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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 09 May 2012 12:21:56 -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/09/t1336580531zekyosiihyi4kmh.htm/, Retrieved Fri, 03 May 2024 20:28:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166353, Retrieved Fri, 03 May 2024 20:28:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2012-05-09 16:21:56] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
163,93
164,28
164,58
165,97
166,3
166,27
166,27
166,44
166,26
166,64
166,07
166,19
166,19
166,19
166,35
166,52
167,17
167,16
167,16
167,16
167,39
168,46
168,55
168,58
168,58
169,21
169,29
169,24
169,53
169,57
169,57
169,67
170,04
170,39
170,57
170,48
170,48
170,48
170,49
170,72
171,11
171,07
171,07
171,07
171,05
172,28
172,74
172,86
172,86
173,24
173,2
173,38
172,89
172,98
172,98
172,69
172,77
172,65
172,3
172,17




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166353&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166353&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166353&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1163.93NANA0.99970585038172NA
2164.28NANA1.00039430505393NA
3164.58NANA0.999926677414323NA
4165.97NANA0.999935590190184NA
5166.3NANA1.0004449067646NA
6166.27NANA0.999806951859801NA
7166.27165.769052488007165.8608333333330.9994466394296851.00302196039897
8166.44165.826387721891166.0345833333330.9987460708048741.00370032952257
9166.26165.897258548643166.1879166666670.9982510273679731.00218654277069
10166.64166.572595765211166.2845833333331.001732045305131.00040465380562
11166.07166.52347338974166.343751.001080433678690.997276820015166
12166.19166.505201470036166.4170833333331.000529501749090.998106957216631
13166.19166.442276662365166.491250.999705850381720.998484299377392
14166.19166.624008125941166.5583333333331.000394305053930.997395284564195
15166.35166.623198527051166.6354166666670.9999266774143230.998360381210621
16166.52166.747592460798166.7583333333330.9999355901901840.998635107965043
17167.17167.011771623015166.93751.00044490676461.00094740852963
18167.16167.108150520077167.1404166666670.9998069518598011.00031027499115
19167.16167.246984206064167.3395833333330.9994466394296850.999479905682745
20167.16167.354885354419167.5650.9987460708048740.998835496472027
21167.39167.519832406044167.8133333333330.9982510273679730.99922497292303
22168.46168.340235436823168.0491666666671.001732045305131.00071144348151
23168.55168.442628004472168.2608333333331.001080433678691.00063743956503
24168.58168.548782977359168.4595833333331.000529501749091.00018521060841
25168.58168.610805269485168.6604166666670.999705850381720.999817299553039
26169.21168.932001153893168.8654166666671.000394305053931.00164562572046
27169.29169.068019253329169.0804166666670.9999266774143231.0013129670984
28169.24169.26034727098169.271250.9999355901901840.99987978713675
29169.53169.511216481749169.4358333333331.00044490676461.0001108098841
30169.57169.566425862962169.5991666666670.9998069518598011.00002107809385
31169.57169.663562892985169.75750.9994466394296850.999448538676253
32169.67169.676553824844169.8895833333330.9987460708048740.999961374599518
33170.04169.69518776985169.99250.9982510273679731.00203195055017
34170.39170.398794789925170.1041666666671.001732045305130.999948387018021
35170.57170.415590692513170.2316666666671.001080433678691.00090607500675
36170.48170.450205917974170.361.000529501749091.00017479639796
37170.48170.434851902327170.4850.999705850381721.00026489944497
38170.48170.673104075647170.6058333333331.000394305053930.998868573483251
