## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationThu, 06 Mar 2008 09:52:55 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/06/t1204824677qpuklllbvmmq7ks.htm/, Retrieved Wed, 27 Sep 2023 08:56:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10033, Retrieved Wed, 27 Sep 2023 08:56:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact442
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD    [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- R  D      [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:12:03] [74be16979710d4c4e7c6647856088456]
- R  D      [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:33:35] [74be16979710d4c4e7c6647856088456]
- RM D        [Structural Time Series Models] [] [2010-11-26 10:41:09] [d39e5c40c631ed6c22677d2e41dbfc7d]
- R             [Structural Time Series Models] [WS8] [2011-12-01 14:36:00] [bab4e1d4a779bb46523d87231e2a2e96]
- RMP           [Exponential Smoothing] [Exponential smoot...] [2011-12-01 14:49:47] [bab4e1d4a779bb46523d87231e2a2e96]
- RMP           [Exponential Smoothing] [Exponential smoot...] [2011-12-01 14:53:25] [bab4e1d4a779bb46523d87231e2a2e96]
-  M D        [Structural Time Series Models] [WS8 residu's] [2010-11-28 15:36:37] [65eb19f81eab2b6e672eafaed2a27190]
-  M D        [Structural Time Series Models] [WS8 Structural Ti...] [2010-11-29 10:27:42] [f4dc4aa51d65be851b8508203d9f6001]
-    D          [Structural Time Series Models] [Structural Time S...] [2010-12-17 16:42:30] [f4dc4aa51d65be851b8508203d9f6001]
- RM D        [Multiple Regression] [Basic Structural ...] [2010-11-29 14:58:28] [2843717cd92615903379c14ebee3c5df]
-  M D        [Structural Time Series Models] [Basis Structual T...] [2010-11-29 15:22:20] [2843717cd92615903379c14ebee3c5df]
-  M D        [Structural Time Series Models] [] [2010-11-29 19:38:40] [de55ccbf69577500a5f46ed42a101114]
-  M D        [Structural Time Series Models] [model 2 ws 8] [2010-11-29 22:32:28] [f74ab32c8351972dfcced0581a68b6bb]
-               [Structural Time Series Models] [] [2010-11-30 16:45:24] [fc9068db680cd880760a7c0fccd81a61]
-  M D        [Structural Time Series Models] [] [2010-11-29 23:28:06] [2db311435ed525bc1ed0ddec922afb8f]
-  M D        [Structural Time Series Models] [Structural decomp...] [2010-11-30 15:46:51] [cbb1f7583f1ea41fcafd5f9709bd0e0a]
-  M D        [Structural Time Series Models] [ws8 structural ti...] [2010-11-30 17:53:54] [74be16979710d4c4e7c6647856088456]
- RMPD        [Multiple Regression] [ws8 multiple regr...] [2010-11-30 18:01:16] [74be16979710d4c4e7c6647856088456]
-    D          [Multiple Regression] [PaperTimDamen] [2011-02-03 09:33:21] [74be16979710d4c4e7c6647856088456]
- RMPD        [Multiple Regression] [ws8 multiple regr...] [2010-11-30 18:39:59] [74be16979710d4c4e7c6647856088456]
- R PD          [Multiple Regression] [PaperTimDamen] [2011-02-03 09:54:47] [74be16979710d4c4e7c6647856088456]
-   PD            [Multiple Regression] [PaperTimDamen] [2011-02-03 11:54:00] [74be16979710d4c4e7c6647856088456]
- R PD          [Multiple Regression] [PaperTimDamen] [2011-02-03 10:03:20] [74be16979710d4c4e7c6647856088456]
- RMPD        [Multiple Regression] [ws8 multiple regr...] [2010-11-30 20:45:11] [74be16979710d4c4e7c6647856088456]
-  M D        [Structural Time Series Models] [] [2010-12-07 12:42:20] [b2f924a86c4fbfa8afa1027f3839f526]
-  M D        [Structural Time Series Models] [] [2010-12-07 12:42:20] [b2f924a86c4fbfa8afa1027f3839f526]
- RMP           [Exponential Smoothing] [] [2010-12-07 12:46:53] [b2f924a86c4fbfa8afa1027f3839f526]
- RMPD            [Multiple Regression] [] [2010-12-07 12:51:30] [b2f924a86c4fbfa8afa1027f3839f526]
-    D              [Multiple Regression] [] [2010-12-09 16:17:21] [b2f924a86c4fbfa8afa1027f3839f526]
-    D            [Exponential Smoothing] [] [2010-12-09 16:12:25] [b2f924a86c4fbfa8afa1027f3839f526]
-    D          [Structural Time Series Models] [] [2010-12-09 16:08:50] [b2f924a86c4fbfa8afa1027f3839f526]
- R               [Structural Time Series Models] [] [2010-12-10 12:32:01] [b2f924a86c4fbfa8afa1027f3839f526]
- RM D        [Structural Time Series Models] [] [2010-12-07 13:10:14] [253127ae8da904b75450fbd69fe4eb21]
-  M D        [Structural Time Series Models] [Workshop 8 - STSM] [2010-12-07 13:12:32] [ed447cc2ebcc70947ad11d93fa385845]
-  M D        [Structural Time Series Models] [] [2010-12-07 13:18:37] [253127ae8da904b75450fbd69fe4eb21]
-  M D        [Structural Time Series Models] [WS5] [2010-12-07 13:51:52] [fa854ea294f510d944d2dbf77761bfce]
-  M D        [Structural Time Series Models] [WS5] [2010-12-07 13:51:52] [fa854ea294f510d944d2dbf77761bfce]
-               [Structural Time Series Models] [ws5q5] [2010-12-08 19:32:28] [df61ce38492c371f14c407a12b3bb2eb]
- R               [Structural Time Series Models] [ws5q5] [2010-12-09 18:54:41] [a2638725f7f7c6bd63902ba17eba666b]
-                 [Structural Time Series Models] [ws5q5] [2010-12-09 19:20:09] [c4f608d390ad7371b1365a9b84541edb]
-                 [Structural Time Series Models] [Workshop 5 assign...] [2010-12-10 00:01:25] [17d39bb3ec485d4ce196f61215d11ba1]
-                 [Structural Time Series Models] [WSvraag5] [2010-12-10 13:55:58] [9c3137400ced3280b419f1e434c29e1d]
-                 [Structural Time Series Models] [] [2010-12-10 19:01:52] [c420bdd199bcbe079f7d532ca3855317]
-  M D        [Structural Time Series Models] [] [2010-12-07 19:00:52] [1ec36cc0fd92fd0f07d0b885ce2c369b]
-  M D        [Structural Time Series Models] [WS5 - monthly bir...] [2010-12-08 15:29:30] [8ed0bd3560b9ca2814a2ed0a29182575]
-    D          [Structural Time Series Models] [STSM Dollar] [2010-12-26 13:32:25] [8ed0bd3560b9ca2814a2ed0a29182575]
-    D          [Structural Time Series Models] [STSM Yuan] [2010-12-26 13:34:39] [8ed0bd3560b9ca2814a2ed0a29182575]
- RM D        [Structural Time Series Models] [] [2010-12-08 18:48:54] [bcc4ad4a6c0f95d5b548de29638ac6c2]

[Truncated]
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Dataseries X:
13328
