047458716114 & 2.04131044022152 \tabularnewline
59 & 7193 & 7192.51510932814 & 27.0409986295602 & 0.484890671856935 & 0.172180238552021 \tabularnewline
60 & 7242 & 7241.51572106118 & 33.0777185952061 & 0.484278938815826 & 0.926495158104556 \tabularnewline
61 & 7258 & 7264.07767044478 & 30.2037704130985 & -6.07767044478085 & -0.457695682093695 \tabularnewline
62 & 7287 & 7286.50135381934 & 28.1000672751254 & 0.498646180655591 & -0.312692541733992 \tabularnewline
63 & 7301 & 7300.4954806446 & 24.2199034244671 & 0.504519355402135 & -0.594795701015104 \tabularnewline
64 & 7315 & 7314.492390849 & 21.4088688868422 & 0.507609150995332 & -0.431155136179563 \tabularnewline
65 & 7333 & 7332.49164364324 & 20.4714808878268 & 0.508356356760267 & -0.14381957150029 \tabularnewline
66 & 7365 & 7364.49347584119 & 23.6412280626209 & 0.506524158812282 & 0.486398484880603 \tabularnewline
67 & 7375 & 7374.49190391246 & 19.8908583820645 & 0.508096087544428 & -0.575543217361663 \tabularnewline
68 & 7419 & 7418.49391832178 & 26.5189167851945 & 0.506081678222323 & 1.01720680667116 \tabularnewline
69 & 7436 & 7435.49334163062 & 23.9020375541494 & 0.506658369380009 & -0.401621207547385 \tabularnewline
70 & 7438 & 7437.49237950507 & 17.8809320352813 & 0.507620494933505 & -0.924090417349818 \tabularnewline
71 & 7455 & 7454.49235144543 & 17.6387556500072 & 0.507648554566397 & -0.037168308107762 \tabularnewline
72 & 7511 & 7510.49323742781 & 28.1845876969217 & 0.506762572190185 & 1.61853951796147 \tabularnewline
73 & 7559 & 7563.12599266475 & 34.8729309694991 & -4.12599266474624 & 1.05866550242389 \tabularnewline
74 & 7593 & 7592.65645210329 & 33.4248066652387 & 0.343547896707653 & -0.216335309397166 \tabularnewline
75 & 7609 & 7608.65026549888 & 28.6304314417974 & 0.349734501116333 & -0.735066461596924 \tabularnewline
76 & 7623 & 7622.64648812855 & 24.6065741484679 & 0.353511871453564 & -0.617234718369878 \tabularnewline
77 & 7664 & 7663.64955683879 & 29.114335964349 & 0.350443161214541 & 0.691641109715837 \tabularnewline
78 & 7692 & 7691.64940559595 & 28.8079577639567 & 0.350594404053314 & -0.0470150190524727 \tabularnewline
79 & 7740 & 7739.65129429276 & 34.0843474792273 & 0.348705707234849 & 0.809741870808278 \tabularnewline
80 & 7767 & 7766.65078878423 & 32.1367381836316 & 0.349211215765179 & -0.298901335948613 \tabularnewline
81 & 7743 & 7742.64788431946 & 16.7040365273866 & 0.3521156805368 & -2.36851718640179 \tabularnewline
82 & 7798 & 7797.64932101148 & 27.2319910915325 & 0.350678988519011 & 1.61578318269949 \tabularnewline
83 & 7842 & 7841.64977713731 & 31.8416682259033 & 0.350222862686806 & 0.707476398952219 \tabularnewline
84 & 7837 & 7836.64905047046 & 21.7135851913926 & 0.350949529540543 & -1.55442562152628 \tabularnewline
85 & 7830 & 7835.04137281708 & 15.3290074705236 & -5.04137281708463 & -1.0061664901535 \tabularnewline
86 & 7818 & 7817.7098872881 & 6.45998521477488 & 0.290112711898957 & -1.32981436283939 \tabularnewline
87 & 7830 & 7829.71162493799 & 7.98413828683488 & 0.288375062014675 & 0.233711686395214 \tabularnewline
88 & 7860 & 7859.71658489149 & 14.0388828051779 & 0.283415108510044 & 0.928824582540731 \tabularnewline
89 & 7913 & 7912.72294891966 & 24.7518392165381 & 0.277051080342402 & 1.64378496019902 \tabularnewline
90 & 7900 & 7899.71847782391 & 14.3724252427584 & 0.281522176086155 & -1.59279509649043 \tabularnewline
91 & 7934 & 7933.72016331428 & 19.7685084409506 & 0.279836685719135 & 0.828118989214519 \tabularnewline
92 & 7943 & 7942.719492807 & 16.8080729414296 & 0.280507192997326 & -0.454343083140173 \tabularnewline
93 & 7935 & 7934.71837277182 & 9.98803485912218 & 0.281627228177609 & -1.04670087891076 \tabularnewline
94 & 7930 & 7929.7178821179 & 5.86767486532404 & 0.282117882095229 & -0.632375271981801 \tabularnewline
95 & 7943 & 7942.71805141687 & 7.82841421101464 & 0.281948583127654 & 0.300927340204164 \tabularnewline
96 & 7906 & 7905.71727985724 & -4.49528796777803 & 0.282720142764177 & -1.89140295407617 \tabularnewline
97 & 7961 & 7961.44723112853 & 12.0010772909573 & -0.447231128529604 & 2.59117462423789 \tabularnewline
