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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 25 Apr 2016 10:51:55 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/25/t1461577963ar9vhs9nhwzuyue.htm/, Retrieved Mon, 06 May 2024 06:00:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294681, Retrieved Mon, 06 May 2024 06:00:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-04-25 09:51:55] [705d764c18df8303d824462e41ab6988] [Current]
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Dataseries X:
109.12
109.12
109.73
112.59
112.59
112.29
113.8
114.16
112.29
112.29
110.99
110.99
110.99
110.99
111.98
114.26
114.26
114.44
115.47
115.41
114.63
116.48
115.8
115.18
115.18
115.18
115.18
116.38
122.41
122.47
123.09
123.09
123.09
123.09
121.77
121.52
121.52
121.52
121.52
124.73
125.23
124.62
128.94
129.34
127.17
128.08
124.54
121.21
120.85
119.02
119.13
119.84
125.53
124.16
127.32
127.22
122.57
125.45
125.45
127.32
128.79
128.99
129.8
130.33
131.19
132.02
136.97
139.45
128.31
130.73
129.83
125.46
130.23
130.23
132.65
136.34
139.12
133.94
143.09
142.71
136.09
134.57
134.65
134.35




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294681&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294681&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1109.12NANA-1.70683NA
2109.12NANA-2.38017NA
3109.73NANA-2.02204NA
4112.59NANA-0.405376NA
5112.59NANA1.91893NA
6112.29NANA0.577402NA
7113.8115111.7413.25872-1.19997
8114.16115.376111.8973.47886-1.21594
9112.29111.807112.069-0.2619040.483154
10112.29112.989112.2320.757332-0.699416
11110.99111.489112.371-0.881834-0.499416
12110.99110.197112.53-2.333080.792668
13110.99110.983112.69-1.706830.00725116
14110.99110.431112.811-2.380170.558918
15111.98110.939112.961-2.022041.04121
16114.26112.828113.233-0.4053761.43246
17114.26115.527113.6081.91893-1.26685
18114.44114.56113.9830.577402-0.120318
19115.47117.591114.3323.25872-2.1208
20115.41118.16114.6813.47886-2.75011
21114.63114.727114.989-0.261904-0.0972627
22116.48115.968115.2110.7573320.511834
23115.8114.757115.639-0.8818341.04308
24115.18113.98116.313-2.333081.20017
25115.18115.258116.965-1.70683-0.0781655
26115.18115.222117.602-2.38017-0.0423322
27115.18116.253118.275-2.02204-1.07296
28116.38118.498118.903-0.405376-2.11754
29122.41121.346119.4271.918931.06399
30122.47120.517119.940.5774021.9526
31123.09123.727120.4683.25872-0.637054
32123.09124.476120.9973.47886-1.38553
33123.09121.263121.525-0.2619041.8269
34123.09122.894122.1370.7573320.195584
35121.77121.721122.602-0.8818340.0493345
36121.52120.476122.81-2.333081.0435
37121.52121.436123.143-1.706830.0839178
38121.52121.267123.647-2.380170.253084
39121.52122.055124.077-2.02204-0.535457
40124.73124.05124.455-0.4053760.679959
41125.23126.698124.7791.91893-1.46768
42124.62125.459124.8810.577402-0.838652
43128.94128.099124.843.258720.840862
44129.34128.187124.7083.478861.15281
45127.17124.243124.505-0.2619042.92732
46128.08124.959124.2010.7573323.12142
47124.54123.128124.01-0.8818341.41183
