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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 22 Sep 2009 02:36:12 -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/Sep/22/t1253608661mz64605c9fweodo.htm/, Retrieved Fri, 28 Nov 2025 18:19:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42996, Retrieved Fri, 28 Nov 2025 18:19:17 +0000

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Estimated Impact

532

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

-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
F   PD    [Classical Decomposition] [multiplicative in...] [2009-09-22 08:36:12] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]

Feedback Forum

2009-09-22 08:41:41 [8326296a4a969e220946fc6855491489] [reply] 
testing
  2009-09-22 08:42:15 [8326296a4a969e220946fc6855491489] [reply] 
ok
2009-09-22 08:44:24 [8326296a4a969e220946fc6855491489] [reply] 
how about this? http://www.freestatistics.org/blog/index.php?v=date/2008/May/08/t1210276297kv0io0xtosa415c.htm/

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Dataseries X:

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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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42996&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42996&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42996&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	'George Udny Yule' @ 72.249.76.132

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	13328	NA	NA	0.997446154479086	NA
2	12873	NA	NA	0.952612175250179	NA
3	14000	NA	NA	1.03439377187718	NA
4	13477	NA	NA	0.990786621874973	NA
5	14237	NA	NA	1.02155910700688	NA
6	13674	NA	NA	0.981559624901186	NA
7	13529	13938.9369024288	13937.9583333333	0.978569095450089	0.991916327070772
8	14058	14034.4952714517	14033.5	0.995271451725292	1.00650513059493
9	12975	14125.9107947601	14124.9583333333	0.952461426798343	0.964434626586157
10	14326	14228.6196634146	14227.625	0.99466341461539	1.01231667993762
11	14008	14336.2670351651	14335.2916666667	0.975368498391713	1.00184578306806
12	16193	14417.3753086576	14416.25	1.12530865762970	0.9981673285668
13	14483	14506.2891128211	14505.2916666667	0.997446154479086	1.00101965408011
14	14011	14605.7026121752	14604.75	0.952612175250179	1.00706818930871
15	15057	14709.2427271052	14708.2083333333	1.03439377187718	0.98967541219641
16	14884	14811.1991199552	14810.2083333333	0.990786621874973	1.01432787297848
17	15414	14890.8548924403	14889.8333333333	1.02155910700688	1.01335594167248
18	14440	14971.2315596249	14970.25	0.981559624901186	0.982701127233388
19	14900	15056.4369024288	15055.4583333333	0.978569095450089	1.01134839856085
20	15074	15131.4119381184	15130.4166666667	0.995271451725292	1.00100460640068
21	14442	15195.3274614268	15194.375	0.952461426798343	0.997923163673607
22	15307	15262.8696634146	15261.875	0.99466341461539	1.00833779477249
23	14938	15328.4753684984	15327.5	0.975368498391713	0.999199953807792
24	17193	15402.8753086576	15401.75	1.12530865762970	0.991996028282445
25	15528	15491.5807794878	15490.5833333333	0.997446154479086	1.00498201475996
26	14765	15574.6609455086	15573.7083333333	0.952612175250179	0.995234188326474
27	15838	15664.7010604385	15663.6666666667	1.03439377187718	0.977509550329222
28	15723	15766.0324532885	15765.0416666667	0.990786621874973	1.00660749009184
29	16150	15846.521559107	15845.5	1.02155910700688	0.997707137407307
30	15486	15948.6482262916	15947.6666666667	0.981559624901186	0.989294100759252
31	15986	16052.4785690954	16051.5	0.978569095450089	1.01773026464026
32	15983	16121.6202714517	16120.625	0.995271451725292	0.996173253302707
33	15692	16213.0774614268	16212.125	0.952461426798343	1.01622753806839
34	16490	16302.1196634146	16301.125	0.99466341461539	1.01701400570137
35	15686	16351.2253684984	16350.25	0.975368498391713	0.983601286553775
36	18897	16403.7503086576	16402.625	1.12530865762970	1.02378284218309
