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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 computationThu, 03 Dec 2009 10:47:18 -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/03/t1259862470cu7dubuj7eal3k4.htm/, Retrieved Thu, 25 Apr 2024 21:06:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62983, Retrieved Thu, 25 Apr 2024 21:06:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137
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] [] [2009-12-03 17:47:18] [0f1f1142419956a95ff6f880845f2408] [Current]
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Dataseries X:
115.47
103.34
102.60
100.69
105.67
123.61
113.08
106.46
123.38
109.87
95.74
123.06
123.39
120.28
115.33
110.4
114.49
132.03
123.16
118.82
128.32
112.24
104.53
132.57
122.52
131.8
124.55
120.96
122.6
145.52
118.57
134.25
136.7
121.37
111.63
134.42
137.65
137.86
119.77
130.69
128.28
147.45
128.42
136.9
143.95
135.64
122.48
136.83
153.04
142.71
123.46
144.37
146.15
147.61
158.51
147.4
165.05
154.64
126.2
157.36
154.15
123.21
113.07
110.45
113.57
122.44
114.93
111.85
126.04
121.34




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=62983&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=62983&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62983&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
Seasonal701071
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 701 & 0 & 71 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62983&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]701[/C][C]0[/C][C]71[/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=62983&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62983&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
Seasonal701071
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1115.47115.8652047763298.77837645620511106.2964187674660.395204776328768
2103.3498.93800649061690.695655618115951107.046337891267-4.40199350938315
3102.6107.024159366695-9.62041638176302107.7962570150684.42415936669472
4100.6999.5119544325065-6.69645338462163108.564498952115-1.17804556749346
5105.67106.709755554822-4.7024964439838109.3327408891621.03975555482194
6123.61127.1161434821419.96121327017837110.1426432476803.50614348214113
7113.08115.564206387636-0.356751993834973110.9525456061992.48420638763585
8106.46101.397150898454-0.275219629083338111.798068730630-5.06284910154628
9123.38122.85177469165611.2646334532842112.643591855060-0.528225308344275
10109.87106.0352893184520.219200839935199113.485509841613-3.83471068154770
1195.7494.1065937823406-16.9540216105055114.327427828165-1.63340621765943
12123.06123.1883577961867.68628442490115115.2453577789130.128357796185682
13123.39121.8383358141348.77837645620511116.163287729661-1.55166418586649
14120.28122.8855248015680.695655618115951116.9788195803172.60552480156753
15115.33122.486064950791-9.62041638176302117.7943514309727.15606495079136
16110.4109.143428308907-6.69645338462163118.353025075715-1.256571691093
17114.49114.770797723526-4.7024964439838118.9116987204580.280797723526177
18132.03134.8427581029549.96121327017837119.2560286268682.81275810295401
19123.16127.076393460557-0.356751993834973119.6003585332783.91639346055734
20118.82117.810505555572-0.275219629083338120.104714073511-1.00949444442813
21128.32124.76629693297111.2646334532842120.609069613745-3.55370306702947
22112.24102.9093403365160.219200839935199121.351458823549-9.33065966348427
23104.53103.920173577153-16.9540216105055122.093848033353-0.609826422847334
24132.57134.5056570462087.68628442490115122.9480585288911.93565704620785
25122.52112.4593545193668.77837645620511123.802269024429-10.0606454806342
