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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationTue, 13 Dec 2016 22:30:10 +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/13/t14816646162hed9pruxq1qyiw.htm/, Retrieved Sun, 05 May 2024 06:10:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299239, Retrieved Sun, 05 May 2024 06:10:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2016-12-13 21:30:10] [130d73899007e5ff8a4f636b9bcfb397] [Current]
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Dataseries X:
3765
3680
3265
2950
2975
3225
3270
3425
3575
3455
3335
3725
3895
4145
4490
4280
3785
3295
3290
3530
4345
4340
4950
5395
4895
4255
3910
3895
3910
3300
3780
3830
3505
3505
3440
3065
3085
3240
2930
2900
2375
2875
3575
3725
3600
3695
3245
3700
3350
2670
2960
2830
2825
2920
2930
3385
3350
3485
3140
2960
2850
2995
2695
2950
2890
3040
2945
3650
3995
3540
3435
3345
3005
2760
2890
2745
3180
3365
3660
3890
3685
4150
3930
3675
3380
3195
2985
2555
2830
2595
2940
3185
3090
2615
2785
2695
3015
3185
3050
2970
3295
3680
3715
3785
3655
3725
3545
3440
3575
3570
3355
3500
3275
3395
3485
3390




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299239&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]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299239&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 time5 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
137653765000
236803684.41999937905-4.41999938523941-4.41999937905293-0.160144583046775
332653271.05577610116-6.05577610115742-6.05577610115738-1.35628729613873
429502957.28174508046-7.28174508046329-7.28174508046326-1.02055738488978
529752982.15414926702-7.15414926701884-7.154149267018860.106639419641089
632253231.14173149019-6.14173149018873-6.141731490188720.84948887925652
732703275.9411757068-5.94117570679891-5.94117570679890.168944071051329
834253430.31249932155-5.31249932155017-5.312499321550180.531664957514031
935753579.70817060927-4.70817060927411-4.708170609274110.513074687001917
1034553460.15503810697-5.15503810696674-5.15503810696674-0.380869326941771
1133353340.59845489084-5.59845489083828-5.59845489083828-0.379395939300622
1237253729.07692256828-4.07692256828004-4.076922568280051.30688855329819
1338953810.40683164543-7.6902880484895584.5931683545650.342207225375925
1441454144.418181789890.581818118456340.5818182101063590.964133942295165
1544904488.79310352541.206896474604241.206896474604291.13897023442622
1642804279.175724692880.8242753071172740.824275307117363-0.698449667313733
1737853785.07233273472-0.0723327347200777-0.0723327347199665-1.63966647958075
1832953295.95667865436-0.956678654358141-0.956678654358134-1.62016933594154
1932903290.96396391763-0.96396391763155-0.963963917631552-0.0133711083683835
2035303530.53057551781-0.530575517810069-0.5305755178100940.796859865695623
2143454344.066427349920.9335726500801860.9335726500801872.69693702498582
2243404339.077060992060.9229390079368610.922939007936857-0.0196221920313248
2349504947.987477759942.012522240061732.012522240061712.0142074513226
2453955392.196428736892.803571263107272.803571263107231.46495437673075
2548955009.1997005627310.3817909816272-114.199700562726-1.40819520032742
2642554256.47058829536-1.47058815050557-1.47058829535914-2.29596879275189
2739103911.87426548998-1.87426548997973-1.87426548997969-1.13639514080358
2838953896.88967128114-1.88967128114176-1.88967128114175-0.0434199538586061
2939103911.86987096377-1.86987096377286-1.869870963772870.0558711020920589
3033003302.58196710979-2.58196710979121-2.5819671097912-2.01169835146069
3137803782.0175437753-2.01754377529929-2.017543775299341.59638532427287
3238303831.95677561871-1.9567756187107-1.956775618710650.172074602749844
3335053507.33372219236-2.33372219235852-2.33372219235853-1.06863124253015
3435053507.33100223651-2.3310022365139-2.331002236513860.00771998901606376
3534403442.403957994-2.40395799399931-2.40395799399934-0.207310152238459
3630653067.83720919125-2.83720919124688-2.83720919124695-1.23255512756617
3730853055.17329359544-2.7115187651779429.8267064045572-0.0347387363815369
3832403240.5608695486-0.560869550887802-0.5608695486017060.581608071257232
3929302930.82971328749-0.829713287495006-0.829713287494967-1.02378143415738
4029002900.85503471638-0.855034716384465-0.855034716384484-0.0965101252677634
4123752376.30962704417-1.30962704417296-1.30962704417303-1.73413843391678
4228752875.87521663152-0.875216631517593-0.8752166315176031.65858813132833
4335753575.26839827525-0.268398275249601-0.2683982752496352.31885383720781
4437253725.13840831415-0.138408314149601-0.1384083141496050.497164936474089
4536003600.24632671432-0.246326714316372-0.24632671431636-0.41310634330014
4636953695.16407600217-0.164076002173102-0.1640760021730710.3151239376894
4732453245.55220017328-0.552200173280029-0.552200173280047-1.48828963204887
4837003700.15948276779-0.159482767785384-0.1594827677855311.50720258781094
4933503381.471505740072.86104597694656-31.4715057400678-1.10793585582266
5026702673.56896542744-3.56896543257742-3.56896542744096-2.23124740172889
5129602963.366643599-3.36664359899669-3.366643598996740.971362193920137
5228302833.45385665313-3.4538566531318-3.45385665313192-0.419005067341563
5328252828.45492075728-3.45492075727835-3.45492075727834-0.00511588786104131
5429202923.38720760779-3.38720760778578-3.387207607785790.325768276447553
5529302933.37800677795-3.37800677794508-3.378006777945120.0442956893034969
5633853388.0631867228-3.06318672279961-3.063186722799691.51668482047247
5733503353.08510629234-3.0851062923436-3.08510629234357-0.105672808511694
5834853487.99039771598-2.99039771597797-2.990397715978030.45689732114942
5931403143.22481142225-3.22481142225245-3.22481142225239-1.13164491118068
6029602963.34589031683-3.34589031682998-3.34589031683018-0.584915710639394
6128502824.43074067328-2.3244781095302425.5692593267246-0.466951192970631
6229952996.02285722596-1.02285710554114-1.022857225959230.55124786918954
6326952696.19360362928-1.19360362928221-1.19360362928221-0.989315237124187
6429502951.04737440476-1.04737440476073-1.047374404760940.84774466218105
6528902891.08100396841-1.08100396840803-1.08100396840796-0.195074276261387
