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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 May 2012 03:58:18 -0400
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/May/04/t1336118342xisfq0xz8na6c9f.htm/, Retrieved Fri, 03 May 2024 10:48:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166184, Retrieved Fri, 03 May 2024 10:48:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Gem consumptiepri...] [2012-05-04 07:58:18] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
18.49
18.07
17.8
17.88
18.12
18.68
18.8
19.64
19.56
19.3
20.07
19.82
20.29
19.36
18.74
18.87
18.87
18.91
19.31
20.06
20.72
20.42
20.58
20.58
21.18
19.87
19.83
19.48
19.49
19.4
19.89
20.44
20.07
19.75
19.54
19.07
19.55
18.01
17.5
17.41
17.47
17.6
17.64
18.3
18.27
17.99
18.04
17.62
18.22
17.67
17.73
17.99
18.15
18.41
18.36
19.52
19.96
19.6
19.48
19.13




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166184&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166184&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166184&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' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
118.49NANA1.03851889850973NA
218.07NANA0.98235071250918NA
317.8NANA0.967626585014318NA
417.88NANA0.966851300335627NA
518.12NANA0.970100032025246NA
618.68NANA0.975453207460067NA
718.818.753280982143518.92750.9907954554031721.00249124502006
819.6419.589385564806119.056251.027976940101331.0025837683896
919.5619.730491739694819.14916666666671.030357721730010.991358971588538
1019.319.52037049055419.22958333333331.015121864690460.988710742418508
1120.0719.78455735689919.30208333333331.024995955888991.01442754760452
1219.8219.533470050960119.34291666666671.009851326331861.01466866605331
1320.2920.120005510002919.373751.038518898509731.00844902800412
1419.3619.069883206584419.41250.982350712509181.01521334925194
1518.7418.847753165103919.47833333333330.9676265850143180.994282970274494
1618.8718.92450278523619.57333333333330.9668513003356270.997119988522049
1718.8719.053977254015919.641250.9701000320252460.990344417254036
1818.9119.210738043253119.69416666666670.9754532074600670.98434531549095
1919.3119.581008018844919.76291666666670.9907954554031720.986159649258909
2020.0620.375787923983619.821251.027976940101330.984501805517328
2120.7220.491668506622919.88791666666671.030357721730011.01114265016064
2220.4220.260563516890819.958751.015121864690461.00786930151159
2320.5820.510169077338720.011.024995955888991.00340469756236
2420.5820.253830663743520.056251.009851326331861.01610408133018
2521.1820.87509529246120.10083333333331.038518898509731.01460614685908
2619.8719.785361975528620.14083333333330.982350712509181.00427781026074
2719.8319.477919978594520.12958333333330.9676265850143181.01807585316053
2819.4819.409136999529220.07458333333330.9668513003356271.00365101243154
2919.4919.405234307278320.00333333333330.9701000320252461.00436818702518
3019.419.408673756600219.89708333333330.9754532074600670.999553098954157
3119.8919.584310670362919.766250.9907954554031721.01560888891023
3220.4420.169764212238319.62083333333331.027976940101331.01339806380075
