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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 05 Jan 2015 14:44:10 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jan/05/t1420469191rh25kryiovj2syp.htm/, Retrieved Tue, 14 May 2024 06:21:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271969, Retrieved Tue, 14 May 2024 06:21:02 +0000
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Original text written by user:
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Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-01-05 14:44:10] [cbda179e085b8c88f5d239d64a2141d3] [Current]
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Dataseries X:
1.4
1.5
1.8
1.8
1.8
1.7
1.5
1.1
1.3
1.6
1.9
1.9
2
2.2
2.2
2
2.3
2.6
3.2
3.2
3.1
2.8
2.3
1.9
1.9
2
2
1.8
1.6
1.4
0.2
0.3
0.4
0.7
1
1.1
0.8
0.8
1
1.1
1
0.8
1.6
1.5
1.6
1.6
1.6
1.9
2
1.9
2
2.1
2.3
2.3
2.6
2.6
2.7
2.6
2.6
2.4
2.5
2.5
2.5
2.4
2.1
2.1
2.3
2.3
2.3
2.9
2.8
2.9
3
3
2.9
2.6
2.8
2.9
3.1
2.8
2.4
1.6
1.5
1.7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271969&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271969&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271969&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11.4NANA0.0262731NA
21.5NANA0.0366898NA
31.8NANA0.0505787NA
41.8NANA-0.0570602NA
51.8NANA-0.0376157NA
61.7NANA-0.0334491NA
71.51.626271.63333-0.00706019-0.126273
81.11.592251.6875-0.0952546-0.492245
91.31.686691.73333-0.0466435-0.38669
101.61.831831.758330.0734954-0.231829
111.91.84851.78750.06099540.0515046
121.91.874881.845830.02905090.0251157
1321.980441.954170.02627310.0195602
142.22.149192.11250.03668980.0508102
152.22.325582.2750.0505787-0.125579
1622.342942.4-0.0570602-0.34294
172.32.429052.46667-0.0376157-0.129051
182.62.449882.48333-0.03344910.150116
193.22.472112.47917-0.007060190.727894
203.22.371412.46667-0.09525460.828588
213.12.403362.45-0.04664350.696644
222.82.506832.433330.07349540.293171
232.32.456832.395830.0609954-0.156829
241.92.345722.316670.0290509-0.445718
251.92.167942.141670.0262731-0.26794
2621.932521.895830.03668980.0674769
2721.713081.66250.05057870.286921
281.81.405441.4625-0.05706020.39456
291.61.283221.32083-0.03761570.316782
301.41.199881.23333-0.03344910.200116
310.21.147111.15417-0.00706019-0.947106
320.30.9630791.05833-0.0952546-0.663079
330.40.9200230.966667-0.0466435-0.520023
340.70.9693290.8958330.0734954-0.269329
3510.9026620.8416670.06099540.097338
361.10.8207180.7916670.02905090.279282
370.80.8512730.8250.0262731-0.0512731
380.80.9700230.9333330.0366898-0.170023
3911.083911.033330.0505787-0.083912
