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rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 06 Dec 2009 08:00:53 -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/06/t1260111746wvxq5igyp86j9d9.htm/, Retrieved Sun, 05 May 2024 23:20:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64423, Retrieved Sun, 05 May 2024 23:20:57 +0000

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Estimated Impact

119

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] [WS9] [2009-12-06 15:00:53] [48076ccf082563ab8a2c81e57fdb5364] [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	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=64423&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=64423&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64423&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	10414.9	NA	NA	0.899427736488814	NA
2	12476.8	NA	NA	1.03514025597007	NA
3	12384.6	NA	NA	1.04534944959334	NA
4	12266.7	NA	NA	1.02007093876694	NA
5	12919.9	NA	NA	0.964273893705422	NA
6	11497.3	NA	NA	0.966611702500658	NA
7	12142	12193.7369191434	12269.7208333333	0.99380720105844	0.995757090751875
8	13919.4	13704.4214739108	12355.2791666667	1.10919561501159	1.01568680053357
9	12656.8	12276.3535848712	12409.425	0.989276584924057	1.03099018063455
10	12034.1	12333.5284301688	12486.375	0.987758931649002	0.975722403214609
11	13199.7	13347.853060478	12614.3	1.05815249839293	0.98890060747547
12	10881.3	11870.8472522832	12751.5291666667	0.930935191938733	0.916640553849865
13	11301.2	11595.0513648725	12891.5875	0.899427736488814	0.97465717437331
14	13643.9	13505.0738027923	13046.6125	1.03514025597007	1.01027955857442
15	12517	13751.9553041985	13155.3666666667	1.04534944959334	0.91019783900683
16	13981.1	13519.6716981796	13253.6583333333	1.02007093876694	1.03413014103608
17	14275.7	12903.9494058370	13382.0375	0.964273893705422	1.10630470959089
18	13435	13030.5822401568	13480.6791666667	0.966611702500658	1.03103604676980
19	13565.7	13505.3512405104	13589.5083333333	0.99380720105844	1.00446850721724
20	16216.3	15155.0552291133	13663.1041666667	1.10919561501159	1.07002579369345
21	12970	13606.4606852162	13753.95	0.989276584924057	0.953223641331815
22	14079.9	13671.6536861981	13841.0833333333	0.987758931649002	1.02986078518168
23	14235	14613.5489445245	13810.4375	1.05815249839293	0.974096029242348
24	12213.4	12823.5275387469	13774.8875	0.930935191938733	0.952421240029047
25	12581	12402.1041252083	13788.8833333333	0.899427736488814	1.01442463899558
26	14130.4	14239.7732256359	13756.3708333333	1.03514025597007	0.992319173634102
27	14210.8	14358.4278542482	13735.5291666667	1.04534944959334	0.9897183831164
28	14378.5	14038.7390456668	13762.5125	1.02007093876694	1.02420167176183
29	13142.8	13310.4551369601	13803.6041666667	0.964273893705422	0.9874042521285
30	13714.7	13442.8864343097	13907.225	0.966611702500658	1.02021988112587
31	13621.9	13911.4622714962	13998.15	0.99380720105844	0.9791853461667
32	15379.8	15553.6816465549	14022.4875	1.10919561501159	0.988820547410817
33	13306.3	13958.5359778192	14109.8416666667	0.989276584924057	0.95327332473437
34	14391.2	14057.2048068562	14231.4125	0.987758931649002	1.02375971594160
