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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 12 Dec 2013 14:13:02 -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/2013/Dec/12/t1386875612px0sjcd4l7ou08g.htm/, Retrieved Tue, 07 Dec 2021 11:05:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232270, Retrieved Tue, 07 Dec 2021 11:05:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact42
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-12-12 19:13:02] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
20,1
20,1
20,1
20,3
20,7
20,6
20,3
19,9
19,7
19,4
19,1
18,8
18,9
18,7
18,8
19,5
19,3
19,1
19,1
19
18,8
19,2
18,9
18,7
18,5
18,4
18,3
18,3
18,3
18,5
19,2
19,4
19,1
19,5
18,8
19,3
20,4
20,9
21,1
20,6
20,4
20,8
21,1
21,6
22
22,2
22,4
22,8
22,7
22,8
22,9
22,9
22,6
21,9
20,8
20,3
20,4
21,2
21,4
20,9
20
19,5
19,2
19,3
19,4
19,5
20
20,1
19,5
18,6
18,4
18,4
19,3
19,8
19,8
19,8
20,1
20,3
19,7
20,2
20,6
21
21,4
21,9




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232270&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232270&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232270&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 time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
120.1NANA1.00003NA
220.1NANA1.00245NA
320.1NANA1.00179NA
420.3NANA1.00372NA
520.7NANA1.00013NA
620.6NANA0.998746NA
720.319.989219.8751.005751.01555
819.919.85219.76671.004321.00242
919.719.593619.65420.996921.00543
1019.419.600719.56671.001740.98976
1119.119.329919.4750.9925480.988108
1218.819.196719.35420.9918620.979337
1318.919.242319.24171.000030.982213
1418.719.201219.15421.002450.973899
1518.819.113219.07921.001790.983611
1619.519.104219.03331.003721.02072
1719.319.019119.01671.000131.01477
1819.118.980319.00420.9987461.0063
1919.119.092418.98331.005751.0004
201919.03618.95421.004320.998108
2118.818.862618.92080.996920.996683
2219.218.882818.851.001741.0168
2318.918.618618.75830.9925481.01512
2418.718.539618.69170.9918621.00865
2518.518.671418.67081.000030.99082
2618.418.737518.69171.002450.981987
2718.318.754318.72081.001790.975778
2818.318.815618.74581.003720.972596
2918.318.756518.75421.000130.975661
3018.518.751518.7750.9987460.98659
3119.218.987718.87921.005751.01118
3219.419.144819.06251.004321.01333
3319.119.223919.28330.996920.993553
3419.519.529819.49581.001740.998476
3518.819.532519.67920.9925480.962497
3619.319.700919.86250.9918620.979653
3720.420.038120.03751.000031.01806
3820.920.257920.20831.002451.0317
3921.120.457320.42081.001791.03142
4020.620.731120.65421.003720.993678
4120.420.919320.91671.000130.975176
4220.821.185921.21250.9987460.981785
4321.121.577521.45421.005750.977873
4421.621.722621.62921.004320.994357
452221.716221.78330.996921.01307
4622.221.992421.95421.001741.00944
4722.421.976722.14170.9925481.01926
4822.822.097922.27920.9918621.03177
