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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 07 Jun 2009 13:16:51 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/07/t1244402273lu2kwp8b1oc8evn.htm/, Retrieved Mon, 13 May 2024 06:26:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42238, Retrieved Mon, 13 May 2024 06:26:18 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

104

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

-       [Classical Decomposition] [huishoudbroodprij...] [2009-06-07 19:16:51] [d41d8cd98f00b204e9800998ecf8427e] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42238&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42238&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	40.04	NA	NA	0.991137210306149	NA
2	40.04	NA	NA	0.993811082754815	NA
3	40.03	NA	NA	1.00140089478749	NA
4	40.03	NA	NA	0.999383160146058	NA
5	41.63	NA	NA	1.00794514978150	NA
6	42.03	NA	NA	1.00633641433178	NA
7	42.03	41.6690467540631	41.4145833333333	1.00614429508276	1.00866238308900
8	42.03	41.7395814405740	41.5804166666667	1.00382787828182	1.00695786947072
9	42.03	41.7954848105492	41.7466666666667	1.00116939022395	1.00561101732672
10	42.03	41.9071709221882	41.9133333333333	0.99985297253511	1.00293097995185
11	42.03	41.8310210513498	42.0133333333333	0.9956606089658	1.00475673181407
12	42.03	41.7496995260005	42.03	0.993330942802771	1.00671383212770
13	42.03	41.6574969491674	42.03	0.991137210306149	1.00894204112376
14	42.03	41.7698798081849	42.03	0.993811082754815	1.00622745847031
15	42.03	42.0888796079180	42.03	1.00140089478749	0.9986010649733
16	42.03	42.0186485586909	42.0445833333333	0.999383160146058	1.00027015246083
17	42.03	42.3945929769555	42.0604166666667	1.00794514978150	0.991400012328137
18	42.03	42.3294447346699	42.0629166666667	1.00633641433178	0.992925852523064
19	42.03	42.3234597726565	42.065	1.00614429508276	0.99306626220463
20	42.03	42.2276927463885	42.0666666666667	1.00382787828182	0.99531840994544
21	42.03	42.1175276310713	42.0683333333333	1.00116939022395	0.997921824095708
22	42.38	42.0638145545521	42.07	0.99985297253511	1.00751680390369
23	42.06	41.9849335871525	42.1679166666667	0.9956606089658	1.00178793692008
24	42.06	42.0845348313036	42.3670833333333	0.993330942802771	0.999417010752242
25	42.05	42.1943629380833	42.5716666666667	0.991137210306149	0.996578620269843
26	42.05	42.5119254166418	42.7766666666667	0.993811082754815	0.989134215585047
27	42.05	43.0418794594575	42.9816666666667	1.00140089478749	0.976955479827693
28	42.05	43.1454530717556	43.1720833333333	0.999383160146058	0.974610231350827
29	44.36	43.7057616259629	43.36125	1.00794514978150	1.01496915623245
30	44.48	43.8393686630069	43.5633333333333	1.00633641433178	1.01461315152409
31	44.49	44.0343243010868	43.7654166666667	1.00614429508276	1.01034819328208
32	44.49	44.1362204999718	43.9679166666667	1.00382787828182	1.00801562743753
33	44.49	44.2220691201045	44.1704166666667	1.00116939022395	1.00605875946618
34	44.49	44.3663926292194	44.3729166666667	0.99985297253511	1.00278605862355
35	44.49	44.2861541696247	44.4791666666667	0.9956606089658	1.00460292464310
36	44.48	44.1879131026884	44.4845833333333	0.993330942802771	1.00661010843922
