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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 09 Jan 2010 08:11:06 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/09/t1263050280zcxdh49l5ikiwnf.htm/, Retrieved Mon, 29 Apr 2024 00:16:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71779, Retrieved Mon, 29 Apr 2024 00:16:36 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W52

Estimated Impact

157

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

-       [Classical Decomposition] [] [2010-01-09 15:11:06] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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3,81
3,95
3,99
4
4,06
4,16
4,19
4,2
4,2
4,2
4,2
4,2
4,23
4,38
4,43
4,44
4,44
4,44
4,44
4,44
4,45
4,45
4,45
4,45
4,45
4,45
4,45
4,45
4,46
4,46
4,46
4,48
4,58
4,67
4,68
4,68
4,69
4,69
4,69
4,69
4,69
4,69
4,69
4,73
4,78
4,79
4,79
4,8
4,8
4,81
5,16
5,26
5,29
5,29
5,29
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,35
5,44
5,47
5,47
5,48
5,48
5,48
5,48
5,48

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71779&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]7 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=71779&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71779&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	7 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	3.81	NA	NA	0.990067815058473	NA
2	3.95	NA	NA	0.993054611212942	NA
3	3.99	NA	NA	1.00485535793481	NA
4	4	NA	NA	1.00663555918286	NA
5	4.06	NA	NA	1.00712227342307	NA
6	4.16	NA	NA	1.00379679710364	NA
7	4.19	4.1205479403138	4.11416666666667	1.00155104889134	1.01685505439864
8	4.2	4.14892728379535	4.14958333333333	0.999841899900476	1.01230986052808
9	4.2	4.19400267824518	4.18583333333333	1.00195166511930	1.00142997566166
10	4.2	4.22860363993085	4.2225	1.00144550383205	0.993235677219604
11	4.2	4.24384439675438	4.25666666666667	0.996987720459134	0.989668707743406
12	4.2	4.25284832821737	4.28416666666667	0.9926897478819	0.987573427468192
13	4.23	4.26347952859555	4.30625	0.990067815058473	0.99214736968455
14	4.38	4.29661628451466	4.32666666666667	0.993054611212942	1.01940683318309
15	4.43	4.36818997888914	4.34708333333333	1.00485535793481	1.01415003042669
16	4.44	4.39690023621411	4.36791666666667	1.00663555918286	1.00980230650468
17	4.44	4.42000787748551	4.38875	1.00712227342307	1.00452309658006
18	4.44	4.4263256265616	4.40958333333333	1.00379679710364	1.00308932839381
19	4.44	4.43603652071457	4.42916666666667	1.00155104889134	1.00089347309629
20	4.44	4.44054783793299	4.44125	0.999841899900476	0.99987662830061
21	4.45	4.45367515145527	4.445	1.00195166511930	0.999174804778012
22	4.45	4.45267707141327	4.44625	1.00144550383205	0.999398772610199
23	4.45	4.434102886742	4.4475	0.996987720459134	1.00358519269039
24	4.45	4.41664213661789	4.44916666666667	0.9926897478819	1.00755276573249
25	4.45	4.40662683352275	4.45083333333333	0.990067815058473	1.00984271373906
26	4.45	4.42240320193497	4.45333333333333	0.993054611212942	1.00624022659285
27	4.45	4.48207358612175	4.46041666666667	1.00485535793481	0.992844029553406
28	4.45	4.50469412734328	4.475	1.00663555918286	0.987858414845241
29	4.46	4.52575571619493	4.49375	1.00712227342307	0.985470776524762
30	4.46	4.53005129559564	4.51291666666667	1.00379679710364	0.984536312941147
