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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 Dec 2009 15:40:18 -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/04/t12599664543vvmqek8ce5dwai.htm/, Retrieved Sun, 28 Apr 2024 06:06:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64195, Retrieved Sun, 28 Apr 2024 06:06:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67
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]
-   PD      [Classical Decomposition] [] [2009-12-04 22:40:18] [7cc673c2b3a8ab442a3ec6ca430f2445] [Current]
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Dataseries X:
102.80 
118.72 
119.01 
118.61 
120.43 
111.83 
116.79 
131.71 
120.57 
117.83 
130.80 
107.46 
112.09 
129.47 
119.72 
134.81 
135.80 
129.27 
126.94 
153.45 
121.86 
133.47 
135.34 
117.10 
120.65 
132.49 
137.60 
138.69 
125.53 
133.09 
129.08 
145.94 
129.07 
139.69 
142.09 
137.29 
127.03 
137.25 
156.87 
150.89 
139.14 
158.30 
149.00 
158.36 
168.06 
153.38 
173.86 
162.47 
145.17 
168.89 
166.64 
140.07 
128.84 
123.40 
120.30 
129.66 
118.12 
113.91 
131.09 
119.14 
115.33




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=64195&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=64195&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64195&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
1102.8NANA0.91305423037476NA
2118.72NANA1.02683812043166NA
3119.01NANA1.04797023984225NA
4118.61NANA1.02408310415181NA
5120.43NANA0.961623699822525NA
6111.83NANA0.983786916052064NA
7116.79112.473451041067118.433750.949673982636431.03837838102217
8131.71126.544503019225119.268751.061003012266201.04081960778644
9120.57120.715449862084119.746251.008093780490700.998795101519728
10117.83120.215197698611120.4508333333330.9980437193483770.980158933776482
11130.8125.569087440401121.766251.031230636078561.04165764573293
12107.46122.468235837208123.1333333333330.9945985585046650.877452012478095
13112.09113.477042825814124.2829166666670.913054230374760.987776886044319
14129.47128.982847704288125.6116666666671.026838120431661.00377687657221
15119.72132.642903219633126.571251.047970239842250.90257373062594
16134.81130.341883886095127.2766666666671.024083104151811.03427997187619
17135.8123.200824362012128.11750.9616236998225251.10226535173958
18129.27126.621574320201128.7083333333330.9837869160520641.02091606974576
19126.94122.951124951996129.4666666666670.949673982636431.03244276983688
20153.45137.876457274816129.9491666666671.061003012266201.11295287848993
21121.86131.878828363793130.821.008093780490700.924030047217619
22133.47131.468972337364131.7266666666670.9980437193483771.01522053171224
23135.34135.566009098319131.4604166666671.031230636078560.998332848331064
24117.1130.483042554491131.1916666666670.9945985585046650.89743462221229
25120.65120.011848040458131.440.913054230374761.00531740798897
26132.49134.737847520091131.216251.026838120431660.983316881177312
27137.6137.497625355703131.203751.047970239842251.0007445557262
28138.69134.936603413389131.7633333333331.024083104151811.02781600019316
29125.53127.226421575394132.303750.9616236998225250.986666122064991
30133.09131.262999007892133.426250.9837869160520641.01391862905706
31129.08127.762806464021134.5333333333330.949673982636431.01030967910328
32145.94143.232754148407134.99751.061003012266201.01890102489259
33129.07137.099494029509135.998751.008093780490700.941433087799864
34139.69137.041383103726137.310.9980437193483771.01932713196765
35142.09142.707281253163138.3854166666671.031230636078560.995674493636606
36137.29139.246699103115140.0029166666670.9945985585046650.985947967774328
37127.03129.547177719672141.8833333333330.913054230374760.980569412904394
38137.25147.074879687860143.2308333333331.026838120431660.933198111678133