37	16316	16453.3307794878	16452.3333333333	0.997446154479086	0.994252602326266
38	15636	16481.3276121752	16480.375	0.952612175250179	0.995961256229526
39	17163	16507.2427271052	16506.2083333333	1.03439377187718	1.00521736703713
40	16534	16512.3241199552	16511.3333333333	0.990786621874973	1.01068461395776
41	16518	16536.4798924403	16535.4583333333	1.02155910700688	0.977862349098764
42	16375	16572.3148929582	16571.3333333333	0.981559624901186	1.00671645989863
43	16290	16596.6869024288	16595.7083333333	0.978569095450089	1.00307589670141
44	16352	16643.1619381184	16642.1666666667	0.995271451725292	0.987232546377255
45	15943	16702.7441280935	16701.7916666667	0.952461426798343	1.00221197474349
46	16362	16751.7029967479	16750.7083333333	0.99466341461539	0.982035228512496
47	16393	16809.5587018317	16808.5833333333	0.975368498391713	0.999904682671003
48	19051	16877.8753086576	16876.75	1.12530865762970	1.00313018702050
49	16747	16930.3724461545	16929.375	0.997446154479086	0.99176010671743
50	16320	17001.5776121752	17000.625	0.952612175250179	1.00771828465007
51	17910	17092.3260604385	17091.2916666667	1.03439377187718	1.01305914959772
52	16961	17175.6157866219	17174.625	0.990786621874973	0.99674497998709
53	17480	17257.7298924403	17256.7083333333	1.02155910700688	0.991562216520764
54	17049	17346.9815596249	17346	0.981559624901186	1.00134303814751
55	16879	17440.3952357621	17439.4166666667	0.978569095450089	0.989061422914232
56	17473	17524.9952714517	17524	0.995271451725292	1.00182689237015
57	16998	17610.7024614268	17609.75	0.952461426798343	1.01343812451058
58	17307	17693.8696634146	17692.875	0.99466341461539	0.983438577181112
59	17418	17796.4753684984	17795.5	0.975368498391713	1.00350459703245
60	20169	17925.5003086576	17924.375	1.12530865762970	0.999927896016888
61	17871	18035.9557794878	18034.9583333333	0.997446154479086	0.993445967410447
62	17226	18143.2859455086	18142.3333333333	0.952612175250179	0.99672459029201
63	19062	18248.5760604385	18247.5416666667	1.03439377187718	1.00989960942047
64	17804	18360.7407866219	18359.75	0.990786621874973	0.97874755126211
65	19100	18487.271559107	18486.25	1.02155910700688	1.01139556637101
66	18522	18594.1482262916	18593.1666666667	0.981559624901186	1.01488733202451
67	18060	18709.5619024288	18708.5833333333	0.978569095450089	0.98647332754123
68	18869	18830.4119381184	18829.4166666667	0.995271451725292	1.00686320838303
69	18127	18931.0357947601	18930.0833333333	0.952461426798343	1.00537020984653
70	18871	19040.5779967479	19039.5833333333	0.99466341461539	0.996463351323665
71	18890	19146.8920351651	19145.9166666667	0.975368498391713	1.01154933429567
72	21263	19230.9586419910	19229.8333333333	1.12530865762970	0.982601355359033
73	19547	19324.7057794878	19323.7083333333	0.997446154479086	1.01414529213454
74	18450	19428.9942788419	19428.0416666667	0.952612175250179	0.996899128621962
75	20254	19498.8260604385	19497.7916666667	1.03439377187718	1.00424454884781
76	19240	19566.7824532885	19565.7916666667	0.990786621874973	0.99249312915148
77	20216	19638.7298924403	19637.7083333333	1.02155910700688	1.00772242635843
78	19420	19693.9815596249	19693	0.981559624901186	1.00466357936546
79	19415	NA	NA	0.978569095450089	NA
80	20018	NA	NA	0.995271451725292	NA
81	18652	NA	NA	0.952461426798343	NA
82	19978	NA	NA	0.99466341461539	NA
83	19509	NA	NA	0.975368498391713	NA
84	21971	NA	NA	1.12530865762970	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 13328 & NA & NA & 0.997446154479086 & NA \tabularnewline
2 & 12873 & NA & NA & 0.952612175250179 & NA \tabularnewline
3 & 14000 & NA & NA & 1.03439377187718 & NA \tabularnewline
4 & 13477 & NA & NA & 0.990786621874973 & NA \tabularnewline
5 & 14237 & NA & NA & 1.02155910700688 & NA \tabularnewline
6 & 13674 & NA & NA & 0.981559624901186 & NA \tabularnewline
7 & 13529 & 13938.9369024288 & 13937.9583333333 & 0.978569095450089 & 0.991916327070772 \tabularnewline
8 & 14058 & 14034.4952714517 & 14033.5 & 0.995271451725292 & 1.00650513059493 \tabularnewline
