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Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 22 Dec 2011 15:35:27 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/22/t13245861416wxjuige4cty154.htm/, Retrieved Fri, 03 May 2024 09:20:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159957, Retrieved Fri, 03 May 2024 09:20:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2011-12-22 20:35:27] [c7041fab4904771a5085f5eb0f28763f] [Current]
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Dataseries X:
4581945
3874038
4086290
4364364
3793586
4533914
4823043
3981535
4746356
5284534
4264830
3924674
3734753
3762290
3609739
3877594
3636415
3578195
3604342
3459513
3366571
3371277
3724848
3350830
3305159
3390736
3349758
3253655
3734250
3455433
2966726
2993716
3009320
3169713
3170061
3368934
3292638
3337344
3208306
3359130
3223078
3437159
3400156
3657576
3765613
3481921
3604800
3981340
3734078
4018173
3887417
3919880
4014466
4197758
3896531
3964742
4201847
4050512
3997402
4314479
4925744
5130631
4444855
3967319
3931250
4235952
4169219
3779064
3558810
3699466
3650693
3525633
3470276
3859094
3661155
3356365
3344440
3338684
3404294
3289319
3469252
3571850
3639914
3091730
3078149
3188115
3246082
3486992
3378187
3282306
3288345
3325749
3352262
3531954
3722622
3809365
3750617
3615286
3696556
4123959
4136163
3933392
4035576
4551202
4032195
3970893
4489016
5426127
4578224
4126390
4892100
4128697
4408721
4199465
4074767
4161758
3891319
4470302
4283111
3845962
3911471
3798478
3644313
3784029
3647134
3994662
3607836
3566008
3511412
3258665
3486573
3369443
3465544
3905224
3733881
3220642
3225812
3354461
3352261
3450652




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159957&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159957&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
145819454581945000
238740384045805.52015643-151179.983906444-151179.983904225-0.590981360783827
340862904095231.49747194-117191.226101075-117191.2261010750.943073323492295
443643644257049.52626095-84827.6740473742-84827.67404737421.52265319912896
537935863886845.92623351-55843.4836486622167530.450947116-1.98917001255584
645339144294074.84965113-2297.70223007435-2297.702225425092.09828624189631
748230434591456.8548171520565.995286444220565.99528644431.64262540017482
839815354253824.96885982-115.441079502536-115.441079502531-2.06070433677761
947463564497137.13442916-12840.967699914838522.90310217511.57661836885806
1052845344961509.1712132623131.500527474323131.50053226512.4173148105487
1142648304570664.829477122158.570250161912158.57025016197-2.34170240694995
1239246744215299.31807016-11826.0976898798-11826.0976898798-2.08443716366479
1337347533945636.59782867-2821.495880186688464.48761323938-1.62798798859503
1437622903840327.70625222-8569.02667157004-8569.02664591782-0.543908861436831
1536097393713259.94007951-13072.1439694283-13072.1439694282-0.680195306657841
1638775943804876.80420706-9972.16568128213-9972.16568128210.614371581620458
1736364153696876.23214563-7403.3261358231422209.978378506-0.610953505668512
1835781953630172.99730602-10051.4037399344-10051.4037119762-0.323059801147393
1936043423616948.53841922-10147.8856522521-10147.885652252-0.0183713381777707
2034595133531440.73883713-11943.2886434466-11943.2886434466-0.444001601833179
2133665713420246.77008072-9862.0691653850229586.2074647727-0.61370208532179
2233712773393800.26568799-10477.3240805409-10477.3240494471-0.0918828321171926
2337248483578024.56463607-5543.1862536767-5543.186253676551.13370800301425
2433508303453741.8167305-7909.61890879691-7909.61890879686-0.701432578708935
2533051593358772.4098212-6388.0449550655219164.1348354363-0.53547082310698
2633907363377635.45959898-5586.8603070291-5586.86027682190.141548208658536
2733497583362818.98235805-5787.36185978581-5787.36185978564-0.0539592194004563
2832536553303416.37599519-6705.75520208745-6705.7552020874-0.317321449145983
2937342503518887.42739502-10034.488687851930103.46603657411.36132243191204
3034554333484452.11979126-10710.8049638388-10710.8049372953-0.137968432928489
3129667263199724.02279633-15919.7461636734-15919.7461636733-1.60681465912977
3229937163088122.90976859-17356.7879255664-17356.7879255663-0.567093932309091
3330093203010113.48862225-16561.587238865649684.7616798113-0.370565605089828
3431697133101648.63966931-13901.7798505547-13901.77981180980.61527200307606
3531700613140836.79710204-13004.6526632726-13004.65266327240.312040967840617
3633689343267421.13150519-11138.1144196454-11138.11441964540.828245106768538
3732926383257858.93682514-11156.481443219533469.44429487120.00960675826966371
3833373443303676.77383091-9896.06081010391-9896.060774275710.325996915234921
3932083063252098.29204275-10530.011569327-10530.0115693269-0.245447760526852
4033591303311930.34256412-9682.15067968284-9682.150679682790.417859938304981
4132230783244114.14800309-9072.3304424765527216.991290604-0.353747442759792
4234371593353032.0342048-6701.355557677-6701.355518681320.678000961665578
4334001563379698.48490265-6239.98219804341-6239.982198043280.196785086811823
4436575763532949.36258351-4490.99725277794-4490.997252777880.947856912173543
4537656133648857.43025117-5639.207576349816917.62269619290.731554161033231
4634819213556380.44508171-7237.65757181251-7237.65754056198-0.50075381242889
4736048003583804.65458219-6798.31760596494-6798.317605964820.204674622391588
4839813403802831.21477179-4526.28466730186-4526.28466730181.34289258802196
4937340783756356.12583423-4159.5552128182812478.6656113803-0.254571201696973
5040181733902712.52762052-1603.58737640335-1603.587346532940.870535532682176
5138874173894448.82168634-1681.51279754196-1681.51279754185-0.0393691904251765
5239198803908582.89205643-1534.52249012166-1534.52249012160.0940972543104105
5340144663962557.71804358-1982.487544733725947.462605528250.33651438513779
