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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 10:24:30 -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/t12599475028e5tknb53cixtp3.htm/, Retrieved Sun, 28 Apr 2024 04:24:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63939, Retrieved Sun, 28 Apr 2024 04:24:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Decomposition by Loess] [] [2009-11-27 15:00:29] [b98453cac15ba1066b407e146608df68]
-    D      [Decomposition by Loess] [] [2009-12-04 17:24:30] [d1856923bab8a0db5ebd860815c7444f] [Current]
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Dataseries X:
3.2
1.9
0
0.6
0.2
0.9
2.4
4.7
9.4
12.5
15.8
18.2
16.8
17.3
19.3
17.9
20.2
18.7
20.1
18.2
18.4
18.2
18.9
19.9
21.3
20
19.5
19.6
20.9
21
19.9
19.6
20.9
21.7
22.9
21.5
21.3
23.5
21.6
24.5
22.2
23.5
20.9
20.7
18.1
17.1
14.8
13.8
15.2
16
17.6
15
15
16.3
19.4
21.3
20.5
21.1
21.6
22.6




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63939&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63939&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63939&T=0

As an alternative you can also use a QR Code:  

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

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







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

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 601 & 0 & 61 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63939&T=1

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Parameters[/C][/ROW]
[ROW][C]Component[/C][C]Window[/C][C]Degree[/C][C]Jump[/C][/ROW]
[ROW][C]Seasonal[/C][C]601[/C][C]0[/C][C]61[/C][/ROW]
[ROW][C]Trend[/C][C]19[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]Low-pass[/C][C]13[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63939&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63939&T=1

As an alternative you can also use a QR Code:  

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

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







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
13.27.60840165608070.956435326458233-2.164836982538934.40840165608070
21.93.977969621047760.611960317885162-0.7899299389329222.07796962104776
30-0.532462231003066-0.05251487367001930.584977104673086-0.532462231003066
40.6-0.25950548872391-0.5492460488251752.00875153754909-0.85950548872391
50.2-2.2465484458311-0.7859775245939843.43252597042509-2.4465484458311
60.9-2.38689985563016-0.6774848998159584.86438475544612-3.28689985563016
72.4-1.00725014139458-0.4889933990725766.29624354046716-3.40725014139458
84.72.05827709532959-0.3752889000767757.71701180474719-2.64172290467041
99.49.72380387459762-0.06158394362483359.137780069027220.323803874597619
1012.514.01455213267780.25270214382441210.73274572349781.51455213267781
1115.818.68530036461760.5869882574140712.32771137796832.88530036461760
1218.221.99271713451370.58300384871185713.82427901677443.7927171345137
1316.817.32271801796120.95643532645823315.32084665558050.522718017961219
1417.317.61770524028350.61196031788516216.37033444183130.31770524028353
