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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, 21 Dec 2009 02:06:21 -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/21/t1261386669mc5tv2w0awenpcj.htm/, Retrieved Tue, 07 May 2024 15:01:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70074, Retrieved Tue, 07 May 2024 15:01:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
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] [] [2009-12-21 09:06:21] [479db4778e5b462dda1f74ecdd6ccff3] [Current]
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Dataseries X:
43.9
51
51.9
54.3
50.3
57.2
48.8
41.1
58
63
53.8
54.7
55.5
56.1
69.6
69.4
57.2
68
53.3
47.9
60.8
61.7
57.8
51.4
50.5
48.1
58.7
54
56.1
60.4
51.2
50.7
56.4
53.3
52.6
47.7
49.5
48.5
55.3
49.8
57.4
64.6
53
41.5
55.9
58.4
53.5
50.6
58.5
49.1
61.1
52.3
58.4
65.5
61.7
45.1
52.1
59.3
57.9
45
64.9
63.8
69.4
71.1
62.9
73.5
62.7
51.9
73.3
66.7
62.5
70.3




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=70074&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=70074&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70074&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
Seasonal721073
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 721 & 0 & 73 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70074&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]721[/C][C]0[/C][C]73[/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=70074&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70074&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
Seasonal721073
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
143.942.210643737422-1.1840077774288746.7733640400068-1.68935626257798
25156.8181122557186-2.5616929706743847.74358071495585.81811225571862
351.949.75890804680675.3272945632885948.7137973899047-2.14109195319328
454.356.32869981724592.5598389154496449.71146126730452.02869981724588
550.349.01514961148810.87572524380763450.7091251447043-1.28485038851191
657.254.2520133907688.4358514837077351.7121351255243-2.94798660923202
748.846.4555428933773-1.5706879997216652.7151451063443-2.34445710662267
841.139.0985653489655-10.590569597135253.6920042481697-2.00143465103453
95859.14159379658752.1895428134173654.66886338999521.14159379658749
106367.43714502898222.8706159642888855.6922390067294.43714502898217
1153.852.3660282455796-1.4816428690423856.7156146234627-1.43397175442038
1254.756.7564187394488-4.8702705575893157.51385181814052.05641873944882
1355.553.8719187646106-1.1840077774288758.3120890128182-1.62808123538937
1456.156.0698628204308-2.5616929706743858.6918301502436-0.0301371795692447
1569.674.80113414904245.3272945632885959.0715712876695.20113414904239
1669.477.08413464091492.5598389154496459.15602644363557.68413464091488
1757.254.28379315659040.87572524380763459.2404815996019-2.91620684340957
186868.5628107138398.4358514837077359.00133780245330.562810713839006
1953.349.408493994417-1.5706879997216658.7621940053046-3.89150600558295
2047.948.279884464043-10.590569597135258.11068513309230.379884464042945
2160.861.95128092570272.1895428134173657.45917626087991.15128092570272
2261.763.81210428719572.8706159642888856.71727974851542.11210428719571
2357.861.1062596328915-1.4816428690423855.97538323615093.30625963289147
2451.452.1628854149205-4.8702705575893155.50738514266880.762885414920547
2550.547.1446207282422-1.1840077774288755.0393870491866-3.35537927175776
2648.144.0277405740126-2.5616929706743854.7339523966617-4.07225942598736
2758.757.64418769257465.3272945632885954.4285177441369-1.05581230742545
