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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, 30 Nov 2012 13:04:55 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/30/t1354298720m9q7q6y2hub91k7.htm/, Retrieved Fri, 03 May 2024 23:08:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195151, Retrieved Fri, 03 May 2024 23:08:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63
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] [Unemployment] [2010-11-30 13:30:23] [b98453cac15ba1066b407e146608df68]
-    D    [Decomposition by Loess] [] [2012-11-30 15:02:09] [bbed103f50d9b60ea97669d7e6947a11]
- R  D        [Decomposition by Loess] [] [2012-11-30 18:04:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
59,8
60,7
59,7
60,2
61,3
59,8
61,2
59,3
59,4
63,1
68
69,4
70,2
72,6
72,1
69,7
71,5
75,7
76
76,4
83,8
86,2
88,5
95,9
103,1
113,5
115,7
113,1
112,7
121,9
120,3
108,7
102,8
83,4
79,4
77,8
85,7
83,2
82
86,9
95,7
97,9
89,3
91,5
86,8
91
93,8
96,8
95,7
91,4
88,7
88,2
87,7
89,5
95,6
100,5
106,3
112
117,7
125
132,4
138,1
134,7
136,7
134,3
131,6
129,8
131,9
129,8
119,4
116,7
112,8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195151&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195151&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 time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







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=195151&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=195151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195151&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
159.861.65380842235771.966904084145655.97928749349671.85380842235768
260.761.49688235390632.9414177577571656.96169988833650.796882353906305
359.760.73995490997570.71593280684792857.94411228317641.03995490997572
460.261.10052520213910.32838346273638558.97109133512450.900525202139121
561.361.5777596524311.0241699604963159.99807038707260.277759652431044
659.856.00966839346452.5476892793923161.0426423271432-3.79033160653553
761.259.14158266803991.1712030647463862.0872142672138-2.05841733196015
859.355.7314582716522-0.23478199631450163.1033237246623-3.56854172834782
959.455.5713331321902-0.89076631430106964.1194331821109-3.82866686780979
1063.165.0909951477517-4.067622831519865.17662768376811.99099514775168
116873.2106565625273-3.4444787479526966.23382218542545.21065656252733
1269.473.449039284519-2.0580523736680667.40901308914914.04903928451901
1370.269.84889192298171.966904084145668.5842039928727-0.351108077018338
1472.672.30792542783092.9414177577571669.9506568144119-0.292074572169085
1572.172.16695755720090.71593280684792871.31710963595110.0669575572009506
1669.766.04951572599650.32838346273638573.0221008112671-3.65048427400346
1771.567.24873805292061.0241699604963174.727091986583-4.25126194707936
1875.771.78893216275122.5476892793923177.0633785578565-3.91106783724877
197671.42913180612381.1712030647463879.3996651291298-4.57086819387622
2076.470.3954127160667-0.23478199631450182.6393692802478-6.00458728393326
2183.882.6116928829354-0.89076631430106985.8790734313657-1.18830711706462
2286.286.8317534248259-4.067622831519889.63586940669390.631753424825888
2388.587.0518133659306-3.4444787479526993.3926653820221-1.44818663406943
2495.996.7514853475843-2.0580523736680697.10656702608380.851485347584287
25103.1103.4126272457091.9669040841456100.8204686701450.312627245708953
26113.5120.5985953857312.94141775775716103.4599868565117.09859538573144
27115.7124.5845621502750.715932806847928106.0995050428778.8845621502747
28113.1119.2022225749220.328383462736385106.6693939623416.10222257492228
