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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Fri, 11 Dec 2009 05:05:10 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/11/t1260533182nydu6l0zifvp65f.htm/, Retrieved Sun, 28 Apr 2024 19:48:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66051, Retrieved Sun, 28 Apr 2024 19:48:56 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

103

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] [workshop 9 - ad h...] [2009-12-04 10:22:32] [f1a50df816abcbb519e7637ff6b72fa0]
-    D        [Classical Decomposition] [workshop 9 - revi...] [2009-12-11 12:05:10] [a18540c86166a2b66550d1fef0503cc2] [Current]

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Dataseries X:

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Histogram

Boxplots

5.4
5.4
5.6
5.7
5.8
5.8
5.8
5.9
6.1
6.4
6.4
6.3
6.2
6.2
6.3
6.4
6.5
6.6
6.6
6.6
6.8
7
7.2
7.3
7.5
7.6
7.6
7.7
7.7
7.7
7.7
7.6
7.7
7.9
7.9
7.9
7.8
7.6
7.4
7
7
7.2
7.5
7.8
7.8
7.7
7.6
7.6
7.5
7.5
7.6
7.6
7.9
7.6
7.5
7.5
7.6
7.7
7.8
7.9
7.9

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66051&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]1 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=66051&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66051&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	5.4	NA	NA	1.00516082012022	NA
2	5.4	NA	NA	0.996874593128301	NA
3	5.6	NA	NA	0.992777735408245	NA
4	5.7	NA	NA	0.9825635645486	NA
5	5.8	NA	NA	0.992173282025906	NA
6	5.8	NA	NA	0.988244689581904	NA
7	5.8	5.85780640152322	5.91666666666667	0.990051786172938	0.990131732331033
8	5.9	5.94251490781407	5.98333333333333	0.99317797902185	0.99284563716312
9	6.1	6.05344409285955	6.04583333333333	1.00125884375348	1.00769081310181
10	6.4	6.18674523925211	6.10416666666667	1.01352823032117	1.03446962053567
11	6.4	6.306176141408	6.1625	1.02331458684105	1.01487809038126
12	6.3	6.35493995950023	6.225	1.02087388907634	0.991354763404476
13	6.2	6.32413682658971	6.29166666666667	1.00516082012022	0.980370945475472
14	6.2	6.33430731050275	6.35416666666667	0.996874593128301	0.978796843298074
15	6.3	6.36618722830537	6.4125	0.992777735408245	0.989603317349655
16	6.4	6.35391105074761	6.46666666666667	0.9825635645486	1.00725363463295
17	6.5	6.47393066521903	6.525	0.992173282025906	1.00402681711144
18	6.6	6.52241495124056	6.6	0.988244689581904	1.01189514149888
19	6.6	6.62922175158296	6.69583333333333	0.990051786172938	0.995591978564303
20	6.6	6.76188674050709	6.80833333333333	0.99317797902185	0.976058939358255
21	6.8	6.92954558114384	6.92083333333333	1.00125884375348	0.981305328087262
22	7	7.12425885229919	7.02916666666667	1.01352823032117	0.982558346787317
23	7.2	7.29964405279952	7.13333333333333	1.02331458684105	0.986349464154857
24	7.3	7.38006748978106	7.22916666666667	1.02087388907634	0.98915084585718
25	7.5	7.35861483729676	7.32083333333333	1.00516082012022	1.01921355660397
26	7.6	7.3851792774255	7.40833333333333	0.996874593128301	1.02908808500169
27	7.6	7.43342329386923	7.4875	0.992777735408245	1.02240915114684
28	7.7	7.43063695689878	7.5625	0.9825635645486	1.03625033017541