39170.49170.693733376359170.706250.9999266774143230.998806439039507
40170.72170.816080393384170.8270833333330.9999355901901840.999437521378765
41171.11171.072327388346170.996251.00044490676461.00022021452697
42171.07171.15278622658171.1858333333330.9998069518598010.999516302197557
43171.07171.289329426457171.3841666666670.9994466394296850.998719538297036
44171.07171.383161173332171.5983333333330.9987460708048740.998172742460883
45171.05171.525730591286171.826250.9982510273679730.997226476811111
46172.28172.347998394748172.051.001732045305130.999605458749849
47172.74172.42108849465172.2351.001080433678691.00184960846805
48172.86172.480030144648172.388751.000529501749091.002202978832
49172.86172.497161762844172.5479166666670.999705850381721.0021034446796
50173.24172.763094511289172.6951.000394305053931.0027604592871
51173.2172.821494018673172.8341666666670.9999266774143231.00219015570648
52173.38172.910112175174172.921250.9999355901901841.00271752657444
53172.89172.995265869556172.9183333333331.00044490676460.999391510114296
54172.98172.837877526694172.871250.9998069518598011.00082228777245
55172.98NANA0.999446639429685NA
56172.69NANA0.998746070804874NA
57172.77NANA0.998251027367973NA
58172.65NANA1.00173204530513NA
59172.3NANA1.00108043367869NA
60172.17NANA1.00052950174909NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 163.93 & NA & NA & 0.99970585038172 & NA \tabularnewline
2 & 164.28 & NA & NA & 1.00039430505393 & NA \tabularnewline
3 & 164.58 & NA & NA & 0.999926677414323 & NA \tabularnewline
4 & 165.97 & NA & NA & 0.999935590190184 & NA \tabularnewline
5 & 166.3 & NA & NA & 1.0004449067646 & NA \tabularnewline
6 & 166.27 & NA & NA & 0.999806951859801 & NA \tabularnewline
7 & 166.27 & 165.769052488007 & 165.860833333333 & 0.999446639429685 & 1.00302196039897 \tabularnewline
8 & 166.44 & 165.826387721891 & 166.034583333333 & 0.998746070804874 & 1.00370032952257 \tabularnewline
9 & 166.26 & 165.897258548643 & 166.187916666667 & 0.998251027367973 & 1.00218654277069 \tabularnewline
10 & 166.64 & 166.572595765211 & 166.284583333333 & 1.00173204530513 & 1.00040465380562 \tabularnewline
11 & 166.07 & 166.52347338974 & 166.34375 & 1.00108043367869 & 0.997276820015166 \tabularnewline
12 & 166.19 & 166.505201470036 & 166.417083333333 & 1.00052950174909 & 0.998106957216631 \tabularnewline
13 & 166.19 & 166.442276662365 & 166.49125 & 0.99970585038172 & 0.998484299377392 \tabularnewline
14 & 166.19 & 166.624008125941 & 166.558333333333 & 1.00039430505393 & 0.997395284564195 \tabularnewline
15 & 166.35 & 166.623198527051 & 166.635416666667 & 0.999926677414323 & 0.998360381210621 \tabularnewline
16 & 166.52 & 166.747592460798 & 166.758333333333 & 0.999935590190184 & 0.998635107965043 \tabularnewline
17 & 167.17 & 167.011771623015 & 166.9375 & 1.0004449067646 & 1.00094740852963 \tabularnewline
18 & 167.16 & 167.108150520077 & 167.140416666667 & 0.999806951859801 & 1.00031027499115 \tabularnewline
19 & 167.16 & 167.246984206064 & 167.339583333333 & 0.999446639429685 & 0.999479905682745 \tabularnewline
20 & 167.16 & 167.354885354419 & 167.565 & 0.998746070804874 & 0.998835496472027 \tabularnewline
21 & 167.39 & 167.519832406044 & 167.813333333333 & 0.998251027367973 & 0.99922497292303 \tabularnewline
22 & 168.46 & 168.340235436823 & 168.049166666667 & 1.00173204530513 & 1.00071144348151 \tabularnewline
23 & 168.55 & 168.442628004472 & 168.260833333333 & 1.00108043367869 & 1.00063743956503 \tabularnewline
24 & 168.58 & 168.548782977359 & 168.459583333333 & 1.00052950174909 & 1.00018521060841 \tabularnewline
25 & 168.58 & 168.610805269485 & 168.660416666667 & 0.99970585038172 & 0.999817299553039 \tabularnewline
