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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 03:21:13 -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/t1259922127ncqdghhknzno3k8.htm/, Retrieved Sun, 28 Apr 2024 11:25:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63241, Retrieved Sun, 28 Apr 2024 11:25:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSHW WS 9 Decomposition by Loess
Estimated Impact86
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]
-   PD      [Decomposition by Loess] [WS 9 Decompositio...] [2009-12-04 10:21:13] [a45cc820faa25ce30779915639528ec2] [Current]
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Dataseries X:
14.2
13.5
11.9
14.6
15.6
14.1
14.9
14.2
14.6
17.2
15.4
14.3
17.5
14.5
14.4
16.6
16.7
16.6
16.9
15.7
16.4
18.4
16.9
16.5
18.3
15.1
15.7
18.1
16.8
18.9
19
18.1
17.8
21.5
17.1
18.7
19
16.4
16.9
18.6
19.3
19.4
17.6
18.6
18.1
20.4
18.1
19.6
19.9
19.2
17.8
19.2
22
21.1
19.5
22.2
20.9
22.2
23.5
21.5
24.3
22.8
20.3
23.7
23.3
19.6
18
17.3
16.8
18.2
16.5
16
18.4




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=63241&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=63241&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63241&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
Seasonal731074
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 731 & 0 & 74 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63241&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]731[/C][C]0[/C][C]74[/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=63241&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63241&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
Seasonal731074
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
114.213.55827324294211.3325977123306313.5091290447273-0.64172675705792
213.514.2025405798360-0.90571332064898413.70317274081300.702540579836022
311.911.6296125048739-1.7268289417725613.8972164368986-0.270387495126068
414.614.57677247394090.53553482426840614.0876927017907-0.0232275260590900
515.615.94059870507000.98123232824730714.27816896668270.340598705069956
614.113.45768877865270.27774106658717614.4645701547601-0.642311221347272
714.915.5414474357187-0.3924187785561814.65097134283750.641447435718725
814.213.9598532280381-0.39192987017448414.8320766421364-0.240146771961944
914.614.8615929707132-0.6747749121486315.01318194143540.261592970713227
1017.217.69514410450361.5283431522478315.17651274324860.495144104503582
1115.415.6786960879654-0.21853963302713215.33984354506180.278696087965365
1214.313.4554052457377-0.3452442256051415.4898389798674-0.844594754262257
1317.518.02756787299631.3325977123306315.63983441467300.527567872996347
1414.514.1253009896989-0.90571332064898415.7804123309501-0.374699010301121
1514.414.6058386945454-1.7268289417725615.92099024722720.205838694545379
1616.616.60620247171620.53553482426840616.05826270401530.00620247171624655
1716.716.22323251094920.98123232824730716.1955351608035-0.476767489050816
1816.616.60272395964400.27774106658717616.31953497376880.00272395964397987
1916.917.748883991822-0.3924187785561816.44353478673420.848883991821992
2015.715.2506556592702-0.39192987017448416.5412742109043-0.449344340729844
2116.416.8357612770742-0.6747749121486316.63901363507450.435761277074167
2218.418.55084901897441.5283431522478316.72080782877770.150849018974441
2316.917.2159376105461-0.21853963302713216.8026020224810.31593761054614
2416.516.4262753711937-0.3452442256051416.9189688544115-0.0737246288063389
2518.318.23206660132741.3325977123306317.0353356863420-0.0679333986725936
2615.113.9114290049310-0.90571332064898417.1942843157180-1.18857099506904
2715.715.7735959966785-1.7268289417725617.35323294509410.0735959966784918
