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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 09 Dec 2013 10:02:58 -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/2013/Dec/09/t1386601498gglq6s146ru0cym.htm/, Retrieved Fri, 19 Apr 2024 23:49:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231672, Retrieved Fri, 19 Apr 2024 23:49:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-12-09 15:02:58] [629d05b8910d8b56ad89862016f2bc6c] [Current]
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Dataseries X:
120.6
119.9
119.48
117.45
118.37
117.07
114.98
112.59
111.7
112.04
110.79
109.82
109.11
109.84
109.31
108.29
107.42
106.71
105.11
104.43
105.55
106.12
105.78
105.33
104.63
104.62
105.57
107.5
107.52
107.76
106.74
106.21
105.77
105.27
104.35
103.52
102.28
100.93
101.04
99.95
99.55
99.56
99.01
98.64
98.98
100.8
100.32
100.72
280.8
280.4
280.4
280.3
281
280.9
279.7
283.1
290.6
291.6
291.7
291.8
291.7
291.5
291.7
293.4
293.1
293.1
292.6
292.1
292.2
292
292.1
293.4
292.2
292.1
291.6
290.9
290.9
290.8
290.5
290
290.2
290.1
291
291.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231672&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]6 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=231672&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231672&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 time6 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1120.6NANA1.07574NA
2119.9NANA1.05864NA
3119.48NANA1.04579NA
4117.45NANA1.03418NA
5118.37NANA1.02219NA
6117.07NANA1.01224NA
7114.98113.875114.920.9909061.0097
8112.59110.562114.0220.9696471.01835
9111.7108.807113.180.9613671.02659
10112.04107.241112.3740.9543191.04475
11110.79105.055111.5360.9418951.05459
12109.82103.244110.6480.9330821.06369
13109.11118.122109.8051.075740.923703
14109.84115.449109.0541.058640.951416
15109.31113.425108.4581.045790.963725
16108.29111.645107.9551.034180.969951
17107.42109.885107.51.022190.977564
18106.71108.414107.1041.012240.98428
19105.11105.759106.730.9909060.99386
20104.43103.098106.3260.9696471.01292
21105.55101.859105.9520.9613671.03623
22106.12100.932105.7640.9543191.0514
23105.7899.5913105.7350.9418951.06214
24105.3398.7042105.7830.9330821.06713
25104.63113.915105.8951.075740.918489
26104.62112.255106.0371.058640.931989
27105.57110.98106.121.045790.951256
28107.5109.72106.0941.034180.979767
29107.52108.351105.9991.022190.992328
30107.76107.159105.8641.012241.00561
31106.74104.729105.690.9909061.0192
32106.21102.238105.4390.9696471.03885
33105.77101.036105.0960.9613671.04685
34105.2799.815104.5930.9543191.05465
35104.3597.9065103.9460.9418951.06581
36103.5296.3617103.2720.9330821.07429
37102.28110.381102.6091.075740.926611
38100.93107.951101.9711.058640.934963
39101.04106.015101.3731.045790.953072
4099.95104.353100.9041.034180.957811
4199.55102.781100.551.022190.968563
4299.56101.492100.2651.012240.980966
4399.01106.608107.5870.9909060.928727
4498.64118.785122.5030.9696470.830411
