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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 06 Aug 2016 09:26:42 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/06/t1470472033jtszg75ixr4fmf6.htm/, Retrieved Mon, 06 May 2024 13:11:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296038, Retrieved Mon, 06 May 2024 13:11:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Decompositie] [2016-08-06 08:26:42] [e98d32ae432942f69cb1b3451eac7d8c] [Current]
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Dataseries X:
 106 474.50 
 106 559.75 
 106 636.75 
 106 722.00 
 106 804.50 
 106 889.75 
 106 972.25 
 107 057.50 
 107 142.75 
 107 225.25 
 107 310.50 
 107 393.00 
 107 478.25 
 107 563.50 
 107 640.50 
 107 725.75 
 107 808.25 
 107 893.50 
 107 976.00 
 108 061.25 
 108 146.50 
 108 229.00 
 108 314.25 
 108 396.75 
 108 482.00 
 108 567.25 
 108 647.00 
 108 732.25 
 108 814.75 
 108 900.00 
 108 982.50 
 109 067.75 
 109 153.00 
 109 235.50 
 109 320.75 
 109 403.25 
 109 488.50 
 109 573.75 
 109 650.75 
 109 736.00 
 109 818.50 
 109 903.75 
 109 986.25 
 110 071.50 
 110 156.75 
 110 239.25 
 110 324.50 
 110 407.00 
 110 492.25 
 110 577.50 
 110 654.50 
 110 739.75 
 110 822.25 
 110 907.50 
 110 990.00 
 111 075.25 
 111 160.50 
 111 243.00 
 111 328.25 
 111 410.75 
 111 496.00 
 111 581.25 
 111 658.25 
 111 743.50 
 111 826.00 
 111 911.25 
 111 993.75 
 112 079.00 
 112 164.25 
 112 246.75 
 112 332.00 
 112 414.50 
 112 499.75 
 112 585.00 
 112 664.75 
 112 750.00 
 112 832.50 
 112 917.75 
 113 000.25 
 113 085.50 
 113 170.75 
 113 253.25 
 113 338.50 
 113 421.00 
 113 506.25 
 113 591.50 
 113 668.50 
 113 753.75 
 113 836.25 
 113 921.50 
 114 004.00 
 114 089.25 
 114 174.50 
 114 257.00 
 114 342.25 
 114 424.75 
 114 510.00 
 114 595.25 
 114 672.25 
 114 757.50 
 114 840.00 
 114 925.25 
 115 007.75 
 115 093.00 
 115 178.25 
 115 260.75 
 115 346.00 
 115 428.50 
 115 513.75 
 115 599.00 
 115 676.00 
 115 761.25 
 115 843.75 
 115 929.00 
 116 011.50 
 116 096.75 
 116 182.00 
 116 264.50 
 116 349.75 
 116 432.25 




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296038&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296038&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296038&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1106474.5NANA1.94792NA
2106559.75NANA3.50116NA
3106636.75NANA-2.58449NA
4106722NANA-1.03125NA
5106804.5NANA-2.22801NA
6106889.75NANA-0.674769NA
7106972.25106972106974-1.87153-0.0763889
8107057.5107058107058-0.318287-0.025463
9107142.751071431071411.234950.025463
10107225.251072251072250.03819440.0763889
11107310.51073101073091.591440.127315
121073931073931073920.3946760.178241
13107478.251074781074761.947920.229167
14107563.51075631075603.501160.280093
15107640.5107641107643-2.58449-0.280093
16107725.75107726107727-1.03125-0.229167
17107808.25107808107811-2.22801-0.178241
18107893.5107894107894-0.674769-0.127315
19107976107976107978-1.87153-0.0763889
20108061.25108061108062-0.318287-0.025463
21108146.51081471081451.23495-0.0891204
221082291082291082290.0381944-0.267361
23108314.251083151083131.59144-0.445602
24108396.751083971083970.394676-0.623843
251084821084831084811.94792-0.802083
26108567.251085681085653.50116-0.980324
27108647108646108649-2.584490.980324
28108732.25108731108732-1.031250.802083
29108814.75108814108816-2.228010.623843
30108900108900108900-0.6747690.445602
31108982.5108982108984-1.871530.267361
32109067.75109068109068-0.3182870.0891204
331091531091531091521.234950.025463
34109235.51092351092350.03819440.0763889
35109320.751093211093191.591440.127315
36109403.251094031094030.3946760.178241
37109488.51094881094861.947920.229167
38109573.751095731095703.501160.280093
