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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Fri, 11 Dec 2009 08:40:47 -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/2009/Dec/11/t1260546397e6owozl2sumasc0.htm/, Retrieved Sun, 28 Apr 2024 19:46:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66407, Retrieved Sun, 28 Apr 2024 19:46:53 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

150

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D    [Classical Decomposition] [Klassiek decompos...] [2009-12-01 19:46:49] [d46757a0a8c9b00540ab7e7e0c34bfc4]
-    D      [Classical Decomposition] [klassieke decompo...] [2009-12-04 18:39:30] [4f1a20f787b3465111b61213cdeef1a9]
-    D          [Classical Decomposition] [Klassieke decompo...] [2009-12-11 15:40:47] [d1818fb1d9a1b0f34f8553ada228d3d5] [Current]
-    D            [Classical Decomposition] [Klassieke decompo...] [2009-12-11 16:38:20] [4f1a20f787b3465111b61213cdeef1a9] 

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Dataseries X:

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Boxplots

8.3
8.2
8
7.9
7.6
7.6
8.3
8.4
8.4
8.4
8.4
8.6
8.9
8.8
8.3
7.5
7.2
7.4
8.8
9.3
9.3
8.7
8.2
8.3
8.5
8.6
8.5
8.2
8.1
7.9
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9

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=66407&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=66407&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66407&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	8.3	NA	NA	1.03524932354549	NA
2	8.2	NA	NA	1.03033694048115	NA
3	8	NA	NA	1.00374983725856	NA
4	7.9	NA	NA	0.96901694619278	NA
5	7.6	NA	NA	0.941845105965402	NA
6	7.6	NA	NA	0.936410597347787	NA
7	8.3	8.35498930226754	8.2	1.01890113442287	0.99341838747147
8	8.4	8.49886391056049	8.25	1.03016532249218	0.988367396913175
9	8.4	8.49054246786196	8.2875	1.02449984529254	0.98933607973758
10	8.4	8.3322035830397	8.28333333333333	1.00589982893839	1.00813667312430
11	8.4	8.18980512565796	8.25	0.992703651594904	1.02566543050988
12	8.6	8.31729656169873	8.225	1.01122146646793	1.03398982303975
13	8.9	8.52786630270601	8.2375	1.03524932354549	1.04363737470602
14	8.8	8.54750353540822	8.29583333333333	1.03033694048115	1.02954037556648
15	8.3	8.40222259605186	8.37083333333333	1.00374983725856	0.98783386242351
16	7.5	8.15993020106504	8.42083333333333	0.96901694619278	0.919125509066376
17	7.2	7.93504501775851	8.425	0.941845105965402	0.907367252975441
18	7.4	7.8697507285437	8.40416666666667	0.936410597347787	0.940309325574964
19	8.8	8.53329700079154	8.375	1.01890113442287	1.03125439079218
20	9.3	8.6018804428097	8.35	1.03016532249218	1.08115894679446
21	9.3	8.55457370819275	8.35	1.02449984529254	1.08713774844132
22	8.7	8.43698481522078	8.3875	1.00589982893839	1.03117407350369
23	8.2	8.39248212119192	8.45416666666667	0.992703651594904	0.977064935210778
24	8.3	8.60802273330826	8.5125	1.01122146646793	0.964216784405508
25	8.5	8.82550048322534	8.525	1.03524932354549	0.963118184193177
26	8.6	8.74927785291911	8.49166666666667	1.03033694048115	0.982938265828499
27	8.5	8.47332154285767	8.44166666666666	1.00374983725856	1.00314852410680
28	8.2	8.14781748923763	8.40833333333333	0.96901694619278	1.00640447712916