401.11.063771.12083-0.05706020.0362269
4111.145721.18333-0.0376157-0.145718
420.81.208221.24167-0.0334491-0.408218
431.61.317941.325-0.007060190.28206
441.51.325581.42083-0.09525460.174421
451.61.461691.50833-0.04664350.13831
461.61.665161.591670.0734954-0.065162
471.61.74851.68750.0609954-0.148495
481.91.833221.804170.02905090.0667824
4921.934611.908330.02627310.0653935
501.92.032521.995830.0366898-0.132523
5122.138082.08750.0505787-0.138079
522.12.117942.175-0.0570602-0.0179398
532.32.220722.25833-0.03761570.0792824
542.32.287382.32083-0.03344910.0126157
552.62.355442.3625-0.007060190.24456
562.62.313082.40833-0.09525460.286921
572.72.407522.45417-0.04664350.292477
582.62.5612.48750.07349540.0390046
592.62.552662.491670.06099540.047338
602.42.504052.4750.0290509-0.104051
612.52.480442.454170.02627310.0195602
622.52.465862.429170.03668980.0341435
632.52.450582.40.05057870.0494213
642.42.338772.39583-0.05706020.0612269
652.12.379052.41667-0.0376157-0.279051
662.12.412382.44583-0.0334491-0.312384
672.32.480442.4875-0.00706019-0.18044
682.32.433912.52917-0.0952546-0.133912
692.32.520022.56667-0.0466435-0.220023
702.92.665162.591670.07349540.234838
712.82.690162.629170.06099540.109838
722.92.720722.691670.02905090.179282
7332.784612.758330.02627310.215394
7432.849192.81250.03668980.15081
752.92.888082.83750.05057870.0119213
762.62.730442.7875-0.0570602-0.13044
772.82.641552.67917-0.03761570.158449
782.92.541552.575-0.03344910.358449
793.1NANA-0.00706019NA
802.8NANA-0.0952546NA
812.4NANA-0.0466435NA
821.6NANA0.0734954NA
831.5NANA0.0609954NA
841.7NANA0.0290509NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.4 & NA & NA & 0.0262731 & NA \tabularnewline
2 & 1.5 & NA & NA & 0.0366898 & NA \tabularnewline
3 & 1.8 & NA & NA & 0.0505787 & NA \tabularnewline
4 & 1.8 & NA & NA & -0.0570602 & NA \tabularnewline
5 & 1.8 & NA & NA & -0.0376157 & NA \tabularnewline
6 & 1.7 & NA & NA & -0.0334491 & NA \tabularnewline
7 & 1.5 & 1.62627 & 1.63333 & -0.00706019 & -0.126273 \tabularnewline
8 & 1.1 & 1.59225 & 1.6875 & -0.0952546 & -0.492245 \tabularnewline
9 & 1.3 & 1.68669 & 1.73333 & -0.0466435 & -0.38669 \tabularnewline
10 & 1.6 & 1.83183 & 1.75833 & 0.0734954 & -0.231829 \tabularnewline
11 & 1.9 & 1.8485 & 1.7875 & 0.0609954 & 0.0515046 \tabularnewline
12 & 1.9 & 1.87488 & 1.84583 & 0.0290509 & 0.0251157 \tabularnewline
13 & 2 & 1.98044 & 1.95417 & 0.0262731 & 0.0195602 \tabularnewline
14 & 2.2 & 2.14919 & 2.1125 & 0.0366898 & 0.0508102 \tabularnewline
15 & 2.2 & 2.32558 & 2.275 & 0.0505787 & -0.125579 \tabularnewline
