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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 21 Dec 2009 15:08:02 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/21/t1261433330czdgder54880y4b.htm/, Retrieved Sun, 05 May 2024 18:39:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70409, Retrieved Sun, 05 May 2024 18:39:51 +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)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
- R PD      [Classical Decomposition] [Paper] [2009-12-21 22:08:02] [e339dd08bcbfc073ac7494f09a949034] [Current]
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Dataseries X:
25.6
23.7
22
21.3
20.7
20.4
20.3
20.4
19.8
19.5
23.1
23.5
23.5
22.9
21.9
21.5
20.5
20.2
19.4
19.2
18.8
18.8
22.6
23.3
23
21.4
19.9
18.8
18.6
18.4
18.6
19.9
19.2
18.4
21.1
20.5
19.1
18.1
17
17.1
17.4
16.8
15.3
14.3
13.4
15.3
22.1
23.7
22.2
19.5
16.6
17.3
19.8
21.2
21.5
20.6
19.1
19.6
23.5
24




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70409&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70409&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70409&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' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
125.6NANA1.12034415488227NA
223.7NANA1.04253957080632NA
322NANA0.960252958391418NA
421.3NANA0.953716807272655NA
520.7NANA0.974840929211212NA
620.4NANA0.976292136523275NA
720.319.937761882068021.60416666666670.9228665094881991.01816844438582
820.419.936749511993721.48333333333330.9280100626218961.02323600884525
919.819.28722758907821.44583333333330.8993461475381221.02658611293685
1019.519.663919788859821.450.9167328572895010.99166393116836
1123.124.436377780458621.451.139225071350050.945311952840766
1223.524.987682898130921.43333333333331.165832794625080.940463351316094
1323.523.961360612544621.38751.120344154882270.980745642119212
1422.922.206092858174721.31.042539570806321.03124850221321
1521.920.365364825884621.20833333333330.9602529583914181.07535515259539
1621.520.159189013725721.13750.9537168072726551.06651115703917
1720.520.556958094741421.08750.9748409292112120.997229254713712
1820.220.559085241619321.05833333333330.9762921365232750.982533987412418
1919.419.407113639112321.02916666666670.9228665094881990.999633451978252
2019.219.437944103334520.94583333333330.9280100626218960.987758782406744
2118.818.706399868792920.80.8993461475381221.00500364216865
2218.818.888516580402420.60416666666670.9167328572895010.995313735727968
2322.623.254431768932920.41251.139225071350050.971857761331877
2423.323.617829364446420.25833333333331.165832794625080.986542820699483
252322.574934720877820.151.120344154882271.01882908120789
2621.421.002828436869020.14583333333331.042539570806321.01891038458581
2719.919.389107651520020.19166666666670.9602529583914181.02634945133434
2818.819.257131866847020.19166666666670.9537168072726550.976261684761373
2918.619.606488188760520.11250.9748409292112120.94866555504124
3018.419.460756588030619.93333333333330.9762921365232750.945492530918195
3118.618.138172188566019.65416666666670.9228665094881991.02546165107668
3219.917.960861420327919.35416666666670.9280100626218961.10796467576312
3319.217.173764142363419.09583333333330.8993461475381221.11798437668294
3418.417.330070723010318.90416666666670.9167328572895011.06173830990598
3521.121.398444256858418.78333333333331.139225071350050.986052992765454
3620.521.762212166334818.66666666666671.165832794625080.94199982259674
3719.120.684353959513918.46251.120344154882270.923403265936417
3818.118.861278401837718.09166666666671.042539570806320.95963802741157
