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Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationWed, 29 Dec 2010 19:20:12 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/29/t12936503917hg9xoxepvt6wbx.htm/, Retrieved Fri, 03 May 2024 13:23:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117054, Retrieved Fri, 03 May 2024 13:23:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Decomposition by Loess] [HPC Retail Sales] [2008-03-06 11:35:25] [74be16979710d4c4e7c6647856088456]
-  M D  [Decomposition by Loess] [Paper 'Seasonal d...] [2010-12-20 16:48:55] [40c8b935cbad1b0be3c22a481f9723f7]
-           [Decomposition by Loess] [paper (14)] [2010-12-29 19:20:12] [f420459ea4e1f042529d081e77704a0f] [Current]
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Dataseries X:
9,3
14,2
17,3
23
16,3
18,4
14,2
9,1
5,9
7,2
6,8
8
14,3
14,6
17,5
17,2
17,2
14,1
10,4
6,8
4,1
6,5
6,1
6,3
9,3
16,4
16,1
18
17,6
14
10,5
6,9
2,8
0,7
3,6
6,7
12,5
14,4
16,5
18,7
19,4
15,8
11,3
9,7
2,9
0,1
2,5
6,7
10,3
11,2
17,4
20,5
17
14,2
10,6
6,1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org

\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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117054&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117054&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117054&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal561057
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 561 & 0 & 57 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117054&T=1

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Parameters[/C][/ROW]
[ROW][C]Component[/C][C]Window[/C][C]Degree[/C][C]Jump[/C][/ROW]
[ROW][C]Seasonal[/C][C]561[/C][C]0[/C][C]57[/C][/ROW]
[ROW][C]Trend[/C][C]19[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]Low-pass[/C][C]13[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117054&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117054&T=1

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal561057
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
19.37.277875512215270.020650018964245611.3014744688205-2.02212448778473
214.213.82299437664533.0537508409326511.5232547824221-0.377005623354744
317.316.98811629113575.8668486128406211.7450350960237-0.311883708864313
42325.63910238990788.4228057561261511.9380918539662.63910238990784
516.313.99008331963336.478768068458412.1311486119083-2.30991668036671
618.420.19479150508854.3068514526466912.29835704226481.79479150508853
714.215.49949761971420.43493690766454812.46556547262121.29949761971422
89.18.84112869650511-3.245159964969512.6040312684644-0.258871303494889
95.96.29236914128705-7.234866205594612.74249706430760.392369141287054
107.29.24471900437254-7.5279770159890212.68325801161652.04471900437254
116.87.3720690651996-6.39608802412512.62401895892540.572069065199594
1287.81805337693193-4.1805205006707612.3624671237388-0.18194662306807
1314.316.47843469248350.020650018964245612.10091528855222.17843469248351
1414.614.31140310591023.0537508409326511.8348460531572-0.288596894089807
1517.517.56437456939735.8668486128406211.56877681776210.0643745693973123
1617.214.57455932332138.4228057561261511.4026349205526-2.62544067667874