48121.21121.67124.003-2.33308-0.460249
49120.85122.21123.917-1.70683-1.35983
50119.02121.381123.761-2.38017-2.36067
51119.13121.459123.481-2.02204-2.32879
52119.84122.774123.18-0.405376-2.93421
53125.53125.027123.1081.918930.503154
54124.16123.978123.40.5774020.182182
55127.32127.245123.9863.258720.0754456
56127.22128.211124.7323.47886-0.990943
57122.57125.33125.592-0.261904-2.76018
58125.45127.231126.4740.757332-1.78108
59125.45126.265127.147-0.881834-0.814832
60127.32125.377127.71-2.333081.94308
61128.79126.733128.44-1.706832.05725
62128.99126.971129.351-2.380172.01892
63129.8128.078130.1-2.022041.72204
64130.33130.154130.559-0.4053760.176209
65131.19132.881130.9621.91893-1.6906
66132.02131.644131.0670.5774020.375932
67136.97134.308131.0493.258722.66211
68139.45134.64131.1613.478864.81031
69128.31131.069131.331-0.261904-2.75935
70130.73132.458131.70.757332-1.72775
71129.83131.399132.281-0.881834-1.56942
72125.46130.359132.692-2.33308-4.89858
73130.23131.32133.027-1.70683-1.08983
74130.23131.037133.418-2.38017-0.807332
75132.65131.855133.878-2.022040.794543
76136.34133.956134.362-0.4053762.38371
77139.12136.641134.7221.918932.47857
78133.94135.871135.2940.577402-1.93115
79143.09NANA3.25872NA
80142.71NANA3.47886NA
81136.09NANA-0.261904NA
82134.57NANA0.757332NA
83134.65NANA-0.881834NA
84134.35NANA-2.33308NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 109.12 & NA & NA & -1.70683 & NA \tabularnewline
2 & 109.12 & NA & NA & -2.38017 & NA \tabularnewline
3 & 109.73 & NA & NA & -2.02204 & NA \tabularnewline
4 & 112.59 & NA & NA & -0.405376 & NA \tabularnewline
5 & 112.59 & NA & NA & 1.91893 & NA \tabularnewline
6 & 112.29 & NA & NA & 0.577402 & NA \tabularnewline
7 & 113.8 & 115 & 111.741 & 3.25872 & -1.19997 \tabularnewline
8 & 114.16 & 115.376 & 111.897 & 3.47886 & -1.21594 \tabularnewline
9 & 112.29 & 111.807 & 112.069 & -0.261904 & 0.483154 \tabularnewline
10 & 112.29 & 112.989 & 112.232 & 0.757332 & -0.699416 \tabularnewline
11 & 110.99 & 111.489 & 112.371 & -0.881834 & -0.499416 \tabularnewline
12 & 110.99 & 110.197 & 112.53 & -2.33308 & 0.792668 \tabularnewline
13 & 110.99 & 110.983 & 112.69 & -1.70683 & 0.00725116 \tabularnewline
14 & 110.99 & 110.431 & 112.811 & -2.38017 & 0.558918 \tabularnewline
15 & 111.98 & 110.939 & 112.961 & -2.02204 & 1.04121 \tabularnewline
16 & 114.26 & 112.828 & 113.233 & -0.405376 & 1.43246 \tabularnewline
17 & 114.26 & 115.527 & 113.608 & 1.91893 & -1.26685 \tabularnewline
18 & 114.44 & 114.56 & 113.983 & 0.577402 & -0.120318 \tabularnewline
19 & 115.47 & 117.591 & 114.332 & 3.25872 & -2.1208 \tabularnewline
20 & 115.41 & 118.16 & 114.681 & 3.47886 & -2.75011 \tabularnewline
21 & 114.63 & 114.727 & 114.989 & -0.261904 & -0.0972627 \tabularnewline
22 & 116.48 & 115.968 & 115.211 & 0.757332 & 0.511834 \tabularnewline
23 & 115.8 & 114.757 & 115.639 & -0.881834 & 1.04308 \tabularnewline
24 & 115.18 & 113.98 & 116.313 & -2.33308 & 1.20017 \tabularnewline
25 & 115.18 & 115.258 & 116.965 & -1.70683 & -0.0781655 \tabularnewline