1519.321.2326926455880-0.052514873670019317.41982222808211.93269264558795
1617.918.4116668251766-0.54924604882517517.93757922364860.51166682517659
1720.222.7306413053789-0.78597752459398418.45533621921512.53064130537889
1818.719.3854733698770-0.67748489981595818.69201152993890.685473369877034
1920.121.7603065584098-0.48899339907257618.92868684066281.66030655840982
2018.217.7126145814614-0.37528890007677519.0626743186153-0.487385418538562
2118.417.6649221470569-0.061583943624833519.1966617965679-0.735077852943082
2218.216.86604918097670.25270214382441219.2812486751989-1.33395081902333
2318.917.8471761887560.5869882574140719.3658355538299-1.05282381124399
2419.919.73374004474570.58300384871185719.4832561065424-0.166259955254286
2521.322.04288801428680.95643532645823319.60067665925490.74288801428683
262019.60425238239450.61196031788516219.7837872997203-0.39574761760548
2719.519.0856169334843-0.052514873670019319.9668979401857-0.414383066515679
2819.619.5582304872347-0.54924604882517520.1910155615905-0.0417695127653062
2920.922.1708443415987-0.78597752459398420.41513318299531.27084434159872
302122.0773335307296-0.67748489981595820.60015136908641.07733353072960
3119.919.5038238438951-0.48899339907257620.7851695551774-0.396176156104865
3219.618.6189112959071-0.37528890007677520.9563776041697-0.98108870409289
3320.920.7339982904629-0.061583943624833521.1275856531619-0.166001709537067
3421.721.80779383467250.25270214382441221.33950402150310.107793834672481
3522.923.66158935274160.5869882574140721.55142238984430.761589352741613
3621.520.67376504681020.58300384871185721.7432311044779-0.826234953189765
3721.319.70852485443030.95643532645823321.9350398191115-1.59147514556973
3823.524.42901649334150.61196031788516221.95902318877330.929016493341521
3921.621.2695083152349-0.052514873670019321.9830065584351-0.330491684765104
4024.527.8798187467971-0.54924604882517521.66942730202813.37981874679709
4122.223.8301294789729-0.78597752459398421.35584804562101.63012947897294
4223.526.9210871757855-0.67748489981595820.75639772403053.4210871757855
4320.922.1320459966327-0.48899339907257620.15694740243991.23204599663270
4420.722.3170465835931-0.37528890007677519.45824231648371.61704658359312
4518.117.5020467130974-0.061583943624833518.7595372305274-0.597953286902609
4617.115.87129128932640.25270214382441218.0760065668492-1.22870871067365
4714.811.62053583941490.5869882574140717.3924759031710-3.1794641605851
4813.810.05183362190260.58300384871185716.9651625293855-3.7481663780974
4915.212.90571551794170.95643532645823316.5378491556001-2.29428448205830
501614.80844327111640.61196031788516216.5795964109984-1.19155672888355
5117.618.6311712072733-0.052514873670019316.62134366639671.0311712072733
521513.358999009526-0.54924604882517517.1902470392992-1.64100099047401
531513.0268271123923-0.78597752459398417.7591504122016-1.97317288760765
5416.314.9430435719134-0.67748489981595818.3344413279025-1.35695642808658
5519.420.3792611554691-0.48899339907257618.90973224360340.979261155469128
5621.323.4554012939674-0.37528890007677519.51988760610942.15540129396743
5720.520.9315409750096-0.061583943624833520.13004296861530.431540975009579
