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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 12 Jan 2010 12:26:28 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/12/t1263324508jl7mamqa75l7p8m.htm/, Retrieved Wed, 13 May 2026 11:42:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72116, Retrieved Wed, 13 May 2026 11:42:31 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W51

Estimated Impact

457

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [Classical Decompo...] [2010-01-12 19:26:28] [a00bf033610db033bc2faa6c748d42a9] [Current]
-    D    [Classical Decomposition] [] [2010-06-05 13:12:50] [74be16979710d4c4e7c6647856088456] 
-   PD    [Classical Decomposition] [] [2010-06-05 13:24:48] [74be16979710d4c4e7c6647856088456] 
-   PD    [Classical Decomposition] [] [2010-06-05 13:24:48] [74be16979710d4c4e7c6647856088456] 
-    D    [Classical Decomposition] [] [2010-06-05 13:39:11] [74be16979710d4c4e7c6647856088456] 
-    D    [Classical Decomposition] [OPGAVE 9 oef 1 st...] [2010-06-06 13:06:44] [74be16979710d4c4e7c6647856088456] 
-   PD    [Classical Decomposition] [OPGAVE 9 oef é S...] [2010-06-06 13:32:18] [74be16979710d4c4e7c6647856088456] 
-   PD    [Classical Decomposition] [opgave 9 oef 2 st...] [2010-06-06 14:41:25] [74be16979710d4c4e7c6647856088456] 

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Dataseries X:

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72116&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72116&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72116&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	41086	NA	NA	1.32718577010684	NA
2	39690	NA	NA	1.20084764006351	NA
3	43129	NA	NA	1.32843407985928	NA
4	37863	NA	NA	1.22345091771013	NA
5	35953	NA	NA	1.01798223782367	NA
6	29133	NA	NA	1.05339554978969	NA
7	24693	26076.9299732887	29668.3333333333	0.878948260433304	0.94692895311272
8	22205	22272.1981471665	29138.75	0.764349814153542	0.996982868654342
9	21725	23606.10620385	28311.8333333333	0.833789388554255	0.92031272808799
10	27192	28306.4131639731	27554.7083333333	1.02728044955317	0.960630364662682
11	21790	21346.1448649119	26986.4166666667	0.790995897253687	1.02079322228426
12	13253	14776.5987209382	26704.375	0.553339994698928	0.896891108047804
13	37702	35460.4682980066	26718.5416666667	1.32718577010684	1.06321212915621
14	30364	32151.4446797421	26773.9583333333	1.20084764006351	0.944405463034502
15	32609	35511.5337685382	26731.875	1.32843407985928	0.918265040663781
16	30212	32725.272963883	26748.3333333333	1.22345091771013	0.923200855599989
17	29965	27316.3657060541	26833.8333333333	1.01798223782367	1.09696144510757
18	28352	28317.3791694465	26882	1.05339554978969	1.00122260009820
19	25814	23622.7965616264	26876.2083333333	0.878948260433304	1.0927580031711
20	22414	20673.9426857715	27047.75	0.764349814153542	1.08416668947361
21	20506	22808.7603598205	27355.5416666667	0.833789388554255	0.899040529888816
22	28806	28400.4949318113	27646.2916666667	1.02728044955317	1.01427809864449
23	22228	21917.1120700795	27708.25	0.790995897253687	1.01418471233466
24	13971	15160.0863930976	27397.4166666667	0.553339994698928	0.921564669074773
25	36845	35951.3611347248	27088.4166666667	1.32718577010684	1.02485688544382
26	35338	32123.9252546573	26751.0416666667	1.20084764006351	1.10005236657300
27	35022	35305.2390262201	26576.5833333333	1.32843407985928	0.99197742221743
28	34777	32343.4033461928	26436.2083333333	1.22345091771013	1.07524244210663
29	26887	26527.1325602547	26058.5416666667	1.01798223782367	1.01356601354963
