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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 May 2012 11:52:39 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/04/t13361468288tidejqy57t2p7r.htm/, Retrieved Fri, 03 May 2024 09:30:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166205, Retrieved Fri, 03 May 2024 09:30:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [multiplicatief mo...] [2012-05-04 15:38:52] [74be16979710d4c4e7c6647856088456]
- R  D    [Classical Decomposition] [multiplicatief mo...] [2012-05-04 15:52:39] [e5023936a4a44f1411ffe7f6ed888868] [Current]
- R PD      [Classical Decomposition] [opdracht 9 verbet...] [2012-05-28 10:28:26] [a23b71380c738c5ecd118524e86d7af0]
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Dataseries X:
128,27
128,38
128,47
128,52
128,71
128,92
128,92
128,82
128,97
129,04
128,95
129,39
129,39
129,48
130,16
129,89
129,85
129,9
129,9
129,57
129,54
129,57
128,97
129,01
129,01
128,72
128,32
128,39
128,33
128,44
128,44
128,6
128,3
128,56
128,01
128,01
128,01
128,26
128,38
128,36
128,48
128,46
128,46
129,56
129,66
129,47
129,41
129,48
129,48
130,17
129,77
129,87
129,97
130,05
130,05
129,89
130,33
130,6
131,46
131,73




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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=166205&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=166205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166205&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1128.27NANA0.999111498852257NA
2128.38NANA1.00036304938694NA
3128.47NANA1.00016553237293NA
4128.52NANA0.999699037151439NA
5128.71NANA0.999604199617068NA
6128.92NANA0.999641313883786NA
7128.92128.835958000421128.8266666666671.000072122752181.00065231788457
8128.82129.105234427832128.9191666666671.00144329013270.997790682700848
9128.97129.168910171344129.0354166666671.001034549336340.998460077033397
10129.04129.311835984849129.1629166666671.001152957226620.99789782595863
11128.95129.063321994329129.26750.9984205000818370.999121965926664
12129.39129.264242832821129.3558333333330.9992919492059041.00097286894212
13129.39129.322494632689129.43750.9991114988522571.00052199246158
14129.48129.556601708165129.5095833333331.000363049386940.999408739445503
15130.16129.58603046626129.5645833333331.000165532372931.00442925469416
16129.89129.571408746463129.6104166666670.9996990371514391.00245880828663
17129.85129.582024410359129.6333333333330.9996041996170681.0020679997157
18129.9129.57184103676129.6183333333330.9996413138837861.00253264104773
19129.9129.596012813712129.5866666666671.000072122752181.00234565230587
20129.57129.726129267715129.5391666666671.00144329013270.998796470159126
21129.54129.564735916061129.4308333333331.001034549336340.999809084502154
22129.57129.440734428092129.2916666666671.001152957226621.00099864677436
23128.97128.961815910154129.1658333333330.9984205000818371.00006346134155
24129.01128.950298612112129.0416666666670.9992919492059041.00046297983433
25129.01128.805454432033128.920.9991114988522571.00158801945825
26128.72128.865517568213128.818751.000363049386940.998870779623911
27128.32128.747975097259128.7266666666671.000165532372930.996675869294754
