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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 14:10:17 -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/t1336155151ah9rkfi6ckx8fjd.htm/, Retrieved Fri, 03 May 2024 11:50:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166213, Retrieved Fri, 03 May 2024 11:50:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Decompositie gemi...] [2012-05-04 18:10:17] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
62.11
62.15
62.2
62.22
62.02
62.02
62.02
62.07
62.31
62.71
62.77
62.82
62.82
62.82
62.55
62.6
62.47
62.47
62.47
62.72
63.13
64.09
64.31
64.29
64.29
64.29
64.35
64.42
64.24
64.23
64.23
64.2
65.35
65.83
66.15
66.19
66.19
66.56
66.59
66.48
66.4
66.4
66.4
66.49
66.65
67.69
67.91
68.14
68.14
68.16
67.94
68
68.1
68.12
68.12
68.24
68.42
68.97
69.13
69.2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166213&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166213&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166213&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
162.11NANA1.00478919792486NA
262.15NANA1.00430763540694NA
362.2NANA1.00081225712121NA
462.22NANA0.999120109477847NA
562.02NANA0.995964604177227NA
662.02NANA0.993981590996048NA
762.0261.809379670722762.31458333333330.9918926897110391.00340757875907
862.0761.834740276968462.37208333333330.9913848788168061.00380465288571
962.3162.233515234247262.41458333333330.9970989456403311.0012289963931
1062.7162.840734131630362.4451.006337322950280.997919595729794
1162.7762.952582115780762.47958333333331.007570453533980.997099688215411
1262.8262.938468120582762.51708333333331.006740314243430.99811771522059
1362.8262.854169614023962.55458333333331.004789197924860.999456366789448
1462.8262.870076437989462.60041666666671.004307635406940.99920349328605
1562.5562.712564051643462.66166666666671.000812257121210.997407791339713
1662.662.698117270099862.75333333333330.9991201094778470.998435084267727
1762.4762.621274487643162.8750.9959646041772270.997584295610704
1862.4762.621254391747363.00041666666670.9939815909960480.997584615747218
1962.4762.611159594905763.12291666666670.9918926897110390.997745456308124
2062.7262.700549737801763.24541666666670.9913848788168061.00031020879848
2163.1363.197793006260263.38166666666670.9970989456403310.998927288390379
2264.0963.935125970338863.53251.006337322950281.00242236215712
2364.3164.164185586155363.68208333333331.007570453533981.00227252029325
2464.2964.259395307896363.82916666666671.006740314243431.0004762679754
2564.2964.282226261574663.97583333333331.004789197924861.00012093138146
2664.2964.386999428968664.11083333333331.004307635406940.998493493565023
2764.3564.317199703894464.2651.000812257121211.00050997705523
2864.4264.373308653657764.430.9991201094778471.00072532152407
2964.2464.318564167261864.57916666666670.9959646041772270.998778514908114
3064.2364.345398293129264.7350.9939815909960480.998206580482982
3164.2364.36722294431564.89333333333330.9918926897110390.997868123898499
3264.264.506522525379665.06708333333330.9913848788168060.995248193308529