31	4.46	4.53953012910001	4.5325	1.00155104889134	0.982480537227808
32	4.48	4.55178024929692	4.5525	0.999841899900476	0.984230291146414
33	4.58	4.58142398875798	4.5725	1.00195166511930	0.99968918206185
34	4.67	4.59913847634871	4.5925	1.00144550383205	1.01540756470276
35	4.68	4.59819044906756	4.61208333333333	0.996987720459134	1.01779168388926
36	4.68	4.59739439487805	4.63125	0.9926897478819	1.01796791791759
37	4.69	4.60422786827817	4.65041666666667	0.990067815058473	1.01862899365011
38	4.69	4.63797880711911	4.67041666666667	0.993054611212942	1.01121634984641
39	4.69	4.71193424924934	4.68916666666667	1.00485535793481	0.995344958548004
40	4.69	4.73370371705738	4.7025	1.00663555918286	0.99076754278053
41	4.69	4.74564407922563	4.71208333333333	1.00712227342307	0.988274704487592
42	4.69	4.73959387699102	4.72166666666667	1.00379679710364	0.989536260220146
43	4.69	4.73858840006716	4.73125	1.00155104889134	0.98974622905284
44	4.73	4.7400838071115	4.74083333333333	0.999841899900476	0.997872652146703
45	4.78	4.77471716415391	4.76541666666667	1.00195166511930	1.00110641859287
46	4.79	4.81570106655239	4.80875	1.00144550383205	0.994663068534112
47	4.79	4.84286785213024	4.8575	0.996987720459134	0.98908335850895
48	4.8	4.87162493773042	4.9075	0.9926897478819	0.985297526257473
49	4.8	4.90826119315238	4.9575	0.990067815058473	0.977943066008097
50	4.81	4.97147964738479	5.00625	0.993054611212942	0.967518795441567
51	5.16	5.07619431650071	5.05166666666667	1.00485535793481	1.01650954992540
52	5.26	5.12838874255366	5.09458333333333	1.00663555918286	1.02566327633361
53	5.29	5.17367104543044	5.13708333333333	1.00712227342307	1.02248479919733
54	5.29	5.19883091166594	5.17916666666667	1.00379679710364	1.01753645961623
55	5.29	5.22893110108688	5.22083333333333	1.00155104889134	1.01167904065525
56	5.3	5.26125139743463	5.26208333333333	0.999841899900476	1.00736490230903
57	5.3	5.2986543890392	5.28833333333333	1.00195166511930	1.00025395333645
58	5.3	5.30557482551024	5.29791666666666	1.00144550383205	0.998949251364163
59	5.3	5.29192773788704	5.30791666666667	0.996987720459134	1.00152539159882
60	5.3	5.28276394164484	5.32166666666667	0.9926897478819	1.00326269705509
61	5.3	5.28366190636205	5.33666666666667	0.990067815058473	1.00309219134901
62	5.3	5.31449726100793	5.35166666666666	0.993054611212942	0.997272129366913
63	5.3	5.39272375425017	5.36666666666667	1.00485535793481	0.982805765977333
64	5.35	5.41737703433573	5.38166666666667	1.00663555918286	0.987562793966768
65	5.44	5.43510320223984	5.39666666666667	1.00712227342307	1.00090095764109
66	5.47	5.43221366699254	5.41166666666667	1.00379679710364	1.00695597325950
67	5.47	NA	NA	1.00155104889134	NA
68	5.48	NA	NA	0.999841899900476	NA
69	5.48	NA	NA	1.00195166511930	NA
70	5.48	NA	NA	1.00144550383205	NA
71	5.48	NA	NA	0.996987720459134	NA
72	5.48	NA	NA	0.9926897478819	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3.81 & NA & NA & 0.990067815058473 & NA \tabularnewline
2 & 3.95 & NA & NA & 0.993054611212942 & NA \tabularnewline
3 & 3.99 & NA & NA & 1.00485535793481 & NA \tabularnewline
4 & 4 & NA & NA & 1.00663555918286 & NA \tabularnewline
5 & 4.06 & NA & NA & 1.00712227342307 & NA \tabularnewline
6 & 4.16 & NA & NA & 1.00379679710364 & NA \tabularnewline