29112.7117.1365471576981.02416996049631107.2392828818054.4365471576984
30121.9135.4210600579932.54768927939231105.83125066261513.5210600579929
31120.3135.0055784918291.17120306474638104.42321844342414.7055784918293
32108.7115.806004017201-0.234781996314501101.8287779791137.1060040172013
33102.8107.256428799499-0.89076631430106999.23433751480214.45642879949895
3483.474.338739129329-4.067622831519896.5288837021908-9.06126087067102
3579.468.4210488583732-3.4444787479526993.8234298895795-10.9789511416268
3677.865.9559727311261-2.0580523736680691.7020796425419-11.8440272688739
3785.779.85236652035011.966904084145689.5807293955043-5.84763347964987
3883.274.93874842590752.9414177577571688.5198338163353-8.26125157409247
398275.82512895598570.71593280684792887.4589382371664-6.1748710440143
4086.985.64309740438750.32838346273638587.8285191328761-1.25690259561247
4195.7102.1777300109181.0241699604963188.19810002858586.47773001091785
4297.9103.9390732509352.5476892793923189.31323746967276.039073250935
4389.387.00042202449411.1712030647463890.4283749107595-2.29957797550591
4491.592.0530182424162-0.23478199631450191.18176375389830.553018242416186
4586.882.555613717264-0.89076631430106991.9351525970371-4.24438628273602
469194.0946193903278-4.067622831519891.9730034411923.09461939032781
4793.899.0336244626058-3.4444787479526992.01085428534695.23362446260582
4896.8103.810757931464-2.0580523736680691.84729444220417.01075793146393
4995.797.7493613167931.966904084145691.68373459906142.04936131679302
5091.487.67981679590992.9414177577571692.178765446333-3.72018320409013
5188.784.01027089954750.71593280684792892.6737962936046-4.68972910045252
5288.281.92870970538160.32838346273638594.142906831882-6.2712902946184
5387.778.76381266934421.0241699604963195.6120173701594-8.93618733065576
5489.578.17584319027952.5476892793923198.2764675303282-11.3241568097205
5595.689.08787924475661.17120306474638100.940917690497-6.51212075524342
56100.596.4608339222109-0.234781996314501104.773948074104-4.03916607778913
57106.3104.883787856591-0.890766314301069108.60697845771-1.41621214340917
58112115.253233034644-4.0676228315198112.8143897968763.25323303464361
59117.7121.822677611911-3.44447874795269117.0218011360424.12267761191058
60125131.471164618444-2.05805237366806120.5868877552246.47116461844428
61132.4138.6811215414491.9669040841456124.1519743744056.28112154144897
62138.1146.8120348213012.94141775775716126.4465474209428.71203482130127
63134.7139.9429467256740.715932806847928128.7411204674785.24294672567441
64136.7144.4722870485440.328383462736385128.5993294887197.77228704854431
65134.3139.1182915295431.02416996049631128.4575385099614.81829152954276
66131.6132.6548870184112.54768927939231127.9974237021971.05488701841065
67129.8130.891488040821.17120306474638127.5373088944331.09148804082048
68131.9137.132128203286-0.234781996314501126.9026537930295.23212820328592
69129.8134.222767622677-0.890766314301069126.2679986916244.42276762267709
70119.4117.417675991107-4.0676228315198125.449946840412-1.98232400889256
71116.7112.212583758752-3.44447874795269124.631894989201-4.48741624124804
72112.8103.993399487164-2.05805237366806123.664652886504-8.80660051283577

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 59.8 & 61.6538084223577 & 1.9669040841456 & 55.9792874934967 & 1.85380842235768 \tabularnewline
2 & 60.7 & 61.4968823539063 & 2.94141775775716 & 56.9616998883365 & 0.796882353906305 \tabularnewline
3 & 59.7 & 60.7399549099757 & 0.715932806847928 & 57.9441122831764 & 1.03995490997572 \tabularnewline
4 & 60.2 & 61.1005252021391 & 0.328383462736385 & 58.9710913351245 & 0.900525202139121 \tabularnewline
