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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationThu, 03 Dec 2009 10:04:54 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/03/t125986003386hxarmwr8ddrgj.htm/, Retrieved Fri, 19 Apr 2024 23:14:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62927, Retrieved Fri, 19 Apr 2024 23:14:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Decomposition by Loess] [] [2009-11-27 15:00:29] [b98453cac15ba1066b407e146608df68]
- R  D      [Decomposition by Loess] [] [2009-12-03 17:04:54] [429631dabc57c2ce83a6344a979b9063] [Current]
-    D        [Decomposition by Loess] [] [2009-12-04 12:31:55] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
115.6
111.9
107
107.1
100.6
99.2
108.4
103
99.8
115
90.8
95.9
114.4
108.2
112.6
109.1
105
105
118.5
103.7
112.5
116.6
96.6
101.9
116.5
119.3
115.4
108.5
111.5
108.8
121.8
109.6
112.2
119.6
104.1
105.3
115
124.1
116.8
107.5
115.6
116.2
116.3
119
111.9
118.6
106.9
103.2
118.6
118.7
102.8
100.6
94.9
94.5
102.9
95.3
92.5
102.7
91.5
89.5




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=62927&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=62927&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62927&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=62927&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=62927&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62927&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
1115.6118.2511189253537.15098127132412105.7978998033232.65111892535323
2111.9110.4929455191797.72013802187104105.586916458950-1.40705448082137
3107106.2747701263392.34929675908322105.375933114578-0.72522987366122
4107.1110.949655013092-1.95277965494508105.2031246418533.84965501309193
5100.699.1045324759887-2.93484864511705105.030316169128-1.49546752401126
699.297.1332182235113-3.62819156370390104.894973340193-2.06678177648868
7108.4106.7419032391035.29846624963986104.759630511257-1.65809676089675
8103103.289978906677-1.94657147815202104.6565925714750.289978906677305
999.897.1180507316206-2.07160536331314104.553554631693-2.6819492683794
10115118.3323137570506.96989384764446104.6977923953063.33231375704953
1190.885.9865724301123-9.22860258903177104.842030158919-4.81342756988774
1295.994.1812345256804-7.72617379393264105.344939268252-1.71876547431962
13114.4115.8011703510917.15098127132412105.8478483775851.40117035109087
14108.2102.2360120691577.72013802187104106.443849908972-5.96398793084268
15112.6115.8108518005592.34929675908322107.0398514403583.21085180055852
16109.1112.563879462311-1.95277965494508107.5889001926353.46387946231056
17105104.796899700206-2.93484864511705108.137948944911-0.203100299793761
18105105.046436602757-3.62819156370390108.5817549609470.0464366027573959
19118.5122.6759727733785.29846624963986109.0255609769824.17597277337792
20103.799.99437653913-1.94657147815202109.352194939022-3.70562346086997
21112.5117.392776462251-2.07160536331314109.6788289010624.89277646225136
22116.6116.2875674478856.96989384764446109.942538704470-0.312432552114686
