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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 06 May 2013 13:27:07 -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/2013/May/06/t13678612933mf86vkod9turzm.htm/, Retrieved Mon, 29 Apr 2024 00:59:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208746, Retrieved Mon, 29 Apr 2024 00:59:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-05-06 17:27:07] [c3f863f9a10611e864186291c75f3c4f] [Current]
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Dataseries X:
108.56
108.71
116.73
118.88
119.6
119.62
119.64
119.74
119.74
119.74
119.9
119.9
119.9
119.9
119.9
121.02
122.95
123.62
123.67
123.81
123.83
123.83
123.83
123.83
123.89
123.89
124.44
125.51
125.89
126.12
126.25
126.25
126.3
126.31
126.38
125.51
126.82
126.86
126.86
127.28
128.72
128.77
128.84
128.88
128.88
128.88
128.88
128.88
128.89
128.9
128.92
129.05
129.83
130.54
130.82
130.91
131.04
131.07
131.15
131.2
131.2
131.42
131.45
131.7
134.24
135.17
135.51
135.65
136.02
136.07
136.13
136.07




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208746&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208746&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 time3 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1108.56NANA0.995984901963863NA
2108.71NANA0.994317815601206NA
3116.73NANA0.993179522729974NA
4118.88NANA0.995852009719428NA
5119.6NANA1.00476881860419NA
6119.62NANA1.00667278695079NA
7119.64118.86128156447118.0358333333331.006993200351331.00655148947816
8119.74119.506967107484118.9745833333331.004474768973631.00194995235974
9119.74119.84214314686119.5729166666671.00225156739250.999147685912669
10119.74119.851328177704119.7941666666671.000477164394790.999071114359793
11119.9119.921811601876120.0229166666670.9991576186648480.999818118142273
12119.9119.832186109028120.3291666666670.9958698246534441.00056590715044
13119.9120.179273214342120.663750.9959849019638630.99767619484731
14119.9120.313698585015121.001250.9943178156012060.996561500561608
15119.9120.513644762458121.341250.9931795227299740.994908088924968
16121.02121.177347234347121.6820833333330.9958520097194280.998701512799727
17122.95122.598123363013122.016251.004768818604191.00287016332171
18123.62123.16012377851122.343751.006672786950791.00373397011452
19123.67123.5316321116122.673751.006993200351331.00112010086838
20123.81123.556674551062123.006251.004474768973631.0020502773311
21123.83123.639423772818123.3616666666671.00225156739251.00154138721588
22123.83123.796959994786123.7379166666671.000477164394791.00026688866363
23123.83123.943004701328124.04750.9991576186648480.999088252688403
24123.83123.760892567286124.2741666666670.9958698246534441.0005583947504
25123.89123.98601050839124.4858333333330.9959849019638630.999225634343778
26123.89123.986460016392124.6950.9943178156012060.999222011690796
27124.44124.047708564173124.8995833333330.9931795227299741.00316242388004
28125.51124.586895552624125.1058333333330.9958520097194281.00740932217054
29125.89125.913023157058125.3154166666671.004768818604190.999817150311532
30126.12126.329045822433125.4916666666671.006672786950790.998345227567646
31126.25126.562681644657125.683751.006993200351330.997529432526288
32126.25126.493089125695125.9295833333331.004474768973630.998078241844078