4922.722.313222.31251.000031.01734
5022.822.300422.24581.002451.0224
5122.922.164522.1251.001791.03318
5222.922.098622.01671.003721.03626
5322.621.936121.93331.000131.03027
5421.921.785121.81250.9987461.00527
5520.821.745121.62081.005750.956538
5620.321.463121.37081.004320.945808
5720.421.014221.07920.996920.97077
5821.220.811220.7751.001741.01868
5921.420.33920.49170.9925481.05217
6020.920.093520.25830.9918621.04014
612020.125620.1251.000030.993758
6219.520.132620.08331.002450.968578
6319.220.073320.03751.001790.956495
6419.319.965719.89171.003720.966657
6519.419.660819.65831.000130.986735
6619.519.404819.42920.9987461.00491
672019.406719.29581.005751.03057
6820.119.362419.27921.004321.03809
6919.519.257219.31670.996921.01261
7018.619.396219.36251.001740.958951
7118.419.267819.41250.9925480.954959
7218.419.316519.4750.9918620.952553
7319.319.496419.49581.000030.989925
7419.819.535319.48751.002451.01355
7519.819.572419.53751.001791.01163
7619.819.756619.68331.003721.0022
7720.119.910819.90831.000131.0095
7820.320.153920.17920.9987461.00725
7919.7NANA1.00575NA
8020.2NANA1.00432NA
8120.6NANA0.99692NA
8221NANA1.00174NA
8321.4NANA0.992548NA
8421.9NANA0.991862NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 20.1 & NA & NA & 1.00003 & NA \tabularnewline
2 & 20.1 & NA & NA & 1.00245 & NA \tabularnewline
3 & 20.1 & NA & NA & 1.00179 & NA \tabularnewline
4 & 20.3 & NA & NA & 1.00372 & NA \tabularnewline
5 & 20.7 & NA & NA & 1.00013 & NA \tabularnewline
6 & 20.6 & NA & NA & 0.998746 & NA \tabularnewline
7 & 20.3 & 19.9892 & 19.875 & 1.00575 & 1.01555 \tabularnewline
8 & 19.9 & 19.852 & 19.7667 & 1.00432 & 1.00242 \tabularnewline
9 & 19.7 & 19.5936 & 19.6542 & 0.99692 & 1.00543 \tabularnewline
10 & 19.4 & 19.6007 & 19.5667 & 1.00174 & 0.98976 \tabularnewline
11 & 19.1 & 19.3299 & 19.475 & 0.992548 & 0.988108 \tabularnewline
12 & 18.8 & 19.1967 & 19.3542 & 0.991862 & 0.979337 \tabularnewline
13 & 18.9 & 19.2423 & 19.2417 & 1.00003 & 0.982213 \tabularnewline
14 & 18.7 & 19.2012 & 19.1542 & 1.00245 & 0.973899 \tabularnewline
15 & 18.8 & 19.1132 & 19.0792 & 1.00179 & 0.983611 \tabularnewline
16 & 19.5 & 19.1042 & 19.0333 & 1.00372 & 1.02072 \tabularnewline
17 & 19.3 & 19.0191 & 19.0167 & 1.00013 & 1.01477 \tabularnewline
18 & 19.1 & 18.9803 & 19.0042 & 0.998746 & 1.0063 \tabularnewline
19 & 19.1 & 19.0924 & 18.9833 & 1.00575 & 1.0004 \tabularnewline
20 & 19 & 19.036 & 18.9542 & 1.00432 & 0.998108 \tabularnewline
21 & 18.8 & 18.8626 & 18.9208 & 0.99692 & 0.996683 \tabularnewline
22 & 19.2 & 18.8828 & 18.85 & 1.00174 & 1.0168 \tabularnewline
23 & 18.9 & 18.6186 & 18.7583 & 0.992548 & 1.01512 \tabularnewline
24 & 18.7 & 18.5396 & 18.6917 & 0.991862 & 1.00865 \tabularnewline
25 & 18.5 & 18.6714 & 18.6708 & 1.00003 & 0.99082 \tabularnewline
26 & 18.4 & 18.7375 & 18.6917 & 1.00245 & 0.981987 \tabularnewline
