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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 computationSat, 23 Nov 2013 05:11:16 -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/2013/Nov/23/t1385201543juk9bciotvg3bln.htm/, Retrieved Thu, 02 May 2024 15:09:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=227768, Retrieved Thu, 02 May 2024 15:09:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [WS 8 - Strucural ...] [2013-11-23 10:11:16] [e87fe8ad852a0fa5d933f43041f410cc] [Current]
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Dataseries X:
11.73
11.74
11.65
11.38
11.53
11.75
11.82
11.83
11.63
11.55
11.4
11.4
11.63
11.46
11.35
11.7
11.52
11.64
11.9
11.73
11.7
11.54
11.97
11.64
11.98
11.79
11.66
11.96
11.83
12.36
12.53
12.55
12.53
12.24
12.34
12.05
12.22
12.23
11.92
12.13
12.1
12.15
12.23
12.08
12.02
11.93
12.16
11.87
11.93
11.79
11.43
11.63
11.93
11.89
11.83
11.59
12.04
11.81
11.9
11.72
11.91
11.94
11.91
11.84
12.01
11.89
11.8
11.7
11.5
11.76
11.61
11.27
11.64
11.39
11.54
11.62
11.59
11.44
11.31
11.56
11.4
11.51
11.5
11.24
11.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227768&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227768&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227768&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 time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
111.7311.73000
211.7411.73763347470340.0004812328102531580.0006863342515264040.0454115514026823
311.6511.679420244334-0.00144493110039677-0.00666057332232814-0.49711114738998
411.3811.483201754346-0.00482521102577558-0.020480632832131-1.74033875582336
511.5311.5109606492837-0.004421673995246970.004994638364930910.293455739588022
611.7511.6689481963872-0.002658668623784230.01082337014188631.46497410857716
711.8211.7718906437763-0.001566609986669670.002406137757797180.952921892568588
811.8311.812617382602-0.00113853854646514-0.0009266196046994060.381686726004761
911.6311.6947590016333-0.00230426563867886-0.0142240148958303-1.05339806426528
1011.5511.5984260084412-0.00323320118765733-0.00771263860345657-0.848617225475221
1111.411.4678577579643-0.00447853131635041-0.0127202152703453-1.14921169246224
1211.411.4221223352001-0.00487808198024755-0.00425676493449851-0.372347642882554
1311.6311.4895020146288-0.009557050488107130.1080592150463980.8043083732217
1411.4611.4696766393715-0.0098347234590093-0.00626764756822685-0.0791397607162557
1511.3511.3898939582501-0.0111001061756228-0.012543803232558-0.605764367167028
1611.711.5968099570254-0.008974240376530760.01300573945043241.95405735377186
1711.5211.5592543672089-0.00916280815844236-0.0273098189342213-0.257591661599044
1811.6411.6081550164774-0.008834278045096340.007530529083900250.523807416518206
1911.911.7971381768356-0.007765963191164720.01998741804917691.78491959123341
2011.7311.7597116844753-0.00792390143236197-0.0172842724881481-0.267640643555486
2111.711.7272464541995-0.00805399709684905-0.0169636110661117-0.221452375270945
2211.5411.6074626238206-0.00864730878369695-0.0206468582365836-1.00825267928626
2311.9711.8376532961722-0.007388384875374440.03226349606965862.15539737742514
2411.6411.7266793422538-0.00773544225119006-0.0432293786589707-0.934285980252735
2511.9811.8054620548317-0.01014875913427930.1372988562050660.859673124375847
2611.7911.7939420071056-0.0101700797450771-0.00343869107200241-0.0114028729796017
2711.6611.7291068881276-0.0109097273400307-0.0478754438340257-0.476828430300841
2811.9611.8557667816014-0.009825148208862610.04847503042521861.2331860225078
2911.8311.8628004115601-0.00973864735253599-0.03970128413917180.151953333690467
3012.3612.1782392713466-0.008366711807019770.04838930292159072.93367818283381
3112.5312.3928084952879-0.007477595721808660.04571949164446262.01158369423939
