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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 17 Dec 2014 12:06:12 +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/2014/Dec/17/t1418817987m3b1m79l64zht00.htm/, Retrieved Thu, 16 May 2024 08:32:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270097, Retrieved Thu, 16 May 2024 08:32:33 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [class decomp] [2014-12-17 12:06:12] [ec1b40d1a9751af99658fe8fca4f9eca] [Current]
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Dataseries X:
12.9
12.2
12.8
7.4
6.7
12.6
14.8
13.3
11.1
8.2
11.4
6.4
10.6
12
6.3
11.3
11.9
9.3
9.6
10
6.4
13.8
10.8
13.8
11.7
10.9
16.1
13.4
9.9
11.5
8.3
11.7
9
9.7
10.8
10.3
10.4
12.7
9.3
11.8
5.9
11.4
13
10.8
12.3
11.3
11.8
7.9
12.7
12.3
11.6
6.7
10.9
12.1
13.3
10.1
5.7
14.3
8
13.3
9.3
12.5
7.6
15.9
9.2
9.1
11.1
13
14.5
12.2
12.3
11.4
8.8
14.6
12.6
13
12.6
13.2
9.9
7.7
10.5
13.4
10.9
4.3
10.3
11.8
11.2
11.4
8.6
13.2
12.6
5.6
9.9
8.8
7.7
9
7.3
11.4
13.6
7.9
10.7
10.3
8.3
9.6
14.2
8.5
13.5
4.9
6.4
9.6
11.6
11.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270097&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270097&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
112.9NANA-0.655744NA
212.2NANA1.53488NA
312.8NANA0.300506NA
47.4NANA0.670298NA
56.7NANA-0.804702NA
612.6NANA0.492173NA
714.811.188210.72080.4673473.61182
813.310.11510.6167-0.5016353.18497
911.110.053510.3375-0.2840421.04654
108.210.666910.22920.437717-2.46688
1111.410.240610.6083-0.3677231.15939
126.49.3984210.6875-1.28908-2.99842
1310.69.6775910.3333-0.6557440.92241
141211.5149.979171.534880.485952
156.39.946349.645830.300506-3.64634
1611.310.35369.683330.6702980.946369
1711.99.086969.89167-0.8047022.81304
189.310.667210.1750.492173-1.36717
199.610.996510.52920.467347-1.39651
201010.027510.5292-0.501635-0.0275318
216.410.607610.8917-0.284042-4.20762
2213.811.825211.38750.4377171.97478
2310.811.023911.3917-0.367723-0.223944
2413.810.110911.4-1.289083.68908
2511.710.781811.4375-0.6557440.918244
2610.912.98911.45421.53488-2.08905
2716.111.933811.63330.3005064.16616
2813.412.241111.57080.6702981.15887
299.910.595311.4-0.804702-0.695298
3011.511.746311.25420.492173-0.24634
318.311.521511.05420.467347-3.22151
3211.710.573411.075-0.5016351.12663
33910.582610.8667-0.284042-1.58262
349.710.954410.51670.437717-1.25438
3510.89.9156110.2833-0.3677230.884389
3610.38.8234210.1125-1.289081.47658
3710.49.6484210.3042-0.6557440.751577
3812.711.997410.46251.534880.702619
399.310.86310.56250.300506-1.56301
4011.811.43710.76670.6702980.363035
415.910.070310.875-0.804702-4.1703
4211.411.308810.81670.4921730.0911603
431311.279810.81250.4673471.72015
4410.810.3910.8917-0.5016350.409968
4512.310.686810.9708-0.2840421.61321
4611.311.291910.85420.4377170.00811632
4711.810.482310.85-0.3677231.31772
487.99.7984211.0875-1.28908-1.89842
4912.710.473411.1292-0.6557442.22658
5012.312.647411.11251.53488-0.347381
5111.611.108810.80830.3005060.49116
526.711.328610.65830.670298-4.62863
5310.99.820310.625-0.8047021.0797
5412.111.183810.69170.4921730.91616
5513.311.242310.7750.4673472.05765
5610.110.1410.6417-0.501635-0.0400318
575.710.199310.4833-0.284042-4.49929
5814.311.137710.70.4377173.16228
59810.644811.0125-0.367723-2.64478
6013.39.5275910.8167-1.289083.77241
619.39.9442610.6-0.655744-0.644256