285451.30029371540512.5598389154496454.1398673691453-2.69970628459494
2956.157.47305776203860.87572524380763453.85121699415371.37305776203863
3060.458.68996632172618.4358514837077353.6741821945661-1.71003367827387
3151.250.4735406047431-1.5706879997216653.4971473949786-0.726459395256889
3250.758.631836275284-10.590569597135253.35873332185127.93183627528398
3356.457.39013793785872.1895428134173653.22031924872390.990137937858727
3453.350.6839451827022.8706159642888853.0454388530092-2.61605481729804
3552.653.811084411748-1.4816428690423852.87055845729441.21108441174796
3647.747.5092753631119-4.8702705575893152.7609951944774-0.190724636888071
3749.547.5325758457685-1.1840077774288752.6514319316604-1.96742415423149
3848.546.9629293832061-2.5616929706743852.5987635874683-1.53707061679391
3955.352.72661019343525.3272945632885952.5460952432762-2.57338980656483
4049.844.35240276181592.5598389154496452.6877583227344-5.44759723818407
4157.461.09485335399970.87572524380763452.82942140219263.69485335399974
4264.667.56625952406288.4358514837077353.19788899222942.96625952406286
435354.0043314174555-1.5706879997216653.56635658226621.00433141745545
4441.539.6496158942784-10.590569597135253.9409537028568-1.85038410572160
4555.955.29490636313522.1895428134173654.3155508234474-0.605093636864765
4658.459.40294950770742.8706159642888854.52643452800371.00294950770741
4753.553.7443246364824-1.4816428690423854.737318232560.244324636482375
4850.651.1198164900582-4.8702705575893154.95045406753110.519816490058219
4958.563.0204178749267-1.1840077774288755.16358990250224.52041787492667
5049.145.3886721645315-2.5616929706743855.3730208061428-3.71132783546845
5161.161.29025372692795.3272945632885955.58245170978350.190253726927928
5252.346.38431784486772.5598389154496455.6558432396826-5.91568215513226
5358.460.19503998661060.87572524380763455.72923476958181.79503998661061
5465.566.6379195056638.4358514837077355.92622901062931.13791950566298
5561.768.8474647480448-1.5706879997216656.12322325167687.14746474804482
5645.144.0009533644572-10.590569597135256.789616232678-1.09904663554276
5752.144.55444797290352.1895428134173657.4560092136791-7.54555202709646
5859.357.40804749537482.8706159642888858.3213365403363-1.89195250462516
5957.958.0949790020489-1.4816428690423859.18666386699340.194979002048925
604534.9309103216203-4.8702705575893159.939360235969-10.0690896783797
6164.970.2919511724843-1.1840077774288760.69205660494465.39195117248428
6263.868.6217831732738-2.5616929706743861.53990979740064.82178317327377
6369.471.08494244685485.3272945632885962.38776298985661.68494244685480
6471.176.48624275817032.5598389154496463.15391832638015.38624275817028
6562.961.00420109328880.87572524380763463.9200736629035-1.89579890671116
6673.573.82171675690578.4358514837077364.74243175938660.321716756905715
6762.761.405898143852-1.5706879997216665.5647898558696-1.29410185614795
6851.948.0500731720987-10.590569597135266.3404964250365-3.8499268279013
6973.377.29425419237922.1895428134173667.11620299420343.99425419237923
7066.762.6808934699242.8706159642888867.8484905657871-4.01910653007598
7162.557.9008647316716-1.4816428690423868.5807781373708-4.59913526832842
7270.376.1753768491692-4.8702705575893169.29489370842015.87537684916923

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 43.9 & 42.210643737422 & -1.18400777742887 & 46.7733640400068 & -1.68935626257798 \tabularnewline
2 & 51 & 56.8181122557186 & -2.56169297067438 & 47.7435807149558 & 5.81811225571862 \tabularnewline
3 & 51.9 & 49.7589080468067 & 5.32729456328859 & 48.7137973899047 & -2.14109195319328 \tabularnewline
