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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 21 May 2008 09:40:00 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/21/t1211384496tag13k52prq5jfs.htm/, Retrieved Wed, 15 May 2024 22:47:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12995, Retrieved Wed, 15 May 2024 22:47:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact233
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Elke Van Buggenho...] [2008-05-19 15:41:10] [7e40a74f47a2dfb96bfc9bf78abaa1ed]
-   PD    [Classical Decomposition] [verbetering opgav...] [2008-05-21 15:40:00] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
10.893
10.756
10.940
10.997
10.827
10.166
10.186
10.457
10.368
10.244
10.511
10.812
10.738
10.171
9.721
9.897
9.828
9.924
10.371
10.846
10.413
10.709
10.662
10.570
10.297
10.635
10.872
10.296
10.383
10.431
10.574
10.653
10.805
10.872
10.625
10.407
10.463
10.556
10.646
10.702
11.353
11.346
11.451
11.964
12.574
13.031
13.812
14.544
14.931
14.886
16.005
17.064
15.168
16.050
15.839
15.137
14.954
15.648
15.305
15.579
16.348
15.928
16.171
15.937
15.713
15.594
15.683
16.438
17.032
17.696
17.745
19.394




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' @ 193.190.124.24

\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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12995&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12995&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12995&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' @ 193.190.124.24







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
110.893NANA1.01012797708450NA
210.756NANA0.997519199631532NA
310.94NANA1.0055568496333NA
410.997NANA1.00662338252075NA
510.827NANA0.981907092822072NA
610.166NANA0.991580581953606NA
710.18610.551590597861110.58995833333330.9963769701197570.965352086543687
810.45710.560849451657610.5591251.000163313878530.990166562629928
910.36810.405611623509210.48395833333330.9925269914918440.996385448076478
1010.24410.499174565270510.38733333333331.010767078358630.975695749824504
1110.51110.331101137666310.2998751.003031700643581.01741332893140
1210.81210.287302999504410.24816666666671.003818861861911.05100433034011
1310.73810.349560809879210.24579166666671.010127977084501.03753194915769
1410.17110.244231237115910.26970833333330.9975191996315320.992851465822968
159.72110.344959378017010.28779166666671.00555684963330.939684695201128
169.89710.377322393047310.30904166666671.006623382520750.95371422657456
179.82810.147723414747410.33470833333330.9819070928220720.968493089367933
189.92410.243936360447510.33091666666670.9915805819536060.968768220614603
1910.37110.265132218951710.30245833333330.9963769701197571.01031333827857
2010.84610.305099357604610.30341666666671.000163313878531.05248863922852
2110.41310.293207941722710.37070833333330.9925269914918441.01163797126761
2210.70910.547649269736810.43529166666671.010767078358631.01529731659983
2310.66210.506798857229010.47504166666671.003031700643581.01477149652144
2410.5710.559463388426810.51929166666671.003818861861911.00099783589238
2510.29710.655713764267210.5488751.010127977084500.966336017257696
2610.63510.523120980012910.54929166666670.9975191996315321.01063173370330
2710.87210.616250236407710.55758333333331.00555684963331.02409040460588
2810.29610.650788411965510.58070833333331.006623382520750.966689000077507
