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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 27 Nov 2010 15:01:19 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/27/t1290869976pints3z9588s6l5.htm/, Retrieved Mon, 29 Apr 2024 08:36:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102401, Retrieved Mon, 29 Apr 2024 08:36:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
-  MPD    [Classical Decomposition] [] [2010-11-27 15:01:19] [558c060a42ec367ec2c020fab85c25c7] [Current]
-   PD      [Classical Decomposition] [] [2010-12-19 15:16:53] [39e83c7b0ac936e906a817a1bb402750]
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Dataseries X:
47.54
45.31
46.9
47.16
48.24
52.7
51.72
51.5
52.45
53
48.36
46.63
45.92
45.53
42.17
43.66
45.32
47.43
47.76
49.49
50.69
49.8
52.13
53.94
60.75
59.19
57.58
59.16
64.74
67.04
75.53
78.91
78.4
70.07
66.8
61.02
52.38
42.37
39.83
38.79
37.33
39.4
39.45
43.24
42.33
45.5
43.44
43.88
45.61
45.12
47.56
47.04
51.07
54.72
55.37
55.39
53.13
53.71
54.59
54.61




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102401&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102401&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' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
147.54NANA0.766981818181818NA
245.31NANA-0.420836363636364NA
346.946.463345454545547.03-0.5666545454545440.436654545454537
447.1648.085163636363648.0620.0231636363636357-0.92516363636365
548.2449.541345454545549.3440.197345454545454-1.30134545454546
652.751.030981818181850.2640.7669818181818181.66901818181817
751.7250.901163636363651.322-0.4208363636363640.81883636363635
851.551.707345454545552.274-0.566654545454544-0.207345454545461
952.4551.429163636363651.4060.02316363636363571.02083636363636
105350.585345454545550.3880.1973454545454542.41465454545454
1148.3650.038981818181849.2720.766981818181818-1.67898181818182
1246.6347.467163636363647.888-0.420836363636364-0.837163636363634
1345.9245.155345454545445.722-0.5666545454545440.764654545454555
1445.5344.805163636363644.7820.02316363636363570.724836363636364
1542.1744.717345454545544.520.197345454545454-2.54734545454545
1643.6645.588981818181844.8220.766981818181818-1.92898181818182
1745.3244.847163636363645.268-0.4208363636363640.472836363636361
1847.4346.165345454545546.732-0.5666545454545441.26465454545455
1947.7648.161163636363648.1380.0231636363636357-0.401163636363634
2049.4949.231345454545549.0340.1973454545454540.25865454545454
2150.6950.740981818181849.9740.766981818181818-0.0509818181818247
2249.850.789163636363651.21-0.420836363636364-0.98916363636365
2352.1352.895345454545553.462-0.566654545454544-0.765345454545454
2453.9455.185163636363655.1620.0231636363636357-1.24516363636364
2560.7556.915345454545556.7180.1973454545454543.83465454545454
2659.1958.890981818181858.1240.7669818181818180.299018181818184
2757.5859.863163636363660.284-0.420836363636364-2.28316363636364
2859.1660.975345454545561.542-0.566654545454544-1.81534545454546
2964.7464.833163636363664.810.0231636363636357-0.0931636363636414
3067.0469.273345454545569.0760.197345454545454-2.23334545454546