29	7.7	7.5694553307893	7.62916666666667	0.992173282025906	1.01724624342252
30	7.7	7.59301336495429	7.68333333333333	0.988244689581904	1.01409014180582
31	7.7	7.64402483241023	7.72083333333333	0.990051786172938	1.00732273492263
32	7.6	7.6805763711023	7.73333333333333	0.99317797902185	0.989509072339224
33	7.7	7.7347245679956	7.725	1.00125884375348	0.995510561793075
34	7.9	7.79149827059396	7.6875	1.01352823032117	1.01392565661158
35	7.9	7.80703753544155	7.62916666666667	1.02331458684105	1.01190752114825
36	7.9	7.73737335095778	7.57916666666667	1.02087388907634	1.02101832775358
37	7.8	7.58896419190765	7.55	1.00516082012022	1.0278082492888
38	7.6	7.52640317811867	7.55	0.996874593128301	1.00977848517274
39	7.4	7.50788162402485	7.5625	0.992777735408245	0.985630883726292
40	7	7.4265429420465	7.55833333333333	0.9825635645486	0.94256507430509
41	7	7.47850611327026	7.5375	0.992173282025906	0.936015815722718
42	7.2	7.42418823048405	7.5125	0.988244689581904	0.969802997509745
43	7.5	7.41301274896987	7.4875	0.990051786172938	1.01173439922145
44	7.8	7.41986715160907	7.47083333333333	0.99317797902185	1.05123175935953
45	7.8	7.48440985705723	7.475	1.00125884375348	1.04216633628705
46	7.7	7.60990779599475	7.50833333333333	1.01352823032117	1.01183880362554
47	7.6	7.74734418454249	7.57083333333333	1.02331458684105	0.980981329726325
48	7.6	7.78416340420711	7.625	1.02087388907634	0.976341272061738
49	7.5	7.681103933752	7.64166666666667	1.00516082012022	0.97642214773892
50	7.5	7.60532241674133	7.62916666666667	0.996874593128301	0.986151485634654
51	7.6	7.55338393689773	7.60833333333333	0.992777735408245	1.00617154688438
52	7.6	7.46748309056936	7.6	0.9825635645486	1.01774585999371
53	7.9	7.54878505408043	7.60833333333333	0.992173282025906	1.04652602285049
54	7.6	7.5394834442686	7.62916666666666	0.988244689581904	1.00802661829272
55	7.5	7.58214659577442	7.65833333333333	0.990051786172938	0.989165786398776
56	7.5	NA	NA	0.99317797902185	NA
57	7.6	NA	NA	1.00125884375348	NA
58	7.7	NA	NA	1.01352823032117	NA
59	7.8	NA	NA	1.02331458684105	NA
60	7.9	NA	NA	1.02087388907634	NA
61	7.9	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5.4 & NA & NA & 1.00516082012022 & NA \tabularnewline
2 & 5.4 & NA & NA & 0.996874593128301 & NA \tabularnewline
3 & 5.6 & NA & NA & 0.992777735408245 & NA \tabularnewline
4 & 5.7 & NA & NA & 0.9825635645486 & NA \tabularnewline
5 & 5.8 & NA & NA & 0.992173282025906 & NA \tabularnewline
6 & 5.8 & NA & NA & 0.988244689581904 & NA \tabularnewline
7 & 5.8 & 5.85780640152322 & 5.91666666666667 & 0.990051786172938 & 0.990131732331033 \tabularnewline
8 & 5.9 & 5.94251490781407 & 5.98333333333333 & 0.99317797902185 & 0.99284563716312 \tabularnewline
9 & 6.1 & 6.05344409285955 & 6.04583333333333 & 1.00125884375348 & 1.00769081310181 \tabularnewline
10 & 6.4 & 6.18674523925211 & 6.10416666666667 & 1.01352823032117 & 1.03446962053567 \tabularnewline
11 & 6.4 & 6.306176141408 & 6.1625 & 1.02331458684105 & 1.01487809038126 \tabularnewline
12 & 6.3 & 6.35493995950023 & 6.225 & 1.02087388907634 & 0.991354763404476 \tabularnewline