9 & 12975 & 14125.9107947601 & 14124.9583333333 & 0.952461426798343 & 0.964434626586157 \tabularnewline
10 & 14326 & 14228.6196634146 & 14227.625 & 0.99466341461539 & 1.01231667993762 \tabularnewline
11 & 14008 & 14336.2670351651 & 14335.2916666667 & 0.975368498391713 & 1.00184578306806 \tabularnewline
12 & 16193 & 14417.3753086576 & 14416.25 & 1.12530865762970 & 0.9981673285668 \tabularnewline
13 & 14483 & 14506.2891128211 & 14505.2916666667 & 0.997446154479086 & 1.00101965408011 \tabularnewline
14 & 14011 & 14605.7026121752 & 14604.75 & 0.952612175250179 & 1.00706818930871 \tabularnewline
15 & 15057 & 14709.2427271052 & 14708.2083333333 & 1.03439377187718 & 0.98967541219641 \tabularnewline
16 & 14884 & 14811.1991199552 & 14810.2083333333 & 0.990786621874973 & 1.01432787297848 \tabularnewline
17 & 15414 & 14890.8548924403 & 14889.8333333333 & 1.02155910700688 & 1.01335594167248 \tabularnewline
18 & 14440 & 14971.2315596249 & 14970.25 & 0.981559624901186 & 0.982701127233388 \tabularnewline
19 & 14900 & 15056.4369024288 & 15055.4583333333 & 0.978569095450089 & 1.01134839856085 \tabularnewline
20 & 15074 & 15131.4119381184 & 15130.4166666667 & 0.995271451725292 & 1.00100460640068 \tabularnewline
21 & 14442 & 15195.3274614268 & 15194.375 & 0.952461426798343 & 0.997923163673607 \tabularnewline
22 & 15307 & 15262.8696634146 & 15261.875 & 0.99466341461539 & 1.00833779477249 \tabularnewline
23 & 14938 & 15328.4753684984 & 15327.5 & 0.975368498391713 & 0.999199953807792 \tabularnewline
24 & 17193 & 15402.8753086576 & 15401.75 & 1.12530865762970 & 0.991996028282445 \tabularnewline
25 & 15528 & 15491.5807794878 & 15490.5833333333 & 0.997446154479086 & 1.00498201475996 \tabularnewline
26 & 14765 & 15574.6609455086 & 15573.7083333333 & 0.952612175250179 & 0.995234188326474 \tabularnewline
27 & 15838 & 15664.7010604385 & 15663.6666666667 & 1.03439377187718 & 0.977509550329222 \tabularnewline
28 & 15723 & 15766.0324532885 & 15765.0416666667 & 0.990786621874973 & 1.00660749009184 \tabularnewline
29 & 16150 & 15846.521559107 & 15845.5 & 1.02155910700688 & 0.997707137407307 \tabularnewline
30 & 15486 & 15948.6482262916 & 15947.6666666667 & 0.981559624901186 & 0.989294100759252 \tabularnewline
31 & 15986 & 16052.4785690954 & 16051.5 & 0.978569095450089 & 1.01773026464026 \tabularnewline
32 & 15983 & 16121.6202714517 & 16120.625 & 0.995271451725292 & 0.996173253302707 \tabularnewline
33 & 15692 & 16213.0774614268 & 16212.125 & 0.952461426798343 & 1.01622753806839 \tabularnewline
34 & 16490 & 16302.1196634146 & 16301.125 & 0.99466341461539 & 1.01701400570137 \tabularnewline
35 & 15686 & 16351.2253684984 & 16350.25 & 0.975368498391713 & 0.983601286553775 \tabularnewline
36 & 18897 & 16403.7503086576 & 16402.625 & 1.12530865762970 & 1.02378284218309 \tabularnewline
37 & 16316 & 16453.3307794878 & 16452.3333333333 & 0.997446154479086 & 0.994252602326266 \tabularnewline
38 & 15636 & 16481.3276121752 & 16480.375 & 0.952612175250179 & 0.995961256229526 \tabularnewline
39 & 17163 & 16507.2427271052 & 16506.2083333333 & 1.03439377187718 & 1.00521736703713 \tabularnewline
40 & 16534 & 16512.3241199552 & 16511.3333333333 & 0.990786621874973 & 1.01068461395776 \tabularnewline
41 & 16518 & 16536.4798924403 & 16535.4583333333 & 1.02155910700688 & 0.977862349098764 \tabularnewline
42 & 16375 & 16572.3148929582 & 16571.3333333333 & 0.981559624901186 & 1.00671645989863 \tabularnewline
43 & 16290 & 16596.6869024288 & 16595.7083333333 & 0.978569095450089 & 1.00307589670141 \tabularnewline
44 & 16352 & 16643.1619381184 & 16642.1666666667 & 0.995271451725292 & 0.987232546377255 \tabularnewline
45 & 15943 & 16702.7441280935 & 16701.7916666667 & 0.952461426798343 & 1.00221197474349 \tabularnewline
46 & 16362 & 16751.7029967479 & 16750.7083333333 & 0.99466341461539 & 0.982035228512496 \tabularnewline
47 & 16393 & 16809.5587018317 & 16808.5833333333 & 0.975368498391713 & 0.999904682671003 \tabularnewline