3320.0720.036593846192119.446251.030357721730011.00166725712286
3419.7519.554207886043719.26291666666671.015121864690461.01001278676678
3519.5419.569735287810619.09251.024995955888990.99848054726478
3619.0719.1198517785518.93333333333331.009851326331860.997392669193917
3719.5519.487374414327418.76458333333331.038518898509731.00321364922442
3818.0118.253713489608118.58166666666670.982350712509180.986648552923392
3917.517.821262629501218.41750.9676265850143180.981973071370971
4017.4117.66356754771518.26916666666670.9668513003356270.985644601690458
4117.4717.591147247391118.13333333333330.9701000320252460.993113169613819
4217.617.568318705192318.01041666666670.9754532074600671.00180331967671
4317.6417.72987184317.89458333333330.9907954554031720.994931049485533
4418.318.323688957306317.8251.027976940101330.998707194967046
4518.2718.361403916946117.82041666666671.030357721730010.995021953802687
4617.9918.12415495916117.85416666666671.015121864690460.992598001977841
4718.0418.354260916785617.90666666666671.024995955888990.982878040243061
4817.6218.145766020025717.968751.009851326331860.971025416097317
4918.2218.727092037376718.03251.038518898509730.972922008587098
5017.6717.793645905916318.11333333333330.982350712509180.993051120238649
5117.7317.644267599992318.23458333333330.9676265850143181.00485893786873
5217.9917.763072660707818.37208333333330.9668513003356271.01277523003068
5318.1517.946042175773718.49916666666670.9701000320252461.01136505878169
5418.4118.164970917088718.62208333333330.9754532074600671.01348909855291
5518.36NANA0.990795455403172NA
5619.52NANA1.02797694010133NA
5719.96NANA1.03035772173001NA
5819.6NANA1.01512186469046NA
5919.48NANA1.02499595588899NA
6019.13NANA1.00985132633186NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 18.49 & NA & NA & 1.03851889850973 & NA \tabularnewline
2 & 18.07 & NA & NA & 0.98235071250918 & NA \tabularnewline
3 & 17.8 & NA & NA & 0.967626585014318 & NA \tabularnewline
4 & 17.88 & NA & NA & 0.966851300335627 & NA \tabularnewline
5 & 18.12 & NA & NA & 0.970100032025246 & NA \tabularnewline
6 & 18.68 & NA & NA & 0.975453207460067 & NA \tabularnewline
7 & 18.8 & 18.7532809821435 & 18.9275 & 0.990795455403172 & 1.00249124502006 \tabularnewline
8 & 19.64 & 19.5893855648061 & 19.05625 & 1.02797694010133 & 1.0025837683896 \tabularnewline
9 & 19.56 & 19.7304917396948 & 19.1491666666667 & 1.03035772173001 & 0.991358971588538 \tabularnewline
10 & 19.3 & 19.520370490554 & 19.2295833333333 & 1.01512186469046 & 0.988710742418508 \tabularnewline
11 & 20.07 & 19.784557356899 & 19.3020833333333 & 1.02499595588899 & 1.01442754760452 \tabularnewline
12 & 19.82 & 19.5334700509601 & 19.3429166666667 & 1.00985132633186 & 1.01466866605331 \tabularnewline
13 & 20.29 & 20.1200055100029 & 19.37375 & 1.03851889850973 & 1.00844902800412 \tabularnewline
14 & 19.36 & 19.0698832065844 & 19.4125 & 0.98235071250918 & 1.01521334925194 \tabularnewline
15 & 18.74 & 18.8477531651039 & 19.4783333333333 & 0.967626585014318 & 0.994282970274494 \tabularnewline