98 & 7949 & 7949.07061192076 & 5.3719742770576 & -0.0706119207633796 & -0.996741130547431 \tabularnewline
99 & 7886 & 7886.0517958352 & -13.4366525182671 & -0.0517958352017754 & -2.88438513376443 \tabularnewline
100 & 7877 & 7877.05268240961 & -12.216551006199 & -0.0526824096094369 & 0.187179008602377 \tabularnewline
101 & 7853 & 7853.05097516842 & -15.45651411704 & -0.0509751684169608 & -0.497150613526178 \tabularnewline
102 & 7833 & 7833.05049787125 & -16.7056753228143 & -0.0504978712526562 & -0.191695538269138 \tabularnewline
103 & 7829 & 7829.05146566382 & -13.212608419299 & -0.0514656638215196 & 0.536073570444198 \tabularnewline
104 & 7825 & 7825.05197447427 & -10.6799234911026 & -0.0519744742665251 & 0.388697067030046 \tabularnewline
105 & 7851 & 7851.05344337625 & -0.596188956603678 & -0.0534433762455451 & 1.54759789013274 \tabularnewline
106 & 7862 & 7862.05378009847 & 2.59171579506418 & -0.0537800984666657 & 0.489266574200323 \tabularnewline
107 & 7864 & 7864.05376764006 & 2.42904796403866 & -0.0537676400646912 & -0.0249656982691738 \tabularnewline
108 & 7893 & 7893.05417328801 & 9.73362072316717 & -0.0541732880120097 & 1.12108314707064 \tabularnewline
109 & 7867 & 7867.77777360772 & 0.140057846906165 & -0.777773607716558 & -1.50305642265142 \tabularnewline
110 & 7869 & 7868.92511535592 & 0.414277283456795 & 0.074884644083916 & 0.0413217828884323 \tabularnewline
111 & 7871 & 7870.92556120255 & 0.850482919047886 & 0.0744387974507671 & 0.0668994810538982 \tabularnewline
112 & 7891 & 7890.9289992996 & 6.11650611622212 & 0.0710007004025777 & 0.807909124891987 \tabularnewline
113 & 7876 & 7875.92625046784 & 0.310446436589625 & 0.0737495321604291 & -0.890920951056447 \tabularnewline
114 & 7904 & 7903.9288639582 & 7.92318550602895 & 0.0711360417954116 & 1.16826023215864 \tabularnewline
115 & 7930 & 7929.93010108032 & 12.8928696048277 & 0.0698989196828266 & 0.762691619107901 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298248&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]5963[/C][C]5963[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]5957[/C][C]5957.30180873667[/C][C]-0.497806497171495[/C][C]-0.301808736674092[/C][C]-0.166435545624309[/C][/ROW]
[ROW][C]3[/C][C]5920[/C][C]5920.27227174646[/C][C]-6.55198020886214[/C][C]-0.272271746462643[/C][C]-1.65185942241202[/C][/ROW]
[ROW][C]4[/C][C]5923[/C][C]5923.2783577892[/C][C]-4.52074184219617[/C][C]-0.278357789196162[/C][C]0.419963224047122[/C][/ROW]
[ROW][C]5[/C][C]5943[/C][C]5943.29022174814[/C][C]1.37964093284956[/C][C]-0.290221748136423[/C][C]1.05875394550958[/C][/ROW]
[ROW][C]6[/C][C]5953[/C][C]5953.29332306289[/C][C]3.59012123487147[/C][C]-0.293323062891534[/C][C]0.368317029416611[/C][/ROW]
[ROW][C]7[/C][C]5966[/C][C]5966.29581110241[/C][C]6.08428981263248[/C][C]-0.295811102412752[/C][C]0.399709637883981[/C][/ROW]
[ROW][C]8[/C][C]5995[/C][C]5995.300236095[/C][C]12.2644765431831[/C][C]-0.300236094998536[/C][C]0.970332381038435[/C][/ROW]
[ROW][C]9[/C][C]6027[/C][C]6027.30300984108[/C][C]17.63560048968[/C][C]-0.30300984107984[/C][C]0.834261642597502[/C][/ROW]
[ROW][C]10[/C][C]6035[/C][C]6035.30202592557[/C][C]15.0006724198711[/C][C]-0.302025925566599[/C][C]-0.406952278286264[/C][/ROW]
[ROW][C]11[/C][C]6083[/C][C]6083.30447180086[/C][C]24.0472552217368[/C][C]-0.304471800859716[/C][C]1.39304261490147[/C][/ROW]
[ROW][C]12[/C][C]6124[/C][C]6124.30538339803[/C][C]28.7008882201107[/C][C]-0.305383398029584[/C][C]0.71546945866304[/C][/ROW]
[ROW][C]13[/C][C]6150[/C][C]6148.44137688274[/C][C]27.4903989748741[/C][C]1.5586231172591[/C][C]-0.223302467993252[/C][/ROW]
[ROW][C]14[/C][C]6220[/C][C]6219.17742058162[/C][C]38.7581323518901[/C][C]0.82257941837804[/C][C]1.52302967059176[/C][/ROW]
[ROW][C]15[/C][C]6279[/C][C]6278.20379979706[/C][C]44.3390588511333[/C][C]0.796200202937139[/C][C]0.85357361654138[/C][/ROW]
[ROW][C]16[/C][C]6346[/C][C]6345.22517910281[/C][C]50.5782990012766[/C][C]0.774820897187567[/C][C]0.955833516653742[/C][/ROW]
[ROW][C]17[/C][C]6414[/C][C]6413.23709334746[/C][C]55.3715264631482[/C][C]0.762906652535455[/C][C]0.734945137149328[/C][/ROW]
[ROW][C]18[/C][C]6439[/C][C]6438.22203539284[/C][C]47.0186164393929[/C][C]0.777964607162225[/C][C]-1.28133454979537[/C][/ROW]