48 & 19051 & 16877.8753086576 & 16876.75 & 1.12530865762970 & 1.00313018702050 \tabularnewline
49 & 16747 & 16930.3724461545 & 16929.375 & 0.997446154479086 & 0.99176010671743 \tabularnewline
50 & 16320 & 17001.5776121752 & 17000.625 & 0.952612175250179 & 1.00771828465007 \tabularnewline
51 & 17910 & 17092.3260604385 & 17091.2916666667 & 1.03439377187718 & 1.01305914959772 \tabularnewline
52 & 16961 & 17175.6157866219 & 17174.625 & 0.990786621874973 & 0.99674497998709 \tabularnewline
53 & 17480 & 17257.7298924403 & 17256.7083333333 & 1.02155910700688 & 0.991562216520764 \tabularnewline
54 & 17049 & 17346.9815596249 & 17346 & 0.981559624901186 & 1.00134303814751 \tabularnewline
55 & 16879 & 17440.3952357621 & 17439.4166666667 & 0.978569095450089 & 0.989061422914232 \tabularnewline
56 & 17473 & 17524.9952714517 & 17524 & 0.995271451725292 & 1.00182689237015 \tabularnewline
57 & 16998 & 17610.7024614268 & 17609.75 & 0.952461426798343 & 1.01343812451058 \tabularnewline
58 & 17307 & 17693.8696634146 & 17692.875 & 0.99466341461539 & 0.983438577181112 \tabularnewline
59 & 17418 & 17796.4753684984 & 17795.5 & 0.975368498391713 & 1.00350459703245 \tabularnewline
60 & 20169 & 17925.5003086576 & 17924.375 & 1.12530865762970 & 0.999927896016888 \tabularnewline
61 & 17871 & 18035.9557794878 & 18034.9583333333 & 0.997446154479086 & 0.993445967410447 \tabularnewline
62 & 17226 & 18143.2859455086 & 18142.3333333333 & 0.952612175250179 & 0.99672459029201 \tabularnewline
63 & 19062 & 18248.5760604385 & 18247.5416666667 & 1.03439377187718 & 1.00989960942047 \tabularnewline
64 & 17804 & 18360.7407866219 & 18359.75 & 0.990786621874973 & 0.97874755126211 \tabularnewline
65 & 19100 & 18487.271559107 & 18486.25 & 1.02155910700688 & 1.01139556637101 \tabularnewline
66 & 18522 & 18594.1482262916 & 18593.1666666667 & 0.981559624901186 & 1.01488733202451 \tabularnewline
67 & 18060 & 18709.5619024288 & 18708.5833333333 & 0.978569095450089 & 0.98647332754123 \tabularnewline
68 & 18869 & 18830.4119381184 & 18829.4166666667 & 0.995271451725292 & 1.00686320838303 \tabularnewline
69 & 18127 & 18931.0357947601 & 18930.0833333333 & 0.952461426798343 & 1.00537020984653 \tabularnewline
70 & 18871 & 19040.5779967479 & 19039.5833333333 & 0.99466341461539 & 0.996463351323665 \tabularnewline
71 & 18890 & 19146.8920351651 & 19145.9166666667 & 0.975368498391713 & 1.01154933429567 \tabularnewline
72 & 21263 & 19230.9586419910 & 19229.8333333333 & 1.12530865762970 & 0.982601355359033 \tabularnewline
73 & 19547 & 19324.7057794878 & 19323.7083333333 & 0.997446154479086 & 1.01414529213454 \tabularnewline
74 & 18450 & 19428.9942788419 & 19428.0416666667 & 0.952612175250179 & 0.996899128621962 \tabularnewline
75 & 20254 & 19498.8260604385 & 19497.7916666667 & 1.03439377187718 & 1.00424454884781 \tabularnewline
76 & 19240 & 19566.7824532885 & 19565.7916666667 & 0.990786621874973 & 0.99249312915148 \tabularnewline
77 & 20216 & 19638.7298924403 & 19637.7083333333 & 1.02155910700688 & 1.00772242635843 \tabularnewline
78 & 19420 & 19693.9815596249 & 19693 & 0.981559624901186 & 1.00466357936546 \tabularnewline
79 & 19415 & NA & NA & 0.978569095450089 & NA \tabularnewline
80 & 20018 & NA & NA & 0.995271451725292 & NA \tabularnewline
81 & 18652 & NA & NA & 0.952461426798343 & NA \tabularnewline
82 & 19978 & NA & NA & 0.99466341461539 & NA \tabularnewline
83 & 19509 & NA & NA & 0.975368498391713 & NA \tabularnewline
84 & 21971 & NA & NA & 1.12530865762970 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42996&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]13328[/C][C]NA[/C][C]NA[/C][C]0.997446154479086[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]12873[/C][C]NA[/C][C]NA[/C][C]0.952612175250179[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]14000[/C][C]NA[/C][C]NA[/C][C]1.03439377187718[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]13477[/C][C]NA[/C][C]NA[/C][C]0.990786621874973[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]14237[/C][C]NA[/C][C]NA[/C][C]1.02155910700688[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]13674[/C][C]NA[/C][C]NA[/C][C]0.981559624901186[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]13529[/C][C]13938.9369024288[/C][C]13937.9583333333[/C][C]0.978569095450089[/C][C]0.991916327070772[/C][/ROW]
