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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 02 Jun 2009 09:19:21 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/02/t1243955985iqobkk4samj4j8j.htm/, Retrieved Fri, 10 May 2024 09:50:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41267, Retrieved Fri, 10 May 2024 09:50:56 +0000

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Original text written by user:

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Estimated Impact

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

-       [Classical Decomposition] [] [2009-06-02 15:19:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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Boxplots

4,43
4,44
4,44
4,44
4,45
4,47
4,48
4,48
4,5
4,52
4,52
4,53
4,53
4,63
4,66
4,67
4,68
4,69
4,69
4,7
4,71
4,72
4,72
4,72
4,73
4,74
4,76
4,81
4,82
4,83
4,83
4,84
4,89
4,92
4,95
4,95
5,01
5,05
5,08
5,11
5,14
5,17
5,18
5,2
5,22
5,24
5,28
5,29
5,33
5,4
5,43
5,46
5,46
5,46
5,47
5,49
5,5
5,54
5,55
5,55
5,56
5,6
5,61
5,63
5,64
5,66
5,67
5,69
5,77
5,77
5,78
5,8
5,82
5,85
5,87
5,88
5,9
5,91
5,94
5,97
5,98
6
6,01
6,02

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41267&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41267&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41267&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	4.43	NA	NA	0.996710082103818	NA
2	4.44	NA	NA	1.00230434222501	NA
3	4.44	NA	NA	1.00290088638054	NA
4	4.44	NA	NA	1.00383710178960	NA
5	4.45	NA	NA	1.00242865640388	NA
6	4.47	NA	NA	1.00102635201897	NA
7	4.48	4.47386209370681	4.47916666666667	0.998815723246171	1.00137194803162
8	4.48	4.48022082423441	4.49125	0.99754429707418	0.999950711305743
9	4.5	4.50723160753278	4.50833333333333	0.999755624591373	0.998395554486109
10	4.52	4.52620673969305	4.52708333333333	0.999806366798281	0.99862871051854
11	4.52	4.54058705044099	4.54625	0.998754369082429	0.995465993667274
12	4.53	4.54727044517441	4.565	0.99611619828574	0.996202019347072
13	4.53	4.56783924710829	4.58291666666667	0.996710082103818	0.99171616051676
14	4.63	4.61143522785358	4.60083333333333	1.00230434222501	1.00402581218842
15	4.66	4.63214846897014	4.61875	1.00290088638054	1.00601265939907
16	4.67	4.65362149771297	4.63583333333333	1.00383710178960	1.00351951749730
17	4.68	4.66379932391905	4.6525	1.00242865640388	1.00347370779825
18	4.69	4.67354178098856	4.66875	1.00102635201897	1.00352157309867
19	4.69	4.67945166340831	4.685	0.998815723246171	1.00225418218852
20	4.7	4.68637997896307	4.69791666666667	0.99754429707418	1.00290629891261
21	4.71	4.70551647307673	4.70666666666667	0.999755624591373	1.00095282355272
22	4.72	4.71575336339856	4.71666666666667	0.999806366798281	1.00090052135347
23	4.72	4.72244357514475	4.72833333333333	0.998754369082429	0.999482561282974
24	4.72	4.72159077987441	4.74	0.99611619828574	0.999663083916295
25	4.73	4.73603407346331	4.75166666666667	0.996710082103818	0.998725922708809
26	4.74	4.77430968346514	4.76333333333333	1.00230434222501	0.992813687058473
27	4.76	4.7905232339444	4.77666666666667	1.00290088638054	0.993628413337374
28	4.81	4.81088931032667	4.7925	1.00383710178960	0.999815146375378
29	4.82	4.82209951590949	4.81041666666667	1.00242865640388	0.99956460543741
30	4.83	4.83454018593827	4.82958333333333	1.00102635201897	0.999060885676061
31	4.83	4.84508860417997	4.85083333333333	0.998815723246171	0.9968857939632
32	4.84	4.86344409169374	4.87541666666667	0.99754429707418	0.995179528899329
33	4.89	4.90046881987205	4.90166666666667	0.999755624591373	0.99786371054345
34	4.92	4.92654587239853	4.9275	0.999806366798281	0.998671305907207
35	4.95	4.9471633081883	4.95333333333333	0.998754369082429	1.00057339764932
36	4.95	4.96148876429489	4.98083333333333	0.99611619828574	0.99768441190927
37	5.01	4.99310221547258	5.00958333333333	0.996710082103818	1.00338422563733