3175.5373.690981818181872.9240.7669818181818181.83901818181818
3278.9173.569163636363673.99-0.4208363636363645.34083636363636
3378.473.375345454545573.942-0.5666545454545445.02465454545454
3470.0771.063163636363671.040.0231636363636357-0.993163636363647
3566.865.931345454545565.7340.1973454545454540.868654545454532
3661.0259.294981818181858.5280.7669818181818181.72501818181818
3752.3852.059163636363652.48-0.4208363636363640.32083636363636
3842.3746.311345454545546.878-0.566654545454544-3.94134545454546
3939.8342.163163636363642.140.0231636363636357-2.33316363636364
4038.7939.741345454545539.5440.197345454545454-0.951345454545454
4137.3339.726981818181838.960.766981818181818-2.39698181818182
4239.439.221163636363639.642-0.4208363636363640.178836363636357
4339.4539.783345454545540.35-0.566654545454544-0.333345454545452
4443.2442.007163636363641.9840.02316363636363571.23283636363637
4542.3342.989345454545542.7920.197345454545454-0.659345454545459
4645.544.444981818181843.6780.7669818181818181.05501818181818
4743.4443.731163636363644.152-0.420836363636364-0.291163636363649
4843.8844.143345454545544.71-0.566654545454544-0.263345454545458
4945.6145.145163636363645.1220.02316363636363570.464836363636358
5045.1246.039345454545545.8420.197345454545454-0.919345454545464
5147.5648.046981818181847.280.766981818181818-0.486981818181818
5247.0448.681163636363649.102-0.420836363636364-1.64116363636364
5351.0750.585345454545551.152-0.5666545454545440.484654545454546
5454.7252.741163636363652.7180.02316363636363571.97883636363636
5555.3754.133345454545553.9360.1973454545454541.23665454545454
5655.3955.230981818181854.4640.7669818181818180.159018181818176
5753.1354.017163636363654.438-0.420836363636364-0.887163636363638
5853.7153.719345454545554.286-0.566654545454544-0.00934545454546765
5954.59NANA0.0231636363636357NA
6054.61NANA0.197345454545454NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 47.54 & NA & NA & 0.766981818181818 & NA \tabularnewline
2 & 45.31 & NA & NA & -0.420836363636364 & NA \tabularnewline
3 & 46.9 & 46.4633454545455 & 47.03 & -0.566654545454544 & 0.436654545454537 \tabularnewline
4 & 47.16 & 48.0851636363636 & 48.062 & 0.0231636363636357 & -0.92516363636365 \tabularnewline
5 & 48.24 & 49.5413454545455 & 49.344 & 0.197345454545454 & -1.30134545454546 \tabularnewline
6 & 52.7 & 51.0309818181818 & 50.264 & 0.766981818181818 & 1.66901818181817 \tabularnewline
7 & 51.72 & 50.9011636363636 & 51.322 & -0.420836363636364 & 0.81883636363635 \tabularnewline
8 & 51.5 & 51.7073454545455 & 52.274 & -0.566654545454544 & -0.207345454545461 \tabularnewline
9 & 52.45 & 51.4291636363636 & 51.406 & 0.0231636363636357 & 1.02083636363636 \tabularnewline
10 & 53 & 50.5853454545455 & 50.388 & 0.197345454545454 & 2.41465454545454 \tabularnewline
11 & 48.36 & 50.0389818181818 & 49.272 & 0.766981818181818 & -1.67898181818182 \tabularnewline
12 & 46.63 & 47.4671636363636 & 47.888 & -0.420836363636364 & -0.837163636363634 \tabularnewline
13 & 45.92 & 45.1553454545454 & 45.722 & -0.566654545454544 & 0.764654545454555 \tabularnewline
