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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Fri, 16 Dec 2011 09:22:56 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/16/t1324045427n1swzryt9kxuagp.htm/, Retrieved Mon, 29 Apr 2024 00:49:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155968, Retrieved Mon, 29 Apr 2024 00:49:27 +0000

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Estimated Impact

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]
- RMPD  [Univariate Data Series] [] [2011-11-24 13:29:35] [22f8bc702946f784836540059d0d9516]
- RMP     [Classical Decomposition] [] [2011-11-24 14:18:49] [22f8bc702946f784836540059d0d9516]
- R  D        [Classical Decomposition] [] [2011-12-16 14:22:56] [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	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155968&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155968&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	117541.78	NA	NA	35.4880416666776	NA
2	116587	NA	NA	-1161.51129166666	NA
3	116809	NA	NA	-1142.23629166667	NA
4	122819.55	NA	NA	5162.690375	NA
5	116955	NA	NA	-1057.75645833333	NA
6	117186	NA	NA	-1109.01279166668	NA
7	117265	117300.772291667	118459.425833333	-1158.65354166667	-35.7722916666535
8	117536	117419.817875	118620.388333333	-1200.57045833334	116.182125000007
9	117781	117629.042875	118791.68	-1162.637125	151.957125000015
10	117928	117822.420375	118968.96125	-1146.54087500001	105.579625000013
11	120437.52	120506.735541667	119160.325833333	1346.40970833334	-69.2155416666501
12	121753.21	121957.781541667	119363.450833333	2594.33070833333	-204.57154166665
13	119369.88	119610.397208333	119574.909166667	35.4880416666776	-240.517208333331
14	118622	118628.106208333	119789.6175	-1161.51129166666	-6.10620833333815
15	118885	118857.922875	120000.159166667	-1142.23629166667	27.0771249999816
16	124998.3	125376.349541667	120213.659166667	5162.690375	-378.049541666682
17	119369	119381.867708333	120439.624166667	-1057.75645833333	-12.8677083333314
18	119647	119567.735541667	120676.748333333	-1109.01279166668	79.2644583333458
19	119879	119766.063541667	120924.717083333	-1158.65354166667	112.936458333352
20	120075	119973.456208333	121174.026666667	-1200.57045833334	101.543791666685
21	120295	120255.931208333	121418.568333333	-1162.637125	39.0687916666793
22	120538	120530.462875	121677.00375	-1146.54087500001	7.53712500001711
23	123250.68	123284.473875	121938.064166667	1346.40970833334	-33.7938749999885
24	124631.03	124783.186541667	122188.855833333	2594.33070833333	-152.156541666656
25	122443.31	122476.218875	122440.730833333	35.4880416666776	-32.9088749999792
26	121532	121524.302875	122685.814166667	-1161.51129166666	7.69712500002061
27	121844	121791.744541667	122933.980833333	-1142.23629166667	52.2554583333404
28	128241.75	128360.837875	123198.1475	5162.690375	-119.087875000012
29	122391	122411.536875	123469.293333333	-1057.75645833333	-20.5368749999907
30	122644	122641.414291667	123750.427083333	-1109.01279166668	2.58570833335398
31	122927	122878.801875	124037.455416667	-1158.65354166667	48.1981250000099
32	122909	123116.717041667	124317.2875	-1200.57045833334	-207.717041666663
33	123417	123421.400375	124584.0375	-1162.637125	-4.40037499998289
34	123756	123703.127875	124849.66875	-1146.54087500001	52.872125000009
35	126540.18	126467.168041667	125120.758333333	1346.40970833334	73.0119583333289