39109650.75109651109654-2.58449-0.280093
40109736109736109737-1.03125-0.229167
41109818.5109819109821-2.22801-0.178241
42109903.75109904109905-0.674769-0.127315
43109986.25109986109988-1.87153-0.0763889
44110071.5110072110072-0.318287-0.025463
45110156.751101571101551.234950.025463
46110239.251102391102390.03819440.0763889
47110324.51103241103231.591440.127315
481104071104071104060.3946760.178241
49110492.251104921104901.947920.229167
50110577.51105771105743.501160.280093
51110654.5110655110657-2.58449-0.280093
52110739.75110740110741-1.03125-0.229167
53110822.25110822110825-2.22801-0.178241
54110907.5110908110908-0.674769-0.127315
55110990110990110992-1.87153-0.0763889
56111075.25111075111076-0.318287-0.025463
57111160.51111601111591.234950.025463
581112431112431112430.03819440.0763889
59111328.251113281113271.591440.127315
60111410.751114111114100.3946760.178241
611114961114961114941.947920.229167
62111581.251115811115773.501160.280093
63111658.25111659111661-2.58449-0.280093
64111743.5111744111745-1.03125-0.229167
65111826111826111828-2.22801-0.178241
66111911.25111911111912-0.674769-0.127315
67111993.75111994111996-1.87153-0.0763889
68112079112079112079-0.318287-0.025463
69112164.251121641121631.23495-0.0891204
70112246.751122471122470.0381944-0.267361
711123321123321123311.59144-0.445602
72112414.51124151124150.394676-0.623843
73112499.751125011124991.94792-0.802083
741125851125861125823.50116-0.980324
75112664.75112664112666-2.584490.980324
76112750112749112750-1.031250.802083
77112832.5112832112834-2.228010.623843
78112917.75112917112918-0.6747690.445602
79113000.25113000113002-1.871530.267361
80113085.5113085113086-0.3182870.0891204
81113170.751131711131691.234950.025463
82113253.251132531132530.03819440.0763889
83113338.51133381133371.591440.127315
841134211134211134200.3946760.178241
85113506.251135061135041.947920.229167
86113591.51135911135883.501160.280093
87113668.5113669113671-2.58449-0.280093
88113753.75113754113755-1.03125-0.229167
89113836.25113836113839-2.22801-0.178241
90113921.5113922113922-0.674769-0.127315
91114004114004114006-1.87153-0.0763889
92114089.25114089114090-0.318287-0.025463
93114174.51141741141731.234950.025463
941142571142571142570.03819440.0763889
95114342.251143421143411.591440.127315
96114424.751144251144240.3946760.178241
971145101145101145081.947920.229167
98114595.251145951145913.501160.280093
99114672.25114673114675-2.58449-0.280093
100114757.5114758114759-1.03125-0.229167
101114840114840114842-2.22801-0.178241
102114925.25114925114926-0.674769-0.127315
103115007.75115008115010-1.87153-0.0763889
104115093115093115093-0.318287-0.025463
105115178.251151781151771.234950.025463
106115260.751152611152610.03819440.0763889
1071153461153461153441.591440.127315
108115428.51154281154280.3946760.178241
109115513.751155141155121.947920.229167
1101155991155991155953.501160.280093
111115676115676115679-2.58449-0.280093
112115761.25115761115763-1.03125-0.229167
113115843.75115844115846-2.22801-0.178241
114115929115929115930-0.674769-0.127315
115116011.5NANA-1.87153NA
116116096.75NANA-0.318287NA
117116182NANA1.23495NA
118116264.5NANA0.0381944NA
119116349.75NANA1.59144NA
120116432.25NANA0.394676NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 106474.5 & NA & NA & 1.94792 & NA \tabularnewline
2 & 106559.75 & NA & NA & 3.50116 & NA \tabularnewline
3 & 106636.75 & NA & NA & -2.58449 & NA \tabularnewline
4 & 106722 & NA & NA & -1.03125 & NA \tabularnewline
5 & 106804.5 & NA & NA & -2.22801 & NA \tabularnewline
6 & 106889.75 & NA & NA & -0.674769 & NA \tabularnewline
7 & 106972.25 & 106972 & 106974 & -1.87153 & -0.0763889 \tabularnewline
8 & 107057.5 & 107058 & 107058 & -0.318287 & -0.025463 \tabularnewline
9 & 107142.75 & 107143 & 107141 & 1.23495 & 0.025463 \tabularnewline
