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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 10:02:09 -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/t13542877494o1p61avvj2fzu6.htm/, Retrieved Fri, 03 May 2024 18:48:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195082, Retrieved Fri, 03 May 2024 18:48:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54
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] [195a7509fef65339447329cdcf8835cc] [Current]
- R  D        [Decomposition by Loess] [] [2012-11-30 18:04:55] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
112.8
116.7
119.4
129.8
131.9
129.8
131.6
134.3
136.7
134.7
138.1
132.4
125
117.7
112
106.3
100.5
95.6
89.5
87.7
88.2
88.7
91.4
95.7
96.8
93.8
91
86.8
91.5
89.3
97.9
95.7
86.9
82
83.2
85.7
77.8
79.4
83.4
102.8
108.7
120.3
121.9
112.7
113.1
115.7
113.5
103.1
95.9
88.5
86.2
83.8
76.4
76
75.7
71.5
69.7
72.1
72.6
70.2
69.4
68
63.1
59.4
59.3
61.2
59.8
61.3
60.2
59.7
60.7
59.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195082&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195082&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195082&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'Sir Maurice George Kendall' @ kendall.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=195082&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=195082&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195082&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
1112.8104.004059851371-2.0807890984791123.676729247108-8.7959401486291
2116.7112.254318404285-3.44625576871267124.591937364428-4.44568159571499
3119.4117.337908150898-4.04505363264473125.507145481747-2.06209184910237
4129.8134.30481331464-0.933879554140565126.22906623954.50481331464024
5131.9137.071718478383-0.222705475636347126.9509869972545.17171847838283
6129.8130.9641108108671.13886564682003127.4970235423131.1641108108673
7131.6132.6065031907822.55043672184628128.0430600873721.00650319078187
8134.3139.1778987461041.01378113225029128.4083201216464.87789874610371
9136.7144.3492926571740.277127186905867128.773580155927.64929265717399
10134.7140.7238355901680.878929430043742127.7972349797886.02383559016779
11138.1146.4817133848062.89739681153747126.8208898036578.38171338480575
12132.4138.9975466006641.97214466987569123.8303087294616.59754660066372
13125131.241061443215-2.0807890984791120.8397276552646.24106144321468
14117.7121.99371474829-3.44625576871267116.8525410204234.29371474828994
15112115.179699247064-4.04505363264473112.8653543855813.17969924706371
16106.3104.827933068397-0.933879554140565108.705946485744-1.47206693160298
17100.596.6761668897303-0.222705475636347104.546538585906-3.82383311026973
1895.688.81338978025631.13886564682003101.247744572924-6.78661021974365
1989.578.50061271821262.5504367218462897.9489505599411-10.9993872817874
2087.778.47633422546321.0137811322502995.9098846422866-9.22366577453684
2188.282.25205408846220.27712718690586793.870818724632-5.94794591153783
2288.783.60861075913310.87892943004374292.9124598108232-5.09138924086689
2391.487.94850229144822.8973968115374791.9541008970143-3.4514977085518
2495.797.56620396352071.9721446698756991.86165136660361.86620396352075
2596.8103.911587262286-2.080789098479191.76920183619287.11158726228629
2693.899.0933241781946-3.4462557687126791.95293159051815.2933241781946
279193.9083922878014-4.0450536326447392.13666134484332.90839228780142
2886.882.7878366080443-0.93387955414056591.7460429460962-4.01216339195567
2991.591.8672809282872-0.22270547563634791.35542454734910.367280928287201
