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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 computationSun, 18 Dec 2016 12:49:53 +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/18/t1482061820tpmnkha74q5osd5.htm/, Retrieved Wed, 08 May 2024 15:31:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301015, Retrieved Wed, 08 May 2024 15:31:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-11-15 16:35:00] [32b17a345b130fdf5cc88718ed94a974]
- RMPD    [Structural Time Series Models] [Structural Time S...] [2016-12-18 11:49:53] [2ea868439aa9f960cb5a0f1a9b97f873] [Current]
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Dataseries X:
7085
7390
6920
6955
6965
6990
7080
7030
7090
7035
6960
7035
6845
6970
6885
6935
6480
6340
6200
5990
5920
5750
5675
5890
5655
5515
5585
5630
5720
5650
5645
5735
5680
5620
5525
5500
5545
5430
5290
5235
5085
4885
5120
5030
4860
4915
5030
5115
4880
4780
4765
4815
4980
5050
5280
5040
4980
5025
5175
5205
5155
4995
5035
5005
4975
4940
5015
4920
4950
4930
4905
5015
5010
5045
5000
5060
4950
4995
4975
4930
5000
4955
4900
4910
4940
4945
4975
4900
4950
4865
4870
4785
4715
4630
4515
4510
4485
4470
4385
4310
4370
4425
4460
4430
4360
4320
4370
4370
4305
4255
4310
4375
4365
4400
4385
4305




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=301015&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=301015&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301015&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
170857085000
273907357.5916608715816.036807626125915.62207814744571.74199075449272
369206971.031605796527.9148941185035410.5466717350277-4.13842512652645
469556949.241603308487.3670957211312810.3598902412628-0.30671492819375
569656954.911154718217.33030207178410.3508394204926-0.0174840598786491
669906977.264663333377.7119009683783610.42719908503770.154319401661687
770807058.038241444319.8311966335556110.78644641682050.74855599577671
870307025.818325899678.4686941832583310.5866045778633-0.429777659528212
970907073.313918874299.8566792207509310.76534086100570.39794419240008
1070357032.16798595817.8933885108934710.5409102970774-0.518925657883647
1169606961.607163429794.6618802270307110.2101368317636-0.796613479111079
1270357016.972561072816.8754652343052410.4144323091050.513868792813486
1368456986.064423554136.6477323243182-135.455278835322-0.462313427563066
1469706961.821070981054.7194059061235511.5189689517233-0.263324786158686
1568856885.817680972270.64275708785243211.1252796569653-0.81162453597113
1669356918.981721824032.2842221598620211.1883055737670.327272853759058
1764806527.7312633351-18.118048870224310.6089594948918-3.95539917042116
1863406352.80535690564-26.468322682980810.3983028552442-1.57435003074351
1962006207.3324308313-32.958021850319110.2480534525228-1.19364378322145
2059906004.94594834283-42.391542521624310.0463478678526-1.69792499606465
2159205916.75229145296-44.98840259727179.99495358669492-0.458646586283068
2257505757.01082445332-51.59836907727449.87369409964576-1.14829418809094
2356755670.31926610772-53.64790573701959.83880151855831-0.350946031949229
2458905846.23644154103-40.078057753998510.05341102108712.29446375609537
2556555777.50223424036-41.5069458973589-118.361467893246-0.315548712344225
2655155532.30744206252-54.8047535654547.42718341497156-1.84325984982171
2755855564.6159204477-49.46538162977977.654194831117780.868927229159531
2856305608.59868853815-43.74990809339367.719440350533840.932351109228647
2957205693.41403552974-35.84596576657127.773143777460841.28215772096237
3056505644.18855924321-36.67297119548057.76833533702119-0.133392838254037
3156455633.43376382834-35.06316059365137.776951761391010.258340964582831
3257355710.76206221084-28.05268894205017.811893801091051.12003543595159
3356805673.53168369971-28.62728047591067.80922175462226-0.0914433318252444
3456205616.3668888299-30.41974589361247.80144082349718-0.284291781423403
3555255525.97201919561-34.19752845056347.7861291116017-0.597388648717633
3655005492.15781451969-34.17332331700237.786220730547790.00381765287213953
3755455588.10948202093-26.3532806347211-61.83405676159511.38428573266446
3854305441.24122688945-34.18878496142354.17551386142571-1.12039973686869
3952905301.40362894069-40.91762100315573.99479872241816-1.05186140264434
4052355234.76586285329-42.55354872061933.98710072292328-0.256080079862701
4150855095.17844439998-48.73110870970533.97708180854997-0.965902300899012
4248854902.09009962796-57.93144314096343.96660748511768-1.436858414956
4351205081.41378459428-42.79553645210893.981936756908032.36139297607992
4450305027.62238027176-43.4976354281043.98127702626533-0.109436748747025
4548604872.3285023727-50.64136428566893.97500925134876-1.11261341448119
4649154899.65177978143-45.65615965634433.979097278007840.775890039566038
4750305004.12251503687-36.05120887139963.986460120118551.49399150294549
4851155092.81839349575-28.06599157651473.992182567563821.24139129392952
4948804954.93819929577-34.9649380940032-59.1208648624579-1.14906902960057
5047804792.60847172183-43.1856407760344.16493430782279-1.20208154701803
5147654759.37267814811-42.54744502852464.177660810664750.0990233309149672
5248154798.84978842247-37.28893336803954.190586481253160.816272123115836
5349804948.54836366241-25.29952199442714.191748389112721.86054392661854
5450505030.2161052644-18.43944071439634.190316118114681.0643027108682
5552805242.21998016218-3.657589769391454.186828526791952.29283970198576
5650405061.60627886823-15.01048068500394.18939593730917-1.76064574756114
5749804984.81562890088-18.97469148282944.19023717256041-0.614685397870315
5850255013.81686002876-15.89583542649644.189625940877260.477336774637247
5951755148.81617356266-6.210996044675764.187827994228681.50132563692288
6052055193.4073553701-2.950045777841384.187261921913130.505452422013514
6151555198.90149904463-2.41261621780444-45.11979483457410.0874985640176161
6249955016.4634930916-13.987120224362.68373268464516-1.71535604076527
6350355028.49806005524-12.31614783583432.710595820913220.25894896712383
6450055004.05804122849-13.09462181483672.70937403900706-0.120636455959786