16 & 2 & 2.34294 & 2.4 & -0.0570602 & -0.34294 \tabularnewline
17 & 2.3 & 2.42905 & 2.46667 & -0.0376157 & -0.129051 \tabularnewline
18 & 2.6 & 2.44988 & 2.48333 & -0.0334491 & 0.150116 \tabularnewline
19 & 3.2 & 2.47211 & 2.47917 & -0.00706019 & 0.727894 \tabularnewline
20 & 3.2 & 2.37141 & 2.46667 & -0.0952546 & 0.828588 \tabularnewline
21 & 3.1 & 2.40336 & 2.45 & -0.0466435 & 0.696644 \tabularnewline
22 & 2.8 & 2.50683 & 2.43333 & 0.0734954 & 0.293171 \tabularnewline
23 & 2.3 & 2.45683 & 2.39583 & 0.0609954 & -0.156829 \tabularnewline
24 & 1.9 & 2.34572 & 2.31667 & 0.0290509 & -0.445718 \tabularnewline
25 & 1.9 & 2.16794 & 2.14167 & 0.0262731 & -0.26794 \tabularnewline
26 & 2 & 1.93252 & 1.89583 & 0.0366898 & 0.0674769 \tabularnewline
27 & 2 & 1.71308 & 1.6625 & 0.0505787 & 0.286921 \tabularnewline
28 & 1.8 & 1.40544 & 1.4625 & -0.0570602 & 0.39456 \tabularnewline
29 & 1.6 & 1.28322 & 1.32083 & -0.0376157 & 0.316782 \tabularnewline
30 & 1.4 & 1.19988 & 1.23333 & -0.0334491 & 0.200116 \tabularnewline
31 & 0.2 & 1.14711 & 1.15417 & -0.00706019 & -0.947106 \tabularnewline
32 & 0.3 & 0.963079 & 1.05833 & -0.0952546 & -0.663079 \tabularnewline
33 & 0.4 & 0.920023 & 0.966667 & -0.0466435 & -0.520023 \tabularnewline
34 & 0.7 & 0.969329 & 0.895833 & 0.0734954 & -0.269329 \tabularnewline
35 & 1 & 0.902662 & 0.841667 & 0.0609954 & 0.097338 \tabularnewline
36 & 1.1 & 0.820718 & 0.791667 & 0.0290509 & 0.279282 \tabularnewline
37 & 0.8 & 0.851273 & 0.825 & 0.0262731 & -0.0512731 \tabularnewline
38 & 0.8 & 0.970023 & 0.933333 & 0.0366898 & -0.170023 \tabularnewline
39 & 1 & 1.08391 & 1.03333 & 0.0505787 & -0.083912 \tabularnewline
40 & 1.1 & 1.06377 & 1.12083 & -0.0570602 & 0.0362269 \tabularnewline
41 & 1 & 1.14572 & 1.18333 & -0.0376157 & -0.145718 \tabularnewline
42 & 0.8 & 1.20822 & 1.24167 & -0.0334491 & -0.408218 \tabularnewline
43 & 1.6 & 1.31794 & 1.325 & -0.00706019 & 0.28206 \tabularnewline
44 & 1.5 & 1.32558 & 1.42083 & -0.0952546 & 0.174421 \tabularnewline
45 & 1.6 & 1.46169 & 1.50833 & -0.0466435 & 0.13831 \tabularnewline
46 & 1.6 & 1.66516 & 1.59167 & 0.0734954 & -0.065162 \tabularnewline
47 & 1.6 & 1.7485 & 1.6875 & 0.0609954 & -0.148495 \tabularnewline
48 & 1.9 & 1.83322 & 1.80417 & 0.0290509 & 0.0667824 \tabularnewline
49 & 2 & 1.93461 & 1.90833 & 0.0262731 & 0.0653935 \tabularnewline
50 & 1.9 & 2.03252 & 1.99583 & 0.0366898 & -0.132523 \tabularnewline
51 & 2 & 2.13808 & 2.0875 & 0.0505787 & -0.138079 \tabularnewline
52 & 2.1 & 2.11794 & 2.175 & -0.0570602 & -0.0179398 \tabularnewline
53 & 2.3 & 2.22072 & 2.25833 & -0.0376157 & 0.0792824 \tabularnewline