3212.5512.5058813386293-0.00700121456390148-0.00534633242865261.08776562780316
3312.5312.5254672692379-0.00689558059650272-0.006376632245039120.239910659113212
3412.2412.3766731297042-0.00746509511075538-0.0784472087631814-1.28052444779561
3512.3412.3175101408054-0.007660006653602490.0437080400335143-0.46652818685293
3612.0512.1800221762623-0.00777941560538207-0.0766636634466003-1.17130647867195
3712.2212.1250824625441-0.007038055241045790.114724976527718-0.449134076685232
3812.2312.1841185863022-0.006377346265263220.02068203763197420.568193281568703
3911.9212.0572841119046-0.00769851383339507-0.090606663518476-1.05568455709962
4012.1312.0629186300971-0.007604025619788460.06174323458501350.11946470728227
4112.112.133518497729-0.00724413005409446-0.06514442774151280.704781419470391
4212.1512.1338875130825-0.007216529369267030.01302672177259070.0686852663769701
4312.2312.1742701860583-0.007056688066997860.03642840185801770.429508421767186
4412.0812.1224374809064-0.00720598747458474-0.0242802837430521-0.404039209378916
4512.0212.047858823115-0.00743392182457523-0.000538934005645879-0.607963568724845
4611.9312.0133063077585-0.00752587801601385-0.0723088996917109-0.244734321519547
4712.1612.0602259744017-0.007369882257571510.07768721084441890.491275645537288
4811.8711.9864637275687-0.00735717365443615-0.0894889975424581-0.599346505914868
4911.9311.8848053388899-0.006444391318084660.0841651515848609-0.878933382893582
5011.7911.79352349358-0.007032226873498360.0294138582608663-0.742330421436874
5111.4311.6198969801866-0.00855890464949565-0.125260867194104-1.46593501138801
5211.6311.5856696490222-0.008727415123437960.0545364438584565-0.229883772068958
5311.9311.8309938192898-0.00761608848137184-0.00301511583088542.28897522288961
5411.8911.8712064129331-0.00745596269850221-0.0004635178669353310.43149777871108
5511.8311.8206177883109-0.007586369395667210.0267583628496905-0.389219000078681
5611.5911.6852104942253-0.00796865651022856-0.0437144881508024-1.15345775235829
5712.0411.8913648321884-0.007318004366785330.06237093242431381.93233324044957
5811.8111.8970618939471-0.007279396328736-0.09230587445877850.117457972207393
5911.911.8447214602015-0.00737898860726030.0734411753896453-0.40655471223975
6011.7211.8095193569353-0.00736096804952083-0.0782864008445548-0.251292147708859
6111.9111.8015798456215-0.007357394952273240.108656628341216-0.00532624516875467
6211.9411.8469569717789-0.007087731413426620.07238066184486640.465929811424533
6311.9111.960928248381-0.00614517729459215-0.09802585435998851.06903519526059
6411.8411.8816582381416-0.00659276307057285-0.0126919302777009-0.654703067585156
6512.0111.9600217144203-0.006232063268473230.01600538563302940.765218657004392
6611.8911.9114831143547-0.00636796338116335-0.00451578977419281-0.381656782068539
6711.811.8127332895403-0.006629627729612750.0243438496925253-0.83365852900862
6811.711.7852610346009-0.00668738894287285-0.0768949573983204-0.188095546654073
6911.511.5711310473096-0.007265795231248670.0121366097523657-1.87215652170772
7011.7611.724304725128-0.00684553870943202-0.02871386343507031.44791334692717
7111.6111.6090783027785-0.007032591097223840.0444471614735458-0.977773656407564
7211.2711.4451517746457-0.00691292649443644-0.112038546247604-1.41739006550212
7311.6411.4948478616505-0.007138032983761880.122188029377730.517265739372701
7411.3911.3960014342491-0.007504374463866580.0301129430717161-0.814926330160698
7511.5411.531638278939-0.00654520566943974-0.04749629187772261.26789713477756
7611.6211.6040188243831-0.00609474565634598-0.01522239103785380.70656873670887
7711.5911.582752755066-0.00615759224639080.0132979097060684-0.136610053659837
7811.4411.4881961620553-0.00643537044232022-0.0128294166426654-0.797400252942361