6212.512.16410.62921.534880.335952
637.611.417211.11670.300506-3.81717
6415.912.066111.39580.6702983.83387
659.210.682811.4875-0.804702-1.4828
669.112.079711.58750.492173-2.97967
6711.111.954811.48750.467347-0.854847
681311.052511.5542-0.5016351.94747
6914.511.56611.85-0.2840422.93404
7012.212.375211.93750.437717-0.175217
7112.311.590611.9583-0.3677230.709389
7211.410.981812.2708-1.289080.418244
738.811.735912.3917-0.655744-2.93592
7414.613.655712.12081.534880.944285
7512.612.033811.73330.3005060.56616
761312.28711.61670.6702980.713035
7712.610.803611.6083-0.8047021.79637
7813.211.746311.25420.4921731.45366
799.911.488211.02080.467347-1.58818
807.710.46510.9667-0.501635-2.76503
8110.510.507610.7917-0.284042-0.00762442
8213.411.104410.66670.4377172.29562
8310.910.065610.4333-0.3677230.834389
844.38.9775910.2667-1.28908-4.67759
8510.39.7234210.3792-0.6557440.576577
8611.811.93910.40421.53488-0.139048
8711.210.592210.29170.3005060.607827
8811.410.745310.0750.6702980.654702
898.68.94539.75-0.804702-0.345298
9013.210.30479.81250.4921732.89533
9112.610.35079.883330.4673472.24932
925.69.240039.74167-0.501635-3.64003
939.99.540969.825-0.2840420.359042
948.810.21699.779170.437717-1.41688
957.79.353119.72083-0.367723-1.65311
9698.398429.6875-1.289080.601577
977.38.731769.3875-0.655744-1.43176
9811.410.90999.3751.534880.490119
9913.610.02139.720830.3005063.57866
1007.910.55789.88750.670298-2.6578
10110.79.3119610.1167-0.8047021.38804
10210.310.679710.18750.492173-0.379673
1038.310.44659.979170.467347-2.14651
1049.69.365039.86667-0.5016350.234968
10514.29.424299.70833-0.2840424.77571
1068.510.19619.758330.437717-1.69605
10713.5NANA-0.367723NA
1084.9NANA-1.28908NA
1096.4NANA-0.655744NA
1109.6NANA1.53488NA
11111.6NANA0.300506NA
11211.1NANA0.670298NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 12.9 & NA & NA & -0.655744 & NA \tabularnewline
2 & 12.2 & NA & NA & 1.53488 & NA \tabularnewline
3 & 12.8 & NA & NA & 0.300506 & NA \tabularnewline
4 & 7.4 & NA & NA & 0.670298 & NA \tabularnewline
5 & 6.7 & NA & NA & -0.804702 & NA \tabularnewline
6 & 12.6 & NA & NA & 0.492173 & NA \tabularnewline
7 & 14.8 & 11.1882 & 10.7208 & 0.467347 & 3.61182 \tabularnewline
8 & 13.3 & 10.115 & 10.6167 & -0.501635 & 3.18497 \tabularnewline
9 & 11.1 & 10.0535 & 10.3375 & -0.284042 & 1.04654 \tabularnewline
10 & 8.2 & 10.6669 & 10.2292 & 0.437717 & -2.46688 \tabularnewline
11 & 11.4 & 10.2406 & 10.6083 & -0.367723 & 1.15939 \tabularnewline
12 & 6.4 & 9.39842 & 10.6875 & -1.28908 & -2.99842 \tabularnewline
13 & 10.6 & 9.67759 & 10.3333 & -0.655744 & 0.92241 \tabularnewline
14 & 12 & 11.514 & 9.97917 & 1.53488 & 0.485952 \tabularnewline
15 & 6.3 & 9.94634 & 9.64583 & 0.300506 & -3.64634 \tabularnewline
16 & 11.3 & 10.3536 & 9.68333 & 0.670298 & 0.946369 \tabularnewline
17 & 11.9 & 9.08696 & 9.89167 & -0.804702 & 2.81304 \tabularnewline
18 & 9.3 & 10.6672 & 10.175 & 0.492173 & -1.36717 \tabularnewline
19 & 9.6 & 10.9965 & 10.5292 & 0.467347 & -1.39651 \tabularnewline
20 & 10 & 10.0275 & 10.5292 & -0.501635 & -0.0275318 \tabularnewline
21 & 6.4 & 10.6076 & 10.8917 & -0.284042 & -4.20762 \tabularnewline
22 & 13.8 & 11.8252 & 11.3875 & 0.437717 & 1.97478 \tabularnewline
23 & 10.8 & 11.0239 & 11.3917 & -0.367723 & -0.223944 \tabularnewline
24 & 13.8 & 10.1109 & 11.4 & -1.28908 & 3.68908 \tabularnewline