28128.39128.594202937648128.6329166666670.9996990371514390.998412036211718
29128.33128.499952864274128.5508333333330.9996041996170680.998677409131401
30128.44128.423086560222128.4691666666670.9996413138837861.00013170092879
31128.44128.395092872974128.3858333333331.000072122752181.0003497573468
32128.6128.510210206279128.3251.00144329013271.0006986977422
33128.3128.441074634431128.3083333333331.001034549336340.998901639254949
34128.56128.457518794683128.3095833333331.001152957226621.00079778284898
35128.01128.111910459459128.3145833333330.9984205000818370.999204520023987
36128.01128.230808408684128.3216666666670.9992919492059040.998278039330612
37128.01128.209317904385128.3233333333330.9991114988522570.998445371150534
38128.26128.410769198679128.3641666666671.000363049386940.99882588353282
39128.38128.482097759903128.4608333333331.000165532372930.999205354195772
40128.36128.516726262269128.5554166666670.9996990371514390.99878049910835
41128.48128.600746287735128.6516666666670.9996041996170680.999061076306159
42128.46128.725061540457128.771250.9996413138837860.997940870741987
43128.46128.903046171989128.893751.000072122752180.996562950332474
44129.56129.220817674235129.0345833333331.00144329013271.00262482726754
45129.66129.30571822642129.1720833333331.001034549336341.00273987707922
46129.47129.441985869289129.2929166666671.001152957226621.00021642228774
47129.41129.213501077883129.4179166666670.9984205000818371.00152073057752
48129.48129.454524674815129.546250.9992919492059041.00019678976265
49129.48129.563530281787129.678750.9991114988522570.999355294799351
50130.17129.805858834637129.758751.000363049386941.00280527526748
51129.77129.821902837644129.8004166666671.000165532372930.99960019968503
52129.87129.836328991309129.8754166666670.9996990371514391.00025933426301
53129.97129.956459483466130.0079166666670.9996041996170681.00010419271645
54130.05130.140387034031130.1870833333330.9996413138837860.999305465151202
55130.05NANA1.00007212275218NA
56129.89NANA1.0014432901327NA
57130.33NANA1.00103454933634NA
58130.6NANA1.00115295722662NA
59131.46NANA0.998420500081837NA
60131.73NANA0.999291949205904NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 128.27 & NA & NA & 0.999111498852257 & NA \tabularnewline
2 & 128.38 & NA & NA & 1.00036304938694 & NA \tabularnewline
3 & 128.47 & NA & NA & 1.00016553237293 & NA \tabularnewline
4 & 128.52 & NA & NA & 0.999699037151439 & NA \tabularnewline
5 & 128.71 & NA & NA & 0.999604199617068 & NA \tabularnewline
6 & 128.92 & NA & NA & 0.999641313883786 & NA \tabularnewline
7 & 128.92 & 128.835958000421 & 128.826666666667 & 1.00007212275218 & 1.00065231788457 \tabularnewline
8 & 128.82 & 129.105234427832 & 128.919166666667 & 1.0014432901327 & 0.997790682700848 \tabularnewline
9 & 128.97 & 129.168910171344 & 129.035416666667 & 1.00103454933634 & 0.998460077033397 \tabularnewline
10 & 129.04 & 129.311835984849 & 129.162916666667 & 1.00115295722662 & 0.99789782595863 \tabularnewline
11 & 128.95 & 129.063321994329 & 129.2675 & 0.998420500081837 & 0.999121965926664 \tabularnewline
12 & 129.39 & 129.264242832821 & 129.355833333333 & 0.999291949205904 & 1.00097286894212 \tabularnewline