3089.387.13829047097881.1388656468200390.3228438822012-2.16170952902121
3197.9103.9593000611012.5504367218462889.29026321705326.05930006110052
3295.7101.9901363945871.0137811322502988.39608247316286.29013639458687
3386.986.02097108382160.27712718690586787.5019017292725-0.879028916178356
348275.28543365851980.87892943004374287.8356369114365-6.71456634148025
3583.275.3332310948622.8973968115374788.1693720936005-7.86676890513799
3685.779.58806442994091.9721446698756989.8397909001834-6.11193557005906
3777.866.1705793917129-2.080789098479191.5102097067662-11.6294206082871
3879.468.2747440897624-3.4462557687126793.9715116789503-11.1252559102377
3983.474.4122399815103-4.0450536326447396.4328136511344-8.98776001848969
40102.8107.316951821286-0.93387955414056599.21692773285424.51695182128631
41108.7115.621663661062-0.222705475636347102.0010418145746.92166366106228
42120.3135.3411699473131.13886564682003104.11996440586715.0411699473131
43121.9135.0106762809942.55043672184628106.2388869971613.110676280994
44112.7117.6486550719551.01378113225029106.7375637957944.94865507195533
45113.1118.6866322186650.277127186905867107.2362405944295.5866322186651
46115.7124.9621640822970.878929430043742105.5589064876599.26216408229676
47113.5120.2210308075732.89739681153747103.881572380896.72103080757253
48103.1103.673492654521.97214466987569100.5543626756040.573492654520038
4995.996.6536361281606-2.080789098479197.22715297031850.753636128160565
5088.587.0508275217752-3.4462557687126793.3954282469374-1.44917247822477
5186.286.8813501090884-4.0450536326447389.56370352355630.681350109088399
5283.882.529852985116-0.93387955414056586.0040265690245-1.27014701488397
5376.470.5783558611436-0.22270547563634782.4443496144927-5.82164413885639
547671.21670279057321.1388656468200379.6444315626068-4.78329720942681
5575.772.00504976743292.5504367218462876.8445135107208-3.69495023256709
5671.567.10742635235841.0137811322502974.8787925153913-4.39257364764163
5769.766.20980129303230.27712718690586772.9130715200619-3.49019870696773
5872.171.92163309879730.87892943004374271.3994374711589-0.178366901202679
5972.672.41679976620652.8973968115374769.885803422256-0.183200233793499
6070.269.79841829295261.9721446698756968.6294370371717-0.401581707047356
6169.473.5077184463918-2.080789098479167.37307065208734.10771844639177
626873.182960078878-3.4462557687126766.26329568983465.18296007887804
6363.165.0915329050628-4.0450536326447365.15352072758191.99153290506281
6459.455.6001771853178-0.93387955414056564.1337023688227-3.79982281468217
6559.355.7088214655728-0.22270547563634763.1138840100636-3.59117853442722
6661.259.1839612406111.1388656468200362.077173112569-2.016038759389
6759.856.00910106307932.5504367218462861.0404622150744-3.79089893692066
6861.361.58789184582641.0137811322502959.99832702192330.287891845826373
6960.261.16668098432190.27712718690586758.95619182877230.966680984321854
7059.760.57290246796540.87892943004374257.94816810199080.872902467965432
7160.761.56245881325322.8973968115374756.94014437520940.862458813253149
7259.861.65967531284821.9721446698756955.96818001727621.85967531284815

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 112.8 & 104.004059851371 & -2.0807890984791 & 123.676729247108 & -8.7959401486291 \tabularnewline
2 & 116.7 & 112.254318404285 & -3.44625576871267 & 124.591937364428 & -4.44568159571499 \tabularnewline
3 & 119.4 & 117.337908150898 & -4.04505363264473 & 125.507145481747 & -2.06209184910237 \tabularnewline
4 & 129.8 & 134.30481331464 & -0.933879554140565 & 126.2290662395 & 4.50481331464024 \tabularnewline