16 & 18.87 & 18.924502785236 & 19.5733333333333 & 0.966851300335627 & 0.997119988522049 \tabularnewline
17 & 18.87 & 19.0539772540159 & 19.64125 & 0.970100032025246 & 0.990344417254036 \tabularnewline
18 & 18.91 & 19.2107380432531 & 19.6941666666667 & 0.975453207460067 & 0.98434531549095 \tabularnewline
19 & 19.31 & 19.5810080188449 & 19.7629166666667 & 0.990795455403172 & 0.986159649258909 \tabularnewline
20 & 20.06 & 20.3757879239836 & 19.82125 & 1.02797694010133 & 0.984501805517328 \tabularnewline
21 & 20.72 & 20.4916685066229 & 19.8879166666667 & 1.03035772173001 & 1.01114265016064 \tabularnewline
22 & 20.42 & 20.2605635168908 & 19.95875 & 1.01512186469046 & 1.00786930151159 \tabularnewline
23 & 20.58 & 20.5101690773387 & 20.01 & 1.02499595588899 & 1.00340469756236 \tabularnewline
24 & 20.58 & 20.2538306637435 & 20.05625 & 1.00985132633186 & 1.01610408133018 \tabularnewline
25 & 21.18 & 20.875095292461 & 20.1008333333333 & 1.03851889850973 & 1.01460614685908 \tabularnewline
26 & 19.87 & 19.7853619755286 & 20.1408333333333 & 0.98235071250918 & 1.00427781026074 \tabularnewline
27 & 19.83 & 19.4779199785945 & 20.1295833333333 & 0.967626585014318 & 1.01807585316053 \tabularnewline
28 & 19.48 & 19.4091369995292 & 20.0745833333333 & 0.966851300335627 & 1.00365101243154 \tabularnewline
29 & 19.49 & 19.4052343072783 & 20.0033333333333 & 0.970100032025246 & 1.00436818702518 \tabularnewline
30 & 19.4 & 19.4086737566002 & 19.8970833333333 & 0.975453207460067 & 0.999553098954157 \tabularnewline
31 & 19.89 & 19.5843106703629 & 19.76625 & 0.990795455403172 & 1.01560888891023 \tabularnewline
32 & 20.44 & 20.1697642122383 & 19.6208333333333 & 1.02797694010133 & 1.01339806380075 \tabularnewline
33 & 20.07 & 20.0365938461921 & 19.44625 & 1.03035772173001 & 1.00166725712286 \tabularnewline
34 & 19.75 & 19.5542078860437 & 19.2629166666667 & 1.01512186469046 & 1.01001278676678 \tabularnewline
35 & 19.54 & 19.5697352878106 & 19.0925 & 1.02499595588899 & 0.99848054726478 \tabularnewline
36 & 19.07 & 19.11985177855 & 18.9333333333333 & 1.00985132633186 & 0.997392669193917 \tabularnewline
37 & 19.55 & 19.4873744143274 & 18.7645833333333 & 1.03851889850973 & 1.00321364922442 \tabularnewline
38 & 18.01 & 18.2537134896081 & 18.5816666666667 & 0.98235071250918 & 0.986648552923392 \tabularnewline
39 & 17.5 & 17.8212626295012 & 18.4175 & 0.967626585014318 & 0.981973071370971 \tabularnewline
40 & 17.41 & 17.663567547715 & 18.2691666666667 & 0.966851300335627 & 0.985644601690458 \tabularnewline
41 & 17.47 & 17.5911472473911 & 18.1333333333333 & 0.970100032025246 & 0.993113169613819 \tabularnewline
42 & 17.6 & 17.5683187051923 & 18.0104166666667 & 0.975453207460067 & 1.00180331967671 \tabularnewline
43 & 17.64 & 17.729871843 & 17.8945833333333 & 0.990795455403172 & 0.994931049485533 \tabularnewline
44 & 18.3 & 18.3236889573063 & 17.825 & 1.02797694010133 & 0.998707194967046 \tabularnewline
45 & 18.27 & 18.3614039169461 & 17.8204166666667 & 1.03035772173001 & 0.995021953802687 \tabularnewline
46 & 17.99 & 18.124154959161 & 17.8541666666667 & 1.01512186469046 & 0.992598001977841 \tabularnewline