5441977584093693.8627799115.525586228059115.5256173831720.771865951576386
5538965313985080.70497577-1065.78931456838-1065.78931456827-0.643301372007233
5639647423974014.62499054-1152.14844607127-1152.14844607121-0.0595243899261413
5742018474094771.05848745-2065.713592742896197.14074637210.738386515160429
5840505124070390.85594358-2393.81155857301-2393.81152713411-0.129669735265175
5939974024030438.21220343-2774.68285421563-2774.68285421554-0.222395011108581
6043144794186718.50941626-1491.99861070087-1491.998610700810.947097838022299
6149257444583505.31796669-4277.7319912334512833.19595193732.41046069728509
6251306314887988.27045604-23.2755120498388-23.27548449319021.79763201014486
6344448554643998.94202758-2342.66504921255-2342.66504921251-1.4455789464271
6439673194272574.5921283-5134.41443088911-5134.41443088904-2.19844046044534
6539312504077016.53137057-3885.7275652692911657.1826513059-1.15169886527252
6642359524165695.24158865-2685.70034730599-2685.700301062830.53982191272063
6741692194167906.47833529-2641.88301549661-2641.883015496550.0290336012495073
6837790643954604.35727171-4142.23478254695-4142.23478254689-1.25516970346297
6935588103731436.31863671-2790.451761606788371.35523060893-1.32389345723338
7036994663714002.23427648-2969.69477418622-2969.69472025105-0.085526381568437
7136506933679453.97478006-3236.56220993674-3236.56220993665-0.187328220230245
7235256333595291.20308689-3781.11641882226-3781.11641882221-0.482305913087673
7334702763519596.77019222-3361.9325818293610085.7976878344-0.434445727606402
7438590943708247.5441969-1135.92797018031-1135.92790889911.1229408492559
7536611553682443.74435448-1333.42410208099-1333.42410208089-0.146403717124131
7633563653503488.3766114-2466.12464743647-2466.12464743642-1.05884305514668
7733444403412018.0997653-1974.616493925565923.84941487589-0.537439014000532
7833386843371582.2614377-2398.10165482331-2398.10158865063-0.225199244475753
7934042943389824.95415613-2241.10830651284-2241.108306512730.122556214232
8032893193334846.90419876-2560.69595087461-2560.69595087457-0.314442588862792
8134692523402498.29752547-2929.046795705138787.140321910510.423783610812528
8235718503496646.96315727-1911.27418098618-1911.274113941040.569023463831065
8336399143575671.34134229-1324.98843671898-1324.988436718860.480749955905978
8430917303310019.96742307-2850.96047488751-2850.96047488746-1.57633927344459
8530781493178079.28828285-2205.964068312636617.89213274922-0.778852017810266
8631881153183874.9633945-2125.90310190803-2125.903029567620.0469475791053076
8732460823218314.40006953-1873.0669039553-1873.066903955170.217272051128636
8834869923366055.89110531-1048.38600757682-1048.386007576770.892397363291995
8933781873370462.4406594-1074.402969165273223.208838956970.0329002537463523
9032823063321771.73483671-1530.03463076095-1530.03456312757-0.279625032043285
9132883453303535.54881674-1640.53001751491-1640.53001751479-0.0993006277615482
9233257493315896.44816243-1566.69213772733-1566.692137727290.0835267364115863
9333522623332403.49241642-1649.146574153894947.439654986560.10897257194037
9435319543443018.58604804-619.840995416936-619.8409258049980.659804466453508
9537226223596891.69134547359.414379666942359.4143796670850.918573113790481
9638093653713544.5757469947.269600864788947.2696008648570.693859383985336
9737506173735692.95290093854.576980801503-2563.731005348410.127790653580906
9836152863668985.24311587259.994250036498259.994311692657-0.397377129993262
9936965563684124.89235073350.537096759659350.5370967597980.0884946503769229
10041239593925641.443019511521.078253891351521.078253891431.43909746253325
10141361634043400.595262651033.20179428831-3099.605437478270.700439274722226
10239333923982445.0030195508.724453415762508.724506846321-0.364847253547909
10340355764011617.58826121676.436848567488676.4368485676220.170517407579057
10445512024307881.904633542056.190959428422056.190959428521.76406359985885
10540321954162076.036503782652.93515986779-7958.8055297749-0.890777943072889
10639708934056080.154402261767.836686148341767.83673424496-0.639881814558798
10744890164294014.990111713098.479870567673098.479870567821.40525438519986
10854261274915444.118200455878.305208882645878.305208882783.69060822968903
10945782244744064.367141276567.19558015515-19701.5867744425-1.067621673058
11041263904401912.530753923828.173838817633828.17386612944-2.05497827393782
11148921004671113.996773945269.982148263825269.982148263981.57938262836076
11241286974372712.284124983953.321906243223953.32190624333-1.81270656240782
11344087214400590.301140973863.66182113301-11590.98548864470.144066735657994
11441994654289024.570294412988.381011979922988.38103501735-0.6805920400949
11540747674170899.180800622353.041454439242353.04145443939-0.72096061006904
11641617584165647.647559852321.201920315422321.20192031551-0.045398444786747
11738913194021006.403156582852.9694472916-8558.90837115904-0.884781532331104
11844703024268970.613322224649.461761106644649.461795082951.44596047889088
11942831114276282.413831384662.962399924154662.962399924310.0158512425739429
12038459624039503.529048063685.636860746793685.63686074687-1.44151308598138
12139114713977419.563332423915.68562003401-11747.0568996756-0.395888685675404
12237984783878152.464029363183.895934294643183.8959718913-0.608987852304318
12336443133749251.697250932535.702351307062535.7023513072-0.786554946543421
12437840293768101.007094192599.615573151472599.615573151520.0974077416567289
12536471343707583.410124972813.26630393513-8439.79895387696-0.379856130822346
12639946623865855.286785953881.252274890813881.252319942410.9179334281527
12736078363723595.443740643186.487057558683186.48705755881-0.870404040770609
12835660083636740.023199772844.705876126712844.70587612674-0.537679202879502
12935114123574342.644511313058.64898558593-9175.94700863674-0.392579289622129