5 & 131.9 & 137.071718478383 & -0.222705475636347 & 126.950986997254 & 5.17171847838283 \tabularnewline
6 & 129.8 & 130.964110810867 & 1.13886564682003 & 127.497023542313 & 1.1641108108673 \tabularnewline
7 & 131.6 & 132.606503190782 & 2.55043672184628 & 128.043060087372 & 1.00650319078187 \tabularnewline
8 & 134.3 & 139.177898746104 & 1.01378113225029 & 128.408320121646 & 4.87789874610371 \tabularnewline
9 & 136.7 & 144.349292657174 & 0.277127186905867 & 128.77358015592 & 7.64929265717399 \tabularnewline
10 & 134.7 & 140.723835590168 & 0.878929430043742 & 127.797234979788 & 6.02383559016779 \tabularnewline
11 & 138.1 & 146.481713384806 & 2.89739681153747 & 126.820889803657 & 8.38171338480575 \tabularnewline
12 & 132.4 & 138.997546600664 & 1.97214466987569 & 123.830308729461 & 6.59754660066372 \tabularnewline
13 & 125 & 131.241061443215 & -2.0807890984791 & 120.839727655264 & 6.24106144321468 \tabularnewline
14 & 117.7 & 121.99371474829 & -3.44625576871267 & 116.852541020423 & 4.29371474828994 \tabularnewline
15 & 112 & 115.179699247064 & -4.04505363264473 & 112.865354385581 & 3.17969924706371 \tabularnewline
16 & 106.3 & 104.827933068397 & -0.933879554140565 & 108.705946485744 & -1.47206693160298 \tabularnewline
17 & 100.5 & 96.6761668897303 & -0.222705475636347 & 104.546538585906 & -3.82383311026973 \tabularnewline
18 & 95.6 & 88.8133897802563 & 1.13886564682003 & 101.247744572924 & -6.78661021974365 \tabularnewline
19 & 89.5 & 78.5006127182126 & 2.55043672184628 & 97.9489505599411 & -10.9993872817874 \tabularnewline
20 & 87.7 & 78.4763342254632 & 1.01378113225029 & 95.9098846422866 & -9.22366577453684 \tabularnewline
21 & 88.2 & 82.2520540884622 & 0.277127186905867 & 93.870818724632 & -5.94794591153783 \tabularnewline
22 & 88.7 & 83.6086107591331 & 0.878929430043742 & 92.9124598108232 & -5.09138924086689 \tabularnewline
23 & 91.4 & 87.9485022914482 & 2.89739681153747 & 91.9541008970143 & -3.4514977085518 \tabularnewline
24 & 95.7 & 97.5662039635207 & 1.97214466987569 & 91.8616513666036 & 1.86620396352075 \tabularnewline
25 & 96.8 & 103.911587262286 & -2.0807890984791 & 91.7692018361928 & 7.11158726228629 \tabularnewline
26 & 93.8 & 99.0933241781946 & -3.44625576871267 & 91.9529315905181 & 5.2933241781946 \tabularnewline
27 & 91 & 93.9083922878014 & -4.04505363264473 & 92.1366613448433 & 2.90839228780142 \tabularnewline
28 & 86.8 & 82.7878366080443 & -0.933879554140565 & 91.7460429460962 & -4.01216339195567 \tabularnewline
29 & 91.5 & 91.8672809282872 & -0.222705475636347 & 91.3554245473491 & 0.367280928287201 \tabularnewline
30 & 89.3 & 87.1382904709788 & 1.13886564682003 & 90.3228438822012 & -2.16170952902121 \tabularnewline
31 & 97.9 & 103.959300061101 & 2.55043672184628 & 89.2902632170532 & 6.05930006110052 \tabularnewline
32 & 95.7 & 101.990136394587 & 1.01378113225029 & 88.3960824731628 & 6.29013639458687 \tabularnewline
33 & 86.9 & 86.0209710838216 & 0.277127186905867 & 87.5019017292725 & -0.879028916178356 \tabularnewline
34 & 82 & 75.2854336585198 & 0.878929430043742 & 87.8356369114365 & -6.71456634148025 \tabularnewline
35 & 83.2 & 75.333231094862 & 2.89739681153747 & 88.1693720936005 & -7.86676890513799 \tabularnewline
36 & 85.7 & 79.5880644299409 & 1.97214466987569 & 89.8397909001834 & -6.11193557005906 \tabularnewline
37 & 77.8 & 66.1705793917129 & -2.0807890984791 & 91.5102097067662 & -11.6294206082871 \tabularnewline
38 & 79.4 & 68.2747440897624 & -3.44625576871267 & 93.9715116789503 & -11.1252559102377 \tabularnewline
39 & 83.4 & 74.4122399815103 & -4.04505363264473 & 96.4328136511344 & -8.98776001848969 \tabularnewline