4598.98132.144137.4540.9613670.749032
46100.8145.478152.4420.9543190.692887
47100.32157.784167.5170.9418950.635808
48100.72170.412182.6330.9330820.591038
49280.8212.694197.7181.075741.32021
50280.4225.419212.9331.058641.24391
51280.4239.071228.6031.045791.17287
52280.3252.895244.5371.034181.10837
53281266.241260.4611.022191.05543
54280.9279.779276.3971.012241.00401
55279.7282.222284.8120.9909060.991062
56283.1277.056285.7290.9696471.02181
57290.6275.588286.6620.9613671.05447
58291.6274.538287.6790.9543191.06215
59291.7271.953288.7290.9418951.07261
60291.8270.353289.7420.9330821.07933
61291.7312.813290.7871.075740.932507
62291.5308.805291.71.058640.943961
63291.7305.52292.1421.045790.954767
64293.4302.213292.2251.034180.970839
65293.1298.745292.2581.022190.981105
66293.1295.919292.3421.012240.990475
67292.6289.77292.4290.9909061.00977
68292.1283.597292.4750.9696471.02998
69292.2281.196292.4960.9613671.03913
70292279.031292.3880.9543191.04648
71292.1275.214292.1920.9418951.06136
72293.4272.464292.0040.9330821.07684
73292.2313.924291.8211.075740.930798
74292.1308.748291.6461.058640.94608
75291.6304.823291.4751.045790.956622
76290.9301.269291.3121.034180.965581
77290.9297.65291.1881.022190.977322
78290.8294.637291.0751.012240.986979
79290.5NANA0.990906NA
80290NANA0.969647NA
81290.2NANA0.961367NA
82290.1NANA0.954319NA
83291NANA0.941895NA
84291.8NANA0.933082NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 120.6 & NA & NA & 1.07574 & NA \tabularnewline
2 & 119.9 & NA & NA & 1.05864 & NA \tabularnewline
3 & 119.48 & NA & NA & 1.04579 & NA \tabularnewline
4 & 117.45 & NA & NA & 1.03418 & NA \tabularnewline
5 & 118.37 & NA & NA & 1.02219 & NA \tabularnewline
6 & 117.07 & NA & NA & 1.01224 & NA \tabularnewline
7 & 114.98 & 113.875 & 114.92 & 0.990906 & 1.0097 \tabularnewline
8 & 112.59 & 110.562 & 114.022 & 0.969647 & 1.01835 \tabularnewline
9 & 111.7 & 108.807 & 113.18 & 0.961367 & 1.02659 \tabularnewline
10 & 112.04 & 107.241 & 112.374 & 0.954319 & 1.04475 \tabularnewline
11 & 110.79 & 105.055 & 111.536 & 0.941895 & 1.05459 \tabularnewline
12 & 109.82 & 103.244 & 110.648 & 0.933082 & 1.06369 \tabularnewline
13 & 109.11 & 118.122 & 109.805 & 1.07574 & 0.923703 \tabularnewline
14 & 109.84 & 115.449 & 109.054 & 1.05864 & 0.951416 \tabularnewline
15 & 109.31 & 113.425 & 108.458 & 1.04579 & 0.963725 \tabularnewline
16 & 108.29 & 111.645 & 107.955 & 1.03418 & 0.969951 \tabularnewline
17 & 107.42 & 109.885 & 107.5 & 1.02219 & 0.977564 \tabularnewline
18 & 106.71 & 108.414 & 107.104 & 1.01224 & 0.98428 \tabularnewline
19 & 105.11 & 105.759 & 106.73 & 0.990906 & 0.99386 \tabularnewline
20 & 104.43 & 103.098 & 106.326 & 0.969647 & 1.01292 \tabularnewline
21 & 105.55 & 101.859 & 105.952 & 0.961367 & 1.03623 \tabularnewline
22 & 106.12 & 100.932 & 105.764 & 0.954319 & 1.0514 \tabularnewline
23 & 105.78 & 99.5913 & 105.735 & 0.941895 & 1.06214 \tabularnewline
24 & 105.33 & 98.7042 & 105.783 & 0.933082 & 1.06713 \tabularnewline