37	44.48	44.0907388004690	44.485	0.991137210306149	1.00882863862392
38	44.48	44.209686016348	44.485	0.993811082754815	1.00611436108259
39	44.48	44.5473188046213	44.485	1.00140089478749	0.998488824772674
40	44.48	44.4575598790974	44.485	0.999383160146058	1.00050475376884
41	44.48	44.8384399880298	44.485	1.00794514978150	0.992005966574093
42	44.49	44.7672946983886	44.4854166666667	1.00633641433178	0.993805864297656
43	44.49	44.7595866471256	44.48625	1.00614429508276	0.99397700766875
44	44.49	44.6996188966574	44.5291666666667	1.00382787828182	0.995310499242912
45	44.49	44.6846928091705	44.6325	1.00116939022395	0.995642964135348
46	44.49	44.7480031804036	44.7545833333333	0.99985297253511	0.994234308526272
47	44.49	44.6827589788627	44.8775	0.9956606089658	0.99568605468266
48	44.49	44.7003063140175	45.0004166666667	0.993330942802771	0.995295193000689
49	44.49	44.7230017458768	45.1229166666667	0.991137210306149	0.994790113883661
50	45.5	44.9653965271928	45.2454166666667	0.993811082754815	1.01188921957986
51	45.94	45.4314723446441	45.3679166666667	1.00140089478749	1.01119329022617
52	45.95	45.4623563646942	45.4904166666667	0.999383160146058	1.01072631676620
53	45.96	45.9753181215542	45.6129166666667	1.00794514978150	0.999666818584839
54	45.96	46.0252152163034	45.7354166666667	1.00633641433178	0.998583054614805
55	45.96	46.1401004653371	45.8583333333333	1.00614429508276	0.996096660745844
56	45.96	46.1191988211943	45.9433333333333	1.00382787828182	0.996548100893696
57	45.96	46.1021818041626	46.0483333333333	1.00116939022395	0.996915941966336
58	45.96	46.2057054932787	46.2125	0.99985297253511	0.994682355984923
59	45.96	46.1762498923114	46.3775	0.9956606089658	0.995316858930386
60	45.96	46.232105405398	46.5425	0.993330942802771	0.994114362670444
61	45.97	46.2935412503745	46.7075	0.991137210306149	0.993011093089107
62	46.06	46.5824099764251	46.8725	0.993811082754815	0.98878525227249
63	47.9	47.1033945885664	47.0375	1.00140089478749	1.01691184719046
64	47.93	47.1733836167943	47.2025	0.999383160146058	1.01603905264358
65	47.94	47.743841882275	47.3675	1.00794514978150	1.00410855327078
66	47.94	47.8336856142254	47.5325	1.00633641433178	1.00222258403068
67	47.94	NA	NA	1.00614429508276	NA
68	47.94	NA	NA	1.00382787828182	NA
69	47.94	NA	NA	1.00116939022395	NA
70	47.94	NA	NA	0.99985297253511	NA
71	47.94	NA	NA	0.9956606089658	NA
72	47.94	NA	NA	0.993330942802771	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 40.04 & NA & NA & 0.991137210306149 & NA \tabularnewline
2 & 40.04 & NA & NA & 0.993811082754815 & NA \tabularnewline
3 & 40.03 & NA & NA & 1.00140089478749 & NA \tabularnewline
4 & 40.03 & NA & NA & 0.999383160146058 & NA \tabularnewline
5 & 41.63 & NA & NA & 1.00794514978150 & NA \tabularnewline
6 & 42.03 & NA & NA & 1.00633641433178 & NA \tabularnewline
7 & 42.03 & 41.6690467540631 & 41.4145833333333 & 1.00614429508276 & 1.00866238308900 \tabularnewline
8 & 42.03 & 41.7395814405740 & 41.5804166666667 & 1.00382787828182 & 1.00695786947072 \tabularnewline
9 & 42.03 & 41.7954848105492 & 41.7466666666667 & 1.00116939022395 & 1.00561101732672 \tabularnewline
10 & 42.03 & 41.9071709221882 & 41.9133333333333 & 0.99985297253511 & 1.00293097995185 \tabularnewline