30	23970	27130.5974081647	25755.375	1.05339554978969	0.883504319473128
31	22780	22352.4233425468	25430.875	0.878948260433304	1.01912887255671
32	17351	19005.0167144761	24864.2916666667	0.764349814153542	0.912969468044915
33	21382	20251.2156341038	24288.1666666667	0.833789388554255	1.05583785123456
34	24561	24341.5814655706	23695.1666666667	1.02728044955317	1.00901414457149
35	17409	18308.9842847568	23146.75	0.790995897253687	0.950844663430834
36	11514	12701.5737408172	22954.375	0.553339994698928	0.906501842602318
37	31514	30398.2499743766	22904.2916666667	1.32718577010684	1.03670441642410
38	27071	27487.7026929638	22890.25	1.20084764006351	0.984840395808325
39	29462	30414.8303668981	22895.25	1.32843407985928	0.968672178821844
40	26105	28018.1984893580	22900.9583333333	1.22345091771013	0.931715863527603
41	22397	23357.3055353781	22944.7083333333	1.01798223782367	0.958886287892942
42	23843	24359.8598718491	23125.0833333333	1.05339554978969	0.978782313421826
43	21705	20345.8577096659	23147.9583333333	0.878948260433304	1.06680191662249
44	18089	17655.7800529505	23099.0833333333	0.764349814153542	1.02453700407177
45	20764	19582.4470620343	23486.0833333333	0.833789388554255	1.06033734876049
46	25316	24679.1715033050	24023.7916666667	1.02728044955317	1.02580428992966
47	17704	19207.4237913874	24282.5833333333	0.790995897253687	0.921726942263774
48	15548	13454.0008544422	24314.1666666667	0.553339994698928	1.15564137153049
49	28029	32091.0754241478	24179.7916666667	1.32718577010684	0.873420402075675
50	29383	28823.4455512611	24002.5833333333	1.20084764006351	1.01941317000925
51	36438	31833.2658556679	23963	1.32843407985928	1.14465164099750
52	32034	29168.0894206408	23840.8333333333	1.22345091771013	1.09825499840010
53	22679	24224.2022427381	23796.2916666667	1.01798223782367	0.936212461105861
54	24319	25054.7936943416	23784.7916666667	1.05339554978969	0.970632618120188
55	18004	20904.6124433922	23783.6666666667	0.878948260433304	0.861245337542286
56	17537	18112.8612418143	23697.0833333333	0.764349814153542	0.968207052760668
57	20366	19371.5678291791	23233.1666666667	0.833789388554255	1.05133462503345
58	22782	23315.0714763545	22695.9166666667	1.02728044955317	0.97713618519698
59	19169	17760.3627136866	22453.1666666667	0.790995897253687	1.07931354269178
60	13807	12480.7449712661	22555.2916666667	0.553339994698928	1.10626409174991
61	29743	30083.8728450825	22667.4166666667	1.32718577010684	0.988669249905494
62	25591	27278.1047444544	22715.7083333333	1.20084764006351	0.938151687580225
63	29096	30204.6056737604	22737	1.32843407985928	0.963296800304747
64	26482	27630.0586857145	22583.7083333333	1.22345091771013	0.958448923370978
65	22405	22833.4264262381	22430.0833333333	1.01798223782367	0.981236875349299
66	27044	23461.0062275098	22271.7916666667	1.05339554978969	1.15272123189196
67	17970	NA	NA	0.878948260433304	NA
68	18730	NA	NA	0.764349814153542	NA
69	19684	NA	NA	0.833789388554255	NA
70	19785	NA	NA	1.02728044955317	NA
71	18479	NA	NA	0.790995897253687	NA
72	10698	NA	NA	0.553339994698928	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 41086 & NA & NA & 1.32718577010684 & NA \tabularnewline
2 & 39690 & NA & NA & 1.20084764006351 & NA \tabularnewline
3 & 43129 & NA & NA & 1.32843407985928 & NA \tabularnewline
4 & 37863 & NA & NA & 1.22345091771013 & NA \tabularnewline
5 & 35953 & NA & NA & 1.01798223782367 & NA \tabularnewline
6 & 29133 & NA & NA & 1.05339554978969 & NA \tabularnewline
7 & 24693 & 26076.9299732887 & 29668.3333333333 & 0.878948260433304 & 0.94692895311272 \tabularnewline