38	5.05	5.05077863119554	5.03916666666667	1.00230434222501	0.999845839374006
39	5.08	5.08261811710274	5.06791666666667	1.00290088638054	0.999484888094597
40	5.11	5.11455003361802	5.095	1.00383710178960	0.999110374600284
41	5.14	5.13452311382204	5.12208333333333	1.00242865640388	1.00106667864893
42	5.17	5.15528571289768	5.15	1.00102635201897	1.00285421369867
43	5.18	5.17136840710705	5.1775	0.998815723246171	1.00166911196678
44	5.2	5.19263370972822	5.20541666666667	0.99754429707418	1.00141860386917
45	5.22	5.23330412989226	5.23458333333333	0.999755624591373	0.997457795388526
46	5.24	5.26273076323445	5.26375	0.999806366798281	0.995680804461203
47	5.28	5.28507520306119	5.29166666666667	0.998754369082429	0.999039710341634
48	5.29	5.29643283596847	5.31708333333333	0.99611619828574	0.998785439904989
49	5.33	5.32367772603702	5.34125	0.996710082103818	1.00118757638767
50	5.4	5.37778042284645	5.36541666666667	1.00230434222501	1.00413173752114
51	5.43	5.40480002685249	5.38916666666667	1.00290088638054	1.00466251721106
52	5.46	5.43410484435438	5.41333333333333	1.00383710178960	1.00476530291323
53	5.46	5.45028814058926	5.43708333333333	1.00242865640388	1.00178189834376
54	5.46	5.46476969339688	5.45916666666667	1.00102635201897	0.999127192239657
55	5.47	5.473093990171	5.47958333333333	0.998815723246171	0.99943469083912
56	5.49	5.4839997731653	5.4975	0.99754429707418	1.00109413331198
57	5.5	5.51198601024711	5.51333333333333	0.999755624591373	0.99782546431997
58	5.54	5.52684627846366	5.52791666666667	0.999806366798281	1.00237996876946
59	5.55	5.53559609063936	5.5425	0.998754369082429	1.00260205208704
60	5.55	5.53674586880491	5.55833333333333	0.99611619828574	1.00239384857264
61	5.56	5.55665870772878	5.575	0.996710082103818	1.00060131320762
62	5.6	5.60455178027486	5.59166666666667	1.00230434222501	0.999187842230153
63	5.61	5.62752759870283	5.61125	1.00290088638054	0.996885382009166
64	5.63	5.65369421037086	5.63208333333333	1.00383710178960	0.995809074652925
65	5.64	5.66497494450242	5.65125	1.00242865640388	0.995591340694867
66	5.66	5.67707069888757	5.67125	1.00102635201897	0.996993044513095
67	5.67	5.68575850457883	5.6925	0.998815723246171	0.997228425272347
68	5.69	5.6997187274076	5.71375	0.99754429707418	0.998294875962763
69	5.77	5.73359850703152	5.735	0.999755624591373	1.00634880397081
70	5.77	5.75513539888261	5.75625	0.999806366798281	1.00258284125171
71	5.78	5.77030336737373	5.7775	0.998754369082429	1.00168043723335
72	5.8	5.77622880480944	5.79875	0.99611619828574	1.00411534861132
73	5.82	5.80126797371176	5.82041666666667	0.996710082103818	1.00322895380340
74	5.85	5.85679837306815	5.84333333333333	1.00230434222501	0.998839233889386
75	5.87	5.88076007251392	5.86375	1.00290088638054	0.99817029221032
76	5.88	5.90465348581826	5.88208333333333	1.00383710178960	0.99582473622246
77	5.9	5.9155821086034	5.90125	1.00242865640388	0.99736592133837
78	5.91	5.92607600395229	5.92	1.00102635201897	0.99728724303543
79	5.94	NA	NA	0.998815723246171	NA
80	5.97	NA	NA	0.99754429707418	NA
81	5.98	NA	NA	0.999755624591373	NA
82	6	NA	NA	0.999806366798281	NA
83	6.01	NA	NA	0.998754369082429	NA
84	6.02	NA	NA	0.99611619828574	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4.43 & NA & NA & 0.996710082103818 & NA \tabularnewline
2 & 4.44 & NA & NA & 1.00230434222501 & NA \tabularnewline
3 & 4.44 & NA & NA & 1.00290088638054 & NA \tabularnewline
4 & 4.44 & NA & NA & 1.00383710178960 & NA \tabularnewline
5 & 4.45 & NA & NA & 1.00242865640388 & NA \tabularnewline
6 & 4.47 & NA & NA & 1.00102635201897 & NA \tabularnewline
7 & 4.48 & 4.47386209370681 & 4.47916666666667 & 0.998815723246171 & 1.00137194803162 \tabularnewline
8 & 4.48 & 4.48022082423441 & 4.49125 & 0.99754429707418 & 0.999950711305743 \tabularnewline
9 & 4.5 & 4.50723160753278 & 4.50833333333333 & 0.999755624591373 & 0.998395554486109 \tabularnewline