36	128088.74	127984.047375	125389.716666667	2594.33070833333	104.692624999996
37	125874.28	125685.621375	125650.133333333	35.4880416666776	188.658625000011
38	124817	124757.622041667	125919.133333333	-1161.51129166666	59.377958333338
39	124961	125049.230375	126191.466666667	-1142.23629166667	-88.2303749999992
40	131499.9	131608.323708333	126445.633333333	5162.690375	-108.423708333343
41	125639	125637.633541667	126695.39	-1057.75645833333	1.36645833333023
42	125851	125840.885125	126949.897916667	-1109.01279166668	10.1148749999993
43	125970	126040.058958333	127198.7125	-1158.65354166667	-70.0589583333349
44	126322	126246.205375	127446.775833333	-1200.57045833334	75.7946250000095
45	126540	126538.638708333	127701.275833333	-1162.637125	1.36129166668979
46	126733	126818.305791667	127964.846666667	-1146.54087500001	-85.3057916666585
47	129557.34	129571.118875	128224.709166667	1346.40970833334	-13.7788749999745
48	131179.77	131066.789875	128472.459166667	2594.33070833333	112.980125000002
49	128754.8	128765.113875	128729.625833333	35.4880416666776	-10.313874999978
50	127890	127825.781208333	128987.2925	-1161.51129166666	64.2187916666735
51	127996	128095.389541667	129237.625833333	-1142.23629166667	-99.3895416666492
52	134790.6	134658.941208333	129496.250833333	5162.690375	131.65879166669
53	128585	128709.178541667	129766.935	-1057.75645833333	-124.178541666668
54	128851	128930.989291667	130040.002083333	-1109.01279166668	-79.9892916666577
55	129142	129156.440208333	130315.09375	-1158.65354166667	-14.4402083333262
56	129334	129378.940375	130579.510833333	-1200.57045833334	-44.9403749999765
57	129536	129683.123708333	130845.760833333	-1162.637125	-147.123708333325
58	129944	129983.819958333	131130.360833333	-1146.54087500001	-39.8199583333335
59	132842.76	132758.120541667	131411.710833333	1346.40970833334	84.6394583333458
60	134447.96	134268.041541667	131673.710833333	2594.33070833333	179.918458333355
61	132088.81	131952.865541667	131917.3775	35.4880416666776	135.944458333339
62	130902	130986.324541667	132147.835833333	-1161.51129166666	-84.3245416666614
63	131374	131224.849541667	132367.085833333	-1142.23629166667	149.150458333344
64	138243	137728.234541667	132565.544166667	5162.690375	514.765458333364
65	131885	131687.920208333	132745.676666667	-1057.75645833333	197.079791666707
66	131839	131810.112625	132919.125416667	-1109.01279166668	28.8873750000203
67	132002	NA	NA	-1158.65354166667	NA
68	132005	NA	NA	-1200.57045833334	NA
69	132127	NA	NA	-1162.637125	NA
70	132116	NA	NA	-1146.54087500001	NA
71	134993.94	NA	NA	1346.40970833334	NA
72	136459.55	NA	NA	2594.33070833333	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 117541.78 & NA & NA & 35.4880416666776 & NA \tabularnewline
2 & 116587 & NA & NA & -1161.51129166666 & NA \tabularnewline
3 & 116809 & NA & NA & -1142.23629166667 & NA \tabularnewline
4 & 122819.55 & NA & NA & 5162.690375 & NA \tabularnewline
5 & 116955 & NA & NA & -1057.75645833333 & NA \tabularnewline
6 & 117186 & NA & NA & -1109.01279166668 & NA \tabularnewline
7 & 117265 & 117300.772291667 & 118459.425833333 & -1158.65354166667 & -35.7722916666535 \tabularnewline
8 & 117536 & 117419.817875 & 118620.388333333 & -1200.57045833334 & 116.182125000007 \tabularnewline
9 & 117781 & 117629.042875 & 118791.68 & -1162.637125 & 151.957125000015 \tabularnewline