29	8.1	7.91934759932576	8.40833333333333	0.941845105965402	1.02281152562234
30	7.9	7.8892592826551	8.425	0.936410597347787	1.00136143546055
31	8.6	8.6012237430864	8.44166666666666	1.01890113442287	0.999857724537467
32	8.7	8.70918933056931	8.45416666666667	1.03016532249218	0.99894486958309
33	8.7	8.66982994078816	8.4625	1.02449984529254	1.00347989054202
34	8.5	8.52919229954013	8.47916666666667	1.00589982893839	0.99657736647095
35	8.4	8.43798103855669	8.5	0.992703651594904	0.995498800200767
36	8.5	8.60802273330826	8.5125	1.01122146646793	0.987450923788773
37	8.7	8.7996192501367	8.5	1.03524932354549	0.988679140846332
38	8.7	8.7149332882364	8.45833333333333	1.03033694048115	0.998286471308213
39	8.6	8.43986321494906	8.40833333333333	1.00374983725856	1.01897386023595
40	8.5	8.10340421253712	8.3625	0.96901694619278	1.04894187394099
41	8.3	7.83693615255378	8.32083333333333	0.941845105965402	1.05908735741012
42	8	7.74879769305294	8.275	0.936410597347787	1.03241823014327
43	8.2	8.37621640923468	8.22083333333333	1.01890113442287	0.978962290296081
44	8.1	8.40872444484243	8.1625	1.03016532249218	0.963285222762677
45	8.1	8.302717496225	8.10416666666667	1.02449984529254	0.975584199231497
46	8	8.10168487224131	8.05416666666667	1.00589982893839	0.98744892280497
47	7.9	7.94990174318919	8.00833333333333	0.992703651594904	0.993722973591222
48	7.9	8.03921065842005	7.95	1.01122146646793	0.98268354141532
49	8	8.16552903946509	7.8875	1.03524932354549	0.979728314152694
50	8	8.06238655926501	7.825	1.03033694048115	0.992262023309547
51	7.9	7.77487894776526	7.74583333333333	1.00374983725856	1.01609299039578
52	8	7.42105477959304	7.65833333333333	0.96901694619278	1.07801387236744
53	7.7	7.13840103229611	7.57916666666667	0.941845105965402	1.07867293602069
54	7.2	7.03478461257525	7.5125	0.936410597347787	1.02348549337664
55	7.5	7.59505887284381	7.45416666666667	1.01890113442287	0.987484116392607
56	7.3	7.61034631991098	7.3875	1.03016532249218	0.959220473436403
57	7	7.48311761999096	7.30416666666667	1.02449984529254	0.935438991537388
58	7	7.23409626978195	7.19166666666667	1.00589982893839	0.967639873585895
59	7	7.00683327417403	7.05833333333333	0.992703651594904	0.999024769977157
60	7.2	7.04062946028296	6.9625	1.01122146646793	1.02263583684045
61	7.3	7.18635572094498	6.94166666666667	1.03524932354549	1.01581389559159
62	7.1	7.18660015985603	6.975	1.03033694048115	0.987949773477064
63	6.8	7.0471603157528	7.02083333333333	1.00374983725856	0.964927672327772
64	6.4	6.81945675883169	7.0375	0.96901694619278	0.93849117698584
65	6.1	6.60861316019057	7.01666666666667	0.941845105965402	0.92303783746121
66	6.5	6.54316904896766	6.9875	0.936410597347787	0.993402424934371
67	7.7	NA	NA	1.01890113442287	NA
68	7.9	NA	NA	1.03016532249218	NA
69	7.5	NA	NA	1.02449984529254	NA
70	6.9	NA	NA	1.00589982893839	NA
71	6.6	NA	NA	0.992703651594904	NA
72	6.9	NA	NA	1.01122146646793	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 8.3 & NA & NA & 1.03524932354549 & NA \tabularnewline
2 & 8.2 & NA & NA & 1.03033694048115 & NA \tabularnewline
3 & 8 & NA & NA & 1.00374983725856 & NA \tabularnewline
4 & 7.9 & NA & NA & 0.96901694619278 & NA \tabularnewline
5 & 7.6 & NA & NA & 0.941845105965402 & NA \tabularnewline