13032586653399691.372161841874.896458879691874.89650734953-1.04976270912239
13134865733447274.721846062085.613583435982085.613583436110.272278004637474
13233694433404327.054438831919.837818154251919.83781815425-0.268933623004877
13334655443441731.376302591807.00197906002-5421.005984552930.213486596986303
13439052243697461.584474353448.541382872673448.541435119271.50056229904369
13537338813717141.784923383521.169152541623521.169152541760.0967035585069598
13632206423444135.366884172533.057371947652533.05737194766-1.65150921967089
13732258123330326.560171582892.12937367556-8676.38818012877-0.699849500499621
13833544613343349.179504272955.743990610742955.744049907240.0598886208660957
13933522613347954.474236082962.91396707442962.913967074540.009828903930331
14034506523404060.825405033147.403057125113147.403057125110.317410604925342

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 4581945 & 4581945 & 0 & 0 & 0 \tabularnewline
2 & 3874038 & 4045805.52015643 & -151179.983906444 & -151179.983904225 & -0.590981360783827 \tabularnewline
3 & 4086290 & 4095231.49747194 & -117191.226101075 & -117191.226101075 & 0.943073323492295 \tabularnewline
4 & 4364364 & 4257049.52626095 & -84827.6740473742 & -84827.6740473742 & 1.52265319912896 \tabularnewline
5 & 3793586 & 3886845.92623351 & -55843.4836486622 & 167530.450947116 & -1.98917001255584 \tabularnewline
6 & 4533914 & 4294074.84965113 & -2297.70223007435 & -2297.70222542509 & 2.09828624189631 \tabularnewline
7 & 4823043 & 4591456.85481715 & 20565.9952864442 & 20565.9952864443 & 1.64262540017482 \tabularnewline
8 & 3981535 & 4253824.96885982 & -115.441079502536 & -115.441079502531 & -2.06070433677761 \tabularnewline
9 & 4746356 & 4497137.13442916 & -12840.9676999148 & 38522.9031021751 & 1.57661836885806 \tabularnewline
10 & 5284534 & 4961509.17121326 & 23131.5005274743 & 23131.5005322651 & 2.4173148105487 \tabularnewline
11 & 4264830 & 4570664.82947712 & 2158.57025016191 & 2158.57025016197 & -2.34170240694995 \tabularnewline
12 & 3924674 & 4215299.31807016 & -11826.0976898798 & -11826.0976898798 & -2.08443716366479 \tabularnewline
13 & 3734753 & 3945636.59782867 & -2821.49588018668 & 8464.48761323938 & -1.62798798859503 \tabularnewline
14 & 3762290 & 3840327.70625222 & -8569.02667157004 & -8569.02664591782 & -0.543908861436831 \tabularnewline
15 & 3609739 & 3713259.94007951 & -13072.1439694283 & -13072.1439694282 & -0.680195306657841 \tabularnewline
16 & 3877594 & 3804876.80420706 & -9972.16568128213 & -9972.1656812821 & 0.614371581620458 \tabularnewline
17 & 3636415 & 3696876.23214563 & -7403.32613582314 & 22209.978378506 & -0.610953505668512 \tabularnewline
18 & 3578195 & 3630172.99730602 & -10051.4037399344 & -10051.4037119762 & -0.323059801147393 \tabularnewline
19 & 3604342 & 3616948.53841922 & -10147.8856522521 & -10147.885652252 & -0.0183713381777707 \tabularnewline
20 & 3459513 & 3531440.73883713 & -11943.2886434466 & -11943.2886434466 & -0.444001601833179 \tabularnewline
21 & 3366571 & 3420246.77008072 & -9862.06916538502 & 29586.2074647727 & -0.61370208532179 \tabularnewline
22 & 3371277 & 3393800.26568799 & -10477.3240805409 & -10477.3240494471 & -0.0918828321171926 \tabularnewline
23 & 3724848 & 3578024.56463607 & -5543.1862536767 & -5543.18625367655 & 1.13370800301425 \tabularnewline
24 & 3350830 & 3453741.8167305 & -7909.61890879691 & -7909.61890879686 & -0.701432578708935 \tabularnewline
25 & 3305159 & 3358772.4098212 & -6388.04495506552 & 19164.1348354363 & -0.53547082310698 \tabularnewline
26 & 3390736 & 3377635.45959898 & -5586.8603070291 & -5586.8602768219 & 0.141548208658536 \tabularnewline
27 & 3349758 & 3362818.98235805 & -5787.36185978581 & -5787.36185978564 & -0.0539592194004563 \tabularnewline
28 & 3253655 & 3303416.37599519 & -6705.75520208745 & -6705.7552020874 & -0.317321449145983 \tabularnewline
29 & 3734250 & 3518887.42739502 & -10034.4886878519 & 30103.4660365741 & 1.36132243191204 \tabularnewline
30 & 3455433 & 3484452.11979126 & -10710.8049638388 & -10710.8049372953 & -0.137968432928489 \tabularnewline
31 & 2966726 & 3199724.02279633 & -15919.7461636734 & -15919.7461636733 & -1.60681465912977 \tabularnewline
32 & 2993716 & 3088122.90976859 & -17356.7879255664 & -17356.7879255663 & -0.567093932309091 \tabularnewline
33 & 3009320 & 3010113.48862225 & -16561.5872388656 & 49684.7616798113 & -0.370565605089828 \tabularnewline
34 & 3169713 & 3101648.63966931 & -13901.7798505547 & -13901.7798118098 & 0.61527200307606 \tabularnewline
35 & 3170061 & 3140836.79710204 & -13004.6526632726 & -13004.6526632724 & 0.312040967840617 \tabularnewline
36 & 3368934 & 3267421.13150519 & -11138.1144196454 & -11138.1144196454 & 0.828245106768538 \tabularnewline
37 & 3292638 & 3257858.93682514 & -11156.4814432195 & 33469.4442948712 & 0.00960675826966371 \tabularnewline
38 & 3337344 & 3303676.77383091 & -9896.06081010391 & -9896.06077427571 & 0.325996915234921 \tabularnewline
39 & 3208306 & 3252098.29204275 & -10530.011569327 & -10530.0115693269 & -0.245447760526852 \tabularnewline
40 & 3359130 & 3311930.34256412 & -9682.15067968284 & -9682.15067968279 & 0.417859938304981 \tabularnewline
41 & 3223078 & 3244114.14800309 & -9072.33044247655 & 27216.991290604 & -0.353747442759792 \tabularnewline
42 & 3437159 & 3353032.0342048 & -6701.355557677 & -6701.35551868132 & 0.678000961665578 \tabularnewline
43 & 3400156 & 3379698.48490265 & -6239.98219804341 & -6239.98219804328 & 0.196785086811823 \tabularnewline
44 & 3657576 & 3532949.36258351 & -4490.99725277794 & -4490.99725277788 & 0.947856912173543 \tabularnewline
45 & 3765613 & 3648857.43025117 & -5639.2075763498 & 16917.6226961929 & 0.731554161033231 \tabularnewline
46 & 3481921 & 3556380.44508171 & -7237.65757181251 & -7237.65754056198 & -0.50075381242889 \tabularnewline
