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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 12 Jan 2014 23:54:40 -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/2014/Jan/12/t1389589006tx5ty8zkmdklb6v.htm/, Retrieved Sun, 19 May 2024 04:41:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233103, Retrieved Sun, 19 May 2024 04:41:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKarel De Grote-Hogeschool Valérie Weyts
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2014-01-13 04:54:40] [feb2df3f24188fb89c42f3077ec68a56] [Current]
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Dataseries X:
100.17
101.13
99.25
99.69
101.04
99.79
100.35
101.45
100.4
100.52
102.52
101.23
102.14
101.06
100.31
101.18
101.28
101.99
101.34
100.5
103.74
104.19
102.23
103.32
104.67
103.22
102.64
105.26
103.63
102.71
104.34
102.92
105.92
107.39
105.68
105.86
107.05
106.77
105.88
106.23
107.53
105.51
107.37
105.61
108.38
109.6
106.62
105.69
107.06
105.67
106.24
107.9
105.91
106.44
107.69
105.9
108.59
111.36
109.36
109.21
111.3
109.21
110.95
110.89
111.04
108.96
110.5
109.02
112.87
112.73
113.28
113.53
112.99
112.68
114.26
114.28
114.28
114.2
113.64
114.2
116.68
116.73
118.71
117.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233103&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233103&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233103&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1100.17NANA0.862876NA
2101.13NANA-0.417957NA
399.25NANA-0.341221NA
499.69NANA0.343154NA
5101.04NANA-0.226846NA
699.79NANA-1.09768NA
7100.35100.44100.71-0.270249-0.0901678
8101.4599.3184100.79-1.471152.13157
9100.4101.592100.8310.761071-1.1919
10100.52102.474100.9371.53718-1.95427
11102.52101.336101.0090.3272511.18358
12101.23101.104101.111-0.00642940.125596
13102.14102.107101.2440.8628760.0333738
14101.06100.827101.245-0.4179570.232541
15100.31101.004101.345-0.341221-0.693779
16101.18101.98101.6370.343154-0.800237
17101.28101.551101.778-0.226846-0.271071
18101.99100.755101.853-1.097681.23476
19101.34101.775102.045-0.270249-0.435168
20100.5100.77102.241-1.47115-0.269682
21103.74103.189102.4280.7610710.551013
22104.19104.232102.6951.53718-0.0421817
23102.23103.29102.9630.327251-1.06017
24103.32103.084103.091-0.00642940.235596
25104.67104.109103.2460.8628760.561291
26103.22103.054103.472-0.4179570.166291
27102.64103.322103.663-0.341221-0.682112
28105.26104.231103.8870.3431541.02935
29103.63103.938104.165-0.226846-0.307737
30102.71103.316104.414-1.09768-0.606487
31104.34104.349104.619-0.270249-0.00891782
32102.92103.395104.866-1.47115-0.475098
33105.92105.91105.1490.7610710.00976273
34107.39106.862105.3251.537180.528235