12873
14000
13477
14237
13674
13529
14058
12975
14326
14008
16193
14483
14011
15057
14884
15414
14440
14900
15074
14442
15307
14938
17193
15528
14765
15838
15723
16150
15486
15986
15983
15692
16490
15686
18897
16316
15636
17163
16534
16518
16375
16290
16352
15943
16362
16393
19051
16747
16320
17910
16961
17480
17049
16879
17473
16998
17307
17418
20169
17871
17226
19062
17804
19100
18522
18060
18869
18127
18871
18890
21263
19547
18450
20254
19240
20216
19420
19415
20018
18652
19978
19509
21971


 Summary of compuational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 4 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10033&T=0

[TABLE]
[ROW][C]Summary of compuational 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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10033&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10033&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 compuational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 4 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

 Structural Time Series Model t Observed Fitted Level Slope Seasonal Residuals 1 13328 13328 13328 0 0 0 2 12873 12876.8257891851 13200.6819478145 3.82578918514634 -327.68194781448 -1.30937963159356 3 14000 14022.0031954161 13460.2391750261 22.0031954161445 539.760824973865 1.31765525270691 4 13477 13503.285105943 13535.9804208991 26.285105942988 -58.9804208991019 0.311977226123143 5 14237 14279.1871681780 13789.3673061054 42.1871681780315 447.632693894581 1.58162610681454 6 13674 13716.3300535845 13834.0894067324 42.3300535845046 -160.089406732357 0.0192376923718027 7 13529 13565.7762045799 13756.2214150021 36.7762045798851 -227.221415002069 -0.937057013630214 8 14058 14096.0529624696 13824.1263117638 38.052962469584 233.873688236230 0.243826417267901 9 12975 13001.9841057964 13582.4987752674 26.9841057964398 -607.498775267415 -2.18590323595731 10 14326 14357.8225898324 13729.7204596292 31.8225898323746 596.279540370772 0.935766933751675 11 14008 14044.3499767304 13869.9742390004 36.3499767303937 138.025760999587 0.840035252978843 12 16193 16261.9600450982 14657.8365021228 68.9600450982356 1535.16349787723 5.79802749363536 13 14483 14556.6530809516 14941.1548111521 73.6530809516055 -458.154811152081 1.70324729921804 14 14011 14083.5661000211 14973.5337540679 72.56610002109 -962.533754067875 -0.330836466619584 15 15057 15123.9424354256 14910.4226513923 66.9424354256193 146.577348607663 -1.01555961592100 16 14884 14950.3965410181 14966.9570940873 66.3965410181129 -82.9570940873432 -0.0738137548231807 17 15414 15477.5594131343 14983.5563712051 63.5594131342866 430.443628794902 -0.353622835038707 18 14440 14491.8576431762 14842.0470949073 51.8576431761596 -402.04709490728 -1.49507756240521 19 14900 14950.9658922650 14877.7132990105 50.965892265038 22.2867009895442 -0.120639961851066 20 15074 15121.104965195 14855.4215561017 47.1049651949951 218.578443898257 -0.551266726939755 21 14442 14493.8605348171 14996.3157694375 51.8605348170913 -554.315769437457 0.706960235998102 22 15307 15360.7716010294 15087.0676218772 53.7716010293883 219.932378122800 0.292538866816767 23 14938 14995.9402455145 15228.0596750919 57.9402455145203 -290.059675091854 0.654261787956202 24 17193 17259.2993886137 15465.3750700089 66.2993886136976 1727.62492999106 1.34474028856297 25 15528 15602.0185876088 15699.5442321763 74.0185876088331 -171.544232176331 1.26208555258566 26 14765 14838.8065274304 15769.0633384170 73.806527430363 -1004.06333841696 -0.0337794511447212 27 15838 15908.2059502489 15770.3671276436 70.2059502489409 67.6328723564073 -0.537689018234094 28 15723 15789.4079039139 15767.9178383391 66.4079039138715 -44.9178383390633 -0.531044660759293 29 16150 16210.5361068853 15725.6628456300 60.5361068853177 424.337154370023 -0.790177339025636 30 15486 15546.2124988847 15780.2862005268 60.2124988847452 -294.286200526844 -0.0432200309184316 31 15986 16048.2262083617 15877.3981740204 62.22620836171 108.601825979555 0.271983421683458 32 15983 16044.6397511119 15928.7468785298 61.6397511119189 54.2531214702492 -0.0806101036648515 33 15692 15759.4797360290 16100.4317237832 67.4797360289696 -408.431723783209 0.81632027217282 34 16490 16563.4467240256 16282.1067353452 73.4467240256002 207.893264654839 0.845799882141688 35 15686 15757.8873726201 16325.3374782275 71.8873726200522 -639.337478227512 -0.223472602865751 36 18897 18982.4097568336 16661.1131040203 85.4097568335573 2235.88689597968 1.95194819402148 37 16316 16400.2053883081 16723.0230360093 84.2053883081234 -407.023036009263 -0.174005251309701 38 15636 15715.3759710443 16713.7172262334 79.3759710442796 -1077.71722623338 -0.692066109425585 39 17163 17244.4053879884 16831.8964758517 81.4053879883748 331.103524148294 0.286209760715423 40 16534 16609.1967487352 16796.1361257456 75.1967487352262 -262.136125745639 -0.86037097664727 41 16518 16578.4514073538 16595.8167794313 60.4514073538403 -77.8167794313284 -2.01850104025196 42 16375 16432.4101151607 16599.7307850088 57.4101151607113 -224.730785008773 -0.414637749542108 43 16290 16339.6847772582 16513.5878467130 49.6847772582255 -223.587846712959 -1.05576587816445 44 16352 16397.4561734050 16484.4540742751 45.4561734049545 -132.454074275099 -0.580951664466268 45 15943 15986.3849047873 16491.1092344588 43.3849047873067 -548.109234458764 -0.286122147509981 46 16362 16399.8153997367 16429.5983468821 37.815399736733 -67.598346882089 -0.772925383912537 47 16393 16441.4259559579 16668.1332559756 48.4259559578775 -275.133255975595 1.47794698241834 48 19051 19103.1624974509 16787.415970105 52.1624974509109 2263.58402989500 0.521772960478365 49 16747 16803.8111048941 16927.7340247171 56.8111048941409 -180.734024717103 0.649499979507535 50 16320 16383.6042499082 17113.0928791237 63.6042499082173 -793.092879123735 0.947131566555392 51 17910 17978.5861444166 17270.6418196161 68.5861444166098 639.358180383852 0.69150670359207 52 16961 17024.7246326603 17247.8924516135 63.7246326602895 -286.892451613550 -0.6713115311164 