10 & 4.52 & 4.52620673969305 & 4.52708333333333 & 0.999806366798281 & 0.99862871051854 \tabularnewline
11 & 4.52 & 4.54058705044099 & 4.54625 & 0.998754369082429 & 0.995465993667274 \tabularnewline
12 & 4.53 & 4.54727044517441 & 4.565 & 0.99611619828574 & 0.996202019347072 \tabularnewline
13 & 4.53 & 4.56783924710829 & 4.58291666666667 & 0.996710082103818 & 0.99171616051676 \tabularnewline
14 & 4.63 & 4.61143522785358 & 4.60083333333333 & 1.00230434222501 & 1.00402581218842 \tabularnewline
15 & 4.66 & 4.63214846897014 & 4.61875 & 1.00290088638054 & 1.00601265939907 \tabularnewline
16 & 4.67 & 4.65362149771297 & 4.63583333333333 & 1.00383710178960 & 1.00351951749730 \tabularnewline
17 & 4.68 & 4.66379932391905 & 4.6525 & 1.00242865640388 & 1.00347370779825 \tabularnewline
18 & 4.69 & 4.67354178098856 & 4.66875 & 1.00102635201897 & 1.00352157309867 \tabularnewline
19 & 4.69 & 4.67945166340831 & 4.685 & 0.998815723246171 & 1.00225418218852 \tabularnewline
20 & 4.7 & 4.68637997896307 & 4.69791666666667 & 0.99754429707418 & 1.00290629891261 \tabularnewline
21 & 4.71 & 4.70551647307673 & 4.70666666666667 & 0.999755624591373 & 1.00095282355272 \tabularnewline
22 & 4.72 & 4.71575336339856 & 4.71666666666667 & 0.999806366798281 & 1.00090052135347 \tabularnewline
23 & 4.72 & 4.72244357514475 & 4.72833333333333 & 0.998754369082429 & 0.999482561282974 \tabularnewline
24 & 4.72 & 4.72159077987441 & 4.74 & 0.99611619828574 & 0.999663083916295 \tabularnewline
25 & 4.73 & 4.73603407346331 & 4.75166666666667 & 0.996710082103818 & 0.998725922708809 \tabularnewline
26 & 4.74 & 4.77430968346514 & 4.76333333333333 & 1.00230434222501 & 0.992813687058473 \tabularnewline
27 & 4.76 & 4.7905232339444 & 4.77666666666667 & 1.00290088638054 & 0.993628413337374 \tabularnewline
28 & 4.81 & 4.81088931032667 & 4.7925 & 1.00383710178960 & 0.999815146375378 \tabularnewline
29 & 4.82 & 4.82209951590949 & 4.81041666666667 & 1.00242865640388 & 0.99956460543741 \tabularnewline
30 & 4.83 & 4.83454018593827 & 4.82958333333333 & 1.00102635201897 & 0.999060885676061 \tabularnewline
31 & 4.83 & 4.84508860417997 & 4.85083333333333 & 0.998815723246171 & 0.9968857939632 \tabularnewline
32 & 4.84 & 4.86344409169374 & 4.87541666666667 & 0.99754429707418 & 0.995179528899329 \tabularnewline
33 & 4.89 & 4.90046881987205 & 4.90166666666667 & 0.999755624591373 & 0.99786371054345 \tabularnewline
34 & 4.92 & 4.92654587239853 & 4.9275 & 0.999806366798281 & 0.998671305907207 \tabularnewline
35 & 4.95 & 4.9471633081883 & 4.95333333333333 & 0.998754369082429 & 1.00057339764932 \tabularnewline
36 & 4.95 & 4.96148876429489 & 4.98083333333333 & 0.99611619828574 & 0.99768441190927 \tabularnewline
37 & 5.01 & 4.99310221547258 & 5.00958333333333 & 0.996710082103818 & 1.00338422563733 \tabularnewline
38 & 5.05 & 5.05077863119554 & 5.03916666666667 & 1.00230434222501 & 0.999845839374006 \tabularnewline
39 & 5.08 & 5.08261811710274 & 5.06791666666667 & 1.00290088638054 & 0.999484888094597 \tabularnewline
40 & 5.11 & 5.11455003361802 & 5.095 & 1.00383710178960 & 0.999110374600284 \tabularnewline
41 & 5.14 & 5.13452311382204 & 5.12208333333333 & 1.00242865640388 & 1.00106667864893 \tabularnewline
42 & 5.17 & 5.15528571289768 & 5.15 & 1.00102635201897 & 1.00285421369867 \tabularnewline
43 & 5.18 & 5.17136840710705 & 5.1775 & 0.998815723246171 & 1.00166911196678 \tabularnewline
44 & 5.2 & 5.19263370972822 & 5.20541666666667 & 0.99754429707418 & 1.00141860386917 \tabularnewline
45 & 5.22 & 5.23330412989226 & 5.23458333333333 & 0.999755624591373 & 0.997457795388526 \tabularnewline
46 & 5.24 & 5.26273076323445 & 5.26375 & 0.999806366798281 & 0.995680804461203 \tabularnewline
47 & 5.28 & 5.28507520306119 & 5.29166666666667 & 0.998754369082429 & 0.999039710341634 \tabularnewline