13 & 129.39 & 129.322494632689 & 129.4375 & 0.999111498852257 & 1.00052199246158 \tabularnewline
14 & 129.48 & 129.556601708165 & 129.509583333333 & 1.00036304938694 & 0.999408739445503 \tabularnewline
15 & 130.16 & 129.58603046626 & 129.564583333333 & 1.00016553237293 & 1.00442925469416 \tabularnewline
16 & 129.89 & 129.571408746463 & 129.610416666667 & 0.999699037151439 & 1.00245880828663 \tabularnewline
17 & 129.85 & 129.582024410359 & 129.633333333333 & 0.999604199617068 & 1.0020679997157 \tabularnewline
18 & 129.9 & 129.57184103676 & 129.618333333333 & 0.999641313883786 & 1.00253264104773 \tabularnewline
19 & 129.9 & 129.596012813712 & 129.586666666667 & 1.00007212275218 & 1.00234565230587 \tabularnewline
20 & 129.57 & 129.726129267715 & 129.539166666667 & 1.0014432901327 & 0.998796470159126 \tabularnewline
21 & 129.54 & 129.564735916061 & 129.430833333333 & 1.00103454933634 & 0.999809084502154 \tabularnewline
22 & 129.57 & 129.440734428092 & 129.291666666667 & 1.00115295722662 & 1.00099864677436 \tabularnewline
23 & 128.97 & 128.961815910154 & 129.165833333333 & 0.998420500081837 & 1.00006346134155 \tabularnewline
24 & 129.01 & 128.950298612112 & 129.041666666667 & 0.999291949205904 & 1.00046297983433 \tabularnewline
25 & 129.01 & 128.805454432033 & 128.92 & 0.999111498852257 & 1.00158801945825 \tabularnewline
26 & 128.72 & 128.865517568213 & 128.81875 & 1.00036304938694 & 0.998870779623911 \tabularnewline
27 & 128.32 & 128.747975097259 & 128.726666666667 & 1.00016553237293 & 0.996675869294754 \tabularnewline
28 & 128.39 & 128.594202937648 & 128.632916666667 & 0.999699037151439 & 0.998412036211718 \tabularnewline
29 & 128.33 & 128.499952864274 & 128.550833333333 & 0.999604199617068 & 0.998677409131401 \tabularnewline
30 & 128.44 & 128.423086560222 & 128.469166666667 & 0.999641313883786 & 1.00013170092879 \tabularnewline
31 & 128.44 & 128.395092872974 & 128.385833333333 & 1.00007212275218 & 1.0003497573468 \tabularnewline
32 & 128.6 & 128.510210206279 & 128.325 & 1.0014432901327 & 1.0006986977422 \tabularnewline
33 & 128.3 & 128.441074634431 & 128.308333333333 & 1.00103454933634 & 0.998901639254949 \tabularnewline
34 & 128.56 & 128.457518794683 & 128.309583333333 & 1.00115295722662 & 1.00079778284898 \tabularnewline
35 & 128.01 & 128.111910459459 & 128.314583333333 & 0.998420500081837 & 0.999204520023987 \tabularnewline
36 & 128.01 & 128.230808408684 & 128.321666666667 & 0.999291949205904 & 0.998278039330612 \tabularnewline
37 & 128.01 & 128.209317904385 & 128.323333333333 & 0.999111498852257 & 0.998445371150534 \tabularnewline
38 & 128.26 & 128.410769198679 & 128.364166666667 & 1.00036304938694 & 0.99882588353282 \tabularnewline
39 & 128.38 & 128.482097759903 & 128.460833333333 & 1.00016553237293 & 0.999205354195772 \tabularnewline
40 & 128.36 & 128.516726262269 & 128.555416666667 & 0.999699037151439 & 0.99878049910835 \tabularnewline
41 & 128.48 & 128.600746287735 & 128.651666666667 & 0.999604199617068 & 0.999061076306159 \tabularnewline
42 & 128.46 & 128.725061540457 & 128.77125 & 0.999641313883786 & 0.997940870741987 \tabularnewline
43 & 128.46 & 128.903046171989 & 128.89375 & 1.00007212275218 & 0.996562950332474 \tabularnewline