25 & 104.63 & 113.915 & 105.895 & 1.07574 & 0.918489 \tabularnewline
26 & 104.62 & 112.255 & 106.037 & 1.05864 & 0.931989 \tabularnewline
27 & 105.57 & 110.98 & 106.12 & 1.04579 & 0.951256 \tabularnewline
28 & 107.5 & 109.72 & 106.094 & 1.03418 & 0.979767 \tabularnewline
29 & 107.52 & 108.351 & 105.999 & 1.02219 & 0.992328 \tabularnewline
30 & 107.76 & 107.159 & 105.864 & 1.01224 & 1.00561 \tabularnewline
31 & 106.74 & 104.729 & 105.69 & 0.990906 & 1.0192 \tabularnewline
32 & 106.21 & 102.238 & 105.439 & 0.969647 & 1.03885 \tabularnewline
33 & 105.77 & 101.036 & 105.096 & 0.961367 & 1.04685 \tabularnewline
34 & 105.27 & 99.815 & 104.593 & 0.954319 & 1.05465 \tabularnewline
35 & 104.35 & 97.9065 & 103.946 & 0.941895 & 1.06581 \tabularnewline
36 & 103.52 & 96.3617 & 103.272 & 0.933082 & 1.07429 \tabularnewline
37 & 102.28 & 110.381 & 102.609 & 1.07574 & 0.926611 \tabularnewline
38 & 100.93 & 107.951 & 101.971 & 1.05864 & 0.934963 \tabularnewline
39 & 101.04 & 106.015 & 101.373 & 1.04579 & 0.953072 \tabularnewline
40 & 99.95 & 104.353 & 100.904 & 1.03418 & 0.957811 \tabularnewline
41 & 99.55 & 102.781 & 100.55 & 1.02219 & 0.968563 \tabularnewline
42 & 99.56 & 101.492 & 100.265 & 1.01224 & 0.980966 \tabularnewline
43 & 99.01 & 106.608 & 107.587 & 0.990906 & 0.928727 \tabularnewline
44 & 98.64 & 118.785 & 122.503 & 0.969647 & 0.830411 \tabularnewline
45 & 98.98 & 132.144 & 137.454 & 0.961367 & 0.749032 \tabularnewline
46 & 100.8 & 145.478 & 152.442 & 0.954319 & 0.692887 \tabularnewline
47 & 100.32 & 157.784 & 167.517 & 0.941895 & 0.635808 \tabularnewline
48 & 100.72 & 170.412 & 182.633 & 0.933082 & 0.591038 \tabularnewline
49 & 280.8 & 212.694 & 197.718 & 1.07574 & 1.32021 \tabularnewline
50 & 280.4 & 225.419 & 212.933 & 1.05864 & 1.24391 \tabularnewline
51 & 280.4 & 239.071 & 228.603 & 1.04579 & 1.17287 \tabularnewline
52 & 280.3 & 252.895 & 244.537 & 1.03418 & 1.10837 \tabularnewline
53 & 281 & 266.241 & 260.461 & 1.02219 & 1.05543 \tabularnewline
54 & 280.9 & 279.779 & 276.397 & 1.01224 & 1.00401 \tabularnewline
55 & 279.7 & 282.222 & 284.812 & 0.990906 & 0.991062 \tabularnewline
56 & 283.1 & 277.056 & 285.729 & 0.969647 & 1.02181 \tabularnewline
57 & 290.6 & 275.588 & 286.662 & 0.961367 & 1.05447 \tabularnewline
58 & 291.6 & 274.538 & 287.679 & 0.954319 & 1.06215 \tabularnewline
59 & 291.7 & 271.953 & 288.729 & 0.941895 & 1.07261 \tabularnewline
60 & 291.8 & 270.353 & 289.742 & 0.933082 & 1.07933 \tabularnewline
61 & 291.7 & 312.813 & 290.787 & 1.07574 & 0.932507 \tabularnewline
62 & 291.5 & 308.805 & 291.7 & 1.05864 & 0.943961 \tabularnewline
63 & 291.7 & 305.52 & 292.142 & 1.04579 & 0.954767 \tabularnewline
64 & 293.4 & 302.213 & 292.225 & 1.03418 & 0.970839 \tabularnewline
65 & 293.1 & 298.745 & 292.258 & 1.02219 & 0.981105 \tabularnewline
66 & 293.1 & 295.919 & 292.342 & 1.01224 & 0.990475 \tabularnewline
67 & 292.6 & 289.77 & 292.429 & 0.990906 & 1.00977 \tabularnewline