2910.38310.394427571818910.58595833333330.9819070928220720.998900605950644
3010.43110.488567553187010.5776250.9915805819536060.994511399874664
3110.57410.539426495684310.577750.9963769701197571.00328039711932
3210.65310.583103085391410.5813751.000163313878531.00660457656366
3310.80510.489686930746810.56866666666670.9925269914918441.03005934031539
3410.87210.690041081900610.57616666666671.010767078358631.01702134881478
3510.62510.665737588793510.63351.003031700643580.996180518369747
3610.40710.752949474050610.71204166666671.003818861861910.96782748074047
3710.46310.895955868150510.78670833333331.010127977084500.960264535448786
3810.55610.850889163691910.8778750.9975191996315320.972823502365264
3910.64611.067368178074411.00620833333331.00555684963330.961926975655404
4010.70211.243857354833911.1698751.006623382520750.951808588660102
4111.35311.186499293362111.3926250.9819070928220721.01488407608775
4211.34611.599303068405411.69779166666670.9915805819536060.978162216564947
4311.45112.012652877420512.05633333333330.9963769701197570.953244892435358
4411.96412.424945501370212.42291666666671.000163313878530.962901607792218
4512.57412.730771522244112.8266250.9925269914918440.987685622825753
4613.03113.458363648345213.3151.010767078358630.968245497037249
4713.81213.780694328129713.73904166666671.003031700643581.00227170497545
4814.54414.147823039081714.0941.003818861861911.02800267997585
4914.93114.619413857681114.47283333333331.010127977084501.02131317611993
5014.88614.751189234251114.7878750.9975191996315321.00913897609257
5116.00515.102709713854915.019251.00555684963331.05974360252169
5217.06415.328315614693815.22745833333331.006623382520751.11323386267193
5315.16815.120100932798315.39870833333330.9819070928220721.00316790657778
5416.0515.373506658466315.50404166666670.9915805819536061.04400384092989
5515.83915.549666574224415.60620833333330.9963769701197571.01860705015085
5615.13715.711232109946515.70866666666671.000163313878530.9634508543997
5714.95415.641232858920015.7590.9925269914918440.956062743575354
5815.64815.888205589424415.71895833333331.010767078358630.984881515532235
5915.30515.742289990688315.69470833333331.003031700643580.97222195811747
6015.57915.758366751367315.69841666666671.003818861861910.988617681375405
6116.34815.831651607513915.67291666666671.010127977084501.03261494159213
6215.92815.681625267707515.7206250.9975191996315321.01571104576768
6316.17115.949556174054515.86141666666671.00555684963331.01388401178873
6415.93716.139528233082716.03333333333331.006623382520750.98745141554587
6515.71315.926860347938316.22033333333330.9819070928220720.986572347388858
6615.59416.342198255319816.48095833333330.9915805819536060.954216792402684
6715.683NANA0.996376970119757NA
6816.438NANA1.00016331387853NA
6917.032NANA0.992526991491844NA
7017.696NANA1.01076707835863NA
7117.745NANA1.00303170064358NA
7219.394NANA1.00381886186191NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 10.893 & NA & NA & 1.01012797708450 & NA \tabularnewline
2 & 10.756 & NA & NA & 0.997519199631532 & NA \tabularnewline
3 & 10.94 & NA & NA & 1.0055568496333 & NA \tabularnewline
4 & 10.997 & NA & NA & 1.00662338252075 & NA \tabularnewline
5 & 10.827 & NA & NA & 0.981907092822072 & NA \tabularnewline
6 & 10.166 & NA & NA & 0.991580581953606 & NA \tabularnewline