11 & 42.03 & 41.8310210513498 & 42.0133333333333 & 0.9956606089658 & 1.00475673181407 \tabularnewline
12 & 42.03 & 41.7496995260005 & 42.03 & 0.993330942802771 & 1.00671383212770 \tabularnewline
13 & 42.03 & 41.6574969491674 & 42.03 & 0.991137210306149 & 1.00894204112376 \tabularnewline
14 & 42.03 & 41.7698798081849 & 42.03 & 0.993811082754815 & 1.00622745847031 \tabularnewline
15 & 42.03 & 42.0888796079180 & 42.03 & 1.00140089478749 & 0.9986010649733 \tabularnewline
16 & 42.03 & 42.0186485586909 & 42.0445833333333 & 0.999383160146058 & 1.00027015246083 \tabularnewline
17 & 42.03 & 42.3945929769555 & 42.0604166666667 & 1.00794514978150 & 0.991400012328137 \tabularnewline
18 & 42.03 & 42.3294447346699 & 42.0629166666667 & 1.00633641433178 & 0.992925852523064 \tabularnewline
19 & 42.03 & 42.3234597726565 & 42.065 & 1.00614429508276 & 0.99306626220463 \tabularnewline
20 & 42.03 & 42.2276927463885 & 42.0666666666667 & 1.00382787828182 & 0.99531840994544 \tabularnewline
21 & 42.03 & 42.1175276310713 & 42.0683333333333 & 1.00116939022395 & 0.997921824095708 \tabularnewline
22 & 42.38 & 42.0638145545521 & 42.07 & 0.99985297253511 & 1.00751680390369 \tabularnewline
23 & 42.06 & 41.9849335871525 & 42.1679166666667 & 0.9956606089658 & 1.00178793692008 \tabularnewline
24 & 42.06 & 42.0845348313036 & 42.3670833333333 & 0.993330942802771 & 0.999417010752242 \tabularnewline
25 & 42.05 & 42.1943629380833 & 42.5716666666667 & 0.991137210306149 & 0.996578620269843 \tabularnewline
26 & 42.05 & 42.5119254166418 & 42.7766666666667 & 0.993811082754815 & 0.989134215585047 \tabularnewline
27 & 42.05 & 43.0418794594575 & 42.9816666666667 & 1.00140089478749 & 0.976955479827693 \tabularnewline
28 & 42.05 & 43.1454530717556 & 43.1720833333333 & 0.999383160146058 & 0.974610231350827 \tabularnewline
29 & 44.36 & 43.7057616259629 & 43.36125 & 1.00794514978150 & 1.01496915623245 \tabularnewline
30 & 44.48 & 43.8393686630069 & 43.5633333333333 & 1.00633641433178 & 1.01461315152409 \tabularnewline
31 & 44.49 & 44.0343243010868 & 43.7654166666667 & 1.00614429508276 & 1.01034819328208 \tabularnewline
32 & 44.49 & 44.1362204999718 & 43.9679166666667 & 1.00382787828182 & 1.00801562743753 \tabularnewline
33 & 44.49 & 44.2220691201045 & 44.1704166666667 & 1.00116939022395 & 1.00605875946618 \tabularnewline
34 & 44.49 & 44.3663926292194 & 44.3729166666667 & 0.99985297253511 & 1.00278605862355 \tabularnewline
35 & 44.49 & 44.2861541696247 & 44.4791666666667 & 0.9956606089658 & 1.00460292464310 \tabularnewline
36 & 44.48 & 44.1879131026884 & 44.4845833333333 & 0.993330942802771 & 1.00661010843922 \tabularnewline
37 & 44.48 & 44.0907388004690 & 44.485 & 0.991137210306149 & 1.00882863862392 \tabularnewline
38 & 44.48 & 44.209686016348 & 44.485 & 0.993811082754815 & 1.00611436108259 \tabularnewline
39 & 44.48 & 44.5473188046213 & 44.485 & 1.00140089478749 & 0.998488824772674 \tabularnewline
40 & 44.48 & 44.4575598790974 & 44.485 & 0.999383160146058 & 1.00050475376884 \tabularnewline
41 & 44.48 & 44.8384399880298 & 44.485 & 1.00794514978150 & 0.992005966574093 \tabularnewline
42 & 44.49 & 44.7672946983886 & 44.4854166666667 & 1.00633641433178 & 0.993805864297656 \tabularnewline
43 & 44.49 & 44.7595866471256 & 44.48625 & 1.00614429508276 & 0.99397700766875 \tabularnewline