8 & 22205 & 22272.1981471665 & 29138.75 & 0.764349814153542 & 0.996982868654342 \tabularnewline
9 & 21725 & 23606.10620385 & 28311.8333333333 & 0.833789388554255 & 0.92031272808799 \tabularnewline
10 & 27192 & 28306.4131639731 & 27554.7083333333 & 1.02728044955317 & 0.960630364662682 \tabularnewline
11 & 21790 & 21346.1448649119 & 26986.4166666667 & 0.790995897253687 & 1.02079322228426 \tabularnewline
12 & 13253 & 14776.5987209382 & 26704.375 & 0.553339994698928 & 0.896891108047804 \tabularnewline
13 & 37702 & 35460.4682980066 & 26718.5416666667 & 1.32718577010684 & 1.06321212915621 \tabularnewline
14 & 30364 & 32151.4446797421 & 26773.9583333333 & 1.20084764006351 & 0.944405463034502 \tabularnewline
15 & 32609 & 35511.5337685382 & 26731.875 & 1.32843407985928 & 0.918265040663781 \tabularnewline
16 & 30212 & 32725.272963883 & 26748.3333333333 & 1.22345091771013 & 0.923200855599989 \tabularnewline
17 & 29965 & 27316.3657060541 & 26833.8333333333 & 1.01798223782367 & 1.09696144510757 \tabularnewline
18 & 28352 & 28317.3791694465 & 26882 & 1.05339554978969 & 1.00122260009820 \tabularnewline
19 & 25814 & 23622.7965616264 & 26876.2083333333 & 0.878948260433304 & 1.0927580031711 \tabularnewline
20 & 22414 & 20673.9426857715 & 27047.75 & 0.764349814153542 & 1.08416668947361 \tabularnewline
21 & 20506 & 22808.7603598205 & 27355.5416666667 & 0.833789388554255 & 0.899040529888816 \tabularnewline
22 & 28806 & 28400.4949318113 & 27646.2916666667 & 1.02728044955317 & 1.01427809864449 \tabularnewline
23 & 22228 & 21917.1120700795 & 27708.25 & 0.790995897253687 & 1.01418471233466 \tabularnewline
24 & 13971 & 15160.0863930976 & 27397.4166666667 & 0.553339994698928 & 0.921564669074773 \tabularnewline
25 & 36845 & 35951.3611347248 & 27088.4166666667 & 1.32718577010684 & 1.02485688544382 \tabularnewline
26 & 35338 & 32123.9252546573 & 26751.0416666667 & 1.20084764006351 & 1.10005236657300 \tabularnewline
27 & 35022 & 35305.2390262201 & 26576.5833333333 & 1.32843407985928 & 0.99197742221743 \tabularnewline
28 & 34777 & 32343.4033461928 & 26436.2083333333 & 1.22345091771013 & 1.07524244210663 \tabularnewline
29 & 26887 & 26527.1325602547 & 26058.5416666667 & 1.01798223782367 & 1.01356601354963 \tabularnewline
30 & 23970 & 27130.5974081647 & 25755.375 & 1.05339554978969 & 0.883504319473128 \tabularnewline
31 & 22780 & 22352.4233425468 & 25430.875 & 0.878948260433304 & 1.01912887255671 \tabularnewline
32 & 17351 & 19005.0167144761 & 24864.2916666667 & 0.764349814153542 & 0.912969468044915 \tabularnewline
33 & 21382 & 20251.2156341038 & 24288.1666666667 & 0.833789388554255 & 1.05583785123456 \tabularnewline
34 & 24561 & 24341.5814655706 & 23695.1666666667 & 1.02728044955317 & 1.00901414457149 \tabularnewline
35 & 17409 & 18308.9842847568 & 23146.75 & 0.790995897253687 & 0.950844663430834 \tabularnewline
36 & 11514 & 12701.5737408172 & 22954.375 & 0.553339994698928 & 0.906501842602318 \tabularnewline
37 & 31514 & 30398.2499743766 & 22904.2916666667 & 1.32718577010684 & 1.03670441642410 \tabularnewline
38 & 27071 & 27487.7026929638 & 22890.25 & 1.20084764006351 & 0.984840395808325 \tabularnewline
39 & 29462 & 30414.8303668981 & 22895.25 & 1.32843407985928 & 0.968672178821844 \tabularnewline
40 & 26105 & 28018.1984893580 & 22900.9583333333 & 1.22345091771013 & 0.931715863527603 \tabularnewline
41 & 22397 & 23357.3055353781 & 22944.7083333333 & 1.01798223782367 & 0.958886287892942 \tabularnewline
42 & 23843 & 24359.8598718491 & 23125.0833333333 & 1.05339554978969 & 0.978782313421826 \tabularnewline