13 & 6.2 & 6.32413682658971 & 6.29166666666667 & 1.00516082012022 & 0.980370945475472 \tabularnewline
14 & 6.2 & 6.33430731050275 & 6.35416666666667 & 0.996874593128301 & 0.978796843298074 \tabularnewline
15 & 6.3 & 6.36618722830537 & 6.4125 & 0.992777735408245 & 0.989603317349655 \tabularnewline
16 & 6.4 & 6.35391105074761 & 6.46666666666667 & 0.9825635645486 & 1.00725363463295 \tabularnewline
17 & 6.5 & 6.47393066521903 & 6.525 & 0.992173282025906 & 1.00402681711144 \tabularnewline
18 & 6.6 & 6.52241495124056 & 6.6 & 0.988244689581904 & 1.01189514149888 \tabularnewline
19 & 6.6 & 6.62922175158296 & 6.69583333333333 & 0.990051786172938 & 0.995591978564303 \tabularnewline
20 & 6.6 & 6.76188674050709 & 6.80833333333333 & 0.99317797902185 & 0.976058939358255 \tabularnewline
21 & 6.8 & 6.92954558114384 & 6.92083333333333 & 1.00125884375348 & 0.981305328087262 \tabularnewline
22 & 7 & 7.12425885229919 & 7.02916666666667 & 1.01352823032117 & 0.982558346787317 \tabularnewline
23 & 7.2 & 7.29964405279952 & 7.13333333333333 & 1.02331458684105 & 0.986349464154857 \tabularnewline
24 & 7.3 & 7.38006748978106 & 7.22916666666667 & 1.02087388907634 & 0.98915084585718 \tabularnewline
25 & 7.5 & 7.35861483729676 & 7.32083333333333 & 1.00516082012022 & 1.01921355660397 \tabularnewline
26 & 7.6 & 7.3851792774255 & 7.40833333333333 & 0.996874593128301 & 1.02908808500169 \tabularnewline
27 & 7.6 & 7.43342329386923 & 7.4875 & 0.992777735408245 & 1.02240915114684 \tabularnewline
28 & 7.7 & 7.43063695689878 & 7.5625 & 0.9825635645486 & 1.03625033017541 \tabularnewline
29 & 7.7 & 7.5694553307893 & 7.62916666666667 & 0.992173282025906 & 1.01724624342252 \tabularnewline
30 & 7.7 & 7.59301336495429 & 7.68333333333333 & 0.988244689581904 & 1.01409014180582 \tabularnewline
31 & 7.7 & 7.64402483241023 & 7.72083333333333 & 0.990051786172938 & 1.00732273492263 \tabularnewline
32 & 7.6 & 7.6805763711023 & 7.73333333333333 & 0.99317797902185 & 0.989509072339224 \tabularnewline
33 & 7.7 & 7.7347245679956 & 7.725 & 1.00125884375348 & 0.995510561793075 \tabularnewline
34 & 7.9 & 7.79149827059396 & 7.6875 & 1.01352823032117 & 1.01392565661158 \tabularnewline
35 & 7.9 & 7.80703753544155 & 7.62916666666667 & 1.02331458684105 & 1.01190752114825 \tabularnewline
36 & 7.9 & 7.73737335095778 & 7.57916666666667 & 1.02087388907634 & 1.02101832775358 \tabularnewline
37 & 7.8 & 7.58896419190765 & 7.55 & 1.00516082012022 & 1.0278082492888 \tabularnewline
38 & 7.6 & 7.52640317811867 & 7.55 & 0.996874593128301 & 1.00977848517274 \tabularnewline
39 & 7.4 & 7.50788162402485 & 7.5625 & 0.992777735408245 & 0.985630883726292 \tabularnewline
40 & 7 & 7.4265429420465 & 7.55833333333333 & 0.9825635645486 & 0.94256507430509 \tabularnewline
41 & 7 & 7.47850611327026 & 7.5375 & 0.992173282025906 & 0.936015815722718 \tabularnewline
42 & 7.2 & 7.42418823048405 & 7.5125 & 0.988244689581904 & 0.969802997509745 \tabularnewline
43 & 7.5 & 7.41301274896987 & 7.4875 & 0.990051786172938 & 1.01173439922145 \tabularnewline
44 & 7.8 & 7.41986715160907 & 7.47083333333333 & 0.99317797902185 & 1.05123175935953 \tabularnewline
45 & 7.8 & 7.48440985705723 & 7.475 & 1.00125884375348 & 1.04216633628705 \tabularnewline
