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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 Dec 2009 11:39:30 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259952035ec17wq4mgvvgp4y.htm/, Retrieved Sat, 27 Apr 2024 17:50:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64019, Retrieved Sat, 27 Apr 2024 17:50:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D    [Classical Decomposition] [Klassiek decompos...] [2009-12-01 19:46:49] [d46757a0a8c9b00540ab7e7e0c34bfc4]
-    D        [Classical Decomposition] [klassieke decompo...] [2009-12-04 18:39:30] [d1818fb1d9a1b0f34f8553ada228d3d5] [Current]
-    D          [Classical Decomposition] [Klassieke decompo...] [2009-12-11 15:40:47] [4f1a20f787b3465111b61213cdeef1a9]
-    D            [Classical Decomposition] [Klassieke decompo...] [2009-12-11 16:38:20] [4f1a20f787b3465111b61213cdeef1a9]
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Dataseries X:
107.11
107.57
107.81
108.75
109.43
109.62
109.54
109.53
109.84
109.67
109.79
109.56
110.22
110.40
110.69
110.72
110.89
110.58
110.94
110.91
111.22
111.09
111.00
111.06
111.55
112.32
112.64
112.36
112.04
112.37
112.59
112.89
113.22
112.85
113.06
112.99
113.32
113.74
113.91
114.52
114.96
114.91
115.30
115.44
115.52
116.08
115.94
115.56
115.88
116.66
117.41
117.68
117.85
118.21
118.92
119.03
119.17
118.95
118.92
118.90




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64019&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64019&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64019&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1107.11NANA0.997537193196223NA
2107.57NANA1.00053837314138NA
3107.81NANA1.00216513945625NA
4108.75NANA1.00181946953812NA
5109.43NANA1.00113455682792NA
6109.62NANA1.00014340559154NA
7109.54109.328699611791109.1479166666671.001656311459221.00193270741314
8109.53109.490673734648109.3954166666671.000870759222681.00035917456721
9109.84109.79176865484109.6333333333331.001445138232051.00043929837137
10109.67109.774294813808109.8354166666670.9994435141713520.999049915884361
11109.79109.767261159592109.9783333333330.9980807840295061.00020715503118
12109.56109.546972988661110.0791666666670.9951653551337561.00011891712736
13110.22109.906154103377110.17750.9975371931962231.00285558073780
14110.4110.352712301674110.2933333333331.000538373141381.00042851414650
15110.69110.647382772132110.4083333333331.002165139456251.00038516254791
16110.72110.726096870701110.5251.001819469538120.9999449373646
17110.89110.760104555259110.6345833333331.001134556827921.00117276383282
18110.58110.763381810749110.74751.000143405591540.99834438234233
19110.94111.049044326723110.8654166666671.001656311459220.999018052542607
20110.91111.097488332683111.0008333333331.000870759222680.99831239809741
21111.22111.322727909912111.1620833333331.001445138232050.999077206318592
22111.09111.249723301604111.3116666666670.9994435141713520.99856428135852
23111111.214062429441111.4279166666670.9980807840295060.99807522156133
24111.06111.011110017402111.5504166666670.9951653551337561.00044040621331
25111.55111.418669872561111.693750.9975371931962231.00117870844796
26112.32111.905214343998111.8451.000538373141381.00370658023787