53 17480 17544.4454361622 17325.1191475745 64.44543616219 154.880852425541 0.0991472221876955 54 17049 17109.3022709007 17312.0858576788 60.3022709007103 -263.085857678771 -0.569037817998455 55 16879 16932.3470467336 17242.3671612108 53.3470467335768 -363.367161210762 -0.955814972472107 56 17473 17529.3300330641 17351.5209957029 56.3300330641291 121.479004297149 0.410589954146277 57 16998 17058.1143242072 17478.7527685271 60.1143242071860 -480.752768527121 0.521754101189441 58 17307 17368.6918986107 17568.4741109014 61.691898610739 -261.474110901357 0.217805644509610 59 17418 17483.0524784500 17693.3269836827 65.0524784499592 -275.326983682686 0.464495230746059 60 20169 20239.4679492649 17860.2494361084 70.4679492648824 2308.75056389164 0.749166786818708 61 17871 17946.7261447210 18029.6405522991 75.7261447209669 -158.640552299091 0.727666511577185 62 17226 17302.0004589059 18110.5245115710 76.0004589058506 -884.52451157104 0.037944235448267 63 19062 19140.5575403847 18234.5572700254 78.5575403847418 827.442729974551 0.353264630573422 64 17804 17878.777052663 18242.1787611418 74.7770526629889 -438.178761141842 -0.521457348362567 65 19100 19182.7777917259 18466.9457325059 82.7777917258623 633.05426749405 1.10218502294869 66 18522 18610.1403602174 18650.2015252305 88.1403602173717 -128.201525230506 0.73835603786959 67 18060 18145.5454667379 18689.7287819752 85.5454667378949 -629.728781975174 -0.357337570795217 68 18869 18954.6273208045 18776.8080028470 85.6273208044576 92.1919971530416 0.0112775352566685 69 18127 18209.5480841698 18804.7135859381 82.5480841697832 -677.713585938127 -0.42445991711634 70 18871 18958.5518061361 18981.1065816888 87.5518061361308 -110.106581688841 0.690013654175918 71 18890 18982.4956725489 19161.4235663533 92.4956725488576 -271.423566353257 0.681978362131513 72 21263 21353.0762168967 19208.5077582331 90.07621689668 2054.49224176685 -0.333844069038362 73 19547 19643.5548995782 19420.1933481326 96.5548995781493 126.806651867427 0.894098448192825 74 18450 18545.9495720152 19505.3874021292 95.9495720151657 -1055.38740212923 -0.0835331354626137 75 20254 20347.1562649718 19548.9265106949 93.156264971797 705.073489305116 -0.385335983346102 76 19240 19335.1799098198 19680.0400912674 95.179909819775 -440.040091267412 0.279026604563751 77 20216 20309.3334981260 19740.5963761845 93.3334981259738 475.403623815547 -0.254484208719289 78 19420 19507.3984851367 19722.6563448177 87.3984851366954 -302.656344817737 -0.817847173612272 79 19415 19504.7818362795 19854.7369503513 89.781836279546 -439.736950351284 0.328439734536982 80 20018 20108.4601293099 19957.2357168735 90.4601293098559 60.7642831264537 0.0934873708840648 81 18652 18732.2626073329 19856.4860911417 80.262607332886 -1204.48609114171 -1.40571677346299 82 19978 20059.1259262908 19952.9388984069 81.125926290822 25.0611015931302 0.119020635507625 83 19509 19586.4195110991 19964.5467537368 77.4195110990556 -455.54675373678 -0.51102528352137 84 21971 22046.5318898164 20006.5581952663 75.5318898164371 1964.44180473367 -0.260279917278426

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Fitted & Level & Slope & Seasonal & Residuals \tabularnewline
1 & 13328 & 13328 & 13328 & 0 & 0 & 0 \tabularnewline
2 & 12873 & 12876.8257891851 & 13200.6819478145 & 3.82578918514634 & -327.68194781448 & -1.30937963159356 \tabularnewline
3 & 14000 & 14022.0031954161 & 13460.2391750261 & 22.0031954161445 & 539.760824973865 & 1.31765525270691 \tabularnewline
4 & 13477 & 13503.285105943 & 13535.9804208991 & 26.285105942988 & -58.9804208991019 & 0.311977226123143 \tabularnewline
5 & 14237 & 14279.1871681780 & 13789.3673061054 & 42.1871681780315 & 447.632693894581 & 1.58162610681454 \tabularnewline
6 & 13674 & 13716.3300535845 & 13834.0894067324 & 42.3300535845046 & -160.089406732357 & 0.0192376923718027 \tabularnewline
7 & 13529 & 13565.7762045799 & 13756.2214150021 & 36.7762045798851 & -227.221415002069 & -0.937057013630214 \tabularnewline
8 & 14058 & 14096.0529624696 & 13824.1263117638 & 38.052962469584 & 233.873688236230 & 0.243826417267901 \tabularnewline
9 & 12975 & 13001.9841057964 & 13582.4987752674 & 26.9841057964398 & -607.498775267415 & -2.18590323595731 \tabularnewline
10 & 14326 & 14357.8225898324 & 13729.7204596292 & 31.8225898323746 & 596.279540370772 & 0.935766933751675 \tabularnewline
11 & 14008 & 14044.3499767304 & 13869.9742390004 & 36.3499767303937 & 138.025760999587 & 0.840035252978843 \tabularnewline
12 & 16193 & 16261.9600450982 & 14657.8365021228 & 68.9600450982356 & 1535.16349787723 & 5.79802749363536 \tabularnewline
13 & 14483 & 14556.6530809516 & 14941.1548111521 & 73.6530809516055 & -458.154811152081 & 1.70324729921804 \tabularnewline
14 & 14011 & 14083.5661000211 & 14973.5337540679 & 72.56610002109 & -962.533754067875 & -0.330836466619584 \tabularnewline
15 & 15057 & 15123.9424354256 & 14910.4226513923 & 66.9424354256193 & 146.577348607663 & -1.01555961592100 \tabularnewline
16 & 14884 & 14950.3965410181 & 14966.9570940873 & 66.3965410181129 & -82.9570940873432 & -0.0738137548231807 \tabularnewline
17 & 15414 & 15477.5594131343 & 14983.5563712051 & 63.5594131342866 & 430.443628794902 & -0.353622835038707 \tabularnewline
18 & 14440 & 14491.8576431762 & 14842.0470949073 & 51.8576431761596 & -402.04709490728 & -1.49507756240521 \tabularnewline
19 & 14900 & 14950.9658922650 & 14877.7132990105 & 50.965892265038 & 22.2867009895442 & -0.120639961851066 \tabularnewline
20 & 15074 & 15121.104965195 & 14855.4215561017 & 47.1049651949951 & 218.578443898257 & -0.551266726939755 \tabularnewline
21 & 14442 & 14493.8605348171 & 14996.3157694375 & 51.8605348170913 & -554.315769437457 & 0.706960235998102 \tabularnewline
22 & 15307 & 15360.7716010294 & 15087.0676218772 & 53.7716010293883 & 219.932378122800 & 0.292538866816767 \tabularnewline
23 & 14938 & 14995.9402455145 & 15228.0596750919 & 57.9402455145203 & -290.059675091854 & 0.654261787956202 \tabularnewline