6549754974.66583262433-14.14111921977672.70975352746172-0.162147023072515
6649404940.24539841342-15.44334324959732.71051929010941-0.201758326195002
6750155001.16211528471-10.53973964955742.707656859796210.759702904162153
6849204926.61917128905-14.64996527005362.70991936826816-0.636765515729735
6949504942.797566913-12.6701372688162.708899049150150.306710527506491
7049304927.65186243346-12.82912486966422.70897568022624-0.0246293767277206
7149054903.88499154797-13.53159277567562.70929229873091-0.108819565568277
7250154996.78075134397-6.696241899863222.706411387937771.05884615039333
7350105030.23456078283-4.12961178580111-26.03572498185180.413326837482597
7450455040.57072887428-3.201050234253492.464333592389210.138741269106148
7550005002.62808745509-5.432270585267912.43404675135538-0.345710679199108
7650605049.8818300073-2.048248864279522.437981184883060.524222874379595
7749504960.31577724794-7.669592851770562.44068034895107-0.870708684763233
7849954987.4830979284-5.431973876817572.439198572160040.346585613308543
7949754973.76780399219-5.964024963562432.4395434710968-0.0824091748794929
8049304932.67878617445-8.220171862362152.44091999944394-0.349452678441936
8150004988.26167013477-4.12195773207342.43857964194840.63476745856666
8249554956.57782529604-5.892327430596382.43952516534241-0.274209892776932
8349004904.31748495062-8.870673675323942.4410126536125-0.461310763959002
8449104906.01840905795-8.1916281984262.44069552170290.105175990441658
8549404954.1930693115-4.58216293570049-22.34676836929970.577545884503937
8649454943.79940276025-4.954997115443951.99730588923671-0.0560056990404218
8749754968.63864050489-3.041507936207632.019876424645020.296473613483416
8849004906.58580963844-6.832034974409252.01629086012029-0.587150147918523
8949504941.84928169233-4.12803823132932.014976126031410.418804006605798
9048654872.49015823009-8.318143403165182.0176625482699-0.648970561562538
9148704867.49772786208-8.104517144067882.017529053323810.0330868655249828
9247854792.70080563044-12.38848196163792.02004717149286-0.663511303950801
9347154721.54379500963-16.16345715588772.022123889869-0.584679508242538
9446304637.82266535311-20.50299845892932.02435655522162-0.672123034283252
9545154526.24731691068-26.35299529705082.02717108330582-0.906069725361956
9645104506.94529712435-25.90007863340152.026967317346020.07014959901962
9744854502.65631157897-24.515118986785-20.78535014469150.220648415793122
9844704469.36761845501-25.07791041774541.84368358037057-0.0848618107039316
9943854390.96294328835-28.50274145697721.80789264063167-0.530630313376335
10043104315.09845782206-31.54500773294181.80542116723734-0.47123529587152
10143704357.42884137355-26.79957546961491.803246015980780.734979836619428
10244254411.42355986462-21.60970990122361.80016159516130.803807797113058
10344604449.50210533846-17.77561097767971.797944362751940.593828299635993
10444304428.65032145959-17.97320979186971.7980518237784-0.030604394121919
10543604364.8762563317-20.91523583030721.79954920359189-0.455667106827128
10643204321.47698216733-22.35950026389771.80023666213371-0.223691454267569
10743704359.41294720156-18.48641865468481.798512705148860.59987483783066
10843704364.732245448-16.95725853801721.797876223041590.236841670187216
10943054328.72228698846-18.1787627116436-20.961656139597-0.193986467199376
11042554260.30565522713-21.40142088139331.6691690145358-0.487334660223705
11143104299.46854567288-17.51173823198071.705694125790320.602639979776094
11243754361.67084101135-12.39131830010081.709378878383970.793126483612713
11343654361.50848342256-11.6057812845431.709046591434590.121665135783436
11444004392.13655964605-8.892859580264481.70756902311280.420178349693362
11543854383.28623295901-8.890127456281061.707567576230020.00042315385713432
11643054312.33613972436-12.87657565787891.70955273389257-0.617427356153164

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 7085 & 7085 & 0 & 0 & 0 \tabularnewline
2 & 7390 & 7357.59166087158 & 16.0368076261259 & 15.6220781474457 & 1.74199075449272 \tabularnewline
3 & 6920 & 6971.03160579652 & 7.91489411850354 & 10.5466717350277 & -4.13842512652645 \tabularnewline
4 & 6955 & 6949.24160330848 & 7.36709572113128 & 10.3598902412628 & -0.30671492819375 \tabularnewline
5 & 6965 & 6954.91115471821 & 7.330302071784 & 10.3508394204926 & -0.0174840598786491 \tabularnewline
6 & 6990 & 6977.26466333337 & 7.71190096837836 & 10.4271990850377 & 0.154319401661687 \tabularnewline
7 & 7080 & 7058.03824144431 & 9.83119663355561 & 10.7864464168205 & 0.74855599577671 \tabularnewline
8 & 7030 & 7025.81832589967 & 8.46869418325833 & 10.5866045778633 & -0.429777659528212 \tabularnewline
9 & 7090 & 7073.31391887429 & 9.85667922075093 & 10.7653408610057 & 0.39794419240008 \tabularnewline
10 & 7035 & 7032.1679859581 & 7.89338851089347 & 10.5409102970774 & -0.518925657883647 \tabularnewline
11 & 6960 & 6961.60716342979 & 4.66188022703071 & 10.2101368317636 & -0.796613479111079 \tabularnewline
12 & 7035 & 7016.97256107281 & 6.87546523430524 & 10.414432309105 & 0.513868792813486 \tabularnewline
13 & 6845 & 6986.06442355413 & 6.6477323243182 & -135.455278835322 & -0.462313427563066 \tabularnewline
14 & 6970 & 6961.82107098105 & 4.71940590612355 & 11.5189689517233 & -0.263324786158686 \tabularnewline
15 & 6885 & 6885.81768097227 & 0.642757087852432 & 11.1252796569653 & -0.81162453597113 \tabularnewline
16 & 6935 & 6918.98172182403 & 2.28422215986202 & 11.188305573767 & 0.327272853759058 \tabularnewline
17 & 6480 & 6527.7312633351 & -18.1180488702243 & 10.6089594948918 & -3.95539917042116 \tabularnewline
18 & 6340 & 6352.80535690564 & -26.4683226829808 & 10.3983028552442 & -1.57435003074351 \tabularnewline
19 & 6200 & 6207.3324308313 & -32.9580218503191 & 10.2480534525228 & -1.19364378322145 \tabularnewline
20 & 5990 & 6004.94594834283 & -42.3915425216243 & 10.0463478678526 & -1.69792499606465 \tabularnewline
21 & 5920 & 5916.75229145296 & -44.9884025972717 & 9.99495358669492 & -0.458646586283068 \tabularnewline
22 & 5750 & 5757.01082445332 & -51.5983690772744 & 9.87369409964576 & -1.14829418809094 \tabularnewline