7 & 10.186 & 10.5515905978611 & 10.5899583333333 & 0.996376970119757 & 0.965352086543687 \tabularnewline
8 & 10.457 & 10.5608494516576 & 10.559125 & 1.00016331387853 & 0.990166562629928 \tabularnewline
9 & 10.368 & 10.4056116235092 & 10.4839583333333 & 0.992526991491844 & 0.996385448076478 \tabularnewline
10 & 10.244 & 10.4991745652705 & 10.3873333333333 & 1.01076707835863 & 0.975695749824504 \tabularnewline
11 & 10.511 & 10.3311011376663 & 10.299875 & 1.00303170064358 & 1.01741332893140 \tabularnewline
12 & 10.812 & 10.2873029995044 & 10.2481666666667 & 1.00381886186191 & 1.05100433034011 \tabularnewline
13 & 10.738 & 10.3495608098792 & 10.2457916666667 & 1.01012797708450 & 1.03753194915769 \tabularnewline
14 & 10.171 & 10.2442312371159 & 10.2697083333333 & 0.997519199631532 & 0.992851465822968 \tabularnewline
15 & 9.721 & 10.3449593780170 & 10.2877916666667 & 1.0055568496333 & 0.939684695201128 \tabularnewline
16 & 9.897 & 10.3773223930473 & 10.3090416666667 & 1.00662338252075 & 0.95371422657456 \tabularnewline
17 & 9.828 & 10.1477234147474 & 10.3347083333333 & 0.981907092822072 & 0.968493089367933 \tabularnewline
18 & 9.924 & 10.2439363604475 & 10.3309166666667 & 0.991580581953606 & 0.968768220614603 \tabularnewline
19 & 10.371 & 10.2651322189517 & 10.3024583333333 & 0.996376970119757 & 1.01031333827857 \tabularnewline
20 & 10.846 & 10.3050993576046 & 10.3034166666667 & 1.00016331387853 & 1.05248863922852 \tabularnewline
21 & 10.413 & 10.2932079417227 & 10.3707083333333 & 0.992526991491844 & 1.01163797126761 \tabularnewline
22 & 10.709 & 10.5476492697368 & 10.4352916666667 & 1.01076707835863 & 1.01529731659983 \tabularnewline
23 & 10.662 & 10.5067988572290 & 10.4750416666667 & 1.00303170064358 & 1.01477149652144 \tabularnewline
24 & 10.57 & 10.5594633884268 & 10.5192916666667 & 1.00381886186191 & 1.00099783589238 \tabularnewline
25 & 10.297 & 10.6557137642672 & 10.548875 & 1.01012797708450 & 0.966336017257696 \tabularnewline
26 & 10.635 & 10.5231209800129 & 10.5492916666667 & 0.997519199631532 & 1.01063173370330 \tabularnewline
27 & 10.872 & 10.6162502364077 & 10.5575833333333 & 1.0055568496333 & 1.02409040460588 \tabularnewline
28 & 10.296 & 10.6507884119655 & 10.5807083333333 & 1.00662338252075 & 0.966689000077507 \tabularnewline
29 & 10.383 & 10.3944275718189 & 10.5859583333333 & 0.981907092822072 & 0.998900605950644 \tabularnewline
30 & 10.431 & 10.4885675531870 & 10.577625 & 0.991580581953606 & 0.994511399874664 \tabularnewline
31 & 10.574 & 10.5394264956843 & 10.57775 & 0.996376970119757 & 1.00328039711932 \tabularnewline
32 & 10.653 & 10.5831030853914 & 10.581375 & 1.00016331387853 & 1.00660457656366 \tabularnewline
33 & 10.805 & 10.4896869307468 & 10.5686666666667 & 0.992526991491844 & 1.03005934031539 \tabularnewline
34 & 10.872 & 10.6900410819006 & 10.5761666666667 & 1.01076707835863 & 1.01702134881478 \tabularnewline
35 & 10.625 & 10.6657375887935 & 10.6335 & 1.00303170064358 & 0.996180518369747 \tabularnewline
36 & 10.407 & 10.7529494740506 & 10.7120416666667 & 1.00381886186191 & 0.96782748074047 \tabularnewline
37 & 10.463 & 10.8959558681505 & 10.7867083333333 & 1.01012797708450 & 0.960264535448786 \tabularnewline
38 & 10.556 & 10.8508891636919 & 10.877875 & 0.997519199631532 & 0.972823502365264 \tabularnewline
39 & 10.646 & 11.0673681780744 & 11.0062083333333 & 1.0055568496333 & 0.961926975655404 \tabularnewline