2396.692.222354081153-9.22860258903177110.206248507879-4.37764591884692
24101.9101.003126078593-7.72617379393264110.523047715340-0.896873921406979
25116.5115.0091718058757.15098127132412110.839846922801-1.49082819412467
26119.3119.6915084908037.72013802187104111.1883534873260.391508490803091
27115.4116.9138431890662.34929675908322111.5368600518511.51384318906561
28108.5107.054564975781-1.95277965494508111.898214679164-1.44543502421936
29111.5113.675279338639-2.93484864511705112.2595693064782.1752793386393
30108.8108.705180083399-3.62819156370390112.523011480305-0.094819916600784
31121.8125.5150800962285.29846624963986112.7864536541323.71508009622849
32109.6108.245556740245-1.94657147815202112.901014737907-1.35444325975536
33112.2113.45602954163-2.07160536331314113.0155758216831.25602954163004
34119.6119.1079278634416.96989384764446113.122178288914-0.492072136558832
35104.1104.199821832886-9.22860258903177113.2287807561460.0998218328861071
36105.3104.905960269887-7.72617379393264113.420213524046-0.394039730113363
37115109.2373724367307.15098127132412113.611646291946-5.76262756327046
38124.1126.6288906199967.72013802187104113.8509713581332.52889061999581
39116.8117.1604068165972.34929675908322114.090296424320.360406816596836
40107.5102.673854952032-1.95277965494508114.278924702913-4.82614504796784
41115.6119.667295663611-2.93484864511705114.4675529815064.06729566361112
42116.2121.531825126215-3.62819156370390114.4963664374895.33182512621457
43116.3112.7763538568875.29846624963986114.525179893473-3.52364614311261
44119125.835198832755-1.94657147815202114.1113726453976.83519883275538
45111.9112.174039965993-2.07160536331314113.6975653973210.2740399659926
46118.6117.6076280716986.96989384764446112.622478080657-0.992371928301807
47106.9111.481211825038-9.22860258903177111.5473907639944.58121182503764
48103.2104.144129769601-7.72617379393264109.9820440243310.944129769601176
49118.6121.6323214440077.15098127132412108.4166972846693.03232144400707
50118.7122.9641545859417.72013802187104106.7157073921884.26415458594079
51102.898.23598574120932.34929675908322105.014717499708-4.56401425879073
52100.699.4712235795372-1.95277965494508103.681556075408-1.12877642046283
5394.990.3864539940087-2.93484864511705102.348394651108-4.51354600599127
5494.591.5313425101831-3.62819156370390101.096849053521-2.96865748981691
55102.9100.6562302944275.2984662496398699.8453034559333-2.24376970557316
5695.393.9251357726871-1.9465714781520298.621435705465-1.37486422731286
5792.589.6740374083167-2.0716053633131497.3975679549964-2.82596259168329
58102.7102.1889797292126.9698938476444696.2411264231432-0.51102027078764
5991.597.1439176977418-9.2286025890317795.084684891295.64391769774181
6089.592.72637874439-7.7261737939326493.99979504954273.22637874438996

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 115.6 & 118.251118925353 & 7.15098127132412 & 105.797899803323 & 2.65111892535323 \tabularnewline
2 & 111.9 & 110.492945519179 & 7.72013802187104 & 105.586916458950 & -1.40705448082137 \tabularnewline
