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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 computationMon, 12 Nov 2012 10:55:08 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/12/t1352735731by2yqxkf0nga1u6.htm/, Retrieved Sun, 28 Apr 2024 23:31:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=188060, Retrieved Sun, 28 Apr 2024 23:31:55 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [ws8LOESS] [2012-11-12 15:55:08] [081b45eff66f9ee50ac0b17603ac2bbc] [Current]
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Dataseries X:
17.75694444
-10.5625
-10.40277778
-24.45138889
7.798611111
56.28472222
2.743055556
-26.97222222
-5.948611111
-13.34861111
5.718055556
-13.86527778
53.75694444
3.3125
30.80555556
-3.409722222
-22.11805556
-38.67361111
-5.215277778
7.194444444
-0.781944444
16.06805556
-14.44861111
27.13472222
3.715277778
3.854166667
-5.944444444
2.881944444
-17.57638889
-7.215277778
-5.965277778
-4.847222222
-11.49027778
-5.806944444
1.176388889
22.38472222
-27.86805556
26.3125
-5.777777778
6.840277778
3.298611111
0.659722222
29.03472222
22.52777778
18.55138889
8.193055556
2.968055556
-25.07361111
-30.65972222
-19.5625
-3.069444444
6.381944444
20.92361111
4.951388889
-18.67361111
2.444444444
1.718055556
-3.056944444
6.634722222
-8.531944444
-14.24305556
-0.895833333
-3.152777778
14.21527778
10.13194444
-13.54861111
0.534722222
2.111111111




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188060&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=188060&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188060&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal681069
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 681 & 0 & 69 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188060&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]681[/C][C]0[/C][C]69[/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=188060&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188060&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
Seasonal681069
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
117.7569444435.98297836894060.208335217002153-0.67742470594273518.2260339289406
2-10.5625-21.00070583924850.186708438043859-0.311002598795385-10.4382058392485
3-10.40277778-21.02603385889020.165058790538230.0554195083519647-10.6232560788902
4-24.45138889-49.35883208581670.007882529485118250.44817177633155-24.9074431958167
57.79861111114.9056097486944-0.1493115710055250.8409240443111367.10699863769439
656.28472222111.318127120721-0.1360673956298921.3873847149090955.0334049007208
72.7430555563.675060744256-0.1227950177630521.933845385507050.932005188256005
8-26.97222222-56.6475872054788-0.07854015570796792.78168292118678-29.6753649854788
9-5.948611111-15.60205633541730.07531365655081373.62952045686652-9.65344522441734
10-13.34861111-30.629105465718-0.01709120445585943.94897445017389-17.280494355718
115.7180555567.27718967091055-0.1095070023918124.268428443481261.55913411491055
12-13.86527778-30.4882307233385-0.02997926952240972.78765443286095-16.6229529433385
1353.75694444105.9986732407570.2083352170021531.3068804222406452.2417288007572
143.31255.451574682697250.1867084380438590.9867168792588882.13907468269725
1530.8055555660.77949899318460.165058790538230.66655333627713629.9739434331846
16-3.409722222-7.666971789803640.007882529485118250.839644816318526-4.25724956780364
17-22.11805556-45.0995358453544-0.1493115710055251.01273629635992-22.9814802853544
18-38.67361111-77.7639770926369-0.1360673956298920.552822268266829-39.0903659826369
19-5.215277778-10.4006687784107-0.1227950177630520.0929082401737404-5.18539100041069
207.19444444414.9024668111835-0.0785401557079679-0.4350377674755437.70802236718351
21-0.781944444-0.6762187694259880.0753136565508137-0.9629837751248260.105725674574012