[ROW][C]8[/C][C]14058[/C][C]14034.4952714517[/C][C]14033.5[/C][C]0.995271451725292[/C][C]1.00650513059493[/C][/ROW]
[ROW][C]9[/C][C]12975[/C][C]14125.9107947601[/C][C]14124.9583333333[/C][C]0.952461426798343[/C][C]0.964434626586157[/C][/ROW]
[ROW][C]10[/C][C]14326[/C][C]14228.6196634146[/C][C]14227.625[/C][C]0.99466341461539[/C][C]1.01231667993762[/C][/ROW]
[ROW][C]11[/C][C]14008[/C][C]14336.2670351651[/C][C]14335.2916666667[/C][C]0.975368498391713[/C][C]1.00184578306806[/C][/ROW]
[ROW][C]12[/C][C]16193[/C][C]14417.3753086576[/C][C]14416.25[/C][C]1.12530865762970[/C][C]0.9981673285668[/C][/ROW]
[ROW][C]13[/C][C]14483[/C][C]14506.2891128211[/C][C]14505.2916666667[/C][C]0.997446154479086[/C][C]1.00101965408011[/C][/ROW]
[ROW][C]14[/C][C]14011[/C][C]14605.7026121752[/C][C]14604.75[/C][C]0.952612175250179[/C][C]1.00706818930871[/C][/ROW]
[ROW][C]15[/C][C]15057[/C][C]14709.2427271052[/C][C]14708.2083333333[/C][C]1.03439377187718[/C][C]0.98967541219641[/C][/ROW]
[ROW][C]16[/C][C]14884[/C][C]14811.1991199552[/C][C]14810.2083333333[/C][C]0.990786621874973[/C][C]1.01432787297848[/C][/ROW]
[ROW][C]17[/C][C]15414[/C][C]14890.8548924403[/C][C]14889.8333333333[/C][C]1.02155910700688[/C][C]1.01335594167248[/C][/ROW]
[ROW][C]18[/C][C]14440[/C][C]14971.2315596249[/C][C]14970.25[/C][C]0.981559624901186[/C][C]0.982701127233388[/C][/ROW]
[ROW][C]19[/C][C]14900[/C][C]15056.4369024288[/C][C]15055.4583333333[/C][C]0.978569095450089[/C][C]1.01134839856085[/C][/ROW]
[ROW][C]20[/C][C]15074[/C][C]15131.4119381184[/C][C]15130.4166666667[/C][C]0.995271451725292[/C][C]1.00100460640068[/C][/ROW]
[ROW][C]21[/C][C]14442[/C][C]15195.3274614268[/C][C]15194.375[/C][C]0.952461426798343[/C][C]0.997923163673607[/C][/ROW]
[ROW][C]22[/C][C]15307[/C][C]15262.8696634146[/C][C]15261.875[/C][C]0.99466341461539[/C][C]1.00833779477249[/C][/ROW]
[ROW][C]23[/C][C]14938[/C][C]15328.4753684984[/C][C]15327.5[/C][C]0.975368498391713[/C][C]0.999199953807792[/C][/ROW]
[ROW][C]24[/C][C]17193[/C][C]15402.8753086576[/C][C]15401.75[/C][C]1.12530865762970[/C][C]0.991996028282445[/C][/ROW]
[ROW][C]25[/C][C]15528[/C][C]15491.5807794878[/C][C]15490.5833333333[/C][C]0.997446154479086[/C][C]1.00498201475996[/C][/ROW]
[ROW][C]26[/C][C]14765[/C][C]15574.6609455086[/C][C]15573.7083333333[/C][C]0.952612175250179[/C][C]0.995234188326474[/C][/ROW]
[ROW][C]27[/C][C]15838[/C][C]15664.7010604385[/C][C]15663.6666666667[/C][C]1.03439377187718[/C][C]0.977509550329222[/C][/ROW]
[ROW][C]28[/C][C]15723[/C][C]15766.0324532885[/C][C]15765.0416666667[/C][C]0.990786621874973[/C][C]1.00660749009184[/C][/ROW]
[ROW][C]29[/C][C]16150[/C][C]15846.521559107[/C][C]15845.5[/C][C]1.02155910700688[/C][C]0.997707137407307[/C][/ROW]
[ROW][C]30[/C][C]15486[/C][C]15948.6482262916[/C][C]15947.6666666667[/C][C]0.981559624901186[/C][C]0.989294100759252[/C][/ROW]
[ROW][C]31[/C][C]15986[/C][C]16052.4785690954[/C][C]16051.5[/C][C]0.978569095450089[/C][C]1.01773026464026[/C][/ROW]
[ROW][C]32[/C][C]15983[/C][C]16121.6202714517[/C][C]16120.625[/C][C]0.995271451725292[/C][C]0.996173253302707[/C][/ROW]
[ROW][C]33[/C][C]15692[/C][C]16213.0774614268[/C][C]16212.125[/C][C]0.952461426798343[/C][C]1.01622753806839[/C][/ROW]
[ROW][C]34[/C][C]16490[/C][C]16302.1196634146[/C][C]16301.125[/C][C]0.99466341461539[/C][C]1.01701400570137[/C][/ROW]
[ROW][C]35[/C][C]15686[/C][C]16351.2253684984[/C][C]16350.25[/C][C]0.975368498391713[/C][C]0.983601286553775[/C][/ROW]
[ROW][C]36[/C][C]18897[/C][C]16403.7503086576[/C][C]16402.625[/C][C]1.12530865762970[/C][C]1.02378284218309[/C][/ROW]
