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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 19 May 2008 10:19:08 -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/2008/May/19/t12112140122gjg7yng7dut1n1.htm/, Retrieved Tue, 14 May 2024 10:57:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12894, Retrieved Tue, 14 May 2024 10:57:45 +0000

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Estimated Impact

214

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

-       [Classical Decomposition] [classical decompo...] [2008-05-19 16:19:08] [1e17f2ab0c3b2b3de21c4ac88dec2f8d] [Current]

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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=12894&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=12894&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12894&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	104.7	NA	NA	0.995535352336965	NA
2	104.7	NA	NA	0.992900042396295	NA
3	104.7	NA	NA	0.990280103498155	NA
4	104.7	NA	NA	0.98767539439766	NA
5	106	NA	NA	0.991170558649357	NA
6	107	NA	NA	1.01392585017503	NA
7	107	107.443811201634	106.245833333333	1.01127552799687	0.995869364678424
8	107	107.357166314666	106.4375	1.00864043513485	0.996673102253661
9	107	107.271120511037	106.629166666667	1.00602043384975	0.99747256754898
10	107	107.185667936694	106.820833333333	1.00341538810339	0.998267791391628
11	107	107.075622492774	106.983333333333	1.00086264987793	0.99929374687708
12	107	106.98845682349	107.170833333333	0.99829826358375	1.00010789179368
13	107	106.932941032894	107.4125	0.995535352336965	1.00062711234217
14	107	106.889826647471	107.654166666667	0.992900042396295	1.0010307187876
15	107	106.847097000353	107.895833333333	0.990280103498155	1.00143104495994
16	107	106.804747961677	108.1375	0.98767539439766	1.00182812133402
17	107.6	107.422239170952	108.379166666667	0.991170558649357	1.00165478610779
18	109.9	110.133470784220	108.620833333333	1.01392585017503	0.99788011053717
19	109.9	110.089982166559	108.8625	1.01127552799687	0.998274301050644
20	109.9	110.046874141692	109.104166666667	1.00864043513485	0.998665349262872
21	109.9	110.004142689662	109.345833333333	1.00602043384975	0.9990532839299
22	109.9	109.961783843780	109.5875	1.00341538810339	0.999438133489469
23	109.9	109.928081044926	109.833333333333	1.00086264987793	0.999744550758467
24	109.9	109.954234581553	110.141666666667	0.99829826358375	0.999506753134522
25	109.9	110.014952561171	110.508333333333	0.995535352336965	0.998955118749819
26	109.9	110.087792200689	110.875	0.992900042396295	0.998294159625376
27	109.9	110.160409179974	111.241666666667	0.990280103498155	0.997636091024785
28	109.9	110.232804643066	111.608333333333	0.98767539439766	0.996980892900773
29	110.6	110.986323304762	111.975	0.991170558649357	0.99651918098322
30	114.3	113.90611988508	112.341666666667	1.01392585017503	1.00345793637179
31	114.3	113.979179301314	112.708333333333	1.01127552799687	1.00281473073111
32	114.3	114.052017202873	113.075	1.00864043513485	1.00217429558204
33	114.3	114.124634716638	113.441666666667	1.00602043384975	1.00153661200141
34	114.3	114.197032961066	113.808333333333	1.00341538810339	1.00090166124516
35	114.3	114.244301222525	114.145833333333	1.00086264987793	1.00048754097035
36	114.3	114.301407561851	114.49625	0.99829826358375	0.999987685524781
37	114.3	114.375812210803	114.88875	0.995535352336965	0.999337165705423
38	114.3	114.462758012498	115.28125	0.992900042396295	0.998578070148544
39	114.3	114.549413122020	115.67375	0.990280103498155	0.997822659102111
40	114.3	114.635779245008	116.06625	0.98767539439766	0.997070903628702
41	114.3	115.430484297106	116.45875	0.991170558649357	0.99020636269535
42	119.01	118.478503000265	116.85125	1.01392585017503	1.00448602055458
43	119.01	118.565735185583	117.24375	1.01127552799687	1.00374699160530