68 & 292.1 & 283.597 & 292.475 & 0.969647 & 1.02998 \tabularnewline
69 & 292.2 & 281.196 & 292.496 & 0.961367 & 1.03913 \tabularnewline
70 & 292 & 279.031 & 292.388 & 0.954319 & 1.04648 \tabularnewline
71 & 292.1 & 275.214 & 292.192 & 0.941895 & 1.06136 \tabularnewline
72 & 293.4 & 272.464 & 292.004 & 0.933082 & 1.07684 \tabularnewline
73 & 292.2 & 313.924 & 291.821 & 1.07574 & 0.930798 \tabularnewline
74 & 292.1 & 308.748 & 291.646 & 1.05864 & 0.94608 \tabularnewline
75 & 291.6 & 304.823 & 291.475 & 1.04579 & 0.956622 \tabularnewline
76 & 290.9 & 301.269 & 291.312 & 1.03418 & 0.965581 \tabularnewline
77 & 290.9 & 297.65 & 291.188 & 1.02219 & 0.977322 \tabularnewline
78 & 290.8 & 294.637 & 291.075 & 1.01224 & 0.986979 \tabularnewline
79 & 290.5 & NA & NA & 0.990906 & NA \tabularnewline
80 & 290 & NA & NA & 0.969647 & NA \tabularnewline
81 & 290.2 & NA & NA & 0.961367 & NA \tabularnewline
82 & 290.1 & NA & NA & 0.954319 & NA \tabularnewline
83 & 291 & NA & NA & 0.941895 & NA \tabularnewline
84 & 291.8 & NA & NA & 0.933082 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231672&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]120.6[/C][C]NA[/C][C]NA[/C][C]1.07574[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]119.9[/C][C]NA[/C][C]NA[/C][C]1.05864[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]119.48[/C][C]NA[/C][C]NA[/C][C]1.04579[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]117.45[/C][C]NA[/C][C]NA[/C][C]1.03418[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]118.37[/C][C]NA[/C][C]NA[/C][C]1.02219[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]117.07[/C][C]NA[/C][C]NA[/C][C]1.01224[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]114.98[/C][C]113.875[/C][C]114.92[/C][C]0.990906[/C][C]1.0097[/C][/ROW]
[ROW][C]8[/C][C]112.59[/C][C]110.562[/C][C]114.022[/C][C]0.969647[/C][C]1.01835[/C][/ROW]
[ROW][C]9[/C][C]111.7[/C][C]108.807[/C][C]113.18[/C][C]0.961367[/C][C]1.02659[/C][/ROW]
[ROW][C]10[/C][C]112.04[/C][C]107.241[/C][C]112.374[/C][C]0.954319[/C][C]1.04475[/C][/ROW]
[ROW][C]11[/C][C]110.79[/C][C]105.055[/C][C]111.536[/C][C]0.941895[/C][C]1.05459[/C][/ROW]
[ROW][C]12[/C][C]109.82[/C][C]103.244[/C][C]110.648[/C][C]0.933082[/C][C]1.06369[/C][/ROW]
[ROW][C]13[/C][C]109.11[/C][C]118.122[/C][C]109.805[/C][C]1.07574[/C][C]0.923703[/C][/ROW]
[ROW][C]14[/C][C]109.84[/C][C]115.449[/C][C]109.054[/C][C]1.05864[/C][C]0.951416[/C][/ROW]
[ROW][C]15[/C][C]109.31[/C][C]113.425[/C][C]108.458[/C][C]1.04579[/C][C]0.963725[/C][/ROW]
[ROW][C]16[/C][C]108.29[/C][C]111.645[/C][C]107.955[/C][C]1.03418[/C][C]0.969951[/C][/ROW]
[ROW][C]17[/C][C]107.42[/C][C]109.885[/C][C]107.5[/C][C]1.02219[/C][C]0.977564[/C][/ROW]
[ROW][C]18[/C][C]106.71[/C][C]108.414[/C][C]107.104[/C][C]1.01224[/C][C]0.98428[/C][/ROW]
[ROW][C]19[/C][C]105.11[/C][C]105.759[/C][C]106.73[/C][C]0.990906[/C][C]0.99386[/C][/ROW]
[ROW][C]20[/C][C]104.43[/C][C]103.098[/C][C]106.326[/C][C]0.969647[/C][C]1.01292[/C][/ROW]