35105.68105.855105.5270.327251-0.174751
36105.86105.8105.807-0.00642940.0597627
37107.05106.912106.050.8628760.137541
38106.77105.87106.288-0.4179570.900041
39105.88106.161106.502-0.341221-0.281279
40106.23107.04106.6970.343154-0.810237
41107.53106.601106.828-0.2268460.928513
42105.51105.763106.86-1.09768-0.252737
43107.37106.584106.854-0.2702490.786499
44105.61105.337106.808-1.471150.272818
45108.38107.539106.7780.7610710.841429
46109.6108.399106.8621.537181.20073
47106.62107.191106.8640.327251-0.571418
48105.69106.829106.835-0.0064294-1.13899
49107.06107.75106.8870.862876-0.690376
50105.67106.495106.913-0.417957-0.824959
51106.24106.593106.934-0.341221-0.352529
52107.9107.359107.0160.3431540.541013
53105.91106.976107.203-0.226846-1.06649
54106.44106.366107.464-1.097680.0735127
55107.69107.517107.788-0.2702490.172749
56105.9106.641108.112-1.47115-0.740515
57108.59109.216108.4550.761071-0.626487
58111.36110.313108.7761.537181.04657
59109.36109.442109.1150.327251-0.0818345
60109.21109.427109.433-0.0064294-0.216904
61111.3110.518109.6550.8628760.781707
62109.21109.485109.902-0.417957-0.274543
63110.95109.87110.211-0.3412211.08039
64110.89110.789110.4460.3431540.100596
65111.04110.44110.667-0.2268460.600179
66108.96109.912111.01-1.09768-0.952321
67110.5110.99111.26-0.270249-0.490168
68109.02110.004111.475-1.47115-0.984265
69112.87112.519111.7580.7610710.351013
70112.73113.574112.0371.53718-0.844265
71113.28112.641112.3130.3272510.639416
72113.53112.66112.667-0.00642940.869763
73112.99113.879113.0160.862876-0.888709
74112.68112.945113.362-0.417957-0.264543
75114.26113.396113.737-0.3412210.864138
76114.28114.406114.0620.343154-0.125654
77114.28114.229114.455-0.2268460.0514294
78114.2113.762114.86-1.097680.438096
79113.64NANA-0.270249NA
80114.2NANA-1.47115NA
81116.68NANA0.761071NA
82116.73NANA1.53718NA
83118.71NANA0.327251NA
84117.8NANA-0.0064294NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 100.17 & NA & NA & 0.862876 & NA \tabularnewline
2 & 101.13 & NA & NA & -0.417957 & NA \tabularnewline
3 & 99.25 & NA & NA & -0.341221 & NA \tabularnewline
4 & 99.69 & NA & NA & 0.343154 & NA \tabularnewline
5 & 101.04 & NA & NA & -0.226846 & NA \tabularnewline
6 & 99.79 & NA & NA & -1.09768 & NA \tabularnewline
7 & 100.35 & 100.44 & 100.71 & -0.270249 & -0.0901678 \tabularnewline
8 & 101.45 & 99.3184 & 100.79 & -1.47115 & 2.13157 \tabularnewline
9 & 100.4 & 101.592 & 100.831 & 0.761071 & -1.1919 \tabularnewline
10 & 100.52 & 102.474 & 100.937 & 1.53718 & -1.95427 \tabularnewline
11 & 102.52 & 101.336 & 101.009 & 0.327251 & 1.18358 \tabularnewline
12 & 101.23 & 101.104 & 101.111 & -0.0064294 & 0.125596 \tabularnewline
13 & 102.14 & 102.107 & 101.244 & 0.862876 & 0.0333738 \tabularnewline