54 & 2.3 & 2.28738 & 2.32083 & -0.0334491 & 0.0126157 \tabularnewline
55 & 2.6 & 2.35544 & 2.3625 & -0.00706019 & 0.24456 \tabularnewline
56 & 2.6 & 2.31308 & 2.40833 & -0.0952546 & 0.286921 \tabularnewline
57 & 2.7 & 2.40752 & 2.45417 & -0.0466435 & 0.292477 \tabularnewline
58 & 2.6 & 2.561 & 2.4875 & 0.0734954 & 0.0390046 \tabularnewline
59 & 2.6 & 2.55266 & 2.49167 & 0.0609954 & 0.047338 \tabularnewline
60 & 2.4 & 2.50405 & 2.475 & 0.0290509 & -0.104051 \tabularnewline
61 & 2.5 & 2.48044 & 2.45417 & 0.0262731 & 0.0195602 \tabularnewline
62 & 2.5 & 2.46586 & 2.42917 & 0.0366898 & 0.0341435 \tabularnewline
63 & 2.5 & 2.45058 & 2.4 & 0.0505787 & 0.0494213 \tabularnewline
64 & 2.4 & 2.33877 & 2.39583 & -0.0570602 & 0.0612269 \tabularnewline
65 & 2.1 & 2.37905 & 2.41667 & -0.0376157 & -0.279051 \tabularnewline
66 & 2.1 & 2.41238 & 2.44583 & -0.0334491 & -0.312384 \tabularnewline
67 & 2.3 & 2.48044 & 2.4875 & -0.00706019 & -0.18044 \tabularnewline
68 & 2.3 & 2.43391 & 2.52917 & -0.0952546 & -0.133912 \tabularnewline
69 & 2.3 & 2.52002 & 2.56667 & -0.0466435 & -0.220023 \tabularnewline
70 & 2.9 & 2.66516 & 2.59167 & 0.0734954 & 0.234838 \tabularnewline
71 & 2.8 & 2.69016 & 2.62917 & 0.0609954 & 0.109838 \tabularnewline
72 & 2.9 & 2.72072 & 2.69167 & 0.0290509 & 0.179282 \tabularnewline
73 & 3 & 2.78461 & 2.75833 & 0.0262731 & 0.215394 \tabularnewline
74 & 3 & 2.84919 & 2.8125 & 0.0366898 & 0.15081 \tabularnewline
75 & 2.9 & 2.88808 & 2.8375 & 0.0505787 & 0.0119213 \tabularnewline
76 & 2.6 & 2.73044 & 2.7875 & -0.0570602 & -0.13044 \tabularnewline
77 & 2.8 & 2.64155 & 2.67917 & -0.0376157 & 0.158449 \tabularnewline
78 & 2.9 & 2.54155 & 2.575 & -0.0334491 & 0.358449 \tabularnewline
79 & 3.1 & NA & NA & -0.00706019 & NA \tabularnewline
80 & 2.8 & NA & NA & -0.0952546 & NA \tabularnewline
81 & 2.4 & NA & NA & -0.0466435 & NA \tabularnewline
82 & 1.6 & NA & NA & 0.0734954 & NA \tabularnewline
83 & 1.5 & NA & NA & 0.0609954 & NA \tabularnewline
84 & 1.7 & NA & NA & 0.0290509 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271969&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]1.4[/C][C]NA[/C][C]NA[/C][C]0.0262731[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1.5[/C][C]NA[/C][C]NA[/C][C]0.0366898[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1.8[/C][C]NA[/C][C]NA[/C][C]0.0505787[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1.8[/C][C]NA[/C][C]NA[/C][C]-0.0570602[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1.8[/C][C]NA[/C][C]NA[/C][C]-0.0376157[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.7[/C][C]NA[/C][C]NA[/C][C]-0.0334491[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1.5[/C][C]1.62627[/C][C]1.63333[/C][C]-0.00706019[/C][C]-0.126273[/C][/ROW]