7 & 4.19 & 4.1205479403138 & 4.11416666666667 & 1.00155104889134 & 1.01685505439864 \tabularnewline
8 & 4.2 & 4.14892728379535 & 4.14958333333333 & 0.999841899900476 & 1.01230986052808 \tabularnewline
9 & 4.2 & 4.19400267824518 & 4.18583333333333 & 1.00195166511930 & 1.00142997566166 \tabularnewline
10 & 4.2 & 4.22860363993085 & 4.2225 & 1.00144550383205 & 0.993235677219604 \tabularnewline
11 & 4.2 & 4.24384439675438 & 4.25666666666667 & 0.996987720459134 & 0.989668707743406 \tabularnewline
12 & 4.2 & 4.25284832821737 & 4.28416666666667 & 0.9926897478819 & 0.987573427468192 \tabularnewline
13 & 4.23 & 4.26347952859555 & 4.30625 & 0.990067815058473 & 0.99214736968455 \tabularnewline
14 & 4.38 & 4.29661628451466 & 4.32666666666667 & 0.993054611212942 & 1.01940683318309 \tabularnewline
15 & 4.43 & 4.36818997888914 & 4.34708333333333 & 1.00485535793481 & 1.01415003042669 \tabularnewline
16 & 4.44 & 4.39690023621411 & 4.36791666666667 & 1.00663555918286 & 1.00980230650468 \tabularnewline
17 & 4.44 & 4.42000787748551 & 4.38875 & 1.00712227342307 & 1.00452309658006 \tabularnewline
18 & 4.44 & 4.4263256265616 & 4.40958333333333 & 1.00379679710364 & 1.00308932839381 \tabularnewline
19 & 4.44 & 4.43603652071457 & 4.42916666666667 & 1.00155104889134 & 1.00089347309629 \tabularnewline
20 & 4.44 & 4.44054783793299 & 4.44125 & 0.999841899900476 & 0.99987662830061 \tabularnewline
21 & 4.45 & 4.45367515145527 & 4.445 & 1.00195166511930 & 0.999174804778012 \tabularnewline
22 & 4.45 & 4.45267707141327 & 4.44625 & 1.00144550383205 & 0.999398772610199 \tabularnewline
23 & 4.45 & 4.434102886742 & 4.4475 & 0.996987720459134 & 1.00358519269039 \tabularnewline
24 & 4.45 & 4.41664213661789 & 4.44916666666667 & 0.9926897478819 & 1.00755276573249 \tabularnewline
25 & 4.45 & 4.40662683352275 & 4.45083333333333 & 0.990067815058473 & 1.00984271373906 \tabularnewline
26 & 4.45 & 4.42240320193497 & 4.45333333333333 & 0.993054611212942 & 1.00624022659285 \tabularnewline
27 & 4.45 & 4.48207358612175 & 4.46041666666667 & 1.00485535793481 & 0.992844029553406 \tabularnewline
28 & 4.45 & 4.50469412734328 & 4.475 & 1.00663555918286 & 0.987858414845241 \tabularnewline
29 & 4.46 & 4.52575571619493 & 4.49375 & 1.00712227342307 & 0.985470776524762 \tabularnewline
30 & 4.46 & 4.53005129559564 & 4.51291666666667 & 1.00379679710364 & 0.984536312941147 \tabularnewline
31 & 4.46 & 4.53953012910001 & 4.5325 & 1.00155104889134 & 0.982480537227808 \tabularnewline
32 & 4.48 & 4.55178024929692 & 4.5525 & 0.999841899900476 & 0.984230291146414 \tabularnewline
33 & 4.58 & 4.58142398875798 & 4.5725 & 1.00195166511930 & 0.99968918206185 \tabularnewline
34 & 4.67 & 4.59913847634871 & 4.5925 & 1.00144550383205 & 1.01540756470276 \tabularnewline
35 & 4.68 & 4.59819044906756 & 4.61208333333333 & 0.996987720459134 & 1.01779168388926 \tabularnewline
36 & 4.68 & 4.59739439487805 & 4.63125 & 0.9926897478819 & 1.01796791791759 \tabularnewline
37 & 4.69 & 4.60422786827817 & 4.65041666666667 & 0.990067815058473 & 1.01862899365011 \tabularnewline
38 & 4.69 & 4.63797880711911 & 4.67041666666667 & 0.993054611212942 & 1.01121634984641 \tabularnewline
39 & 4.69 & 4.71193424924934 & 4.68916666666667 & 1.00485535793481 & 0.995344958548004 \tabularnewline
40 & 4.69 & 4.73370371705738 & 4.7025 & 1.00663555918286 & 0.99076754278053 \tabularnewline