[ROW][C]21[/C][C]105.55[/C][C]101.859[/C][C]105.952[/C][C]0.961367[/C][C]1.03623[/C][/ROW]
[ROW][C]22[/C][C]106.12[/C][C]100.932[/C][C]105.764[/C][C]0.954319[/C][C]1.0514[/C][/ROW]
[ROW][C]23[/C][C]105.78[/C][C]99.5913[/C][C]105.735[/C][C]0.941895[/C][C]1.06214[/C][/ROW]
[ROW][C]24[/C][C]105.33[/C][C]98.7042[/C][C]105.783[/C][C]0.933082[/C][C]1.06713[/C][/ROW]
[ROW][C]25[/C][C]104.63[/C][C]113.915[/C][C]105.895[/C][C]1.07574[/C][C]0.918489[/C][/ROW]
[ROW][C]26[/C][C]104.62[/C][C]112.255[/C][C]106.037[/C][C]1.05864[/C][C]0.931989[/C][/ROW]
[ROW][C]27[/C][C]105.57[/C][C]110.98[/C][C]106.12[/C][C]1.04579[/C][C]0.951256[/C][/ROW]
[ROW][C]28[/C][C]107.5[/C][C]109.72[/C][C]106.094[/C][C]1.03418[/C][C]0.979767[/C][/ROW]
[ROW][C]29[/C][C]107.52[/C][C]108.351[/C][C]105.999[/C][C]1.02219[/C][C]0.992328[/C][/ROW]
[ROW][C]30[/C][C]107.76[/C][C]107.159[/C][C]105.864[/C][C]1.01224[/C][C]1.00561[/C][/ROW]
[ROW][C]31[/C][C]106.74[/C][C]104.729[/C][C]105.69[/C][C]0.990906[/C][C]1.0192[/C][/ROW]
[ROW][C]32[/C][C]106.21[/C][C]102.238[/C][C]105.439[/C][C]0.969647[/C][C]1.03885[/C][/ROW]
[ROW][C]33[/C][C]105.77[/C][C]101.036[/C][C]105.096[/C][C]0.961367[/C][C]1.04685[/C][/ROW]
[ROW][C]34[/C][C]105.27[/C][C]99.815[/C][C]104.593[/C][C]0.954319[/C][C]1.05465[/C][/ROW]
[ROW][C]35[/C][C]104.35[/C][C]97.9065[/C][C]103.946[/C][C]0.941895[/C][C]1.06581[/C][/ROW]
[ROW][C]36[/C][C]103.52[/C][C]96.3617[/C][C]103.272[/C][C]0.933082[/C][C]1.07429[/C][/ROW]
[ROW][C]37[/C][C]102.28[/C][C]110.381[/C][C]102.609[/C][C]1.07574[/C][C]0.926611[/C][/ROW]
[ROW][C]38[/C][C]100.93[/C][C]107.951[/C][C]101.971[/C][C]1.05864[/C][C]0.934963[/C][/ROW]
[ROW][C]39[/C][C]101.04[/C][C]106.015[/C][C]101.373[/C][C]1.04579[/C][C]0.953072[/C][/ROW]
[ROW][C]40[/C][C]99.95[/C][C]104.353[/C][C]100.904[/C][C]1.03418[/C][C]0.957811[/C][/ROW]
[ROW][C]41[/C][C]99.55[/C][C]102.781[/C][C]100.55[/C][C]1.02219[/C][C]0.968563[/C][/ROW]
[ROW][C]42[/C][C]99.56[/C][C]101.492[/C][C]100.265[/C][C]1.01224[/C][C]0.980966[/C][/ROW]
[ROW][C]43[/C][C]99.01[/C][C]106.608[/C][C]107.587[/C][C]0.990906[/C][C]0.928727[/C][/ROW]
[ROW][C]44[/C][C]98.64[/C][C]118.785[/C][C]122.503[/C][C]0.969647[/C][C]0.830411[/C][/ROW]
[ROW][C]45[/C][C]98.98[/C][C]132.144[/C][C]137.454[/C][C]0.961367[/C][C]0.749032[/C][/ROW]
[ROW][C]46[/C][C]100.8[/C][C]145.478[/C][C]152.442[/C][C]0.954319[/C][C]0.692887[/C][/ROW]
[ROW][C]47[/C][C]100.32[/C][C]157.784[/C][C]167.517[/C][C]0.941895[/C][C]0.635808[/C][/ROW]
[ROW][C]48[/C][C]100.72[/C][C]170.412[/C][C]182.633[/C][C]0.933082[/C][C]0.591038[/C][/ROW]
[ROW][C]49[/C][C]280.8[/C][C]212.694[/C][C]197.718[/C][C]1.07574[/C][C]1.32021[/C][/ROW]
[ROW][C]50[/C][C]280.4[/C][C]225.419[/C][C]212.933[/C][C]1.05864[/C][C]1.24391[/C][/ROW]
[ROW][C]51[/C][C]280.4[/C][C]239.071[/C][C]228.603[/C][C]1.04579[/C][C]1.17287[/C][/ROW]
[ROW][C]52[/C][C]280.3[/C][C]252.895[/C][C]244.537[/C][C]1.03418[/C][C]1.10837[/C][/ROW]
[ROW][C]53[/C][C]281[/C][C]266.241[/C][C]260.461[/C][C]1.02219[/C][C]1.05543[/C][/ROW]