46 & 7.7 & 7.60990779599475 & 7.50833333333333 & 1.01352823032117 & 1.01183880362554 \tabularnewline
47 & 7.6 & 7.74734418454249 & 7.57083333333333 & 1.02331458684105 & 0.980981329726325 \tabularnewline
48 & 7.6 & 7.78416340420711 & 7.625 & 1.02087388907634 & 0.976341272061738 \tabularnewline
49 & 7.5 & 7.681103933752 & 7.64166666666667 & 1.00516082012022 & 0.97642214773892 \tabularnewline
50 & 7.5 & 7.60532241674133 & 7.62916666666667 & 0.996874593128301 & 0.986151485634654 \tabularnewline
51 & 7.6 & 7.55338393689773 & 7.60833333333333 & 0.992777735408245 & 1.00617154688438 \tabularnewline
52 & 7.6 & 7.46748309056936 & 7.6 & 0.9825635645486 & 1.01774585999371 \tabularnewline
53 & 7.9 & 7.54878505408043 & 7.60833333333333 & 0.992173282025906 & 1.04652602285049 \tabularnewline
54 & 7.6 & 7.5394834442686 & 7.62916666666666 & 0.988244689581904 & 1.00802661829272 \tabularnewline
55 & 7.5 & 7.58214659577442 & 7.65833333333333 & 0.990051786172938 & 0.989165786398776 \tabularnewline
56 & 7.5 & NA & NA & 0.99317797902185 & NA \tabularnewline
57 & 7.6 & NA & NA & 1.00125884375348 & NA \tabularnewline
58 & 7.7 & NA & NA & 1.01352823032117 & NA \tabularnewline
59 & 7.8 & NA & NA & 1.02331458684105 & NA \tabularnewline
60 & 7.9 & NA & NA & 1.02087388907634 & NA \tabularnewline
61 & 7.9 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66051&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]5.4[/C][C]NA[/C][C]NA[/C][C]1.00516082012022[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5.4[/C][C]NA[/C][C]NA[/C][C]0.996874593128301[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5.6[/C][C]NA[/C][C]NA[/C][C]0.992777735408245[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5.7[/C][C]NA[/C][C]NA[/C][C]0.9825635645486[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5.8[/C][C]NA[/C][C]NA[/C][C]0.992173282025906[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5.8[/C][C]NA[/C][C]NA[/C][C]0.988244689581904[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5.8[/C][C]5.85780640152322[/C][C]5.91666666666667[/C][C]0.990051786172938[/C][C]0.990131732331033[/C][/ROW]
[ROW][C]8[/C][C]5.9[/C][C]5.94251490781407[/C][C]5.98333333333333[/C][C]0.99317797902185[/C][C]0.99284563716312[/C][/ROW]
[ROW][C]9[/C][C]6.1[/C][C]6.05344409285955[/C][C]6.04583333333333[/C][C]1.00125884375348[/C][C]1.00769081310181[/C][/ROW]
[ROW][C]10[/C][C]6.4[/C][C]6.18674523925211[/C][C]6.10416666666667[/C][C]1.01352823032117[/C][C]1.03446962053567[/C][/ROW]
[ROW][C]11[/C][C]6.4[/C][C]6.306176141408[/C][C]6.1625[/C][C]1.02331458684105[/C][C]1.01487809038126[/C][/ROW]
[ROW][C]12[/C][C]6.3[/C][C]6.35493995950023[/C][C]6.225[/C][C]1.02087388907634[/C][C]0.991354763404476[/C][/ROW]
[ROW][C]13[/C][C]6.2[/C][C]6.32413682658971[/C][C]6.29166666666667[/C][C]1.00516082012022[/C][C]0.980370945475472[/C][/ROW]
[ROW][C]14[/C][C]6.2[/C][C]6.33430731050275[/C][C]6.35416666666667[/C][C]0.996874593128301[/C][C]0.978796843298074[/C][/ROW]
[ROW][C]15[/C][C]6.3[/C][C]6.36618722830537[/C][C]6.4125[/C][C]0.992777735408245[/C][C]0.989603317349655[/C][/ROW]