7911.3111.3559595157853-0.006777391172172110.00441605059033422-1.13526236182519
8011.5611.4993649965854-0.006384633818840180.0004842595391723241.35541531465632
8111.411.4489122314479-0.0064983399508878-0.0312611363557031-0.397730742633336
8211.5111.4862802008486-0.00639653555192540.006147187889255740.395865901546507
8311.511.4511012169922-0.006436083136049210.0604325320385609-0.259654813568532
8411.2411.3924311646341-0.00639920003712827-0.131466295393846-0.471901869493202
8511.811.5532326494872-0.006821839432456940.1792971276951991.52056297183385

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 11.73 & 11.73 & 0 & 0 & 0 \tabularnewline
2 & 11.74 & 11.7376334747034 & 0.000481232810253158 & 0.000686334251526404 & 0.0454115514026823 \tabularnewline
3 & 11.65 & 11.679420244334 & -0.00144493110039677 & -0.00666057332232814 & -0.49711114738998 \tabularnewline
4 & 11.38 & 11.483201754346 & -0.00482521102577558 & -0.020480632832131 & -1.74033875582336 \tabularnewline
5 & 11.53 & 11.5109606492837 & -0.00442167399524697 & 0.00499463836493091 & 0.293455739588022 \tabularnewline
6 & 11.75 & 11.6689481963872 & -0.00265866862378423 & 0.0108233701418863 & 1.46497410857716 \tabularnewline
7 & 11.82 & 11.7718906437763 & -0.00156660998666967 & 0.00240613775779718 & 0.952921892568588 \tabularnewline
8 & 11.83 & 11.812617382602 & -0.00113853854646514 & -0.000926619604699406 & 0.381686726004761 \tabularnewline
9 & 11.63 & 11.6947590016333 & -0.00230426563867886 & -0.0142240148958303 & -1.05339806426528 \tabularnewline
10 & 11.55 & 11.5984260084412 & -0.00323320118765733 & -0.00771263860345657 & -0.848617225475221 \tabularnewline
11 & 11.4 & 11.4678577579643 & -0.00447853131635041 & -0.0127202152703453 & -1.14921169246224 \tabularnewline
12 & 11.4 & 11.4221223352001 & -0.00487808198024755 & -0.00425676493449851 & -0.372347642882554 \tabularnewline
13 & 11.63 & 11.4895020146288 & -0.00955705048810713 & 0.108059215046398 & 0.8043083732217 \tabularnewline
14 & 11.46 & 11.4696766393715 & -0.0098347234590093 & -0.00626764756822685 & -0.0791397607162557 \tabularnewline
15 & 11.35 & 11.3898939582501 & -0.0111001061756228 & -0.012543803232558 & -0.605764367167028 \tabularnewline
16 & 11.7 & 11.5968099570254 & -0.00897424037653076 & 0.0130057394504324 & 1.95405735377186 \tabularnewline
17 & 11.52 & 11.5592543672089 & -0.00916280815844236 & -0.0273098189342213 & -0.257591661599044 \tabularnewline
18 & 11.64 & 11.6081550164774 & -0.00883427804509634 & 0.00753052908390025 & 0.523807416518206 \tabularnewline
19 & 11.9 & 11.7971381768356 & -0.00776596319116472 & 0.0199874180491769 & 1.78491959123341 \tabularnewline
20 & 11.73 & 11.7597116844753 & -0.00792390143236197 & -0.0172842724881481 & -0.267640643555486 \tabularnewline
21 & 11.7 & 11.7272464541995 & -0.00805399709684905 & -0.0169636110661117 & -0.221452375270945 \tabularnewline
22 & 11.54 & 11.6074626238206 & -0.00864730878369695 & -0.0206468582365836 & -1.00825267928626 \tabularnewline
23 & 11.97 & 11.8376532961722 & -0.00738838487537444 & 0.0322634960696586 & 2.15539737742514 \tabularnewline
24 & 11.64 & 11.7266793422538 & -0.00773544225119006 & -0.0432293786589707 & -0.934285980252735 \tabularnewline
25 & 11.98 & 11.8054620548317 & -0.0101487591342793 & 0.137298856205066 & 0.859673124375847 \tabularnewline
26 & 11.79 & 11.7939420071056 & -0.0101700797450771 & -0.00343869107200241 & -0.0114028729796017 \tabularnewline
27 & 11.66 & 11.7291068881276 & -0.0109097273400307 & -0.0478754438340257 & -0.476828430300841 \tabularnewline
28 & 11.96 & 11.8557667816014 & -0.00982514820886261 & 0.0484750304252186 & 1.2331860225078 \tabularnewline
29 & 11.83 & 11.8628004115601 & -0.00973864735253599 & -0.0397012841391718 & 0.151953333690467 \tabularnewline