26 & 115.18 & 115.222 & 117.602 & -2.38017 & -0.0423322 \tabularnewline
27 & 115.18 & 116.253 & 118.275 & -2.02204 & -1.07296 \tabularnewline
28 & 116.38 & 118.498 & 118.903 & -0.405376 & -2.11754 \tabularnewline
29 & 122.41 & 121.346 & 119.427 & 1.91893 & 1.06399 \tabularnewline
30 & 122.47 & 120.517 & 119.94 & 0.577402 & 1.9526 \tabularnewline
31 & 123.09 & 123.727 & 120.468 & 3.25872 & -0.637054 \tabularnewline
32 & 123.09 & 124.476 & 120.997 & 3.47886 & -1.38553 \tabularnewline
33 & 123.09 & 121.263 & 121.525 & -0.261904 & 1.8269 \tabularnewline
34 & 123.09 & 122.894 & 122.137 & 0.757332 & 0.195584 \tabularnewline
35 & 121.77 & 121.721 & 122.602 & -0.881834 & 0.0493345 \tabularnewline
36 & 121.52 & 120.476 & 122.81 & -2.33308 & 1.0435 \tabularnewline
37 & 121.52 & 121.436 & 123.143 & -1.70683 & 0.0839178 \tabularnewline
38 & 121.52 & 121.267 & 123.647 & -2.38017 & 0.253084 \tabularnewline
39 & 121.52 & 122.055 & 124.077 & -2.02204 & -0.535457 \tabularnewline
40 & 124.73 & 124.05 & 124.455 & -0.405376 & 0.679959 \tabularnewline
41 & 125.23 & 126.698 & 124.779 & 1.91893 & -1.46768 \tabularnewline
42 & 124.62 & 125.459 & 124.881 & 0.577402 & -0.838652 \tabularnewline
43 & 128.94 & 128.099 & 124.84 & 3.25872 & 0.840862 \tabularnewline
44 & 129.34 & 128.187 & 124.708 & 3.47886 & 1.15281 \tabularnewline
45 & 127.17 & 124.243 & 124.505 & -0.261904 & 2.92732 \tabularnewline
46 & 128.08 & 124.959 & 124.201 & 0.757332 & 3.12142 \tabularnewline
47 & 124.54 & 123.128 & 124.01 & -0.881834 & 1.41183 \tabularnewline
48 & 121.21 & 121.67 & 124.003 & -2.33308 & -0.460249 \tabularnewline
49 & 120.85 & 122.21 & 123.917 & -1.70683 & -1.35983 \tabularnewline
50 & 119.02 & 121.381 & 123.761 & -2.38017 & -2.36067 \tabularnewline
51 & 119.13 & 121.459 & 123.481 & -2.02204 & -2.32879 \tabularnewline
52 & 119.84 & 122.774 & 123.18 & -0.405376 & -2.93421 \tabularnewline
53 & 125.53 & 125.027 & 123.108 & 1.91893 & 0.503154 \tabularnewline
54 & 124.16 & 123.978 & 123.4 & 0.577402 & 0.182182 \tabularnewline
55 & 127.32 & 127.245 & 123.986 & 3.25872 & 0.0754456 \tabularnewline
56 & 127.22 & 128.211 & 124.732 & 3.47886 & -0.990943 \tabularnewline
57 & 122.57 & 125.33 & 125.592 & -0.261904 & -2.76018 \tabularnewline
58 & 125.45 & 127.231 & 126.474 & 0.757332 & -1.78108 \tabularnewline
59 & 125.45 & 126.265 & 127.147 & -0.881834 & -0.814832 \tabularnewline
60 & 127.32 & 125.377 & 127.71 & -2.33308 & 1.94308 \tabularnewline
61 & 128.79 & 126.733 & 128.44 & -1.70683 & 2.05725 \tabularnewline
62 & 128.99 & 126.971 & 129.351 & -2.38017 & 2.01892 \tabularnewline
63 & 129.8 & 128.078 & 130.1 & -2.02204 & 1.72204 \tabularnewline
64 & 130.33 & 130.154 & 130.559 & -0.405376 & 0.176209 \tabularnewline
65 & 131.19 & 132.881 & 130.962 & 1.91893 & -1.6906 \tabularnewline
66 & 132.02 & 131.644 & 131.067 & 0.577402 & 0.375932 \tabularnewline
67 & 136.97 & 134.308 & 131.049 & 3.25872 & 2.66211 \tabularnewline
68 & 139.45 & 134.64 & 131.161 & 3.47886 & 4.81031 \tabularnewline