10 & 117928 & 117822.420375 & 118968.96125 & -1146.54087500001 & 105.579625000013 \tabularnewline
11 & 120437.52 & 120506.735541667 & 119160.325833333 & 1346.40970833334 & -69.2155416666501 \tabularnewline
12 & 121753.21 & 121957.781541667 & 119363.450833333 & 2594.33070833333 & -204.57154166665 \tabularnewline
13 & 119369.88 & 119610.397208333 & 119574.909166667 & 35.4880416666776 & -240.517208333331 \tabularnewline
14 & 118622 & 118628.106208333 & 119789.6175 & -1161.51129166666 & -6.10620833333815 \tabularnewline
15 & 118885 & 118857.922875 & 120000.159166667 & -1142.23629166667 & 27.0771249999816 \tabularnewline
16 & 124998.3 & 125376.349541667 & 120213.659166667 & 5162.690375 & -378.049541666682 \tabularnewline
17 & 119369 & 119381.867708333 & 120439.624166667 & -1057.75645833333 & -12.8677083333314 \tabularnewline
18 & 119647 & 119567.735541667 & 120676.748333333 & -1109.01279166668 & 79.2644583333458 \tabularnewline
19 & 119879 & 119766.063541667 & 120924.717083333 & -1158.65354166667 & 112.936458333352 \tabularnewline
20 & 120075 & 119973.456208333 & 121174.026666667 & -1200.57045833334 & 101.543791666685 \tabularnewline
21 & 120295 & 120255.931208333 & 121418.568333333 & -1162.637125 & 39.0687916666793 \tabularnewline
22 & 120538 & 120530.462875 & 121677.00375 & -1146.54087500001 & 7.53712500001711 \tabularnewline
23 & 123250.68 & 123284.473875 & 121938.064166667 & 1346.40970833334 & -33.7938749999885 \tabularnewline
24 & 124631.03 & 124783.186541667 & 122188.855833333 & 2594.33070833333 & -152.156541666656 \tabularnewline
25 & 122443.31 & 122476.218875 & 122440.730833333 & 35.4880416666776 & -32.9088749999792 \tabularnewline
26 & 121532 & 121524.302875 & 122685.814166667 & -1161.51129166666 & 7.69712500002061 \tabularnewline
27 & 121844 & 121791.744541667 & 122933.980833333 & -1142.23629166667 & 52.2554583333404 \tabularnewline
28 & 128241.75 & 128360.837875 & 123198.1475 & 5162.690375 & -119.087875000012 \tabularnewline
29 & 122391 & 122411.536875 & 123469.293333333 & -1057.75645833333 & -20.5368749999907 \tabularnewline
30 & 122644 & 122641.414291667 & 123750.427083333 & -1109.01279166668 & 2.58570833335398 \tabularnewline
31 & 122927 & 122878.801875 & 124037.455416667 & -1158.65354166667 & 48.1981250000099 \tabularnewline
32 & 122909 & 123116.717041667 & 124317.2875 & -1200.57045833334 & -207.717041666663 \tabularnewline
33 & 123417 & 123421.400375 & 124584.0375 & -1162.637125 & -4.40037499998289 \tabularnewline
34 & 123756 & 123703.127875 & 124849.66875 & -1146.54087500001 & 52.872125000009 \tabularnewline
35 & 126540.18 & 126467.168041667 & 125120.758333333 & 1346.40970833334 & 73.0119583333289 \tabularnewline
36 & 128088.74 & 127984.047375 & 125389.716666667 & 2594.33070833333 & 104.692624999996 \tabularnewline
37 & 125874.28 & 125685.621375 & 125650.133333333 & 35.4880416666776 & 188.658625000011 \tabularnewline
38 & 124817 & 124757.622041667 & 125919.133333333 & -1161.51129166666 & 59.377958333338 \tabularnewline
39 & 124961 & 125049.230375 & 126191.466666667 & -1142.23629166667 & -88.2303749999992 \tabularnewline
40 & 131499.9 & 131608.323708333 & 126445.633333333 & 5162.690375 & -108.423708333343 \tabularnewline
41 & 125639 & 125637.633541667 & 126695.39 & -1057.75645833333 & 1.36645833333023 \tabularnewline
42 & 125851 & 125840.885125 & 126949.897916667 & -1109.01279166668 & 10.1148749999993 \tabularnewline