40 & 10.702 & 11.2438573548339 & 11.169875 & 1.00662338252075 & 0.951808588660102 \tabularnewline
41 & 11.353 & 11.1864992933621 & 11.392625 & 0.981907092822072 & 1.01488407608775 \tabularnewline
42 & 11.346 & 11.5993030684054 & 11.6977916666667 & 0.991580581953606 & 0.978162216564947 \tabularnewline
43 & 11.451 & 12.0126528774205 & 12.0563333333333 & 0.996376970119757 & 0.953244892435358 \tabularnewline
44 & 11.964 & 12.4249455013702 & 12.4229166666667 & 1.00016331387853 & 0.962901607792218 \tabularnewline
45 & 12.574 & 12.7307715222441 & 12.826625 & 0.992526991491844 & 0.987685622825753 \tabularnewline
46 & 13.031 & 13.4583636483452 & 13.315 & 1.01076707835863 & 0.968245497037249 \tabularnewline
47 & 13.812 & 13.7806943281297 & 13.7390416666667 & 1.00303170064358 & 1.00227170497545 \tabularnewline
48 & 14.544 & 14.1478230390817 & 14.094 & 1.00381886186191 & 1.02800267997585 \tabularnewline
49 & 14.931 & 14.6194138576811 & 14.4728333333333 & 1.01012797708450 & 1.02131317611993 \tabularnewline
50 & 14.886 & 14.7511892342511 & 14.787875 & 0.997519199631532 & 1.00913897609257 \tabularnewline
51 & 16.005 & 15.1027097138549 & 15.01925 & 1.0055568496333 & 1.05974360252169 \tabularnewline
52 & 17.064 & 15.3283156146938 & 15.2274583333333 & 1.00662338252075 & 1.11323386267193 \tabularnewline
53 & 15.168 & 15.1201009327983 & 15.3987083333333 & 0.981907092822072 & 1.00316790657778 \tabularnewline
54 & 16.05 & 15.3735066584663 & 15.5040416666667 & 0.991580581953606 & 1.04400384092989 \tabularnewline
55 & 15.839 & 15.5496665742244 & 15.6062083333333 & 0.996376970119757 & 1.01860705015085 \tabularnewline
56 & 15.137 & 15.7112321099465 & 15.7086666666667 & 1.00016331387853 & 0.9634508543997 \tabularnewline
57 & 14.954 & 15.6412328589200 & 15.759 & 0.992526991491844 & 0.956062743575354 \tabularnewline
58 & 15.648 & 15.8882055894244 & 15.7189583333333 & 1.01076707835863 & 0.984881515532235 \tabularnewline
59 & 15.305 & 15.7422899906883 & 15.6947083333333 & 1.00303170064358 & 0.97222195811747 \tabularnewline
60 & 15.579 & 15.7583667513673 & 15.6984166666667 & 1.00381886186191 & 0.988617681375405 \tabularnewline
61 & 16.348 & 15.8316516075139 & 15.6729166666667 & 1.01012797708450 & 1.03261494159213 \tabularnewline
62 & 15.928 & 15.6816252677075 & 15.720625 & 0.997519199631532 & 1.01571104576768 \tabularnewline
63 & 16.171 & 15.9495561740545 & 15.8614166666667 & 1.0055568496333 & 1.01388401178873 \tabularnewline
64 & 15.937 & 16.1395282330827 & 16.0333333333333 & 1.00662338252075 & 0.98745141554587 \tabularnewline
65 & 15.713 & 15.9268603479383 & 16.2203333333333 & 0.981907092822072 & 0.986572347388858 \tabularnewline
66 & 15.594 & 16.3421982553198 & 16.4809583333333 & 0.991580581953606 & 0.954216792402684 \tabularnewline
67 & 15.683 & NA & NA & 0.996376970119757 & NA \tabularnewline
68 & 16.438 & NA & NA & 1.00016331387853 & NA \tabularnewline
69 & 17.032 & NA & NA & 0.992526991491844 & NA \tabularnewline
70 & 17.696 & NA & NA & 1.01076707835863 & NA \tabularnewline
71 & 17.745 & NA & NA & 1.00303170064358 & NA \tabularnewline