48 & 5.29 & 5.29643283596847 & 5.31708333333333 & 0.99611619828574 & 0.998785439904989 \tabularnewline
49 & 5.33 & 5.32367772603702 & 5.34125 & 0.996710082103818 & 1.00118757638767 \tabularnewline
50 & 5.4 & 5.37778042284645 & 5.36541666666667 & 1.00230434222501 & 1.00413173752114 \tabularnewline
51 & 5.43 & 5.40480002685249 & 5.38916666666667 & 1.00290088638054 & 1.00466251721106 \tabularnewline
52 & 5.46 & 5.43410484435438 & 5.41333333333333 & 1.00383710178960 & 1.00476530291323 \tabularnewline
53 & 5.46 & 5.45028814058926 & 5.43708333333333 & 1.00242865640388 & 1.00178189834376 \tabularnewline
54 & 5.46 & 5.46476969339688 & 5.45916666666667 & 1.00102635201897 & 0.999127192239657 \tabularnewline
55 & 5.47 & 5.473093990171 & 5.47958333333333 & 0.998815723246171 & 0.99943469083912 \tabularnewline
56 & 5.49 & 5.4839997731653 & 5.4975 & 0.99754429707418 & 1.00109413331198 \tabularnewline
57 & 5.5 & 5.51198601024711 & 5.51333333333333 & 0.999755624591373 & 0.99782546431997 \tabularnewline
58 & 5.54 & 5.52684627846366 & 5.52791666666667 & 0.999806366798281 & 1.00237996876946 \tabularnewline
59 & 5.55 & 5.53559609063936 & 5.5425 & 0.998754369082429 & 1.00260205208704 \tabularnewline
60 & 5.55 & 5.53674586880491 & 5.55833333333333 & 0.99611619828574 & 1.00239384857264 \tabularnewline
61 & 5.56 & 5.55665870772878 & 5.575 & 0.996710082103818 & 1.00060131320762 \tabularnewline
62 & 5.6 & 5.60455178027486 & 5.59166666666667 & 1.00230434222501 & 0.999187842230153 \tabularnewline
63 & 5.61 & 5.62752759870283 & 5.61125 & 1.00290088638054 & 0.996885382009166 \tabularnewline
64 & 5.63 & 5.65369421037086 & 5.63208333333333 & 1.00383710178960 & 0.995809074652925 \tabularnewline
65 & 5.64 & 5.66497494450242 & 5.65125 & 1.00242865640388 & 0.995591340694867 \tabularnewline
66 & 5.66 & 5.67707069888757 & 5.67125 & 1.00102635201897 & 0.996993044513095 \tabularnewline
67 & 5.67 & 5.68575850457883 & 5.6925 & 0.998815723246171 & 0.997228425272347 \tabularnewline
68 & 5.69 & 5.6997187274076 & 5.71375 & 0.99754429707418 & 0.998294875962763 \tabularnewline
69 & 5.77 & 5.73359850703152 & 5.735 & 0.999755624591373 & 1.00634880397081 \tabularnewline
70 & 5.77 & 5.75513539888261 & 5.75625 & 0.999806366798281 & 1.00258284125171 \tabularnewline
71 & 5.78 & 5.77030336737373 & 5.7775 & 0.998754369082429 & 1.00168043723335 \tabularnewline
72 & 5.8 & 5.77622880480944 & 5.79875 & 0.99611619828574 & 1.00411534861132 \tabularnewline
73 & 5.82 & 5.80126797371176 & 5.82041666666667 & 0.996710082103818 & 1.00322895380340 \tabularnewline
74 & 5.85 & 5.85679837306815 & 5.84333333333333 & 1.00230434222501 & 0.998839233889386 \tabularnewline
75 & 5.87 & 5.88076007251392 & 5.86375 & 1.00290088638054 & 0.99817029221032 \tabularnewline
76 & 5.88 & 5.90465348581826 & 5.88208333333333 & 1.00383710178960 & 0.99582473622246 \tabularnewline
77 & 5.9 & 5.9155821086034 & 5.90125 & 1.00242865640388 & 0.99736592133837 \tabularnewline
78 & 5.91 & 5.92607600395229 & 5.92 & 1.00102635201897 & 0.99728724303543 \tabularnewline
79 & 5.94 & NA & NA & 0.998815723246171 & NA \tabularnewline
80 & 5.97 & NA & NA & 0.99754429707418 & NA \tabularnewline
81 & 5.98 & NA & NA & 0.999755624591373 & NA \tabularnewline
82 & 6 & NA & NA & 0.999806366798281 & NA \tabularnewline
83 & 6.01 & NA & NA & 0.998754369082429 & NA \tabularnewline
84 & 6.02 & NA & NA & 0.99611619828574 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41267&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]4.43[/C][C]NA[/C][C]NA[/C][C]0.996710082103818[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4.44[/C][C]NA[/C][C]NA[/C][C]1.00230434222501[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4.44[/C][C]NA[/C][C]NA[/C][C]1.00290088638054[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4.44[/C][C]NA[/C][C]NA[/C][C]1.00383710178960[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4.45[/C][C]NA[/C][C]NA[/C][C]1.00242865640388[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4.47[/C][C]NA[/C][C]NA[/C][C]1.00102635201897[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4.48[/C][C]4.47386209370681[/C][C]4.47916666666667[/C][C]0.998815723246171[/C][C]1.00137194803162[/C][/ROW]