26131.8138.2486259519440.695655618115951124.6557184299406.4486259519444
27124.55133.211248546313-9.62041638176302125.5091678354508.66124854631278
28120.96122.392468372239-6.69645338462163126.2239850123821.43246837223940
29122.6122.963694254670-4.7024964439838126.9388021893140.363694254669554
30145.52153.7224743091789.96121327017837127.3563124206438.20247430917834
31118.57109.722929341863-0.356751993834973127.773822651972-8.84707065813735
32134.25140.700486794112-0.275219629083338128.0747328349726.45048679411181
33136.7133.75972352874511.2646334532842128.375643017971-2.94027647125489
34121.37113.7706035965850.219200839935199128.75019556348-7.59939640341516
35111.63111.089273501516-16.9540216105055129.124748108989-0.540726498483764
36134.42131.4605154496347.68628442490115129.693200125465-2.95948455036601
37137.65136.2599714018558.77837645620511130.261652141940-1.39002859814551
38137.86144.0644789925120.695655618115951130.9598653893726.20447899251224
39119.77117.502337744960-9.62041638176302131.658078636803-2.26766225504022
40130.69135.670606075667-6.69645338462163132.4058473089554.98060607566663
41128.28128.108880462877-4.7024964439838133.153615981107-0.171119537122991
42147.45151.1293259935229.96121327017837133.8094607362993.67932599352216
43128.42122.731446502343-0.356751993834973134.465305491492-5.68855349765718
44136.9139.020072639487-0.275219629083338135.0551469895962.12007263948735
45143.95140.99037805901611.2646334532842135.644988487700-2.95962194098402
46135.64134.5683314456390.219200839935199136.492467714426-1.07166855436088
47122.48124.574074669354-16.9540216105055137.3399469411512.09407466935403
48136.83127.4306153243457.68628442490115138.543100250754-9.3993846756554
49153.04157.5553699834388.77837645620511139.7462535603574.51536998343784
50142.71143.4900940140330.695655618115951141.2342503678510.78009401403321
51123.46113.818169206418-9.62041638176302142.722247175345-9.64183079358168
52144.37151.335215545063-6.69645338462163144.1012378395596.96521554506273
53146.15151.522267940211-4.7024964439838145.4802285037735.37226794021069
54147.61139.0029670439369.96121327017837146.255819685886-8.60703295606422
55158.51170.345341125836-0.356751993834973147.03141086799911.8353411258364
56147.4148.664611236464-0.275219629083338146.4106083926201.26461123646365
57165.05173.04556062947511.2646334532842145.7898059172417.99556062947508
58154.64165.3640412500330.219200839935199143.69675791003210.7240412500329
59126.2127.750311707683-16.9540216105055141.6037099028231.55031170768251
60157.36168.529191406457.68628442490115138.50452416864911.1691914064501
61154.15164.1162851093208.77837645620511135.4053384344749.9662851093204
62123.21113.5110799062040.695655618115951132.213264475680-9.69892009379636
63113.07106.739225864877-9.62041638176302129.021190516886-6.3307741351233
64110.45101.596308940922-6.69645338462163126.0001444437-8.85369105907829
65113.57108.863398073470-4.7024964439838122.979098370514-4.70660192652971
66122.44114.9730111533589.96121327017837119.945775576464-7.46698884664235
67114.93113.304299211421-0.356751993834973116.912452782414-1.62570078857946
68111.85110.011077567541-0.275219629083338113.964142061543-1.83892243245919
69126.04129.79953520604511.2646334532842111.0158313406713.75953520604524
70121.34134.2711283091540.219200839935199108.18967085091112.9311283091541

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 115.47 & 115.865204776329 & 8.77837645620511 & 106.296418767466 & 0.395204776328768 \tabularnewline
2 & 103.34 & 98.9380064906169 & 0.695655618115951 & 107.046337891267 & -4.40199350938315 \tabularnewline