10 & 107225.25 & 107225 & 107225 & 0.0381944 & 0.0763889 \tabularnewline
11 & 107310.5 & 107310 & 107309 & 1.59144 & 0.127315 \tabularnewline
12 & 107393 & 107393 & 107392 & 0.394676 & 0.178241 \tabularnewline
13 & 107478.25 & 107478 & 107476 & 1.94792 & 0.229167 \tabularnewline
14 & 107563.5 & 107563 & 107560 & 3.50116 & 0.280093 \tabularnewline
15 & 107640.5 & 107641 & 107643 & -2.58449 & -0.280093 \tabularnewline
16 & 107725.75 & 107726 & 107727 & -1.03125 & -0.229167 \tabularnewline
17 & 107808.25 & 107808 & 107811 & -2.22801 & -0.178241 \tabularnewline
18 & 107893.5 & 107894 & 107894 & -0.674769 & -0.127315 \tabularnewline
19 & 107976 & 107976 & 107978 & -1.87153 & -0.0763889 \tabularnewline
20 & 108061.25 & 108061 & 108062 & -0.318287 & -0.025463 \tabularnewline
21 & 108146.5 & 108147 & 108145 & 1.23495 & -0.0891204 \tabularnewline
22 & 108229 & 108229 & 108229 & 0.0381944 & -0.267361 \tabularnewline
23 & 108314.25 & 108315 & 108313 & 1.59144 & -0.445602 \tabularnewline
24 & 108396.75 & 108397 & 108397 & 0.394676 & -0.623843 \tabularnewline
25 & 108482 & 108483 & 108481 & 1.94792 & -0.802083 \tabularnewline
26 & 108567.25 & 108568 & 108565 & 3.50116 & -0.980324 \tabularnewline
27 & 108647 & 108646 & 108649 & -2.58449 & 0.980324 \tabularnewline
28 & 108732.25 & 108731 & 108732 & -1.03125 & 0.802083 \tabularnewline
29 & 108814.75 & 108814 & 108816 & -2.22801 & 0.623843 \tabularnewline
30 & 108900 & 108900 & 108900 & -0.674769 & 0.445602 \tabularnewline
31 & 108982.5 & 108982 & 108984 & -1.87153 & 0.267361 \tabularnewline
32 & 109067.75 & 109068 & 109068 & -0.318287 & 0.0891204 \tabularnewline
33 & 109153 & 109153 & 109152 & 1.23495 & 0.025463 \tabularnewline
34 & 109235.5 & 109235 & 109235 & 0.0381944 & 0.0763889 \tabularnewline
35 & 109320.75 & 109321 & 109319 & 1.59144 & 0.127315 \tabularnewline
36 & 109403.25 & 109403 & 109403 & 0.394676 & 0.178241 \tabularnewline
37 & 109488.5 & 109488 & 109486 & 1.94792 & 0.229167 \tabularnewline
38 & 109573.75 & 109573 & 109570 & 3.50116 & 0.280093 \tabularnewline
39 & 109650.75 & 109651 & 109654 & -2.58449 & -0.280093 \tabularnewline
40 & 109736 & 109736 & 109737 & -1.03125 & -0.229167 \tabularnewline
41 & 109818.5 & 109819 & 109821 & -2.22801 & -0.178241 \tabularnewline
42 & 109903.75 & 109904 & 109905 & -0.674769 & -0.127315 \tabularnewline
43 & 109986.25 & 109986 & 109988 & -1.87153 & -0.0763889 \tabularnewline
44 & 110071.5 & 110072 & 110072 & -0.318287 & -0.025463 \tabularnewline
45 & 110156.75 & 110157 & 110155 & 1.23495 & 0.025463 \tabularnewline
46 & 110239.25 & 110239 & 110239 & 0.0381944 & 0.0763889 \tabularnewline
47 & 110324.5 & 110324 & 110323 & 1.59144 & 0.127315 \tabularnewline
48 & 110407 & 110407 & 110406 & 0.394676 & 0.178241 \tabularnewline
49 & 110492.25 & 110492 & 110490 & 1.94792 & 0.229167 \tabularnewline
50 & 110577.5 & 110577 & 110574 & 3.50116 & 0.280093 \tabularnewline
51 & 110654.5 & 110655 & 110657 & -2.58449 & -0.280093 \tabularnewline
52 & 110739.75 & 110740 & 110741 & -1.03125 & -0.229167 \tabularnewline
53 & 110822.25 & 110822 & 110825 & -2.22801 & -0.178241 \tabularnewline
54 & 110907.5 & 110908 & 110908 & -0.674769 & -0.127315 \tabularnewline
55 & 110990 & 110990 & 110992 & -1.87153 & -0.0763889 \tabularnewline
56 & 111075.25 & 111075 & 111076 & -0.318287 & -0.025463 \tabularnewline
57 & 111160.5 & 111160 & 111159 & 1.23495 & 0.025463 \tabularnewline
58 & 111243 & 111243 & 111243 & 0.0381944 & 0.0763889 \tabularnewline
59 & 111328.25 & 111328 & 111327 & 1.59144 & 0.127315 \tabularnewline
60 & 111410.75 & 111411 & 111410 & 0.394676 & 0.178241 \tabularnewline
61 & 111496 & 111496 & 111494 & 1.94792 & 0.229167 \tabularnewline
62 & 111581.25 & 111581 & 111577 & 3.50116 & 0.280093 \tabularnewline