26 & 169.21 & 168.932001153893 & 168.865416666667 & 1.00039430505393 & 1.00164562572046 \tabularnewline
27 & 169.29 & 169.068019253329 & 169.080416666667 & 0.999926677414323 & 1.0013129670984 \tabularnewline
28 & 169.24 & 169.26034727098 & 169.27125 & 0.999935590190184 & 0.99987978713675 \tabularnewline
29 & 169.53 & 169.511216481749 & 169.435833333333 & 1.0004449067646 & 1.0001108098841 \tabularnewline
30 & 169.57 & 169.566425862962 & 169.599166666667 & 0.999806951859801 & 1.00002107809385 \tabularnewline
31 & 169.57 & 169.663562892985 & 169.7575 & 0.999446639429685 & 0.999448538676253 \tabularnewline
32 & 169.67 & 169.676553824844 & 169.889583333333 & 0.998746070804874 & 0.999961374599518 \tabularnewline
33 & 170.04 & 169.69518776985 & 169.9925 & 0.998251027367973 & 1.00203195055017 \tabularnewline
34 & 170.39 & 170.398794789925 & 170.104166666667 & 1.00173204530513 & 0.999948387018021 \tabularnewline
35 & 170.57 & 170.415590692513 & 170.231666666667 & 1.00108043367869 & 1.00090607500675 \tabularnewline
36 & 170.48 & 170.450205917974 & 170.36 & 1.00052950174909 & 1.00017479639796 \tabularnewline
37 & 170.48 & 170.434851902327 & 170.485 & 0.99970585038172 & 1.00026489944497 \tabularnewline
38 & 170.48 & 170.673104075647 & 170.605833333333 & 1.00039430505393 & 0.998868573483251 \tabularnewline
39 & 170.49 & 170.693733376359 & 170.70625 & 0.999926677414323 & 0.998806439039507 \tabularnewline
40 & 170.72 & 170.816080393384 & 170.827083333333 & 0.999935590190184 & 0.999437521378765 \tabularnewline
41 & 171.11 & 171.072327388346 & 170.99625 & 1.0004449067646 & 1.00022021452697 \tabularnewline
42 & 171.07 & 171.15278622658 & 171.185833333333 & 0.999806951859801 & 0.999516302197557 \tabularnewline
43 & 171.07 & 171.289329426457 & 171.384166666667 & 0.999446639429685 & 0.998719538297036 \tabularnewline
44 & 171.07 & 171.383161173332 & 171.598333333333 & 0.998746070804874 & 0.998172742460883 \tabularnewline
45 & 171.05 & 171.525730591286 & 171.82625 & 0.998251027367973 & 0.997226476811111 \tabularnewline
46 & 172.28 & 172.347998394748 & 172.05 & 1.00173204530513 & 0.999605458749849 \tabularnewline
47 & 172.74 & 172.42108849465 & 172.235 & 1.00108043367869 & 1.00184960846805 \tabularnewline
48 & 172.86 & 172.480030144648 & 172.38875 & 1.00052950174909 & 1.002202978832 \tabularnewline
49 & 172.86 & 172.497161762844 & 172.547916666667 & 0.99970585038172 & 1.0021034446796 \tabularnewline
50 & 173.24 & 172.763094511289 & 172.695 & 1.00039430505393 & 1.0027604592871 \tabularnewline
51 & 173.2 & 172.821494018673 & 172.834166666667 & 0.999926677414323 & 1.00219015570648 \tabularnewline
52 & 173.38 & 172.910112175174 & 172.92125 & 0.999935590190184 & 1.00271752657444 \tabularnewline
53 & 172.89 & 172.995265869556 & 172.918333333333 & 1.0004449067646 & 0.999391510114296 \tabularnewline
54 & 172.98 & 172.837877526694 & 172.87125 & 0.999806951859801 & 1.00082228777245 \tabularnewline
55 & 172.98 & NA & NA & 0.999446639429685 & NA \tabularnewline
56 & 172.69 & NA & NA & 0.998746070804874 & NA \tabularnewline
57 & 172.77 & NA & NA & 0.998251027367973 & NA \tabularnewline
58 & 172.65 & NA & NA & 1.00173204530513 & NA \tabularnewline
59 & 172.3 & NA & NA & 1.00108043367869 & NA \tabularnewline