2216.0680555632.7477009327683-0.0170912044558594-0.5944986083124716.6796453727683
23-14.44861111-28.5617017761081-0.109507002391812-0.226013441500115-14.1130906661081
2427.1347222254.1019780084654-0.02997926952240970.19744570105699926.9672557884654
253.7152777786.601315495383730.2083352170021530.6209048436141122.88603771738373
263.8541666677.605730678117140.186708438043859-0.08410578216100333.75156401111714
27-5.944444444-11.26483127060210.16505879053823-0.789116407936119-5.32038682660211
282.8819444447.48124431223650.00788252948511825-1.725237953721624.5992998682365
29-17.57638889-32.3421067094874-0.149311571005525-2.66135949950712-14.7657178194874
30-7.215277778-11.1247590335399-0.136067395629892-3.16972912683021-3.9094812555399
31-5.965277778-8.12966178408365-0.122795017763052-3.6780987541533-2.16438400608365
32-4.847222222-6.17820623260382-0.0785401557079679-3.43769805568821-1.33098401060382
33-11.49027778-19.85857185932770.0753136565508137-3.19729735722312-8.36829407932769
34-5.806944444-9.31437438712389-0.0170912044558594-2.28242329642025-3.5074299431239
351.1763888893.82983401600918-0.109507002391812-1.367549235617372.65344512700918
3622.3847222244.5841864758618-0.02997926952240970.21523723366061322.1994642558618
37-27.86805556-57.74247003994070.2083352170021531.79802370293859-29.8744144799407
3826.312548.69244334020620.1867084380438593.7458482217499422.3799433402062
39-5.777777778-17.41428708709950.165058790538235.69367274056128-11.6365093090995
406.8402777786.842379107327440.007882529485118256.830293919187440.00210132932744145
413.298611111-1.22038130480807-0.1493115710055257.9669150978136-4.51899241580807
420.659722222-5.66530792473864-0.1360673956298927.12081976436853-6.32503014673864
4329.0347222251.9175150268396-0.1227950177630526.2747244309234622.8827928068396
4422.5277777840.4613924259354-0.07854015570796794.6727032897725317.9336146459354
4518.5513888933.95678197482760.07531365655081373.0706821486216115.4053930848276
468.19305555614.3733873404795-0.01709120445585942.029814975976346.18033178447952
472.9680555565.05667031106075-0.1095070023918120.9889478033310652.08861475506075
48-25.07361111-50.0110846205572-0.0299792695224097-0.106158329920365-24.9374735105572
49-30.65972222-60.32651519383040.208335217002153-1.2012644631718-29.6667929738304
50-19.5625-36.85655038000210.186708438043859-2.45515805804174-17.2940503800021
51-3.069444444-2.594896025626540.16505879053823-3.709051652911690.47454841837346
526.38194444416.46568597379920.00788252948511825-3.7096796152843410.0837415297992
5320.9236111145.7068413686625-0.149311571005525-3.7103075776569924.7832302586625
544.95138888912.8109478634504-0.136067395629892-2.77210268982057.85955897445039
55-18.67361111-35.3905294002529-0.122795017763052-1.833897801984-16.7169182902529
562.4444444446.31435645947021-0.0785401557079679-1.346927415762243.86991201547021
571.7180555564.220754484989670.0753136565508137-0.8599570295404812.50269892898967
58-3.056944444-5.10665862964151-0.0170912044558594-0.99013905390263-2.04971418564151
596.63472222214.4992725246566-0.109507002391812-1.120321078264787.86455030265659
60-8.531944444-16.0794621062397-0.0299792695224097-0.954447512237937-7.54751766223965
61-14.24305556-27.90587239079110.208335217002153-0.788573946211096-13.6628168307911
62-0.895833333-1.311028856684430.186708438043859-0.667346247359429-0.41519552368443
63-3.152777778-5.924495798030470.16505879053823-0.546118548507761-2.77171802003047
6414.2152777828.75727869243630.00788252948511825-0.33460566192140514.5420009124363
6510.1319444420.5362932263406-0.149311571005525-0.12309277533504810.4043487863406
66-13.54861111-27.1220871215419-0.1360673956298920.160932297171787-13.5734760115419
670.5347222220.747282092084429-0.1227950177630520.4449573696786230.212559870084429