30 & 12.36 & 12.1782392713466 & -0.00836671180701977 & 0.0483893029215907 & 2.93367818283381 \tabularnewline
31 & 12.53 & 12.3928084952879 & -0.00747759572180866 & 0.0457194916444626 & 2.01158369423939 \tabularnewline
32 & 12.55 & 12.5058813386293 & -0.00700121456390148 & -0.0053463324286526 & 1.08776562780316 \tabularnewline
33 & 12.53 & 12.5254672692379 & -0.00689558059650272 & -0.00637663224503912 & 0.239910659113212 \tabularnewline
34 & 12.24 & 12.3766731297042 & -0.00746509511075538 & -0.0784472087631814 & -1.28052444779561 \tabularnewline
35 & 12.34 & 12.3175101408054 & -0.00766000665360249 & 0.0437080400335143 & -0.46652818685293 \tabularnewline
36 & 12.05 & 12.1800221762623 & -0.00777941560538207 & -0.0766636634466003 & -1.17130647867195 \tabularnewline
37 & 12.22 & 12.1250824625441 & -0.00703805524104579 & 0.114724976527718 & -0.449134076685232 \tabularnewline
38 & 12.23 & 12.1841185863022 & -0.00637734626526322 & 0.0206820376319742 & 0.568193281568703 \tabularnewline
39 & 11.92 & 12.0572841119046 & -0.00769851383339507 & -0.090606663518476 & -1.05568455709962 \tabularnewline
40 & 12.13 & 12.0629186300971 & -0.00760402561978846 & 0.0617432345850135 & 0.11946470728227 \tabularnewline
41 & 12.1 & 12.133518497729 & -0.00724413005409446 & -0.0651444277415128 & 0.704781419470391 \tabularnewline
42 & 12.15 & 12.1338875130825 & -0.00721652936926703 & 0.0130267217725907 & 0.0686852663769701 \tabularnewline
43 & 12.23 & 12.1742701860583 & -0.00705668806699786 & 0.0364284018580177 & 0.429508421767186 \tabularnewline
44 & 12.08 & 12.1224374809064 & -0.00720598747458474 & -0.0242802837430521 & -0.404039209378916 \tabularnewline
45 & 12.02 & 12.047858823115 & -0.00743392182457523 & -0.000538934005645879 & -0.607963568724845 \tabularnewline
46 & 11.93 & 12.0133063077585 & -0.00752587801601385 & -0.0723088996917109 & -0.244734321519547 \tabularnewline
47 & 12.16 & 12.0602259744017 & -0.00736988225757151 & 0.0776872108444189 & 0.491275645537288 \tabularnewline
48 & 11.87 & 11.9864637275687 & -0.00735717365443615 & -0.0894889975424581 & -0.599346505914868 \tabularnewline
49 & 11.93 & 11.8848053388899 & -0.00644439131808466 & 0.0841651515848609 & -0.878933382893582 \tabularnewline
50 & 11.79 & 11.79352349358 & -0.00703222687349836 & 0.0294138582608663 & -0.742330421436874 \tabularnewline
51 & 11.43 & 11.6198969801866 & -0.00855890464949565 & -0.125260867194104 & -1.46593501138801 \tabularnewline
52 & 11.63 & 11.5856696490222 & -0.00872741512343796 & 0.0545364438584565 & -0.229883772068958 \tabularnewline
53 & 11.93 & 11.8309938192898 & -0.00761608848137184 & -0.0030151158308854 & 2.28897522288961 \tabularnewline
54 & 11.89 & 11.8712064129331 & -0.00745596269850221 & -0.000463517866935331 & 0.43149777871108 \tabularnewline
55 & 11.83 & 11.8206177883109 & -0.00758636939566721 & 0.0267583628496905 & -0.389219000078681 \tabularnewline
56 & 11.59 & 11.6852104942253 & -0.00796865651022856 & -0.0437144881508024 & -1.15345775235829 \tabularnewline
57 & 12.04 & 11.8913648321884 & -0.00731800436678533 & 0.0623709324243138 & 1.93233324044957 \tabularnewline
58 & 11.81 & 11.8970618939471 & -0.007279396328736 & -0.0923058744587785 & 0.117457972207393 \tabularnewline
59 & 11.9 & 11.8447214602015 & -0.0073789886072603 & 0.0734411753896453 & -0.40655471223975 \tabularnewline
60 & 11.72 & 11.8095193569353 & -0.00736096804952083 & -0.0782864008445548 & -0.251292147708859 \tabularnewline
61 & 11.91 & 11.8015798456215 & -0.00735739495227324 & 0.108656628341216 & -0.00532624516875467 \tabularnewline
62 & 11.94 & 11.8469569717789 & -0.00708773141342662 & 0.0723806618448664 & 0.465929811424533 \tabularnewline
63 & 11.91 & 11.960928248381 & -0.00614517729459215 & -0.0980258543599885 & 1.06903519526059 \tabularnewline