4 & 54.3 & 56.3286998172459 & 2.55983891544964 & 49.7114612673045 & 2.02869981724588 \tabularnewline
5 & 50.3 & 49.0151496114881 & 0.875725243807634 & 50.7091251447043 & -1.28485038851191 \tabularnewline
6 & 57.2 & 54.252013390768 & 8.43585148370773 & 51.7121351255243 & -2.94798660923202 \tabularnewline
7 & 48.8 & 46.4555428933773 & -1.57068799972166 & 52.7151451063443 & -2.34445710662267 \tabularnewline
8 & 41.1 & 39.0985653489655 & -10.5905695971352 & 53.6920042481697 & -2.00143465103453 \tabularnewline
9 & 58 & 59.1415937965875 & 2.18954281341736 & 54.6688633899952 & 1.14159379658749 \tabularnewline
10 & 63 & 67.4371450289822 & 2.87061596428888 & 55.692239006729 & 4.43714502898217 \tabularnewline
11 & 53.8 & 52.3660282455796 & -1.48164286904238 & 56.7156146234627 & -1.43397175442038 \tabularnewline
12 & 54.7 & 56.7564187394488 & -4.87027055758931 & 57.5138518181405 & 2.05641873944882 \tabularnewline
13 & 55.5 & 53.8719187646106 & -1.18400777742887 & 58.3120890128182 & -1.62808123538937 \tabularnewline
14 & 56.1 & 56.0698628204308 & -2.56169297067438 & 58.6918301502436 & -0.0301371795692447 \tabularnewline
15 & 69.6 & 74.8011341490424 & 5.32729456328859 & 59.071571287669 & 5.20113414904239 \tabularnewline
16 & 69.4 & 77.0841346409149 & 2.55983891544964 & 59.1560264436355 & 7.68413464091488 \tabularnewline
17 & 57.2 & 54.2837931565904 & 0.875725243807634 & 59.2404815996019 & -2.91620684340957 \tabularnewline
18 & 68 & 68.562810713839 & 8.43585148370773 & 59.0013378024533 & 0.562810713839006 \tabularnewline
19 & 53.3 & 49.408493994417 & -1.57068799972166 & 58.7621940053046 & -3.89150600558295 \tabularnewline
20 & 47.9 & 48.279884464043 & -10.5905695971352 & 58.1106851330923 & 0.379884464042945 \tabularnewline
21 & 60.8 & 61.9512809257027 & 2.18954281341736 & 57.4591762608799 & 1.15128092570272 \tabularnewline
22 & 61.7 & 63.8121042871957 & 2.87061596428888 & 56.7172797485154 & 2.11210428719571 \tabularnewline
23 & 57.8 & 61.1062596328915 & -1.48164286904238 & 55.9753832361509 & 3.30625963289147 \tabularnewline
24 & 51.4 & 52.1628854149205 & -4.87027055758931 & 55.5073851426688 & 0.762885414920547 \tabularnewline
25 & 50.5 & 47.1446207282422 & -1.18400777742887 & 55.0393870491866 & -3.35537927175776 \tabularnewline
26 & 48.1 & 44.0277405740126 & -2.56169297067438 & 54.7339523966617 & -4.07225942598736 \tabularnewline
27 & 58.7 & 57.6441876925746 & 5.32729456328859 & 54.4285177441369 & -1.05581230742545 \tabularnewline
28 & 54 & 51.3002937154051 & 2.55983891544964 & 54.1398673691453 & -2.69970628459494 \tabularnewline
29 & 56.1 & 57.4730577620386 & 0.875725243807634 & 53.8512169941537 & 1.37305776203863 \tabularnewline
30 & 60.4 & 58.6899663217261 & 8.43585148370773 & 53.6741821945661 & -1.71003367827387 \tabularnewline
31 & 51.2 & 50.4735406047431 & -1.57068799972166 & 53.4971473949786 & -0.726459395256889 \tabularnewline
32 & 50.7 & 58.631836275284 & -10.5905695971352 & 53.3587333218512 & 7.93183627528398 \tabularnewline
33 & 56.4 & 57.3901379378587 & 2.18954281341736 & 53.2203192487239 & 0.990137937858727 \tabularnewline
34 & 53.3 & 50.683945182702 & 2.87061596428888 & 53.0454388530092 & -2.61605481729804 \tabularnewline
35 & 52.6 & 53.811084411748 & -1.48164286904238 & 52.8705584572944 & 1.21108441174796 \tabularnewline
36 & 47.7 & 47.5092753631119 & -4.87027055758931 & 52.7609951944774 & -0.190724636888071 \tabularnewline
37 & 49.5 & 47.5325758457685 & -1.18400777742887 & 52.6514319316604 & -1.96742415423149 \tabularnewline
38 & 48.5 & 46.9629293832061 & -2.56169297067438 & 52.5987635874683 & -1.53707061679391 \tabularnewline