44 & 44.49 & 44.6996188966574 & 44.5291666666667 & 1.00382787828182 & 0.995310499242912 \tabularnewline
45 & 44.49 & 44.6846928091705 & 44.6325 & 1.00116939022395 & 0.995642964135348 \tabularnewline
46 & 44.49 & 44.7480031804036 & 44.7545833333333 & 0.99985297253511 & 0.994234308526272 \tabularnewline
47 & 44.49 & 44.6827589788627 & 44.8775 & 0.9956606089658 & 0.99568605468266 \tabularnewline
48 & 44.49 & 44.7003063140175 & 45.0004166666667 & 0.993330942802771 & 0.995295193000689 \tabularnewline
49 & 44.49 & 44.7230017458768 & 45.1229166666667 & 0.991137210306149 & 0.994790113883661 \tabularnewline
50 & 45.5 & 44.9653965271928 & 45.2454166666667 & 0.993811082754815 & 1.01188921957986 \tabularnewline
51 & 45.94 & 45.4314723446441 & 45.3679166666667 & 1.00140089478749 & 1.01119329022617 \tabularnewline
52 & 45.95 & 45.4623563646942 & 45.4904166666667 & 0.999383160146058 & 1.01072631676620 \tabularnewline
53 & 45.96 & 45.9753181215542 & 45.6129166666667 & 1.00794514978150 & 0.999666818584839 \tabularnewline
54 & 45.96 & 46.0252152163034 & 45.7354166666667 & 1.00633641433178 & 0.998583054614805 \tabularnewline
55 & 45.96 & 46.1401004653371 & 45.8583333333333 & 1.00614429508276 & 0.996096660745844 \tabularnewline
56 & 45.96 & 46.1191988211943 & 45.9433333333333 & 1.00382787828182 & 0.996548100893696 \tabularnewline
57 & 45.96 & 46.1021818041626 & 46.0483333333333 & 1.00116939022395 & 0.996915941966336 \tabularnewline
58 & 45.96 & 46.2057054932787 & 46.2125 & 0.99985297253511 & 0.994682355984923 \tabularnewline
59 & 45.96 & 46.1762498923114 & 46.3775 & 0.9956606089658 & 0.995316858930386 \tabularnewline
60 & 45.96 & 46.232105405398 & 46.5425 & 0.993330942802771 & 0.994114362670444 \tabularnewline
61 & 45.97 & 46.2935412503745 & 46.7075 & 0.991137210306149 & 0.993011093089107 \tabularnewline
62 & 46.06 & 46.5824099764251 & 46.8725 & 0.993811082754815 & 0.98878525227249 \tabularnewline
63 & 47.9 & 47.1033945885664 & 47.0375 & 1.00140089478749 & 1.01691184719046 \tabularnewline
64 & 47.93 & 47.1733836167943 & 47.2025 & 0.999383160146058 & 1.01603905264358 \tabularnewline
65 & 47.94 & 47.743841882275 & 47.3675 & 1.00794514978150 & 1.00410855327078 \tabularnewline
66 & 47.94 & 47.8336856142254 & 47.5325 & 1.00633641433178 & 1.00222258403068 \tabularnewline
67 & 47.94 & NA & NA & 1.00614429508276 & NA \tabularnewline
68 & 47.94 & NA & NA & 1.00382787828182 & NA \tabularnewline
69 & 47.94 & NA & NA & 1.00116939022395 & NA \tabularnewline
70 & 47.94 & NA & NA & 0.99985297253511 & NA \tabularnewline
71 & 47.94 & NA & NA & 0.9956606089658 & NA \tabularnewline
72 & 47.94 & NA & NA & 0.993330942802771 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42238&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]40.04[/C][C]NA[/C][C]NA[/C][C]0.991137210306149[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]40.04[/C][C]NA[/C][C]NA[/C][C]0.993811082754815[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]40.03[/C][C]NA[/C][C]NA[/C][C]1.00140089478749[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]40.03[/C][C]NA[/C][C]NA[/C][C]0.999383160146058[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]41.63[/C][C]NA[/C][C]NA[/C][C]1.00794514978150[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]42.03[/C][C]NA[/C][C]NA[/C][C]1.00633641433178[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]42.03[/C][C]41.6690467540631[/C][C]41.4145833333333[/C][C]1.00614429508276[/C][C]1.00866238308900[/C][/ROW]