43 & 21705 & 20345.8577096659 & 23147.9583333333 & 0.878948260433304 & 1.06680191662249 \tabularnewline
44 & 18089 & 17655.7800529505 & 23099.0833333333 & 0.764349814153542 & 1.02453700407177 \tabularnewline
45 & 20764 & 19582.4470620343 & 23486.0833333333 & 0.833789388554255 & 1.06033734876049 \tabularnewline
46 & 25316 & 24679.1715033050 & 24023.7916666667 & 1.02728044955317 & 1.02580428992966 \tabularnewline
47 & 17704 & 19207.4237913874 & 24282.5833333333 & 0.790995897253687 & 0.921726942263774 \tabularnewline
48 & 15548 & 13454.0008544422 & 24314.1666666667 & 0.553339994698928 & 1.15564137153049 \tabularnewline
49 & 28029 & 32091.0754241478 & 24179.7916666667 & 1.32718577010684 & 0.873420402075675 \tabularnewline
50 & 29383 & 28823.4455512611 & 24002.5833333333 & 1.20084764006351 & 1.01941317000925 \tabularnewline
51 & 36438 & 31833.2658556679 & 23963 & 1.32843407985928 & 1.14465164099750 \tabularnewline
52 & 32034 & 29168.0894206408 & 23840.8333333333 & 1.22345091771013 & 1.09825499840010 \tabularnewline
53 & 22679 & 24224.2022427381 & 23796.2916666667 & 1.01798223782367 & 0.936212461105861 \tabularnewline
54 & 24319 & 25054.7936943416 & 23784.7916666667 & 1.05339554978969 & 0.970632618120188 \tabularnewline
55 & 18004 & 20904.6124433922 & 23783.6666666667 & 0.878948260433304 & 0.861245337542286 \tabularnewline
56 & 17537 & 18112.8612418143 & 23697.0833333333 & 0.764349814153542 & 0.968207052760668 \tabularnewline
57 & 20366 & 19371.5678291791 & 23233.1666666667 & 0.833789388554255 & 1.05133462503345 \tabularnewline
58 & 22782 & 23315.0714763545 & 22695.9166666667 & 1.02728044955317 & 0.97713618519698 \tabularnewline
59 & 19169 & 17760.3627136866 & 22453.1666666667 & 0.790995897253687 & 1.07931354269178 \tabularnewline
60 & 13807 & 12480.7449712661 & 22555.2916666667 & 0.553339994698928 & 1.10626409174991 \tabularnewline
61 & 29743 & 30083.8728450825 & 22667.4166666667 & 1.32718577010684 & 0.988669249905494 \tabularnewline
62 & 25591 & 27278.1047444544 & 22715.7083333333 & 1.20084764006351 & 0.938151687580225 \tabularnewline
63 & 29096 & 30204.6056737604 & 22737 & 1.32843407985928 & 0.963296800304747 \tabularnewline
64 & 26482 & 27630.0586857145 & 22583.7083333333 & 1.22345091771013 & 0.958448923370978 \tabularnewline
65 & 22405 & 22833.4264262381 & 22430.0833333333 & 1.01798223782367 & 0.981236875349299 \tabularnewline
66 & 27044 & 23461.0062275098 & 22271.7916666667 & 1.05339554978969 & 1.15272123189196 \tabularnewline
67 & 17970 & NA & NA & 0.878948260433304 & NA \tabularnewline
68 & 18730 & NA & NA & 0.764349814153542 & NA \tabularnewline
69 & 19684 & NA & NA & 0.833789388554255 & NA \tabularnewline
70 & 19785 & NA & NA & 1.02728044955317 & NA \tabularnewline
71 & 18479 & NA & NA & 0.790995897253687 & NA \tabularnewline
72 & 10698 & NA & NA & 0.553339994698928 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72116&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]41086[/C][C]NA[/C][C]NA[/C][C]1.32718577010684[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]39690[/C][C]NA[/C][C]NA[/C][C]1.20084764006351[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]43129[/C][C]NA[/C][C]NA[/C][C]1.32843407985928[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]37863[/C][C]NA[/C][C]NA[/C][C]1.22345091771013[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]35953[/C][C]NA[/C][C]NA[/C][C]1.01798223782367[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]29133[/C][C]NA[/C][C]NA[/C][C]1.05339554978969[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]24693[/C][C]26076.9299732887[/C][C]29668.3333333333[/C][C]0.878948260433304[/C][C]0.94692895311272[/C][/ROW]