[ROW][C]19[/C][C]6495[/C][C]6494.22526388086[/C][C]49.4882185608322[/C][C]0.77473611913844[/C][C]0.378927167224156[/C][/ROW]
[ROW][C]20[/C][C]6568[/C][C]6567.23139183459[/C][C]55.9525454445965[/C][C]0.768608165410962[/C][C]0.991988762043756[/C][/ROW]
[ROW][C]21[/C][C]6604[/C][C]6603.22762122628[/C][C]50.467099856725[/C][C]0.772378773721615[/C][C]-0.841829435735743[/C][/ROW]
[ROW][C]22[/C][C]6646[/C][C]6645.22646101847[/C][C]48.1393539239253[/C][C]0.773538981525274[/C][C]-0.357242310523075[/C][/ROW]
[ROW][C]23[/C][C]6691[/C][C]6690.2261491066[/C][C]47.2763068323551[/C][C]0.773850893395341[/C][C]-0.132455426200384[/C][/ROW]
[ROW][C]24[/C][C]6717[/C][C]6716.22461632697[/C][C]41.4272351279223[/C][C]0.775383673029445[/C][C]-0.897689995763913[/C][/ROW]
[ROW][C]25[/C][C]6719[/C][C]6732.23440554506[/C][C]34.545991442957[/C][C]-13.2344055450565[/C][C]-1.15723426552666[/C][/ROW]
[ROW][C]26[/C][C]6746[/C][C]6745.10747513204[/C][C]28.7902369419467[/C][C]0.892524867959833[/C][C]-0.821382960937928[/C][/ROW]
[ROW][C]27[/C][C]6740[/C][C]6739.07769949339[/C][C]19.2061361496909[/C][C]0.922300506612404[/C][C]-1.46728929604483[/C][/ROW]
[ROW][C]28[/C][C]6748[/C][C]6747.07074533547[/C][C]16.1220975256851[/C][C]0.929254664533269[/C][C]-0.472711601201926[/C][/ROW]
[ROW][C]29[/C][C]6753[/C][C]6752.06574183968[/C][C]13.0627813770808[/C][C]0.934258160317073[/C][C]-0.469212966321446[/C][/ROW]
[ROW][C]30[/C][C]6782[/C][C]6781.0709399164[/C][C]17.4453752584425[/C][C]0.929060083601388[/C][C]0.672385596094608[/C][/ROW]
[ROW][C]31[/C][C]6788[/C][C]6787.06823329677[/C][C]14.2984517506785[/C][C]0.931766703234472[/C][C]-0.482889506864821[/C][/ROW]
[ROW][C]32[/C][C]6794[/C][C]6793.06681039876[/C][C]12.0169524608088[/C][C]0.933189601242975[/C][C]-0.350123321826799[/C][/ROW]
[ROW][C]33[/C][C]6816[/C][C]6815.06805155341[/C][C]14.7614896116718[/C][C]0.931948446588402[/C][C]0.421201960661977[/C][/ROW]
[ROW][C]34[/C][C]6842[/C][C]6841.06906467372[/C][C]17.8511136513628[/C][C]0.930935326278058[/C][C]0.474173981012483[/C][/ROW]
[ROW][C]35[/C][C]6855[/C][C]6854.0687475819[/C][C]16.5174891854722[/C][C]0.931252418100018[/C][C]-0.204678074925108[/C][/ROW]
[ROW][C]36[/C][C]6860[/C][C]6859.0682017063[/C][C]13.351223128808[/C][C]0.931798293696412[/C][C]-0.485946170208468[/C][/ROW]
[ROW][C]37[/C][C]6873[/C][C]6882.08163550269[/C][C]15.9811091994557[/C][C]-9.08163550268513[/C][C]0.429142325920329[/C][/ROW]
[ROW][C]38[/C][C]6908[/C][C]6907.07911350284[/C][C]18.3977145404595[/C][C]0.920886497159474[/C][C]0.352415518222167[/C][/ROW]
[ROW][C]39[/C][C]6962[/C][C]6961.10170729764[/C][C]28.2002199267939[/C][C]0.898292702355945[/C][C]1.50169397692397[/C][/ROW]
[ROW][C]40[/C][C]6998[/C][C]6997.10529087109[/C][C]30.3461845742295[/C][C]0.894709128911403[/C][C]0.329038112602711[/C][/ROW]
[ROW][C]41[/C][C]6996[/C][C]6995.09451679903[/C][C]21.4501661156778[/C][C]0.905483200971549[/C][C]-1.36464191168685[/C][/ROW]
[ROW][C]42[/C][C]7002[/C][C]7001.09078561856[/C][C]17.2018419136072[/C][C]0.90921438143602[/C][C]-0.651846757872401[/C][/ROW]
[ROW][C]43[/C][C]7019[/C][C]7018.09075027598[/C][C]17.146347467098[/C][C]0.909249724021095[/C][C]-0.00851593810243785[/C][/ROW]
[ROW][C]44[/C][C]6999[/C][C]6998.08603414166[/C][C]6.9338978319648[/C][C]0.913965858337963[/C][C]-1.56726298277537[/C][/ROW]
[ROW][C]45[/C][C]6979[/C][C]6978.0835546811[/C][C]-0.470678467673145[/C][C]0.916445318897177[/C][C]-1.13638997959289[/C][/ROW]
[ROW][C]46[/C][C]6994[/C][C]6993.08458734229[/C][C]3.78240230882258[/C][C]0.915412657705026[/C][C]0.652737890742291[/C][/ROW]
[ROW][C]47[/C][C]6973[/C][C]6972.0833878879[/C][C]-3.03053093884536[/C][C]0.916612112103988[/C][C]-1.04561917184504[/C][/ROW]
[ROW][C]48[/C][C]6938[/C][C]6937.08226595131[/C][C]-11.819223920601[/C][C]0.917734048690023[/C][C]-1.34885700365636[/C][/ROW]
[ROW][C]49[/C][C]6974[/C][C]6979.24918578878[/C][C]2.91276093854851[/C][C]-5.24918578877627[/C][C]2.36773590341543[/C][/ROW]
[ROW][C]50[/C][C]6986[/C][C]6985.4948981627[/C][C]3.81084740150491[/C][C]0.505101837301601[/C][C]0.132513122037213[/C][/ROW]
[ROW][C]51[/C][C]7015[/C][C]7014.50759024522[/C][C]10.7440550046392[/C][C]0.492409754776202[/C][C]1.06253548337574[/C][/ROW]