3 & 102.6 & 107.024159366695 & -9.62041638176302 & 107.796257015068 & 4.42415936669472 \tabularnewline
4 & 100.69 & 99.5119544325065 & -6.69645338462163 & 108.564498952115 & -1.17804556749346 \tabularnewline
5 & 105.67 & 106.709755554822 & -4.7024964439838 & 109.332740889162 & 1.03975555482194 \tabularnewline
6 & 123.61 & 127.116143482141 & 9.96121327017837 & 110.142643247680 & 3.50614348214113 \tabularnewline
7 & 113.08 & 115.564206387636 & -0.356751993834973 & 110.952545606199 & 2.48420638763585 \tabularnewline
8 & 106.46 & 101.397150898454 & -0.275219629083338 & 111.798068730630 & -5.06284910154628 \tabularnewline
9 & 123.38 & 122.851774691656 & 11.2646334532842 & 112.643591855060 & -0.528225308344275 \tabularnewline
10 & 109.87 & 106.035289318452 & 0.219200839935199 & 113.485509841613 & -3.83471068154770 \tabularnewline
11 & 95.74 & 94.1065937823406 & -16.9540216105055 & 114.327427828165 & -1.63340621765943 \tabularnewline
12 & 123.06 & 123.188357796186 & 7.68628442490115 & 115.245357778913 & 0.128357796185682 \tabularnewline
13 & 123.39 & 121.838335814134 & 8.77837645620511 & 116.163287729661 & -1.55166418586649 \tabularnewline
14 & 120.28 & 122.885524801568 & 0.695655618115951 & 116.978819580317 & 2.60552480156753 \tabularnewline
15 & 115.33 & 122.486064950791 & -9.62041638176302 & 117.794351430972 & 7.15606495079136 \tabularnewline
16 & 110.4 & 109.143428308907 & -6.69645338462163 & 118.353025075715 & -1.256571691093 \tabularnewline
17 & 114.49 & 114.770797723526 & -4.7024964439838 & 118.911698720458 & 0.280797723526177 \tabularnewline
18 & 132.03 & 134.842758102954 & 9.96121327017837 & 119.256028626868 & 2.81275810295401 \tabularnewline
19 & 123.16 & 127.076393460557 & -0.356751993834973 & 119.600358533278 & 3.91639346055734 \tabularnewline
20 & 118.82 & 117.810505555572 & -0.275219629083338 & 120.104714073511 & -1.00949444442813 \tabularnewline
21 & 128.32 & 124.766296932971 & 11.2646334532842 & 120.609069613745 & -3.55370306702947 \tabularnewline
22 & 112.24 & 102.909340336516 & 0.219200839935199 & 121.351458823549 & -9.33065966348427 \tabularnewline
23 & 104.53 & 103.920173577153 & -16.9540216105055 & 122.093848033353 & -0.609826422847334 \tabularnewline
24 & 132.57 & 134.505657046208 & 7.68628442490115 & 122.948058528891 & 1.93565704620785 \tabularnewline
25 & 122.52 & 112.459354519366 & 8.77837645620511 & 123.802269024429 & -10.0606454806342 \tabularnewline
26 & 131.8 & 138.248625951944 & 0.695655618115951 & 124.655718429940 & 6.4486259519444 \tabularnewline
27 & 124.55 & 133.211248546313 & -9.62041638176302 & 125.509167835450 & 8.66124854631278 \tabularnewline
28 & 120.96 & 122.392468372239 & -6.69645338462163 & 126.223985012382 & 1.43246837223940 \tabularnewline
29 & 122.6 & 122.963694254670 & -4.7024964439838 & 126.938802189314 & 0.363694254669554 \tabularnewline
30 & 145.52 & 153.722474309178 & 9.96121327017837 & 127.356312420643 & 8.20247430917834 \tabularnewline
31 & 118.57 & 109.722929341863 & -0.356751993834973 & 127.773822651972 & -8.84707065813735 \tabularnewline
32 & 134.25 & 140.700486794112 & -0.275219629083338 & 128.074732834972 & 6.45048679411181 \tabularnewline
33 & 136.7 & 133.759723528745 & 11.2646334532842 & 128.375643017971 & -2.94027647125489 \tabularnewline
34 & 121.37 & 113.770603596585 & 0.219200839935199 & 128.75019556348 & -7.59939640341516 \tabularnewline
35 & 111.63 & 111.089273501516 & -16.9540216105055 & 129.124748108989 & -0.540726498483764 \tabularnewline
36 & 134.42 & 131.460515449634 & 7.68628442490115 & 129.693200125465 & -2.95948455036601 \tabularnewline