1717.216.68473890819856.478768068458411.2364930233431-0.515261091801497
1814.112.75947273214674.3068514526466911.1336758152066-1.34052726785329
1910.49.334204485265370.43493690766454811.0308586070701-1.06579551473463
206.85.84079317473804-3.245159964969511.0043667902315-0.959206825261964
214.14.45699123220176-7.234866205594610.97787497339280.356991232201757
226.59.51763148669913-7.5279770159890211.01034552928993.01763148669913
236.17.55327193893807-6.39608802412511.04281608518691.45327193893807
246.35.74605472505956-4.1805205006707611.0344657756112-0.553945274940443
259.37.553234515000280.020650018964245611.0261154660355-1.74676548499972
2616.418.8383339390983.0537508409326510.90791521996942.43833393909797
2716.115.54343641325615.8668486128406210.7897149739033-0.556563586743904
281816.97861965814098.4228057561261510.598574585733-1.02138034185915
2917.618.31379773397896.478768068458410.40743419756270.7137977339789
301413.36426314724664.3068514526466910.3288854001067-0.635736852753443
3110.510.31472648968470.43493690766454810.2503366026508-0.185273510315341
326.96.76913710495946-3.245159964969510.27602286001-0.130862895040536
332.82.53315708822532-7.234866205594610.3017091173693-0.266842911774685
340.7-1.46205745039481-7.5279770159890210.3900344663838-2.16205745039481
353.63.11772820872663-6.39608802412510.4783598153984-0.482271791273366
366.76.96228908572193-4.1805205006707610.61823141494880.26228908572193
3712.514.22124696653650.020650018964245610.75810301449931.72124696653647
3814.414.85752471648623.0537508409326510.88872444258120.457524716486169
3916.516.11380551649635.8668486128406211.0193458706631-0.386194483503694
4018.717.95902838770518.4228057561261511.0181658561687-0.740971612294887
4119.421.30424608986726.478768068458411.01698584167441.90424608986722
4215.816.39398730013454.3068514526466910.89916124721880.593987300134518
4311.311.38372643957230.43493690766454810.78133665276320.0837264395722581
449.711.9919239800575-3.245159964969510.6532359849122.29192398005752
452.92.50973088853384-7.234866205594610.5251353170608-0.390269111466164
460.1-2.72100995822562-7.5279770159890210.4489869742146-2.82100995822562
472.51.02324939275649-6.39608802412510.3728386313685-1.47675060724351
486.77.24593107457508-4.1805205006707610.33458942609570.545931074575082
4910.310.28300976021290.020650018964245610.2963402208228-0.0169902397870878
5011.29.100863236331623.0537508409326510.2453859227357-2.09913676366838
5117.418.73871976251085.8668486128406210.19443162464861.33871976251077
5220.522.41364627257018.4228057561261510.16354797130381.91364627257008
531717.38856761358276.478768068458410.13266431795890.388567613582682
5414.213.97609478743134.3068514526466910.117053759922-0.223905212568688
5510.610.66361989045040.43493690766454810.10144320188510.0636198904503864
566.15.3556535490445-3.245159964969510.089506415925-0.744346450955499

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 9.3 & 7.27787551221527 & 0.0206500189642456 & 11.3014744688205 & -2.02212448778473 \tabularnewline
2 & 14.2 & 13.8229943766453 & 3.05375084093265 & 11.5232547824221 & -0.377005623354744 \tabularnewline
3 & 17.3 & 16.9881162911357 & 5.86684861284062 & 11.7450350960237 & -0.311883708864313 \tabularnewline