14 & 45.53 & 44.8051636363636 & 44.782 & 0.0231636363636357 & 0.724836363636364 \tabularnewline
15 & 42.17 & 44.7173454545455 & 44.52 & 0.197345454545454 & -2.54734545454545 \tabularnewline
16 & 43.66 & 45.5889818181818 & 44.822 & 0.766981818181818 & -1.92898181818182 \tabularnewline
17 & 45.32 & 44.8471636363636 & 45.268 & -0.420836363636364 & 0.472836363636361 \tabularnewline
18 & 47.43 & 46.1653454545455 & 46.732 & -0.566654545454544 & 1.26465454545455 \tabularnewline
19 & 47.76 & 48.1611636363636 & 48.138 & 0.0231636363636357 & -0.401163636363634 \tabularnewline
20 & 49.49 & 49.2313454545455 & 49.034 & 0.197345454545454 & 0.25865454545454 \tabularnewline
21 & 50.69 & 50.7409818181818 & 49.974 & 0.766981818181818 & -0.0509818181818247 \tabularnewline
22 & 49.8 & 50.7891636363636 & 51.21 & -0.420836363636364 & -0.98916363636365 \tabularnewline
23 & 52.13 & 52.8953454545455 & 53.462 & -0.566654545454544 & -0.765345454545454 \tabularnewline
24 & 53.94 & 55.1851636363636 & 55.162 & 0.0231636363636357 & -1.24516363636364 \tabularnewline
25 & 60.75 & 56.9153454545455 & 56.718 & 0.197345454545454 & 3.83465454545454 \tabularnewline
26 & 59.19 & 58.8909818181818 & 58.124 & 0.766981818181818 & 0.299018181818184 \tabularnewline
27 & 57.58 & 59.8631636363636 & 60.284 & -0.420836363636364 & -2.28316363636364 \tabularnewline
28 & 59.16 & 60.9753454545455 & 61.542 & -0.566654545454544 & -1.81534545454546 \tabularnewline
29 & 64.74 & 64.8331636363636 & 64.81 & 0.0231636363636357 & -0.0931636363636414 \tabularnewline
30 & 67.04 & 69.2733454545455 & 69.076 & 0.197345454545454 & -2.23334545454546 \tabularnewline
31 & 75.53 & 73.6909818181818 & 72.924 & 0.766981818181818 & 1.83901818181818 \tabularnewline
32 & 78.91 & 73.5691636363636 & 73.99 & -0.420836363636364 & 5.34083636363636 \tabularnewline
33 & 78.4 & 73.3753454545455 & 73.942 & -0.566654545454544 & 5.02465454545454 \tabularnewline
34 & 70.07 & 71.0631636363636 & 71.04 & 0.0231636363636357 & -0.993163636363647 \tabularnewline
35 & 66.8 & 65.9313454545455 & 65.734 & 0.197345454545454 & 0.868654545454532 \tabularnewline
36 & 61.02 & 59.2949818181818 & 58.528 & 0.766981818181818 & 1.72501818181818 \tabularnewline
37 & 52.38 & 52.0591636363636 & 52.48 & -0.420836363636364 & 0.32083636363636 \tabularnewline
38 & 42.37 & 46.3113454545455 & 46.878 & -0.566654545454544 & -3.94134545454546 \tabularnewline
39 & 39.83 & 42.1631636363636 & 42.14 & 0.0231636363636357 & -2.33316363636364 \tabularnewline
40 & 38.79 & 39.7413454545455 & 39.544 & 0.197345454545454 & -0.951345454545454 \tabularnewline
41 & 37.33 & 39.7269818181818 & 38.96 & 0.766981818181818 & -2.39698181818182 \tabularnewline
42 & 39.4 & 39.2211636363636 & 39.642 & -0.420836363636364 & 0.178836363636357 \tabularnewline
43 & 39.45 & 39.7833454545455 & 40.35 & -0.566654545454544 & -0.333345454545452 \tabularnewline
44 & 43.24 & 42.0071636363636 & 41.984 & 0.0231636363636357 & 1.23283636363637 \tabularnewline
45 & 42.33 & 42.9893454545455 & 42.792 & 0.197345454545454 & -0.659345454545459 \tabularnewline
46 & 45.5 & 44.4449818181818 & 43.678 & 0.766981818181818 & 1.05501818181818 \tabularnewline