[ROW][C]54[/C][C]280.9[/C][C]279.779[/C][C]276.397[/C][C]1.01224[/C][C]1.00401[/C][/ROW]
[ROW][C]55[/C][C]279.7[/C][C]282.222[/C][C]284.812[/C][C]0.990906[/C][C]0.991062[/C][/ROW]
[ROW][C]56[/C][C]283.1[/C][C]277.056[/C][C]285.729[/C][C]0.969647[/C][C]1.02181[/C][/ROW]
[ROW][C]57[/C][C]290.6[/C][C]275.588[/C][C]286.662[/C][C]0.961367[/C][C]1.05447[/C][/ROW]
[ROW][C]58[/C][C]291.6[/C][C]274.538[/C][C]287.679[/C][C]0.954319[/C][C]1.06215[/C][/ROW]
[ROW][C]59[/C][C]291.7[/C][C]271.953[/C][C]288.729[/C][C]0.941895[/C][C]1.07261[/C][/ROW]
[ROW][C]60[/C][C]291.8[/C][C]270.353[/C][C]289.742[/C][C]0.933082[/C][C]1.07933[/C][/ROW]
[ROW][C]61[/C][C]291.7[/C][C]312.813[/C][C]290.787[/C][C]1.07574[/C][C]0.932507[/C][/ROW]
[ROW][C]62[/C][C]291.5[/C][C]308.805[/C][C]291.7[/C][C]1.05864[/C][C]0.943961[/C][/ROW]
[ROW][C]63[/C][C]291.7[/C][C]305.52[/C][C]292.142[/C][C]1.04579[/C][C]0.954767[/C][/ROW]
[ROW][C]64[/C][C]293.4[/C][C]302.213[/C][C]292.225[/C][C]1.03418[/C][C]0.970839[/C][/ROW]
[ROW][C]65[/C][C]293.1[/C][C]298.745[/C][C]292.258[/C][C]1.02219[/C][C]0.981105[/C][/ROW]
[ROW][C]66[/C][C]293.1[/C][C]295.919[/C][C]292.342[/C][C]1.01224[/C][C]0.990475[/C][/ROW]
[ROW][C]67[/C][C]292.6[/C][C]289.77[/C][C]292.429[/C][C]0.990906[/C][C]1.00977[/C][/ROW]
[ROW][C]68[/C][C]292.1[/C][C]283.597[/C][C]292.475[/C][C]0.969647[/C][C]1.02998[/C][/ROW]
[ROW][C]69[/C][C]292.2[/C][C]281.196[/C][C]292.496[/C][C]0.961367[/C][C]1.03913[/C][/ROW]
[ROW][C]70[/C][C]292[/C][C]279.031[/C][C]292.388[/C][C]0.954319[/C][C]1.04648[/C][/ROW]
[ROW][C]71[/C][C]292.1[/C][C]275.214[/C][C]292.192[/C][C]0.941895[/C][C]1.06136[/C][/ROW]
[ROW][C]72[/C][C]293.4[/C][C]272.464[/C][C]292.004[/C][C]0.933082[/C][C]1.07684[/C][/ROW]
[ROW][C]73[/C][C]292.2[/C][C]313.924[/C][C]291.821[/C][C]1.07574[/C][C]0.930798[/C][/ROW]
[ROW][C]74[/C][C]292.1[/C][C]308.748[/C][C]291.646[/C][C]1.05864[/C][C]0.94608[/C][/ROW]
[ROW][C]75[/C][C]291.6[/C][C]304.823[/C][C]291.475[/C][C]1.04579[/C][C]0.956622[/C][/ROW]
[ROW][C]76[/C][C]290.9[/C][C]301.269[/C][C]291.312[/C][C]1.03418[/C][C]0.965581[/C][/ROW]
[ROW][C]77[/C][C]290.9[/C][C]297.65[/C][C]291.188[/C][C]1.02219[/C][C]0.977322[/C][/ROW]
[ROW][C]78[/C][C]290.8[/C][C]294.637[/C][C]291.075[/C][C]1.01224[/C][C]0.986979[/C][/ROW]
[ROW][C]79[/C][C]290.5[/C][C]NA[/C][C]NA[/C][C]0.990906[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]290[/C][C]NA[/C][C]NA[/C][C]0.969647[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]290.2[/C][C]NA[/C][C]NA[/C][C]0.961367[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]290.1[/C][C]NA[/C][C]NA[/C][C]0.954319[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]291[/C][C]NA[/C][C]NA[/C][C]0.941895[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]291.8[/C][C]NA[/C][C]NA[/C][C]0.933082[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231672&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231672&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
1120.6NANA1.07574NA