44	119.01	118.652678387632	117.63625	1.00864043513485	1.00301149217383
45	119.01	118.739334281743	118.02875	1.00602043384975	1.00227949499544
46	119.01	118.825704528438	118.42125	1.00341538810339	1.00155097310210
47	119.01	119.010492566464	118.907916666667	1.00086264987793	0.999995861150948
48	119.01	119.183917985995	119.387083333333	0.99829826358375	0.998540759618127
49	119.01	119.229876666240	119.764583333333	0.995535352336965	0.998155859316576
50	119.01	119.289079635246	120.142083333333	0.992900042396295	0.997660476247287
51	119.01	119.348145456888	120.519583333333	0.990280103498155	0.997166730529466
52	119.01	119.407074462777	120.897083333333	0.98767539439766	0.9966746152641
53	121.27	120.203796512468	121.274583333333	0.991170558649357	1.00886996516305
54	123.54	123.346192019314	121.652083333333	1.01392585017503	1.00157125224146
55	123.54	123.405531316655	122.029583333333	1.01127552799687	1.00108964875326
56	123.54	123.464733796921	122.407083333333	1.00864043513485	1.00060961701989
57	123.54	123.523799795060	122.784583333333	1.00602043384975	1.00013115047438
58	123.54	123.582729647539	123.162083333333	1.00341538810339	0.999654242565604
59	123.54	123.551906840285	123.445416666667	1.00086264987793	0.999903628842404
60	123.54	123.400480276807	123.610833333333	0.99829826358375	1.00113062544716
61	123.54	123.199988690080	123.7525	0.995535352336965	1.00275983231439
62	123.54	123.014523335987	123.894166666667	0.992900042396295	1.00427166361957
63	123.54	122.830217870813	124.035833333333	0.990280103498155	1.00577856281207
64	123.54	122.647061287815	124.1775	0.98767539439766	1.00728055530078
65	123.54	123.221497875823	124.319166666667	0.991170558649357	1.00258479347896
66	125.24	126.194056250993	124.460833333333	1.01392585017503	0.992439768723376
67	125.24	126.00745897723	124.6025	1.01127552799687	0.993909416288056
68	125.24	125.822010547201	124.744166666667	1.00864043513485	0.995374334389748
69	125.24	125.637700231687	124.885833333333	1.00602043384975	0.996834547027257
70	125.24	125.454517436096	125.0275	1.00341538810339	0.99829007802604
71	125.24	125.277143833012	125.169166666667	1.00086264987793	0.999703506706204
72	125.24	125.156237347885	125.369583333333	0.99829826358375	1.00066926470378
73	125.24	125.067861894902	125.62875	0.995535352336965	1.00137635762289
74	125.24	124.994117795515	125.887916666667	0.992900042396295	1.00196715020532
75	125.24	124.920946739324	126.147083333333	0.990280103498155	1.00255404132777
76	125.24	124.848342823079	126.40625	0.98767539439766	1.00313706348090
77	125.24	125.547031799054	126.665416666667	0.991170558649357	0.997554447965404
78	128.35	128.692116064362	126.924583333333	1.01392585017503	0.997341592672308
79	128.35	NA	NA	1.01127552799687	NA
80	128.35	NA	NA	1.00864043513485	NA
81	128.35	NA	NA	1.00602043384975	NA
82	128.35	NA	NA	1.00341538810339	NA
83	128.35	NA	NA	1.00086264987793	NA
84	128.35	NA	NA	0.99829826358375	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 104.7 & NA & NA & 0.995535352336965 & NA \tabularnewline
2 & 104.7 & NA & NA & 0.992900042396295 & NA \tabularnewline
3 & 104.7 & NA & NA & 0.990280103498155 & NA \tabularnewline
4 & 104.7 & NA & NA & 0.98767539439766 & NA \tabularnewline
5 & 106 & NA & NA & 0.991170558649357 & NA \tabularnewline
6 & 107 & NA & NA & 1.01392585017503 & NA \tabularnewline
7 & 107 & 107.443811201634 & 106.245833333333 & 1.01127552799687 & 0.995869364678424 \tabularnewline
8 & 107 & 107.357166314666 & 106.4375 & 1.00864043513485 & 0.996673102253661 \tabularnewline
9 & 107 & 107.271120511037 & 106.629166666667 & 1.00602043384975 & 0.99747256754898 \tabularnewline
10 & 107 & 107.185667936694 & 106.820833333333 & 1.00341538810339 & 0.998267791391628 \tabularnewline
11 & 107 & 107.075622492774 & 106.983333333333 & 1.00086264987793 & 0.99929374687708 \tabularnewline
12 & 107 & 106.98845682349 & 107.170833333333 & 0.99829826358375 & 1.00010789179368 \tabularnewline