2818.118.13634830466210.53553482426840617.52811687106950.0363483046621162
2916.814.91576687470780.98123232824730717.7030007970449-1.88423312529220
3018.919.67201870023850.27774106658717617.85024023317430.772018700238544
311920.3949391092525-0.3924187785561817.99747966930371.39493910925251
3218.118.4843227954527-0.39192987017448418.10760707472180.384322795452725
3317.818.0570404320088-0.6747749121486318.21773448013980.257040432008782
3421.523.18799859656651.5283431522478318.28365825118571.68799859656647
3517.116.0689576107956-0.21853963302713218.3495820222315-1.03104238920441
3618.719.379006102569-0.3452442256051418.36623812303610.679006102569012
371918.28450806382871.3325977123306318.3828942238407-0.715491936171329
3816.415.3334078041516-0.90571332064898418.3723055164974-1.0665921958484
3916.917.1651121326185-1.7268289417725618.36171680915410.265112132618494
4018.618.27842506782690.53553482426840618.3860401079047-0.321574932173117
4119.319.20840426509730.98123232824730718.4103634066554-0.0915957349026613
4219.420.02937465750680.27774106658717618.49288427590610.629374657506752
4317.617.0170136333994-0.3924187785561818.5754051451568-0.582986366600601
4418.618.9012169327382-0.39192987017448418.69071293743630.301216932738232
4518.118.0687541824329-0.6747749121486318.8060207297157-0.0312458175670862
4620.420.33979237096421.5283431522478318.931864476788-0.0602076290358333
4718.117.3608314091669-0.21853963302713219.0577082238603-0.739168590833149
4819.620.3243293670562-0.3452442256051419.22091485854900.724329367056168
4919.919.08328079443171.3325977123306319.3841214932377-0.816719205568287
5019.219.7011018067437-0.90571332064898419.60461151390530.501101806743716
5117.817.5017274071997-1.7268289417725619.8251015345729-0.298272592800316
5219.217.77545139573400.53553482426840620.0890137799976-1.42454860426596
532222.66584164633050.98123232824730720.35292602542220.66584164633047
5421.121.27205380748940.27774106658717620.65020512592340.172053807489377
5519.518.4449345521315-0.3924187785561820.9474842264247-1.05506544786849
5622.223.5440808285770-0.39192987017448421.24784904159741.34408082857703
5720.920.9265610553784-0.6747749121486321.54821385677020.0265610553784086
5822.221.10010134173571.5283431522478321.7715555060164-1.09989865826427
5923.525.2236424777645-0.21853963302713221.99489715526271.72364247776447
6021.521.3556752846334-0.3452442256051421.9895689409717-0.144324715366604
6124.325.28316156098851.3325977123306321.98424072668080.983161560988538
6222.824.785444527483-0.90571332064898421.7202687931661.98544452748301
6320.320.8705320821214-1.7268289417725621.45629685965110.570532082121442
6423.725.91913408786570.53553482426840620.94533108786592.21913408786573
6523.325.18440235567210.98123232824730720.43436531608061.8844023556721
6619.619.05086179427950.27774106658717619.8713971391333-0.549138205720489
671817.0839898163701-0.3924187785561819.3084289621860-0.916010183629854
6817.316.2666789206518-0.39192987017448418.7252509495227-1.03332107934820
6916.816.1327019752893-0.6747749121486318.1420729368593-0.667298024710696
7018.217.33422808805681.5283431522478317.5374287596954-0.865771911943231
7116.516.2857550504957-0.21853963302713216.9327845825315-0.214244949504337
721616.0229262480767-0.3452442256051416.32231797752840.0229262480767396
7318.419.75555091514401.3325977123306315.71185137252531.35555091514404

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 14.2 & 13.5582732429421 & 1.33259771233063 & 13.5091290447273 & -0.64172675705792 \tabularnewline
2 & 13.5 & 14.2025405798360 & -0.905713320648984 & 13.7031727408130 & 0.702540579836022 \tabularnewline
3 & 11.9 & 11.6296125048739 & -1.72682894177256 & 13.8972164368986 & -0.270387495126068 \tabularnewline