23 & 5675 & 5670.31926610772 & -53.6479057370195 & 9.83880151855831 & -0.350946031949229 \tabularnewline
24 & 5890 & 5846.23644154103 & -40.0780577539985 & 10.0534110210871 & 2.29446375609537 \tabularnewline
25 & 5655 & 5777.50223424036 & -41.5069458973589 & -118.361467893246 & -0.315548712344225 \tabularnewline
26 & 5515 & 5532.30744206252 & -54.804753565454 & 7.42718341497156 & -1.84325984982171 \tabularnewline
27 & 5585 & 5564.6159204477 & -49.4653816297797 & 7.65419483111778 & 0.868927229159531 \tabularnewline
28 & 5630 & 5608.59868853815 & -43.7499080933936 & 7.71944035053384 & 0.932351109228647 \tabularnewline
29 & 5720 & 5693.41403552974 & -35.8459657665712 & 7.77314377746084 & 1.28215772096237 \tabularnewline
30 & 5650 & 5644.18855924321 & -36.6729711954805 & 7.76833533702119 & -0.133392838254037 \tabularnewline
31 & 5645 & 5633.43376382834 & -35.0631605936513 & 7.77695176139101 & 0.258340964582831 \tabularnewline
32 & 5735 & 5710.76206221084 & -28.0526889420501 & 7.81189380109105 & 1.12003543595159 \tabularnewline
33 & 5680 & 5673.53168369971 & -28.6272804759106 & 7.80922175462226 & -0.0914433318252444 \tabularnewline
34 & 5620 & 5616.3668888299 & -30.4197458936124 & 7.80144082349718 & -0.284291781423403 \tabularnewline
35 & 5525 & 5525.97201919561 & -34.1975284505634 & 7.7861291116017 & -0.597388648717633 \tabularnewline
36 & 5500 & 5492.15781451969 & -34.1733233170023 & 7.78622073054779 & 0.00381765287213953 \tabularnewline
37 & 5545 & 5588.10948202093 & -26.3532806347211 & -61.8340567615951 & 1.38428573266446 \tabularnewline
38 & 5430 & 5441.24122688945 & -34.1887849614235 & 4.17551386142571 & -1.12039973686869 \tabularnewline
39 & 5290 & 5301.40362894069 & -40.9176210031557 & 3.99479872241816 & -1.05186140264434 \tabularnewline
40 & 5235 & 5234.76586285329 & -42.5535487206193 & 3.98710072292328 & -0.256080079862701 \tabularnewline
41 & 5085 & 5095.17844439998 & -48.7311087097053 & 3.97708180854997 & -0.965902300899012 \tabularnewline
42 & 4885 & 4902.09009962796 & -57.9314431409634 & 3.96660748511768 & -1.436858414956 \tabularnewline
43 & 5120 & 5081.41378459428 & -42.7955364521089 & 3.98193675690803 & 2.36139297607992 \tabularnewline
44 & 5030 & 5027.62238027176 & -43.497635428104 & 3.98127702626533 & -0.109436748747025 \tabularnewline
45 & 4860 & 4872.3285023727 & -50.6413642856689 & 3.97500925134876 & -1.11261341448119 \tabularnewline
46 & 4915 & 4899.65177978143 & -45.6561596563443 & 3.97909727800784 & 0.775890039566038 \tabularnewline
47 & 5030 & 5004.12251503687 & -36.0512088713996 & 3.98646012011855 & 1.49399150294549 \tabularnewline
48 & 5115 & 5092.81839349575 & -28.0659915765147 & 3.99218256756382 & 1.24139129392952 \tabularnewline
49 & 4880 & 4954.93819929577 & -34.9649380940032 & -59.1208648624579 & -1.14906902960057 \tabularnewline
50 & 4780 & 4792.60847172183 & -43.185640776034 & 4.16493430782279 & -1.20208154701803 \tabularnewline
51 & 4765 & 4759.37267814811 & -42.5474450285246 & 4.17766081066475 & 0.0990233309149672 \tabularnewline
52 & 4815 & 4798.84978842247 & -37.2889333680395 & 4.19058648125316 & 0.816272123115836 \tabularnewline
53 & 4980 & 4948.54836366241 & -25.2995219944271 & 4.19174838911272 & 1.86054392661854 \tabularnewline
54 & 5050 & 5030.2161052644 & -18.4394407143963 & 4.19031611811468 & 1.0643027108682 \tabularnewline
55 & 5280 & 5242.21998016218 & -3.65758976939145 & 4.18682852679195 & 2.29283970198576 \tabularnewline
56 & 5040 & 5061.60627886823 & -15.0104806850039 & 4.18939593730917 & -1.76064574756114 \tabularnewline
57 & 4980 & 4984.81562890088 & -18.9746914828294 & 4.19023717256041 & -0.614685397870315 \tabularnewline
58 & 5025 & 5013.81686002876 & -15.8958354264964 & 4.18962594087726 & 0.477336774637247 \tabularnewline
59 & 5175 & 5148.81617356266 & -6.21099604467576 & 4.18782799422868 & 1.50132563692288 \tabularnewline
60 & 5205 & 5193.4073553701 & -2.95004577784138 & 4.18726192191313 & 0.505452422013514 \tabularnewline
61 & 5155 & 5198.90149904463 & -2.41261621780444 & -45.1197948345741 & 0.0874985640176161 \tabularnewline
62 & 4995 & 5016.4634930916 & -13.98712022436 & 2.68373268464516 & -1.71535604076527 \tabularnewline
63 & 5035 & 5028.49806005524 & -12.3161478358343 & 2.71059582091322 & 0.25894896712383 \tabularnewline
64 & 5005 & 5004.05804122849 & -13.0946218148367 & 2.70937403900706 & -0.120636455959786 \tabularnewline
65 & 4975 & 4974.66583262433 & -14.1411192197767 & 2.70975352746172 & -0.162147023072515 \tabularnewline
66 & 4940 & 4940.24539841342 & -15.4433432495973 & 2.71051929010941 & -0.201758326195002 \tabularnewline
67 & 5015 & 5001.16211528471 & -10.5397396495574 & 2.70765685979621 & 0.759702904162153 \tabularnewline
68 & 4920 & 4926.61917128905 & -14.6499652700536 & 2.70991936826816 & -0.636765515729735 \tabularnewline
69 & 4950 & 4942.797566913 & -12.670137268816 & 2.70889904915015 & 0.306710527506491 \tabularnewline
70 & 4930 & 4927.65186243346 & -12.8291248696642 & 2.70897568022624 & -0.0246293767277206 \tabularnewline
71 & 4905 & 4903.88499154797 & -13.5315927756756 & 2.70929229873091 & -0.108819565568277 \tabularnewline
72 & 5015 & 4996.78075134397 & -6.69624189986322 & 2.70641138793777 & 1.05884615039333 \tabularnewline
73 & 5010 & 5030.23456078283 & -4.12961178580111 & -26.0357249818518 & 0.413326837482597 \tabularnewline
74 & 5045 & 5040.57072887428 & -3.20105023425349 & 2.46433359238921 & 0.138741269106148 \tabularnewline
75 & 5000 & 5002.62808745509 & -5.43227058526791 & 2.43404675135538 & -0.345710679199108 \tabularnewline
76 & 5060 & 5049.8818300073 & -2.04824886427952 & 2.43798118488306 & 0.524222874379595 \tabularnewline
77 & 4950 & 4960.31577724794 & -7.66959285177056 & 2.44068034895107 & -0.870708684763233 \tabularnewline
78 & 4995 & 4987.4830979284 & -5.43197387681757 & 2.43919857216004 & 0.346585613308543 \tabularnewline
79 & 4975 & 4973.76780399219 & -5.96402496356243 & 2.4395434710968 & -0.0824091748794929 \tabularnewline
80 & 4930 & 4932.67878617445 & -8.22017186236215 & 2.44091999944394 & -0.349452678441936 \tabularnewline
81 & 5000 & 4988.26167013477 & -4.1219577320734 & 2.4385796419484 & 0.63476745856666 \tabularnewline