41 & 4.69 & 4.74564407922563 & 4.71208333333333 & 1.00712227342307 & 0.988274704487592 \tabularnewline
42 & 4.69 & 4.73959387699102 & 4.72166666666667 & 1.00379679710364 & 0.989536260220146 \tabularnewline
43 & 4.69 & 4.73858840006716 & 4.73125 & 1.00155104889134 & 0.98974622905284 \tabularnewline
44 & 4.73 & 4.7400838071115 & 4.74083333333333 & 0.999841899900476 & 0.997872652146703 \tabularnewline
45 & 4.78 & 4.77471716415391 & 4.76541666666667 & 1.00195166511930 & 1.00110641859287 \tabularnewline
46 & 4.79 & 4.81570106655239 & 4.80875 & 1.00144550383205 & 0.994663068534112 \tabularnewline
47 & 4.79 & 4.84286785213024 & 4.8575 & 0.996987720459134 & 0.98908335850895 \tabularnewline
48 & 4.8 & 4.87162493773042 & 4.9075 & 0.9926897478819 & 0.985297526257473 \tabularnewline
49 & 4.8 & 4.90826119315238 & 4.9575 & 0.990067815058473 & 0.977943066008097 \tabularnewline
50 & 4.81 & 4.97147964738479 & 5.00625 & 0.993054611212942 & 0.967518795441567 \tabularnewline
51 & 5.16 & 5.07619431650071 & 5.05166666666667 & 1.00485535793481 & 1.01650954992540 \tabularnewline
52 & 5.26 & 5.12838874255366 & 5.09458333333333 & 1.00663555918286 & 1.02566327633361 \tabularnewline
53 & 5.29 & 5.17367104543044 & 5.13708333333333 & 1.00712227342307 & 1.02248479919733 \tabularnewline
54 & 5.29 & 5.19883091166594 & 5.17916666666667 & 1.00379679710364 & 1.01753645961623 \tabularnewline
55 & 5.29 & 5.22893110108688 & 5.22083333333333 & 1.00155104889134 & 1.01167904065525 \tabularnewline
56 & 5.3 & 5.26125139743463 & 5.26208333333333 & 0.999841899900476 & 1.00736490230903 \tabularnewline
57 & 5.3 & 5.2986543890392 & 5.28833333333333 & 1.00195166511930 & 1.00025395333645 \tabularnewline
58 & 5.3 & 5.30557482551024 & 5.29791666666666 & 1.00144550383205 & 0.998949251364163 \tabularnewline
59 & 5.3 & 5.29192773788704 & 5.30791666666667 & 0.996987720459134 & 1.00152539159882 \tabularnewline
60 & 5.3 & 5.28276394164484 & 5.32166666666667 & 0.9926897478819 & 1.00326269705509 \tabularnewline
61 & 5.3 & 5.28366190636205 & 5.33666666666667 & 0.990067815058473 & 1.00309219134901 \tabularnewline
62 & 5.3 & 5.31449726100793 & 5.35166666666666 & 0.993054611212942 & 0.997272129366913 \tabularnewline
63 & 5.3 & 5.39272375425017 & 5.36666666666667 & 1.00485535793481 & 0.982805765977333 \tabularnewline
64 & 5.35 & 5.41737703433573 & 5.38166666666667 & 1.00663555918286 & 0.987562793966768 \tabularnewline
65 & 5.44 & 5.43510320223984 & 5.39666666666667 & 1.00712227342307 & 1.00090095764109 \tabularnewline
66 & 5.47 & 5.43221366699254 & 5.41166666666667 & 1.00379679710364 & 1.00695597325950 \tabularnewline
67 & 5.47 & NA & NA & 1.00155104889134 & NA \tabularnewline
68 & 5.48 & NA & NA & 0.999841899900476 & NA \tabularnewline
69 & 5.48 & NA & NA & 1.00195166511930 & NA \tabularnewline
70 & 5.48 & NA & NA & 1.00144550383205 & NA \tabularnewline
71 & 5.48 & NA & NA & 0.996987720459134 & NA \tabularnewline