25 & 11.7 & 10.7818 & 11.4375 & -0.655744 & 0.918244 \tabularnewline
26 & 10.9 & 12.989 & 11.4542 & 1.53488 & -2.08905 \tabularnewline
27 & 16.1 & 11.9338 & 11.6333 & 0.300506 & 4.16616 \tabularnewline
28 & 13.4 & 12.2411 & 11.5708 & 0.670298 & 1.15887 \tabularnewline
29 & 9.9 & 10.5953 & 11.4 & -0.804702 & -0.695298 \tabularnewline
30 & 11.5 & 11.7463 & 11.2542 & 0.492173 & -0.24634 \tabularnewline
31 & 8.3 & 11.5215 & 11.0542 & 0.467347 & -3.22151 \tabularnewline
32 & 11.7 & 10.5734 & 11.075 & -0.501635 & 1.12663 \tabularnewline
33 & 9 & 10.5826 & 10.8667 & -0.284042 & -1.58262 \tabularnewline
34 & 9.7 & 10.9544 & 10.5167 & 0.437717 & -1.25438 \tabularnewline
35 & 10.8 & 9.91561 & 10.2833 & -0.367723 & 0.884389 \tabularnewline
36 & 10.3 & 8.82342 & 10.1125 & -1.28908 & 1.47658 \tabularnewline
37 & 10.4 & 9.64842 & 10.3042 & -0.655744 & 0.751577 \tabularnewline
38 & 12.7 & 11.9974 & 10.4625 & 1.53488 & 0.702619 \tabularnewline
39 & 9.3 & 10.863 & 10.5625 & 0.300506 & -1.56301 \tabularnewline
40 & 11.8 & 11.437 & 10.7667 & 0.670298 & 0.363035 \tabularnewline
41 & 5.9 & 10.0703 & 10.875 & -0.804702 & -4.1703 \tabularnewline
42 & 11.4 & 11.3088 & 10.8167 & 0.492173 & 0.0911603 \tabularnewline
43 & 13 & 11.2798 & 10.8125 & 0.467347 & 1.72015 \tabularnewline
44 & 10.8 & 10.39 & 10.8917 & -0.501635 & 0.409968 \tabularnewline
45 & 12.3 & 10.6868 & 10.9708 & -0.284042 & 1.61321 \tabularnewline
46 & 11.3 & 11.2919 & 10.8542 & 0.437717 & 0.00811632 \tabularnewline
47 & 11.8 & 10.4823 & 10.85 & -0.367723 & 1.31772 \tabularnewline
48 & 7.9 & 9.79842 & 11.0875 & -1.28908 & -1.89842 \tabularnewline
49 & 12.7 & 10.4734 & 11.1292 & -0.655744 & 2.22658 \tabularnewline
50 & 12.3 & 12.6474 & 11.1125 & 1.53488 & -0.347381 \tabularnewline
51 & 11.6 & 11.1088 & 10.8083 & 0.300506 & 0.49116 \tabularnewline
52 & 6.7 & 11.3286 & 10.6583 & 0.670298 & -4.62863 \tabularnewline
53 & 10.9 & 9.8203 & 10.625 & -0.804702 & 1.0797 \tabularnewline
54 & 12.1 & 11.1838 & 10.6917 & 0.492173 & 0.91616 \tabularnewline
55 & 13.3 & 11.2423 & 10.775 & 0.467347 & 2.05765 \tabularnewline
56 & 10.1 & 10.14 & 10.6417 & -0.501635 & -0.0400318 \tabularnewline
57 & 5.7 & 10.1993 & 10.4833 & -0.284042 & -4.49929 \tabularnewline
58 & 14.3 & 11.1377 & 10.7 & 0.437717 & 3.16228 \tabularnewline
59 & 8 & 10.6448 & 11.0125 & -0.367723 & -2.64478 \tabularnewline
60 & 13.3 & 9.52759 & 10.8167 & -1.28908 & 3.77241 \tabularnewline
61 & 9.3 & 9.94426 & 10.6 & -0.655744 & -0.644256 \tabularnewline
62 & 12.5 & 12.164 & 10.6292 & 1.53488 & 0.335952 \tabularnewline
63 & 7.6 & 11.4172 & 11.1167 & 0.300506 & -3.81717 \tabularnewline
64 & 15.9 & 12.0661 & 11.3958 & 0.670298 & 3.83387 \tabularnewline
65 & 9.2 & 10.6828 & 11.4875 & -0.804702 & -1.4828 \tabularnewline
66 & 9.1 & 12.0797 & 11.5875 & 0.492173 & -2.97967 \tabularnewline
67 & 11.1 & 11.9548 & 11.4875 & 0.467347 & -0.854847 \tabularnewline
68 & 13 & 11.0525 & 11.5542 & -0.501635 & 1.94747 \tabularnewline
69 & 14.5 & 11.566 & 11.85 & -0.284042 & 2.93404 \tabularnewline
70 & 12.2 & 12.3752 & 11.9375 & 0.437717 & -0.175217 \tabularnewline
71 & 12.3 & 11.5906 & 11.9583 & -0.367723 & 0.709389 \tabularnewline
72 & 11.4 & 10.9818 & 12.2708 & -1.28908 & 0.418244 \tabularnewline
73 & 8.8 & 11.7359 & 12.3917 & -0.655744 & -2.93592 \tabularnewline