391716.916456283662117.61666666666670.9602529583914181.00493860622680
4017.116.44764110542317.24583333333330.9537168072726551.03966276321301
4117.416.726645610382417.15833333333330.9748409292112121.04025639122764
4216.816.922397033070117.33333333333330.9762921365232750.992767157464105
4315.316.238605289869417.59583333333330.9228665094881990.94219914376175
4414.316.503112280292717.78333333333330.9280100626218960.866503224187381
4513.416.030845079867017.8250.8993461475381220.835888559414058
4615.316.333123740707917.81666666666670.9167328572895010.936746714400196
4722.120.420609403949717.9251.139225071350051.08223998426440
4823.721.227872135465018.20833333333331.165832794625081.11645669659018
4922.220.894418488554318.651.120344154882271.06248470193898
5019.519.986352355332919.17083333333331.042539570806320.975665776991913
5116.618.888975902357819.67083333333330.9602529583914180.878819481045973
5217.319.157786366089520.08750.9537168072726550.903027086188942
5319.819.813641886217920.3250.9748409292112120.99931149021991
5421.219.912291701172620.39583333333330.9762921365232751.06466901540778
5521.5NANA0.922866509488199NA
5620.6NANA0.928010062621896NA
5719.1NANA0.899346147538122NA
5819.6NANA0.916732857289501NA
5923.5NANA1.13922507135005NA
6024NANA1.16583279462508NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 25.6 & NA & NA & 1.12034415488227 & NA \tabularnewline
2 & 23.7 & NA & NA & 1.04253957080632 & NA \tabularnewline
3 & 22 & NA & NA & 0.960252958391418 & NA \tabularnewline
4 & 21.3 & NA & NA & 0.953716807272655 & NA \tabularnewline
5 & 20.7 & NA & NA & 0.974840929211212 & NA \tabularnewline
6 & 20.4 & NA & NA & 0.976292136523275 & NA \tabularnewline
7 & 20.3 & 19.9377618820680 & 21.6041666666667 & 0.922866509488199 & 1.01816844438582 \tabularnewline
8 & 20.4 & 19.9367495119937 & 21.4833333333333 & 0.928010062621896 & 1.02323600884525 \tabularnewline
9 & 19.8 & 19.287227589078 & 21.4458333333333 & 0.899346147538122 & 1.02658611293685 \tabularnewline
10 & 19.5 & 19.6639197888598 & 21.45 & 0.916732857289501 & 0.99166393116836 \tabularnewline
11 & 23.1 & 24.4363777804586 & 21.45 & 1.13922507135005 & 0.945311952840766 \tabularnewline
12 & 23.5 & 24.9876828981309 & 21.4333333333333 & 1.16583279462508 & 0.940463351316094 \tabularnewline
13 & 23.5 & 23.9613606125446 & 21.3875 & 1.12034415488227 & 0.980745642119212 \tabularnewline
14 & 22.9 & 22.2060928581747 & 21.3 & 1.04253957080632 & 1.03124850221321 \tabularnewline
15 & 21.9 & 20.3653648258846 & 21.2083333333333 & 0.960252958391418 & 1.07535515259539 \tabularnewline
16 & 21.5 & 20.1591890137257 & 21.1375 & 0.953716807272655 & 1.06651115703917 \tabularnewline
17 & 20.5 & 20.5569580947414 & 21.0875 & 0.974840929211212 & 0.997229254713712 \tabularnewline
18 & 20.2 & 20.5590852416193 & 21.0583333333333 & 0.976292136523275 & 0.982533987412418 \tabularnewline
19 & 19.4 & 19.4071136391123 & 21.0291666666667 & 0.922866509488199 & 0.999633451978252 \tabularnewline
20 & 19.2 & 19.4379441033345 & 20.9458333333333 & 0.928010062621896 & 0.987758782406744 \tabularnewline
21 & 18.8 & 18.7063998687929 & 20.8 & 0.899346147538122 & 1.00500364216865 \tabularnewline
22 & 18.8 & 18.8885165804024 & 20.6041666666667 & 0.916732857289501 & 0.995313735727968 \tabularnewline
23 & 22.6 & 23.2544317689329 & 20.4125 & 1.13922507135005 & 0.971857761331877 \tabularnewline
24 & 23.3 & 23.6178293644464 & 20.2583333333333 & 1.16583279462508 & 0.986542820699483 \tabularnewline
25 & 23 & 22.5749347208778 & 20.15 & 1.12034415488227 & 1.01882908120789 \tabularnewline