4 & 23 & 25.6391023899078 & 8.42280575612615 & 11.938091853966 & 2.63910238990784 \tabularnewline
5 & 16.3 & 13.9900833196333 & 6.4787680684584 & 12.1311486119083 & -2.30991668036671 \tabularnewline
6 & 18.4 & 20.1947915050885 & 4.30685145264669 & 12.2983570422648 & 1.79479150508853 \tabularnewline
7 & 14.2 & 15.4994976197142 & 0.434936907664548 & 12.4655654726212 & 1.29949761971422 \tabularnewline
8 & 9.1 & 8.84112869650511 & -3.2451599649695 & 12.6040312684644 & -0.258871303494889 \tabularnewline
9 & 5.9 & 6.29236914128705 & -7.2348662055946 & 12.7424970643076 & 0.392369141287054 \tabularnewline
10 & 7.2 & 9.24471900437254 & -7.52797701598902 & 12.6832580116165 & 2.04471900437254 \tabularnewline
11 & 6.8 & 7.3720690651996 & -6.396088024125 & 12.6240189589254 & 0.572069065199594 \tabularnewline
12 & 8 & 7.81805337693193 & -4.18052050067076 & 12.3624671237388 & -0.18194662306807 \tabularnewline
13 & 14.3 & 16.4784346924835 & 0.0206500189642456 & 12.1009152885522 & 2.17843469248351 \tabularnewline
14 & 14.6 & 14.3114031059102 & 3.05375084093265 & 11.8348460531572 & -0.288596894089807 \tabularnewline
15 & 17.5 & 17.5643745693973 & 5.86684861284062 & 11.5687768177621 & 0.0643745693973123 \tabularnewline
16 & 17.2 & 14.5745593233213 & 8.42280575612615 & 11.4026349205526 & -2.62544067667874 \tabularnewline
17 & 17.2 & 16.6847389081985 & 6.4787680684584 & 11.2364930233431 & -0.515261091801497 \tabularnewline
18 & 14.1 & 12.7594727321467 & 4.30685145264669 & 11.1336758152066 & -1.34052726785329 \tabularnewline
19 & 10.4 & 9.33420448526537 & 0.434936907664548 & 11.0308586070701 & -1.06579551473463 \tabularnewline
20 & 6.8 & 5.84079317473804 & -3.2451599649695 & 11.0043667902315 & -0.959206825261964 \tabularnewline
21 & 4.1 & 4.45699123220176 & -7.2348662055946 & 10.9778749733928 & 0.356991232201757 \tabularnewline
22 & 6.5 & 9.51763148669913 & -7.52797701598902 & 11.0103455292899 & 3.01763148669913 \tabularnewline
23 & 6.1 & 7.55327193893807 & -6.396088024125 & 11.0428160851869 & 1.45327193893807 \tabularnewline
24 & 6.3 & 5.74605472505956 & -4.18052050067076 & 11.0344657756112 & -0.553945274940443 \tabularnewline
25 & 9.3 & 7.55323451500028 & 0.0206500189642456 & 11.0261154660355 & -1.74676548499972 \tabularnewline
26 & 16.4 & 18.838333939098 & 3.05375084093265 & 10.9079152199694 & 2.43833393909797 \tabularnewline
27 & 16.1 & 15.5434364132561 & 5.86684861284062 & 10.7897149739033 & -0.556563586743904 \tabularnewline
28 & 18 & 16.9786196581409 & 8.42280575612615 & 10.598574585733 & -1.02138034185915 \tabularnewline
29 & 17.6 & 18.3137977339789 & 6.4787680684584 & 10.4074341975627 & 0.7137977339789 \tabularnewline
30 & 14 & 13.3642631472466 & 4.30685145264669 & 10.3288854001067 & -0.635736852753443 \tabularnewline
31 & 10.5 & 10.3147264896847 & 0.434936907664548 & 10.2503366026508 & -0.185273510315341 \tabularnewline
32 & 6.9 & 6.76913710495946 & -3.2451599649695 & 10.27602286001 & -0.130862895040536 \tabularnewline
33 & 2.8 & 2.53315708822532 & -7.2348662055946 & 10.3017091173693 & -0.266842911774685 \tabularnewline
34 & 0.7 & -1.46205745039481 & -7.52797701598902 & 10.3900344663838 & -2.16205745039481 \tabularnewline