33126.3126.438211274762126.1541666666671.00225156739250.998906886823465
34126.31126.389029581539126.328751.000477164394790.999374711699263
35126.38126.413838229151126.5204166666670.9991576186648480.999732321796213
36125.51126.225255437543126.748750.9958698246534440.994333499781293
37126.82126.457298046388126.9670833333330.9959849019638631.00286817731531
38126.86126.46189707815127.1845833333330.9943178156012061.00314800687834
39126.86126.532726495003127.4016666666670.9931795227299741.00258647319205
40127.28127.086899035357127.616250.9958520097194281.00151944036804
41128.72128.437086160127127.82751.004768818604191.00220274259041
42128.77128.92668105976128.0720833333331.006672786950790.998784727424361
43128.84129.195968863576128.298751.006993200351330.997244737071079
44128.88129.044873570042128.471.004474768973630.998722354747766
45128.88128.930476839011128.6408333333331.00225156739250.999608495677292
46128.88128.861875639535128.8004166666671.000477164394791.0001406495162
47128.88128.811816513947128.9204166666670.9991576186648481.00052932632967
48128.88128.507457119041129.0404166666670.9958698246534441.00289899815397
49128.89128.677929384058129.1966666666670.9959849019638631.00164807295981
50128.9128.62868131798129.363750.9943178156012061.0021093171386
51128.92128.654820075236129.5383333333330.9931795227299741.00206117364751
52129.05129.181507762467129.7195833333330.9958520097194280.998981992355217
53129.83130.524912034452129.9054166666671.004768818604190.994676019898269
54130.54130.964774006341130.0966666666671.006672786950790.996756578174828
55130.82131.200724493275130.2895833333331.006993200351330.997098152508337
56130.91131.074749665676130.4908333333331.004474768973630.998743086169561
57131.04130.99553267266130.701251.00225156739251.00033945682294
58131.07130.97955230417130.9170833333331.000477164394791.00069054821336
59131.15131.100720092038131.211250.9991576186648481.00037589349568
60131.2131.044435497345131.5879166666670.9958698246534441.00118711261615
61131.2131.446352417808131.976250.9959849019638630.998125832986029
62131.42131.617020652952132.3691666666670.9943178156012060.998503076182893
63131.45131.86858348087132.7741666666670.9931795227299740.996825752807675
64131.7132.637529174531133.190.9958520097194280.992931644758724
65134.24134.242975316962133.6058333333331.004768818604190.999977836330322
66135.17134.910511884193134.016251.006672786950791.00192340917088
67135.51NANA1.00699320035133NA
68135.65NANA1.00447476897363NA
69136.02NANA1.0022515673925NA
70136.07NANA1.00047716439479NA
71136.13NANA0.999157618664848NA
72136.07NANA0.995869824653444NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 108.56 & NA & NA & 0.995984901963863 & NA \tabularnewline
2 & 108.71 & NA & NA & 0.994317815601206 & NA \tabularnewline
3 & 116.73 & NA & NA & 0.993179522729974 & NA \tabularnewline
4 & 118.88 & NA & NA & 0.995852009719428 & NA \tabularnewline
5 & 119.6 & NA & NA & 1.00476881860419 & NA \tabularnewline
6 & 119.62 & NA & NA & 1.00667278695079 & NA \tabularnewline
7 & 119.64 & 118.86128156447 & 118.035833333333 & 1.00699320035133 & 1.00655148947816 \tabularnewline
8 & 119.74 & 119.506967107484 & 118.974583333333 & 1.00447476897363 & 1.00194995235974 \tabularnewline
9 & 119.74 & 119.84214314686 & 119.572916666667 & 1.0022515673925 & 0.999147685912669 \tabularnewline