14 & 101.06 & 100.827 & 101.245 & -0.417957 & 0.232541 \tabularnewline
15 & 100.31 & 101.004 & 101.345 & -0.341221 & -0.693779 \tabularnewline
16 & 101.18 & 101.98 & 101.637 & 0.343154 & -0.800237 \tabularnewline
17 & 101.28 & 101.551 & 101.778 & -0.226846 & -0.271071 \tabularnewline
18 & 101.99 & 100.755 & 101.853 & -1.09768 & 1.23476 \tabularnewline
19 & 101.34 & 101.775 & 102.045 & -0.270249 & -0.435168 \tabularnewline
20 & 100.5 & 100.77 & 102.241 & -1.47115 & -0.269682 \tabularnewline
21 & 103.74 & 103.189 & 102.428 & 0.761071 & 0.551013 \tabularnewline
22 & 104.19 & 104.232 & 102.695 & 1.53718 & -0.0421817 \tabularnewline
23 & 102.23 & 103.29 & 102.963 & 0.327251 & -1.06017 \tabularnewline
24 & 103.32 & 103.084 & 103.091 & -0.0064294 & 0.235596 \tabularnewline
25 & 104.67 & 104.109 & 103.246 & 0.862876 & 0.561291 \tabularnewline
26 & 103.22 & 103.054 & 103.472 & -0.417957 & 0.166291 \tabularnewline
27 & 102.64 & 103.322 & 103.663 & -0.341221 & -0.682112 \tabularnewline
28 & 105.26 & 104.231 & 103.887 & 0.343154 & 1.02935 \tabularnewline
29 & 103.63 & 103.938 & 104.165 & -0.226846 & -0.307737 \tabularnewline
30 & 102.71 & 103.316 & 104.414 & -1.09768 & -0.606487 \tabularnewline
31 & 104.34 & 104.349 & 104.619 & -0.270249 & -0.00891782 \tabularnewline
32 & 102.92 & 103.395 & 104.866 & -1.47115 & -0.475098 \tabularnewline
33 & 105.92 & 105.91 & 105.149 & 0.761071 & 0.00976273 \tabularnewline
34 & 107.39 & 106.862 & 105.325 & 1.53718 & 0.528235 \tabularnewline
35 & 105.68 & 105.855 & 105.527 & 0.327251 & -0.174751 \tabularnewline
36 & 105.86 & 105.8 & 105.807 & -0.0064294 & 0.0597627 \tabularnewline
37 & 107.05 & 106.912 & 106.05 & 0.862876 & 0.137541 \tabularnewline
38 & 106.77 & 105.87 & 106.288 & -0.417957 & 0.900041 \tabularnewline
39 & 105.88 & 106.161 & 106.502 & -0.341221 & -0.281279 \tabularnewline
40 & 106.23 & 107.04 & 106.697 & 0.343154 & -0.810237 \tabularnewline
41 & 107.53 & 106.601 & 106.828 & -0.226846 & 0.928513 \tabularnewline
42 & 105.51 & 105.763 & 106.86 & -1.09768 & -0.252737 \tabularnewline
43 & 107.37 & 106.584 & 106.854 & -0.270249 & 0.786499 \tabularnewline
44 & 105.61 & 105.337 & 106.808 & -1.47115 & 0.272818 \tabularnewline
45 & 108.38 & 107.539 & 106.778 & 0.761071 & 0.841429 \tabularnewline
46 & 109.6 & 108.399 & 106.862 & 1.53718 & 1.20073 \tabularnewline
47 & 106.62 & 107.191 & 106.864 & 0.327251 & -0.571418 \tabularnewline
48 & 105.69 & 106.829 & 106.835 & -0.0064294 & -1.13899 \tabularnewline
49 & 107.06 & 107.75 & 106.887 & 0.862876 & -0.690376 \tabularnewline
50 & 105.67 & 106.495 & 106.913 & -0.417957 & -0.824959 \tabularnewline
51 & 106.24 & 106.593 & 106.934 & -0.341221 & -0.352529 \tabularnewline
