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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationFri, 04 Dec 2009 09:23:59 -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/2009/Dec/04/t1259943863bsq8c88jqs0bfdf.htm/, Retrieved Sat, 27 Apr 2024 23:59:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63852, Retrieved Sat, 27 Apr 2024 23:59:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Decomposition by Loess] [] [2009-11-27 15:00:29] [b98453cac15ba1066b407e146608df68]
- R PD    [Decomposition by Loess] [] [2009-12-01 18:48:36] [ee35698a38947a6c6c039b1e3deafc05]
- R PD        [Decomposition by Loess] [] [2009-12-04 16:23:59] [18c0746232b29e9668aa6bedcb8dd698] [Current]
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Dataseries X:
12,6
15,7
13,2
20,3
12,8
8
0,9
3,6
14,1
21,7
24,5
18,9
13,9
11
5,8
15,5
22,4
31,7
30,3
31,4
20,2
19,7
10,8
13,2
15,1
15,6
15,5
12,7
10,9
10
9,1
10,3
16,9
22
27,6
28,9
31
32,9
38,1
28,8
29
21,8
28,8
25,6
28,2
20,2
17,9
16,3
13,2
8,1
4,5
-0,1
0
2,3
2,8
2,9
0,1
3,5
8,6
13,8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63852&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63852&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63852&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal601061
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 601 & 0 & 61 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63852&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]601[/C][C]0[/C][C]61[/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=63852&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63852&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
Seasonal601061
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
112.611.24153636549280.40185208207890513.5566115524283-1.35846363450716
215.717.89296395917650.015188882640247613.49184715818332.19296395917649
313.214.0843905072467-1.1114732711850013.42708276393830.884390507246726
420.328.2379608497765-1.0641457784081513.42618492863167.93796084977653
512.813.6315274673084-1.4568145606333613.42528709332500.831527467308387
684.138463782767-1.5931824596614513.4547186768945-3.861536217233
70.9-9.83460143098397-1.8495488294799613.4841502604639-10.7346014309840
83.6-4.96471194576904-1.2629723421403913.4276842879094-8.56471194576904
914.114.74517825830410.08360342634092813.37121831535490.645178258304128
1021.727.95026372098781.9124348967428113.53730138226946.25026372098778
1124.532.61534859551362.6812669553025313.70338444918398.11534859551358
1218.919.53943081947713.2437914849046315.01677769561820.639430819477145
1313.911.06797697586850.40185208207890516.3301709420526-2.83202302413147
14114.192276266094960.015188882640247617.7925348512648-6.80772373390504
155.8-6.54342548929202-1.1114732711850019.2548987604770-12.3434254892920
1615.512.3349236161878-1.0641457784081519.7292221622204-3.16507638381225
1722.426.0532689966696-1.4568145606333620.20354556396383.65326899666957
1831.744.816974690969-1.5931824596614520.176207768692413.1169746909690
1930.342.3006788560589-1.8495488294799620.148869973421112.0006788560589