5 & 61.3 & 61.577759652431 & 1.02416996049631 & 59.9980703870726 & 0.277759652431044 \tabularnewline
6 & 59.8 & 56.0096683934645 & 2.54768927939231 & 61.0426423271432 & -3.79033160653553 \tabularnewline
7 & 61.2 & 59.1415826680399 & 1.17120306474638 & 62.0872142672138 & -2.05841733196015 \tabularnewline
8 & 59.3 & 55.7314582716522 & -0.234781996314501 & 63.1033237246623 & -3.56854172834782 \tabularnewline
9 & 59.4 & 55.5713331321902 & -0.890766314301069 & 64.1194331821109 & -3.82866686780979 \tabularnewline
10 & 63.1 & 65.0909951477517 & -4.0676228315198 & 65.1766276837681 & 1.99099514775168 \tabularnewline
11 & 68 & 73.2106565625273 & -3.44447874795269 & 66.2338221854254 & 5.21065656252733 \tabularnewline
12 & 69.4 & 73.449039284519 & -2.05805237366806 & 67.4090130891491 & 4.04903928451901 \tabularnewline
13 & 70.2 & 69.8488919229817 & 1.9669040841456 & 68.5842039928727 & -0.351108077018338 \tabularnewline
14 & 72.6 & 72.3079254278309 & 2.94141775775716 & 69.9506568144119 & -0.292074572169085 \tabularnewline
15 & 72.1 & 72.1669575572009 & 0.715932806847928 & 71.3171096359511 & 0.0669575572009506 \tabularnewline
16 & 69.7 & 66.0495157259965 & 0.328383462736385 & 73.0221008112671 & -3.65048427400346 \tabularnewline
17 & 71.5 & 67.2487380529206 & 1.02416996049631 & 74.727091986583 & -4.25126194707936 \tabularnewline
18 & 75.7 & 71.7889321627512 & 2.54768927939231 & 77.0633785578565 & -3.91106783724877 \tabularnewline
19 & 76 & 71.4291318061238 & 1.17120306474638 & 79.3996651291298 & -4.57086819387622 \tabularnewline
20 & 76.4 & 70.3954127160667 & -0.234781996314501 & 82.6393692802478 & -6.00458728393326 \tabularnewline
21 & 83.8 & 82.6116928829354 & -0.890766314301069 & 85.8790734313657 & -1.18830711706462 \tabularnewline
22 & 86.2 & 86.8317534248259 & -4.0676228315198 & 89.6358694066939 & 0.631753424825888 \tabularnewline
23 & 88.5 & 87.0518133659306 & -3.44447874795269 & 93.3926653820221 & -1.44818663406943 \tabularnewline
24 & 95.9 & 96.7514853475843 & -2.05805237366806 & 97.1065670260838 & 0.851485347584287 \tabularnewline
25 & 103.1 & 103.412627245709 & 1.9669040841456 & 100.820468670145 & 0.312627245708953 \tabularnewline
26 & 113.5 & 120.598595385731 & 2.94141775775716 & 103.459986856511 & 7.09859538573144 \tabularnewline
27 & 115.7 & 124.584562150275 & 0.715932806847928 & 106.099505042877 & 8.8845621502747 \tabularnewline
28 & 113.1 & 119.202222574922 & 0.328383462736385 & 106.669393962341 & 6.10222257492228 \tabularnewline
29 & 112.7 & 117.136547157698 & 1.02416996049631 & 107.239282881805 & 4.4365471576984 \tabularnewline
30 & 121.9 & 135.421060057993 & 2.54768927939231 & 105.831250662615 & 13.5210600579929 \tabularnewline
31 & 120.3 & 135.005578491829 & 1.17120306474638 & 104.423218443424 & 14.7055784918293 \tabularnewline
32 & 108.7 & 115.806004017201 & -0.234781996314501 & 101.828777979113 & 7.1060040172013 \tabularnewline
33 & 102.8 & 107.256428799499 & -0.890766314301069 & 99.2343375148021 & 4.45642879949895 \tabularnewline
34 & 83.4 & 74.338739129329 & -4.0676228315198 & 96.5288837021908 & -9.06126087067102 \tabularnewline
35 & 79.4 & 68.4210488583732 & -3.44447874795269 & 93.8234298895795 & -10.9789511416268 \tabularnewline
36 & 77.8 & 65.9559727311261 & -2.05805237366806 & 91.7020796425419 & -11.8440272688739 \tabularnewline
37 & 85.7 & 79.8523665203501 & 1.9669040841456 & 89.5807293955043 & -5.84763347964987 \tabularnewline
38 & 83.2 & 74.9387484259075 & 2.94141775775716 & 88.5198338163353 & -8.26125157409247 \tabularnewline