37 & 137.65 & 136.259971401855 & 8.77837645620511 & 130.261652141940 & -1.39002859814551 \tabularnewline
38 & 137.86 & 144.064478992512 & 0.695655618115951 & 130.959865389372 & 6.20447899251224 \tabularnewline
39 & 119.77 & 117.502337744960 & -9.62041638176302 & 131.658078636803 & -2.26766225504022 \tabularnewline
40 & 130.69 & 135.670606075667 & -6.69645338462163 & 132.405847308955 & 4.98060607566663 \tabularnewline
41 & 128.28 & 128.108880462877 & -4.7024964439838 & 133.153615981107 & -0.171119537122991 \tabularnewline
42 & 147.45 & 151.129325993522 & 9.96121327017837 & 133.809460736299 & 3.67932599352216 \tabularnewline
43 & 128.42 & 122.731446502343 & -0.356751993834973 & 134.465305491492 & -5.68855349765718 \tabularnewline
44 & 136.9 & 139.020072639487 & -0.275219629083338 & 135.055146989596 & 2.12007263948735 \tabularnewline
45 & 143.95 & 140.990378059016 & 11.2646334532842 & 135.644988487700 & -2.95962194098402 \tabularnewline
46 & 135.64 & 134.568331445639 & 0.219200839935199 & 136.492467714426 & -1.07166855436088 \tabularnewline
47 & 122.48 & 124.574074669354 & -16.9540216105055 & 137.339946941151 & 2.09407466935403 \tabularnewline
48 & 136.83 & 127.430615324345 & 7.68628442490115 & 138.543100250754 & -9.3993846756554 \tabularnewline
49 & 153.04 & 157.555369983438 & 8.77837645620511 & 139.746253560357 & 4.51536998343784 \tabularnewline
50 & 142.71 & 143.490094014033 & 0.695655618115951 & 141.234250367851 & 0.78009401403321 \tabularnewline
51 & 123.46 & 113.818169206418 & -9.62041638176302 & 142.722247175345 & -9.64183079358168 \tabularnewline
52 & 144.37 & 151.335215545063 & -6.69645338462163 & 144.101237839559 & 6.96521554506273 \tabularnewline
53 & 146.15 & 151.522267940211 & -4.7024964439838 & 145.480228503773 & 5.37226794021069 \tabularnewline
54 & 147.61 & 139.002967043936 & 9.96121327017837 & 146.255819685886 & -8.60703295606422 \tabularnewline
55 & 158.51 & 170.345341125836 & -0.356751993834973 & 147.031410867999 & 11.8353411258364 \tabularnewline
56 & 147.4 & 148.664611236464 & -0.275219629083338 & 146.410608392620 & 1.26461123646365 \tabularnewline
57 & 165.05 & 173.045560629475 & 11.2646334532842 & 145.789805917241 & 7.99556062947508 \tabularnewline
58 & 154.64 & 165.364041250033 & 0.219200839935199 & 143.696757910032 & 10.7240412500329 \tabularnewline
59 & 126.2 & 127.750311707683 & -16.9540216105055 & 141.603709902823 & 1.55031170768251 \tabularnewline
60 & 157.36 & 168.52919140645 & 7.68628442490115 & 138.504524168649 & 11.1691914064501 \tabularnewline
61 & 154.15 & 164.116285109320 & 8.77837645620511 & 135.405338434474 & 9.9662851093204 \tabularnewline
62 & 123.21 & 113.511079906204 & 0.695655618115951 & 132.213264475680 & -9.69892009379636 \tabularnewline
63 & 113.07 & 106.739225864877 & -9.62041638176302 & 129.021190516886 & -6.3307741351233 \tabularnewline
64 & 110.45 & 101.596308940922 & -6.69645338462163 & 126.0001444437 & -8.85369105907829 \tabularnewline
65 & 113.57 & 108.863398073470 & -4.7024964439838 & 122.979098370514 & -4.70660192652971 \tabularnewline
66 & 122.44 & 114.973011153358 & 9.96121327017837 & 119.945775576464 & -7.46698884664235 \tabularnewline
67 & 114.93 & 113.304299211421 & -0.356751993834973 & 116.912452782414 & -1.62570078857946 \tabularnewline
68 & 111.85 & 110.011077567541 & -0.275219629083338 & 113.964142061543 & -1.83892243245919 \tabularnewline
69 & 126.04 & 129.799535206045 & 11.2646334532842 & 111.015831340671 & 3.75953520604524 \tabularnewline
70 & 121.34 & 134.271128309154 & 0.219200839935199 & 108.189670850911 & 12.9311283091541 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62983&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]115.47[/C][C]115.865204776329[/C][C]8.77837645620511[/C][C]106.296418767466[/C][C]0.395204776328768[/C][/ROW]