4 & 14.6 & 14.5767724739409 & 0.535534824268406 & 14.0876927017907 & -0.0232275260590900 \tabularnewline
5 & 15.6 & 15.9405987050700 & 0.981232328247307 & 14.2781689666827 & 0.340598705069956 \tabularnewline
6 & 14.1 & 13.4576887786527 & 0.277741066587176 & 14.4645701547601 & -0.642311221347272 \tabularnewline
7 & 14.9 & 15.5414474357187 & -0.39241877855618 & 14.6509713428375 & 0.641447435718725 \tabularnewline
8 & 14.2 & 13.9598532280381 & -0.391929870174484 & 14.8320766421364 & -0.240146771961944 \tabularnewline
9 & 14.6 & 14.8615929707132 & -0.67477491214863 & 15.0131819414354 & 0.261592970713227 \tabularnewline
10 & 17.2 & 17.6951441045036 & 1.52834315224783 & 15.1765127432486 & 0.495144104503582 \tabularnewline
11 & 15.4 & 15.6786960879654 & -0.218539633027132 & 15.3398435450618 & 0.278696087965365 \tabularnewline
12 & 14.3 & 13.4554052457377 & -0.34524422560514 & 15.4898389798674 & -0.844594754262257 \tabularnewline
13 & 17.5 & 18.0275678729963 & 1.33259771233063 & 15.6398344146730 & 0.527567872996347 \tabularnewline
14 & 14.5 & 14.1253009896989 & -0.905713320648984 & 15.7804123309501 & -0.374699010301121 \tabularnewline
15 & 14.4 & 14.6058386945454 & -1.72682894177256 & 15.9209902472272 & 0.205838694545379 \tabularnewline
16 & 16.6 & 16.6062024717162 & 0.535534824268406 & 16.0582627040153 & 0.00620247171624655 \tabularnewline
17 & 16.7 & 16.2232325109492 & 0.981232328247307 & 16.1955351608035 & -0.476767489050816 \tabularnewline
18 & 16.6 & 16.6027239596440 & 0.277741066587176 & 16.3195349737688 & 0.00272395964397987 \tabularnewline
19 & 16.9 & 17.748883991822 & -0.39241877855618 & 16.4435347867342 & 0.848883991821992 \tabularnewline
20 & 15.7 & 15.2506556592702 & -0.391929870174484 & 16.5412742109043 & -0.449344340729844 \tabularnewline
21 & 16.4 & 16.8357612770742 & -0.67477491214863 & 16.6390136350745 & 0.435761277074167 \tabularnewline
22 & 18.4 & 18.5508490189744 & 1.52834315224783 & 16.7208078287777 & 0.150849018974441 \tabularnewline
23 & 16.9 & 17.2159376105461 & -0.218539633027132 & 16.802602022481 & 0.31593761054614 \tabularnewline
24 & 16.5 & 16.4262753711937 & -0.34524422560514 & 16.9189688544115 & -0.0737246288063389 \tabularnewline
25 & 18.3 & 18.2320666013274 & 1.33259771233063 & 17.0353356863420 & -0.0679333986725936 \tabularnewline
26 & 15.1 & 13.9114290049310 & -0.905713320648984 & 17.1942843157180 & -1.18857099506904 \tabularnewline
27 & 15.7 & 15.7735959966785 & -1.72682894177256 & 17.3532329450941 & 0.0735959966784918 \tabularnewline
28 & 18.1 & 18.1363483046621 & 0.535534824268406 & 17.5281168710695 & 0.0363483046621162 \tabularnewline
29 & 16.8 & 14.9157668747078 & 0.981232328247307 & 17.7030007970449 & -1.88423312529220 \tabularnewline
30 & 18.9 & 19.6720187002385 & 0.277741066587176 & 17.8502402331743 & 0.772018700238544 \tabularnewline
31 & 19 & 20.3949391092525 & -0.39241877855618 & 17.9974796693037 & 1.39493910925251 \tabularnewline
32 & 18.1 & 18.4843227954527 & -0.391929870174484 & 18.1076070747218 & 0.384322795452725 \tabularnewline
33 & 17.8 & 18.0570404320088 & -0.67477491214863 & 18.2177344801398 & 0.257040432008782 \tabularnewline
34 & 21.5 & 23.1879985965665 & 1.52834315224783 & 18.2836582511857 & 1.68799859656647 \tabularnewline
35 & 17.1 & 16.0689576107956 & -0.218539633027132 & 18.3495820222315 & -1.03104238920441 \tabularnewline
36 & 18.7 & 19.379006102569 & -0.34524422560514 & 18.3662381230361 & 0.679006102569012 \tabularnewline
37 & 19 & 18.2845080638287 & 1.33259771233063 & 18.3828942238407 & -0.715491936171329 \tabularnewline
38 & 16.4 & 15.3334078041516 & -0.905713320648984 & 18.3723055164974 & -1.0665921958484 \tabularnewline