35	14909.9	15173.5497004865	14339.6625	1.05815249839293	0.982624388775817
36	14025.4	13497.5091021241	14498.8708333333	0.930935191938733	1.03911024574104
37	12951.2	13223.4802722478	14702.1041666667	0.899427736488814	0.979409333500562
38	14344.3	15385.4880263655	14863.1916666667	1.03514025597007	0.932326616836508
39	16093.4	15758.3424146528	15074.7125	1.04534944959334	1.02126223536275
40	15413.6	15592.4090925027	15285.6125	1.02007093876694	0.98853229854079
41	14705.7	14913.315398964	15465.85	0.964273893705422	0.986078521548708
42	15972.8	15159.0934294533	15682.7125	0.966611702500658	1.05367778583419
43	16241.4	15733.9680297472	15832.0125	0.99380720105844	1.03225073098492
44	16626.4	17741.8565393658	15995.2458333333	1.10919561501159	0.937128533482907
45	17136.2	15952.9010850830	16125.825	0.989276584924057	1.07417452842001
46	15622.9	15904.1041102669	16101.2	0.987758931649002	0.98231877078286
47	18003.9	16888.5679981318	15960.4291666667	1.05815249839293	1.06604064962711
48	16136.1	14622.7925309665	15707.6375	0.930935191938733	1.10348963550079
49	14423.7	13826.7901645755	15372.875	0.899427736488814	1.04317052825129
50	16789.4	15592.8611243116	15063.525	1.03514025597007	1.07673632607571
51	16782.2	15389.6912200083	14722.0541666667	1.04534944959334	1.09048321763476
52	14133.8	14649.4980196623	14361.2541666667	1.02007093876694	0.96479756378204
53	12607	13528.6502300661	14029.8833333333	0.964273893705422	0.931874191852646
54	12004.5	13239.3623127994	13696.6708333333	0.966611702500658	0.90672796139089
55	12175.4	NA	NA	0.99380720105844	NA
56	13268	NA	NA	1.10919561501159	NA
57	12299.3	NA	NA	0.989276584924057	NA
58	11800.6	NA	NA	0.987758931649002	NA
59	13873.3	NA	NA	1.05815249839293	NA
60	12269.6	NA	NA	0.930935191938733	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 10414.9 & NA & NA & 0.899427736488814 & NA \tabularnewline
2 & 12476.8 & NA & NA & 1.03514025597007 & NA \tabularnewline
3 & 12384.6 & NA & NA & 1.04534944959334 & NA \tabularnewline
4 & 12266.7 & NA & NA & 1.02007093876694 & NA \tabularnewline
5 & 12919.9 & NA & NA & 0.964273893705422 & NA \tabularnewline
6 & 11497.3 & NA & NA & 0.966611702500658 & NA \tabularnewline
7 & 12142 & 12193.7369191434 & 12269.7208333333 & 0.99380720105844 & 0.995757090751875 \tabularnewline
8 & 13919.4 & 13704.4214739108 & 12355.2791666667 & 1.10919561501159 & 1.01568680053357 \tabularnewline
9 & 12656.8 & 12276.3535848712 & 12409.425 & 0.989276584924057 & 1.03099018063455 \tabularnewline
10 & 12034.1 & 12333.5284301688 & 12486.375 & 0.987758931649002 & 0.975722403214609 \tabularnewline
11 & 13199.7 & 13347.853060478 & 12614.3 & 1.05815249839293 & 0.98890060747547 \tabularnewline
12 & 10881.3 & 11870.8472522832 & 12751.5291666667 & 0.930935191938733 & 0.916640553849865 \tabularnewline
13 & 11301.2 & 11595.0513648725 & 12891.5875 & 0.899427736488814 & 0.97465717437331 \tabularnewline
14 & 13643.9 & 13505.0738027923 & 13046.6125 & 1.03514025597007 & 1.01027955857442 \tabularnewline
15 & 12517 & 13751.9553041985 & 13155.3666666667 & 1.04534944959334 & 0.91019783900683 \tabularnewline
16 & 13981.1 & 13519.6716981796 & 13253.6583333333 & 1.02007093876694 & 1.03413014103608 \tabularnewline