[ROW][C]16[/C][C]6.4[/C][C]6.35391105074761[/C][C]6.46666666666667[/C][C]0.9825635645486[/C][C]1.00725363463295[/C][/ROW]
[ROW][C]17[/C][C]6.5[/C][C]6.47393066521903[/C][C]6.525[/C][C]0.992173282025906[/C][C]1.00402681711144[/C][/ROW]
[ROW][C]18[/C][C]6.6[/C][C]6.52241495124056[/C][C]6.6[/C][C]0.988244689581904[/C][C]1.01189514149888[/C][/ROW]
[ROW][C]19[/C][C]6.6[/C][C]6.62922175158296[/C][C]6.69583333333333[/C][C]0.990051786172938[/C][C]0.995591978564303[/C][/ROW]
[ROW][C]20[/C][C]6.6[/C][C]6.76188674050709[/C][C]6.80833333333333[/C][C]0.99317797902185[/C][C]0.976058939358255[/C][/ROW]
[ROW][C]21[/C][C]6.8[/C][C]6.92954558114384[/C][C]6.92083333333333[/C][C]1.00125884375348[/C][C]0.981305328087262[/C][/ROW]
[ROW][C]22[/C][C]7[/C][C]7.12425885229919[/C][C]7.02916666666667[/C][C]1.01352823032117[/C][C]0.982558346787317[/C][/ROW]
[ROW][C]23[/C][C]7.2[/C][C]7.29964405279952[/C][C]7.13333333333333[/C][C]1.02331458684105[/C][C]0.986349464154857[/C][/ROW]
[ROW][C]24[/C][C]7.3[/C][C]7.38006748978106[/C][C]7.22916666666667[/C][C]1.02087388907634[/C][C]0.98915084585718[/C][/ROW]
[ROW][C]25[/C][C]7.5[/C][C]7.35861483729676[/C][C]7.32083333333333[/C][C]1.00516082012022[/C][C]1.01921355660397[/C][/ROW]
[ROW][C]26[/C][C]7.6[/C][C]7.3851792774255[/C][C]7.40833333333333[/C][C]0.996874593128301[/C][C]1.02908808500169[/C][/ROW]
[ROW][C]27[/C][C]7.6[/C][C]7.43342329386923[/C][C]7.4875[/C][C]0.992777735408245[/C][C]1.02240915114684[/C][/ROW]
[ROW][C]28[/C][C]7.7[/C][C]7.43063695689878[/C][C]7.5625[/C][C]0.9825635645486[/C][C]1.03625033017541[/C][/ROW]
[ROW][C]29[/C][C]7.7[/C][C]7.5694553307893[/C][C]7.62916666666667[/C][C]0.992173282025906[/C][C]1.01724624342252[/C][/ROW]
[ROW][C]30[/C][C]7.7[/C][C]7.59301336495429[/C][C]7.68333333333333[/C][C]0.988244689581904[/C][C]1.01409014180582[/C][/ROW]
[ROW][C]31[/C][C]7.7[/C][C]7.64402483241023[/C][C]7.72083333333333[/C][C]0.990051786172938[/C][C]1.00732273492263[/C][/ROW]
[ROW][C]32[/C][C]7.6[/C][C]7.6805763711023[/C][C]7.73333333333333[/C][C]0.99317797902185[/C][C]0.989509072339224[/C][/ROW]
[ROW][C]33[/C][C]7.7[/C][C]7.7347245679956[/C][C]7.725[/C][C]1.00125884375348[/C][C]0.995510561793075[/C][/ROW]
[ROW][C]34[/C][C]7.9[/C][C]7.79149827059396[/C][C]7.6875[/C][C]1.01352823032117[/C][C]1.01392565661158[/C][/ROW]
[ROW][C]35[/C][C]7.9[/C][C]7.80703753544155[/C][C]7.62916666666667[/C][C]1.02331458684105[/C][C]1.01190752114825[/C][/ROW]
[ROW][C]36[/C][C]7.9[/C][C]7.73737335095778[/C][C]7.57916666666667[/C][C]1.02087388907634[/C][C]1.02101832775358[/C][/ROW]
[ROW][C]37[/C][C]7.8[/C][C]7.58896419190765[/C][C]7.55[/C][C]1.00516082012022[/C][C]1.0278082492888[/C][/ROW]
[ROW][C]38[/C][C]7.6[/C][C]7.52640317811867[/C][C]7.55[/C][C]0.996874593128301[/C][C]1.00977848517274[/C][/ROW]
[ROW][C]39[/C][C]7.4[/C][C]7.50788162402485[/C][C]7.5625[/C][C]0.992777735408245[/C][C]0.985630883726292[/C][/ROW]
[ROW][C]40[/C][C]7[/C][C]7.4265429420465[/C][C]7.55833333333333[/C][C]0.9825635645486[/C][C]0.94256507430509[/C][/ROW]
[ROW][C]41[/C][C]7[/C][C]7.47850611327026[/C][C]7.5375[/C][C]0.992173282025906[/C][C]0.936015815722718[/C][/ROW]