40 & 102.8 & 107.316951821286 & -0.933879554140565 & 99.2169277328542 & 4.51695182128631 \tabularnewline
41 & 108.7 & 115.621663661062 & -0.222705475636347 & 102.001041814574 & 6.92166366106228 \tabularnewline
42 & 120.3 & 135.341169947313 & 1.13886564682003 & 104.119964405867 & 15.0411699473131 \tabularnewline
43 & 121.9 & 135.010676280994 & 2.55043672184628 & 106.23888699716 & 13.110676280994 \tabularnewline
44 & 112.7 & 117.648655071955 & 1.01378113225029 & 106.737563795794 & 4.94865507195533 \tabularnewline
45 & 113.1 & 118.686632218665 & 0.277127186905867 & 107.236240594429 & 5.5866322186651 \tabularnewline
46 & 115.7 & 124.962164082297 & 0.878929430043742 & 105.558906487659 & 9.26216408229676 \tabularnewline
47 & 113.5 & 120.221030807573 & 2.89739681153747 & 103.88157238089 & 6.72103080757253 \tabularnewline
48 & 103.1 & 103.67349265452 & 1.97214466987569 & 100.554362675604 & 0.573492654520038 \tabularnewline
49 & 95.9 & 96.6536361281606 & -2.0807890984791 & 97.2271529703185 & 0.753636128160565 \tabularnewline
50 & 88.5 & 87.0508275217752 & -3.44625576871267 & 93.3954282469374 & -1.44917247822477 \tabularnewline
51 & 86.2 & 86.8813501090884 & -4.04505363264473 & 89.5637035235563 & 0.681350109088399 \tabularnewline
52 & 83.8 & 82.529852985116 & -0.933879554140565 & 86.0040265690245 & -1.27014701488397 \tabularnewline
53 & 76.4 & 70.5783558611436 & -0.222705475636347 & 82.4443496144927 & -5.82164413885639 \tabularnewline
54 & 76 & 71.2167027905732 & 1.13886564682003 & 79.6444315626068 & -4.78329720942681 \tabularnewline
55 & 75.7 & 72.0050497674329 & 2.55043672184628 & 76.8445135107208 & -3.69495023256709 \tabularnewline
56 & 71.5 & 67.1074263523584 & 1.01378113225029 & 74.8787925153913 & -4.39257364764163 \tabularnewline
57 & 69.7 & 66.2098012930323 & 0.277127186905867 & 72.9130715200619 & -3.49019870696773 \tabularnewline
58 & 72.1 & 71.9216330987973 & 0.878929430043742 & 71.3994374711589 & -0.178366901202679 \tabularnewline
59 & 72.6 & 72.4167997662065 & 2.89739681153747 & 69.885803422256 & -0.183200233793499 \tabularnewline
60 & 70.2 & 69.7984182929526 & 1.97214466987569 & 68.6294370371717 & -0.401581707047356 \tabularnewline
61 & 69.4 & 73.5077184463918 & -2.0807890984791 & 67.3730706520873 & 4.10771844639177 \tabularnewline
62 & 68 & 73.182960078878 & -3.44625576871267 & 66.2632956898346 & 5.18296007887804 \tabularnewline
63 & 63.1 & 65.0915329050628 & -4.04505363264473 & 65.1535207275819 & 1.99153290506281 \tabularnewline
64 & 59.4 & 55.6001771853178 & -0.933879554140565 & 64.1337023688227 & -3.79982281468217 \tabularnewline
65 & 59.3 & 55.7088214655728 & -0.222705475636347 & 63.1138840100636 & -3.59117853442722 \tabularnewline
66 & 61.2 & 59.183961240611 & 1.13886564682003 & 62.077173112569 & -2.016038759389 \tabularnewline
67 & 59.8 & 56.0091010630793 & 2.55043672184628 & 61.0404622150744 & -3.79089893692066 \tabularnewline
68 & 61.3 & 61.5878918458264 & 1.01378113225029 & 59.9983270219233 & 0.287891845826373 \tabularnewline
69 & 60.2 & 61.1666809843219 & 0.277127186905867 & 58.9561918287723 & 0.966680984321854 \tabularnewline
70 & 59.7 & 60.5729024679654 & 0.878929430043742 & 57.9481681019908 & 0.872902467965432 \tabularnewline
71 & 60.7 & 61.5624588132532 & 2.89739681153747 & 56.9401443752094 & 0.862458813253149 \tabularnewline
72 & 59.8 & 61.6596753128482 & 1.97214466987569 & 55.9681800172762 & 1.85967531284815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195082&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]112.8[/C][C]104.004059851371[/C][C]-2.0807890984791[/C][C]123.676729247108[/C][C]-8.7959401486291[/C][/ROW]