6 & 7.6 & NA & NA & 0.936410597347787 & NA \tabularnewline
7 & 8.3 & 8.35498930226754 & 8.2 & 1.01890113442287 & 0.99341838747147 \tabularnewline
8 & 8.4 & 8.49886391056049 & 8.25 & 1.03016532249218 & 0.988367396913175 \tabularnewline
9 & 8.4 & 8.49054246786196 & 8.2875 & 1.02449984529254 & 0.98933607973758 \tabularnewline
10 & 8.4 & 8.3322035830397 & 8.28333333333333 & 1.00589982893839 & 1.00813667312430 \tabularnewline
11 & 8.4 & 8.18980512565796 & 8.25 & 0.992703651594904 & 1.02566543050988 \tabularnewline
12 & 8.6 & 8.31729656169873 & 8.225 & 1.01122146646793 & 1.03398982303975 \tabularnewline
13 & 8.9 & 8.52786630270601 & 8.2375 & 1.03524932354549 & 1.04363737470602 \tabularnewline
14 & 8.8 & 8.54750353540822 & 8.29583333333333 & 1.03033694048115 & 1.02954037556648 \tabularnewline
15 & 8.3 & 8.40222259605186 & 8.37083333333333 & 1.00374983725856 & 0.98783386242351 \tabularnewline
16 & 7.5 & 8.15993020106504 & 8.42083333333333 & 0.96901694619278 & 0.919125509066376 \tabularnewline
17 & 7.2 & 7.93504501775851 & 8.425 & 0.941845105965402 & 0.907367252975441 \tabularnewline
18 & 7.4 & 7.8697507285437 & 8.40416666666667 & 0.936410597347787 & 0.940309325574964 \tabularnewline
19 & 8.8 & 8.53329700079154 & 8.375 & 1.01890113442287 & 1.03125439079218 \tabularnewline
20 & 9.3 & 8.6018804428097 & 8.35 & 1.03016532249218 & 1.08115894679446 \tabularnewline
21 & 9.3 & 8.55457370819275 & 8.35 & 1.02449984529254 & 1.08713774844132 \tabularnewline
22 & 8.7 & 8.43698481522078 & 8.3875 & 1.00589982893839 & 1.03117407350369 \tabularnewline
23 & 8.2 & 8.39248212119192 & 8.45416666666667 & 0.992703651594904 & 0.977064935210778 \tabularnewline
24 & 8.3 & 8.60802273330826 & 8.5125 & 1.01122146646793 & 0.964216784405508 \tabularnewline
25 & 8.5 & 8.82550048322534 & 8.525 & 1.03524932354549 & 0.963118184193177 \tabularnewline
26 & 8.6 & 8.74927785291911 & 8.49166666666667 & 1.03033694048115 & 0.982938265828499 \tabularnewline
27 & 8.5 & 8.47332154285767 & 8.44166666666666 & 1.00374983725856 & 1.00314852410680 \tabularnewline
28 & 8.2 & 8.14781748923763 & 8.40833333333333 & 0.96901694619278 & 1.00640447712916 \tabularnewline
29 & 8.1 & 7.91934759932576 & 8.40833333333333 & 0.941845105965402 & 1.02281152562234 \tabularnewline
30 & 7.9 & 7.8892592826551 & 8.425 & 0.936410597347787 & 1.00136143546055 \tabularnewline
31 & 8.6 & 8.6012237430864 & 8.44166666666666 & 1.01890113442287 & 0.999857724537467 \tabularnewline
32 & 8.7 & 8.70918933056931 & 8.45416666666667 & 1.03016532249218 & 0.99894486958309 \tabularnewline
33 & 8.7 & 8.66982994078816 & 8.4625 & 1.02449984529254 & 1.00347989054202 \tabularnewline
34 & 8.5 & 8.52919229954013 & 8.47916666666667 & 1.00589982893839 & 0.99657736647095 \tabularnewline
35 & 8.4 & 8.43798103855669 & 8.5 & 0.992703651594904 & 0.995498800200767 \tabularnewline
36 & 8.5 & 8.60802273330826 & 8.5125 & 1.01122146646793 & 0.987450923788773 \tabularnewline
37 & 8.7 & 8.7996192501367 & 8.5 & 1.03524932354549 & 0.988679140846332 \tabularnewline
38 & 8.7 & 8.7149332882364 & 8.45833333333333 & 1.03033694048115 & 0.998286471308213 \tabularnewline
39 & 8.6 & 8.43986321494906 & 8.40833333333333 & 1.00374983725856 & 1.01897386023595 \tabularnewline