60 & 172.17 & NA & NA & 1.00052950174909 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166353&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]163.93[/C][C]NA[/C][C]NA[/C][C]0.99970585038172[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]164.28[/C][C]NA[/C][C]NA[/C][C]1.00039430505393[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]164.58[/C][C]NA[/C][C]NA[/C][C]0.999926677414323[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]165.97[/C][C]NA[/C][C]NA[/C][C]0.999935590190184[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]166.3[/C][C]NA[/C][C]NA[/C][C]1.0004449067646[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]166.27[/C][C]NA[/C][C]NA[/C][C]0.999806951859801[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]166.27[/C][C]165.769052488007[/C][C]165.860833333333[/C][C]0.999446639429685[/C][C]1.00302196039897[/C][/ROW]
[ROW][C]8[/C][C]166.44[/C][C]165.826387721891[/C][C]166.034583333333[/C][C]0.998746070804874[/C][C]1.00370032952257[/C][/ROW]
[ROW][C]9[/C][C]166.26[/C][C]165.897258548643[/C][C]166.187916666667[/C][C]0.998251027367973[/C][C]1.00218654277069[/C][/ROW]
[ROW][C]10[/C][C]166.64[/C][C]166.572595765211[/C][C]166.284583333333[/C][C]1.00173204530513[/C][C]1.00040465380562[/C][/ROW]
[ROW][C]11[/C][C]166.07[/C][C]166.52347338974[/C][C]166.34375[/C][C]1.00108043367869[/C][C]0.997276820015166[/C][/ROW]
[ROW][C]12[/C][C]166.19[/C][C]166.505201470036[/C][C]166.417083333333[/C][C]1.00052950174909[/C][C]0.998106957216631[/C][/ROW]
[ROW][C]13[/C][C]166.19[/C][C]166.442276662365[/C][C]166.49125[/C][C]0.99970585038172[/C][C]0.998484299377392[/C][/ROW]
[ROW][C]14[/C][C]166.19[/C][C]166.624008125941[/C][C]166.558333333333[/C][C]1.00039430505393[/C][C]0.997395284564195[/C][/ROW]
[ROW][C]15[/C][C]166.35[/C][C]166.623198527051[/C][C]166.635416666667[/C][C]0.999926677414323[/C][C]0.998360381210621[/C][/ROW]
[ROW][C]16[/C][C]166.52[/C][C]166.747592460798[/C][C]166.758333333333[/C][C]0.999935590190184[/C][C]0.998635107965043[/C][/ROW]
[ROW][C]17[/C][C]167.17[/C][C]167.011771623015[/C][C]166.9375[/C][C]1.0004449067646[/C][C]1.00094740852963[/C][/ROW]
[ROW][C]18[/C][C]167.16[/C][C]167.108150520077[/C][C]167.140416666667[/C][C]0.999806951859801[/C][C]1.00031027499115[/C][/ROW]
[ROW][C]19[/C][C]167.16[/C][C]167.246984206064[/C][C]167.339583333333[/C][C]0.999446639429685[/C][C]0.999479905682745[/C][/ROW]
[ROW][C]20[/C][C]167.16[/C][C]167.354885354419[/C][C]167.565[/C][C]0.998746070804874[/C][C]0.998835496472027[/C][/ROW]
[ROW][C]21[/C][C]167.39[/C][C]167.519832406044[/C][C]167.813333333333[/C][C]0.998251027367973[/C][C]0.99922497292303[/C][/ROW]
[ROW][C]22[/C][C]168.46[/C][C]168.340235436823[/C][C]168.049166666667[/C][C]1.00173204530513[/C][C]1.00071144348151[/C][/ROW]
[ROW][C]23[/C][C]168.55[/C][C]168.442628004472[/C][C]168.260833333333[/C][C]1.00108043367869[/C][C]1.00063743956503[/C][/ROW]
[ROW][C]24[/C][C]168.58[/C][C]168.548782977359[/C][C]168.459583333333[/C][C]1.00052950174909[/C][C]1.00018521060841[/C][/ROW]
[ROW][C]25[/C][C]168.58[/C][C]168.610805269485[/C][C]168.660416666667[/C][C]0.99970585038172[/C][C]0.999817299553039[/C][/ROW]
[ROW][C]26[/C][C]169.21[/C][C]168.932001153893[/C][C]168.865416666667[/C][C]1.00039430505393[/C][C]1.00164562572046[/C][/ROW]
[ROW][C]27[/C][C]169.29[/C][C]169.068019253329[/C][C]169.080416666667[/C][C]0.999926677414323[/C][C]1.0013129670984[/C][/ROW]
[ROW][C]28[/C][C]169.24[/C][C]169.26034727098[/C][C]169.27125[/C][C]0.999935590190184[/C][C]0.99987978713675[/C][/ROW]
[ROW][C]29[/C][C]169.53[/C][C]169.511216481749[/C][C]169.435833333333[/C][C]1.0004449067646[/C][C]1.0001108098841[/C][/ROW]
[ROW][C]30[/C][C]169.57[/C][C]169.566425862962[/C][C]169.599166666667[/C][C]0.999806951859801[/C][C]1.00002107809385[/C][/ROW]
[ROW][C]31[/C][C]169.57[/C][C]169.663562892985[/C][C]169.7575[/C][C]0.999446639429685[/C][C]0.999448538676253[/C][/ROW]
[ROW][C]32[/C][C]169.67[/C][C]169.676553824844[/C][C]169.889583333333[/C][C]0.998746070804874[/C][C]0.999961374599518[/C][/ROW]