69 & 128.31 & 131.069 & 131.331 & -0.261904 & -2.75935 \tabularnewline
70 & 130.73 & 132.458 & 131.7 & 0.757332 & -1.72775 \tabularnewline
71 & 129.83 & 131.399 & 132.281 & -0.881834 & -1.56942 \tabularnewline
72 & 125.46 & 130.359 & 132.692 & -2.33308 & -4.89858 \tabularnewline
73 & 130.23 & 131.32 & 133.027 & -1.70683 & -1.08983 \tabularnewline
74 & 130.23 & 131.037 & 133.418 & -2.38017 & -0.807332 \tabularnewline
75 & 132.65 & 131.855 & 133.878 & -2.02204 & 0.794543 \tabularnewline
76 & 136.34 & 133.956 & 134.362 & -0.405376 & 2.38371 \tabularnewline
77 & 139.12 & 136.641 & 134.722 & 1.91893 & 2.47857 \tabularnewline
78 & 133.94 & 135.871 & 135.294 & 0.577402 & -1.93115 \tabularnewline
79 & 143.09 & NA & NA & 3.25872 & NA \tabularnewline
80 & 142.71 & NA & NA & 3.47886 & NA \tabularnewline
81 & 136.09 & NA & NA & -0.261904 & NA \tabularnewline
82 & 134.57 & NA & NA & 0.757332 & NA \tabularnewline
83 & 134.65 & NA & NA & -0.881834 & NA \tabularnewline
84 & 134.35 & NA & NA & -2.33308 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294681&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]109.12[/C][C]NA[/C][C]NA[/C][C]-1.70683[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]109.12[/C][C]NA[/C][C]NA[/C][C]-2.38017[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]109.73[/C][C]NA[/C][C]NA[/C][C]-2.02204[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]112.59[/C][C]NA[/C][C]NA[/C][C]-0.405376[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]112.59[/C][C]NA[/C][C]NA[/C][C]1.91893[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]112.29[/C][C]NA[/C][C]NA[/C][C]0.577402[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]113.8[/C][C]115[/C][C]111.741[/C][C]3.25872[/C][C]-1.19997[/C][/ROW]
[ROW][C]8[/C][C]114.16[/C][C]115.376[/C][C]111.897[/C][C]3.47886[/C][C]-1.21594[/C][/ROW]
[ROW][C]9[/C][C]112.29[/C][C]111.807[/C][C]112.069[/C][C]-0.261904[/C][C]0.483154[/C][/ROW]
[ROW][C]10[/C][C]112.29[/C][C]112.989[/C][C]112.232[/C][C]0.757332[/C][C]-0.699416[/C][/ROW]
[ROW][C]11[/C][C]110.99[/C][C]111.489[/C][C]112.371[/C][C]-0.881834[/C][C]-0.499416[/C][/ROW]
[ROW][C]12[/C][C]110.99[/C][C]110.197[/C][C]112.53[/C][C]-2.33308[/C][C]0.792668[/C][/ROW]
[ROW][C]13[/C][C]110.99[/C][C]110.983[/C][C]112.69[/C][C]-1.70683[/C][C]0.00725116[/C][/ROW]
[ROW][C]14[/C][C]110.99[/C][C]110.431[/C][C]112.811[/C][C]-2.38017[/C][C]0.558918[/C][/ROW]
[ROW][C]15[/C][C]111.98[/C][C]110.939[/C][C]112.961[/C][C]-2.02204[/C][C]1.04121[/C][/ROW]
[ROW][C]16[/C][C]114.26[/C][C]112.828[/C][C]113.233[/C][C]-0.405376[/C][C]1.43246[/C][/ROW]
[ROW][C]17[/C][C]114.26[/C][C]115.527[/C][C]113.608[/C][C]1.91893[/C][C]-1.26685[/C][/ROW]
[ROW][C]18[/C][C]114.44[/C][C]114.56[/C][C]113.983[/C][C]0.577402[/C][C]-0.120318[/C][/ROW]
[ROW][C]19[/C][C]115.47[/C][C]117.591[/C][C]114.332[/C][C]3.25872[/C][C]-2.1208[/C][/ROW]
[ROW][C]20[/C][C]115.41[/C][C]118.16[/C][C]114.681[/C][C]3.47886[/C][C]-2.75011[/C][/ROW]
[ROW][C]21[/C][C]114.63[/C][C]114.727[/C][C]114.989[/C][C]-0.261904[/C][C]-0.0972627[/C][/ROW]