[ROW][C]8[/C][C]42.03[/C][C]41.7395814405740[/C][C]41.5804166666667[/C][C]1.00382787828182[/C][C]1.00695786947072[/C][/ROW]
[ROW][C]9[/C][C]42.03[/C][C]41.7954848105492[/C][C]41.7466666666667[/C][C]1.00116939022395[/C][C]1.00561101732672[/C][/ROW]
[ROW][C]10[/C][C]42.03[/C][C]41.9071709221882[/C][C]41.9133333333333[/C][C]0.99985297253511[/C][C]1.00293097995185[/C][/ROW]
[ROW][C]11[/C][C]42.03[/C][C]41.8310210513498[/C][C]42.0133333333333[/C][C]0.9956606089658[/C][C]1.00475673181407[/C][/ROW]
[ROW][C]12[/C][C]42.03[/C][C]41.7496995260005[/C][C]42.03[/C][C]0.993330942802771[/C][C]1.00671383212770[/C][/ROW]
[ROW][C]13[/C][C]42.03[/C][C]41.6574969491674[/C][C]42.03[/C][C]0.991137210306149[/C][C]1.00894204112376[/C][/ROW]
[ROW][C]14[/C][C]42.03[/C][C]41.7698798081849[/C][C]42.03[/C][C]0.993811082754815[/C][C]1.00622745847031[/C][/ROW]
[ROW][C]15[/C][C]42.03[/C][C]42.0888796079180[/C][C]42.03[/C][C]1.00140089478749[/C][C]0.9986010649733[/C][/ROW]
[ROW][C]16[/C][C]42.03[/C][C]42.0186485586909[/C][C]42.0445833333333[/C][C]0.999383160146058[/C][C]1.00027015246083[/C][/ROW]
[ROW][C]17[/C][C]42.03[/C][C]42.3945929769555[/C][C]42.0604166666667[/C][C]1.00794514978150[/C][C]0.991400012328137[/C][/ROW]
[ROW][C]18[/C][C]42.03[/C][C]42.3294447346699[/C][C]42.0629166666667[/C][C]1.00633641433178[/C][C]0.992925852523064[/C][/ROW]
[ROW][C]19[/C][C]42.03[/C][C]42.3234597726565[/C][C]42.065[/C][C]1.00614429508276[/C][C]0.99306626220463[/C][/ROW]
[ROW][C]20[/C][C]42.03[/C][C]42.2276927463885[/C][C]42.0666666666667[/C][C]1.00382787828182[/C][C]0.99531840994544[/C][/ROW]
[ROW][C]21[/C][C]42.03[/C][C]42.1175276310713[/C][C]42.0683333333333[/C][C]1.00116939022395[/C][C]0.997921824095708[/C][/ROW]
[ROW][C]22[/C][C]42.38[/C][C]42.0638145545521[/C][C]42.07[/C][C]0.99985297253511[/C][C]1.00751680390369[/C][/ROW]
[ROW][C]23[/C][C]42.06[/C][C]41.9849335871525[/C][C]42.1679166666667[/C][C]0.9956606089658[/C][C]1.00178793692008[/C][/ROW]
[ROW][C]24[/C][C]42.06[/C][C]42.0845348313036[/C][C]42.3670833333333[/C][C]0.993330942802771[/C][C]0.999417010752242[/C][/ROW]
[ROW][C]25[/C][C]42.05[/C][C]42.1943629380833[/C][C]42.5716666666667[/C][C]0.991137210306149[/C][C]0.996578620269843[/C][/ROW]
[ROW][C]26[/C][C]42.05[/C][C]42.5119254166418[/C][C]42.7766666666667[/C][C]0.993811082754815[/C][C]0.989134215585047[/C][/ROW]
[ROW][C]27[/C][C]42.05[/C][C]43.0418794594575[/C][C]42.9816666666667[/C][C]1.00140089478749[/C][C]0.976955479827693[/C][/ROW]
[ROW][C]28[/C][C]42.05[/C][C]43.1454530717556[/C][C]43.1720833333333[/C][C]0.999383160146058[/C][C]0.974610231350827[/C][/ROW]
[ROW][C]29[/C][C]44.36[/C][C]43.7057616259629[/C][C]43.36125[/C][C]1.00794514978150[/C][C]1.01496915623245[/C][/ROW]
[ROW][C]30[/C][C]44.48[/C][C]43.8393686630069[/C][C]43.5633333333333[/C][C]1.00633641433178[/C][C]1.01461315152409[/C][/ROW]
[ROW][C]31[/C][C]44.49[/C][C]44.0343243010868[/C][C]43.7654166666667[/C][C]1.00614429508276[/C][C]1.01034819328208[/C][/ROW]