3 & 107 & 106.274770126339 & 2.34929675908322 & 105.375933114578 & -0.72522987366122 \tabularnewline
4 & 107.1 & 110.949655013092 & -1.95277965494508 & 105.203124641853 & 3.84965501309193 \tabularnewline
5 & 100.6 & 99.1045324759887 & -2.93484864511705 & 105.030316169128 & -1.49546752401126 \tabularnewline
6 & 99.2 & 97.1332182235113 & -3.62819156370390 & 104.894973340193 & -2.06678177648868 \tabularnewline
7 & 108.4 & 106.741903239103 & 5.29846624963986 & 104.759630511257 & -1.65809676089675 \tabularnewline
8 & 103 & 103.289978906677 & -1.94657147815202 & 104.656592571475 & 0.289978906677305 \tabularnewline
9 & 99.8 & 97.1180507316206 & -2.07160536331314 & 104.553554631693 & -2.6819492683794 \tabularnewline
10 & 115 & 118.332313757050 & 6.96989384764446 & 104.697792395306 & 3.33231375704953 \tabularnewline
11 & 90.8 & 85.9865724301123 & -9.22860258903177 & 104.842030158919 & -4.81342756988774 \tabularnewline
12 & 95.9 & 94.1812345256804 & -7.72617379393264 & 105.344939268252 & -1.71876547431962 \tabularnewline
13 & 114.4 & 115.801170351091 & 7.15098127132412 & 105.847848377585 & 1.40117035109087 \tabularnewline
14 & 108.2 & 102.236012069157 & 7.72013802187104 & 106.443849908972 & -5.96398793084268 \tabularnewline
15 & 112.6 & 115.810851800559 & 2.34929675908322 & 107.039851440358 & 3.21085180055852 \tabularnewline
16 & 109.1 & 112.563879462311 & -1.95277965494508 & 107.588900192635 & 3.46387946231056 \tabularnewline
17 & 105 & 104.796899700206 & -2.93484864511705 & 108.137948944911 & -0.203100299793761 \tabularnewline
18 & 105 & 105.046436602757 & -3.62819156370390 & 108.581754960947 & 0.0464366027573959 \tabularnewline
19 & 118.5 & 122.675972773378 & 5.29846624963986 & 109.025560976982 & 4.17597277337792 \tabularnewline
20 & 103.7 & 99.99437653913 & -1.94657147815202 & 109.352194939022 & -3.70562346086997 \tabularnewline
21 & 112.5 & 117.392776462251 & -2.07160536331314 & 109.678828901062 & 4.89277646225136 \tabularnewline
22 & 116.6 & 116.287567447885 & 6.96989384764446 & 109.942538704470 & -0.312432552114686 \tabularnewline
23 & 96.6 & 92.222354081153 & -9.22860258903177 & 110.206248507879 & -4.37764591884692 \tabularnewline
24 & 101.9 & 101.003126078593 & -7.72617379393264 & 110.523047715340 & -0.896873921406979 \tabularnewline
25 & 116.5 & 115.009171805875 & 7.15098127132412 & 110.839846922801 & -1.49082819412467 \tabularnewline
26 & 119.3 & 119.691508490803 & 7.72013802187104 & 111.188353487326 & 0.391508490803091 \tabularnewline
27 & 115.4 & 116.913843189066 & 2.34929675908322 & 111.536860051851 & 1.51384318906561 \tabularnewline
28 & 108.5 & 107.054564975781 & -1.95277965494508 & 111.898214679164 & -1.44543502421936 \tabularnewline
29 & 111.5 & 113.675279338639 & -2.93484864511705 & 112.259569306478 & 2.1752793386393 \tabularnewline
30 & 108.8 & 108.705180083399 & -3.62819156370390 & 112.523011480305 & -0.094819916600784 \tabularnewline
31 & 121.8 & 125.515080096228 & 5.29846624963986 & 112.786453654132 & 3.71508009622849 \tabularnewline
32 & 109.6 & 108.245556740245 & -1.94657147815202 & 112.901014737907 & -1.35444325975536 \tabularnewline