13 & 107 & 106.932941032894 & 107.4125 & 0.995535352336965 & 1.00062711234217 \tabularnewline
14 & 107 & 106.889826647471 & 107.654166666667 & 0.992900042396295 & 1.0010307187876 \tabularnewline
15 & 107 & 106.847097000353 & 107.895833333333 & 0.990280103498155 & 1.00143104495994 \tabularnewline
16 & 107 & 106.804747961677 & 108.1375 & 0.98767539439766 & 1.00182812133402 \tabularnewline
17 & 107.6 & 107.422239170952 & 108.379166666667 & 0.991170558649357 & 1.00165478610779 \tabularnewline
18 & 109.9 & 110.133470784220 & 108.620833333333 & 1.01392585017503 & 0.99788011053717 \tabularnewline
19 & 109.9 & 110.089982166559 & 108.8625 & 1.01127552799687 & 0.998274301050644 \tabularnewline
20 & 109.9 & 110.046874141692 & 109.104166666667 & 1.00864043513485 & 0.998665349262872 \tabularnewline
21 & 109.9 & 110.004142689662 & 109.345833333333 & 1.00602043384975 & 0.9990532839299 \tabularnewline
22 & 109.9 & 109.961783843780 & 109.5875 & 1.00341538810339 & 0.999438133489469 \tabularnewline
23 & 109.9 & 109.928081044926 & 109.833333333333 & 1.00086264987793 & 0.999744550758467 \tabularnewline
24 & 109.9 & 109.954234581553 & 110.141666666667 & 0.99829826358375 & 0.999506753134522 \tabularnewline
25 & 109.9 & 110.014952561171 & 110.508333333333 & 0.995535352336965 & 0.998955118749819 \tabularnewline
26 & 109.9 & 110.087792200689 & 110.875 & 0.992900042396295 & 0.998294159625376 \tabularnewline
27 & 109.9 & 110.160409179974 & 111.241666666667 & 0.990280103498155 & 0.997636091024785 \tabularnewline
28 & 109.9 & 110.232804643066 & 111.608333333333 & 0.98767539439766 & 0.996980892900773 \tabularnewline
29 & 110.6 & 110.986323304762 & 111.975 & 0.991170558649357 & 0.99651918098322 \tabularnewline
30 & 114.3 & 113.90611988508 & 112.341666666667 & 1.01392585017503 & 1.00345793637179 \tabularnewline
31 & 114.3 & 113.979179301314 & 112.708333333333 & 1.01127552799687 & 1.00281473073111 \tabularnewline
32 & 114.3 & 114.052017202873 & 113.075 & 1.00864043513485 & 1.00217429558204 \tabularnewline
33 & 114.3 & 114.124634716638 & 113.441666666667 & 1.00602043384975 & 1.00153661200141 \tabularnewline
34 & 114.3 & 114.197032961066 & 113.808333333333 & 1.00341538810339 & 1.00090166124516 \tabularnewline
35 & 114.3 & 114.244301222525 & 114.145833333333 & 1.00086264987793 & 1.00048754097035 \tabularnewline
36 & 114.3 & 114.301407561851 & 114.49625 & 0.99829826358375 & 0.999987685524781 \tabularnewline
37 & 114.3 & 114.375812210803 & 114.88875 & 0.995535352336965 & 0.999337165705423 \tabularnewline
38 & 114.3 & 114.462758012498 & 115.28125 & 0.992900042396295 & 0.998578070148544 \tabularnewline
39 & 114.3 & 114.549413122020 & 115.67375 & 0.990280103498155 & 0.997822659102111 \tabularnewline
40 & 114.3 & 114.635779245008 & 116.06625 & 0.98767539439766 & 0.997070903628702 \tabularnewline
41 & 114.3 & 115.430484297106 & 116.45875 & 0.991170558649357 & 0.99020636269535 \tabularnewline
42 & 119.01 & 118.478503000265 & 116.85125 & 1.01392585017503 & 1.00448602055458 \tabularnewline
43 & 119.01 & 118.565735185583 & 117.24375 & 1.01127552799687 & 1.00374699160530 \tabularnewline
44 & 119.01 & 118.652678387632 & 117.63625 & 1.00864043513485 & 1.00301149217383 \tabularnewline
45 & 119.01 & 118.739334281743 & 118.02875 & 1.00602043384975 & 1.00227949499544 \tabularnewline
46 & 119.01 & 118.825704528438 & 118.42125 & 1.00341538810339 & 1.00155097310210 \tabularnewline
47 & 119.01 & 119.010492566464 & 118.907916666667 & 1.00086264987793 & 0.999995861150948 \tabularnewline
48 & 119.01 & 119.183917985995 & 119.387083333333 & 0.99829826358375 & 0.998540759618127 \tabularnewline
49 & 119.01 & 119.229876666240 & 119.764583333333 & 0.995535352336965 & 0.998155859316576 \tabularnewline
50 & 119.01 & 119.289079635246 & 120.142083333333 & 0.992900042396295 & 0.997660476247287 \tabularnewline