44 & 129.56 & 129.220817674235 & 129.034583333333 & 1.0014432901327 & 1.00262482726754 \tabularnewline
45 & 129.66 & 129.30571822642 & 129.172083333333 & 1.00103454933634 & 1.00273987707922 \tabularnewline
46 & 129.47 & 129.441985869289 & 129.292916666667 & 1.00115295722662 & 1.00021642228774 \tabularnewline
47 & 129.41 & 129.213501077883 & 129.417916666667 & 0.998420500081837 & 1.00152073057752 \tabularnewline
48 & 129.48 & 129.454524674815 & 129.54625 & 0.999291949205904 & 1.00019678976265 \tabularnewline
49 & 129.48 & 129.563530281787 & 129.67875 & 0.999111498852257 & 0.999355294799351 \tabularnewline
50 & 130.17 & 129.805858834637 & 129.75875 & 1.00036304938694 & 1.00280527526748 \tabularnewline
51 & 129.77 & 129.821902837644 & 129.800416666667 & 1.00016553237293 & 0.99960019968503 \tabularnewline
52 & 129.87 & 129.836328991309 & 129.875416666667 & 0.999699037151439 & 1.00025933426301 \tabularnewline
53 & 129.97 & 129.956459483466 & 130.007916666667 & 0.999604199617068 & 1.00010419271645 \tabularnewline
54 & 130.05 & 130.140387034031 & 130.187083333333 & 0.999641313883786 & 0.999305465151202 \tabularnewline
55 & 130.05 & NA & NA & 1.00007212275218 & NA \tabularnewline
56 & 129.89 & NA & NA & 1.0014432901327 & NA \tabularnewline
57 & 130.33 & NA & NA & 1.00103454933634 & NA \tabularnewline
58 & 130.6 & NA & NA & 1.00115295722662 & NA \tabularnewline
59 & 131.46 & NA & NA & 0.998420500081837 & NA \tabularnewline
60 & 131.73 & NA & NA & 0.999291949205904 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166205&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]128.27[/C][C]NA[/C][C]NA[/C][C]0.999111498852257[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]128.38[/C][C]NA[/C][C]NA[/C][C]1.00036304938694[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]128.47[/C][C]NA[/C][C]NA[/C][C]1.00016553237293[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]128.52[/C][C]NA[/C][C]NA[/C][C]0.999699037151439[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]128.71[/C][C]NA[/C][C]NA[/C][C]0.999604199617068[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]128.92[/C][C]NA[/C][C]NA[/C][C]0.999641313883786[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]128.92[/C][C]128.835958000421[/C][C]128.826666666667[/C][C]1.00007212275218[/C][C]1.00065231788457[/C][/ROW]
[ROW][C]8[/C][C]128.82[/C][C]129.105234427832[/C][C]128.919166666667[/C][C]1.0014432901327[/C][C]0.997790682700848[/C][/ROW]
[ROW][C]9[/C][C]128.97[/C][C]129.168910171344[/C][C]129.035416666667[/C][C]1.00103454933634[/C][C]0.998460077033397[/C][/ROW]
[ROW][C]10[/C][C]129.04[/C][C]129.311835984849[/C][C]129.162916666667[/C][C]1.00115295722662[/C][C]0.99789782595863[/C][/ROW]
[ROW][C]11[/C][C]128.95[/C][C]129.063321994329[/C][C]129.2675[/C][C]0.998420500081837[/C][C]0.999121965926664[/C][/ROW]
[ROW][C]12[/C][C]129.39[/C][C]129.264242832821[/C][C]129.355833333333[/C][C]0.999291949205904[/C][C]1.00097286894212[/C][/ROW]
[ROW][C]13[/C][C]129.39[/C][C]129.322494632689[/C][C]129.4375[/C][C]0.999111498852257[/C][C]1.00052199246158[/C][/ROW]
[ROW][C]14[/C][C]129.48[/C][C]129.556601708165[/C][C]129.509583333333[/C][C]1.00036304938694[/C][C]0.999408739445503[/C][/ROW]