[ROW][C]2[/C][C]103.34[/C][C]98.9380064906169[/C][C]0.695655618115951[/C][C]107.046337891267[/C][C]-4.40199350938315[/C][/ROW]
[ROW][C]3[/C][C]102.6[/C][C]107.024159366695[/C][C]-9.62041638176302[/C][C]107.796257015068[/C][C]4.42415936669472[/C][/ROW]
[ROW][C]4[/C][C]100.69[/C][C]99.5119544325065[/C][C]-6.69645338462163[/C][C]108.564498952115[/C][C]-1.17804556749346[/C][/ROW]
[ROW][C]5[/C][C]105.67[/C][C]106.709755554822[/C][C]-4.7024964439838[/C][C]109.332740889162[/C][C]1.03975555482194[/C][/ROW]
[ROW][C]6[/C][C]123.61[/C][C]127.116143482141[/C][C]9.96121327017837[/C][C]110.142643247680[/C][C]3.50614348214113[/C][/ROW]
[ROW][C]7[/C][C]113.08[/C][C]115.564206387636[/C][C]-0.356751993834973[/C][C]110.952545606199[/C][C]2.48420638763585[/C][/ROW]
[ROW][C]8[/C][C]106.46[/C][C]101.397150898454[/C][C]-0.275219629083338[/C][C]111.798068730630[/C][C]-5.06284910154628[/C][/ROW]
[ROW][C]9[/C][C]123.38[/C][C]122.851774691656[/C][C]11.2646334532842[/C][C]112.643591855060[/C][C]-0.528225308344275[/C][/ROW]
[ROW][C]10[/C][C]109.87[/C][C]106.035289318452[/C][C]0.219200839935199[/C][C]113.485509841613[/C][C]-3.83471068154770[/C][/ROW]
[ROW][C]11[/C][C]95.74[/C][C]94.1065937823406[/C][C]-16.9540216105055[/C][C]114.327427828165[/C][C]-1.63340621765943[/C][/ROW]
[ROW][C]12[/C][C]123.06[/C][C]123.188357796186[/C][C]7.68628442490115[/C][C]115.245357778913[/C][C]0.128357796185682[/C][/ROW]
[ROW][C]13[/C][C]123.39[/C][C]121.838335814134[/C][C]8.77837645620511[/C][C]116.163287729661[/C][C]-1.55166418586649[/C][/ROW]
[ROW][C]14[/C][C]120.28[/C][C]122.885524801568[/C][C]0.695655618115951[/C][C]116.978819580317[/C][C]2.60552480156753[/C][/ROW]
[ROW][C]15[/C][C]115.33[/C][C]122.486064950791[/C][C]-9.62041638176302[/C][C]117.794351430972[/C][C]7.15606495079136[/C][/ROW]
[ROW][C]16[/C][C]110.4[/C][C]109.143428308907[/C][C]-6.69645338462163[/C][C]118.353025075715[/C][C]-1.256571691093[/C][/ROW]
[ROW][C]17[/C][C]114.49[/C][C]114.770797723526[/C][C]-4.7024964439838[/C][C]118.911698720458[/C][C]0.280797723526177[/C][/ROW]
[ROW][C]18[/C][C]132.03[/C][C]134.842758102954[/C][C]9.96121327017837[/C][C]119.256028626868[/C][C]2.81275810295401[/C][/ROW]
[ROW][C]19[/C][C]123.16[/C][C]127.076393460557[/C][C]-0.356751993834973[/C][C]119.600358533278[/C][C]3.91639346055734[/C][/ROW]
[ROW][C]20[/C][C]118.82[/C][C]117.810505555572[/C][C]-0.275219629083338[/C][C]120.104714073511[/C][C]-1.00949444442813[/C][/ROW]
[ROW][C]21[/C][C]128.32[/C][C]124.766296932971[/C][C]11.2646334532842[/C][C]120.609069613745[/C][C]-3.55370306702947[/C][/ROW]
[ROW][C]22[/C][C]112.24[/C][C]102.909340336516[/C][C]0.219200839935199[/C][C]121.351458823549[/C][C]-9.33065966348427[/C][/ROW]
[ROW][C]23[/C][C]104.53[/C][C]103.920173577153[/C][C]-16.9540216105055[/C][C]122.093848033353[/C][C]-0.609826422847334[/C][/ROW]
[ROW][C]24[/C][C]132.57[/C][C]134.505657046208[/C][C]7.68628442490115[/C][C]122.948058528891[/C][C]1.93565704620785[/C][/ROW]
[ROW][C]25[/C][C]122.52[/C][C]112.459354519366[/C][C]8.77837645620511[/C][C]123.802269024429[/C][C]-10.0606454806342[/C][/ROW]
[ROW][C]26[/C][C]131.8[/C][C]138.248625951944[/C][C]0.695655618115951[/C][C]124.655718429940[/C][C]6.4486259519444[/C][/ROW]
[ROW][C]27[/C][C]124.55[/C][C]133.211248546313[/C][C]-9.62041638176302[/C][C]125.509167835450[/C][C]8.66124854631278[/C][/ROW]
[ROW][C]28[/C][C]120.96[/C][C]122.392468372239[/C][C]-6.69645338462163[/C][C]126.223985012382[/C][C]1.43246837223940[/C][/ROW]