82 & 4955 & 4956.57782529604 & -5.89232743059638 & 2.43952516534241 & -0.274209892776932 \tabularnewline
83 & 4900 & 4904.31748495062 & -8.87067367532394 & 2.4410126536125 & -0.461310763959002 \tabularnewline
84 & 4910 & 4906.01840905795 & -8.191628198426 & 2.4406955217029 & 0.105175990441658 \tabularnewline
85 & 4940 & 4954.1930693115 & -4.58216293570049 & -22.3467683692997 & 0.577545884503937 \tabularnewline
86 & 4945 & 4943.79940276025 & -4.95499711544395 & 1.99730588923671 & -0.0560056990404218 \tabularnewline
87 & 4975 & 4968.63864050489 & -3.04150793620763 & 2.01987642464502 & 0.296473613483416 \tabularnewline
88 & 4900 & 4906.58580963844 & -6.83203497440925 & 2.01629086012029 & -0.587150147918523 \tabularnewline
89 & 4950 & 4941.84928169233 & -4.1280382313293 & 2.01497612603141 & 0.418804006605798 \tabularnewline
90 & 4865 & 4872.49015823009 & -8.31814340316518 & 2.0176625482699 & -0.648970561562538 \tabularnewline
91 & 4870 & 4867.49772786208 & -8.10451714406788 & 2.01752905332381 & 0.0330868655249828 \tabularnewline
92 & 4785 & 4792.70080563044 & -12.3884819616379 & 2.02004717149286 & -0.663511303950801 \tabularnewline
93 & 4715 & 4721.54379500963 & -16.1634571558877 & 2.022123889869 & -0.584679508242538 \tabularnewline
94 & 4630 & 4637.82266535311 & -20.5029984589293 & 2.02435655522162 & -0.672123034283252 \tabularnewline
95 & 4515 & 4526.24731691068 & -26.3529952970508 & 2.02717108330582 & -0.906069725361956 \tabularnewline
96 & 4510 & 4506.94529712435 & -25.9000786334015 & 2.02696731734602 & 0.07014959901962 \tabularnewline
97 & 4485 & 4502.65631157897 & -24.515118986785 & -20.7853501446915 & 0.220648415793122 \tabularnewline
98 & 4470 & 4469.36761845501 & -25.0779104177454 & 1.84368358037057 & -0.0848618107039316 \tabularnewline
99 & 4385 & 4390.96294328835 & -28.5027414569772 & 1.80789264063167 & -0.530630313376335 \tabularnewline
100 & 4310 & 4315.09845782206 & -31.5450077329418 & 1.80542116723734 & -0.47123529587152 \tabularnewline
101 & 4370 & 4357.42884137355 & -26.7995754696149 & 1.80324601598078 & 0.734979836619428 \tabularnewline
102 & 4425 & 4411.42355986462 & -21.6097099012236 & 1.8001615951613 & 0.803807797113058 \tabularnewline
103 & 4460 & 4449.50210533846 & -17.7756109776797 & 1.79794436275194 & 0.593828299635993 \tabularnewline
104 & 4430 & 4428.65032145959 & -17.9732097918697 & 1.7980518237784 & -0.030604394121919 \tabularnewline
105 & 4360 & 4364.8762563317 & -20.9152358303072 & 1.79954920359189 & -0.455667106827128 \tabularnewline
106 & 4320 & 4321.47698216733 & -22.3595002638977 & 1.80023666213371 & -0.223691454267569 \tabularnewline
107 & 4370 & 4359.41294720156 & -18.4864186546848 & 1.79851270514886 & 0.59987483783066 \tabularnewline
108 & 4370 & 4364.732245448 & -16.9572585380172 & 1.79787622304159 & 0.236841670187216 \tabularnewline
109 & 4305 & 4328.72228698846 & -18.1787627116436 & -20.961656139597 & -0.193986467199376 \tabularnewline
110 & 4255 & 4260.30565522713 & -21.4014208813933 & 1.6691690145358 & -0.487334660223705 \tabularnewline
111 & 4310 & 4299.46854567288 & -17.5117382319807 & 1.70569412579032 & 0.602639979776094 \tabularnewline
112 & 4375 & 4361.67084101135 & -12.3913183001008 & 1.70937887838397 & 0.793126483612713 \tabularnewline
113 & 4365 & 4361.50848342256 & -11.605781284543 & 1.70904659143459 & 0.121665135783436 \tabularnewline
114 & 4400 & 4392.13655964605 & -8.89285958026448 & 1.7075690231128 & 0.420178349693362 \tabularnewline
115 & 4385 & 4383.28623295901 & -8.89012745628106 & 1.70756757623002 & 0.00042315385713432 \tabularnewline
116 & 4305 & 4312.33613972436 & -12.8765756578789 & 1.70955273389257 & -0.617427356153164 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301015&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]7085[/C][C]7085[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]7390[/C][C]7357.59166087158[/C][C]16.0368076261259[/C][C]15.6220781474457[/C][C]1.74199075449272[/C][/ROW]
[ROW][C]3[/C][C]6920[/C][C]6971.03160579652[/C][C]7.91489411850354[/C][C]10.5466717350277[/C][C]-4.13842512652645[/C][/ROW]
[ROW][C]4[/C][C]6955[/C][C]6949.24160330848[/C][C]7.36709572113128[/C][C]10.3598902412628[/C][C]-0.30671492819375[/C][/ROW]
[ROW][C]5[/C][C]6965[/C][C]6954.91115471821[/C][C]7.330302071784[/C][C]10.3508394204926[/C][C]-0.0174840598786491[/C][/ROW]
[ROW][C]6[/C][C]6990[/C][C]6977.26466333337[/C][C]7.71190096837836[/C][C]10.4271990850377[/C][C]0.154319401661687[/C][/ROW]
[ROW][C]7[/C][C]7080[/C][C]7058.03824144431[/C][C]9.83119663355561[/C][C]10.7864464168205[/C][C]0.74855599577671[/C][/ROW]
[ROW][C]8[/C][C]7030[/C][C]7025.81832589967[/C][C]8.46869418325833[/C][C]10.5866045778633[/C][C]-0.429777659528212[/C][/ROW]
[ROW][C]9[/C][C]7090[/C][C]7073.31391887429[/C][C]9.85667922075093[/C][C]10.7653408610057[/C][C]0.39794419240008[/C][/ROW]
[ROW][C]10[/C][C]7035[/C][C]7032.1679859581[/C][C]7.89338851089347[/C][C]10.5409102970774[/C][C]-0.518925657883647[/C][/ROW]
[ROW][C]11[/C][C]6960[/C][C]6961.60716342979[/C][C]4.66188022703071[/C][C]10.2101368317636[/C][C]-0.796613479111079[/C][/ROW]
[ROW][C]12[/C][C]7035[/C][C]7016.97256107281[/C][C]6.87546523430524[/C][C]10.414432309105[/C][C]0.513868792813486[/C][/ROW]
[ROW][C]13[/C][C]6845[/C][C]6986.06442355413[/C][C]6.6477323243182[/C][C]-135.455278835322[/C][C]-0.462313427563066[/C][/ROW]
[ROW][C]14[/C][C]6970[/C][C]6961.82107098105[/C][C]4.71940590612355[/C][C]11.5189689517233[/C][C]-0.263324786158686[/C][/ROW]
[ROW][C]15[/C][C]6885[/C][C]6885.81768097227[/C][C]0.642757087852432[/C][C]11.1252796569653[/C][C]-0.81162453597113[/C][/ROW]
[ROW][C]16[/C][C]6935[/C][C]6918.98172182403[/C][C]2.28422215986202[/C][C]11.188305573767[/C][C]0.327272853759058[/C][/ROW]
[ROW][C]17[/C][C]6480[/C][C]6527.7312633351[/C][C]-18.1180488702243[/C][C]10.6089594948918[/C][C]-3.95539917042116[/C][/ROW]
[ROW][C]18[/C][C]6340[/C][C]6352.80535690564[/C][C]-26.4683226829808[/C][C]10.3983028552442[/C][C]-1.57435003074351[/C][/ROW]
[ROW][C]19[/C][C]6200[/C][C]6207.3324308313[/C][C]-32.9580218503191[/C][C]10.2480534525228[/C][C]-1.19364378322145[/C][/ROW]