[ROW][C]2[/C][C]116.7[/C][C]112.254318404285[/C][C]-3.44625576871267[/C][C]124.591937364428[/C][C]-4.44568159571499[/C][/ROW]
[ROW][C]3[/C][C]119.4[/C][C]117.337908150898[/C][C]-4.04505363264473[/C][C]125.507145481747[/C][C]-2.06209184910237[/C][/ROW]
[ROW][C]4[/C][C]129.8[/C][C]134.30481331464[/C][C]-0.933879554140565[/C][C]126.2290662395[/C][C]4.50481331464024[/C][/ROW]
[ROW][C]5[/C][C]131.9[/C][C]137.071718478383[/C][C]-0.222705475636347[/C][C]126.950986997254[/C][C]5.17171847838283[/C][/ROW]
[ROW][C]6[/C][C]129.8[/C][C]130.964110810867[/C][C]1.13886564682003[/C][C]127.497023542313[/C][C]1.1641108108673[/C][/ROW]
[ROW][C]7[/C][C]131.6[/C][C]132.606503190782[/C][C]2.55043672184628[/C][C]128.043060087372[/C][C]1.00650319078187[/C][/ROW]
[ROW][C]8[/C][C]134.3[/C][C]139.177898746104[/C][C]1.01378113225029[/C][C]128.408320121646[/C][C]4.87789874610371[/C][/ROW]
[ROW][C]9[/C][C]136.7[/C][C]144.349292657174[/C][C]0.277127186905867[/C][C]128.77358015592[/C][C]7.64929265717399[/C][/ROW]
[ROW][C]10[/C][C]134.7[/C][C]140.723835590168[/C][C]0.878929430043742[/C][C]127.797234979788[/C][C]6.02383559016779[/C][/ROW]
[ROW][C]11[/C][C]138.1[/C][C]146.481713384806[/C][C]2.89739681153747[/C][C]126.820889803657[/C][C]8.38171338480575[/C][/ROW]
[ROW][C]12[/C][C]132.4[/C][C]138.997546600664[/C][C]1.97214466987569[/C][C]123.830308729461[/C][C]6.59754660066372[/C][/ROW]
[ROW][C]13[/C][C]125[/C][C]131.241061443215[/C][C]-2.0807890984791[/C][C]120.839727655264[/C][C]6.24106144321468[/C][/ROW]
[ROW][C]14[/C][C]117.7[/C][C]121.99371474829[/C][C]-3.44625576871267[/C][C]116.852541020423[/C][C]4.29371474828994[/C][/ROW]
[ROW][C]15[/C][C]112[/C][C]115.179699247064[/C][C]-4.04505363264473[/C][C]112.865354385581[/C][C]3.17969924706371[/C][/ROW]
[ROW][C]16[/C][C]106.3[/C][C]104.827933068397[/C][C]-0.933879554140565[/C][C]108.705946485744[/C][C]-1.47206693160298[/C][/ROW]
[ROW][C]17[/C][C]100.5[/C][C]96.6761668897303[/C][C]-0.222705475636347[/C][C]104.546538585906[/C][C]-3.82383311026973[/C][/ROW]
[ROW][C]18[/C][C]95.6[/C][C]88.8133897802563[/C][C]1.13886564682003[/C][C]101.247744572924[/C][C]-6.78661021974365[/C][/ROW]
[ROW][C]19[/C][C]89.5[/C][C]78.5006127182126[/C][C]2.55043672184628[/C][C]97.9489505599411[/C][C]-10.9993872817874[/C][/ROW]
[ROW][C]20[/C][C]87.7[/C][C]78.4763342254632[/C][C]1.01378113225029[/C][C]95.9098846422866[/C][C]-9.22366577453684[/C][/ROW]
[ROW][C]21[/C][C]88.2[/C][C]82.2520540884622[/C][C]0.277127186905867[/C][C]93.870818724632[/C][C]-5.94794591153783[/C][/ROW]
[ROW][C]22[/C][C]88.7[/C][C]83.6086107591331[/C][C]0.878929430043742[/C][C]92.9124598108232[/C][C]-5.09138924086689[/C][/ROW]
[ROW][C]23[/C][C]91.4[/C][C]87.9485022914482[/C][C]2.89739681153747[/C][C]91.9541008970143[/C][C]-3.4514977085518[/C][/ROW]
[ROW][C]24[/C][C]95.7[/C][C]97.5662039635207[/C][C]1.97214466987569[/C][C]91.8616513666036[/C][C]1.86620396352075[/C][/ROW]
[ROW][C]25[/C][C]96.8[/C][C]103.911587262286[/C][C]-2.0807890984791[/C][C]91.7692018361928[/C][C]7.11158726228629[/C][/ROW]
[ROW][C]26[/C][C]93.8[/C][C]99.0933241781946[/C][C]-3.44625576871267[/C][C]91.9529315905181[/C][C]5.2933241781946[/C][/ROW]
[ROW][C]27[/C][C]91[/C][C]93.9083922878014[/C][C]-4.04505363264473[/C][C]92.1366613448433[/C][C]2.90839228780142[/C][/ROW]
[ROW][C]28[/C][C]86.8[/C][C]82.7878366080443[/C][C]-0.933879554140565[/C][C]91.7460429460962[/C][C]-4.01216339195567[/C][/ROW]
[ROW][C]29[/C][C]91.5[/C][C]91.8672809282872[/C][C]-0.222705475636347[/C][C]91.3554245473491[/C][C]0.367280928287201[/C][/ROW]