35 & 3.6 & 3.11772820872663 & -6.396088024125 & 10.4783598153984 & -0.482271791273366 \tabularnewline
36 & 6.7 & 6.96228908572193 & -4.18052050067076 & 10.6182314149488 & 0.26228908572193 \tabularnewline
37 & 12.5 & 14.2212469665365 & 0.0206500189642456 & 10.7581030144993 & 1.72124696653647 \tabularnewline
38 & 14.4 & 14.8575247164862 & 3.05375084093265 & 10.8887244425812 & 0.457524716486169 \tabularnewline
39 & 16.5 & 16.1138055164963 & 5.86684861284062 & 11.0193458706631 & -0.386194483503694 \tabularnewline
40 & 18.7 & 17.9590283877051 & 8.42280575612615 & 11.0181658561687 & -0.740971612294887 \tabularnewline
41 & 19.4 & 21.3042460898672 & 6.4787680684584 & 11.0169858416744 & 1.90424608986722 \tabularnewline
42 & 15.8 & 16.3939873001345 & 4.30685145264669 & 10.8991612472188 & 0.593987300134518 \tabularnewline
43 & 11.3 & 11.3837264395723 & 0.434936907664548 & 10.7813366527632 & 0.0837264395722581 \tabularnewline
44 & 9.7 & 11.9919239800575 & -3.2451599649695 & 10.653235984912 & 2.29192398005752 \tabularnewline
45 & 2.9 & 2.50973088853384 & -7.2348662055946 & 10.5251353170608 & -0.390269111466164 \tabularnewline
46 & 0.1 & -2.72100995822562 & -7.52797701598902 & 10.4489869742146 & -2.82100995822562 \tabularnewline
47 & 2.5 & 1.02324939275649 & -6.396088024125 & 10.3728386313685 & -1.47675060724351 \tabularnewline
48 & 6.7 & 7.24593107457508 & -4.18052050067076 & 10.3345894260957 & 0.545931074575082 \tabularnewline
49 & 10.3 & 10.2830097602129 & 0.0206500189642456 & 10.2963402208228 & -0.0169902397870878 \tabularnewline
50 & 11.2 & 9.10086323633162 & 3.05375084093265 & 10.2453859227357 & -2.09913676366838 \tabularnewline
51 & 17.4 & 18.7387197625108 & 5.86684861284062 & 10.1944316246486 & 1.33871976251077 \tabularnewline
52 & 20.5 & 22.4136462725701 & 8.42280575612615 & 10.1635479713038 & 1.91364627257008 \tabularnewline
53 & 17 & 17.3885676135827 & 6.4787680684584 & 10.1326643179589 & 0.388567613582682 \tabularnewline
54 & 14.2 & 13.9760947874313 & 4.30685145264669 & 10.117053759922 & -0.223905212568688 \tabularnewline
55 & 10.6 & 10.6636198904504 & 0.434936907664548 & 10.1014432018851 & 0.0636198904503864 \tabularnewline
56 & 6.1 & 5.3556535490445 & -3.2451599649695 & 10.089506415925 & -0.744346450955499 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117054&T=2

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Time Series Components[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Seasonal[/C][C]Trend[/C][C]Remainder[/C][/ROW]
[ROW][C]1[/C][C]9.3[/C][C]7.27787551221527[/C][C]0.0206500189642456[/C][C]11.3014744688205[/C][C]-2.02212448778473[/C][/ROW]
[ROW][C]2[/C][C]14.2[/C][C]13.8229943766453[/C][C]3.05375084093265[/C][C]11.5232547824221[/C][C]-0.377005623354744[/C][/ROW]
[ROW][C]3[/C][C]17.3[/C][C]16.9881162911357[/C][C]5.86684861284062[/C][C]11.7450350960237[/C][C]-0.311883708864313[/C][/ROW]
[ROW][C]4[/C][C]23[/C][C]25.6391023899078[/C][C]8.42280575612615[/C][C]11.938091853966[/C][C]2.63910238990784[/C][/ROW]
[ROW][C]5[/C][C]16.3[/C][C]13.9900833196333[/C][C]6.4787680684584[/C][C]12.1311486119083[/C][C]-2.30991668036671[/C][/ROW]
[ROW][C]6[/C][C]18.4[/C][C]20.1947915050885[/C][C]4.30685145264669[/C][C]12.2983570422648[/C][C]1.79479150508853[/C][/ROW]