6630403040.99486884718-0.994868847180748-0.9948688471808020.499927221285032
6729452946.048433024-1.0484330240025-1.04843302400247-0.311063141011483
6836503650.64635533221-0.646355332209356-0.6463553322095752.3363158610872
6939953995.44963003211-0.44963003210607-0.4496300321060271.14374475667999
7035403540.70819110489-0.708191104892325-0.708191104892357-1.50410868936551
7134353435.76748150169-0.767481501694858-0.767481501694824-0.345101999098835
7233453345.81818179585-0.818181795849444-0.818181795849639-0.295270796632639
7330053018.450292193351.22275384586977-13.4502921933525-1.11739859864421
7427602760.43170741164-0.43170729373062-0.43170741164477-0.827190073605599
7528902890.36811308709-0.368113087092483-0.3681130870924830.431616499471628
7627452745.43859646245-0.438596462448964-0.438596462449157-0.478606908738273
7731803180.22649778032-0.226497780319432-0.2264977803194231.4409266849339
7833653365.1363193495-0.136319349497378-0.1363193494974770.612940233683313
7936603659.992700703290.007299296712369540.007299296712410530.976647230054166
8038903889.880836549780.1191634502249270.1191634502247550.761078003427422
8136853684.98055417860.01944582140325370.0194458214032771-0.678768071210321
8241504149.754616106680.245383893314960.2453838933148491.5386860296079
8339303929.861583266890.1384167331113740.138416733111448-0.728823027638104
8436753674.985436866660.01456313333673950.0145631333365524-0.844289092438523
8533803396.517652306311.50160477713602-16.5176523063118-0.948446095961431
8631953194.629787455110.3702127949535410.370212544887226-0.652157172179558
8729852984.719268376080.2807316239215720.280731623921571-0.696165701089991
8825552554.902210863770.09778913622603290.0977891362260813-1.42390269997612
8928302829.785380345070.2146196549270810.2146196549270470.909717788618398
9025952594.885301593730.1146984062665640.114698406266543-0.778382037361064
9129402939.738853482850.2611465171549790.2611465171550171.14130893873462
9231853184.634974512910.3650254870881620.3650254870879240.80990017558623
9330903089.67543485460.324565145398580.324565145398708-0.315586008289779
9426152614.87701439850.1229856014953110.122985601495272-1.57296445831079
9527852784.805002099150.1949979008494790.1949979008494780.56216436000962
9626952694.843220318550.1567796814498910.156779681449666-0.298477213096093
9730153001.03385756671-1.2696493012897513.96614243328881.03859832149753
9831853185.35471707207-0.354716962011249-0.3547170720689690.597314023648156
9930503050.40550734216-0.405507342157061-0.405507342157074-0.445584398493757
10029702970.43552034849-0.435520348486356-0.435520348486176-0.263403706650181
10132953295.31285335984-0.312853359843554-0.3128533598437561.07697059893351
10236803680.16767142541-0.167671425413893-0.1676714254139071.27512400457816
10337153715.15442559811-0.154425598113833-0.1544255981137580.116381129806189
10437853785.12801203422-0.128012034216893-0.1280120342171330.232163562732959
10536553655.17689121682-0.176891216818827-0.176891216818758-0.429788217997355
10637253725.15048907561-0.150489075611555-0.1504890756115840.232237941601279
10735453545.21812710164-0.218127101640737-0.218127101640727-0.595180015056774
10834403440.25751878324-0.257518783244359-0.257518783244499-0.34675702357533
10935753566.41675669228-0.7802948405046268.58324330772090.427843638820626
11035703570.75762716383-0.757627101949889-0.7576271638296410.0165309232853844
11133553355.83022703383-0.83022703383321-0.830227033833191-0.70901028045993
11235003500.78082655021-0.780826550214486-0.7808265502142510.482608247359261
11332753275.85675583379-0.856755833785517-0.856755833785533-0.742027429653507
11433953395.81584291695-0.815842916948061-0.8158429169481130.399961482552305
11534853485.78510997505-0.785109975054461-0.7851099750543640.300544566193111
11633903390.81698240077-0.816982400770843-0.816982400771092-0.311793338732196

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3765 & 3765 & 0 & 0 & 0 \tabularnewline
2 & 3680 & 3684.41999937905 & -4.41999938523941 & -4.41999937905293 & -0.160144583046775 \tabularnewline
3 & 3265 & 3271.05577610116 & -6.05577610115742 & -6.05577610115738 & -1.35628729613873 \tabularnewline
4 & 2950 & 2957.28174508046 & -7.28174508046329 & -7.28174508046326 & -1.02055738488978 \tabularnewline
5 & 2975 & 2982.15414926702 & -7.15414926701884 & -7.15414926701886 & 0.106639419641089 \tabularnewline
6 & 3225 & 3231.14173149019 & -6.14173149018873 & -6.14173149018872 & 0.84948887925652 \tabularnewline
7 & 3270 & 3275.9411757068 & -5.94117570679891 & -5.9411757067989 & 0.168944071051329 \tabularnewline
8 & 3425 & 3430.31249932155 & -5.31249932155017 & -5.31249932155018 & 0.531664957514031 \tabularnewline
9 & 3575 & 3579.70817060927 & -4.70817060927411 & -4.70817060927411 & 0.513074687001917 \tabularnewline
10 & 3455 & 3460.15503810697 & -5.15503810696674 & -5.15503810696674 & -0.380869326941771 \tabularnewline
11 & 3335 & 3340.59845489084 & -5.59845489083828 & -5.59845489083828 & -0.379395939300622 \tabularnewline
12 & 3725 & 3729.07692256828 & -4.07692256828004 & -4.07692256828005 & 1.30688855329819 \tabularnewline
13 & 3895 & 3810.40683164543 & -7.69028804848955 & 84.593168354565 & 0.342207225375925 \tabularnewline
14 & 4145 & 4144.41818178989 & 0.58181811845634 & 0.581818210106359 & 0.964133942295165 \tabularnewline
15 & 4490 & 4488.7931035254 & 1.20689647460424 & 1.20689647460429 & 1.13897023442622 \tabularnewline
16 & 4280 & 4279.17572469288 & 0.824275307117274 & 0.824275307117363 & -0.698449667313733 \tabularnewline
17 & 3785 & 3785.07233273472 & -0.0723327347200777 & -0.0723327347199665 & -1.63966647958075 \tabularnewline
18 & 3295 & 3295.95667865436 & -0.956678654358141 & -0.956678654358134 & -1.62016933594154 \tabularnewline
19 & 3290 & 3290.96396391763 & -0.96396391763155 & -0.963963917631552 & -0.0133711083683835 \tabularnewline
20 & 3530 & 3530.53057551781 & -0.530575517810069 & -0.530575517810094 & 0.796859865695623 \tabularnewline
21 & 4345 & 4344.06642734992 & 0.933572650080186 & 0.933572650080187 & 2.69693702498582 \tabularnewline
22 & 4340 & 4339.07706099206 & 0.922939007936861 & 0.922939007936857 & -0.0196221920313248 \tabularnewline
23 & 4950 & 4947.98747775994 & 2.01252224006173 & 2.01252224006171 & 2.0142074513226 \tabularnewline