39 & 82 & 75.8251289559857 & 0.715932806847928 & 87.4589382371664 & -6.1748710440143 \tabularnewline
40 & 86.9 & 85.6430974043875 & 0.328383462736385 & 87.8285191328761 & -1.25690259561247 \tabularnewline
41 & 95.7 & 102.177730010918 & 1.02416996049631 & 88.1981000285858 & 6.47773001091785 \tabularnewline
42 & 97.9 & 103.939073250935 & 2.54768927939231 & 89.3132374696727 & 6.039073250935 \tabularnewline
43 & 89.3 & 87.0004220244941 & 1.17120306474638 & 90.4283749107595 & -2.29957797550591 \tabularnewline
44 & 91.5 & 92.0530182424162 & -0.234781996314501 & 91.1817637538983 & 0.553018242416186 \tabularnewline
45 & 86.8 & 82.555613717264 & -0.890766314301069 & 91.9351525970371 & -4.24438628273602 \tabularnewline
46 & 91 & 94.0946193903278 & -4.0676228315198 & 91.973003441192 & 3.09461939032781 \tabularnewline
47 & 93.8 & 99.0336244626058 & -3.44447874795269 & 92.0108542853469 & 5.23362446260582 \tabularnewline
48 & 96.8 & 103.810757931464 & -2.05805237366806 & 91.8472944422041 & 7.01075793146393 \tabularnewline
49 & 95.7 & 97.749361316793 & 1.9669040841456 & 91.6837345990614 & 2.04936131679302 \tabularnewline
50 & 91.4 & 87.6798167959099 & 2.94141775775716 & 92.178765446333 & -3.72018320409013 \tabularnewline
51 & 88.7 & 84.0102708995475 & 0.715932806847928 & 92.6737962936046 & -4.68972910045252 \tabularnewline
52 & 88.2 & 81.9287097053816 & 0.328383462736385 & 94.142906831882 & -6.2712902946184 \tabularnewline
53 & 87.7 & 78.7638126693442 & 1.02416996049631 & 95.6120173701594 & -8.93618733065576 \tabularnewline
54 & 89.5 & 78.1758431902795 & 2.54768927939231 & 98.2764675303282 & -11.3241568097205 \tabularnewline
55 & 95.6 & 89.0878792447566 & 1.17120306474638 & 100.940917690497 & -6.51212075524342 \tabularnewline
56 & 100.5 & 96.4608339222109 & -0.234781996314501 & 104.773948074104 & -4.03916607778913 \tabularnewline
57 & 106.3 & 104.883787856591 & -0.890766314301069 & 108.60697845771 & -1.41621214340917 \tabularnewline
58 & 112 & 115.253233034644 & -4.0676228315198 & 112.814389796876 & 3.25323303464361 \tabularnewline
59 & 117.7 & 121.822677611911 & -3.44447874795269 & 117.021801136042 & 4.12267761191058 \tabularnewline
60 & 125 & 131.471164618444 & -2.05805237366806 & 120.586887755224 & 6.47116461844428 \tabularnewline
61 & 132.4 & 138.681121541449 & 1.9669040841456 & 124.151974374405 & 6.28112154144897 \tabularnewline
62 & 138.1 & 146.812034821301 & 2.94141775775716 & 126.446547420942 & 8.71203482130127 \tabularnewline
63 & 134.7 & 139.942946725674 & 0.715932806847928 & 128.741120467478 & 5.24294672567441 \tabularnewline
64 & 136.7 & 144.472287048544 & 0.328383462736385 & 128.599329488719 & 7.77228704854431 \tabularnewline
65 & 134.3 & 139.118291529543 & 1.02416996049631 & 128.457538509961 & 4.81829152954276 \tabularnewline
66 & 131.6 & 132.654887018411 & 2.54768927939231 & 127.997423702197 & 1.05488701841065 \tabularnewline
67 & 129.8 & 130.89148804082 & 1.17120306474638 & 127.537308894433 & 1.09148804082048 \tabularnewline
68 & 131.9 & 137.132128203286 & -0.234781996314501 & 126.902653793029 & 5.23212820328592 \tabularnewline
69 & 129.8 & 134.222767622677 & -0.890766314301069 & 126.267998691624 & 4.42276762267709 \tabularnewline
70 & 119.4 & 117.417675991107 & -4.0676228315198 & 125.449946840412 & -1.98232400889256 \tabularnewline
71 & 116.7 & 112.212583758752 & -3.44447874795269 & 124.631894989201 & -4.48741624124804 \tabularnewline
72 & 112.8 & 103.993399487164 & -2.05805237366806 & 123.664652886504 & -8.80660051283577 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195151&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]59.8[/C][C]61.6538084223577[/C][C]1.9669040841456[/C][C]55.9792874934967[/C][C]1.85380842235768[/C][/ROW]