72 & 19.394 & NA & NA & 1.00381886186191 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12995&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]10.893[/C][C]NA[/C][C]NA[/C][C]1.01012797708450[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]10.756[/C][C]NA[/C][C]NA[/C][C]0.997519199631532[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]10.94[/C][C]NA[/C][C]NA[/C][C]1.0055568496333[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]10.997[/C][C]NA[/C][C]NA[/C][C]1.00662338252075[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]10.827[/C][C]NA[/C][C]NA[/C][C]0.981907092822072[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]10.166[/C][C]NA[/C][C]NA[/C][C]0.991580581953606[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]10.186[/C][C]10.5515905978611[/C][C]10.5899583333333[/C][C]0.996376970119757[/C][C]0.965352086543687[/C][/ROW]
[ROW][C]8[/C][C]10.457[/C][C]10.5608494516576[/C][C]10.559125[/C][C]1.00016331387853[/C][C]0.990166562629928[/C][/ROW]
[ROW][C]9[/C][C]10.368[/C][C]10.4056116235092[/C][C]10.4839583333333[/C][C]0.992526991491844[/C][C]0.996385448076478[/C][/ROW]
[ROW][C]10[/C][C]10.244[/C][C]10.4991745652705[/C][C]10.3873333333333[/C][C]1.01076707835863[/C][C]0.975695749824504[/C][/ROW]
[ROW][C]11[/C][C]10.511[/C][C]10.3311011376663[/C][C]10.299875[/C][C]1.00303170064358[/C][C]1.01741332893140[/C][/ROW]
[ROW][C]12[/C][C]10.812[/C][C]10.2873029995044[/C][C]10.2481666666667[/C][C]1.00381886186191[/C][C]1.05100433034011[/C][/ROW]
[ROW][C]13[/C][C]10.738[/C][C]10.3495608098792[/C][C]10.2457916666667[/C][C]1.01012797708450[/C][C]1.03753194915769[/C][/ROW]
[ROW][C]14[/C][C]10.171[/C][C]10.2442312371159[/C][C]10.2697083333333[/C][C]0.997519199631532[/C][C]0.992851465822968[/C][/ROW]
[ROW][C]15[/C][C]9.721[/C][C]10.3449593780170[/C][C]10.2877916666667[/C][C]1.0055568496333[/C][C]0.939684695201128[/C][/ROW]
[ROW][C]16[/C][C]9.897[/C][C]10.3773223930473[/C][C]10.3090416666667[/C][C]1.00662338252075[/C][C]0.95371422657456[/C][/ROW]
[ROW][C]17[/C][C]9.828[/C][C]10.1477234147474[/C][C]10.3347083333333[/C][C]0.981907092822072[/C][C]0.968493089367933[/C][/ROW]
[ROW][C]18[/C][C]9.924[/C][C]10.2439363604475[/C][C]10.3309166666667[/C][C]0.991580581953606[/C][C]0.968768220614603[/C][/ROW]
[ROW][C]19[/C][C]10.371[/C][C]10.2651322189517[/C][C]10.3024583333333[/C][C]0.996376970119757[/C][C]1.01031333827857[/C][/ROW]
[ROW][C]20[/C][C]10.846[/C][C]10.3050993576046[/C][C]10.3034166666667[/C][C]1.00016331387853[/C][C]1.05248863922852[/C][/ROW]
[ROW][C]21[/C][C]10.413[/C][C]10.2932079417227[/C][C]10.3707083333333[/C][C]0.992526991491844[/C][C]1.01163797126761[/C][/ROW]
[ROW][C]22[/C][C]10.709[/C][C]10.5476492697368[/C][C]10.4352916666667[/C][C]1.01076707835863[/C][C]1.01529731659983[/C][/ROW]
[ROW][C]23[/C][C]10.662[/C][C]10.5067988572290[/C][C]10.4750416666667[/C][C]1.00303170064358[/C][C]1.01477149652144[/C][/ROW]
[ROW][C]24[/C][C]10.57[/C][C]10.5594633884268[/C][C]10.5192916666667[/C][C]1.00381886186191[/C][C]1.00099783589238[/C][/ROW]
[ROW][C]25[/C][C]10.297[/C][C]10.6557137642672[/C][C]10.548875[/C][C]1.01012797708450[/C][C]0.966336017257696[/C][/ROW]
[ROW][C]26[/C][C]10.635[/C][C]10.5231209800129[/C][C]10.5492916666667[/C][C]0.997519199631532[/C][C]1.01063173370330[/C][/ROW]
[ROW][C]27[/C][C]10.872[/C][C]10.6162502364077[/C][C]10.5575833333333[/C][C]1.0055568496333[/C][C]1.02409040460588[/C][/ROW]
[ROW][C]28[/C][C]10.296[/C][C]10.6507884119655[/C][C]10.5807083333333[/C][C]1.00662338252075[/C][C]0.966689000077507[/C][/ROW]
[ROW][C]29[/C][C]10.383[/C][C]10.3944275718189[/C][C]10.5859583333333[/C][C]0.981907092822072[/C][C]0.998900605950644[/C][/ROW]