39156.87152.346490345734145.3729166666671.047970239842251.02969224721883
40150.89151.121810173215147.5679166666671.024083104151810.998466070695225
41139.14143.726281558182149.4620833333330.9616236998225250.968090167584793
42158.3149.373286398765151.8350.9837869160520641.05976111135029
43149145.907910692261153.640.949673982636431.02119206075304
44158.36165.213199885855155.7141666666671.061003012266200.958519053619265
45168.06158.713864761380157.4395833333331.008093780490701.05888669684070
46153.38157.087922909937157.3958333333330.9980437193483770.97639587537189
47173.86161.403922364699156.5158333333331.031230636078561.07717332672471
48162.47153.797261597973154.63250.9945985585046651.05639072056236
49145.17138.768264567932151.98250.913054230374761.04613256101458
50168.89153.605570133806149.5908333333331.026838120431661.09950439852461
51166.64153.332892333986146.3141666666671.047970239842251.08678573438130
52140.07146.022729717126142.588751.024083104151810.959234225187698
53128.84133.821557450010139.1620833333330.9616236998225250.962774626562904
54123.4133.376501232544135.5745833333330.9837869160520640.925200457799163
55120.3125.856335943878132.5258333333330.949673982636430.955851758259067
56129.66NANA1.06100301226620NA
57118.12NANA1.00809378049070NA
58113.91NANA0.998043719348377NA
59131.09NANA1.03123063607856NA
60119.14NANA0.994598558504665NA
61115.33NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 102.8 & NA & NA & 0.91305423037476 & NA \tabularnewline
2 & 118.72 & NA & NA & 1.02683812043166 & NA \tabularnewline
3 & 119.01 & NA & NA & 1.04797023984225 & NA \tabularnewline
4 & 118.61 & NA & NA & 1.02408310415181 & NA \tabularnewline
5 & 120.43 & NA & NA & 0.961623699822525 & NA \tabularnewline
6 & 111.83 & NA & NA & 0.983786916052064 & NA \tabularnewline
7 & 116.79 & 112.473451041067 & 118.43375 & 0.94967398263643 & 1.03837838102217 \tabularnewline
8 & 131.71 & 126.544503019225 & 119.26875 & 1.06100301226620 & 1.04081960778644 \tabularnewline
9 & 120.57 & 120.715449862084 & 119.74625 & 1.00809378049070 & 0.998795101519728 \tabularnewline
10 & 117.83 & 120.215197698611 & 120.450833333333 & 0.998043719348377 & 0.980158933776482 \tabularnewline
11 & 130.8 & 125.569087440401 & 121.76625 & 1.03123063607856 & 1.04165764573293 \tabularnewline
12 & 107.46 & 122.468235837208 & 123.133333333333 & 0.994598558504665 & 0.877452012478095 \tabularnewline
13 & 112.09 & 113.477042825814 & 124.282916666667 & 0.91305423037476 & 0.987776886044319 \tabularnewline
14 & 129.47 & 128.982847704288 & 125.611666666667 & 1.02683812043166 & 1.00377687657221 \tabularnewline
15 & 119.72 & 132.642903219633 & 126.57125 & 1.04797023984225 & 0.90257373062594 \tabularnewline
16 & 134.81 & 130.341883886095 & 127.276666666667 & 1.02408310415181 & 1.03427997187619 \tabularnewline
17 & 135.8 & 123.200824362012 & 128.1175 & 0.961623699822525 & 1.10226535173958 \tabularnewline
18 & 129.27 & 126.621574320201 & 128.708333333333 & 0.983786916052064 & 1.02091606974576 \tabularnewline
19 & 126.94 & 122.951124951996 & 129.466666666667 & 0.94967398263643 & 1.03244276983688 \tabularnewline
20 & 153.45 & 137.876457274816 & 129.949166666667 & 1.06100301226620 & 1.11295287848993 \tabularnewline
21 & 121.86 & 131.878828363793 & 130.82 & 1.00809378049070 & 0.924030047217619 \tabularnewline
22 & 133.47 & 131.468972337364 & 131.726666666667 & 0.998043719348377 & 1.01522053171224 \tabularnewline
23 & 135.34 & 135.566009098319 & 131.460416666667 & 1.03123063607856 & 0.998332848331064 \tabularnewline
24 & 117.1 & 130.483042554491 & 131.191666666667 & 0.994598558504665 & 0.89743462221229 \tabularnewline
25 & 120.65 & 120.011848040458 & 131.44 & 0.91305423037476 & 1.00531740798897 \tabularnewline