[ROW][C]30[/C][C]89.3[/C][C]87.1382904709788[/C][C]1.13886564682003[/C][C]90.3228438822012[/C][C]-2.16170952902121[/C][/ROW]
[ROW][C]31[/C][C]97.9[/C][C]103.959300061101[/C][C]2.55043672184628[/C][C]89.2902632170532[/C][C]6.05930006110052[/C][/ROW]
[ROW][C]32[/C][C]95.7[/C][C]101.990136394587[/C][C]1.01378113225029[/C][C]88.3960824731628[/C][C]6.29013639458687[/C][/ROW]
[ROW][C]33[/C][C]86.9[/C][C]86.0209710838216[/C][C]0.277127186905867[/C][C]87.5019017292725[/C][C]-0.879028916178356[/C][/ROW]
[ROW][C]34[/C][C]82[/C][C]75.2854336585198[/C][C]0.878929430043742[/C][C]87.8356369114365[/C][C]-6.71456634148025[/C][/ROW]
[ROW][C]35[/C][C]83.2[/C][C]75.333231094862[/C][C]2.89739681153747[/C][C]88.1693720936005[/C][C]-7.86676890513799[/C][/ROW]
[ROW][C]36[/C][C]85.7[/C][C]79.5880644299409[/C][C]1.97214466987569[/C][C]89.8397909001834[/C][C]-6.11193557005906[/C][/ROW]
[ROW][C]37[/C][C]77.8[/C][C]66.1705793917129[/C][C]-2.0807890984791[/C][C]91.5102097067662[/C][C]-11.6294206082871[/C][/ROW]
[ROW][C]38[/C][C]79.4[/C][C]68.2747440897624[/C][C]-3.44625576871267[/C][C]93.9715116789503[/C][C]-11.1252559102377[/C][/ROW]
[ROW][C]39[/C][C]83.4[/C][C]74.4122399815103[/C][C]-4.04505363264473[/C][C]96.4328136511344[/C][C]-8.98776001848969[/C][/ROW]
[ROW][C]40[/C][C]102.8[/C][C]107.316951821286[/C][C]-0.933879554140565[/C][C]99.2169277328542[/C][C]4.51695182128631[/C][/ROW]
[ROW][C]41[/C][C]108.7[/C][C]115.621663661062[/C][C]-0.222705475636347[/C][C]102.001041814574[/C][C]6.92166366106228[/C][/ROW]
[ROW][C]42[/C][C]120.3[/C][C]135.341169947313[/C][C]1.13886564682003[/C][C]104.119964405867[/C][C]15.0411699473131[/C][/ROW]
[ROW][C]43[/C][C]121.9[/C][C]135.010676280994[/C][C]2.55043672184628[/C][C]106.23888699716[/C][C]13.110676280994[/C][/ROW]
[ROW][C]44[/C][C]112.7[/C][C]117.648655071955[/C][C]1.01378113225029[/C][C]106.737563795794[/C][C]4.94865507195533[/C][/ROW]
[ROW][C]45[/C][C]113.1[/C][C]118.686632218665[/C][C]0.277127186905867[/C][C]107.236240594429[/C][C]5.5866322186651[/C][/ROW]
[ROW][C]46[/C][C]115.7[/C][C]124.962164082297[/C][C]0.878929430043742[/C][C]105.558906487659[/C][C]9.26216408229676[/C][/ROW]
[ROW][C]47[/C][C]113.5[/C][C]120.221030807573[/C][C]2.89739681153747[/C][C]103.88157238089[/C][C]6.72103080757253[/C][/ROW]
[ROW][C]48[/C][C]103.1[/C][C]103.67349265452[/C][C]1.97214466987569[/C][C]100.554362675604[/C][C]0.573492654520038[/C][/ROW]
[ROW][C]49[/C][C]95.9[/C][C]96.6536361281606[/C][C]-2.0807890984791[/C][C]97.2271529703185[/C][C]0.753636128160565[/C][/ROW]
[ROW][C]50[/C][C]88.5[/C][C]87.0508275217752[/C][C]-3.44625576871267[/C][C]93.3954282469374[/C][C]-1.44917247822477[/C][/ROW]
[ROW][C]51[/C][C]86.2[/C][C]86.8813501090884[/C][C]-4.04505363264473[/C][C]89.5637035235563[/C][C]0.681350109088399[/C][/ROW]
[ROW][C]52[/C][C]83.8[/C][C]82.529852985116[/C][C]-0.933879554140565[/C][C]86.0040265690245[/C][C]-1.27014701488397[/C][/ROW]
[ROW][C]53[/C][C]76.4[/C][C]70.5783558611436[/C][C]-0.222705475636347[/C][C]82.4443496144927[/C][C]-5.82164413885639[/C][/ROW]
[ROW][C]54[/C][C]76[/C][C]71.2167027905732[/C][C]1.13886564682003[/C][C]79.6444315626068[/C][C]-4.78329720942681[/C][/ROW]
[ROW][C]55[/C][C]75.7[/C][C]72.0050497674329[/C][C]2.55043672184628[/C][C]76.8445135107208[/C][C]-3.69495023256709[/C][/ROW]
[ROW][C]56[/C][C]71.5[/C][C]67.1074263523584[/C][C]1.01378113225029[/C][C]74.8787925153913[/C][C]-4.39257364764163[/C][/ROW]
[ROW][C]57[/C][C]69.7[/C][C]66.2098012930323[/C][C]0.277127186905867[/C][C]72.9130715200619[/C][C]-3.49019870696773[/C][/ROW]
[ROW][C]58[/C][C]72.1[/C][C]71.9216330987973[/C][C]0.878929430043742[/C][C]71.3994374711589[/C][C]-0.178366901202679[/C][/ROW]