[ROW][C]37[/C][C]16316[/C][C]16453.3307794878[/C][C]16452.3333333333[/C][C]0.997446154479086[/C][C]0.994252602326266[/C][/ROW]
[ROW][C]38[/C][C]15636[/C][C]16481.3276121752[/C][C]16480.375[/C][C]0.952612175250179[/C][C]0.995961256229526[/C][/ROW]
[ROW][C]39[/C][C]17163[/C][C]16507.2427271052[/C][C]16506.2083333333[/C][C]1.03439377187718[/C][C]1.00521736703713[/C][/ROW]
[ROW][C]40[/C][C]16534[/C][C]16512.3241199552[/C][C]16511.3333333333[/C][C]0.990786621874973[/C][C]1.01068461395776[/C][/ROW]
[ROW][C]41[/C][C]16518[/C][C]16536.4798924403[/C][C]16535.4583333333[/C][C]1.02155910700688[/C][C]0.977862349098764[/C][/ROW]
[ROW][C]42[/C][C]16375[/C][C]16572.3148929582[/C][C]16571.3333333333[/C][C]0.981559624901186[/C][C]1.00671645989863[/C][/ROW]
[ROW][C]43[/C][C]16290[/C][C]16596.6869024288[/C][C]16595.7083333333[/C][C]0.978569095450089[/C][C]1.00307589670141[/C][/ROW]
[ROW][C]44[/C][C]16352[/C][C]16643.1619381184[/C][C]16642.1666666667[/C][C]0.995271451725292[/C][C]0.987232546377255[/C][/ROW]
[ROW][C]45[/C][C]15943[/C][C]16702.7441280935[/C][C]16701.7916666667[/C][C]0.952461426798343[/C][C]1.00221197474349[/C][/ROW]
[ROW][C]46[/C][C]16362[/C][C]16751.7029967479[/C][C]16750.7083333333[/C][C]0.99466341461539[/C][C]0.982035228512496[/C][/ROW]
[ROW][C]47[/C][C]16393[/C][C]16809.5587018317[/C][C]16808.5833333333[/C][C]0.975368498391713[/C][C]0.999904682671003[/C][/ROW]
[ROW][C]48[/C][C]19051[/C][C]16877.8753086576[/C][C]16876.75[/C][C]1.12530865762970[/C][C]1.00313018702050[/C][/ROW]
[ROW][C]49[/C][C]16747[/C][C]16930.3724461545[/C][C]16929.375[/C][C]0.997446154479086[/C][C]0.99176010671743[/C][/ROW]
[ROW][C]50[/C][C]16320[/C][C]17001.5776121752[/C][C]17000.625[/C][C]0.952612175250179[/C][C]1.00771828465007[/C][/ROW]
[ROW][C]51[/C][C]17910[/C][C]17092.3260604385[/C][C]17091.2916666667[/C][C]1.03439377187718[/C][C]1.01305914959772[/C][/ROW]
[ROW][C]52[/C][C]16961[/C][C]17175.6157866219[/C][C]17174.625[/C][C]0.990786621874973[/C][C]0.99674497998709[/C][/ROW]
[ROW][C]53[/C][C]17480[/C][C]17257.7298924403[/C][C]17256.7083333333[/C][C]1.02155910700688[/C][C]0.991562216520764[/C][/ROW]
[ROW][C]54[/C][C]17049[/C][C]17346.9815596249[/C][C]17346[/C][C]0.981559624901186[/C][C]1.00134303814751[/C][/ROW]
[ROW][C]55[/C][C]16879[/C][C]17440.3952357621[/C][C]17439.4166666667[/C][C]0.978569095450089[/C][C]0.989061422914232[/C][/ROW]
[ROW][C]56[/C][C]17473[/C][C]17524.9952714517[/C][C]17524[/C][C]0.995271451725292[/C][C]1.00182689237015[/C][/ROW]
[ROW][C]57[/C][C]16998[/C][C]17610.7024614268[/C][C]17609.75[/C][C]0.952461426798343[/C][C]1.01343812451058[/C][/ROW]
[ROW][C]58[/C][C]17307[/C][C]17693.8696634146[/C][C]17692.875[/C][C]0.99466341461539[/C][C]0.983438577181112[/C][/ROW]
[ROW][C]59[/C][C]17418[/C][C]17796.4753684984[/C][C]17795.5[/C][C]0.975368498391713[/C][C]1.00350459703245[/C][/ROW]
[ROW][C]60[/C][C]20169[/C][C]17925.5003086576[/C][C]17924.375[/C][C]1.12530865762970[/C][C]0.999927896016888[/C][/ROW]
[ROW][C]61[/C][C]17871[/C][C]18035.9557794878[/C][C]18034.9583333333[/C][C]0.997446154479086[/C][C]0.993445967410447[/C][/ROW]
[ROW][C]62[/C][C]17226[/C][C]18143.2859455086[/C][C]18142.3333333333[/C][C]0.952612175250179[/C][C]0.99672459029201[/C][/ROW]
[ROW][C]63[/C][C]19062[/C][C]18248.5760604385[/C][C]18247.5416666667[/C][C]1.03439377187718[/C][C]1.00989960942047[/C][/ROW]
[ROW][C]64[/C][C]17804[/C][C]18360.7407866219[/C][C]18359.75[/C][C]0.990786621874973[/C][C]0.97874755126211[/C][/ROW]
[ROW][C]65[/C][C]19100[/C][C]18487.271559107[/C][C]18486.25[/C][C]1.02155910700688[/C][C]1.01139556637101[/C][/ROW]
[ROW][C]66[/C][C]18522[/C][C]18594.1482262916[/C][C]18593.1666666667[/C][C]0.981559624901186[/C][C]1.01488733202451[/C][/ROW]
[ROW][C]67[/C][C]18060[/C][C]18709.5619024288[/C][C]18708.5833333333[/C][C]0.978569095450089[/C][C]0.98647332754123[/C][/ROW]
[ROW][C]68[/C][C]18869[/C][C]18830.4119381184[/C][C]18829.4166666667[/C][C]0.995271451725292[/C][C]1.00686320838303[/C][/ROW]