64 & 11.84 & 11.8816582381416 & -0.00659276307057285 & -0.0126919302777009 & -0.654703067585156 \tabularnewline
65 & 12.01 & 11.9600217144203 & -0.00623206326847323 & 0.0160053856330294 & 0.765218657004392 \tabularnewline
66 & 11.89 & 11.9114831143547 & -0.00636796338116335 & -0.00451578977419281 & -0.381656782068539 \tabularnewline
67 & 11.8 & 11.8127332895403 & -0.00662962772961275 & 0.0243438496925253 & -0.83365852900862 \tabularnewline
68 & 11.7 & 11.7852610346009 & -0.00668738894287285 & -0.0768949573983204 & -0.188095546654073 \tabularnewline
69 & 11.5 & 11.5711310473096 & -0.00726579523124867 & 0.0121366097523657 & -1.87215652170772 \tabularnewline
70 & 11.76 & 11.724304725128 & -0.00684553870943202 & -0.0287138634350703 & 1.44791334692717 \tabularnewline
71 & 11.61 & 11.6090783027785 & -0.00703259109722384 & 0.0444471614735458 & -0.977773656407564 \tabularnewline
72 & 11.27 & 11.4451517746457 & -0.00691292649443644 & -0.112038546247604 & -1.41739006550212 \tabularnewline
73 & 11.64 & 11.4948478616505 & -0.00713803298376188 & 0.12218802937773 & 0.517265739372701 \tabularnewline
74 & 11.39 & 11.3960014342491 & -0.00750437446386658 & 0.0301129430717161 & -0.814926330160698 \tabularnewline
75 & 11.54 & 11.531638278939 & -0.00654520566943974 & -0.0474962918777226 & 1.26789713477756 \tabularnewline
76 & 11.62 & 11.6040188243831 & -0.00609474565634598 & -0.0152223910378538 & 0.70656873670887 \tabularnewline
77 & 11.59 & 11.582752755066 & -0.0061575922463908 & 0.0132979097060684 & -0.136610053659837 \tabularnewline
78 & 11.44 & 11.4881961620553 & -0.00643537044232022 & -0.0128294166426654 & -0.797400252942361 \tabularnewline
79 & 11.31 & 11.3559595157853 & -0.00677739117217211 & 0.00441605059033422 & -1.13526236182519 \tabularnewline
80 & 11.56 & 11.4993649965854 & -0.00638463381884018 & 0.000484259539172324 & 1.35541531465632 \tabularnewline
81 & 11.4 & 11.4489122314479 & -0.0064983399508878 & -0.0312611363557031 & -0.397730742633336 \tabularnewline
82 & 11.51 & 11.4862802008486 & -0.0063965355519254 & 0.00614718788925574 & 0.395865901546507 \tabularnewline
83 & 11.5 & 11.4511012169922 & -0.00643608313604921 & 0.0604325320385609 & -0.259654813568532 \tabularnewline
84 & 11.24 & 11.3924311646341 & -0.00639920003712827 & -0.131466295393846 & -0.471901869493202 \tabularnewline
85 & 11.8 & 11.5532326494872 & -0.00682183943245694 & 0.179297127695199 & 1.52056297183385 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227768&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]11.73[/C][C]11.73[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]11.74[/C][C]11.7376334747034[/C][C]0.000481232810253158[/C][C]0.000686334251526404[/C][C]0.0454115514026823[/C][/ROW]
[ROW][C]3[/C][C]11.65[/C][C]11.679420244334[/C][C]-0.00144493110039677[/C][C]-0.00666057332232814[/C][C]-0.49711114738998[/C][/ROW]
[ROW][C]4[/C][C]11.38[/C][C]11.483201754346[/C][C]-0.00482521102577558[/C][C]-0.020480632832131[/C][C]-1.74033875582336[/C][/ROW]
[ROW][C]5[/C][C]11.53[/C][C]11.5109606492837[/C][C]-0.00442167399524697[/C][C]0.00499463836493091[/C][C]0.293455739588022[/C][/ROW]
[ROW][C]6[/C][C]11.75[/C][C]11.6689481963872[/C][C]-0.00265866862378423[/C][C]0.0108233701418863[/C][C]1.46497410857716[/C][/ROW]
[ROW][C]7[/C][C]11.82[/C][C]11.7718906437763[/C][C]-0.00156660998666967[/C][C]0.00240613775779718[/C][C]0.952921892568588[/C][/ROW]
[ROW][C]8[/C][C]11.83[/C][C]11.812617382602[/C][C]-0.00113853854646514[/C][C]-0.000926619604699406[/C][C]0.381686726004761[/C][/ROW]
[ROW][C]9[/C][C]11.63[/C][C]11.6947590016333[/C][C]-0.00230426563867886[/C][C]-0.0142240148958303[/C][C]-1.05339806426528[/C][/ROW]
[ROW][C]10[/C][C]11.55[/C][C]11.5984260084412[/C][C]-0.00323320118765733[/C][C]-0.00771263860345657[/C][C]-0.848617225475221[/C][/ROW]