47 & 43.44 & 43.7311636363636 & 44.152 & -0.420836363636364 & -0.291163636363649 \tabularnewline
48 & 43.88 & 44.1433454545455 & 44.71 & -0.566654545454544 & -0.263345454545458 \tabularnewline
49 & 45.61 & 45.1451636363636 & 45.122 & 0.0231636363636357 & 0.464836363636358 \tabularnewline
50 & 45.12 & 46.0393454545455 & 45.842 & 0.197345454545454 & -0.919345454545464 \tabularnewline
51 & 47.56 & 48.0469818181818 & 47.28 & 0.766981818181818 & -0.486981818181818 \tabularnewline
52 & 47.04 & 48.6811636363636 & 49.102 & -0.420836363636364 & -1.64116363636364 \tabularnewline
53 & 51.07 & 50.5853454545455 & 51.152 & -0.566654545454544 & 0.484654545454546 \tabularnewline
54 & 54.72 & 52.7411636363636 & 52.718 & 0.0231636363636357 & 1.97883636363636 \tabularnewline
55 & 55.37 & 54.1333454545455 & 53.936 & 0.197345454545454 & 1.23665454545454 \tabularnewline
56 & 55.39 & 55.2309818181818 & 54.464 & 0.766981818181818 & 0.159018181818176 \tabularnewline
57 & 53.13 & 54.0171636363636 & 54.438 & -0.420836363636364 & -0.887163636363638 \tabularnewline
58 & 53.71 & 53.7193454545455 & 54.286 & -0.566654545454544 & -0.00934545454546765 \tabularnewline
59 & 54.59 & NA & NA & 0.0231636363636357 & NA \tabularnewline
60 & 54.61 & NA & NA & 0.197345454545454 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102401&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]47.54[/C][C]NA[/C][C]NA[/C][C]0.766981818181818[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]45.31[/C][C]NA[/C][C]NA[/C][C]-0.420836363636364[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]46.9[/C][C]46.4633454545455[/C][C]47.03[/C][C]-0.566654545454544[/C][C]0.436654545454537[/C][/ROW]
[ROW][C]4[/C][C]47.16[/C][C]48.0851636363636[/C][C]48.062[/C][C]0.0231636363636357[/C][C]-0.92516363636365[/C][/ROW]
[ROW][C]5[/C][C]48.24[/C][C]49.5413454545455[/C][C]49.344[/C][C]0.197345454545454[/C][C]-1.30134545454546[/C][/ROW]
[ROW][C]6[/C][C]52.7[/C][C]51.0309818181818[/C][C]50.264[/C][C]0.766981818181818[/C][C]1.66901818181817[/C][/ROW]
[ROW][C]7[/C][C]51.72[/C][C]50.9011636363636[/C][C]51.322[/C][C]-0.420836363636364[/C][C]0.81883636363635[/C][/ROW]
[ROW][C]8[/C][C]51.5[/C][C]51.7073454545455[/C][C]52.274[/C][C]-0.566654545454544[/C][C]-0.207345454545461[/C][/ROW]
[ROW][C]9[/C][C]52.45[/C][C]51.4291636363636[/C][C]51.406[/C][C]0.0231636363636357[/C][C]1.02083636363636[/C][/ROW]
[ROW][C]10[/C][C]53[/C][C]50.5853454545455[/C][C]50.388[/C][C]0.197345454545454[/C][C]2.41465454545454[/C][/ROW]
[ROW][C]11[/C][C]48.36[/C][C]50.0389818181818[/C][C]49.272[/C][C]0.766981818181818[/C][C]-1.67898181818182[/C][/ROW]
[ROW][C]12[/C][C]46.63[/C][C]47.4671636363636[/C][C]47.888[/C][C]-0.420836363636364[/C][C]-0.837163636363634[/C][/ROW]
[ROW][C]13[/C][C]45.92[/C][C]45.1553454545454[/C][C]45.722[/C][C]-0.566654545454544[/C][C]0.764654545454555[/C][/ROW]
[ROW][C]14[/C][C]45.53[/C][C]44.8051636363636[/C][C]44.782[/C][C]0.0231636363636357[/C][C]0.724836363636364[/C][/ROW]
[ROW][C]15[/C][C]42.17[/C][C]44.7173454545455[/C][C]44.52[/C][C]0.197345454545454[/C][C]-2.54734545454545[/C][/ROW]