[ROW][C]69[/C][C]18127[/C][C]18931.0357947601[/C][C]18930.0833333333[/C][C]0.952461426798343[/C][C]1.00537020984653[/C][/ROW]
[ROW][C]70[/C][C]18871[/C][C]19040.5779967479[/C][C]19039.5833333333[/C][C]0.99466341461539[/C][C]0.996463351323665[/C][/ROW]
[ROW][C]71[/C][C]18890[/C][C]19146.8920351651[/C][C]19145.9166666667[/C][C]0.975368498391713[/C][C]1.01154933429567[/C][/ROW]
[ROW][C]72[/C][C]21263[/C][C]19230.9586419910[/C][C]19229.8333333333[/C][C]1.12530865762970[/C][C]0.982601355359033[/C][/ROW]
[ROW][C]73[/C][C]19547[/C][C]19324.7057794878[/C][C]19323.7083333333[/C][C]0.997446154479086[/C][C]1.01414529213454[/C][/ROW]
[ROW][C]74[/C][C]18450[/C][C]19428.9942788419[/C][C]19428.0416666667[/C][C]0.952612175250179[/C][C]0.996899128621962[/C][/ROW]
[ROW][C]75[/C][C]20254[/C][C]19498.8260604385[/C][C]19497.7916666667[/C][C]1.03439377187718[/C][C]1.00424454884781[/C][/ROW]
[ROW][C]76[/C][C]19240[/C][C]19566.7824532885[/C][C]19565.7916666667[/C][C]0.990786621874973[/C][C]0.99249312915148[/C][/ROW]
[ROW][C]77[/C][C]20216[/C][C]19638.7298924403[/C][C]19637.7083333333[/C][C]1.02155910700688[/C][C]1.00772242635843[/C][/ROW]
[ROW][C]78[/C][C]19420[/C][C]19693.9815596249[/C][C]19693[/C][C]0.981559624901186[/C][C]1.00466357936546[/C][/ROW]
[ROW][C]79[/C][C]19415[/C][C]NA[/C][C]NA[/C][C]0.978569095450089[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]20018[/C][C]NA[/C][C]NA[/C][C]0.995271451725292[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]18652[/C][C]NA[/C][C]NA[/C][C]0.952461426798343[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]19978[/C][C]NA[/C][C]NA[/C][C]0.99466341461539[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]19509[/C][C]NA[/C][C]NA[/C][C]0.975368498391713[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]21971[/C][C]NA[/C][C]NA[/C][C]1.12530865762970[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42996&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42996&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	13328	NA	NA	0.997446154479086	NA
2	12873	NA	NA	0.952612175250179	NA
3	14000	NA	NA	1.03439377187718	NA
4	13477	NA	NA	0.990786621874973	NA
5	14237	NA	NA	1.02155910700688	NA
6	13674	NA	NA	0.981559624901186	NA
7	13529	13938.9369024288	13937.9583333333	0.978569095450089	0.991916327070772
8	14058	14034.4952714517	14033.5	0.995271451725292	1.00650513059493
9	12975	14125.9107947601	14124.9583333333	0.952461426798343	0.964434626586157
10	14326	14228.6196634146	14227.625	0.99466341461539	1.01231667993762
11	14008	14336.2670351651	14335.2916666667	0.975368498391713	1.00184578306806
12	16193	14417.3753086576	14416.25	1.12530865762970	0.9981673285668
13	14483	14506.2891128211	14505.2916666667	0.997446154479086	1.00101965408011
14	14011	14605.7026121752	14604.75	0.952612175250179	1.00706818930871
15	15057	14709.2427271052	14708.2083333333	1.03439377187718	0.98967541219641
16	14884	14811.1991199552	14810.2083333333	0.990786621874973	1.01432787297848
17	15414	14890.8548924403	14889.8333333333	1.02155910700688	1.01335594167248
18	14440	14971.2315596249	14970.25	0.981559624901186	0.982701127233388
19	14900	15056.4369024288	15055.4583333333	0.978569095450089	1.01134839856085
20	15074	15131.4119381184	15130.4166666667	0.995271451725292	1.00100460640068
21	14442	15195.3274614268	15194.375	0.952461426798343	0.997923163673607
22	15307	15262.8696634146	15261.875	0.99466341461539	1.00833779477249
23	14938	15328.4753684984	15327.5	0.975368498391713	0.999199953807792
24	17193	15402.8753086576	15401.75	1.12530865762970	0.991996028282445
25	15528	15491.5807794878	15490.5833333333	0.997446154479086	1.00498201475996
26	14765	15574.6609455086	15573.7083333333	0.952612175250179	0.995234188326474
27	15838	15664.7010604385	15663.6666666667	1.03439377187718	0.977509550329222
28	15723	15766.0324532885	15765.0416666667	0.990786621874973	1.00660749009184
29	16150	15846.521559107	15845.5	1.02155910700688	0.997707137407307
30	15486	15948.6482262916	15947.6666666667	0.981559624901186	0.989294100759252