52 & 107.9 & 107.359 & 107.016 & 0.343154 & 0.541013 \tabularnewline
53 & 105.91 & 106.976 & 107.203 & -0.226846 & -1.06649 \tabularnewline
54 & 106.44 & 106.366 & 107.464 & -1.09768 & 0.0735127 \tabularnewline
55 & 107.69 & 107.517 & 107.788 & -0.270249 & 0.172749 \tabularnewline
56 & 105.9 & 106.641 & 108.112 & -1.47115 & -0.740515 \tabularnewline
57 & 108.59 & 109.216 & 108.455 & 0.761071 & -0.626487 \tabularnewline
58 & 111.36 & 110.313 & 108.776 & 1.53718 & 1.04657 \tabularnewline
59 & 109.36 & 109.442 & 109.115 & 0.327251 & -0.0818345 \tabularnewline
60 & 109.21 & 109.427 & 109.433 & -0.0064294 & -0.216904 \tabularnewline
61 & 111.3 & 110.518 & 109.655 & 0.862876 & 0.781707 \tabularnewline
62 & 109.21 & 109.485 & 109.902 & -0.417957 & -0.274543 \tabularnewline
63 & 110.95 & 109.87 & 110.211 & -0.341221 & 1.08039 \tabularnewline
64 & 110.89 & 110.789 & 110.446 & 0.343154 & 0.100596 \tabularnewline
65 & 111.04 & 110.44 & 110.667 & -0.226846 & 0.600179 \tabularnewline
66 & 108.96 & 109.912 & 111.01 & -1.09768 & -0.952321 \tabularnewline
67 & 110.5 & 110.99 & 111.26 & -0.270249 & -0.490168 \tabularnewline
68 & 109.02 & 110.004 & 111.475 & -1.47115 & -0.984265 \tabularnewline
69 & 112.87 & 112.519 & 111.758 & 0.761071 & 0.351013 \tabularnewline
70 & 112.73 & 113.574 & 112.037 & 1.53718 & -0.844265 \tabularnewline
71 & 113.28 & 112.641 & 112.313 & 0.327251 & 0.639416 \tabularnewline
72 & 113.53 & 112.66 & 112.667 & -0.0064294 & 0.869763 \tabularnewline
73 & 112.99 & 113.879 & 113.016 & 0.862876 & -0.888709 \tabularnewline
74 & 112.68 & 112.945 & 113.362 & -0.417957 & -0.264543 \tabularnewline
75 & 114.26 & 113.396 & 113.737 & -0.341221 & 0.864138 \tabularnewline
76 & 114.28 & 114.406 & 114.062 & 0.343154 & -0.125654 \tabularnewline
77 & 114.28 & 114.229 & 114.455 & -0.226846 & 0.0514294 \tabularnewline
78 & 114.2 & 113.762 & 114.86 & -1.09768 & 0.438096 \tabularnewline
79 & 113.64 & NA & NA & -0.270249 & NA \tabularnewline
80 & 114.2 & NA & NA & -1.47115 & NA \tabularnewline
81 & 116.68 & NA & NA & 0.761071 & NA \tabularnewline
82 & 116.73 & NA & NA & 1.53718 & NA \tabularnewline
83 & 118.71 & NA & NA & 0.327251 & NA \tabularnewline
84 & 117.8 & NA & NA & -0.0064294 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233103&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]100.17[/C][C]NA[/C][C]NA[/C][C]0.862876[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.13[/C][C]NA[/C][C]NA[/C][C]-0.417957[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]99.25[/C][C]NA[/C][C]NA[/C][C]-0.341221[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]99.69[/C][C]NA[/C][C]NA[/C][C]0.343154[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.04[/C][C]NA[/C][C]NA[/C][C]-0.226846[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]99.79[/C][C]NA[/C][C]NA[/C][C]-1.09768[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]100.35[/C][C]100.44[/C][C]100.71[/C][C]-0.270249[/C][C]-0.0901678[/C][/ROW]