5821.121.17896369330230.25270214382441220.76833416287330.0789636933023097
5921.621.20638638545460.5869882574140721.4066253571313-0.393613614545377
6022.622.56029458834970.58300384871185722.0567015629385-0.039705411650349

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 3.2 & 7.6084016560807 & 0.956435326458233 & -2.16483698253893 & 4.40840165608070 \tabularnewline
2 & 1.9 & 3.97796962104776 & 0.611960317885162 & -0.789929938932922 & 2.07796962104776 \tabularnewline
3 & 0 & -0.532462231003066 & -0.0525148736700193 & 0.584977104673086 & -0.532462231003066 \tabularnewline
4 & 0.6 & -0.25950548872391 & -0.549246048825175 & 2.00875153754909 & -0.85950548872391 \tabularnewline
5 & 0.2 & -2.2465484458311 & -0.785977524593984 & 3.43252597042509 & -2.4465484458311 \tabularnewline
6 & 0.9 & -2.38689985563016 & -0.677484899815958 & 4.86438475544612 & -3.28689985563016 \tabularnewline
7 & 2.4 & -1.00725014139458 & -0.488993399072576 & 6.29624354046716 & -3.40725014139458 \tabularnewline
8 & 4.7 & 2.05827709532959 & -0.375288900076775 & 7.71701180474719 & -2.64172290467041 \tabularnewline
9 & 9.4 & 9.72380387459762 & -0.0615839436248335 & 9.13778006902722 & 0.323803874597619 \tabularnewline
10 & 12.5 & 14.0145521326778 & 0.252702143824412 & 10.7327457234978 & 1.51455213267781 \tabularnewline
11 & 15.8 & 18.6853003646176 & 0.58698825741407 & 12.3277113779683 & 2.88530036461760 \tabularnewline
12 & 18.2 & 21.9927171345137 & 0.583003848711857 & 13.8242790167744 & 3.7927171345137 \tabularnewline
13 & 16.8 & 17.3227180179612 & 0.956435326458233 & 15.3208466555805 & 0.522718017961219 \tabularnewline
14 & 17.3 & 17.6177052402835 & 0.611960317885162 & 16.3703344418313 & 0.31770524028353 \tabularnewline
15 & 19.3 & 21.2326926455880 & -0.0525148736700193 & 17.4198222280821 & 1.93269264558795 \tabularnewline
16 & 17.9 & 18.4116668251766 & -0.549246048825175 & 17.9375792236486 & 0.51166682517659 \tabularnewline
17 & 20.2 & 22.7306413053789 & -0.785977524593984 & 18.4553362192151 & 2.53064130537889 \tabularnewline
18 & 18.7 & 19.3854733698770 & -0.677484899815958 & 18.6920115299389 & 0.685473369877034 \tabularnewline
19 & 20.1 & 21.7603065584098 & -0.488993399072576 & 18.9286868406628 & 1.66030655840982 \tabularnewline
20 & 18.2 & 17.7126145814614 & -0.375288900076775 & 19.0626743186153 & -0.487385418538562 \tabularnewline
21 & 18.4 & 17.6649221470569 & -0.0615839436248335 & 19.1966617965679 & -0.735077852943082 \tabularnewline
22 & 18.2 & 16.8660491809767 & 0.252702143824412 & 19.2812486751989 & -1.33395081902333 \tabularnewline
23 & 18.9 & 17.847176188756 & 0.58698825741407 & 19.3658355538299 & -1.05282381124399 \tabularnewline
24 & 19.9 & 19.7337400447457 & 0.583003848711857 & 19.4832561065424 & -0.166259955254286 \tabularnewline
25 & 21.3 & 22.0428880142868 & 0.956435326458233 & 19.6006766592549 & 0.74288801428683 \tabularnewline
26 & 20 & 19.6042523823945 & 0.611960317885162 & 19.7837872997203 & -0.39574761760548 \tabularnewline
27 & 19.5 & 19.0856169334843 & -0.0525148736700193 & 19.9668979401857 & -0.414383066515679 \tabularnewline
28 & 19.6 & 19.5582304872347 & -0.549246048825175 & 20.1910155615905 & -0.0417695127653062 \tabularnewline