3365.3565.065691697759865.2550.9970989456403311.00436955782413
3465.8365.848844112815965.43416666666671.006337322950280.999713827735782
3566.1566.106697456364465.611.007570453533981.0006550401896
3666.1966.233864749206265.79041666666671.006740314243430.999337729281353
3766.1966.287199373600565.971251.004789197924860.998533662991965
3866.5666.442063927920166.15708333333331.004307635406941.00177502120054
3966.5966.360524728850366.30666666666671.000812257121211.00345800868946
4066.4866.379874873525766.43833333333330.9991201094778471.00150836570067
4166.466.32045302165866.58916666666670.9959646041772271.0011994335792
4266.466.342058814042566.743750.9939815909960481.00087337033238
4366.466.363820270979266.906250.9918926897110391.00054517248816
4466.4966.476486894995267.05416666666670.9913848788168061.00020327646114
4566.6566.982198962859367.17708333333330.9970989456403310.995040488846246
4667.6967.723147376810867.29666666666671.006337322950280.999510545831157
4767.9167.941315323840867.43083333333331.007570453533980.999539082755588
4868.1468.028798834476167.57333333333331.006740314243431.00163461897651
4968.1468.040975186145267.71666666666671.004789197924861.00145537029097
5068.1668.153571523259467.861251.004307635406941.00009432340224
5167.9468.063156581277768.00791666666671.000812257121210.998190554369446
526868.075048659273168.1350.9991201094778470.998897559961378
5368.167.963794618550568.23916666666670.9959646041772271.00200408735583
5468.1267.922903702722568.33416666666670.9939815909960481.00290176489127
5568.12NANA0.991892689711039NA
5668.24NANA0.991384878816806NA
5768.42NANA0.997098945640331NA
5868.97NANA1.00633732295028NA
5969.13NANA1.00757045353398NA
6069.2NANA1.00674031424343NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 62.11 & NA & NA & 1.00478919792486 & NA \tabularnewline
2 & 62.15 & NA & NA & 1.00430763540694 & NA \tabularnewline
3 & 62.2 & NA & NA & 1.00081225712121 & NA \tabularnewline
4 & 62.22 & NA & NA & 0.999120109477847 & NA \tabularnewline
5 & 62.02 & NA & NA & 0.995964604177227 & NA \tabularnewline
6 & 62.02 & NA & NA & 0.993981590996048 & NA \tabularnewline
7 & 62.02 & 61.8093796707227 & 62.3145833333333 & 0.991892689711039 & 1.00340757875907 \tabularnewline
8 & 62.07 & 61.8347402769684 & 62.3720833333333 & 0.991384878816806 & 1.00380465288571 \tabularnewline
9 & 62.31 & 62.2335152342472 & 62.4145833333333 & 0.997098945640331 & 1.0012289963931 \tabularnewline
10 & 62.71 & 62.8407341316303 & 62.445 & 1.00633732295028 & 0.997919595729794 \tabularnewline
11 & 62.77 & 62.9525821157807 & 62.4795833333333 & 1.00757045353398 & 0.997099688215411 \tabularnewline
12 & 62.82 & 62.9384681205827 & 62.5170833333333 & 1.00674031424343 & 0.99811771522059 \tabularnewline
13 & 62.82 & 62.8541696140239 & 62.5545833333333 & 1.00478919792486 & 0.999456366789448 \tabularnewline
14 & 62.82 & 62.8700764379894 & 62.6004166666667 & 1.00430763540694 & 0.99920349328605 \tabularnewline
15 & 62.55 & 62.7125640516434 & 62.6616666666667 & 1.00081225712121 & 0.997407791339713 \tabularnewline