40 & 8.5 & 8.10340421253712 & 8.3625 & 0.96901694619278 & 1.04894187394099 \tabularnewline
41 & 8.3 & 7.83693615255378 & 8.32083333333333 & 0.941845105965402 & 1.05908735741012 \tabularnewline
42 & 8 & 7.74879769305294 & 8.275 & 0.936410597347787 & 1.03241823014327 \tabularnewline
43 & 8.2 & 8.37621640923468 & 8.22083333333333 & 1.01890113442287 & 0.978962290296081 \tabularnewline
44 & 8.1 & 8.40872444484243 & 8.1625 & 1.03016532249218 & 0.963285222762677 \tabularnewline
45 & 8.1 & 8.302717496225 & 8.10416666666667 & 1.02449984529254 & 0.975584199231497 \tabularnewline
46 & 8 & 8.10168487224131 & 8.05416666666667 & 1.00589982893839 & 0.98744892280497 \tabularnewline
47 & 7.9 & 7.94990174318919 & 8.00833333333333 & 0.992703651594904 & 0.993722973591222 \tabularnewline
48 & 7.9 & 8.03921065842005 & 7.95 & 1.01122146646793 & 0.98268354141532 \tabularnewline
49 & 8 & 8.16552903946509 & 7.8875 & 1.03524932354549 & 0.979728314152694 \tabularnewline
50 & 8 & 8.06238655926501 & 7.825 & 1.03033694048115 & 0.992262023309547 \tabularnewline
51 & 7.9 & 7.77487894776526 & 7.74583333333333 & 1.00374983725856 & 1.01609299039578 \tabularnewline
52 & 8 & 7.42105477959304 & 7.65833333333333 & 0.96901694619278 & 1.07801387236744 \tabularnewline
53 & 7.7 & 7.13840103229611 & 7.57916666666667 & 0.941845105965402 & 1.07867293602069 \tabularnewline
54 & 7.2 & 7.03478461257525 & 7.5125 & 0.936410597347787 & 1.02348549337664 \tabularnewline
55 & 7.5 & 7.59505887284381 & 7.45416666666667 & 1.01890113442287 & 0.987484116392607 \tabularnewline
56 & 7.3 & 7.61034631991098 & 7.3875 & 1.03016532249218 & 0.959220473436403 \tabularnewline
57 & 7 & 7.48311761999096 & 7.30416666666667 & 1.02449984529254 & 0.935438991537388 \tabularnewline
58 & 7 & 7.23409626978195 & 7.19166666666667 & 1.00589982893839 & 0.967639873585895 \tabularnewline
59 & 7 & 7.00683327417403 & 7.05833333333333 & 0.992703651594904 & 0.999024769977157 \tabularnewline
60 & 7.2 & 7.04062946028296 & 6.9625 & 1.01122146646793 & 1.02263583684045 \tabularnewline
61 & 7.3 & 7.18635572094498 & 6.94166666666667 & 1.03524932354549 & 1.01581389559159 \tabularnewline
62 & 7.1 & 7.18660015985603 & 6.975 & 1.03033694048115 & 0.987949773477064 \tabularnewline
63 & 6.8 & 7.0471603157528 & 7.02083333333333 & 1.00374983725856 & 0.964927672327772 \tabularnewline
64 & 6.4 & 6.81945675883169 & 7.0375 & 0.96901694619278 & 0.93849117698584 \tabularnewline
65 & 6.1 & 6.60861316019057 & 7.01666666666667 & 0.941845105965402 & 0.92303783746121 \tabularnewline
66 & 6.5 & 6.54316904896766 & 6.9875 & 0.936410597347787 & 0.993402424934371 \tabularnewline
67 & 7.7 & NA & NA & 1.01890113442287 & NA \tabularnewline
68 & 7.9 & NA & NA & 1.03016532249218 & NA \tabularnewline
69 & 7.5 & NA & NA & 1.02449984529254 & NA \tabularnewline
70 & 6.9 & NA & NA & 1.00589982893839 & NA \tabularnewline
71 & 6.6 & NA & NA & 0.992703651594904 & NA \tabularnewline