[ROW][C]2[/C][C]60.7[/C][C]61.4968823539063[/C][C]2.94141775775716[/C][C]56.9616998883365[/C][C]0.796882353906305[/C][/ROW]
[ROW][C]3[/C][C]59.7[/C][C]60.7399549099757[/C][C]0.715932806847928[/C][C]57.9441122831764[/C][C]1.03995490997572[/C][/ROW]
[ROW][C]4[/C][C]60.2[/C][C]61.1005252021391[/C][C]0.328383462736385[/C][C]58.9710913351245[/C][C]0.900525202139121[/C][/ROW]
[ROW][C]5[/C][C]61.3[/C][C]61.577759652431[/C][C]1.02416996049631[/C][C]59.9980703870726[/C][C]0.277759652431044[/C][/ROW]
[ROW][C]6[/C][C]59.8[/C][C]56.0096683934645[/C][C]2.54768927939231[/C][C]61.0426423271432[/C][C]-3.79033160653553[/C][/ROW]
[ROW][C]7[/C][C]61.2[/C][C]59.1415826680399[/C][C]1.17120306474638[/C][C]62.0872142672138[/C][C]-2.05841733196015[/C][/ROW]
[ROW][C]8[/C][C]59.3[/C][C]55.7314582716522[/C][C]-0.234781996314501[/C][C]63.1033237246623[/C][C]-3.56854172834782[/C][/ROW]
[ROW][C]9[/C][C]59.4[/C][C]55.5713331321902[/C][C]-0.890766314301069[/C][C]64.1194331821109[/C][C]-3.82866686780979[/C][/ROW]
[ROW][C]10[/C][C]63.1[/C][C]65.0909951477517[/C][C]-4.0676228315198[/C][C]65.1766276837681[/C][C]1.99099514775168[/C][/ROW]
[ROW][C]11[/C][C]68[/C][C]73.2106565625273[/C][C]-3.44447874795269[/C][C]66.2338221854254[/C][C]5.21065656252733[/C][/ROW]
[ROW][C]12[/C][C]69.4[/C][C]73.449039284519[/C][C]-2.05805237366806[/C][C]67.4090130891491[/C][C]4.04903928451901[/C][/ROW]
[ROW][C]13[/C][C]70.2[/C][C]69.8488919229817[/C][C]1.9669040841456[/C][C]68.5842039928727[/C][C]-0.351108077018338[/C][/ROW]
[ROW][C]14[/C][C]72.6[/C][C]72.3079254278309[/C][C]2.94141775775716[/C][C]69.9506568144119[/C][C]-0.292074572169085[/C][/ROW]
[ROW][C]15[/C][C]72.1[/C][C]72.1669575572009[/C][C]0.715932806847928[/C][C]71.3171096359511[/C][C]0.0669575572009506[/C][/ROW]
[ROW][C]16[/C][C]69.7[/C][C]66.0495157259965[/C][C]0.328383462736385[/C][C]73.0221008112671[/C][C]-3.65048427400346[/C][/ROW]
[ROW][C]17[/C][C]71.5[/C][C]67.2487380529206[/C][C]1.02416996049631[/C][C]74.727091986583[/C][C]-4.25126194707936[/C][/ROW]
[ROW][C]18[/C][C]75.7[/C][C]71.7889321627512[/C][C]2.54768927939231[/C][C]77.0633785578565[/C][C]-3.91106783724877[/C][/ROW]
[ROW][C]19[/C][C]76[/C][C]71.4291318061238[/C][C]1.17120306474638[/C][C]79.3996651291298[/C][C]-4.57086819387622[/C][/ROW]
[ROW][C]20[/C][C]76.4[/C][C]70.3954127160667[/C][C]-0.234781996314501[/C][C]82.6393692802478[/C][C]-6.00458728393326[/C][/ROW]
[ROW][C]21[/C][C]83.8[/C][C]82.6116928829354[/C][C]-0.890766314301069[/C][C]85.8790734313657[/C][C]-1.18830711706462[/C][/ROW]
[ROW][C]22[/C][C]86.2[/C][C]86.8317534248259[/C][C]-4.0676228315198[/C][C]89.6358694066939[/C][C]0.631753424825888[/C][/ROW]
[ROW][C]23[/C][C]88.5[/C][C]87.0518133659306[/C][C]-3.44447874795269[/C][C]93.3926653820221[/C][C]-1.44818663406943[/C][/ROW]
[ROW][C]24[/C][C]95.9[/C][C]96.7514853475843[/C][C]-2.05805237366806[/C][C]97.1065670260838[/C][C]0.851485347584287[/C][/ROW]
[ROW][C]25[/C][C]103.1[/C][C]103.412627245709[/C][C]1.9669040841456[/C][C]100.820468670145[/C][C]0.312627245708953[/C][/ROW]
[ROW][C]26[/C][C]113.5[/C][C]120.598595385731[/C][C]2.94141775775716[/C][C]103.459986856511[/C][C]7.09859538573144[/C][/ROW]
[ROW][C]27[/C][C]115.7[/C][C]124.584562150275[/C][C]0.715932806847928[/C][C]106.099505042877[/C][C]8.8845621502747[/C][/ROW]
[ROW][C]28[/C][C]113.1[/C][C]119.202222574922[/C][C]0.328383462736385[/C][C]106.669393962341[/C][C]6.10222257492228[/C][/ROW]
[ROW][C]29[/C][C]112.7[/C][C]117.136547157698[/C][C]1.02416996049631[/C][C]107.239282881805[/C][C]4.4365471576984[/C][/ROW]