[ROW][C]30[/C][C]10.431[/C][C]10.4885675531870[/C][C]10.577625[/C][C]0.991580581953606[/C][C]0.994511399874664[/C][/ROW]
[ROW][C]31[/C][C]10.574[/C][C]10.5394264956843[/C][C]10.57775[/C][C]0.996376970119757[/C][C]1.00328039711932[/C][/ROW]
[ROW][C]32[/C][C]10.653[/C][C]10.5831030853914[/C][C]10.581375[/C][C]1.00016331387853[/C][C]1.00660457656366[/C][/ROW]
[ROW][C]33[/C][C]10.805[/C][C]10.4896869307468[/C][C]10.5686666666667[/C][C]0.992526991491844[/C][C]1.03005934031539[/C][/ROW]
[ROW][C]34[/C][C]10.872[/C][C]10.6900410819006[/C][C]10.5761666666667[/C][C]1.01076707835863[/C][C]1.01702134881478[/C][/ROW]
[ROW][C]35[/C][C]10.625[/C][C]10.6657375887935[/C][C]10.6335[/C][C]1.00303170064358[/C][C]0.996180518369747[/C][/ROW]
[ROW][C]36[/C][C]10.407[/C][C]10.7529494740506[/C][C]10.7120416666667[/C][C]1.00381886186191[/C][C]0.96782748074047[/C][/ROW]
[ROW][C]37[/C][C]10.463[/C][C]10.8959558681505[/C][C]10.7867083333333[/C][C]1.01012797708450[/C][C]0.960264535448786[/C][/ROW]
[ROW][C]38[/C][C]10.556[/C][C]10.8508891636919[/C][C]10.877875[/C][C]0.997519199631532[/C][C]0.972823502365264[/C][/ROW]
[ROW][C]39[/C][C]10.646[/C][C]11.0673681780744[/C][C]11.0062083333333[/C][C]1.0055568496333[/C][C]0.961926975655404[/C][/ROW]
[ROW][C]40[/C][C]10.702[/C][C]11.2438573548339[/C][C]11.169875[/C][C]1.00662338252075[/C][C]0.951808588660102[/C][/ROW]
[ROW][C]41[/C][C]11.353[/C][C]11.1864992933621[/C][C]11.392625[/C][C]0.981907092822072[/C][C]1.01488407608775[/C][/ROW]
[ROW][C]42[/C][C]11.346[/C][C]11.5993030684054[/C][C]11.6977916666667[/C][C]0.991580581953606[/C][C]0.978162216564947[/C][/ROW]
[ROW][C]43[/C][C]11.451[/C][C]12.0126528774205[/C][C]12.0563333333333[/C][C]0.996376970119757[/C][C]0.953244892435358[/C][/ROW]
[ROW][C]44[/C][C]11.964[/C][C]12.4249455013702[/C][C]12.4229166666667[/C][C]1.00016331387853[/C][C]0.962901607792218[/C][/ROW]
[ROW][C]45[/C][C]12.574[/C][C]12.7307715222441[/C][C]12.826625[/C][C]0.992526991491844[/C][C]0.987685622825753[/C][/ROW]
[ROW][C]46[/C][C]13.031[/C][C]13.4583636483452[/C][C]13.315[/C][C]1.01076707835863[/C][C]0.968245497037249[/C][/ROW]
[ROW][C]47[/C][C]13.812[/C][C]13.7806943281297[/C][C]13.7390416666667[/C][C]1.00303170064358[/C][C]1.00227170497545[/C][/ROW]
[ROW][C]48[/C][C]14.544[/C][C]14.1478230390817[/C][C]14.094[/C][C]1.00381886186191[/C][C]1.02800267997585[/C][/ROW]
[ROW][C]49[/C][C]14.931[/C][C]14.6194138576811[/C][C]14.4728333333333[/C][C]1.01012797708450[/C][C]1.02131317611993[/C][/ROW]
[ROW][C]50[/C][C]14.886[/C][C]14.7511892342511[/C][C]14.787875[/C][C]0.997519199631532[/C][C]1.00913897609257[/C][/ROW]
[ROW][C]51[/C][C]16.005[/C][C]15.1027097138549[/C][C]15.01925[/C][C]1.0055568496333[/C][C]1.05974360252169[/C][/ROW]
[ROW][C]52[/C][C]17.064[/C][C]15.3283156146938[/C][C]15.2274583333333[/C][C]1.00662338252075[/C][C]1.11323386267193[/C][/ROW]
[ROW][C]53[/C][C]15.168[/C][C]15.1201009327983[/C][C]15.3987083333333[/C][C]0.981907092822072[/C][C]1.00316790657778[/C][/ROW]
[ROW][C]54[/C][C]16.05[/C][C]15.3735066584663[/C][C]15.5040416666667[/C][C]0.991580581953606[/C][C]1.04400384092989[/C][/ROW]
[ROW][C]55[/C][C]15.839[/C][C]15.5496665742244[/C][C]15.6062083333333[/C][C]0.996376970119757[/C][C]1.01860705015085[/C][/ROW]
[ROW][C]56[/C][C]15.137[/C][C]15.7112321099465[/C][C]15.7086666666667[/C][C]1.00016331387853[/C][C]0.9634508543997[/C][/ROW]