47 & 3604800 & 3583804.65458219 & -6798.31760596494 & -6798.31760596482 & 0.204674622391588 \tabularnewline
48 & 3981340 & 3802831.21477179 & -4526.28466730186 & -4526.2846673018 & 1.34289258802196 \tabularnewline
49 & 3734078 & 3756356.12583423 & -4159.55521281828 & 12478.6656113803 & -0.254571201696973 \tabularnewline
50 & 4018173 & 3902712.52762052 & -1603.58737640335 & -1603.58734653294 & 0.870535532682176 \tabularnewline
51 & 3887417 & 3894448.82168634 & -1681.51279754196 & -1681.51279754185 & -0.0393691904251765 \tabularnewline
52 & 3919880 & 3908582.89205643 & -1534.52249012166 & -1534.5224901216 & 0.0940972543104105 \tabularnewline
53 & 4014466 & 3962557.71804358 & -1982.48754473372 & 5947.46260552825 & 0.33651438513779 \tabularnewline
54 & 4197758 & 4093693.8627799 & 115.525586228059 & 115.525617383172 & 0.771865951576386 \tabularnewline
55 & 3896531 & 3985080.70497577 & -1065.78931456838 & -1065.78931456827 & -0.643301372007233 \tabularnewline
56 & 3964742 & 3974014.62499054 & -1152.14844607127 & -1152.14844607121 & -0.0595243899261413 \tabularnewline
57 & 4201847 & 4094771.05848745 & -2065.71359274289 & 6197.1407463721 & 0.738386515160429 \tabularnewline
58 & 4050512 & 4070390.85594358 & -2393.81155857301 & -2393.81152713411 & -0.129669735265175 \tabularnewline
59 & 3997402 & 4030438.21220343 & -2774.68285421563 & -2774.68285421554 & -0.222395011108581 \tabularnewline
60 & 4314479 & 4186718.50941626 & -1491.99861070087 & -1491.99861070081 & 0.947097838022299 \tabularnewline
61 & 4925744 & 4583505.31796669 & -4277.73199123345 & 12833.1959519373 & 2.41046069728509 \tabularnewline
62 & 5130631 & 4887988.27045604 & -23.2755120498388 & -23.2754844931902 & 1.79763201014486 \tabularnewline
63 & 4444855 & 4643998.94202758 & -2342.66504921255 & -2342.66504921251 & -1.4455789464271 \tabularnewline
64 & 3967319 & 4272574.5921283 & -5134.41443088911 & -5134.41443088904 & -2.19844046044534 \tabularnewline
65 & 3931250 & 4077016.53137057 & -3885.72756526929 & 11657.1826513059 & -1.15169886527252 \tabularnewline
66 & 4235952 & 4165695.24158865 & -2685.70034730599 & -2685.70030106283 & 0.53982191272063 \tabularnewline
67 & 4169219 & 4167906.47833529 & -2641.88301549661 & -2641.88301549655 & 0.0290336012495073 \tabularnewline
68 & 3779064 & 3954604.35727171 & -4142.23478254695 & -4142.23478254689 & -1.25516970346297 \tabularnewline
69 & 3558810 & 3731436.31863671 & -2790.45176160678 & 8371.35523060893 & -1.32389345723338 \tabularnewline
70 & 3699466 & 3714002.23427648 & -2969.69477418622 & -2969.69472025105 & -0.085526381568437 \tabularnewline
71 & 3650693 & 3679453.97478006 & -3236.56220993674 & -3236.56220993665 & -0.187328220230245 \tabularnewline
72 & 3525633 & 3595291.20308689 & -3781.11641882226 & -3781.11641882221 & -0.482305913087673 \tabularnewline
73 & 3470276 & 3519596.77019222 & -3361.93258182936 & 10085.7976878344 & -0.434445727606402 \tabularnewline
74 & 3859094 & 3708247.5441969 & -1135.92797018031 & -1135.9279088991 & 1.1229408492559 \tabularnewline
75 & 3661155 & 3682443.74435448 & -1333.42410208099 & -1333.42410208089 & -0.146403717124131 \tabularnewline
76 & 3356365 & 3503488.3766114 & -2466.12464743647 & -2466.12464743642 & -1.05884305514668 \tabularnewline
77 & 3344440 & 3412018.0997653 & -1974.61649392556 & 5923.84941487589 & -0.537439014000532 \tabularnewline
78 & 3338684 & 3371582.2614377 & -2398.10165482331 & -2398.10158865063 & -0.225199244475753 \tabularnewline
79 & 3404294 & 3389824.95415613 & -2241.10830651284 & -2241.10830651273 & 0.122556214232 \tabularnewline
80 & 3289319 & 3334846.90419876 & -2560.69595087461 & -2560.69595087457 & -0.314442588862792 \tabularnewline
81 & 3469252 & 3402498.29752547 & -2929.04679570513 & 8787.14032191051 & 0.423783610812528 \tabularnewline
82 & 3571850 & 3496646.96315727 & -1911.27418098618 & -1911.27411394104 & 0.569023463831065 \tabularnewline
83 & 3639914 & 3575671.34134229 & -1324.98843671898 & -1324.98843671886 & 0.480749955905978 \tabularnewline
84 & 3091730 & 3310019.96742307 & -2850.96047488751 & -2850.96047488746 & -1.57633927344459 \tabularnewline
85 & 3078149 & 3178079.28828285 & -2205.96406831263 & 6617.89213274922 & -0.778852017810266 \tabularnewline
86 & 3188115 & 3183874.9633945 & -2125.90310190803 & -2125.90302956762 & 0.0469475791053076 \tabularnewline
87 & 3246082 & 3218314.40006953 & -1873.0669039553 & -1873.06690395517 & 0.217272051128636 \tabularnewline
88 & 3486992 & 3366055.89110531 & -1048.38600757682 & -1048.38600757677 & 0.892397363291995 \tabularnewline
89 & 3378187 & 3370462.4406594 & -1074.40296916527 & 3223.20883895697 & 0.0329002537463523 \tabularnewline
90 & 3282306 & 3321771.73483671 & -1530.03463076095 & -1530.03456312757 & -0.279625032043285 \tabularnewline
91 & 3288345 & 3303535.54881674 & -1640.53001751491 & -1640.53001751479 & -0.0993006277615482 \tabularnewline
92 & 3325749 & 3315896.44816243 & -1566.69213772733 & -1566.69213772729 & 0.0835267364115863 \tabularnewline
93 & 3352262 & 3332403.49241642 & -1649.14657415389 & 4947.43965498656 & 0.10897257194037 \tabularnewline
94 & 3531954 & 3443018.58604804 & -619.840995416936 & -619.840925804998 & 0.659804466453508 \tabularnewline
95 & 3722622 & 3596891.69134547 & 359.414379666942 & 359.414379667085 & 0.918573113790481 \tabularnewline
96 & 3809365 & 3713544.5757469 & 947.269600864788 & 947.269600864857 & 0.693859383985336 \tabularnewline
97 & 3750617 & 3735692.95290093 & 854.576980801503 & -2563.73100534841 & 0.127790653580906 \tabularnewline
98 & 3615286 & 3668985.24311587 & 259.994250036498 & 259.994311692657 & -0.397377129993262 \tabularnewline
99 & 3696556 & 3684124.89235073 & 350.537096759659 & 350.537096759798 & 0.0884946503769229 \tabularnewline
100 & 4123959 & 3925641.44301951 & 1521.07825389135 & 1521.07825389143 & 1.43909746253325 \tabularnewline