24 & 5395 & 5392.19642873689 & 2.80357126310727 & 2.80357126310723 & 1.46495437673075 \tabularnewline
25 & 4895 & 5009.19970056273 & 10.3817909816272 & -114.199700562726 & -1.40819520032742 \tabularnewline
26 & 4255 & 4256.47058829536 & -1.47058815050557 & -1.47058829535914 & -2.29596879275189 \tabularnewline
27 & 3910 & 3911.87426548998 & -1.87426548997973 & -1.87426548997969 & -1.13639514080358 \tabularnewline
28 & 3895 & 3896.88967128114 & -1.88967128114176 & -1.88967128114175 & -0.0434199538586061 \tabularnewline
29 & 3910 & 3911.86987096377 & -1.86987096377286 & -1.86987096377287 & 0.0558711020920589 \tabularnewline
30 & 3300 & 3302.58196710979 & -2.58196710979121 & -2.5819671097912 & -2.01169835146069 \tabularnewline
31 & 3780 & 3782.0175437753 & -2.01754377529929 & -2.01754377529934 & 1.59638532427287 \tabularnewline
32 & 3830 & 3831.95677561871 & -1.9567756187107 & -1.95677561871065 & 0.172074602749844 \tabularnewline
33 & 3505 & 3507.33372219236 & -2.33372219235852 & -2.33372219235853 & -1.06863124253015 \tabularnewline
34 & 3505 & 3507.33100223651 & -2.3310022365139 & -2.33100223651386 & 0.00771998901606376 \tabularnewline
35 & 3440 & 3442.403957994 & -2.40395799399931 & -2.40395799399934 & -0.207310152238459 \tabularnewline
36 & 3065 & 3067.83720919125 & -2.83720919124688 & -2.83720919124695 & -1.23255512756617 \tabularnewline
37 & 3085 & 3055.17329359544 & -2.71151876517794 & 29.8267064045572 & -0.0347387363815369 \tabularnewline
38 & 3240 & 3240.5608695486 & -0.560869550887802 & -0.560869548601706 & 0.581608071257232 \tabularnewline
39 & 2930 & 2930.82971328749 & -0.829713287495006 & -0.829713287494967 & -1.02378143415738 \tabularnewline
40 & 2900 & 2900.85503471638 & -0.855034716384465 & -0.855034716384484 & -0.0965101252677634 \tabularnewline
41 & 2375 & 2376.30962704417 & -1.30962704417296 & -1.30962704417303 & -1.73413843391678 \tabularnewline
42 & 2875 & 2875.87521663152 & -0.875216631517593 & -0.875216631517603 & 1.65858813132833 \tabularnewline
43 & 3575 & 3575.26839827525 & -0.268398275249601 & -0.268398275249635 & 2.31885383720781 \tabularnewline
44 & 3725 & 3725.13840831415 & -0.138408314149601 & -0.138408314149605 & 0.497164936474089 \tabularnewline
45 & 3600 & 3600.24632671432 & -0.246326714316372 & -0.24632671431636 & -0.41310634330014 \tabularnewline
46 & 3695 & 3695.16407600217 & -0.164076002173102 & -0.164076002173071 & 0.3151239376894 \tabularnewline
47 & 3245 & 3245.55220017328 & -0.552200173280029 & -0.552200173280047 & -1.48828963204887 \tabularnewline
48 & 3700 & 3700.15948276779 & -0.159482767785384 & -0.159482767785531 & 1.50720258781094 \tabularnewline
49 & 3350 & 3381.47150574007 & 2.86104597694656 & -31.4715057400678 & -1.10793585582266 \tabularnewline
50 & 2670 & 2673.56896542744 & -3.56896543257742 & -3.56896542744096 & -2.23124740172889 \tabularnewline
51 & 2960 & 2963.366643599 & -3.36664359899669 & -3.36664359899674 & 0.971362193920137 \tabularnewline
52 & 2830 & 2833.45385665313 & -3.4538566531318 & -3.45385665313192 & -0.419005067341563 \tabularnewline
53 & 2825 & 2828.45492075728 & -3.45492075727835 & -3.45492075727834 & -0.00511588786104131 \tabularnewline
54 & 2920 & 2923.38720760779 & -3.38720760778578 & -3.38720760778579 & 0.325768276447553 \tabularnewline
55 & 2930 & 2933.37800677795 & -3.37800677794508 & -3.37800677794512 & 0.0442956893034969 \tabularnewline
56 & 3385 & 3388.0631867228 & -3.06318672279961 & -3.06318672279969 & 1.51668482047247 \tabularnewline
57 & 3350 & 3353.08510629234 & -3.0851062923436 & -3.08510629234357 & -0.105672808511694 \tabularnewline
58 & 3485 & 3487.99039771598 & -2.99039771597797 & -2.99039771597803 & 0.45689732114942 \tabularnewline
59 & 3140 & 3143.22481142225 & -3.22481142225245 & -3.22481142225239 & -1.13164491118068 \tabularnewline
60 & 2960 & 2963.34589031683 & -3.34589031682998 & -3.34589031683018 & -0.584915710639394 \tabularnewline
61 & 2850 & 2824.43074067328 & -2.32447810953024 & 25.5692593267246 & -0.466951192970631 \tabularnewline
62 & 2995 & 2996.02285722596 & -1.02285710554114 & -1.02285722595923 & 0.55124786918954 \tabularnewline
63 & 2695 & 2696.19360362928 & -1.19360362928221 & -1.19360362928221 & -0.989315237124187 \tabularnewline
64 & 2950 & 2951.04737440476 & -1.04737440476073 & -1.04737440476094 & 0.84774466218105 \tabularnewline
65 & 2890 & 2891.08100396841 & -1.08100396840803 & -1.08100396840796 & -0.195074276261387 \tabularnewline
66 & 3040 & 3040.99486884718 & -0.994868847180748 & -0.994868847180802 & 0.499927221285032 \tabularnewline
67 & 2945 & 2946.048433024 & -1.0484330240025 & -1.04843302400247 & -0.311063141011483 \tabularnewline
68 & 3650 & 3650.64635533221 & -0.646355332209356 & -0.646355332209575 & 2.3363158610872 \tabularnewline
69 & 3995 & 3995.44963003211 & -0.44963003210607 & -0.449630032106027 & 1.14374475667999 \tabularnewline
70 & 3540 & 3540.70819110489 & -0.708191104892325 & -0.708191104892357 & -1.50410868936551 \tabularnewline
71 & 3435 & 3435.76748150169 & -0.767481501694858 & -0.767481501694824 & -0.345101999098835 \tabularnewline
72 & 3345 & 3345.81818179585 & -0.818181795849444 & -0.818181795849639 & -0.295270796632639 \tabularnewline
73 & 3005 & 3018.45029219335 & 1.22275384586977 & -13.4502921933525 & -1.11739859864421 \tabularnewline
74 & 2760 & 2760.43170741164 & -0.43170729373062 & -0.43170741164477 & -0.827190073605599 \tabularnewline
75 & 2890 & 2890.36811308709 & -0.368113087092483 & -0.368113087092483 & 0.431616499471628 \tabularnewline
76 & 2745 & 2745.43859646245 & -0.438596462448964 & -0.438596462449157 & -0.478606908738273 \tabularnewline
77 & 3180 & 3180.22649778032 & -0.226497780319432 & -0.226497780319423 & 1.4409266849339 \tabularnewline
78 & 3365 & 3365.1363193495 & -0.136319349497378 & -0.136319349497477 & 0.612940233683313 \tabularnewline
79 & 3660 & 3659.99270070329 & 0.00729929671236954 & 0.00729929671241053 & 0.976647230054166 \tabularnewline
80 & 3890 & 3889.88083654978 & 0.119163450224927 & 0.119163450224755 & 0.761078003427422 \tabularnewline
81 & 3685 & 3684.9805541786 & 0.0194458214032537 & 0.0194458214032771 & -0.678768071210321 \tabularnewline