[ROW][C]8[/C][C]4.48[/C][C]4.48022082423441[/C][C]4.49125[/C][C]0.99754429707418[/C][C]0.999950711305743[/C][/ROW]
[ROW][C]9[/C][C]4.5[/C][C]4.50723160753278[/C][C]4.50833333333333[/C][C]0.999755624591373[/C][C]0.998395554486109[/C][/ROW]
[ROW][C]10[/C][C]4.52[/C][C]4.52620673969305[/C][C]4.52708333333333[/C][C]0.999806366798281[/C][C]0.99862871051854[/C][/ROW]
[ROW][C]11[/C][C]4.52[/C][C]4.54058705044099[/C][C]4.54625[/C][C]0.998754369082429[/C][C]0.995465993667274[/C][/ROW]
[ROW][C]12[/C][C]4.53[/C][C]4.54727044517441[/C][C]4.565[/C][C]0.99611619828574[/C][C]0.996202019347072[/C][/ROW]
[ROW][C]13[/C][C]4.53[/C][C]4.56783924710829[/C][C]4.58291666666667[/C][C]0.996710082103818[/C][C]0.99171616051676[/C][/ROW]
[ROW][C]14[/C][C]4.63[/C][C]4.61143522785358[/C][C]4.60083333333333[/C][C]1.00230434222501[/C][C]1.00402581218842[/C][/ROW]
[ROW][C]15[/C][C]4.66[/C][C]4.63214846897014[/C][C]4.61875[/C][C]1.00290088638054[/C][C]1.00601265939907[/C][/ROW]
[ROW][C]16[/C][C]4.67[/C][C]4.65362149771297[/C][C]4.63583333333333[/C][C]1.00383710178960[/C][C]1.00351951749730[/C][/ROW]
[ROW][C]17[/C][C]4.68[/C][C]4.66379932391905[/C][C]4.6525[/C][C]1.00242865640388[/C][C]1.00347370779825[/C][/ROW]
[ROW][C]18[/C][C]4.69[/C][C]4.67354178098856[/C][C]4.66875[/C][C]1.00102635201897[/C][C]1.00352157309867[/C][/ROW]
[ROW][C]19[/C][C]4.69[/C][C]4.67945166340831[/C][C]4.685[/C][C]0.998815723246171[/C][C]1.00225418218852[/C][/ROW]
[ROW][C]20[/C][C]4.7[/C][C]4.68637997896307[/C][C]4.69791666666667[/C][C]0.99754429707418[/C][C]1.00290629891261[/C][/ROW]
[ROW][C]21[/C][C]4.71[/C][C]4.70551647307673[/C][C]4.70666666666667[/C][C]0.999755624591373[/C][C]1.00095282355272[/C][/ROW]
[ROW][C]22[/C][C]4.72[/C][C]4.71575336339856[/C][C]4.71666666666667[/C][C]0.999806366798281[/C][C]1.00090052135347[/C][/ROW]
[ROW][C]23[/C][C]4.72[/C][C]4.72244357514475[/C][C]4.72833333333333[/C][C]0.998754369082429[/C][C]0.999482561282974[/C][/ROW]
[ROW][C]24[/C][C]4.72[/C][C]4.72159077987441[/C][C]4.74[/C][C]0.99611619828574[/C][C]0.999663083916295[/C][/ROW]
[ROW][C]25[/C][C]4.73[/C][C]4.73603407346331[/C][C]4.75166666666667[/C][C]0.996710082103818[/C][C]0.998725922708809[/C][/ROW]
[ROW][C]26[/C][C]4.74[/C][C]4.77430968346514[/C][C]4.76333333333333[/C][C]1.00230434222501[/C][C]0.992813687058473[/C][/ROW]
[ROW][C]27[/C][C]4.76[/C][C]4.7905232339444[/C][C]4.77666666666667[/C][C]1.00290088638054[/C][C]0.993628413337374[/C][/ROW]
[ROW][C]28[/C][C]4.81[/C][C]4.81088931032667[/C][C]4.7925[/C][C]1.00383710178960[/C][C]0.999815146375378[/C][/ROW]
[ROW][C]29[/C][C]4.82[/C][C]4.82209951590949[/C][C]4.81041666666667[/C][C]1.00242865640388[/C][C]0.99956460543741[/C][/ROW]
[ROW][C]30[/C][C]4.83[/C][C]4.83454018593827[/C][C]4.82958333333333[/C][C]1.00102635201897[/C][C]0.999060885676061[/C][/ROW]
[ROW][C]31[/C][C]4.83[/C][C]4.84508860417997[/C][C]4.85083333333333[/C][C]0.998815723246171[/C][C]0.9968857939632[/C][/ROW]
[ROW][C]32[/C][C]4.84[/C][C]4.86344409169374[/C][C]4.87541666666667[/C][C]0.99754429707418[/C][C]0.995179528899329[/C][/ROW]
[ROW][C]33[/C][C]4.89[/C][C]4.90046881987205[/C][C]4.90166666666667[/C][C]0.999755624591373[/C][C]0.99786371054345[/C][/ROW]
[ROW][C]34[/C][C]4.92[/C][C]4.92654587239853[/C][C]4.9275[/C][C]0.999806366798281[/C][C]0.998671305907207[/C][/ROW]
[ROW][C]35[/C][C]4.95[/C][C]4.9471633081883[/C][C]4.95333333333333[/C][C]0.998754369082429[/C][C]1.00057339764932[/C][/ROW]
[ROW][C]36[/C][C]4.95[/C][C]4.96148876429489[/C][C]4.98083333333333[/C][C]0.99611619828574[/C][C]0.99768441190927[/C][/ROW]