51 & 119.01 & 119.348145456888 & 120.519583333333 & 0.990280103498155 & 0.997166730529466 \tabularnewline
52 & 119.01 & 119.407074462777 & 120.897083333333 & 0.98767539439766 & 0.9966746152641 \tabularnewline
53 & 121.27 & 120.203796512468 & 121.274583333333 & 0.991170558649357 & 1.00886996516305 \tabularnewline
54 & 123.54 & 123.346192019314 & 121.652083333333 & 1.01392585017503 & 1.00157125224146 \tabularnewline
55 & 123.54 & 123.405531316655 & 122.029583333333 & 1.01127552799687 & 1.00108964875326 \tabularnewline
56 & 123.54 & 123.464733796921 & 122.407083333333 & 1.00864043513485 & 1.00060961701989 \tabularnewline
57 & 123.54 & 123.523799795060 & 122.784583333333 & 1.00602043384975 & 1.00013115047438 \tabularnewline
58 & 123.54 & 123.582729647539 & 123.162083333333 & 1.00341538810339 & 0.999654242565604 \tabularnewline
59 & 123.54 & 123.551906840285 & 123.445416666667 & 1.00086264987793 & 0.999903628842404 \tabularnewline
60 & 123.54 & 123.400480276807 & 123.610833333333 & 0.99829826358375 & 1.00113062544716 \tabularnewline
61 & 123.54 & 123.199988690080 & 123.7525 & 0.995535352336965 & 1.00275983231439 \tabularnewline
62 & 123.54 & 123.014523335987 & 123.894166666667 & 0.992900042396295 & 1.00427166361957 \tabularnewline
63 & 123.54 & 122.830217870813 & 124.035833333333 & 0.990280103498155 & 1.00577856281207 \tabularnewline
64 & 123.54 & 122.647061287815 & 124.1775 & 0.98767539439766 & 1.00728055530078 \tabularnewline
65 & 123.54 & 123.221497875823 & 124.319166666667 & 0.991170558649357 & 1.00258479347896 \tabularnewline
66 & 125.24 & 126.194056250993 & 124.460833333333 & 1.01392585017503 & 0.992439768723376 \tabularnewline
67 & 125.24 & 126.00745897723 & 124.6025 & 1.01127552799687 & 0.993909416288056 \tabularnewline
68 & 125.24 & 125.822010547201 & 124.744166666667 & 1.00864043513485 & 0.995374334389748 \tabularnewline
69 & 125.24 & 125.637700231687 & 124.885833333333 & 1.00602043384975 & 0.996834547027257 \tabularnewline
70 & 125.24 & 125.454517436096 & 125.0275 & 1.00341538810339 & 0.99829007802604 \tabularnewline
71 & 125.24 & 125.277143833012 & 125.169166666667 & 1.00086264987793 & 0.999703506706204 \tabularnewline
72 & 125.24 & 125.156237347885 & 125.369583333333 & 0.99829826358375 & 1.00066926470378 \tabularnewline
73 & 125.24 & 125.067861894902 & 125.62875 & 0.995535352336965 & 1.00137635762289 \tabularnewline
74 & 125.24 & 124.994117795515 & 125.887916666667 & 0.992900042396295 & 1.00196715020532 \tabularnewline
75 & 125.24 & 124.920946739324 & 126.147083333333 & 0.990280103498155 & 1.00255404132777 \tabularnewline
76 & 125.24 & 124.848342823079 & 126.40625 & 0.98767539439766 & 1.00313706348090 \tabularnewline
77 & 125.24 & 125.547031799054 & 126.665416666667 & 0.991170558649357 & 0.997554447965404 \tabularnewline
78 & 128.35 & 128.692116064362 & 126.924583333333 & 1.01392585017503 & 0.997341592672308 \tabularnewline
79 & 128.35 & NA & NA & 1.01127552799687 & NA \tabularnewline
80 & 128.35 & NA & NA & 1.00864043513485 & NA \tabularnewline
81 & 128.35 & NA & NA & 1.00602043384975 & NA \tabularnewline
82 & 128.35 & NA & NA & 1.00341538810339 & NA \tabularnewline
83 & 128.35 & NA & NA & 1.00086264987793 & NA \tabularnewline
84 & 128.35 & NA & NA & 0.99829826358375 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12894&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]104.7[/C][C]NA[/C][C]NA[/C][C]0.995535352336965[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]104.7[/C][C]NA[/C][C]NA[/C][C]0.992900042396295[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104.7[/C][C]NA[/C][C]NA[/C][C]0.990280103498155[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]104.7[/C][C]NA[/C][C]NA[/C][C]0.98767539439766[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]106[/C][C]NA[/C][C]NA[/C][C]0.991170558649357[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]107[/C][C]NA[/C][C]NA[/C][C]1.01392585017503[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]107[/C][C]107.443811201634[/C][C]106.245833333333[/C][C]1.01127552799687[/C][C]0.995869364678424[/C][/ROW]