[ROW][C]59[/C][C]72.6[/C][C]72.4167997662065[/C][C]2.89739681153747[/C][C]69.885803422256[/C][C]-0.183200233793499[/C][/ROW]
[ROW][C]60[/C][C]70.2[/C][C]69.7984182929526[/C][C]1.97214466987569[/C][C]68.6294370371717[/C][C]-0.401581707047356[/C][/ROW]
[ROW][C]61[/C][C]69.4[/C][C]73.5077184463918[/C][C]-2.0807890984791[/C][C]67.3730706520873[/C][C]4.10771844639177[/C][/ROW]
[ROW][C]62[/C][C]68[/C][C]73.182960078878[/C][C]-3.44625576871267[/C][C]66.2632956898346[/C][C]5.18296007887804[/C][/ROW]
[ROW][C]63[/C][C]63.1[/C][C]65.0915329050628[/C][C]-4.04505363264473[/C][C]65.1535207275819[/C][C]1.99153290506281[/C][/ROW]
[ROW][C]64[/C][C]59.4[/C][C]55.6001771853178[/C][C]-0.933879554140565[/C][C]64.1337023688227[/C][C]-3.79982281468217[/C][/ROW]
[ROW][C]65[/C][C]59.3[/C][C]55.7088214655728[/C][C]-0.222705475636347[/C][C]63.1138840100636[/C][C]-3.59117853442722[/C][/ROW]
[ROW][C]66[/C][C]61.2[/C][C]59.183961240611[/C][C]1.13886564682003[/C][C]62.077173112569[/C][C]-2.016038759389[/C][/ROW]
[ROW][C]67[/C][C]59.8[/C][C]56.0091010630793[/C][C]2.55043672184628[/C][C]61.0404622150744[/C][C]-3.79089893692066[/C][/ROW]
[ROW][C]68[/C][C]61.3[/C][C]61.5878918458264[/C][C]1.01378113225029[/C][C]59.9983270219233[/C][C]0.287891845826373[/C][/ROW]
[ROW][C]69[/C][C]60.2[/C][C]61.1666809843219[/C][C]0.277127186905867[/C][C]58.9561918287723[/C][C]0.966680984321854[/C][/ROW]
[ROW][C]70[/C][C]59.7[/C][C]60.5729024679654[/C][C]0.878929430043742[/C][C]57.9481681019908[/C][C]0.872902467965432[/C][/ROW]
[ROW][C]71[/C][C]60.7[/C][C]61.5624588132532[/C][C]2.89739681153747[/C][C]56.9401443752094[/C][C]0.862458813253149[/C][/ROW]
[ROW][C]72[/C][C]59.8[/C][C]61.6596753128482[/C][C]1.97214466987569[/C][C]55.9681800172762[/C][C]1.85967531284815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195082&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195082&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
1112.8104.004059851371-2.0807890984791123.676729247108-8.7959401486291
2116.7112.254318404285-3.44625576871267124.591937364428-4.44568159571499
3119.4117.337908150898-4.04505363264473125.507145481747-2.06209184910237
4129.8134.30481331464-0.933879554140565126.22906623954.50481331464024
5131.9137.071718478383-0.222705475636347126.9509869972545.17171847838283
6129.8130.9641108108671.13886564682003127.4970235423131.1641108108673
7131.6132.6065031907822.55043672184628128.0430600873721.00650319078187
8134.3139.1778987461041.01378113225029128.4083201216464.87789874610371
9136.7144.3492926571740.277127186905867128.773580155927.64929265717399
10134.7140.7238355901680.878929430043742127.7972349797886.02383559016779
11138.1146.4817133848062.89739681153747126.8208898036578.38171338480575
12132.4138.9975466006641.97214466987569123.8303087294616.59754660066372
13125131.241061443215-2.0807890984791120.8397276552646.24106144321468
14117.7121.99371474829-3.44625576871267116.8525410204234.29371474828994
15112115.179699247064-4.04505363264473112.8653543855813.17969924706371
16106.3104.827933068397-0.933879554140565108.705946485744-1.47206693160298
17100.596.6761668897303-0.222705475636347104.546538585906-3.82383311026973
1895.688.81338978025631.13886564682003101.247744572924-6.78661021974365
1989.578.50061271821262.5504367218462897.9489505599411-10.9993872817874
2087.778.47633422546321.0137811322502995.9098846422866-9.22366577453684
2188.282.25205408846220.27712718690586793.870818724632-5.94794591153783
2288.783.60861075913310.87892943004374292.9124598108232-5.09138924086689
2391.487.94850229144822.8973968115374791.9541008970143-3.4514977085518