63 & 111658.25 & 111659 & 111661 & -2.58449 & -0.280093 \tabularnewline
64 & 111743.5 & 111744 & 111745 & -1.03125 & -0.229167 \tabularnewline
65 & 111826 & 111826 & 111828 & -2.22801 & -0.178241 \tabularnewline
66 & 111911.25 & 111911 & 111912 & -0.674769 & -0.127315 \tabularnewline
67 & 111993.75 & 111994 & 111996 & -1.87153 & -0.0763889 \tabularnewline
68 & 112079 & 112079 & 112079 & -0.318287 & -0.025463 \tabularnewline
69 & 112164.25 & 112164 & 112163 & 1.23495 & -0.0891204 \tabularnewline
70 & 112246.75 & 112247 & 112247 & 0.0381944 & -0.267361 \tabularnewline
71 & 112332 & 112332 & 112331 & 1.59144 & -0.445602 \tabularnewline
72 & 112414.5 & 112415 & 112415 & 0.394676 & -0.623843 \tabularnewline
73 & 112499.75 & 112501 & 112499 & 1.94792 & -0.802083 \tabularnewline
74 & 112585 & 112586 & 112582 & 3.50116 & -0.980324 \tabularnewline
75 & 112664.75 & 112664 & 112666 & -2.58449 & 0.980324 \tabularnewline
76 & 112750 & 112749 & 112750 & -1.03125 & 0.802083 \tabularnewline
77 & 112832.5 & 112832 & 112834 & -2.22801 & 0.623843 \tabularnewline
78 & 112917.75 & 112917 & 112918 & -0.674769 & 0.445602 \tabularnewline
79 & 113000.25 & 113000 & 113002 & -1.87153 & 0.267361 \tabularnewline
80 & 113085.5 & 113085 & 113086 & -0.318287 & 0.0891204 \tabularnewline
81 & 113170.75 & 113171 & 113169 & 1.23495 & 0.025463 \tabularnewline
82 & 113253.25 & 113253 & 113253 & 0.0381944 & 0.0763889 \tabularnewline
83 & 113338.5 & 113338 & 113337 & 1.59144 & 0.127315 \tabularnewline
84 & 113421 & 113421 & 113420 & 0.394676 & 0.178241 \tabularnewline
85 & 113506.25 & 113506 & 113504 & 1.94792 & 0.229167 \tabularnewline
86 & 113591.5 & 113591 & 113588 & 3.50116 & 0.280093 \tabularnewline
87 & 113668.5 & 113669 & 113671 & -2.58449 & -0.280093 \tabularnewline
88 & 113753.75 & 113754 & 113755 & -1.03125 & -0.229167 \tabularnewline
89 & 113836.25 & 113836 & 113839 & -2.22801 & -0.178241 \tabularnewline
90 & 113921.5 & 113922 & 113922 & -0.674769 & -0.127315 \tabularnewline
91 & 114004 & 114004 & 114006 & -1.87153 & -0.0763889 \tabularnewline
92 & 114089.25 & 114089 & 114090 & -0.318287 & -0.025463 \tabularnewline
93 & 114174.5 & 114174 & 114173 & 1.23495 & 0.025463 \tabularnewline
94 & 114257 & 114257 & 114257 & 0.0381944 & 0.0763889 \tabularnewline
95 & 114342.25 & 114342 & 114341 & 1.59144 & 0.127315 \tabularnewline
96 & 114424.75 & 114425 & 114424 & 0.394676 & 0.178241 \tabularnewline
97 & 114510 & 114510 & 114508 & 1.94792 & 0.229167 \tabularnewline
98 & 114595.25 & 114595 & 114591 & 3.50116 & 0.280093 \tabularnewline
99 & 114672.25 & 114673 & 114675 & -2.58449 & -0.280093 \tabularnewline
100 & 114757.5 & 114758 & 114759 & -1.03125 & -0.229167 \tabularnewline
101 & 114840 & 114840 & 114842 & -2.22801 & -0.178241 \tabularnewline
102 & 114925.25 & 114925 & 114926 & -0.674769 & -0.127315 \tabularnewline
103 & 115007.75 & 115008 & 115010 & -1.87153 & -0.0763889 \tabularnewline
104 & 115093 & 115093 & 115093 & -0.318287 & -0.025463 \tabularnewline
105 & 115178.25 & 115178 & 115177 & 1.23495 & 0.025463 \tabularnewline
106 & 115260.75 & 115261 & 115261 & 0.0381944 & 0.0763889 \tabularnewline
107 & 115346 & 115346 & 115344 & 1.59144 & 0.127315 \tabularnewline
108 & 115428.5 & 115428 & 115428 & 0.394676 & 0.178241 \tabularnewline
109 & 115513.75 & 115514 & 115512 & 1.94792 & 0.229167 \tabularnewline
110 & 115599 & 115599 & 115595 & 3.50116 & 0.280093 \tabularnewline
111 & 115676 & 115676 & 115679 & -2.58449 & -0.280093 \tabularnewline
112 & 115761.25 & 115761 & 115763 & -1.03125 & -0.229167 \tabularnewline
113 & 115843.75 & 115844 & 115846 & -2.22801 & -0.178241 \tabularnewline
114 & 115929 & 115929 & 115930 & -0.674769 & -0.127315 \tabularnewline
115 & 116011.5 & NA & NA & -1.87153 & NA \tabularnewline
116 & 116096.75 & NA & NA & -0.318287 & NA \tabularnewline