16 & 62.6 & 62.6981172700998 & 62.7533333333333 & 0.999120109477847 & 0.998435084267727 \tabularnewline
17 & 62.47 & 62.6212744876431 & 62.875 & 0.995964604177227 & 0.997584295610704 \tabularnewline
18 & 62.47 & 62.6212543917473 & 63.0004166666667 & 0.993981590996048 & 0.997584615747218 \tabularnewline
19 & 62.47 & 62.6111595949057 & 63.1229166666667 & 0.991892689711039 & 0.997745456308124 \tabularnewline
20 & 62.72 & 62.7005497378017 & 63.2454166666667 & 0.991384878816806 & 1.00031020879848 \tabularnewline
21 & 63.13 & 63.1977930062602 & 63.3816666666667 & 0.997098945640331 & 0.998927288390379 \tabularnewline
22 & 64.09 & 63.9351259703388 & 63.5325 & 1.00633732295028 & 1.00242236215712 \tabularnewline
23 & 64.31 & 64.1641855861553 & 63.6820833333333 & 1.00757045353398 & 1.00227252029325 \tabularnewline
24 & 64.29 & 64.2593953078963 & 63.8291666666667 & 1.00674031424343 & 1.0004762679754 \tabularnewline
25 & 64.29 & 64.2822262615746 & 63.9758333333333 & 1.00478919792486 & 1.00012093138146 \tabularnewline
26 & 64.29 & 64.3869994289686 & 64.1108333333333 & 1.00430763540694 & 0.998493493565023 \tabularnewline
27 & 64.35 & 64.3171997038944 & 64.265 & 1.00081225712121 & 1.00050997705523 \tabularnewline
28 & 64.42 & 64.3733086536577 & 64.43 & 0.999120109477847 & 1.00072532152407 \tabularnewline
29 & 64.24 & 64.3185641672618 & 64.5791666666667 & 0.995964604177227 & 0.998778514908114 \tabularnewline
30 & 64.23 & 64.3453982931292 & 64.735 & 0.993981590996048 & 0.998206580482982 \tabularnewline
31 & 64.23 & 64.367222944315 & 64.8933333333333 & 0.991892689711039 & 0.997868123898499 \tabularnewline
32 & 64.2 & 64.5065225253796 & 65.0670833333333 & 0.991384878816806 & 0.995248193308529 \tabularnewline
33 & 65.35 & 65.0656916977598 & 65.255 & 0.997098945640331 & 1.00436955782413 \tabularnewline
34 & 65.83 & 65.8488441128159 & 65.4341666666667 & 1.00633732295028 & 0.999713827735782 \tabularnewline
35 & 66.15 & 66.1066974563644 & 65.61 & 1.00757045353398 & 1.0006550401896 \tabularnewline
36 & 66.19 & 66.2338647492062 & 65.7904166666667 & 1.00674031424343 & 0.999337729281353 \tabularnewline
37 & 66.19 & 66.2871993736005 & 65.97125 & 1.00478919792486 & 0.998533662991965 \tabularnewline
38 & 66.56 & 66.4420639279201 & 66.1570833333333 & 1.00430763540694 & 1.00177502120054 \tabularnewline
39 & 66.59 & 66.3605247288503 & 66.3066666666667 & 1.00081225712121 & 1.00345800868946 \tabularnewline
40 & 66.48 & 66.3798748735257 & 66.4383333333333 & 0.999120109477847 & 1.00150836570067 \tabularnewline
41 & 66.4 & 66.320453021658 & 66.5891666666667 & 0.995964604177227 & 1.0011994335792 \tabularnewline
42 & 66.4 & 66.3420588140425 & 66.74375 & 0.993981590996048 & 1.00087337033238 \tabularnewline
43 & 66.4 & 66.3638202709792 & 66.90625 & 0.991892689711039 & 1.00054517248816 \tabularnewline
44 & 66.49 & 66.4764868949952 & 67.0541666666667 & 0.991384878816806 & 1.00020327646114 \tabularnewline
45 & 66.65 & 66.9821989628593 & 67.1770833333333 & 0.997098945640331 & 0.995040488846246 \tabularnewline
46 & 67.69 & 67.7231473768108 & 67.2966666666667 & 1.00633732295028 & 0.999510545831157 \tabularnewline