47 & 18.04 & 18.3542609167856 & 17.9066666666667 & 1.02499595588899 & 0.982878040243061 \tabularnewline
48 & 17.62 & 18.1457660200257 & 17.96875 & 1.00985132633186 & 0.971025416097317 \tabularnewline
49 & 18.22 & 18.7270920373767 & 18.0325 & 1.03851889850973 & 0.972922008587098 \tabularnewline
50 & 17.67 & 17.7936459059163 & 18.1133333333333 & 0.98235071250918 & 0.993051120238649 \tabularnewline
51 & 17.73 & 17.6442675999923 & 18.2345833333333 & 0.967626585014318 & 1.00485893786873 \tabularnewline
52 & 17.99 & 17.7630726607078 & 18.3720833333333 & 0.966851300335627 & 1.01277523003068 \tabularnewline
53 & 18.15 & 17.9460421757737 & 18.4991666666667 & 0.970100032025246 & 1.01136505878169 \tabularnewline
54 & 18.41 & 18.1649709170887 & 18.6220833333333 & 0.975453207460067 & 1.01348909855291 \tabularnewline
55 & 18.36 & NA & NA & 0.990795455403172 & NA \tabularnewline
56 & 19.52 & NA & NA & 1.02797694010133 & NA \tabularnewline
57 & 19.96 & NA & NA & 1.03035772173001 & NA \tabularnewline
58 & 19.6 & NA & NA & 1.01512186469046 & NA \tabularnewline
59 & 19.48 & NA & NA & 1.02499595588899 & NA \tabularnewline
60 & 19.13 & NA & NA & 1.00985132633186 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166184&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]18.49[/C][C]NA[/C][C]NA[/C][C]1.03851889850973[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]18.07[/C][C]NA[/C][C]NA[/C][C]0.98235071250918[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]17.8[/C][C]NA[/C][C]NA[/C][C]0.967626585014318[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]17.88[/C][C]NA[/C][C]NA[/C][C]0.966851300335627[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]18.12[/C][C]NA[/C][C]NA[/C][C]0.970100032025246[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]18.68[/C][C]NA[/C][C]NA[/C][C]0.975453207460067[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]18.8[/C][C]18.7532809821435[/C][C]18.9275[/C][C]0.990795455403172[/C][C]1.00249124502006[/C][/ROW]
[ROW][C]8[/C][C]19.64[/C][C]19.5893855648061[/C][C]19.05625[/C][C]1.02797694010133[/C][C]1.0025837683896[/C][/ROW]
[ROW][C]9[/C][C]19.56[/C][C]19.7304917396948[/C][C]19.1491666666667[/C][C]1.03035772173001[/C][C]0.991358971588538[/C][/ROW]
[ROW][C]10[/C][C]19.3[/C][C]19.520370490554[/C][C]19.2295833333333[/C][C]1.01512186469046[/C][C]0.988710742418508[/C][/ROW]
[ROW][C]11[/C][C]20.07[/C][C]19.784557356899[/C][C]19.3020833333333[/C][C]1.02499595588899[/C][C]1.01442754760452[/C][/ROW]
[ROW][C]12[/C][C]19.82[/C][C]19.5334700509601[/C][C]19.3429166666667[/C][C]1.00985132633186[/C][C]1.01466866605331[/C][/ROW]
[ROW][C]13[/C][C]20.29[/C][C]20.1200055100029[/C][C]19.37375[/C][C]1.03851889850973[/C][C]1.00844902800412[/C][/ROW]
[ROW][C]14[/C][C]19.36[/C][C]19.0698832065844[/C][C]19.4125[/C][C]0.98235071250918[/C][C]1.01521334925194[/C][/ROW]
[ROW][C]15[/C][C]18.74[/C][C]18.8477531651039[/C][C]19.4783333333333[/C][C]0.967626585014318[/C][C]0.994282970274494[/C][/ROW]
[ROW][C]16[/C][C]18.87[/C][C]18.924502785236[/C][C]19.5733333333333[/C][C]0.966851300335627[/C][C]0.997119988522049[/C][/ROW]