27112.64112.253352408111112.0108333333331.002165139456251.00344441910727
28112.36112.371585349418112.16751.001819469538120.999896901433031
29112.04112.454107653291112.3266666666671.001134556827920.996317540889054
30112.37112.509048779925112.4929166666671.000143405591540.998764110252169
31112.59112.833661988306112.6470833333331.001656311459220.997840520426157
32112.89112.878204225134112.781.000870759222681.00010450002237
33113.22113.055227999054112.8920833333331.001445138232051.00145744698288
34112.85112.972097624359113.0350.9994435141713520.998919223180534
35113.06113.029321855395113.2466666666670.9980807840295061.00027141757644
36112.99112.925559369340113.4741666666670.9951653551337561.00057064699099
37113.32113.412912977959113.6929166666670.9975371931962230.99918075485834
38113.74113.973410539479113.9120833333331.000538373141380.997952061464386
39113.91114.361239751434114.1141666666671.002165139456250.996054259708846
40114.52114.552629819558114.3445833333331.001819469538120.999715154339021
41114.96114.729185933683114.5991666666671.001134556827921.00201181647406
42114.91114.842716726306114.826251.000143405591541.00058587323265
43115.3115.230542070268115.041.001656311459221.00060277360918
44115.44115.368704297666115.2683333333331.000870759222681.00061798130410
45115.52115.702798583255115.5358333333331.001445138232050.99842010231824
46116.08115.748884854565115.8133333333330.9994435141713521.00286063356767
47115.94115.842662065378116.0654166666670.9980807840295061.00084025982213
48115.56115.760951327009116.3233333333330.9951653551337560.998264083659426
49115.88116.324474660600116.6116666666670.9975371931962230.996179009946986
50116.66116.975025658903116.9120833333331.000538373141380.997306898142328
51117.41117.467534114940117.213751.002165139456250.99951021262706
52117.68117.699177803465117.4854166666671.001819469538120.99983706085443
53117.85117.862737096554117.7291666666671.001134556827920.99989193279515
54118.21118.009420784260117.99251.000143405591541.00169968816394
55118.92NANA1.00165631145922NA
56119.03NANA1.00087075922268NA
57119.17NANA1.00144513823205NA
58118.95NANA0.999443514171352NA
59118.92NANA0.998080784029506NA
60118.9NANA0.995165355133756NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 107.11 & NA & NA & 0.997537193196223 & NA \tabularnewline
2 & 107.57 & NA & NA & 1.00053837314138 & NA \tabularnewline
3 & 107.81 & NA & NA & 1.00216513945625 & NA \tabularnewline
4 & 108.75 & NA & NA & 1.00181946953812 & NA \tabularnewline
5 & 109.43 & NA & NA & 1.00113455682792 & NA \tabularnewline
6 & 109.62 & NA & NA & 1.00014340559154 & NA \tabularnewline
7 & 109.54 & 109.328699611791 & 109.147916666667 & 1.00165631145922 & 1.00193270741314 \tabularnewline
8 & 109.53 & 109.490673734648 & 109.395416666667 & 1.00087075922268 & 1.00035917456721 \tabularnewline
9 & 109.84 & 109.79176865484 & 109.633333333333 & 1.00144513823205 & 1.00043929837137 \tabularnewline
10 & 109.67 & 109.774294813808 & 109.835416666667 & 0.999443514171352 & 0.999049915884361 \tabularnewline
11 & 109.79 & 109.767261159592 & 109.978333333333 & 0.998080784029506 & 1.00020715503118 \tabularnewline
12 & 109.56 & 109.546972988661 & 110.079166666667 & 0.995165355133756 & 1.00011891712736 \tabularnewline