2495.797.56620396352071.9721446698756991.86165136660361.86620396352075
2596.8103.911587262286-2.080789098479191.76920183619287.11158726228629
2693.899.0933241781946-3.4462557687126791.95293159051815.2933241781946
279193.9083922878014-4.0450536326447392.13666134484332.90839228780142
2886.882.7878366080443-0.93387955414056591.7460429460962-4.01216339195567
2991.591.8672809282872-0.22270547563634791.35542454734910.367280928287201
3089.387.13829047097881.1388656468200390.3228438822012-2.16170952902121
3197.9103.9593000611012.5504367218462889.29026321705326.05930006110052
3295.7101.9901363945871.0137811322502988.39608247316286.29013639458687
3386.986.02097108382160.27712718690586787.5019017292725-0.879028916178356
348275.28543365851980.87892943004374287.8356369114365-6.71456634148025
3583.275.3332310948622.8973968115374788.1693720936005-7.86676890513799
3685.779.58806442994091.9721446698756989.8397909001834-6.11193557005906
3777.866.1705793917129-2.080789098479191.5102097067662-11.6294206082871
3879.468.2747440897624-3.4462557687126793.9715116789503-11.1252559102377
3983.474.4122399815103-4.0450536326447396.4328136511344-8.98776001848969
40102.8107.316951821286-0.93387955414056599.21692773285424.51695182128631
41108.7115.621663661062-0.222705475636347102.0010418145746.92166366106228
42120.3135.3411699473131.13886564682003104.11996440586715.0411699473131
43121.9135.0106762809942.55043672184628106.2388869971613.110676280994
44112.7117.6486550719551.01378113225029106.7375637957944.94865507195533
45113.1118.6866322186650.277127186905867107.2362405944295.5866322186651
46115.7124.9621640822970.878929430043742105.5589064876599.26216408229676
47113.5120.2210308075732.89739681153747103.881572380896.72103080757253
48103.1103.673492654521.97214466987569100.5543626756040.573492654520038
4995.996.6536361281606-2.080789098479197.22715297031850.753636128160565
5088.587.0508275217752-3.4462557687126793.3954282469374-1.44917247822477
5186.286.8813501090884-4.0450536326447389.56370352355630.681350109088399
5283.882.529852985116-0.93387955414056586.0040265690245-1.27014701488397
5376.470.5783558611436-0.22270547563634782.4443496144927-5.82164413885639
547671.21670279057321.1388656468200379.6444315626068-4.78329720942681
5575.772.00504976743292.5504367218462876.8445135107208-3.69495023256709
5671.567.10742635235841.0137811322502974.8787925153913-4.39257364764163
5769.766.20980129303230.27712718690586772.9130715200619-3.49019870696773
5872.171.92163309879730.87892943004374271.3994374711589-0.178366901202679
5972.672.41679976620652.8973968115374769.885803422256-0.183200233793499
6070.269.79841829295261.9721446698756968.6294370371717-0.401581707047356
6169.473.5077184463918-2.080789098479167.37307065208734.10771844639177
626873.182960078878-3.4462557687126766.26329568983465.18296007887804
6363.165.0915329050628-4.0450536326447365.15352072758191.99153290506281
6459.455.6001771853178-0.93387955414056564.1337023688227-3.79982281468217
6559.355.7088214655728-0.22270547563634763.1138840100636-3.59117853442722
6661.259.1839612406111.1388656468200362.077173112569-2.016038759389
6759.856.00910106307932.5504367218462861.0404622150744-3.79089893692066
6861.361.58789184582641.0137811322502959.99832702192330.287891845826373
6960.261.16668098432190.27712718690586758.95619182877230.966680984321854
7059.760.57290246796540.87892943004374257.94816810199080.872902467965432
7160.761.56245881325322.8973968115374756.94014437520940.862458813253149
7259.861.65967531284821.9721446698756955.96818001727621.85967531284815



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')