2031.444.0008302123807-1.2629723421403920.062142129759712.6008302123807
2120.220.34098228756070.08360342634092819.97541428609840.140982287560696
2219.718.2073162907981.9124348967428119.2802488124592-1.49268370920200
2310.80.3336497058774552.6812669553025318.58508333882-10.4663502941225
2413.25.95165089858733.2437914849046317.2045576165081-7.2483491014127
2515.113.97411602372500.40185208207890515.8240318941961-1.12588397627504
2615.616.3293210843090.015188882640247614.85549003305080.729321084308992
2715.518.2245250992796-1.1114732711850013.88694817190542.72452509927961
2812.712.3758452953743-1.0641457784081514.0883004830339-0.324154704625734
2910.98.96716176647097-1.4568145606333614.2896527941624-1.93283823352903
30106.24682117529538-1.5931824596614515.3463612843661-3.75317882470462
319.13.64647905491021-1.8495488294799616.4030697745697-5.45352094508979
3210.33.92398103521132-1.2629723421403917.9389913069291-6.37601896478868
3316.914.24148373437070.08360342634092819.4749128392884-2.65851626562933
342220.85822139258981.9124348967428121.2293437106674-1.14177860741024
3527.629.5349584626512.6812669553025322.98377458204651.93495846265101
3628.929.97801920711623.2437914849046324.57818930797911.07801920711624
373135.42554388400930.40185208207890526.17260403391184.42554388400929
3832.938.5728949329460.015188882640247627.21191618441385.67289493294599
3938.149.0602449362693-1.1114732711850028.251228334915710.9602449362693
4028.830.4392238024025-1.0641457784081528.22492197600561.63922380240252
412931.2581989435378-1.4568145606333628.19861561709552.25819894353782
4221.818.1918441393956-1.5931824596614527.0013383202659-3.60815586060442
4328.833.6454878060437-1.8495488294799625.80406102343624.84548780604374
4425.628.7152896275461-1.2629723421403923.74768271459433.11528962754606
4528.234.62509216790660.08360342634092821.69130440575246.42509216790662
4620.219.19769493175681.9124348967428119.2898701715004-1.00230506824323
4717.916.23029710744912.6812669553025316.8884359372484-1.66970289255094
4816.314.75099398603523.2437914849046314.6052145290602-1.54900601396478
4913.213.67615479704920.40185208207890512.32199312087190.476154797049196
508.15.876314564243340.015188882640247610.3084965531164-2.22368543575666
514.51.81647328582408-1.111473271185008.29499998536092-2.68352671417592
52-0.1-6.53298960627676-1.064145778408157.39713538468491-6.43298960627676
530-5.04245622337555-1.456814560633366.4992707840089-5.04245622337555
542.30.381727004391410-1.593182459661455.81145545527004-1.91827299560859
552.82.32590870294878-1.849548829479965.12364012653118-0.474091297051217
562.92.52529647743295-1.262972342140394.53767586470745-0.374703522567055
570.1-3.835315029224650.0836034263409283.95171160288372-3.93531502922465
583.51.610872682582751.912434896742813.47669242067444-1.88912731741725
598.611.51705980623232.681266955302533.001673238465162.91705980623231
6013.821.73296828783513.243791484904632.623240227260317.93296828783506

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 12.6 & 11.2415363654928 & 0.401852082078905 & 13.5566115524283 & -1.35846363450716 \tabularnewline