82 & 4150 & 4149.75461610668 & 0.24538389331496 & 0.245383893314849 & 1.5386860296079 \tabularnewline
83 & 3930 & 3929.86158326689 & 0.138416733111374 & 0.138416733111448 & -0.728823027638104 \tabularnewline
84 & 3675 & 3674.98543686666 & 0.0145631333367395 & 0.0145631333365524 & -0.844289092438523 \tabularnewline
85 & 3380 & 3396.51765230631 & 1.50160477713602 & -16.5176523063118 & -0.948446095961431 \tabularnewline
86 & 3195 & 3194.62978745511 & 0.370212794953541 & 0.370212544887226 & -0.652157172179558 \tabularnewline
87 & 2985 & 2984.71926837608 & 0.280731623921572 & 0.280731623921571 & -0.696165701089991 \tabularnewline
88 & 2555 & 2554.90221086377 & 0.0977891362260329 & 0.0977891362260813 & -1.42390269997612 \tabularnewline
89 & 2830 & 2829.78538034507 & 0.214619654927081 & 0.214619654927047 & 0.909717788618398 \tabularnewline
90 & 2595 & 2594.88530159373 & 0.114698406266564 & 0.114698406266543 & -0.778382037361064 \tabularnewline
91 & 2940 & 2939.73885348285 & 0.261146517154979 & 0.261146517155017 & 1.14130893873462 \tabularnewline
92 & 3185 & 3184.63497451291 & 0.365025487088162 & 0.365025487087924 & 0.80990017558623 \tabularnewline
93 & 3090 & 3089.6754348546 & 0.32456514539858 & 0.324565145398708 & -0.315586008289779 \tabularnewline
94 & 2615 & 2614.8770143985 & 0.122985601495311 & 0.122985601495272 & -1.57296445831079 \tabularnewline
95 & 2785 & 2784.80500209915 & 0.194997900849479 & 0.194997900849478 & 0.56216436000962 \tabularnewline
96 & 2695 & 2694.84322031855 & 0.156779681449891 & 0.156779681449666 & -0.298477213096093 \tabularnewline
97 & 3015 & 3001.03385756671 & -1.26964930128975 & 13.9661424332888 & 1.03859832149753 \tabularnewline
98 & 3185 & 3185.35471707207 & -0.354716962011249 & -0.354717072068969 & 0.597314023648156 \tabularnewline
99 & 3050 & 3050.40550734216 & -0.405507342157061 & -0.405507342157074 & -0.445584398493757 \tabularnewline
100 & 2970 & 2970.43552034849 & -0.435520348486356 & -0.435520348486176 & -0.263403706650181 \tabularnewline
101 & 3295 & 3295.31285335984 & -0.312853359843554 & -0.312853359843756 & 1.07697059893351 \tabularnewline
102 & 3680 & 3680.16767142541 & -0.167671425413893 & -0.167671425413907 & 1.27512400457816 \tabularnewline
103 & 3715 & 3715.15442559811 & -0.154425598113833 & -0.154425598113758 & 0.116381129806189 \tabularnewline
104 & 3785 & 3785.12801203422 & -0.128012034216893 & -0.128012034217133 & 0.232163562732959 \tabularnewline
105 & 3655 & 3655.17689121682 & -0.176891216818827 & -0.176891216818758 & -0.429788217997355 \tabularnewline
106 & 3725 & 3725.15048907561 & -0.150489075611555 & -0.150489075611584 & 0.232237941601279 \tabularnewline
107 & 3545 & 3545.21812710164 & -0.218127101640737 & -0.218127101640727 & -0.595180015056774 \tabularnewline
108 & 3440 & 3440.25751878324 & -0.257518783244359 & -0.257518783244499 & -0.34675702357533 \tabularnewline
109 & 3575 & 3566.41675669228 & -0.780294840504626 & 8.5832433077209 & 0.427843638820626 \tabularnewline
110 & 3570 & 3570.75762716383 & -0.757627101949889 & -0.757627163829641 & 0.0165309232853844 \tabularnewline
111 & 3355 & 3355.83022703383 & -0.83022703383321 & -0.830227033833191 & -0.70901028045993 \tabularnewline
112 & 3500 & 3500.78082655021 & -0.780826550214486 & -0.780826550214251 & 0.482608247359261 \tabularnewline
113 & 3275 & 3275.85675583379 & -0.856755833785517 & -0.856755833785533 & -0.742027429653507 \tabularnewline
114 & 3395 & 3395.81584291695 & -0.815842916948061 & -0.815842916948113 & 0.399961482552305 \tabularnewline
115 & 3485 & 3485.78510997505 & -0.785109975054461 & -0.785109975054364 & 0.300544566193111 \tabularnewline
116 & 3390 & 3390.81698240077 & -0.816982400770843 & -0.816982400771092 & -0.311793338732196 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299239&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]3765[/C][C]3765[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3680[/C][C]3684.41999937905[/C][C]-4.41999938523941[/C][C]-4.41999937905293[/C][C]-0.160144583046775[/C][/ROW]
[ROW][C]3[/C][C]3265[/C][C]3271.05577610116[/C][C]-6.05577610115742[/C][C]-6.05577610115738[/C][C]-1.35628729613873[/C][/ROW]
[ROW][C]4[/C][C]2950[/C][C]2957.28174508046[/C][C]-7.28174508046329[/C][C]-7.28174508046326[/C][C]-1.02055738488978[/C][/ROW]
[ROW][C]5[/C][C]2975[/C][C]2982.15414926702[/C][C]-7.15414926701884[/C][C]-7.15414926701886[/C][C]0.106639419641089[/C][/ROW]
[ROW][C]6[/C][C]3225[/C][C]3231.14173149019[/C][C]-6.14173149018873[/C][C]-6.14173149018872[/C][C]0.84948887925652[/C][/ROW]
[ROW][C]7[/C][C]3270[/C][C]3275.9411757068[/C][C]-5.94117570679891[/C][C]-5.9411757067989[/C][C]0.168944071051329[/C][/ROW]
[ROW][C]8[/C][C]3425[/C][C]3430.31249932155[/C][C]-5.31249932155017[/C][C]-5.31249932155018[/C][C]0.531664957514031[/C][/ROW]
[ROW][C]9[/C][C]3575[/C][C]3579.70817060927[/C][C]-4.70817060927411[/C][C]-4.70817060927411[/C][C]0.513074687001917[/C][/ROW]
[ROW][C]10[/C][C]3455[/C][C]3460.15503810697[/C][C]-5.15503810696674[/C][C]-5.15503810696674[/C][C]-0.380869326941771[/C][/ROW]
[ROW][C]11[/C][C]3335[/C][C]3340.59845489084[/C][C]-5.59845489083828[/C][C]-5.59845489083828[/C][C]-0.379395939300622[/C][/ROW]
[ROW][C]12[/C][C]3725[/C][C]3729.07692256828[/C][C]-4.07692256828004[/C][C]-4.07692256828005[/C][C]1.30688855329819[/C][/ROW]
[ROW][C]13[/C][C]3895[/C][C]3810.40683164543[/C][C]-7.69028804848955[/C][C]84.593168354565[/C][C]0.342207225375925[/C][/ROW]
[ROW][C]14[/C][C]4145[/C][C]4144.41818178989[/C][C]0.58181811845634[/C][C]0.581818210106359[/C][C]0.964133942295165[/C][/ROW]
[ROW][C]15[/C][C]4490[/C][C]4488.7931035254[/C][C]1.20689647460424[/C][C]1.20689647460429[/C][C]1.13897023442622[/C][/ROW]
[ROW][C]16[/C][C]4280[/C][C]4279.17572469288[/C][C]0.824275307117274[/C][C]0.824275307117363[/C][C]-0.698449667313733[/C][/ROW]
[ROW][C]17[/C][C]3785[/C][C]3785.07233273472[/C][C]-0.0723327347200777[/C][C]-0.0723327347199665[/C][C]-1.63966647958075[/C][/ROW]
[ROW][C]18[/C][C]3295[/C][C]3295.95667865436[/C][C]-0.956678654358141[/C][C]-0.956678654358134[/C][C]-1.62016933594154[/C][/ROW]
[ROW][C]19[/C][C]3290[/C][C]3290.96396391763[/C][C]-0.96396391763155[/C][C]-0.963963917631552[/C][C]-0.0133711083683835[/C][/ROW]