[ROW][C]8[/C][C]101.45[/C][C]99.3184[/C][C]100.79[/C][C]-1.47115[/C][C]2.13157[/C][/ROW]
[ROW][C]9[/C][C]100.4[/C][C]101.592[/C][C]100.831[/C][C]0.761071[/C][C]-1.1919[/C][/ROW]
[ROW][C]10[/C][C]100.52[/C][C]102.474[/C][C]100.937[/C][C]1.53718[/C][C]-1.95427[/C][/ROW]
[ROW][C]11[/C][C]102.52[/C][C]101.336[/C][C]101.009[/C][C]0.327251[/C][C]1.18358[/C][/ROW]
[ROW][C]12[/C][C]101.23[/C][C]101.104[/C][C]101.111[/C][C]-0.0064294[/C][C]0.125596[/C][/ROW]
[ROW][C]13[/C][C]102.14[/C][C]102.107[/C][C]101.244[/C][C]0.862876[/C][C]0.0333738[/C][/ROW]
[ROW][C]14[/C][C]101.06[/C][C]100.827[/C][C]101.245[/C][C]-0.417957[/C][C]0.232541[/C][/ROW]
[ROW][C]15[/C][C]100.31[/C][C]101.004[/C][C]101.345[/C][C]-0.341221[/C][C]-0.693779[/C][/ROW]
[ROW][C]16[/C][C]101.18[/C][C]101.98[/C][C]101.637[/C][C]0.343154[/C][C]-0.800237[/C][/ROW]
[ROW][C]17[/C][C]101.28[/C][C]101.551[/C][C]101.778[/C][C]-0.226846[/C][C]-0.271071[/C][/ROW]
[ROW][C]18[/C][C]101.99[/C][C]100.755[/C][C]101.853[/C][C]-1.09768[/C][C]1.23476[/C][/ROW]
[ROW][C]19[/C][C]101.34[/C][C]101.775[/C][C]102.045[/C][C]-0.270249[/C][C]-0.435168[/C][/ROW]
[ROW][C]20[/C][C]100.5[/C][C]100.77[/C][C]102.241[/C][C]-1.47115[/C][C]-0.269682[/C][/ROW]
[ROW][C]21[/C][C]103.74[/C][C]103.189[/C][C]102.428[/C][C]0.761071[/C][C]0.551013[/C][/ROW]
[ROW][C]22[/C][C]104.19[/C][C]104.232[/C][C]102.695[/C][C]1.53718[/C][C]-0.0421817[/C][/ROW]
[ROW][C]23[/C][C]102.23[/C][C]103.29[/C][C]102.963[/C][C]0.327251[/C][C]-1.06017[/C][/ROW]
[ROW][C]24[/C][C]103.32[/C][C]103.084[/C][C]103.091[/C][C]-0.0064294[/C][C]0.235596[/C][/ROW]
[ROW][C]25[/C][C]104.67[/C][C]104.109[/C][C]103.246[/C][C]0.862876[/C][C]0.561291[/C][/ROW]
[ROW][C]26[/C][C]103.22[/C][C]103.054[/C][C]103.472[/C][C]-0.417957[/C][C]0.166291[/C][/ROW]
[ROW][C]27[/C][C]102.64[/C][C]103.322[/C][C]103.663[/C][C]-0.341221[/C][C]-0.682112[/C][/ROW]
[ROW][C]28[/C][C]105.26[/C][C]104.231[/C][C]103.887[/C][C]0.343154[/C][C]1.02935[/C][/ROW]
[ROW][C]29[/C][C]103.63[/C][C]103.938[/C][C]104.165[/C][C]-0.226846[/C][C]-0.307737[/C][/ROW]
[ROW][C]30[/C][C]102.71[/C][C]103.316[/C][C]104.414[/C][C]-1.09768[/C][C]-0.606487[/C][/ROW]
[ROW][C]31[/C][C]104.34[/C][C]104.349[/C][C]104.619[/C][C]-0.270249[/C][C]-0.00891782[/C][/ROW]
[ROW][C]32[/C][C]102.92[/C][C]103.395[/C][C]104.866[/C][C]-1.47115[/C][C]-0.475098[/C][/ROW]
[ROW][C]33[/C][C]105.92[/C][C]105.91[/C][C]105.149[/C][C]0.761071[/C][C]0.00976273[/C][/ROW]