13 & 110.22 & 109.906154103377 & 110.1775 & 0.997537193196223 & 1.00285558073780 \tabularnewline
14 & 110.4 & 110.352712301674 & 110.293333333333 & 1.00053837314138 & 1.00042851414650 \tabularnewline
15 & 110.69 & 110.647382772132 & 110.408333333333 & 1.00216513945625 & 1.00038516254791 \tabularnewline
16 & 110.72 & 110.726096870701 & 110.525 & 1.00181946953812 & 0.9999449373646 \tabularnewline
17 & 110.89 & 110.760104555259 & 110.634583333333 & 1.00113455682792 & 1.00117276383282 \tabularnewline
18 & 110.58 & 110.763381810749 & 110.7475 & 1.00014340559154 & 0.99834438234233 \tabularnewline
19 & 110.94 & 111.049044326723 & 110.865416666667 & 1.00165631145922 & 0.999018052542607 \tabularnewline
20 & 110.91 & 111.097488332683 & 111.000833333333 & 1.00087075922268 & 0.99831239809741 \tabularnewline
21 & 111.22 & 111.322727909912 & 111.162083333333 & 1.00144513823205 & 0.999077206318592 \tabularnewline
22 & 111.09 & 111.249723301604 & 111.311666666667 & 0.999443514171352 & 0.99856428135852 \tabularnewline
23 & 111 & 111.214062429441 & 111.427916666667 & 0.998080784029506 & 0.99807522156133 \tabularnewline
24 & 111.06 & 111.011110017402 & 111.550416666667 & 0.995165355133756 & 1.00044040621331 \tabularnewline
25 & 111.55 & 111.418669872561 & 111.69375 & 0.997537193196223 & 1.00117870844796 \tabularnewline
26 & 112.32 & 111.905214343998 & 111.845 & 1.00053837314138 & 1.00370658023787 \tabularnewline
27 & 112.64 & 112.253352408111 & 112.010833333333 & 1.00216513945625 & 1.00344441910727 \tabularnewline
28 & 112.36 & 112.371585349418 & 112.1675 & 1.00181946953812 & 0.999896901433031 \tabularnewline
29 & 112.04 & 112.454107653291 & 112.326666666667 & 1.00113455682792 & 0.996317540889054 \tabularnewline
30 & 112.37 & 112.509048779925 & 112.492916666667 & 1.00014340559154 & 0.998764110252169 \tabularnewline
31 & 112.59 & 112.833661988306 & 112.647083333333 & 1.00165631145922 & 0.997840520426157 \tabularnewline
32 & 112.89 & 112.878204225134 & 112.78 & 1.00087075922268 & 1.00010450002237 \tabularnewline
33 & 113.22 & 113.055227999054 & 112.892083333333 & 1.00144513823205 & 1.00145744698288 \tabularnewline
34 & 112.85 & 112.972097624359 & 113.035 & 0.999443514171352 & 0.998919223180534 \tabularnewline
35 & 113.06 & 113.029321855395 & 113.246666666667 & 0.998080784029506 & 1.00027141757644 \tabularnewline
36 & 112.99 & 112.925559369340 & 113.474166666667 & 0.995165355133756 & 1.00057064699099 \tabularnewline
37 & 113.32 & 113.412912977959 & 113.692916666667 & 0.997537193196223 & 0.99918075485834 \tabularnewline
38 & 113.74 & 113.973410539479 & 113.912083333333 & 1.00053837314138 & 0.997952061464386 \tabularnewline
39 & 113.91 & 114.361239751434 & 114.114166666667 & 1.00216513945625 & 0.996054259708846 \tabularnewline
40 & 114.52 & 114.552629819558 & 114.344583333333 & 1.00181946953812 & 0.999715154339021 \tabularnewline
41 & 114.96 & 114.729185933683 & 114.599166666667 & 1.00113455682792 & 1.00201181647406 \tabularnewline
42 & 114.91 & 114.842716726306 & 114.82625 & 1.00014340559154 & 1.00058587323265 \tabularnewline
43 & 115.3 & 115.230542070268 & 115.04 & 1.00165631145922 & 1.00060277360918 \tabularnewline