31	15986	16052.4785690954	16051.5	0.978569095450089	1.01773026464026
32	15983	16121.6202714517	16120.625	0.995271451725292	0.996173253302707
33	15692	16213.0774614268	16212.125	0.952461426798343	1.01622753806839
34	16490	16302.1196634146	16301.125	0.99466341461539	1.01701400570137
35	15686	16351.2253684984	16350.25	0.975368498391713	0.983601286553775
36	18897	16403.7503086576	16402.625	1.12530865762970	1.02378284218309
37	16316	16453.3307794878	16452.3333333333	0.997446154479086	0.994252602326266
38	15636	16481.3276121752	16480.375	0.952612175250179	0.995961256229526
39	17163	16507.2427271052	16506.2083333333	1.03439377187718	1.00521736703713
40	16534	16512.3241199552	16511.3333333333	0.990786621874973	1.01068461395776
41	16518	16536.4798924403	16535.4583333333	1.02155910700688	0.977862349098764
42	16375	16572.3148929582	16571.3333333333	0.981559624901186	1.00671645989863
43	16290	16596.6869024288	16595.7083333333	0.978569095450089	1.00307589670141
44	16352	16643.1619381184	16642.1666666667	0.995271451725292	0.987232546377255
45	15943	16702.7441280935	16701.7916666667	0.952461426798343	1.00221197474349
46	16362	16751.7029967479	16750.7083333333	0.99466341461539	0.982035228512496
47	16393	16809.5587018317	16808.5833333333	0.975368498391713	0.999904682671003
48	19051	16877.8753086576	16876.75	1.12530865762970	1.00313018702050
49	16747	16930.3724461545	16929.375	0.997446154479086	0.99176010671743
50	16320	17001.5776121752	17000.625	0.952612175250179	1.00771828465007
51	17910	17092.3260604385	17091.2916666667	1.03439377187718	1.01305914959772
52	16961	17175.6157866219	17174.625	0.990786621874973	0.99674497998709
53	17480	17257.7298924403	17256.7083333333	1.02155910700688	0.991562216520764
54	17049	17346.9815596249	17346	0.981559624901186	1.00134303814751
55	16879	17440.3952357621	17439.4166666667	0.978569095450089	0.989061422914232
56	17473	17524.9952714517	17524	0.995271451725292	1.00182689237015
57	16998	17610.7024614268	17609.75	0.952461426798343	1.01343812451058
58	17307	17693.8696634146	17692.875	0.99466341461539	0.983438577181112
59	17418	17796.4753684984	17795.5	0.975368498391713	1.00350459703245
60	20169	17925.5003086576	17924.375	1.12530865762970	0.999927896016888
61	17871	18035.9557794878	18034.9583333333	0.997446154479086	0.993445967410447
62	17226	18143.2859455086	18142.3333333333	0.952612175250179	0.99672459029201
63	19062	18248.5760604385	18247.5416666667	1.03439377187718	1.00989960942047
64	17804	18360.7407866219	18359.75	0.990786621874973	0.97874755126211
65	19100	18487.271559107	18486.25	1.02155910700688	1.01139556637101
66	18522	18594.1482262916	18593.1666666667	0.981559624901186	1.01488733202451
67	18060	18709.5619024288	18708.5833333333	0.978569095450089	0.98647332754123
68	18869	18830.4119381184	18829.4166666667	0.995271451725292	1.00686320838303
69	18127	18931.0357947601	18930.0833333333	0.952461426798343	1.00537020984653
70	18871	19040.5779967479	19039.5833333333	0.99466341461539	0.996463351323665
71	18890	19146.8920351651	19145.9166666667	0.975368498391713	1.01154933429567
72	21263	19230.9586419910	19229.8333333333	1.12530865762970	0.982601355359033
73	19547	19324.7057794878	19323.7083333333	0.997446154479086	1.01414529213454
74	18450	19428.9942788419	19428.0416666667	0.952612175250179	0.996899128621962
75	20254	19498.8260604385	19497.7916666667	1.03439377187718	1.00424454884781
76	19240	19566.7824532885	19565.7916666667	0.990786621874973	0.99249312915148
77	20216	19638.7298924403	19637.7083333333	1.02155910700688	1.00772242635843
78	19420	19693.9815596249	19693	0.981559624901186	1.00466357936546
79	19415	NA	NA	0.978569095450089	NA
80	20018	NA	NA	0.995271451725292	NA
81	18652	NA	NA	0.952461426798343	NA
82	19978	NA	NA	0.99466341461539	NA
83	19509	NA	NA	0.975368498391713	NA
84	21971	NA	NA	1.12530865762970	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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