72 & 6.9 & NA & NA & 1.01122146646793 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66407&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]8.3[/C][C]NA[/C][C]NA[/C][C]1.03524932354549[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]8.2[/C][C]NA[/C][C]NA[/C][C]1.03033694048115[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8[/C][C]NA[/C][C]NA[/C][C]1.00374983725856[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]7.9[/C][C]NA[/C][C]NA[/C][C]0.96901694619278[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7.6[/C][C]NA[/C][C]NA[/C][C]0.941845105965402[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7.6[/C][C]NA[/C][C]NA[/C][C]0.936410597347787[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]8.3[/C][C]8.35498930226754[/C][C]8.2[/C][C]1.01890113442287[/C][C]0.99341838747147[/C][/ROW]
[ROW][C]8[/C][C]8.4[/C][C]8.49886391056049[/C][C]8.25[/C][C]1.03016532249218[/C][C]0.988367396913175[/C][/ROW]
[ROW][C]9[/C][C]8.4[/C][C]8.49054246786196[/C][C]8.2875[/C][C]1.02449984529254[/C][C]0.98933607973758[/C][/ROW]
[ROW][C]10[/C][C]8.4[/C][C]8.3322035830397[/C][C]8.28333333333333[/C][C]1.00589982893839[/C][C]1.00813667312430[/C][/ROW]
[ROW][C]11[/C][C]8.4[/C][C]8.18980512565796[/C][C]8.25[/C][C]0.992703651594904[/C][C]1.02566543050988[/C][/ROW]
[ROW][C]12[/C][C]8.6[/C][C]8.31729656169873[/C][C]8.225[/C][C]1.01122146646793[/C][C]1.03398982303975[/C][/ROW]
[ROW][C]13[/C][C]8.9[/C][C]8.52786630270601[/C][C]8.2375[/C][C]1.03524932354549[/C][C]1.04363737470602[/C][/ROW]
[ROW][C]14[/C][C]8.8[/C][C]8.54750353540822[/C][C]8.29583333333333[/C][C]1.03033694048115[/C][C]1.02954037556648[/C][/ROW]
[ROW][C]15[/C][C]8.3[/C][C]8.40222259605186[/C][C]8.37083333333333[/C][C]1.00374983725856[/C][C]0.98783386242351[/C][/ROW]
[ROW][C]16[/C][C]7.5[/C][C]8.15993020106504[/C][C]8.42083333333333[/C][C]0.96901694619278[/C][C]0.919125509066376[/C][/ROW]
[ROW][C]17[/C][C]7.2[/C][C]7.93504501775851[/C][C]8.425[/C][C]0.941845105965402[/C][C]0.907367252975441[/C][/ROW]
[ROW][C]18[/C][C]7.4[/C][C]7.8697507285437[/C][C]8.40416666666667[/C][C]0.936410597347787[/C][C]0.940309325574964[/C][/ROW]
[ROW][C]19[/C][C]8.8[/C][C]8.53329700079154[/C][C]8.375[/C][C]1.01890113442287[/C][C]1.03125439079218[/C][/ROW]
[ROW][C]20[/C][C]9.3[/C][C]8.6018804428097[/C][C]8.35[/C][C]1.03016532249218[/C][C]1.08115894679446[/C][/ROW]
[ROW][C]21[/C][C]9.3[/C][C]8.55457370819275[/C][C]8.35[/C][C]1.02449984529254[/C][C]1.08713774844132[/C][/ROW]
[ROW][C]22[/C][C]8.7[/C][C]8.43698481522078[/C][C]8.3875[/C][C]1.00589982893839[/C][C]1.03117407350369[/C][/ROW]
[ROW][C]23[/C][C]8.2[/C][C]8.39248212119192[/C][C]8.45416666666667[/C][C]0.992703651594904[/C][C]0.977064935210778[/C][/ROW]
[ROW][C]24[/C][C]8.3[/C][C]8.60802273330826[/C][C]8.5125[/C][C]1.01122146646793[/C][C]0.964216784405508[/C][/ROW]
[ROW][C]25[/C][C]8.5[/C][C]8.82550048322534[/C][C]8.525[/C][C]1.03524932354549[/C][C]0.963118184193177[/C][/ROW]
[ROW][C]26[/C][C]8.6[/C][C]8.74927785291911[/C][C]8.49166666666667[/C][C]1.03033694048115[/C][C]0.982938265828499[/C][/ROW]
[ROW][C]27[/C][C]8.5[/C][C]8.47332154285767[/C][C]8.44166666666666[/C][C]1.00374983725856[/C][C]1.00314852410680[/C][/ROW]
[ROW][C]28[/C][C]8.2[/C][C]8.14781748923763[/C][C]8.40833333333333[/C][C]0.96901694619278[/C][C]1.00640447712916[/C][/ROW]
[ROW][C]29[/C][C]8.1[/C][C]7.91934759932576[/C][C]8.40833333333333[/C][C]0.941845105965402[/C][C]1.02281152562234[/C][/ROW]
[ROW][C]30[/C][C]7.9[/C][C]7.8892592826551[/C][C]8.425[/C][C]0.936410597347787[/C][C]1.00136143546055[/C][/ROW]