39 & 55.3 & 52.7266101934352 & 5.32729456328859 & 52.5460952432762 & -2.57338980656483 \tabularnewline
40 & 49.8 & 44.3524027618159 & 2.55983891544964 & 52.6877583227344 & -5.44759723818407 \tabularnewline
41 & 57.4 & 61.0948533539997 & 0.875725243807634 & 52.8294214021926 & 3.69485335399974 \tabularnewline
42 & 64.6 & 67.5662595240628 & 8.43585148370773 & 53.1978889922294 & 2.96625952406286 \tabularnewline
43 & 53 & 54.0043314174555 & -1.57068799972166 & 53.5663565822662 & 1.00433141745545 \tabularnewline
44 & 41.5 & 39.6496158942784 & -10.5905695971352 & 53.9409537028568 & -1.85038410572160 \tabularnewline
45 & 55.9 & 55.2949063631352 & 2.18954281341736 & 54.3155508234474 & -0.605093636864765 \tabularnewline
46 & 58.4 & 59.4029495077074 & 2.87061596428888 & 54.5264345280037 & 1.00294950770741 \tabularnewline
47 & 53.5 & 53.7443246364824 & -1.48164286904238 & 54.73731823256 & 0.244324636482375 \tabularnewline
48 & 50.6 & 51.1198164900582 & -4.87027055758931 & 54.9504540675311 & 0.519816490058219 \tabularnewline
49 & 58.5 & 63.0204178749267 & -1.18400777742887 & 55.1635899025022 & 4.52041787492667 \tabularnewline
50 & 49.1 & 45.3886721645315 & -2.56169297067438 & 55.3730208061428 & -3.71132783546845 \tabularnewline
51 & 61.1 & 61.2902537269279 & 5.32729456328859 & 55.5824517097835 & 0.190253726927928 \tabularnewline
52 & 52.3 & 46.3843178448677 & 2.55983891544964 & 55.6558432396826 & -5.91568215513226 \tabularnewline
53 & 58.4 & 60.1950399866106 & 0.875725243807634 & 55.7292347695818 & 1.79503998661061 \tabularnewline
54 & 65.5 & 66.637919505663 & 8.43585148370773 & 55.9262290106293 & 1.13791950566298 \tabularnewline
55 & 61.7 & 68.8474647480448 & -1.57068799972166 & 56.1232232516768 & 7.14746474804482 \tabularnewline
56 & 45.1 & 44.0009533644572 & -10.5905695971352 & 56.789616232678 & -1.09904663554276 \tabularnewline
57 & 52.1 & 44.5544479729035 & 2.18954281341736 & 57.4560092136791 & -7.54555202709646 \tabularnewline
58 & 59.3 & 57.4080474953748 & 2.87061596428888 & 58.3213365403363 & -1.89195250462516 \tabularnewline
59 & 57.9 & 58.0949790020489 & -1.48164286904238 & 59.1866638669934 & 0.194979002048925 \tabularnewline
60 & 45 & 34.9309103216203 & -4.87027055758931 & 59.939360235969 & -10.0690896783797 \tabularnewline
61 & 64.9 & 70.2919511724843 & -1.18400777742887 & 60.6920566049446 & 5.39195117248428 \tabularnewline
62 & 63.8 & 68.6217831732738 & -2.56169297067438 & 61.5399097974006 & 4.82178317327377 \tabularnewline
63 & 69.4 & 71.0849424468548 & 5.32729456328859 & 62.3877629898566 & 1.68494244685480 \tabularnewline
64 & 71.1 & 76.4862427581703 & 2.55983891544964 & 63.1539183263801 & 5.38624275817028 \tabularnewline
65 & 62.9 & 61.0042010932888 & 0.875725243807634 & 63.9200736629035 & -1.89579890671116 \tabularnewline
66 & 73.5 & 73.8217167569057 & 8.43585148370773 & 64.7424317593866 & 0.321716756905715 \tabularnewline
67 & 62.7 & 61.405898143852 & -1.57068799972166 & 65.5647898558696 & -1.29410185614795 \tabularnewline
68 & 51.9 & 48.0500731720987 & -10.5905695971352 & 66.3404964250365 & -3.8499268279013 \tabularnewline
69 & 73.3 & 77.2942541923792 & 2.18954281341736 & 67.1162029942034 & 3.99425419237923 \tabularnewline
70 & 66.7 & 62.680893469924 & 2.87061596428888 & 67.8484905657871 & -4.01910653007598 \tabularnewline
71 & 62.5 & 57.9008647316716 & -1.48164286904238 & 68.5807781373708 & -4.59913526832842 \tabularnewline
72 & 70.3 & 76.1753768491692 & -4.87027055758931 & 69.2948937084201 & 5.87537684916923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70074&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]43.9[/C][C]42.210643737422[/C][C]-1.18400777742887[/C][C]46.7733640400068[/C][C]-1.68935626257798[/C][/ROW]