[ROW][C]29[/C][C]122.6[/C][C]122.963694254670[/C][C]-4.7024964439838[/C][C]126.938802189314[/C][C]0.363694254669554[/C][/ROW]
[ROW][C]30[/C][C]145.52[/C][C]153.722474309178[/C][C]9.96121327017837[/C][C]127.356312420643[/C][C]8.20247430917834[/C][/ROW]
[ROW][C]31[/C][C]118.57[/C][C]109.722929341863[/C][C]-0.356751993834973[/C][C]127.773822651972[/C][C]-8.84707065813735[/C][/ROW]
[ROW][C]32[/C][C]134.25[/C][C]140.700486794112[/C][C]-0.275219629083338[/C][C]128.074732834972[/C][C]6.45048679411181[/C][/ROW]
[ROW][C]33[/C][C]136.7[/C][C]133.759723528745[/C][C]11.2646334532842[/C][C]128.375643017971[/C][C]-2.94027647125489[/C][/ROW]
[ROW][C]34[/C][C]121.37[/C][C]113.770603596585[/C][C]0.219200839935199[/C][C]128.75019556348[/C][C]-7.59939640341516[/C][/ROW]
[ROW][C]35[/C][C]111.63[/C][C]111.089273501516[/C][C]-16.9540216105055[/C][C]129.124748108989[/C][C]-0.540726498483764[/C][/ROW]
[ROW][C]36[/C][C]134.42[/C][C]131.460515449634[/C][C]7.68628442490115[/C][C]129.693200125465[/C][C]-2.95948455036601[/C][/ROW]
[ROW][C]37[/C][C]137.65[/C][C]136.259971401855[/C][C]8.77837645620511[/C][C]130.261652141940[/C][C]-1.39002859814551[/C][/ROW]
[ROW][C]38[/C][C]137.86[/C][C]144.064478992512[/C][C]0.695655618115951[/C][C]130.959865389372[/C][C]6.20447899251224[/C][/ROW]
[ROW][C]39[/C][C]119.77[/C][C]117.502337744960[/C][C]-9.62041638176302[/C][C]131.658078636803[/C][C]-2.26766225504022[/C][/ROW]
[ROW][C]40[/C][C]130.69[/C][C]135.670606075667[/C][C]-6.69645338462163[/C][C]132.405847308955[/C][C]4.98060607566663[/C][/ROW]
[ROW][C]41[/C][C]128.28[/C][C]128.108880462877[/C][C]-4.7024964439838[/C][C]133.153615981107[/C][C]-0.171119537122991[/C][/ROW]
[ROW][C]42[/C][C]147.45[/C][C]151.129325993522[/C][C]9.96121327017837[/C][C]133.809460736299[/C][C]3.67932599352216[/C][/ROW]
[ROW][C]43[/C][C]128.42[/C][C]122.731446502343[/C][C]-0.356751993834973[/C][C]134.465305491492[/C][C]-5.68855349765718[/C][/ROW]
[ROW][C]44[/C][C]136.9[/C][C]139.020072639487[/C][C]-0.275219629083338[/C][C]135.055146989596[/C][C]2.12007263948735[/C][/ROW]
[ROW][C]45[/C][C]143.95[/C][C]140.990378059016[/C][C]11.2646334532842[/C][C]135.644988487700[/C][C]-2.95962194098402[/C][/ROW]
[ROW][C]46[/C][C]135.64[/C][C]134.568331445639[/C][C]0.219200839935199[/C][C]136.492467714426[/C][C]-1.07166855436088[/C][/ROW]
[ROW][C]47[/C][C]122.48[/C][C]124.574074669354[/C][C]-16.9540216105055[/C][C]137.339946941151[/C][C]2.09407466935403[/C][/ROW]
[ROW][C]48[/C][C]136.83[/C][C]127.430615324345[/C][C]7.68628442490115[/C][C]138.543100250754[/C][C]-9.3993846756554[/C][/ROW]
[ROW][C]49[/C][C]153.04[/C][C]157.555369983438[/C][C]8.77837645620511[/C][C]139.746253560357[/C][C]4.51536998343784[/C][/ROW]
[ROW][C]50[/C][C]142.71[/C][C]143.490094014033[/C][C]0.695655618115951[/C][C]141.234250367851[/C][C]0.78009401403321[/C][/ROW]
[ROW][C]51[/C][C]123.46[/C][C]113.818169206418[/C][C]-9.62041638176302[/C][C]142.722247175345[/C][C]-9.64183079358168[/C][/ROW]
[ROW][C]52[/C][C]144.37[/C][C]151.335215545063[/C][C]-6.69645338462163[/C][C]144.101237839559[/C][C]6.96521554506273[/C][/ROW]
[ROW][C]53[/C][C]146.15[/C][C]151.522267940211[/C][C]-4.7024964439838[/C][C]145.480228503773[/C][C]5.37226794021069[/C][/ROW]
[ROW][C]54[/C][C]147.61[/C][C]139.002967043936[/C][C]9.96121327017837[/C][C]146.255819685886[/C][C]-8.60703295606422[/C][/ROW]
[ROW][C]55[/C][C]158.51[/C][C]170.345341125836[/C][C]-0.356751993834973[/C][C]147.031410867999[/C][C]11.8353411258364[/C][/ROW]
[ROW][C]56[/C][C]147.4[/C][C]148.664611236464[/C][C]-0.275219629083338[/C][C]146.410608392620[/C][C]1.26461123646365[/C][/ROW]
[ROW][C]57[/C][C]165.05[/C][C]173.045560629475[/C][C]11.2646334532842[/C][C]145.789805917241[/C][C]7.99556062947508[/C][/ROW]