[ROW][C]11[/C][C]11.4[/C][C]11.4678577579643[/C][C]-0.00447853131635041[/C][C]-0.0127202152703453[/C][C]-1.14921169246224[/C][/ROW]
[ROW][C]12[/C][C]11.4[/C][C]11.4221223352001[/C][C]-0.00487808198024755[/C][C]-0.00425676493449851[/C][C]-0.372347642882554[/C][/ROW]
[ROW][C]13[/C][C]11.63[/C][C]11.4895020146288[/C][C]-0.00955705048810713[/C][C]0.108059215046398[/C][C]0.8043083732217[/C][/ROW]
[ROW][C]14[/C][C]11.46[/C][C]11.4696766393715[/C][C]-0.0098347234590093[/C][C]-0.00626764756822685[/C][C]-0.0791397607162557[/C][/ROW]
[ROW][C]15[/C][C]11.35[/C][C]11.3898939582501[/C][C]-0.0111001061756228[/C][C]-0.012543803232558[/C][C]-0.605764367167028[/C][/ROW]
[ROW][C]16[/C][C]11.7[/C][C]11.5968099570254[/C][C]-0.00897424037653076[/C][C]0.0130057394504324[/C][C]1.95405735377186[/C][/ROW]
[ROW][C]17[/C][C]11.52[/C][C]11.5592543672089[/C][C]-0.00916280815844236[/C][C]-0.0273098189342213[/C][C]-0.257591661599044[/C][/ROW]
[ROW][C]18[/C][C]11.64[/C][C]11.6081550164774[/C][C]-0.00883427804509634[/C][C]0.00753052908390025[/C][C]0.523807416518206[/C][/ROW]
[ROW][C]19[/C][C]11.9[/C][C]11.7971381768356[/C][C]-0.00776596319116472[/C][C]0.0199874180491769[/C][C]1.78491959123341[/C][/ROW]
[ROW][C]20[/C][C]11.73[/C][C]11.7597116844753[/C][C]-0.00792390143236197[/C][C]-0.0172842724881481[/C][C]-0.267640643555486[/C][/ROW]
[ROW][C]21[/C][C]11.7[/C][C]11.7272464541995[/C][C]-0.00805399709684905[/C][C]-0.0169636110661117[/C][C]-0.221452375270945[/C][/ROW]
[ROW][C]22[/C][C]11.54[/C][C]11.6074626238206[/C][C]-0.00864730878369695[/C][C]-0.0206468582365836[/C][C]-1.00825267928626[/C][/ROW]
[ROW][C]23[/C][C]11.97[/C][C]11.8376532961722[/C][C]-0.00738838487537444[/C][C]0.0322634960696586[/C][C]2.15539737742514[/C][/ROW]
[ROW][C]24[/C][C]11.64[/C][C]11.7266793422538[/C][C]-0.00773544225119006[/C][C]-0.0432293786589707[/C][C]-0.934285980252735[/C][/ROW]
[ROW][C]25[/C][C]11.98[/C][C]11.8054620548317[/C][C]-0.0101487591342793[/C][C]0.137298856205066[/C][C]0.859673124375847[/C][/ROW]
[ROW][C]26[/C][C]11.79[/C][C]11.7939420071056[/C][C]-0.0101700797450771[/C][C]-0.00343869107200241[/C][C]-0.0114028729796017[/C][/ROW]
[ROW][C]27[/C][C]11.66[/C][C]11.7291068881276[/C][C]-0.0109097273400307[/C][C]-0.0478754438340257[/C][C]-0.476828430300841[/C][/ROW]
[ROW][C]28[/C][C]11.96[/C][C]11.8557667816014[/C][C]-0.00982514820886261[/C][C]0.0484750304252186[/C][C]1.2331860225078[/C][/ROW]
[ROW][C]29[/C][C]11.83[/C][C]11.8628004115601[/C][C]-0.00973864735253599[/C][C]-0.0397012841391718[/C][C]0.151953333690467[/C][/ROW]
[ROW][C]30[/C][C]12.36[/C][C]12.1782392713466[/C][C]-0.00836671180701977[/C][C]0.0483893029215907[/C][C]2.93367818283381[/C][/ROW]
[ROW][C]31[/C][C]12.53[/C][C]12.3928084952879[/C][C]-0.00747759572180866[/C][C]0.0457194916444626[/C][C]2.01158369423939[/C][/ROW]
[ROW][C]32[/C][C]12.55[/C][C]12.5058813386293[/C][C]-0.00700121456390148[/C][C]-0.0053463324286526[/C][C]1.08776562780316[/C][/ROW]
[ROW][C]33[/C][C]12.53[/C][C]12.5254672692379[/C][C]-0.00689558059650272[/C][C]-0.00637663224503912[/C][C]0.239910659113212[/C][/ROW]
[ROW][C]34[/C][C]12.24[/C][C]12.3766731297042[/C][C]-0.00746509511075538[/C][C]-0.0784472087631814[/C][C]-1.28052444779561[/C][/ROW]
[ROW][C]35[/C][C]12.34[/C][C]12.3175101408054[/C][C]-0.00766000665360249[/C][C]0.0437080400335143[/C][C]-0.46652818685293[/C][/ROW]
[ROW][C]36[/C][C]12.05[/C][C]12.1800221762623[/C][C]-0.00777941560538207[/C][C]-0.0766636634466003[/C][C]-1.17130647867195[/C][/ROW]
[ROW][C]37[/C][C]12.22[/C][C]12.1250824625441[/C][C]-0.00703805524104579[/C][C]0.114724976527718[/C][C]-0.449134076685232[/C][/ROW]
[ROW][C]38[/C][C]12.23[/C][C]12.1841185863022[/C][C]-0.00637734626526322[/C][C]0.0206820376319742[/C][C]0.568193281568703[/C][/ROW]