[ROW][C]52[/C][C]7031[/C][C]7030.50950701861[/C][C]12.1898880803507[/C][C]0.490492981391625[/C][C]0.221732056920394[/C][/ROW]
[ROW][C]53[/C][C]7073[/C][C]7072.51738873785[/C][C]20.387699273509[/C][C]0.4826112621483[/C][C]1.25766946778724[/C][/ROW]
[ROW][C]54[/C][C]7086[/C][C]7085.51597251862[/C][C]18.3564016300683[/C][C]0.484027481380101[/C][C]-0.311691805431528[/C][/ROW]
[ROW][C]55[/C][C]7083[/C][C]7082.51300408576[/C][C]12.4848124879625[/C][C]0.486995914235094[/C][C]-0.901054850053788[/C][/ROW]
[ROW][C]56[/C][C]7072[/C][C]7071.51063723187[/C][C]6.02833947687927[/C][C]0.48936276812952[/C][C]-0.990863684879363[/C][/ROW]
[ROW][C]57[/C][C]7102[/C][C]7101.51238897946[/C][C]12.618503070411[/C][C]0.487611020538608[/C][C]1.01140910953999[/C][/ROW]
[ROW][C]58[/C][C]7163[/C][C]7162.51495254128[/C][C]25.9191275857069[/C][C]0.485047458716114[/C][C]2.04131044022152[/C][/ROW]
[ROW][C]59[/C][C]7193[/C][C]7192.51510932814[/C][C]27.0409986295602[/C][C]0.484890671856935[/C][C]0.172180238552021[/C][/ROW]
[ROW][C]60[/C][C]7242[/C][C]7241.51572106118[/C][C]33.0777185952061[/C][C]0.484278938815826[/C][C]0.926495158104556[/C][/ROW]
[ROW][C]61[/C][C]7258[/C][C]7264.07767044478[/C][C]30.2037704130985[/C][C]-6.07767044478085[/C][C]-0.457695682093695[/C][/ROW]
[ROW][C]62[/C][C]7287[/C][C]7286.50135381934[/C][C]28.1000672751254[/C][C]0.498646180655591[/C][C]-0.312692541733992[/C][/ROW]
[ROW][C]63[/C][C]7301[/C][C]7300.4954806446[/C][C]24.2199034244671[/C][C]0.504519355402135[/C][C]-0.594795701015104[/C][/ROW]
[ROW][C]64[/C][C]7315[/C][C]7314.492390849[/C][C]21.4088688868422[/C][C]0.507609150995332[/C][C]-0.431155136179563[/C][/ROW]
[ROW][C]65[/C][C]7333[/C][C]7332.49164364324[/C][C]20.4714808878268[/C][C]0.508356356760267[/C][C]-0.14381957150029[/C][/ROW]
[ROW][C]66[/C][C]7365[/C][C]7364.49347584119[/C][C]23.6412280626209[/C][C]0.506524158812282[/C][C]0.486398484880603[/C][/ROW]
[ROW][C]67[/C][C]7375[/C][C]7374.49190391246[/C][C]19.8908583820645[/C][C]0.508096087544428[/C][C]-0.575543217361663[/C][/ROW]
[ROW][C]68[/C][C]7419[/C][C]7418.49391832178[/C][C]26.5189167851945[/C][C]0.506081678222323[/C][C]1.01720680667116[/C][/ROW]
[ROW][C]69[/C][C]7436[/C][C]7435.49334163062[/C][C]23.9020375541494[/C][C]0.506658369380009[/C][C]-0.401621207547385[/C][/ROW]
[ROW][C]70[/C][C]7438[/C][C]7437.49237950507[/C][C]17.8809320352813[/C][C]0.507620494933505[/C][C]-0.924090417349818[/C][/ROW]
[ROW][C]71[/C][C]7455[/C][C]7454.49235144543[/C][C]17.6387556500072[/C][C]0.507648554566397[/C][C]-0.037168308107762[/C][/ROW]
[ROW][C]72[/C][C]7511[/C][C]7510.49323742781[/C][C]28.1845876969217[/C][C]0.506762572190185[/C][C]1.61853951796147[/C][/ROW]
[ROW][C]73[/C][C]7559[/C][C]7563.12599266475[/C][C]34.8729309694991[/C][C]-4.12599266474624[/C][C]1.05866550242389[/C][/ROW]
[ROW][C]74[/C][C]7593[/C][C]7592.65645210329[/C][C]33.4248066652387[/C][C]0.343547896707653[/C][C]-0.216335309397166[/C][/ROW]
[ROW][C]75[/C][C]7609[/C][C]7608.65026549888[/C][C]28.6304314417974[/C][C]0.349734501116333[/C][C]-0.735066461596924[/C][/ROW]
[ROW][C]76[/C][C]7623[/C][C]7622.64648812855[/C][C]24.6065741484679[/C][C]0.353511871453564[/C][C]-0.617234718369878[/C][/ROW]
[ROW][C]77[/C][C]7664[/C][C]7663.64955683879[/C][C]29.114335964349[/C][C]0.350443161214541[/C][C]0.691641109715837[/C][/ROW]
[ROW][C]78[/C][C]7692[/C][C]7691.64940559595[/C][C]28.8079577639567[/C][C]0.350594404053314[/C][C]-0.0470150190524727[/C][/ROW]
[ROW][C]79[/C][C]7740[/C][C]7739.65129429276[/C][C]34.0843474792273[/C][C]0.348705707234849[/C][C]0.809741870808278[/C][/ROW]
[ROW][C]80[/C][C]7767[/C][C]7766.65078878423[/C][C]32.1367381836316[/C][C]0.349211215765179[/C][C]-0.298901335948613[/C][/ROW]
[ROW][C]81[/C][C]7743[/C][C]7742.64788431946[/C][C]16.7040365273866[/C][C]0.3521156805368[/C][C]-2.36851718640179[/C][/ROW]
[ROW][C]82[/C][C]7798[/C][C]7797.64932101148[/C][C]27.2319910915325[/C][C]0.350678988519011[/C][C]1.61578318269949[/C][/ROW]
[ROW][C]83[/C][C]7842[/C][C]7841.64977713731[/C][C]31.8416682259033[/C][C]0.350222862686806[/C][C]0.707476398952219[/C][/ROW]