47 & 67.91 & 67.9413153238408 & 67.4308333333333 & 1.00757045353398 & 0.999539082755588 \tabularnewline
48 & 68.14 & 68.0287988344761 & 67.5733333333333 & 1.00674031424343 & 1.00163461897651 \tabularnewline
49 & 68.14 & 68.0409751861452 & 67.7166666666667 & 1.00478919792486 & 1.00145537029097 \tabularnewline
50 & 68.16 & 68.1535715232594 & 67.86125 & 1.00430763540694 & 1.00009432340224 \tabularnewline
51 & 67.94 & 68.0631565812777 & 68.0079166666667 & 1.00081225712121 & 0.998190554369446 \tabularnewline
52 & 68 & 68.0750486592731 & 68.135 & 0.999120109477847 & 0.998897559961378 \tabularnewline
53 & 68.1 & 67.9637946185505 & 68.2391666666667 & 0.995964604177227 & 1.00200408735583 \tabularnewline
54 & 68.12 & 67.9229037027225 & 68.3341666666667 & 0.993981590996048 & 1.00290176489127 \tabularnewline
55 & 68.12 & NA & NA & 0.991892689711039 & NA \tabularnewline
56 & 68.24 & NA & NA & 0.991384878816806 & NA \tabularnewline
57 & 68.42 & NA & NA & 0.997098945640331 & NA \tabularnewline
58 & 68.97 & NA & NA & 1.00633732295028 & NA \tabularnewline
59 & 69.13 & NA & NA & 1.00757045353398 & NA \tabularnewline
60 & 69.2 & NA & NA & 1.00674031424343 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166213&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]62.11[/C][C]NA[/C][C]NA[/C][C]1.00478919792486[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]62.15[/C][C]NA[/C][C]NA[/C][C]1.00430763540694[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]62.2[/C][C]NA[/C][C]NA[/C][C]1.00081225712121[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]62.22[/C][C]NA[/C][C]NA[/C][C]0.999120109477847[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]62.02[/C][C]NA[/C][C]NA[/C][C]0.995964604177227[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]62.02[/C][C]NA[/C][C]NA[/C][C]0.993981590996048[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]62.02[/C][C]61.8093796707227[/C][C]62.3145833333333[/C][C]0.991892689711039[/C][C]1.00340757875907[/C][/ROW]
[ROW][C]8[/C][C]62.07[/C][C]61.8347402769684[/C][C]62.3720833333333[/C][C]0.991384878816806[/C][C]1.00380465288571[/C][/ROW]
[ROW][C]9[/C][C]62.31[/C][C]62.2335152342472[/C][C]62.4145833333333[/C][C]0.997098945640331[/C][C]1.0012289963931[/C][/ROW]
[ROW][C]10[/C][C]62.71[/C][C]62.8407341316303[/C][C]62.445[/C][C]1.00633732295028[/C][C]0.997919595729794[/C][/ROW]
[ROW][C]11[/C][C]62.77[/C][C]62.9525821157807[/C][C]62.4795833333333[/C][C]1.00757045353398[/C][C]0.997099688215411[/C][/ROW]
[ROW][C]12[/C][C]62.82[/C][C]62.9384681205827[/C][C]62.5170833333333[/C][C]1.00674031424343[/C][C]0.99811771522059[/C][/ROW]
[ROW][C]13[/C][C]62.82[/C][C]62.8541696140239[/C][C]62.5545833333333[/C][C]1.00478919792486[/C][C]0.999456366789448[/C][/ROW]
[ROW][C]14[/C][C]62.82[/C][C]62.8700764379894[/C][C]62.6004166666667[/C][C]1.00430763540694[/C][C]0.99920349328605[/C][/ROW]
[ROW][C]15[/C][C]62.55[/C][C]62.7125640516434[/C][C]62.6616666666667[/C][C]1.00081225712121[/C][C]0.997407791339713[/C][/ROW]
[ROW][C]16[/C][C]62.6[/C][C]62.6981172700998[/C][C]62.7533333333333[/C][C]0.999120109477847[/C][C]0.998435084267727[/C][/ROW]