682.1111111113.55218057326417-0.07854015570796790.7485818044438011.44106946226417

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 17.75694444 & 35.9829783689406 & 0.208335217002153 & -0.677424705942735 & 18.2260339289406 \tabularnewline
2 & -10.5625 & -21.0007058392485 & 0.186708438043859 & -0.311002598795385 & -10.4382058392485 \tabularnewline
3 & -10.40277778 & -21.0260338588902 & 0.16505879053823 & 0.0554195083519647 & -10.6232560788902 \tabularnewline
4 & -24.45138889 & -49.3588320858167 & 0.00788252948511825 & 0.44817177633155 & -24.9074431958167 \tabularnewline
5 & 7.798611111 & 14.9056097486944 & -0.149311571005525 & 0.840924044311136 & 7.10699863769439 \tabularnewline
6 & 56.28472222 & 111.318127120721 & -0.136067395629892 & 1.38738471490909 & 55.0334049007208 \tabularnewline
7 & 2.743055556 & 3.675060744256 & -0.122795017763052 & 1.93384538550705 & 0.932005188256005 \tabularnewline
8 & -26.97222222 & -56.6475872054788 & -0.0785401557079679 & 2.78168292118678 & -29.6753649854788 \tabularnewline
9 & -5.948611111 & -15.6020563354173 & 0.0753136565508137 & 3.62952045686652 & -9.65344522441734 \tabularnewline
10 & -13.34861111 & -30.629105465718 & -0.0170912044558594 & 3.94897445017389 & -17.280494355718 \tabularnewline
11 & 5.718055556 & 7.27718967091055 & -0.109507002391812 & 4.26842844348126 & 1.55913411491055 \tabularnewline
12 & -13.86527778 & -30.4882307233385 & -0.0299792695224097 & 2.78765443286095 & -16.6229529433385 \tabularnewline
13 & 53.75694444 & 105.998673240757 & 0.208335217002153 & 1.30688042224064 & 52.2417288007572 \tabularnewline
14 & 3.3125 & 5.45157468269725 & 0.186708438043859 & 0.986716879258888 & 2.13907468269725 \tabularnewline
15 & 30.80555556 & 60.7794989931846 & 0.16505879053823 & 0.666553336277136 & 29.9739434331846 \tabularnewline
16 & -3.409722222 & -7.66697178980364 & 0.00788252948511825 & 0.839644816318526 & -4.25724956780364 \tabularnewline
17 & -22.11805556 & -45.0995358453544 & -0.149311571005525 & 1.01273629635992 & -22.9814802853544 \tabularnewline
18 & -38.67361111 & -77.7639770926369 & -0.136067395629892 & 0.552822268266829 & -39.0903659826369 \tabularnewline
19 & -5.215277778 & -10.4006687784107 & -0.122795017763052 & 0.0929082401737404 & -5.18539100041069 \tabularnewline
20 & 7.194444444 & 14.9024668111835 & -0.0785401557079679 & -0.435037767475543 & 7.70802236718351 \tabularnewline
21 & -0.781944444 & -0.676218769425988 & 0.0753136565508137 & -0.962983775124826 & 0.105725674574012 \tabularnewline
22 & 16.06805556 & 32.7477009327683 & -0.0170912044558594 & -0.59449860831247 & 16.6796453727683 \tabularnewline
23 & -14.44861111 & -28.5617017761081 & -0.109507002391812 & -0.226013441500115 & -14.1130906661081 \tabularnewline
24 & 27.13472222 & 54.1019780084654 & -0.0299792695224097 & 0.197445701056999 & 26.9672557884654 \tabularnewline
25 & 3.715277778 & 6.60131549538373 & 0.208335217002153 & 0.620904843614112 & 2.88603771738373 \tabularnewline
26 & 3.854166667 & 7.60573067811714 & 0.186708438043859 & -0.0841057821610033 & 3.75156401111714 \tabularnewline
27 & -5.944444444 & -11.2648312706021 & 0.16505879053823 & -0.789116407936119 & -5.32038682660211 \tabularnewline
28 & 2.881944444 & 7.4812443122365 & 0.00788252948511825 & -1.72523795372162 & 4.5992998682365 \tabularnewline
29 & -17.57638889 & -32.3421067094874 & -0.149311571005525 & -2.66135949950712 & -14.7657178194874 \tabularnewline
30 & -7.215277778 & -11.1247590335399 & -0.136067395629892 & -3.16972912683021 & -3.9094812555399 \tabularnewline
31 & -5.965277778 & -8.12966178408365 & -0.122795017763052 & -3.6780987541533 & -2.16438400608365 \tabularnewline
32 & -4.847222222 & -6.17820623260382 & -0.0785401557079679 & -3.43769805568821 & -1.33098401060382 \tabularnewline
33 & -11.49027778 & -19.8585718593277 & 0.0753136565508137 & -3.19729735722312 & -8.36829407932769 \tabularnewline