101 & 4136163 & 4043400.59526265 & 1033.20179428831 & -3099.60543747827 & 0.700439274722226 \tabularnewline
102 & 3933392 & 3982445.0030195 & 508.724453415762 & 508.724506846321 & -0.364847253547909 \tabularnewline
103 & 4035576 & 4011617.58826121 & 676.436848567488 & 676.436848567622 & 0.170517407579057 \tabularnewline
104 & 4551202 & 4307881.90463354 & 2056.19095942842 & 2056.19095942852 & 1.76406359985885 \tabularnewline
105 & 4032195 & 4162076.03650378 & 2652.93515986779 & -7958.8055297749 & -0.890777943072889 \tabularnewline
106 & 3970893 & 4056080.15440226 & 1767.83668614834 & 1767.83673424496 & -0.639881814558798 \tabularnewline
107 & 4489016 & 4294014.99011171 & 3098.47987056767 & 3098.47987056782 & 1.40525438519986 \tabularnewline
108 & 5426127 & 4915444.11820045 & 5878.30520888264 & 5878.30520888278 & 3.69060822968903 \tabularnewline
109 & 4578224 & 4744064.36714127 & 6567.19558015515 & -19701.5867744425 & -1.067621673058 \tabularnewline
110 & 4126390 & 4401912.53075392 & 3828.17383881763 & 3828.17386612944 & -2.05497827393782 \tabularnewline
111 & 4892100 & 4671113.99677394 & 5269.98214826382 & 5269.98214826398 & 1.57938262836076 \tabularnewline
112 & 4128697 & 4372712.28412498 & 3953.32190624322 & 3953.32190624333 & -1.81270656240782 \tabularnewline
113 & 4408721 & 4400590.30114097 & 3863.66182113301 & -11590.9854886447 & 0.144066735657994 \tabularnewline
114 & 4199465 & 4289024.57029441 & 2988.38101197992 & 2988.38103501735 & -0.6805920400949 \tabularnewline
115 & 4074767 & 4170899.18080062 & 2353.04145443924 & 2353.04145443939 & -0.72096061006904 \tabularnewline
116 & 4161758 & 4165647.64755985 & 2321.20192031542 & 2321.20192031551 & -0.045398444786747 \tabularnewline
117 & 3891319 & 4021006.40315658 & 2852.9694472916 & -8558.90837115904 & -0.884781532331104 \tabularnewline
118 & 4470302 & 4268970.61332222 & 4649.46176110664 & 4649.46179508295 & 1.44596047889088 \tabularnewline
119 & 4283111 & 4276282.41383138 & 4662.96239992415 & 4662.96239992431 & 0.0158512425739429 \tabularnewline
120 & 3845962 & 4039503.52904806 & 3685.63686074679 & 3685.63686074687 & -1.44151308598138 \tabularnewline
121 & 3911471 & 3977419.56333242 & 3915.68562003401 & -11747.0568996756 & -0.395888685675404 \tabularnewline
122 & 3798478 & 3878152.46402936 & 3183.89593429464 & 3183.8959718913 & -0.608987852304318 \tabularnewline
123 & 3644313 & 3749251.69725093 & 2535.70235130706 & 2535.7023513072 & -0.786554946543421 \tabularnewline
124 & 3784029 & 3768101.00709419 & 2599.61557315147 & 2599.61557315152 & 0.0974077416567289 \tabularnewline
125 & 3647134 & 3707583.41012497 & 2813.26630393513 & -8439.79895387696 & -0.379856130822346 \tabularnewline
126 & 3994662 & 3865855.28678595 & 3881.25227489081 & 3881.25231994241 & 0.9179334281527 \tabularnewline
127 & 3607836 & 3723595.44374064 & 3186.48705755868 & 3186.48705755881 & -0.870404040770609 \tabularnewline
128 & 3566008 & 3636740.02319977 & 2844.70587612671 & 2844.70587612674 & -0.537679202879502 \tabularnewline
129 & 3511412 & 3574342.64451131 & 3058.64898558593 & -9175.94700863674 & -0.392579289622129 \tabularnewline
130 & 3258665 & 3399691.37216184 & 1874.89645887969 & 1874.89650734953 & -1.04976270912239 \tabularnewline
131 & 3486573 & 3447274.72184606 & 2085.61358343598 & 2085.61358343611 & 0.272278004637474 \tabularnewline
132 & 3369443 & 3404327.05443883 & 1919.83781815425 & 1919.83781815425 & -0.268933623004877 \tabularnewline
133 & 3465544 & 3441731.37630259 & 1807.00197906002 & -5421.00598455293 & 0.213486596986303 \tabularnewline
134 & 3905224 & 3697461.58447435 & 3448.54138287267 & 3448.54143511927 & 1.50056229904369 \tabularnewline
135 & 3733881 & 3717141.78492338 & 3521.16915254162 & 3521.16915254176 & 0.0967035585069598 \tabularnewline
136 & 3220642 & 3444135.36688417 & 2533.05737194765 & 2533.05737194766 & -1.65150921967089 \tabularnewline
137 & 3225812 & 3330326.56017158 & 2892.12937367556 & -8676.38818012877 & -0.699849500499621 \tabularnewline
138 & 3354461 & 3343349.17950427 & 2955.74399061074 & 2955.74404990724 & 0.0598886208660957 \tabularnewline
139 & 3352261 & 3347954.47423608 & 2962.9139670744 & 2962.91396707454 & 0.009828903930331 \tabularnewline
140 & 3450652 & 3404060.82540503 & 3147.40305712511 & 3147.40305712511 & 0.317410604925342 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159957&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]4581945[/C][C]4581945[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3874038[/C][C]4045805.52015643[/C][C]-151179.983906444[/C][C]-151179.983904225[/C][C]-0.590981360783827[/C][/ROW]
[ROW][C]3[/C][C]4086290[/C][C]4095231.49747194[/C][C]-117191.226101075[/C][C]-117191.226101075[/C][C]0.943073323492295[/C][/ROW]
[ROW][C]4[/C][C]4364364[/C][C]4257049.52626095[/C][C]-84827.6740473742[/C][C]-84827.6740473742[/C][C]1.52265319912896[/C][/ROW]
[ROW][C]5[/C][C]3793586[/C][C]3886845.92623351[/C][C]-55843.4836486622[/C][C]167530.450947116[/C][C]-1.98917001255584[/C][/ROW]
[ROW][C]6[/C][C]4533914[/C][C]4294074.84965113[/C][C]-2297.70223007435[/C][C]-2297.70222542509[/C][C]2.09828624189631[/C][/ROW]
[ROW][C]7[/C][C]4823043[/C][C]4591456.85481715[/C][C]20565.9952864442[/C][C]20565.9952864443[/C][C]1.64262540017482[/C][/ROW]
[ROW][C]8[/C][C]3981535[/C][C]4253824.96885982[/C][C]-115.441079502536[/C][C]-115.441079502531[/C][C]-2.06070433677761[/C][/ROW]
[ROW][C]9[/C][C]4746356[/C][C]4497137.13442916[/C][C]-12840.9676999148[/C][C]38522.9031021751[/C][C]1.57661836885806[/C][/ROW]
[ROW][C]10[/C][C]5284534[/C][C]4961509.17121326[/C][C]23131.5005274743[/C][C]23131.5005322651[/C][C]2.4173148105487[/C][/ROW]
[ROW][C]11[/C][C]4264830[/C][C]4570664.82947712[/C][C]2158.57025016191[/C][C]2158.57025016197[/C][C]-2.34170240694995[/C][/ROW]
[ROW][C]12[/C][C]3924674[/C][C]4215299.31807016[/C][C]-11826.0976898798[/C][C]-11826.0976898798[/C][C]-2.08443716366479[/C][/ROW]