26 & 21.4 & 21.0028284368690 & 20.1458333333333 & 1.04253957080632 & 1.01891038458581 \tabularnewline
27 & 19.9 & 19.3891076515200 & 20.1916666666667 & 0.960252958391418 & 1.02634945133434 \tabularnewline
28 & 18.8 & 19.2571318668470 & 20.1916666666667 & 0.953716807272655 & 0.976261684761373 \tabularnewline
29 & 18.6 & 19.6064881887605 & 20.1125 & 0.974840929211212 & 0.94866555504124 \tabularnewline
30 & 18.4 & 19.4607565880306 & 19.9333333333333 & 0.976292136523275 & 0.945492530918195 \tabularnewline
31 & 18.6 & 18.1381721885660 & 19.6541666666667 & 0.922866509488199 & 1.02546165107668 \tabularnewline
32 & 19.9 & 17.9608614203279 & 19.3541666666667 & 0.928010062621896 & 1.10796467576312 \tabularnewline
33 & 19.2 & 17.1737641423634 & 19.0958333333333 & 0.899346147538122 & 1.11798437668294 \tabularnewline
34 & 18.4 & 17.3300707230103 & 18.9041666666667 & 0.916732857289501 & 1.06173830990598 \tabularnewline
35 & 21.1 & 21.3984442568584 & 18.7833333333333 & 1.13922507135005 & 0.986052992765454 \tabularnewline
36 & 20.5 & 21.7622121663348 & 18.6666666666667 & 1.16583279462508 & 0.94199982259674 \tabularnewline
37 & 19.1 & 20.6843539595139 & 18.4625 & 1.12034415488227 & 0.923403265936417 \tabularnewline
38 & 18.1 & 18.8612784018377 & 18.0916666666667 & 1.04253957080632 & 0.95963802741157 \tabularnewline
39 & 17 & 16.9164562836621 & 17.6166666666667 & 0.960252958391418 & 1.00493860622680 \tabularnewline
40 & 17.1 & 16.447641105423 & 17.2458333333333 & 0.953716807272655 & 1.03966276321301 \tabularnewline
41 & 17.4 & 16.7266456103824 & 17.1583333333333 & 0.974840929211212 & 1.04025639122764 \tabularnewline
42 & 16.8 & 16.9223970330701 & 17.3333333333333 & 0.976292136523275 & 0.992767157464105 \tabularnewline
43 & 15.3 & 16.2386052898694 & 17.5958333333333 & 0.922866509488199 & 0.94219914376175 \tabularnewline
44 & 14.3 & 16.5031122802927 & 17.7833333333333 & 0.928010062621896 & 0.866503224187381 \tabularnewline
45 & 13.4 & 16.0308450798670 & 17.825 & 0.899346147538122 & 0.835888559414058 \tabularnewline
46 & 15.3 & 16.3331237407079 & 17.8166666666667 & 0.916732857289501 & 0.936746714400196 \tabularnewline
47 & 22.1 & 20.4206094039497 & 17.925 & 1.13922507135005 & 1.08223998426440 \tabularnewline
48 & 23.7 & 21.2278721354650 & 18.2083333333333 & 1.16583279462508 & 1.11645669659018 \tabularnewline
49 & 22.2 & 20.8944184885543 & 18.65 & 1.12034415488227 & 1.06248470193898 \tabularnewline
50 & 19.5 & 19.9863523553329 & 19.1708333333333 & 1.04253957080632 & 0.975665776991913 \tabularnewline
51 & 16.6 & 18.8889759023578 & 19.6708333333333 & 0.960252958391418 & 0.878819481045973 \tabularnewline
52 & 17.3 & 19.1577863660895 & 20.0875 & 0.953716807272655 & 0.903027086188942 \tabularnewline
53 & 19.8 & 19.8136418862179 & 20.325 & 0.974840929211212 & 0.99931149021991 \tabularnewline
54 & 21.2 & 19.9122917011726 & 20.3958333333333 & 0.976292136523275 & 1.06466901540778 \tabularnewline
55 & 21.5 & NA & NA & 0.922866509488199 & NA \tabularnewline
56 & 20.6 & NA & NA & 0.928010062621896 & NA \tabularnewline
57 & 19.1 & NA & NA & 0.899346147538122 & NA \tabularnewline
58 & 19.6 & NA & NA & 0.916732857289501 & NA \tabularnewline
59 & 23.5 & NA & NA & 1.13922507135005 & NA \tabularnewline