[ROW][C]17[/C][C]18.87[/C][C]19.0539772540159[/C][C]19.64125[/C][C]0.970100032025246[/C][C]0.990344417254036[/C][/ROW]
[ROW][C]18[/C][C]18.91[/C][C]19.2107380432531[/C][C]19.6941666666667[/C][C]0.975453207460067[/C][C]0.98434531549095[/C][/ROW]
[ROW][C]19[/C][C]19.31[/C][C]19.5810080188449[/C][C]19.7629166666667[/C][C]0.990795455403172[/C][C]0.986159649258909[/C][/ROW]
[ROW][C]20[/C][C]20.06[/C][C]20.3757879239836[/C][C]19.82125[/C][C]1.02797694010133[/C][C]0.984501805517328[/C][/ROW]
[ROW][C]21[/C][C]20.72[/C][C]20.4916685066229[/C][C]19.8879166666667[/C][C]1.03035772173001[/C][C]1.01114265016064[/C][/ROW]
[ROW][C]22[/C][C]20.42[/C][C]20.2605635168908[/C][C]19.95875[/C][C]1.01512186469046[/C][C]1.00786930151159[/C][/ROW]
[ROW][C]23[/C][C]20.58[/C][C]20.5101690773387[/C][C]20.01[/C][C]1.02499595588899[/C][C]1.00340469756236[/C][/ROW]
[ROW][C]24[/C][C]20.58[/C][C]20.2538306637435[/C][C]20.05625[/C][C]1.00985132633186[/C][C]1.01610408133018[/C][/ROW]
[ROW][C]25[/C][C]21.18[/C][C]20.875095292461[/C][C]20.1008333333333[/C][C]1.03851889850973[/C][C]1.01460614685908[/C][/ROW]
[ROW][C]26[/C][C]19.87[/C][C]19.7853619755286[/C][C]20.1408333333333[/C][C]0.98235071250918[/C][C]1.00427781026074[/C][/ROW]
[ROW][C]27[/C][C]19.83[/C][C]19.4779199785945[/C][C]20.1295833333333[/C][C]0.967626585014318[/C][C]1.01807585316053[/C][/ROW]
[ROW][C]28[/C][C]19.48[/C][C]19.4091369995292[/C][C]20.0745833333333[/C][C]0.966851300335627[/C][C]1.00365101243154[/C][/ROW]
[ROW][C]29[/C][C]19.49[/C][C]19.4052343072783[/C][C]20.0033333333333[/C][C]0.970100032025246[/C][C]1.00436818702518[/C][/ROW]
[ROW][C]30[/C][C]19.4[/C][C]19.4086737566002[/C][C]19.8970833333333[/C][C]0.975453207460067[/C][C]0.999553098954157[/C][/ROW]
[ROW][C]31[/C][C]19.89[/C][C]19.5843106703629[/C][C]19.76625[/C][C]0.990795455403172[/C][C]1.01560888891023[/C][/ROW]
[ROW][C]32[/C][C]20.44[/C][C]20.1697642122383[/C][C]19.6208333333333[/C][C]1.02797694010133[/C][C]1.01339806380075[/C][/ROW]
[ROW][C]33[/C][C]20.07[/C][C]20.0365938461921[/C][C]19.44625[/C][C]1.03035772173001[/C][C]1.00166725712286[/C][/ROW]
[ROW][C]34[/C][C]19.75[/C][C]19.5542078860437[/C][C]19.2629166666667[/C][C]1.01512186469046[/C][C]1.01001278676678[/C][/ROW]
[ROW][C]35[/C][C]19.54[/C][C]19.5697352878106[/C][C]19.0925[/C][C]1.02499595588899[/C][C]0.99848054726478[/C][/ROW]
[ROW][C]36[/C][C]19.07[/C][C]19.11985177855[/C][C]18.9333333333333[/C][C]1.00985132633186[/C][C]0.997392669193917[/C][/ROW]
[ROW][C]37[/C][C]19.55[/C][C]19.4873744143274[/C][C]18.7645833333333[/C][C]1.03851889850973[/C][C]1.00321364922442[/C][/ROW]
[ROW][C]38[/C][C]18.01[/C][C]18.2537134896081[/C][C]18.5816666666667[/C][C]0.98235071250918[/C][C]0.986648552923392[/C][/ROW]
[ROW][C]39[/C][C]17.5[/C][C]17.8212626295012[/C][C]18.4175[/C][C]0.967626585014318[/C][C]0.981973071370971[/C][/ROW]
[ROW][C]40[/C][C]17.41[/C][C]17.663567547715[/C][C]18.2691666666667[/C][C]0.966851300335627[/C][C]0.985644601690458[/C][/ROW]
[ROW][C]41[/C][C]17.47[/C][C]17.5911472473911[/C][C]18.1333333333333[/C][C]0.970100032025246[/C][C]0.993113169613819[/C][/ROW]