74 & 14.6 & 13.6557 & 12.1208 & 1.53488 & 0.944285 \tabularnewline
75 & 12.6 & 12.0338 & 11.7333 & 0.300506 & 0.56616 \tabularnewline
76 & 13 & 12.287 & 11.6167 & 0.670298 & 0.713035 \tabularnewline
77 & 12.6 & 10.8036 & 11.6083 & -0.804702 & 1.79637 \tabularnewline
78 & 13.2 & 11.7463 & 11.2542 & 0.492173 & 1.45366 \tabularnewline
79 & 9.9 & 11.4882 & 11.0208 & 0.467347 & -1.58818 \tabularnewline
80 & 7.7 & 10.465 & 10.9667 & -0.501635 & -2.76503 \tabularnewline
81 & 10.5 & 10.5076 & 10.7917 & -0.284042 & -0.00762442 \tabularnewline
82 & 13.4 & 11.1044 & 10.6667 & 0.437717 & 2.29562 \tabularnewline
83 & 10.9 & 10.0656 & 10.4333 & -0.367723 & 0.834389 \tabularnewline
84 & 4.3 & 8.97759 & 10.2667 & -1.28908 & -4.67759 \tabularnewline
85 & 10.3 & 9.72342 & 10.3792 & -0.655744 & 0.576577 \tabularnewline
86 & 11.8 & 11.939 & 10.4042 & 1.53488 & -0.139048 \tabularnewline
87 & 11.2 & 10.5922 & 10.2917 & 0.300506 & 0.607827 \tabularnewline
88 & 11.4 & 10.7453 & 10.075 & 0.670298 & 0.654702 \tabularnewline
89 & 8.6 & 8.9453 & 9.75 & -0.804702 & -0.345298 \tabularnewline
90 & 13.2 & 10.3047 & 9.8125 & 0.492173 & 2.89533 \tabularnewline
91 & 12.6 & 10.3507 & 9.88333 & 0.467347 & 2.24932 \tabularnewline
92 & 5.6 & 9.24003 & 9.74167 & -0.501635 & -3.64003 \tabularnewline
93 & 9.9 & 9.54096 & 9.825 & -0.284042 & 0.359042 \tabularnewline
94 & 8.8 & 10.2169 & 9.77917 & 0.437717 & -1.41688 \tabularnewline
95 & 7.7 & 9.35311 & 9.72083 & -0.367723 & -1.65311 \tabularnewline
96 & 9 & 8.39842 & 9.6875 & -1.28908 & 0.601577 \tabularnewline
97 & 7.3 & 8.73176 & 9.3875 & -0.655744 & -1.43176 \tabularnewline
98 & 11.4 & 10.9099 & 9.375 & 1.53488 & 0.490119 \tabularnewline
99 & 13.6 & 10.0213 & 9.72083 & 0.300506 & 3.57866 \tabularnewline
100 & 7.9 & 10.5578 & 9.8875 & 0.670298 & -2.6578 \tabularnewline
101 & 10.7 & 9.31196 & 10.1167 & -0.804702 & 1.38804 \tabularnewline
102 & 10.3 & 10.6797 & 10.1875 & 0.492173 & -0.379673 \tabularnewline
103 & 8.3 & 10.4465 & 9.97917 & 0.467347 & -2.14651 \tabularnewline
104 & 9.6 & 9.36503 & 9.86667 & -0.501635 & 0.234968 \tabularnewline
105 & 14.2 & 9.42429 & 9.70833 & -0.284042 & 4.77571 \tabularnewline
106 & 8.5 & 10.1961 & 9.75833 & 0.437717 & -1.69605 \tabularnewline
107 & 13.5 & NA & NA & -0.367723 & NA \tabularnewline
108 & 4.9 & NA & NA & -1.28908 & NA \tabularnewline
109 & 6.4 & NA & NA & -0.655744 & NA \tabularnewline
110 & 9.6 & NA & NA & 1.53488 & NA \tabularnewline
111 & 11.6 & NA & NA & 0.300506 & NA \tabularnewline
112 & 11.1 & NA & NA & 0.670298 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270097&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]12.9[/C][C]NA[/C][C]NA[/C][C]-0.655744[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]12.2[/C][C]NA[/C][C]NA[/C][C]1.53488[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]12.8[/C][C]NA[/C][C]NA[/C][C]0.300506[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]7.4[/C][C]NA[/C][C]NA[/C][C]0.670298[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]6.7[/C][C]NA[/C][C]NA[/C][C]-0.804702[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]12.6[/C][C]NA[/C][C]NA[/C][C]0.492173[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]14.8[/C][C]11.1882[/C][C]10.7208[/C][C]0.467347[/C][C]3.61182[/C][/ROW]
[ROW][C]8[/C][C]13.3[/C][C]10.115[/C][C]10.6167[/C][C]-0.501635[/C][C]3.18497[/C][/ROW]