39 & 16.9 & 17.1651121326185 & -1.72682894177256 & 18.3617168091541 & 0.265112132618494 \tabularnewline
40 & 18.6 & 18.2784250678269 & 0.535534824268406 & 18.3860401079047 & -0.321574932173117 \tabularnewline
41 & 19.3 & 19.2084042650973 & 0.981232328247307 & 18.4103634066554 & -0.0915957349026613 \tabularnewline
42 & 19.4 & 20.0293746575068 & 0.277741066587176 & 18.4928842759061 & 0.629374657506752 \tabularnewline
43 & 17.6 & 17.0170136333994 & -0.39241877855618 & 18.5754051451568 & -0.582986366600601 \tabularnewline
44 & 18.6 & 18.9012169327382 & -0.391929870174484 & 18.6907129374363 & 0.301216932738232 \tabularnewline
45 & 18.1 & 18.0687541824329 & -0.67477491214863 & 18.8060207297157 & -0.0312458175670862 \tabularnewline
46 & 20.4 & 20.3397923709642 & 1.52834315224783 & 18.931864476788 & -0.0602076290358333 \tabularnewline
47 & 18.1 & 17.3608314091669 & -0.218539633027132 & 19.0577082238603 & -0.739168590833149 \tabularnewline
48 & 19.6 & 20.3243293670562 & -0.34524422560514 & 19.2209148585490 & 0.724329367056168 \tabularnewline
49 & 19.9 & 19.0832807944317 & 1.33259771233063 & 19.3841214932377 & -0.816719205568287 \tabularnewline
50 & 19.2 & 19.7011018067437 & -0.905713320648984 & 19.6046115139053 & 0.501101806743716 \tabularnewline
51 & 17.8 & 17.5017274071997 & -1.72682894177256 & 19.8251015345729 & -0.298272592800316 \tabularnewline
52 & 19.2 & 17.7754513957340 & 0.535534824268406 & 20.0890137799976 & -1.42454860426596 \tabularnewline
53 & 22 & 22.6658416463305 & 0.981232328247307 & 20.3529260254222 & 0.66584164633047 \tabularnewline
54 & 21.1 & 21.2720538074894 & 0.277741066587176 & 20.6502051259234 & 0.172053807489377 \tabularnewline
55 & 19.5 & 18.4449345521315 & -0.39241877855618 & 20.9474842264247 & -1.05506544786849 \tabularnewline
56 & 22.2 & 23.5440808285770 & -0.391929870174484 & 21.2478490415974 & 1.34408082857703 \tabularnewline
57 & 20.9 & 20.9265610553784 & -0.67477491214863 & 21.5482138567702 & 0.0265610553784086 \tabularnewline
58 & 22.2 & 21.1001013417357 & 1.52834315224783 & 21.7715555060164 & -1.09989865826427 \tabularnewline
59 & 23.5 & 25.2236424777645 & -0.218539633027132 & 21.9948971552627 & 1.72364247776447 \tabularnewline
60 & 21.5 & 21.3556752846334 & -0.34524422560514 & 21.9895689409717 & -0.144324715366604 \tabularnewline
61 & 24.3 & 25.2831615609885 & 1.33259771233063 & 21.9842407266808 & 0.983161560988538 \tabularnewline
62 & 22.8 & 24.785444527483 & -0.905713320648984 & 21.720268793166 & 1.98544452748301 \tabularnewline
63 & 20.3 & 20.8705320821214 & -1.72682894177256 & 21.4562968596511 & 0.570532082121442 \tabularnewline
64 & 23.7 & 25.9191340878657 & 0.535534824268406 & 20.9453310878659 & 2.21913408786573 \tabularnewline
65 & 23.3 & 25.1844023556721 & 0.981232328247307 & 20.4343653160806 & 1.8844023556721 \tabularnewline
66 & 19.6 & 19.0508617942795 & 0.277741066587176 & 19.8713971391333 & -0.549138205720489 \tabularnewline
67 & 18 & 17.0839898163701 & -0.39241877855618 & 19.3084289621860 & -0.916010183629854 \tabularnewline
68 & 17.3 & 16.2666789206518 & -0.391929870174484 & 18.7252509495227 & -1.03332107934820 \tabularnewline
69 & 16.8 & 16.1327019752893 & -0.67477491214863 & 18.1420729368593 & -0.667298024710696 \tabularnewline
70 & 18.2 & 17.3342280880568 & 1.52834315224783 & 17.5374287596954 & -0.865771911943231 \tabularnewline
71 & 16.5 & 16.2857550504957 & -0.218539633027132 & 16.9327845825315 & -0.214244949504337 \tabularnewline
72 & 16 & 16.0229262480767 & -0.34524422560514 & 16.3223179775284 & 0.0229262480767396 \tabularnewline
73 & 18.4 & 19.7555509151440 & 1.33259771233063 & 15.7118513725253 & 1.35555091514404 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63241&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]14.2[/C][C]13.5582732429421[/C][C]1.33259771233063[/C][C]13.5091290447273[/C][C]-0.64172675705792[/C][/ROW]