44 & 115.44 & 115.368704297666 & 115.268333333333 & 1.00087075922268 & 1.00061798130410 \tabularnewline
45 & 115.52 & 115.702798583255 & 115.535833333333 & 1.00144513823205 & 0.99842010231824 \tabularnewline
46 & 116.08 & 115.748884854565 & 115.813333333333 & 0.999443514171352 & 1.00286063356767 \tabularnewline
47 & 115.94 & 115.842662065378 & 116.065416666667 & 0.998080784029506 & 1.00084025982213 \tabularnewline
48 & 115.56 & 115.760951327009 & 116.323333333333 & 0.995165355133756 & 0.998264083659426 \tabularnewline
49 & 115.88 & 116.324474660600 & 116.611666666667 & 0.997537193196223 & 0.996179009946986 \tabularnewline
50 & 116.66 & 116.975025658903 & 116.912083333333 & 1.00053837314138 & 0.997306898142328 \tabularnewline
51 & 117.41 & 117.467534114940 & 117.21375 & 1.00216513945625 & 0.99951021262706 \tabularnewline
52 & 117.68 & 117.699177803465 & 117.485416666667 & 1.00181946953812 & 0.99983706085443 \tabularnewline
53 & 117.85 & 117.862737096554 & 117.729166666667 & 1.00113455682792 & 0.99989193279515 \tabularnewline
54 & 118.21 & 118.009420784260 & 117.9925 & 1.00014340559154 & 1.00169968816394 \tabularnewline
55 & 118.92 & NA & NA & 1.00165631145922 & NA \tabularnewline
56 & 119.03 & NA & NA & 1.00087075922268 & NA \tabularnewline
57 & 119.17 & NA & NA & 1.00144513823205 & NA \tabularnewline
58 & 118.95 & NA & NA & 0.999443514171352 & NA \tabularnewline
59 & 118.92 & NA & NA & 0.998080784029506 & NA \tabularnewline
60 & 118.9 & NA & NA & 0.995165355133756 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64019&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]107.11[/C][C]NA[/C][C]NA[/C][C]0.997537193196223[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]107.57[/C][C]NA[/C][C]NA[/C][C]1.00053837314138[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]107.81[/C][C]NA[/C][C]NA[/C][C]1.00216513945625[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]108.75[/C][C]NA[/C][C]NA[/C][C]1.00181946953812[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]109.43[/C][C]NA[/C][C]NA[/C][C]1.00113455682792[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]109.62[/C][C]NA[/C][C]NA[/C][C]1.00014340559154[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]109.54[/C][C]109.328699611791[/C][C]109.147916666667[/C][C]1.00165631145922[/C][C]1.00193270741314[/C][/ROW]
[ROW][C]8[/C][C]109.53[/C][C]109.490673734648[/C][C]109.395416666667[/C][C]1.00087075922268[/C][C]1.00035917456721[/C][/ROW]
[ROW][C]9[/C][C]109.84[/C][C]109.79176865484[/C][C]109.633333333333[/C][C]1.00144513823205[/C][C]1.00043929837137[/C][/ROW]
[ROW][C]10[/C][C]109.67[/C][C]109.774294813808[/C][C]109.835416666667[/C][C]0.999443514171352[/C][C]0.999049915884361[/C][/ROW]
[ROW][C]11[/C][C]109.79[/C][C]109.767261159592[/C][C]109.978333333333[/C][C]0.998080784029506[/C][C]1.00020715503118[/C][/ROW]
[ROW][C]12[/C][C]109.56[/C][C]109.546972988661[/C][C]110.079166666667[/C][C]0.995165355133756[/C][C]1.00011891712736[/C][/ROW]
[ROW][C]13[/C][C]110.22[/C][C]109.906154103377[/C][C]110.1775[/C][C]0.997537193196223[/C][C]1.00285558073780[/C][/ROW]
[ROW][C]14[/C][C]110.4[/C][C]110.352712301674[/C][C]110.293333333333[/C][C]1.00053837314138[/C][C]1.00042851414650[/C][/ROW]