10 & 119.74 & 119.851328177704 & 119.794166666667 & 1.00047716439479 & 0.999071114359793 \tabularnewline
11 & 119.9 & 119.921811601876 & 120.022916666667 & 0.999157618664848 & 0.999818118142273 \tabularnewline
12 & 119.9 & 119.832186109028 & 120.329166666667 & 0.995869824653444 & 1.00056590715044 \tabularnewline
13 & 119.9 & 120.179273214342 & 120.66375 & 0.995984901963863 & 0.99767619484731 \tabularnewline
14 & 119.9 & 120.313698585015 & 121.00125 & 0.994317815601206 & 0.996561500561608 \tabularnewline
15 & 119.9 & 120.513644762458 & 121.34125 & 0.993179522729974 & 0.994908088924968 \tabularnewline
16 & 121.02 & 121.177347234347 & 121.682083333333 & 0.995852009719428 & 0.998701512799727 \tabularnewline
17 & 122.95 & 122.598123363013 & 122.01625 & 1.00476881860419 & 1.00287016332171 \tabularnewline
18 & 123.62 & 123.16012377851 & 122.34375 & 1.00667278695079 & 1.00373397011452 \tabularnewline
19 & 123.67 & 123.5316321116 & 122.67375 & 1.00699320035133 & 1.00112010086838 \tabularnewline
20 & 123.81 & 123.556674551062 & 123.00625 & 1.00447476897363 & 1.0020502773311 \tabularnewline
21 & 123.83 & 123.639423772818 & 123.361666666667 & 1.0022515673925 & 1.00154138721588 \tabularnewline
22 & 123.83 & 123.796959994786 & 123.737916666667 & 1.00047716439479 & 1.00026688866363 \tabularnewline
23 & 123.83 & 123.943004701328 & 124.0475 & 0.999157618664848 & 0.999088252688403 \tabularnewline
24 & 123.83 & 123.760892567286 & 124.274166666667 & 0.995869824653444 & 1.0005583947504 \tabularnewline
25 & 123.89 & 123.98601050839 & 124.485833333333 & 0.995984901963863 & 0.999225634343778 \tabularnewline
26 & 123.89 & 123.986460016392 & 124.695 & 0.994317815601206 & 0.999222011690796 \tabularnewline
27 & 124.44 & 124.047708564173 & 124.899583333333 & 0.993179522729974 & 1.00316242388004 \tabularnewline
28 & 125.51 & 124.586895552624 & 125.105833333333 & 0.995852009719428 & 1.00740932217054 \tabularnewline
29 & 125.89 & 125.913023157058 & 125.315416666667 & 1.00476881860419 & 0.999817150311532 \tabularnewline
30 & 126.12 & 126.329045822433 & 125.491666666667 & 1.00667278695079 & 0.998345227567646 \tabularnewline
31 & 126.25 & 126.562681644657 & 125.68375 & 1.00699320035133 & 0.997529432526288 \tabularnewline
32 & 126.25 & 126.493089125695 & 125.929583333333 & 1.00447476897363 & 0.998078241844078 \tabularnewline
33 & 126.3 & 126.438211274762 & 126.154166666667 & 1.0022515673925 & 0.998906886823465 \tabularnewline
34 & 126.31 & 126.389029581539 & 126.32875 & 1.00047716439479 & 0.999374711699263 \tabularnewline
35 & 126.38 & 126.413838229151 & 126.520416666667 & 0.999157618664848 & 0.999732321796213 \tabularnewline
36 & 125.51 & 126.225255437543 & 126.74875 & 0.995869824653444 & 0.994333499781293 \tabularnewline
37 & 126.82 & 126.457298046388 & 126.967083333333 & 0.995984901963863 & 1.00286817731531 \tabularnewline
38 & 126.86 & 126.46189707815 & 127.184583333333 & 0.994317815601206 & 1.00314800687834 \tabularnewline
39 & 126.86 & 126.532726495003 & 127.401666666667 & 0.993179522729974 & 1.00258647319205 \tabularnewline
40 & 127.28 & 127.086899035357 & 127.61625 & 0.995852009719428 & 1.00151944036804 \tabularnewline
41 & 128.72 & 128.437086160127 & 127.8275 & 1.00476881860419 & 1.00220274259041 \tabularnewline
