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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 12:53:56 -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/t12599565848ej9h0kt4hnomo8.htm/, Retrieved Sun, 28 Apr 2024 06:19:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64112, Retrieved Sun, 28 Apr 2024 06:19:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsws9.9
Estimated Impact135
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]
-    D    [Decomposition by Loess] [WS 9] [2009-12-03 15:11:30] [3e19a07d230ba260a720e0e03e0f40f2]
-   PD        [Decomposition by Loess] [ws9] [2009-12-04 19:53:56] [682632737e024f9e62885141c5f654cd] [Current]
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Dataseries X:
126.51
131.02
136.51
138.04
132.92
129.61
122.96
124.04
121.29
124.56
118.53
113.14
114.15
122.17
129.23
131.19
129.12
128.28
126.83
138.13
140.52
146.83
135.14
131.84
125.7
128.98
133.25
136.76
133.24
128.54
121.08
120.23
119.08
125.75
126.89
126.6
121.89
123.44
126.46
129.49
127.78
125.29
119.02
119.96
122.86
131.89
132.73
135.01
136.71
142.73
144.43
144.93
138.75
130.22
122.19
128.4
140.43
153.5
149.33
142.97




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64112&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64112&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64112&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'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=64112&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=64112&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64112&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
1126.51123.838897343835-4.5918005989784133.772903255143-2.67110265616452
2131.02129.3086880779180.138482229739662132.592829692342-1.71131192208190
3136.51137.1064776134664.50076625699235131.4127561295420.596477613466021
4138.04139.3494048325386.49900336878182130.2315917986801.30940483253787
5132.92134.1183315510222.67124098115847129.0504274678191.19833155102251
6129.61132.826406712296-1.52509748305060127.9186907707553.21640671229549
7122.96126.852482426437-7.71943650012788126.7869540736913.89248242643669
8124.04126.555044457224-4.20978257221519125.7347381149912.51504445722391
9121.29119.649607995001-1.75213015129263124.682522156291-1.64039200499874
10124.56119.5364718086285.72707326460173123.856454926770-5.02352819137209
11118.53112.4753335532461.55427874950482123.030387697249-6.05466644675418
12113.14104.515928357071-1.29259843532114123.056670078250-8.6240716429291
13114.15109.808848139727-4.5918005989784123.082952459251-4.34115186027273
14122.17120.0272998036030.138482229739662124.174217966657-2.14270019639709
15129.23128.6937502689444.50076625699235125.265483474064-0.53624973105606
16131.19128.8365601710726.49900336878182127.044436460146-2.35343982892822
17129.12126.7453695726122.67124098115847128.823389446229-2.37463042738753
18128.28127.735098199716-1.52509748305060130.349999283335-0.544901800283981
19126.83129.502827379688-7.71943650012788131.876609120442.67282737968785
20138.13147.790655660336-4.20978257221519132.6791269118799.66065566033603
21140.52149.310485447974-1.75213015129263133.4816447033188.7904854479743
22146.83154.2499197238175.72707326460173133.6830070115827.41991972381663
23135.14134.8413519306501.55427874950482133.884369319845-0.298648069349781
24131.84131.520839315356-1.29259843532114133.451759119965-0.319160684643975
25125.7122.972651678893-4.5918005989784133.019148920085-2.72734832110692
26128.98125.9309569467430.138482229739662131.890560823517-3.04904305325715