[ROW][C]2[/C][C]51[/C][C]56.8181122557186[/C][C]-2.56169297067438[/C][C]47.7435807149558[/C][C]5.81811225571862[/C][/ROW]
[ROW][C]3[/C][C]51.9[/C][C]49.7589080468067[/C][C]5.32729456328859[/C][C]48.7137973899047[/C][C]-2.14109195319328[/C][/ROW]
[ROW][C]4[/C][C]54.3[/C][C]56.3286998172459[/C][C]2.55983891544964[/C][C]49.7114612673045[/C][C]2.02869981724588[/C][/ROW]
[ROW][C]5[/C][C]50.3[/C][C]49.0151496114881[/C][C]0.875725243807634[/C][C]50.7091251447043[/C][C]-1.28485038851191[/C][/ROW]
[ROW][C]6[/C][C]57.2[/C][C]54.252013390768[/C][C]8.43585148370773[/C][C]51.7121351255243[/C][C]-2.94798660923202[/C][/ROW]
[ROW][C]7[/C][C]48.8[/C][C]46.4555428933773[/C][C]-1.57068799972166[/C][C]52.7151451063443[/C][C]-2.34445710662267[/C][/ROW]
[ROW][C]8[/C][C]41.1[/C][C]39.0985653489655[/C][C]-10.5905695971352[/C][C]53.6920042481697[/C][C]-2.00143465103453[/C][/ROW]
[ROW][C]9[/C][C]58[/C][C]59.1415937965875[/C][C]2.18954281341736[/C][C]54.6688633899952[/C][C]1.14159379658749[/C][/ROW]
[ROW][C]10[/C][C]63[/C][C]67.4371450289822[/C][C]2.87061596428888[/C][C]55.692239006729[/C][C]4.43714502898217[/C][/ROW]
[ROW][C]11[/C][C]53.8[/C][C]52.3660282455796[/C][C]-1.48164286904238[/C][C]56.7156146234627[/C][C]-1.43397175442038[/C][/ROW]
[ROW][C]12[/C][C]54.7[/C][C]56.7564187394488[/C][C]-4.87027055758931[/C][C]57.5138518181405[/C][C]2.05641873944882[/C][/ROW]
[ROW][C]13[/C][C]55.5[/C][C]53.8719187646106[/C][C]-1.18400777742887[/C][C]58.3120890128182[/C][C]-1.62808123538937[/C][/ROW]
[ROW][C]14[/C][C]56.1[/C][C]56.0698628204308[/C][C]-2.56169297067438[/C][C]58.6918301502436[/C][C]-0.0301371795692447[/C][/ROW]
[ROW][C]15[/C][C]69.6[/C][C]74.8011341490424[/C][C]5.32729456328859[/C][C]59.071571287669[/C][C]5.20113414904239[/C][/ROW]
[ROW][C]16[/C][C]69.4[/C][C]77.0841346409149[/C][C]2.55983891544964[/C][C]59.1560264436355[/C][C]7.68413464091488[/C][/ROW]
[ROW][C]17[/C][C]57.2[/C][C]54.2837931565904[/C][C]0.875725243807634[/C][C]59.2404815996019[/C][C]-2.91620684340957[/C][/ROW]
[ROW][C]18[/C][C]68[/C][C]68.562810713839[/C][C]8.43585148370773[/C][C]59.0013378024533[/C][C]0.562810713839006[/C][/ROW]
[ROW][C]19[/C][C]53.3[/C][C]49.408493994417[/C][C]-1.57068799972166[/C][C]58.7621940053046[/C][C]-3.89150600558295[/C][/ROW]
[ROW][C]20[/C][C]47.9[/C][C]48.279884464043[/C][C]-10.5905695971352[/C][C]58.1106851330923[/C][C]0.379884464042945[/C][/ROW]
[ROW][C]21[/C][C]60.8[/C][C]61.9512809257027[/C][C]2.18954281341736[/C][C]57.4591762608799[/C][C]1.15128092570272[/C][/ROW]
[ROW][C]22[/C][C]61.7[/C][C]63.8121042871957[/C][C]2.87061596428888[/C][C]56.7172797485154[/C][C]2.11210428719571[/C][/ROW]
[ROW][C]23[/C][C]57.8[/C][C]61.1062596328915[/C][C]-1.48164286904238[/C][C]55.9753832361509[/C][C]3.30625963289147[/C][/ROW]
[ROW][C]24[/C][C]51.4[/C][C]52.1628854149205[/C][C]-4.87027055758931[/C][C]55.5073851426688[/C][C]0.762885414920547[/C][/ROW]
[ROW][C]25[/C][C]50.5[/C][C]47.1446207282422[/C][C]-1.18400777742887[/C][C]55.0393870491866[/C][C]-3.35537927175776[/C][/ROW]
[ROW][C]26[/C][C]48.1[/C][C]44.0277405740126[/C][C]-2.56169297067438[/C][C]54.7339523966617[/C][C]-4.07225942598736[/C][/ROW]
[ROW][C]27[/C][C]58.7[/C][C]57.6441876925746[/C][C]5.32729456328859[/C][C]54.4285177441369[/C][C]-1.05581230742545[/C][/ROW]
[ROW][C]28[/C][C]54[/C][C]51.3002937154051[/C][C]2.55983891544964[/C][C]54.1398673691453[/C][C]-2.69970628459494[/C][/ROW]
[ROW][C]29[/C][C]56.1[/C][C]57.4730577620386[/C][C]0.875725243807634[/C][C]53.8512169941537[/C][C]1.37305776203863[/C][/ROW]