[ROW][C]8[/C][C]107[/C][C]107.357166314666[/C][C]106.4375[/C][C]1.00864043513485[/C][C]0.996673102253661[/C][/ROW]
[ROW][C]9[/C][C]107[/C][C]107.271120511037[/C][C]106.629166666667[/C][C]1.00602043384975[/C][C]0.99747256754898[/C][/ROW]
[ROW][C]10[/C][C]107[/C][C]107.185667936694[/C][C]106.820833333333[/C][C]1.00341538810339[/C][C]0.998267791391628[/C][/ROW]
[ROW][C]11[/C][C]107[/C][C]107.075622492774[/C][C]106.983333333333[/C][C]1.00086264987793[/C][C]0.99929374687708[/C][/ROW]
[ROW][C]12[/C][C]107[/C][C]106.98845682349[/C][C]107.170833333333[/C][C]0.99829826358375[/C][C]1.00010789179368[/C][/ROW]
[ROW][C]13[/C][C]107[/C][C]106.932941032894[/C][C]107.4125[/C][C]0.995535352336965[/C][C]1.00062711234217[/C][/ROW]
[ROW][C]14[/C][C]107[/C][C]106.889826647471[/C][C]107.654166666667[/C][C]0.992900042396295[/C][C]1.0010307187876[/C][/ROW]
[ROW][C]15[/C][C]107[/C][C]106.847097000353[/C][C]107.895833333333[/C][C]0.990280103498155[/C][C]1.00143104495994[/C][/ROW]
[ROW][C]16[/C][C]107[/C][C]106.804747961677[/C][C]108.1375[/C][C]0.98767539439766[/C][C]1.00182812133402[/C][/ROW]
[ROW][C]17[/C][C]107.6[/C][C]107.422239170952[/C][C]108.379166666667[/C][C]0.991170558649357[/C][C]1.00165478610779[/C][/ROW]
[ROW][C]18[/C][C]109.9[/C][C]110.133470784220[/C][C]108.620833333333[/C][C]1.01392585017503[/C][C]0.99788011053717[/C][/ROW]
[ROW][C]19[/C][C]109.9[/C][C]110.089982166559[/C][C]108.8625[/C][C]1.01127552799687[/C][C]0.998274301050644[/C][/ROW]
[ROW][C]20[/C][C]109.9[/C][C]110.046874141692[/C][C]109.104166666667[/C][C]1.00864043513485[/C][C]0.998665349262872[/C][/ROW]
[ROW][C]21[/C][C]109.9[/C][C]110.004142689662[/C][C]109.345833333333[/C][C]1.00602043384975[/C][C]0.9990532839299[/C][/ROW]
[ROW][C]22[/C][C]109.9[/C][C]109.961783843780[/C][C]109.5875[/C][C]1.00341538810339[/C][C]0.999438133489469[/C][/ROW]
[ROW][C]23[/C][C]109.9[/C][C]109.928081044926[/C][C]109.833333333333[/C][C]1.00086264987793[/C][C]0.999744550758467[/C][/ROW]
[ROW][C]24[/C][C]109.9[/C][C]109.954234581553[/C][C]110.141666666667[/C][C]0.99829826358375[/C][C]0.999506753134522[/C][/ROW]
[ROW][C]25[/C][C]109.9[/C][C]110.014952561171[/C][C]110.508333333333[/C][C]0.995535352336965[/C][C]0.998955118749819[/C][/ROW]
[ROW][C]26[/C][C]109.9[/C][C]110.087792200689[/C][C]110.875[/C][C]0.992900042396295[/C][C]0.998294159625376[/C][/ROW]
[ROW][C]27[/C][C]109.9[/C][C]110.160409179974[/C][C]111.241666666667[/C][C]0.990280103498155[/C][C]0.997636091024785[/C][/ROW]
[ROW][C]28[/C][C]109.9[/C][C]110.232804643066[/C][C]111.608333333333[/C][C]0.98767539439766[/C][C]0.996980892900773[/C][/ROW]
[ROW][C]29[/C][C]110.6[/C][C]110.986323304762[/C][C]111.975[/C][C]0.991170558649357[/C][C]0.99651918098322[/C][/ROW]
[ROW][C]30[/C][C]114.3[/C][C]113.90611988508[/C][C]112.341666666667[/C][C]1.01392585017503[/C][C]1.00345793637179[/C][/ROW]
[ROW][C]31[/C][C]114.3[/C][C]113.979179301314[/C][C]112.708333333333[/C][C]1.01127552799687[/C][C]1.00281473073111[/C][/ROW]
[ROW][C]32[/C][C]114.3[/C][C]114.052017202873[/C][C]113.075[/C][C]1.00864043513485[/C][C]1.00217429558204[/C][/ROW]
[ROW][C]33[/C][C]114.3[/C][C]114.124634716638[/C][C]113.441666666667[/C][C]1.00602043384975[/C][C]1.00153661200141[/C][/ROW]
[ROW][C]34[/C][C]114.3[/C][C]114.197032961066[/C][C]113.808333333333[/C][C]1.00341538810339[/C][C]1.00090166124516[/C][/ROW]
[ROW][C]35[/C][C]114.3[/C][C]114.244301222525[/C][C]114.145833333333[/C][C]1.00086264987793[/C][C]1.00048754097035[/C][/ROW]
[ROW][C]36[/C][C]114.3[/C][C]114.301407561851[/C][C]114.49625[/C][C]0.99829826358375[/C][C]0.999987685524781[/C][/ROW]
[ROW][C]37[/C][C]114.3[/C][C]114.375812210803[/C][C]114.88875[/C][C]0.995535352336965[/C][C]0.999337165705423[/C][/ROW]