[ROW][C]34[/C][C]107.39[/C][C]106.862[/C][C]105.325[/C][C]1.53718[/C][C]0.528235[/C][/ROW]
[ROW][C]35[/C][C]105.68[/C][C]105.855[/C][C]105.527[/C][C]0.327251[/C][C]-0.174751[/C][/ROW]
[ROW][C]36[/C][C]105.86[/C][C]105.8[/C][C]105.807[/C][C]-0.0064294[/C][C]0.0597627[/C][/ROW]
[ROW][C]37[/C][C]107.05[/C][C]106.912[/C][C]106.05[/C][C]0.862876[/C][C]0.137541[/C][/ROW]
[ROW][C]38[/C][C]106.77[/C][C]105.87[/C][C]106.288[/C][C]-0.417957[/C][C]0.900041[/C][/ROW]
[ROW][C]39[/C][C]105.88[/C][C]106.161[/C][C]106.502[/C][C]-0.341221[/C][C]-0.281279[/C][/ROW]
[ROW][C]40[/C][C]106.23[/C][C]107.04[/C][C]106.697[/C][C]0.343154[/C][C]-0.810237[/C][/ROW]
[ROW][C]41[/C][C]107.53[/C][C]106.601[/C][C]106.828[/C][C]-0.226846[/C][C]0.928513[/C][/ROW]
[ROW][C]42[/C][C]105.51[/C][C]105.763[/C][C]106.86[/C][C]-1.09768[/C][C]-0.252737[/C][/ROW]
[ROW][C]43[/C][C]107.37[/C][C]106.584[/C][C]106.854[/C][C]-0.270249[/C][C]0.786499[/C][/ROW]
[ROW][C]44[/C][C]105.61[/C][C]105.337[/C][C]106.808[/C][C]-1.47115[/C][C]0.272818[/C][/ROW]
[ROW][C]45[/C][C]108.38[/C][C]107.539[/C][C]106.778[/C][C]0.761071[/C][C]0.841429[/C][/ROW]
[ROW][C]46[/C][C]109.6[/C][C]108.399[/C][C]106.862[/C][C]1.53718[/C][C]1.20073[/C][/ROW]
[ROW][C]47[/C][C]106.62[/C][C]107.191[/C][C]106.864[/C][C]0.327251[/C][C]-0.571418[/C][/ROW]
[ROW][C]48[/C][C]105.69[/C][C]106.829[/C][C]106.835[/C][C]-0.0064294[/C][C]-1.13899[/C][/ROW]
[ROW][C]49[/C][C]107.06[/C][C]107.75[/C][C]106.887[/C][C]0.862876[/C][C]-0.690376[/C][/ROW]
[ROW][C]50[/C][C]105.67[/C][C]106.495[/C][C]106.913[/C][C]-0.417957[/C][C]-0.824959[/C][/ROW]
[ROW][C]51[/C][C]106.24[/C][C]106.593[/C][C]106.934[/C][C]-0.341221[/C][C]-0.352529[/C][/ROW]
[ROW][C]52[/C][C]107.9[/C][C]107.359[/C][C]107.016[/C][C]0.343154[/C][C]0.541013[/C][/ROW]
[ROW][C]53[/C][C]105.91[/C][C]106.976[/C][C]107.203[/C][C]-0.226846[/C][C]-1.06649[/C][/ROW]
[ROW][C]54[/C][C]106.44[/C][C]106.366[/C][C]107.464[/C][C]-1.09768[/C][C]0.0735127[/C][/ROW]
[ROW][C]55[/C][C]107.69[/C][C]107.517[/C][C]107.788[/C][C]-0.270249[/C][C]0.172749[/C][/ROW]
[ROW][C]56[/C][C]105.9[/C][C]106.641[/C][C]108.112[/C][C]-1.47115[/C][C]-0.740515[/C][/ROW]
[ROW][C]57[/C][C]108.59[/C][C]109.216[/C][C]108.455[/C][C]0.761071[/C][C]-0.626487[/C][/ROW]
[ROW][C]58[/C][C]111.36[/C][C]110.313[/C][C]108.776[/C][C]1.53718[/C][C]1.04657[/C][/ROW]
[ROW][C]59[/C][C]109.36[/C][C]109.442[/C][C]109.115[/C][C]0.327251[/C][C]-0.0818345[/C][/ROW]
[ROW][C]60[/C][C]109.21[/C][C]109.427[/C][C]109.433[/C][C]-0.0064294[/C][C]-0.216904[/C][/ROW]
[ROW][C]61[/C][C]111.3[/C][C]110.518[/C][C]109.655[/C][C]0.862876[/C][C]0.781707[/C][/ROW]
[ROW][C]62[/C][C]109.21[/C][C]109.485[/C][C]109.902[/C][C]-0.417957[/C][C]-0.274543[/C][/ROW]