117 & 116182 & NA & NA & 1.23495 & NA \tabularnewline
118 & 116264.5 & NA & NA & 0.0381944 & NA \tabularnewline
119 & 116349.75 & NA & NA & 1.59144 & NA \tabularnewline
120 & 116432.25 & NA & NA & 0.394676 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296038&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]106474.5[/C][C]NA[/C][C]NA[/C][C]1.94792[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]106559.75[/C][C]NA[/C][C]NA[/C][C]3.50116[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]106636.75[/C][C]NA[/C][C]NA[/C][C]-2.58449[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]106722[/C][C]NA[/C][C]NA[/C][C]-1.03125[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]106804.5[/C][C]NA[/C][C]NA[/C][C]-2.22801[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]106889.75[/C][C]NA[/C][C]NA[/C][C]-0.674769[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]106972.25[/C][C]106972[/C][C]106974[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]8[/C][C]107057.5[/C][C]107058[/C][C]107058[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]9[/C][C]107142.75[/C][C]107143[/C][C]107141[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]10[/C][C]107225.25[/C][C]107225[/C][C]107225[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]11[/C][C]107310.5[/C][C]107310[/C][C]107309[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]12[/C][C]107393[/C][C]107393[/C][C]107392[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]13[/C][C]107478.25[/C][C]107478[/C][C]107476[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]14[/C][C]107563.5[/C][C]107563[/C][C]107560[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]15[/C][C]107640.5[/C][C]107641[/C][C]107643[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]16[/C][C]107725.75[/C][C]107726[/C][C]107727[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]17[/C][C]107808.25[/C][C]107808[/C][C]107811[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]18[/C][C]107893.5[/C][C]107894[/C][C]107894[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]19[/C][C]107976[/C][C]107976[/C][C]107978[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]20[/C][C]108061.25[/C][C]108061[/C][C]108062[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]21[/C][C]108146.5[/C][C]108147[/C][C]108145[/C][C]1.23495[/C][C]-0.0891204[/C][/ROW]
[ROW][C]22[/C][C]108229[/C][C]108229[/C][C]108229[/C][C]0.0381944[/C][C]-0.267361[/C][/ROW]
[ROW][C]23[/C][C]108314.25[/C][C]108315[/C][C]108313[/C][C]1.59144[/C][C]-0.445602[/C][/ROW]
[ROW][C]24[/C][C]108396.75[/C][C]108397[/C][C]108397[/C][C]0.394676[/C][C]-0.623843[/C][/ROW]
[ROW][C]25[/C][C]108482[/C][C]108483[/C][C]108481[/C][C]1.94792[/C][C]-0.802083[/C][/ROW]
[ROW][C]26[/C][C]108567.25[/C][C]108568[/C][C]108565[/C][C]3.50116[/C][C]-0.980324[/C][/ROW]
[ROW][C]27[/C][C]108647[/C][C]108646[/C][C]108649[/C][C]-2.58449[/C][C]0.980324[/C][/ROW]
[ROW][C]28[/C][C]108732.25[/C][C]108731[/C][C]108732[/C][C]-1.03125[/C][C]0.802083[/C][/ROW]
[ROW][C]29[/C][C]108814.75[/C][C]108814[/C][C]108816[/C][C]-2.22801[/C][C]0.623843[/C][/ROW]
[ROW][C]30[/C][C]108900[/C][C]108900[/C][C]108900[/C][C]-0.674769[/C][C]0.445602[/C][/ROW]
[ROW][C]31[/C][C]108982.5[/C][C]108982[/C][C]108984[/C][C]-1.87153[/C][C]0.267361[/C][/ROW]
[ROW][C]32[/C][C]109067.75[/C][C]109068[/C][C]109068[/C][C]-0.318287[/C][C]0.0891204[/C][/ROW]