[ROW][C]30[/C][C]121.9[/C][C]135.421060057993[/C][C]2.54768927939231[/C][C]105.831250662615[/C][C]13.5210600579929[/C][/ROW]
[ROW][C]31[/C][C]120.3[/C][C]135.005578491829[/C][C]1.17120306474638[/C][C]104.423218443424[/C][C]14.7055784918293[/C][/ROW]
[ROW][C]32[/C][C]108.7[/C][C]115.806004017201[/C][C]-0.234781996314501[/C][C]101.828777979113[/C][C]7.1060040172013[/C][/ROW]
[ROW][C]33[/C][C]102.8[/C][C]107.256428799499[/C][C]-0.890766314301069[/C][C]99.2343375148021[/C][C]4.45642879949895[/C][/ROW]
[ROW][C]34[/C][C]83.4[/C][C]74.338739129329[/C][C]-4.0676228315198[/C][C]96.5288837021908[/C][C]-9.06126087067102[/C][/ROW]
[ROW][C]35[/C][C]79.4[/C][C]68.4210488583732[/C][C]-3.44447874795269[/C][C]93.8234298895795[/C][C]-10.9789511416268[/C][/ROW]
[ROW][C]36[/C][C]77.8[/C][C]65.9559727311261[/C][C]-2.05805237366806[/C][C]91.7020796425419[/C][C]-11.8440272688739[/C][/ROW]
[ROW][C]37[/C][C]85.7[/C][C]79.8523665203501[/C][C]1.9669040841456[/C][C]89.5807293955043[/C][C]-5.84763347964987[/C][/ROW]
[ROW][C]38[/C][C]83.2[/C][C]74.9387484259075[/C][C]2.94141775775716[/C][C]88.5198338163353[/C][C]-8.26125157409247[/C][/ROW]
[ROW][C]39[/C][C]82[/C][C]75.8251289559857[/C][C]0.715932806847928[/C][C]87.4589382371664[/C][C]-6.1748710440143[/C][/ROW]
[ROW][C]40[/C][C]86.9[/C][C]85.6430974043875[/C][C]0.328383462736385[/C][C]87.8285191328761[/C][C]-1.25690259561247[/C][/ROW]
[ROW][C]41[/C][C]95.7[/C][C]102.177730010918[/C][C]1.02416996049631[/C][C]88.1981000285858[/C][C]6.47773001091785[/C][/ROW]
[ROW][C]42[/C][C]97.9[/C][C]103.939073250935[/C][C]2.54768927939231[/C][C]89.3132374696727[/C][C]6.039073250935[/C][/ROW]
[ROW][C]43[/C][C]89.3[/C][C]87.0004220244941[/C][C]1.17120306474638[/C][C]90.4283749107595[/C][C]-2.29957797550591[/C][/ROW]
[ROW][C]44[/C][C]91.5[/C][C]92.0530182424162[/C][C]-0.234781996314501[/C][C]91.1817637538983[/C][C]0.553018242416186[/C][/ROW]
[ROW][C]45[/C][C]86.8[/C][C]82.555613717264[/C][C]-0.890766314301069[/C][C]91.9351525970371[/C][C]-4.24438628273602[/C][/ROW]
[ROW][C]46[/C][C]91[/C][C]94.0946193903278[/C][C]-4.0676228315198[/C][C]91.973003441192[/C][C]3.09461939032781[/C][/ROW]
[ROW][C]47[/C][C]93.8[/C][C]99.0336244626058[/C][C]-3.44447874795269[/C][C]92.0108542853469[/C][C]5.23362446260582[/C][/ROW]
[ROW][C]48[/C][C]96.8[/C][C]103.810757931464[/C][C]-2.05805237366806[/C][C]91.8472944422041[/C][C]7.01075793146393[/C][/ROW]
[ROW][C]49[/C][C]95.7[/C][C]97.749361316793[/C][C]1.9669040841456[/C][C]91.6837345990614[/C][C]2.04936131679302[/C][/ROW]
[ROW][C]50[/C][C]91.4[/C][C]87.6798167959099[/C][C]2.94141775775716[/C][C]92.178765446333[/C][C]-3.72018320409013[/C][/ROW]
[ROW][C]51[/C][C]88.7[/C][C]84.0102708995475[/C][C]0.715932806847928[/C][C]92.6737962936046[/C][C]-4.68972910045252[/C][/ROW]
[ROW][C]52[/C][C]88.2[/C][C]81.9287097053816[/C][C]0.328383462736385[/C][C]94.142906831882[/C][C]-6.2712902946184[/C][/ROW]
[ROW][C]53[/C][C]87.7[/C][C]78.7638126693442[/C][C]1.02416996049631[/C][C]95.6120173701594[/C][C]-8.93618733065576[/C][/ROW]
[ROW][C]54[/C][C]89.5[/C][C]78.1758431902795[/C][C]2.54768927939231[/C][C]98.2764675303282[/C][C]-11.3241568097205[/C][/ROW]
[ROW][C]55[/C][C]95.6[/C][C]89.0878792447566[/C][C]1.17120306474638[/C][C]100.940917690497[/C][C]-6.51212075524342[/C][/ROW]
[ROW][C]56[/C][C]100.5[/C][C]96.4608339222109[/C][C]-0.234781996314501[/C][C]104.773948074104[/C][C]-4.03916607778913[/C][/ROW]
[ROW][C]57[/C][C]106.3[/C][C]104.883787856591[/C][C]-0.890766314301069[/C][C]108.60697845771[/C][C]-1.41621214340917[/C][/ROW]
[ROW][C]58[/C][C]112[/C][C]115.253233034644[/C][C]-4.0676228315198[/C][C]112.814389796876[/C][C]3.25323303464361[/C][/ROW]