27133.25131.2372610160584.50076625699235130.761972726950-2.01273898394203
28136.76137.4521932617486.49900336878182129.568803369470.692193261748059
29133.24135.4331250068512.67124098115847128.3756340119912.19312500685101
30128.54130.943318536748-1.52509748305060127.6617789463032.40331853674766
31121.08122.931512619513-7.71943650012788126.9479238806151.85151261951258
32120.23118.241497062424-4.20978257221519126.428285509791-1.98850293757611
33119.08114.003483012325-1.75213015129263125.908647138967-5.07651698767468
34125.75120.3602733537695.72707326460173125.412653381629-5.38972664623063
35126.89127.3090616262051.55427874950482124.9166596242910.41906162620468
36126.6129.815414265316-1.29259843532114124.6771841700053.21541426531593
37121.89123.934091883258-4.5918005989784124.437708715722.04409188325849
38123.44122.2124522074830.138482229739662124.529065562777-1.22754779251665
39126.46123.7988113331744.50076625699235124.620422409834-2.66118866682640
40129.49127.5236970407206.49900336878182124.957299590498-1.96630295928028
41127.78127.5945822476792.67124098115847125.294176771163-0.185417752321342
42125.29126.037330163208-1.52509748305060126.0677673198430.747330163207522
43119.02118.918078631605-7.71943650012788126.841357868523-0.101921368395423
44119.96115.959921852565-4.20978257221519128.16986071965-4.00007814743475
45122.86117.973766580516-1.75213015129263129.498363570777-4.88623341948391
46131.89127.2065739483575.72707326460173130.846352787041-4.68342605164267
47132.73131.7113792471901.55427874950482132.194342003305-1.01862075281016
48135.01138.194081434020-1.29259843532114133.1185170013013.1840814340203
49136.71143.969108599682-4.5918005989784134.0426919992967.2591085996821
50142.73150.4429346686440.138482229739662134.8785831016167.71293466864418
51144.43148.6447595390724.50076625699235135.7144742039364.21475953907168
52144.93146.7133409937496.49900336878182136.6476556374691.78334099374891
53138.75137.2479219478392.67124098115847137.580837071003-1.50207805216104
54130.22123.495875217497-1.52509748305060138.469222265553-6.7241247825028
55122.19112.741829040024-7.71943650012788139.357607460104-9.44817095997632
56128.4120.846209507489-4.20978257221519140.163573064726-7.55379049251053
57140.43141.642591481945-1.75213015129263140.9695386693471.21259148194540
58153.5159.4697165003825.72707326460173141.8032102350165.96971650038182
59149.33154.4688394498101.55427874950482142.6368818006865.13883944980952
60142.97143.699372329758-1.29259843532114143.5332261055630.72937232975849

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 126.51 & 123.838897343835 & -4.5918005989784 & 133.772903255143 & -2.67110265616452 \tabularnewline
2 & 131.02 & 129.308688077918 & 0.138482229739662 & 132.592829692342 & -1.71131192208190 \tabularnewline
3 & 136.51 & 137.106477613466 & 4.50076625699235 & 131.412756129542 & 0.596477613466021 \tabularnewline
4 & 138.04 & 139.349404832538 & 6.49900336878182 & 130.231591798680 & 1.30940483253787 \tabularnewline
5 & 132.92 & 134.118331551022 & 2.67124098115847 & 129.050427467819 & 1.19833155102251 \tabularnewline
6 & 129.61 & 132.826406712296 & -1.52509748305060 & 127.918690770755 & 3.21640671229549 \tabularnewline
7 & 122.96 & 126.852482426437 & -7.71943650012788 & 126.786954073691 & 3.89248242643669 \tabularnewline
8 & 124.04 & 126.555044457224 & -4.20978257221519 & 125.734738114991 & 2.51504445722391 \tabularnewline
9 & 121.29 & 119.649607995001 & -1.75213015129263 & 124.682522156291 & -1.64039200499874 \tabularnewline
10 & 124.56 & 119.536471808628 & 5.72707326460173 & 123.856454926770 & -5.02352819137209 \tabularnewline