17 & 14275.7 & 12903.9494058370 & 13382.0375 & 0.964273893705422 & 1.10630470959089 \tabularnewline
18 & 13435 & 13030.5822401568 & 13480.6791666667 & 0.966611702500658 & 1.03103604676980 \tabularnewline
19 & 13565.7 & 13505.3512405104 & 13589.5083333333 & 0.99380720105844 & 1.00446850721724 \tabularnewline
20 & 16216.3 & 15155.0552291133 & 13663.1041666667 & 1.10919561501159 & 1.07002579369345 \tabularnewline
21 & 12970 & 13606.4606852162 & 13753.95 & 0.989276584924057 & 0.953223641331815 \tabularnewline
22 & 14079.9 & 13671.6536861981 & 13841.0833333333 & 0.987758931649002 & 1.02986078518168 \tabularnewline
23 & 14235 & 14613.5489445245 & 13810.4375 & 1.05815249839293 & 0.974096029242348 \tabularnewline
24 & 12213.4 & 12823.5275387469 & 13774.8875 & 0.930935191938733 & 0.952421240029047 \tabularnewline
25 & 12581 & 12402.1041252083 & 13788.8833333333 & 0.899427736488814 & 1.01442463899558 \tabularnewline
26 & 14130.4 & 14239.7732256359 & 13756.3708333333 & 1.03514025597007 & 0.992319173634102 \tabularnewline
27 & 14210.8 & 14358.4278542482 & 13735.5291666667 & 1.04534944959334 & 0.9897183831164 \tabularnewline
28 & 14378.5 & 14038.7390456668 & 13762.5125 & 1.02007093876694 & 1.02420167176183 \tabularnewline
29 & 13142.8 & 13310.4551369601 & 13803.6041666667 & 0.964273893705422 & 0.9874042521285 \tabularnewline
30 & 13714.7 & 13442.8864343097 & 13907.225 & 0.966611702500658 & 1.02021988112587 \tabularnewline
31 & 13621.9 & 13911.4622714962 & 13998.15 & 0.99380720105844 & 0.9791853461667 \tabularnewline
32 & 15379.8 & 15553.6816465549 & 14022.4875 & 1.10919561501159 & 0.988820547410817 \tabularnewline
33 & 13306.3 & 13958.5359778192 & 14109.8416666667 & 0.989276584924057 & 0.95327332473437 \tabularnewline
34 & 14391.2 & 14057.2048068562 & 14231.4125 & 0.987758931649002 & 1.02375971594160 \tabularnewline
35 & 14909.9 & 15173.5497004865 & 14339.6625 & 1.05815249839293 & 0.982624388775817 \tabularnewline
36 & 14025.4 & 13497.5091021241 & 14498.8708333333 & 0.930935191938733 & 1.03911024574104 \tabularnewline
37 & 12951.2 & 13223.4802722478 & 14702.1041666667 & 0.899427736488814 & 0.979409333500562 \tabularnewline
38 & 14344.3 & 15385.4880263655 & 14863.1916666667 & 1.03514025597007 & 0.932326616836508 \tabularnewline
39 & 16093.4 & 15758.3424146528 & 15074.7125 & 1.04534944959334 & 1.02126223536275 \tabularnewline
40 & 15413.6 & 15592.4090925027 & 15285.6125 & 1.02007093876694 & 0.98853229854079 \tabularnewline
41 & 14705.7 & 14913.315398964 & 15465.85 & 0.964273893705422 & 0.986078521548708 \tabularnewline
42 & 15972.8 & 15159.0934294533 & 15682.7125 & 0.966611702500658 & 1.05367778583419 \tabularnewline
43 & 16241.4 & 15733.9680297472 & 15832.0125 & 0.99380720105844 & 1.03225073098492 \tabularnewline
44 & 16626.4 & 17741.8565393658 & 15995.2458333333 & 1.10919561501159 & 0.937128533482907 \tabularnewline
45 & 17136.2 & 15952.9010850830 & 16125.825 & 0.989276584924057 & 1.07417452842001 \tabularnewline
46 & 15622.9 & 15904.1041102669 & 16101.2 & 0.987758931649002 & 0.98231877078286 \tabularnewline
47 & 18003.9 & 16888.5679981318 & 15960.4291666667 & 1.05815249839293 & 1.06604064962711 \tabularnewline