2 & 15.7 & 17.8929639591765 & 0.0151888826402476 & 13.4918471581833 & 2.19296395917649 \tabularnewline
3 & 13.2 & 14.0843905072467 & -1.11147327118500 & 13.4270827639383 & 0.884390507246726 \tabularnewline
4 & 20.3 & 28.2379608497765 & -1.06414577840815 & 13.4261849286316 & 7.93796084977653 \tabularnewline
5 & 12.8 & 13.6315274673084 & -1.45681456063336 & 13.4252870933250 & 0.831527467308387 \tabularnewline
6 & 8 & 4.138463782767 & -1.59318245966145 & 13.4547186768945 & -3.861536217233 \tabularnewline
7 & 0.9 & -9.83460143098397 & -1.84954882947996 & 13.4841502604639 & -10.7346014309840 \tabularnewline
8 & 3.6 & -4.96471194576904 & -1.26297234214039 & 13.4276842879094 & -8.56471194576904 \tabularnewline
9 & 14.1 & 14.7451782583041 & 0.083603426340928 & 13.3712183153549 & 0.645178258304128 \tabularnewline
10 & 21.7 & 27.9502637209878 & 1.91243489674281 & 13.5373013822694 & 6.25026372098778 \tabularnewline
11 & 24.5 & 32.6153485955136 & 2.68126695530253 & 13.7033844491839 & 8.11534859551358 \tabularnewline
12 & 18.9 & 19.5394308194771 & 3.24379148490463 & 15.0167776956182 & 0.639430819477145 \tabularnewline
13 & 13.9 & 11.0679769758685 & 0.401852082078905 & 16.3301709420526 & -2.83202302413147 \tabularnewline
14 & 11 & 4.19227626609496 & 0.0151888826402476 & 17.7925348512648 & -6.80772373390504 \tabularnewline
15 & 5.8 & -6.54342548929202 & -1.11147327118500 & 19.2548987604770 & -12.3434254892920 \tabularnewline
16 & 15.5 & 12.3349236161878 & -1.06414577840815 & 19.7292221622204 & -3.16507638381225 \tabularnewline
17 & 22.4 & 26.0532689966696 & -1.45681456063336 & 20.2035455639638 & 3.65326899666957 \tabularnewline
18 & 31.7 & 44.816974690969 & -1.59318245966145 & 20.1762077686924 & 13.1169746909690 \tabularnewline
19 & 30.3 & 42.3006788560589 & -1.84954882947996 & 20.1488699734211 & 12.0006788560589 \tabularnewline
20 & 31.4 & 44.0008302123807 & -1.26297234214039 & 20.0621421297597 & 12.6008302123807 \tabularnewline
21 & 20.2 & 20.3409822875607 & 0.083603426340928 & 19.9754142860984 & 0.140982287560696 \tabularnewline
22 & 19.7 & 18.207316290798 & 1.91243489674281 & 19.2802488124592 & -1.49268370920200 \tabularnewline
23 & 10.8 & 0.333649705877455 & 2.68126695530253 & 18.58508333882 & -10.4663502941225 \tabularnewline
24 & 13.2 & 5.9516508985873 & 3.24379148490463 & 17.2045576165081 & -7.2483491014127 \tabularnewline
25 & 15.1 & 13.9741160237250 & 0.401852082078905 & 15.8240318941961 & -1.12588397627504 \tabularnewline
26 & 15.6 & 16.329321084309 & 0.0151888826402476 & 14.8554900330508 & 0.729321084308992 \tabularnewline
27 & 15.5 & 18.2245250992796 & -1.11147327118500 & 13.8869481719054 & 2.72452509927961 \tabularnewline
28 & 12.7 & 12.3758452953743 & -1.06414577840815 & 14.0883004830339 & -0.324154704625734 \tabularnewline
29 & 10.9 & 8.96716176647097 & -1.45681456063336 & 14.2896527941624 & -1.93283823352903 \tabularnewline
30 & 10 & 6.24682117529538 & -1.59318245966145 & 15.3463612843661 & -3.75317882470462 \tabularnewline