[ROW][C]59[/C][C]117.7[/C][C]121.822677611911[/C][C]-3.44447874795269[/C][C]117.021801136042[/C][C]4.12267761191058[/C][/ROW]
[ROW][C]60[/C][C]125[/C][C]131.471164618444[/C][C]-2.05805237366806[/C][C]120.586887755224[/C][C]6.47116461844428[/C][/ROW]
[ROW][C]61[/C][C]132.4[/C][C]138.681121541449[/C][C]1.9669040841456[/C][C]124.151974374405[/C][C]6.28112154144897[/C][/ROW]
[ROW][C]62[/C][C]138.1[/C][C]146.812034821301[/C][C]2.94141775775716[/C][C]126.446547420942[/C][C]8.71203482130127[/C][/ROW]
[ROW][C]63[/C][C]134.7[/C][C]139.942946725674[/C][C]0.715932806847928[/C][C]128.741120467478[/C][C]5.24294672567441[/C][/ROW]
[ROW][C]64[/C][C]136.7[/C][C]144.472287048544[/C][C]0.328383462736385[/C][C]128.599329488719[/C][C]7.77228704854431[/C][/ROW]
[ROW][C]65[/C][C]134.3[/C][C]139.118291529543[/C][C]1.02416996049631[/C][C]128.457538509961[/C][C]4.81829152954276[/C][/ROW]
[ROW][C]66[/C][C]131.6[/C][C]132.654887018411[/C][C]2.54768927939231[/C][C]127.997423702197[/C][C]1.05488701841065[/C][/ROW]
[ROW][C]67[/C][C]129.8[/C][C]130.89148804082[/C][C]1.17120306474638[/C][C]127.537308894433[/C][C]1.09148804082048[/C][/ROW]
[ROW][C]68[/C][C]131.9[/C][C]137.132128203286[/C][C]-0.234781996314501[/C][C]126.902653793029[/C][C]5.23212820328592[/C][/ROW]
[ROW][C]69[/C][C]129.8[/C][C]134.222767622677[/C][C]-0.890766314301069[/C][C]126.267998691624[/C][C]4.42276762267709[/C][/ROW]
[ROW][C]70[/C][C]119.4[/C][C]117.417675991107[/C][C]-4.0676228315198[/C][C]125.449946840412[/C][C]-1.98232400889256[/C][/ROW]
[ROW][C]71[/C][C]116.7[/C][C]112.212583758752[/C][C]-3.44447874795269[/C][C]124.631894989201[/C][C]-4.48741624124804[/C][/ROW]
[ROW][C]72[/C][C]112.8[/C][C]103.993399487164[/C][C]-2.05805237366806[/C][C]123.664652886504[/C][C]-8.80660051283577[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195151&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195151&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
159.861.65380842235771.966904084145655.97928749349671.85380842235768
260.761.49688235390632.9414177577571656.96169988833650.796882353906305
359.760.73995490997570.71593280684792857.94411228317641.03995490997572
460.261.10052520213910.32838346273638558.97109133512450.900525202139121
561.361.5777596524311.0241699604963159.99807038707260.277759652431044
659.856.00966839346452.5476892793923161.0426423271432-3.79033160653553
761.259.14158266803991.1712030647463862.0872142672138-2.05841733196015
859.355.7314582716522-0.23478199631450163.1033237246623-3.56854172834782
959.455.5713331321902-0.89076631430106964.1194331821109-3.82866686780979
1063.165.0909951477517-4.067622831519865.17662768376811.99099514775168
116873.2106565625273-3.4444787479526966.23382218542545.21065656252733
1269.473.449039284519-2.0580523736680667.40901308914914.04903928451901
1370.269.84889192298171.966904084145668.5842039928727-0.351108077018338
1472.672.30792542783092.9414177577571669.9506568144119-0.292074572169085
1572.172.16695755720090.71593280684792871.31710963595110.0669575572009506
1669.766.04951572599650.32838346273638573.0221008112671-3.65048427400346
1771.567.24873805292061.0241699604963174.727091986583-4.25126194707936
1875.771.78893216275122.5476892793923177.0633785578565-3.91106783724877
197671.42913180612381.1712030647463879.3996651291298-4.57086819387622
2076.470.3954127160667-0.23478199631450182.6393692802478-6.00458728393326
2183.882.6116928829354-0.89076631430106985.8790734313657-1.18830711706462
2286.286.8317534248259-4.067622831519889.63586940669390.631753424825888
2388.587.0518133659306-3.4444787479526993.3926653820221-1.44818663406943