24 & 17193 & 17259.2993886137 & 15465.3750700089 & 66.2993886136976 & 1727.62492999106 & 1.34474028856297 \tabularnewline
25 & 15528 & 15602.0185876088 & 15699.5442321763 & 74.0185876088331 & -171.544232176331 & 1.26208555258566 \tabularnewline
26 & 14765 & 14838.8065274304 & 15769.0633384170 & 73.806527430363 & -1004.06333841696 & -0.0337794511447212 \tabularnewline
27 & 15838 & 15908.2059502489 & 15770.3671276436 & 70.2059502489409 & 67.6328723564073 & -0.537689018234094 \tabularnewline
28 & 15723 & 15789.4079039139 & 15767.9178383391 & 66.4079039138715 & -44.9178383390633 & -0.531044660759293 \tabularnewline
29 & 16150 & 16210.5361068853 & 15725.6628456300 & 60.5361068853177 & 424.337154370023 & -0.790177339025636 \tabularnewline
30 & 15486 & 15546.2124988847 & 15780.2862005268 & 60.2124988847452 & -294.286200526844 & -0.0432200309184316 \tabularnewline
31 & 15986 & 16048.2262083617 & 15877.3981740204 & 62.22620836171 & 108.601825979555 & 0.271983421683458 \tabularnewline
32 & 15983 & 16044.6397511119 & 15928.7468785298 & 61.6397511119189 & 54.2531214702492 & -0.0806101036648515 \tabularnewline
33 & 15692 & 15759.4797360290 & 16100.4317237832 & 67.4797360289696 & -408.431723783209 & 0.81632027217282 \tabularnewline
34 & 16490 & 16563.4467240256 & 16282.1067353452 & 73.4467240256002 & 207.893264654839 & 0.845799882141688 \tabularnewline
35 & 15686 & 15757.8873726201 & 16325.3374782275 & 71.8873726200522 & -639.337478227512 & -0.223472602865751 \tabularnewline
36 & 18897 & 18982.4097568336 & 16661.1131040203 & 85.4097568335573 & 2235.88689597968 & 1.95194819402148 \tabularnewline
37 & 16316 & 16400.2053883081 & 16723.0230360093 & 84.2053883081234 & -407.023036009263 & -0.174005251309701 \tabularnewline
38 & 15636 & 15715.3759710443 & 16713.7172262334 & 79.3759710442796 & -1077.71722623338 & -0.692066109425585 \tabularnewline
39 & 17163 & 17244.4053879884 & 16831.8964758517 & 81.4053879883748 & 331.103524148294 & 0.286209760715423 \tabularnewline
40 & 16534 & 16609.1967487352 & 16796.1361257456 & 75.1967487352262 & -262.136125745639 & -0.86037097664727 \tabularnewline
41 & 16518 & 16578.4514073538 & 16595.8167794313 & 60.4514073538403 & -77.8167794313284 & -2.01850104025196 \tabularnewline
42 & 16375 & 16432.4101151607 & 16599.7307850088 & 57.4101151607113 & -224.730785008773 & -0.414637749542108 \tabularnewline
43 & 16290 & 16339.6847772582 & 16513.5878467130 & 49.6847772582255 & -223.587846712959 & -1.05576587816445 \tabularnewline
44 & 16352 & 16397.4561734050 & 16484.4540742751 & 45.4561734049545 & -132.454074275099 & -0.580951664466268 \tabularnewline
45 & 15943 & 15986.3849047873 & 16491.1092344588 & 43.3849047873067 & -548.109234458764 & -0.286122147509981 \tabularnewline
46 & 16362 & 16399.8153997367 & 16429.5983468821 & 37.815399736733 & -67.598346882089 & -0.772925383912537 \tabularnewline
47 & 16393 & 16441.4259559579 & 16668.1332559756 & 48.4259559578775 & -275.133255975595 & 1.47794698241834 \tabularnewline
48 & 19051 & 19103.1624974509 & 16787.415970105 & 52.1624974509109 & 2263.58402989500 & 0.521772960478365 \tabularnewline
49 & 16747 & 16803.8111048941 & 16927.7340247171 & 56.8111048941409 & -180.734024717103 & 0.649499979507535 \tabularnewline
50 & 16320 & 16383.6042499082 & 17113.0928791237 & 63.6042499082173 & -793.092879123735 & 0.947131566555392 \tabularnewline
51 & 17910 & 17978.5861444166 & 17270.6418196161 & 68.5861444166098 & 639.358180383852 & 0.69150670359207 \tabularnewline
52 & 16961 & 17024.7246326603 & 17247.8924516135 & 63.7246326602895 & -286.892451613550 & -0.6713115311164 \tabularnewline
53 & 17480 & 17544.4454361622 & 17325.1191475745 & 64.44543616219 & 154.880852425541 & 0.0991472221876955 \tabularnewline
54 & 17049 & 17109.3022709007 & 17312.0858576788 & 60.3022709007103 & -263.085857678771 & -0.569037817998455 \tabularnewline
55 & 16879 & 16932.3470467336 & 17242.3671612108 & 53.3470467335768 & -363.367161210762 & -0.955814972472107 \tabularnewline
56 & 17473 & 17529.3300330641 & 17351.5209957029 & 56.3300330641291 & 121.479004297149 & 0.410589954146277 \tabularnewline
57 & 16998 & 17058.1143242072 & 17478.7527685271 & 60.1143242071860 & -480.752768527121 & 0.521754101189441 \tabularnewline
58 & 17307 & 17368.6918986107 & 17568.4741109014 & 61.691898610739 & -261.474110901357 & 0.217805644509610 \tabularnewline
59 & 17418 & 17483.0524784500 & 17693.3269836827 & 65.0524784499592 & -275.326983682686 & 0.464495230746059 \tabularnewline
60 & 20169 & 20239.4679492649 & 17860.2494361084 & 70.4679492648824 & 2308.75056389164 & 0.749166786818708 \tabularnewline
61 & 17871 & 17946.7261447210 & 18029.6405522991 & 75.7261447209669 & -158.640552299091 & 0.727666511577185 \tabularnewline
62 & 17226 & 17302.0004589059 & 18110.5245115710 & 76.0004589058506 & -884.52451157104 & 0.037944235448267 \tabularnewline
63 & 19062 & 19140.5575403847 & 18234.5572700254 & 78.5575403847418 & 827.442729974551 & 0.353264630573422 \tabularnewline
64 & 17804 & 17878.777052663 & 18242.1787611418 & 74.7770526629889 & -438.178761141842 & -0.521457348362567 \tabularnewline
65 & 19100 & 19182.7777917259 & 18466.9457325059 & 82.7777917258623 & 633.05426749405 & 1.10218502294869 \tabularnewline
66 & 18522 & 18610.1403602174 & 18650.2015252305 & 88.1403602173717 & -128.201525230506 & 0.73835603786959 \tabularnewline
67 & 18060 & 18145.5454667379 & 18689.7287819752 & 85.5454667378949 & -629.728781975174 & -0.357337570795217 \tabularnewline
68 & 18869 & 18954.6273208045 & 18776.8080028470 & 85.6273208044576 & 92.1919971530416 & 0.0112775352566685 \tabularnewline
69 & 18127 & 18209.5480841698 & 18804.7135859381 & 82.5480841697832 & -677.713585938127 & -0.42445991711634 \tabularnewline
70 & 18871 & 18958.5518061361 & 18981.1065816888 & 87.5518061361308 & -110.106581688841 & 0.690013654175918 \tabularnewline
71 & 18890 & 18982.4956725489 & 19161.4235663533 & 92.4956725488576 & -271.423566353257 & 0.681978362131513 \tabularnewline
72 & 21263 & 21353.0762168967 & 19208.5077582331 & 90.07621689668 & 2054.49224176685 & -0.333844069038362 \tabularnewline