72 & 5.48 & NA & NA & 0.9926897478819 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71779&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]3.81[/C][C]NA[/C][C]NA[/C][C]0.990067815058473[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3.95[/C][C]NA[/C][C]NA[/C][C]0.993054611212942[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3.99[/C][C]NA[/C][C]NA[/C][C]1.00485535793481[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4[/C][C]NA[/C][C]NA[/C][C]1.00663555918286[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4.06[/C][C]NA[/C][C]NA[/C][C]1.00712227342307[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4.16[/C][C]NA[/C][C]NA[/C][C]1.00379679710364[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4.19[/C][C]4.1205479403138[/C][C]4.11416666666667[/C][C]1.00155104889134[/C][C]1.01685505439864[/C][/ROW]
[ROW][C]8[/C][C]4.2[/C][C]4.14892728379535[/C][C]4.14958333333333[/C][C]0.999841899900476[/C][C]1.01230986052808[/C][/ROW]
[ROW][C]9[/C][C]4.2[/C][C]4.19400267824518[/C][C]4.18583333333333[/C][C]1.00195166511930[/C][C]1.00142997566166[/C][/ROW]
[ROW][C]10[/C][C]4.2[/C][C]4.22860363993085[/C][C]4.2225[/C][C]1.00144550383205[/C][C]0.993235677219604[/C][/ROW]
[ROW][C]11[/C][C]4.2[/C][C]4.24384439675438[/C][C]4.25666666666667[/C][C]0.996987720459134[/C][C]0.989668707743406[/C][/ROW]
[ROW][C]12[/C][C]4.2[/C][C]4.25284832821737[/C][C]4.28416666666667[/C][C]0.9926897478819[/C][C]0.987573427468192[/C][/ROW]
[ROW][C]13[/C][C]4.23[/C][C]4.26347952859555[/C][C]4.30625[/C][C]0.990067815058473[/C][C]0.99214736968455[/C][/ROW]
[ROW][C]14[/C][C]4.38[/C][C]4.29661628451466[/C][C]4.32666666666667[/C][C]0.993054611212942[/C][C]1.01940683318309[/C][/ROW]
[ROW][C]15[/C][C]4.43[/C][C]4.36818997888914[/C][C]4.34708333333333[/C][C]1.00485535793481[/C][C]1.01415003042669[/C][/ROW]
[ROW][C]16[/C][C]4.44[/C][C]4.39690023621411[/C][C]4.36791666666667[/C][C]1.00663555918286[/C][C]1.00980230650468[/C][/ROW]
[ROW][C]17[/C][C]4.44[/C][C]4.42000787748551[/C][C]4.38875[/C][C]1.00712227342307[/C][C]1.00452309658006[/C][/ROW]
[ROW][C]18[/C][C]4.44[/C][C]4.4263256265616[/C][C]4.40958333333333[/C][C]1.00379679710364[/C][C]1.00308932839381[/C][/ROW]
[ROW][C]19[/C][C]4.44[/C][C]4.43603652071457[/C][C]4.42916666666667[/C][C]1.00155104889134[/C][C]1.00089347309629[/C][/ROW]
[ROW][C]20[/C][C]4.44[/C][C]4.44054783793299[/C][C]4.44125[/C][C]0.999841899900476[/C][C]0.99987662830061[/C][/ROW]
[ROW][C]21[/C][C]4.45[/C][C]4.45367515145527[/C][C]4.445[/C][C]1.00195166511930[/C][C]0.999174804778012[/C][/ROW]
[ROW][C]22[/C][C]4.45[/C][C]4.45267707141327[/C][C]4.44625[/C][C]1.00144550383205[/C][C]0.999398772610199[/C][/ROW]
[ROW][C]23[/C][C]4.45[/C][C]4.434102886742[/C][C]4.4475[/C][C]0.996987720459134[/C][C]1.00358519269039[/C][/ROW]
[ROW][C]24[/C][C]4.45[/C][C]4.41664213661789[/C][C]4.44916666666667[/C][C]0.9926897478819[/C][C]1.00755276573249[/C][/ROW]
[ROW][C]25[/C][C]4.45[/C][C]4.40662683352275[/C][C]4.45083333333333[/C][C]0.990067815058473[/C][C]1.00984271373906[/C][/ROW]
[ROW][C]26[/C][C]4.45[/C][C]4.42240320193497[/C][C]4.45333333333333[/C][C]0.993054611212942[/C][C]1.00624022659285[/C][/ROW]
[ROW][C]27[/C][C]4.45[/C][C]4.48207358612175[/C][C]4.46041666666667[/C][C]1.00485535793481[/C][C]0.992844029553406[/C][/ROW]
[ROW][C]28[/C][C]4.45[/C][C]4.50469412734328[/C][C]4.475[/C][C]1.00663555918286[/C][C]0.987858414845241[/C][/ROW]
[ROW][C]29[/C][C]4.46[/C][C]4.52575571619493[/C][C]4.49375[/C][C]1.00712227342307[/C][C]0.985470776524762[/C][/ROW]
[ROW][C]30[/C][C]4.46[/C][C]4.53005129559564[/C][C]4.51291666666667[/C][C]1.00379679710364[/C][C]0.984536312941147[/C][/ROW]