[ROW][C]38[/C][C]114.3[/C][C]114.462758012498[/C][C]115.28125[/C][C]0.992900042396295[/C][C]0.998578070148544[/C][/ROW]
[ROW][C]39[/C][C]114.3[/C][C]114.549413122020[/C][C]115.67375[/C][C]0.990280103498155[/C][C]0.997822659102111[/C][/ROW]
[ROW][C]40[/C][C]114.3[/C][C]114.635779245008[/C][C]116.06625[/C][C]0.98767539439766[/C][C]0.997070903628702[/C][/ROW]
[ROW][C]41[/C][C]114.3[/C][C]115.430484297106[/C][C]116.45875[/C][C]0.991170558649357[/C][C]0.99020636269535[/C][/ROW]
[ROW][C]42[/C][C]119.01[/C][C]118.478503000265[/C][C]116.85125[/C][C]1.01392585017503[/C][C]1.00448602055458[/C][/ROW]
[ROW][C]43[/C][C]119.01[/C][C]118.565735185583[/C][C]117.24375[/C][C]1.01127552799687[/C][C]1.00374699160530[/C][/ROW]
[ROW][C]44[/C][C]119.01[/C][C]118.652678387632[/C][C]117.63625[/C][C]1.00864043513485[/C][C]1.00301149217383[/C][/ROW]
[ROW][C]45[/C][C]119.01[/C][C]118.739334281743[/C][C]118.02875[/C][C]1.00602043384975[/C][C]1.00227949499544[/C][/ROW]
[ROW][C]46[/C][C]119.01[/C][C]118.825704528438[/C][C]118.42125[/C][C]1.00341538810339[/C][C]1.00155097310210[/C][/ROW]
[ROW][C]47[/C][C]119.01[/C][C]119.010492566464[/C][C]118.907916666667[/C][C]1.00086264987793[/C][C]0.999995861150948[/C][/ROW]
[ROW][C]48[/C][C]119.01[/C][C]119.183917985995[/C][C]119.387083333333[/C][C]0.99829826358375[/C][C]0.998540759618127[/C][/ROW]
[ROW][C]49[/C][C]119.01[/C][C]119.229876666240[/C][C]119.764583333333[/C][C]0.995535352336965[/C][C]0.998155859316576[/C][/ROW]
[ROW][C]50[/C][C]119.01[/C][C]119.289079635246[/C][C]120.142083333333[/C][C]0.992900042396295[/C][C]0.997660476247287[/C][/ROW]
[ROW][C]51[/C][C]119.01[/C][C]119.348145456888[/C][C]120.519583333333[/C][C]0.990280103498155[/C][C]0.997166730529466[/C][/ROW]
[ROW][C]52[/C][C]119.01[/C][C]119.407074462777[/C][C]120.897083333333[/C][C]0.98767539439766[/C][C]0.9966746152641[/C][/ROW]
[ROW][C]53[/C][C]121.27[/C][C]120.203796512468[/C][C]121.274583333333[/C][C]0.991170558649357[/C][C]1.00886996516305[/C][/ROW]
[ROW][C]54[/C][C]123.54[/C][C]123.346192019314[/C][C]121.652083333333[/C][C]1.01392585017503[/C][C]1.00157125224146[/C][/ROW]
[ROW][C]55[/C][C]123.54[/C][C]123.405531316655[/C][C]122.029583333333[/C][C]1.01127552799687[/C][C]1.00108964875326[/C][/ROW]
[ROW][C]56[/C][C]123.54[/C][C]123.464733796921[/C][C]122.407083333333[/C][C]1.00864043513485[/C][C]1.00060961701989[/C][/ROW]
[ROW][C]57[/C][C]123.54[/C][C]123.523799795060[/C][C]122.784583333333[/C][C]1.00602043384975[/C][C]1.00013115047438[/C][/ROW]
[ROW][C]58[/C][C]123.54[/C][C]123.582729647539[/C][C]123.162083333333[/C][C]1.00341538810339[/C][C]0.999654242565604[/C][/ROW]
[ROW][C]59[/C][C]123.54[/C][C]123.551906840285[/C][C]123.445416666667[/C][C]1.00086264987793[/C][C]0.999903628842404[/C][/ROW]
[ROW][C]60[/C][C]123.54[/C][C]123.400480276807[/C][C]123.610833333333[/C][C]0.99829826358375[/C][C]1.00113062544716[/C][/ROW]
[ROW][C]61[/C][C]123.54[/C][C]123.199988690080[/C][C]123.7525[/C][C]0.995535352336965[/C][C]1.00275983231439[/C][/ROW]
[ROW][C]62[/C][C]123.54[/C][C]123.014523335987[/C][C]123.894166666667[/C][C]0.992900042396295[/C][C]1.00427166361957[/C][/ROW]
[ROW][C]63[/C][C]123.54[/C][C]122.830217870813[/C][C]124.035833333333[/C][C]0.990280103498155[/C][C]1.00577856281207[/C][/ROW]
[ROW][C]64[/C][C]123.54[/C][C]122.647061287815[/C][C]124.1775[/C][C]0.98767539439766[/C][C]1.00728055530078[/C][/ROW]
[ROW][C]65[/C][C]123.54[/C][C]123.221497875823[/C][C]124.319166666667[/C][C]0.991170558649357[/C][C]1.00258479347896[/C][/ROW]
[ROW][C]66[/C][C]125.24[/C][C]126.194056250993[/C][C]124.460833333333[/C][C]1.01392585017503[/C][C]0.992439768723376[/C][/ROW]
[ROW][C]67[/C][C]125.24[/C][C]126.00745897723[/C][C]124.6025[/C][C]1.01127552799687[/C][C]0.993909416288056[/C][/ROW]
[ROW][C]68[/C][C]125.24[/C][C]125.822010547201[/C][C]124.744166666667[/C][C]1.00864043513485[/C][C]0.995374334389748[/C][/ROW]