[ROW][C]32[/C][C]44.49[/C][C]44.1362204999718[/C][C]43.9679166666667[/C][C]1.00382787828182[/C][C]1.00801562743753[/C][/ROW]
[ROW][C]33[/C][C]44.49[/C][C]44.2220691201045[/C][C]44.1704166666667[/C][C]1.00116939022395[/C][C]1.00605875946618[/C][/ROW]
[ROW][C]34[/C][C]44.49[/C][C]44.3663926292194[/C][C]44.3729166666667[/C][C]0.99985297253511[/C][C]1.00278605862355[/C][/ROW]
[ROW][C]35[/C][C]44.49[/C][C]44.2861541696247[/C][C]44.4791666666667[/C][C]0.9956606089658[/C][C]1.00460292464310[/C][/ROW]
[ROW][C]36[/C][C]44.48[/C][C]44.1879131026884[/C][C]44.4845833333333[/C][C]0.993330942802771[/C][C]1.00661010843922[/C][/ROW]
[ROW][C]37[/C][C]44.48[/C][C]44.0907388004690[/C][C]44.485[/C][C]0.991137210306149[/C][C]1.00882863862392[/C][/ROW]
[ROW][C]38[/C][C]44.48[/C][C]44.209686016348[/C][C]44.485[/C][C]0.993811082754815[/C][C]1.00611436108259[/C][/ROW]
[ROW][C]39[/C][C]44.48[/C][C]44.5473188046213[/C][C]44.485[/C][C]1.00140089478749[/C][C]0.998488824772674[/C][/ROW]
[ROW][C]40[/C][C]44.48[/C][C]44.4575598790974[/C][C]44.485[/C][C]0.999383160146058[/C][C]1.00050475376884[/C][/ROW]
[ROW][C]41[/C][C]44.48[/C][C]44.8384399880298[/C][C]44.485[/C][C]1.00794514978150[/C][C]0.992005966574093[/C][/ROW]
[ROW][C]42[/C][C]44.49[/C][C]44.7672946983886[/C][C]44.4854166666667[/C][C]1.00633641433178[/C][C]0.993805864297656[/C][/ROW]
[ROW][C]43[/C][C]44.49[/C][C]44.7595866471256[/C][C]44.48625[/C][C]1.00614429508276[/C][C]0.99397700766875[/C][/ROW]
[ROW][C]44[/C][C]44.49[/C][C]44.6996188966574[/C][C]44.5291666666667[/C][C]1.00382787828182[/C][C]0.995310499242912[/C][/ROW]
[ROW][C]45[/C][C]44.49[/C][C]44.6846928091705[/C][C]44.6325[/C][C]1.00116939022395[/C][C]0.995642964135348[/C][/ROW]
[ROW][C]46[/C][C]44.49[/C][C]44.7480031804036[/C][C]44.7545833333333[/C][C]0.99985297253511[/C][C]0.994234308526272[/C][/ROW]
[ROW][C]47[/C][C]44.49[/C][C]44.6827589788627[/C][C]44.8775[/C][C]0.9956606089658[/C][C]0.99568605468266[/C][/ROW]
[ROW][C]48[/C][C]44.49[/C][C]44.7003063140175[/C][C]45.0004166666667[/C][C]0.993330942802771[/C][C]0.995295193000689[/C][/ROW]
[ROW][C]49[/C][C]44.49[/C][C]44.7230017458768[/C][C]45.1229166666667[/C][C]0.991137210306149[/C][C]0.994790113883661[/C][/ROW]
[ROW][C]50[/C][C]45.5[/C][C]44.9653965271928[/C][C]45.2454166666667[/C][C]0.993811082754815[/C][C]1.01188921957986[/C][/ROW]
[ROW][C]51[/C][C]45.94[/C][C]45.4314723446441[/C][C]45.3679166666667[/C][C]1.00140089478749[/C][C]1.01119329022617[/C][/ROW]
[ROW][C]52[/C][C]45.95[/C][C]45.4623563646942[/C][C]45.4904166666667[/C][C]0.999383160146058[/C][C]1.01072631676620[/C][/ROW]
[ROW][C]53[/C][C]45.96[/C][C]45.9753181215542[/C][C]45.6129166666667[/C][C]1.00794514978150[/C][C]0.999666818584839[/C][/ROW]
[ROW][C]54[/C][C]45.96[/C][C]46.0252152163034[/C][C]45.7354166666667[/C][C]1.00633641433178[/C][C]0.998583054614805[/C][/ROW]
[ROW][C]55[/C][C]45.96[/C][C]46.1401004653371[/C][C]45.8583333333333[/C][C]1.00614429508276[/C][C]0.996096660745844[/C][/ROW]
[ROW][C]56[/C][C]45.96[/C][C]46.1191988211943[/C][C]45.9433333333333[/C][C]1.00382787828182[/C][C]0.996548100893696[/C][/ROW]
[ROW][C]57[/C][C]45.96[/C][C]46.1021818041626[/C][C]46.0483333333333[/C][C]1.00116939022395[/C][C]0.996915941966336[/C][/ROW]
[ROW][C]58[/C][C]45.96[/C][C]46.2057054932787[/C][C]46.2125[/C][C]0.99985297253511[/C][C]0.994682355984923[/C][/ROW]