[ROW][C]16[/C][C]43.66[/C][C]45.5889818181818[/C][C]44.822[/C][C]0.766981818181818[/C][C]-1.92898181818182[/C][/ROW]
[ROW][C]17[/C][C]45.32[/C][C]44.8471636363636[/C][C]45.268[/C][C]-0.420836363636364[/C][C]0.472836363636361[/C][/ROW]
[ROW][C]18[/C][C]47.43[/C][C]46.1653454545455[/C][C]46.732[/C][C]-0.566654545454544[/C][C]1.26465454545455[/C][/ROW]
[ROW][C]19[/C][C]47.76[/C][C]48.1611636363636[/C][C]48.138[/C][C]0.0231636363636357[/C][C]-0.401163636363634[/C][/ROW]
[ROW][C]20[/C][C]49.49[/C][C]49.2313454545455[/C][C]49.034[/C][C]0.197345454545454[/C][C]0.25865454545454[/C][/ROW]
[ROW][C]21[/C][C]50.69[/C][C]50.7409818181818[/C][C]49.974[/C][C]0.766981818181818[/C][C]-0.0509818181818247[/C][/ROW]
[ROW][C]22[/C][C]49.8[/C][C]50.7891636363636[/C][C]51.21[/C][C]-0.420836363636364[/C][C]-0.98916363636365[/C][/ROW]
[ROW][C]23[/C][C]52.13[/C][C]52.8953454545455[/C][C]53.462[/C][C]-0.566654545454544[/C][C]-0.765345454545454[/C][/ROW]
[ROW][C]24[/C][C]53.94[/C][C]55.1851636363636[/C][C]55.162[/C][C]0.0231636363636357[/C][C]-1.24516363636364[/C][/ROW]
[ROW][C]25[/C][C]60.75[/C][C]56.9153454545455[/C][C]56.718[/C][C]0.197345454545454[/C][C]3.83465454545454[/C][/ROW]
[ROW][C]26[/C][C]59.19[/C][C]58.8909818181818[/C][C]58.124[/C][C]0.766981818181818[/C][C]0.299018181818184[/C][/ROW]
[ROW][C]27[/C][C]57.58[/C][C]59.8631636363636[/C][C]60.284[/C][C]-0.420836363636364[/C][C]-2.28316363636364[/C][/ROW]
[ROW][C]28[/C][C]59.16[/C][C]60.9753454545455[/C][C]61.542[/C][C]-0.566654545454544[/C][C]-1.81534545454546[/C][/ROW]
[ROW][C]29[/C][C]64.74[/C][C]64.8331636363636[/C][C]64.81[/C][C]0.0231636363636357[/C][C]-0.0931636363636414[/C][/ROW]
[ROW][C]30[/C][C]67.04[/C][C]69.2733454545455[/C][C]69.076[/C][C]0.197345454545454[/C][C]-2.23334545454546[/C][/ROW]
[ROW][C]31[/C][C]75.53[/C][C]73.6909818181818[/C][C]72.924[/C][C]0.766981818181818[/C][C]1.83901818181818[/C][/ROW]
[ROW][C]32[/C][C]78.91[/C][C]73.5691636363636[/C][C]73.99[/C][C]-0.420836363636364[/C][C]5.34083636363636[/C][/ROW]
[ROW][C]33[/C][C]78.4[/C][C]73.3753454545455[/C][C]73.942[/C][C]-0.566654545454544[/C][C]5.02465454545454[/C][/ROW]
[ROW][C]34[/C][C]70.07[/C][C]71.0631636363636[/C][C]71.04[/C][C]0.0231636363636357[/C][C]-0.993163636363647[/C][/ROW]
[ROW][C]35[/C][C]66.8[/C][C]65.9313454545455[/C][C]65.734[/C][C]0.197345454545454[/C][C]0.868654545454532[/C][/ROW]
[ROW][C]36[/C][C]61.02[/C][C]59.2949818181818[/C][C]58.528[/C][C]0.766981818181818[/C][C]1.72501818181818[/C][/ROW]
[ROW][C]37[/C][C]52.38[/C][C]52.0591636363636[/C][C]52.48[/C][C]-0.420836363636364[/C][C]0.32083636363636[/C][/ROW]
[ROW][C]38[/C][C]42.37[/C][C]46.3113454545455[/C][C]46.878[/C][C]-0.566654545454544[/C][C]-3.94134545454546[/C][/ROW]
[ROW][C]39[/C][C]39.83[/C][C]42.1631636363636[/C][C]42.14[/C][C]0.0231636363636357[/C][C]-2.33316363636364[/C][/ROW]
[ROW][C]40[/C][C]38.79[/C][C]39.7413454545455[/C][C]39.544[/C][C]0.197345454545454[/C][C]-0.951345454545454[/C][/ROW]
[ROW][C]41[/C][C]37.33[/C][C]39.7269818181818[/C][C]38.96[/C][C]0.766981818181818[/C][C]-2.39698181818182[/C][/ROW]