73 & 19547 & 19643.5548995782 & 19420.1933481326 & 96.5548995781493 & 126.806651867427 & 0.894098448192825 \tabularnewline
74 & 18450 & 18545.9495720152 & 19505.3874021292 & 95.9495720151657 & -1055.38740212923 & -0.0835331354626137 \tabularnewline
75 & 20254 & 20347.1562649718 & 19548.9265106949 & 93.156264971797 & 705.073489305116 & -0.385335983346102 \tabularnewline
76 & 19240 & 19335.1799098198 & 19680.0400912674 & 95.179909819775 & -440.040091267412 & 0.279026604563751 \tabularnewline
77 & 20216 & 20309.3334981260 & 19740.5963761845 & 93.3334981259738 & 475.403623815547 & -0.254484208719289 \tabularnewline
78 & 19420 & 19507.3984851367 & 19722.6563448177 & 87.3984851366954 & -302.656344817737 & -0.817847173612272 \tabularnewline
79 & 19415 & 19504.7818362795 & 19854.7369503513 & 89.781836279546 & -439.736950351284 & 0.328439734536982 \tabularnewline
80 & 20018 & 20108.4601293099 & 19957.2357168735 & 90.4601293098559 & 60.7642831264537 & 0.0934873708840648 \tabularnewline
81 & 18652 & 18732.2626073329 & 19856.4860911417 & 80.262607332886 & -1204.48609114171 & -1.40571677346299 \tabularnewline
82 & 19978 & 20059.1259262908 & 19952.9388984069 & 81.125926290822 & 25.0611015931302 & 0.119020635507625 \tabularnewline
83 & 19509 & 19586.4195110991 & 19964.5467537368 & 77.4195110990556 & -455.54675373678 & -0.51102528352137 \tabularnewline
84 & 21971 & 22046.5318898164 & 20006.5581952663 & 75.5318898164371 & 1964.44180473367 & -0.260279917278426 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10033&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Residuals[/C][/ROW]
[ROW][C]1[/C][C]13328[/C][C]13328[/C][C]13328[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]12873[/C][C]12876.8257891851[/C][C]13200.6819478145[/C][C]3.82578918514634[/C][C]-327.68194781448[/C][C]-1.30937963159356[/C][/ROW]
[ROW][C]3[/C][C]14000[/C][C]14022.0031954161[/C][C]13460.2391750261[/C][C]22.0031954161445[/C][C]539.760824973865[/C][C]1.31765525270691[/C][/ROW]
[ROW][C]4[/C][C]13477[/C][C]13503.285105943[/C][C]13535.9804208991[/C][C]26.285105942988[/C][C]-58.9804208991019[/C][C]0.311977226123143[/C][/ROW]
[ROW][C]5[/C][C]14237[/C][C]14279.1871681780[/C][C]13789.3673061054[/C][C]42.1871681780315[/C][C]447.632693894581[/C][C]1.58162610681454[/C][/ROW]
[ROW][C]6[/C][C]13674[/C][C]13716.3300535845[/C][C]13834.0894067324[/C][C]42.3300535845046[/C][C]-160.089406732357[/C][C]0.0192376923718027[/C][/ROW]
[ROW][C]7[/C][C]13529[/C][C]13565.7762045799[/C][C]13756.2214150021[/C][C]36.7762045798851[/C][C]-227.221415002069[/C][C]-0.937057013630214[/C][/ROW]
[ROW][C]8[/C][C]14058[/C][C]14096.0529624696[/C][C]13824.1263117638[/C][C]38.052962469584[/C][C]233.873688236230[/C][C]0.243826417267901[/C][/ROW]
[ROW][C]9[/C][C]12975[/C][C]13001.9841057964[/C][C]13582.4987752674[/C][C]26.9841057964398[/C][C]-607.498775267415[/C][C]-2.18590323595731[/C][/ROW]
[ROW][C]10[/C][C]14326[/C][C]14357.8225898324[/C][C]13729.7204596292[/C][C]31.8225898323746[/C][C]596.279540370772[/C][C]0.935766933751675[/C][/ROW]
[ROW][C]11[/C][C]14008[/C][C]14044.3499767304[/C][C]13869.9742390004[/C][C]36.3499767303937[/C][C]138.025760999587[/C][C]0.840035252978843[/C][/ROW]
[ROW][C]12[/C][C]16193[/C][C]16261.9600450982[/C][C]14657.8365021228[/C][C]68.9600450982356[/C][C]1535.16349787723[/C][C]5.79802749363536[/C][/ROW]
[ROW][C]13[/C][C]14483[/C][C]14556.6530809516[/C][C]14941.1548111521[/C][C]73.6530809516055[/C][C]-458.154811152081[/C][C]1.70324729921804[/C][/ROW]
[ROW][C]14[/C][C]14011[/C][C]14083.5661000211[/C][C]14973.5337540679[/C][C]72.56610002109[/C][C]-962.533754067875[/C][C]-0.330836466619584[/C][/ROW]
[ROW][C]15[/C][C]15057[/C][C]15123.9424354256[/C][C]14910.4226513923[/C][C]66.9424354256193[/C][C]146.577348607663[/C][C]-1.01555961592100[/C][/ROW]
[ROW][C]16[/C][C]14884[/C][C]14950.3965410181[/C][C]14966.9570940873[/C][C]66.3965410181129[/C][C]-82.9570940873432[/C][C]-0.0738137548231807[/C][/ROW]
[ROW][C]17[/C][C]15414[/C][C]15477.5594131343[/C][C]14983.5563712051[/C][C]63.5594131342866[/C][C]430.443628794902[/C][C]-0.353622835038707[/C][/ROW]
[ROW][C]18[/C][C]14440[/C][C]14491.8576431762[/C][C]14842.0470949073[/C][C]51.8576431761596[/C][C]-402.04709490728[/C][C]-1.49507756240521[/C][/ROW]
[ROW][C]19[/C][C]14900[/C][C]14950.9658922650[/C][C]14877.7132990105[/C][C]50.965892265038[/C][C]22.2867009895442[/C][C]-0.120639961851066[/C][/ROW]
[ROW][C]20[/C][C]15074[/C][C]15121.104965195[/C][C]14855.4215561017[/C][C]47.1049651949951[/C][C]218.578443898257[/C][C]-0.551266726939755[/C][/ROW]
[ROW][C]21[/C][C]14442[/C][C]14493.8605348171[/C][C]14996.3157694375[/C][C]51.8605348170913[/C][C]-554.315769437457[/C][C]0.706960235998102[/C][/ROW]
[ROW][C]22[/C][C]15307[/C][C]15360.7716010294[/C][C]15087.0676218772[/C][C]53.7716010293883[/C][C]219.932378122800[/C][C]0.292538866816767[/C][/ROW]
[ROW][C]23[/C][C]14938[/C][C]14995.9402455145[/C][C]15228.0596750919[/C][C]57.9402455145203[/C][C]-290.059675091854[/C][C]0.654261787956202[/C][/ROW]
[ROW][C]24[/C][C]17193[/C][C]17259.2993886137[/C][C]15465.3750700089[/C][C]66.2993886136976[/C][C]1727.62492999106[/C][C]1.34474028856297[/C][/ROW]
[ROW][C]25[/C][C]15528[/C][C]15602.0185876088[/C][C]15699.5442321763[/C][C]74.0185876088331[/C][C]-171.544232176331[/C][C]1.26208555258566[/C][/ROW]
[ROW][C]26[/C][C]14765[/C][C]14838.8065274304[/C][C]15769.0633384170[/C][C]73.806527430363[/C][C]-1004.06333841696[/C][C]-0.0337794511447212[/C][/ROW]
[ROW][C]27[/C][C]15838[/C][C]15908.2059502489[/C][C]15770.3671276436[/C][C]70.2059502489409[/C][C]67.6328723564073[/C][C]-0.537689018234094[/C][/ROW]
[ROW][C]28[/C][C]15723[/C][C]15789.4079039139[/C][C]15767.9178383391[/C][C]66.4079039138715[/C][C]-44.9178383390633[/C][C]-0.531044660759293[/C][/ROW]
[ROW][C]29[/C][C]16150[/C][C]16210.5361068853[/C][C]15725.6628456300[/C][C]60.5361068853177[/C][C]424.337154370023[/C][C]-0.790177339025636[/C][/ROW]
[ROW][C]30[/C][C]15486[/C][C]15546.2124988847[/C][C]15780.2862005268[/C][C]60.2124988847452[/C][C]-294.286200526844[/C][C]-0.0432200309184316[/C][/ROW]