48 & 16136.1 & 14622.7925309665 & 15707.6375 & 0.930935191938733 & 1.10348963550079 \tabularnewline
49 & 14423.7 & 13826.7901645755 & 15372.875 & 0.899427736488814 & 1.04317052825129 \tabularnewline
50 & 16789.4 & 15592.8611243116 & 15063.525 & 1.03514025597007 & 1.07673632607571 \tabularnewline
51 & 16782.2 & 15389.6912200083 & 14722.0541666667 & 1.04534944959334 & 1.09048321763476 \tabularnewline
52 & 14133.8 & 14649.4980196623 & 14361.2541666667 & 1.02007093876694 & 0.96479756378204 \tabularnewline
53 & 12607 & 13528.6502300661 & 14029.8833333333 & 0.964273893705422 & 0.931874191852646 \tabularnewline
54 & 12004.5 & 13239.3623127994 & 13696.6708333333 & 0.966611702500658 & 0.90672796139089 \tabularnewline
55 & 12175.4 & NA & NA & 0.99380720105844 & NA \tabularnewline
56 & 13268 & NA & NA & 1.10919561501159 & NA \tabularnewline
57 & 12299.3 & NA & NA & 0.989276584924057 & NA \tabularnewline
58 & 11800.6 & NA & NA & 0.987758931649002 & NA \tabularnewline
59 & 13873.3 & NA & NA & 1.05815249839293 & NA \tabularnewline
60 & 12269.6 & NA & NA & 0.930935191938733 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64423&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]10414.9[/C][C]NA[/C][C]NA[/C][C]0.899427736488814[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]12476.8[/C][C]NA[/C][C]NA[/C][C]1.03514025597007[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]12384.6[/C][C]NA[/C][C]NA[/C][C]1.04534944959334[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]12266.7[/C][C]NA[/C][C]NA[/C][C]1.02007093876694[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]12919.9[/C][C]NA[/C][C]NA[/C][C]0.964273893705422[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]11497.3[/C][C]NA[/C][C]NA[/C][C]0.966611702500658[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]12142[/C][C]12193.7369191434[/C][C]12269.7208333333[/C][C]0.99380720105844[/C][C]0.995757090751875[/C][/ROW]
[ROW][C]8[/C][C]13919.4[/C][C]13704.4214739108[/C][C]12355.2791666667[/C][C]1.10919561501159[/C][C]1.01568680053357[/C][/ROW]
[ROW][C]9[/C][C]12656.8[/C][C]12276.3535848712[/C][C]12409.425[/C][C]0.989276584924057[/C][C]1.03099018063455[/C][/ROW]
[ROW][C]10[/C][C]12034.1[/C][C]12333.5284301688[/C][C]12486.375[/C][C]0.987758931649002[/C][C]0.975722403214609[/C][/ROW]
[ROW][C]11[/C][C]13199.7[/C][C]13347.853060478[/C][C]12614.3[/C][C]1.05815249839293[/C][C]0.98890060747547[/C][/ROW]
[ROW][C]12[/C][C]10881.3[/C][C]11870.8472522832[/C][C]12751.5291666667[/C][C]0.930935191938733[/C][C]0.916640553849865[/C][/ROW]
[ROW][C]13[/C][C]11301.2[/C][C]11595.0513648725[/C][C]12891.5875[/C][C]0.899427736488814[/C][C]0.97465717437331[/C][/ROW]
[ROW][C]14[/C][C]13643.9[/C][C]13505.0738027923[/C][C]13046.6125[/C][C]1.03514025597007[/C][C]1.01027955857442[/C][/ROW]
[ROW][C]15[/C][C]12517[/C][C]13751.9553041985[/C][C]13155.3666666667[/C][C]1.04534944959334[/C][C]0.91019783900683[/C][/ROW]
[ROW][C]16[/C][C]13981.1[/C][C]13519.6716981796[/C][C]13253.6583333333[/C][C]1.02007093876694[/C][C]1.03413014103608[/C][/ROW]
[ROW][C]17[/C][C]14275.7[/C][C]12903.9494058370[/C][C]13382.0375[/C][C]0.964273893705422[/C][C]1.10630470959089[/C][/ROW]