[ROW][C]8[/C][C]22205[/C][C]22272.1981471665[/C][C]29138.75[/C][C]0.764349814153542[/C][C]0.996982868654342[/C][/ROW]
[ROW][C]9[/C][C]21725[/C][C]23606.10620385[/C][C]28311.8333333333[/C][C]0.833789388554255[/C][C]0.92031272808799[/C][/ROW]
[ROW][C]10[/C][C]27192[/C][C]28306.4131639731[/C][C]27554.7083333333[/C][C]1.02728044955317[/C][C]0.960630364662682[/C][/ROW]
[ROW][C]11[/C][C]21790[/C][C]21346.1448649119[/C][C]26986.4166666667[/C][C]0.790995897253687[/C][C]1.02079322228426[/C][/ROW]
[ROW][C]12[/C][C]13253[/C][C]14776.5987209382[/C][C]26704.375[/C][C]0.553339994698928[/C][C]0.896891108047804[/C][/ROW]
[ROW][C]13[/C][C]37702[/C][C]35460.4682980066[/C][C]26718.5416666667[/C][C]1.32718577010684[/C][C]1.06321212915621[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]32151.4446797421[/C][C]26773.9583333333[/C][C]1.20084764006351[/C][C]0.944405463034502[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]35511.5337685382[/C][C]26731.875[/C][C]1.32843407985928[/C][C]0.918265040663781[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]32725.272963883[/C][C]26748.3333333333[/C][C]1.22345091771013[/C][C]0.923200855599989[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]27316.3657060541[/C][C]26833.8333333333[/C][C]1.01798223782367[/C][C]1.09696144510757[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]28317.3791694465[/C][C]26882[/C][C]1.05339554978969[/C][C]1.00122260009820[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]23622.7965616264[/C][C]26876.2083333333[/C][C]0.878948260433304[/C][C]1.0927580031711[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]20673.9426857715[/C][C]27047.75[/C][C]0.764349814153542[/C][C]1.08416668947361[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]22808.7603598205[/C][C]27355.5416666667[/C][C]0.833789388554255[/C][C]0.899040529888816[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]28400.4949318113[/C][C]27646.2916666667[/C][C]1.02728044955317[/C][C]1.01427809864449[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]21917.1120700795[/C][C]27708.25[/C][C]0.790995897253687[/C][C]1.01418471233466[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]15160.0863930976[/C][C]27397.4166666667[/C][C]0.553339994698928[/C][C]0.921564669074773[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]35951.3611347248[/C][C]27088.4166666667[/C][C]1.32718577010684[/C][C]1.02485688544382[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]32123.9252546573[/C][C]26751.0416666667[/C][C]1.20084764006351[/C][C]1.10005236657300[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]35305.2390262201[/C][C]26576.5833333333[/C][C]1.32843407985928[/C][C]0.99197742221743[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]32343.4033461928[/C][C]26436.2083333333[/C][C]1.22345091771013[/C][C]1.07524244210663[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]26527.1325602547[/C][C]26058.5416666667[/C][C]1.01798223782367[/C][C]1.01356601354963[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]27130.5974081647[/C][C]25755.375[/C][C]1.05339554978969[/C][C]0.883504319473128[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]22352.4233425468[/C][C]25430.875[/C][C]0.878948260433304[/C][C]1.01912887255671[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]19005.0167144761[/C][C]24864.2916666667[/C][C]0.764349814153542[/C][C]0.912969468044915[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]20251.2156341038[/C][