[ROW][C]9[/C][C]11.1[/C][C]10.0535[/C][C]10.3375[/C][C]-0.284042[/C][C]1.04654[/C][/ROW]
[ROW][C]10[/C][C]8.2[/C][C]10.6669[/C][C]10.2292[/C][C]0.437717[/C][C]-2.46688[/C][/ROW]
[ROW][C]11[/C][C]11.4[/C][C]10.2406[/C][C]10.6083[/C][C]-0.367723[/C][C]1.15939[/C][/ROW]
[ROW][C]12[/C][C]6.4[/C][C]9.39842[/C][C]10.6875[/C][C]-1.28908[/C][C]-2.99842[/C][/ROW]
[ROW][C]13[/C][C]10.6[/C][C]9.67759[/C][C]10.3333[/C][C]-0.655744[/C][C]0.92241[/C][/ROW]
[ROW][C]14[/C][C]12[/C][C]11.514[/C][C]9.97917[/C][C]1.53488[/C][C]0.485952[/C][/ROW]
[ROW][C]15[/C][C]6.3[/C][C]9.94634[/C][C]9.64583[/C][C]0.300506[/C][C]-3.64634[/C][/ROW]
[ROW][C]16[/C][C]11.3[/C][C]10.3536[/C][C]9.68333[/C][C]0.670298[/C][C]0.946369[/C][/ROW]
[ROW][C]17[/C][C]11.9[/C][C]9.08696[/C][C]9.89167[/C][C]-0.804702[/C][C]2.81304[/C][/ROW]
[ROW][C]18[/C][C]9.3[/C][C]10.6672[/C][C]10.175[/C][C]0.492173[/C][C]-1.36717[/C][/ROW]
[ROW][C]19[/C][C]9.6[/C][C]10.9965[/C][C]10.5292[/C][C]0.467347[/C][C]-1.39651[/C][/ROW]
[ROW][C]20[/C][C]10[/C][C]10.0275[/C][C]10.5292[/C][C]-0.501635[/C][C]-0.0275318[/C][/ROW]
[ROW][C]21[/C][C]6.4[/C][C]10.6076[/C][C]10.8917[/C][C]-0.284042[/C][C]-4.20762[/C][/ROW]
[ROW][C]22[/C][C]13.8[/C][C]11.8252[/C][C]11.3875[/C][C]0.437717[/C][C]1.97478[/C][/ROW]
[ROW][C]23[/C][C]10.8[/C][C]11.0239[/C][C]11.3917[/C][C]-0.367723[/C][C]-0.223944[/C][/ROW]
[ROW][C]24[/C][C]13.8[/C][C]10.1109[/C][C]11.4[/C][C]-1.28908[/C][C]3.68908[/C][/ROW]
[ROW][C]25[/C][C]11.7[/C][C]10.7818[/C][C]11.4375[/C][C]-0.655744[/C][C]0.918244[/C][/ROW]
[ROW][C]26[/C][C]10.9[/C][C]12.989[/C][C]11.4542[/C][C]1.53488[/C][C]-2.08905[/C][/ROW]
[ROW][C]27[/C][C]16.1[/C][C]11.9338[/C][C]11.6333[/C][C]0.300506[/C][C]4.16616[/C][/ROW]
[ROW][C]28[/C][C]13.4[/C][C]12.2411[/C][C]11.5708[/C][C]0.670298[/C][C]1.15887[/C][/ROW]
[ROW][C]29[/C][C]9.9[/C][C]10.5953[/C][C]11.4[/C][C]-0.804702[/C][C]-0.695298[/C][/ROW]
[ROW][C]30[/C][C]11.5[/C][C]11.7463[/C][C]11.2542[/C][C]0.492173[/C][C]-0.24634[/C][/ROW]
[ROW][C]31[/C][C]8.3[/C][C]11.5215[/C][C]11.0542[/C][C]0.467347[/C][C]-3.22151[/C][/ROW]
[ROW][C]32[/C][C]11.7[/C][C]10.5734[/C][C]11.075[/C][C]-0.501635[/C][C]1.12663[/C][/ROW]
[ROW][C]33[/C][C]9[/C][C]10.5826[/C][C]10.8667[/C][C]-0.284042[/C][C]-1.58262[/C][/ROW]
[ROW][C]34[/C][C]9.7[/C][C]10.9544[/C][C]10.5167[/C][C]0.437717[/C][C]-1.25438[/C][/ROW]
[ROW][C]35[/C][C]10.8[/C][C]9.91561[/C][C]10.2833[/C][C]-0.367723[/C][C]0.884389[/C][/ROW]
[ROW][C]36[/C][C]10.3[/C][C]8.82342[/C][C]10.1125[/C][C]-1.28908[/C][C]1.47658[/C][/ROW]
[ROW][C]37[/C][C]10.4[/C][C]9.64842[/C][C]10.3042[/C][C]-0.655744[/C][C]0.751577[/C][/ROW]
[ROW][C]38[/C][C]12.7[/C][C]11.9974[/C][C]10.4625[/C][C]1.53488[/C][C]0.702619[/C][/ROW]
[ROW][C]39[/C][C]9.3[/C][C]10.863[/C][C]10.5625[/C][C]0.300506[/C][C]-1.56301[/C][/ROW]
[ROW][C]40[/C][C]11.8[/C][C]11.437[/C][C]10.7667[/C][C]0.670298[/C][C]0.363035[/C][/ROW]
[ROW][C]41[/C][C]5.9[/C][C]10.0703[/C][C]10.875[/C][C]-0.804702[/C][C]-4.1703[/C][/ROW]
[ROW][C]42[/C][C]11.4[/C][C]11.3088[/C][C]10.8167[/C][C]0.492173[/C][C]0.0911603[/C][/ROW]
[ROW][C]43[/C][C]13[/C][C]11.2798[/C][C]10.8125[/C][C]0.467347[/C][C]1.72015[/C][/ROW]
[ROW][C]44[/C][C]10.8[/C][C]10.39[/C][C]10.8917[/C][C]-0.501635[/C][C]0.409968[/C][/ROW]
[ROW][C]45[/C][C]12.3[/C][C]10.6868[/C][C]10.9708[/C][C]-0.284042[/C][C]1.61321[/C][/ROW]