43 & 125970 & 126040.058958333 & 127198.7125 & -1158.65354166667 & -70.0589583333349 \tabularnewline
44 & 126322 & 126246.205375 & 127446.775833333 & -1200.57045833334 & 75.7946250000095 \tabularnewline
45 & 126540 & 126538.638708333 & 127701.275833333 & -1162.637125 & 1.36129166668979 \tabularnewline
46 & 126733 & 126818.305791667 & 127964.846666667 & -1146.54087500001 & -85.3057916666585 \tabularnewline
47 & 129557.34 & 129571.118875 & 128224.709166667 & 1346.40970833334 & -13.7788749999745 \tabularnewline
48 & 131179.77 & 131066.789875 & 128472.459166667 & 2594.33070833333 & 112.980125000002 \tabularnewline
49 & 128754.8 & 128765.113875 & 128729.625833333 & 35.4880416666776 & -10.313874999978 \tabularnewline
50 & 127890 & 127825.781208333 & 128987.2925 & -1161.51129166666 & 64.2187916666735 \tabularnewline
51 & 127996 & 128095.389541667 & 129237.625833333 & -1142.23629166667 & -99.3895416666492 \tabularnewline
52 & 134790.6 & 134658.941208333 & 129496.250833333 & 5162.690375 & 131.65879166669 \tabularnewline
53 & 128585 & 128709.178541667 & 129766.935 & -1057.75645833333 & -124.178541666668 \tabularnewline
54 & 128851 & 128930.989291667 & 130040.002083333 & -1109.01279166668 & -79.9892916666577 \tabularnewline
55 & 129142 & 129156.440208333 & 130315.09375 & -1158.65354166667 & -14.4402083333262 \tabularnewline
56 & 129334 & 129378.940375 & 130579.510833333 & -1200.57045833334 & -44.9403749999765 \tabularnewline
57 & 129536 & 129683.123708333 & 130845.760833333 & -1162.637125 & -147.123708333325 \tabularnewline
58 & 129944 & 129983.819958333 & 131130.360833333 & -1146.54087500001 & -39.8199583333335 \tabularnewline
59 & 132842.76 & 132758.120541667 & 131411.710833333 & 1346.40970833334 & 84.6394583333458 \tabularnewline
60 & 134447.96 & 134268.041541667 & 131673.710833333 & 2594.33070833333 & 179.918458333355 \tabularnewline
61 & 132088.81 & 131952.865541667 & 131917.3775 & 35.4880416666776 & 135.944458333339 \tabularnewline
62 & 130902 & 130986.324541667 & 132147.835833333 & -1161.51129166666 & -84.3245416666614 \tabularnewline
63 & 131374 & 131224.849541667 & 132367.085833333 & -1142.23629166667 & 149.150458333344 \tabularnewline
64 & 138243 & 137728.234541667 & 132565.544166667 & 5162.690375 & 514.765458333364 \tabularnewline
65 & 131885 & 131687.920208333 & 132745.676666667 & -1057.75645833333 & 197.079791666707 \tabularnewline
66 & 131839 & 131810.112625 & 132919.125416667 & -1109.01279166668 & 28.8873750000203 \tabularnewline
67 & 132002 & NA & NA & -1158.65354166667 & NA \tabularnewline
68 & 132005 & NA & NA & -1200.57045833334 & NA \tabularnewline
69 & 132127 & NA & NA & -1162.637125 & NA \tabularnewline
70 & 132116 & NA & NA & -1146.54087500001 & NA \tabularnewline
71 & 134993.94 & NA & NA & 1346.40970833334 & NA \tabularnewline
72 & 136459.55 & NA & NA & 2594.33070833333 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155968&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]117541.78[/C][C]NA[/C][C]NA[/C][C]35.4880416666776[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]116587[/C][C]NA[/C][C]NA[/C][C]-1161.51129166666[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]116809[/C][C]NA[/C][C]NA[/C][C]-1142.23629166667[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]122819.55[/C][C]NA[/C][C]NA[/C][C]5162.690375[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]116955[/C][C]NA[/C][C]NA[/C][C]-1057.75645833333[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]117186[/C][C]NA[/C][C]NA[/C][C]-1109.01279166668[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]117265[/C][C]117300.772291667[/C][C]118459.425833333[/C][C]-1158.65354166667[/C][C]-35.7722916666535[/C][/ROW]