[ROW][C]39[/C][C]11.92[/C][C]12.0572841119046[/C][C]-0.00769851383339507[/C][C]-0.090606663518476[/C][C]-1.05568455709962[/C][/ROW]
[ROW][C]40[/C][C]12.13[/C][C]12.0629186300971[/C][C]-0.00760402561978846[/C][C]0.0617432345850135[/C][C]0.11946470728227[/C][/ROW]
[ROW][C]41[/C][C]12.1[/C][C]12.133518497729[/C][C]-0.00724413005409446[/C][C]-0.0651444277415128[/C][C]0.704781419470391[/C][/ROW]
[ROW][C]42[/C][C]12.15[/C][C]12.1338875130825[/C][C]-0.00721652936926703[/C][C]0.0130267217725907[/C][C]0.0686852663769701[/C][/ROW]
[ROW][C]43[/C][C]12.23[/C][C]12.1742701860583[/C][C]-0.00705668806699786[/C][C]0.0364284018580177[/C][C]0.429508421767186[/C][/ROW]
[ROW][C]44[/C][C]12.08[/C][C]12.1224374809064[/C][C]-0.00720598747458474[/C][C]-0.0242802837430521[/C][C]-0.404039209378916[/C][/ROW]
[ROW][C]45[/C][C]12.02[/C][C]12.047858823115[/C][C]-0.00743392182457523[/C][C]-0.000538934005645879[/C][C]-0.607963568724845[/C][/ROW]
[ROW][C]46[/C][C]11.93[/C][C]12.0133063077585[/C][C]-0.00752587801601385[/C][C]-0.0723088996917109[/C][C]-0.244734321519547[/C][/ROW]
[ROW][C]47[/C][C]12.16[/C][C]12.0602259744017[/C][C]-0.00736988225757151[/C][C]0.0776872108444189[/C][C]0.491275645537288[/C][/ROW]
[ROW][C]48[/C][C]11.87[/C][C]11.9864637275687[/C][C]-0.00735717365443615[/C][C]-0.0894889975424581[/C][C]-0.599346505914868[/C][/ROW]
[ROW][C]49[/C][C]11.93[/C][C]11.8848053388899[/C][C]-0.00644439131808466[/C][C]0.0841651515848609[/C][C]-0.878933382893582[/C][/ROW]
[ROW][C]50[/C][C]11.79[/C][C]11.79352349358[/C][C]-0.00703222687349836[/C][C]0.0294138582608663[/C][C]-0.742330421436874[/C][/ROW]
[ROW][C]51[/C][C]11.43[/C][C]11.6198969801866[/C][C]-0.00855890464949565[/C][C]-0.125260867194104[/C][C]-1.46593501138801[/C][/ROW]
[ROW][C]52[/C][C]11.63[/C][C]11.5856696490222[/C][C]-0.00872741512343796[/C][C]0.0545364438584565[/C][C]-0.229883772068958[/C][/ROW]
[ROW][C]53[/C][C]11.93[/C][C]11.8309938192898[/C][C]-0.00761608848137184[/C][C]-0.0030151158308854[/C][C]2.28897522288961[/C][/ROW]
[ROW][C]54[/C][C]11.89[/C][C]11.8712064129331[/C][C]-0.00745596269850221[/C][C]-0.000463517866935331[/C][C]0.43149777871108[/C][/ROW]
[ROW][C]55[/C][C]11.83[/C][C]11.8206177883109[/C][C]-0.00758636939566721[/C][C]0.0267583628496905[/C][C]-0.389219000078681[/C][/ROW]
[ROW][C]56[/C][C]11.59[/C][C]11.6852104942253[/C][C]-0.00796865651022856[/C][C]-0.0437144881508024[/C][C]-1.15345775235829[/C][/ROW]
[ROW][C]57[/C][C]12.04[/C][C]11.8913648321884[/C][C]-0.00731800436678533[/C][C]0.0623709324243138[/C][C]1.93233324044957[/C][/ROW]
[ROW][C]58[/C][C]11.81[/C][C]11.8970618939471[/C][C]-0.007279396328736[/C][C]-0.0923058744587785[/C][C]0.117457972207393[/C][/ROW]
[ROW][C]59[/C][C]11.9[/C][C]11.8447214602015[/C][C]-0.0073789886072603[/C][C]0.0734411753896453[/C][C]-0.40655471223975[/C][/ROW]
[ROW][C]60[/C][C]11.72[/C][C]11.8095193569353[/C][C]-0.00736096804952083[/C][C]-0.0782864008445548[/C][C]-0.251292147708859[/C][/ROW]
[ROW][C]61[/C][C]11.91[/C][C]11.8015798456215[/C][C]-0.00735739495227324[/C][C]0.108656628341216[/C][C]-0.00532624516875467[/C][/ROW]
[ROW][C]62[/C][C]11.94[/C][C]11.8469569717789[/C][C]-0.00708773141342662[/C][C]0.0723806618448664[/C][C]0.465929811424533[/C][/ROW]
[ROW][C]63[/C][C]11.91[/C][C]11.960928248381[/C][C]-0.00614517729459215[/C][C]-0.0980258543599885[/C][C]1.06903519526059[/C][/ROW]
[ROW][C]64[/C][C]11.84[/C][C]11.8816582381416[/C][C]-0.00659276307057285[/C][C]-0.0126919302777009[/C][C]-0.654703067585156[/C][/ROW]
[ROW][C]65[/C][C]12.01[/C][C]11.9600217144203[/C][C]-0.00623206326847323[/C][C]0.0160053856330294[/C][C]0.765218657004392[/C][/ROW]
[ROW][C]66[/C][C]11.89[/C][C]11.9114831143547[/C][C]-0.00636796338116335[/C][C]-0.00451578977419281[/C][C]-0.381656782068539[/C][/ROW]
[ROW][C]67[/C][C]11.8[/C][C]11.8127332895403[/C][C]-0.00662962772961275[/C][C]0.0243438496925253[/C][C]-0.83365852900862[/C][/ROW]