[ROW][C]31[/C][C]8.6[/C][C]8.6012237430864[/C][C]8.44166666666666[/C][C]1.01890113442287[/C][C]0.999857724537467[/C][/ROW]
[ROW][C]32[/C][C]8.7[/C][C]8.70918933056931[/C][C]8.45416666666667[/C][C]1.03016532249218[/C][C]0.99894486958309[/C][/ROW]
[ROW][C]33[/C][C]8.7[/C][C]8.66982994078816[/C][C]8.4625[/C][C]1.02449984529254[/C][C]1.00347989054202[/C][/ROW]
[ROW][C]34[/C][C]8.5[/C][C]8.52919229954013[/C][C]8.47916666666667[/C][C]1.00589982893839[/C][C]0.99657736647095[/C][/ROW]
[ROW][C]35[/C][C]8.4[/C][C]8.43798103855669[/C][C]8.5[/C][C]0.992703651594904[/C][C]0.995498800200767[/C][/ROW]
[ROW][C]36[/C][C]8.5[/C][C]8.60802273330826[/C][C]8.5125[/C][C]1.01122146646793[/C][C]0.987450923788773[/C][/ROW]
[ROW][C]37[/C][C]8.7[/C][C]8.7996192501367[/C][C]8.5[/C][C]1.03524932354549[/C][C]0.988679140846332[/C][/ROW]
[ROW][C]38[/C][C]8.7[/C][C]8.7149332882364[/C][C]8.45833333333333[/C][C]1.03033694048115[/C][C]0.998286471308213[/C][/ROW]
[ROW][C]39[/C][C]8.6[/C][C]8.43986321494906[/C][C]8.40833333333333[/C][C]1.00374983725856[/C][C]1.01897386023595[/C][/ROW]
[ROW][C]40[/C][C]8.5[/C][C]8.10340421253712[/C][C]8.3625[/C][C]0.96901694619278[/C][C]1.04894187394099[/C][/ROW]
[ROW][C]41[/C][C]8.3[/C][C]7.83693615255378[/C][C]8.32083333333333[/C][C]0.941845105965402[/C][C]1.05908735741012[/C][/ROW]
[ROW][C]42[/C][C]8[/C][C]7.74879769305294[/C][C]8.275[/C][C]0.936410597347787[/C][C]1.03241823014327[/C][/ROW]
[ROW][C]43[/C][C]8.2[/C][C]8.37621640923468[/C][C]8.22083333333333[/C][C]1.01890113442287[/C][C]0.978962290296081[/C][/ROW]
[ROW][C]44[/C][C]8.1[/C][C]8.40872444484243[/C][C]8.1625[/C][C]1.03016532249218[/C][C]0.963285222762677[/C][/ROW]
[ROW][C]45[/C][C]8.1[/C][C]8.302717496225[/C][C]8.10416666666667[/C][C]1.02449984529254[/C][C]0.975584199231497[/C][/ROW]
[ROW][C]46[/C][C]8[/C][C]8.10168487224131[/C][C]8.05416666666667[/C][C]1.00589982893839[/C][C]0.98744892280497[/C][/ROW]
[ROW][C]47[/C][C]7.9[/C][C]7.94990174318919[/C][C]8.00833333333333[/C][C]0.992703651594904[/C][C]0.993722973591222[/C][/ROW]
[ROW][C]48[/C][C]7.9[/C][C]8.03921065842005[/C][C]7.95[/C][C]1.01122146646793[/C][C]0.98268354141532[/C][/ROW]
[ROW][C]49[/C][C]8[/C][C]8.16552903946509[/C][C]7.8875[/C][C]1.03524932354549[/C][C]0.979728314152694[/C][/ROW]
[ROW][C]50[/C][C]8[/C][C]8.06238655926501[/C][C]7.825[/C][C]1.03033694048115[/C][C]0.992262023309547[/C][/ROW]
[ROW][C]51[/C][C]7.9[/C][C]7.77487894776526[/C][C]7.74583333333333[/C][C]1.00374983725856[/C][C]1.01609299039578[/C][/ROW]
[ROW][C]52[/C][C]8[/C][C]7.42105477959304[/C][C]7.65833333333333[/C][C]0.96901694619278[/C][C]1.07801387236744[/C][/ROW]
[ROW][C]53[/C][C]7.7[/C][C]7.13840103229611[/C][C]7.57916666666667[/C][C]0.941845105965402[/C][C]1.07867293602069[/C][/ROW]
[ROW][C]54[/C][C]7.2[/C][C]7.03478461257525[/C][C]7.5125[/C][C]0.936410597347787[/C][C]1.02348549337664[/C][/ROW]
[ROW][C]55[/C][C]7.5[/C][C]7.59505887284381[/C][C]7.45416666666667[/C][C]1.01890113442287[/C][C]0.987484116392607[/C][/ROW]
[ROW][C]56[/C][C]7.3[/C][C]7.61034631991098[/C][C]7.3875[/C][C]1.03016532249218[/C][C]0.959220473436403[/C][/ROW]
[ROW][C]57[/C][C]7[/C][C]7.48311761999096[/C][C]7.30416666666667[/C][C]1.02449984529254[/C][C]0.935438991537388[/C][/ROW]