[ROW][C]46[/C][C]11.3[/C][C]11.2919[/C][C]10.8542[/C][C]0.437717[/C][C]0.00811632[/C][/ROW]
[ROW][C]47[/C][C]11.8[/C][C]10.4823[/C][C]10.85[/C][C]-0.367723[/C][C]1.31772[/C][/ROW]
[ROW][C]48[/C][C]7.9[/C][C]9.79842[/C][C]11.0875[/C][C]-1.28908[/C][C]-1.89842[/C][/ROW]
[ROW][C]49[/C][C]12.7[/C][C]10.4734[/C][C]11.1292[/C][C]-0.655744[/C][C]2.22658[/C][/ROW]
[ROW][C]50[/C][C]12.3[/C][C]12.6474[/C][C]11.1125[/C][C]1.53488[/C][C]-0.347381[/C][/ROW]
[ROW][C]51[/C][C]11.6[/C][C]11.1088[/C][C]10.8083[/C][C]0.300506[/C][C]0.49116[/C][/ROW]
[ROW][C]52[/C][C]6.7[/C][C]11.3286[/C][C]10.6583[/C][C]0.670298[/C][C]-4.62863[/C][/ROW]
[ROW][C]53[/C][C]10.9[/C][C]9.8203[/C][C]10.625[/C][C]-0.804702[/C][C]1.0797[/C][/ROW]
[ROW][C]54[/C][C]12.1[/C][C]11.1838[/C][C]10.6917[/C][C]0.492173[/C][C]0.91616[/C][/ROW]
[ROW][C]55[/C][C]13.3[/C][C]11.2423[/C][C]10.775[/C][C]0.467347[/C][C]2.05765[/C][/ROW]
[ROW][C]56[/C][C]10.1[/C][C]10.14[/C][C]10.6417[/C][C]-0.501635[/C][C]-0.0400318[/C][/ROW]
[ROW][C]57[/C][C]5.7[/C][C]10.1993[/C][C]10.4833[/C][C]-0.284042[/C][C]-4.49929[/C][/ROW]
[ROW][C]58[/C][C]14.3[/C][C]11.1377[/C][C]10.7[/C][C]0.437717[/C][C]3.16228[/C][/ROW]
[ROW][C]59[/C][C]8[/C][C]10.6448[/C][C]11.0125[/C][C]-0.367723[/C][C]-2.64478[/C][/ROW]
[ROW][C]60[/C][C]13.3[/C][C]9.52759[/C][C]10.8167[/C][C]-1.28908[/C][C]3.77241[/C][/ROW]
[ROW][C]61[/C][C]9.3[/C][C]9.94426[/C][C]10.6[/C][C]-0.655744[/C][C]-0.644256[/C][/ROW]
[ROW][C]62[/C][C]12.5[/C][C]12.164[/C][C]10.6292[/C][C]1.53488[/C][C]0.335952[/C][/ROW]
[ROW][C]63[/C][C]7.6[/C][C]11.4172[/C][C]11.1167[/C][C]0.300506[/C][C]-3.81717[/C][/ROW]
[ROW][C]64[/C][C]15.9[/C][C]12.0661[/C][C]11.3958[/C][C]0.670298[/C][C]3.83387[/C][/ROW]
[ROW][C]65[/C][C]9.2[/C][C]10.6828[/C][C]11.4875[/C][C]-0.804702[/C][C]-1.4828[/C][/ROW]
[ROW][C]66[/C][C]9.1[/C][C]12.0797[/C][C]11.5875[/C][C]0.492173[/C][C]-2.97967[/C][/ROW]
[ROW][C]67[/C][C]11.1[/C][C]11.9548[/C][C]11.4875[/C][C]0.467347[/C][C]-0.854847[/C][/ROW]
[ROW][C]68[/C][C]13[/C][C]11.0525[/C][C]11.5542[/C][C]-0.501635[/C][C]1.94747[/C][/ROW]
[ROW][C]69[/C][C]14.5[/C][C]11.566[/C][C]11.85[/C][C]-0.284042[/C][C]2.93404[/C][/ROW]
[ROW][C]70[/C][C]12.2[/C][C]12.3752[/C][C]11.9375[/C][C]0.437717[/C][C]-0.175217[/C][/ROW]
[ROW][C]71[/C][C]12.3[/C][C]11.5906[/C][C]11.9583[/C][C]-0.367723[/C][C]0.709389[/C][/ROW]
[ROW][C]72[/C][C]11.4[/C][C]10.9818[/C][C]12.2708[/C][C]-1.28908[/C][C]0.418244[/C][/ROW]
[ROW][C]73[/C][C]8.8[/C][C]11.7359[/C][C]12.3917[/C][C]-0.655744[/C][C]-2.93592[/C][/ROW]
[ROW][C]74[/C][C]14.6[/C][C]13.6557[/C][C]12.1208[/C][C]1.53488[/C][C]0.944285[/C][/ROW]
[ROW][C]75[/C][C]12.6[/C][C]12.0338[/C][C]11.7333[/C][C]0.300506[/C][C]0.56616[/C][/ROW]
[ROW][C]76[/C][C]13[/C][C]12.287[/C][C]11.6167[/C][C]0.670298[/C][C]0.713035[/C][/ROW]
[ROW][C]77[/C][C]12.6[/C][C]10.8036[/C][C]11.6083[/C][C]-0.804702[/C][C]1.79637[/C][/ROW]
[ROW][C]78[/C][C]13.2[/C][C]11.7463[/C][C]11.2542[/C][C]0.492173[/C][C]1.45366[/C][/ROW]
[ROW][C]79[/C][C]9.9[/C][C]11.4882[/C][C]11.0208[/C][C]0.467347[/C][C]-1.58818[/C][/ROW]
[ROW][C]80[/C][C]7.7[/C][C]10.465[/C][C]10.9667[/C][C]-0.501635[/C][C]-2.76503[/C][/ROW]
[ROW][C]81[/C][C]10.5[/C][C]10.5076[/C][C]10.7917[/C][C]-0.284042[/C][C]-0.00762442[/C][/ROW]
[ROW][C]82[/C][C]13.4[/C][C]11.1044[/C][C]10.6667[/C][C]0.437717[/C][C]2.29562[/C][/ROW]
[ROW][C]83[/C][C]10.9[/C][C]10.0656[/C][C]10.4333[/C][C]-0.367723[/C][C]0.834389[/C][/ROW]