31 & 9.1 & 3.64647905491021 & -1.84954882947996 & 16.4030697745697 & -5.45352094508979 \tabularnewline
32 & 10.3 & 3.92398103521132 & -1.26297234214039 & 17.9389913069291 & -6.37601896478868 \tabularnewline
33 & 16.9 & 14.2414837343707 & 0.083603426340928 & 19.4749128392884 & -2.65851626562933 \tabularnewline
34 & 22 & 20.8582213925898 & 1.91243489674281 & 21.2293437106674 & -1.14177860741024 \tabularnewline
35 & 27.6 & 29.534958462651 & 2.68126695530253 & 22.9837745820465 & 1.93495846265101 \tabularnewline
36 & 28.9 & 29.9780192071162 & 3.24379148490463 & 24.5781893079791 & 1.07801920711624 \tabularnewline
37 & 31 & 35.4255438840093 & 0.401852082078905 & 26.1726040339118 & 4.42554388400929 \tabularnewline
38 & 32.9 & 38.572894932946 & 0.0151888826402476 & 27.2119161844138 & 5.67289493294599 \tabularnewline
39 & 38.1 & 49.0602449362693 & -1.11147327118500 & 28.2512283349157 & 10.9602449362693 \tabularnewline
40 & 28.8 & 30.4392238024025 & -1.06414577840815 & 28.2249219760056 & 1.63922380240252 \tabularnewline
41 & 29 & 31.2581989435378 & -1.45681456063336 & 28.1986156170955 & 2.25819894353782 \tabularnewline
42 & 21.8 & 18.1918441393956 & -1.59318245966145 & 27.0013383202659 & -3.60815586060442 \tabularnewline
43 & 28.8 & 33.6454878060437 & -1.84954882947996 & 25.8040610234362 & 4.84548780604374 \tabularnewline
44 & 25.6 & 28.7152896275461 & -1.26297234214039 & 23.7476827145943 & 3.11528962754606 \tabularnewline
45 & 28.2 & 34.6250921679066 & 0.083603426340928 & 21.6913044057524 & 6.42509216790662 \tabularnewline
46 & 20.2 & 19.1976949317568 & 1.91243489674281 & 19.2898701715004 & -1.00230506824323 \tabularnewline
47 & 17.9 & 16.2302971074491 & 2.68126695530253 & 16.8884359372484 & -1.66970289255094 \tabularnewline
48 & 16.3 & 14.7509939860352 & 3.24379148490463 & 14.6052145290602 & -1.54900601396478 \tabularnewline
49 & 13.2 & 13.6761547970492 & 0.401852082078905 & 12.3219931208719 & 0.476154797049196 \tabularnewline
50 & 8.1 & 5.87631456424334 & 0.0151888826402476 & 10.3084965531164 & -2.22368543575666 \tabularnewline
51 & 4.5 & 1.81647328582408 & -1.11147327118500 & 8.29499998536092 & -2.68352671417592 \tabularnewline
52 & -0.1 & -6.53298960627676 & -1.06414577840815 & 7.39713538468491 & -6.43298960627676 \tabularnewline
53 & 0 & -5.04245622337555 & -1.45681456063336 & 6.4992707840089 & -5.04245622337555 \tabularnewline
54 & 2.3 & 0.381727004391410 & -1.59318245966145 & 5.81145545527004 & -1.91827299560859 \tabularnewline
55 & 2.8 & 2.32590870294878 & -1.84954882947996 & 5.12364012653118 & -0.474091297051217 \tabularnewline
56 & 2.9 & 2.52529647743295 & -1.26297234214039 & 4.53767586470745 & -0.374703522567055 \tabularnewline
57 & 0.1 & -3.83531502922465 & 0.083603426340928 & 3.95171160288372 & -3.93531502922465 \tabularnewline
58 & 3.5 & 1.61087268258275 & 1.91243489674281 & 3.47669242067444 & -1.88912731741725 \tabularnewline
59 & 8.6 & 11.5170598062323 & 2.68126695530253 & 3.00167323846516 & 2.91705980623231 \tabularnewline