60 & 24 & NA & NA & 1.16583279462508 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70409&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]25.6[/C][C]NA[/C][C]NA[/C][C]1.12034415488227[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]23.7[/C][C]NA[/C][C]NA[/C][C]1.04253957080632[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]22[/C][C]NA[/C][C]NA[/C][C]0.960252958391418[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]21.3[/C][C]NA[/C][C]NA[/C][C]0.953716807272655[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]20.7[/C][C]NA[/C][C]NA[/C][C]0.974840929211212[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]20.4[/C][C]NA[/C][C]NA[/C][C]0.976292136523275[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]20.3[/C][C]19.9377618820680[/C][C]21.6041666666667[/C][C]0.922866509488199[/C][C]1.01816844438582[/C][/ROW]
[ROW][C]8[/C][C]20.4[/C][C]19.9367495119937[/C][C]21.4833333333333[/C][C]0.928010062621896[/C][C]1.02323600884525[/C][/ROW]
[ROW][C]9[/C][C]19.8[/C][C]19.287227589078[/C][C]21.4458333333333[/C][C]0.899346147538122[/C][C]1.02658611293685[/C][/ROW]
[ROW][C]10[/C][C]19.5[/C][C]19.6639197888598[/C][C]21.45[/C][C]0.916732857289501[/C][C]0.99166393116836[/C][/ROW]
[ROW][C]11[/C][C]23.1[/C][C]24.4363777804586[/C][C]21.45[/C][C]1.13922507135005[/C][C]0.945311952840766[/C][/ROW]
[ROW][C]12[/C][C]23.5[/C][C]24.9876828981309[/C][C]21.4333333333333[/C][C]1.16583279462508[/C][C]0.940463351316094[/C][/ROW]
[ROW][C]13[/C][C]23.5[/C][C]23.9613606125446[/C][C]21.3875[/C][C]1.12034415488227[/C][C]0.980745642119212[/C][/ROW]
[ROW][C]14[/C][C]22.9[/C][C]22.2060928581747[/C][C]21.3[/C][C]1.04253957080632[/C][C]1.03124850221321[/C][/ROW]
[ROW][C]15[/C][C]21.9[/C][C]20.3653648258846[/C][C]21.2083333333333[/C][C]0.960252958391418[/C][C]1.07535515259539[/C][/ROW]
[ROW][C]16[/C][C]21.5[/C][C]20.1591890137257[/C][C]21.1375[/C][C]0.953716807272655[/C][C]1.06651115703917[/C][/ROW]
[ROW][C]17[/C][C]20.5[/C][C]20.5569580947414[/C][C]21.0875[/C][C]0.974840929211212[/C][C]0.997229254713712[/C][/ROW]
[ROW][C]18[/C][C]20.2[/C][C]20.5590852416193[/C][C]21.0583333333333[/C][C]0.976292136523275[/C][C]0.982533987412418[/C][/ROW]
[ROW][C]19[/C][C]19.4[/C][C]19.4071136391123[/C][C]21.0291666666667[/C][C]0.922866509488199[/C][C]0.999633451978252[/C][/ROW]
[ROW][C]20[/C][C]19.2[/C][C]19.4379441033345[/C][C]20.9458333333333[/C][C]0.928010062621896[/C][C]0.987758782406744[/C][/ROW]
[ROW][C]21[/C][C]18.8[/C][C]18.7063998687929[/C][C]20.8[/C][C]0.899346147538122[/C][C]1.00500364216865[/C][/ROW]
[ROW][C]22[/C][C]18.8[/C][C]18.8885165804024[/C][C]20.6041666666667[/C][C]0.916732857289501[/C][C]0.995313735727968[/C][/ROW]
[ROW][C]23[/C][C]22.6[/C][C]23.2544317689329[/C][C]20.4125[/C][C]1.13922507135005[/C][C]0.971857761331877[/C][/ROW]
[ROW][C]24[/C][C]23.3[/C][C]23.6178293644464[/C][C]20.2583333333333[/C][C]1.16583279462508[/C][C]0.986542820699483[/C][/ROW]
[ROW][C]25[/C][C]23[/C][C]22.5749347208778[/C][C]20.15[/C][C]1.12034415488227[/C][C]1.01882908120789[/C][/ROW]
[ROW][C]26[/C][C]21.4[/C][C]21.0028284368690[/C][C]20.1458333333333[/C][C]1.04253957080632[/C][C]1.01891038458581[/C][/ROW]
[ROW][C]27[/C][C]19.9[/C][C]19.3891076515200[/C][C]20.1916666666667[/C][C]0.960252958391418[/C][C]1.02634945133434[/C][/ROW]
[ROW][C]28[/C][C]18.8[/C][C]19.2571318668470[/C][C]20.1916666666667[/C][C]0.953716807272655[/C][C]0.976261684761373[/C][/ROW]
[ROW][C]29[/C][C]18.6[/C][C]19.6064881887605[/C][C]20.1125[/C][C]0.974840929211212[/C][C]0.94866555504124[/C][/ROW]
[ROW][C]30[/C][C]18.4[/C][C]19.4607565880306[/C][C]19.9333333333333[/C][C]0.976292136523275[/C][C]0.945492530918195[/C][/ROW]
[ROW][C]31[/C][C]18.6[/C][C]18.1381721885660[/C][C]19.6541666666667[/C][C]0.922866509488199[/C][C]1.02546165107668[/C][/ROW]
[ROW][C]32[/C][C]19.9[/C][C]17.9608614203279[/C][C]19.3541666666667[/C][C]0.928010062621896[/C][C]1.10796467576312[/C][/ROW]