42 & 128.77 & 128.92668105976 & 128.072083333333 & 1.00667278695079 & 0.998784727424361 \tabularnewline
43 & 128.84 & 129.195968863576 & 128.29875 & 1.00699320035133 & 0.997244737071079 \tabularnewline
44 & 128.88 & 129.044873570042 & 128.47 & 1.00447476897363 & 0.998722354747766 \tabularnewline
45 & 128.88 & 128.930476839011 & 128.640833333333 & 1.0022515673925 & 0.999608495677292 \tabularnewline
46 & 128.88 & 128.861875639535 & 128.800416666667 & 1.00047716439479 & 1.0001406495162 \tabularnewline
47 & 128.88 & 128.811816513947 & 128.920416666667 & 0.999157618664848 & 1.00052932632967 \tabularnewline
48 & 128.88 & 128.507457119041 & 129.040416666667 & 0.995869824653444 & 1.00289899815397 \tabularnewline
49 & 128.89 & 128.677929384058 & 129.196666666667 & 0.995984901963863 & 1.00164807295981 \tabularnewline
50 & 128.9 & 128.62868131798 & 129.36375 & 0.994317815601206 & 1.0021093171386 \tabularnewline
51 & 128.92 & 128.654820075236 & 129.538333333333 & 0.993179522729974 & 1.00206117364751 \tabularnewline
52 & 129.05 & 129.181507762467 & 129.719583333333 & 0.995852009719428 & 0.998981992355217 \tabularnewline
53 & 129.83 & 130.524912034452 & 129.905416666667 & 1.00476881860419 & 0.994676019898269 \tabularnewline
54 & 130.54 & 130.964774006341 & 130.096666666667 & 1.00667278695079 & 0.996756578174828 \tabularnewline
55 & 130.82 & 131.200724493275 & 130.289583333333 & 1.00699320035133 & 0.997098152508337 \tabularnewline
56 & 130.91 & 131.074749665676 & 130.490833333333 & 1.00447476897363 & 0.998743086169561 \tabularnewline
57 & 131.04 & 130.99553267266 & 130.70125 & 1.0022515673925 & 1.00033945682294 \tabularnewline
58 & 131.07 & 130.97955230417 & 130.917083333333 & 1.00047716439479 & 1.00069054821336 \tabularnewline
59 & 131.15 & 131.100720092038 & 131.21125 & 0.999157618664848 & 1.00037589349568 \tabularnewline
60 & 131.2 & 131.044435497345 & 131.587916666667 & 0.995869824653444 & 1.00118711261615 \tabularnewline
61 & 131.2 & 131.446352417808 & 131.97625 & 0.995984901963863 & 0.998125832986029 \tabularnewline
62 & 131.42 & 131.617020652952 & 132.369166666667 & 0.994317815601206 & 0.998503076182893 \tabularnewline
63 & 131.45 & 131.86858348087 & 132.774166666667 & 0.993179522729974 & 0.996825752807675 \tabularnewline
64 & 131.7 & 132.637529174531 & 133.19 & 0.995852009719428 & 0.992931644758724 \tabularnewline
65 & 134.24 & 134.242975316962 & 133.605833333333 & 1.00476881860419 & 0.999977836330322 \tabularnewline
66 & 135.17 & 134.910511884193 & 134.01625 & 1.00667278695079 & 1.00192340917088 \tabularnewline
67 & 135.51 & NA & NA & 1.00699320035133 & NA \tabularnewline
68 & 135.65 & NA & NA & 1.00447476897363 & NA \tabularnewline
69 & 136.02 & NA & NA & 1.0022515673925 & NA \tabularnewline
70 & 136.07 & NA & NA & 1.00047716439479 & NA \tabularnewline
71 & 136.13 & NA & NA & 0.999157618664848 & NA \tabularnewline