60 & 13.8 & 21.7329682878351 & 3.24379148490463 & 2.62324022726031 & 7.93296828783506 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63852&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]12.6[/C][C]11.2415363654928[/C][C]0.401852082078905[/C][C]13.5566115524283[/C][C]-1.35846363450716[/C][/ROW]
[ROW][C]2[/C][C]15.7[/C][C]17.8929639591765[/C][C]0.0151888826402476[/C][C]13.4918471581833[/C][C]2.19296395917649[/C][/ROW]
[ROW][C]3[/C][C]13.2[/C][C]14.0843905072467[/C][C]-1.11147327118500[/C][C]13.4270827639383[/C][C]0.884390507246726[/C][/ROW]
[ROW][C]4[/C][C]20.3[/C][C]28.2379608497765[/C][C]-1.06414577840815[/C][C]13.4261849286316[/C][C]7.93796084977653[/C][/ROW]
[ROW][C]5[/C][C]12.8[/C][C]13.6315274673084[/C][C]-1.45681456063336[/C][C]13.4252870933250[/C][C]0.831527467308387[/C][/ROW]
[ROW][C]6[/C][C]8[/C][C]4.138463782767[/C][C]-1.59318245966145[/C][C]13.4547186768945[/C][C]-3.861536217233[/C][/ROW]
[ROW][C]7[/C][C]0.9[/C][C]-9.83460143098397[/C][C]-1.84954882947996[/C][C]13.4841502604639[/C][C]-10.7346014309840[/C][/ROW]
[ROW][C]8[/C][C]3.6[/C][C]-4.96471194576904[/C][C]-1.26297234214039[/C][C]13.4276842879094[/C][C]-8.56471194576904[/C][/ROW]
[ROW][C]9[/C][C]14.1[/C][C]14.7451782583041[/C][C]0.083603426340928[/C][C]13.3712183153549[/C][C]0.645178258304128[/C][/ROW]
[ROW][C]10[/C][C]21.7[/C][C]27.9502637209878[/C][C]1.91243489674281[/C][C]13.5373013822694[/C][C]6.25026372098778[/C][/ROW]
[ROW][C]11[/C][C]24.5[/C][C]32.6153485955136[/C][C]2.68126695530253[/C][C]13.7033844491839[/C][C]8.11534859551358[/C][/ROW]
[ROW][C]12[/C][C]18.9[/C][C]19.5394308194771[/C][C]3.24379148490463[/C][C]15.0167776956182[/C][C]0.639430819477145[/C][/ROW]
[ROW][C]13[/C][C]13.9[/C][C]11.0679769758685[/C][C]0.401852082078905[/C][C]16.3301709420526[/C][C]-2.83202302413147[/C][/ROW]
[ROW][C]14[/C][C]11[/C][C]4.19227626609496[/C][C]0.0151888826402476[/C][C]17.7925348512648[/C][C]-6.80772373390504[/C][/ROW]
[ROW][C]15[/C][C]5.8[/C][C]-6.54342548929202[/C][C]-1.11147327118500[/C][C]19.2548987604770[/C][C]-12.3434254892920[/C][/ROW]
[ROW][C]16[/C][C]15.5[/C][C]12.3349236161878[/C][C]-1.06414577840815[/C][C]19.7292221622204[/C][C]-3.16507638381225[/C][/ROW]
[ROW][C]17[/C][C]22.4[/C][C]26.0532689966696[/C][C]-1.45681456063336[/C][C]20.2035455639638[/C][C]3.65326899666957[/C][/ROW]
[ROW][C]18[/C][C]31.7[/C][C]44.816974690969[/C][C]-1.59318245966145[/C][C]20.1762077686924[/C][C]13.1169746909690[/C][/ROW]
[ROW][C]19[/C][C]30.3[/C][C]42.3006788560589[/C][C]-1.84954882947996[/C][C]20.1488699734211[/C][C]12.0006788560589[/C][/ROW]
[ROW][C]20[/C][C]31.4[/C][C]44.0008302123807[/C][C]-1.26297234214039[/C][C]20.0621421297597[/C][C]12.6008302123807[/C][/ROW]
[ROW][C]21[/C][C]20.2[/C][C]20.3409822875607[/C][C]0.083603426340928[/C][C]19.9754142860984[/C][C]0.140982287560696[/C][/ROW]
[ROW][C]22[/C][C]19.7[/C][C]18.207316290798[/C][C]1.91243489674281[/C][C]19.2802488124592[/C][C]-1.49268370920200[/C][/ROW]
[ROW][C]23[/C][C]10.8[/C][C]0.333649705877455[/C][C]2.68126695530253[/C][C]18.58508333882[/C][C]-10.4663502941225[/C][/ROW]
[ROW][C]24[/C][C]13.2[/C][C]5.9516508985873[/C][C]3.24379148490463[/C][C]17.2045576165081[/C][C]-7.2483491014127[/C][/ROW]