[ROW][C]69[/C][C]125.24[/C][C]125.637700231687[/C][C]124.885833333333[/C][C]1.00602043384975[/C][C]0.996834547027257[/C][/ROW]
[ROW][C]70[/C][C]125.24[/C][C]125.454517436096[/C][C]125.0275[/C][C]1.00341538810339[/C][C]0.99829007802604[/C][/ROW]
[ROW][C]71[/C][C]125.24[/C][C]125.277143833012[/C][C]125.169166666667[/C][C]1.00086264987793[/C][C]0.999703506706204[/C][/ROW]
[ROW][C]72[/C][C]125.24[/C][C]125.156237347885[/C][C]125.369583333333[/C][C]0.99829826358375[/C][C]1.00066926470378[/C][/ROW]
[ROW][C]73[/C][C]125.24[/C][C]125.067861894902[/C][C]125.62875[/C][C]0.995535352336965[/C][C]1.00137635762289[/C][/ROW]
[ROW][C]74[/C][C]125.24[/C][C]124.994117795515[/C][C]125.887916666667[/C][C]0.992900042396295[/C][C]1.00196715020532[/C][/ROW]
[ROW][C]75[/C][C]125.24[/C][C]124.920946739324[/C][C]126.147083333333[/C][C]0.990280103498155[/C][C]1.00255404132777[/C][/ROW]
[ROW][C]76[/C][C]125.24[/C][C]124.848342823079[/C][C]126.40625[/C][C]0.98767539439766[/C][C]1.00313706348090[/C][/ROW]
[ROW][C]77[/C][C]125.24[/C][C]125.547031799054[/C][C]126.665416666667[/C][C]0.991170558649357[/C][C]0.997554447965404[/C][/ROW]
[ROW][C]78[/C][C]128.35[/C][C]128.692116064362[/C][C]126.924583333333[/C][C]1.01392585017503[/C][C]0.997341592672308[/C][/ROW]
[ROW][C]79[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]1.01127552799687[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]1.00864043513485[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]1.00602043384975[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]1.00341538810339[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]1.00086264987793[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]128.35[/C][C]NA[/C][C]NA[/C][C]0.99829826358375[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12894&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12894&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	104.7	NA	NA	0.995535352336965	NA
2	104.7	NA	NA	0.992900042396295	NA
3	104.7	NA	NA	0.990280103498155	NA
4	104.7	NA	NA	0.98767539439766	NA
5	106	NA	NA	0.991170558649357	NA
6	107	NA	NA	1.01392585017503	NA
7	107	107.443811201634	106.245833333333	1.01127552799687	0.995869364678424
8	107	107.357166314666	106.4375	1.00864043513485	0.996673102253661
9	107	107.271120511037	106.629166666667	1.00602043384975	0.99747256754898
10	107	107.185667936694	106.820833333333	1.00341538810339	0.998267791391628
11	107	107.075622492774	106.983333333333	1.00086264987793	0.99929374687708
12	107	106.98845682349	107.170833333333	0.99829826358375	1.00010789179368
13	107	106.932941032894	107.4125	0.995535352336965	1.00062711234217
14	107	106.889826647471	107.654166666667	0.992900042396295	1.0010307187876
15	107	106.847097000353	107.895833333333	0.990280103498155	1.00143104495994
16	107	106.804747961677	108.1375	0.98767539439766	1.00182812133402
17	107.6	107.422239170952	108.379166666667	0.991170558649357	1.00165478610779
18	109.9	110.133470784220	108.620833333333	1.01392585017503	0.99788011053717
19	109.9	110.089982166559	108.8625	1.01127552799687	0.998274301050644
20	109.9	110.046874141692	109.104166666667	1.00864043513485	0.998665349262872
21	109.9	110.004142689662	109.345833333333	1.00602043384975	0.9990532839299
22	109.9	109.961783843780	109.5875	1.00341538810339	0.999438133489469
23	109.9	109.928081044926	109.833333333333	1.00086264987793	0.999744550758467
24	109.9	109.954234581553	110.141666666667	0.99829826358375	0.999506753134522
25	109.9	110.014952561171	110.508333333333	0.995535352336965	0.998955118749819
26	109.9	110.087792200689	110.875	0.992900042396295	0.998294159625376
27	109.9	110.160409179974	111.241666666667	0.990280103498155	0.997636091024785
28	109.9	110.232804643066	111.608333333333	0.98767539439766	0.996980892900773
29	110.6	110.986323304762	111.975	0.991170558649357	0.99651918098322
30	114.3	113.90611988508	112.341666666667	1.01392585017503	1.00345793637179
31	114.3	113.979179301314	112.708333333333	1.01127552799687	1.00281473073111