[ROW][C]18[/C][C]13435[/C][C]13030.5822401568[/C][C]13480.6791666667[/C][C]0.966611702500658[/C][C]1.03103604676980[/C][/ROW]
[ROW][C]19[/C][C]13565.7[/C][C]13505.3512405104[/C][C]13589.5083333333[/C][C]0.99380720105844[/C][C]1.00446850721724[/C][/ROW]
[ROW][C]20[/C][C]16216.3[/C][C]15155.0552291133[/C][C]13663.1041666667[/C][C]1.10919561501159[/C][C]1.07002579369345[/C][/ROW]
[ROW][C]21[/C][C]12970[/C][C]13606.4606852162[/C][C]13753.95[/C][C]0.989276584924057[/C][C]0.953223641331815[/C][/ROW]
[ROW][C]22[/C][C]14079.9[/C][C]13671.6536861981[/C][C]13841.0833333333[/C][C]0.987758931649002[/C][C]1.02986078518168[/C][/ROW]
[ROW][C]23[/C][C]14235[/C][C]14613.5489445245[/C][C]13810.4375[/C][C]1.05815249839293[/C][C]0.974096029242348[/C][/ROW]
[ROW][C]24[/C][C]12213.4[/C][C]12823.5275387469[/C][C]13774.8875[/C][C]0.930935191938733[/C][C]0.952421240029047[/C][/ROW]
[ROW][C]25[/C][C]12581[/C][C]12402.1041252083[/C][C]13788.8833333333[/C][C]0.899427736488814[/C][C]1.01442463899558[/C][/ROW]
[ROW][C]26[/C][C]14130.4[/C][C]14239.7732256359[/C][C]13756.3708333333[/C][C]1.03514025597007[/C][C]0.992319173634102[/C][/ROW]
[ROW][C]27[/C][C]14210.8[/C][C]14358.4278542482[/C][C]13735.5291666667[/C][C]1.04534944959334[/C][C]0.9897183831164[/C][/ROW]
[ROW][C]28[/C][C]14378.5[/C][C]14038.7390456668[/C][C]13762.5125[/C][C]1.02007093876694[/C][C]1.02420167176183[/C][/ROW]
[ROW][C]29[/C][C]13142.8[/C][C]13310.4551369601[/C][C]13803.6041666667[/C][C]0.964273893705422[/C][C]0.9874042521285[/C][/ROW]
[ROW][C]30[/C][C]13714.7[/C][C]13442.8864343097[/C][C]13907.225[/C][C]0.966611702500658[/C][C]1.02021988112587[/C][/ROW]
[ROW][C]31[/C][C]13621.9[/C][C]13911.4622714962[/C][C]13998.15[/C][C]0.99380720105844[/C][C]0.9791853461667[/C][/ROW]
[ROW][C]32[/C][C]15379.8[/C][C]15553.6816465549[/C][C]14022.4875[/C][C]1.10919561501159[/C][C]0.988820547410817[/C][/ROW]
[ROW][C]33[/C][C]13306.3[/C][C]13958.5359778192[/C][C]14109.8416666667[/C][C]0.989276584924057[/C][C]0.95327332473437[/C][/ROW]
[ROW][C]34[/C][C]14391.2[/C][C]14057.2048068562[/C][C]14231.4125[/C][C]0.987758931649002[/C][C]1.02375971594160[/C][/ROW]
[ROW][C]35[/C][C]14909.9[/C][C]15173.5497004865[/C][C]14339.6625[/C][C]1.05815249839293[/C][C]0.982624388775817[/C][/ROW]
[ROW][C]36[/C][C]14025.4[/C][C]13497.5091021241[/C][C]14498.8708333333[/C][C]0.930935191938733[/C][C]1.03911024574104[/C][/ROW]
[ROW][C]37[/C][C]12951.2[/C][C]13223.4802722478[/C][C]14702.1041666667[/C][C]0.899427736488814[/C][C]0.979409333500562[/C][/ROW]
[ROW][C]38[/C][C]14344.3[/C][C]15385.4880263655[/C][C]14863.1916666667[/C][C]1.03514025597007[/C][C]0.932326616836508[/C][/ROW]
[ROW][C]39[/C][C]16093.4[/C][C]15758.3424146528[/C][C]15074.7125[/C][C]1.04534944959334[/C][C]1.02126223536275[/C][/ROW]
[ROW][C]40[/C][C]15413.6[/C][C]15592.4090925027[/C][C]15285.6125[/C][C]1.02007093876694[/C][C]0.98853229854079[/C][/ROW]
[ROW][C]41[/C][C]14705.7[/C][C]14913.315398964[/C][C]15465.85[/C][C]0.964273893705422[/C][C]0.986078521548708[/C][/ROW]
[ROW][C]42[/C][C]15972.8[/C][C]15159.0934294533[/C][C]15682.7125[/C][C]0.966611702500658[/C][C]1.05367778583419[/C][/ROW]