[ROW][C]42[/C][C]39.4[/C][C]39.2211636363636[/C][C]39.642[/C][C]-0.420836363636364[/C][C]0.178836363636357[/C][/ROW]
[ROW][C]43[/C][C]39.45[/C][C]39.7833454545455[/C][C]40.35[/C][C]-0.566654545454544[/C][C]-0.333345454545452[/C][/ROW]
[ROW][C]44[/C][C]43.24[/C][C]42.0071636363636[/C][C]41.984[/C][C]0.0231636363636357[/C][C]1.23283636363637[/C][/ROW]
[ROW][C]45[/C][C]42.33[/C][C]42.9893454545455[/C][C]42.792[/C][C]0.197345454545454[/C][C]-0.659345454545459[/C][/ROW]
[ROW][C]46[/C][C]45.5[/C][C]44.4449818181818[/C][C]43.678[/C][C]0.766981818181818[/C][C]1.05501818181818[/C][/ROW]
[ROW][C]47[/C][C]43.44[/C][C]43.7311636363636[/C][C]44.152[/C][C]-0.420836363636364[/C][C]-0.291163636363649[/C][/ROW]
[ROW][C]48[/C][C]43.88[/C][C]44.1433454545455[/C][C]44.71[/C][C]-0.566654545454544[/C][C]-0.263345454545458[/C][/ROW]
[ROW][C]49[/C][C]45.61[/C][C]45.1451636363636[/C][C]45.122[/C][C]0.0231636363636357[/C][C]0.464836363636358[/C][/ROW]
[ROW][C]50[/C][C]45.12[/C][C]46.0393454545455[/C][C]45.842[/C][C]0.197345454545454[/C][C]-0.919345454545464[/C][/ROW]
[ROW][C]51[/C][C]47.56[/C][C]48.0469818181818[/C][C]47.28[/C][C]0.766981818181818[/C][C]-0.486981818181818[/C][/ROW]
[ROW][C]52[/C][C]47.04[/C][C]48.6811636363636[/C][C]49.102[/C][C]-0.420836363636364[/C][C]-1.64116363636364[/C][/ROW]
[ROW][C]53[/C][C]51.07[/C][C]50.5853454545455[/C][C]51.152[/C][C]-0.566654545454544[/C][C]0.484654545454546[/C][/ROW]
[ROW][C]54[/C][C]54.72[/C][C]52.7411636363636[/C][C]52.718[/C][C]0.0231636363636357[/C][C]1.97883636363636[/C][/ROW]
[ROW][C]55[/C][C]55.37[/C][C]54.1333454545455[/C][C]53.936[/C][C]0.197345454545454[/C][C]1.23665454545454[/C][/ROW]
[ROW][C]56[/C][C]55.39[/C][C]55.2309818181818[/C][C]54.464[/C][C]0.766981818181818[/C][C]0.159018181818176[/C][/ROW]
[ROW][C]57[/C][C]53.13[/C][C]54.0171636363636[/C][C]54.438[/C][C]-0.420836363636364[/C][C]-0.887163636363638[/C][/ROW]
[ROW][C]58[/C][C]53.71[/C][C]53.7193454545455[/C][C]54.286[/C][C]-0.566654545454544[/C][C]-0.00934545454546765[/C][/ROW]
[ROW][C]59[/C][C]54.59[/C][C]NA[/C][C]NA[/C][C]0.0231636363636357[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]54.61[/C][C]NA[/C][C]NA[/C][C]0.197345454545454[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102401&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
147.54NANA0.766981818181818NA
245.31NANA-0.420836363636364NA
346.946.463345454545547.03-0.5666545454545440.436654545454537
447.1648.085163636363648.0620.0231636363636357-0.92516363636365
548.2449.541345454545549.3440.197345454545454-1.30134545454546
652.751.030981818181850.2640.7669818181818181.66901818181817
751.7250.901163636363651.322-0.4208363636363640.81883636363635
851.551.707345454545552.274-0.566654545454544-0.207345454545461
952.4551.429163636363651.4060.02316363636363571.02083636363636
105350.585345454545550.3880.1973454545454542.41465454545454
1148.3650.038981818181849.2720.766981818181818-1.67898181818182
1246.6347.467163636363647.888-0.420836363636364-0.837163636363634
1345.9245.155345454545445.722-0.5666545454545440.764654545454555
1445.5344.805163636363644.7820.02316363636363570.724836363636364