29 & 20.9 & 22.1708443415987 & -0.785977524593984 & 20.4151331829953 & 1.27084434159872 \tabularnewline
30 & 21 & 22.0773335307296 & -0.677484899815958 & 20.6001513690864 & 1.07733353072960 \tabularnewline
31 & 19.9 & 19.5038238438951 & -0.488993399072576 & 20.7851695551774 & -0.396176156104865 \tabularnewline
32 & 19.6 & 18.6189112959071 & -0.375288900076775 & 20.9563776041697 & -0.98108870409289 \tabularnewline
33 & 20.9 & 20.7339982904629 & -0.0615839436248335 & 21.1275856531619 & -0.166001709537067 \tabularnewline
34 & 21.7 & 21.8077938346725 & 0.252702143824412 & 21.3395040215031 & 0.107793834672481 \tabularnewline
35 & 22.9 & 23.6615893527416 & 0.58698825741407 & 21.5514223898443 & 0.761589352741613 \tabularnewline
36 & 21.5 & 20.6737650468102 & 0.583003848711857 & 21.7432311044779 & -0.826234953189765 \tabularnewline
37 & 21.3 & 19.7085248544303 & 0.956435326458233 & 21.9350398191115 & -1.59147514556973 \tabularnewline
38 & 23.5 & 24.4290164933415 & 0.611960317885162 & 21.9590231887733 & 0.929016493341521 \tabularnewline
39 & 21.6 & 21.2695083152349 & -0.0525148736700193 & 21.9830065584351 & -0.330491684765104 \tabularnewline
40 & 24.5 & 27.8798187467971 & -0.549246048825175 & 21.6694273020281 & 3.37981874679709 \tabularnewline
41 & 22.2 & 23.8301294789729 & -0.785977524593984 & 21.3558480456210 & 1.63012947897294 \tabularnewline
42 & 23.5 & 26.9210871757855 & -0.677484899815958 & 20.7563977240305 & 3.4210871757855 \tabularnewline
43 & 20.9 & 22.1320459966327 & -0.488993399072576 & 20.1569474024399 & 1.23204599663270 \tabularnewline
44 & 20.7 & 22.3170465835931 & -0.375288900076775 & 19.4582423164837 & 1.61704658359312 \tabularnewline
45 & 18.1 & 17.5020467130974 & -0.0615839436248335 & 18.7595372305274 & -0.597953286902609 \tabularnewline
46 & 17.1 & 15.8712912893264 & 0.252702143824412 & 18.0760065668492 & -1.22870871067365 \tabularnewline
47 & 14.8 & 11.6205358394149 & 0.58698825741407 & 17.3924759031710 & -3.1794641605851 \tabularnewline
48 & 13.8 & 10.0518336219026 & 0.583003848711857 & 16.9651625293855 & -3.7481663780974 \tabularnewline
49 & 15.2 & 12.9057155179417 & 0.956435326458233 & 16.5378491556001 & -2.29428448205830 \tabularnewline
50 & 16 & 14.8084432711164 & 0.611960317885162 & 16.5795964109984 & -1.19155672888355 \tabularnewline
51 & 17.6 & 18.6311712072733 & -0.0525148736700193 & 16.6213436663967 & 1.0311712072733 \tabularnewline
52 & 15 & 13.358999009526 & -0.549246048825175 & 17.1902470392992 & -1.64100099047401 \tabularnewline
53 & 15 & 13.0268271123923 & -0.785977524593984 & 17.7591504122016 & -1.97317288760765 \tabularnewline
54 & 16.3 & 14.9430435719134 & -0.677484899815958 & 18.3344413279025 & -1.35695642808658 \tabularnewline
55 & 19.4 & 20.3792611554691 & -0.488993399072576 & 18.9097322436034 & 0.979261155469128 \tabularnewline
56 & 21.3 & 23.4554012939674 & -0.375288900076775 & 19.5198876061094 & 2.15540129396743 \tabularnewline
57 & 20.5 & 20.9315409750096 & -0.0615839436248335 & 20.1300429686153 & 0.431540975009579 \tabularnewline
58 & 21.1 & 21.1789636933023 & 0.252702143824412 & 20.7683341628733 & 0.0789636933023097 \tabularnewline