[ROW][C]33[/C][C]170.04[/C][C]169.69518776985[/C][C]169.9925[/C][C]0.998251027367973[/C][C]1.00203195055017[/C][/ROW]
[ROW][C]34[/C][C]170.39[/C][C]170.398794789925[/C][C]170.104166666667[/C][C]1.00173204530513[/C][C]0.999948387018021[/C][/ROW]
[ROW][C]35[/C][C]170.57[/C][C]170.415590692513[/C][C]170.231666666667[/C][C]1.00108043367869[/C][C]1.00090607500675[/C][/ROW]
[ROW][C]36[/C][C]170.48[/C][C]170.450205917974[/C][C]170.36[/C][C]1.00052950174909[/C][C]1.00017479639796[/C][/ROW]
[ROW][C]37[/C][C]170.48[/C][C]170.434851902327[/C][C]170.485[/C][C]0.99970585038172[/C][C]1.00026489944497[/C][/ROW]
[ROW][C]38[/C][C]170.48[/C][C]170.673104075647[/C][C]170.605833333333[/C][C]1.00039430505393[/C][C]0.998868573483251[/C][/ROW]
[ROW][C]39[/C][C]170.49[/C][C]170.693733376359[/C][C]170.70625[/C][C]0.999926677414323[/C][C]0.998806439039507[/C][/ROW]
[ROW][C]40[/C][C]170.72[/C][C]170.816080393384[/C][C]170.827083333333[/C][C]0.999935590190184[/C][C]0.999437521378765[/C][/ROW]
[ROW][C]41[/C][C]171.11[/C][C]171.072327388346[/C][C]170.99625[/C][C]1.0004449067646[/C][C]1.00022021452697[/C][/ROW]
[ROW][C]42[/C][C]171.07[/C][C]171.15278622658[/C][C]171.185833333333[/C][C]0.999806951859801[/C][C]0.999516302197557[/C][/ROW]
[ROW][C]43[/C][C]171.07[/C][C]171.289329426457[/C][C]171.384166666667[/C][C]0.999446639429685[/C][C]0.998719538297036[/C][/ROW]
[ROW][C]44[/C][C]171.07[/C][C]171.383161173332[/C][C]171.598333333333[/C][C]0.998746070804874[/C][C]0.998172742460883[/C][/ROW]
[ROW][C]45[/C][C]171.05[/C][C]171.525730591286[/C][C]171.82625[/C][C]0.998251027367973[/C][C]0.997226476811111[/C][/ROW]
[ROW][C]46[/C][C]172.28[/C][C]172.347998394748[/C][C]172.05[/C][C]1.00173204530513[/C][C]0.999605458749849[/C][/ROW]
[ROW][C]47[/C][C]172.74[/C][C]172.42108849465[/C][C]172.235[/C][C]1.00108043367869[/C][C]1.00184960846805[/C][/ROW]
[ROW][C]48[/C][C]172.86[/C][C]172.480030144648[/C][C]172.38875[/C][C]1.00052950174909[/C][C]1.002202978832[/C][/ROW]
[ROW][C]49[/C][C]172.86[/C][C]172.497161762844[/C][C]172.547916666667[/C][C]0.99970585038172[/C][C]1.0021034446796[/C][/ROW]
[ROW][C]50[/C][C]173.24[/C][C]172.763094511289[/C][C]172.695[/C][C]1.00039430505393[/C][C]1.0027604592871[/C][/ROW]
[ROW][C]51[/C][C]173.2[/C][C]172.821494018673[/C][C]172.834166666667[/C][C]0.999926677414323[/C][C]1.00219015570648[/C][/ROW]
[ROW][C]52[/C][C]173.38[/C][C]172.910112175174[/C][C]172.92125[/C][C]0.999935590190184[/C][C]1.00271752657444[/C][/ROW]
[ROW][C]53[/C][C]172.89[/C][C]172.995265869556[/C][C]172.918333333333[/C][C]1.0004449067646[/C][C]0.999391510114296[/C][/ROW]
[ROW][C]54[/C][C]172.98[/C][C]172.837877526694[/C][C]172.87125[/C][C]0.999806951859801[/C][C]1.00082228777245[/C][/ROW]
[ROW][C]55[/C][C]172.98[/C][C]NA[/C][C]NA[/C][C]0.999446639429685[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]172.69[/C][C]NA[/C][C]NA[/C][C]0.998746070804874[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]172.77[/C][C]NA[/C][C]NA[/C][C]0.998251027367973[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]172.65[/C][C]NA[/C][C]NA[/C][C]1.00173204530513[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]172.3[/C][C]NA[/C][C]NA[/C][C]1.00108043367869[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]172.17[/C][C]NA[/C][C]NA[/C][C]1.00052950174909[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166353&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166353&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
1163.93NANA0.99970585038172NA
2164.28NANA1.00039430505393NA
3164.58NANA0.999926677414323NA
4165.97NANA0.999935590190184NA
5166.3NANA1.0004449067646NA
6166.27NANA0.999806951859801NA