[ROW][C]37[/C][C]5.01[/C][C]4.99310221547258[/C][C]5.00958333333333[/C][C]0.996710082103818[/C][C]1.00338422563733[/C][/ROW]
[ROW][C]38[/C][C]5.05[/C][C]5.05077863119554[/C][C]5.03916666666667[/C][C]1.00230434222501[/C][C]0.999845839374006[/C][/ROW]
[ROW][C]39[/C][C]5.08[/C][C]5.08261811710274[/C][C]5.06791666666667[/C][C]1.00290088638054[/C][C]0.999484888094597[/C][/ROW]
[ROW][C]40[/C][C]5.11[/C][C]5.11455003361802[/C][C]5.095[/C][C]1.00383710178960[/C][C]0.999110374600284[/C][/ROW]
[ROW][C]41[/C][C]5.14[/C][C]5.13452311382204[/C][C]5.12208333333333[/C][C]1.00242865640388[/C][C]1.00106667864893[/C][/ROW]
[ROW][C]42[/C][C]5.17[/C][C]5.15528571289768[/C][C]5.15[/C][C]1.00102635201897[/C][C]1.00285421369867[/C][/ROW]
[ROW][C]43[/C][C]5.18[/C][C]5.17136840710705[/C][C]5.1775[/C][C]0.998815723246171[/C][C]1.00166911196678[/C][/ROW]
[ROW][C]44[/C][C]5.2[/C][C]5.19263370972822[/C][C]5.20541666666667[/C][C]0.99754429707418[/C][C]1.00141860386917[/C][/ROW]
[ROW][C]45[/C][C]5.22[/C][C]5.23330412989226[/C][C]5.23458333333333[/C][C]0.999755624591373[/C][C]0.997457795388526[/C][/ROW]
[ROW][C]46[/C][C]5.24[/C][C]5.26273076323445[/C][C]5.26375[/C][C]0.999806366798281[/C][C]0.995680804461203[/C][/ROW]
[ROW][C]47[/C][C]5.28[/C][C]5.28507520306119[/C][C]5.29166666666667[/C][C]0.998754369082429[/C][C]0.999039710341634[/C][/ROW]
[ROW][C]48[/C][C]5.29[/C][C]5.29643283596847[/C][C]5.31708333333333[/C][C]0.99611619828574[/C][C]0.998785439904989[/C][/ROW]
[ROW][C]49[/C][C]5.33[/C][C]5.32367772603702[/C][C]5.34125[/C][C]0.996710082103818[/C][C]1.00118757638767[/C][/ROW]
[ROW][C]50[/C][C]5.4[/C][C]5.37778042284645[/C][C]5.36541666666667[/C][C]1.00230434222501[/C][C]1.00413173752114[/C][/ROW]
[ROW][C]51[/C][C]5.43[/C][C]5.40480002685249[/C][C]5.38916666666667[/C][C]1.00290088638054[/C][C]1.00466251721106[/C][/ROW]
[ROW][C]52[/C][C]5.46[/C][C]5.43410484435438[/C][C]5.41333333333333[/C][C]1.00383710178960[/C][C]1.00476530291323[/C][/ROW]
[ROW][C]53[/C][C]5.46[/C][C]5.45028814058926[/C][C]5.43708333333333[/C][C]1.00242865640388[/C][C]1.00178189834376[/C][/ROW]
[ROW][C]54[/C][C]5.46[/C][C]5.46476969339688[/C][C]5.45916666666667[/C][C]1.00102635201897[/C][C]0.999127192239657[/C][/ROW]
[ROW][C]55[/C][C]5.47[/C][C]5.473093990171[/C][C]5.47958333333333[/C][C]0.998815723246171[/C][C]0.99943469083912[/C][/ROW]
[ROW][C]56[/C][C]5.49[/C][C]5.4839997731653[/C][C]5.4975[/C][C]0.99754429707418[/C][C]1.00109413331198[/C][/ROW]
[ROW][C]57[/C][C]5.5[/C][C]5.51198601024711[/C][C]5.51333333333333[/C][C]0.999755624591373[/C][C]0.99782546431997[/C][/ROW]
[ROW][C]58[/C][C]5.54[/C][C]5.52684627846366[/C][C]5.52791666666667[/C][C]0.999806366798281[/C][C]1.00237996876946[/C][/ROW]
[ROW][C]59[/C][C]5.55[/C][C]5.53559609063936[/C][C]5.5425[/C][C]0.998754369082429[/C][C]1.00260205208704[/C][/ROW]
[ROW][C]60[/C][C]5.55[/C][C]5.53674586880491[/C][C]5.55833333333333[/C][C]0.99611619828574[/C][C]1.00239384857264[/C][/ROW]
[ROW][C]61[/C][C]5.56[/C][C]5.55665870772878[/C][C]5.575[/C][C]0.996710082103818[/C][C]1.00060131320762[/C][/ROW]
[ROW][C]62[/C][C]5.6[/C][C]5.60455178027486[/C][C]5.59166666666667[/C][C]1.00230434222501[/C][C]0.999187842230153[/C][/ROW]
[ROW][C]63[/C][C]5.61[/C][C]5.62752759870283[/C][C]5.61125[/C][C]1.00290088638054[/C][C]0.996885382009166[/C][/ROW]
[ROW][C]64[/C][C]5.63[/C][C]5.65369421037086[/C][C]5.63208333333333[/C][C]1.00383710178960[/C][C]0.995809074652925[/C][/ROW]
[ROW][C]65[/C][C]5.64[/C][C]5.66497494450242[/C][C]5.65125[/C][C]1.00242865640388[/C][C]0.995591340694867[/C][/ROW]
[ROW][C]66[/C][C]5.66[/C][C]5.67707069888757[/C][C]5.67125[/C][C]1.00102635201897[/C][C]0.996993044513095[/C][/ROW]
[ROW][C]67[/C][C]5.67[/C][C]5.68575850457883[/C][C]5.6925[/C][C]0.998815723246171[/C][C]0.997228425272347[/C][/ROW]