27 & 18.3 & 18.7543 & 18.7208 & 1.00179 & 0.975778 \tabularnewline
28 & 18.3 & 18.8156 & 18.7458 & 1.00372 & 0.972596 \tabularnewline
29 & 18.3 & 18.7565 & 18.7542 & 1.00013 & 0.975661 \tabularnewline
30 & 18.5 & 18.7515 & 18.775 & 0.998746 & 0.98659 \tabularnewline
31 & 19.2 & 18.9877 & 18.8792 & 1.00575 & 1.01118 \tabularnewline
32 & 19.4 & 19.1448 & 19.0625 & 1.00432 & 1.01333 \tabularnewline
33 & 19.1 & 19.2239 & 19.2833 & 0.99692 & 0.993553 \tabularnewline
34 & 19.5 & 19.5298 & 19.4958 & 1.00174 & 0.998476 \tabularnewline
35 & 18.8 & 19.5325 & 19.6792 & 0.992548 & 0.962497 \tabularnewline
36 & 19.3 & 19.7009 & 19.8625 & 0.991862 & 0.979653 \tabularnewline
37 & 20.4 & 20.0381 & 20.0375 & 1.00003 & 1.01806 \tabularnewline
38 & 20.9 & 20.2579 & 20.2083 & 1.00245 & 1.0317 \tabularnewline
39 & 21.1 & 20.4573 & 20.4208 & 1.00179 & 1.03142 \tabularnewline
40 & 20.6 & 20.7311 & 20.6542 & 1.00372 & 0.993678 \tabularnewline
41 & 20.4 & 20.9193 & 20.9167 & 1.00013 & 0.975176 \tabularnewline
42 & 20.8 & 21.1859 & 21.2125 & 0.998746 & 0.981785 \tabularnewline
43 & 21.1 & 21.5775 & 21.4542 & 1.00575 & 0.977873 \tabularnewline
44 & 21.6 & 21.7226 & 21.6292 & 1.00432 & 0.994357 \tabularnewline
45 & 22 & 21.7162 & 21.7833 & 0.99692 & 1.01307 \tabularnewline
46 & 22.2 & 21.9924 & 21.9542 & 1.00174 & 1.00944 \tabularnewline
47 & 22.4 & 21.9767 & 22.1417 & 0.992548 & 1.01926 \tabularnewline
48 & 22.8 & 22.0979 & 22.2792 & 0.991862 & 1.03177 \tabularnewline
49 & 22.7 & 22.3132 & 22.3125 & 1.00003 & 1.01734 \tabularnewline
50 & 22.8 & 22.3004 & 22.2458 & 1.00245 & 1.0224 \tabularnewline
51 & 22.9 & 22.1645 & 22.125 & 1.00179 & 1.03318 \tabularnewline
52 & 22.9 & 22.0986 & 22.0167 & 1.00372 & 1.03626 \tabularnewline
53 & 22.6 & 21.9361 & 21.9333 & 1.00013 & 1.03027 \tabularnewline
54 & 21.9 & 21.7851 & 21.8125 & 0.998746 & 1.00527 \tabularnewline
55 & 20.8 & 21.7451 & 21.6208 & 1.00575 & 0.956538 \tabularnewline
56 & 20.3 & 21.4631 & 21.3708 & 1.00432 & 0.945808 \tabularnewline
57 & 20.4 & 21.0142 & 21.0792 & 0.99692 & 0.97077 \tabularnewline
58 & 21.2 & 20.8112 & 20.775 & 1.00174 & 1.01868 \tabularnewline
59 & 21.4 & 20.339 & 20.4917 & 0.992548 & 1.05217 \tabularnewline
60 & 20.9 & 20.0935 & 20.2583 & 0.991862 & 1.04014 \tabularnewline
61 & 20 & 20.1256 & 20.125 & 1.00003 & 0.993758 \tabularnewline
62 & 19.5 & 20.1326 & 20.0833 & 1.00245 & 0.968578 \tabularnewline
63 & 19.2 & 20.0733 & 20.0375 & 1.00179 & 0.956495 \tabularnewline
64 & 19.3 & 19.9657 & 19.8917 & 1.00372 & 0.966657 \tabularnewline
65 & 19.4 & 19.6608 & 19.6583 & 1.00013 & 0.986735 \tabularnewline
66 & 19.5 & 19.4048 & 19.4292 & 0.998746 & 1.00491 \tabularnewline
67 & 20 & 19.4067 & 19.2958 & 1.00575 & 1.03057 \tabularnewline
68 & 20.1 & 19.3624 & 19.2792 & 1.00432 & 1.03809 \tabularnewline
69 & 19.5 & 19.2572 & 19.3167 & 0.99692 & 1.01261 \tabularnewline