[ROW][C]31[/C][C]15986[/C][C]16048.2262083617[/C][C]15877.3981740204[/C][C]62.22620836171[/C][C]108.601825979555[/C][C]0.271983421683458[/C][/ROW]
[ROW][C]32[/C][C]15983[/C][C]16044.6397511119[/C][C]15928.7468785298[/C][C]61.6397511119189[/C][C]54.2531214702492[/C][C]-0.0806101036648515[/C][/ROW]
[ROW][C]33[/C][C]15692[/C][C]15759.4797360290[/C][C]16100.4317237832[/C][C]67.4797360289696[/C][C]-408.431723783209[/C][C]0.81632027217282[/C][/ROW]
[ROW][C]34[/C][C]16490[/C][C]16563.4467240256[/C][C]16282.1067353452[/C][C]73.4467240256002[/C][C]207.893264654839[/C][C]0.845799882141688[/C][/ROW]
[ROW][C]35[/C][C]15686[/C][C]15757.8873726201[/C][C]16325.3374782275[/C][C]71.8873726200522[/C][C]-639.337478227512[/C][C]-0.223472602865751[/C][/ROW]
[ROW][C]36[/C][C]18897[/C][C]18982.4097568336[/C][C]16661.1131040203[/C][C]85.4097568335573[/C][C]2235.88689597968[/C][C]1.95194819402148[/C][/ROW]
[ROW][C]37[/C][C]16316[/C][C]16400.2053883081[/C][C]16723.0230360093[/C][C]84.2053883081234[/C][C]-407.023036009263[/C][C]-0.174005251309701[/C][/ROW]
[ROW][C]38[/C][C]15636[/C][C]15715.3759710443[/C][C]16713.7172262334[/C][C]79.3759710442796[/C][C]-1077.71722623338[/C][C]-0.692066109425585[/C][/ROW]
[ROW][C]39[/C][C]17163[/C][C]17244.4053879884[/C][C]16831.8964758517[/C][C]81.4053879883748[/C][C]331.103524148294[/C][C]0.286209760715423[/C][/ROW]
[ROW][C]40[/C][C]16534[/C][C]16609.1967487352[/C][C]16796.1361257456[/C][C]75.1967487352262[/C][C]-262.136125745639[/C][C]-0.86037097664727[/C][/ROW]
[ROW][C]41[/C][C]16518[/C][C]16578.4514073538[/C][C]16595.8167794313[/C][C]60.4514073538403[/C][C]-77.8167794313284[/C][C]-2.01850104025196[/C][/ROW]
[ROW][C]42[/C][C]16375[/C][C]16432.4101151607[/C][C]16599.7307850088[/C][C]57.4101151607113[/C][C]-224.730785008773[/C][C]-0.414637749542108[/C][/ROW]
[ROW][C]43[/C][C]16290[/C][C]16339.6847772582[/C][C]16513.5878467130[/C][C]49.6847772582255[/C][C]-223.587846712959[/C][C]-1.05576587816445[/C][/ROW]
[ROW][C]44[/C][C]16352[/C][C]16397.4561734050[/C][C]16484.4540742751[/C][C]45.4561734049545[/C][C]-132.454074275099[/C][C]-0.580951664466268[/C][/ROW]
[ROW][C]45[/C][C]15943[/C][C]15986.3849047873[/C][C]16491.1092344588[/C][C]43.3849047873067[/C][C]-548.109234458764[/C][C]-0.286122147509981[/C][/ROW]
[ROW][C]46[/C][C]16362[/C][C]16399.8153997367[/C][C]16429.5983468821[/C][C]37.815399736733[/C][C]-67.598346882089[/C][C]-0.772925383912537[/C][/ROW]
[ROW][C]47[/C][C]16393[/C][C]16441.4259559579[/C][C]16668.1332559756[/C][C]48.4259559578775[/C][C]-275.133255975595[/C][C]1.47794698241834[/C][/ROW]
[ROW][C]48[/C][C]19051[/C][C]19103.1624974509[/C][C]16787.415970105[/C][C]52.1624974509109[/C][C]2263.58402989500[/C][C]0.521772960478365[/C][/ROW]
[ROW][C]49[/C][C]16747[/C][C]16803.8111048941[/C][C]16927.7340247171[/C][C]56.8111048941409[/C][C]-180.734024717103[/C][C]0.649499979507535[/C][/ROW]
[ROW][C]50[/C][C]16320[/C][C]16383.6042499082[/C][C]17113.0928791237[/C][C]63.6042499082173[/C][C]-793.092879123735[/C][C]0.947131566555392[/C][/ROW]
[ROW][C]51[/C][C]17910[/C][C]17978.5861444166[/C][C]17270.6418196161[/C][C]68.5861444166098[/C][C]639.358180383852[/C][C]0.69150670359207[/C][/ROW]
[ROW][C]52[/C][C]16961[/C][C]17024.7246326603[/C][C]17247.8924516135[/C][C]63.7246326602895[/C][C]-286.892451613550[/C][C]-0.6713115311164[/C][/ROW]
[ROW][C]53[/C][C]17480[/C][C]17544.4454361622[/C][C]17325.1191475745[/C][C]64.44543616219[/C][C]154.880852425541[/C][C]0.0991472221876955[/C][/ROW]
[ROW][C]54[/C][C]17049[/C][C]17109.3022709007[/C][C]17312.0858576788[/C][C]60.3022709007103[/C][C]-263.085857678771[/C][C]-0.569037817998455[/C][/ROW]
[ROW][C]55[/C][C]16879[/C][C]16932.3470467336[/C][C]17242.3671612108[/C][C]53.3470467335768[/C][C]-363.367161210762[/C][C]-0.955814972472107[/C][/ROW]
[ROW][C]56[/C][C]17473[/C][C]17529.3300330641[/C][C]17351.5209957029[/C][C]56.3300330641291[/C][C]121.479004297149[/C][C]0.410589954146277[/C][/ROW]
[ROW][C]57[/C][C]16998[/C][C]17058.1143242072[/C][C]17478.7527685271[/C][C]60.1143242071860[/C][C]-480.752768527121[/C][C]0.521754101189441[/C][/ROW]
[ROW][C]58[/C][C]17307[/C][C]17368.6918986107[/C][C]17568.4741109014[/C][C]61.691898610739[/C][C]-261.474110901357[/C][C]0.217805644509610[/C][/ROW]
[ROW][C]59[/C][C]17418[/C][C]17483.0524784500[/C][C]17693.3269836827[/C][C]65.0524784499592[/C][C]-275.326983682686[/C][C]0.464495230746059[/C][/ROW]
[ROW][C]60[/C][C]20169[/C][C]20239.4679492649[/C][C]17860.2494361084[/C][C]70.4679492648824[/C][C]2308.75056389164[/C][C]0.749166786818708[/C][/ROW]
[ROW][C]61[/C][C]17871[/C][C]17946.7261447210[/C][C]18029.6405522991[/C][C]75.7261447209669[/C][C]-158.640552299091[/C][C]0.727666511577185[/C][/ROW]
[ROW][C]62[/C][C]17226[/C][C]17302.0004589059[/C][C]18110.5245115710[/C][C]76.0004589058506[/C][C]-884.52451157104[/C][C]0.037944235448267[/C][/ROW]
[ROW][C]63[/C][C]19062[/C][C]19140.5575403847[/C][C]18234.5572700254[/C][C]78.5575403847418[/C][C]827.442729974551[/C][C]0.353264630573422[/C][/ROW]
[ROW][C]64[/C][C]17804[/C][C]17878.777052663[/C][C]18242.1787611418[/C][C]74.7770526629889[/C][C]-438.178761141842[/C][C]-0.521457348362567[/C][/ROW]
[ROW][C]65[/C][C]19100[/C][C]19182.7777917259[/C][C]18466.9457325059[/C][C]82.7777917258623[/C][C]633.05426749405[/C][C]1.10218502294869[/C][/ROW]
[ROW][C]66[/C][C]18522[/C][C]18610.1403602174[/C][C]18650.2015252305[/C][C]88.1403602173717[/C][C]-128.201525230506[/C][C]0.73835603786959[/C][/ROW]
[ROW][C]67[/C][C]18060[/C][C]18145.5454667379[/C][C]18689.7287819752[/C][C]85.5454667378949[/C][C]-629.728781975174[/C][C]-0.357337570795217[/C][/ROW]
[ROW][C]68[/C][C]18869[/C][C]18954.6273208045[/C][C]18776.8080028470[/C][C]85.6273208044576[/C][C]92.1919971530416[/C][C]0.0112775352566685[/C][/ROW]
[ROW][C]69[/C][C]18127[/C][C]18209.5480841698[/C][C]18804.7135859381[/C][C]82.5480841697832[/C][C]-677.713585938127[/C][C]-0.42445991711634[/C][/ROW]
[ROW][C]70[/C][C]18871[/C][C]18958.5518061361[/C][C]18981.1065816888[/C][C]87.5518061361308[/C][C]-110.106581688841[/C][C]0.690013654175918[/C][/ROW]