[ROW][C]20[/C][C]3530[/C][C]3530.53057551781[/C][C]-0.530575517810069[/C][C]-0.530575517810094[/C][C]0.796859865695623[/C][/ROW]
[ROW][C]21[/C][C]4345[/C][C]4344.06642734992[/C][C]0.933572650080186[/C][C]0.933572650080187[/C][C]2.69693702498582[/C][/ROW]
[ROW][C]22[/C][C]4340[/C][C]4339.07706099206[/C][C]0.922939007936861[/C][C]0.922939007936857[/C][C]-0.0196221920313248[/C][/ROW]
[ROW][C]23[/C][C]4950[/C][C]4947.98747775994[/C][C]2.01252224006173[/C][C]2.01252224006171[/C][C]2.0142074513226[/C][/ROW]
[ROW][C]24[/C][C]5395[/C][C]5392.19642873689[/C][C]2.80357126310727[/C][C]2.80357126310723[/C][C]1.46495437673075[/C][/ROW]
[ROW][C]25[/C][C]4895[/C][C]5009.19970056273[/C][C]10.3817909816272[/C][C]-114.199700562726[/C][C]-1.40819520032742[/C][/ROW]
[ROW][C]26[/C][C]4255[/C][C]4256.47058829536[/C][C]-1.47058815050557[/C][C]-1.47058829535914[/C][C]-2.29596879275189[/C][/ROW]
[ROW][C]27[/C][C]3910[/C][C]3911.87426548998[/C][C]-1.87426548997973[/C][C]-1.87426548997969[/C][C]-1.13639514080358[/C][/ROW]
[ROW][C]28[/C][C]3895[/C][C]3896.88967128114[/C][C]-1.88967128114176[/C][C]-1.88967128114175[/C][C]-0.0434199538586061[/C][/ROW]
[ROW][C]29[/C][C]3910[/C][C]3911.86987096377[/C][C]-1.86987096377286[/C][C]-1.86987096377287[/C][C]0.0558711020920589[/C][/ROW]
[ROW][C]30[/C][C]3300[/C][C]3302.58196710979[/C][C]-2.58196710979121[/C][C]-2.5819671097912[/C][C]-2.01169835146069[/C][/ROW]
[ROW][C]31[/C][C]3780[/C][C]3782.0175437753[/C][C]-2.01754377529929[/C][C]-2.01754377529934[/C][C]1.59638532427287[/C][/ROW]
[ROW][C]32[/C][C]3830[/C][C]3831.95677561871[/C][C]-1.9567756187107[/C][C]-1.95677561871065[/C][C]0.172074602749844[/C][/ROW]
[ROW][C]33[/C][C]3505[/C][C]3507.33372219236[/C][C]-2.33372219235852[/C][C]-2.33372219235853[/C][C]-1.06863124253015[/C][/ROW]
[ROW][C]34[/C][C]3505[/C][C]3507.33100223651[/C][C]-2.3310022365139[/C][C]-2.33100223651386[/C][C]0.00771998901606376[/C][/ROW]
[ROW][C]35[/C][C]3440[/C][C]3442.403957994[/C][C]-2.40395799399931[/C][C]-2.40395799399934[/C][C]-0.207310152238459[/C][/ROW]
[ROW][C]36[/C][C]3065[/C][C]3067.83720919125[/C][C]-2.83720919124688[/C][C]-2.83720919124695[/C][C]-1.23255512756617[/C][/ROW]
[ROW][C]37[/C][C]3085[/C][C]3055.17329359544[/C][C]-2.71151876517794[/C][C]29.8267064045572[/C][C]-0.0347387363815369[/C][/ROW]
[ROW][C]38[/C][C]3240[/C][C]3240.5608695486[/C][C]-0.560869550887802[/C][C]-0.560869548601706[/C][C]0.581608071257232[/C][/ROW]
[ROW][C]39[/C][C]2930[/C][C]2930.82971328749[/C][C]-0.829713287495006[/C][C]-0.829713287494967[/C][C]-1.02378143415738[/C][/ROW]
[ROW][C]40[/C][C]2900[/C][C]2900.85503471638[/C][C]-0.855034716384465[/C][C]-0.855034716384484[/C][C]-0.0965101252677634[/C][/ROW]
[ROW][C]41[/C][C]2375[/C][C]2376.30962704417[/C][C]-1.30962704417296[/C][C]-1.30962704417303[/C][C]-1.73413843391678[/C][/ROW]
[ROW][C]42[/C][C]2875[/C][C]2875.87521663152[/C][C]-0.875216631517593[/C][C]-0.875216631517603[/C][C]1.65858813132833[/C][/ROW]
[ROW][C]43[/C][C]3575[/C][C]3575.26839827525[/C][C]-0.268398275249601[/C][C]-0.268398275249635[/C][C]2.31885383720781[/C][/ROW]
[ROW][C]44[/C][C]3725[/C][C]3725.13840831415[/C][C]-0.138408314149601[/C][C]-0.138408314149605[/C][C]0.497164936474089[/C][/ROW]
[ROW][C]45[/C][C]3600[/C][C]3600.24632671432[/C][C]-0.246326714316372[/C][C]-0.24632671431636[/C][C]-0.41310634330014[/C][/ROW]
[ROW][C]46[/C][C]3695[/C][C]3695.16407600217[/C][C]-0.164076002173102[/C][C]-0.164076002173071[/C][C]0.3151239376894[/C][/ROW]
[ROW][C]47[/C][C]3245[/C][C]3245.55220017328[/C][C]-0.552200173280029[/C][C]-0.552200173280047[/C][C]-1.48828963204887[/C][/ROW]
[ROW][C]48[/C][C]3700[/C][C]3700.15948276779[/C][C]-0.159482767785384[/C][C]-0.159482767785531[/C][C]1.50720258781094[/C][/ROW]
[ROW][C]49[/C][C]3350[/C][C]3381.47150574007[/C][C]2.86104597694656[/C][C]-31.4715057400678[/C][C]-1.10793585582266[/C][/ROW]
[ROW][C]50[/C][C]2670[/C][C]2673.56896542744[/C][C]-3.56896543257742[/C][C]-3.56896542744096[/C][C]-2.23124740172889[/C][/ROW]
[ROW][C]51[/C][C]2960[/C][C]2963.366643599[/C][C]-3.36664359899669[/C][C]-3.36664359899674[/C][C]0.971362193920137[/C][/ROW]
[ROW][C]52[/C][C]2830[/C][C]2833.45385665313[/C][C]-3.4538566531318[/C][C]-3.45385665313192[/C][C]-0.419005067341563[/C][/ROW]
[ROW][C]53[/C][C]2825[/C][C]2828.45492075728[/C][C]-3.45492075727835[/C][C]-3.45492075727834[/C][C]-0.00511588786104131[/C][/ROW]
[ROW][C]54[/C][C]2920[/C][C]2923.38720760779[/C][C]-3.38720760778578[/C][C]-3.38720760778579[/C][C]0.325768276447553[/C][/ROW]
[ROW][C]55[/C][C]2930[/C][C]2933.37800677795[/C][C]-3.37800677794508[/C][C]-3.37800677794512[/C][C]0.0442956893034969[/C][/ROW]
[ROW][C]56[/C][C]3385[/C][C]3388.0631867228[/C][C]-3.06318672279961[/C][C]-3.06318672279969[/C][C]1.51668482047247[/C][/ROW]
[ROW][C]57[/C][C]3350[/C][C]3353.08510629234[/C][C]-3.0851062923436[/C][C]-3.08510629234357[/C][C]-0.105672808511694[/C][/ROW]
[ROW][C]58[/C][C]3485[/C][C]3487.99039771598[/C][C]-2.99039771597797[/C][C]-2.99039771597803[/C][C]0.45689732114942[/C][/ROW]
[ROW][C]59[/C][C]3140[/C][C]3143.22481142225[/C][C]-3.22481142225245[/C][C]-3.22481142225239[/C][C]-1.13164491118068[/C][/ROW]
[ROW][C]60[/C][C]2960[/C][C]2963.34589031683[/C][C]-3.34589031682998[/C][C]-3.34589031683018[/C][C]-0.584915710639394[/C][/ROW]
[ROW][C]61[/C][C]2850[/C][C]2824.43074067328[/C][C]-2.32447810953024[/C][C]25.5692593267246[/C][C]-0.466951192970631[/C][/ROW]
[ROW][C]62[/C][C]2995[/C][C]2996.02285722596[/C][C]-1.02285710554114[/C][C]-1.02285722595923[/C][C]0.55124786918954[/C][/ROW]
[ROW][C]63[/C][C]2695[/C][C]2696.19360362928[/C][C]-1.19360362928221[/C][C]-1.19360362928221[/C][C]-0.989315237124187[/C][/ROW]
[ROW][C]64[/C][C]2950[/C][C]2951.04737440476[/C][C]-1.04737440476073[/C][C]-1.04737440476094[/C][C]0.84774466218105[/C][/ROW]
[ROW][C]65[/C][C]2890[/C][C]2891.08100396841[/C][C]-1.08100396840803[/C][C]-1.08100396840796[/C][C]-0.195074276261387[/C][/ROW]
[ROW][C]66[/C][C]3040[/C][C]3040.99486884718[/C][C]-0.994868847180748[/C][C]-0.994868847180802[/C][C]0.499927221285032[/C][/ROW]
[ROW][C]67[/C][C]2945[/C][C]2946.048433024[/C][C]-1.0484330240025[/C][C]-1.04843302400247[/C][C]-0.311063141011483[/C][/ROW]
[ROW][C]68[/C][C]3650[/C][C]3650.64635533221[/C][C]-0.646355332209356[/C][C]-0.646355332209575[/C][C]2.3363158610872[/C][/ROW]