[ROW][C]22[/C][C]116.48[/C][C]115.968[/C][C]115.211[/C][C]0.757332[/C][C]0.511834[/C][/ROW]
[ROW][C]23[/C][C]115.8[/C][C]114.757[/C][C]115.639[/C][C]-0.881834[/C][C]1.04308[/C][/ROW]
[ROW][C]24[/C][C]115.18[/C][C]113.98[/C][C]116.313[/C][C]-2.33308[/C][C]1.20017[/C][/ROW]
[ROW][C]25[/C][C]115.18[/C][C]115.258[/C][C]116.965[/C][C]-1.70683[/C][C]-0.0781655[/C][/ROW]
[ROW][C]26[/C][C]115.18[/C][C]115.222[/C][C]117.602[/C][C]-2.38017[/C][C]-0.0423322[/C][/ROW]
[ROW][C]27[/C][C]115.18[/C][C]116.253[/C][C]118.275[/C][C]-2.02204[/C][C]-1.07296[/C][/ROW]
[ROW][C]28[/C][C]116.38[/C][C]118.498[/C][C]118.903[/C][C]-0.405376[/C][C]-2.11754[/C][/ROW]
[ROW][C]29[/C][C]122.41[/C][C]121.346[/C][C]119.427[/C][C]1.91893[/C][C]1.06399[/C][/ROW]
[ROW][C]30[/C][C]122.47[/C][C]120.517[/C][C]119.94[/C][C]0.577402[/C][C]1.9526[/C][/ROW]
[ROW][C]31[/C][C]123.09[/C][C]123.727[/C][C]120.468[/C][C]3.25872[/C][C]-0.637054[/C][/ROW]
[ROW][C]32[/C][C]123.09[/C][C]124.476[/C][C]120.997[/C][C]3.47886[/C][C]-1.38553[/C][/ROW]
[ROW][C]33[/C][C]123.09[/C][C]121.263[/C][C]121.525[/C][C]-0.261904[/C][C]1.8269[/C][/ROW]
[ROW][C]34[/C][C]123.09[/C][C]122.894[/C][C]122.137[/C][C]0.757332[/C][C]0.195584[/C][/ROW]
[ROW][C]35[/C][C]121.77[/C][C]121.721[/C][C]122.602[/C][C]-0.881834[/C][C]0.0493345[/C][/ROW]
[ROW][C]36[/C][C]121.52[/C][C]120.476[/C][C]122.81[/C][C]-2.33308[/C][C]1.0435[/C][/ROW]
[ROW][C]37[/C][C]121.52[/C][C]121.436[/C][C]123.143[/C][C]-1.70683[/C][C]0.0839178[/C][/ROW]
[ROW][C]38[/C][C]121.52[/C][C]121.267[/C][C]123.647[/C][C]-2.38017[/C][C]0.253084[/C][/ROW]
[ROW][C]39[/C][C]121.52[/C][C]122.055[/C][C]124.077[/C][C]-2.02204[/C][C]-0.535457[/C][/ROW]
[ROW][C]40[/C][C]124.73[/C][C]124.05[/C][C]124.455[/C][C]-0.405376[/C][C]0.679959[/C][/ROW]
[ROW][C]41[/C][C]125.23[/C][C]126.698[/C][C]124.779[/C][C]1.91893[/C][C]-1.46768[/C][/ROW]
[ROW][C]42[/C][C]124.62[/C][C]125.459[/C][C]124.881[/C][C]0.577402[/C][C]-0.838652[/C][/ROW]
[ROW][C]43[/C][C]128.94[/C][C]128.099[/C][C]124.84[/C][C]3.25872[/C][C]0.840862[/C][/ROW]
[ROW][C]44[/C][C]129.34[/C][C]128.187[/C][C]124.708[/C][C]3.47886[/C][C]1.15281[/C][/ROW]
[ROW][C]45[/C][C]127.17[/C][C]124.243[/C][C]124.505[/C][C]-0.261904[/C][C]2.92732[/C][/ROW]
[ROW][C]46[/C][C]128.08[/C][C]124.959[/C][C]124.201[/C][C]0.757332[/C][C]3.12142[/C][/ROW]
[ROW][C]47[/C][C]124.54[/C][C]123.128[/C][C]124.01[/C][C]-0.881834[/C][C]1.41183[/C][/ROW]
[ROW][C]48[/C][C]121.21[/C][C]121.67[/C][C]124.003[/C][C]-2.33308[/C][C]-0.460249[/C][/ROW]
[ROW][C]49[/C][C]120.85[/C][C]122.21[/C][C]123.917[/C][C]-1.70683[/C][C]-1.35983[/C][/ROW]
[ROW][C]50[/C][C]119.02[/C][C]121.381[/C][C]123.761[/C][C]-2.38017[/C][C]-2.36067[/C][/ROW]
[ROW][C]51[/C][C]119.13[/C][C]121.459[/C][C]123.481[/C][C]-2.02204[/C][C]-2.32879[/C][/ROW]
[ROW][C]52[/C][C]119.84[/C][C]122.774[/C][C]123.18[/C][C]-0.405376[/C][C]-2.93421[/C][/ROW]
[ROW][C]53[/C][C]125.53[/C][C]125.027[/C][C]123.108[/C][C]1.91893[/C][C]0.503154[/C][/ROW]