[ROW][C]2[/C][C]13.5[/C][C]14.2025405798360[/C][C]-0.905713320648984[/C][C]13.7031727408130[/C][C]0.702540579836022[/C][/ROW]
[ROW][C]3[/C][C]11.9[/C][C]11.6296125048739[/C][C]-1.72682894177256[/C][C]13.8972164368986[/C][C]-0.270387495126068[/C][/ROW]
[ROW][C]4[/C][C]14.6[/C][C]14.5767724739409[/C][C]0.535534824268406[/C][C]14.0876927017907[/C][C]-0.0232275260590900[/C][/ROW]
[ROW][C]5[/C][C]15.6[/C][C]15.9405987050700[/C][C]0.981232328247307[/C][C]14.2781689666827[/C][C]0.340598705069956[/C][/ROW]
[ROW][C]6[/C][C]14.1[/C][C]13.4576887786527[/C][C]0.277741066587176[/C][C]14.4645701547601[/C][C]-0.642311221347272[/C][/ROW]
[ROW][C]7[/C][C]14.9[/C][C]15.5414474357187[/C][C]-0.39241877855618[/C][C]14.6509713428375[/C][C]0.641447435718725[/C][/ROW]
[ROW][C]8[/C][C]14.2[/C][C]13.9598532280381[/C][C]-0.391929870174484[/C][C]14.8320766421364[/C][C]-0.240146771961944[/C][/ROW]
[ROW][C]9[/C][C]14.6[/C][C]14.8615929707132[/C][C]-0.67477491214863[/C][C]15.0131819414354[/C][C]0.261592970713227[/C][/ROW]
[ROW][C]10[/C][C]17.2[/C][C]17.6951441045036[/C][C]1.52834315224783[/C][C]15.1765127432486[/C][C]0.495144104503582[/C][/ROW]
[ROW][C]11[/C][C]15.4[/C][C]15.6786960879654[/C][C]-0.218539633027132[/C][C]15.3398435450618[/C][C]0.278696087965365[/C][/ROW]
[ROW][C]12[/C][C]14.3[/C][C]13.4554052457377[/C][C]-0.34524422560514[/C][C]15.4898389798674[/C][C]-0.844594754262257[/C][/ROW]
[ROW][C]13[/C][C]17.5[/C][C]18.0275678729963[/C][C]1.33259771233063[/C][C]15.6398344146730[/C][C]0.527567872996347[/C][/ROW]
[ROW][C]14[/C][C]14.5[/C][C]14.1253009896989[/C][C]-0.905713320648984[/C][C]15.7804123309501[/C][C]-0.374699010301121[/C][/ROW]
[ROW][C]15[/C][C]14.4[/C][C]14.6058386945454[/C][C]-1.72682894177256[/C][C]15.9209902472272[/C][C]0.205838694545379[/C][/ROW]
[ROW][C]16[/C][C]16.6[/C][C]16.6062024717162[/C][C]0.535534824268406[/C][C]16.0582627040153[/C][C]0.00620247171624655[/C][/ROW]
[ROW][C]17[/C][C]16.7[/C][C]16.2232325109492[/C][C]0.981232328247307[/C][C]16.1955351608035[/C][C]-0.476767489050816[/C][/ROW]
[ROW][C]18[/C][C]16.6[/C][C]16.6027239596440[/C][C]0.277741066587176[/C][C]16.3195349737688[/C][C]0.00272395964397987[/C][/ROW]
[ROW][C]19[/C][C]16.9[/C][C]17.748883991822[/C][C]-0.39241877855618[/C][C]16.4435347867342[/C][C]0.848883991821992[/C][/ROW]
[ROW][C]20[/C][C]15.7[/C][C]15.2506556592702[/C][C]-0.391929870174484[/C][C]16.5412742109043[/C][C]-0.449344340729844[/C][/ROW]
[ROW][C]21[/C][C]16.4[/C][C]16.8357612770742[/C][C]-0.67477491214863[/C][C]16.6390136350745[/C][C]0.435761277074167[/C][/ROW]
[ROW][C]22[/C][C]18.4[/C][C]18.5508490189744[/C][C]1.52834315224783[/C][C]16.7208078287777[/C][C]0.150849018974441[/C][/ROW]
[ROW][C]23[/C][C]16.9[/C][C]17.2159376105461[/C][C]-0.218539633027132[/C][C]16.802602022481[/C][C]0.31593761054614[/C][/ROW]
[ROW][C]24[/C][C]16.5[/C][C]16.4262753711937[/C][C]-0.34524422560514[/C][C]16.9189688544115[/C][C]-0.0737246288063389[/C][/ROW]
[ROW][C]25[/C][C]18.3[/C][C]18.2320666013274[/C][C]1.33259771233063[/C][C]17.0353356863420[/C][C]-0.0679333986725936[/C][/ROW]
[ROW][C]26[/C][C]15.1[/C][C]13.9114290049310[/C][C]-0.905713320648984[/C][C]17.1942843157180[/C][C]-1.18857099506904[/C][/ROW]
[ROW][C]27[/C][C]15.7[/C][C]15.7735959966785[/C][C]-1.72682894177256[/C][C]17.3532329450941[/C][C]0.0735959966784918[/C][/ROW]
[ROW][C]28[/C][C]18.1[/C][C]18.1363483046621[/C][C]0.535534824268406[/C][C]17.5281168710695[/C][C]0.0363483046621162[/C][/ROW]
[ROW][C]29[/C][C]16.8[/C][C]14.9157668747078[/C][C]0.981232328247307[/C][C]17.7030007970449[/C][C]-1.88423312529220[/C][/ROW]