[ROW][C]25[/C][C]15.1[/C][C]13.9741160237250[/C][C]0.401852082078905[/C][C]15.8240318941961[/C][C]-1.12588397627504[/C][/ROW]
[ROW][C]26[/C][C]15.6[/C][C]16.329321084309[/C][C]0.0151888826402476[/C][C]14.8554900330508[/C][C]0.729321084308992[/C][/ROW]
[ROW][C]27[/C][C]15.5[/C][C]18.2245250992796[/C][C]-1.11147327118500[/C][C]13.8869481719054[/C][C]2.72452509927961[/C][/ROW]
[ROW][C]28[/C][C]12.7[/C][C]12.3758452953743[/C][C]-1.06414577840815[/C][C]14.0883004830339[/C][C]-0.324154704625734[/C][/ROW]
[ROW][C]29[/C][C]10.9[/C][C]8.96716176647097[/C][C]-1.45681456063336[/C][C]14.2896527941624[/C][C]-1.93283823352903[/C][/ROW]
[ROW][C]30[/C][C]10[/C][C]6.24682117529538[/C][C]-1.59318245966145[/C][C]15.3463612843661[/C][C]-3.75317882470462[/C][/ROW]
[ROW][C]31[/C][C]9.1[/C][C]3.64647905491021[/C][C]-1.84954882947996[/C][C]16.4030697745697[/C][C]-5.45352094508979[/C][/ROW]
[ROW][C]32[/C][C]10.3[/C][C]3.92398103521132[/C][C]-1.26297234214039[/C][C]17.9389913069291[/C][C]-6.37601896478868[/C][/ROW]
[ROW][C]33[/C][C]16.9[/C][C]14.2414837343707[/C][C]0.083603426340928[/C][C]19.4749128392884[/C][C]-2.65851626562933[/C][/ROW]
[ROW][C]34[/C][C]22[/C][C]20.8582213925898[/C][C]1.91243489674281[/C][C]21.2293437106674[/C][C]-1.14177860741024[/C][/ROW]
[ROW][C]35[/C][C]27.6[/C][C]29.534958462651[/C][C]2.68126695530253[/C][C]22.9837745820465[/C][C]1.93495846265101[/C][/ROW]
[ROW][C]36[/C][C]28.9[/C][C]29.9780192071162[/C][C]3.24379148490463[/C][C]24.5781893079791[/C][C]1.07801920711624[/C][/ROW]
[ROW][C]37[/C][C]31[/C][C]35.4255438840093[/C][C]0.401852082078905[/C][C]26.1726040339118[/C][C]4.42554388400929[/C][/ROW]
[ROW][C]38[/C][C]32.9[/C][C]38.572894932946[/C][C]0.0151888826402476[/C][C]27.2119161844138[/C][C]5.67289493294599[/C][/ROW]
[ROW][C]39[/C][C]38.1[/C][C]49.0602449362693[/C][C]-1.11147327118500[/C][C]28.2512283349157[/C][C]10.9602449362693[/C][/ROW]
[ROW][C]40[/C][C]28.8[/C][C]30.4392238024025[/C][C]-1.06414577840815[/C][C]28.2249219760056[/C][C]1.63922380240252[/C][/ROW]
[ROW][C]41[/C][C]29[/C][C]31.2581989435378[/C][C]-1.45681456063336[/C][C]28.1986156170955[/C][C]2.25819894353782[/C][/ROW]
[ROW][C]42[/C][C]21.8[/C][C]18.1918441393956[/C][C]-1.59318245966145[/C][C]27.0013383202659[/C][C]-3.60815586060442[/C][/ROW]
[ROW][C]43[/C][C]28.8[/C][C]33.6454878060437[/C][C]-1.84954882947996[/C][C]25.8040610234362[/C][C]4.84548780604374[/C][/ROW]
[ROW][C]44[/C][C]25.6[/C][C]28.7152896275461[/C][C]-1.26297234214039[/C][C]23.7476827145943[/C][C]3.11528962754606[/C][/ROW]
[ROW][C]45[/C][C]28.2[/C][C]34.6250921679066[/C][C]0.083603426340928[/C][C]21.6913044057524[/C][C]6.42509216790662[/C][/ROW]
[ROW][C]46[/C][C]20.2[/C][C]19.1976949317568[/C][C]1.91243489674281[/C][C]19.2898701715004[/C][C]-1.00230506824323[/C][/ROW]
[ROW][C]47[/C][C]17.9[/C][C]16.2302971074491[/C][C]2.68126695530253[/C][C]16.8884359372484[/C][C]-1.66970289255094[/C][/ROW]
[ROW][C]48[/C][C]16.3[/C][C]14.7509939860352[/C][C]3.24379148490463[/C][C]14.6052145290602[/C][C]-1.54900601396478[/C][/ROW]
[ROW][C]49[/C][C]13.2[/C][C]13.6761547970492[/C][C]0.401852082078905[/C][C]12.3219931208719[/C][C]0.476154797049196[/C][/ROW]