[ROW][C]30[/C][C]60.4[/C][C]58.6899663217261[/C][C]8.43585148370773[/C][C]53.6741821945661[/C][C]-1.71003367827387[/C][/ROW]
[ROW][C]31[/C][C]51.2[/C][C]50.4735406047431[/C][C]-1.57068799972166[/C][C]53.4971473949786[/C][C]-0.726459395256889[/C][/ROW]
[ROW][C]32[/C][C]50.7[/C][C]58.631836275284[/C][C]-10.5905695971352[/C][C]53.3587333218512[/C][C]7.93183627528398[/C][/ROW]
[ROW][C]33[/C][C]56.4[/C][C]57.3901379378587[/C][C]2.18954281341736[/C][C]53.2203192487239[/C][C]0.990137937858727[/C][/ROW]
[ROW][C]34[/C][C]53.3[/C][C]50.683945182702[/C][C]2.87061596428888[/C][C]53.0454388530092[/C][C]-2.61605481729804[/C][/ROW]
[ROW][C]35[/C][C]52.6[/C][C]53.811084411748[/C][C]-1.48164286904238[/C][C]52.8705584572944[/C][C]1.21108441174796[/C][/ROW]
[ROW][C]36[/C][C]47.7[/C][C]47.5092753631119[/C][C]-4.87027055758931[/C][C]52.7609951944774[/C][C]-0.190724636888071[/C][/ROW]
[ROW][C]37[/C][C]49.5[/C][C]47.5325758457685[/C][C]-1.18400777742887[/C][C]52.6514319316604[/C][C]-1.96742415423149[/C][/ROW]
[ROW][C]38[/C][C]48.5[/C][C]46.9629293832061[/C][C]-2.56169297067438[/C][C]52.5987635874683[/C][C]-1.53707061679391[/C][/ROW]
[ROW][C]39[/C][C]55.3[/C][C]52.7266101934352[/C][C]5.32729456328859[/C][C]52.5460952432762[/C][C]-2.57338980656483[/C][/ROW]
[ROW][C]40[/C][C]49.8[/C][C]44.3524027618159[/C][C]2.55983891544964[/C][C]52.6877583227344[/C][C]-5.44759723818407[/C][/ROW]
[ROW][C]41[/C][C]57.4[/C][C]61.0948533539997[/C][C]0.875725243807634[/C][C]52.8294214021926[/C][C]3.69485335399974[/C][/ROW]
[ROW][C]42[/C][C]64.6[/C][C]67.5662595240628[/C][C]8.43585148370773[/C][C]53.1978889922294[/C][C]2.96625952406286[/C][/ROW]
[ROW][C]43[/C][C]53[/C][C]54.0043314174555[/C][C]-1.57068799972166[/C][C]53.5663565822662[/C][C]1.00433141745545[/C][/ROW]
[ROW][C]44[/C][C]41.5[/C][C]39.6496158942784[/C][C]-10.5905695971352[/C][C]53.9409537028568[/C][C]-1.85038410572160[/C][/ROW]
[ROW][C]45[/C][C]55.9[/C][C]55.2949063631352[/C][C]2.18954281341736[/C][C]54.3155508234474[/C][C]-0.605093636864765[/C][/ROW]
[ROW][C]46[/C][C]58.4[/C][C]59.4029495077074[/C][C]2.87061596428888[/C][C]54.5264345280037[/C][C]1.00294950770741[/C][/ROW]
[ROW][C]47[/C][C]53.5[/C][C]53.7443246364824[/C][C]-1.48164286904238[/C][C]54.73731823256[/C][C]0.244324636482375[/C][/ROW]
[ROW][C]48[/C][C]50.6[/C][C]51.1198164900582[/C][C]-4.87027055758931[/C][C]54.9504540675311[/C][C]0.519816490058219[/C][/ROW]
[ROW][C]49[/C][C]58.5[/C][C]63.0204178749267[/C][C]-1.18400777742887[/C][C]55.1635899025022[/C][C]4.52041787492667[/C][/ROW]
[ROW][C]50[/C][C]49.1[/C][C]45.3886721645315[/C][C]-2.56169297067438[/C][C]55.3730208061428[/C][C]-3.71132783546845[/C][/ROW]
[ROW][C]51[/C][C]61.1[/C][C]61.2902537269279[/C][C]5.32729456328859[/C][C]55.5824517097835[/C][C]0.190253726927928[/C][/ROW]
[ROW][C]52[/C][C]52.3[/C][C]46.3843178448677[/C][C]2.55983891544964[/C][C]55.6558432396826[/C][C]-5.91568215513226[/C][/ROW]
[ROW][C]53[/C][C]58.4[/C][C]60.1950399866106[/C][C]0.875725243807634[/C][C]55.7292347695818[/C][C]1.79503998661061[/C][/ROW]
[ROW][C]54[/C][C]65.5[/C][C]66.637919505663[/C][C]8.43585148370773[/C][C]55.9262290106293[/C][C]1.13791950566298[/C][/ROW]
[ROW][C]55[/C][C]61.7[/C][C]68.8474647480448[/C][C]-1.57068799972166[/C][C]56.1232232516768[/C][C]7.14746474804482[/C][/ROW]
[ROW][C]56[/C][C]45.1[/C][C]44.0009533644572[/C][C]-10.5905695971352[/C][C]56.789616232678[/C][C]-1.09904663554276[/C][/ROW]
[ROW][C]57[/C][C]52.1[/C][C]44.5544479729035[/C][C]2.18954281341736[/C][C]57.4560092136791[/C][C]-7.54555202709646[/C][/ROW]
[ROW][C]58[/C][C]59.3[/C][C]57.4080474953748[/C][C]2.87061596428888[/C][C]58.3213365403363[/C][C]-1.89195250462516[/C][/ROW]