[ROW][C]20[/C][C]5990[/C][C]6004.94594834283[/C][C]-42.3915425216243[/C][C]10.0463478678526[/C][C]-1.69792499606465[/C][/ROW]
[ROW][C]21[/C][C]5920[/C][C]5916.75229145296[/C][C]-44.9884025972717[/C][C]9.99495358669492[/C][C]-0.458646586283068[/C][/ROW]
[ROW][C]22[/C][C]5750[/C][C]5757.01082445332[/C][C]-51.5983690772744[/C][C]9.87369409964576[/C][C]-1.14829418809094[/C][/ROW]
[ROW][C]23[/C][C]5675[/C][C]5670.31926610772[/C][C]-53.6479057370195[/C][C]9.83880151855831[/C][C]-0.350946031949229[/C][/ROW]
[ROW][C]24[/C][C]5890[/C][C]5846.23644154103[/C][C]-40.0780577539985[/C][C]10.0534110210871[/C][C]2.29446375609537[/C][/ROW]
[ROW][C]25[/C][C]5655[/C][C]5777.50223424036[/C][C]-41.5069458973589[/C][C]-118.361467893246[/C][C]-0.315548712344225[/C][/ROW]
[ROW][C]26[/C][C]5515[/C][C]5532.30744206252[/C][C]-54.804753565454[/C][C]7.42718341497156[/C][C]-1.84325984982171[/C][/ROW]
[ROW][C]27[/C][C]5585[/C][C]5564.6159204477[/C][C]-49.4653816297797[/C][C]7.65419483111778[/C][C]0.868927229159531[/C][/ROW]
[ROW][C]28[/C][C]5630[/C][C]5608.59868853815[/C][C]-43.7499080933936[/C][C]7.71944035053384[/C][C]0.932351109228647[/C][/ROW]
[ROW][C]29[/C][C]5720[/C][C]5693.41403552974[/C][C]-35.8459657665712[/C][C]7.77314377746084[/C][C]1.28215772096237[/C][/ROW]
[ROW][C]30[/C][C]5650[/C][C]5644.18855924321[/C][C]-36.6729711954805[/C][C]7.76833533702119[/C][C]-0.133392838254037[/C][/ROW]
[ROW][C]31[/C][C]5645[/C][C]5633.43376382834[/C][C]-35.0631605936513[/C][C]7.77695176139101[/C][C]0.258340964582831[/C][/ROW]
[ROW][C]32[/C][C]5735[/C][C]5710.76206221084[/C][C]-28.0526889420501[/C][C]7.81189380109105[/C][C]1.12003543595159[/C][/ROW]
[ROW][C]33[/C][C]5680[/C][C]5673.53168369971[/C][C]-28.6272804759106[/C][C]7.80922175462226[/C][C]-0.0914433318252444[/C][/ROW]
[ROW][C]34[/C][C]5620[/C][C]5616.3668888299[/C][C]-30.4197458936124[/C][C]7.80144082349718[/C][C]-0.284291781423403[/C][/ROW]
[ROW][C]35[/C][C]5525[/C][C]5525.97201919561[/C][C]-34.1975284505634[/C][C]7.7861291116017[/C][C]-0.597388648717633[/C][/ROW]
[ROW][C]36[/C][C]5500[/C][C]5492.15781451969[/C][C]-34.1733233170023[/C][C]7.78622073054779[/C][C]0.00381765287213953[/C][/ROW]
[ROW][C]37[/C][C]5545[/C][C]5588.10948202093[/C][C]-26.3532806347211[/C][C]-61.8340567615951[/C][C]1.38428573266446[/C][/ROW]
[ROW][C]38[/C][C]5430[/C][C]5441.24122688945[/C][C]-34.1887849614235[/C][C]4.17551386142571[/C][C]-1.12039973686869[/C][/ROW]
[ROW][C]39[/C][C]5290[/C][C]5301.40362894069[/C][C]-40.9176210031557[/C][C]3.99479872241816[/C][C]-1.05186140264434[/C][/ROW]
[ROW][C]40[/C][C]5235[/C][C]5234.76586285329[/C][C]-42.5535487206193[/C][C]3.98710072292328[/C][C]-0.256080079862701[/C][/ROW]
[ROW][C]41[/C][C]5085[/C][C]5095.17844439998[/C][C]-48.7311087097053[/C][C]3.97708180854997[/C][C]-0.965902300899012[/C][/ROW]
[ROW][C]42[/C][C]4885[/C][C]4902.09009962796[/C][C]-57.9314431409634[/C][C]3.96660748511768[/C][C]-1.436858414956[/C][/ROW]
[ROW][C]43[/C][C]5120[/C][C]5081.41378459428[/C][C]-42.7955364521089[/C][C]3.98193675690803[/C][C]2.36139297607992[/C][/ROW]
[ROW][C]44[/C][C]5030[/C][C]5027.62238027176[/C][C]-43.497635428104[/C][C]3.98127702626533[/C][C]-0.109436748747025[/C][/ROW]
[ROW][C]45[/C][C]4860[/C][C]4872.3285023727[/C][C]-50.6413642856689[/C][C]3.97500925134876[/C][C]-1.11261341448119[/C][/ROW]
[ROW][C]46[/C][C]4915[/C][C]4899.65177978143[/C][C]-45.6561596563443[/C][C]3.97909727800784[/C][C]0.775890039566038[/C][/ROW]
[ROW][C]47[/C][C]5030[/C][C]5004.12251503687[/C][C]-36.0512088713996[/C][C]3.98646012011855[/C][C]1.49399150294549[/C][/ROW]
[ROW][C]48[/C][C]5115[/C][C]5092.81839349575[/C][C]-28.0659915765147[/C][C]3.99218256756382[/C][C]1.24139129392952[/C][/ROW]
[ROW][C]49[/C][C]4880[/C][C]4954.93819929577[/C][C]-34.9649380940032[/C][C]-59.1208648624579[/C][C]-1.14906902960057[/C][/ROW]
[ROW][C]50[/C][C]4780[/C][C]4792.60847172183[/C][C]-43.185640776034[/C][C]4.16493430782279[/C][C]-1.20208154701803[/C][/ROW]
[ROW][C]51[/C][C]4765[/C][C]4759.37267814811[/C][C]-42.5474450285246[/C][C]4.17766081066475[/C][C]0.0990233309149672[/C][/ROW]
[ROW][C]52[/C][C]4815[/C][C]4798.84978842247[/C][C]-37.2889333680395[/C][C]4.19058648125316[/C][C]0.816272123115836[/C][/ROW]
[ROW][C]53[/C][C]4980[/C][C]4948.54836366241[/C][C]-25.2995219944271[/C][C]4.19174838911272[/C][C]1.86054392661854[/C][/ROW]
[ROW][C]54[/C][C]5050[/C][C]5030.2161052644[/C][C]-18.4394407143963[/C][C]4.19031611811468[/C][C]1.0643027108682[/C][/ROW]
[ROW][C]55[/C][C]5280[/C][C]5242.21998016218[/C][C]-3.65758976939145[/C][C]4.18682852679195[/C][C]2.29283970198576[/C][/ROW]
[ROW][C]56[/C][C]5040[/C][C]5061.60627886823[/C][C]-15.0104806850039[/C][C]4.18939593730917[/C][C]-1.76064574756114[/C][/ROW]
[ROW][C]57[/C][C]4980[/C][C]4984.81562890088[/C][C]-18.9746914828294[/C][C]4.19023717256041[/C][C]-0.614685397870315[/C][/ROW]
[ROW][C]58[/C][C]5025[/C][C]5013.81686002876[/C][C]-15.8958354264964[/C][C]4.18962594087726[/C][C]0.477336774637247[/C][/ROW]
[ROW][C]59[/C][C]5175[/C][C]5148.81617356266[/C][C]-6.21099604467576[/C][C]4.18782799422868[/C][C]1.50132563692288[/C][/ROW]
[ROW][C]60[/C][C]5205[/C][C]5193.4073553701[/C][C]-2.95004577784138[/C][C]4.18726192191313[/C][C]0.505452422013514[/C][/ROW]
[ROW][C]61[/C][C]5155[/C][C]5198.90149904463[/C][C]-2.41261621780444[/C][C]-45.1197948345741[/C][C]0.0874985640176161[/C][/ROW]
[ROW][C]62[/C][C]4995[/C][C]5016.4634930916[/C][C]-13.98712022436[/C][C]2.68373268464516[/C][C]-1.71535604076527[/C][/ROW]
[ROW][C]63[/C][C]5035[/C][C]5028.49806005524[/C][C]-12.3161478358343[/C][C]2.71059582091322[/C][C]0.25894896712383[/C][/ROW]
[ROW][C]64[/C][C]5005[/C][C]5004.05804122849[/C][C]-13.0946218148367[/C][C]2.70937403900706[/C][C]-0.120636455959786[/C][/ROW]
[ROW][C]65[/C][C]4975[/C][C]4974.66583262433[/C][C]-14.1411192197767[/C][C]2.70975352746172[/C][C]-0.162147023072515[/C][/ROW]
[ROW][C]66[/C][C]4940[/C][C]4940.24539841342[/C][C]-15.4433432495973[/C][C]2.71051929010941[/C][C]-0.201758326195002[/C][/ROW]
[ROW][C]67[/C][C]5015[/C][C]5001.16211528471[/C][C]-10.5397396495574[/C][C]2.70765685979621[/C][C]0.759702904162153[/C][/ROW]
[ROW][C]68[/C][C]4920[/C][C]4926.61917128905[/C][C]-14.6499652700536[/C][C]2.70991936826816[/C][C]-0.636765515729735[/C][/ROW]