[ROW][C]68[/C][C]5.69[/C][C]5.6997187274076[/C][C]5.71375[/C][C]0.99754429707418[/C][C]0.998294875962763[/C][/ROW]
[ROW][C]69[/C][C]5.77[/C][C]5.73359850703152[/C][C]5.735[/C][C]0.999755624591373[/C][C]1.00634880397081[/C][/ROW]
[ROW][C]70[/C][C]5.77[/C][C]5.75513539888261[/C][C]5.75625[/C][C]0.999806366798281[/C][C]1.00258284125171[/C][/ROW]
[ROW][C]71[/C][C]5.78[/C][C]5.77030336737373[/C][C]5.7775[/C][C]0.998754369082429[/C][C]1.00168043723335[/C][/ROW]
[ROW][C]72[/C][C]5.8[/C][C]5.77622880480944[/C][C]5.79875[/C][C]0.99611619828574[/C][C]1.00411534861132[/C][/ROW]
[ROW][C]73[/C][C]5.82[/C][C]5.80126797371176[/C][C]5.82041666666667[/C][C]0.996710082103818[/C][C]1.00322895380340[/C][/ROW]
[ROW][C]74[/C][C]5.85[/C][C]5.85679837306815[/C][C]5.84333333333333[/C][C]1.00230434222501[/C][C]0.998839233889386[/C][/ROW]
[ROW][C]75[/C][C]5.87[/C][C]5.88076007251392[/C][C]5.86375[/C][C]1.00290088638054[/C][C]0.99817029221032[/C][/ROW]
[ROW][C]76[/C][C]5.88[/C][C]5.90465348581826[/C][C]5.88208333333333[/C][C]1.00383710178960[/C][C]0.99582473622246[/C][/ROW]
[ROW][C]77[/C][C]5.9[/C][C]5.9155821086034[/C][C]5.90125[/C][C]1.00242865640388[/C][C]0.99736592133837[/C][/ROW]
[ROW][C]78[/C][C]5.91[/C][C]5.92607600395229[/C][C]5.92[/C][C]1.00102635201897[/C][C]0.99728724303543[/C][/ROW]
[ROW][C]79[/C][C]5.94[/C][C]NA[/C][C]NA[/C][C]0.998815723246171[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]5.97[/C][C]NA[/C][C]NA[/C][C]0.99754429707418[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]5.98[/C][C]NA[/C][C]NA[/C][C]0.999755624591373[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]6[/C][C]NA[/C][C]NA[/C][C]0.999806366798281[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]6.01[/C][C]NA[/C][C]NA[/C][C]0.998754369082429[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]6.02[/C][C]NA[/C][C]NA[/C][C]0.99611619828574[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41267&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41267&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	4.43	NA	NA	0.996710082103818	NA
2	4.44	NA	NA	1.00230434222501	NA
3	4.44	NA	NA	1.00290088638054	NA
4	4.44	NA	NA	1.00383710178960	NA
5	4.45	NA	NA	1.00242865640388	NA
6	4.47	NA	NA	1.00102635201897	NA
7	4.48	4.47386209370681	4.47916666666667	0.998815723246171	1.00137194803162
8	4.48	4.48022082423441	4.49125	0.99754429707418	0.999950711305743
9	4.5	4.50723160753278	4.50833333333333	0.999755624591373	0.998395554486109
10	4.52	4.52620673969305	4.52708333333333	0.999806366798281	0.99862871051854
11	4.52	4.54058705044099	4.54625	0.998754369082429	0.995465993667274
12	4.53	4.54727044517441	4.565	0.99611619828574	0.996202019347072
13	4.53	4.56783924710829	4.58291666666667	0.996710082103818	0.99171616051676
14	4.63	4.61143522785358	4.60083333333333	1.00230434222501	1.00402581218842
15	4.66	4.63214846897014	4.61875	1.00290088638054	1.00601265939907
16	4.67	4.65362149771297	4.63583333333333	1.00383710178960	1.00351951749730
17	4.68	4.66379932391905	4.6525	1.00242865640388	1.00347370779825
18	4.69	4.67354178098856	4.66875	1.00102635201897	1.00352157309867
19	4.69	4.67945166340831	4.685	0.998815723246171	1.00225418218852
20	4.7	4.68637997896307	4.69791666666667	0.99754429707418	1.00290629891261
21	4.71	4.70551647307673	4.70666666666667	0.999755624591373	1.00095282355272
22	4.72	4.71575336339856	4.71666666666667	0.999806366798281	1.00090052135347
23	4.72	4.72244357514475	4.72833333333333	0.998754369082429	0.999482561282974
24	4.72	4.72159077987441	4.74	0.99611619828574	0.999663083916295
25	4.73	4.73603407346331	4.75166666666667	0.996710082103818	0.998725922708809
26	4.74	4.77430968346514	4.76333333333333	1.00230434222501	0.992813687058473
27	4.76	4.7905232339444	4.77666666666667	1.00290088638054	0.993628413337374
28	4.81	4.81088931032667	4.7925	1.00383710178960	0.999815146375378
29	4.82	4.82209951590949	4.81041666666667	1.00242865640388	0.99956460543741