[ROW][C]50[/C][C]8.1[/C][C]5.87631456424334[/C][C]0.0151888826402476[/C][C]10.3084965531164[/C][C]-2.22368543575666[/C][/ROW]
[ROW][C]51[/C][C]4.5[/C][C]1.81647328582408[/C][C]-1.11147327118500[/C][C]8.29499998536092[/C][C]-2.68352671417592[/C][/ROW]
[ROW][C]52[/C][C]-0.1[/C][C]-6.53298960627676[/C][C]-1.06414577840815[/C][C]7.39713538468491[/C][C]-6.43298960627676[/C][/ROW]
[ROW][C]53[/C][C]0[/C][C]-5.04245622337555[/C][C]-1.45681456063336[/C][C]6.4992707840089[/C][C]-5.04245622337555[/C][/ROW]
[ROW][C]54[/C][C]2.3[/C][C]0.381727004391410[/C][C]-1.59318245966145[/C][C]5.81145545527004[/C][C]-1.91827299560859[/C][/ROW]
[ROW][C]55[/C][C]2.8[/C][C]2.32590870294878[/C][C]-1.84954882947996[/C][C]5.12364012653118[/C][C]-0.474091297051217[/C][/ROW]
[ROW][C]56[/C][C]2.9[/C][C]2.52529647743295[/C][C]-1.26297234214039[/C][C]4.53767586470745[/C][C]-0.374703522567055[/C][/ROW]
[ROW][C]57[/C][C]0.1[/C][C]-3.83531502922465[/C][C]0.083603426340928[/C][C]3.95171160288372[/C][C]-3.93531502922465[/C][/ROW]
[ROW][C]58[/C][C]3.5[/C][C]1.61087268258275[/C][C]1.91243489674281[/C][C]3.47669242067444[/C][C]-1.88912731741725[/C][/ROW]
[ROW][C]59[/C][C]8.6[/C][C]11.5170598062323[/C][C]2.68126695530253[/C][C]3.00167323846516[/C][C]2.91705980623231[/C][/ROW]
[ROW][C]60[/C][C]13.8[/C][C]21.7329682878351[/C][C]3.24379148490463[/C][C]2.62324022726031[/C][C]7.93296828783506[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63852&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63852&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
112.611.24153636549280.40185208207890513.5566115524283-1.35846363450716
215.717.89296395917650.015188882640247613.49184715818332.19296395917649
313.214.0843905072467-1.1114732711850013.42708276393830.884390507246726
420.328.2379608497765-1.0641457784081513.42618492863167.93796084977653
512.813.6315274673084-1.4568145606333613.42528709332500.831527467308387
684.138463782767-1.5931824596614513.4547186768945-3.861536217233
70.9-9.83460143098397-1.8495488294799613.4841502604639-10.7346014309840
83.6-4.96471194576904-1.2629723421403913.4276842879094-8.56471194576904
914.114.74517825830410.08360342634092813.37121831535490.645178258304128
1021.727.95026372098781.9124348967428113.53730138226946.25026372098778
1124.532.61534859551362.6812669553025313.70338444918398.11534859551358
1218.919.53943081947713.2437914849046315.01677769561820.639430819477145
1313.911.06797697586850.40185208207890516.3301709420526-2.83202302413147
14114.192276266094960.015188882640247617.7925348512648-6.80772373390504
155.8-6.54342548929202-1.1114732711850019.2548987604770-12.3434254892920
1615.512.3349236161878-1.0641457784081519.7292221622204-3.16507638381225
1722.426.0532689966696-1.4568145606333620.20354556396383.65326899666957
1831.744.816974690969-1.5931824596614520.176207768692413.1169746909690
1930.342.3006788560589-1.8495488294799620.148869973421112.0006788560589
2031.444.0008302123807-1.2629723421403920.062142129759712.6008302123807
2120.220.34098228756070.08360342634092819.97541428609840.140982287560696