[ROW][C]69[/C][C]4950[/C][C]4942.797566913[/C][C]-12.670137268816[/C][C]2.70889904915015[/C][C]0.306710527506491[/C][/ROW]
[ROW][C]70[/C][C]4930[/C][C]4927.65186243346[/C][C]-12.8291248696642[/C][C]2.70897568022624[/C][C]-0.0246293767277206[/C][/ROW]
[ROW][C]71[/C][C]4905[/C][C]4903.88499154797[/C][C]-13.5315927756756[/C][C]2.70929229873091[/C][C]-0.108819565568277[/C][/ROW]
[ROW][C]72[/C][C]5015[/C][C]4996.78075134397[/C][C]-6.69624189986322[/C][C]2.70641138793777[/C][C]1.05884615039333[/C][/ROW]
[ROW][C]73[/C][C]5010[/C][C]5030.23456078283[/C][C]-4.12961178580111[/C][C]-26.0357249818518[/C][C]0.413326837482597[/C][/ROW]
[ROW][C]74[/C][C]5045[/C][C]5040.57072887428[/C][C]-3.20105023425349[/C][C]2.46433359238921[/C][C]0.138741269106148[/C][/ROW]
[ROW][C]75[/C][C]5000[/C][C]5002.62808745509[/C][C]-5.43227058526791[/C][C]2.43404675135538[/C][C]-0.345710679199108[/C][/ROW]
[ROW][C]76[/C][C]5060[/C][C]5049.8818300073[/C][C]-2.04824886427952[/C][C]2.43798118488306[/C][C]0.524222874379595[/C][/ROW]
[ROW][C]77[/C][C]4950[/C][C]4960.31577724794[/C][C]-7.66959285177056[/C][C]2.44068034895107[/C][C]-0.870708684763233[/C][/ROW]
[ROW][C]78[/C][C]4995[/C][C]4987.4830979284[/C][C]-5.43197387681757[/C][C]2.43919857216004[/C][C]0.346585613308543[/C][/ROW]
[ROW][C]79[/C][C]4975[/C][C]4973.76780399219[/C][C]-5.96402496356243[/C][C]2.4395434710968[/C][C]-0.0824091748794929[/C][/ROW]
[ROW][C]80[/C][C]4930[/C][C]4932.67878617445[/C][C]-8.22017186236215[/C][C]2.44091999944394[/C][C]-0.349452678441936[/C][/ROW]
[ROW][C]81[/C][C]5000[/C][C]4988.26167013477[/C][C]-4.1219577320734[/C][C]2.4385796419484[/C][C]0.63476745856666[/C][/ROW]
[ROW][C]82[/C][C]4955[/C][C]4956.57782529604[/C][C]-5.89232743059638[/C][C]2.43952516534241[/C][C]-0.274209892776932[/C][/ROW]
[ROW][C]83[/C][C]4900[/C][C]4904.31748495062[/C][C]-8.87067367532394[/C][C]2.4410126536125[/C][C]-0.461310763959002[/C][/ROW]
[ROW][C]84[/C][C]4910[/C][C]4906.01840905795[/C][C]-8.191628198426[/C][C]2.4406955217029[/C][C]0.105175990441658[/C][/ROW]
[ROW][C]85[/C][C]4940[/C][C]4954.1930693115[/C][C]-4.58216293570049[/C][C]-22.3467683692997[/C][C]0.577545884503937[/C][/ROW]
[ROW][C]86[/C][C]4945[/C][C]4943.79940276025[/C][C]-4.95499711544395[/C][C]1.99730588923671[/C][C]-0.0560056990404218[/C][/ROW]
[ROW][C]87[/C][C]4975[/C][C]4968.63864050489[/C][C]-3.04150793620763[/C][C]2.01987642464502[/C][C]0.296473613483416[/C][/ROW]
[ROW][C]88[/C][C]4900[/C][C]4906.58580963844[/C][C]-6.83203497440925[/C][C]2.01629086012029[/C][C]-0.587150147918523[/C][/ROW]
[ROW][C]89[/C][C]4950[/C][C]4941.84928169233[/C][C]-4.1280382313293[/C][C]2.01497612603141[/C][C]0.418804006605798[/C][/ROW]
[ROW][C]90[/C][C]4865[/C][C]4872.49015823009[/C][C]-8.31814340316518[/C][C]2.0176625482699[/C][C]-0.648970561562538[/C][/ROW]
[ROW][C]91[/C][C]4870[/C][C]4867.49772786208[/C][C]-8.10451714406788[/C][C]2.01752905332381[/C][C]0.0330868655249828[/C][/ROW]
[ROW][C]92[/C][C]4785[/C][C]4792.70080563044[/C][C]-12.3884819616379[/C][C]2.02004717149286[/C][C]-0.663511303950801[/C][/ROW]
[ROW][C]93[/C][C]4715[/C][C]4721.54379500963[/C][C]-16.1634571558877[/C][C]2.022123889869[/C][C]-0.584679508242538[/C][/ROW]
[ROW][C]94[/C][C]4630[/C][C]4637.82266535311[/C][C]-20.5029984589293[/C][C]2.02435655522162[/C][C]-0.672123034283252[/C][/ROW]
[ROW][C]95[/C][C]4515[/C][C]4526.24731691068[/C][C]-26.3529952970508[/C][C]2.02717108330582[/C][C]-0.906069725361956[/C][/ROW]
[ROW][C]96[/C][C]4510[/C][C]4506.94529712435[/C][C]-25.9000786334015[/C][C]2.02696731734602[/C][C]0.07014959901962[/C][/ROW]
[ROW][C]97[/C][C]4485[/C][C]4502.65631157897[/C][C]-24.515118986785[/C][C]-20.7853501446915[/C][C]0.220648415793122[/C][/ROW]
[ROW][C]98[/C][C]4470[/C][C]4469.36761845501[/C][C]-25.0779104177454[/C][C]1.84368358037057[/C][C]-0.0848618107039316[/C][/ROW]
[ROW][C]99[/C][C]4385[/C][C]4390.96294328835[/C][C]-28.5027414569772[/C][C]1.80789264063167[/C][C]-0.530630313376335[/C][/ROW]
[ROW][C]100[/C][C]4310[/C][C]4315.09845782206[/C][C]-31.5450077329418[/C][C]1.80542116723734[/C][C]-0.47123529587152[/C][/ROW]
[ROW][C]101[/C][C]4370[/C][C]4357.42884137355[/C][C]-26.7995754696149[/C][C]1.80324601598078[/C][C]0.734979836619428[/C][/ROW]
[ROW][C]102[/C][C]4425[/C][C]4411.42355986462[/C][C]-21.6097099012236[/C][C]1.8001615951613[/C][C]0.803807797113058[/C][/ROW]
[ROW][C]103[/C][C]4460[/C][C]4449.50210533846[/C][C]-17.7756109776797[/C][C]1.79794436275194[/C][C]0.593828299635993[/C][/ROW]
[ROW][C]104[/C][C]4430[/C][C]4428.65032145959[/C][C]-17.9732097918697[/C][C]1.7980518237784[/C][C]-0.030604394121919[/C][/ROW]
[ROW][C]105[/C][C]4360[/C][C]4364.8762563317[/C][C]-20.9152358303072[/C][C]1.79954920359189[/C][C]-0.455667106827128[/C][/ROW]
[ROW][C]106[/C][C]4320[/C][C]4321.47698216733[/C][C]-22.3595002638977[/C][C]1.80023666213371[/C][C]-0.223691454267569[/C][/ROW]
[ROW][C]107[/C][C]4370[/C][C]4359.41294720156[/C][C]-18.4864186546848[/C][C]1.79851270514886[/C][C]0.59987483783066[/C][/ROW]
[ROW][C]108[/C][C]4370[/C][C]4364.732245448[/C][C]-16.9572585380172[/C][C]1.79787622304159[/C][C]0.236841670187216[/C][/ROW]
[ROW][C]109[/C][C]4305[/C][C]4328.72228698846[/C][C]-18.1787627116436[/C][C]-20.961656139597[/C][C]-0.193986467199376[/C][/ROW]
[ROW][C]110[/C][C]4255[/C][C]4260.30565522713[/C][C]-21.4014208813933[/C][C]1.6691690145358[/C][C]-0.487334660223705[/C][/ROW]
[ROW][C]111[/C][C]4310[/C][C]4299.46854567288[/C][C]-17.5117382319807[/C][C]1.70569412579032[/C][C]0.602639979776094[/C][/ROW]
[ROW][C]112[/C][C]4375[/C][C]4361.67084101135[/C][C]-12.3913183001008[/C][C]1.70937887838397[/C][C]0.793126483612713[/C][/ROW]
[ROW][C]113[/C][C]4365[/C][C]4361.50848342256[/C][C]-11.605781284543[/C][C]1.70904659143459[/C][C]0.121665135783436[/C][/ROW]
[ROW][C]114[/C][C]4400[/C][C]4392.13655964605[/C][C]-8.89285958026448[/C][C]1.7075690231128[/C][C]0.420178349693362[/C][/ROW]
[ROW][C]115[/C][C]4385[/C][C]4383.28623295901[/C][C]-8.89012745628106[/C][C]1.70756757623002[/C][C]0.00042315385713432[/C][/ROW]