[ROW][C]33[/C][C]109153[/C][C]109153[/C][C]109152[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]34[/C][C]109235.5[/C][C]109235[/C][C]109235[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]35[/C][C]109320.75[/C][C]109321[/C][C]109319[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]36[/C][C]109403.25[/C][C]109403[/C][C]109403[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]37[/C][C]109488.5[/C][C]109488[/C][C]109486[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]38[/C][C]109573.75[/C][C]109573[/C][C]109570[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]39[/C][C]109650.75[/C][C]109651[/C][C]109654[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]40[/C][C]109736[/C][C]109736[/C][C]109737[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]41[/C][C]109818.5[/C][C]109819[/C][C]109821[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]42[/C][C]109903.75[/C][C]109904[/C][C]109905[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]43[/C][C]109986.25[/C][C]109986[/C][C]109988[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]44[/C][C]110071.5[/C][C]110072[/C][C]110072[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]45[/C][C]110156.75[/C][C]110157[/C][C]110155[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]46[/C][C]110239.25[/C][C]110239[/C][C]110239[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]47[/C][C]110324.5[/C][C]110324[/C][C]110323[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]48[/C][C]110407[/C][C]110407[/C][C]110406[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]49[/C][C]110492.25[/C][C]110492[/C][C]110490[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]50[/C][C]110577.5[/C][C]110577[/C][C]110574[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]51[/C][C]110654.5[/C][C]110655[/C][C]110657[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]52[/C][C]110739.75[/C][C]110740[/C][C]110741[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]53[/C][C]110822.25[/C][C]110822[/C][C]110825[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]54[/C][C]110907.5[/C][C]110908[/C][C]110908[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]55[/C][C]110990[/C][C]110990[/C][C]110992[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]56[/C][C]111075.25[/C][C]111075[/C][C]111076[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]57[/C][C]111160.5[/C][C]111160[/C][C]111159[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]58[/C][C]111243[/C][C]111243[/C][C]111243[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]59[/C][C]111328.25[/C][C]111328[/C][C]111327[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]60[/C][C]111410.75[/C][C]111411[/C][C]111410[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]61[/C][C]111496[/C][C]111496[/C][C]111494[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]62[/C][C]111581.25[/C][C]111581[/C][C]111577[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]63[/C][C]111658.25[/C][C]111659[/C][C]111661[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]64[/C][C]111743.5[/C][C]111744[/C][C]111745[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]65[/C][C]111826[/C][C]111826[/C][C]111828[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]66[/C][C]111911.25[/C][C]111911[/C][C]111912[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]67[/C][C]111993.75[/C][C]111994[/C][C]111996[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]68[/C][C]112079[/C][C]112079[/C][C]112079[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]69[/C][C]112164.25[/C][C]112164[/C][C]112163[/C][C]1.23495[/C][C]-0.0891204[/C][/ROW]
[ROW][C]70[/C][C]112246.75[/C][C]112247[/C][C]112247[/C][C]0.0381944[/C][C]-0.267361[/C][/ROW]
[ROW][C]71[/C][C]112332[/C][C]112332[/C][C]112331[/C][C]1.59144[/C][C]-0.445602[/C][/ROW]
[ROW][C]72[/C][C]112414.5[/C][C]112415[/C][C]112415[/C][C]0.394676[/C][C]-0.623843[/C][/ROW]
[ROW][C]73[/C][C]112499.75[/C][C]112501[/C][C]112499[/C][C]1.94792[/C][C]-0.802083[/C][/ROW]
[ROW][C]74[/C][C]112585[/C][C]112586[/C][C]112582[/C][C]3.50116[/C][C]-0.980324[/C][/ROW]
[ROW][C]75[/C][C]112664.75[/C][C]112664[/C][C]112666[/C][C]-2.58449[/C][C]0.980324[/C][/ROW]