59 & 21.6 & 21.2063863854546 & 0.58698825741407 & 21.4066253571313 & -0.393613614545377 \tabularnewline
60 & 22.6 & 22.5602945883497 & 0.583003848711857 & 22.0567015629385 & -0.039705411650349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63939&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]3.2[/C][C]7.6084016560807[/C][C]0.956435326458233[/C][C]-2.16483698253893[/C][C]4.40840165608070[/C][/ROW]
[ROW][C]2[/C][C]1.9[/C][C]3.97796962104776[/C][C]0.611960317885162[/C][C]-0.789929938932922[/C][C]2.07796962104776[/C][/ROW]
[ROW][C]3[/C][C]0[/C][C]-0.532462231003066[/C][C]-0.0525148736700193[/C][C]0.584977104673086[/C][C]-0.532462231003066[/C][/ROW]
[ROW][C]4[/C][C]0.6[/C][C]-0.25950548872391[/C][C]-0.549246048825175[/C][C]2.00875153754909[/C][C]-0.85950548872391[/C][/ROW]
[ROW][C]5[/C][C]0.2[/C][C]-2.2465484458311[/C][C]-0.785977524593984[/C][C]3.43252597042509[/C][C]-2.4465484458311[/C][/ROW]
[ROW][C]6[/C][C]0.9[/C][C]-2.38689985563016[/C][C]-0.677484899815958[/C][C]4.86438475544612[/C][C]-3.28689985563016[/C][/ROW]
[ROW][C]7[/C][C]2.4[/C][C]-1.00725014139458[/C][C]-0.488993399072576[/C][C]6.29624354046716[/C][C]-3.40725014139458[/C][/ROW]
[ROW][C]8[/C][C]4.7[/C][C]2.05827709532959[/C][C]-0.375288900076775[/C][C]7.71701180474719[/C][C]-2.64172290467041[/C][/ROW]
[ROW][C]9[/C][C]9.4[/C][C]9.72380387459762[/C][C]-0.0615839436248335[/C][C]9.13778006902722[/C][C]0.323803874597619[/C][/ROW]
[ROW][C]10[/C][C]12.5[/C][C]14.0145521326778[/C][C]0.252702143824412[/C][C]10.7327457234978[/C][C]1.51455213267781[/C][/ROW]
[ROW][C]11[/C][C]15.8[/C][C]18.6853003646176[/C][C]0.58698825741407[/C][C]12.3277113779683[/C][C]2.88530036461760[/C][/ROW]
[ROW][C]12[/C][C]18.2[/C][C]21.9927171345137[/C][C]0.583003848711857[/C][C]13.8242790167744[/C][C]3.7927171345137[/C][/ROW]
[ROW][C]13[/C][C]16.8[/C][C]17.3227180179612[/C][C]0.956435326458233[/C][C]15.3208466555805[/C][C]0.522718017961219[/C][/ROW]
[ROW][C]14[/C][C]17.3[/C][C]17.6177052402835[/C][C]0.611960317885162[/C][C]16.3703344418313[/C][C]0.31770524028353[/C][/ROW]
[ROW][C]15[/C][C]19.3[/C][C]21.2326926455880[/C][C]-0.0525148736700193[/C][C]17.4198222280821[/C][C]1.93269264558795[/C][/ROW]
[ROW][C]16[/C][C]17.9[/C][C]18.4116668251766[/C][C]-0.549246048825175[/C][C]17.9375792236486[/C][C]0.51166682517659[/C][/ROW]
[ROW][C]17[/C][C]20.2[/C][C]22.7306413053789[/C][C]-0.785977524593984[/C][C]18.4553362192151[/C][C]2.53064130537889[/C][/ROW]
[ROW][C]18[/C][C]18.7[/C][C]19.3854733698770[/C][C]-0.677484899815958[/C][C]18.6920115299389[/C][C]0.685473369877034[/C][/ROW]
[ROW][C]19[/C][C]20.1[/C][C]21.7603065584098[/C][C]-0.488993399072576[/C][C]18.9286868406628[/C][C]1.66030655840982[/C][/ROW]
[ROW][C]20[/C][C]18.2[/C][C]17.7126145814614[/C][C]-0.375288900076775[/C][C]19.0626743186153[/C][C]-0.487385418538562[/C][/ROW]
[ROW][C]21[/C][C]18.4[/C][C]17.6649221470569[/C][C]-0.0615839436248335[/C][C]19.1966617965679[/C][C]-0.735077852943082[/C][/ROW]
[ROW][C]22[/C][C]18.2[/C][C]16.8660491809767[/C][C]0.252702143824412[/C][C]19.2812486751989[/C][C]-1.33395081902333[/C][/ROW]