[ROW][C]43[/C][C]16241.4[/C][C]15733.9680297472[/C][C]15832.0125[/C][C]0.99380720105844[/C][C]1.03225073098492[/C][/ROW]
[ROW][C]44[/C][C]16626.4[/C][C]17741.8565393658[/C][C]15995.2458333333[/C][C]1.10919561501159[/C][C]0.937128533482907[/C][/ROW]
[ROW][C]45[/C][C]17136.2[/C][C]15952.9010850830[/C][C]16125.825[/C][C]0.989276584924057[/C][C]1.07417452842001[/C][/ROW]
[ROW][C]46[/C][C]15622.9[/C][C]15904.1041102669[/C][C]16101.2[/C][C]0.987758931649002[/C][C]0.98231877078286[/C][/ROW]
[ROW][C]47[/C][C]18003.9[/C][C]16888.5679981318[/C][C]15960.4291666667[/C][C]1.05815249839293[/C][C]1.06604064962711[/C][/ROW]
[ROW][C]48[/C][C]16136.1[/C][C]14622.7925309665[/C][C]15707.6375[/C][C]0.930935191938733[/C][C]1.10348963550079[/C][/ROW]
[ROW][C]49[/C][C]14423.7[/C][C]13826.7901645755[/C][C]15372.875[/C][C]0.899427736488814[/C][C]1.04317052825129[/C][/ROW]
[ROW][C]50[/C][C]16789.4[/C][C]15592.8611243116[/C][C]15063.525[/C][C]1.03514025597007[/C][C]1.07673632607571[/C][/ROW]
[ROW][C]51[/C][C]16782.2[/C][C]15389.6912200083[/C][C]14722.0541666667[/C][C]1.04534944959334[/C][C]1.09048321763476[/C][/ROW]
[ROW][C]52[/C][C]14133.8[/C][C]14649.4980196623[/C][C]14361.2541666667[/C][C]1.02007093876694[/C][C]0.96479756378204[/C][/ROW]
[ROW][C]53[/C][C]12607[/C][C]13528.6502300661[/C][C]14029.8833333333[/C][C]0.964273893705422[/C][C]0.931874191852646[/C][/ROW]
[ROW][C]54[/C][C]12004.5[/C][C]13239.3623127994[/C][C]13696.6708333333[/C][C]0.966611702500658[/C][C]0.90672796139089[/C][/ROW]
[ROW][C]55[/C][C]12175.4[/C][C]NA[/C][C]NA[/C][C]0.99380720105844[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]13268[/C][C]NA[/C][C]NA[/C][C]1.10919561501159[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]12299.3[/C][C]NA[/C][C]NA[/C][C]0.989276584924057[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]11800.6[/C][C]NA[/C][C]NA[/C][C]0.987758931649002[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]13873.3[/C][C]NA[/C][C]NA[/C][C]1.05815249839293[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]12269.6[/C][C]NA[/C][C]NA[/C][C]0.930935191938733[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64423&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64423&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	10414.9	NA	NA	0.899427736488814	NA
2	12476.8	NA	NA	1.03514025597007	NA
3	12384.6	NA	NA	1.04534944959334	NA
4	12266.7	NA	NA	1.02007093876694	NA
5	12919.9	NA	NA	0.964273893705422	NA
6	11497.3	NA	NA	0.966611702500658	NA
7	12142	12193.7369191434	12269.7208333333	0.99380720105844	0.995757090751875
8	13919.4	13704.4214739108	12355.2791666667	1.10919561501159	1.01568680053357
9	12656.8	12276.3535848712	12409.425	0.989276584924057	1.03099018063455
10	12034.1	12333.5284301688	12486.375	0.987758931649002	0.975722403214609
11	13199.7	13347.853060478	12614.3	1.05815249839293	0.98890060747547
12	10881.3	11870.8472522832	12751.5291666667	0.930935191938733	0.916640553849865
13	11301.2	11595.0513648725	12891.5875	0.899427736488814	0.97465717437331
14	13643.9	13505.0738027923	13046.6125	1.03514025597007	1.01027955857442
15	12517	13751.9553041985	13155.3666666667	1.04534944959334	0.91019783900683
16	13981.1	13519.6716981796	13253.6583333333	1.02007093876694	1.03413014103608