[ROW][C]69[/C][C]3995[/C][C]3995.44963003211[/C][C]-0.44963003210607[/C][C]-0.449630032106027[/C][C]1.14374475667999[/C][/ROW]
[ROW][C]70[/C][C]3540[/C][C]3540.70819110489[/C][C]-0.708191104892325[/C][C]-0.708191104892357[/C][C]-1.50410868936551[/C][/ROW]
[ROW][C]71[/C][C]3435[/C][C]3435.76748150169[/C][C]-0.767481501694858[/C][C]-0.767481501694824[/C][C]-0.345101999098835[/C][/ROW]
[ROW][C]72[/C][C]3345[/C][C]3345.81818179585[/C][C]-0.818181795849444[/C][C]-0.818181795849639[/C][C]-0.295270796632639[/C][/ROW]
[ROW][C]73[/C][C]3005[/C][C]3018.45029219335[/C][C]1.22275384586977[/C][C]-13.4502921933525[/C][C]-1.11739859864421[/C][/ROW]
[ROW][C]74[/C][C]2760[/C][C]2760.43170741164[/C][C]-0.43170729373062[/C][C]-0.43170741164477[/C][C]-0.827190073605599[/C][/ROW]
[ROW][C]75[/C][C]2890[/C][C]2890.36811308709[/C][C]-0.368113087092483[/C][C]-0.368113087092483[/C][C]0.431616499471628[/C][/ROW]
[ROW][C]76[/C][C]2745[/C][C]2745.43859646245[/C][C]-0.438596462448964[/C][C]-0.438596462449157[/C][C]-0.478606908738273[/C][/ROW]
[ROW][C]77[/C][C]3180[/C][C]3180.22649778032[/C][C]-0.226497780319432[/C][C]-0.226497780319423[/C][C]1.4409266849339[/C][/ROW]
[ROW][C]78[/C][C]3365[/C][C]3365.1363193495[/C][C]-0.136319349497378[/C][C]-0.136319349497477[/C][C]0.612940233683313[/C][/ROW]
[ROW][C]79[/C][C]3660[/C][C]3659.99270070329[/C][C]0.00729929671236954[/C][C]0.00729929671241053[/C][C]0.976647230054166[/C][/ROW]
[ROW][C]80[/C][C]3890[/C][C]3889.88083654978[/C][C]0.119163450224927[/C][C]0.119163450224755[/C][C]0.761078003427422[/C][/ROW]
[ROW][C]81[/C][C]3685[/C][C]3684.9805541786[/C][C]0.0194458214032537[/C][C]0.0194458214032771[/C][C]-0.678768071210321[/C][/ROW]
[ROW][C]82[/C][C]4150[/C][C]4149.75461610668[/C][C]0.24538389331496[/C][C]0.245383893314849[/C][C]1.5386860296079[/C][/ROW]
[ROW][C]83[/C][C]3930[/C][C]3929.86158326689[/C][C]0.138416733111374[/C][C]0.138416733111448[/C][C]-0.728823027638104[/C][/ROW]
[ROW][C]84[/C][C]3675[/C][C]3674.98543686666[/C][C]0.0145631333367395[/C][C]0.0145631333365524[/C][C]-0.844289092438523[/C][/ROW]
[ROW][C]85[/C][C]3380[/C][C]3396.51765230631[/C][C]1.50160477713602[/C][C]-16.5176523063118[/C][C]-0.948446095961431[/C][/ROW]
[ROW][C]86[/C][C]3195[/C][C]3194.62978745511[/C][C]0.370212794953541[/C][C]0.370212544887226[/C][C]-0.652157172179558[/C][/ROW]
[ROW][C]87[/C][C]2985[/C][C]2984.71926837608[/C][C]0.280731623921572[/C][C]0.280731623921571[/C][C]-0.696165701089991[/C][/ROW]
[ROW][C]88[/C][C]2555[/C][C]2554.90221086377[/C][C]0.0977891362260329[/C][C]0.0977891362260813[/C][C]-1.42390269997612[/C][/ROW]
[ROW][C]89[/C][C]2830[/C][C]2829.78538034507[/C][C]0.214619654927081[/C][C]0.214619654927047[/C][C]0.909717788618398[/C][/ROW]
[ROW][C]90[/C][C]2595[/C][C]2594.88530159373[/C][C]0.114698406266564[/C][C]0.114698406266543[/C][C]-0.778382037361064[/C][/ROW]
[ROW][C]91[/C][C]2940[/C][C]2939.73885348285[/C][C]0.261146517154979[/C][C]0.261146517155017[/C][C]1.14130893873462[/C][/ROW]
[ROW][C]92[/C][C]3185[/C][C]3184.63497451291[/C][C]0.365025487088162[/C][C]0.365025487087924[/C][C]0.80990017558623[/C][/ROW]
[ROW][C]93[/C][C]3090[/C][C]3089.6754348546[/C][C]0.32456514539858[/C][C]0.324565145398708[/C][C]-0.315586008289779[/C][/ROW]
[ROW][C]94[/C][C]2615[/C][C]2614.8770143985[/C][C]0.122985601495311[/C][C]0.122985601495272[/C][C]-1.57296445831079[/C][/ROW]
[ROW][C]95[/C][C]2785[/C][C]2784.80500209915[/C][C]0.194997900849479[/C][C]0.194997900849478[/C][C]0.56216436000962[/C][/ROW]
[ROW][C]96[/C][C]2695[/C][C]2694.84322031855[/C][C]0.156779681449891[/C][C]0.156779681449666[/C][C]-0.298477213096093[/C][/ROW]
[ROW][C]97[/C][C]3015[/C][C]3001.03385756671[/C][C]-1.26964930128975[/C][C]13.9661424332888[/C][C]1.03859832149753[/C][/ROW]
[ROW][C]98[/C][C]3185[/C][C]3185.35471707207[/C][C]-0.354716962011249[/C][C]-0.354717072068969[/C][C]0.597314023648156[/C][/ROW]
[ROW][C]99[/C][C]3050[/C][C]3050.40550734216[/C][C]-0.405507342157061[/C][C]-0.405507342157074[/C][C]-0.445584398493757[/C][/ROW]
[ROW][C]100[/C][C]2970[/C][C]2970.43552034849[/C][C]-0.435520348486356[/C][C]-0.435520348486176[/C][C]-0.263403706650181[/C][/ROW]
[ROW][C]101[/C][C]3295[/C][C]3295.31285335984[/C][C]-0.312853359843554[/C][C]-0.312853359843756[/C][C]1.07697059893351[/C][/ROW]
[ROW][C]102[/C][C]3680[/C][C]3680.16767142541[/C][C]-0.167671425413893[/C][C]-0.167671425413907[/C][C]1.27512400457816[/C][/ROW]
[ROW][C]103[/C][C]3715[/C][C]3715.15442559811[/C][C]-0.154425598113833[/C][C]-0.154425598113758[/C][C]0.116381129806189[/C][/ROW]
[ROW][C]104[/C][C]3785[/C][C]3785.12801203422[/C][C]-0.128012034216893[/C][C]-0.128012034217133[/C][C]0.232163562732959[/C][/ROW]
[ROW][C]105[/C][C]3655[/C][C]3655.17689121682[/C][C]-0.176891216818827[/C][C]-0.176891216818758[/C][C]-0.429788217997355[/C][/ROW]
[ROW][C]106[/C][C]3725[/C][C]3725.15048907561[/C][C]-0.150489075611555[/C][C]-0.150489075611584[/C][C]0.232237941601279[/C][/ROW]
[ROW][C]107[/C][C]3545[/C][C]3545.21812710164[/C][C]-0.218127101640737[/C][C]-0.218127101640727[/C][C]-0.595180015056774[/C][/ROW]
[ROW][C]108[/C][C]3440[/C][C]3440.25751878324[/C][C]-0.257518783244359[/C][C]-0.257518783244499[/C][C]-0.34675702357533[/C][/ROW]
[ROW][C]109[/C][C]3575[/C][C]3566.41675669228[/C][C]-0.780294840504626[/C][C]8.5832433077209[/C][C]0.427843638820626[/C][/ROW]
[ROW][C]110[/C][C]3570[/C][C]3570.75762716383[/C][C]-0.757627101949889[/C][C]-0.757627163829641[/C][C]0.0165309232853844[/C][/ROW]
[ROW][C]111[/C][C]3355[/C][C]3355.83022703383[/C][C]-0.83022703383321[/C][C]-0.830227033833191[/C][C]-0.70901028045993[/C][/ROW]
[ROW][C]112[/C][C]3500[/C][C]3500.78082655021[/C][C]-0.780826550214486[/C][C]-0.780826550214251[/C][C]0.482608247359261[/C][/ROW]
[ROW][C]113[/C][C]3275[/C][C]3275.85675583379[/C][C]-0.856755833785517[/C][C]-0.856755833785533[/C][C]-0.742027429653507[/C][/ROW]
[ROW][C]114[/C][C]3395[/C][C]3395.81584291695[/C][C]-0.815842916948061[/C][C]-0.815842916948113[/C][C]0.399961482552305[/C][/ROW]
[ROW][C]115[/C][C]3485[/C][C]3485.78510997505[/C][C]-0.785109975054461[/C][C]-0.785109975054364[/C][C]0.300544566193111[/C][/ROW]
[ROW][C]116[/C][C]3390[/C][C]3390.81698240077[/C][C]-0.816982400770843[/C][C]-0.816982400771092[/C][C]-0.311793338732196[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299239&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