[ROW][C]7[/C][C]14.2[/C][C]15.4994976197142[/C][C]0.434936907664548[/C][C]12.4655654726212[/C][C]1.29949761971422[/C][/ROW]
[ROW][C]8[/C][C]9.1[/C][C]8.84112869650511[/C][C]-3.2451599649695[/C][C]12.6040312684644[/C][C]-0.258871303494889[/C][/ROW]
[ROW][C]9[/C][C]5.9[/C][C]6.29236914128705[/C][C]-7.2348662055946[/C][C]12.7424970643076[/C][C]0.392369141287054[/C][/ROW]
[ROW][C]10[/C][C]7.2[/C][C]9.24471900437254[/C][C]-7.52797701598902[/C][C]12.6832580116165[/C][C]2.04471900437254[/C][/ROW]
[ROW][C]11[/C][C]6.8[/C][C]7.3720690651996[/C][C]-6.396088024125[/C][C]12.6240189589254[/C][C]0.572069065199594[/C][/ROW]
[ROW][C]12[/C][C]8[/C][C]7.81805337693193[/C][C]-4.18052050067076[/C][C]12.3624671237388[/C][C]-0.18194662306807[/C][/ROW]
[ROW][C]13[/C][C]14.3[/C][C]16.4784346924835[/C][C]0.0206500189642456[/C][C]12.1009152885522[/C][C]2.17843469248351[/C][/ROW]
[ROW][C]14[/C][C]14.6[/C][C]14.3114031059102[/C][C]3.05375084093265[/C][C]11.8348460531572[/C][C]-0.288596894089807[/C][/ROW]
[ROW][C]15[/C][C]17.5[/C][C]17.5643745693973[/C][C]5.86684861284062[/C][C]11.5687768177621[/C][C]0.0643745693973123[/C][/ROW]
[ROW][C]16[/C][C]17.2[/C][C]14.5745593233213[/C][C]8.42280575612615[/C][C]11.4026349205526[/C][C]-2.62544067667874[/C][/ROW]
[ROW][C]17[/C][C]17.2[/C][C]16.6847389081985[/C][C]6.4787680684584[/C][C]11.2364930233431[/C][C]-0.515261091801497[/C][/ROW]
[ROW][C]18[/C][C]14.1[/C][C]12.7594727321467[/C][C]4.30685145264669[/C][C]11.1336758152066[/C][C]-1.34052726785329[/C][/ROW]
[ROW][C]19[/C][C]10.4[/C][C]9.33420448526537[/C][C]0.434936907664548[/C][C]11.0308586070701[/C][C]-1.06579551473463[/C][/ROW]
[ROW][C]20[/C][C]6.8[/C][C]5.84079317473804[/C][C]-3.2451599649695[/C][C]11.0043667902315[/C][C]-0.959206825261964[/C][/ROW]
[ROW][C]21[/C][C]4.1[/C][C]4.45699123220176[/C][C]-7.2348662055946[/C][C]10.9778749733928[/C][C]0.356991232201757[/C][/ROW]
[ROW][C]22[/C][C]6.5[/C][C]9.51763148669913[/C][C]-7.52797701598902[/C][C]11.0103455292899[/C][C]3.01763148669913[/C][/ROW]
[ROW][C]23[/C][C]6.1[/C][C]7.55327193893807[/C][C]-6.396088024125[/C][C]11.0428160851869[/C][C]1.45327193893807[/C][/ROW]
[ROW][C]24[/C][C]6.3[/C][C]5.74605472505956[/C][C]-4.18052050067076[/C][C]11.0344657756112[/C][C]-0.553945274940443[/C][/ROW]
[ROW][C]25[/C][C]9.3[/C][C]7.55323451500028[/C][C]0.0206500189642456[/C][C]11.0261154660355[/C][C]-1.74676548499972[/C][/ROW]
[ROW][C]26[/C][C]16.4[/C][C]18.838333939098[/C][C]3.05375084093265[/C][C]10.9079152199694[/C][C]2.43833393909797[/C][/ROW]
[ROW][C]27[/C][C]16.1[/C][C]15.5434364132561[/C][C]5.86684861284062[/C][C]10.7897149739033[/C][C]-0.556563586743904[/C][/ROW]
[ROW][C]28[/C][C]18[/C][C]16.9786196581409[/C][C]8.42280575612615[/C][C]10.598574585733[/C][C]-1.02138034185915[/C][/ROW]
[ROW][C]29[/C][C]17.6[/C][C]18.3137977339789[/C][C]6.4787680684584[/C][C]10.4074341975627[/C][C]0.7137977339789[/C][/ROW]
[ROW][C]30[/C][C]14[/C][C]13.3642631472466[/C][C]4.30685145264669[/C][C]10.3288854001067[/C][C]-0.635736852753443[/C][/ROW]
[ROW][C]31[/C][C]10.5[/C][C]10.3147264896847[/C][C]0.434936907664548[/C][C]10.2503366026508[/C][C]-0.185273510315341[/C][/ROW]