[ROW][C]15[/C][C]130.16[/C][C]129.58603046626[/C][C]129.564583333333[/C][C]1.00016553237293[/C][C]1.00442925469416[/C][/ROW]
[ROW][C]16[/C][C]129.89[/C][C]129.571408746463[/C][C]129.610416666667[/C][C]0.999699037151439[/C][C]1.00245880828663[/C][/ROW]
[ROW][C]17[/C][C]129.85[/C][C]129.582024410359[/C][C]129.633333333333[/C][C]0.999604199617068[/C][C]1.0020679997157[/C][/ROW]
[ROW][C]18[/C][C]129.9[/C][C]129.57184103676[/C][C]129.618333333333[/C][C]0.999641313883786[/C][C]1.00253264104773[/C][/ROW]
[ROW][C]19[/C][C]129.9[/C][C]129.596012813712[/C][C]129.586666666667[/C][C]1.00007212275218[/C][C]1.00234565230587[/C][/ROW]
[ROW][C]20[/C][C]129.57[/C][C]129.726129267715[/C][C]129.539166666667[/C][C]1.0014432901327[/C][C]0.998796470159126[/C][/ROW]
[ROW][C]21[/C][C]129.54[/C][C]129.564735916061[/C][C]129.430833333333[/C][C]1.00103454933634[/C][C]0.999809084502154[/C][/ROW]
[ROW][C]22[/C][C]129.57[/C][C]129.440734428092[/C][C]129.291666666667[/C][C]1.00115295722662[/C][C]1.00099864677436[/C][/ROW]
[ROW][C]23[/C][C]128.97[/C][C]128.961815910154[/C][C]129.165833333333[/C][C]0.998420500081837[/C][C]1.00006346134155[/C][/ROW]
[ROW][C]24[/C][C]129.01[/C][C]128.950298612112[/C][C]129.041666666667[/C][C]0.999291949205904[/C][C]1.00046297983433[/C][/ROW]
[ROW][C]25[/C][C]129.01[/C][C]128.805454432033[/C][C]128.92[/C][C]0.999111498852257[/C][C]1.00158801945825[/C][/ROW]
[ROW][C]26[/C][C]128.72[/C][C]128.865517568213[/C][C]128.81875[/C][C]1.00036304938694[/C][C]0.998870779623911[/C][/ROW]
[ROW][C]27[/C][C]128.32[/C][C]128.747975097259[/C][C]128.726666666667[/C][C]1.00016553237293[/C][C]0.996675869294754[/C][/ROW]
[ROW][C]28[/C][C]128.39[/C][C]128.594202937648[/C][C]128.632916666667[/C][C]0.999699037151439[/C][C]0.998412036211718[/C][/ROW]
[ROW][C]29[/C][C]128.33[/C][C]128.499952864274[/C][C]128.550833333333[/C][C]0.999604199617068[/C][C]0.998677409131401[/C][/ROW]
[ROW][C]30[/C][C]128.44[/C][C]128.423086560222[/C][C]128.469166666667[/C][C]0.999641313883786[/C][C]1.00013170092879[/C][/ROW]
[ROW][C]31[/C][C]128.44[/C][C]128.395092872974[/C][C]128.385833333333[/C][C]1.00007212275218[/C][C]1.0003497573468[/C][/ROW]
[ROW][C]32[/C][C]128.6[/C][C]128.510210206279[/C][C]128.325[/C][C]1.0014432901327[/C][C]1.0006986977422[/C][/ROW]
[ROW][C]33[/C][C]128.3[/C][C]128.441074634431[/C][C]128.308333333333[/C][C]1.00103454933634[/C][C]0.998901639254949[/C][/ROW]
[ROW][C]34[/C][C]128.56[/C][C]128.457518794683[/C][C]128.309583333333[/C][C]1.00115295722662[/C][C]1.00079778284898[/C][/ROW]
[ROW][C]35[/C][C]128.01[/C][C]128.111910459459[/C][C]128.314583333333[/C][C]0.998420500081837[/C][C]0.999204520023987[/C][/ROW]
[ROW][C]36[/C][C]128.01[/C][C]128.230808408684[/C][C]128.321666666667[/C][C]0.999291949205904[/C][C]0.998278039330612[/C][/ROW]
[ROW][C]37[/C][C]128.01[/C][C]128.209317904385[/C][C]128.323333333333[/C][C]0.999111498852257[/C][C]0.998445371150534[/C][/ROW]
[ROW][C]38[/C][C]128.26[/C][C]128.410769198679[/C][C]128.364166666667[/C][C]1.00036304938694[/C][C]0.99882588353282[/C][/ROW]
[ROW][C]39[/C][C]128.38[/C][C]128.482097759903[/C][C]128.460833333333[/C][C]1.00016553237293[/C][C]0.999205354195772[/C][/ROW]