[ROW][C]42[/C][C]17.6[/C][C]17.5683187051923[/C][C]18.0104166666667[/C][C]0.975453207460067[/C][C]1.00180331967671[/C][/ROW]
[ROW][C]43[/C][C]17.64[/C][C]17.729871843[/C][C]17.8945833333333[/C][C]0.990795455403172[/C][C]0.994931049485533[/C][/ROW]
[ROW][C]44[/C][C]18.3[/C][C]18.3236889573063[/C][C]17.825[/C][C]1.02797694010133[/C][C]0.998707194967046[/C][/ROW]
[ROW][C]45[/C][C]18.27[/C][C]18.3614039169461[/C][C]17.8204166666667[/C][C]1.03035772173001[/C][C]0.995021953802687[/C][/ROW]
[ROW][C]46[/C][C]17.99[/C][C]18.124154959161[/C][C]17.8541666666667[/C][C]1.01512186469046[/C][C]0.992598001977841[/C][/ROW]
[ROW][C]47[/C][C]18.04[/C][C]18.3542609167856[/C][C]17.9066666666667[/C][C]1.02499595588899[/C][C]0.982878040243061[/C][/ROW]
[ROW][C]48[/C][C]17.62[/C][C]18.1457660200257[/C][C]17.96875[/C][C]1.00985132633186[/C][C]0.971025416097317[/C][/ROW]
[ROW][C]49[/C][C]18.22[/C][C]18.7270920373767[/C][C]18.0325[/C][C]1.03851889850973[/C][C]0.972922008587098[/C][/ROW]
[ROW][C]50[/C][C]17.67[/C][C]17.7936459059163[/C][C]18.1133333333333[/C][C]0.98235071250918[/C][C]0.993051120238649[/C][/ROW]
[ROW][C]51[/C][C]17.73[/C][C]17.6442675999923[/C][C]18.2345833333333[/C][C]0.967626585014318[/C][C]1.00485893786873[/C][/ROW]
[ROW][C]52[/C][C]17.99[/C][C]17.7630726607078[/C][C]18.3720833333333[/C][C]0.966851300335627[/C][C]1.01277523003068[/C][/ROW]
[ROW][C]53[/C][C]18.15[/C][C]17.9460421757737[/C][C]18.4991666666667[/C][C]0.970100032025246[/C][C]1.01136505878169[/C][/ROW]
[ROW][C]54[/C][C]18.41[/C][C]18.1649709170887[/C][C]18.6220833333333[/C][C]0.975453207460067[/C][C]1.01348909855291[/C][/ROW]
[ROW][C]55[/C][C]18.36[/C][C]NA[/C][C]NA[/C][C]0.990795455403172[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]19.52[/C][C]NA[/C][C]NA[/C][C]1.02797694010133[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]19.96[/C][C]NA[/C][C]NA[/C][C]1.03035772173001[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]19.6[/C][C]NA[/C][C]NA[/C][C]1.01512186469046[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]19.48[/C][C]NA[/C][C]NA[/C][C]1.02499595588899[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]19.13[/C][C]NA[/C][C]NA[/C][C]1.00985132633186[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166184&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166184&T=1

As an alternative you can also use a QR Code:  

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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
118.49NANA1.03851889850973NA
218.07NANA0.98235071250918NA
317.8NANA0.967626585014318NA
417.88NANA0.966851300335627NA
518.12NANA0.970100032025246NA
618.68NANA0.975453207460067NA
718.818.753280982143518.92750.9907954554031721.00249124502006
819.6419.589385564806119.056251.027976940101331.0025837683896
919.5619.730491739694819.14916666666671.030357721730010.991358971588538
1019.319.52037049055419.22958333333331.015121864690460.988710742418508
1120.0719.78455735689919.30208333333331.024995955888991.01442754760452
1219.8219.533470050960119.34291666666671.009851326331861.01466866605331
1320.2920.120005510002919.373751.038518898509731.00844902800412