34 & -5.806944444 & -9.31437438712389 & -0.0170912044558594 & -2.28242329642025 & -3.5074299431239 \tabularnewline
35 & 1.176388889 & 3.82983401600918 & -0.109507002391812 & -1.36754923561737 & 2.65344512700918 \tabularnewline
36 & 22.38472222 & 44.5841864758618 & -0.0299792695224097 & 0.215237233660613 & 22.1994642558618 \tabularnewline
37 & -27.86805556 & -57.7424700399407 & 0.208335217002153 & 1.79802370293859 & -29.8744144799407 \tabularnewline
38 & 26.3125 & 48.6924433402062 & 0.186708438043859 & 3.74584822174994 & 22.3799433402062 \tabularnewline
39 & -5.777777778 & -17.4142870870995 & 0.16505879053823 & 5.69367274056128 & -11.6365093090995 \tabularnewline
40 & 6.840277778 & 6.84237910732744 & 0.00788252948511825 & 6.83029391918744 & 0.00210132932744145 \tabularnewline
41 & 3.298611111 & -1.22038130480807 & -0.149311571005525 & 7.9669150978136 & -4.51899241580807 \tabularnewline
42 & 0.659722222 & -5.66530792473864 & -0.136067395629892 & 7.12081976436853 & -6.32503014673864 \tabularnewline
43 & 29.03472222 & 51.9175150268396 & -0.122795017763052 & 6.27472443092346 & 22.8827928068396 \tabularnewline
44 & 22.52777778 & 40.4613924259354 & -0.0785401557079679 & 4.67270328977253 & 17.9336146459354 \tabularnewline
45 & 18.55138889 & 33.9567819748276 & 0.0753136565508137 & 3.07068214862161 & 15.4053930848276 \tabularnewline
46 & 8.193055556 & 14.3733873404795 & -0.0170912044558594 & 2.02981497597634 & 6.18033178447952 \tabularnewline
47 & 2.968055556 & 5.05667031106075 & -0.109507002391812 & 0.988947803331065 & 2.08861475506075 \tabularnewline
48 & -25.07361111 & -50.0110846205572 & -0.0299792695224097 & -0.106158329920365 & -24.9374735105572 \tabularnewline
49 & -30.65972222 & -60.3265151938304 & 0.208335217002153 & -1.2012644631718 & -29.6667929738304 \tabularnewline
50 & -19.5625 & -36.8565503800021 & 0.186708438043859 & -2.45515805804174 & -17.2940503800021 \tabularnewline
51 & -3.069444444 & -2.59489602562654 & 0.16505879053823 & -3.70905165291169 & 0.47454841837346 \tabularnewline
52 & 6.381944444 & 16.4656859737992 & 0.00788252948511825 & -3.70967961528434 & 10.0837415297992 \tabularnewline
53 & 20.92361111 & 45.7068413686625 & -0.149311571005525 & -3.71030757765699 & 24.7832302586625 \tabularnewline
54 & 4.951388889 & 12.8109478634504 & -0.136067395629892 & -2.7721026898205 & 7.85955897445039 \tabularnewline
55 & -18.67361111 & -35.3905294002529 & -0.122795017763052 & -1.833897801984 & -16.7169182902529 \tabularnewline
56 & 2.444444444 & 6.31435645947021 & -0.0785401557079679 & -1.34692741576224 & 3.86991201547021 \tabularnewline
57 & 1.718055556 & 4.22075448498967 & 0.0753136565508137 & -0.859957029540481 & 2.50269892898967 \tabularnewline
58 & -3.056944444 & -5.10665862964151 & -0.0170912044558594 & -0.99013905390263 & -2.04971418564151 \tabularnewline
59 & 6.634722222 & 14.4992725246566 & -0.109507002391812 & -1.12032107826478 & 7.86455030265659 \tabularnewline
60 & -8.531944444 & -16.0794621062397 & -0.0299792695224097 & -0.954447512237937 & -7.54751766223965 \tabularnewline
61 & -14.24305556 & -27.9058723907911 & 0.208335217002153 & -0.788573946211096 & -13.6628168307911 \tabularnewline
62 & -0.895833333 & -1.31102885668443 & 0.186708438043859 & -0.667346247359429 & -0.41519552368443 \tabularnewline
63 & -3.152777778 & -5.92449579803047 & 0.16505879053823 & -0.546118548507761 & -2.77171802003047 \tabularnewline
64 & 14.21527778 & 28.7572786924363 & 0.00788252948511825 & -0.334605661921405 & 14.5420009124363 \tabularnewline
65 & 10.13194444 & 20.5362932263406 & -0.149311571005525 & -0.123092775335048 & 10.4043487863406 \tabularnewline
66 & -13.54861111 & -27.1220871215419 & -0.136067395629892 & 0.160932297171787 & -13.5734760115419 \tabularnewline