30	4.83	4.83454018593827	4.82958333333333	1.00102635201897	0.999060885676061
31	4.83	4.84508860417997	4.85083333333333	0.998815723246171	0.9968857939632
32	4.84	4.86344409169374	4.87541666666667	0.99754429707418	0.995179528899329
33	4.89	4.90046881987205	4.90166666666667	0.999755624591373	0.99786371054345
34	4.92	4.92654587239853	4.9275	0.999806366798281	0.998671305907207
35	4.95	4.9471633081883	4.95333333333333	0.998754369082429	1.00057339764932
36	4.95	4.96148876429489	4.98083333333333	0.99611619828574	0.99768441190927
37	5.01	4.99310221547258	5.00958333333333	0.996710082103818	1.00338422563733
38	5.05	5.05077863119554	5.03916666666667	1.00230434222501	0.999845839374006
39	5.08	5.08261811710274	5.06791666666667	1.00290088638054	0.999484888094597
40	5.11	5.11455003361802	5.095	1.00383710178960	0.999110374600284
41	5.14	5.13452311382204	5.12208333333333	1.00242865640388	1.00106667864893
42	5.17	5.15528571289768	5.15	1.00102635201897	1.00285421369867
43	5.18	5.17136840710705	5.1775	0.998815723246171	1.00166911196678
44	5.2	5.19263370972822	5.20541666666667	0.99754429707418	1.00141860386917
45	5.22	5.23330412989226	5.23458333333333	0.999755624591373	0.997457795388526
46	5.24	5.26273076323445	5.26375	0.999806366798281	0.995680804461203
47	5.28	5.28507520306119	5.29166666666667	0.998754369082429	0.999039710341634
48	5.29	5.29643283596847	5.31708333333333	0.99611619828574	0.998785439904989
49	5.33	5.32367772603702	5.34125	0.996710082103818	1.00118757638767
50	5.4	5.37778042284645	5.36541666666667	1.00230434222501	1.00413173752114
51	5.43	5.40480002685249	5.38916666666667	1.00290088638054	1.00466251721106
52	5.46	5.43410484435438	5.41333333333333	1.00383710178960	1.00476530291323
53	5.46	5.45028814058926	5.43708333333333	1.00242865640388	1.00178189834376
54	5.46	5.46476969339688	5.45916666666667	1.00102635201897	0.999127192239657
55	5.47	5.473093990171	5.47958333333333	0.998815723246171	0.99943469083912
56	5.49	5.4839997731653	5.4975	0.99754429707418	1.00109413331198
57	5.5	5.51198601024711	5.51333333333333	0.999755624591373	0.99782546431997
58	5.54	5.52684627846366	5.52791666666667	0.999806366798281	1.00237996876946
59	5.55	5.53559609063936	5.5425	0.998754369082429	1.00260205208704
60	5.55	5.53674586880491	5.55833333333333	0.99611619828574	1.00239384857264
61	5.56	5.55665870772878	5.575	0.996710082103818	1.00060131320762
62	5.6	5.60455178027486	5.59166666666667	1.00230434222501	0.999187842230153
63	5.61	5.62752759870283	5.61125	1.00290088638054	0.996885382009166
64	5.63	5.65369421037086	5.63208333333333	1.00383710178960	0.995809074652925
65	5.64	5.66497494450242	5.65125	1.00242865640388	0.995591340694867
66	5.66	5.67707069888757	5.67125	1.00102635201897	0.996993044513095
67	5.67	5.68575850457883	5.6925	0.998815723246171	0.997228425272347
68	5.69	5.6997187274076	5.71375	0.99754429707418	0.998294875962763
69	5.77	5.73359850703152	5.735	0.999755624591373	1.00634880397081
70	5.77	5.75513539888261	5.75625	0.999806366798281	1.00258284125171
71	5.78	5.77030336737373	5.7775	0.998754369082429	1.00168043723335
72	5.8	5.77622880480944	5.79875	0.99611619828574	1.00411534861132
73	5.82	5.80126797371176	5.82041666666667	0.996710082103818	1.00322895380340
74	5.85	5.85679837306815	5.84333333333333	1.00230434222501	0.998839233889386
75	5.87	5.88076007251392	5.86375	1.00290088638054	0.99817029221032
76	5.88	5.90465348581826	5.88208333333333	1.00383710178960	0.99582473622246
77	5.9	5.9155821086034	5.90125	1.00242865640388	0.99736592133837
78	5.91	5.92607600395229	5.92	1.00102635201897	0.99728724303543
79	5.94	NA	NA	0.998815723246171	NA
80	5.97	NA	NA	0.99754429707418	NA
81	5.98	NA	NA	0.999755624591373	NA
82	6	NA	NA	0.999806366798281	NA
83	6.01	NA	NA	0.998754369082429	NA
84	6.02	NA	NA	0.99611619828574	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