2119.9NANA1.05864NA
3119.48NANA1.04579NA
4117.45NANA1.03418NA
5118.37NANA1.02219NA
6117.07NANA1.01224NA
7114.98113.875114.920.9909061.0097
8112.59110.562114.0220.9696471.01835
9111.7108.807113.180.9613671.02659
10112.04107.241112.3740.9543191.04475
11110.79105.055111.5360.9418951.05459
12109.82103.244110.6480.9330821.06369
13109.11118.122109.8051.075740.923703
14109.84115.449109.0541.058640.951416
15109.31113.425108.4581.045790.963725
16108.29111.645107.9551.034180.969951
17107.42109.885107.51.022190.977564
18106.71108.414107.1041.012240.98428
19105.11105.759106.730.9909060.99386
20104.43103.098106.3260.9696471.01292
21105.55101.859105.9520.9613671.03623
22106.12100.932105.7640.9543191.0514
23105.7899.5913105.7350.9418951.06214
24105.3398.7042105.7830.9330821.06713
25104.63113.915105.8951.075740.918489
26104.62112.255106.0371.058640.931989
27105.57110.98106.121.045790.951256
28107.5109.72106.0941.034180.979767
29107.52108.351105.9991.022190.992328
30107.76107.159105.8641.012241.00561
31106.74104.729105.690.9909061.0192
32106.21102.238105.4390.9696471.03885
33105.77101.036105.0960.9613671.04685
34105.2799.815104.5930.9543191.05465
35104.3597.9065103.9460.9418951.06581
36103.5296.3617103.2720.9330821.07429
37102.28110.381102.6091.075740.926611
38100.93107.951101.9711.058640.934963
39101.04106.015101.3731.045790.953072
4099.95104.353100.9041.034180.957811
4199.55102.781100.551.022190.968563
4299.56101.492100.2651.012240.980966
4399.01106.608107.5870.9909060.928727
4498.64118.785122.5030.9696470.830411
4598.98132.144137.4540.9613670.749032
46100.8145.478152.4420.9543190.692887
47100.32157.784167.5170.9418950.635808
48100.72170.412182.6330.9330820.591038
49280.8212.694197.7181.075741.32021
50280.4225.419212.9331.058641.24391
51280.4239.071228.6031.045791.17287
52280.3252.895244.5371.034181.10837
53281266.241260.4611.022191.05543
54280.9279.779276.3971.012241.00401
55279.7282.222284.8120.9909060.991062
56283.1277.056285.7290.9696471.02181
57290.6275.588286.6620.9613671.05447
58291.6274.538287.6790.9543191.06215
59291.7271.953288.7290.9418951.07261
60291.8270.353289.7420.9330821.07933
61291.7312.813290.7871.075740.932507
62291.5308.805291.71.058640.943961
63291.7305.52292.1421.045790.954767
64293.4302.213292.2251.034180.970839
65293.1298.745292.2581.022190.981105
66293.1295.919292.3421.012240.990475
67292.6289.77292.4290.9909061.00977
68292.1283.597292.4750.9696471.02998
69292.2281.196292.4960.9613671.03913
70292279.031292.3880.9543191.04648
71292.1275.214292.1920.9418951.06136
72293.4272.464292.0040.9330821.07684
73292.2313.924291.8211.075740.930798
74292.1308.748291.6461.058640.94608
75291.6304.823291.4751.045790.956622
76290.9301.269291.3121.034180.965581
77290.9297.65291.1881.022190.977322
78290.8294.637291.0751.012240.986979
79290.5NANA0.990906NA
80290NANA0.969647NA
81290.2NANA0.961367NA
82290.1NANA0.954319NA
83291NANA0.941895NA
84291.8NANA0.933082NA



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