17	14275.7	12903.9494058370	13382.0375	0.964273893705422	1.10630470959089
18	13435	13030.5822401568	13480.6791666667	0.966611702500658	1.03103604676980
19	13565.7	13505.3512405104	13589.5083333333	0.99380720105844	1.00446850721724
20	16216.3	15155.0552291133	13663.1041666667	1.10919561501159	1.07002579369345
21	12970	13606.4606852162	13753.95	0.989276584924057	0.953223641331815
22	14079.9	13671.6536861981	13841.0833333333	0.987758931649002	1.02986078518168
23	14235	14613.5489445245	13810.4375	1.05815249839293	0.974096029242348
24	12213.4	12823.5275387469	13774.8875	0.930935191938733	0.952421240029047
25	12581	12402.1041252083	13788.8833333333	0.899427736488814	1.01442463899558
26	14130.4	14239.7732256359	13756.3708333333	1.03514025597007	0.992319173634102
27	14210.8	14358.4278542482	13735.5291666667	1.04534944959334	0.9897183831164
28	14378.5	14038.7390456668	13762.5125	1.02007093876694	1.02420167176183
29	13142.8	13310.4551369601	13803.6041666667	0.964273893705422	0.9874042521285
30	13714.7	13442.8864343097	13907.225	0.966611702500658	1.02021988112587
31	13621.9	13911.4622714962	13998.15	0.99380720105844	0.9791853461667
32	15379.8	15553.6816465549	14022.4875	1.10919561501159	0.988820547410817
33	13306.3	13958.5359778192	14109.8416666667	0.989276584924057	0.95327332473437
34	14391.2	14057.2048068562	14231.4125	0.987758931649002	1.02375971594160
35	14909.9	15173.5497004865	14339.6625	1.05815249839293	0.982624388775817
36	14025.4	13497.5091021241	14498.8708333333	0.930935191938733	1.03911024574104
37	12951.2	13223.4802722478	14702.1041666667	0.899427736488814	0.979409333500562
38	14344.3	15385.4880263655	14863.1916666667	1.03514025597007	0.932326616836508
39	16093.4	15758.3424146528	15074.7125	1.04534944959334	1.02126223536275
40	15413.6	15592.4090925027	15285.6125	1.02007093876694	0.98853229854079
41	14705.7	14913.315398964	15465.85	0.964273893705422	0.986078521548708
42	15972.8	15159.0934294533	15682.7125	0.966611702500658	1.05367778583419
43	16241.4	15733.9680297472	15832.0125	0.99380720105844	1.03225073098492
44	16626.4	17741.8565393658	15995.2458333333	1.10919561501159	0.937128533482907
45	17136.2	15952.9010850830	16125.825	0.989276584924057	1.07417452842001
46	15622.9	15904.1041102669	16101.2	0.987758931649002	0.98231877078286
47	18003.9	16888.5679981318	15960.4291666667	1.05815249839293	1.06604064962711
48	16136.1	14622.7925309665	15707.6375	0.930935191938733	1.10348963550079
49	14423.7	13826.7901645755	15372.875	0.899427736488814	1.04317052825129
50	16789.4	15592.8611243116	15063.525	1.03514025597007	1.07673632607571
51	16782.2	15389.6912200083	14722.0541666667	1.04534944959334	1.09048321763476
52	14133.8	14649.4980196623	14361.2541666667	1.02007093876694	0.96479756378204
53	12607	13528.6502300661	14029.8833333333	0.964273893705422	0.931874191852646
54	12004.5	13239.3623127994	13696.6708333333	0.966611702500658	0.90672796139089
55	12175.4	NA	NA	0.99380720105844	NA
56	13268	NA	NA	1.10919561501159	NA
57	12299.3	NA	NA	0.989276584924057	NA
58	11800.6	NA	NA	0.987758931649002	NA
59	13873.3	NA	NA	1.05815249839293	NA
60	12269.6	NA	NA	0.930935191938733	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