137653765000
236803684.41999937905-4.41999938523941-4.41999937905293-0.160144583046775
332653271.05577610116-6.05577610115742-6.05577610115738-1.35628729613873
429502957.28174508046-7.28174508046329-7.28174508046326-1.02055738488978
529752982.15414926702-7.15414926701884-7.154149267018860.106639419641089
632253231.14173149019-6.14173149018873-6.141731490188720.84948887925652
732703275.9411757068-5.94117570679891-5.94117570679890.168944071051329
834253430.31249932155-5.31249932155017-5.312499321550180.531664957514031
935753579.70817060927-4.70817060927411-4.708170609274110.513074687001917
1034553460.15503810697-5.15503810696674-5.15503810696674-0.380869326941771
1133353340.59845489084-5.59845489083828-5.59845489083828-0.379395939300622
1237253729.07692256828-4.07692256828004-4.076922568280051.30688855329819
1338953810.40683164543-7.6902880484895584.5931683545650.342207225375925
1441454144.418181789890.581818118456340.5818182101063590.964133942295165
1544904488.79310352541.206896474604241.206896474604291.13897023442622
1642804279.175724692880.8242753071172740.824275307117363-0.698449667313733
1737853785.07233273472-0.0723327347200777-0.0723327347199665-1.63966647958075
1832953295.95667865436-0.956678654358141-0.956678654358134-1.62016933594154
1932903290.96396391763-0.96396391763155-0.963963917631552-0.0133711083683835
2035303530.53057551781-0.530575517810069-0.5305755178100940.796859865695623
2143454344.066427349920.9335726500801860.9335726500801872.69693702498582
2243404339.077060992060.9229390079368610.922939007936857-0.0196221920313248
2349504947.987477759942.012522240061732.012522240061712.0142074513226
2453955392.196428736892.803571263107272.803571263107231.46495437673075
2548955009.1997005627310.3817909816272-114.199700562726-1.40819520032742
2642554256.47058829536-1.47058815050557-1.47058829535914-2.29596879275189
2739103911.87426548998-1.87426548997973-1.87426548997969-1.13639514080358
2838953896.88967128114-1.88967128114176-1.88967128114175-0.0434199538586061
2939103911.86987096377-1.86987096377286-1.869870963772870.0558711020920589
3033003302.58196710979-2.58196710979121-2.5819671097912-2.01169835146069
3137803782.0175437753-2.01754377529929-2.017543775299341.59638532427287
3238303831.95677561871-1.9567756187107-1.956775618710650.172074602749844
3335053507.33372219236-2.33372219235852-2.33372219235853-1.06863124253015
3435053507.33100223651-2.3310022365139-2.331002236513860.00771998901606376
3534403442.403957994-2.40395799399931-2.40395799399934-0.207310152238459
3630653067.83720919125-2.83720919124688-2.83720919124695-1.23255512756617
3730853055.17329359544-2.7115187651779429.8267064045572-0.0347387363815369
3832403240.5608695486-0.560869550887802-0.5608695486017060.581608071257232
3929302930.82971328749-0.829713287495006-0.829713287494967-1.02378143415738
4029002900.85503471638-0.855034716384465-0.855034716384484-0.0965101252677634
4123752376.30962704417-1.30962704417296-1.30962704417303-1.73413843391678
4228752875.87521663152-0.875216631517593-0.8752166315176031.65858813132833
4335753575.26839827525-0.268398275249601-0.2683982752496352.31885383720781
4437253725.13840831415-0.138408314149601-0.1384083141496050.497164936474089
4536003600.24632671432-0.246326714316372-0.24632671431636-0.41310634330014
4636953695.16407600217-0.164076002173102-0.1640760021730710.3151239376894
4732453245.55220017328-0.552200173280029-0.552200173280047-1.48828963204887
4837003700.15948276779-0.159482767785384-0.1594827677855311.50720258781094
4933503381.471505740072.86104597694656-31.4715057400678-1.10793585582266
5026702673.56896542744-3.56896543257742-3.56896542744096-2.23124740172889
5129602963.366643599-3.36664359899669-3.366643598996740.971362193920137
5228302833.45385665313-3.4538566531318-3.45385665313192-0.419005067341563
5328252828.45492075728-3.45492075727835-3.45492075727834-0.00511588786104131
5429202923.38720760779-3.38720760778578-3.387207607785790.325768276447553
5529302933.37800677795-3.37800677794508-3.378006777945120.0442956893034969
5633853388.0631867228-3.06318672279961-3.063186722799691.51668482047247
5733503353.08510629234-3.0851062923436-3.08510629234357-0.105672808511694
5834853487.99039771598-2.99039771597797-2.990397715978030.45689732114942
5931403143.22481142225-3.22481142225245-3.22481142225239-1.13164491118068
6029602963.34589031683-3.34589031682998-3.34589031683018-0.584915710639394
6128502824.43074067328-2.3244781095302425.5692593267246-0.466951192970631
6229952996.02285722596-1.02285710554114-1.022857225959230.55124786918954
6326952696.19360362928-1.19360362928221-1.19360362928221-0.989315237124187
6429502951.04737440476-1.04737440476073-1.047374404760940.84774466218105
6528902891.08100396841-1.08100396840803-1.08100396840796-0.195074276261387
6630403040.99486884718-0.994868847180748-0.9948688471808020.499927221285032
6729452946.048433024-1.0484330240025-1.04843302400247-0.311063141011483
6836503650.64635533221-0.646355332209356-0.6463553322095752.3363158610872
6939953995.44963003211-0.44963003210607-0.4496300321060271.14374475667999
7035403540.70819110489-0.708191104892325-0.708191104892357-1.50410868936551
7134353435.76748150169-0.767481501694858-0.767481501694824-0.345101999098835
7233453345.81818179585-0.818181795849444-0.818181795849639-0.295270796632639
7330053018.450292193351.22275384586977-13.4502921933525-1.11739859864421
7427602760.43170741164-0.43170729373062-0.43170741164477-0.827190073605599
7528902890.36811308709-0.368113087092483-0.3681130870924830.431616499471628
7627452745.43859646245-0.438596462448964-0.438596462449157-0.478606908738273
7731803180.22649778032-0.226497780319432-0.2264977803194231.4409266849339
7833653365.1363193495-0.136319349497378-0.1363193494974770.612940233683313
7936603659.992700703290.007299296712369540.007299296712410530.976647230054166
8038903889.880836549780.1191634502249270.1191634502247550.761078003427422
8136853684.98055417860.01944582140325370.0194458214032771-0.678768071210321
8241504149.754616106680.245383893314960.2453838933148491.5386860296079
8339303929.861583266890.1384167331113740.138416733111448-0.728823027638104