[ROW][C]31[/C][C]4.46[/C][C]4.53953012910001[/C][C]4.5325[/C][C]1.00155104889134[/C][C]0.982480537227808[/C][/ROW]
[ROW][C]32[/C][C]4.48[/C][C]4.55178024929692[/C][C]4.5525[/C][C]0.999841899900476[/C][C]0.984230291146414[/C][/ROW]
[ROW][C]33[/C][C]4.58[/C][C]4.58142398875798[/C][C]4.5725[/C][C]1.00195166511930[/C][C]0.99968918206185[/C][/ROW]
[ROW][C]34[/C][C]4.67[/C][C]4.59913847634871[/C][C]4.5925[/C][C]1.00144550383205[/C][C]1.01540756470276[/C][/ROW]
[ROW][C]35[/C][C]4.68[/C][C]4.59819044906756[/C][C]4.61208333333333[/C][C]0.996987720459134[/C][C]1.01779168388926[/C][/ROW]
[ROW][C]36[/C][C]4.68[/C][C]4.59739439487805[/C][C]4.63125[/C][C]0.9926897478819[/C][C]1.01796791791759[/C][/ROW]
[ROW][C]37[/C][C]4.69[/C][C]4.60422786827817[/C][C]4.65041666666667[/C][C]0.990067815058473[/C][C]1.01862899365011[/C][/ROW]
[ROW][C]38[/C][C]4.69[/C][C]4.63797880711911[/C][C]4.67041666666667[/C][C]0.993054611212942[/C][C]1.01121634984641[/C][/ROW]
[ROW][C]39[/C][C]4.69[/C][C]4.71193424924934[/C][C]4.68916666666667[/C][C]1.00485535793481[/C][C]0.995344958548004[/C][/ROW]
[ROW][C]40[/C][C]4.69[/C][C]4.73370371705738[/C][C]4.7025[/C][C]1.00663555918286[/C][C]0.99076754278053[/C][/ROW]
[ROW][C]41[/C][C]4.69[/C][C]4.74564407922563[/C][C]4.71208333333333[/C][C]1.00712227342307[/C][C]0.988274704487592[/C][/ROW]
[ROW][C]42[/C][C]4.69[/C][C]4.73959387699102[/C][C]4.72166666666667[/C][C]1.00379679710364[/C][C]0.989536260220146[/C][/ROW]
[ROW][C]43[/C][C]4.69[/C][C]4.73858840006716[/C][C]4.73125[/C][C]1.00155104889134[/C][C]0.98974622905284[/C][/ROW]
[ROW][C]44[/C][C]4.73[/C][C]4.7400838071115[/C][C]4.74083333333333[/C][C]0.999841899900476[/C][C]0.997872652146703[/C][/ROW]
[ROW][C]45[/C][C]4.78[/C][C]4.77471716415391[/C][C]4.76541666666667[/C][C]1.00195166511930[/C][C]1.00110641859287[/C][/ROW]
[ROW][C]46[/C][C]4.79[/C][C]4.81570106655239[/C][C]4.80875[/C][C]1.00144550383205[/C][C]0.994663068534112[/C][/ROW]
[ROW][C]47[/C][C]4.79[/C][C]4.84286785213024[/C][C]4.8575[/C][C]0.996987720459134[/C][C]0.98908335850895[/C][/ROW]
[ROW][C]48[/C][C]4.8[/C][C]4.87162493773042[/C][C]4.9075[/C][C]0.9926897478819[/C][C]0.985297526257473[/C][/ROW]
[ROW][C]49[/C][C]4.8[/C][C]4.90826119315238[/C][C]4.9575[/C][C]0.990067815058473[/C][C]0.977943066008097[/C][/ROW]
[ROW][C]50[/C][C]4.81[/C][C]4.97147964738479[/C][C]5.00625[/C][C]0.993054611212942[/C][C]0.967518795441567[/C][/ROW]
[ROW][C]51[/C][C]5.16[/C][C]5.07619431650071[/C][C]5.05166666666667[/C][C]1.00485535793481[/C][C]1.01650954992540[/C][/ROW]
[ROW][C]52[/C][C]5.26[/C][C]5.12838874255366[/C][C]5.09458333333333[/C][C]1.00663555918286[/C][C]1.02566327633361[/C][/ROW]
[ROW][C]53[/C][C]5.29[/C][C]5.17367104543044[/C][C]5.13708333333333[/C][C]1.00712227342307[/C][C]1.02248479919733[/C][/ROW]
[ROW][C]54[/C][C]5.29[/C][C]5.19883091166594[/C][C]5.17916666666667[/C][C]1.00379679710364[/C][C]1.01753645961623[/C][/ROW]
[ROW][C]55[/C][C]5.29[/C][C]5.22893110108688[/C][C]5.22083333333333[/C][C]1.00155104889134[/C][C]1.01167904065525[/C][/ROW]
[ROW][C]56[/C][C]5.3[/C][C]5.26125139743463[/C][C]5.26208333333333[/C][C]0.999841899900476[/C][C]1.00736490230903[/C][/ROW]
[ROW][C]57[/C][C]5.3[/C][C]5.2986543890392[/C][C]5.28833333333333[/C][C]1.00195166511930[/C][C]1.00025395333645[/C][/ROW]
[ROW][C]58[/C][C]5.3[/C][C]5.30557482551024[/C][C]5.29791666666666[/C][C]1.00144550383205[/C][C]0.998949251364163[/C][/ROW]