[ROW][C]71[/C][C]18890[/C][C]18982.4956725489[/C][C]19161.4235663533[/C][C]92.4956725488576[/C][C]-271.423566353257[/C][C]0.681978362131513[/C][/ROW]
[ROW][C]72[/C][C]21263[/C][C]21353.0762168967[/C][C]19208.5077582331[/C][C]90.07621689668[/C][C]2054.49224176685[/C][C]-0.333844069038362[/C][/ROW]
[ROW][C]73[/C][C]19547[/C][C]19643.5548995782[/C][C]19420.1933481326[/C][C]96.5548995781493[/C][C]126.806651867427[/C][C]0.894098448192825[/C][/ROW]
[ROW][C]74[/C][C]18450[/C][C]18545.9495720152[/C][C]19505.3874021292[/C][C]95.9495720151657[/C][C]-1055.38740212923[/C][C]-0.0835331354626137[/C][/ROW]
[ROW][C]75[/C][C]20254[/C][C]20347.1562649718[/C][C]19548.9265106949[/C][C]93.156264971797[/C][C]705.073489305116[/C][C]-0.385335983346102[/C][/ROW]
[ROW][C]76[/C][C]19240[/C][C]19335.1799098198[/C][C]19680.0400912674[/C][C]95.179909819775[/C][C]-440.040091267412[/C][C]0.279026604563751[/C][/ROW]
[ROW][C]77[/C][C]20216[/C][C]20309.3334981260[/C][C]19740.5963761845[/C][C]93.3334981259738[/C][C]475.403623815547[/C][C]-0.254484208719289[/C][/ROW]
[ROW][C]78[/C][C]19420[/C][C]19507.3984851367[/C][C]19722.6563448177[/C][C]87.3984851366954[/C][C]-302.656344817737[/C][C]-0.817847173612272[/C][/ROW]
[ROW][C]79[/C][C]19415[/C][C]19504.7818362795[/C][C]19854.7369503513[/C][C]89.781836279546[/C][C]-439.736950351284[/C][C]0.328439734536982[/C][/ROW]
[ROW][C]80[/C][C]20018[/C][C]20108.4601293099[/C][C]19957.2357168735[/C][C]90.4601293098559[/C][C]60.7642831264537[/C][C]0.0934873708840648[/C][/ROW]
[ROW][C]81[/C][C]18652[/C][C]18732.2626073329[/C][C]19856.4860911417[/C][C]80.262607332886[/C][C]-1204.48609114171[/C][C]-1.40571677346299[/C][/ROW]
[ROW][C]82[/C][C]19978[/C][C]20059.1259262908[/C][C]19952.9388984069[/C][C]81.125926290822[/C][C]25.0611015931302[/C][C]0.119020635507625[/C][/ROW]
[ROW][C]83[/C][C]19509[/C][C]19586.4195110991[/C][C]19964.5467537368[/C][C]77.4195110990556[/C][C]-455.54675373678[/C][C]-0.51102528352137[/C][/ROW]
[ROW][C]84[/C][C]21971[/C][C]22046.5318898164[/C][C]20006.5581952663[/C][C]75.5318898164371[/C][C]1964.44180473367[/C][C]-0.260279917278426[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10033&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10033&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 t Observed Fitted Level Slope Seasonal Residuals 1 13328 13328 13328 0 0 0 2 12873 12876.8257891851 13200.6819478145 3.82578918514634 -327.68194781448 -1.30937963159356 3 14000 14022.0031954161 13460.2391750261 22.0031954161445 539.760824973865 1.31765525270691 4 13477 13503.285105943 13535.9804208991 26.285105942988 -58.9804208991019 0.311977226123143 5 14237 14279.1871681780 13789.3673061054 42.1871681780315 447.632693894581 1.58162610681454 6 13674 13716.3300535845 13834.0894067324 42.3300535845046 -160.089406732357 0.0192376923718027 7 13529 13565.7762045799 13756.2214150021 36.7762045798851 -227.221415002069 -0.937057013630214 8 14058 14096.0529624696 13824.1263117638 38.052962469584 233.873688236230 0.243826417267901 9 12975 13001.9841057964 13582.4987752674 26.9841057964398 -607.498775267415 -2.18590323595731 10 14326 14357.8225898324 13729.7204596292 31.8225898323746 596.279540370772 0.935766933751675 11 14008 14044.3499767304 13869.9742390004 36.3499767303937 138.025760999587 0.840035252978843 12 16193 16261.9600450982 14657.8365021228 68.9600450982356 1535.16349787723 5.79802749363536 13 14483 14556.6530809516 14941.1548111521 73.6530809516055 -458.154811152081 1.70324729921804 14 14011 14083.5661000211 14973.5337540679 72.56610002109 -962.533754067875 -0.330836466619584 15 15057 15123.9424354256 14910.4226513923 66.9424354256193 146.577348607663 -1.01555961592100 16 14884 14950.3965410181 14966.9570940873 66.3965410181129 -82.9570940873432 -0.0738137548231807 17 15414 15477.5594131343 14983.5563712051 63.5594131342866 430.443628794902 -0.353622835038707 18 14440 14491.8576431762 14842.0470949073 51.8576431761596 -402.04709490728 -1.49507756240521 19 14900 14950.9658922650 14877.7132990105 50.965892265038 22.2867009895442 -0.120639961851066 20 15074 15121.104965195 14855.4215561017 47.1049651949951 218.578443898257 -0.551266726939755 21 14442 14493.8605348171 14996.3157694375 51.8605348170913 -554.315769437457 0.706960235998102 22 15307 15360.7716010294 15087.0676218772 53.7716010293883 219.932378122800 0.292538866816767 23 14938 14995.9402455145 15228.0596750919 57.9402455145203 -290.059675091854 0.654261787956202 24 17193 17259.2993886137 15465.3750700089 66.2993886136976 1727.62492999106 1.34474028856297 25 15528 15602.0185876088 15699.5442321763 74.0185876088331 -171.544232176331 1.26208555258566 26 14765 14838.8065274304 15769.0633384170 73.806527430363 -1004.06333841696 -0.0337794511447212 27 15838 15908.2059502489 15770.3671276436 70.2059502489409 67.6328723564073 -0.537689018234094 28 15723 15789.4079039139 15767.9178383391 66.4079039138715 -44.9178383390633 -0.531044660759293 29 16150 16210.5361068853 15725.6628456300 60.5361068853177 424.337154370023 -0.790177339025636 30 15486 15546.2124988847 15780.2862005268 60.2124988847452 -294.286200526844 -0.0432200309184316 31 15986 16048.2262083617 15877.3981740204 62.22620836171 108.601825979555 0.271983421683458 32 15983 16044.6397511119 15928.7468785298 61.6397511119189 54.2531214702492 -0.0806101036648515 33 15692 15759.4797360290 16100.4317237832 67.4797360289696 -408.431723783209 0.81632027217282 34 16490 16563.4467240256 16282.1067353452 73.4467240256002 207.893264654839 0.845799882141688 35 15686 15757.8873726201 16325.3374782275 71.8873726200522 -639.337478227512 -0.223472602865751 36 18897 18982.4097568336 16661.1131040203 85.4097568335573 2235.88689597968 1.95194819402148 37 16316 16400.2053883081 16723.0230360093 84.2053883081234 -407.023036009263 -0.174005251309701 38 15636 15715.3759710443 16713.7172262334 79.3759710442796 -1077.71722623338 -0.692066109425585 39 17163 17244.4053879884 16831.8964758517 81.4053879883748 331.103524148294 0.286209760715423 40 16534 16609.1967487352 16796.1361257456 