[ROW][C]8[/C][C]1.1[/C][C]1.59225[/C][C]1.6875[/C][C]-0.0952546[/C][C]-0.492245[/C][/ROW]
[ROW][C]9[/C][C]1.3[/C][C]1.68669[/C][C]1.73333[/C][C]-0.0466435[/C][C]-0.38669[/C][/ROW]
[ROW][C]10[/C][C]1.6[/C][C]1.83183[/C][C]1.75833[/C][C]0.0734954[/C][C]-0.231829[/C][/ROW]
[ROW][C]11[/C][C]1.9[/C][C]1.8485[/C][C]1.7875[/C][C]0.0609954[/C][C]0.0515046[/C][/ROW]
[ROW][C]12[/C][C]1.9[/C][C]1.87488[/C][C]1.84583[/C][C]0.0290509[/C][C]0.0251157[/C][/ROW]
[ROW][C]13[/C][C]2[/C][C]1.98044[/C][C]1.95417[/C][C]0.0262731[/C][C]0.0195602[/C][/ROW]
[ROW][C]14[/C][C]2.2[/C][C]2.14919[/C][C]2.1125[/C][C]0.0366898[/C][C]0.0508102[/C][/ROW]
[ROW][C]15[/C][C]2.2[/C][C]2.32558[/C][C]2.275[/C][C]0.0505787[/C][C]-0.125579[/C][/ROW]
[ROW][C]16[/C][C]2[/C][C]2.34294[/C][C]2.4[/C][C]-0.0570602[/C][C]-0.34294[/C][/ROW]
[ROW][C]17[/C][C]2.3[/C][C]2.42905[/C][C]2.46667[/C][C]-0.0376157[/C][C]-0.129051[/C][/ROW]
[ROW][C]18[/C][C]2.6[/C][C]2.44988[/C][C]2.48333[/C][C]-0.0334491[/C][C]0.150116[/C][/ROW]
[ROW][C]19[/C][C]3.2[/C][C]2.47211[/C][C]2.47917[/C][C]-0.00706019[/C][C]0.727894[/C][/ROW]
[ROW][C]20[/C][C]3.2[/C][C]2.37141[/C][C]2.46667[/C][C]-0.0952546[/C][C]0.828588[/C][/ROW]
[ROW][C]21[/C][C]3.1[/C][C]2.40336[/C][C]2.45[/C][C]-0.0466435[/C][C]0.696644[/C][/ROW]
[ROW][C]22[/C][C]2.8[/C][C]2.50683[/C][C]2.43333[/C][C]0.0734954[/C][C]0.293171[/C][/ROW]
[ROW][C]23[/C][C]2.3[/C][C]2.45683[/C][C]2.39583[/C][C]0.0609954[/C][C]-0.156829[/C][/ROW]
[ROW][C]24[/C][C]1.9[/C][C]2.34572[/C][C]2.31667[/C][C]0.0290509[/C][C]-0.445718[/C][/ROW]
[ROW][C]25[/C][C]1.9[/C][C]2.16794[/C][C]2.14167[/C][C]0.0262731[/C][C]-0.26794[/C][/ROW]
[ROW][C]26[/C][C]2[/C][C]1.93252[/C][C]1.89583[/C][C]0.0366898[/C][C]0.0674769[/C][/ROW]
[ROW][C]27[/C][C]2[/C][C]1.71308[/C][C]1.6625[/C][C]0.0505787[/C][C]0.286921[/C][/ROW]
[ROW][C]28[/C][C]1.8[/C][C]1.40544[/C][C]1.4625[/C][C]-0.0570602[/C][C]0.39456[/C][/ROW]
[ROW][C]29[/C][C]1.6[/C][C]1.28322[/C][C]1.32083[/C][C]-0.0376157[/C][C]0.316782[/C][/ROW]
[ROW][C]30[/C][C]1.4[/C][C]1.19988[/C][C]1.23333[/C][C]-0.0334491[/C][C]0.200116[/C][/ROW]
[ROW][C]31[/C][C]0.2[/C][C]1.14711[/C][C]1.15417[/C][C]-0.00706019[/C][C]-0.947106[/C][/ROW]
[ROW][C]32[/C][C]0.3[/C][C]0.963079[/C][C]1.05833[/C][C]-0.0952546[/C][C]-0.663079[/C][/ROW]
[ROW][C]33[/C][C]0.4[/C][C]0.920023[/C][C]0.966667[/C][C]-0.0466435[/C][C]-0.520023[/C][/ROW]
[ROW][C]34[/C][C]0.7[/C][C]0.969329[/C][C]0.895833[/C][C]0.0734954[/C][C]-0.269329[/C][/ROW]