1542.1744.717345454545544.520.197345454545454-2.54734545454545
1643.6645.588981818181844.8220.766981818181818-1.92898181818182
1745.3244.847163636363645.268-0.4208363636363640.472836363636361
1847.4346.165345454545546.732-0.5666545454545441.26465454545455
1947.7648.161163636363648.1380.0231636363636357-0.401163636363634
2049.4949.231345454545549.0340.1973454545454540.25865454545454
2150.6950.740981818181849.9740.766981818181818-0.0509818181818247
2249.850.789163636363651.21-0.420836363636364-0.98916363636365
2352.1352.895345454545553.462-0.566654545454544-0.765345454545454
2453.9455.185163636363655.1620.0231636363636357-1.24516363636364
2560.7556.915345454545556.7180.1973454545454543.83465454545454
2659.1958.890981818181858.1240.7669818181818180.299018181818184
2757.5859.863163636363660.284-0.420836363636364-2.28316363636364
2859.1660.975345454545561.542-0.566654545454544-1.81534545454546
2964.7464.833163636363664.810.0231636363636357-0.0931636363636414
3067.0469.273345454545569.0760.197345454545454-2.23334545454546
3175.5373.690981818181872.9240.7669818181818181.83901818181818
3278.9173.569163636363673.99-0.4208363636363645.34083636363636
3378.473.375345454545573.942-0.5666545454545445.02465454545454
3470.0771.063163636363671.040.0231636363636357-0.993163636363647
3566.865.931345454545565.7340.1973454545454540.868654545454532
3661.0259.294981818181858.5280.7669818181818181.72501818181818
3752.3852.059163636363652.48-0.4208363636363640.32083636363636
3842.3746.311345454545546.878-0.566654545454544-3.94134545454546
3939.8342.163163636363642.140.0231636363636357-2.33316363636364
4038.7939.741345454545539.5440.197345454545454-0.951345454545454
4137.3339.726981818181838.960.766981818181818-2.39698181818182
4239.439.221163636363639.642-0.4208363636363640.178836363636357
4339.4539.783345454545540.35-0.566654545454544-0.333345454545452
4443.2442.007163636363641.9840.02316363636363571.23283636363637
4542.3342.989345454545542.7920.197345454545454-0.659345454545459
4645.544.444981818181843.6780.7669818181818181.05501818181818
4743.4443.731163636363644.152-0.420836363636364-0.291163636363649
4843.8844.143345454545544.71-0.566654545454544-0.263345454545458
4945.6145.145163636363645.1220.02316363636363570.464836363636358
5045.1246.039345454545545.8420.197345454545454-0.919345454545464
5147.5648.046981818181847.280.766981818181818-0.486981818181818
5247.0448.681163636363649.102-0.420836363636364-1.64116363636364
5351.0750.585345454545551.152-0.5666545454545440.484654545454546
5454.7252.741163636363652.7180.02316363636363571.97883636363636
5555.3754.133345454545553.9360.1973454545454541.23665454545454
5655.3955.230981818181854.4640.7669818181818180.159018181818176
5753.1354.017163636363654.438-0.420836363636364-0.887163636363638
5853.7153.719345454545554.286-0.566654545454544-0.00934545454546765
5954.59NANA0.0231636363636357NA
6054.61NANA0.197345454545454NA



Parameters (Session):
par1 = additive ; par2 = 5 ;
Parameters (R input):
par1 = additive ; par2 = 5 ;
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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')