33 & 112.2 & 113.45602954163 & -2.07160536331314 & 113.015575821683 & 1.25602954163004 \tabularnewline
34 & 119.6 & 119.107927863441 & 6.96989384764446 & 113.122178288914 & -0.492072136558832 \tabularnewline
35 & 104.1 & 104.199821832886 & -9.22860258903177 & 113.228780756146 & 0.0998218328861071 \tabularnewline
36 & 105.3 & 104.905960269887 & -7.72617379393264 & 113.420213524046 & -0.394039730113363 \tabularnewline
37 & 115 & 109.237372436730 & 7.15098127132412 & 113.611646291946 & -5.76262756327046 \tabularnewline
38 & 124.1 & 126.628890619996 & 7.72013802187104 & 113.850971358133 & 2.52889061999581 \tabularnewline
39 & 116.8 & 117.160406816597 & 2.34929675908322 & 114.09029642432 & 0.360406816596836 \tabularnewline
40 & 107.5 & 102.673854952032 & -1.95277965494508 & 114.278924702913 & -4.82614504796784 \tabularnewline
41 & 115.6 & 119.667295663611 & -2.93484864511705 & 114.467552981506 & 4.06729566361112 \tabularnewline
42 & 116.2 & 121.531825126215 & -3.62819156370390 & 114.496366437489 & 5.33182512621457 \tabularnewline
43 & 116.3 & 112.776353856887 & 5.29846624963986 & 114.525179893473 & -3.52364614311261 \tabularnewline
44 & 119 & 125.835198832755 & -1.94657147815202 & 114.111372645397 & 6.83519883275538 \tabularnewline
45 & 111.9 & 112.174039965993 & -2.07160536331314 & 113.697565397321 & 0.2740399659926 \tabularnewline
46 & 118.6 & 117.607628071698 & 6.96989384764446 & 112.622478080657 & -0.992371928301807 \tabularnewline
47 & 106.9 & 111.481211825038 & -9.22860258903177 & 111.547390763994 & 4.58121182503764 \tabularnewline
48 & 103.2 & 104.144129769601 & -7.72617379393264 & 109.982044024331 & 0.944129769601176 \tabularnewline
49 & 118.6 & 121.632321444007 & 7.15098127132412 & 108.416697284669 & 3.03232144400707 \tabularnewline
50 & 118.7 & 122.964154585941 & 7.72013802187104 & 106.715707392188 & 4.26415458594079 \tabularnewline
51 & 102.8 & 98.2359857412093 & 2.34929675908322 & 105.014717499708 & -4.56401425879073 \tabularnewline
52 & 100.6 & 99.4712235795372 & -1.95277965494508 & 103.681556075408 & -1.12877642046283 \tabularnewline
53 & 94.9 & 90.3864539940087 & -2.93484864511705 & 102.348394651108 & -4.51354600599127 \tabularnewline
54 & 94.5 & 91.5313425101831 & -3.62819156370390 & 101.096849053521 & -2.96865748981691 \tabularnewline
55 & 102.9 & 100.656230294427 & 5.29846624963986 & 99.8453034559333 & -2.24376970557316 \tabularnewline
56 & 95.3 & 93.9251357726871 & -1.94657147815202 & 98.621435705465 & -1.37486422731286 \tabularnewline
57 & 92.5 & 89.6740374083167 & -2.07160536331314 & 97.3975679549964 & -2.82596259168329 \tabularnewline
58 & 102.7 & 102.188979729212 & 6.96989384764446 & 96.2411264231432 & -0.51102027078764 \tabularnewline
59 & 91.5 & 97.1439176977418 & -9.22860258903177 & 95.08468489129 & 5.64391769774181 \tabularnewline
60 & 89.5 & 92.72637874439 & -7.72617379393264 & 93.9997950495427 & 3.22637874438996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62927&T=2