C]24288.1666666667[/C][C]0.833789388554255[/C][C]1.05583785123456[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]24341.5814655706[/C][C]23695.1666666667[/C][C]1.02728044955317[/C][C]1.00901414457149[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]18308.9842847568[/C][C]23146.75[/C][C]0.790995897253687[/C][C]0.950844663430834[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]12701.5737408172[/C][C]22954.375[/C][C]0.553339994698928[/C][C]0.906501842602318[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]30398.2499743766[/C][C]22904.2916666667[/C][C]1.32718577010684[/C][C]1.03670441642410[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]27487.7026929638[/C][C]22890.25[/C][C]1.20084764006351[/C][C]0.984840395808325[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]30414.8303668981[/C][C]22895.25[/C][C]1.32843407985928[/C][C]0.968672178821844[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]28018.1984893580[/C][C]22900.9583333333[/C][C]1.22345091771013[/C][C]0.931715863527603[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]23357.3055353781[/C][C]22944.7083333333[/C][C]1.01798223782367[/C][C]0.958886287892942[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]24359.8598718491[/C][C]23125.0833333333[/C][C]1.05339554978969[/C][C]0.978782313421826[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]20345.8577096659[/C][C]23147.9583333333[/C][C]0.878948260433304[/C][C]1.06680191662249[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]17655.7800529505[/C][C]23099.0833333333[/C][C]0.764349814153542[/C][C]1.02453700407177[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]19582.4470620343[/C][C]23486.0833333333[/C][C]0.833789388554255[/C][C]1.06033734876049[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]24679.1715033050[/C][C]24023.7916666667[/C][C]1.02728044955317[/C][C]1.02580428992966[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]19207.4237913874[/C][C]24282.5833333333[/C][C]0.790995897253687[/C][C]0.921726942263774[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]13454.0008544422[/C][C]24314.1666666667[/C][C]0.553339994698928[/C][C]1.15564137153049[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]32091.0754241478[/C][C]24179.7916666667[/C][C]1.32718577010684[/C][C]0.873420402075675[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]28823.4455512611[/C][C]24002.5833333333[/C][C]1.20084764006351[/C][C]1.01941317000925[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]31833.2658556679[/C][C]23963[/C][C]1.32843407985928[/C][C]1.14465164099750[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]29168.0894206408[/C][C]23840.8333333333[/C][C]1.22345091771013[/C][C]1.09825499840010[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]24224.2022427381[/C][C]23796.2916666667[/C][C]1.01798223782367[/C][C]0.936212461105861[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]25054.7936943416[/C][C]23784.7916666667[/C][C]1.05339554978969[/C][C]0.970632618120188[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]20904.6124433922[/C][C]23783.6666666667[/C][C]0.878948260433304[/C][C]0.861245337542286[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]18112.8612418143[/C][C]23697.0833333333[/C][C]0.764349814153542[/C][C]0.968207052760668[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]19371.5678291791[/C][C]23233.1666666667[/C][C]0.833789388554255[/C][C]1.05133462503345[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]23315.0714763545[/C][C]22695.9166666667[/C][C]1.02728044955317[/C][C]0.97713618