[ROW][C]84[/C][C]4.3[/C][C]8.97759[/C][C]10.2667[/C][C]-1.28908[/C][C]-4.67759[/C][/ROW]
[ROW][C]85[/C][C]10.3[/C][C]9.72342[/C][C]10.3792[/C][C]-0.655744[/C][C]0.576577[/C][/ROW]
[ROW][C]86[/C][C]11.8[/C][C]11.939[/C][C]10.4042[/C][C]1.53488[/C][C]-0.139048[/C][/ROW]
[ROW][C]87[/C][C]11.2[/C][C]10.5922[/C][C]10.2917[/C][C]0.300506[/C][C]0.607827[/C][/ROW]
[ROW][C]88[/C][C]11.4[/C][C]10.7453[/C][C]10.075[/C][C]0.670298[/C][C]0.654702[/C][/ROW]
[ROW][C]89[/C][C]8.6[/C][C]8.9453[/C][C]9.75[/C][C]-0.804702[/C][C]-0.345298[/C][/ROW]
[ROW][C]90[/C][C]13.2[/C][C]10.3047[/C][C]9.8125[/C][C]0.492173[/C][C]2.89533[/C][/ROW]
[ROW][C]91[/C][C]12.6[/C][C]10.3507[/C][C]9.88333[/C][C]0.467347[/C][C]2.24932[/C][/ROW]
[ROW][C]92[/C][C]5.6[/C][C]9.24003[/C][C]9.74167[/C][C]-0.501635[/C][C]-3.64003[/C][/ROW]
[ROW][C]93[/C][C]9.9[/C][C]9.54096[/C][C]9.825[/C][C]-0.284042[/C][C]0.359042[/C][/ROW]
[ROW][C]94[/C][C]8.8[/C][C]10.2169[/C][C]9.77917[/C][C]0.437717[/C][C]-1.41688[/C][/ROW]
[ROW][C]95[/C][C]7.7[/C][C]9.35311[/C][C]9.72083[/C][C]-0.367723[/C][C]-1.65311[/C][/ROW]
[ROW][C]96[/C][C]9[/C][C]8.39842[/C][C]9.6875[/C][C]-1.28908[/C][C]0.601577[/C][/ROW]
[ROW][C]97[/C][C]7.3[/C][C]8.73176[/C][C]9.3875[/C][C]-0.655744[/C][C]-1.43176[/C][/ROW]
[ROW][C]98[/C][C]11.4[/C][C]10.9099[/C][C]9.375[/C][C]1.53488[/C][C]0.490119[/C][/ROW]
[ROW][C]99[/C][C]13.6[/C][C]10.0213[/C][C]9.72083[/C][C]0.300506[/C][C]3.57866[/C][/ROW]
[ROW][C]100[/C][C]7.9[/C][C]10.5578[/C][C]9.8875[/C][C]0.670298[/C][C]-2.6578[/C][/ROW]
[ROW][C]101[/C][C]10.7[/C][C]9.31196[/C][C]10.1167[/C][C]-0.804702[/C][C]1.38804[/C][/ROW]
[ROW][C]102[/C][C]10.3[/C][C]10.6797[/C][C]10.1875[/C][C]0.492173[/C][C]-0.379673[/C][/ROW]
[ROW][C]103[/C][C]8.3[/C][C]10.4465[/C][C]9.97917[/C][C]0.467347[/C][C]-2.14651[/C][/ROW]
[ROW][C]104[/C][C]9.6[/C][C]9.36503[/C][C]9.86667[/C][C]-0.501635[/C][C]0.234968[/C][/ROW]
[ROW][C]105[/C][C]14.2[/C][C]9.42429[/C][C]9.70833[/C][C]-0.284042[/C][C]4.77571[/C][/ROW]
[ROW][C]106[/C][C]8.5[/C][C]10.1961[/C][C]9.75833[/C][C]0.437717[/C][C]-1.69605[/C][/ROW]
[ROW][C]107[/C][C]13.5[/C][C]NA[/C][C]NA[/C][C]-0.367723[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]4.9[/C][C]NA[/C][C]NA[/C][C]-1.28908[/C][C]NA[/C][/ROW]
[ROW][C]109[/C][C]6.4[/C][C]NA[/C][C]NA[/C][C]-0.655744[/C][C]NA[/C][/ROW]
[ROW][C]110[/C][C]9.6[/C][C]NA[/C][C]NA[/C][C]1.53488[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]11.6[/C][C]NA[/C][C]NA[/C][C]0.300506[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]11.1[/C][C]NA[/C][C]NA[/C][C]0.670298[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270097&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
112.9NANA-0.655744NA
212.2NANA1.53488NA
312.8NANA0.300506NA
47.4NANA0.670298NA
56.7NANA-0.804702NA
612.6NANA0.492173NA
714.811.188210.72080.4673473.61182
813.310.11510.6167-0.5016353.18497
911.110.053510.3375-0.2840421.04654
108.210.666910.22920.437717-2.46688
1111.410.240610.6083-0.3677231.15939
126.49.3984210.6875-1.28908-2.99842
1310.69.6775910.3333-0.6557440.92241
141211.5149.979171.534880.485952
156.39.946349.645830.300506-3.64634
1611.310.35369.683330.6702980.946369
1711.99.086969.89167-0.8047022.81304
189.310.667210.1750.492173-1.36717
199.610.996510.52920.467347-1.39651
201010.027510.5292-0.501635-0.0275318
216.410.607610.8917-0.284042-4.20762