[ROW][C]17[/C][C]62.47[/C][C]62.6212744876431[/C][C]62.875[/C][C]0.995964604177227[/C][C]0.997584295610704[/C][/ROW]
[ROW][C]18[/C][C]62.47[/C][C]62.6212543917473[/C][C]63.0004166666667[/C][C]0.993981590996048[/C][C]0.997584615747218[/C][/ROW]
[ROW][C]19[/C][C]62.47[/C][C]62.6111595949057[/C][C]63.1229166666667[/C][C]0.991892689711039[/C][C]0.997745456308124[/C][/ROW]
[ROW][C]20[/C][C]62.72[/C][C]62.7005497378017[/C][C]63.2454166666667[/C][C]0.991384878816806[/C][C]1.00031020879848[/C][/ROW]
[ROW][C]21[/C][C]63.13[/C][C]63.1977930062602[/C][C]63.3816666666667[/C][C]0.997098945640331[/C][C]0.998927288390379[/C][/ROW]
[ROW][C]22[/C][C]64.09[/C][C]63.9351259703388[/C][C]63.5325[/C][C]1.00633732295028[/C][C]1.00242236215712[/C][/ROW]
[ROW][C]23[/C][C]64.31[/C][C]64.1641855861553[/C][C]63.6820833333333[/C][C]1.00757045353398[/C][C]1.00227252029325[/C][/ROW]
[ROW][C]24[/C][C]64.29[/C][C]64.2593953078963[/C][C]63.8291666666667[/C][C]1.00674031424343[/C][C]1.0004762679754[/C][/ROW]
[ROW][C]25[/C][C]64.29[/C][C]64.2822262615746[/C][C]63.9758333333333[/C][C]1.00478919792486[/C][C]1.00012093138146[/C][/ROW]
[ROW][C]26[/C][C]64.29[/C][C]64.3869994289686[/C][C]64.1108333333333[/C][C]1.00430763540694[/C][C]0.998493493565023[/C][/ROW]
[ROW][C]27[/C][C]64.35[/C][C]64.3171997038944[/C][C]64.265[/C][C]1.00081225712121[/C][C]1.00050997705523[/C][/ROW]
[ROW][C]28[/C][C]64.42[/C][C]64.3733086536577[/C][C]64.43[/C][C]0.999120109477847[/C][C]1.00072532152407[/C][/ROW]
[ROW][C]29[/C][C]64.24[/C][C]64.3185641672618[/C][C]64.5791666666667[/C][C]0.995964604177227[/C][C]0.998778514908114[/C][/ROW]
[ROW][C]30[/C][C]64.23[/C][C]64.3453982931292[/C][C]64.735[/C][C]0.993981590996048[/C][C]0.998206580482982[/C][/ROW]
[ROW][C]31[/C][C]64.23[/C][C]64.367222944315[/C][C]64.8933333333333[/C][C]0.991892689711039[/C][C]0.997868123898499[/C][/ROW]
[ROW][C]32[/C][C]64.2[/C][C]64.5065225253796[/C][C]65.0670833333333[/C][C]0.991384878816806[/C][C]0.995248193308529[/C][/ROW]
[ROW][C]33[/C][C]65.35[/C][C]65.0656916977598[/C][C]65.255[/C][C]0.997098945640331[/C][C]1.00436955782413[/C][/ROW]
[ROW][C]34[/C][C]65.83[/C][C]65.8488441128159[/C][C]65.4341666666667[/C][C]1.00633732295028[/C][C]0.999713827735782[/C][/ROW]
[ROW][C]35[/C][C]66.15[/C][C]66.1066974563644[/C][C]65.61[/C][C]1.00757045353398[/C][C]1.0006550401896[/C][/ROW]
[ROW][C]36[/C][C]66.19[/C][C]66.2338647492062[/C][C]65.7904166666667[/C][C]1.00674031424343[/C][C]0.999337729281353[/C][/ROW]
[ROW][C]37[/C][C]66.19[/C][C]66.2871993736005[/C][C]65.97125[/C][C]1.00478919792486[/C][C]0.998533662991965[/C][/ROW]
[ROW][C]38[/C][C]66.56[/C][C]66.4420639279201[/C][C]66.1570833333333[/C][C]1.00430763540694[/C][C]1.00177502120054[/C][/ROW]
[ROW][C]39[/C][C]66.59[/C][C]66.3605247288503[/C][C]66.3066666666667[/C][C]1.00081225712121[/C][C]1.00345800868946[/C][/ROW]
[ROW][C]40[/C][C]66.48[/C][C]66.3798748735257[/C][C]66.4383333333333[/C][C]0.999120109477847[/C][C]1.00150836570067[/C][/ROW]
[ROW][C]41[/C][C]66.4[/C][C]66.320453021658[/C][C]66.5891666666667[/C][C]0.995964604177227[/C][C]1.0011994335792[/C][/ROW]