[ROW][C]30[/C][C]18.9[/C][C]19.6720187002385[/C][C]0.277741066587176[/C][C]17.8502402331743[/C][C]0.772018700238544[/C][/ROW]
[ROW][C]31[/C][C]19[/C][C]20.3949391092525[/C][C]-0.39241877855618[/C][C]17.9974796693037[/C][C]1.39493910925251[/C][/ROW]
[ROW][C]32[/C][C]18.1[/C][C]18.4843227954527[/C][C]-0.391929870174484[/C][C]18.1076070747218[/C][C]0.384322795452725[/C][/ROW]
[ROW][C]33[/C][C]17.8[/C][C]18.0570404320088[/C][C]-0.67477491214863[/C][C]18.2177344801398[/C][C]0.257040432008782[/C][/ROW]
[ROW][C]34[/C][C]21.5[/C][C]23.1879985965665[/C][C]1.52834315224783[/C][C]18.2836582511857[/C][C]1.68799859656647[/C][/ROW]
[ROW][C]35[/C][C]17.1[/C][C]16.0689576107956[/C][C]-0.218539633027132[/C][C]18.3495820222315[/C][C]-1.03104238920441[/C][/ROW]
[ROW][C]36[/C][C]18.7[/C][C]19.379006102569[/C][C]-0.34524422560514[/C][C]18.3662381230361[/C][C]0.679006102569012[/C][/ROW]
[ROW][C]37[/C][C]19[/C][C]18.2845080638287[/C][C]1.33259771233063[/C][C]18.3828942238407[/C][C]-0.715491936171329[/C][/ROW]
[ROW][C]38[/C][C]16.4[/C][C]15.3334078041516[/C][C]-0.905713320648984[/C][C]18.3723055164974[/C][C]-1.0665921958484[/C][/ROW]
[ROW][C]39[/C][C]16.9[/C][C]17.1651121326185[/C][C]-1.72682894177256[/C][C]18.3617168091541[/C][C]0.265112132618494[/C][/ROW]
[ROW][C]40[/C][C]18.6[/C][C]18.2784250678269[/C][C]0.535534824268406[/C][C]18.3860401079047[/C][C]-0.321574932173117[/C][/ROW]
[ROW][C]41[/C][C]19.3[/C][C]19.2084042650973[/C][C]0.981232328247307[/C][C]18.4103634066554[/C][C]-0.0915957349026613[/C][/ROW]
[ROW][C]42[/C][C]19.4[/C][C]20.0293746575068[/C][C]0.277741066587176[/C][C]18.4928842759061[/C][C]0.629374657506752[/C][/ROW]
[ROW][C]43[/C][C]17.6[/C][C]17.0170136333994[/C][C]-0.39241877855618[/C][C]18.5754051451568[/C][C]-0.582986366600601[/C][/ROW]
[ROW][C]44[/C][C]18.6[/C][C]18.9012169327382[/C][C]-0.391929870174484[/C][C]18.6907129374363[/C][C]0.301216932738232[/C][/ROW]
[ROW][C]45[/C][C]18.1[/C][C]18.0687541824329[/C][C]-0.67477491214863[/C][C]18.8060207297157[/C][C]-0.0312458175670862[/C][/ROW]
[ROW][C]46[/C][C]20.4[/C][C]20.3397923709642[/C][C]1.52834315224783[/C][C]18.931864476788[/C][C]-0.0602076290358333[/C][/ROW]
[ROW][C]47[/C][C]18.1[/C][C]17.3608314091669[/C][C]-0.218539633027132[/C][C]19.0577082238603[/C][C]-0.739168590833149[/C][/ROW]
[ROW][C]48[/C][C]19.6[/C][C]20.3243293670562[/C][C]-0.34524422560514[/C][C]19.2209148585490[/C][C]0.724329367056168[/C][/ROW]
[ROW][C]49[/C][C]19.9[/C][C]19.0832807944317[/C][C]1.33259771233063[/C][C]19.3841214932377[/C][C]-0.816719205568287[/C][/ROW]
[ROW][C]50[/C][C]19.2[/C][C]19.7011018067437[/C][C]-0.905713320648984[/C][C]19.6046115139053[/C][C]0.501101806743716[/C][/ROW]
[ROW][C]51[/C][C]17.8[/C][C]17.5017274071997[/C][C]-1.72682894177256[/C][C]19.8251015345729[/C][C]-0.298272592800316[/C][/ROW]
[ROW][C]52[/C][C]19.2[/C][C]17.7754513957340[/C][C]0.535534824268406[/C][C]20.0890137799976[/C][C]-1.42454860426596[/C][/ROW]
[ROW][C]53[/C][C]22[/C][C]22.6658416463305[/C][C]0.981232328247307[/C][C]20.3529260254222[/C][C]0.66584164633047[/C][/ROW]
[ROW][C]54[/C][C]21.1[/C][C]21.2720538074894[/C][C]0.277741066587176[/C][C]20.6502051259234[/C][C]0.172053807489377[/C][/ROW]
[ROW][C]55[/C][C]19.5[/C][C]18.4449345521315[/C][C]-0.39241877855618[/C][C]20.9474842264247[/C][C]-1.05506544786849[/C][/ROW]
[ROW][C]56[/C][C]22.2[/C][C]23.5440808285770[/C][C]-0.391929870174484[/C][C]21.2478490415974[/C][C]1.34408082857703[/C][/ROW]
[ROW][C]57[/C][C]20.9[/C][C]20.9265610553784[/C][C]-0.67477491214863[/C][C]21.5482138567702[/C][C]0.0265610553784086[/C][/ROW]
[ROW][C]58[/C][C]22.2[/C][C]21.1001013417357[/C][C]1.52834315224783[/C][C]21.7715555060164[/C][C]-1.09989865826427[/C][/ROW]
[ROW][C]59[/C][C]23.5[/C][C]25.2236424777645[/C][C]-0.218539633027132[/C][C]21.9948971552627[/C][C]1.72364247776447[/C][/ROW]