70 & 18.6 & 19.3962 & 19.3625 & 1.00174 & 0.958951 \tabularnewline
71 & 18.4 & 19.2678 & 19.4125 & 0.992548 & 0.954959 \tabularnewline
72 & 18.4 & 19.3165 & 19.475 & 0.991862 & 0.952553 \tabularnewline
73 & 19.3 & 19.4964 & 19.4958 & 1.00003 & 0.989925 \tabularnewline
74 & 19.8 & 19.5353 & 19.4875 & 1.00245 & 1.01355 \tabularnewline
75 & 19.8 & 19.5724 & 19.5375 & 1.00179 & 1.01163 \tabularnewline
76 & 19.8 & 19.7566 & 19.6833 & 1.00372 & 1.0022 \tabularnewline
77 & 20.1 & 19.9108 & 19.9083 & 1.00013 & 1.0095 \tabularnewline
78 & 20.3 & 20.1539 & 20.1792 & 0.998746 & 1.00725 \tabularnewline
79 & 19.7 & NA & NA & 1.00575 & NA \tabularnewline
80 & 20.2 & NA & NA & 1.00432 & NA \tabularnewline
81 & 20.6 & NA & NA & 0.99692 & NA \tabularnewline
82 & 21 & NA & NA & 1.00174 & NA \tabularnewline
83 & 21.4 & NA & NA & 0.992548 & NA \tabularnewline
84 & 21.9 & NA & NA & 0.991862 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232270&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]20.1[/C][C]NA[/C][C]NA[/C][C]1.00003[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]20.1[/C][C]NA[/C][C]NA[/C][C]1.00245[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]20.1[/C][C]NA[/C][C]NA[/C][C]1.00179[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]20.3[/C][C]NA[/C][C]NA[/C][C]1.00372[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]20.7[/C][C]NA[/C][C]NA[/C][C]1.00013[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]20.6[/C][C]NA[/C][C]NA[/C][C]0.998746[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]20.3[/C][C]19.9892[/C][C]19.875[/C][C]1.00575[/C][C]1.01555[/C][/ROW]
[ROW][C]8[/C][C]19.9[/C][C]19.852[/C][C]19.7667[/C][C]1.00432[/C][C]1.00242[/C][/ROW]
[ROW][C]9[/C][C]19.7[/C][C]19.5936[/C][C]19.6542[/C][C]0.99692[/C][C]1.00543[/C][/ROW]
[ROW][C]10[/C][C]19.4[/C][C]19.6007[/C][C]19.5667[/C][C]1.00174[/C][C]0.98976[/C][/ROW]
[ROW][C]11[/C][C]19.1[/C][C]19.3299[/C][C]19.475[/C][C]0.992548[/C][C]0.988108[/C][/ROW]
[ROW][C]12[/C][C]18.8[/C][C]19.1967[/C][C]19.3542[/C][C]0.991862[/C][C]0.979337[/C][/ROW]
[ROW][C]13[/C][C]18.9[/C][C]19.2423[/C][C]19.2417[/C][C]1.00003[/C][C]0.982213[/C][/ROW]
[ROW][C]14[/C][C]18.7[/C][C]19.2012[/C][C]19.1542[/C][C]1.00245[/C][C]0.973899[/C][/ROW]
[ROW][C]15[/C][C]18.8[/C][C]19.1132[/C][C]19.0792[/C][C]1.00179[/C][C]0.983611[/C][/ROW]
[ROW][C]16[/C][C]19.5[/C][C]19.1042[/C][C]19.0333[/C][C]1.00372[/C][C]1.02072[/C][/ROW]
[ROW][C]17[/C][C]19.3[/C][C]19.0191[/C][C]19.0167[/C][C]1.00013[/C][C]1.01477[/C][/ROW]
[ROW][C]18[/C][C]19.1[/C][C]18.9803[/C][C]19.0042[/C][C]0.998746[/C][C]1.0063[/C][/ROW]
[ROW][C]19[/C][C]19.1[/C][C]19.0924[/C][C]18.9833[/C][C]1.00575[/C][C]1.0004[/C][/ROW]
[ROW][C]20[/C][C]19[/C][C]19.036[/C][C]18.9542[/C][C]1.00432[/C][C]0.998108[/C][/ROW]
[ROW][C]21[/C][C]18.8[/C][C]18.8626[/C][C]18.9208[/C][C]0.99692[/C][C]0.996683[/C][/ROW]