[ROW][C]23[/C][C]18.9[/C][C]17.847176188756[/C][C]0.58698825741407[/C][C]19.3658355538299[/C][C]-1.05282381124399[/C][/ROW]
[ROW][C]24[/C][C]19.9[/C][C]19.7337400447457[/C][C]0.583003848711857[/C][C]19.4832561065424[/C][C]-0.166259955254286[/C][/ROW]
[ROW][C]25[/C][C]21.3[/C][C]22.0428880142868[/C][C]0.956435326458233[/C][C]19.6006766592549[/C][C]0.74288801428683[/C][/ROW]
[ROW][C]26[/C][C]20[/C][C]19.6042523823945[/C][C]0.611960317885162[/C][C]19.7837872997203[/C][C]-0.39574761760548[/C][/ROW]
[ROW][C]27[/C][C]19.5[/C][C]19.0856169334843[/C][C]-0.0525148736700193[/C][C]19.9668979401857[/C][C]-0.414383066515679[/C][/ROW]
[ROW][C]28[/C][C]19.6[/C][C]19.5582304872347[/C][C]-0.549246048825175[/C][C]20.1910155615905[/C][C]-0.0417695127653062[/C][/ROW]
[ROW][C]29[/C][C]20.9[/C][C]22.1708443415987[/C][C]-0.785977524593984[/C][C]20.4151331829953[/C][C]1.27084434159872[/C][/ROW]
[ROW][C]30[/C][C]21[/C][C]22.0773335307296[/C][C]-0.677484899815958[/C][C]20.6001513690864[/C][C]1.07733353072960[/C][/ROW]
[ROW][C]31[/C][C]19.9[/C][C]19.5038238438951[/C][C]-0.488993399072576[/C][C]20.7851695551774[/C][C]-0.396176156104865[/C][/ROW]
[ROW][C]32[/C][C]19.6[/C][C]18.6189112959071[/C][C]-0.375288900076775[/C][C]20.9563776041697[/C][C]-0.98108870409289[/C][/ROW]
[ROW][C]33[/C][C]20.9[/C][C]20.7339982904629[/C][C]-0.0615839436248335[/C][C]21.1275856531619[/C][C]-0.166001709537067[/C][/ROW]
[ROW][C]34[/C][C]21.7[/C][C]21.8077938346725[/C][C]0.252702143824412[/C][C]21.3395040215031[/C][C]0.107793834672481[/C][/ROW]
[ROW][C]35[/C][C]22.9[/C][C]23.6615893527416[/C][C]0.58698825741407[/C][C]21.5514223898443[/C][C]0.761589352741613[/C][/ROW]
[ROW][C]36[/C][C]21.5[/C][C]20.6737650468102[/C][C]0.583003848711857[/C][C]21.7432311044779[/C][C]-0.826234953189765[/C][/ROW]
[ROW][C]37[/C][C]21.3[/C][C]19.7085248544303[/C][C]0.956435326458233[/C][C]21.9350398191115[/C][C]-1.59147514556973[/C][/ROW]
[ROW][C]38[/C][C]23.5[/C][C]24.4290164933415[/C][C]0.611960317885162[/C][C]21.9590231887733[/C][C]0.929016493341521[/C][/ROW]
[ROW][C]39[/C][C]21.6[/C][C]21.2695083152349[/C][C]-0.0525148736700193[/C][C]21.9830065584351[/C][C]-0.330491684765104[/C][/ROW]
[ROW][C]40[/C][C]24.5[/C][C]27.8798187467971[/C][C]-0.549246048825175[/C][C]21.6694273020281[/C][C]3.37981874679709[/C][/ROW]
[ROW][C]41[/C][C]22.2[/C][C]23.8301294789729[/C][C]-0.785977524593984[/C][C]21.3558480456210[/C][C]1.63012947897294[/C][/ROW]
[ROW][C]42[/C][C]23.5[/C][C]26.9210871757855[/C][C]-0.677484899815958[/C][C]20.7563977240305[/C][C]3.4210871757855[/C][/ROW]
[ROW][C]43[/C][C]20.9[/C][C]22.1320459966327[/C][C]-0.488993399072576[/C][C]20.1569474024399[/C][C]1.23204599663270[/C][/ROW]
[ROW][C]44[/C][C]20.7[/C][C]22.3170465835931[/C][C]-0.375288900076775[/C][C]19.4582423164837[/C][C]1.61704658359312[/C][/ROW]
[ROW][C]45[/C][C]18.1[/C][C]17.5020467130974[/C][C]-0.0615839436248335[/C][C]18.7595372305274[/C][C]-0.597953286902609[/C][/ROW]
[ROW][C]46[/C][C]17.1[/C][C]15.8712912893264[/C][C]0.252702143824412[/C][C]18.0760065668492[/C][C]-1.22870871067365[/C][/ROW]
[ROW][C]47[/C][C]14.8[/C][C]11.6205358394149[/C][C]0.58698825741407[/C][C]17.3924759031710[/C][C]-3.1794641605851[/C][/ROW]