[ROW][C]116[/C][C]4305[/C][C]4312.33613972436[/C][C]-12.8765756578789[/C][C]1.70955273389257[/C][C]-0.617427356153164[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301015&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301015&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
170857085000
273907357.5916608715816.036807626125915.62207814744571.74199075449272
369206971.031605796527.9148941185035410.5466717350277-4.13842512652645
469556949.241603308487.3670957211312810.3598902412628-0.30671492819375
569656954.911154718217.33030207178410.3508394204926-0.0174840598786491
669906977.264663333377.7119009683783610.42719908503770.154319401661687
770807058.038241444319.8311966335556110.78644641682050.74855599577671
870307025.818325899678.4686941832583310.5866045778633-0.429777659528212
970907073.313918874299.8566792207509310.76534086100570.39794419240008
1070357032.16798595817.8933885108934710.5409102970774-0.518925657883647
1169606961.607163429794.6618802270307110.2101368317636-0.796613479111079
1270357016.972561072816.8754652343052410.4144323091050.513868792813486
1368456986.064423554136.6477323243182-135.455278835322-0.462313427563066
1469706961.821070981054.7194059061235511.5189689517233-0.263324786158686
1568856885.817680972270.64275708785243211.1252796569653-0.81162453597113
1669356918.981721824032.2842221598620211.1883055737670.327272853759058
1764806527.7312633351-18.118048870224310.6089594948918-3.95539917042116
1863406352.80535690564-26.468322682980810.3983028552442-1.57435003074351
1962006207.3324308313-32.958021850319110.2480534525228-1.19364378322145
2059906004.94594834283-42.391542521624310.0463478678526-1.69792499606465
2159205916.75229145296-44.98840259727179.99495358669492-0.458646586283068
2257505757.01082445332-51.59836907727449.87369409964576-1.14829418809094
2356755670.31926610772-53.64790573701959.83880151855831-0.350946031949229
2458905846.23644154103-40.078057753998510.05341102108712.29446375609537
2556555777.50223424036-41.5069458973589-118.361467893246-0.315548712344225
2655155532.30744206252-54.8047535654547.42718341497156-1.84325984982171
2755855564.6159204477-49.46538162977977.654194831117780.868927229159531
2856305608.59868853815-43.74990809339367.719440350533840.932351109228647
2957205693.41403552974-35.84596576657127.773143777460841.28215772096237
3056505644.18855924321-36.67297119548057.76833533702119-0.133392838254037
3156455633.43376382834-35.06316059365137.776951761391010.258340964582831
3257355710.76206221084-28.05268894205017.811893801091051.12003543595159
3356805673.53168369971-28.62728047591067.80922175462226-0.0914433318252444
3456205616.3668888299-30.41974589361247.80144082349718-0.284291781423403
3555255525.97201919561-34.19752845056347.7861291116017-0.597388648717633
3655005492.15781451969-34.17332331700237.786220730547790.00381765287213953
3755455588.10948202093-26.3532806347211-61.83405676159511.38428573266446
3854305441.24122688945-34.18878496142354.17551386142571-1.12039973686869
3952905301.40362894069-40.91762100315573.99479872241816-1.05186140264434
4052355234.76586285329-42.55354872061933.98710072292328-0.256080079862701
4150855095.17844439998-48.73110870970533.97708180854997-0.965902300899012
4248854902.09009962796-57.93144314096343.96660748511768-1.436858414956
4351205081.41378459428-42.79553645210893.981936756908032.36139297607992
4450305027.62238027176-43.4976354281043.98127702626533-0.109436748747025
4548604872.3285023727-50.64136428566893.97500925134876-1.11261341448119
4649154899.65177978143-45.65615965634433.979097278007840.775890039566038
4750305004.12251503687-36.05120887139963.986460120118551.49399150294549
4851155092.81839349575-28.06599157651473.992182567563821.24139129392952
4948804954.93819929577-34.9649380940032-59.1208648624579-1.14906902960057
5047804792.60847172183-43.1856407760344.16493430782279-1.20208154701803
5147654759.37267814811-42.54744502852464.177660810664750.0990233309149672
5248154798.84978842247-37.28893336803954.190586481253160.816272123115836
5349804948.54836366241-25.29952199442714.191748389112721.86054392661854
5450505030.2161052644-18.43944071439634.190316118114681.0643027108682
5552805242.21998016218-3.657589769391454.186828526791952.29283970198576
5650405061.60627886823-15.01048068500394.18939593730917-1.76064574756114
5749804984.81562890088-18.97469148282944.19023717256041-0.614685397870315
5850255013.81686002876-15.89583542649644.189625940877260.477336774637247
5951755148.81617356266-6.210996044675764.187827994228681.50132563692288
6052055193.4073553701-2.950045777841384.187261921913130.505452422013514
6151555198.90149904463-2.41261621780444-45.11979483457410.0874985640176161
6249955016.4634930916-13.987120224362.68373268464516-1.71535604076527
6350355028.49806005524-12.31614783583432.710595820913220.25894896712383
6450055004.05804122849-13.09462181483672.70937403900706-0.120636455959786
6549754974.66583262433-14.14111921977672.70975352746172-0.162147023072515
6649404940.24539841342-15.44334324959732.71051929010941-0.201758326195002
6750155001.16211528471-10.53973964955742.707656859796210.759702904162153
6849204926.61917128905-14.64996527005362.70991936826816-0.636765515729735
6949504942.797566913-12.6701372688162.708899049150150.306710527506491
7049304927.65186243346-12.82912486966422.70897568022624-0.0246293767277206
7149054903.88499154797-13.53159277567562.70929229873091-0.108819565568277
7250154996.78075134397-6.696241899863222.706411387937771.05884615039333
7350105030.23456078283-4.12961178580111-26.03572498185180.413326837482597
7450455040.57072887428-3.201050234253492.464333592389210.138741269106148
7550005002.62808745509-5.432270585267912.43404675135538-0.345710679199108
7650605049.8818300073-2.048248864279522.437981184883060.524222874379595
7749504960.31577724794-7.669592851770562.44068034895107-0.870708684763233
7849954987.4830979284-5.431973876817572.439198572160040.346585613308543
7949754973.76780399219-5.964024963562432.4395434710968-0.0824091748794929
8049304932.67878617445-8.220171862362152.44091999944394-0.349452678441936
8150004988.26167013477-4.12195773207342.43857964194840.63476745856666
8249554956.57782529604-5.892327430596382.43952516534241-0.274209892776932