67 & 0.534722222 & 0.747282092084429 & -0.122795017763052 & 0.444957369678623 & 0.212559870084429 \tabularnewline
68 & 2.111111111 & 3.55218057326417 & -0.0785401557079679 & 0.748581804443801 & 1.44106946226417 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188060&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]17.75694444[/C][C]35.9829783689406[/C][C]0.208335217002153[/C][C]-0.677424705942735[/C][C]18.2260339289406[/C][/ROW]
[ROW][C]2[/C][C]-10.5625[/C][C]-21.0007058392485[/C][C]0.186708438043859[/C][C]-0.311002598795385[/C][C]-10.4382058392485[/C][/ROW]
[ROW][C]3[/C][C]-10.40277778[/C][C]-21.0260338588902[/C][C]0.16505879053823[/C][C]0.0554195083519647[/C][C]-10.6232560788902[/C][/ROW]
[ROW][C]4[/C][C]-24.45138889[/C][C]-49.3588320858167[/C][C]0.00788252948511825[/C][C]0.44817177633155[/C][C]-24.9074431958167[/C][/ROW]
[ROW][C]5[/C][C]7.798611111[/C][C]14.9056097486944[/C][C]-0.149311571005525[/C][C]0.840924044311136[/C][C]7.10699863769439[/C][/ROW]
[ROW][C]6[/C][C]56.28472222[/C][C]111.318127120721[/C][C]-0.136067395629892[/C][C]1.38738471490909[/C][C]55.0334049007208[/C][/ROW]
[ROW][C]7[/C][C]2.743055556[/C][C]3.675060744256[/C][C]-0.122795017763052[/C][C]1.93384538550705[/C][C]0.932005188256005[/C][/ROW]
[ROW][C]8[/C][C]-26.97222222[/C][C]-56.6475872054788[/C][C]-0.0785401557079679[/C][C]2.78168292118678[/C][C]-29.6753649854788[/C][/ROW]
[ROW][C]9[/C][C]-5.948611111[/C][C]-15.6020563354173[/C][C]0.0753136565508137[/C][C]3.62952045686652[/C][C]-9.65344522441734[/C][/ROW]
[ROW][C]10[/C][C]-13.34861111[/C][C]-30.629105465718[/C][C]-0.0170912044558594[/C][C]3.94897445017389[/C][C]-17.280494355718[/C][/ROW]
[ROW][C]11[/C][C]5.718055556[/C][C]7.27718967091055[/C][C]-0.109507002391812[/C][C]4.26842844348126[/C][C]1.55913411491055[/C][/ROW]
[ROW][C]12[/C][C]-13.86527778[/C][C]-30.4882307233385[/C][C]-0.0299792695224097[/C][C]2.78765443286095[/C][C]-16.6229529433385[/C][/ROW]
[ROW][C]13[/C][C]53.75694444[/C][C]105.998673240757[/C][C]0.208335217002153[/C][C]1.30688042224064[/C][C]52.2417288007572[/C][/ROW]
[ROW][C]14[/C][C]3.3125[/C][C]5.45157468269725[/C][C]0.186708438043859[/C][C]0.986716879258888[/C][C]2.13907468269725[/C][/ROW]
[ROW][C]15[/C][C]30.80555556[/C][C]60.7794989931846[/C][C]0.16505879053823[/C][C]0.666553336277136[/C][C]29.9739434331846[/C][/ROW]
[ROW][C]16[/C][C]-3.409722222[/C][C]-7.66697178980364[/C][C]0.00788252948511825[/C][C]0.839644816318526[/C][C]-4.25724956780364[/C][/ROW]
[ROW][C]17[/C][C]-22.11805556[/C][C]-45.0995358453544[/C][C]-0.149311571005525[/C][C]1.01273629635992[/C][C]-22.9814802853544[/C][/ROW]
[ROW][C]18[/C][C]-38.67361111[/C][C]-77.7639770926369[/C][C]-0.136067395629892[/C][C]0.552822268266829[/C][C]-39.0903659826369[/C][/ROW]
[ROW][C]19[/C][C]-5.215277778[/C][C]-10.4006687784107[/C][C]-0.122795017763052[/C][C]0.0929082401737404[/C][C]-5.18539100041069[/C][/ROW]
[ROW][C]20[/C][C]7.194444444[/C][C]14.9024668111835[/C][C]-0.0785401557079679[/C][C]-0.435037767475543[/C][C]7.70802236718351[/C][/ROW]
[ROW][C]21[/C][C]-0.781944444[/C][C]-0.676218769425988[/C][C]0.0753136565508137[/C][C]-0.962983775124826[/C][C]0.105725674574012[/C][/ROW]
[ROW][C]22[/C][C]16.06805556[/C][C]32.7477009327683[/C][C]-0.0170912044558594[/C][C]-0.59449860831247[/C][C]16.6796453727683[/C][/ROW]
[ROW][C]23[/C][C]-14.44861111[/C][C]-28.5617017761081[/C][C]-0.109507002391812[/C][C]-0.226013441500115[/C][C]-14.1130906661081[/C][/ROW]
[ROW][C]24[/C][C]27.13472222[/C][C]54.1019780084654[/C][C]-0.0299792695224097[/C][C]0.197445701056999[/C][C]26.9672557884654[/C][/ROW]
[ROW][C]25[/C][C]3.715277778[/C][C]6.60131549538373[/C][C]0.208335217002153[/C][C]0.620904843614112[/C][C]2.88603771738373[/C][/ROW]
[ROW][C]26[/C][C]3.854166667[/C][C]7.60573067811714[/C][C]0.186708438043859[/C][C]-0.0841057821610033[/C][C]3.75156401111714[/C][/ROW]