[ROW][C]15[/C][C]110.69[/C][C]110.647382772132[/C][C]110.408333333333[/C][C]1.00216513945625[/C][C]1.00038516254791[/C][/ROW]
[ROW][C]16[/C][C]110.72[/C][C]110.726096870701[/C][C]110.525[/C][C]1.00181946953812[/C][C]0.9999449373646[/C][/ROW]
[ROW][C]17[/C][C]110.89[/C][C]110.760104555259[/C][C]110.634583333333[/C][C]1.00113455682792[/C][C]1.00117276383282[/C][/ROW]
[ROW][C]18[/C][C]110.58[/C][C]110.763381810749[/C][C]110.7475[/C][C]1.00014340559154[/C][C]0.99834438234233[/C][/ROW]
[ROW][C]19[/C][C]110.94[/C][C]111.049044326723[/C][C]110.865416666667[/C][C]1.00165631145922[/C][C]0.999018052542607[/C][/ROW]
[ROW][C]20[/C][C]110.91[/C][C]111.097488332683[/C][C]111.000833333333[/C][C]1.00087075922268[/C][C]0.99831239809741[/C][/ROW]
[ROW][C]21[/C][C]111.22[/C][C]111.322727909912[/C][C]111.162083333333[/C][C]1.00144513823205[/C][C]0.999077206318592[/C][/ROW]
[ROW][C]22[/C][C]111.09[/C][C]111.249723301604[/C][C]111.311666666667[/C][C]0.999443514171352[/C][C]0.99856428135852[/C][/ROW]
[ROW][C]23[/C][C]111[/C][C]111.214062429441[/C][C]111.427916666667[/C][C]0.998080784029506[/C][C]0.99807522156133[/C][/ROW]
[ROW][C]24[/C][C]111.06[/C][C]111.011110017402[/C][C]111.550416666667[/C][C]0.995165355133756[/C][C]1.00044040621331[/C][/ROW]
[ROW][C]25[/C][C]111.55[/C][C]111.418669872561[/C][C]111.69375[/C][C]0.997537193196223[/C][C]1.00117870844796[/C][/ROW]
[ROW][C]26[/C][C]112.32[/C][C]111.905214343998[/C][C]111.845[/C][C]1.00053837314138[/C][C]1.00370658023787[/C][/ROW]
[ROW][C]27[/C][C]112.64[/C][C]112.253352408111[/C][C]112.010833333333[/C][C]1.00216513945625[/C][C]1.00344441910727[/C][/ROW]
[ROW][C]28[/C][C]112.36[/C][C]112.371585349418[/C][C]112.1675[/C][C]1.00181946953812[/C][C]0.999896901433031[/C][/ROW]
[ROW][C]29[/C][C]112.04[/C][C]112.454107653291[/C][C]112.326666666667[/C][C]1.00113455682792[/C][C]0.996317540889054[/C][/ROW]
[ROW][C]30[/C][C]112.37[/C][C]112.509048779925[/C][C]112.492916666667[/C][C]1.00014340559154[/C][C]0.998764110252169[/C][/ROW]
[ROW][C]31[/C][C]112.59[/C][C]112.833661988306[/C][C]112.647083333333[/C][C]1.00165631145922[/C][C]0.997840520426157[/C][/ROW]
[ROW][C]32[/C][C]112.89[/C][C]112.878204225134[/C][C]112.78[/C][C]1.00087075922268[/C][C]1.00010450002237[/C][/ROW]
[ROW][C]33[/C][C]113.22[/C][C]113.055227999054[/C][C]112.892083333333[/C][C]1.00144513823205[/C][C]1.00145744698288[/C][/ROW]
[ROW][C]34[/C][C]112.85[/C][C]112.972097624359[/C][C]113.035[/C][C]0.999443514171352[/C][C]0.998919223180534[/C][/ROW]
[ROW][C]35[/C][C]113.06[/C][C]113.029321855395[/C][C]113.246666666667[/C][C]0.998080784029506[/C][C]1.00027141757644[/C][/ROW]
[ROW][C]36[/C][C]112.99[/C][C]112.925559369340[/C][C]113.474166666667[/C][C]0.995165355133756[/C][C]1.00057064699099[/C][/ROW]
[ROW][C]37[/C][C]113.32[/C][C]113.412912977959[/C][C]113.692916666667[/C][C]0.997537193196223[/C][C]0.99918075485834[/C][/ROW]
[ROW][C]38[/C][C]113.74[/C][C]113.973410539479[/C][C]113.912083333333[/C][C]1.00053837314138[/C][C]0.997952061464386[/C][/ROW]
[ROW][C]39[/C][C]113.91[/C][C]114.361239751434[/C][C]114.114166666667[/C][C]1.00216513945625[/C][C]0.996054259708846[/C][/ROW]
[ROW][C]40[/C][C]114.52[/C][C]114.552629819558[/C][C]114.344583333333[/C][C]1.00181946953812[/C][C]0.999715154339021[/C][/ROW]