[ROW][C]54[/C][C]124.16[/C][C]123.978[/C][C]123.4[/C][C]0.577402[/C][C]0.182182[/C][/ROW]
[ROW][C]55[/C][C]127.32[/C][C]127.245[/C][C]123.986[/C][C]3.25872[/C][C]0.0754456[/C][/ROW]
[ROW][C]56[/C][C]127.22[/C][C]128.211[/C][C]124.732[/C][C]3.47886[/C][C]-0.990943[/C][/ROW]
[ROW][C]57[/C][C]122.57[/C][C]125.33[/C][C]125.592[/C][C]-0.261904[/C][C]-2.76018[/C][/ROW]
[ROW][C]58[/C][C]125.45[/C][C]127.231[/C][C]126.474[/C][C]0.757332[/C][C]-1.78108[/C][/ROW]
[ROW][C]59[/C][C]125.45[/C][C]126.265[/C][C]127.147[/C][C]-0.881834[/C][C]-0.814832[/C][/ROW]
[ROW][C]60[/C][C]127.32[/C][C]125.377[/C][C]127.71[/C][C]-2.33308[/C][C]1.94308[/C][/ROW]
[ROW][C]61[/C][C]128.79[/C][C]126.733[/C][C]128.44[/C][C]-1.70683[/C][C]2.05725[/C][/ROW]
[ROW][C]62[/C][C]128.99[/C][C]126.971[/C][C]129.351[/C][C]-2.38017[/C][C]2.01892[/C][/ROW]
[ROW][C]63[/C][C]129.8[/C][C]128.078[/C][C]130.1[/C][C]-2.02204[/C][C]1.72204[/C][/ROW]
[ROW][C]64[/C][C]130.33[/C][C]130.154[/C][C]130.559[/C][C]-0.405376[/C][C]0.176209[/C][/ROW]
[ROW][C]65[/C][C]131.19[/C][C]132.881[/C][C]130.962[/C][C]1.91893[/C][C]-1.6906[/C][/ROW]
[ROW][C]66[/C][C]132.02[/C][C]131.644[/C][C]131.067[/C][C]0.577402[/C][C]0.375932[/C][/ROW]
[ROW][C]67[/C][C]136.97[/C][C]134.308[/C][C]131.049[/C][C]3.25872[/C][C]2.66211[/C][/ROW]
[ROW][C]68[/C][C]139.45[/C][C]134.64[/C][C]131.161[/C][C]3.47886[/C][C]4.81031[/C][/ROW]
[ROW][C]69[/C][C]128.31[/C][C]131.069[/C][C]131.331[/C][C]-0.261904[/C][C]-2.75935[/C][/ROW]
[ROW][C]70[/C][C]130.73[/C][C]132.458[/C][C]131.7[/C][C]0.757332[/C][C]-1.72775[/C][/ROW]
[ROW][C]71[/C][C]129.83[/C][C]131.399[/C][C]132.281[/C][C]-0.881834[/C][C]-1.56942[/C][/ROW]
[ROW][C]72[/C][C]125.46[/C][C]130.359[/C][C]132.692[/C][C]-2.33308[/C][C]-4.89858[/C][/ROW]
[ROW][C]73[/C][C]130.23[/C][C]131.32[/C][C]133.027[/C][C]-1.70683[/C][C]-1.08983[/C][/ROW]
[ROW][C]74[/C][C]130.23[/C][C]131.037[/C][C]133.418[/C][C]-2.38017[/C][C]-0.807332[/C][/ROW]
[ROW][C]75[/C][C]132.65[/C][C]131.855[/C][C]133.878[/C][C]-2.02204[/C][C]0.794543[/C][/ROW]
[ROW][C]76[/C][C]136.34[/C][C]133.956[/C][C]134.362[/C][C]-0.405376[/C][C]2.38371[/C][/ROW]
[ROW][C]77[/C][C]139.12[/C][C]136.641[/C][C]134.722[/C][C]1.91893[/C][C]2.47857[/C][/ROW]
[ROW][C]78[/C][C]133.94[/C][C]135.871[/C][C]135.294[/C][C]0.577402[/C][C]-1.93115[/C][/ROW]
[ROW][C]79[/C][C]143.09[/C][C]NA[/C][C]NA[/C][C]3.25872[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]142.71[/C][C]NA[/C][C]NA[/C][C]3.47886[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]136.09[/C][C]NA[/C][C]NA[/C][C]-0.261904[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]134.57[/C][C]NA[/C][C]NA[/C][C]0.757332[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]134.65[/C][C]NA[/C][C]NA[/C][C]-0.881834[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]134.35[/C][C]NA[/C][C]NA[/C][C]-2.33308[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294681&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
1109.12NANA-1.70683NA
2109.12NANA-2.38017NA
3109.73NANA-2.02204NA
4112.59NANA-0.405376NA