2213.811.825211.38750.4377171.97478
2310.811.023911.3917-0.367723-0.223944
2413.810.110911.4-1.289083.68908
2511.710.781811.4375-0.6557440.918244
2610.912.98911.45421.53488-2.08905
2716.111.933811.63330.3005064.16616
2813.412.241111.57080.6702981.15887
299.910.595311.4-0.804702-0.695298
3011.511.746311.25420.492173-0.24634
318.311.521511.05420.467347-3.22151
3211.710.573411.075-0.5016351.12663
33910.582610.8667-0.284042-1.58262
349.710.954410.51670.437717-1.25438
3510.89.9156110.2833-0.3677230.884389
3610.38.8234210.1125-1.289081.47658
3710.49.6484210.3042-0.6557440.751577
3812.711.997410.46251.534880.702619
399.310.86310.56250.300506-1.56301
4011.811.43710.76670.6702980.363035
415.910.070310.875-0.804702-4.1703
4211.411.308810.81670.4921730.0911603
431311.279810.81250.4673471.72015
4410.810.3910.8917-0.5016350.409968
4512.310.686810.9708-0.2840421.61321
4611.311.291910.85420.4377170.00811632
4711.810.482310.85-0.3677231.31772
487.99.7984211.0875-1.28908-1.89842
4912.710.473411.1292-0.6557442.22658
5012.312.647411.11251.53488-0.347381
5111.611.108810.80830.3005060.49116
526.711.328610.65830.670298-4.62863
5310.99.820310.625-0.8047021.0797
5412.111.183810.69170.4921730.91616
5513.311.242310.7750.4673472.05765
5610.110.1410.6417-0.501635-0.0400318
575.710.199310.4833-0.284042-4.49929
5814.311.137710.70.4377173.16228
59810.644811.0125-0.367723-2.64478
6013.39.5275910.8167-1.289083.77241
619.39.9442610.6-0.655744-0.644256
6212.512.16410.62921.534880.335952
637.611.417211.11670.300506-3.81717
6415.912.066111.39580.6702983.83387
659.210.682811.4875-0.804702-1.4828
669.112.079711.58750.492173-2.97967
6711.111.954811.48750.467347-0.854847
681311.052511.5542-0.5016351.94747
6914.511.56611.85-0.2840422.93404
7012.212.375211.93750.437717-0.175217
7112.311.590611.9583-0.3677230.709389
7211.410.981812.2708-1.289080.418244
738.811.735912.3917-0.655744-2.93592
7414.613.655712.12081.534880.944285
7512.612.033811.73330.3005060.56616
761312.28711.61670.6702980.713035
7712.610.803611.6083-0.8047021.79637
7813.211.746311.25420.4921731.45366
799.911.488211.02080.467347-1.58818
807.710.46510.9667-0.501635-2.76503
8110.510.507610.7917-0.284042-0.00762442
8213.411.104410.66670.4377172.29562
8310.910.065610.4333-0.3677230.834389
844.38.9775910.2667-1.28908-4.67759
8510.39.7234210.3792-0.6557440.576577
8611.811.93910.40421.53488-0.139048
8711.210.592210.29170.3005060.607827
8811.410.745310.0750.6702980.654702
898.68.94539.75-0.804702-0.345298
9013.210.30479.81250.4921732.89533
9112.610.35079.883330.4673472.24932
925.69.240039.74167-0.501635-3.64003
939.99.540969.825-0.2840420.359042
948.810.21699.779170.437717-1.41688
957.79.353119.72083-0.367723-1.65311
9698.398429.6875-1.289080.601577
977.38.731769.3875-0.655744-1.43176
9811.410.90999.3751.534880.490119
9913.610.02139.720830.3005063.57866
1007.910.55789.88750.670298-2.6578
10110.79.3119610.1167-0.8047021.38804
10210.310.679710.18750.492173-0.379673
1038.310.44659.979170.467347-2.14651
1049.69.365039.86667-0.5016350.234968
10514.29.424299.70833-0.2840424.77571
1068.510.19619.758330.437717-1.69605
10713.5NANA-0.367723NA
1084.9NANA-1.28908NA
1096.4NANA-0.655744NA
1109.6NANA1.53488NA
11111.6NANA0.300506NA
11211.1NANA0.670298NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
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')