[ROW][C]40[/C][C]128.36[/C][C]128.516726262269[/C][C]128.555416666667[/C][C]0.999699037151439[/C][C]0.99878049910835[/C][/ROW]
[ROW][C]41[/C][C]128.48[/C][C]128.600746287735[/C][C]128.651666666667[/C][C]0.999604199617068[/C][C]0.999061076306159[/C][/ROW]
[ROW][C]42[/C][C]128.46[/C][C]128.725061540457[/C][C]128.77125[/C][C]0.999641313883786[/C][C]0.997940870741987[/C][/ROW]
[ROW][C]43[/C][C]128.46[/C][C]128.903046171989[/C][C]128.89375[/C][C]1.00007212275218[/C][C]0.996562950332474[/C][/ROW]
[ROW][C]44[/C][C]129.56[/C][C]129.220817674235[/C][C]129.034583333333[/C][C]1.0014432901327[/C][C]1.00262482726754[/C][/ROW]
[ROW][C]45[/C][C]129.66[/C][C]129.30571822642[/C][C]129.172083333333[/C][C]1.00103454933634[/C][C]1.00273987707922[/C][/ROW]
[ROW][C]46[/C][C]129.47[/C][C]129.441985869289[/C][C]129.292916666667[/C][C]1.00115295722662[/C][C]1.00021642228774[/C][/ROW]
[ROW][C]47[/C][C]129.41[/C][C]129.213501077883[/C][C]129.417916666667[/C][C]0.998420500081837[/C][C]1.00152073057752[/C][/ROW]
[ROW][C]48[/C][C]129.48[/C][C]129.454524674815[/C][C]129.54625[/C][C]0.999291949205904[/C][C]1.00019678976265[/C][/ROW]
[ROW][C]49[/C][C]129.48[/C][C]129.563530281787[/C][C]129.67875[/C][C]0.999111498852257[/C][C]0.999355294799351[/C][/ROW]
[ROW][C]50[/C][C]130.17[/C][C]129.805858834637[/C][C]129.75875[/C][C]1.00036304938694[/C][C]1.00280527526748[/C][/ROW]
[ROW][C]51[/C][C]129.77[/C][C]129.821902837644[/C][C]129.800416666667[/C][C]1.00016553237293[/C][C]0.99960019968503[/C][/ROW]
[ROW][C]52[/C][C]129.87[/C][C]129.836328991309[/C][C]129.875416666667[/C][C]0.999699037151439[/C][C]1.00025933426301[/C][/ROW]
[ROW][C]53[/C][C]129.97[/C][C]129.956459483466[/C][C]130.007916666667[/C][C]0.999604199617068[/C][C]1.00010419271645[/C][/ROW]
[ROW][C]54[/C][C]130.05[/C][C]130.140387034031[/C][C]130.187083333333[/C][C]0.999641313883786[/C][C]0.999305465151202[/C][/ROW]
[ROW][C]55[/C][C]130.05[/C][C]NA[/C][C]NA[/C][C]1.00007212275218[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]129.89[/C][C]NA[/C][C]NA[/C][C]1.0014432901327[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]130.33[/C][C]NA[/C][C]NA[/C][C]1.00103454933634[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]130.6[/C][C]NA[/C][C]NA[/C][C]1.00115295722662[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]131.46[/C][C]NA[/C][C]NA[/C][C]0.998420500081837[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]131.73[/C][C]NA[/C][C]NA[/C][C]0.999291949205904[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166205&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
1128.27NANA0.999111498852257NA
2128.38NANA1.00036304938694NA
3128.47NANA1.00016553237293NA
4128.52NANA0.999699037151439NA
5128.71NANA0.999604199617068NA
6128.92NANA0.999641313883786NA
7128.92128.835958000421128.8266666666671.000072122752181.00065231788457
8128.82129.105234427832128.9191666666671.00144329013270.997790682700848
9128.97129.168910171344129.0354166666671.001034549336340.998460077033397
10129.04129.311835984849129.1629166666671.001152957226620.99789782595863
11128.95129.063321994329129.26750.9984205000818370.999121965926664
12129.39129.264242832821129.3558333333330.9992919492059041.00097286894212
13129.39129.322494632689129.43750.9991114988522571.00052199246158