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Time Series Components[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Seasonal[/C][C]Trend[/C][C]Remainder[/C][/ROW]
[ROW][C]1[/C][C]115.6[/C][C]118.251118925353[/C][C]7.15098127132412[/C][C]105.797899803323[/C][C]2.65111892535323[/C][/ROW]
[ROW][C]2[/C][C]111.9[/C][C]110.492945519179[/C][C]7.72013802187104[/C][C]105.586916458950[/C][C]-1.40705448082137[/C][/ROW]
[ROW][C]3[/C][C]107[/C][C]106.274770126339[/C][C]2.34929675908322[/C][C]105.375933114578[/C][C]-0.72522987366122[/C][/ROW]
[ROW][C]4[/C][C]107.1[/C][C]110.949655013092[/C][C]-1.95277965494508[/C][C]105.203124641853[/C][C]3.84965501309193[/C][/ROW]
[ROW][C]5[/C][C]100.6[/C][C]99.1045324759887[/C][C]-2.93484864511705[/C][C]105.030316169128[/C][C]-1.49546752401126[/C][/ROW]
[ROW][C]6[/C][C]99.2[/C][C]97.1332182235113[/C][C]-3.62819156370390[/C][C]104.894973340193[/C][C]-2.06678177648868[/C][/ROW]
[ROW][C]7[/C][C]108.4[/C][C]106.741903239103[/C][C]5.29846624963986[/C][C]104.759630511257[/C][C]-1.65809676089675[/C][/ROW]
[ROW][C]8[/C][C]103[/C][C]103.289978906677[/C][C]-1.94657147815202[/C][C]104.656592571475[/C][C]0.289978906677305[/C][/ROW]
[ROW][C]9[/C][C]99.8[/C][C]97.1180507316206[/C][C]-2.07160536331314[/C][C]104.553554631693[/C][C]-2.6819492683794[/C][/ROW]
[ROW][C]10[/C][C]115[/C][C]118.332313757050[/C][C]6.96989384764446[/C][C]104.697792395306[/C][C]3.33231375704953[/C][/ROW]
[ROW][C]11[/C][C]90.8[/C][C]85.9865724301123[/C][C]-9.22860258903177[/C][C]104.842030158919[/C][C]-4.81342756988774[/C][/ROW]
[ROW][C]12[/C][C]95.9[/C][C]94.1812345256804[/C][C]-7.72617379393264[/C][C]105.344939268252[/C][C]-1.71876547431962[/C][/ROW]
[ROW][C]13[/C][C]114.4[/C][C]115.801170351091[/C][C]7.15098127132412[/C][C]105.847848377585[/C][C]1.40117035109087[/C][/ROW]
[ROW][C]14[/C][C]108.2[/C][C]102.236012069157[/C][C]7.72013802187104[/C][C]106.443849908972[/C][C]-5.96398793084268[/C][/ROW]
[ROW][C]15[/C][C]112.6[/C][C]115.810851800559[/C][C]2.34929675908322[/C][C]107.039851440358[/C][C]3.21085180055852[/C][/ROW]
[ROW][C]16[/C][C]109.1[/C][C]112.563879462311[/C][C]-1.95277965494508[/C][C]107.588900192635[/C][C]3.46387946231056[/C][/ROW]
[ROW][C]17[/C][C]105[/C][C]104.796899700206[/C][C]-2.93484864511705[/C][C]108.137948944911[/C][C]-0.203100299793761[/C][/ROW]
[ROW][C]18[/C][C]105[/C][C]105.046436602757[/C][C]-3.62819156370390[/C][C]108.581754960947[/C][C]0.0464366027573959[/C][/ROW]
[ROW][C]19[/C][C]118.5[/C][C]122.675972773378[/C][C]5.29846624963986[/C][C]109.025560976982[/C][C]4.17597277337792[/C][/ROW]
[ROW][C]20[/C][C]103.7[/C][C]99.99437653913[/C][C]-1.94657147815202[/C][C]109.352194939022[/C][C]-3.70562346086997[/C][/ROW]
[ROW][C]21[/C][C]112.5[/C][C]117.392776462251[/C][C]-2.07160536331314[/C][C]109.678828901062[/C][C]4.89277646225136[/C][/ROW]
[ROW][C]22[/C][C]116.6[/C][C]116.287567447885[/C][C]6.96989384764446[/C][C]109.942538704470[/C][C]-0.312432552114686[/C][/ROW]
[ROW][C]23[/C][C]96.6[/C][C]92.222354081153[/C][C]-9.22860258903177[/C][C]110.206248507879[/C][C]-4.37764591884692[/C][/ROW]
[ROW][C]24[/C][C]101.9[/C][C]101.003126078593[/C][C]-7.72617379393264[/C][C]110.523047715340[/C][C]-0.896873921406979[/C][/ROW]