[ROW][C]42[/C][C]66.4[/C][C]66.3420588140425[/C][C]66.74375[/C][C]0.993981590996048[/C][C]1.00087337033238[/C][/ROW]
[ROW][C]43[/C][C]66.4[/C][C]66.3638202709792[/C][C]66.90625[/C][C]0.991892689711039[/C][C]1.00054517248816[/C][/ROW]
[ROW][C]44[/C][C]66.49[/C][C]66.4764868949952[/C][C]67.0541666666667[/C][C]0.991384878816806[/C][C]1.00020327646114[/C][/ROW]
[ROW][C]45[/C][C]66.65[/C][C]66.9821989628593[/C][C]67.1770833333333[/C][C]0.997098945640331[/C][C]0.995040488846246[/C][/ROW]
[ROW][C]46[/C][C]67.69[/C][C]67.7231473768108[/C][C]67.2966666666667[/C][C]1.00633732295028[/C][C]0.999510545831157[/C][/ROW]
[ROW][C]47[/C][C]67.91[/C][C]67.9413153238408[/C][C]67.4308333333333[/C][C]1.00757045353398[/C][C]0.999539082755588[/C][/ROW]
[ROW][C]48[/C][C]68.14[/C][C]68.0287988344761[/C][C]67.5733333333333[/C][C]1.00674031424343[/C][C]1.00163461897651[/C][/ROW]
[ROW][C]49[/C][C]68.14[/C][C]68.0409751861452[/C][C]67.7166666666667[/C][C]1.00478919792486[/C][C]1.00145537029097[/C][/ROW]
[ROW][C]50[/C][C]68.16[/C][C]68.1535715232594[/C][C]67.86125[/C][C]1.00430763540694[/C][C]1.00009432340224[/C][/ROW]
[ROW][C]51[/C][C]67.94[/C][C]68.0631565812777[/C][C]68.0079166666667[/C][C]1.00081225712121[/C][C]0.998190554369446[/C][/ROW]
[ROW][C]52[/C][C]68[/C][C]68.0750486592731[/C][C]68.135[/C][C]0.999120109477847[/C][C]0.998897559961378[/C][/ROW]
[ROW][C]53[/C][C]68.1[/C][C]67.9637946185505[/C][C]68.2391666666667[/C][C]0.995964604177227[/C][C]1.00200408735583[/C][/ROW]
[ROW][C]54[/C][C]68.12[/C][C]67.9229037027225[/C][C]68.3341666666667[/C][C]0.993981590996048[/C][C]1.00290176489127[/C][/ROW]
[ROW][C]55[/C][C]68.12[/C][C]NA[/C][C]NA[/C][C]0.991892689711039[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]68.24[/C][C]NA[/C][C]NA[/C][C]0.991384878816806[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]68.42[/C][C]NA[/C][C]NA[/C][C]0.997098945640331[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]68.97[/C][C]NA[/C][C]NA[/C][C]1.00633732295028[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]69.13[/C][C]NA[/C][C]NA[/C][C]1.00757045353398[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]69.2[/C][C]NA[/C][C]NA[/C][C]1.00674031424343[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166213&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166213&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
162.11NANA1.00478919792486NA
262.15NANA1.00430763540694NA
362.2NANA1.00081225712121NA
462.22NANA0.999120109477847NA
562.02NANA0.995964604177227NA
662.02NANA0.993981590996048NA
762.0261.809379670722762.31458333333330.9918926897110391.00340757875907
862.0761.834740276968462.37208333333330.9913848788168061.00380465288571
962.3162.233515234247262.41458333333330.9970989456403311.0012289963931
1062.7162.840734131630362.4451.006337322950280.997919595729794
1162.7762.952582115780762.47958333333331.007570453533980.997099688215411
1262.8262.938468120582762.51708333333331.006740314243430.99811771522059
1362.8262.854169614023962.55458333333331.004789197924860.999456366789448