[ROW][C]84[/C][C]7837[/C][C]7836.64905047046[/C][C]21.7135851913926[/C][C]0.350949529540543[/C][C]-1.55442562152628[/C][/ROW]
[ROW][C]85[/C][C]7830[/C][C]7835.04137281708[/C][C]15.3290074705236[/C][C]-5.04137281708463[/C][C]-1.0061664901535[/C][/ROW]
[ROW][C]86[/C][C]7818[/C][C]7817.7098872881[/C][C]6.45998521477488[/C][C]0.290112711898957[/C][C]-1.32981436283939[/C][/ROW]
[ROW][C]87[/C][C]7830[/C][C]7829.71162493799[/C][C]7.98413828683488[/C][C]0.288375062014675[/C][C]0.233711686395214[/C][/ROW]
[ROW][C]88[/C][C]7860[/C][C]7859.71658489149[/C][C]14.0388828051779[/C][C]0.283415108510044[/C][C]0.928824582540731[/C][/ROW]
[ROW][C]89[/C][C]7913[/C][C]7912.72294891966[/C][C]24.7518392165381[/C][C]0.277051080342402[/C][C]1.64378496019902[/C][/ROW]
[ROW][C]90[/C][C]7900[/C][C]7899.71847782391[/C][C]14.3724252427584[/C][C]0.281522176086155[/C][C]-1.59279509649043[/C][/ROW]
[ROW][C]91[/C][C]7934[/C][C]7933.72016331428[/C][C]19.7685084409506[/C][C]0.279836685719135[/C][C]0.828118989214519[/C][/ROW]
[ROW][C]92[/C][C]7943[/C][C]7942.719492807[/C][C]16.8080729414296[/C][C]0.280507192997326[/C][C]-0.454343083140173[/C][/ROW]
[ROW][C]93[/C][C]7935[/C][C]7934.71837277182[/C][C]9.98803485912218[/C][C]0.281627228177609[/C][C]-1.04670087891076[/C][/ROW]
[ROW][C]94[/C][C]7930[/C][C]7929.7178821179[/C][C]5.86767486532404[/C][C]0.282117882095229[/C][C]-0.632375271981801[/C][/ROW]
[ROW][C]95[/C][C]7943[/C][C]7942.71805141687[/C][C]7.82841421101464[/C][C]0.281948583127654[/C][C]0.300927340204164[/C][/ROW]
[ROW][C]96[/C][C]7906[/C][C]7905.71727985724[/C][C]-4.49528796777803[/C][C]0.282720142764177[/C][C]-1.89140295407617[/C][/ROW]
[ROW][C]97[/C][C]7961[/C][C]7961.44723112853[/C][C]12.0010772909573[/C][C]-0.447231128529604[/C][C]2.59117462423789[/C][/ROW]
[ROW][C]98[/C][C]7949[/C][C]7949.07061192076[/C][C]5.3719742770576[/C][C]-0.0706119207633796[/C][C]-0.996741130547431[/C][/ROW]
[ROW][C]99[/C][C]7886[/C][C]7886.0517958352[/C][C]-13.4366525182671[/C][C]-0.0517958352017754[/C][C]-2.88438513376443[/C][/ROW]
[ROW][C]100[/C][C]7877[/C][C]7877.05268240961[/C][C]-12.216551006199[/C][C]-0.0526824096094369[/C][C]0.187179008602377[/C][/ROW]
[ROW][C]101[/C][C]7853[/C][C]7853.05097516842[/C][C]-15.45651411704[/C][C]-0.0509751684169608[/C][C]-0.497150613526178[/C][/ROW]
[ROW][C]102[/C][C]7833[/C][C]7833.05049787125[/C][C]-16.7056753228143[/C][C]-0.0504978712526562[/C][C]-0.191695538269138[/C][/ROW]
[ROW][C]103[/C][C]7829[/C][C]7829.05146566382[/C][C]-13.212608419299[/C][C]-0.0514656638215196[/C][C]0.536073570444198[/C][/ROW]
[ROW][C]104[/C][C]7825[/C][C]7825.05197447427[/C][C]-10.6799234911026[/C][C]-0.0519744742665251[/C][C]0.388697067030046[/C][/ROW]
[ROW][C]105[/C][C]7851[/C][C]7851.05344337625[/C][C]-0.596188956603678[/C][C]-0.0534433762455451[/C][C]1.54759789013274[/C][/ROW]
[ROW][C]106[/C][C]7862[/C][C]7862.05378009847[/C][C]2.59171579506418[/C][C]-0.0537800984666657[/C][C]0.489266574200323[/C][/ROW]
[ROW][C]107[/C][C]7864[/C][C]7864.05376764006[/C][C]2.42904796403866[/C][C]-0.0537676400646912[/C][C]-0.0249656982691738[/C][/ROW]
[ROW][C]108[/C][C]7893[/C][C]7893.05417328801[/C][C]9.73362072316717[/C][C]-0.0541732880120097[/C][C]1.12108314707064[/C][/ROW]
[ROW][C]109[/C][C]7867[/C][C]7867.77777360772[/C][C]0.140057846906165[/C][C]-0.777773607716558[/C][C]-1.50305642265142[/C][/ROW]
[ROW][C]110[/C][C]7869[/C][C]7868.92511535592[/C][C]0.414277283456795[/C][C]0.074884644083916[/C][C]0.0413217828884323[/C][/ROW]
[ROW][C]111[/C][C]7871[/C][C]7870.92556120255[/C][C]0.850482919047886[/C][C]0.0744387974507671[/C][C]0.0668994810538982[/C][/ROW]
[ROW][C]112[/C][C]7891[/C][C]7890.9289992996[/C][C]6.11650611622212[/C][C]0.0710007004025777[/C][C]0.807909124891987[/C][/ROW]
[ROW][C]113[/C][C]7876[/C][C]7875.92625046784[/C][C]0.310446436589625[/C][C]0.0737495321604291[/C][C]-0.890920951056447[/C][/ROW]
[ROW][C]114[/C][C]7904[/C][C]7903.9288639582[/C][C]7.92318550602895[/C][C]0.0711360417954116[/C][C]1.16826023215864[/C][/ROW]
[ROW][C]115[/C][C]7930[/C][C]7929.93010108032[/C][C]12.8928696048277[/C][C]0.0698989196828266[/C][C]0.762691619107901[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298248&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298248&T=1