[ROW][C]32[/C][C]6.9[/C][C]6.76913710495946[/C][C]-3.2451599649695[/C][C]10.27602286001[/C][C]-0.130862895040536[/C][/ROW]
[ROW][C]33[/C][C]2.8[/C][C]2.53315708822532[/C][C]-7.2348662055946[/C][C]10.3017091173693[/C][C]-0.266842911774685[/C][/ROW]
[ROW][C]34[/C][C]0.7[/C][C]-1.46205745039481[/C][C]-7.52797701598902[/C][C]10.3900344663838[/C][C]-2.16205745039481[/C][/ROW]
[ROW][C]35[/C][C]3.6[/C][C]3.11772820872663[/C][C]-6.396088024125[/C][C]10.4783598153984[/C][C]-0.482271791273366[/C][/ROW]
[ROW][C]36[/C][C]6.7[/C][C]6.96228908572193[/C][C]-4.18052050067076[/C][C]10.6182314149488[/C][C]0.26228908572193[/C][/ROW]
[ROW][C]37[/C][C]12.5[/C][C]14.2212469665365[/C][C]0.0206500189642456[/C][C]10.7581030144993[/C][C]1.72124696653647[/C][/ROW]
[ROW][C]38[/C][C]14.4[/C][C]14.8575247164862[/C][C]3.05375084093265[/C][C]10.8887244425812[/C][C]0.457524716486169[/C][/ROW]
[ROW][C]39[/C][C]16.5[/C][C]16.1138055164963[/C][C]5.86684861284062[/C][C]11.0193458706631[/C][C]-0.386194483503694[/C][/ROW]
[ROW][C]40[/C][C]18.7[/C][C]17.9590283877051[/C][C]8.42280575612615[/C][C]11.0181658561687[/C][C]-0.740971612294887[/C][/ROW]
[ROW][C]41[/C][C]19.4[/C][C]21.3042460898672[/C][C]6.4787680684584[/C][C]11.0169858416744[/C][C]1.90424608986722[/C][/ROW]
[ROW][C]42[/C][C]15.8[/C][C]16.3939873001345[/C][C]4.30685145264669[/C][C]10.8991612472188[/C][C]0.593987300134518[/C][/ROW]
[ROW][C]43[/C][C]11.3[/C][C]11.3837264395723[/C][C]0.434936907664548[/C][C]10.7813366527632[/C][C]0.0837264395722581[/C][/ROW]
[ROW][C]44[/C][C]9.7[/C][C]11.9919239800575[/C][C]-3.2451599649695[/C][C]10.653235984912[/C][C]2.29192398005752[/C][/ROW]
[ROW][C]45[/C][C]2.9[/C][C]2.50973088853384[/C][C]-7.2348662055946[/C][C]10.5251353170608[/C][C]-0.390269111466164[/C][/ROW]
[ROW][C]46[/C][C]0.1[/C][C]-2.72100995822562[/C][C]-7.52797701598902[/C][C]10.4489869742146[/C][C]-2.82100995822562[/C][/ROW]
[ROW][C]47[/C][C]2.5[/C][C]1.02324939275649[/C][C]-6.396088024125[/C][C]10.3728386313685[/C][C]-1.47675060724351[/C][/ROW]
[ROW][C]48[/C][C]6.7[/C][C]7.24593107457508[/C][C]-4.18052050067076[/C][C]10.3345894260957[/C][C]0.545931074575082[/C][/ROW]
[ROW][C]49[/C][C]10.3[/C][C]10.2830097602129[/C][C]0.0206500189642456[/C][C]10.2963402208228[/C][C]-0.0169902397870878[/C][/ROW]
[ROW][C]50[/C][C]11.2[/C][C]9.10086323633162[/C][C]3.05375084093265[/C][C]10.2453859227357[/C][C]-2.09913676366838[/C][/ROW]
[ROW][C]51[/C][C]17.4[/C][C]18.7387197625108[/C][C]5.86684861284062[/C][C]10.1944316246486[/C][C]1.33871976251077[/C][/ROW]
[ROW][C]52[/C][C]20.5[/C][C]22.4136462725701[/C][C]8.42280575612615[/C][C]10.1635479713038[/C][C]1.91364627257008[/C][/ROW]
[ROW][C]53[/C][C]17[/C][C]17.3885676135827[/C][C]6.4787680684584[/C][C]10.1326643179589[/C][C]0.388567613582682[/C][/ROW]
[ROW][C]54[/C][C]14.2[/C][C]13.9760947874313[/C][C]4.30685145264669[/C][C]10.117053759922[/C][C]-0.223905212568688[/C][/ROW]
[ROW][C]55[/C][C]10.6[/C][C]10.6636198904504[/C][C]0.434936907664548[/C][C]10.1014432018851[/C][C]0.0636198904503864[/C][/ROW]
[ROW][C]56[/C][C]6.1[/C][C]5.3556535490445[/C][C]-3.2451599649695[/C][C]10.089506415925[/C][C]-0.744346450955499[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117054&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117054&T=2