72 & 136.07 & NA & NA & 0.995869824653444 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208746&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]108.56[/C][C]NA[/C][C]NA[/C][C]0.995984901963863[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]108.71[/C][C]NA[/C][C]NA[/C][C]0.994317815601206[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]116.73[/C][C]NA[/C][C]NA[/C][C]0.993179522729974[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]118.88[/C][C]NA[/C][C]NA[/C][C]0.995852009719428[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]119.6[/C][C]NA[/C][C]NA[/C][C]1.00476881860419[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]119.62[/C][C]NA[/C][C]NA[/C][C]1.00667278695079[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]119.64[/C][C]118.86128156447[/C][C]118.035833333333[/C][C]1.00699320035133[/C][C]1.00655148947816[/C][/ROW]
[ROW][C]8[/C][C]119.74[/C][C]119.506967107484[/C][C]118.974583333333[/C][C]1.00447476897363[/C][C]1.00194995235974[/C][/ROW]
[ROW][C]9[/C][C]119.74[/C][C]119.84214314686[/C][C]119.572916666667[/C][C]1.0022515673925[/C][C]0.999147685912669[/C][/ROW]
[ROW][C]10[/C][C]119.74[/C][C]119.851328177704[/C][C]119.794166666667[/C][C]1.00047716439479[/C][C]0.999071114359793[/C][/ROW]
[ROW][C]11[/C][C]119.9[/C][C]119.921811601876[/C][C]120.022916666667[/C][C]0.999157618664848[/C][C]0.999818118142273[/C][/ROW]
[ROW][C]12[/C][C]119.9[/C][C]119.832186109028[/C][C]120.329166666667[/C][C]0.995869824653444[/C][C]1.00056590715044[/C][/ROW]
[ROW][C]13[/C][C]119.9[/C][C]120.179273214342[/C][C]120.66375[/C][C]0.995984901963863[/C][C]0.99767619484731[/C][/ROW]
[ROW][C]14[/C][C]119.9[/C][C]120.313698585015[/C][C]121.00125[/C][C]0.994317815601206[/C][C]0.996561500561608[/C][/ROW]
[ROW][C]15[/C][C]119.9[/C][C]120.513644762458[/C][C]121.34125[/C][C]0.993179522729974[/C][C]0.994908088924968[/C][/ROW]
[ROW][C]16[/C][C]121.02[/C][C]121.177347234347[/C][C]121.682083333333[/C][C]0.995852009719428[/C][C]0.998701512799727[/C][/ROW]
[ROW][C]17[/C][C]122.95[/C][C]122.598123363013[/C][C]122.01625[/C][C]1.00476881860419[/C][C]1.00287016332171[/C][/ROW]
[ROW][C]18[/C][C]123.62[/C][C]123.16012377851[/C][C]122.34375[/C][C]1.00667278695079[/C][C]1.00373397011452[/C][/ROW]
[ROW][C]19[/C][C]123.67[/C][C]123.5316321116[/C][C]122.67375[/C][C]1.00699320035133[/C][C]1.00112010086838[/C][/ROW]
[ROW][C]20[/C][C]123.81[/C][C]123.556674551062[/C][C]123.00625[/C][C]1.00447476897363[/C][C]1.0020502773311[/C][/ROW]
[ROW][C]21[/C][C]123.83[/C][C]123.639423772818[/C][C]123.361666666667[/C][C]1.0022515673925[/C][C]1.00154138721588[/C][/ROW]
[ROW][C]22[/C][C]123.83[/C][C]123.796959994786[/C][C]123.737916666667[/C][C]1.00047716439479[/C][C]1.00026688866363[/C][/ROW]
[ROW][C]23[/C][C]123.83[/C][C]123.943004701328[/C][C]124.0475[/C][C]0.999157618664848[/C][C]0.999088252688403[/C][/ROW]
[ROW][C]24[/C][C]123.83[/C][C]123.760892567286[/C][C]124.274166666667[/C][C]0.995869824653444[/C][C]1.0005583947504[/C][/ROW]
[ROW][C]25[/C][C]123.89[/C][C]123.98601050839[/C][C]124.485833333333[/C][C]0.995984901963863[/C][C]0.999225634343778[/C][/ROW]
[ROW][C]26[/C][C]123.89[/C][C]123.986460016392[/C][C]124.695[/C][C]0.994317815601206[/C][C]0.999222011690796[/C][/ROW]
[ROW][C]27[/C][C]124.44[/C][C]124.047708564173[/C][C]124.899583333333[/C][C]0.993179522729974[/C][C]1.00316242388004[/C][/ROW]
[ROW][C]28[/C][C]125.51[/C][C]124.586895552624[/C][C]125.105833333333[/C][C]0.995852009719428[/C][C]1.00740932217054[/C][/ROW]
[ROW][C]29[/C][C]125.89[/C][C]125.913023157058[/C][C]125.315416666667[/C][C]1.00476881860419[/C][C]0.999817150311532[/C][/ROW]
[ROW][C]30[/C][C]126.12[/C][C]126.329045822433[/C][C]125.491666666667[/C][C]1.00667278695079[/C][C]0.998345227567646[/C][/ROW]