5112.59NANA1.91893NA
6112.29NANA0.577402NA
7113.8115111.7413.25872-1.19997
8114.16115.376111.8973.47886-1.21594
9112.29111.807112.069-0.2619040.483154
10112.29112.989112.2320.757332-0.699416
11110.99111.489112.371-0.881834-0.499416
12110.99110.197112.53-2.333080.792668
13110.99110.983112.69-1.706830.00725116
14110.99110.431112.811-2.380170.558918
15111.98110.939112.961-2.022041.04121
16114.26112.828113.233-0.4053761.43246
17114.26115.527113.6081.91893-1.26685
18114.44114.56113.9830.577402-0.120318
19115.47117.591114.3323.25872-2.1208
20115.41118.16114.6813.47886-2.75011
21114.63114.727114.989-0.261904-0.0972627
22116.48115.968115.2110.7573320.511834
23115.8114.757115.639-0.8818341.04308
24115.18113.98116.313-2.333081.20017
25115.18115.258116.965-1.70683-0.0781655
26115.18115.222117.602-2.38017-0.0423322
27115.18116.253118.275-2.02204-1.07296
28116.38118.498118.903-0.405376-2.11754
29122.41121.346119.4271.918931.06399
30122.47120.517119.940.5774021.9526
31123.09123.727120.4683.25872-0.637054
32123.09124.476120.9973.47886-1.38553
33123.09121.263121.525-0.2619041.8269
34123.09122.894122.1370.7573320.195584
35121.77121.721122.602-0.8818340.0493345
36121.52120.476122.81-2.333081.0435
37121.52121.436123.143-1.706830.0839178
38121.52121.267123.647-2.380170.253084
39121.52122.055124.077-2.02204-0.535457
40124.73124.05124.455-0.4053760.679959
41125.23126.698124.7791.91893-1.46768
42124.62125.459124.8810.577402-0.838652
43128.94128.099124.843.258720.840862
44129.34128.187124.7083.478861.15281
45127.17124.243124.505-0.2619042.92732
46128.08124.959124.2010.7573323.12142
47124.54123.128124.01-0.8818341.41183
48121.21121.67124.003-2.33308-0.460249
49120.85122.21123.917-1.70683-1.35983
50119.02121.381123.761-2.38017-2.36067
51119.13121.459123.481-2.02204-2.32879
52119.84122.774123.18-0.405376-2.93421
53125.53125.027123.1081.918930.503154
54124.16123.978123.40.5774020.182182
55127.32127.245123.9863.258720.0754456
56127.22128.211124.7323.47886-0.990943
57122.57125.33125.592-0.261904-2.76018
58125.45127.231126.4740.757332-1.78108
59125.45126.265127.147-0.881834-0.814832
60127.32125.377127.71-2.333081.94308
61128.79126.733128.44-1.706832.05725
62128.99126.971129.351-2.380172.01892
63129.8128.078130.1-2.022041.72204
64130.33130.154130.559-0.4053760.176209
65131.19132.881130.9621.91893-1.6906
66132.02131.644131.0670.5774020.375932
67136.97134.308131.0493.258722.66211
68139.45134.64131.1613.478864.81031
69128.31131.069131.331-0.261904-2.75935
70130.73132.458131.70.757332-1.72775
71129.83131.399132.281-0.881834-1.56942
72125.46130.359132.692-2.33308-4.89858
73130.23131.32133.027-1.70683-1.08983
74130.23131.037133.418-2.38017-0.807332
75132.65131.855133.878-2.022040.794543
76136.34133.956134.362-0.4053762.38371
77139.12136.641134.7221.918932.47857
78133.94135.871135.2940.577402-1.93115
79143.09NANA3.25872NA
80142.71NANA3.47886NA
81136.09NANA-0.261904NA
82134.57NANA0.757332NA
83134.65NANA-0.881834NA
84134.35NANA-2.33308NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')