[ROW][C]57[/C][C]14.954[/C][C]15.6412328589200[/C][C]15.759[/C][C]0.992526991491844[/C][C]0.956062743575354[/C][/ROW]
[ROW][C]58[/C][C]15.648[/C][C]15.8882055894244[/C][C]15.7189583333333[/C][C]1.01076707835863[/C][C]0.984881515532235[/C][/ROW]
[ROW][C]59[/C][C]15.305[/C][C]15.7422899906883[/C][C]15.6947083333333[/C][C]1.00303170064358[/C][C]0.97222195811747[/C][/ROW]
[ROW][C]60[/C][C]15.579[/C][C]15.7583667513673[/C][C]15.6984166666667[/C][C]1.00381886186191[/C][C]0.988617681375405[/C][/ROW]
[ROW][C]61[/C][C]16.348[/C][C]15.8316516075139[/C][C]15.6729166666667[/C][C]1.01012797708450[/C][C]1.03261494159213[/C][/ROW]
[ROW][C]62[/C][C]15.928[/C][C]15.6816252677075[/C][C]15.720625[/C][C]0.997519199631532[/C][C]1.01571104576768[/C][/ROW]
[ROW][C]63[/C][C]16.171[/C][C]15.9495561740545[/C][C]15.8614166666667[/C][C]1.0055568496333[/C][C]1.01388401178873[/C][/ROW]
[ROW][C]64[/C][C]15.937[/C][C]16.1395282330827[/C][C]16.0333333333333[/C][C]1.00662338252075[/C][C]0.98745141554587[/C][/ROW]
[ROW][C]65[/C][C]15.713[/C][C]15.9268603479383[/C][C]16.2203333333333[/C][C]0.981907092822072[/C][C]0.986572347388858[/C][/ROW]
[ROW][C]66[/C][C]15.594[/C][C]16.3421982553198[/C][C]16.4809583333333[/C][C]0.991580581953606[/C][C]0.954216792402684[/C][/ROW]
[ROW][C]67[/C][C]15.683[/C][C]NA[/C][C]NA[/C][C]0.996376970119757[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]16.438[/C][C]NA[/C][C]NA[/C][C]1.00016331387853[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]17.032[/C][C]NA[/C][C]NA[/C][C]0.992526991491844[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]17.696[/C][C]NA[/C][C]NA[/C][C]1.01076707835863[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]17.745[/C][C]NA[/C][C]NA[/C][C]1.00303170064358[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]19.394[/C][C]NA[/C][C]NA[/C][C]1.00381886186191[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12995&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12995&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
110.893NANA1.01012797708450NA
210.756NANA0.997519199631532NA
310.94NANA1.0055568496333NA
410.997NANA1.00662338252075NA
510.827NANA0.981907092822072NA
610.166NANA0.991580581953606NA
710.18610.551590597861110.58995833333330.9963769701197570.965352086543687
810.45710.560849451657610.5591251.000163313878530.990166562629928
910.36810.405611623509210.48395833333330.9925269914918440.996385448076478
1010.24410.499174565270510.38733333333331.010767078358630.975695749824504
1110.51110.331101137666310.2998751.003031700643581.01741332893140
1210.81210.287302999504410.24816666666671.003818861861911.05100433034011
1310.73810.349560809879210.24579166666671.010127977084501.03753194915769
1410.17110.244231237115910.26970833333330.9975191996315320.992851465822968
159.72110.344959378017010.28779166666671.00555684963330.939684695201128
169.89710.377322393047310.30904166666671.006623382520750.95371422657456
179.82810.147723414747410.33470833333330.9819070928220720.968493089367933
189.92410.243936360447510.33091666666670.9915805819536060.968768220614603
1910.37110.265132218951710.30245833333330.9963769701197571.01031333827857
2010.84610.305099357604610.30341666666671.000163313878531.05248863922852
2110.41310.293207941722710.37070833333330.9925269914918441.01163797126761
2210.70910.547649269736810.43529166666671.010767078358631.01529731659983