[ROW][C]27[/C][C]-5.944444444[/C][C]-11.2648312706021[/C][C]0.16505879053823[/C][C]-0.789116407936119[/C][C]-5.32038682660211[/C][/ROW]
[ROW][C]28[/C][C]2.881944444[/C][C]7.4812443122365[/C][C]0.00788252948511825[/C][C]-1.72523795372162[/C][C]4.5992998682365[/C][/ROW]
[ROW][C]29[/C][C]-17.57638889[/C][C]-32.3421067094874[/C][C]-0.149311571005525[/C][C]-2.66135949950712[/C][C]-14.7657178194874[/C][/ROW]
[ROW][C]30[/C][C]-7.215277778[/C][C]-11.1247590335399[/C][C]-0.136067395629892[/C][C]-3.16972912683021[/C][C]-3.9094812555399[/C][/ROW]
[ROW][C]31[/C][C]-5.965277778[/C][C]-8.12966178408365[/C][C]-0.122795017763052[/C][C]-3.6780987541533[/C][C]-2.16438400608365[/C][/ROW]
[ROW][C]32[/C][C]-4.847222222[/C][C]-6.17820623260382[/C][C]-0.0785401557079679[/C][C]-3.43769805568821[/C][C]-1.33098401060382[/C][/ROW]
[ROW][C]33[/C][C]-11.49027778[/C][C]-19.8585718593277[/C][C]0.0753136565508137[/C][C]-3.19729735722312[/C][C]-8.36829407932769[/C][/ROW]
[ROW][C]34[/C][C]-5.806944444[/C][C]-9.31437438712389[/C][C]-0.0170912044558594[/C][C]-2.28242329642025[/C][C]-3.5074299431239[/C][/ROW]
[ROW][C]35[/C][C]1.176388889[/C][C]3.82983401600918[/C][C]-0.109507002391812[/C][C]-1.36754923561737[/C][C]2.65344512700918[/C][/ROW]
[ROW][C]36[/C][C]22.38472222[/C][C]44.5841864758618[/C][C]-0.0299792695224097[/C][C]0.215237233660613[/C][C]22.1994642558618[/C][/ROW]
[ROW][C]37[/C][C]-27.86805556[/C][C]-57.7424700399407[/C][C]0.208335217002153[/C][C]1.79802370293859[/C][C]-29.8744144799407[/C][/ROW]
[ROW][C]38[/C][C]26.3125[/C][C]48.6924433402062[/C][C]0.186708438043859[/C][C]3.74584822174994[/C][C]22.3799433402062[/C][/ROW]
[ROW][C]39[/C][C]-5.777777778[/C][C]-17.4142870870995[/C][C]0.16505879053823[/C][C]5.69367274056128[/C][C]-11.6365093090995[/C][/ROW]
[ROW][C]40[/C][C]6.840277778[/C][C]6.84237910732744[/C][C]0.00788252948511825[/C][C]6.83029391918744[/C][C]0.00210132932744145[/C][/ROW]
[ROW][C]41[/C][C]3.298611111[/C][C]-1.22038130480807[/C][C]-0.149311571005525[/C][C]7.9669150978136[/C][C]-4.51899241580807[/C][/ROW]
[ROW][C]42[/C][C]0.659722222[/C][C]-5.66530792473864[/C][C]-0.136067395629892[/C][C]7.12081976436853[/C][C]-6.32503014673864[/C][/ROW]
[ROW][C]43[/C][C]29.03472222[/C][C]51.9175150268396[/C][C]-0.122795017763052[/C][C]6.27472443092346[/C][C]22.8827928068396[/C][/ROW]
[ROW][C]44[/C][C]22.52777778[/C][C]40.4613924259354[/C][C]-0.0785401557079679[/C][C]4.67270328977253[/C][C]17.9336146459354[/C][/ROW]
[ROW][C]45[/C][C]18.55138889[/C][C]33.9567819748276[/C][C]0.0753136565508137[/C][C]3.07068214862161[/C][C]15.4053930848276[/C][/ROW]
[ROW][C]46[/C][C]8.193055556[/C][C]14.3733873404795[/C][C]-0.0170912044558594[/C][C]2.02981497597634[/C][C]6.18033178447952[/C][/ROW]
[ROW][C]47[/C][C]2.968055556[/C][C]5.05667031106075[/C][C]-0.109507002391812[/C][C]0.988947803331065[/C][C]2.08861475506075[/C][/ROW]
[ROW][C]48[/C][C]-25.07361111[/C][C]-50.0110846205572[/C][C]-0.0299792695224097[/C][C]-0.106158329920365[/C][C]-24.9374735105572[/C][/ROW]
[ROW][C]49[/C][C]-30.65972222[/C][C]-60.3265151938304[/C][C]0.208335217002153[/C][C]-1.2012644631718[/C][C]-29.6667929738304[/C][/ROW]
[ROW][C]50[/C][C]-19.5625[/C][C]-36.8565503800021[/C][C]0.186708438043859[/C][C]-2.45515805804174[/C][C]-17.2940503800021[/C][/ROW]
[ROW][C]51[/C][C]-3.069444444[/C][C]-2.59489602562654[/C][C]0.16505879053823[/C][C]-3.70905165291169[/C][C]0.47454841837346[/C][/ROW]
[ROW][C]52[/C][C]6.381944444[/C][C]16.4656859737992[/C][C]0.00788252948511825[/C][C]-3.70967961528434[/C][C]10.0837415297992[/C][/ROW]
[ROW][C]53[/C][C]20.92361111[/C][C]45.7068413686625[/C][C]-0.149311571005525[/C][C]-3.71030757765699[/C][C]24.7832302586625[/C][/ROW]
[ROW][C]54[/C][C]4.951388889[/C][C]12.8109478634504[/C][C]-0.136067395629892[/C][C]-2.7721026898205[/C][C]7.85955897445039[/C][/ROW]
[ROW][C]55[/C][C]-18.67361111[/C][C]-35.3905294002529[/C][C]-0.122795017763052[/C][C]-1.833897801984[/C][C]-16.7169182902529[/C][/ROW]