8436753674.985436866660.01456313333673950.0145631333365524-0.844289092438523
8533803396.517652306311.50160477713602-16.5176523063118-0.948446095961431
8631953194.629787455110.3702127949535410.370212544887226-0.652157172179558
8729852984.719268376080.2807316239215720.280731623921571-0.696165701089991
8825552554.902210863770.09778913622603290.0977891362260813-1.42390269997612
8928302829.785380345070.2146196549270810.2146196549270470.909717788618398
9025952594.885301593730.1146984062665640.114698406266543-0.778382037361064
9129402939.738853482850.2611465171549790.2611465171550171.14130893873462
9231853184.634974512910.3650254870881620.3650254870879240.80990017558623
9330903089.67543485460.324565145398580.324565145398708-0.315586008289779
9426152614.87701439850.1229856014953110.122985601495272-1.57296445831079
9527852784.805002099150.1949979008494790.1949979008494780.56216436000962
9626952694.843220318550.1567796814498910.156779681449666-0.298477213096093
9730153001.03385756671-1.2696493012897513.96614243328881.03859832149753
9831853185.35471707207-0.354716962011249-0.3547170720689690.597314023648156
9930503050.40550734216-0.405507342157061-0.405507342157074-0.445584398493757
10029702970.43552034849-0.435520348486356-0.435520348486176-0.263403706650181
10132953295.31285335984-0.312853359843554-0.3128533598437561.07697059893351
10236803680.16767142541-0.167671425413893-0.1676714254139071.27512400457816
10337153715.15442559811-0.154425598113833-0.1544255981137580.116381129806189
10437853785.12801203422-0.128012034216893-0.1280120342171330.232163562732959
10536553655.17689121682-0.176891216818827-0.176891216818758-0.429788217997355
10637253725.15048907561-0.150489075611555-0.1504890756115840.232237941601279
10735453545.21812710164-0.218127101640737-0.218127101640727-0.595180015056774
10834403440.25751878324-0.257518783244359-0.257518783244499-0.34675702357533
10935753566.41675669228-0.7802948405046268.58324330772090.427843638820626
11035703570.75762716383-0.757627101949889-0.7576271638296410.0165309232853844
11133553355.83022703383-0.83022703383321-0.830227033833191-0.70901028045993
11235003500.78082655021-0.780826550214486-0.7808265502142510.482608247359261
11332753275.85675583379-0.856755833785517-0.856755833785533-0.742027429653507
11433953395.81584291695-0.815842916948061-0.8158429169481130.399961482552305
11534853485.78510997505-0.785109975054461-0.7851099750543640.300544566193111
11633903390.81698240077-0.816982400770843-0.816982400771092-0.311793338732196







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
13283.244097814643028.28009157304254.964006241596
23051.720277959932834.87442478663216.845853173294
32774.772656006132641.46875800023133.303898005903
42598.509688693312448.06309121382150.446597479497
52292.534398506492254.6574244274137.8769740790824
61996.28812776772061.251757641-64.9636298732929
71696.150715946491867.84609085459-171.695374908096
81417.618942064031674.44042406818-256.821482004152
91211.690848519661481.03475728177-269.343908762108
101064.866804194041287.62909049536-222.76228630132
111073.648745582341094.22342370895-20.5746781266085
121113.54178791875900.81775692254212.724030996205

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 3283.24409781464 & 3028.28009157304 & 254.964006241596 \tabularnewline
2 & 3051.72027795993 & 2834.87442478663 & 216.845853173294 \tabularnewline
3 & 2774.77265600613 & 2641.46875800023 & 133.303898005903 \tabularnewline
4 & 2598.50968869331 & 2448.06309121382 & 150.446597479497 \tabularnewline
5 & 2292.53439850649 & 2254.65742442741 & 37.8769740790824 \tabularnewline
6 & 1996.2881277677 & 2061.251757641 & -64.9636298732929 \tabularnewline
7 & 1696.15071594649 & 1867.84609085459 & -171.695374908096 \tabularnewline
8 & 1417.61894206403 & 1674.44042406818 & -256.821482004152 \tabularnewline
9 & 1211.69084851966 & 1481.03475728177 & -269.343908762108 \tabularnewline
10 & 1064.86680419404 & 1287.62909049536 & -222.76228630132 \tabularnewline
11 & 1073.64874558234 & 1094.22342370895 & -20.5746781266085 \tabularnewline
12 & 1113.54178791875 & 900.81775692254 & 212.724030996205 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299239&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]3283.24409781464[/C][C]3028.28009157304[/C][C]254.964006241596[/C][/ROW]
[ROW][C]2[/C][C]3051.72027795993[/C][C]2834.87442478663[/C][C]216.845853173294[/C][/ROW]
[ROW][C]3[/C][C]2774.77265600613[/C][C]2641.46875800023[/C][C]133.303898005903[/C][/ROW]
[ROW][C]4[/C][C]2598.50968869331[/C][C]2448.06309121382[/C][C]150.446597479497[/C][/ROW]
[ROW][C]5[/C][C]2292.53439850649[/C][C]2254.65742442741[/C][C]37.8769740790824[/C][/ROW]
[ROW][C]6[/C][C]1996.2881277677[/C][C]2061.251757641[/C][C]-64.9636298732929[/C][/ROW]
[ROW][C]7[/C][C]1696.15071594649[/C][C]1867.84609085459[/C][C]-171.695374908096[/C][/ROW]
[ROW][C]8[/C][C]1417.61894206403[/C][C]1674.44042406818[/C][C]-256.821482004152[/C][/ROW]
[ROW][C]9[/C][C]1211.69084851966[/C][C]1481.03475728177[/C][C]-269.343908762108[/C][/ROW]
[ROW][C]10[/C][C]1064.86680419404[/C][C]1287.62909049536[/C][C]-222.76228630132[/C][/ROW]
[ROW][C]11[/C][C]1073.64874558234[/C][C]1094.22342370895[/C][C]-20.5746781266085[/C][/ROW]
[ROW][C]12[/C][C]1113.54178791875[/C][C]900.81775692254[/C][C]212.724030996205[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299239&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299239&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
13283.244097814643028.28009157304254.964006241596
23051.720277959932834.87442478663216.845853173294
32774.772656006132641.46875800023133.303898005903
42598.509688693312448.06309121382150.446597479497
52292.534398506492254.6574244274137.8769740790824
61996.28812776772061.251757641-64.9636298732929
71696.150715946491867.84609085459-171.695374908096
81417.618942064031674.44042406818-256.821482004152
91211.690848519661481.03475728177-269.343908762108
101064.866804194041287.62909049536-222.76228630132
111073.648745582341094.22342370895-20.5746781266085
121113.54178791875900.81775692254212.724030996205



Parameters (Session):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
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')