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
19.37.277875512215270.020650018964245611.3014744688205-2.02212448778473
214.213.82299437664533.0537508409326511.5232547824221-0.377005623354744
317.316.98811629113575.8668486128406211.7450350960237-0.311883708864313
42325.63910238990788.4228057561261511.9380918539662.63910238990784
516.313.99008331963336.478768068458412.1311486119083-2.30991668036671
618.420.19479150508854.3068514526466912.29835704226481.79479150508853
714.215.49949761971420.43493690766454812.46556547262121.29949761971422
89.18.84112869650511-3.245159964969512.6040312684644-0.258871303494889
95.96.29236914128705-7.234866205594612.74249706430760.392369141287054
107.29.24471900437254-7.5279770159890212.68325801161652.04471900437254
116.87.3720690651996-6.39608802412512.62401895892540.572069065199594
1287.81805337693193-4.1805205006707612.3624671237388-0.18194662306807
1314.316.47843469248350.020650018964245612.10091528855222.17843469248351
1414.614.31140310591023.0537508409326511.8348460531572-0.288596894089807
1517.517.56437456939735.8668486128406211.56877681776210.0643745693973123
1617.214.57455932332138.4228057561261511.4026349205526-2.62544067667874
1717.216.68473890819856.478768068458411.2364930233431-0.515261091801497
1814.112.75947273214674.3068514526466911.1336758152066-1.34052726785329
1910.49.334204485265370.43493690766454811.0308586070701-1.06579551473463
206.85.84079317473804-3.245159964969511.0043667902315-0.959206825261964
214.14.45699123220176-7.234866205594610.97787497339280.356991232201757
226.59.51763148669913-7.5279770159890211.01034552928993.01763148669913
236.17.55327193893807-6.39608802412511.04281608518691.45327193893807
246.35.74605472505956-4.1805205006707611.0344657756112-0.553945274940443
259.37.553234515000280.020650018964245611.0261154660355-1.74676548499972
2616.418.8383339390983.0537508409326510.90791521996942.43833393909797
2716.115.54343641325615.8668486128406210.7897149739033-0.556563586743904
281816.97861965814098.4228057561261510.598574585733-1.02138034185915
2917.618.31379773397896.478768068458410.40743419756270.7137977339789
301413.36426314724664.3068514526466910.3288854001067-0.635736852753443
3110.510.31472648968470.43493690766454810.2503366026508-0.185273510315341
326.96.76913710495946-3.245159964969510.27602286001-0.130862895040536
332.82.53315708822532-7.234866205594610.3017091173693-0.266842911774685
340.7-1.46205745039481-7.5279770159890210.3900344663838-2.16205745039481
353.63.11772820872663-6.39608802412510.4783598153984-0.482271791273366
366.76.96228908572193-4.1805205006707610.61823141494880.26228908572193
3712.514.22124696653650.020650018964245610.75810301449931.72124696653647
3814.414.85752471648623.0537508409326510.88872444258120.457524716486169
3916.516.11380551649635.8668486128406211.0193458706631-0.386194483503694
4018.717.95902838770518.4228057561261511.0181658561687-0.740971612294887
4119.421.30424608986726.478768068458411.01698584167441.90424608986722
4215.816.39398730013454.3068514526466910.89916124721880.593987300134518
4311.311.38372643957230.43493690766454810.78133665276320.0837264395722581
449.711.9919239800575-3.245159964969510.6532359849122.29192398005752