14129.48129.556601708165129.5095833333331.000363049386940.999408739445503
15130.16129.58603046626129.5645833333331.000165532372931.00442925469416
16129.89129.571408746463129.6104166666670.9996990371514391.00245880828663
17129.85129.582024410359129.6333333333330.9996041996170681.0020679997157
18129.9129.57184103676129.6183333333330.9996413138837861.00253264104773
19129.9129.596012813712129.5866666666671.000072122752181.00234565230587
20129.57129.726129267715129.5391666666671.00144329013270.998796470159126
21129.54129.564735916061129.4308333333331.001034549336340.999809084502154
22129.57129.440734428092129.2916666666671.001152957226621.00099864677436
23128.97128.961815910154129.1658333333330.9984205000818371.00006346134155
24129.01128.950298612112129.0416666666670.9992919492059041.00046297983433
25129.01128.805454432033128.920.9991114988522571.00158801945825
26128.72128.865517568213128.818751.000363049386940.998870779623911
27128.32128.747975097259128.7266666666671.000165532372930.996675869294754
28128.39128.594202937648128.6329166666670.9996990371514390.998412036211718
29128.33128.499952864274128.5508333333330.9996041996170680.998677409131401
30128.44128.423086560222128.4691666666670.9996413138837861.00013170092879
31128.44128.395092872974128.3858333333331.000072122752181.0003497573468
32128.6128.510210206279128.3251.00144329013271.0006986977422
33128.3128.441074634431128.3083333333331.001034549336340.998901639254949
34128.56128.457518794683128.3095833333331.001152957226621.00079778284898
35128.01128.111910459459128.3145833333330.9984205000818370.999204520023987
36128.01128.230808408684128.3216666666670.9992919492059040.998278039330612
37128.01128.209317904385128.3233333333330.9991114988522570.998445371150534
38128.26128.410769198679128.3641666666671.000363049386940.99882588353282
39128.38128.482097759903128.4608333333331.000165532372930.999205354195772
40128.36128.516726262269128.5554166666670.9996990371514390.99878049910835
41128.48128.600746287735128.6516666666670.9996041996170680.999061076306159
42128.46128.725061540457128.771250.9996413138837860.997940870741987
43128.46128.903046171989128.893751.000072122752180.996562950332474
44129.56129.220817674235129.0345833333331.00144329013271.00262482726754
45129.66129.30571822642129.1720833333331.001034549336341.00273987707922
46129.47129.441985869289129.2929166666671.001152957226621.00021642228774
47129.41129.213501077883129.4179166666670.9984205000818371.00152073057752
48129.48129.454524674815129.546250.9992919492059041.00019678976265
49129.48129.563530281787129.678750.9991114988522570.999355294799351
50130.17129.805858834637129.758751.000363049386941.00280527526748
51129.77129.821902837644129.8004166666671.000165532372930.99960019968503
52129.87129.836328991309129.8754166666670.9996990371514391.00025933426301
53129.97129.956459483466130.0079166666670.9996041996170681.00010419271645
54130.05130.140387034031130.1870833333330.9996413138837860.999305465151202
55130.05NANA1.00007212275218NA
56129.89NANA1.0014432901327NA
57130.33NANA1.00103454933634NA
58130.6NANA1.00115295722662NA
59131.46NANA0.998420500081837NA
60131.73NANA0.999291949205904NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')