[ROW][C]59[/C][C]5.3[/C][C]5.29192773788704[/C][C]5.30791666666667[/C][C]0.996987720459134[/C][C]1.00152539159882[/C][/ROW]
[ROW][C]60[/C][C]5.3[/C][C]5.28276394164484[/C][C]5.32166666666667[/C][C]0.9926897478819[/C][C]1.00326269705509[/C][/ROW]
[ROW][C]61[/C][C]5.3[/C][C]5.28366190636205[/C][C]5.33666666666667[/C][C]0.990067815058473[/C][C]1.00309219134901[/C][/ROW]
[ROW][C]62[/C][C]5.3[/C][C]5.31449726100793[/C][C]5.35166666666666[/C][C]0.993054611212942[/C][C]0.997272129366913[/C][/ROW]
[ROW][C]63[/C][C]5.3[/C][C]5.39272375425017[/C][C]5.36666666666667[/C][C]1.00485535793481[/C][C]0.982805765977333[/C][/ROW]
[ROW][C]64[/C][C]5.35[/C][C]5.41737703433573[/C][C]5.38166666666667[/C][C]1.00663555918286[/C][C]0.987562793966768[/C][/ROW]
[ROW][C]65[/C][C]5.44[/C][C]5.43510320223984[/C][C]5.39666666666667[/C][C]1.00712227342307[/C][C]1.00090095764109[/C][/ROW]
[ROW][C]66[/C][C]5.47[/C][C]5.43221366699254[/C][C]5.41166666666667[/C][C]1.00379679710364[/C][C]1.00695597325950[/C][/ROW]
[ROW][C]67[/C][C]5.47[/C][C]NA[/C][C]NA[/C][C]1.00155104889134[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]5.48[/C][C]NA[/C][C]NA[/C][C]0.999841899900476[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]5.48[/C][C]NA[/C][C]NA[/C][C]1.00195166511930[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]5.48[/C][C]NA[/C][C]NA[/C][C]1.00144550383205[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]5.48[/C][C]NA[/C][C]NA[/C][C]0.996987720459134[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]5.48[/C][C]NA[/C][C]NA[/C][C]0.9926897478819[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71779&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71779&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	3.81	NA	NA	0.990067815058473	NA
2	3.95	NA	NA	0.993054611212942	NA
3	3.99	NA	NA	1.00485535793481	NA
4	4	NA	NA	1.00663555918286	NA
5	4.06	NA	NA	1.00712227342307	NA
6	4.16	NA	NA	1.00379679710364	NA
7	4.19	4.1205479403138	4.11416666666667	1.00155104889134	1.01685505439864
8	4.2	4.14892728379535	4.14958333333333	0.999841899900476	1.01230986052808
9	4.2	4.19400267824518	4.18583333333333	1.00195166511930	1.00142997566166
10	4.2	4.22860363993085	4.2225	1.00144550383205	0.993235677219604
11	4.2	4.24384439675438	4.25666666666667	0.996987720459134	0.989668707743406
12	4.2	4.25284832821737	4.28416666666667	0.9926897478819	0.987573427468192
13	4.23	4.26347952859555	4.30625	0.990067815058473	0.99214736968455
14	4.38	4.29661628451466	4.32666666666667	0.993054611212942	1.01940683318309
15	4.43	4.36818997888914	4.34708333333333	1.00485535793481	1.01415003042669
16	4.44	4.39690023621411	4.36791666666667	1.00663555918286	1.00980230650468
17	4.44	4.42000787748551	4.38875	1.00712227342307	1.00452309658006
18	4.44	4.4263256265616	4.40958333333333	1.00379679710364	1.00308932839381
19	4.44	4.43603652071457	4.42916666666667	1.00155104889134	1.00089347309629
20	4.44	4.44054783793299	4.44125	0.999841899900476	0.99987662830061
21	4.45	4.45367515145527	4.445	1.00195166511930	0.999174804778012
22	4.45	4.45267707141327	4.44625	1.00144550383205	0.999398772610199
23	4.45	4.434102886742	4.4475	0.996987720459134	1.00358519269039
24	4.45	4.41664213661789	4.44916666666667	0.9926897478819	1.00755276573249
25	4.45	4.40662683352275	4.45083333333333	0.990067815058473	1.00984271373906