[ROW][C]35[/C][C]1[/C][C]0.902662[/C][C]0.841667[/C][C]0.0609954[/C][C]0.097338[/C][/ROW]
[ROW][C]36[/C][C]1.1[/C][C]0.820718[/C][C]0.791667[/C][C]0.0290509[/C][C]0.279282[/C][/ROW]
[ROW][C]37[/C][C]0.8[/C][C]0.851273[/C][C]0.825[/C][C]0.0262731[/C][C]-0.0512731[/C][/ROW]
[ROW][C]38[/C][C]0.8[/C][C]0.970023[/C][C]0.933333[/C][C]0.0366898[/C][C]-0.170023[/C][/ROW]
[ROW][C]39[/C][C]1[/C][C]1.08391[/C][C]1.03333[/C][C]0.0505787[/C][C]-0.083912[/C][/ROW]
[ROW][C]40[/C][C]1.1[/C][C]1.06377[/C][C]1.12083[/C][C]-0.0570602[/C][C]0.0362269[/C][/ROW]
[ROW][C]41[/C][C]1[/C][C]1.14572[/C][C]1.18333[/C][C]-0.0376157[/C][C]-0.145718[/C][/ROW]
[ROW][C]42[/C][C]0.8[/C][C]1.20822[/C][C]1.24167[/C][C]-0.0334491[/C][C]-0.408218[/C][/ROW]
[ROW][C]43[/C][C]1.6[/C][C]1.31794[/C][C]1.325[/C][C]-0.00706019[/C][C]0.28206[/C][/ROW]
[ROW][C]44[/C][C]1.5[/C][C]1.32558[/C][C]1.42083[/C][C]-0.0952546[/C][C]0.174421[/C][/ROW]
[ROW][C]45[/C][C]1.6[/C][C]1.46169[/C][C]1.50833[/C][C]-0.0466435[/C][C]0.13831[/C][/ROW]
[ROW][C]46[/C][C]1.6[/C][C]1.66516[/C][C]1.59167[/C][C]0.0734954[/C][C]-0.065162[/C][/ROW]
[ROW][C]47[/C][C]1.6[/C][C]1.7485[/C][C]1.6875[/C][C]0.0609954[/C][C]-0.148495[/C][/ROW]
[ROW][C]48[/C][C]1.9[/C][C]1.83322[/C][C]1.80417[/C][C]0.0290509[/C][C]0.0667824[/C][/ROW]
[ROW][C]49[/C][C]2[/C][C]1.93461[/C][C]1.90833[/C][C]0.0262731[/C][C]0.0653935[/C][/ROW]
[ROW][C]50[/C][C]1.9[/C][C]2.03252[/C][C]1.99583[/C][C]0.0366898[/C][C]-0.132523[/C][/ROW]
[ROW][C]51[/C][C]2[/C][C]2.13808[/C][C]2.0875[/C][C]0.0505787[/C][C]-0.138079[/C][/ROW]
[ROW][C]52[/C][C]2.1[/C][C]2.11794[/C][C]2.175[/C][C]-0.0570602[/C][C]-0.0179398[/C][/ROW]
[ROW][C]53[/C][C]2.3[/C][C]2.22072[/C][C]2.25833[/C][C]-0.0376157[/C][C]0.0792824[/C][/ROW]
[ROW][C]54[/C][C]2.3[/C][C]2.28738[/C][C]2.32083[/C][C]-0.0334491[/C][C]0.0126157[/C][/ROW]
[ROW][C]55[/C][C]2.6[/C][C]2.35544[/C][C]2.3625[/C][C]-0.00706019[/C][C]0.24456[/C][/ROW]
[ROW][C]56[/C][C]2.6[/C][C]2.31308[/C][C]2.40833[/C][C]-0.0952546[/C][C]0.286921[/C][/ROW]
[ROW][C]57[/C][C]2.7[/C][C]2.40752[/C][C]2.45417[/C][C]-0.0466435[/C][C]0.292477[/C][/ROW]
[ROW][C]58[/C][C]2.6[/C][C]2.561[/C][C]2.4875[/C][C]0.0734954[/C][C]0.0390046[/C][/ROW]
[ROW][C]59[/C][C]2.6[/C][C]2.55266[/C][C]2.49167[/C][C]0.0609954[/C][C]0.047338[/C][/ROW]
[ROW][C]60[/C][C]2.4[/C][C]2.50405[/C][C]2.475[/C][C]0.0290509[/C][C]-0.104051[/C][/ROW]
[ROW][C]61[/C][C]2.5[/C][C]2.48044[/C][C]2.45417[/C][C]0.0262731[/C][C]0.0195602[/C][/ROW]
[ROW][C]62[/C][C]2.5[/C][C]2.46586[/C][C]2.42917[/C][C]0.0366898[/C][C]0.0341435[/C][/ROW]