[ROW][C]22[/C][C]19.2[/C][C]18.8828[/C][C]18.85[/C][C]1.00174[/C][C]1.0168[/C][/ROW]
[ROW][C]23[/C][C]18.9[/C][C]18.6186[/C][C]18.7583[/C][C]0.992548[/C][C]1.01512[/C][/ROW]
[ROW][C]24[/C][C]18.7[/C][C]18.5396[/C][C]18.6917[/C][C]0.991862[/C][C]1.00865[/C][/ROW]
[ROW][C]25[/C][C]18.5[/C][C]18.6714[/C][C]18.6708[/C][C]1.00003[/C][C]0.99082[/C][/ROW]
[ROW][C]26[/C][C]18.4[/C][C]18.7375[/C][C]18.6917[/C][C]1.00245[/C][C]0.981987[/C][/ROW]
[ROW][C]27[/C][C]18.3[/C][C]18.7543[/C][C]18.7208[/C][C]1.00179[/C][C]0.975778[/C][/ROW]
[ROW][C]28[/C][C]18.3[/C][C]18.8156[/C][C]18.7458[/C][C]1.00372[/C][C]0.972596[/C][/ROW]
[ROW][C]29[/C][C]18.3[/C][C]18.7565[/C][C]18.7542[/C][C]1.00013[/C][C]0.975661[/C][/ROW]
[ROW][C]30[/C][C]18.5[/C][C]18.7515[/C][C]18.775[/C][C]0.998746[/C][C]0.98659[/C][/ROW]
[ROW][C]31[/C][C]19.2[/C][C]18.9877[/C][C]18.8792[/C][C]1.00575[/C][C]1.01118[/C][/ROW]
[ROW][C]32[/C][C]19.4[/C][C]19.1448[/C][C]19.0625[/C][C]1.00432[/C][C]1.01333[/C][/ROW]
[ROW][C]33[/C][C]19.1[/C][C]19.2239[/C][C]19.2833[/C][C]0.99692[/C][C]0.993553[/C][/ROW]
[ROW][C]34[/C][C]19.5[/C][C]19.5298[/C][C]19.4958[/C][C]1.00174[/C][C]0.998476[/C][/ROW]
[ROW][C]35[/C][C]18.8[/C][C]19.5325[/C][C]19.6792[/C][C]0.992548[/C][C]0.962497[/C][/ROW]
[ROW][C]36[/C][C]19.3[/C][C]19.7009[/C][C]19.8625[/C][C]0.991862[/C][C]0.979653[/C][/ROW]
[ROW][C]37[/C][C]20.4[/C][C]20.0381[/C][C]20.0375[/C][C]1.00003[/C][C]1.01806[/C][/ROW]
[ROW][C]38[/C][C]20.9[/C][C]20.2579[/C][C]20.2083[/C][C]1.00245[/C][C]1.0317[/C][/ROW]
[ROW][C]39[/C][C]21.1[/C][C]20.4573[/C][C]20.4208[/C][C]1.00179[/C][C]1.03142[/C][/ROW]
[ROW][C]40[/C][C]20.6[/C][C]20.7311[/C][C]20.6542[/C][C]1.00372[/C][C]0.993678[/C][/ROW]
[ROW][C]41[/C][C]20.4[/C][C]20.9193[/C][C]20.9167[/C][C]1.00013[/C][C]0.975176[/C][/ROW]
[ROW][C]42[/C][C]20.8[/C][C]21.1859[/C][C]21.2125[/C][C]0.998746[/C][C]0.981785[/C][/ROW]
[ROW][C]43[/C][C]21.1[/C][C]21.5775[/C][C]21.4542[/C][C]1.00575[/C][C]0.977873[/C][/ROW]
[ROW][C]44[/C][C]21.6[/C][C]21.7226[/C][C]21.6292[/C][C]1.00432[/C][C]0.994357[/C][/ROW]
[ROW][C]45[/C][C]22[/C][C]21.7162[/C][C]21.7833[/C][C]0.99692[/C][C]1.01307[/C][/ROW]
[ROW][C]46[/C][C]22.2[/C][C]21.9924[/C][C]21.9542[/C][C]1.00174[/C][C]1.00944[/C][/ROW]
[ROW][C]47[/C][C]22.4[/C][C]21.9767[/C][C]22.1417[/C][C]0.992548[/C][C]1.01926[/C][/ROW]
[ROW][C]48[/C][C]22.8[/C][C]22.0979[/C][C]22.2792[/C][C]0.991862[/C][C]1.03177[/C][/ROW]
[ROW][C]49[/C][C]22.7[/C][C]22.3132[/C][C]22.3125[/C][C]1.00003[/C][C]1.01734[/C][/ROW]
[ROW][C]50[/C][C]22.8[/C][C]22.3004[/C][C]22.2458[/C][C]1.00245[/C][C]1.0224[/C][/ROW]
[ROW][C]51[/C][C]22.9[/C][C]22.1645[/C][C]22.125[/C][C]1.00179[/C][C]1.03318[/C][/ROW]
[ROW][C]52[/C][C]22.9[/C][C]22.0986[/C][C]22.0167[/C][C]1.00372[/C][C]1.03626[/C][/ROW]
[ROW][C]53[/C][C]22.6[/C][C]21.9361[/C][C]21.9333[/C][C]1.00013[/C][C]1.03027[/C][/ROW]