[ROW][C]56[/C][C]2.444444444[/C][C]6.31435645947021[/C][C]-0.0785401557079679[/C][C]-1.34692741576224[/C][C]3.86991201547021[/C][/ROW]
[ROW][C]57[/C][C]1.718055556[/C][C]4.22075448498967[/C][C]0.0753136565508137[/C][C]-0.859957029540481[/C][C]2.50269892898967[/C][/ROW]
[ROW][C]58[/C][C]-3.056944444[/C][C]-5.10665862964151[/C][C]-0.0170912044558594[/C][C]-0.99013905390263[/C][C]-2.04971418564151[/C][/ROW]
[ROW][C]59[/C][C]6.634722222[/C][C]14.4992725246566[/C][C]-0.109507002391812[/C][C]-1.12032107826478[/C][C]7.86455030265659[/C][/ROW]
[ROW][C]60[/C][C]-8.531944444[/C][C]-16.0794621062397[/C][C]-0.0299792695224097[/C][C]-0.954447512237937[/C][C]-7.54751766223965[/C][/ROW]
[ROW][C]61[/C][C]-14.24305556[/C][C]-27.9058723907911[/C][C]0.208335217002153[/C][C]-0.788573946211096[/C][C]-13.6628168307911[/C][/ROW]
[ROW][C]62[/C][C]-0.895833333[/C][C]-1.31102885668443[/C][C]0.186708438043859[/C][C]-0.667346247359429[/C][C]-0.41519552368443[/C][/ROW]
[ROW][C]63[/C][C]-3.152777778[/C][C]-5.92449579803047[/C][C]0.16505879053823[/C][C]-0.546118548507761[/C][C]-2.77171802003047[/C][/ROW]
[ROW][C]64[/C][C]14.21527778[/C][C]28.7572786924363[/C][C]0.00788252948511825[/C][C]-0.334605661921405[/C][C]14.5420009124363[/C][/ROW]
[ROW][C]65[/C][C]10.13194444[/C][C]20.5362932263406[/C][C]-0.149311571005525[/C][C]-0.123092775335048[/C][C]10.4043487863406[/C][/ROW]
[ROW][C]66[/C][C]-13.54861111[/C][C]-27.1220871215419[/C][C]-0.136067395629892[/C][C]0.160932297171787[/C][C]-13.5734760115419[/C][/ROW]
[ROW][C]67[/C][C]0.534722222[/C][C]0.747282092084429[/C][C]-0.122795017763052[/C][C]0.444957369678623[/C][C]0.212559870084429[/C][/ROW]
[ROW][C]68[/C][C]2.111111111[/C][C]3.55218057326417[/C][C]-0.0785401557079679[/C][C]0.748581804443801[/C][C]1.44106946226417[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=188060&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188060&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
117.7569444435.98297836894060.208335217002153-0.67742470594273518.2260339289406
2-10.5625-21.00070583924850.186708438043859-0.311002598795385-10.4382058392485
3-10.40277778-21.02603385889020.165058790538230.0554195083519647-10.6232560788902
4-24.45138889-49.35883208581670.007882529485118250.44817177633155-24.9074431958167
57.79861111114.9056097486944-0.1493115710055250.8409240443111367.10699863769439
656.28472222111.318127120721-0.1360673956298921.3873847149090955.0334049007208
72.7430555563.675060744256-0.1227950177630521.933845385507050.932005188256005
8-26.97222222-56.6475872054788-0.07854015570796792.78168292118678-29.6753649854788
9-5.948611111-15.60205633541730.07531365655081373.62952045686652-9.65344522441734
10-13.34861111-30.629105465718-0.01709120445585943.94897445017389-17.280494355718
115.7180555567.27718967091055-0.1095070023918124.268428443481261.55913411491055
12-13.86527778-30.4882307233385-0.02997926952240972.78765443286095-16.6229529433385
1353.75694444105.9986732407570.2083352170021531.3068804222406452.2417288007572
143.31255.451574682697250.1867084380438590.9867168792588882.13907468269725
1530.8055555660.77949899318460.165058790538230.66655333627713629.9739434331846
16-3.409722222-7.666971789803640.007882529485118250.839644816318526-4.25724956780364
17-22.11805556-45.0995358453544-0.1493115710055251.01273629635992-22.9814802853544
18-38.67361111-77.7639770926369-0.1360673956298920.552822268266829-39.0903659826369
19-5.215277778-10.4006687784107-0.1227950177630520.0929082401737404-5.18539100041069
207.19444444414.9024668111835-0.0785401557079679-0.4350377674755437.70802236718351
21-0.781944444-0.6762187694259880.0753136565508137-0.9629837751248260.105725674574012
2216.0680555632.7477009327683-0.0170912044558594-0.5944986083124716.6796453727683