[ROW][C]58[/C][C]154.64[/C][C]165.364041250033[/C][C]0.219200839935199[/C][C]143.696757910032[/C][C]10.7240412500329[/C][/ROW]
[ROW][C]59[/C][C]126.2[/C][C]127.750311707683[/C][C]-16.9540216105055[/C][C]141.603709902823[/C][C]1.55031170768251[/C][/ROW]
[ROW][C]60[/C][C]157.36[/C][C]168.52919140645[/C][C]7.68628442490115[/C][C]138.504524168649[/C][C]11.1691914064501[/C][/ROW]
[ROW][C]61[/C][C]154.15[/C][C]164.116285109320[/C][C]8.77837645620511[/C][C]135.405338434474[/C][C]9.9662851093204[/C][/ROW]
[ROW][C]62[/C][C]123.21[/C][C]113.511079906204[/C][C]0.695655618115951[/C][C]132.213264475680[/C][C]-9.69892009379636[/C][/ROW]
[ROW][C]63[/C][C]113.07[/C][C]106.739225864877[/C][C]-9.62041638176302[/C][C]129.021190516886[/C][C]-6.3307741351233[/C][/ROW]
[ROW][C]64[/C][C]110.45[/C][C]101.596308940922[/C][C]-6.69645338462163[/C][C]126.0001444437[/C][C]-8.85369105907829[/C][/ROW]
[ROW][C]65[/C][C]113.57[/C][C]108.863398073470[/C][C]-4.7024964439838[/C][C]122.979098370514[/C][C]-4.70660192652971[/C][/ROW]
[ROW][C]66[/C][C]122.44[/C][C]114.973011153358[/C][C]9.96121327017837[/C][C]119.945775576464[/C][C]-7.46698884664235[/C][/ROW]
[ROW][C]67[/C][C]114.93[/C][C]113.304299211421[/C][C]-0.356751993834973[/C][C]116.912452782414[/C][C]-1.62570078857946[/C][/ROW]
[ROW][C]68[/C][C]111.85[/C][C]110.011077567541[/C][C]-0.275219629083338[/C][C]113.964142061543[/C][C]-1.83892243245919[/C][/ROW]
[ROW][C]69[/C][C]126.04[/C][C]129.799535206045[/C][C]11.2646334532842[/C][C]111.015831340671[/C][C]3.75953520604524[/C][/ROW]
[ROW][C]70[/C][C]121.34[/C][C]134.271128309154[/C][C]0.219200839935199[/C][C]108.189670850911[/C][C]12.9311283091541[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62983&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62983&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
1115.47115.8652047763298.77837645620511106.2964187674660.395204776328768
2103.3498.93800649061690.695655618115951107.046337891267-4.40199350938315
3102.6107.024159366695-9.62041638176302107.7962570150684.42415936669472
4100.6999.5119544325065-6.69645338462163108.564498952115-1.17804556749346
5105.67106.709755554822-4.7024964439838109.3327408891621.03975555482194
6123.61127.1161434821419.96121327017837110.1426432476803.50614348214113
7113.08115.564206387636-0.356751993834973110.9525456061992.48420638763585
8106.46101.397150898454-0.275219629083338111.798068730630-5.06284910154628
9123.38122.85177469165611.2646334532842112.643591855060-0.528225308344275
10109.87106.0352893184520.219200839935199113.485509841613-3.83471068154770
1195.7494.1065937823406-16.9540216105055114.327427828165-1.63340621765943
12123.06123.1883577961867.68628442490115115.2453577789130.128357796185682
13123.39121.8383358141348.77837645620511116.163287729661-1.55166418586649
14120.28122.8855248015680.695655618115951116.9788195803172.60552480156753
15115.33122.486064950791-9.62041638176302117.7943514309727.15606495079136
16110.4109.143428308907-6.69645338462163118.353025075715-1.256571691093
17114.49114.770797723526-4.7024964439838118.9116987204580.280797723526177
18132.03134.8427581029549.96121327017837119.2560286268682.81275810295401
19123.16127.076393460557-0.356751993834973119.6003585332783.91639346055734
20118.82117.810505555572-0.275219629083338120.104714073511-1.00949444442813
21128.32124.76629693297111.2646334532842120.609069613745-3.55370306702947
22112.24102.9093403365160.219200839935199121.351458823549-9.33065966348427
23104.53103.920173577153-16.9540216105055122.093848033353-0.609826422847334
24132.57134.5056570462087.68628442490115122.9480585288911.93565704620785