As an alternative you can also use a QR Code:  

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

Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
159635963000
259575957.30180873667-0.497806497171495-0.301808736674092-0.166435545624309
359205920.27227174646-6.55198020886214-0.272271746462643-1.65185942241202
459235923.2783577892-4.52074184219617-0.2783577891961620.419963224047122
559435943.290221748141.37964093284956-0.2902217481364231.05875394550958
659535953.293323062893.59012123487147-0.2933230628915340.368317029416611
759665966.295811102416.08428981263248-0.2958111024127520.399709637883981
859955995.30023609512.2644765431831-0.3002360949985360.970332381038435
960276027.3030098410817.63560048968-0.303009841079840.834261642597502
1060356035.3020259255715.0006724198711-0.302025925566599-0.406952278286264
1160836083.3044718008624.0472552217368-0.3044718008597161.39304261490147
1261246124.3053833980328.7008882201107-0.3053833980295840.71546945866304
1361506148.4413768827427.49039897487411.5586231172591-0.223302467993252
1462206219.1774205816238.75813235189010.822579418378041.52302967059176
1562796278.2037997970644.33905885113330.7962002029371390.85357361654138
1663466345.2251791028150.57829900127660.7748208971875670.955833516653742
1764146413.2370933474655.37152646314820.7629066525354550.734945137149328
1864396438.2220353928447.01861643939290.777964607162225-1.28133454979537
1964956494.2252638808649.48821856083220.774736119138440.378927167224156
2065686567.2313918345955.95254544459650.7686081654109620.991988762043756
2166046603.2276212262850.4670998567250.772378773721615-0.841829435735743
2266466645.2264610184748.13935392392530.773538981525274-0.357242310523075
2366916690.226149106647.27630683235510.773850893395341-0.132455426200384
2467176716.2246163269741.42723512792230.775383673029445-0.897689995763913
2567196732.2344055450634.545991442957-13.2344055450565-1.15723426552666
2667466745.1074751320428.79023694194670.892524867959833-0.821382960937928
2767406739.0776994933919.20613614969090.922300506612404-1.46728929604483
2867486747.0707453354716.12209752568510.929254664533269-0.472711601201926
2967536752.0657418396813.06278137708080.934258160317073-0.469212966321446
3067826781.070939916417.44537525844250.9290600836013880.672385596094608
3167886787.0682332967714.29845175067850.931766703234472-0.482889506864821
3267946793.0668103987612.01695246080880.933189601242975-0.350123321826799
3368166815.0680515534114.76148961167180.9319484465884020.421201960661977
3468426841.0690646737217.85111365136280.9309353262780580.474173981012483
3568556854.068747581916.51748918547220.931252418100018-0.204678074925108
3668606859.068201706313.3512231288080.931798293696412-0.485946170208468
3768736882.0816355026915.9811091994557-9.081635502685130.429142325920329
3869086907.0791135028418.39771454045950.9208864971594740.352415518222167
3969626961.1017072976428.20021992679390.8982927023559451.50169397692397
4069986997.1052908710930.34618457422950.8947091289114030.329038112602711
4169966995.0945167990321.45016611567780.905483200971549-1.36464191168685
4270027001.0907856185617.20184191360720.90921438143602-0.651846757872401
4370197018.0907502759817.1463474670980.909249724021095-0.00851593810243785
4469996998.086034141666.93389783196480.913965858337963-1.56726298277537
4569796978.0835546811-0.4706784676731450.916445318897177-1.13638997959289
4669946993.084587342293.782402308822580.9154126577050260.652737890742291
4769736972.0833878879-3.030530938845360.916612112103988-1.04561917184504
4869386937.08226595131-11.8192239206010.917734048690023-1.34885700365636
4969746979.249185788782.91276093854851-5.249185788776272.36773590341543
5069866985.49489816273.810847401504910.5051018373016010.132513122037213
5170157014.5075902452210.74405500463920.4924097547762021.06253548337574
5270317030.5095070186112.18988808035070.4904929813916250.221732056920394
5370737072.5173887378520.3876992735090.48261126214831.25766946778724
5470867085.5159725186218.35640163006830.484027481380101-0.311691805431528
5570837082.5130040857612.48481248796250.486995914235094-0.901054850053788
5670727071.510637231876.028339476879270.48936276812952-0.990863684879363