26 & 132.49 & 134.737847520091 & 131.21625 & 1.02683812043166 & 0.983316881177312 \tabularnewline
27 & 137.6 & 137.497625355703 & 131.20375 & 1.04797023984225 & 1.0007445557262 \tabularnewline
28 & 138.69 & 134.936603413389 & 131.763333333333 & 1.02408310415181 & 1.02781600019316 \tabularnewline
29 & 125.53 & 127.226421575394 & 132.30375 & 0.961623699822525 & 0.986666122064991 \tabularnewline
30 & 133.09 & 131.262999007892 & 133.42625 & 0.983786916052064 & 1.01391862905706 \tabularnewline
31 & 129.08 & 127.762806464021 & 134.533333333333 & 0.94967398263643 & 1.01030967910328 \tabularnewline
32 & 145.94 & 143.232754148407 & 134.9975 & 1.06100301226620 & 1.01890102489259 \tabularnewline
33 & 129.07 & 137.099494029509 & 135.99875 & 1.00809378049070 & 0.941433087799864 \tabularnewline
34 & 139.69 & 137.041383103726 & 137.31 & 0.998043719348377 & 1.01932713196765 \tabularnewline
35 & 142.09 & 142.707281253163 & 138.385416666667 & 1.03123063607856 & 0.995674493636606 \tabularnewline
36 & 137.29 & 139.246699103115 & 140.002916666667 & 0.994598558504665 & 0.985947967774328 \tabularnewline
37 & 127.03 & 129.547177719672 & 141.883333333333 & 0.91305423037476 & 0.980569412904394 \tabularnewline
38 & 137.25 & 147.074879687860 & 143.230833333333 & 1.02683812043166 & 0.933198111678133 \tabularnewline
39 & 156.87 & 152.346490345734 & 145.372916666667 & 1.04797023984225 & 1.02969224721883 \tabularnewline
40 & 150.89 & 151.121810173215 & 147.567916666667 & 1.02408310415181 & 0.998466070695225 \tabularnewline
41 & 139.14 & 143.726281558182 & 149.462083333333 & 0.961623699822525 & 0.968090167584793 \tabularnewline
42 & 158.3 & 149.373286398765 & 151.835 & 0.983786916052064 & 1.05976111135029 \tabularnewline
43 & 149 & 145.907910692261 & 153.64 & 0.94967398263643 & 1.02119206075304 \tabularnewline
44 & 158.36 & 165.213199885855 & 155.714166666667 & 1.06100301226620 & 0.958519053619265 \tabularnewline
45 & 168.06 & 158.713864761380 & 157.439583333333 & 1.00809378049070 & 1.05888669684070 \tabularnewline
46 & 153.38 & 157.087922909937 & 157.395833333333 & 0.998043719348377 & 0.97639587537189 \tabularnewline
47 & 173.86 & 161.403922364699 & 156.515833333333 & 1.03123063607856 & 1.07717332672471 \tabularnewline
48 & 162.47 & 153.797261597973 & 154.6325 & 0.994598558504665 & 1.05639072056236 \tabularnewline
49 & 145.17 & 138.768264567932 & 151.9825 & 0.91305423037476 & 1.04613256101458 \tabularnewline
50 & 168.89 & 153.605570133806 & 149.590833333333 & 1.02683812043166 & 1.09950439852461 \tabularnewline
51 & 166.64 & 153.332892333986 & 146.314166666667 & 1.04797023984225 & 1.08678573438130 \tabularnewline
52 & 140.07 & 146.022729717126 & 142.58875 & 1.02408310415181 & 0.959234225187698 \tabularnewline
53 & 128.84 & 133.821557450010 & 139.162083333333 & 0.961623699822525 & 0.962774626562904 \tabularnewline
54 & 123.4 & 133.376501232544 & 135.574583333333 & 0.983786916052064 & 0.925200457799163 \tabularnewline
55 & 120.3 & 125.856335943878 & 132.525833333333 & 0.94967398263643 & 0.955851758259067 \tabularnewline
56 & 129.66 & NA & NA & 1.06100301226620 & NA \tabularnewline
57 & 118.12 & NA & NA & 1.00809378049070 & NA \tabularnewline
58 & 113.91 & NA & NA & 0.998043719348377 & NA \tabularnewline
59 & 131.09 & NA & NA & 1.03123063607856 & NA \tabularnewline
60 & 119.14 & NA & NA & 0.994598558504665 & NA \tabularnewline