[ROW][C]60[/C][C]21.5[/C][C]21.3556752846334[/C][C]-0.34524422560514[/C][C]21.9895689409717[/C][C]-0.144324715366604[/C][/ROW]
[ROW][C]61[/C][C]24.3[/C][C]25.2831615609885[/C][C]1.33259771233063[/C][C]21.9842407266808[/C][C]0.983161560988538[/C][/ROW]
[ROW][C]62[/C][C]22.8[/C][C]24.785444527483[/C][C]-0.905713320648984[/C][C]21.720268793166[/C][C]1.98544452748301[/C][/ROW]
[ROW][C]63[/C][C]20.3[/C][C]20.8705320821214[/C][C]-1.72682894177256[/C][C]21.4562968596511[/C][C]0.570532082121442[/C][/ROW]
[ROW][C]64[/C][C]23.7[/C][C]25.9191340878657[/C][C]0.535534824268406[/C][C]20.9453310878659[/C][C]2.21913408786573[/C][/ROW]
[ROW][C]65[/C][C]23.3[/C][C]25.1844023556721[/C][C]0.981232328247307[/C][C]20.4343653160806[/C][C]1.8844023556721[/C][/ROW]
[ROW][C]66[/C][C]19.6[/C][C]19.0508617942795[/C][C]0.277741066587176[/C][C]19.8713971391333[/C][C]-0.549138205720489[/C][/ROW]
[ROW][C]67[/C][C]18[/C][C]17.0839898163701[/C][C]-0.39241877855618[/C][C]19.3084289621860[/C][C]-0.916010183629854[/C][/ROW]
[ROW][C]68[/C][C]17.3[/C][C]16.2666789206518[/C][C]-0.391929870174484[/C][C]18.7252509495227[/C][C]-1.03332107934820[/C][/ROW]
[ROW][C]69[/C][C]16.8[/C][C]16.1327019752893[/C][C]-0.67477491214863[/C][C]18.1420729368593[/C][C]-0.667298024710696[/C][/ROW]
[ROW][C]70[/C][C]18.2[/C][C]17.3342280880568[/C][C]1.52834315224783[/C][C]17.5374287596954[/C][C]-0.865771911943231[/C][/ROW]
[ROW][C]71[/C][C]16.5[/C][C]16.2857550504957[/C][C]-0.218539633027132[/C][C]16.9327845825315[/C][C]-0.214244949504337[/C][/ROW]
[ROW][C]72[/C][C]16[/C][C]16.0229262480767[/C][C]-0.34524422560514[/C][C]16.3223179775284[/C][C]0.0229262480767396[/C][/ROW]
[ROW][C]73[/C][C]18.4[/C][C]19.7555509151440[/C][C]1.33259771233063[/C][C]15.7118513725253[/C][C]1.35555091514404[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63241&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63241&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
114.213.55827324294211.3325977123306313.5091290447273-0.64172675705792
213.514.2025405798360-0.90571332064898413.70317274081300.702540579836022
311.911.6296125048739-1.7268289417725613.8972164368986-0.270387495126068
414.614.57677247394090.53553482426840614.0876927017907-0.0232275260590900
515.615.94059870507000.98123232824730714.27816896668270.340598705069956
614.113.45768877865270.27774106658717614.4645701547601-0.642311221347272
714.915.5414474357187-0.3924187785561814.65097134283750.641447435718725
814.213.9598532280381-0.39192987017448414.8320766421364-0.240146771961944
914.614.8615929707132-0.6747749121486315.01318194143540.261592970713227
1017.217.69514410450361.5283431522478315.17651274324860.495144104503582
1115.415.6786960879654-0.21853963302713215.33984354506180.278696087965365
1214.313.4554052457377-0.3452442256051415.4898389798674-0.844594754262257
1317.518.02756787299631.3325977123306315.63983441467300.527567872996347
1414.514.1253009896989-0.90571332064898415.7804123309501-0.374699010301121
1514.414.6058386945454-1.7268289417725615.92099024722720.205838694545379
1616.616.60620247171620.53553482426840616.05826270401530.00620247171624655
1716.716.22323251094920.98123232824730716.1955351608035-0.476767489050816
1816.616.60272395964400.27774106658717616.31953497376880.00272395964397987
1916.917.748883991822-0.3924187785561816.44353478673420.848883991821992
2015.715.2506556592702-0.39192987017448416.5412742109043-0.449344340729844
2116.416.8357612770742-0.6747749121486316.63901363507450.435761277074167
2218.418.55084901897441.5283431522478316.72080782877770.150849018974441
2316.917.2159376105461-0.21853963302713216.8026020224810.31593761054614
2416.516.4262753711937-0.3452442256051416.9189688544115-0.0737246288063389