75.1967487352262 -262.136125745639 -0.86037097664727 41 16518 16578.4514073538 16595.8167794313 60.4514073538403 -77.8167794313284 -2.01850104025196 42 16375 16432.4101151607 16599.7307850088 57.4101151607113 -224.730785008773 -0.414637749542108 43 16290 16339.6847772582 16513.5878467130 49.6847772582255 -223.587846712959 -1.05576587816445 44 16352 16397.4561734050 16484.4540742751 45.4561734049545 -132.454074275099 -0.580951664466268 45 15943 15986.3849047873 16491.1092344588 43.3849047873067 -548.109234458764 -0.286122147509981 46 16362 16399.8153997367 16429.5983468821 37.815399736733 -67.598346882089 -0.772925383912537 47 16393 16441.4259559579 16668.1332559756 48.4259559578775 -275.133255975595 1.47794698241834 48 19051 19103.1624974509 16787.415970105 52.1624974509109 2263.58402989500 0.521772960478365 49 16747 16803.8111048941 16927.7340247171 56.8111048941409 -180.734024717103 0.649499979507535 50 16320 16383.6042499082 17113.0928791237 63.6042499082173 -793.092879123735 0.947131566555392 51 17910 17978.5861444166 17270.6418196161 68.5861444166098 639.358180383852 0.69150670359207 52 16961 17024.7246326603 17247.8924516135 63.7246326602895 -286.892451613550 -0.6713115311164 53 17480 17544.4454361622 17325.1191475745 64.44543616219 154.880852425541 0.0991472221876955 54 17049 17109.3022709007 17312.0858576788 60.3022709007103 -263.085857678771 -0.569037817998455 55 16879 16932.3470467336 17242.3671612108 53.3470467335768 -363.367161210762 -0.955814972472107 56 17473 17529.3300330641 17351.5209957029 56.3300330641291 121.479004297149 0.410589954146277 57 16998 17058.1143242072 17478.7527685271 60.1143242071860 -480.752768527121 0.521754101189441 58 17307 17368.6918986107 17568.4741109014 61.691898610739 -261.474110901357 0.217805644509610 59 17418 17483.0524784500 17693.3269836827 65.0524784499592 -275.326983682686 0.464495230746059 60 20169 20239.4679492649 17860.2494361084 70.4679492648824 2308.75056389164 0.749166786818708 61 17871 17946.7261447210 18029.6405522991 75.7261447209669 -158.640552299091 0.727666511577185 62 17226 17302.0004589059 18110.5245115710 76.0004589058506 -884.52451157104 0.037944235448267 63 19062 19140.5575403847 18234.5572700254 78.5575403847418 827.442729974551 0.353264630573422 64 17804 17878.777052663 18242.1787611418 74.7770526629889 -438.178761141842 -0.521457348362567 65 19100 19182.7777917259 18466.9457325059 82.7777917258623 633.05426749405 1.10218502294869 66 18522 18610.1403602174 18650.2015252305 88.1403602173717 -128.201525230506 0.73835603786959 67 18060 18145.5454667379 18689.7287819752 85.5454667378949 -629.728781975174 -0.357337570795217 68 18869 18954.6273208045 18776.8080028470 85.6273208044576 92.1919971530416 0.0112775352566685 69 18127 18209.5480841698 18804.7135859381 82.5480841697832 -677.713585938127 -0.42445991711634 70 18871 18958.5518061361 18981.1065816888 87.5518061361308 -110.106581688841 0.690013654175918 71 18890 18982.4956725489 19161.4235663533 92.4956725488576 -271.423566353257 0.681978362131513 72 21263 21353.0762168967 19208.5077582331 90.07621689668 2054.49224176685 -0.333844069038362 73 19547 19643.5548995782 19420.1933481326 96.5548995781493 126.806651867427 0.894098448192825 74 18450 18545.9495720152 19505.3874021292 95.9495720151657 -1055.38740212923 -0.0835331354626137 75 20254 20347.1562649718 19548.9265106949 93.156264971797 705.073489305116 -0.385335983346102 76 19240 19335.1799098198 19680.0400912674 95.179909819775 -440.040091267412 0.279026604563751 77 20216 20309.3334981260 19740.5963761845 93.3334981259738 475.403623815547 -0.254484208719289 78 19420 19507.3984851367 19722.6563448177 87.3984851366954 -302.656344817737 -0.817847173612272 79 19415 19504.7818362795 19854.7369503513 89.781836279546 -439.736950351284 0.328439734536982 80 20018 20108.4601293099 19957.2357168735 90.4601293098559 60.7642831264537 0.0934873708840648 81 18652 18732.2626073329 19856.4860911417 80.262607332886 -1204.48609114171 -1.40571677346299 82 19978 20059.1259262908 19952.9388984069 81.125926290822 25.0611015931302 0.119020635507625 83 19509 19586.4195110991 19964.5467537368 77.4195110990556 -455.54675373678 -0.51102528352137 84 21971 22046.5318898164 20006.5581952663 75.5318898164371 1964.44180473367 -0.260279917278426

par1 <- as.numeric(par1)nx <- length(x)x <- ts(x,frequency=par1)m <- StructTS(x,type='BSM')m$coefm$fittedm$residmylevel <- as.numeric(m$fitted[,'level'])myslope <- as.numeric(m$fitted[,'slope'])myseas <- as.numeric(m$fitted[,'sea'])myresid <- as.numeric(m$resid)myfit <- mylevel+myslope+myseasbitmap(file='test1.png')op <- par(mfrow = c(2,1))plot(as.numeric(x),main='Interpolation Fit',ylab='Observed (black) / Fitted (red)',xlab='time',type='b')lines(myfit, col = 'red')grid()plot(as.numeric(m$resid),main='Residuals',ylab='Residuals',xlab='time')grid()par(op)dev.off()mylagmax <- nx/2bitmap(file='test2.png')op <- par(mfrow = c(3,2))acf(as.numeric(x),lag.max = mylagmax,main='Observed')acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')acf(myslope,na.action=na.pass,lag.max = mylagmax,main='Slope')acf(mylevel + myslope,na.action=na.pass,lag.max = mylagmax,main='Level+Slope')acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Residals')par(op)dev.off()bitmap(file='test3.png')op <- par(mfrow = c(3,2))spectrum(as.numeric(x),main='Observed')spectrum(mylevel,main='Level')spectrum(myslope,main='Slope')spectrum(mylevel + myslope,main='Level+Slope')spectrum(myseas,main='Seasonal')spectrum(myresid,main='Residals')par(op)dev.off()bitmap(file='test4.png')op <- par(mfrow = c(2,2))cpgram(as.numeric(x),main='Observed')cpgram(mylevel + myslope,main='Level+Slope')cpgram(myseas,main='Seasonal')cpgram(myresid,main='Residals')par(op)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',7,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,'Fitted',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,'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,myfit[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')