[ROW][C]63[/C][C]110.95[/C][C]109.87[/C][C]110.211[/C][C]-0.341221[/C][C]1.08039[/C][/ROW]
[ROW][C]64[/C][C]110.89[/C][C]110.789[/C][C]110.446[/C][C]0.343154[/C][C]0.100596[/C][/ROW]
[ROW][C]65[/C][C]111.04[/C][C]110.44[/C][C]110.667[/C][C]-0.226846[/C][C]0.600179[/C][/ROW]
[ROW][C]66[/C][C]108.96[/C][C]109.912[/C][C]111.01[/C][C]-1.09768[/C][C]-0.952321[/C][/ROW]
[ROW][C]67[/C][C]110.5[/C][C]110.99[/C][C]111.26[/C][C]-0.270249[/C][C]-0.490168[/C][/ROW]
[ROW][C]68[/C][C]109.02[/C][C]110.004[/C][C]111.475[/C][C]-1.47115[/C][C]-0.984265[/C][/ROW]
[ROW][C]69[/C][C]112.87[/C][C]112.519[/C][C]111.758[/C][C]0.761071[/C][C]0.351013[/C][/ROW]
[ROW][C]70[/C][C]112.73[/C][C]113.574[/C][C]112.037[/C][C]1.53718[/C][C]-0.844265[/C][/ROW]
[ROW][C]71[/C][C]113.28[/C][C]112.641[/C][C]112.313[/C][C]0.327251[/C][C]0.639416[/C][/ROW]
[ROW][C]72[/C][C]113.53[/C][C]112.66[/C][C]112.667[/C][C]-0.0064294[/C][C]0.869763[/C][/ROW]
[ROW][C]73[/C][C]112.99[/C][C]113.879[/C][C]113.016[/C][C]0.862876[/C][C]-0.888709[/C][/ROW]
[ROW][C]74[/C][C]112.68[/C][C]112.945[/C][C]113.362[/C][C]-0.417957[/C][C]-0.264543[/C][/ROW]
[ROW][C]75[/C][C]114.26[/C][C]113.396[/C][C]113.737[/C][C]-0.341221[/C][C]0.864138[/C][/ROW]
[ROW][C]76[/C][C]114.28[/C][C]114.406[/C][C]114.062[/C][C]0.343154[/C][C]-0.125654[/C][/ROW]
[ROW][C]77[/C][C]114.28[/C][C]114.229[/C][C]114.455[/C][C]-0.226846[/C][C]0.0514294[/C][/ROW]
[ROW][C]78[/C][C]114.2[/C][C]113.762[/C][C]114.86[/C][C]-1.09768[/C][C]0.438096[/C][/ROW]
[ROW][C]79[/C][C]113.64[/C][C]NA[/C][C]NA[/C][C]-0.270249[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]114.2[/C][C]NA[/C][C]NA[/C][C]-1.47115[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]116.68[/C][C]NA[/C][C]NA[/C][C]0.761071[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]116.73[/C][C]NA[/C][C]NA[/C][C]1.53718[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]118.71[/C][C]NA[/C][C]NA[/C][C]0.327251[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]117.8[/C][C]NA[/C][C]NA[/C][C]-0.0064294[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233103&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233103&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
1100.17NANA0.862876NA
2101.13NANA-0.417957NA
399.25NANA-0.341221NA
499.69NANA0.343154NA
5101.04NANA-0.226846NA
699.79NANA-1.09768NA
7100.35100.44100.71-0.270249-0.0901678
8101.4599.3184100.79-1.471152.13157
9100.4101.592100.8310.761071-1.1919
10100.52102.474100.9371.53718-1.95427
11102.52101.336101.0090.3272511.18358
12101.23101.104101.111-0.00642940.125596
13102.14102.107101.2440.8628760.0333738
14101.06100.827101.245-0.4179570.232541
15100.31101.004101.345-0.341221-0.693779
16101.18101.98101.6370.343154-0.800237