[ROW][C]8[/C][C]117536[/C][C]117419.817875[/C][C]118620.388333333[/C][C]-1200.57045833334[/C][C]116.182125000007[/C][/ROW]
[ROW][C]9[/C][C]117781[/C][C]117629.042875[/C][C]118791.68[/C][C]-1162.637125[/C][C]151.957125000015[/C][/ROW]
[ROW][C]10[/C][C]117928[/C][C]117822.420375[/C][C]118968.96125[/C][C]-1146.54087500001[/C][C]105.579625000013[/C][/ROW]
[ROW][C]11[/C][C]120437.52[/C][C]120506.735541667[/C][C]119160.325833333[/C][C]1346.40970833334[/C][C]-69.2155416666501[/C][/ROW]
[ROW][C]12[/C][C]121753.21[/C][C]121957.781541667[/C][C]119363.450833333[/C][C]2594.33070833333[/C][C]-204.57154166665[/C][/ROW]
[ROW][C]13[/C][C]119369.88[/C][C]119610.397208333[/C][C]119574.909166667[/C][C]35.4880416666776[/C][C]-240.517208333331[/C][/ROW]
[ROW][C]14[/C][C]118622[/C][C]118628.106208333[/C][C]119789.6175[/C][C]-1161.51129166666[/C][C]-6.10620833333815[/C][/ROW]
[ROW][C]15[/C][C]118885[/C][C]118857.922875[/C][C]120000.159166667[/C][C]-1142.23629166667[/C][C]27.0771249999816[/C][/ROW]
[ROW][C]16[/C][C]124998.3[/C][C]125376.349541667[/C][C]120213.659166667[/C][C]5162.690375[/C][C]-378.049541666682[/C][/ROW]
[ROW][C]17[/C][C]119369[/C][C]119381.867708333[/C][C]120439.624166667[/C][C]-1057.75645833333[/C][C]-12.8677083333314[/C][/ROW]
[ROW][C]18[/C][C]119647[/C][C]119567.735541667[/C][C]120676.748333333[/C][C]-1109.01279166668[/C][C]79.2644583333458[/C][/ROW]
[ROW][C]19[/C][C]119879[/C][C]119766.063541667[/C][C]120924.717083333[/C][C]-1158.65354166667[/C][C]112.936458333352[/C][/ROW]
[ROW][C]20[/C][C]120075[/C][C]119973.456208333[/C][C]121174.026666667[/C][C]-1200.57045833334[/C][C]101.543791666685[/C][/ROW]
[ROW][C]21[/C][C]120295[/C][C]120255.931208333[/C][C]121418.568333333[/C][C]-1162.637125[/C][C]39.0687916666793[/C][/ROW]
[ROW][C]22[/C][C]120538[/C][C]120530.462875[/C][C]121677.00375[/C][C]-1146.54087500001[/C][C]7.53712500001711[/C][/ROW]
[ROW][C]23[/C][C]123250.68[/C][C]123284.473875[/C][C]121938.064166667[/C][C]1346.40970833334[/C][C]-33.7938749999885[/C][/ROW]
[ROW][C]24[/C][C]124631.03[/C][C]124783.186541667[/C][C]122188.855833333[/C][C]2594.33070833333[/C][C]-152.156541666656[/C][/ROW]
[ROW][C]25[/C][C]122443.31[/C][C]122476.218875[/C][C]122440.730833333[/C][C]35.4880416666776[/C][C]-32.9088749999792[/C][/ROW]
[ROW][C]26[/C][C]121532[/C][C]121524.302875[/C][C]122685.814166667[/C][C]-1161.51129166666[/C][C]7.69712500002061[/C][/ROW]
[ROW][C]27[/C][C]121844[/C][C]121791.744541667[/C][C]122933.980833333[/C][C]-1142.23629166667[/C][C]52.2554583333404[/C][/ROW]
[ROW][C]28[/C][C]128241.75[/C][C]128360.837875[/C][C]123198.1475[/C][C]5162.690375[/C][C]-119.087875000012[/C][/ROW]
[ROW][C]29[/C][C]122391[/C][C]122411.536875[/C][C]123469.293333333[/C][C]-1057.75645833333[/C][C]-20.5368749999907[/C][/ROW]
[ROW][C]30[/C][C]122644[/C][C]122641.414291667[/C][C]123750.427083333[/C][C]-1109.01279166668[/C][C]2.58570833335398[/C][/ROW]
[ROW][C]31[/C][C]122927[/C][C]122878.801875[/C][C]124037.455416667[/C][C]-1158.65354166667[/C][C]48.1981250000099[/C][/ROW]
[ROW][C]32[/C][C]122909[/C][C]123116.717041667[/C][C]124317.2875[/C][C]-1200.57045833334[/C][C]-207.717041666663[/C][/ROW]