[ROW][C]13[/C][C]3734753[/C][C]3945636.59782867[/C][C]-2821.49588018668[/C][C]8464.48761323938[/C][C]-1.62798798859503[/C][/ROW]
[ROW][C]14[/C][C]3762290[/C][C]3840327.70625222[/C][C]-8569.02667157004[/C][C]-8569.02664591782[/C][C]-0.543908861436831[/C][/ROW]
[ROW][C]15[/C][C]3609739[/C][C]3713259.94007951[/C][C]-13072.1439694283[/C][C]-13072.1439694282[/C][C]-0.680195306657841[/C][/ROW]
[ROW][C]16[/C][C]3877594[/C][C]3804876.80420706[/C][C]-9972.16568128213[/C][C]-9972.1656812821[/C][C]0.614371581620458[/C][/ROW]
[ROW][C]17[/C][C]3636415[/C][C]3696876.23214563[/C][C]-7403.32613582314[/C][C]22209.978378506[/C][C]-0.610953505668512[/C][/ROW]
[ROW][C]18[/C][C]3578195[/C][C]3630172.99730602[/C][C]-10051.4037399344[/C][C]-10051.4037119762[/C][C]-0.323059801147393[/C][/ROW]
[ROW][C]19[/C][C]3604342[/C][C]3616948.53841922[/C][C]-10147.8856522521[/C][C]-10147.885652252[/C][C]-0.0183713381777707[/C][/ROW]
[ROW][C]20[/C][C]3459513[/C][C]3531440.73883713[/C][C]-11943.2886434466[/C][C]-11943.2886434466[/C][C]-0.444001601833179[/C][/ROW]
[ROW][C]21[/C][C]3366571[/C][C]3420246.77008072[/C][C]-9862.06916538502[/C][C]29586.2074647727[/C][C]-0.61370208532179[/C][/ROW]
[ROW][C]22[/C][C]3371277[/C][C]3393800.26568799[/C][C]-10477.3240805409[/C][C]-10477.3240494471[/C][C]-0.0918828321171926[/C][/ROW]
[ROW][C]23[/C][C]3724848[/C][C]3578024.56463607[/C][C]-5543.1862536767[/C][C]-5543.18625367655[/C][C]1.13370800301425[/C][/ROW]
[ROW][C]24[/C][C]3350830[/C][C]3453741.8167305[/C][C]-7909.61890879691[/C][C]-7909.61890879686[/C][C]-0.701432578708935[/C][/ROW]
[ROW][C]25[/C][C]3305159[/C][C]3358772.4098212[/C][C]-6388.04495506552[/C][C]19164.1348354363[/C][C]-0.53547082310698[/C][/ROW]
[ROW][C]26[/C][C]3390736[/C][C]3377635.45959898[/C][C]-5586.8603070291[/C][C]-5586.8602768219[/C][C]0.141548208658536[/C][/ROW]
[ROW][C]27[/C][C]3349758[/C][C]3362818.98235805[/C][C]-5787.36185978581[/C][C]-5787.36185978564[/C][C]-0.0539592194004563[/C][/ROW]
[ROW][C]28[/C][C]3253655[/C][C]3303416.37599519[/C][C]-6705.75520208745[/C][C]-6705.7552020874[/C][C]-0.317321449145983[/C][/ROW]
[ROW][C]29[/C][C]3734250[/C][C]3518887.42739502[/C][C]-10034.4886878519[/C][C]30103.4660365741[/C][C]1.36132243191204[/C][/ROW]
[ROW][C]30[/C][C]3455433[/C][C]3484452.11979126[/C][C]-10710.8049638388[/C][C]-10710.8049372953[/C][C]-0.137968432928489[/C][/ROW]
[ROW][C]31[/C][C]2966726[/C][C]3199724.02279633[/C][C]-15919.7461636734[/C][C]-15919.7461636733[/C][C]-1.60681465912977[/C][/ROW]
[ROW][C]32[/C][C]2993716[/C][C]3088122.90976859[/C][C]-17356.7879255664[/C][C]-17356.7879255663[/C][C]-0.567093932309091[/C][/ROW]
[ROW][C]33[/C][C]3009320[/C][C]3010113.48862225[/C][C]-16561.5872388656[/C][C]49684.7616798113[/C][C]-0.370565605089828[/C][/ROW]
[ROW][C]34[/C][C]3169713[/C][C]3101648.63966931[/C][C]-13901.7798505547[/C][C]-13901.7798118098[/C][C]0.61527200307606[/C][/ROW]
[ROW][C]35[/C][C]3170061[/C][C]3140836.79710204[/C][C]-13004.6526632726[/C][C]-13004.6526632724[/C][C]0.312040967840617[/C][/ROW]
[ROW][C]36[/C][C]3368934[/C][C]3267421.13150519[/C][C]-11138.1144196454[/C][C]-11138.1144196454[/C][C]0.828245106768538[/C][/ROW]
[ROW][C]37[/C][C]3292638[/C][C]3257858.93682514[/C][C]-11156.4814432195[/C][C]33469.4442948712[/C][C]0.00960675826966371[/C][/ROW]
[ROW][C]38[/C][C]3337344[/C][C]3303676.77383091[/C][C]-9896.06081010391[/C][C]-9896.06077427571[/C][C]0.325996915234921[/C][/ROW]
[ROW][C]39[/C][C]3208306[/C][C]3252098.29204275[/C][C]-10530.011569327[/C][C]-10530.0115693269[/C][C]-0.245447760526852[/C][/ROW]
[ROW][C]40[/C][C]3359130[/C][C]3311930.34256412[/C][C]-9682.15067968284[/C][C]-9682.15067968279[/C][C]0.417859938304981[/C][/ROW]
[ROW][C]41[/C][C]3223078[/C][C]3244114.14800309[/C][C]-9072.33044247655[/C][C]27216.991290604[/C][C]-0.353747442759792[/C][/ROW]
[ROW][C]42[/C][C]3437159[/C][C]3353032.0342048[/C][C]-6701.355557677[/C][C]-6701.35551868132[/C][C]0.678000961665578[/C][/ROW]
[ROW][C]43[/C][C]3400156[/C][C]3379698.48490265[/C][C]-6239.98219804341[/C][C]-6239.98219804328[/C][C]0.196785086811823[/C][/ROW]
[ROW][C]44[/C][C]3657576[/C][C]3532949.36258351[/C][C]-4490.99725277794[/C][C]-4490.99725277788[/C][C]0.947856912173543[/C][/ROW]
[ROW][C]45[/C][C]3765613[/C][C]3648857.43025117[/C][C]-5639.2075763498[/C][C]16917.6226961929[/C][C]0.731554161033231[/C][/ROW]
[ROW][C]46[/C][C]3481921[/C][C]3556380.44508171[/C][C]-7237.65757181251[/C][C]-7237.65754056198[/C][C]-0.50075381242889[/C][/ROW]
[ROW][C]47[/C][C]3604800[/C][C]3583804.65458219[/C][C]-6798.31760596494[/C][C]-6798.31760596482[/C][C]0.204674622391588[/C][/ROW]
[ROW][C]48[/C][C]3981340[/C][C]3802831.21477179[/C][C]-4526.28466730186[/C][C]-4526.2846673018[/C][C]1.34289258802196[/C][/ROW]
[ROW][C]49[/C][C]3734078[/C][C]3756356.12583423[/C][C]-4159.55521281828[/C][C]12478.6656113803[/C][C]-0.254571201696973[/C][/ROW]
[ROW][C]50[/C][C]4018173[/C][C]3902712.52762052[/C][C]-1603.58737640335[/C][C]-1603.58734653294[/C][C]0.870535532682176[/C][/ROW]
[ROW][C]51[/C][C]3887417[/C][C]3894448.82168634[/C][C]-1681.51279754196[/C][C]-1681.51279754185[/C][C]-0.0393691904251765[/C][/ROW]
[ROW][C]52[/C][C]3919880[/C][C]3908582.89205643[/C][C]-1534.52249012166[/C][C]-1534.5224901216[/C][C]0.0940972543104105[/C][/ROW]
[ROW][C]53[/C][C]4014466[/C][C]3962557.71804358[/C][C]-1982.48754473372[/C][C]5947.46260552825[/C][C]0.33651438513779[/C][/ROW]
[ROW][C]54[/C][C]4197758[/C][C]4093693.8627799[/C][C]115.525586228059[/C][C]115.525617383172[/C][C]0.771865951576386[/C][/ROW]
[ROW][C]55[/C][C]3896531[/C][C]3985080.70497577[/C][C]-1065.78931456838[/C][C]-1065.78931456827[/C][C]-0.643301372007233[/C][/ROW]
[ROW][C]56[/C][C]3964742[/C][C]3974014.62499054[/C][C]-1152.14844607127[/C][C]-1152.14844607121[/C][C]-0.0595243899261413[/C][/ROW]