[ROW][C]59[/C][C]57.9[/C][C]58.0949790020489[/C][C]-1.48164286904238[/C][C]59.1866638669934[/C][C]0.194979002048925[/C][/ROW]
[ROW][C]60[/C][C]45[/C][C]34.9309103216203[/C][C]-4.87027055758931[/C][C]59.939360235969[/C][C]-10.0690896783797[/C][/ROW]
[ROW][C]61[/C][C]64.9[/C][C]70.2919511724843[/C][C]-1.18400777742887[/C][C]60.6920566049446[/C][C]5.39195117248428[/C][/ROW]
[ROW][C]62[/C][C]63.8[/C][C]68.6217831732738[/C][C]-2.56169297067438[/C][C]61.5399097974006[/C][C]4.82178317327377[/C][/ROW]
[ROW][C]63[/C][C]69.4[/C][C]71.0849424468548[/C][C]5.32729456328859[/C][C]62.3877629898566[/C][C]1.68494244685480[/C][/ROW]
[ROW][C]64[/C][C]71.1[/C][C]76.4862427581703[/C][C]2.55983891544964[/C][C]63.1539183263801[/C][C]5.38624275817028[/C][/ROW]
[ROW][C]65[/C][C]62.9[/C][C]61.0042010932888[/C][C]0.875725243807634[/C][C]63.9200736629035[/C][C]-1.89579890671116[/C][/ROW]
[ROW][C]66[/C][C]73.5[/C][C]73.8217167569057[/C][C]8.43585148370773[/C][C]64.7424317593866[/C][C]0.321716756905715[/C][/ROW]
[ROW][C]67[/C][C]62.7[/C][C]61.405898143852[/C][C]-1.57068799972166[/C][C]65.5647898558696[/C][C]-1.29410185614795[/C][/ROW]
[ROW][C]68[/C][C]51.9[/C][C]48.0500731720987[/C][C]-10.5905695971352[/C][C]66.3404964250365[/C][C]-3.8499268279013[/C][/ROW]
[ROW][C]69[/C][C]73.3[/C][C]77.2942541923792[/C][C]2.18954281341736[/C][C]67.1162029942034[/C][C]3.99425419237923[/C][/ROW]
[ROW][C]70[/C][C]66.7[/C][C]62.680893469924[/C][C]2.87061596428888[/C][C]67.8484905657871[/C][C]-4.01910653007598[/C][/ROW]
[ROW][C]71[/C][C]62.5[/C][C]57.9008647316716[/C][C]-1.48164286904238[/C][C]68.5807781373708[/C][C]-4.59913526832842[/C][/ROW]
[ROW][C]72[/C][C]70.3[/C][C]76.1753768491692[/C][C]-4.87027055758931[/C][C]69.2948937084201[/C][C]5.87537684916923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70074&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70074&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
143.942.210643737422-1.1840077774288746.7733640400068-1.68935626257798
25156.8181122557186-2.5616929706743847.74358071495585.81811225571862
351.949.75890804680675.3272945632885948.7137973899047-2.14109195319328
454.356.32869981724592.5598389154496449.71146126730452.02869981724588
550.349.01514961148810.87572524380763450.7091251447043-1.28485038851191
657.254.2520133907688.4358514837077351.7121351255243-2.94798660923202
748.846.4555428933773-1.5706879997216652.7151451063443-2.34445710662267
841.139.0985653489655-10.590569597135253.6920042481697-2.00143465103453
95859.14159379658752.1895428134173654.66886338999521.14159379658749
106367.43714502898222.8706159642888855.6922390067294.43714502898217
1153.852.3660282455796-1.4816428690423856.7156146234627-1.43397175442038
1254.756.7564187394488-4.8702705575893157.51385181814052.05641873944882
1355.553.8719187646106-1.1840077774288758.3120890128182-1.62808123538937
1456.156.0698628204308-2.5616929706743858.6918301502436-0.0301371795692447
1569.674.80113414904245.3272945632885959.0715712876695.20113414904239
1669.477.08413464091492.5598389154496459.15602644363557.68413464091488
1757.254.28379315659040.87572524380763459.2404815996019-2.91620684340957
186868.5628107138398.4358514837077359.00133780245330.562810713839006
1953.349.408493994417-1.5706879997216658.7621940053046-3.89150600558295
2047.948.279884464043-10.590569597135258.11068513309230.379884464042945
2160.861.95128092570272.1895428134173657.45917626087991.15128092570272
2261.763.81210428719572.8706159642888856.71727974851542.11210428719571
2357.861.1062596328915-1.4816428690423855.97538323615093.30625963289147