[ROW][C]33[/C][C]123417[/C][C]123421.400375[/C][C]124584.0375[/C][C]-1162.637125[/C][C]-4.40037499998289[/C][/ROW]
[ROW][C]34[/C][C]123756[/C][C]123703.127875[/C][C]124849.66875[/C][C]-1146.54087500001[/C][C]52.872125000009[/C][/ROW]
[ROW][C]35[/C][C]126540.18[/C][C]126467.168041667[/C][C]125120.758333333[/C][C]1346.40970833334[/C][C]73.0119583333289[/C][/ROW]
[ROW][C]36[/C][C]128088.74[/C][C]127984.047375[/C][C]125389.716666667[/C][C]2594.33070833333[/C][C]104.692624999996[/C][/ROW]
[ROW][C]37[/C][C]125874.28[/C][C]125685.621375[/C][C]125650.133333333[/C][C]35.4880416666776[/C][C]188.658625000011[/C][/ROW]
[ROW][C]38[/C][C]124817[/C][C]124757.622041667[/C][C]125919.133333333[/C][C]-1161.51129166666[/C][C]59.377958333338[/C][/ROW]
[ROW][C]39[/C][C]124961[/C][C]125049.230375[/C][C]126191.466666667[/C][C]-1142.23629166667[/C][C]-88.2303749999992[/C][/ROW]
[ROW][C]40[/C][C]131499.9[/C][C]131608.323708333[/C][C]126445.633333333[/C][C]5162.690375[/C][C]-108.423708333343[/C][/ROW]
[ROW][C]41[/C][C]125639[/C][C]125637.633541667[/C][C]126695.39[/C][C]-1057.75645833333[/C][C]1.36645833333023[/C][/ROW]
[ROW][C]42[/C][C]125851[/C][C]125840.885125[/C][C]126949.897916667[/C][C]-1109.01279166668[/C][C]10.1148749999993[/C][/ROW]
[ROW][C]43[/C][C]125970[/C][C]126040.058958333[/C][C]127198.7125[/C][C]-1158.65354166667[/C][C]-70.0589583333349[/C][/ROW]
[ROW][C]44[/C][C]126322[/C][C]126246.205375[/C][C]127446.775833333[/C][C]-1200.57045833334[/C][C]75.7946250000095[/C][/ROW]
[ROW][C]45[/C][C]126540[/C][C]126538.638708333[/C][C]127701.275833333[/C][C]-1162.637125[/C][C]1.36129166668979[/C][/ROW]
[ROW][C]46[/C][C]126733[/C][C]126818.305791667[/C][C]127964.846666667[/C][C]-1146.54087500001[/C][C]-85.3057916666585[/C][/ROW]
[ROW][C]47[/C][C]129557.34[/C][C]129571.118875[/C][C]128224.709166667[/C][C]1346.40970833334[/C][C]-13.7788749999745[/C][/ROW]
[ROW][C]48[/C][C]131179.77[/C][C]131066.789875[/C][C]128472.459166667[/C][C]2594.33070833333[/C][C]112.980125000002[/C][/ROW]
[ROW][C]49[/C][C]128754.8[/C][C]128765.113875[/C][C]128729.625833333[/C][C]35.4880416666776[/C][C]-10.313874999978[/C][/ROW]
[ROW][C]50[/C][C]127890[/C][C]127825.781208333[/C][C]128987.2925[/C][C]-1161.51129166666[/C][C]64.2187916666735[/C][/ROW]
[ROW][C]51[/C][C]127996[/C][C]128095.389541667[/C][C]129237.625833333[/C][C]-1142.23629166667[/C][C]-99.3895416666492[/C][/ROW]
[ROW][C]52[/C][C]134790.6[/C][C]134658.941208333[/C][C]129496.250833333[/C][C]5162.690375[/C][C]131.65879166669[/C][/ROW]
[ROW][C]53[/C][C]128585[/C][C]128709.178541667[/C][C]129766.935[/C][C]-1057.75645833333[/C][C]-124.178541666668[/C][/ROW]
[ROW][C]54[/C][C]128851[/C][C]128930.989291667[/C][C]130040.002083333[/C][C]-1109.01279166668[/C][C]-79.9892916666577[/C][/ROW]
[ROW][C]55[/C][C]129142[/C][C]129156.440208333[/C][C]130315.09375[/C][C]-1158.65354166667[/C][C]-14.4402083333262[/C][/ROW]
[ROW][C]56[/C][C]129334[/C][C]129378.940375[/C][C]130579.510833333[/C][C]-1200.57045833334[/C][C]-44.9403749999765[/C][/ROW]
[ROW][C]57[/C][C]129536[/C][C]129683.123708333[/C][C]130845.760833333[/C][C]-1162.637125[/C][C]-147.123708333325[/C][/ROW]
[ROW][C]58[/C][C]129944[/C][C]129983.819958333[/C][C]131130.360833333[/C][C]-1146.54087500001[/C][C]-39.8199583333335[/C][/ROW]
[ROW][C]59[/C][C]132842.76[/C][C]132758.120541667[/C][C]131411.710833333[/C][C]1346.40970833334[/C][C]84.6394583333458[/C][/ROW]