11 & 118.53 & 112.475333553246 & 1.55427874950482 & 123.030387697249 & -6.05466644675418 \tabularnewline
12 & 113.14 & 104.515928357071 & -1.29259843532114 & 123.056670078250 & -8.6240716429291 \tabularnewline
13 & 114.15 & 109.808848139727 & -4.5918005989784 & 123.082952459251 & -4.34115186027273 \tabularnewline
14 & 122.17 & 120.027299803603 & 0.138482229739662 & 124.174217966657 & -2.14270019639709 \tabularnewline
15 & 129.23 & 128.693750268944 & 4.50076625699235 & 125.265483474064 & -0.53624973105606 \tabularnewline
16 & 131.19 & 128.836560171072 & 6.49900336878182 & 127.044436460146 & -2.35343982892822 \tabularnewline
17 & 129.12 & 126.745369572612 & 2.67124098115847 & 128.823389446229 & -2.37463042738753 \tabularnewline
18 & 128.28 & 127.735098199716 & -1.52509748305060 & 130.349999283335 & -0.544901800283981 \tabularnewline
19 & 126.83 & 129.502827379688 & -7.71943650012788 & 131.87660912044 & 2.67282737968785 \tabularnewline
20 & 138.13 & 147.790655660336 & -4.20978257221519 & 132.679126911879 & 9.66065566033603 \tabularnewline
21 & 140.52 & 149.310485447974 & -1.75213015129263 & 133.481644703318 & 8.7904854479743 \tabularnewline
22 & 146.83 & 154.249919723817 & 5.72707326460173 & 133.683007011582 & 7.41991972381663 \tabularnewline
23 & 135.14 & 134.841351930650 & 1.55427874950482 & 133.884369319845 & -0.298648069349781 \tabularnewline
24 & 131.84 & 131.520839315356 & -1.29259843532114 & 133.451759119965 & -0.319160684643975 \tabularnewline
25 & 125.7 & 122.972651678893 & -4.5918005989784 & 133.019148920085 & -2.72734832110692 \tabularnewline
26 & 128.98 & 125.930956946743 & 0.138482229739662 & 131.890560823517 & -3.04904305325715 \tabularnewline
27 & 133.25 & 131.237261016058 & 4.50076625699235 & 130.761972726950 & -2.01273898394203 \tabularnewline
28 & 136.76 & 137.452193261748 & 6.49900336878182 & 129.56880336947 & 0.692193261748059 \tabularnewline
29 & 133.24 & 135.433125006851 & 2.67124098115847 & 128.375634011991 & 2.19312500685101 \tabularnewline
30 & 128.54 & 130.943318536748 & -1.52509748305060 & 127.661778946303 & 2.40331853674766 \tabularnewline
31 & 121.08 & 122.931512619513 & -7.71943650012788 & 126.947923880615 & 1.85151261951258 \tabularnewline
32 & 120.23 & 118.241497062424 & -4.20978257221519 & 126.428285509791 & -1.98850293757611 \tabularnewline
33 & 119.08 & 114.003483012325 & -1.75213015129263 & 125.908647138967 & -5.07651698767468 \tabularnewline
34 & 125.75 & 120.360273353769 & 5.72707326460173 & 125.412653381629 & -5.38972664623063 \tabularnewline
35 & 126.89 & 127.309061626205 & 1.55427874950482 & 124.916659624291 & 0.41906162620468 \tabularnewline
36 & 126.6 & 129.815414265316 & -1.29259843532114 & 124.677184170005 & 3.21541426531593 \tabularnewline
37 & 121.89 & 123.934091883258 & -4.5918005989784 & 124.43770871572 & 2.04409188325849 \tabularnewline
38 & 123.44 & 122.212452207483 & 0.138482229739662 & 124.529065562777 & -1.22754779251665 \tabularnewline
39 & 126.46 & 123.798811333174 & 4.50076625699235 & 124.620422409834 & -2.66118866682640 \tabularnewline
40 & 129.49 & 127.523697040720 & 6.49900336878182 & 124.957299590498 & -1.96630295928028 \tabularnewline
41 & 127.78 & 127.594582247679 & 2.67124098115847 & 125.294176771163 & -0.185417752321342 \tabularnewline
42 & 125.29 & 126.037330163208 & -1.52509748305060 & 126.067767319843 & 0.747330163207522 \tabularnewline
43 & 119.02 & 118.918078631605 & -7.71943650012788 & 126.841357868523 & -0.101921368395423 \tabularnewline