[ROW][C]57[/C][C]4201847[/C][C]4094771.05848745[/C][C]-2065.71359274289[/C][C]6197.1407463721[/C][C]0.738386515160429[/C][/ROW]
[ROW][C]58[/C][C]4050512[/C][C]4070390.85594358[/C][C]-2393.81155857301[/C][C]-2393.81152713411[/C][C]-0.129669735265175[/C][/ROW]
[ROW][C]59[/C][C]3997402[/C][C]4030438.21220343[/C][C]-2774.68285421563[/C][C]-2774.68285421554[/C][C]-0.222395011108581[/C][/ROW]
[ROW][C]60[/C][C]4314479[/C][C]4186718.50941626[/C][C]-1491.99861070087[/C][C]-1491.99861070081[/C][C]0.947097838022299[/C][/ROW]
[ROW][C]61[/C][C]4925744[/C][C]4583505.31796669[/C][C]-4277.73199123345[/C][C]12833.1959519373[/C][C]2.41046069728509[/C][/ROW]
[ROW][C]62[/C][C]5130631[/C][C]4887988.27045604[/C][C]-23.2755120498388[/C][C]-23.2754844931902[/C][C]1.79763201014486[/C][/ROW]
[ROW][C]63[/C][C]4444855[/C][C]4643998.94202758[/C][C]-2342.66504921255[/C][C]-2342.66504921251[/C][C]-1.4455789464271[/C][/ROW]
[ROW][C]64[/C][C]3967319[/C][C]4272574.5921283[/C][C]-5134.41443088911[/C][C]-5134.41443088904[/C][C]-2.19844046044534[/C][/ROW]
[ROW][C]65[/C][C]3931250[/C][C]4077016.53137057[/C][C]-3885.72756526929[/C][C]11657.1826513059[/C][C]-1.15169886527252[/C][/ROW]
[ROW][C]66[/C][C]4235952[/C][C]4165695.24158865[/C][C]-2685.70034730599[/C][C]-2685.70030106283[/C][C]0.53982191272063[/C][/ROW]
[ROW][C]67[/C][C]4169219[/C][C]4167906.47833529[/C][C]-2641.88301549661[/C][C]-2641.88301549655[/C][C]0.0290336012495073[/C][/ROW]
[ROW][C]68[/C][C]3779064[/C][C]3954604.35727171[/C][C]-4142.23478254695[/C][C]-4142.23478254689[/C][C]-1.25516970346297[/C][/ROW]
[ROW][C]69[/C][C]3558810[/C][C]3731436.31863671[/C][C]-2790.45176160678[/C][C]8371.35523060893[/C][C]-1.32389345723338[/C][/ROW]
[ROW][C]70[/C][C]3699466[/C][C]3714002.23427648[/C][C]-2969.69477418622[/C][C]-2969.69472025105[/C][C]-0.085526381568437[/C][/ROW]
[ROW][C]71[/C][C]3650693[/C][C]3679453.97478006[/C][C]-3236.56220993674[/C][C]-3236.56220993665[/C][C]-0.187328220230245[/C][/ROW]
[ROW][C]72[/C][C]3525633[/C][C]3595291.20308689[/C][C]-3781.11641882226[/C][C]-3781.11641882221[/C][C]-0.482305913087673[/C][/ROW]
[ROW][C]73[/C][C]3470276[/C][C]3519596.77019222[/C][C]-3361.93258182936[/C][C]10085.7976878344[/C][C]-0.434445727606402[/C][/ROW]
[ROW][C]74[/C][C]3859094[/C][C]3708247.5441969[/C][C]-1135.92797018031[/C][C]-1135.9279088991[/C][C]1.1229408492559[/C][/ROW]
[ROW][C]75[/C][C]3661155[/C][C]3682443.74435448[/C][C]-1333.42410208099[/C][C]-1333.42410208089[/C][C]-0.146403717124131[/C][/ROW]
[ROW][C]76[/C][C]3356365[/C][C]3503488.3766114[/C][C]-2466.12464743647[/C][C]-2466.12464743642[/C][C]-1.05884305514668[/C][/ROW]
[ROW][C]77[/C][C]3344440[/C][C]3412018.0997653[/C][C]-1974.61649392556[/C][C]5923.84941487589[/C][C]-0.537439014000532[/C][/ROW]
[ROW][C]78[/C][C]3338684[/C][C]3371582.2614377[/C][C]-2398.10165482331[/C][C]-2398.10158865063[/C][C]-0.225199244475753[/C][/ROW]
[ROW][C]79[/C][C]3404294[/C][C]3389824.95415613[/C][C]-2241.10830651284[/C][C]-2241.10830651273[/C][C]0.122556214232[/C][/ROW]
[ROW][C]80[/C][C]3289319[/C][C]3334846.90419876[/C][C]-2560.69595087461[/C][C]-2560.69595087457[/C][C]-0.314442588862792[/C][/ROW]
[ROW][C]81[/C][C]3469252[/C][C]3402498.29752547[/C][C]-2929.04679570513[/C][C]8787.14032191051[/C][C]0.423783610812528[/C][/ROW]
[ROW][C]82[/C][C]3571850[/C][C]3496646.96315727[/C][C]-1911.27418098618[/C][C]-1911.27411394104[/C][C]0.569023463831065[/C][/ROW]
[ROW][C]83[/C][C]3639914[/C][C]3575671.34134229[/C][C]-1324.98843671898[/C][C]-1324.98843671886[/C][C]0.480749955905978[/C][/ROW]
[ROW][C]84[/C][C]3091730[/C][C]3310019.96742307[/C][C]-2850.96047488751[/C][C]-2850.96047488746[/C][C]-1.57633927344459[/C][/ROW]
[ROW][C]85[/C][C]3078149[/C][C]3178079.28828285[/C][C]-2205.96406831263[/C][C]6617.89213274922[/C][C]-0.778852017810266[/C][/ROW]
[ROW][C]86[/C][C]3188115[/C][C]3183874.9633945[/C][C]-2125.90310190803[/C][C]-2125.90302956762[/C][C]0.0469475791053076[/C][/ROW]
[ROW][C]87[/C][C]3246082[/C][C]3218314.40006953[/C][C]-1873.0669039553[/C][C]-1873.06690395517[/C][C]0.217272051128636[/C][/ROW]
[ROW][C]88[/C][C]3486992[/C][C]3366055.89110531[/C][C]-1048.38600757682[/C][C]-1048.38600757677[/C][C]0.892397363291995[/C][/ROW]
[ROW][C]89[/C][C]3378187[/C][C]3370462.4406594[/C][C]-1074.40296916527[/C][C]3223.20883895697[/C][C]0.0329002537463523[/C][/ROW]
[ROW][C]90[/C][C]3282306[/C][C]3321771.73483671[/C][C]-1530.03463076095[/C][C]-1530.03456312757[/C][C]-0.279625032043285[/C][/ROW]
[ROW][C]91[/C][C]3288345[/C][C]3303535.54881674[/C][C]-1640.53001751491[/C][C]-1640.53001751479[/C][C]-0.0993006277615482[/C][/ROW]
[ROW][C]92[/C][C]3325749[/C][C]3315896.44816243[/C][C]-1566.69213772733[/C][C]-1566.69213772729[/C][C]0.0835267364115863[/C][/ROW]
[ROW][C]93[/C][C]3352262[/C][C]3332403.49241642[/C][C]-1649.14657415389[/C][C]4947.43965498656[/C][C]0.10897257194037[/C][/ROW]
[ROW][C]94[/C][C]3531954[/C][C]3443018.58604804[/C][C]-619.840995416936[/C][C]-619.840925804998[/C][C]0.659804466453508[/C][/ROW]
[ROW][C]95[/C][C]3722622[/C][C]3596891.69134547[/C][C]359.414379666942[/C][C]359.414379667085[/C][C]0.918573113790481[/C][/ROW]
[ROW][C]96[/C][C]3809365[/C][C]3713544.5757469[/C][C]947.269600864788[/C][C]947.269600864857[/C][C]0.693859383985336[/C][/ROW]
[ROW][C]97[/C][C]3750617[/C][C]3735692.95290093[/C][C]854.576980801503[/C][C]-2563.73100534841[/C][C]0.127790653580906[/C][/ROW]
[ROW][C]98[/C][C]3615286[/C][C]3668985.24311587[/C][C]259.994250036498[/C][C]259.994311692657[/C][C]-0.397377129993262[/C][/ROW]
[ROW][C]99[/C][C]3696556[/C][C]3684124.89235073[/C][C]350.537096759659[/C][C]350.537096759798[/C][C]0.0884946503769229[/C][/ROW]
[ROW][C]100[/C][C]4123959[/C][C]3925641.44301951[/C][C]1521.07825389135[/C][C]1521.07825389143[/C][C]1.43909746253325[/C][/ROW]
[ROW][C]101[/C][C]4136163[/C][C]4043400.59526265[/C][C]1033.20179428831[/C][C]-3099.60543747827[/C][C]0.700439274722226[/C][/ROW]