[ROW][C]41[/C][C]114.96[/C][C]114.729185933683[/C][C]114.599166666667[/C][C]1.00113455682792[/C][C]1.00201181647406[/C][/ROW]
[ROW][C]42[/C][C]114.91[/C][C]114.842716726306[/C][C]114.82625[/C][C]1.00014340559154[/C][C]1.00058587323265[/C][/ROW]
[ROW][C]43[/C][C]115.3[/C][C]115.230542070268[/C][C]115.04[/C][C]1.00165631145922[/C][C]1.00060277360918[/C][/ROW]
[ROW][C]44[/C][C]115.44[/C][C]115.368704297666[/C][C]115.268333333333[/C][C]1.00087075922268[/C][C]1.00061798130410[/C][/ROW]
[ROW][C]45[/C][C]115.52[/C][C]115.702798583255[/C][C]115.535833333333[/C][C]1.00144513823205[/C][C]0.99842010231824[/C][/ROW]
[ROW][C]46[/C][C]116.08[/C][C]115.748884854565[/C][C]115.813333333333[/C][C]0.999443514171352[/C][C]1.00286063356767[/C][/ROW]
[ROW][C]47[/C][C]115.94[/C][C]115.842662065378[/C][C]116.065416666667[/C][C]0.998080784029506[/C][C]1.00084025982213[/C][/ROW]
[ROW][C]48[/C][C]115.56[/C][C]115.760951327009[/C][C]116.323333333333[/C][C]0.995165355133756[/C][C]0.998264083659426[/C][/ROW]
[ROW][C]49[/C][C]115.88[/C][C]116.324474660600[/C][C]116.611666666667[/C][C]0.997537193196223[/C][C]0.996179009946986[/C][/ROW]
[ROW][C]50[/C][C]116.66[/C][C]116.975025658903[/C][C]116.912083333333[/C][C]1.00053837314138[/C][C]0.997306898142328[/C][/ROW]
[ROW][C]51[/C][C]117.41[/C][C]117.467534114940[/C][C]117.21375[/C][C]1.00216513945625[/C][C]0.99951021262706[/C][/ROW]
[ROW][C]52[/C][C]117.68[/C][C]117.699177803465[/C][C]117.485416666667[/C][C]1.00181946953812[/C][C]0.99983706085443[/C][/ROW]
[ROW][C]53[/C][C]117.85[/C][C]117.862737096554[/C][C]117.729166666667[/C][C]1.00113455682792[/C][C]0.99989193279515[/C][/ROW]
[ROW][C]54[/C][C]118.21[/C][C]118.009420784260[/C][C]117.9925[/C][C]1.00014340559154[/C][C]1.00169968816394[/C][/ROW]
[ROW][C]55[/C][C]118.92[/C][C]NA[/C][C]NA[/C][C]1.00165631145922[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]119.03[/C][C]NA[/C][C]NA[/C][C]1.00087075922268[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]119.17[/C][C]NA[/C][C]NA[/C][C]1.00144513823205[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]118.95[/C][C]NA[/C][C]NA[/C][C]0.999443514171352[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]118.92[/C][C]NA[/C][C]NA[/C][C]0.998080784029506[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]118.9[/C][C]NA[/C][C]NA[/C][C]0.995165355133756[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64019&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64019&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
1107.11NANA0.997537193196223NA
2107.57NANA1.00053837314138NA
3107.81NANA1.00216513945625NA
4108.75NANA1.00181946953812NA
5109.43NANA1.00113455682792NA
6109.62NANA1.00014340559154NA
7109.54109.328699611791109.1479166666671.001656311459221.00193270741314
8109.53109.490673734648109.3954166666671.000870759222681.00035917456721
9109.84109.79176865484109.6333333333331.001445138232051.00043929837137
10109.67109.774294813808109.8354166666670.9994435141713520.999049915884361
11109.79109.767261159592109.9783333333330.9980807840295061.00020715503118
12109.56109.546972988661110.0791666666670.9951653551337561.00011891712736
13110.22109.906154103377110.17750.9975371931962231.00285558073780