[ROW][C]76[/C][C]112750[/C][C]112749[/C][C]112750[/C][C]-1.03125[/C][C]0.802083[/C][/ROW]
[ROW][C]77[/C][C]112832.5[/C][C]112832[/C][C]112834[/C][C]-2.22801[/C][C]0.623843[/C][/ROW]
[ROW][C]78[/C][C]112917.75[/C][C]112917[/C][C]112918[/C][C]-0.674769[/C][C]0.445602[/C][/ROW]
[ROW][C]79[/C][C]113000.25[/C][C]113000[/C][C]113002[/C][C]-1.87153[/C][C]0.267361[/C][/ROW]
[ROW][C]80[/C][C]113085.5[/C][C]113085[/C][C]113086[/C][C]-0.318287[/C][C]0.0891204[/C][/ROW]
[ROW][C]81[/C][C]113170.75[/C][C]113171[/C][C]113169[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]82[/C][C]113253.25[/C][C]113253[/C][C]113253[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]83[/C][C]113338.5[/C][C]113338[/C][C]113337[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]84[/C][C]113421[/C][C]113421[/C][C]113420[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]85[/C][C]113506.25[/C][C]113506[/C][C]113504[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]86[/C][C]113591.5[/C][C]113591[/C][C]113588[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]87[/C][C]113668.5[/C][C]113669[/C][C]113671[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]88[/C][C]113753.75[/C][C]113754[/C][C]113755[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]89[/C][C]113836.25[/C][C]113836[/C][C]113839[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]90[/C][C]113921.5[/C][C]113922[/C][C]113922[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]91[/C][C]114004[/C][C]114004[/C][C]114006[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]92[/C][C]114089.25[/C][C]114089[/C][C]114090[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]93[/C][C]114174.5[/C][C]114174[/C][C]114173[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]94[/C][C]114257[/C][C]114257[/C][C]114257[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]95[/C][C]114342.25[/C][C]114342[/C][C]114341[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]96[/C][C]114424.75[/C][C]114425[/C][C]114424[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]97[/C][C]114510[/C][C]114510[/C][C]114508[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]98[/C][C]114595.25[/C][C]114595[/C][C]114591[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]99[/C][C]114672.25[/C][C]114673[/C][C]114675[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]100[/C][C]114757.5[/C][C]114758[/C][C]114759[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]101[/C][C]114840[/C][C]114840[/C][C]114842[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]102[/C][C]114925.25[/C][C]114925[/C][C]114926[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]103[/C][C]115007.75[/C][C]115008[/C][C]115010[/C][C]-1.87153[/C][C]-0.0763889[/C][/ROW]
[ROW][C]104[/C][C]115093[/C][C]115093[/C][C]115093[/C][C]-0.318287[/C][C]-0.025463[/C][/ROW]
[ROW][C]105[/C][C]115178.25[/C][C]115178[/C][C]115177[/C][C]1.23495[/C][C]0.025463[/C][/ROW]
[ROW][C]106[/C][C]115260.75[/C][C]115261[/C][C]115261[/C][C]0.0381944[/C][C]0.0763889[/C][/ROW]
[ROW][C]107[/C][C]115346[/C][C]115346[/C][C]115344[/C][C]1.59144[/C][C]0.127315[/C][/ROW]
[ROW][C]108[/C][C]115428.5[/C][C]115428[/C][C]115428[/C][C]0.394676[/C][C]0.178241[/C][/ROW]
[ROW][C]109[/C][C]115513.75[/C][C]115514[/C][C]115512[/C][C]1.94792[/C][C]0.229167[/C][/ROW]
[ROW][C]110[/C][C]115599[/C][C]115599[/C][C]115595[/C][C]3.50116[/C][C]0.280093[/C][/ROW]
[ROW][C]111[/C][C]115676[/C][C]115676[/C][C]115679[/C][C]-2.58449[/C][C]-0.280093[/C][/ROW]
[ROW][C]112[/C][C]115761.25[/C][C]115761[/C][C]115763[/C][C]-1.03125[/C][C]-0.229167[/C][/ROW]
[ROW][C]113[/C][C]115843.75[/C][C]115844[/C][C]115846[/C][C]-2.22801[/C][C]-0.178241[/C][/ROW]
[ROW][C]114[/C][C]115929[/C][C]115929[/C][C]115930[/C][C]-0.674769[/C][C]-0.127315[/C][/ROW]