2518.318.23206660132741.3325977123306317.0353356863420-0.0679333986725936
2615.113.9114290049310-0.90571332064898417.1942843157180-1.18857099506904
2715.715.7735959966785-1.7268289417725617.35323294509410.0735959966784918
2818.118.13634830466210.53553482426840617.52811687106950.0363483046621162
2916.814.91576687470780.98123232824730717.7030007970449-1.88423312529220
3018.919.67201870023850.27774106658717617.85024023317430.772018700238544
311920.3949391092525-0.3924187785561817.99747966930371.39493910925251
3218.118.4843227954527-0.39192987017448418.10760707472180.384322795452725
3317.818.0570404320088-0.6747749121486318.21773448013980.257040432008782
3421.523.18799859656651.5283431522478318.28365825118571.68799859656647
3517.116.0689576107956-0.21853963302713218.3495820222315-1.03104238920441
3618.719.379006102569-0.3452442256051418.36623812303610.679006102569012
371918.28450806382871.3325977123306318.3828942238407-0.715491936171329
3816.415.3334078041516-0.90571332064898418.3723055164974-1.0665921958484
3916.917.1651121326185-1.7268289417725618.36171680915410.265112132618494
4018.618.27842506782690.53553482426840618.3860401079047-0.321574932173117
4119.319.20840426509730.98123232824730718.4103634066554-0.0915957349026613
4219.420.02937465750680.27774106658717618.49288427590610.629374657506752
4317.617.0170136333994-0.3924187785561818.5754051451568-0.582986366600601
4418.618.9012169327382-0.39192987017448418.69071293743630.301216932738232
4518.118.0687541824329-0.6747749121486318.8060207297157-0.0312458175670862
4620.420.33979237096421.5283431522478318.931864476788-0.0602076290358333
4718.117.3608314091669-0.21853963302713219.0577082238603-0.739168590833149
4819.620.3243293670562-0.3452442256051419.22091485854900.724329367056168
4919.919.08328079443171.3325977123306319.3841214932377-0.816719205568287
5019.219.7011018067437-0.90571332064898419.60461151390530.501101806743716
5117.817.5017274071997-1.7268289417725619.8251015345729-0.298272592800316
5219.217.77545139573400.53553482426840620.0890137799976-1.42454860426596
532222.66584164633050.98123232824730720.35292602542220.66584164633047
5421.121.27205380748940.27774106658717620.65020512592340.172053807489377
5519.518.4449345521315-0.3924187785561820.9474842264247-1.05506544786849
5622.223.5440808285770-0.39192987017448421.24784904159741.34408082857703
5720.920.9265610553784-0.6747749121486321.54821385677020.0265610553784086
5822.221.10010134173571.5283431522478321.7715555060164-1.09989865826427
5923.525.2236424777645-0.21853963302713221.99489715526271.72364247776447
6021.521.3556752846334-0.3452442256051421.9895689409717-0.144324715366604
6124.325.28316156098851.3325977123306321.98424072668080.983161560988538
6222.824.785444527483-0.90571332064898421.7202687931661.98544452748301
6320.320.8705320821214-1.7268289417725621.45629685965110.570532082121442
6423.725.91913408786570.53553482426840620.94533108786592.21913408786573
6523.325.18440235567210.98123232824730720.43436531608061.8844023556721
6619.619.05086179427950.27774106658717619.8713971391333-0.549138205720489
671817.0839898163701-0.3924187785561819.3084289621860-0.916010183629854
6817.316.2666789206518-0.39192987017448418.7252509495227-1.03332107934820
6916.816.1327019752893-0.6747749121486318.1420729368593-0.667298024710696
7018.217.33422808805681.5283431522478317.5374287596954-0.865771911943231
7116.516.2857550504957-0.21853963302713216.9327845825315-0.214244949504337
721616.0229262480767-0.3452442256051416.32231797752840.0229262480767396
7318.419.75555091514401.3325977123306315.71185137252531.35555091514404



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
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')