[ROW][C]33[/C][C]19.2[/C][C]17.1737641423634[/C][C]19.0958333333333[/C][C]0.899346147538122[/C][C]1.11798437668294[/C][/ROW]
[ROW][C]34[/C][C]18.4[/C][C]17.3300707230103[/C][C]18.9041666666667[/C][C]0.916732857289501[/C][C]1.06173830990598[/C][/ROW]
[ROW][C]35[/C][C]21.1[/C][C]21.3984442568584[/C][C]18.7833333333333[/C][C]1.13922507135005[/C][C]0.986052992765454[/C][/ROW]
[ROW][C]36[/C][C]20.5[/C][C]21.7622121663348[/C][C]18.6666666666667[/C][C]1.16583279462508[/C][C]0.94199982259674[/C][/ROW]
[ROW][C]37[/C][C]19.1[/C][C]20.6843539595139[/C][C]18.4625[/C][C]1.12034415488227[/C][C]0.923403265936417[/C][/ROW]
[ROW][C]38[/C][C]18.1[/C][C]18.8612784018377[/C][C]18.0916666666667[/C][C]1.04253957080632[/C][C]0.95963802741157[/C][/ROW]
[ROW][C]39[/C][C]17[/C][C]16.9164562836621[/C][C]17.6166666666667[/C][C]0.960252958391418[/C][C]1.00493860622680[/C][/ROW]
[ROW][C]40[/C][C]17.1[/C][C]16.447641105423[/C][C]17.2458333333333[/C][C]0.953716807272655[/C][C]1.03966276321301[/C][/ROW]
[ROW][C]41[/C][C]17.4[/C][C]16.7266456103824[/C][C]17.1583333333333[/C][C]0.974840929211212[/C][C]1.04025639122764[/C][/ROW]
[ROW][C]42[/C][C]16.8[/C][C]16.9223970330701[/C][C]17.3333333333333[/C][C]0.976292136523275[/C][C]0.992767157464105[/C][/ROW]
[ROW][C]43[/C][C]15.3[/C][C]16.2386052898694[/C][C]17.5958333333333[/C][C]0.922866509488199[/C][C]0.94219914376175[/C][/ROW]
[ROW][C]44[/C][C]14.3[/C][C]16.5031122802927[/C][C]17.7833333333333[/C][C]0.928010062621896[/C][C]0.866503224187381[/C][/ROW]
[ROW][C]45[/C][C]13.4[/C][C]16.0308450798670[/C][C]17.825[/C][C]0.899346147538122[/C][C]0.835888559414058[/C][/ROW]
[ROW][C]46[/C][C]15.3[/C][C]16.3331237407079[/C][C]17.8166666666667[/C][C]0.916732857289501[/C][C]0.936746714400196[/C][/ROW]
[ROW][C]47[/C][C]22.1[/C][C]20.4206094039497[/C][C]17.925[/C][C]1.13922507135005[/C][C]1.08223998426440[/C][/ROW]
[ROW][C]48[/C][C]23.7[/C][C]21.2278721354650[/C][C]18.2083333333333[/C][C]1.16583279462508[/C][C]1.11645669659018[/C][/ROW]
[ROW][C]49[/C][C]22.2[/C][C]20.8944184885543[/C][C]18.65[/C][C]1.12034415488227[/C][C]1.06248470193898[/C][/ROW]
[ROW][C]50[/C][C]19.5[/C][C]19.9863523553329[/C][C]19.1708333333333[/C][C]1.04253957080632[/C][C]0.975665776991913[/C][/ROW]
[ROW][C]51[/C][C]16.6[/C][C]18.8889759023578[/C][C]19.6708333333333[/C][C]0.960252958391418[/C][C]0.878819481045973[/C][/ROW]
[ROW][C]52[/C][C]17.3[/C][C]19.1577863660895[/C][C]20.0875[/C][C]0.953716807272655[/C][C]0.903027086188942[/C][/ROW]
[ROW][C]53[/C][C]19.8[/C][C]19.8136418862179[/C][C]20.325[/C][C]0.974840929211212[/C][C]0.99931149021991[/C][/ROW]
[ROW][C]54[/C][C]21.2[/C][C]19.9122917011726[/C][C]20.3958333333333[/C][C]0.976292136523275[/C][C]1.06466901540778[/C][/ROW]
[ROW][C]55[/C][C]21.5[/C][C]NA[/C][C]NA[/C][C]0.922866509488199[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]20.6[/C][C]NA[/C][C]NA[/C][C]0.928010062621896[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]19.1[/C][C]NA[/C][C]NA[/C][C]0.899346147538122[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]19.6[/C][C]NA[/C][C]NA[/C][C]0.916732857289501[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]23.5[/C][C]NA[/C][C]NA[/C][C]1.13922507135005[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]24[/C][C]NA[/C][C]NA[/C][C]1.16583279462508[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70409&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70409&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
125.6NANA1.12034415488227NA
223.7NANA1.04253957080632NA
322NANA0.960252958391418NA
421.3NANA0.953716807272655NA
520.7NANA0.974840929211212NA
620.4NANA0.976292136523275NA