[ROW][C]60[/C][C]134447.96[/C][C]134268.041541667[/C][C]131673.710833333[/C][C]2594.33070833333[/C][C]179.918458333355[/C][/ROW]
[ROW][C]61[/C][C]132088.81[/C][C]131952.865541667[/C][C]131917.3775[/C][C]35.4880416666776[/C][C]135.944458333339[/C][/ROW]
[ROW][C]62[/C][C]130902[/C][C]130986.324541667[/C][C]132147.835833333[/C][C]-1161.51129166666[/C][C]-84.3245416666614[/C][/ROW]
[ROW][C]63[/C][C]131374[/C][C]131224.849541667[/C][C]132367.085833333[/C][C]-1142.23629166667[/C][C]149.150458333344[/C][/ROW]
[ROW][C]64[/C][C]138243[/C][C]137728.234541667[/C][C]132565.544166667[/C][C]5162.690375[/C][C]514.765458333364[/C][/ROW]
[ROW][C]65[/C][C]131885[/C][C]131687.920208333[/C][C]132745.676666667[/C][C]-1057.75645833333[/C][C]197.079791666707[/C][/ROW]
[ROW][C]66[/C][C]131839[/C][C]131810.112625[/C][C]132919.125416667[/C][C]-1109.01279166668[/C][C]28.8873750000203[/C][/ROW]
[ROW][C]67[/C][C]132002[/C][C]NA[/C][C]NA[/C][C]-1158.65354166667[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]132005[/C][C]NA[/C][C]NA[/C][C]-1200.57045833334[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]132127[/C][C]NA[/C][C]NA[/C][C]-1162.637125[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]132116[/C][C]NA[/C][C]NA[/C][C]-1146.54087500001[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]134993.94[/C][C]NA[/C][C]NA[/C][C]1346.40970833334[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]136459.55[/C][C]NA[/C][C]NA[/C][C]2594.33070833333[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155968&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	117541.78	NA	NA	35.4880416666776	NA
2	116587	NA	NA	-1161.51129166666	NA
3	116809	NA	NA	-1142.23629166667	NA
4	122819.55	NA	NA	5162.690375	NA
5	116955	NA	NA	-1057.75645833333	NA
6	117186	NA	NA	-1109.01279166668	NA
7	117265	117300.772291667	118459.425833333	-1158.65354166667	-35.7722916666535
8	117536	117419.817875	118620.388333333	-1200.57045833334	116.182125000007
9	117781	117629.042875	118791.68	-1162.637125	151.957125000015
10	117928	117822.420375	118968.96125	-1146.54087500001	105.579625000013
11	120437.52	120506.735541667	119160.325833333	1346.40970833334	-69.2155416666501
12	121753.21	121957.781541667	119363.450833333	2594.33070833333	-204.57154166665
13	119369.88	119610.397208333	119574.909166667	35.4880416666776	-240.517208333331
14	118622	118628.106208333	119789.6175	-1161.51129166666	-6.10620833333815
15	118885	118857.922875	120000.159166667	-1142.23629166667	27.0771249999816
16	124998.3	125376.349541667	120213.659166667	5162.690375	-378.049541666682
17	119369	119381.867708333	120439.624166667	-1057.75645833333	-12.8677083333314
18	119647	119567.735541667	120676.748333333	-1109.01279166668	79.2644583333458
19	119879	119766.063541667	120924.717083333	-1158.65354166667	112.936458333352
20	120075	119973.456208333	121174.026666667	-1200.57045833334	101.543791666685
21	120295	120255.931208333	121418.568333333	-1162.637125	39.0687916666793
22	120538	120530.462875	121677.00375	-1146.54087500001	7.53712500001711
23	123250.68	123284.473875	121938.064166667	1346.40970833334	-33.7938749999885
24	124631.03	124783.186541667	122188.855833333	2594.33070833333	-152.156541666656
25	122443.31	122476.218875	122440.730833333	35.4880416666776	-32.9088749999792
26	121532	121524.302875	122685.814166667	-1161.51129166666	7.69712500002061
27	121844	121791.744541667	122933.980833333	-1142.23629166667	52.2554583333404