14110.4110.352712301674110.2933333333331.000538373141381.00042851414650
15110.69110.647382772132110.4083333333331.002165139456251.00038516254791
16110.72110.726096870701110.5251.001819469538120.9999449373646
17110.89110.760104555259110.6345833333331.001134556827921.00117276383282
18110.58110.763381810749110.74751.000143405591540.99834438234233
19110.94111.049044326723110.8654166666671.001656311459220.999018052542607
20110.91111.097488332683111.0008333333331.000870759222680.99831239809741
21111.22111.322727909912111.1620833333331.001445138232050.999077206318592
22111.09111.249723301604111.3116666666670.9994435141713520.99856428135852
23111111.214062429441111.4279166666670.9980807840295060.99807522156133
24111.06111.011110017402111.5504166666670.9951653551337561.00044040621331
25111.55111.418669872561111.693750.9975371931962231.00117870844796
26112.32111.905214343998111.8451.000538373141381.00370658023787
27112.64112.253352408111112.0108333333331.002165139456251.00344441910727
28112.36112.371585349418112.16751.001819469538120.999896901433031
29112.04112.454107653291112.3266666666671.001134556827920.996317540889054
30112.37112.509048779925112.4929166666671.000143405591540.998764110252169
31112.59112.833661988306112.6470833333331.001656311459220.997840520426157
32112.89112.878204225134112.781.000870759222681.00010450002237
33113.22113.055227999054112.8920833333331.001445138232051.00145744698288
34112.85112.972097624359113.0350.9994435141713520.998919223180534
35113.06113.029321855395113.2466666666670.9980807840295061.00027141757644
36112.99112.925559369340113.4741666666670.9951653551337561.00057064699099
37113.32113.412912977959113.6929166666670.9975371931962230.99918075485834
38113.74113.973410539479113.9120833333331.000538373141380.997952061464386
39113.91114.361239751434114.1141666666671.002165139456250.996054259708846
40114.52114.552629819558114.3445833333331.001819469538120.999715154339021
41114.96114.729185933683114.5991666666671.001134556827921.00201181647406
42114.91114.842716726306114.826251.000143405591541.00058587323265
43115.3115.230542070268115.041.001656311459221.00060277360918
44115.44115.368704297666115.2683333333331.000870759222681.00061798130410
45115.52115.702798583255115.5358333333331.001445138232050.99842010231824
46116.08115.748884854565115.8133333333330.9994435141713521.00286063356767
47115.94115.842662065378116.0654166666670.9980807840295061.00084025982213
48115.56115.760951327009116.3233333333330.9951653551337560.998264083659426
49115.88116.324474660600116.6116666666670.9975371931962230.996179009946986
50116.66116.975025658903116.9120833333331.000538373141380.997306898142328
51117.41117.467534114940117.213751.002165139456250.99951021262706
52117.68117.699177803465117.4854166666671.001819469538120.99983706085443
53117.85117.862737096554117.7291666666671.001134556827920.99989193279515
54118.21118.009420784260117.99251.000143405591541.00169968816394
55118.92NANA1.00165631145922NA
56119.03NANA1.00087075922268NA
57119.17NANA1.00144513823205NA
58118.95NANA0.999443514171352NA
59118.92NANA0.998080784029506NA
60118.9NANA0.995165355133756NA



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')