[ROW][C]48[/C][C]13.8[/C][C]10.0518336219026[/C][C]0.583003848711857[/C][C]16.9651625293855[/C][C]-3.7481663780974[/C][/ROW]
[ROW][C]49[/C][C]15.2[/C][C]12.9057155179417[/C][C]0.956435326458233[/C][C]16.5378491556001[/C][C]-2.29428448205830[/C][/ROW]
[ROW][C]50[/C][C]16[/C][C]14.8084432711164[/C][C]0.611960317885162[/C][C]16.5795964109984[/C][C]-1.19155672888355[/C][/ROW]
[ROW][C]51[/C][C]17.6[/C][C]18.6311712072733[/C][C]-0.0525148736700193[/C][C]16.6213436663967[/C][C]1.0311712072733[/C][/ROW]
[ROW][C]52[/C][C]15[/C][C]13.358999009526[/C][C]-0.549246048825175[/C][C]17.1902470392992[/C][C]-1.64100099047401[/C][/ROW]
[ROW][C]53[/C][C]15[/C][C]13.0268271123923[/C][C]-0.785977524593984[/C][C]17.7591504122016[/C][C]-1.97317288760765[/C][/ROW]
[ROW][C]54[/C][C]16.3[/C][C]14.9430435719134[/C][C]-0.677484899815958[/C][C]18.3344413279025[/C][C]-1.35695642808658[/C][/ROW]
[ROW][C]55[/C][C]19.4[/C][C]20.3792611554691[/C][C]-0.488993399072576[/C][C]18.9097322436034[/C][C]0.979261155469128[/C][/ROW]
[ROW][C]56[/C][C]21.3[/C][C]23.4554012939674[/C][C]-0.375288900076775[/C][C]19.5198876061094[/C][C]2.15540129396743[/C][/ROW]
[ROW][C]57[/C][C]20.5[/C][C]20.9315409750096[/C][C]-0.0615839436248335[/C][C]20.1300429686153[/C][C]0.431540975009579[/C][/ROW]
[ROW][C]58[/C][C]21.1[/C][C]21.1789636933023[/C][C]0.252702143824412[/C][C]20.7683341628733[/C][C]0.0789636933023097[/C][/ROW]
[ROW][C]59[/C][C]21.6[/C][C]21.2063863854546[/C][C]0.58698825741407[/C][C]21.4066253571313[/C][C]-0.393613614545377[/C][/ROW]
[ROW][C]60[/C][C]22.6[/C][C]22.5602945883497[/C][C]0.583003848711857[/C][C]22.0567015629385[/C][C]-0.039705411650349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63939&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63939&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
13.27.60840165608070.956435326458233-2.164836982538934.40840165608070
21.93.977969621047760.611960317885162-0.7899299389329222.07796962104776
30-0.532462231003066-0.05251487367001930.584977104673086-0.532462231003066
40.6-0.25950548872391-0.5492460488251752.00875153754909-0.85950548872391
50.2-2.2465484458311-0.7859775245939843.43252597042509-2.4465484458311
60.9-2.38689985563016-0.6774848998159584.86438475544612-3.28689985563016
72.4-1.00725014139458-0.4889933990725766.29624354046716-3.40725014139458
84.72.05827709532959-0.3752889000767757.71701180474719-2.64172290467041
99.49.72380387459762-0.06158394362483359.137780069027220.323803874597619
1012.514.01455213267780.25270214382441210.73274572349781.51455213267781
1115.818.68530036461760.5869882574140712.32771137796832.88530036461760
1218.221.99271713451370.58300384871185713.82427901677443.7927171345137
1316.817.32271801796120.95643532645823315.32084665558050.522718017961219
1417.317.61770524028350.61196031788516216.37033444183130.31770524028353
1519.321.2326926455880-0.052514873670019317.41982222808211.93269264558795
1617.918.4116668251766-0.54924604882517517.93757922364860.51166682517659
1720.222.7306413053789-0.78597752459398418.45533621921512.53064130537889
1818.719.3854733698770-0.67748489981595818.69201152993890.685473369877034