8349004904.31748495062-8.870673675323942.4410126536125-0.461310763959002
8449104906.01840905795-8.1916281984262.44069552170290.105175990441658
8549404954.1930693115-4.58216293570049-22.34676836929970.577545884503937
8649454943.79940276025-4.954997115443951.99730588923671-0.0560056990404218
8749754968.63864050489-3.041507936207632.019876424645020.296473613483416
8849004906.58580963844-6.832034974409252.01629086012029-0.587150147918523
8949504941.84928169233-4.12803823132932.014976126031410.418804006605798
9048654872.49015823009-8.318143403165182.0176625482699-0.648970561562538
9148704867.49772786208-8.104517144067882.017529053323810.0330868655249828
9247854792.70080563044-12.38848196163792.02004717149286-0.663511303950801
9347154721.54379500963-16.16345715588772.022123889869-0.584679508242538
9446304637.82266535311-20.50299845892932.02435655522162-0.672123034283252
9545154526.24731691068-26.35299529705082.02717108330582-0.906069725361956
9645104506.94529712435-25.90007863340152.026967317346020.07014959901962
9744854502.65631157897-24.515118986785-20.78535014469150.220648415793122
9844704469.36761845501-25.07791041774541.84368358037057-0.0848618107039316
9943854390.96294328835-28.50274145697721.80789264063167-0.530630313376335
10043104315.09845782206-31.54500773294181.80542116723734-0.47123529587152
10143704357.42884137355-26.79957546961491.803246015980780.734979836619428
10244254411.42355986462-21.60970990122361.80016159516130.803807797113058
10344604449.50210533846-17.77561097767971.797944362751940.593828299635993
10444304428.65032145959-17.97320979186971.7980518237784-0.030604394121919
10543604364.8762563317-20.91523583030721.79954920359189-0.455667106827128
10643204321.47698216733-22.35950026389771.80023666213371-0.223691454267569
10743704359.41294720156-18.48641865468481.798512705148860.59987483783066
10843704364.732245448-16.95725853801721.797876223041590.236841670187216
10943054328.72228698846-18.1787627116436-20.961656139597-0.193986467199376
11042554260.30565522713-21.40142088139331.6691690145358-0.487334660223705
11143104299.46854567288-17.51173823198071.705694125790320.602639979776094
11243754361.67084101135-12.39131830010081.709378878383970.793126483612713
11343654361.50848342256-11.6057812845431.709046591434590.121665135783436
11444004392.13655964605-8.892859580264481.70756902311280.420178349693362
11543854383.28623295901-8.890127456281061.707567576230020.00042315385713432
11643054312.33613972436-12.87657565787891.70955273389257-0.617427356153164







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14282.18923288244296.84104156475-14.6518086823495
24252.163778684884283.8489474604-31.6851687755241
34249.674504556274270.85685335606-21.1823487997841
44315.832522044784257.8647592517157.9677627930687
54241.420875794394244.87266514737-3.45178935297598
64242.63742967894231.8805710430210.7568586358785
74190.136553425654218.88847693867-28.7519235130255
84208.918238578364205.896382834333.02185574403285
94182.482492362334192.90428872998-10.4217963676578
104163.829311645944179.91219462564-16.0828829796992
114223.958693899864166.9201005212957.038593378566
124151.370654336424153.92800641695-2.55735208052981

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4282.1892328824 & 4296.84104156475 & -14.6518086823495 \tabularnewline
2 & 4252.16377868488 & 4283.8489474604 & -31.6851687755241 \tabularnewline
3 & 4249.67450455627 & 4270.85685335606 & -21.1823487997841 \tabularnewline
4 & 4315.83252204478 & 4257.86475925171 & 57.9677627930687 \tabularnewline
5 & 4241.42087579439 & 4244.87266514737 & -3.45178935297598 \tabularnewline
6 & 4242.6374296789 & 4231.88057104302 & 10.7568586358785 \tabularnewline
7 & 4190.13655342565 & 4218.88847693867 & -28.7519235130255 \tabularnewline
8 & 4208.91823857836 & 4205.89638283433 & 3.02185574403285 \tabularnewline
9 & 4182.48249236233 & 4192.90428872998 & -10.4217963676578 \tabularnewline
10 & 4163.82931164594 & 4179.91219462564 & -16.0828829796992 \tabularnewline
11 & 4223.95869389986 & 4166.92010052129 & 57.038593378566 \tabularnewline
12 & 4151.37065433642 & 4153.92800641695 & -2.55735208052981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301015&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]4282.1892328824[/C][C]4296.84104156475[/C][C]-14.6518086823495[/C][/ROW]
[ROW][C]2[/C][C]4252.16377868488[/C][C]4283.8489474604[/C][C]-31.6851687755241[/C][/ROW]
[ROW][C]3[/C][C]4249.67450455627[/C][C]4270.85685335606[/C][C]-21.1823487997841[/C][/ROW]
[ROW][C]4[/C][C]4315.83252204478[/C][C]4257.86475925171[/C][C]57.9677627930687[/C][/ROW]
[ROW][C]5[/C][C]4241.42087579439[/C][C]4244.87266514737[/C][C]-3.45178935297598[/C][/ROW]
[ROW][C]6[/C][C]4242.6374296789[/C][C]4231.88057104302[/C][C]10.7568586358785[/C][/ROW]
[ROW][C]7[/C][C]4190.13655342565[/C][C]4218.88847693867[/C][C]-28.7519235130255[/C][/ROW]
[ROW][C]8[/C][C]4208.91823857836[/C][C]4205.89638283433[/C][C]3.02185574403285[/C][/ROW]
[ROW][C]9[/C][C]4182.48249236233[/C][C]4192.90428872998[/C][C]-10.4217963676578[/C][/ROW]
[ROW][C]10[/C][C]4163.82931164594[/C][C]4179.91219462564[/C][C]-16.0828829796992[/C][/ROW]
[ROW][C]11[/C][C]4223.95869389986[/C][C]4166.92010052129[/C][C]57.038593378566[/C][/ROW]
[ROW][C]12[/C][C]4151.37065433642[/C][C]4153.92800641695[/C][C]-2.55735208052981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301015&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301015&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
14282.18923288244296.84104156475-14.6518086823495
24252.163778684884283.8489474604-31.6851687755241
34249.674504556274270.85685335606-21.1823487997841
44315.832522044784257.8647592517157.9677627930687
54241.420875794394244.87266514737-3.45178935297598
64242.63742967894231.8805710430210.7568586358785
74190.136553425654218.88847693867-28.7519235130255
84208.918238578364205.896382834333.02185574403285
94182.482492362334192.90428872998-10.4217963676578
104163.829311645944179.91219462564-16.0828829796992
114223.958693899864166.9201005212957.038593378566
124151.370654336424153.92800641695-2.55735208052981



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