32	114.3	114.052017202873	113.075	1.00864043513485	1.00217429558204
33	114.3	114.124634716638	113.441666666667	1.00602043384975	1.00153661200141
34	114.3	114.197032961066	113.808333333333	1.00341538810339	1.00090166124516
35	114.3	114.244301222525	114.145833333333	1.00086264987793	1.00048754097035
36	114.3	114.301407561851	114.49625	0.99829826358375	0.999987685524781
37	114.3	114.375812210803	114.88875	0.995535352336965	0.999337165705423
38	114.3	114.462758012498	115.28125	0.992900042396295	0.998578070148544
39	114.3	114.549413122020	115.67375	0.990280103498155	0.997822659102111
40	114.3	114.635779245008	116.06625	0.98767539439766	0.997070903628702
41	114.3	115.430484297106	116.45875	0.991170558649357	0.99020636269535
42	119.01	118.478503000265	116.85125	1.01392585017503	1.00448602055458
43	119.01	118.565735185583	117.24375	1.01127552799687	1.00374699160530
44	119.01	118.652678387632	117.63625	1.00864043513485	1.00301149217383
45	119.01	118.739334281743	118.02875	1.00602043384975	1.00227949499544
46	119.01	118.825704528438	118.42125	1.00341538810339	1.00155097310210
47	119.01	119.010492566464	118.907916666667	1.00086264987793	0.999995861150948
48	119.01	119.183917985995	119.387083333333	0.99829826358375	0.998540759618127
49	119.01	119.229876666240	119.764583333333	0.995535352336965	0.998155859316576
50	119.01	119.289079635246	120.142083333333	0.992900042396295	0.997660476247287
51	119.01	119.348145456888	120.519583333333	0.990280103498155	0.997166730529466
52	119.01	119.407074462777	120.897083333333	0.98767539439766	0.9966746152641
53	121.27	120.203796512468	121.274583333333	0.991170558649357	1.00886996516305
54	123.54	123.346192019314	121.652083333333	1.01392585017503	1.00157125224146
55	123.54	123.405531316655	122.029583333333	1.01127552799687	1.00108964875326
56	123.54	123.464733796921	122.407083333333	1.00864043513485	1.00060961701989
57	123.54	123.523799795060	122.784583333333	1.00602043384975	1.00013115047438
58	123.54	123.582729647539	123.162083333333	1.00341538810339	0.999654242565604
59	123.54	123.551906840285	123.445416666667	1.00086264987793	0.999903628842404
60	123.54	123.400480276807	123.610833333333	0.99829826358375	1.00113062544716
61	123.54	123.199988690080	123.7525	0.995535352336965	1.00275983231439
62	123.54	123.014523335987	123.894166666667	0.992900042396295	1.00427166361957
63	123.54	122.830217870813	124.035833333333	0.990280103498155	1.00577856281207
64	123.54	122.647061287815	124.1775	0.98767539439766	1.00728055530078
65	123.54	123.221497875823	124.319166666667	0.991170558649357	1.00258479347896
66	125.24	126.194056250993	124.460833333333	1.01392585017503	0.992439768723376
67	125.24	126.00745897723	124.6025	1.01127552799687	0.993909416288056
68	125.24	125.822010547201	124.744166666667	1.00864043513485	0.995374334389748
69	125.24	125.637700231687	124.885833333333	1.00602043384975	0.996834547027257
70	125.24	125.454517436096	125.0275	1.00341538810339	0.99829007802604
71	125.24	125.277143833012	125.169166666667	1.00086264987793	0.999703506706204
72	125.24	125.156237347885	125.369583333333	0.99829826358375	1.00066926470378
73	125.24	125.067861894902	125.62875	0.995535352336965	1.00137635762289
74	125.24	124.994117795515	125.887916666667	0.992900042396295	1.00196715020532
75	125.24	124.920946739324	126.147083333333	0.990280103498155	1.00255404132777
76	125.24	124.848342823079	126.40625	0.98767539439766	1.00313706348090
77	125.24	125.547031799054	126.665416666667	0.991170558649357	0.997554447965404
78	128.35	128.692116064362	126.924583333333	1.01392585017503	0.997341592672308
79	128.35	NA	NA	1.01127552799687	NA
80	128.35	NA	NA	1.00864043513485	NA
81	128.35	NA	NA	1.00602043384975	NA
82	128.35	NA	NA	1.00341538810339	NA
83	128.35	NA	NA	1.00086264987793	NA
84	128.35	NA	NA	0.99829826358375	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