519698[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]17760.3627136866[/C][C]22453.1666666667[/C][C]0.790995897253687[/C][C]1.07931354269178[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]12480.7449712661[/C][C]22555.2916666667[/C][C]0.553339994698928[/C][C]1.10626409174991[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]30083.8728450825[/C][C]22667.4166666667[/C][C]1.32718577010684[/C][C]0.988669249905494[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]27278.1047444544[/C][C]22715.7083333333[/C][C]1.20084764006351[/C][C]0.938151687580225[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]30204.6056737604[/C][C]22737[/C][C]1.32843407985928[/C][C]0.963296800304747[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]27630.0586857145[/C][C]22583.7083333333[/C][C]1.22345091771013[/C][C]0.958448923370978[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]22833.4264262381[/C][C]22430.0833333333[/C][C]1.01798223782367[/C][C]0.981236875349299[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]23461.0062275098[/C][C]22271.7916666667[/C][C]1.05339554978969[/C][C]1.15272123189196[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]NA[/C][C]NA[/C][C]0.878948260433304[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]NA[/C][C]NA[/C][C]0.764349814153542[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]NA[/C][C]NA[/C][C]0.833789388554255[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]NA[/C][C]NA[/C][C]1.02728044955317[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]NA[/C][C]NA[/C][C]0.790995897253687[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]NA[/C][C]NA[/C][C]0.553339994698928[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72116&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72116&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
t	Observations	Fit	Trend	Seasonal	Random
1	41086	NA	NA	1.32718577010684	NA
2	39690	NA	NA	1.20084764006351	NA
3	43129	NA	NA	1.32843407985928	NA
4	37863	NA	NA	1.22345091771013	NA
5	35953	NA	NA	1.01798223782367	NA
6	29133	NA	NA	1.05339554978969	NA
7	24693	26076.9299732887	29668.3333333333	0.878948260433304	0.94692895311272
8	22205	22272.1981471665	29138.75	0.764349814153542	0.996982868654342
9	21725	23606.10620385	28311.8333333333	0.833789388554255	0.92031272808799
10	27192	28306.4131639731	27554.7083333333	1.02728044955317	0.960630364662682
11	21790	21346.1448649119	26986.4166666667	0.790995897253687	1.02079322228426
12	13253	14776.5987209382	26704.375	0.553339994698928	0.896891108047804
13	37702	35460.4682980066	26718.5416666667	1.32718577010684	1.06321212915621
14	30364	32151.4446797421	26773.9583333333	1.20084764006351	0.944405463034502
15	32609	35511.5337685382	26731.875	1.32843407985928	0.918265040663781
16	30212	32725.272963883	26748.3333333333	1.22345091771013	0.923200855599989
17	29965	27316.3657060541	26833.8333333333	1.01798223782367	1.09696144510757
18	28352	28317.3791694465	26882	1.05339554978969	1.00122260009820
19	25814	23622.7965616264	26876.2083333333	0.878948260433304	1.0927580031711
20	22414	20673.9426857715	27047.75	0.764349814153542	1.08416668947361
21	20506	22808.7603598205	27355.5416666667	0.833789388554255	0.899040529888816
22	28806	28400.4949318113	27646.2916666667	1.02728044955317	1.01427809864449
23	22228	21917.1120700795	27708.25	0.790995897253687	1.01418471233466
24	13971	15160.0863930976	27397.4166666667	0.553339994698928	0.921564669074773
25	36845	35951.3611347248	27088.4166666667	1.32718577010684	1.02485688544382