[ROW][C]31[/C][C]126.25[/C][C]126.562681644657[/C][C]125.68375[/C][C]1.00699320035133[/C][C]0.997529432526288[/C][/ROW]
[ROW][C]32[/C][C]126.25[/C][C]126.493089125695[/C][C]125.929583333333[/C][C]1.00447476897363[/C][C]0.998078241844078[/C][/ROW]
[ROW][C]33[/C][C]126.3[/C][C]126.438211274762[/C][C]126.154166666667[/C][C]1.0022515673925[/C][C]0.998906886823465[/C][/ROW]
[ROW][C]34[/C][C]126.31[/C][C]126.389029581539[/C][C]126.32875[/C][C]1.00047716439479[/C][C]0.999374711699263[/C][/ROW]
[ROW][C]35[/C][C]126.38[/C][C]126.413838229151[/C][C]126.520416666667[/C][C]0.999157618664848[/C][C]0.999732321796213[/C][/ROW]
[ROW][C]36[/C][C]125.51[/C][C]126.225255437543[/C][C]126.74875[/C][C]0.995869824653444[/C][C]0.994333499781293[/C][/ROW]
[ROW][C]37[/C][C]126.82[/C][C]126.457298046388[/C][C]126.967083333333[/C][C]0.995984901963863[/C][C]1.00286817731531[/C][/ROW]
[ROW][C]38[/C][C]126.86[/C][C]126.46189707815[/C][C]127.184583333333[/C][C]0.994317815601206[/C][C]1.00314800687834[/C][/ROW]
[ROW][C]39[/C][C]126.86[/C][C]126.532726495003[/C][C]127.401666666667[/C][C]0.993179522729974[/C][C]1.00258647319205[/C][/ROW]
[ROW][C]40[/C][C]127.28[/C][C]127.086899035357[/C][C]127.61625[/C][C]0.995852009719428[/C][C]1.00151944036804[/C][/ROW]
[ROW][C]41[/C][C]128.72[/C][C]128.437086160127[/C][C]127.8275[/C][C]1.00476881860419[/C][C]1.00220274259041[/C][/ROW]
[ROW][C]42[/C][C]128.77[/C][C]128.92668105976[/C][C]128.072083333333[/C][C]1.00667278695079[/C][C]0.998784727424361[/C][/ROW]
[ROW][C]43[/C][C]128.84[/C][C]129.195968863576[/C][C]128.29875[/C][C]1.00699320035133[/C][C]0.997244737071079[/C][/ROW]
[ROW][C]44[/C][C]128.88[/C][C]129.044873570042[/C][C]128.47[/C][C]1.00447476897363[/C][C]0.998722354747766[/C][/ROW]
[ROW][C]45[/C][C]128.88[/C][C]128.930476839011[/C][C]128.640833333333[/C][C]1.0022515673925[/C][C]0.999608495677292[/C][/ROW]
[ROW][C]46[/C][C]128.88[/C][C]128.861875639535[/C][C]128.800416666667[/C][C]1.00047716439479[/C][C]1.0001406495162[/C][/ROW]
[ROW][C]47[/C][C]128.88[/C][C]128.811816513947[/C][C]128.920416666667[/C][C]0.999157618664848[/C][C]1.00052932632967[/C][/ROW]
[ROW][C]48[/C][C]128.88[/C][C]128.507457119041[/C][C]129.040416666667[/C][C]0.995869824653444[/C][C]1.00289899815397[/C][/ROW]
[ROW][C]49[/C][C]128.89[/C][C]128.677929384058[/C][C]129.196666666667[/C][C]0.995984901963863[/C][C]1.00164807295981[/C][/ROW]
[ROW][C]50[/C][C]128.9[/C][C]128.62868131798[/C][C]129.36375[/C][C]0.994317815601206[/C][C]1.0021093171386[/C][/ROW]
[ROW][C]51[/C][C]128.92[/C][C]128.654820075236[/C][C]129.538333333333[/C][C]0.993179522729974[/C][C]1.00206117364751[/C][/ROW]
[ROW][C]52[/C][C]129.05[/C][C]129.181507762467[/C][C]129.719583333333[/C][C]0.995852009719428[/C][C]0.998981992355217[/C][/ROW]
[ROW][C]53[/C][C]129.83[/C][C]130.524912034452[/C][C]129.905416666667[/C][C]1.00476881860419[/C][C]0.994676019898269[/C][/ROW]
[ROW][C]54[/C][C]130.54[/C][C]130.964774006341[/C][C]130.096666666667[/C][C]1.00667278695079[/C][C]0.996756578174828[/C][/ROW]
[ROW][C]55[/C][C]130.82[/C][C]131.200724493275[/C][C]130.289583333333[/C][C]1.00699320035133[/C][C]0.997098152508337[/C][/ROW]
[ROW][C]56[/C][C]130.91[/C][C]131.074749665676[/C][C]130.490833333333[/C][C]1.00447476897363[/C][C]0.998743086169561[/C][/ROW]