2495.996.7514853475843-2.0580523736680697.10656702608380.851485347584287
25103.1103.4126272457091.9669040841456100.8204686701450.312627245708953
26113.5120.5985953857312.94141775775716103.4599868565117.09859538573144
27115.7124.5845621502750.715932806847928106.0995050428778.8845621502747
28113.1119.2022225749220.328383462736385106.6693939623416.10222257492228
29112.7117.1365471576981.02416996049631107.2392828818054.4365471576984
30121.9135.4210600579932.54768927939231105.83125066261513.5210600579929
31120.3135.0055784918291.17120306474638104.42321844342414.7055784918293
32108.7115.806004017201-0.234781996314501101.8287779791137.1060040172013
33102.8107.256428799499-0.89076631430106999.23433751480214.45642879949895
3483.474.338739129329-4.067622831519896.5288837021908-9.06126087067102
3579.468.4210488583732-3.4444787479526993.8234298895795-10.9789511416268
3677.865.9559727311261-2.0580523736680691.7020796425419-11.8440272688739
3785.779.85236652035011.966904084145689.5807293955043-5.84763347964987
3883.274.93874842590752.9414177577571688.5198338163353-8.26125157409247
398275.82512895598570.71593280684792887.4589382371664-6.1748710440143
4086.985.64309740438750.32838346273638587.8285191328761-1.25690259561247
4195.7102.1777300109181.0241699604963188.19810002858586.47773001091785
4297.9103.9390732509352.5476892793923189.31323746967276.039073250935
4389.387.00042202449411.1712030647463890.4283749107595-2.29957797550591
4491.592.0530182424162-0.23478199631450191.18176375389830.553018242416186
4586.882.555613717264-0.89076631430106991.9351525970371-4.24438628273602
469194.0946193903278-4.067622831519891.9730034411923.09461939032781
4793.899.0336244626058-3.4444787479526992.01085428534695.23362446260582
4896.8103.810757931464-2.0580523736680691.84729444220417.01075793146393
4995.797.7493613167931.966904084145691.68373459906142.04936131679302
5091.487.67981679590992.9414177577571692.178765446333-3.72018320409013
5188.784.01027089954750.71593280684792892.6737962936046-4.68972910045252
5288.281.92870970538160.32838346273638594.142906831882-6.2712902946184
5387.778.76381266934421.0241699604963195.6120173701594-8.93618733065576
5489.578.17584319027952.5476892793923198.2764675303282-11.3241568097205
5595.689.08787924475661.17120306474638100.940917690497-6.51212075524342
56100.596.4608339222109-0.234781996314501104.773948074104-4.03916607778913
57106.3104.883787856591-0.890766314301069108.60697845771-1.41621214340917
58112115.253233034644-4.0676228315198112.8143897968763.25323303464361
59117.7121.822677611911-3.44447874795269117.0218011360424.12267761191058
60125131.471164618444-2.05805237366806120.5868877552246.47116461844428
61132.4138.6811215414491.9669040841456124.1519743744056.28112154144897
62138.1146.8120348213012.94141775775716126.4465474209428.71203482130127
63134.7139.9429467256740.715932806847928128.7411204674785.24294672567441
64136.7144.4722870485440.328383462736385128.5993294887197.77228704854431
65134.3139.1182915295431.02416996049631128.4575385099614.81829152954276
66131.6132.6548870184112.54768927939231127.9974237021971.05488701841065
67129.8130.891488040821.17120306474638127.5373088944331.09148804082048
68131.9137.132128203286-0.234781996314501126.9026537930295.23212820328592
69129.8134.222767622677-0.890766314301069126.2679986916244.42276762267709
70119.4117.417675991107-4.0676228315198125.449946840412-1.98232400889256
71116.7112.212583758752-3.44447874795269124.631894989201-4.48741624124804
72112.8103.993399487164-2.05805237366806123.664652886504-8.80660051283577



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')