[ROW][C]63[/C][C]2.5[/C][C]2.45058[/C][C]2.4[/C][C]0.0505787[/C][C]0.0494213[/C][/ROW]
[ROW][C]64[/C][C]2.4[/C][C]2.33877[/C][C]2.39583[/C][C]-0.0570602[/C][C]0.0612269[/C][/ROW]
[ROW][C]65[/C][C]2.1[/C][C]2.37905[/C][C]2.41667[/C][C]-0.0376157[/C][C]-0.279051[/C][/ROW]
[ROW][C]66[/C][C]2.1[/C][C]2.41238[/C][C]2.44583[/C][C]-0.0334491[/C][C]-0.312384[/C][/ROW]
[ROW][C]67[/C][C]2.3[/C][C]2.48044[/C][C]2.4875[/C][C]-0.00706019[/C][C]-0.18044[/C][/ROW]
[ROW][C]68[/C][C]2.3[/C][C]2.43391[/C][C]2.52917[/C][C]-0.0952546[/C][C]-0.133912[/C][/ROW]
[ROW][C]69[/C][C]2.3[/C][C]2.52002[/C][C]2.56667[/C][C]-0.0466435[/C][C]-0.220023[/C][/ROW]
[ROW][C]70[/C][C]2.9[/C][C]2.66516[/C][C]2.59167[/C][C]0.0734954[/C][C]0.234838[/C][/ROW]
[ROW][C]71[/C][C]2.8[/C][C]2.69016[/C][C]2.62917[/C][C]0.0609954[/C][C]0.109838[/C][/ROW]
[ROW][C]72[/C][C]2.9[/C][C]2.72072[/C][C]2.69167[/C][C]0.0290509[/C][C]0.179282[/C][/ROW]
[ROW][C]73[/C][C]3[/C][C]2.78461[/C][C]2.75833[/C][C]0.0262731[/C][C]0.215394[/C][/ROW]
[ROW][C]74[/C][C]3[/C][C]2.84919[/C][C]2.8125[/C][C]0.0366898[/C][C]0.15081[/C][/ROW]
[ROW][C]75[/C][C]2.9[/C][C]2.88808[/C][C]2.8375[/C][C]0.0505787[/C][C]0.0119213[/C][/ROW]
[ROW][C]76[/C][C]2.6[/C][C]2.73044[/C][C]2.7875[/C][C]-0.0570602[/C][C]-0.13044[/C][/ROW]
[ROW][C]77[/C][C]2.8[/C][C]2.64155[/C][C]2.67917[/C][C]-0.0376157[/C][C]0.158449[/C][/ROW]
[ROW][C]78[/C][C]2.9[/C][C]2.54155[/C][C]2.575[/C][C]-0.0334491[/C][C]0.358449[/C][/ROW]
[ROW][C]79[/C][C]3.1[/C][C]NA[/C][C]NA[/C][C]-0.00706019[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]2.8[/C][C]NA[/C][C]NA[/C][C]-0.0952546[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]2.4[/C][C]NA[/C][C]NA[/C][C]-0.0466435[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]1.6[/C][C]NA[/C][C]NA[/C][C]0.0734954[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]1.5[/C][C]NA[/C][C]NA[/C][C]0.0609954[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]1.7[/C][C]NA[/C][C]NA[/C][C]0.0290509[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271969&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271969&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
11.4NANA0.0262731NA
21.5NANA0.0366898NA
31.8NANA0.0505787NA
41.8NANA-0.0570602NA
51.8NANA-0.0376157NA
61.7NANA-0.0334491NA
71.51.626271.63333-0.00706019-0.126273
81.11.592251.6875-0.0952546-0.492245
91.31.686691.73333-0.0466435-0.38669
101.61.831831.758330.0734954-0.231829
111.91.84851.78750.06099540.0515046
121.91.874881.845830.02905090.0251157
1321.980441.954170.02627310.0195602
142.22.149192.11250.03668980.0508102
152.22.325582.2750.0505787-0.125579