[ROW][C]57[/C][C]131.04[/C][C]130.99553267266[/C][C]130.70125[/C][C]1.0022515673925[/C][C]1.00033945682294[/C][/ROW]
[ROW][C]58[/C][C]131.07[/C][C]130.97955230417[/C][C]130.917083333333[/C][C]1.00047716439479[/C][C]1.00069054821336[/C][/ROW]
[ROW][C]59[/C][C]131.15[/C][C]131.100720092038[/C][C]131.21125[/C][C]0.999157618664848[/C][C]1.00037589349568[/C][/ROW]
[ROW][C]60[/C][C]131.2[/C][C]131.044435497345[/C][C]131.587916666667[/C][C]0.995869824653444[/C][C]1.00118711261615[/C][/ROW]
[ROW][C]61[/C][C]131.2[/C][C]131.446352417808[/C][C]131.97625[/C][C]0.995984901963863[/C][C]0.998125832986029[/C][/ROW]
[ROW][C]62[/C][C]131.42[/C][C]131.617020652952[/C][C]132.369166666667[/C][C]0.994317815601206[/C][C]0.998503076182893[/C][/ROW]
[ROW][C]63[/C][C]131.45[/C][C]131.86858348087[/C][C]132.774166666667[/C][C]0.993179522729974[/C][C]0.996825752807675[/C][/ROW]
[ROW][C]64[/C][C]131.7[/C][C]132.637529174531[/C][C]133.19[/C][C]0.995852009719428[/C][C]0.992931644758724[/C][/ROW]
[ROW][C]65[/C][C]134.24[/C][C]134.242975316962[/C][C]133.605833333333[/C][C]1.00476881860419[/C][C]0.999977836330322[/C][/ROW]
[ROW][C]66[/C][C]135.17[/C][C]134.910511884193[/C][C]134.01625[/C][C]1.00667278695079[/C][C]1.00192340917088[/C][/ROW]
[ROW][C]67[/C][C]135.51[/C][C]NA[/C][C]NA[/C][C]1.00699320035133[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]135.65[/C][C]NA[/C][C]NA[/C][C]1.00447476897363[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]136.02[/C][C]NA[/C][C]NA[/C][C]1.0022515673925[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]136.07[/C][C]NA[/C][C]NA[/C][C]1.00047716439479[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]136.13[/C][C]NA[/C][C]NA[/C][C]0.999157618664848[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]136.07[/C][C]NA[/C][C]NA[/C][C]0.995869824653444[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208746&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
1108.56NANA0.995984901963863NA
2108.71NANA0.994317815601206NA
3116.73NANA0.993179522729974NA
4118.88NANA0.995852009719428NA
5119.6NANA1.00476881860419NA
6119.62NANA1.00667278695079NA
7119.64118.86128156447118.0358333333331.006993200351331.00655148947816
8119.74119.506967107484118.9745833333331.004474768973631.00194995235974
9119.74119.84214314686119.5729166666671.00225156739250.999147685912669
10119.74119.851328177704119.7941666666671.000477164394790.999071114359793
11119.9119.921811601876120.0229166666670.9991576186648480.999818118142273
12119.9119.832186109028120.3291666666670.9958698246534441.00056590715044
13119.9120.179273214342120.663750.9959849019638630.99767619484731
14119.9120.313698585015121.001250.9943178156012060.996561500561608
15119.9120.513644762458121.341250.9931795227299740.994908088924968
16121.02121.177347234347121.6820833333330.9958520097194280.998701512799727
17122.95122.598123363013122.016251.004768818604191.00287016332171
18123.62123.16012377851122.343751.006672786950791.00373397011452
19123.67123.5316321116122.673751.006993200351331.00112010086838
20123.81123.556674551062123.006251.004474768973631.0020502773311
21123.83123.639423772818123.3616666666671.00225156739251.00154138721588
22123.83123.796959994786123.7379166666671.000477164394791.00026688866363
23123.83123.943004701328124.04750.9991576186648480.999088252688403