44 & 119.96 & 115.959921852565 & -4.20978257221519 & 128.16986071965 & -4.00007814743475 \tabularnewline
45 & 122.86 & 117.973766580516 & -1.75213015129263 & 129.498363570777 & -4.88623341948391 \tabularnewline
46 & 131.89 & 127.206573948357 & 5.72707326460173 & 130.846352787041 & -4.68342605164267 \tabularnewline
47 & 132.73 & 131.711379247190 & 1.55427874950482 & 132.194342003305 & -1.01862075281016 \tabularnewline
48 & 135.01 & 138.194081434020 & -1.29259843532114 & 133.118517001301 & 3.1840814340203 \tabularnewline
49 & 136.71 & 143.969108599682 & -4.5918005989784 & 134.042691999296 & 7.2591085996821 \tabularnewline
50 & 142.73 & 150.442934668644 & 0.138482229739662 & 134.878583101616 & 7.71293466864418 \tabularnewline
51 & 144.43 & 148.644759539072 & 4.50076625699235 & 135.714474203936 & 4.21475953907168 \tabularnewline
52 & 144.93 & 146.713340993749 & 6.49900336878182 & 136.647655637469 & 1.78334099374891 \tabularnewline
53 & 138.75 & 137.247921947839 & 2.67124098115847 & 137.580837071003 & -1.50207805216104 \tabularnewline
54 & 130.22 & 123.495875217497 & -1.52509748305060 & 138.469222265553 & -6.7241247825028 \tabularnewline
55 & 122.19 & 112.741829040024 & -7.71943650012788 & 139.357607460104 & -9.44817095997632 \tabularnewline
56 & 128.4 & 120.846209507489 & -4.20978257221519 & 140.163573064726 & -7.55379049251053 \tabularnewline
57 & 140.43 & 141.642591481945 & -1.75213015129263 & 140.969538669347 & 1.21259148194540 \tabularnewline
58 & 153.5 & 159.469716500382 & 5.72707326460173 & 141.803210235016 & 5.96971650038182 \tabularnewline
59 & 149.33 & 154.468839449810 & 1.55427874950482 & 142.636881800686 & 5.13883944980952 \tabularnewline
60 & 142.97 & 143.699372329758 & -1.29259843532114 & 143.533226105563 & 0.72937232975849 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64112&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]126.51[/C][C]123.838897343835[/C][C]-4.5918005989784[/C][C]133.772903255143[/C][C]-2.67110265616452[/C][/ROW]
[ROW][C]2[/C][C]131.02[/C][C]129.308688077918[/C][C]0.138482229739662[/C][C]132.592829692342[/C][C]-1.71131192208190[/C][/ROW]
[ROW][C]3[/C][C]136.51[/C][C]137.106477613466[/C][C]4.50076625699235[/C][C]131.412756129542[/C][C]0.596477613466021[/C][/ROW]
[ROW][C]4[/C][C]138.04[/C][C]139.349404832538[/C][C]6.49900336878182[/C][C]130.231591798680[/C][C]1.30940483253787[/C][/ROW]
[ROW][C]5[/C][C]132.92[/C][C]134.118331551022[/C][C]2.67124098115847[/C][C]129.050427467819[/C][C]1.19833155102251[/C][/ROW]
[ROW][C]6[/C][C]129.61[/C][C]132.826406712296[/C][C]-1.52509748305060[/C][C]127.918690770755[/C][C]3.21640671229549[/C][/ROW]
[ROW][C]7[/C][C]122.96[/C][C]126.852482426437[/C][C]-7.71943650012788[/C][C]126.786954073691[/C][C]3.89248242643669[/C][/ROW]
[ROW][C]8[/C][C]124.04[/C][C]126.555044457224[/C][C]-4.20978257221519[/C][C]125.734738114991[/C][C]2.51504445722391[/C][/ROW]
[ROW][C]9[/C][C]121.29[/C][C]119.649607995001[/C][C]-1.75213015129263[/C][C]124.682522156291[/C][C]-1.64039200499874[/C][/ROW]
[ROW][C]10[/C][C]124.56[/C][C]119.536471808628[/C][C]5.72707326460173[/C][C]123.856454926770[/C][C]-5.02352819137209[/C][/ROW]
[ROW][C]11[/C][C]118.53[/C][C]112.475333553246[/C][C]1.55427874950482[/C][C]123.030387697249[/C][C]-6.05466644675418[/C][/ROW]
[ROW][C]12[/C][C]113.14[/C][C]104.515928357071[/C][C]-1.29259843532114[/C][C]123.056670078250[/C][C]-8.6240716429291[/C][/ROW]
[ROW][C]13[/C][C]114.15[/C][C]109.808848139727[/C][C]-4.5918005989784[/C][C]123.082952459251[/C][C]-4.34115186027273[/C][/ROW]
[ROW][C]14[/C][C]122.17[/C][C]120.027299803603[/C][C]0.138482229739662[/C][C]124.174217966657[/C][C]-2.14270019639709[/C][/ROW]