5771027101.5123889794612.6185030704110.4876110205386081.01140910953999
5871637162.5149525412825.91912758570690.4850474587161142.04131044022152
5971937192.5151093281427.04099862956020.4848906718569350.172180238552021
6072427241.5157210611833.07771859520610.4842789388158260.926495158104556
6172587264.0776704447830.2037704130985-6.07767044478085-0.457695682093695
6272877286.5013538193428.10006727512540.498646180655591-0.312692541733992
6373017300.495480644624.21990342446710.504519355402135-0.594795701015104
6473157314.49239084921.40886888684220.507609150995332-0.431155136179563
6573337332.4916436432420.47148088782680.508356356760267-0.14381957150029
6673657364.4934758411923.64122806262090.5065241588122820.486398484880603
6773757374.4919039124619.89085838206450.508096087544428-0.575543217361663
6874197418.4939183217826.51891678519450.5060816782223231.01720680667116
6974367435.4933416306223.90203755414940.506658369380009-0.401621207547385
7074387437.4923795050717.88093203528130.507620494933505-0.924090417349818
7174557454.4923514454317.63875565000720.507648554566397-0.037168308107762
7275117510.4932374278128.18458769692170.5067625721901851.61853951796147
7375597563.1259926647534.8729309694991-4.125992664746241.05866550242389
7475937592.6564521032933.42480666523870.343547896707653-0.216335309397166
7576097608.6502654988828.63043144179740.349734501116333-0.735066461596924
7676237622.6464881285524.60657414846790.353511871453564-0.617234718369878
7776647663.6495568387929.1143359643490.3504431612145410.691641109715837
7876927691.6494055959528.80795776395670.350594404053314-0.0470150190524727
7977407739.6512942927634.08434747922730.3487057072348490.809741870808278
8077677766.6507887842332.13673818363160.349211215765179-0.298901335948613
8177437742.6478843194616.70403652738660.3521156805368-2.36851718640179
8277987797.6493210114827.23199109153250.3506789885190111.61578318269949
8378427841.6497771373131.84166822590330.3502228626868060.707476398952219
8478377836.6490504704621.71358519139260.350949529540543-1.55442562152628
8578307835.0413728170815.3290074705236-5.04137281708463-1.0061664901535
8678187817.70988728816.459985214774880.290112711898957-1.32981436283939
8778307829.711624937997.984138286834880.2883750620146750.233711686395214
8878607859.7165848914914.03888280517790.2834151085100440.928824582540731
8979137912.7229489196624.75183921653810.2770510803424021.64378496019902
9079007899.7184778239114.37242524275840.281522176086155-1.59279509649043
9179347933.7201633142819.76850844095060.2798366857191350.828118989214519
9279437942.71949280716.80807294142960.280507192997326-0.454343083140173
9379357934.718372771829.988034859122180.281627228177609-1.04670087891076
9479307929.71788211795.867674865324040.282117882095229-0.632375271981801
9579437942.718051416877.828414211014640.2819485831276540.300927340204164
9679067905.71727985724-4.495287967778030.282720142764177-1.89140295407617
9779617961.4472311285312.0010772909573-0.4472311285296042.59117462423789
9879497949.070611920765.3719742770576-0.0706119207633796-0.996741130547431
9978867886.0517958352-13.4366525182671-0.0517958352017754-2.88438513376443
10078777877.05268240961-12.216551006199-0.05268240960943690.187179008602377
10178537853.05097516842-15.45651411704-0.0509751684169608-0.497150613526178
10278337833.05049787125-16.7056753228143-0.0504978712526562-0.191695538269138
10378297829.05146566382-13.212608419299-0.05146566382151960.536073570444198
10478257825.05197447427-10.6799234911026-0.05197447426652510.388697067030046
10578517851.05344337625-0.596188956603678-0.05344337624554511.54759789013274
10678627862.053780098472.59171579506418-0.05378009846666570.489266574200323
10778647864.053767640062.42904796403866-0.0537676400646912-0.0249656982691738
10878937893.054173288019.73362072316717-0.05417328801200971.12108314707064
10978677867.777773607720.140057846906165-0.777773607716558-1.50305642265142
11078697868.925115355920.4142772834567950.0748846440839160.0413217828884323
11178717870.925561202550.8504829190478860.07443879745076710.0668994810538982
11278917890.92899929966.116506116222120.07100070040257770.807909124891987