2310.66210.506798857229010.47504166666671.003031700643581.01477149652144
2410.5710.559463388426810.51929166666671.003818861861911.00099783589238
2510.29710.655713764267210.5488751.010127977084500.966336017257696
2610.63510.523120980012910.54929166666670.9975191996315321.01063173370330
2710.87210.616250236407710.55758333333331.00555684963331.02409040460588
2810.29610.650788411965510.58070833333331.006623382520750.966689000077507
2910.38310.394427571818910.58595833333330.9819070928220720.998900605950644
3010.43110.488567553187010.5776250.9915805819536060.994511399874664
3110.57410.539426495684310.577750.9963769701197571.00328039711932
3210.65310.583103085391410.5813751.000163313878531.00660457656366
3310.80510.489686930746810.56866666666670.9925269914918441.03005934031539
3410.87210.690041081900610.57616666666671.010767078358631.01702134881478
3510.62510.665737588793510.63351.003031700643580.996180518369747
3610.40710.752949474050610.71204166666671.003818861861910.96782748074047
3710.46310.895955868150510.78670833333331.010127977084500.960264535448786
3810.55610.850889163691910.8778750.9975191996315320.972823502365264
3910.64611.067368178074411.00620833333331.00555684963330.961926975655404
4010.70211.243857354833911.1698751.006623382520750.951808588660102
4111.35311.186499293362111.3926250.9819070928220721.01488407608775
4211.34611.599303068405411.69779166666670.9915805819536060.978162216564947
4311.45112.012652877420512.05633333333330.9963769701197570.953244892435358
4411.96412.424945501370212.42291666666671.000163313878530.962901607792218
4512.57412.730771522244112.8266250.9925269914918440.987685622825753
4613.03113.458363648345213.3151.010767078358630.968245497037249
4713.81213.780694328129713.73904166666671.003031700643581.00227170497545
4814.54414.147823039081714.0941.003818861861911.02800267997585
4914.93114.619413857681114.47283333333331.010127977084501.02131317611993
5014.88614.751189234251114.7878750.9975191996315321.00913897609257
5116.00515.102709713854915.019251.00555684963331.05974360252169
5217.06415.328315614693815.22745833333331.006623382520751.11323386267193
5315.16815.120100932798315.39870833333330.9819070928220721.00316790657778
5416.0515.373506658466315.50404166666670.9915805819536061.04400384092989
5515.83915.549666574224415.60620833333330.9963769701197571.01860705015085
5615.13715.711232109946515.70866666666671.000163313878530.9634508543997
5714.95415.641232858920015.7590.9925269914918440.956062743575354
5815.64815.888205589424415.71895833333331.010767078358630.984881515532235
5915.30515.742289990688315.69470833333331.003031700643580.97222195811747
6015.57915.758366751367315.69841666666671.003818861861910.988617681375405
6116.34815.831651607513915.67291666666671.010127977084501.03261494159213
6215.92815.681625267707515.7206250.9975191996315321.01571104576768
6316.17115.949556174054515.86141666666671.00555684963331.01388401178873
6415.93716.139528233082716.03333333333331.006623382520750.98745141554587
6515.71315.926860347938316.22033333333330.9819070928220720.986572347388858
6615.59416.342198255319816.48095833333330.9915805819536060.954216792402684
6715.683NANA0.996376970119757NA
6816.438NANA1.00016331387853NA
6917.032NANA0.992526991491844NA
7017.696NANA1.01076707835863NA
7117.745NANA1.00303170064358NA
7219.394NANA1.00381886186191NA



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')