26	4.45	4.42240320193497	4.45333333333333	0.993054611212942	1.00624022659285
27	4.45	4.48207358612175	4.46041666666667	1.00485535793481	0.992844029553406
28	4.45	4.50469412734328	4.475	1.00663555918286	0.987858414845241
29	4.46	4.52575571619493	4.49375	1.00712227342307	0.985470776524762
30	4.46	4.53005129559564	4.51291666666667	1.00379679710364	0.984536312941147
31	4.46	4.53953012910001	4.5325	1.00155104889134	0.982480537227808
32	4.48	4.55178024929692	4.5525	0.999841899900476	0.984230291146414
33	4.58	4.58142398875798	4.5725	1.00195166511930	0.99968918206185
34	4.67	4.59913847634871	4.5925	1.00144550383205	1.01540756470276
35	4.68	4.59819044906756	4.61208333333333	0.996987720459134	1.01779168388926
36	4.68	4.59739439487805	4.63125	0.9926897478819	1.01796791791759
37	4.69	4.60422786827817	4.65041666666667	0.990067815058473	1.01862899365011
38	4.69	4.63797880711911	4.67041666666667	0.993054611212942	1.01121634984641
39	4.69	4.71193424924934	4.68916666666667	1.00485535793481	0.995344958548004
40	4.69	4.73370371705738	4.7025	1.00663555918286	0.99076754278053
41	4.69	4.74564407922563	4.71208333333333	1.00712227342307	0.988274704487592
42	4.69	4.73959387699102	4.72166666666667	1.00379679710364	0.989536260220146
43	4.69	4.73858840006716	4.73125	1.00155104889134	0.98974622905284
44	4.73	4.7400838071115	4.74083333333333	0.999841899900476	0.997872652146703
45	4.78	4.77471716415391	4.76541666666667	1.00195166511930	1.00110641859287
46	4.79	4.81570106655239	4.80875	1.00144550383205	0.994663068534112
47	4.79	4.84286785213024	4.8575	0.996987720459134	0.98908335850895
48	4.8	4.87162493773042	4.9075	0.9926897478819	0.985297526257473
49	4.8	4.90826119315238	4.9575	0.990067815058473	0.977943066008097
50	4.81	4.97147964738479	5.00625	0.993054611212942	0.967518795441567
51	5.16	5.07619431650071	5.05166666666667	1.00485535793481	1.01650954992540
52	5.26	5.12838874255366	5.09458333333333	1.00663555918286	1.02566327633361
53	5.29	5.17367104543044	5.13708333333333	1.00712227342307	1.02248479919733
54	5.29	5.19883091166594	5.17916666666667	1.00379679710364	1.01753645961623
55	5.29	5.22893110108688	5.22083333333333	1.00155104889134	1.01167904065525
56	5.3	5.26125139743463	5.26208333333333	0.999841899900476	1.00736490230903
57	5.3	5.2986543890392	5.28833333333333	1.00195166511930	1.00025395333645
58	5.3	5.30557482551024	5.29791666666666	1.00144550383205	0.998949251364163
59	5.3	5.29192773788704	5.30791666666667	0.996987720459134	1.00152539159882
60	5.3	5.28276394164484	5.32166666666667	0.9926897478819	1.00326269705509
61	5.3	5.28366190636205	5.33666666666667	0.990067815058473	1.00309219134901
62	5.3	5.31449726100793	5.35166666666666	0.993054611212942	0.997272129366913
63	5.3	5.39272375425017	5.36666666666667	1.00485535793481	0.982805765977333
64	5.35	5.41737703433573	5.38166666666667	1.00663555918286	0.987562793966768
65	5.44	5.43510320223984	5.39666666666667	1.00712227342307	1.00090095764109
66	5.47	5.43221366699254	5.41166666666667	1.00379679710364	1.00695597325950
67	5.47	NA	NA	1.00155104889134	NA
68	5.48	NA	NA	0.999841899900476	NA
69	5.48	NA	NA	1.00195166511930	NA
70	5.48	NA	NA	1.00144550383205	NA
71	5.48	NA	NA	0.996987720459134	NA
72	5.48	NA	NA	0.9926897478819	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