452.92.50973088853384-7.234866205594610.5251353170608-0.390269111466164
460.1-2.72100995822562-7.5279770159890210.4489869742146-2.82100995822562
472.51.02324939275649-6.39608802412510.3728386313685-1.47675060724351
486.77.24593107457508-4.1805205006707610.33458942609570.545931074575082
4910.310.28300976021290.020650018964245610.2963402208228-0.0169902397870878
5011.29.100863236331623.0537508409326510.2453859227357-2.09913676366838
5117.418.73871976251085.8668486128406210.19443162464861.33871976251077
5220.522.41364627257018.4228057561261510.16354797130381.91364627257008
531717.38856761358276.478768068458410.13266431795890.388567613582682
5414.213.97609478743134.3068514526466910.117053759922-0.223905212568688
5510.610.66361989045040.43493690766454810.10144320188510.0636198904503864
566.15.3556535490445-3.245159964969510.089506415925-0.744346450955499



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par4 = ; par5 = 1 ; par6 = ; par7 = 1 ; par8 = FALSE ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #seasonal period
if (par2 != 'periodic') par2 <- as.numeric(par2) #s.window
par3 <- as.numeric(par3) #s.degree
if (par4 == '') par4 <- NULL else par4 <- as.numeric(par4)#t.window
par5 <- as.numeric(par5)#t.degree
if (par6 != '') par6 <- as.numeric(par6)#l.window
par7 <- as.numeric(par7)#l.degree
if (par8 == 'FALSE') par8 <- FALSE else par9 <- TRUE #robust
nx <- length(x)
x <- ts(x,frequency=par1)
if (par6 != '') {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.window=par6, l.degree=par7, robust=par8)
} else {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.degree=par7, robust=par8)
}
m$time.series
m$win
m$deg
m$jump
m$inner
m$outer
bitmap(file='test1.png')
plot(m,main=main)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$time.series[,'trend']),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$time.series[,'seasonal']),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$time.series[,'remainder']),na.action=na.pass,lag.max = mylagmax,main='Remainder')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Parameters',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Component',header=TRUE)
a<-table.element(a,'Window',header=TRUE)
a<-table.element(a,'Degree',header=TRUE)
a<-table.element(a,'Jump',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,m$win['s'])
a<-table.element(a,m$deg['s'])
a<-table.element(a,m$jump['s'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,m$win['t'])
a<-table.element(a,m$deg['t'])
a<-table.element(a,m$jump['t'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Low-pass',header=TRUE)
a<-table.element(a,m$win['l'])
a<-table.element(a,m$deg['l'])
a<-table.element(a,m$jump['l'])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Time Series Components',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,'Fitted',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Remainder',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,x[i]+m$time.series[i,'remainder'])
a<-table.element(a,m$time.series[i,'seasonal'])
a<-table.element(a,m$time.series[i,'trend'])
a<-table.element(a,m$time.series[i,'remainder'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')