1462.8262.870076437989462.60041666666671.004307635406940.99920349328605
1562.5562.712564051643462.66166666666671.000812257121210.997407791339713
1662.662.698117270099862.75333333333330.9991201094778470.998435084267727
1762.4762.621274487643162.8750.9959646041772270.997584295610704
1862.4762.621254391747363.00041666666670.9939815909960480.997584615747218
1962.4762.611159594905763.12291666666670.9918926897110390.997745456308124
2062.7262.700549737801763.24541666666670.9913848788168061.00031020879848
2163.1363.197793006260263.38166666666670.9970989456403310.998927288390379
2264.0963.935125970338863.53251.006337322950281.00242236215712
2364.3164.164185586155363.68208333333331.007570453533981.00227252029325
2464.2964.259395307896363.82916666666671.006740314243431.0004762679754
2564.2964.282226261574663.97583333333331.004789197924861.00012093138146
2664.2964.386999428968664.11083333333331.004307635406940.998493493565023
2764.3564.317199703894464.2651.000812257121211.00050997705523
2864.4264.373308653657764.430.9991201094778471.00072532152407
2964.2464.318564167261864.57916666666670.9959646041772270.998778514908114
3064.2364.345398293129264.7350.9939815909960480.998206580482982
3164.2364.36722294431564.89333333333330.9918926897110390.997868123898499
3264.264.506522525379665.06708333333330.9913848788168060.995248193308529
3365.3565.065691697759865.2550.9970989456403311.00436955782413
3465.8365.848844112815965.43416666666671.006337322950280.999713827735782
3566.1566.106697456364465.611.007570453533981.0006550401896
3666.1966.233864749206265.79041666666671.006740314243430.999337729281353
3766.1966.287199373600565.971251.004789197924860.998533662991965
3866.5666.442063927920166.15708333333331.004307635406941.00177502120054
3966.5966.360524728850366.30666666666671.000812257121211.00345800868946
4066.4866.379874873525766.43833333333330.9991201094778471.00150836570067
4166.466.32045302165866.58916666666670.9959646041772271.0011994335792
4266.466.342058814042566.743750.9939815909960481.00087337033238
4366.466.363820270979266.906250.9918926897110391.00054517248816
4466.4966.476486894995267.05416666666670.9913848788168061.00020327646114
4566.6566.982198962859367.17708333333330.9970989456403310.995040488846246
4667.6967.723147376810867.29666666666671.006337322950280.999510545831157
4767.9167.941315323840867.43083333333331.007570453533980.999539082755588
4868.1468.028798834476167.57333333333331.006740314243431.00163461897651
4968.1468.040975186145267.71666666666671.004789197924861.00145537029097
5068.1668.153571523259467.861251.004307635406941.00009432340224
5167.9468.063156581277768.00791666666671.000812257121210.998190554369446
526868.075048659273168.1350.9991201094778470.998897559961378
5368.167.963794618550568.23916666666670.9959646041772271.00200408735583
5468.1267.922903702722568.33416666666670.9939815909960481.00290176489127
5568.12NANA0.991892689711039NA
5668.24NANA0.991384878816806NA
5768.42NANA0.997098945640331NA
5868.97NANA1.00633732295028NA
5969.13NANA1.00757045353398NA
6069.2NANA1.00674031424343NA



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')