[ROW][C]25[/C][C]116.5[/C][C]115.009171805875[/C][C]7.15098127132412[/C][C]110.839846922801[/C][C]-1.49082819412467[/C][/ROW]
[ROW][C]26[/C][C]119.3[/C][C]119.691508490803[/C][C]7.72013802187104[/C][C]111.188353487326[/C][C]0.391508490803091[/C][/ROW]
[ROW][C]27[/C][C]115.4[/C][C]116.913843189066[/C][C]2.34929675908322[/C][C]111.536860051851[/C][C]1.51384318906561[/C][/ROW]
[ROW][C]28[/C][C]108.5[/C][C]107.054564975781[/C][C]-1.95277965494508[/C][C]111.898214679164[/C][C]-1.44543502421936[/C][/ROW]
[ROW][C]29[/C][C]111.5[/C][C]113.675279338639[/C][C]-2.93484864511705[/C][C]112.259569306478[/C][C]2.1752793386393[/C][/ROW]
[ROW][C]30[/C][C]108.8[/C][C]108.705180083399[/C][C]-3.62819156370390[/C][C]112.523011480305[/C][C]-0.094819916600784[/C][/ROW]
[ROW][C]31[/C][C]121.8[/C][C]125.515080096228[/C][C]5.29846624963986[/C][C]112.786453654132[/C][C]3.71508009622849[/C][/ROW]
[ROW][C]32[/C][C]109.6[/C][C]108.245556740245[/C][C]-1.94657147815202[/C][C]112.901014737907[/C][C]-1.35444325975536[/C][/ROW]
[ROW][C]33[/C][C]112.2[/C][C]113.45602954163[/C][C]-2.07160536331314[/C][C]113.015575821683[/C][C]1.25602954163004[/C][/ROW]
[ROW][C]34[/C][C]119.6[/C][C]119.107927863441[/C][C]6.96989384764446[/C][C]113.122178288914[/C][C]-0.492072136558832[/C][/ROW]
[ROW][C]35[/C][C]104.1[/C][C]104.199821832886[/C][C]-9.22860258903177[/C][C]113.228780756146[/C][C]0.0998218328861071[/C][/ROW]
[ROW][C]36[/C][C]105.3[/C][C]104.905960269887[/C][C]-7.72617379393264[/C][C]113.420213524046[/C][C]-0.394039730113363[/C][/ROW]
[ROW][C]37[/C][C]115[/C][C]109.237372436730[/C][C]7.15098127132412[/C][C]113.611646291946[/C][C]-5.76262756327046[/C][/ROW]
[ROW][C]38[/C][C]124.1[/C][C]126.628890619996[/C][C]7.72013802187104[/C][C]113.850971358133[/C][C]2.52889061999581[/C][/ROW]
[ROW][C]39[/C][C]116.8[/C][C]117.160406816597[/C][C]2.34929675908322[/C][C]114.09029642432[/C][C]0.360406816596836[/C][/ROW]
[ROW][C]40[/C][C]107.5[/C][C]102.673854952032[/C][C]-1.95277965494508[/C][C]114.278924702913[/C][C]-4.82614504796784[/C][/ROW]
[ROW][C]41[/C][C]115.6[/C][C]119.667295663611[/C][C]-2.93484864511705[/C][C]114.467552981506[/C][C]4.06729566361112[/C][/ROW]
[ROW][C]42[/C][C]116.2[/C][C]121.531825126215[/C][C]-3.62819156370390[/C][C]114.496366437489[/C][C]5.33182512621457[/C][/ROW]
[ROW][C]43[/C][C]116.3[/C][C]112.776353856887[/C][C]5.29846624963986[/C][C]114.525179893473[/C][C]-3.52364614311261[/C][/ROW]
[ROW][C]44[/C][C]119[/C][C]125.835198832755[/C][C]-1.94657147815202[/C][C]114.111372645397[/C][C]6.83519883275538[/C][/ROW]
[ROW][C]45[/C][C]111.9[/C][C]112.174039965993[/C][C]-2.07160536331314[/C][C]113.697565397321[/C][C]0.2740399659926[/C][/ROW]
[ROW][C]46[/C][C]118.6[/C][C]117.607628071698[/C][C]6.96989384764446[/C][C]112.622478080657[/C][C]-0.992371928301807[/C][/ROW]
[ROW][C]47[/C][C]106.9[/C][C]111.481211825038[/C][C]-9.22860258903177[/C][C]111.547390763994[/C][C]4.58121182503764[/C][/ROW]
[ROW][C]48[/C][C]103.2[/C][C]104.144129769601[/C][C]-7.72617379393264[/C][C]109.982044024331[/C][C]0.944129769601176[/C][/ROW]