[ROW][C]15[/C][C]129.23[/C][C]128.693750268944[/C][C]4.50076625699235[/C][C]125.265483474064[/C][C]-0.53624973105606[/C][/ROW]
[ROW][C]16[/C][C]131.19[/C][C]128.836560171072[/C][C]6.49900336878182[/C][C]127.044436460146[/C][C]-2.35343982892822[/C][/ROW]
[ROW][C]17[/C][C]129.12[/C][C]126.745369572612[/C][C]2.67124098115847[/C][C]128.823389446229[/C][C]-2.37463042738753[/C][/ROW]
[ROW][C]18[/C][C]128.28[/C][C]127.735098199716[/C][C]-1.52509748305060[/C][C]130.349999283335[/C][C]-0.544901800283981[/C][/ROW]
[ROW][C]19[/C][C]126.83[/C][C]129.502827379688[/C][C]-7.71943650012788[/C][C]131.87660912044[/C][C]2.67282737968785[/C][/ROW]
[ROW][C]20[/C][C]138.13[/C][C]147.790655660336[/C][C]-4.20978257221519[/C][C]132.679126911879[/C][C]9.66065566033603[/C][/ROW]
[ROW][C]21[/C][C]140.52[/C][C]149.310485447974[/C][C]-1.75213015129263[/C][C]133.481644703318[/C][C]8.7904854479743[/C][/ROW]
[ROW][C]22[/C][C]146.83[/C][C]154.249919723817[/C][C]5.72707326460173[/C][C]133.683007011582[/C][C]7.41991972381663[/C][/ROW]
[ROW][C]23[/C][C]135.14[/C][C]134.841351930650[/C][C]1.55427874950482[/C][C]133.884369319845[/C][C]-0.298648069349781[/C][/ROW]
[ROW][C]24[/C][C]131.84[/C][C]131.520839315356[/C][C]-1.29259843532114[/C][C]133.451759119965[/C][C]-0.319160684643975[/C][/ROW]
[ROW][C]25[/C][C]125.7[/C][C]122.972651678893[/C][C]-4.5918005989784[/C][C]133.019148920085[/C][C]-2.72734832110692[/C][/ROW]
[ROW][C]26[/C][C]128.98[/C][C]125.930956946743[/C][C]0.138482229739662[/C][C]131.890560823517[/C][C]-3.04904305325715[/C][/ROW]
[ROW][C]27[/C][C]133.25[/C][C]131.237261016058[/C][C]4.50076625699235[/C][C]130.761972726950[/C][C]-2.01273898394203[/C][/ROW]
[ROW][C]28[/C][C]136.76[/C][C]137.452193261748[/C][C]6.49900336878182[/C][C]129.56880336947[/C][C]0.692193261748059[/C][/ROW]
[ROW][C]29[/C][C]133.24[/C][C]135.433125006851[/C][C]2.67124098115847[/C][C]128.375634011991[/C][C]2.19312500685101[/C][/ROW]
[ROW][C]30[/C][C]128.54[/C][C]130.943318536748[/C][C]-1.52509748305060[/C][C]127.661778946303[/C][C]2.40331853674766[/C][/ROW]
[ROW][C]31[/C][C]121.08[/C][C]122.931512619513[/C][C]-7.71943650012788[/C][C]126.947923880615[/C][C]1.85151261951258[/C][/ROW]
[ROW][C]32[/C][C]120.23[/C][C]118.241497062424[/C][C]-4.20978257221519[/C][C]126.428285509791[/C][C]-1.98850293757611[/C][/ROW]
[ROW][C]33[/C][C]119.08[/C][C]114.003483012325[/C][C]-1.75213015129263[/C][C]125.908647138967[/C][C]-5.07651698767468[/C][/ROW]
[ROW][C]34[/C][C]125.75[/C][C]120.360273353769[/C][C]5.72707326460173[/C][C]125.412653381629[/C][C]-5.38972664623063[/C][/ROW]
[ROW][C]35[/C][C]126.89[/C][C]127.309061626205[/C][C]1.55427874950482[/C][C]124.916659624291[/C][C]0.41906162620468[/C][/ROW]
[ROW][C]36[/C][C]126.6[/C][C]129.815414265316[/C][C]-1.29259843532114[/C][C]124.677184170005[/C][C]3.21541426531593[/C][/ROW]
[ROW][C]37[/C][C]121.89[/C][C]123.934091883258[/C][C]-4.5918005989784[/C][C]124.43770871572[/C][C]2.04409188325849[/C][/ROW]
[ROW][C]38[/C][C]123.44[/C][C]122.212452207483[/C][C]0.138482229739662[/C][C]124.529065562777[/C][C]-1.22754779251665[/C][/ROW]
[ROW][C]39[/C][C]126.46[/C][C]123.798811333174[/C][C]4.50076625699235[/C][C]124.620422409834[/C][C]-2.66118866682640[/C][/ROW]
[ROW][C]40[/C][C]129.49[/C][C]127.523697040720[/C][C]6.49900336878182[/C][C]124.957299590498[/C][C]-1.96630295928028[/C][/ROW]
[ROW][C]41[/C][C]127.78[/C][C]127.594582247679[/C][C]2.67124098115847[/C][C]125.294176771163[/C][C]-0.185417752321342[/C][/ROW]
[ROW][C]42[/C][C]125.29[/C][C]126.037330163208[/C][C]-1.52509748305060[/C][C]126.067767319843[/C][C]0.747330163207522[/C][/ROW]