25122.52112.4593545193668.77837645620511123.802269024429-10.0606454806342
26131.8138.2486259519440.695655618115951124.6557184299406.4486259519444
27124.55133.211248546313-9.62041638176302125.5091678354508.66124854631278
28120.96122.392468372239-6.69645338462163126.2239850123821.43246837223940
29122.6122.963694254670-4.7024964439838126.9388021893140.363694254669554
30145.52153.7224743091789.96121327017837127.3563124206438.20247430917834
31118.57109.722929341863-0.356751993834973127.773822651972-8.84707065813735
32134.25140.700486794112-0.275219629083338128.0747328349726.45048679411181
33136.7133.75972352874511.2646334532842128.375643017971-2.94027647125489
34121.37113.7706035965850.219200839935199128.75019556348-7.59939640341516
35111.63111.089273501516-16.9540216105055129.124748108989-0.540726498483764
36134.42131.4605154496347.68628442490115129.693200125465-2.95948455036601
37137.65136.2599714018558.77837645620511130.261652141940-1.39002859814551
38137.86144.0644789925120.695655618115951130.9598653893726.20447899251224
39119.77117.502337744960-9.62041638176302131.658078636803-2.26766225504022
40130.69135.670606075667-6.69645338462163132.4058473089554.98060607566663
41128.28128.108880462877-4.7024964439838133.153615981107-0.171119537122991
42147.45151.1293259935229.96121327017837133.8094607362993.67932599352216
43128.42122.731446502343-0.356751993834973134.465305491492-5.68855349765718
44136.9139.020072639487-0.275219629083338135.0551469895962.12007263948735
45143.95140.99037805901611.2646334532842135.644988487700-2.95962194098402
46135.64134.5683314456390.219200839935199136.492467714426-1.07166855436088
47122.48124.574074669354-16.9540216105055137.3399469411512.09407466935403
48136.83127.4306153243457.68628442490115138.543100250754-9.3993846756554
49153.04157.5553699834388.77837645620511139.7462535603574.51536998343784
50142.71143.4900940140330.695655618115951141.2342503678510.78009401403321
51123.46113.818169206418-9.62041638176302142.722247175345-9.64183079358168
52144.37151.335215545063-6.69645338462163144.1012378395596.96521554506273
53146.15151.522267940211-4.7024964439838145.4802285037735.37226794021069
54147.61139.0029670439369.96121327017837146.255819685886-8.60703295606422
55158.51170.345341125836-0.356751993834973147.03141086799911.8353411258364
56147.4148.664611236464-0.275219629083338146.4106083926201.26461123646365
57165.05173.04556062947511.2646334532842145.7898059172417.99556062947508
58154.64165.3640412500330.219200839935199143.69675791003210.7240412500329
59126.2127.750311707683-16.9540216105055141.6037099028231.55031170768251
60157.36168.529191406457.68628442490115138.50452416864911.1691914064501
61154.15164.1162851093208.77837645620511135.4053384344749.9662851093204
62123.21113.5110799062040.695655618115951132.213264475680-9.69892009379636
63113.07106.739225864877-9.62041638176302129.021190516886-6.3307741351233
64110.45101.596308940922-6.69645338462163126.0001444437-8.85369105907829
65113.57108.863398073470-4.7024964439838122.979098370514-4.70660192652971
66122.44114.9730111533589.96121327017837119.945775576464-7.46698884664235
67114.93113.304299211421-0.356751993834973116.912452782414-1.62570078857946
68111.85110.011077567541-0.275219629083338113.964142061543-1.83892243245919
69126.04129.79953520604511.2646334532842111.0158313406713.75953520604524
70121.34134.2711283091540.219200839935199108.18967085091112.9311283091541



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 1 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 1 ; 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')