[ROW][C]115[/C][C]116011.5[/C][C]NA[/C][C]NA[/C][C]-1.87153[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]116096.75[/C][C]NA[/C][C]NA[/C][C]-0.318287[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]116182[/C][C]NA[/C][C]NA[/C][C]1.23495[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]116264.5[/C][C]NA[/C][C]NA[/C][C]0.0381944[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]116349.75[/C][C]NA[/C][C]NA[/C][C]1.59144[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]116432.25[/C][C]NA[/C][C]NA[/C][C]0.394676[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296038&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296038&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
tObservationsFitTrendSeasonalRandom
1106474.5NANA1.94792NA
2106559.75NANA3.50116NA
3106636.75NANA-2.58449NA
4106722NANA-1.03125NA
5106804.5NANA-2.22801NA
6106889.75NANA-0.674769NA
7106972.25106972106974-1.87153-0.0763889
8107057.5107058107058-0.318287-0.025463
9107142.751071431071411.234950.025463
10107225.251072251072250.03819440.0763889
11107310.51073101073091.591440.127315
121073931073931073920.3946760.178241
13107478.251074781074761.947920.229167
14107563.51075631075603.501160.280093
15107640.5107641107643-2.58449-0.280093
16107725.75107726107727-1.03125-0.229167
17107808.25107808107811-2.22801-0.178241
18107893.5107894107894-0.674769-0.127315
19107976107976107978-1.87153-0.0763889
20108061.25108061108062-0.318287-0.025463
21108146.51081471081451.23495-0.0891204
221082291082291082290.0381944-0.267361
23108314.251083151083131.59144-0.445602
24108396.751083971083970.394676-0.623843
251084821084831084811.94792-0.802083
26108567.251085681085653.50116-0.980324
27108647108646108649-2.584490.980324
28108732.25108731108732-1.031250.802083
29108814.75108814108816-2.228010.623843
30108900108900108900-0.6747690.445602
31108982.5108982108984-1.871530.267361
32109067.75109068109068-0.3182870.0891204
331091531091531091521.234950.025463
34109235.51092351092350.03819440.0763889
35109320.751093211093191.591440.127315
36109403.251094031094030.3946760.178241
37109488.51094881094861.947920.229167
38109573.751095731095703.501160.280093
39109650.75109651109654-2.58449-0.280093
40109736109736109737-1.03125-0.229167
41109818.5109819109821-2.22801-0.178241
42109903.75109904109905-0.674769-0.127315
43109986.25109986109988-1.87153-0.0763889
44110071.5110072110072-0.318287-0.025463
45110156.751101571101551.234950.025463
46110239.251102391102390.03819440.0763889
47110324.51103241103231.591440.127315
481104071104071104060.3946760.178241
49110492.251104921104901.947920.229167
50110577.51105771105743.501160.280093
51110654.5110655110657-2.58449-0.280093
52110739.75110740110741-1.03125-0.229167
53110822.25110822110825-2.22801-0.178241
54110907.5110908110908-0.674769-0.127315
55110990110990110992-1.87153-0.0763889
56111075.25111075111076-0.318287-0.025463
57111160.51111601111591.234950.025463
581112431112431112430.03819440.0763889
59111328.251113281113271.591440.127315
60111410.751114111114100.3946760.178241
611114961114961114941.947920.229167
62111581.251115811115773.501160.280093
63111658.25111659111661-2.58449-0.280093
64111743.5111744111745-1.03125-0.229167
65111826111826111828-2.22801-0.178241
66111911.25111911111912-0.674769-0.127315
67111993.75111994111996-1.87153-0.0763889
68112079112079112079-0.318287-0.025463
69112164.251121641121631.23495-0.0891204
70112246.751122471122470.0381944-0.267361
711123321123321123311.59144-0.445602
72112414.51124151124150.394676-0.623843
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116116096.75NANA-0.318287NA
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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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')