11378767875.926250467840.3104464365896250.0737495321604291-0.890920951056447
11479047903.92886395827.923185506028950.07113604179541161.16826023215864
11579307929.9301010803212.89286960482770.06989891968282660.762691619107901







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
17942.113333281577941.171094755690.942238525877563
27952.763349402927957.13328600247-4.36993659954605
37974.739817652047973.095477249251.64434040279086
47993.820516975587989.057668496034.76284847955654
58005.783225552378005.01985974280.76336580956964
68021.479811134348020.982050989580.497760144755903
78039.308171617138036.944242236362.36392938077229
88047.030340440158052.90643348314-5.87609304298899
98066.446315963278068.86862472992-2.42230876664324
108086.356098923618084.83081597671.52528294691448
118099.25968999198100.79300722347-1.53331723157866
128118.457088420778116.755198470251.70188995051966

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 7942.11333328157 & 7941.17109475569 & 0.942238525877563 \tabularnewline
2 & 7952.76334940292 & 7957.13328600247 & -4.36993659954605 \tabularnewline
3 & 7974.73981765204 & 7973.09547724925 & 1.64434040279086 \tabularnewline
4 & 7993.82051697558 & 7989.05766849603 & 4.76284847955654 \tabularnewline
5 & 8005.78322555237 & 8005.0198597428 & 0.76336580956964 \tabularnewline
6 & 8021.47981113434 & 8020.98205098958 & 0.497760144755903 \tabularnewline
7 & 8039.30817161713 & 8036.94424223636 & 2.36392938077229 \tabularnewline
8 & 8047.03034044015 & 8052.90643348314 & -5.87609304298899 \tabularnewline
9 & 8066.44631596327 & 8068.86862472992 & -2.42230876664324 \tabularnewline
10 & 8086.35609892361 & 8084.8308159767 & 1.52528294691448 \tabularnewline
11 & 8099.2596899919 & 8100.79300722347 & -1.53331723157866 \tabularnewline
12 & 8118.45708842077 & 8116.75519847025 & 1.70188995051966 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298248&T=2

[TABLE]
[ROW][C]Structural Time Series Model -- Extrapolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Seasonal[/C][/ROW]
[ROW][C]1[/C][C]7942.11333328157[/C][C]7941.17109475569[/C][C]0.942238525877563[/C][/ROW]
[ROW][C]2[/C][C]7952.76334940292[/C][C]7957.13328600247[/C][C]-4.36993659954605[/C][/ROW]
[ROW][C]3[/C][C]7974.73981765204[/C][C]7973.09547724925[/C][C]1.64434040279086[/C][/ROW]
[ROW][C]4[/C][C]7993.82051697558[/C][C]7989.05766849603[/C][C]4.76284847955654[/C][/ROW]
[ROW][C]5[/C][C]8005.78322555237[/C][C]8005.0198597428[/C][C]0.76336580956964[/C][/ROW]
[ROW][C]6[/C][C]8021.47981113434[/C][C]8020.98205098958[/C][C]0.497760144755903[/C][/ROW]
[ROW][C]7[/C][C]8039.30817161713[/C][C]8036.94424223636[/C][C]2.36392938077229[/C][/ROW]
[ROW][C]8[/C][C]8047.03034044015[/C][C]8052.90643348314[/C][C]-5.87609304298899[/C][/ROW]
[ROW][C]9[/C][C]8066.44631596327[/C][C]8068.86862472992[/C][C]-2.42230876664324[/C][/ROW]
[ROW][C]10[/C][C]8086.35609892361[/C][C]8084.8308159767[/C][C]1.52528294691448[/C][/ROW]
[ROW][C]11[/C][C]8099.2596899919[/C][C]8100.79300722347[/C][C]-1.53331723157866[/C][/ROW]
[ROW][C]12[/C][C]8118.45708842077[/C][C]8116.75519847025[/C][C]1.70188995051966[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298248&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298248&T=2

As an alternative you can also use a QR Code:  

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

Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
17942.113333281577941.171094755690.942238525877563
27952.763349402927957.13328600247-4.36993659954605
37974.739817652047973.095477249251.64434040279086
47993.820516975587989.057668496034.76284847955654
58005.783225552378005.01985974280.76336580956964
68021.479811134348020.982050989580.497760144755903
78039.308171617138036.944242236362.36392938077229
88047.030340440158052.90643348314-5.87609304298899
98066.446315963278068.86862472992-2.42230876664324
108086.356098923618084.83081597671.52528294691448
118099.25968999198100.79300722347-1.53331723157866
128118.457088420778116.755198470251.70188995051966



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 1 ;
Parameters (R input):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')