23-14.44861111-28.5617017761081-0.109507002391812-0.226013441500115-14.1130906661081
2427.1347222254.1019780084654-0.02997926952240970.19744570105699926.9672557884654
253.7152777786.601315495383730.2083352170021530.6209048436141122.88603771738373
263.8541666677.605730678117140.186708438043859-0.08410578216100333.75156401111714
27-5.944444444-11.26483127060210.16505879053823-0.789116407936119-5.32038682660211
282.8819444447.48124431223650.00788252948511825-1.725237953721624.5992998682365
29-17.57638889-32.3421067094874-0.149311571005525-2.66135949950712-14.7657178194874
30-7.215277778-11.1247590335399-0.136067395629892-3.16972912683021-3.9094812555399
31-5.965277778-8.12966178408365-0.122795017763052-3.6780987541533-2.16438400608365
32-4.847222222-6.17820623260382-0.0785401557079679-3.43769805568821-1.33098401060382
33-11.49027778-19.85857185932770.0753136565508137-3.19729735722312-8.36829407932769
34-5.806944444-9.31437438712389-0.0170912044558594-2.28242329642025-3.5074299431239
351.1763888893.82983401600918-0.109507002391812-1.367549235617372.65344512700918
3622.3847222244.5841864758618-0.02997926952240970.21523723366061322.1994642558618
37-27.86805556-57.74247003994070.2083352170021531.79802370293859-29.8744144799407
3826.312548.69244334020620.1867084380438593.7458482217499422.3799433402062
39-5.777777778-17.41428708709950.165058790538235.69367274056128-11.6365093090995
406.8402777786.842379107327440.007882529485118256.830293919187440.00210132932744145
413.298611111-1.22038130480807-0.1493115710055257.9669150978136-4.51899241580807
420.659722222-5.66530792473864-0.1360673956298927.12081976436853-6.32503014673864
4329.0347222251.9175150268396-0.1227950177630526.2747244309234622.8827928068396
4422.5277777840.4613924259354-0.07854015570796794.6727032897725317.9336146459354
4518.5513888933.95678197482760.07531365655081373.0706821486216115.4053930848276
468.19305555614.3733873404795-0.01709120445585942.029814975976346.18033178447952
472.9680555565.05667031106075-0.1095070023918120.9889478033310652.08861475506075
48-25.07361111-50.0110846205572-0.0299792695224097-0.106158329920365-24.9374735105572
49-30.65972222-60.32651519383040.208335217002153-1.2012644631718-29.6667929738304
50-19.5625-36.85655038000210.186708438043859-2.45515805804174-17.2940503800021
51-3.069444444-2.594896025626540.16505879053823-3.709051652911690.47454841837346
526.38194444416.46568597379920.00788252948511825-3.7096796152843410.0837415297992
5320.9236111145.7068413686625-0.149311571005525-3.7103075776569924.7832302586625
544.95138888912.8109478634504-0.136067395629892-2.77210268982057.85955897445039
55-18.67361111-35.3905294002529-0.122795017763052-1.833897801984-16.7169182902529
562.4444444446.31435645947021-0.0785401557079679-1.346927415762243.86991201547021
571.7180555564.220754484989670.0753136565508137-0.8599570295404812.50269892898967
58-3.056944444-5.10665862964151-0.0170912044558594-0.99013905390263-2.04971418564151
596.63472222214.4992725246566-0.109507002391812-1.120321078264787.86455030265659
60-8.531944444-16.0794621062397-0.0299792695224097-0.954447512237937-7.54751766223965
61-14.24305556-27.90587239079110.208335217002153-0.788573946211096-13.6628168307911
62-0.895833333-1.311028856684430.186708438043859-0.667346247359429-0.41519552368443
63-3.152777778-5.924495798030470.16505879053823-0.546118548507761-2.77171802003047
6414.2152777828.75727869243630.00788252948511825-0.33460566192140514.5420009124363
6510.1319444420.5362932263406-0.149311571005525-0.12309277533504810.4043487863406
66-13.54861111-27.1220871215419-0.1360673956298920.160932297171787-13.5734760115419
670.5347222220.747282092084429-0.1227950177630520.4449573696786230.212559870084429
682.1111111113.55218057326417-0.07854015570796790.7485818044438011.44106946226417



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