[ROW][C]102[/C][C]3933392[/C][C]3982445.0030195[/C][C]508.724453415762[/C][C]508.724506846321[/C][C]-0.364847253547909[/C][/ROW]
[ROW][C]103[/C][C]4035576[/C][C]4011617.58826121[/C][C]676.436848567488[/C][C]676.436848567622[/C][C]0.170517407579057[/C][/ROW]
[ROW][C]104[/C][C]4551202[/C][C]4307881.90463354[/C][C]2056.19095942842[/C][C]2056.19095942852[/C][C]1.76406359985885[/C][/ROW]
[ROW][C]105[/C][C]4032195[/C][C]4162076.03650378[/C][C]2652.93515986779[/C][C]-7958.8055297749[/C][C]-0.890777943072889[/C][/ROW]
[ROW][C]106[/C][C]3970893[/C][C]4056080.15440226[/C][C]1767.83668614834[/C][C]1767.83673424496[/C][C]-0.639881814558798[/C][/ROW]
[ROW][C]107[/C][C]4489016[/C][C]4294014.99011171[/C][C]3098.47987056767[/C][C]3098.47987056782[/C][C]1.40525438519986[/C][/ROW]
[ROW][C]108[/C][C]5426127[/C][C]4915444.11820045[/C][C]5878.30520888264[/C][C]5878.30520888278[/C][C]3.69060822968903[/C][/ROW]
[ROW][C]109[/C][C]4578224[/C][C]4744064.36714127[/C][C]6567.19558015515[/C][C]-19701.5867744425[/C][C]-1.067621673058[/C][/ROW]
[ROW][C]110[/C][C]4126390[/C][C]4401912.53075392[/C][C]3828.17383881763[/C][C]3828.17386612944[/C][C]-2.05497827393782[/C][/ROW]
[ROW][C]111[/C][C]4892100[/C][C]4671113.99677394[/C][C]5269.98214826382[/C][C]5269.98214826398[/C][C]1.57938262836076[/C][/ROW]
[ROW][C]112[/C][C]4128697[/C][C]4372712.28412498[/C][C]3953.32190624322[/C][C]3953.32190624333[/C][C]-1.81270656240782[/C][/ROW]
[ROW][C]113[/C][C]4408721[/C][C]4400590.30114097[/C][C]3863.66182113301[/C][C]-11590.9854886447[/C][C]0.144066735657994[/C][/ROW]
[ROW][C]114[/C][C]4199465[/C][C]4289024.57029441[/C][C]2988.38101197992[/C][C]2988.38103501735[/C][C]-0.6805920400949[/C][/ROW]
[ROW][C]115[/C][C]4074767[/C][C]4170899.18080062[/C][C]2353.04145443924[/C][C]2353.04145443939[/C][C]-0.72096061006904[/C][/ROW]
[ROW][C]116[/C][C]4161758[/C][C]4165647.64755985[/C][C]2321.20192031542[/C][C]2321.20192031551[/C][C]-0.045398444786747[/C][/ROW]
[ROW][C]117[/C][C]3891319[/C][C]4021006.40315658[/C][C]2852.9694472916[/C][C]-8558.90837115904[/C][C]-0.884781532331104[/C][/ROW]
[ROW][C]118[/C][C]4470302[/C][C]4268970.61332222[/C][C]4649.46176110664[/C][C]4649.46179508295[/C][C]1.44596047889088[/C][/ROW]
[ROW][C]119[/C][C]4283111[/C][C]4276282.41383138[/C][C]4662.96239992415[/C][C]4662.96239992431[/C][C]0.0158512425739429[/C][/ROW]
[ROW][C]120[/C][C]3845962[/C][C]4039503.52904806[/C][C]3685.63686074679[/C][C]3685.63686074687[/C][C]-1.44151308598138[/C][/ROW]
[ROW][C]121[/C][C]3911471[/C][C]3977419.56333242[/C][C]3915.68562003401[/C][C]-11747.0568996756[/C][C]-0.395888685675404[/C][/ROW]
[ROW][C]122[/C][C]3798478[/C][C]3878152.46402936[/C][C]3183.89593429464[/C][C]3183.8959718913[/C][C]-0.608987852304318[/C][/ROW]
[ROW][C]123[/C][C]3644313[/C][C]3749251.69725093[/C][C]2535.70235130706[/C][C]2535.7023513072[/C][C]-0.786554946543421[/C][/ROW]
[ROW][C]124[/C][C]3784029[/C][C]3768101.00709419[/C][C]2599.61557315147[/C][C]2599.61557315152[/C][C]0.0974077416567289[/C][/ROW]
[ROW][C]125[/C][C]3647134[/C][C]3707583.41012497[/C][C]2813.26630393513[/C][C]-8439.79895387696[/C][C]-0.379856130822346[/C][/ROW]
[ROW][C]126[/C][C]3994662[/C][C]3865855.28678595[/C][C]3881.25227489081[/C][C]3881.25231994241[/C][C]0.9179334281527[/C][/ROW]
[ROW][C]127[/C][C]3607836[/C][C]3723595.44374064[/C][C]3186.48705755868[/C][C]3186.48705755881[/C][C]-0.870404040770609[/C][/ROW]
[ROW][C]128[/C][C]3566008[/C][C]3636740.02319977[/C][C]2844.70587612671[/C][C]2844.70587612674[/C][C]-0.537679202879502[/C][/ROW]
[ROW][C]129[/C][C]3511412[/C][C]3574342.64451131[/C][C]3058.64898558593[/C][C]-9175.94700863674[/C][C]-0.392579289622129[/C][/ROW]
[ROW][C]130[/C][C]3258665[/C][C]3399691.37216184[/C][C]1874.89645887969[/C][C]1874.89650734953[/C][C]-1.04976270912239[/C][/ROW]
[ROW][C]131[/C][C]3486573[/C][C]3447274.72184606[/C][C]2085.61358343598[/C][C]2085.61358343611[/C][C]0.272278004637474[/C][/ROW]
[ROW][C]132[/C][C]3369443[/C][C]3404327.05443883[/C][C]1919.83781815425[/C][C]1919.83781815425[/C][C]-0.268933623004877[/C][/ROW]
[ROW][C]133[/C][C]3465544[/C][C]3441731.37630259[/C][C]1807.00197906002[/C][C]-5421.00598455293[/C][C]0.213486596986303[/C][/ROW]
[ROW][C]134[/C][C]3905224[/C][C]3697461.58447435[/C][C]3448.54138287267[/C][C]3448.54143511927[/C][C]1.50056229904369[/C][/ROW]
[ROW][C]135[/C][C]3733881[/C][C]3717141.78492338[/C][C]3521.16915254162[/C][C]3521.16915254176[/C][C]0.0967035585069598[/C][/ROW]
[ROW][C]136[/C][C]3220642[/C][C]3444135.36688417[/C][C]2533.05737194765[/C][C]2533.05737194766[/C][C]-1.65150921967089[/C][/ROW]
[ROW][C]137[/C][C]3225812[/C][C]3330326.56017158[/C][C]2892.12937367556[/C][C]-8676.38818012877[/C][C]-0.699849500499621[/C][/ROW]
[ROW][C]138[/C][C]3354461[/C][C]3343349.17950427[/C][C]2955.74399061074[/C][C]2955.74404990724[/C][C]0.0598886208660957[/C][/ROW]
[ROW][C]139[/C][C]3352261[/C][C]3347954.47423608[/C][C]2962.9139670744[/C][C]2962.91396707454[/C][C]0.009828903930331[/C][/ROW]
[ROW][C]140[/C][C]3450652[/C][C]3404060.82540503[/C][C]3147.40305712511[/C][C]3147.40305712511[/C][C]0.317410604925342[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159957&T=1

As an alternative you can also use a QR Code:  

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

Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
145819454581945000
238740384045805.52015643-151179.983906444-151179.983904225-0.590981360783827
340862904095231.49747194-117191.226101075-117191.2261010750.943073323492295
443643644257049.52626095-84827.6740473742-84827.67404737421.52265319912896
537935863886845.92623351-55843.4836486622167530.450947116-1.98917001255584
645339144294074.84965113-2297.70223007435-2297.702225425092.09828624189631
748230434591456.8548171520565.995286444220565.99528644431.64262540017482
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Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')