[ROW][C]68[/C][C]11.7[/C][C]11.7852610346009[/C][C]-0.00668738894287285[/C][C]-0.0768949573983204[/C][C]-0.188095546654073[/C][/ROW]
[ROW][C]69[/C][C]11.5[/C][C]11.5711310473096[/C][C]-0.00726579523124867[/C][C]0.0121366097523657[/C][C]-1.87215652170772[/C][/ROW]
[ROW][C]70[/C][C]11.76[/C][C]11.724304725128[/C][C]-0.00684553870943202[/C][C]-0.0287138634350703[/C][C]1.44791334692717[/C][/ROW]
[ROW][C]71[/C][C]11.61[/C][C]11.6090783027785[/C][C]-0.00703259109722384[/C][C]0.0444471614735458[/C][C]-0.977773656407564[/C][/ROW]
[ROW][C]72[/C][C]11.27[/C][C]11.4451517746457[/C][C]-0.00691292649443644[/C][C]-0.112038546247604[/C][C]-1.41739006550212[/C][/ROW]
[ROW][C]73[/C][C]11.64[/C][C]11.4948478616505[/C][C]-0.00713803298376188[/C][C]0.12218802937773[/C][C]0.517265739372701[/C][/ROW]
[ROW][C]74[/C][C]11.39[/C][C]11.3960014342491[/C][C]-0.00750437446386658[/C][C]0.0301129430717161[/C][C]-0.814926330160698[/C][/ROW]
[ROW][C]75[/C][C]11.54[/C][C]11.531638278939[/C][C]-0.00654520566943974[/C][C]-0.0474962918777226[/C][C]1.26789713477756[/C][/ROW]
[ROW][C]76[/C][C]11.62[/C][C]11.6040188243831[/C][C]-0.00609474565634598[/C][C]-0.0152223910378538[/C][C]0.70656873670887[/C][/ROW]
[ROW][C]77[/C][C]11.59[/C][C]11.582752755066[/C][C]-0.0061575922463908[/C][C]0.0132979097060684[/C][C]-0.136610053659837[/C][/ROW]
[ROW][C]78[/C][C]11.44[/C][C]11.4881961620553[/C][C]-0.00643537044232022[/C][C]-0.0128294166426654[/C][C]-0.797400252942361[/C][/ROW]
[ROW][C]79[/C][C]11.31[/C][C]11.3559595157853[/C][C]-0.00677739117217211[/C][C]0.00441605059033422[/C][C]-1.13526236182519[/C][/ROW]
[ROW][C]80[/C][C]11.56[/C][C]11.4993649965854[/C][C]-0.00638463381884018[/C][C]0.000484259539172324[/C][C]1.35541531465632[/C][/ROW]
[ROW][C]81[/C][C]11.4[/C][C]11.4489122314479[/C][C]-0.0064983399508878[/C][C]-0.0312611363557031[/C][C]-0.397730742633336[/C][/ROW]
[ROW][C]82[/C][C]11.51[/C][C]11.4862802008486[/C][C]-0.0063965355519254[/C][C]0.00614718788925574[/C][C]0.395865901546507[/C][/ROW]
[ROW][C]83[/C][C]11.5[/C][C]11.4511012169922[/C][C]-0.00643608313604921[/C][C]0.0604325320385609[/C][C]-0.259654813568532[/C][/ROW]
[ROW][C]84[/C][C]11.24[/C][C]11.3924311646341[/C][C]-0.00639920003712827[/C][C]-0.131466295393846[/C][C]-0.471901869493202[/C][/ROW]
[ROW][C]85[/C][C]11.8[/C][C]11.5532326494872[/C][C]-0.00682183943245694[/C][C]0.179297127695199[/C][C]1.52056297183385[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227768&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227768&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
111.7311.73000
211.7411.73763347470340.0004812328102531580.0006863342515264040.0454115514026823
311.6511.679420244334-0.00144493110039677-0.00666057332232814-0.49711114738998
411.3811.483201754346-0.00482521102577558-0.020480632832131-1.74033875582336
511.5311.5109606492837-0.004421673995246970.004994638364930910.293455739588022
611.7511.6689481963872-0.002658668623784230.01082337014188631.46497410857716
711.8211.7718906437763-0.001566609986669670.002406137757797180.952921892568588
811.8311.812617382602-0.00113853854646514-0.0009266196046994060.381686726004761
911.6311.6947590016333-0.00230426563867886-0.0142240148958303-1.05339806426528
1011.5511.5984260084412-0.00323320118765733-0.00771263860345657-0.848617225475221
1111.411.4678577579643-0.00447853131635041-0.0127202152703453-1.14921169246224
1211.411.4221223352001-0.00487808198024755-0.00425676493449851-0.372347642882554
1311.6311.4895020146288-0.009557050488107130.1080592150463980.8043083732217
1411.4611.4696766393715-0.0098347234590093-0.00626764756822685-0.0791397607162557
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Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')