1622.342942.4-0.0570602-0.34294
172.32.429052.46667-0.0376157-0.129051
182.62.449882.48333-0.03344910.150116
193.22.472112.47917-0.007060190.727894
203.22.371412.46667-0.09525460.828588
213.12.403362.45-0.04664350.696644
222.82.506832.433330.07349540.293171
232.32.456832.395830.0609954-0.156829
241.92.345722.316670.0290509-0.445718
251.92.167942.141670.0262731-0.26794
2621.932521.895830.03668980.0674769
2721.713081.66250.05057870.286921
281.81.405441.4625-0.05706020.39456
291.61.283221.32083-0.03761570.316782
301.41.199881.23333-0.03344910.200116
310.21.147111.15417-0.00706019-0.947106
320.30.9630791.05833-0.0952546-0.663079
330.40.9200230.966667-0.0466435-0.520023
340.70.9693290.8958330.0734954-0.269329
3510.9026620.8416670.06099540.097338
361.10.8207180.7916670.02905090.279282
370.80.8512730.8250.0262731-0.0512731
380.80.9700230.9333330.0366898-0.170023
3911.083911.033330.0505787-0.083912
401.11.063771.12083-0.05706020.0362269
4111.145721.18333-0.0376157-0.145718
420.81.208221.24167-0.0334491-0.408218
431.61.317941.325-0.007060190.28206
441.51.325581.42083-0.09525460.174421
451.61.461691.50833-0.04664350.13831
461.61.665161.591670.0734954-0.065162
471.61.74851.68750.0609954-0.148495
481.91.833221.804170.02905090.0667824
4921.934611.908330.02627310.0653935
501.92.032521.995830.0366898-0.132523
5122.138082.08750.0505787-0.138079
522.12.117942.175-0.0570602-0.0179398
532.32.220722.25833-0.03761570.0792824
542.32.287382.32083-0.03344910.0126157
552.62.355442.3625-0.007060190.24456
562.62.313082.40833-0.09525460.286921
572.72.407522.45417-0.04664350.292477
582.62.5612.48750.07349540.0390046
592.62.552662.491670.06099540.047338
602.42.504052.4750.0290509-0.104051
612.52.480442.454170.02627310.0195602
622.52.465862.429170.03668980.0341435
632.52.450582.40.05057870.0494213
642.42.338772.39583-0.05706020.0612269
652.12.379052.41667-0.0376157-0.279051
662.12.412382.44583-0.0334491-0.312384
672.32.480442.4875-0.00706019-0.18044
682.32.433912.52917-0.0952546-0.133912
692.32.520022.56667-0.0466435-0.220023
702.92.665162.591670.07349540.234838
712.82.690162.629170.06099540.109838
722.92.720722.691670.02905090.179282
7332.784612.758330.02627310.215394
7432.849192.81250.03668980.15081
752.92.888082.83750.05057870.0119213
762.62.730442.7875-0.0570602-0.13044
772.82.641552.67917-0.03761570.158449
782.92.541552.575-0.03344910.358449
793.1NANA-0.00706019NA
802.8NANA-0.0952546NA
812.4NANA-0.0466435NA
821.6NANA0.0734954NA
831.5NANA0.0609954NA
841.7NANA0.0290509NA



Parameters (Session):
par1 = grey ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')