[ROW][C]49[/C][C]118.6[/C][C]121.632321444007[/C][C]7.15098127132412[/C][C]108.416697284669[/C][C]3.03232144400707[/C][/ROW]
[ROW][C]50[/C][C]118.7[/C][C]122.964154585941[/C][C]7.72013802187104[/C][C]106.715707392188[/C][C]4.26415458594079[/C][/ROW]
[ROW][C]51[/C][C]102.8[/C][C]98.2359857412093[/C][C]2.34929675908322[/C][C]105.014717499708[/C][C]-4.56401425879073[/C][/ROW]
[ROW][C]52[/C][C]100.6[/C][C]99.4712235795372[/C][C]-1.95277965494508[/C][C]103.681556075408[/C][C]-1.12877642046283[/C][/ROW]
[ROW][C]53[/C][C]94.9[/C][C]90.3864539940087[/C][C]-2.93484864511705[/C][C]102.348394651108[/C][C]-4.51354600599127[/C][/ROW]
[ROW][C]54[/C][C]94.5[/C][C]91.5313425101831[/C][C]-3.62819156370390[/C][C]101.096849053521[/C][C]-2.96865748981691[/C][/ROW]
[ROW][C]55[/C][C]102.9[/C][C]100.656230294427[/C][C]5.29846624963986[/C][C]99.8453034559333[/C][C]-2.24376970557316[/C][/ROW]
[ROW][C]56[/C][C]95.3[/C][C]93.9251357726871[/C][C]-1.94657147815202[/C][C]98.621435705465[/C][C]-1.37486422731286[/C][/ROW]
[ROW][C]57[/C][C]92.5[/C][C]89.6740374083167[/C][C]-2.07160536331314[/C][C]97.3975679549964[/C][C]-2.82596259168329[/C][/ROW]
[ROW][C]58[/C][C]102.7[/C][C]102.188979729212[/C][C]6.96989384764446[/C][C]96.2411264231432[/C][C]-0.51102027078764[/C][/ROW]
[ROW][C]59[/C][C]91.5[/C][C]97.1439176977418[/C][C]-9.22860258903177[/C][C]95.08468489129[/C][C]5.64391769774181[/C][/ROW]
[ROW][C]60[/C][C]89.5[/C][C]92.72637874439[/C][C]-7.72617379393264[/C][C]93.9997950495427[/C][C]3.22637874438996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62927&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62927&T=2

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1115.6118.2511189253537.15098127132412105.7978998033232.65111892535323
2111.9110.4929455191797.72013802187104105.586916458950-1.40705448082137
3107106.2747701263392.34929675908322105.375933114578-0.72522987366122
4107.1110.949655013092-1.95277965494508105.2031246418533.84965501309193
5100.699.1045324759887-2.93484864511705105.030316169128-1.49546752401126
699.297.1332182235113-3.62819156370390104.894973340193-2.06678177648868
7108.4106.7419032391035.29846624963986104.759630511257-1.65809676089675
8103103.289978906677-1.94657147815202104.6565925714750.289978906677305
999.897.1180507316206-2.07160536331314104.553554631693-2.6819492683794
10115118.3323137570506.96989384764446104.6977923953063.33231375704953
1190.885.9865724301123-9.22860258903177104.842030158919-4.81342756988774
1295.994.1812345256804-7.72617379393264105.344939268252-1.71876547431962
13114.4115.8011703510917.15098127132412105.8478483775851.40117035109087
14108.2102.2360120691577.72013802187104106.443849908972-5.96398793084268
15112.6115.8108518005592.34929675908322107.0398514403583.21085180055852
16109.1112.563879462311-1.95277965494508107.5889001926353.46387946231056
17105104.796899700206-2.93484864511705108.137948944911-0.203100299793761
18105105.046436602757-3.62819156370390108.5817549609470.0464366027573959
19118.5122.6759727733785.29846624963986109.0255609769824.17597277337792