[ROW][C]43[/C][C]119.02[/C][C]118.918078631605[/C][C]-7.71943650012788[/C][C]126.841357868523[/C][C]-0.101921368395423[/C][/ROW]
[ROW][C]44[/C][C]119.96[/C][C]115.959921852565[/C][C]-4.20978257221519[/C][C]128.16986071965[/C][C]-4.00007814743475[/C][/ROW]
[ROW][C]45[/C][C]122.86[/C][C]117.973766580516[/C][C]-1.75213015129263[/C][C]129.498363570777[/C][C]-4.88623341948391[/C][/ROW]
[ROW][C]46[/C][C]131.89[/C][C]127.206573948357[/C][C]5.72707326460173[/C][C]130.846352787041[/C][C]-4.68342605164267[/C][/ROW]
[ROW][C]47[/C][C]132.73[/C][C]131.711379247190[/C][C]1.55427874950482[/C][C]132.194342003305[/C][C]-1.01862075281016[/C][/ROW]
[ROW][C]48[/C][C]135.01[/C][C]138.194081434020[/C][C]-1.29259843532114[/C][C]133.118517001301[/C][C]3.1840814340203[/C][/ROW]
[ROW][C]49[/C][C]136.71[/C][C]143.969108599682[/C][C]-4.5918005989784[/C][C]134.042691999296[/C][C]7.2591085996821[/C][/ROW]
[ROW][C]50[/C][C]142.73[/C][C]150.442934668644[/C][C]0.138482229739662[/C][C]134.878583101616[/C][C]7.71293466864418[/C][/ROW]
[ROW][C]51[/C][C]144.43[/C][C]148.644759539072[/C][C]4.50076625699235[/C][C]135.714474203936[/C][C]4.21475953907168[/C][/ROW]
[ROW][C]52[/C][C]144.93[/C][C]146.713340993749[/C][C]6.49900336878182[/C][C]136.647655637469[/C][C]1.78334099374891[/C][/ROW]
[ROW][C]53[/C][C]138.75[/C][C]137.247921947839[/C][C]2.67124098115847[/C][C]137.580837071003[/C][C]-1.50207805216104[/C][/ROW]
[ROW][C]54[/C][C]130.22[/C][C]123.495875217497[/C][C]-1.52509748305060[/C][C]138.469222265553[/C][C]-6.7241247825028[/C][/ROW]
[ROW][C]55[/C][C]122.19[/C][C]112.741829040024[/C][C]-7.71943650012788[/C][C]139.357607460104[/C][C]-9.44817095997632[/C][/ROW]
[ROW][C]56[/C][C]128.4[/C][C]120.846209507489[/C][C]-4.20978257221519[/C][C]140.163573064726[/C][C]-7.55379049251053[/C][/ROW]
[ROW][C]57[/C][C]140.43[/C][C]141.642591481945[/C][C]-1.75213015129263[/C][C]140.969538669347[/C][C]1.21259148194540[/C][/ROW]
[ROW][C]58[/C][C]153.5[/C][C]159.469716500382[/C][C]5.72707326460173[/C][C]141.803210235016[/C][C]5.96971650038182[/C][/ROW]
[ROW][C]59[/C][C]149.33[/C][C]154.468839449810[/C][C]1.55427874950482[/C][C]142.636881800686[/C][C]5.13883944980952[/C][/ROW]
[ROW][C]60[/C][C]142.97[/C][C]143.699372329758[/C][C]-1.29259843532114[/C][C]143.533226105563[/C][C]0.72937232975849[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64112&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64112&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
1126.51123.838897343835-4.5918005989784133.772903255143-2.67110265616452
2131.02129.3086880779180.138482229739662132.592829692342-1.71131192208190
3136.51137.1064776134664.50076625699235131.4127561295420.596477613466021
4138.04139.3494048325386.49900336878182130.2315917986801.30940483253787
5132.92134.1183315510222.67124098115847129.0504274678191.19833155102251
6129.61132.826406712296-1.52509748305060127.9186907707553.21640671229549
7122.96126.852482426437-7.71943650012788126.7869540736913.89248242643669
8124.04126.555044457224-4.20978257221519125.7347381149912.51504445722391
9121.29119.649607995001-1.75213015129263124.682522156291-1.64039200499874
10124.56119.5364718086285.72707326460173123.856454926770-5.02352819137209
11118.53112.4753335532461.55427874950482123.030387697249-6.05466644675418
12113.14104.515928357071-1.29259843532114123.056670078250-8.6240716429291
13114.15109.808848139727-4.5918005989784123.082952459251-4.34115186027273
14122.17120.0272998036030.138482229739662124.174217966657-2.14270019639709