[ROW][C]42[/C][C]7.2[/C][C]7.42418823048405[/C][C]7.5125[/C][C]0.988244689581904[/C][C]0.969802997509745[/C][/ROW]
[ROW][C]43[/C][C]7.5[/C][C]7.41301274896987[/C][C]7.4875[/C][C]0.990051786172938[/C][C]1.01173439922145[/C][/ROW]
[ROW][C]44[/C][C]7.8[/C][C]7.41986715160907[/C][C]7.47083333333333[/C][C]0.99317797902185[/C][C]1.05123175935953[/C][/ROW]
[ROW][C]45[/C][C]7.8[/C][C]7.48440985705723[/C][C]7.475[/C][C]1.00125884375348[/C][C]1.04216633628705[/C][/ROW]
[ROW][C]46[/C][C]7.7[/C][C]7.60990779599475[/C][C]7.50833333333333[/C][C]1.01352823032117[/C][C]1.01183880362554[/C][/ROW]
[ROW][C]47[/C][C]7.6[/C][C]7.74734418454249[/C][C]7.57083333333333[/C][C]1.02331458684105[/C][C]0.980981329726325[/C][/ROW]
[ROW][C]48[/C][C]7.6[/C][C]7.78416340420711[/C][C]7.625[/C][C]1.02087388907634[/C][C]0.976341272061738[/C][/ROW]
[ROW][C]49[/C][C]7.5[/C][C]7.681103933752[/C][C]7.64166666666667[/C][C]1.00516082012022[/C][C]0.97642214773892[/C][/ROW]
[ROW][C]50[/C][C]7.5[/C][C]7.60532241674133[/C][C]7.62916666666667[/C][C]0.996874593128301[/C][C]0.986151485634654[/C][/ROW]
[ROW][C]51[/C][C]7.6[/C][C]7.55338393689773[/C][C]7.60833333333333[/C][C]0.992777735408245[/C][C]1.00617154688438[/C][/ROW]
[ROW][C]52[/C][C]7.6[/C][C]7.46748309056936[/C][C]7.6[/C][C]0.9825635645486[/C][C]1.01774585999371[/C][/ROW]
[ROW][C]53[/C][C]7.9[/C][C]7.54878505408043[/C][C]7.60833333333333[/C][C]0.992173282025906[/C][C]1.04652602285049[/C][/ROW]
[ROW][C]54[/C][C]7.6[/C][C]7.5394834442686[/C][C]7.62916666666666[/C][C]0.988244689581904[/C][C]1.00802661829272[/C][/ROW]
[ROW][C]55[/C][C]7.5[/C][C]7.58214659577442[/C][C]7.65833333333333[/C][C]0.990051786172938[/C][C]0.989165786398776[/C][/ROW]
[ROW][C]56[/C][C]7.5[/C][C]NA[/C][C]NA[/C][C]0.99317797902185[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]7.6[/C][C]NA[/C][C]NA[/C][C]1.00125884375348[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]7.7[/C][C]NA[/C][C]NA[/C][C]1.01352823032117[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]7.8[/C][C]NA[/C][C]NA[/C][C]1.02331458684105[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]7.9[/C][C]NA[/C][C]NA[/C][C]1.02087388907634[/C][C]NA[/C][/ROW]
[ROW][C]61[/C][C]7.9[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66051&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66051&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	5.4	NA	NA	1.00516082012022	NA
2	5.4	NA	NA	0.996874593128301	NA
3	5.6	NA	NA	0.992777735408245	NA
4	5.7	NA	NA	0.9825635645486	NA
5	5.8	NA	NA	0.992173282025906	NA
6	5.8	NA	NA	0.988244689581904	NA
7	5.8	5.85780640152322	5.91666666666667	0.990051786172938	0.990131732331033
8	5.9	5.94251490781407	5.98333333333333	0.99317797902185	0.99284563716312
9	6.1	6.05344409285955	6.04583333333333	1.00125884375348	1.00769081310181
10	6.4	6.18674523925211	6.10416666666667	1.01352823032117	1.03446962053567
11	6.4	6.306176141408	6.1625	1.02331458684105	1.01487809038126
12	6.3	6.35493995950023	6.225	1.02087388907634	0.991354763404476
13	6.2	6.32413682658971	6.29166666666667	1.00516082012022	0.980370945475472
14	6.2	6.33430731050275	6.35416666666667	0.996874593128301	0.978796843298074
15	6.3	6.36618722830537	6.4125	0.992777735408245	0.989603317349655