[ROW][C]58[/C][C]7[/C][C]7.23409626978195[/C][C]7.19166666666667[/C][C]1.00589982893839[/C][C]0.967639873585895[/C][/ROW]
[ROW][C]59[/C][C]7[/C][C]7.00683327417403[/C][C]7.05833333333333[/C][C]0.992703651594904[/C][C]0.999024769977157[/C][/ROW]
[ROW][C]60[/C][C]7.2[/C][C]7.04062946028296[/C][C]6.9625[/C][C]1.01122146646793[/C][C]1.02263583684045[/C][/ROW]
[ROW][C]61[/C][C]7.3[/C][C]7.18635572094498[/C][C]6.94166666666667[/C][C]1.03524932354549[/C][C]1.01581389559159[/C][/ROW]
[ROW][C]62[/C][C]7.1[/C][C]7.18660015985603[/C][C]6.975[/C][C]1.03033694048115[/C][C]0.987949773477064[/C][/ROW]
[ROW][C]63[/C][C]6.8[/C][C]7.0471603157528[/C][C]7.02083333333333[/C][C]1.00374983725856[/C][C]0.964927672327772[/C][/ROW]
[ROW][C]64[/C][C]6.4[/C][C]6.81945675883169[/C][C]7.0375[/C][C]0.96901694619278[/C][C]0.93849117698584[/C][/ROW]
[ROW][C]65[/C][C]6.1[/C][C]6.60861316019057[/C][C]7.01666666666667[/C][C]0.941845105965402[/C][C]0.92303783746121[/C][/ROW]
[ROW][C]66[/C][C]6.5[/C][C]6.54316904896766[/C][C]6.9875[/C][C]0.936410597347787[/C][C]0.993402424934371[/C][/ROW]
[ROW][C]67[/C][C]7.7[/C][C]NA[/C][C]NA[/C][C]1.01890113442287[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]7.9[/C][C]NA[/C][C]NA[/C][C]1.03016532249218[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]7.5[/C][C]NA[/C][C]NA[/C][C]1.02449984529254[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]6.9[/C][C]NA[/C][C]NA[/C][C]1.00589982893839[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]6.6[/C][C]NA[/C][C]NA[/C][C]0.992703651594904[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]6.9[/C][C]NA[/C][C]NA[/C][C]1.01122146646793[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66407&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66407&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	8.3	NA	NA	1.03524932354549	NA
2	8.2	NA	NA	1.03033694048115	NA
3	8	NA	NA	1.00374983725856	NA
4	7.9	NA	NA	0.96901694619278	NA
5	7.6	NA	NA	0.941845105965402	NA
6	7.6	NA	NA	0.936410597347787	NA
7	8.3	8.35498930226754	8.2	1.01890113442287	0.99341838747147
8	8.4	8.49886391056049	8.25	1.03016532249218	0.988367396913175
9	8.4	8.49054246786196	8.2875	1.02449984529254	0.98933607973758
10	8.4	8.3322035830397	8.28333333333333	1.00589982893839	1.00813667312430
11	8.4	8.18980512565796	8.25	0.992703651594904	1.02566543050988
12	8.6	8.31729656169873	8.225	1.01122146646793	1.03398982303975
13	8.9	8.52786630270601	8.2375	1.03524932354549	1.04363737470602
14	8.8	8.54750353540822	8.29583333333333	1.03033694048115	1.02954037556648
15	8.3	8.40222259605186	8.37083333333333	1.00374983725856	0.98783386242351
16	7.5	8.15993020106504	8.42083333333333	0.96901694619278	0.919125509066376
17	7.2	7.93504501775851	8.425	0.941845105965402	0.907367252975441
18	7.4	7.8697507285437	8.40416666666667	0.936410597347787	0.940309325574964
19	8.8	8.53329700079154	8.375	1.01890113442287	1.03125439079218
20	9.3	8.6018804428097	8.35	1.03016532249218	1.08115894679446
21	9.3	8.55457370819275	8.35	1.02449984529254	1.08713774844132
22	8.7	8.43698481522078	8.3875	1.00589982893839	1.03117407350369
23	8.2	8.39248212119192	8.45416666666667	0.992703651594904	0.977064935210778
24	8.3	8.60802273330826	8.5125	1.01122146646793	0.964216784405508