15129.23128.6937502689444.50076625699235125.265483474064-0.53624973105606
16131.19128.8365601710726.49900336878182127.044436460146-2.35343982892822
17129.12126.7453695726122.67124098115847128.823389446229-2.37463042738753
18128.28127.735098199716-1.52509748305060130.349999283335-0.544901800283981
19126.83129.502827379688-7.71943650012788131.876609120442.67282737968785
20138.13147.790655660336-4.20978257221519132.6791269118799.66065566033603
21140.52149.310485447974-1.75213015129263133.4816447033188.7904854479743
22146.83154.2499197238175.72707326460173133.6830070115827.41991972381663
23135.14134.8413519306501.55427874950482133.884369319845-0.298648069349781
24131.84131.520839315356-1.29259843532114133.451759119965-0.319160684643975
25125.7122.972651678893-4.5918005989784133.019148920085-2.72734832110692
26128.98125.9309569467430.138482229739662131.890560823517-3.04904305325715
27133.25131.2372610160584.50076625699235130.761972726950-2.01273898394203
28136.76137.4521932617486.49900336878182129.568803369470.692193261748059
29133.24135.4331250068512.67124098115847128.3756340119912.19312500685101
30128.54130.943318536748-1.52509748305060127.6617789463032.40331853674766
31121.08122.931512619513-7.71943650012788126.9479238806151.85151261951258
32120.23118.241497062424-4.20978257221519126.428285509791-1.98850293757611
33119.08114.003483012325-1.75213015129263125.908647138967-5.07651698767468
34125.75120.3602733537695.72707326460173125.412653381629-5.38972664623063
35126.89127.3090616262051.55427874950482124.9166596242910.41906162620468
36126.6129.815414265316-1.29259843532114124.6771841700053.21541426531593
37121.89123.934091883258-4.5918005989784124.437708715722.04409188325849
38123.44122.2124522074830.138482229739662124.529065562777-1.22754779251665
39126.46123.7988113331744.50076625699235124.620422409834-2.66118866682640
40129.49127.5236970407206.49900336878182124.957299590498-1.96630295928028
41127.78127.5945822476792.67124098115847125.294176771163-0.185417752321342
42125.29126.037330163208-1.52509748305060126.0677673198430.747330163207522
43119.02118.918078631605-7.71943650012788126.841357868523-0.101921368395423
44119.96115.959921852565-4.20978257221519128.16986071965-4.00007814743475
45122.86117.973766580516-1.75213015129263129.498363570777-4.88623341948391
46131.89127.2065739483575.72707326460173130.846352787041-4.68342605164267
47132.73131.7113792471901.55427874950482132.194342003305-1.01862075281016
48135.01138.194081434020-1.29259843532114133.1185170013013.1840814340203
49136.71143.969108599682-4.5918005989784134.0426919992967.2591085996821
50142.73150.4429346686440.138482229739662134.8785831016167.71293466864418
51144.43148.6447595390724.50076625699235135.7144742039364.21475953907168
52144.93146.7133409937496.49900336878182136.6476556374691.78334099374891
53138.75137.2479219478392.67124098115847137.580837071003-1.50207805216104
54130.22123.495875217497-1.52509748305060138.469222265553-6.7241247825028
55122.19112.741829040024-7.71943650012788139.357607460104-9.44817095997632
56128.4120.846209507489-4.20978257221519140.163573064726-7.55379049251053
57140.43141.642591481945-1.75213015129263140.9695386693471.21259148194540
58153.5159.4697165003825.72707326460173141.8032102350165.96971650038182
59149.33154.4688394498101.55427874950482142.6368818006865.13883944980952
60142.97143.699372329758-1.29259843532114143.5332261055630.72937232975849



Parameters (Session):
par1 = FALSE ; par2 = 0.5 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
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')