2451.452.1628854149205-4.8702705575893155.50738514266880.762885414920547
2550.547.1446207282422-1.1840077774288755.0393870491866-3.35537927175776
2648.144.0277405740126-2.5616929706743854.7339523966617-4.07225942598736
2758.757.64418769257465.3272945632885954.4285177441369-1.05581230742545
285451.30029371540512.5598389154496454.1398673691453-2.69970628459494
2956.157.47305776203860.87572524380763453.85121699415371.37305776203863
3060.458.68996632172618.4358514837077353.6741821945661-1.71003367827387
3151.250.4735406047431-1.5706879997216653.4971473949786-0.726459395256889
3250.758.631836275284-10.590569597135253.35873332185127.93183627528398
3356.457.39013793785872.1895428134173653.22031924872390.990137937858727
3453.350.6839451827022.8706159642888853.0454388530092-2.61605481729804
3552.653.811084411748-1.4816428690423852.87055845729441.21108441174796
3647.747.5092753631119-4.8702705575893152.7609951944774-0.190724636888071
3749.547.5325758457685-1.1840077774288752.6514319316604-1.96742415423149
3848.546.9629293832061-2.5616929706743852.5987635874683-1.53707061679391
3955.352.72661019343525.3272945632885952.5460952432762-2.57338980656483
4049.844.35240276181592.5598389154496452.6877583227344-5.44759723818407
4157.461.09485335399970.87572524380763452.82942140219263.69485335399974
4264.667.56625952406288.4358514837077353.19788899222942.96625952406286
435354.0043314174555-1.5706879997216653.56635658226621.00433141745545
4441.539.6496158942784-10.590569597135253.9409537028568-1.85038410572160
4555.955.29490636313522.1895428134173654.3155508234474-0.605093636864765
4658.459.40294950770742.8706159642888854.52643452800371.00294950770741
4753.553.7443246364824-1.4816428690423854.737318232560.244324636482375
4850.651.1198164900582-4.8702705575893154.95045406753110.519816490058219
4958.563.0204178749267-1.1840077774288755.16358990250224.52041787492667
5049.145.3886721645315-2.5616929706743855.3730208061428-3.71132783546845
5161.161.29025372692795.3272945632885955.58245170978350.190253726927928
5252.346.38431784486772.5598389154496455.6558432396826-5.91568215513226
5358.460.19503998661060.87572524380763455.72923476958181.79503998661061
5465.566.6379195056638.4358514837077355.92622901062931.13791950566298
5561.768.8474647480448-1.5706879997216656.12322325167687.14746474804482
5645.144.0009533644572-10.590569597135256.789616232678-1.09904663554276
5752.144.55444797290352.1895428134173657.4560092136791-7.54555202709646
5859.357.40804749537482.8706159642888858.3213365403363-1.89195250462516
5957.958.0949790020489-1.4816428690423859.18666386699340.194979002048925
604534.9309103216203-4.8702705575893159.939360235969-10.0690896783797
6164.970.2919511724843-1.1840077774288760.69205660494465.39195117248428
6263.868.6217831732738-2.5616929706743861.53990979740064.82178317327377
6369.471.08494244685485.3272945632885962.38776298985661.68494244685480
6471.176.48624275817032.5598389154496463.15391832638015.38624275817028
6562.961.00420109328880.87572524380763463.9200736629035-1.89579890671116
6673.573.82171675690578.4358514837077364.74243175938660.321716756905715
6762.761.405898143852-1.5706879997216665.5647898558696-1.29410185614795
6851.948.0500731720987-10.590569597135266.3404964250365-3.8499268279013
6973.377.29425419237922.1895428134173667.11620299420343.99425419237923
7066.762.6808934699242.8706159642888867.8484905657871-4.01910653007598
7162.557.9008647316716-1.4816428690423868.5807781373708-4.59913526832842
7270.376.1753768491692-4.8702705575893169.29489370842015.87537684916923



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')