[ROW][C]59[/C][C]45.96[/C][C]46.1762498923114[/C][C]46.3775[/C][C]0.9956606089658[/C][C]0.995316858930386[/C][/ROW]
[ROW][C]60[/C][C]45.96[/C][C]46.232105405398[/C][C]46.5425[/C][C]0.993330942802771[/C][C]0.994114362670444[/C][/ROW]
[ROW][C]61[/C][C]45.97[/C][C]46.2935412503745[/C][C]46.7075[/C][C]0.991137210306149[/C][C]0.993011093089107[/C][/ROW]
[ROW][C]62[/C][C]46.06[/C][C]46.5824099764251[/C][C]46.8725[/C][C]0.993811082754815[/C][C]0.98878525227249[/C][/ROW]
[ROW][C]63[/C][C]47.9[/C][C]47.1033945885664[/C][C]47.0375[/C][C]1.00140089478749[/C][C]1.01691184719046[/C][/ROW]
[ROW][C]64[/C][C]47.93[/C][C]47.1733836167943[/C][C]47.2025[/C][C]0.999383160146058[/C][C]1.01603905264358[/C][/ROW]
[ROW][C]65[/C][C]47.94[/C][C]47.743841882275[/C][C]47.3675[/C][C]1.00794514978150[/C][C]1.00410855327078[/C][/ROW]
[ROW][C]66[/C][C]47.94[/C][C]47.8336856142254[/C][C]47.5325[/C][C]1.00633641433178[/C][C]1.00222258403068[/C][/ROW]
[ROW][C]67[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]1.00614429508276[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]1.00382787828182[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]1.00116939022395[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]0.99985297253511[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]0.9956606089658[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]47.94[/C][C]NA[/C][C]NA[/C][C]0.993330942802771[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42238&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	40.04	NA	NA	0.991137210306149	NA
2	40.04	NA	NA	0.993811082754815	NA
3	40.03	NA	NA	1.00140089478749	NA
4	40.03	NA	NA	0.999383160146058	NA
5	41.63	NA	NA	1.00794514978150	NA
6	42.03	NA	NA	1.00633641433178	NA
7	42.03	41.6690467540631	41.4145833333333	1.00614429508276	1.00866238308900
8	42.03	41.7395814405740	41.5804166666667	1.00382787828182	1.00695786947072
9	42.03	41.7954848105492	41.7466666666667	1.00116939022395	1.00561101732672
10	42.03	41.9071709221882	41.9133333333333	0.99985297253511	1.00293097995185
11	42.03	41.8310210513498	42.0133333333333	0.9956606089658	1.00475673181407
12	42.03	41.7496995260005	42.03	0.993330942802771	1.00671383212770
13	42.03	41.6574969491674	42.03	0.991137210306149	1.00894204112376
14	42.03	41.7698798081849	42.03	0.993811082754815	1.00622745847031
15	42.03	42.0888796079180	42.03	1.00140089478749	0.9986010649733
16	42.03	42.0186485586909	42.0445833333333	0.999383160146058	1.00027015246083
17	42.03	42.3945929769555	42.0604166666667	1.00794514978150	0.991400012328137
18	42.03	42.3294447346699	42.0629166666667	1.00633641433178	0.992925852523064
19	42.03	42.3234597726565	42.065	1.00614429508276	0.99306626220463
20	42.03	42.2276927463885	42.0666666666667	1.00382787828182	0.99531840994544
21	42.03	42.1175276310713	42.0683333333333	1.00116939022395	0.997921824095708
22	42.38	42.0638145545521	42.07	0.99985297253511	1.00751680390369
23	42.06	41.9849335871525	42.1679166666667	0.9956606089658	1.00178793692008
24	42.06	42.0845348313036	42.3670833333333	0.993330942802771	0.999417010752242
25	42.05	42.1943629380833	42.5716666666667	0.991137210306149	0.996578620269843
26	42.05	42.5119254166418	42.7766666666667	0.993811082754815	0.989134215585047