2219.718.2073162907981.9124348967428119.2802488124592-1.49268370920200
2310.80.3336497058774552.6812669553025318.58508333882-10.4663502941225
2413.25.95165089858733.2437914849046317.2045576165081-7.2483491014127
2515.113.97411602372500.40185208207890515.8240318941961-1.12588397627504
2615.616.3293210843090.015188882640247614.85549003305080.729321084308992
2715.518.2245250992796-1.1114732711850013.88694817190542.72452509927961
2812.712.3758452953743-1.0641457784081514.0883004830339-0.324154704625734
2910.98.96716176647097-1.4568145606333614.2896527941624-1.93283823352903
30106.24682117529538-1.5931824596614515.3463612843661-3.75317882470462
319.13.64647905491021-1.8495488294799616.4030697745697-5.45352094508979
3210.33.92398103521132-1.2629723421403917.9389913069291-6.37601896478868
3316.914.24148373437070.08360342634092819.4749128392884-2.65851626562933
342220.85822139258981.9124348967428121.2293437106674-1.14177860741024
3527.629.5349584626512.6812669553025322.98377458204651.93495846265101
3628.929.97801920711623.2437914849046324.57818930797911.07801920711624
373135.42554388400930.40185208207890526.17260403391184.42554388400929
3832.938.5728949329460.015188882640247627.21191618441385.67289493294599
3938.149.0602449362693-1.1114732711850028.251228334915710.9602449362693
4028.830.4392238024025-1.0641457784081528.22492197600561.63922380240252
412931.2581989435378-1.4568145606333628.19861561709552.25819894353782
4221.818.1918441393956-1.5931824596614527.0013383202659-3.60815586060442
4328.833.6454878060437-1.8495488294799625.80406102343624.84548780604374
4425.628.7152896275461-1.2629723421403923.74768271459433.11528962754606
4528.234.62509216790660.08360342634092821.69130440575246.42509216790662
4620.219.19769493175681.9124348967428119.2898701715004-1.00230506824323
4717.916.23029710744912.6812669553025316.8884359372484-1.66970289255094
4816.314.75099398603523.2437914849046314.6052145290602-1.54900601396478
4913.213.67615479704920.40185208207890512.32199312087190.476154797049196
508.15.876314564243340.015188882640247610.3084965531164-2.22368543575666
514.51.81647328582408-1.111473271185008.29499998536092-2.68352671417592
52-0.1-6.53298960627676-1.064145778408157.39713538468491-6.43298960627676
530-5.04245622337555-1.456814560633366.4992707840089-5.04245622337555
542.30.381727004391410-1.593182459661455.81145545527004-1.91827299560859
552.82.32590870294878-1.849548829479965.12364012653118-0.474091297051217
562.92.52529647743295-1.262972342140394.53767586470745-0.374703522567055
570.1-3.835315029224650.0836034263409283.95171160288372-3.93531502922465
583.51.610872682582751.912434896742813.47669242067444-1.88912731741725
598.611.51705980623232.681266955302533.001673238465162.91705980623231
6013.821.73296828783513.243791484904632.623240227260317.93296828783506



Parameters (Session):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.005 ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par4 = ; par5 = 1 ; par6 = ; par7 = 1 ; par8 = FALSE ;
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')