720.319.937761882068021.60416666666670.9228665094881991.01816844438582
820.419.936749511993721.48333333333330.9280100626218961.02323600884525
919.819.28722758907821.44583333333330.8993461475381221.02658611293685
1019.519.663919788859821.450.9167328572895010.99166393116836
1123.124.436377780458621.451.139225071350050.945311952840766
1223.524.987682898130921.43333333333331.165832794625080.940463351316094
1323.523.961360612544621.38751.120344154882270.980745642119212
1422.922.206092858174721.31.042539570806321.03124850221321
1521.920.365364825884621.20833333333330.9602529583914181.07535515259539
1621.520.159189013725721.13750.9537168072726551.06651115703917
1720.520.556958094741421.08750.9748409292112120.997229254713712
1820.220.559085241619321.05833333333330.9762921365232750.982533987412418
1919.419.407113639112321.02916666666670.9228665094881990.999633451978252
2019.219.437944103334520.94583333333330.9280100626218960.987758782406744
2118.818.706399868792920.80.8993461475381221.00500364216865
2218.818.888516580402420.60416666666670.9167328572895010.995313735727968
2322.623.254431768932920.41251.139225071350050.971857761331877
2423.323.617829364446420.25833333333331.165832794625080.986542820699483
252322.574934720877820.151.120344154882271.01882908120789
2621.421.002828436869020.14583333333331.042539570806321.01891038458581
2719.919.389107651520020.19166666666670.9602529583914181.02634945133434
2818.819.257131866847020.19166666666670.9537168072726550.976261684761373
2918.619.606488188760520.11250.9748409292112120.94866555504124
3018.419.460756588030619.93333333333330.9762921365232750.945492530918195
3118.618.138172188566019.65416666666670.9228665094881991.02546165107668
3219.917.960861420327919.35416666666670.9280100626218961.10796467576312
3319.217.173764142363419.09583333333330.8993461475381221.11798437668294
3418.417.330070723010318.90416666666670.9167328572895011.06173830990598
3521.121.398444256858418.78333333333331.139225071350050.986052992765454
3620.521.762212166334818.66666666666671.165832794625080.94199982259674
3719.120.684353959513918.46251.120344154882270.923403265936417
3818.118.861278401837718.09166666666671.042539570806320.95963802741157
391716.916456283662117.61666666666670.9602529583914181.00493860622680
4017.116.44764110542317.24583333333330.9537168072726551.03966276321301
4117.416.726645610382417.15833333333330.9748409292112121.04025639122764
4216.816.922397033070117.33333333333330.9762921365232750.992767157464105
4315.316.238605289869417.59583333333330.9228665094881990.94219914376175
4414.316.503112280292717.78333333333330.9280100626218960.866503224187381
4513.416.030845079867017.8250.8993461475381220.835888559414058
4615.316.333123740707917.81666666666670.9167328572895010.936746714400196
4722.120.420609403949717.9251.139225071350051.08223998426440
4823.721.227872135465018.20833333333331.165832794625081.11645669659018
4922.220.894418488554318.651.120344154882271.06248470193898
5019.519.986352355332919.17083333333331.042539570806320.975665776991913
5116.618.888975902357819.67083333333330.9602529583914180.878819481045973
5217.319.157786366089520.08750.9537168072726550.903027086188942
5319.819.813641886217920.3250.9748409292112120.99931149021991
5421.219.912291701172620.39583333333330.9762921365232751.06466901540778
5521.5NANA0.922866509488199NA
5620.6NANA0.928010062621896NA
5719.1NANA0.899346147538122NA
5819.6NANA0.916732857289501NA
5923.5NANA1.13922507135005NA
6024NANA1.16583279462508NA



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 1 ; par4 = 1 ;
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')