[ROW][C]54[/C][C]21.9[/C][C]21.7851[/C][C]21.8125[/C][C]0.998746[/C][C]1.00527[/C][/ROW]
[ROW][C]55[/C][C]20.8[/C][C]21.7451[/C][C]21.6208[/C][C]1.00575[/C][C]0.956538[/C][/ROW]
[ROW][C]56[/C][C]20.3[/C][C]21.4631[/C][C]21.3708[/C][C]1.00432[/C][C]0.945808[/C][/ROW]
[ROW][C]57[/C][C]20.4[/C][C]21.0142[/C][C]21.0792[/C][C]0.99692[/C][C]0.97077[/C][/ROW]
[ROW][C]58[/C][C]21.2[/C][C]20.8112[/C][C]20.775[/C][C]1.00174[/C][C]1.01868[/C][/ROW]
[ROW][C]59[/C][C]21.4[/C][C]20.339[/C][C]20.4917[/C][C]0.992548[/C][C]1.05217[/C][/ROW]
[ROW][C]60[/C][C]20.9[/C][C]20.0935[/C][C]20.2583[/C][C]0.991862[/C][C]1.04014[/C][/ROW]
[ROW][C]61[/C][C]20[/C][C]20.1256[/C][C]20.125[/C][C]1.00003[/C][C]0.993758[/C][/ROW]
[ROW][C]62[/C][C]19.5[/C][C]20.1326[/C][C]20.0833[/C][C]1.00245[/C][C]0.968578[/C][/ROW]
[ROW][C]63[/C][C]19.2[/C][C]20.0733[/C][C]20.0375[/C][C]1.00179[/C][C]0.956495[/C][/ROW]
[ROW][C]64[/C][C]19.3[/C][C]19.9657[/C][C]19.8917[/C][C]1.00372[/C][C]0.966657[/C][/ROW]
[ROW][C]65[/C][C]19.4[/C][C]19.6608[/C][C]19.6583[/C][C]1.00013[/C][C]0.986735[/C][/ROW]
[ROW][C]66[/C][C]19.5[/C][C]19.4048[/C][C]19.4292[/C][C]0.998746[/C][C]1.00491[/C][/ROW]
[ROW][C]67[/C][C]20[/C][C]19.4067[/C][C]19.2958[/C][C]1.00575[/C][C]1.03057[/C][/ROW]
[ROW][C]68[/C][C]20.1[/C][C]19.3624[/C][C]19.2792[/C][C]1.00432[/C][C]1.03809[/C][/ROW]
[ROW][C]69[/C][C]19.5[/C][C]19.2572[/C][C]19.3167[/C][C]0.99692[/C][C]1.01261[/C][/ROW]
[ROW][C]70[/C][C]18.6[/C][C]19.3962[/C][C]19.3625[/C][C]1.00174[/C][C]0.958951[/C][/ROW]
[ROW][C]71[/C][C]18.4[/C][C]19.2678[/C][C]19.4125[/C][C]0.992548[/C][C]0.954959[/C][/ROW]
[ROW][C]72[/C][C]18.4[/C][C]19.3165[/C][C]19.475[/C][C]0.991862[/C][C]0.952553[/C][/ROW]
[ROW][C]73[/C][C]19.3[/C][C]19.4964[/C][C]19.4958[/C][C]1.00003[/C][C]0.989925[/C][/ROW]
[ROW][C]74[/C][C]19.8[/C][C]19.5353[/C][C]19.4875[/C][C]1.00245[/C][C]1.01355[/C][/ROW]
[ROW][C]75[/C][C]19.8[/C][C]19.5724[/C][C]19.5375[/C][C]1.00179[/C][C]1.01163[/C][/ROW]
[ROW][C]76[/C][C]19.8[/C][C]19.7566[/C][C]19.6833[/C][C]1.00372[/C][C]1.0022[/C][/ROW]
[ROW][C]77[/C][C]20.1[/C][C]19.9108[/C][C]19.9083[/C][C]1.00013[/C][C]1.0095[/C][/ROW]
[ROW][C]78[/C][C]20.3[/C][C]20.1539[/C][C]20.1792[/C][C]0.998746[/C][C]1.00725[/C][/ROW]
[ROW][C]79[/C][C]19.7[/C][C]NA[/C][C]NA[/C][C]1.00575[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]20.2[/C][C]NA[/C][C]NA[/C][C]1.00432[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]20.6[/C][C]NA[/C][C]NA[/C][C]0.99692[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]21[/C][C]NA[/C][C]NA[/C][C]1.00174[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]21.4[/C][C]NA[/C][C]NA[/C][C]0.992548[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]21.9[/C][C]NA[/C][C]NA[/C][C]0.991862[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232270&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232270&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