1920.121.7603065584098-0.48899339907257618.92868684066281.66030655840982
2018.217.7126145814614-0.37528890007677519.0626743186153-0.487385418538562
2118.417.6649221470569-0.061583943624833519.1966617965679-0.735077852943082
2218.216.86604918097670.25270214382441219.2812486751989-1.33395081902333
2318.917.8471761887560.5869882574140719.3658355538299-1.05282381124399
2419.919.73374004474570.58300384871185719.4832561065424-0.166259955254286
2521.322.04288801428680.95643532645823319.60067665925490.74288801428683
262019.60425238239450.61196031788516219.7837872997203-0.39574761760548
2719.519.0856169334843-0.052514873670019319.9668979401857-0.414383066515679
2819.619.5582304872347-0.54924604882517520.1910155615905-0.0417695127653062
2920.922.1708443415987-0.78597752459398420.41513318299531.27084434159872
302122.0773335307296-0.67748489981595820.60015136908641.07733353072960
3119.919.5038238438951-0.48899339907257620.7851695551774-0.396176156104865
3219.618.6189112959071-0.37528890007677520.9563776041697-0.98108870409289
3320.920.7339982904629-0.061583943624833521.1275856531619-0.166001709537067
3421.721.80779383467250.25270214382441221.33950402150310.107793834672481
3522.923.66158935274160.5869882574140721.55142238984430.761589352741613
3621.520.67376504681020.58300384871185721.7432311044779-0.826234953189765
3721.319.70852485443030.95643532645823321.9350398191115-1.59147514556973
3823.524.42901649334150.61196031788516221.95902318877330.929016493341521
3921.621.2695083152349-0.052514873670019321.9830065584351-0.330491684765104
4024.527.8798187467971-0.54924604882517521.66942730202813.37981874679709
4122.223.8301294789729-0.78597752459398421.35584804562101.63012947897294
4223.526.9210871757855-0.67748489981595820.75639772403053.4210871757855
4320.922.1320459966327-0.48899339907257620.15694740243991.23204599663270
4420.722.3170465835931-0.37528890007677519.45824231648371.61704658359312
4518.117.5020467130974-0.061583943624833518.7595372305274-0.597953286902609
4617.115.87129128932640.25270214382441218.0760065668492-1.22870871067365
4714.811.62053583941490.5869882574140717.3924759031710-3.1794641605851
4813.810.05183362190260.58300384871185716.9651625293855-3.7481663780974
4915.212.90571551794170.95643532645823316.5378491556001-2.29428448205830
501614.80844327111640.61196031788516216.5795964109984-1.19155672888355
5117.618.6311712072733-0.052514873670019316.62134366639671.0311712072733
521513.358999009526-0.54924604882517517.1902470392992-1.64100099047401
531513.0268271123923-0.78597752459398417.7591504122016-1.97317288760765
5416.314.9430435719134-0.67748489981595818.3344413279025-1.35695642808658
5519.420.3792611554691-0.48899339907257618.90973224360340.979261155469128
5621.323.4554012939674-0.37528890007677519.51988760610942.15540129396743
5720.520.9315409750096-0.061583943624833520.13004296861530.431540975009579
5821.121.17896369330230.25270214382441220.76833416287330.0789636933023097
5921.621.20638638545460.5869882574140721.4066253571313-0.393613614545377
6022.622.56029458834970.58300384871185722.0567015629385-0.039705411650349



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')