27	42.05	43.0418794594575	42.9816666666667	1.00140089478749	0.976955479827693
28	42.05	43.1454530717556	43.1720833333333	0.999383160146058	0.974610231350827
29	44.36	43.7057616259629	43.36125	1.00794514978150	1.01496915623245
30	44.48	43.8393686630069	43.5633333333333	1.00633641433178	1.01461315152409
31	44.49	44.0343243010868	43.7654166666667	1.00614429508276	1.01034819328208
32	44.49	44.1362204999718	43.9679166666667	1.00382787828182	1.00801562743753
33	44.49	44.2220691201045	44.1704166666667	1.00116939022395	1.00605875946618
34	44.49	44.3663926292194	44.3729166666667	0.99985297253511	1.00278605862355
35	44.49	44.2861541696247	44.4791666666667	0.9956606089658	1.00460292464310
36	44.48	44.1879131026884	44.4845833333333	0.993330942802771	1.00661010843922
37	44.48	44.0907388004690	44.485	0.991137210306149	1.00882863862392
38	44.48	44.209686016348	44.485	0.993811082754815	1.00611436108259
39	44.48	44.5473188046213	44.485	1.00140089478749	0.998488824772674
40	44.48	44.4575598790974	44.485	0.999383160146058	1.00050475376884
41	44.48	44.8384399880298	44.485	1.00794514978150	0.992005966574093
42	44.49	44.7672946983886	44.4854166666667	1.00633641433178	0.993805864297656
43	44.49	44.7595866471256	44.48625	1.00614429508276	0.99397700766875
44	44.49	44.6996188966574	44.5291666666667	1.00382787828182	0.995310499242912
45	44.49	44.6846928091705	44.6325	1.00116939022395	0.995642964135348
46	44.49	44.7480031804036	44.7545833333333	0.99985297253511	0.994234308526272
47	44.49	44.6827589788627	44.8775	0.9956606089658	0.99568605468266
48	44.49	44.7003063140175	45.0004166666667	0.993330942802771	0.995295193000689
49	44.49	44.7230017458768	45.1229166666667	0.991137210306149	0.994790113883661
50	45.5	44.9653965271928	45.2454166666667	0.993811082754815	1.01188921957986
51	45.94	45.4314723446441	45.3679166666667	1.00140089478749	1.01119329022617
52	45.95	45.4623563646942	45.4904166666667	0.999383160146058	1.01072631676620
53	45.96	45.9753181215542	45.6129166666667	1.00794514978150	0.999666818584839
54	45.96	46.0252152163034	45.7354166666667	1.00633641433178	0.998583054614805
55	45.96	46.1401004653371	45.8583333333333	1.00614429508276	0.996096660745844
56	45.96	46.1191988211943	45.9433333333333	1.00382787828182	0.996548100893696
57	45.96	46.1021818041626	46.0483333333333	1.00116939022395	0.996915941966336
58	45.96	46.2057054932787	46.2125	0.99985297253511	0.994682355984923
59	45.96	46.1762498923114	46.3775	0.9956606089658	0.995316858930386
60	45.96	46.232105405398	46.5425	0.993330942802771	0.994114362670444
61	45.97	46.2935412503745	46.7075	0.991137210306149	0.993011093089107
62	46.06	46.5824099764251	46.8725	0.993811082754815	0.98878525227249
63	47.9	47.1033945885664	47.0375	1.00140089478749	1.01691184719046
64	47.93	47.1733836167943	47.2025	0.999383160146058	1.01603905264358
65	47.94	47.743841882275	47.3675	1.00794514978150	1.00410855327078
66	47.94	47.8336856142254	47.5325	1.00633641433178	1.00222258403068
67	47.94	NA	NA	1.00614429508276	NA
68	47.94	NA	NA	1.00382787828182	NA
69	47.94	NA	NA	1.00116939022395	NA
70	47.94	NA	NA	0.99985297253511	NA
71	47.94	NA	NA	0.9956606089658	NA
72	47.94	NA	NA	0.993330942802771	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