120.1NANA1.00003NA
220.1NANA1.00245NA
320.1NANA1.00179NA
420.3NANA1.00372NA
520.7NANA1.00013NA
620.6NANA0.998746NA
720.319.989219.8751.005751.01555
819.919.85219.76671.004321.00242
919.719.593619.65420.996921.00543
1019.419.600719.56671.001740.98976
1119.119.329919.4750.9925480.988108
1218.819.196719.35420.9918620.979337
1318.919.242319.24171.000030.982213
1418.719.201219.15421.002450.973899
1518.819.113219.07921.001790.983611
1619.519.104219.03331.003721.02072
1719.319.019119.01671.000131.01477
1819.118.980319.00420.9987461.0063
1919.119.092418.98331.005751.0004
201919.03618.95421.004320.998108
2118.818.862618.92080.996920.996683
2219.218.882818.851.001741.0168
2318.918.618618.75830.9925481.01512
2418.718.539618.69170.9918621.00865
2518.518.671418.67081.000030.99082
2618.418.737518.69171.002450.981987
2718.318.754318.72081.001790.975778
2818.318.815618.74581.003720.972596
2918.318.756518.75421.000130.975661
3018.518.751518.7750.9987460.98659
3119.218.987718.87921.005751.01118
3219.419.144819.06251.004321.01333
3319.119.223919.28330.996920.993553
3419.519.529819.49581.001740.998476
3518.819.532519.67920.9925480.962497
3619.319.700919.86250.9918620.979653
3720.420.038120.03751.000031.01806
3820.920.257920.20831.002451.0317
3921.120.457320.42081.001791.03142
4020.620.731120.65421.003720.993678
4120.420.919320.91671.000130.975176
4220.821.185921.21250.9987460.981785
4321.121.577521.45421.005750.977873
4421.621.722621.62921.004320.994357
452221.716221.78330.996921.01307
4622.221.992421.95421.001741.00944
4722.421.976722.14170.9925481.01926
4822.822.097922.27920.9918621.03177
4922.722.313222.31251.000031.01734
5022.822.300422.24581.002451.0224
5122.922.164522.1251.001791.03318
5222.922.098622.01671.003721.03626
5322.621.936121.93331.000131.03027
5421.921.785121.81250.9987461.00527
5520.821.745121.62081.005750.956538
5620.321.463121.37081.004320.945808
5720.421.014221.07920.996920.97077
5821.220.811220.7751.001741.01868
5921.420.33920.49170.9925481.05217
6020.920.093520.25830.9918621.04014
612020.125620.1251.000030.993758
6219.520.132620.08331.002450.968578
6319.220.073320.03751.001790.956495
6419.319.965719.89171.003720.966657
6519.419.660819.65831.000130.986735
6619.519.404819.42920.9987461.00491
672019.406719.29581.005751.03057
6820.119.362419.27921.004321.03809
6919.519.257219.31670.996921.01261
7018.619.396219.36251.001740.958951
7118.419.267819.41250.9925480.954959
7218.419.316519.4750.9918620.952553
7319.319.496419.49581.000030.989925
7419.819.535319.48751.002451.01355
7519.819.572419.53751.001791.01163
7619.819.756619.68331.003721.0022
7720.119.910819.90831.000131.0095
7820.320.153920.17920.9987461.00725
7919.7NANA1.00575NA
8020.2NANA1.00432NA
8120.6NANA0.99692NA
8221NANA1.00174NA
8321.4NANA0.992548NA
8421.9NANA0.991862NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')