17101.28101.551101.778-0.226846-0.271071
18101.99100.755101.853-1.097681.23476
19101.34101.775102.045-0.270249-0.435168
20100.5100.77102.241-1.47115-0.269682
21103.74103.189102.4280.7610710.551013
22104.19104.232102.6951.53718-0.0421817
23102.23103.29102.9630.327251-1.06017
24103.32103.084103.091-0.00642940.235596
25104.67104.109103.2460.8628760.561291
26103.22103.054103.472-0.4179570.166291
27102.64103.322103.663-0.341221-0.682112
28105.26104.231103.8870.3431541.02935
29103.63103.938104.165-0.226846-0.307737
30102.71103.316104.414-1.09768-0.606487
31104.34104.349104.619-0.270249-0.00891782
32102.92103.395104.866-1.47115-0.475098
33105.92105.91105.1490.7610710.00976273
34107.39106.862105.3251.537180.528235
35105.68105.855105.5270.327251-0.174751
36105.86105.8105.807-0.00642940.0597627
37107.05106.912106.050.8628760.137541
38106.77105.87106.288-0.4179570.900041
39105.88106.161106.502-0.341221-0.281279
40106.23107.04106.6970.343154-0.810237
41107.53106.601106.828-0.2268460.928513
42105.51105.763106.86-1.09768-0.252737
43107.37106.584106.854-0.2702490.786499
44105.61105.337106.808-1.471150.272818
45108.38107.539106.7780.7610710.841429
46109.6108.399106.8621.537181.20073
47106.62107.191106.8640.327251-0.571418
48105.69106.829106.835-0.0064294-1.13899
49107.06107.75106.8870.862876-0.690376
50105.67106.495106.913-0.417957-0.824959
51106.24106.593106.934-0.341221-0.352529
52107.9107.359107.0160.3431540.541013
53105.91106.976107.203-0.226846-1.06649
54106.44106.366107.464-1.097680.0735127
55107.69107.517107.788-0.2702490.172749
56105.9106.641108.112-1.47115-0.740515
57108.59109.216108.4550.761071-0.626487
58111.36110.313108.7761.537181.04657
59109.36109.442109.1150.327251-0.0818345
60109.21109.427109.433-0.0064294-0.216904
61111.3110.518109.6550.8628760.781707
62109.21109.485109.902-0.417957-0.274543
63110.95109.87110.211-0.3412211.08039
64110.89110.789110.4460.3431540.100596
65111.04110.44110.667-0.2268460.600179
66108.96109.912111.01-1.09768-0.952321
67110.5110.99111.26-0.270249-0.490168
68109.02110.004111.475-1.47115-0.984265
69112.87112.519111.7580.7610710.351013
70112.73113.574112.0371.53718-0.844265
71113.28112.641112.3130.3272510.639416
72113.53112.66112.667-0.00642940.869763
73112.99113.879113.0160.862876-0.888709
74112.68112.945113.362-0.417957-0.264543
75114.26113.396113.737-0.3412210.864138
76114.28114.406114.0620.343154-0.125654
77114.28114.229114.455-0.2268460.0514294
78114.2113.762114.86-1.097680.438096
79113.64NANA-0.270249NA
80114.2NANA-1.47115NA
81116.68NANA0.761071NA
82116.73NANA1.53718NA
83118.71NANA0.327251NA
84117.8NANA-0.0064294NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; 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')