7166.27165.769052488007165.8608333333330.9994466394296851.00302196039897
8166.44165.826387721891166.0345833333330.9987460708048741.00370032952257
9166.26165.897258548643166.1879166666670.9982510273679731.00218654277069
10166.64166.572595765211166.2845833333331.001732045305131.00040465380562
11166.07166.52347338974166.343751.001080433678690.997276820015166
12166.19166.505201470036166.4170833333331.000529501749090.998106957216631
13166.19166.442276662365166.491250.999705850381720.998484299377392
14166.19166.624008125941166.5583333333331.000394305053930.997395284564195
15166.35166.623198527051166.6354166666670.9999266774143230.998360381210621
16166.52166.747592460798166.7583333333330.9999355901901840.998635107965043
17167.17167.011771623015166.93751.00044490676461.00094740852963
18167.16167.108150520077167.1404166666670.9998069518598011.00031027499115
19167.16167.246984206064167.3395833333330.9994466394296850.999479905682745
20167.16167.354885354419167.5650.9987460708048740.998835496472027
21167.39167.519832406044167.8133333333330.9982510273679730.99922497292303
22168.46168.340235436823168.0491666666671.001732045305131.00071144348151
23168.55168.442628004472168.2608333333331.001080433678691.00063743956503
24168.58168.548782977359168.4595833333331.000529501749091.00018521060841
25168.58168.610805269485168.6604166666670.999705850381720.999817299553039
26169.21168.932001153893168.8654166666671.000394305053931.00164562572046
27169.29169.068019253329169.0804166666670.9999266774143231.0013129670984
28169.24169.26034727098169.271250.9999355901901840.99987978713675
29169.53169.511216481749169.4358333333331.00044490676461.0001108098841
30169.57169.566425862962169.5991666666670.9998069518598011.00002107809385
31169.57169.663562892985169.75750.9994466394296850.999448538676253
32169.67169.676553824844169.8895833333330.9987460708048740.999961374599518
33170.04169.69518776985169.99250.9982510273679731.00203195055017
34170.39170.398794789925170.1041666666671.001732045305130.999948387018021
35170.57170.415590692513170.2316666666671.001080433678691.00090607500675
36170.48170.450205917974170.361.000529501749091.00017479639796
37170.48170.434851902327170.4850.999705850381721.00026489944497
38170.48170.673104075647170.6058333333331.000394305053930.998868573483251
39170.49170.693733376359170.706250.9999266774143230.998806439039507
40170.72170.816080393384170.8270833333330.9999355901901840.999437521378765
41171.11171.072327388346170.996251.00044490676461.00022021452697
42171.07171.15278622658171.1858333333330.9998069518598010.999516302197557
43171.07171.289329426457171.3841666666670.9994466394296850.998719538297036
44171.07171.383161173332171.5983333333330.9987460708048740.998172742460883
45171.05171.525730591286171.826250.9982510273679730.997226476811111
46172.28172.347998394748172.051.001732045305130.999605458749849
47172.74172.42108849465172.2351.001080433678691.00184960846805
48172.86172.480030144648172.388751.000529501749091.002202978832
49172.86172.497161762844172.5479166666670.999705850381721.0021034446796
50173.24172.763094511289172.6951.000394305053931.0027604592871
51173.2172.821494018673172.8341666666670.9999266774143231.00219015570648
52173.38172.910112175174172.921250.9999355901901841.00271752657444
53172.89172.995265869556172.9183333333331.00044490676460.999391510114296
54172.98172.837877526694172.871250.9998069518598011.00082228777245
55172.98NANA0.999446639429685NA
56172.69NANA0.998746070804874NA
57172.77NANA0.998251027367973NA
58172.65NANA1.00173204530513NA
59172.3NANA1.00108043367869NA
60172.17NANA1.00052950174909NA



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')