1419.3619.069883206584419.41250.982350712509181.01521334925194
1518.7418.847753165103919.47833333333330.9676265850143180.994282970274494
1618.8718.92450278523619.57333333333330.9668513003356270.997119988522049
1718.8719.053977254015919.641250.9701000320252460.990344417254036
1818.9119.210738043253119.69416666666670.9754532074600670.98434531549095
1919.3119.581008018844919.76291666666670.9907954554031720.986159649258909
2020.0620.375787923983619.821251.027976940101330.984501805517328
2120.7220.491668506622919.88791666666671.030357721730011.01114265016064
2220.4220.260563516890819.958751.015121864690461.00786930151159
2320.5820.510169077338720.011.024995955888991.00340469756236
2420.5820.253830663743520.056251.009851326331861.01610408133018
2521.1820.87509529246120.10083333333331.038518898509731.01460614685908
2619.8719.785361975528620.14083333333330.982350712509181.00427781026074
2719.8319.477919978594520.12958333333330.9676265850143181.01807585316053
2819.4819.409136999529220.07458333333330.9668513003356271.00365101243154
2919.4919.405234307278320.00333333333330.9701000320252461.00436818702518
3019.419.408673756600219.89708333333330.9754532074600670.999553098954157
3119.8919.584310670362919.766250.9907954554031721.01560888891023
3220.4420.169764212238319.62083333333331.027976940101331.01339806380075
3320.0720.036593846192119.446251.030357721730011.00166725712286
3419.7519.554207886043719.26291666666671.015121864690461.01001278676678
3519.5419.569735287810619.09251.024995955888990.99848054726478
3619.0719.1198517785518.93333333333331.009851326331860.997392669193917
3719.5519.487374414327418.76458333333331.038518898509731.00321364922442
3818.0118.253713489608118.58166666666670.982350712509180.986648552923392
3917.517.821262629501218.41750.9676265850143180.981973071370971
4017.4117.66356754771518.26916666666670.9668513003356270.985644601690458
4117.4717.591147247391118.13333333333330.9701000320252460.993113169613819
4217.617.568318705192318.01041666666670.9754532074600671.00180331967671
4317.6417.72987184317.89458333333330.9907954554031720.994931049485533
4418.318.323688957306317.8251.027976940101330.998707194967046
4518.2718.361403916946117.82041666666671.030357721730010.995021953802687
4617.9918.12415495916117.85416666666671.015121864690460.992598001977841
4718.0418.354260916785617.90666666666671.024995955888990.982878040243061
4817.6218.145766020025717.968751.009851326331860.971025416097317
4918.2218.727092037376718.03251.038518898509730.972922008587098
5017.6717.793645905916318.11333333333330.982350712509180.993051120238649
5117.7317.644267599992318.23458333333330.9676265850143181.00485893786873
5217.9917.763072660707818.37208333333330.9668513003356271.01277523003068
5318.1517.946042175773718.49916666666670.9701000320252461.01136505878169
5418.4118.164970917088718.62208333333330.9754532074600671.01348909855291
5518.36NANA0.990795455403172NA
5619.52NANA1.02797694010133NA
5719.96NANA1.03035772173001NA
5819.6NANA1.01512186469046NA
5919.48NANA1.02499595588899NA
6019.13NANA1.00985132633186NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')