25	8.5	8.82550048322534	8.525	1.03524932354549	0.963118184193177
26	8.6	8.74927785291911	8.49166666666667	1.03033694048115	0.982938265828499
27	8.5	8.47332154285767	8.44166666666666	1.00374983725856	1.00314852410680
28	8.2	8.14781748923763	8.40833333333333	0.96901694619278	1.00640447712916
29	8.1	7.91934759932576	8.40833333333333	0.941845105965402	1.02281152562234
30	7.9	7.8892592826551	8.425	0.936410597347787	1.00136143546055
31	8.6	8.6012237430864	8.44166666666666	1.01890113442287	0.999857724537467
32	8.7	8.70918933056931	8.45416666666667	1.03016532249218	0.99894486958309
33	8.7	8.66982994078816	8.4625	1.02449984529254	1.00347989054202
34	8.5	8.52919229954013	8.47916666666667	1.00589982893839	0.99657736647095
35	8.4	8.43798103855669	8.5	0.992703651594904	0.995498800200767
36	8.5	8.60802273330826	8.5125	1.01122146646793	0.987450923788773
37	8.7	8.7996192501367	8.5	1.03524932354549	0.988679140846332
38	8.7	8.7149332882364	8.45833333333333	1.03033694048115	0.998286471308213
39	8.6	8.43986321494906	8.40833333333333	1.00374983725856	1.01897386023595
40	8.5	8.10340421253712	8.3625	0.96901694619278	1.04894187394099
41	8.3	7.83693615255378	8.32083333333333	0.941845105965402	1.05908735741012
42	8	7.74879769305294	8.275	0.936410597347787	1.03241823014327
43	8.2	8.37621640923468	8.22083333333333	1.01890113442287	0.978962290296081
44	8.1	8.40872444484243	8.1625	1.03016532249218	0.963285222762677
45	8.1	8.302717496225	8.10416666666667	1.02449984529254	0.975584199231497
46	8	8.10168487224131	8.05416666666667	1.00589982893839	0.98744892280497
47	7.9	7.94990174318919	8.00833333333333	0.992703651594904	0.993722973591222
48	7.9	8.03921065842005	7.95	1.01122146646793	0.98268354141532
49	8	8.16552903946509	7.8875	1.03524932354549	0.979728314152694
50	8	8.06238655926501	7.825	1.03033694048115	0.992262023309547
51	7.9	7.77487894776526	7.74583333333333	1.00374983725856	1.01609299039578
52	8	7.42105477959304	7.65833333333333	0.96901694619278	1.07801387236744
53	7.7	7.13840103229611	7.57916666666667	0.941845105965402	1.07867293602069
54	7.2	7.03478461257525	7.5125	0.936410597347787	1.02348549337664
55	7.5	7.59505887284381	7.45416666666667	1.01890113442287	0.987484116392607
56	7.3	7.61034631991098	7.3875	1.03016532249218	0.959220473436403
57	7	7.48311761999096	7.30416666666667	1.02449984529254	0.935438991537388
58	7	7.23409626978195	7.19166666666667	1.00589982893839	0.967639873585895
59	7	7.00683327417403	7.05833333333333	0.992703651594904	0.999024769977157
60	7.2	7.04062946028296	6.9625	1.01122146646793	1.02263583684045
61	7.3	7.18635572094498	6.94166666666667	1.03524932354549	1.01581389559159
62	7.1	7.18660015985603	6.975	1.03033694048115	0.987949773477064
63	6.8	7.0471603157528	7.02083333333333	1.00374983725856	0.964927672327772
64	6.4	6.81945675883169	7.0375	0.96901694619278	0.93849117698584
65	6.1	6.60861316019057	7.01666666666667	0.941845105965402	0.92303783746121
66	6.5	6.54316904896766	6.9875	0.936410597347787	0.993402424934371
67	7.7	NA	NA	1.01890113442287	NA
68	7.9	NA	NA	1.03016532249218	NA
69	7.5	NA	NA	1.02449984529254	NA
70	6.9	NA	NA	1.00589982893839	NA
71	6.6	NA	NA	0.992703651594904	NA
72	6.9	NA	NA	1.01122146646793	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