28	128241.75	128360.837875	123198.1475	5162.690375	-119.087875000012
29	122391	122411.536875	123469.293333333	-1057.75645833333	-20.5368749999907
30	122644	122641.414291667	123750.427083333	-1109.01279166668	2.58570833335398
31	122927	122878.801875	124037.455416667	-1158.65354166667	48.1981250000099
32	122909	123116.717041667	124317.2875	-1200.57045833334	-207.717041666663
33	123417	123421.400375	124584.0375	-1162.637125	-4.40037499998289
34	123756	123703.127875	124849.66875	-1146.54087500001	52.872125000009
35	126540.18	126467.168041667	125120.758333333	1346.40970833334	73.0119583333289
36	128088.74	127984.047375	125389.716666667	2594.33070833333	104.692624999996
37	125874.28	125685.621375	125650.133333333	35.4880416666776	188.658625000011
38	124817	124757.622041667	125919.133333333	-1161.51129166666	59.377958333338
39	124961	125049.230375	126191.466666667	-1142.23629166667	-88.2303749999992
40	131499.9	131608.323708333	126445.633333333	5162.690375	-108.423708333343
41	125639	125637.633541667	126695.39	-1057.75645833333	1.36645833333023
42	125851	125840.885125	126949.897916667	-1109.01279166668	10.1148749999993
43	125970	126040.058958333	127198.7125	-1158.65354166667	-70.0589583333349
44	126322	126246.205375	127446.775833333	-1200.57045833334	75.7946250000095
45	126540	126538.638708333	127701.275833333	-1162.637125	1.36129166668979
46	126733	126818.305791667	127964.846666667	-1146.54087500001	-85.3057916666585
47	129557.34	129571.118875	128224.709166667	1346.40970833334	-13.7788749999745
48	131179.77	131066.789875	128472.459166667	2594.33070833333	112.980125000002
49	128754.8	128765.113875	128729.625833333	35.4880416666776	-10.313874999978
50	127890	127825.781208333	128987.2925	-1161.51129166666	64.2187916666735
51	127996	128095.389541667	129237.625833333	-1142.23629166667	-99.3895416666492
52	134790.6	134658.941208333	129496.250833333	5162.690375	131.65879166669
53	128585	128709.178541667	129766.935	-1057.75645833333	-124.178541666668
54	128851	128930.989291667	130040.002083333	-1109.01279166668	-79.9892916666577
55	129142	129156.440208333	130315.09375	-1158.65354166667	-14.4402083333262
56	129334	129378.940375	130579.510833333	-1200.57045833334	-44.9403749999765
57	129536	129683.123708333	130845.760833333	-1162.637125	-147.123708333325
58	129944	129983.819958333	131130.360833333	-1146.54087500001	-39.8199583333335
59	132842.76	132758.120541667	131411.710833333	1346.40970833334	84.6394583333458
60	134447.96	134268.041541667	131673.710833333	2594.33070833333	179.918458333355
61	132088.81	131952.865541667	131917.3775	35.4880416666776	135.944458333339
62	130902	130986.324541667	132147.835833333	-1161.51129166666	-84.3245416666614
63	131374	131224.849541667	132367.085833333	-1142.23629166667	149.150458333344
64	138243	137728.234541667	132565.544166667	5162.690375	514.765458333364
65	131885	131687.920208333	132745.676666667	-1057.75645833333	197.079791666707
66	131839	131810.112625	132919.125416667	-1109.01279166668	28.8873750000203
67	132002	NA	NA	-1158.65354166667	NA
68	132005	NA	NA	-1200.57045833334	NA
69	132127	NA	NA	-1162.637125	NA
70	132116	NA	NA	-1146.54087500001	NA
71	134993.94	NA	NA	1346.40970833334	NA
72	136459.55	NA	NA	2594.33070833333	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 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; 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