16	6.4	6.35391105074761	6.46666666666667	0.9825635645486	1.00725363463295
17	6.5	6.47393066521903	6.525	0.992173282025906	1.00402681711144
18	6.6	6.52241495124056	6.6	0.988244689581904	1.01189514149888
19	6.6	6.62922175158296	6.69583333333333	0.990051786172938	0.995591978564303
20	6.6	6.76188674050709	6.80833333333333	0.99317797902185	0.976058939358255
21	6.8	6.92954558114384	6.92083333333333	1.00125884375348	0.981305328087262
22	7	7.12425885229919	7.02916666666667	1.01352823032117	0.982558346787317
23	7.2	7.29964405279952	7.13333333333333	1.02331458684105	0.986349464154857
24	7.3	7.38006748978106	7.22916666666667	1.02087388907634	0.98915084585718
25	7.5	7.35861483729676	7.32083333333333	1.00516082012022	1.01921355660397
26	7.6	7.3851792774255	7.40833333333333	0.996874593128301	1.02908808500169
27	7.6	7.43342329386923	7.4875	0.992777735408245	1.02240915114684
28	7.7	7.43063695689878	7.5625	0.9825635645486	1.03625033017541
29	7.7	7.5694553307893	7.62916666666667	0.992173282025906	1.01724624342252
30	7.7	7.59301336495429	7.68333333333333	0.988244689581904	1.01409014180582
31	7.7	7.64402483241023	7.72083333333333	0.990051786172938	1.00732273492263
32	7.6	7.6805763711023	7.73333333333333	0.99317797902185	0.989509072339224
33	7.7	7.7347245679956	7.725	1.00125884375348	0.995510561793075
34	7.9	7.79149827059396	7.6875	1.01352823032117	1.01392565661158
35	7.9	7.80703753544155	7.62916666666667	1.02331458684105	1.01190752114825
36	7.9	7.73737335095778	7.57916666666667	1.02087388907634	1.02101832775358
37	7.8	7.58896419190765	7.55	1.00516082012022	1.0278082492888
38	7.6	7.52640317811867	7.55	0.996874593128301	1.00977848517274
39	7.4	7.50788162402485	7.5625	0.992777735408245	0.985630883726292
40	7	7.4265429420465	7.55833333333333	0.9825635645486	0.94256507430509
41	7	7.47850611327026	7.5375	0.992173282025906	0.936015815722718
42	7.2	7.42418823048405	7.5125	0.988244689581904	0.969802997509745
43	7.5	7.41301274896987	7.4875	0.990051786172938	1.01173439922145
44	7.8	7.41986715160907	7.47083333333333	0.99317797902185	1.05123175935953
45	7.8	7.48440985705723	7.475	1.00125884375348	1.04216633628705
46	7.7	7.60990779599475	7.50833333333333	1.01352823032117	1.01183880362554
47	7.6	7.74734418454249	7.57083333333333	1.02331458684105	0.980981329726325
48	7.6	7.78416340420711	7.625	1.02087388907634	0.976341272061738
49	7.5	7.681103933752	7.64166666666667	1.00516082012022	0.97642214773892
50	7.5	7.60532241674133	7.62916666666667	0.996874593128301	0.986151485634654
51	7.6	7.55338393689773	7.60833333333333	0.992777735408245	1.00617154688438
52	7.6	7.46748309056936	7.6	0.9825635645486	1.01774585999371
53	7.9	7.54878505408043	7.60833333333333	0.992173282025906	1.04652602285049
54	7.6	7.5394834442686	7.62916666666666	0.988244689581904	1.00802661829272
55	7.5	7.58214659577442	7.65833333333333	0.990051786172938	0.989165786398776
56	7.5	NA	NA	0.99317797902185	NA
57	7.6	NA	NA	1.00125884375348	NA
58	7.7	NA	NA	1.01352823032117	NA
59	7.8	NA	NA	1.02331458684105	NA
60	7.9	NA	NA	1.02087388907634	NA
61	7.9	NA	NA	NA	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