20103.799.99437653913-1.94657147815202109.352194939022-3.70562346086997
21112.5117.392776462251-2.07160536331314109.6788289010624.89277646225136
22116.6116.2875674478856.96989384764446109.942538704470-0.312432552114686
2396.692.222354081153-9.22860258903177110.206248507879-4.37764591884692
24101.9101.003126078593-7.72617379393264110.523047715340-0.896873921406979
25116.5115.0091718058757.15098127132412110.839846922801-1.49082819412467
26119.3119.6915084908037.72013802187104111.1883534873260.391508490803091
27115.4116.9138431890662.34929675908322111.5368600518511.51384318906561
28108.5107.054564975781-1.95277965494508111.898214679164-1.44543502421936
29111.5113.675279338639-2.93484864511705112.2595693064782.1752793386393
30108.8108.705180083399-3.62819156370390112.523011480305-0.094819916600784
31121.8125.5150800962285.29846624963986112.7864536541323.71508009622849
32109.6108.245556740245-1.94657147815202112.901014737907-1.35444325975536
33112.2113.45602954163-2.07160536331314113.0155758216831.25602954163004
34119.6119.1079278634416.96989384764446113.122178288914-0.492072136558832
35104.1104.199821832886-9.22860258903177113.2287807561460.0998218328861071
36105.3104.905960269887-7.72617379393264113.420213524046-0.394039730113363
37115109.2373724367307.15098127132412113.611646291946-5.76262756327046
38124.1126.6288906199967.72013802187104113.8509713581332.52889061999581
39116.8117.1604068165972.34929675908322114.090296424320.360406816596836
40107.5102.673854952032-1.95277965494508114.278924702913-4.82614504796784
41115.6119.667295663611-2.93484864511705114.4675529815064.06729566361112
42116.2121.531825126215-3.62819156370390114.4963664374895.33182512621457
43116.3112.7763538568875.29846624963986114.525179893473-3.52364614311261
44119125.835198832755-1.94657147815202114.1113726453976.83519883275538
45111.9112.174039965993-2.07160536331314113.6975653973210.2740399659926
46118.6117.6076280716986.96989384764446112.622478080657-0.992371928301807
47106.9111.481211825038-9.22860258903177111.5473907639944.58121182503764
48103.2104.144129769601-7.72617379393264109.9820440243310.944129769601176
49118.6121.6323214440077.15098127132412108.4166972846693.03232144400707
50118.7122.9641545859417.72013802187104106.7157073921884.26415458594079
51102.898.23598574120932.34929675908322105.014717499708-4.56401425879073
52100.699.4712235795372-1.95277965494508103.681556075408-1.12877642046283
5394.990.3864539940087-2.93484864511705102.348394651108-4.51354600599127
5494.591.5313425101831-3.62819156370390101.096849053521-2.96865748981691
55102.9100.6562302944275.2984662496398699.8453034559333-2.24376970557316
5695.393.9251357726871-1.9465714781520298.621435705465-1.37486422731286
5792.589.6740374083167-2.0716053633131497.3975679549964-2.82596259168329
58102.7102.1889797292126.9698938476444696.2411264231432-0.51102027078764
5991.597.1439176977418-9.2286025890317795.084684891295.64391769774181
6089.592.72637874439-7.7261737939326493.99979504954273.22637874438996



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')