24123.83123.760892567286124.2741666666670.9958698246534441.0005583947504
25123.89123.98601050839124.4858333333330.9959849019638630.999225634343778
26123.89123.986460016392124.6950.9943178156012060.999222011690796
27124.44124.047708564173124.8995833333330.9931795227299741.00316242388004
28125.51124.586895552624125.1058333333330.9958520097194281.00740932217054
29125.89125.913023157058125.3154166666671.004768818604190.999817150311532
30126.12126.329045822433125.4916666666671.006672786950790.998345227567646
31126.25126.562681644657125.683751.006993200351330.997529432526288
32126.25126.493089125695125.9295833333331.004474768973630.998078241844078
33126.3126.438211274762126.1541666666671.00225156739250.998906886823465
34126.31126.389029581539126.328751.000477164394790.999374711699263
35126.38126.413838229151126.5204166666670.9991576186648480.999732321796213
36125.51126.225255437543126.748750.9958698246534440.994333499781293
37126.82126.457298046388126.9670833333330.9959849019638631.00286817731531
38126.86126.46189707815127.1845833333330.9943178156012061.00314800687834
39126.86126.532726495003127.4016666666670.9931795227299741.00258647319205
40127.28127.086899035357127.616250.9958520097194281.00151944036804
41128.72128.437086160127127.82751.004768818604191.00220274259041
42128.77128.92668105976128.0720833333331.006672786950790.998784727424361
43128.84129.195968863576128.298751.006993200351330.997244737071079
44128.88129.044873570042128.471.004474768973630.998722354747766
45128.88128.930476839011128.6408333333331.00225156739250.999608495677292
46128.88128.861875639535128.8004166666671.000477164394791.0001406495162
47128.88128.811816513947128.9204166666670.9991576186648481.00052932632967
48128.88128.507457119041129.0404166666670.9958698246534441.00289899815397
49128.89128.677929384058129.1966666666670.9959849019638631.00164807295981
50128.9128.62868131798129.363750.9943178156012061.0021093171386
51128.92128.654820075236129.5383333333330.9931795227299741.00206117364751
52129.05129.181507762467129.7195833333330.9958520097194280.998981992355217
53129.83130.524912034452129.9054166666671.004768818604190.994676019898269
54130.54130.964774006341130.0966666666671.006672786950790.996756578174828
55130.82131.200724493275130.2895833333331.006993200351330.997098152508337
56130.91131.074749665676130.4908333333331.004474768973630.998743086169561
57131.04130.99553267266130.701251.00225156739251.00033945682294
58131.07130.97955230417130.9170833333331.000477164394791.00069054821336
59131.15131.100720092038131.211250.9991576186648481.00037589349568
60131.2131.044435497345131.5879166666670.9958698246534441.00118711261615
61131.2131.446352417808131.976250.9959849019638630.998125832986029
62131.42131.617020652952132.3691666666670.9943178156012060.998503076182893
63131.45131.86858348087132.7741666666670.9931795227299740.996825752807675
64131.7132.637529174531133.190.9958520097194280.992931644758724
65134.24134.242975316962133.6058333333331.004768818604190.999977836330322
66135.17134.910511884193134.016251.006672786950791.00192340917088
67135.51NANA1.00699320035133NA
68135.65NANA1.00447476897363NA
69136.02NANA1.0022515673925NA
70136.07NANA1.00047716439479NA
71136.13NANA0.999157618664848NA
72136.07NANA0.995869824653444NA



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')