26	35338	32123.9252546573	26751.0416666667	1.20084764006351	1.10005236657300
27	35022	35305.2390262201	26576.5833333333	1.32843407985928	0.99197742221743
28	34777	32343.4033461928	26436.2083333333	1.22345091771013	1.07524244210663
29	26887	26527.1325602547	26058.5416666667	1.01798223782367	1.01356601354963
30	23970	27130.5974081647	25755.375	1.05339554978969	0.883504319473128
31	22780	22352.4233425468	25430.875	0.878948260433304	1.01912887255671
32	17351	19005.0167144761	24864.2916666667	0.764349814153542	0.912969468044915
33	21382	20251.2156341038	24288.1666666667	0.833789388554255	1.05583785123456
34	24561	24341.5814655706	23695.1666666667	1.02728044955317	1.00901414457149
35	17409	18308.9842847568	23146.75	0.790995897253687	0.950844663430834
36	11514	12701.5737408172	22954.375	0.553339994698928	0.906501842602318
37	31514	30398.2499743766	22904.2916666667	1.32718577010684	1.03670441642410
38	27071	27487.7026929638	22890.25	1.20084764006351	0.984840395808325
39	29462	30414.8303668981	22895.25	1.32843407985928	0.968672178821844
40	26105	28018.1984893580	22900.9583333333	1.22345091771013	0.931715863527603
41	22397	23357.3055353781	22944.7083333333	1.01798223782367	0.958886287892942
42	23843	24359.8598718491	23125.0833333333	1.05339554978969	0.978782313421826
43	21705	20345.8577096659	23147.9583333333	0.878948260433304	1.06680191662249
44	18089	17655.7800529505	23099.0833333333	0.764349814153542	1.02453700407177
45	20764	19582.4470620343	23486.0833333333	0.833789388554255	1.06033734876049
46	25316	24679.1715033050	24023.7916666667	1.02728044955317	1.02580428992966
47	17704	19207.4237913874	24282.5833333333	0.790995897253687	0.921726942263774
48	15548	13454.0008544422	24314.1666666667	0.553339994698928	1.15564137153049
49	28029	32091.0754241478	24179.7916666667	1.32718577010684	0.873420402075675
50	29383	28823.4455512611	24002.5833333333	1.20084764006351	1.01941317000925
51	36438	31833.2658556679	23963	1.32843407985928	1.14465164099750
52	32034	29168.0894206408	23840.8333333333	1.22345091771013	1.09825499840010
53	22679	24224.2022427381	23796.2916666667	1.01798223782367	0.936212461105861
54	24319	25054.7936943416	23784.7916666667	1.05339554978969	0.970632618120188
55	18004	20904.6124433922	23783.6666666667	0.878948260433304	0.861245337542286
56	17537	18112.8612418143	23697.0833333333	0.764349814153542	0.968207052760668
57	20366	19371.5678291791	23233.1666666667	0.833789388554255	1.05133462503345
58	22782	23315.0714763545	22695.9166666667	1.02728044955317	0.97713618519698
59	19169	17760.3627136866	22453.1666666667	0.790995897253687	1.07931354269178
60	13807	12480.7449712661	22555.2916666667	0.553339994698928	1.10626409174991
61	29743	30083.8728450825	22667.4166666667	1.32718577010684	0.988669249905494
62	25591	27278.1047444544	22715.7083333333	1.20084764006351	0.938151687580225
63	29096	30204.6056737604	22737	1.32843407985928	0.963296800304747
64	26482	27630.0586857145	22583.7083333333	1.22345091771013	0.958448923370978
65	22405	22833.4264262381	22430.0833333333	1.01798223782367	0.981236875349299
66	27044	23461.0062275098	22271.7916666667	1.05339554978969	1.15272123189196
67	17970	NA	NA	0.878948260433304	NA
68	18730	NA	NA	0.764349814153542	NA
69	19684	NA	NA	0.833789388554255	NA
70	19785	NA	NA	1.02728044955317	NA
71	18479	NA	NA	0.790995897253687	NA
72	10698	NA	NA	0.553339994698928	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; par2 = 12 ;

R code (references can be found in the software module):

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

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code