61 & 115.33 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64195&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]102.8[/C][C]NA[/C][C]NA[/C][C]0.91305423037476[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]118.72[/C][C]NA[/C][C]NA[/C][C]1.02683812043166[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]119.01[/C][C]NA[/C][C]NA[/C][C]1.04797023984225[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]118.61[/C][C]NA[/C][C]NA[/C][C]1.02408310415181[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]120.43[/C][C]NA[/C][C]NA[/C][C]0.961623699822525[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]111.83[/C][C]NA[/C][C]NA[/C][C]0.983786916052064[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]116.79[/C][C]112.473451041067[/C][C]118.43375[/C][C]0.94967398263643[/C][C]1.03837838102217[/C][/ROW]
[ROW][C]8[/C][C]131.71[/C][C]126.544503019225[/C][C]119.26875[/C][C]1.06100301226620[/C][C]1.04081960778644[/C][/ROW]
[ROW][C]9[/C][C]120.57[/C][C]120.715449862084[/C][C]119.74625[/C][C]1.00809378049070[/C][C]0.998795101519728[/C][/ROW]
[ROW][C]10[/C][C]117.83[/C][C]120.215197698611[/C][C]120.450833333333[/C][C]0.998043719348377[/C][C]0.980158933776482[/C][/ROW]
[ROW][C]11[/C][C]130.8[/C][C]125.569087440401[/C][C]121.76625[/C][C]1.03123063607856[/C][C]1.04165764573293[/C][/ROW]
[ROW][C]12[/C][C]107.46[/C][C]122.468235837208[/C][C]123.133333333333[/C][C]0.994598558504665[/C][C]0.877452012478095[/C][/ROW]
[ROW][C]13[/C][C]112.09[/C][C]113.477042825814[/C][C]124.282916666667[/C][C]0.91305423037476[/C][C]0.987776886044319[/C][/ROW]
[ROW][C]14[/C][C]129.47[/C][C]128.982847704288[/C][C]125.611666666667[/C][C]1.02683812043166[/C][C]1.00377687657221[/C][/ROW]
[ROW][C]15[/C][C]119.72[/C][C]132.642903219633[/C][C]126.57125[/C][C]1.04797023984225[/C][C]0.90257373062594[/C][/ROW]
[ROW][C]16[/C][C]134.81[/C][C]130.341883886095[/C][C]127.276666666667[/C][C]1.02408310415181[/C][C]1.03427997187619[/C][/ROW]
[ROW][C]17[/C][C]135.8[/C][C]123.200824362012[/C][C]128.1175[/C][C]0.961623699822525[/C][C]1.10226535173958[/C][/ROW]
[ROW][C]18[/C][C]129.27[/C][C]126.621574320201[/C][C]128.708333333333[/C][C]0.983786916052064[/C][C]1.02091606974576[/C][/ROW]
[ROW][C]19[/C][C]126.94[/C][C]122.951124951996[/C][C]129.466666666667[/C][C]0.94967398263643[/C][C]1.03244276983688[/C][/ROW]
[ROW][C]20[/C][C]153.45[/C][C]137.876457274816[/C][C]129.949166666667[/C][C]1.06100301226620[/C][C]1.11295287848993[/C][/ROW]
[ROW][C]21[/C][C]121.86[/C][C]131.878828363793[/C][C]130.82[/C][C]1.00809378049070[/C][C]0.924030047217619[/C][/ROW]
[ROW][C]22[/C][C]133.47[/C][C]131.468972337364[/C][C]131.726666666667[/C][C]0.998043719348377[/C][C]1.01522053171224[/C][/ROW]
[ROW][C]23[/C][C]135.34[/C][C]135.566009098319[/C][C]131.460416666667[/C][C]1.03123063607856[/C][C]0.998332848331064[/C][/ROW]
[ROW][C]24[/C][C]117.1[/C][C]130.483042554491[/C][C]131.191666666667[/C][C]0.994598558504665[/C][C]0.89743462221229[/C][/ROW]
[ROW][C]25[/C][C]120.65[/C][C]120.011848040458[/C][C]131.44[/C][C]0.91305423037476[/C][C]1.00531740798897[/C][/ROW]
[ROW][C]26[/C][C]132.49[/C][C]134.737847520091[/C][C]131.21625[/C][C]1.02683812043166[/C][C]0.983316881177312[/C][/ROW]
[ROW][C]27[/C][C]137.6[/C][C]137.497625355703[/C][C]131.20375[/C][C]1.04797023984225[/C][C]1.0007445557262[/C][/ROW]
[ROW][C]28[/C][C]138.69[/C][C]134.936603413389[/C][C]131.763333333333[/C][C]1.02408310415181[/C][C]1.02781600019316[/C][/ROW]
[ROW][C]29[/C][C]125.53[/C][C]127.226421575394[/C][C]132.30375[/C][C]0.961623699822525[/C][C]0.986666122064991[/C][/ROW]
[ROW][C]30[/C][C]133.09[/C][C]131.262999007892[/C][C]133.42625[/C][C]0.983786916052064[/C][C]1.01391862905706[/C][/ROW]
[ROW][C]31[/C][C]129.08[/C][C]127.762806464021[/C][C]134.533333333333[/C][C]0.94967398263643[/C][C]1.01030967910328[/C][/ROW]
[ROW][C]32[/C][C]145.94[/C][C]143.232754148407[/C][C]134.9975[/C][C]1.06100301226620[/C][C]1.01890102489259[/C][/ROW]
[ROW][C]33[/C][C]129.07[/C][C]137.099494029509[/C][C]135.99875[/C][C]1.00809378049070[/C][C]0.941433087799864[/C][/ROW]
[ROW][C]34[/C][C]139.69[/C][C]137.041383103726[/C][C]137.31[/C][C]0.998043719348377[/C][C]1.01932713196765[/C][/ROW]
[ROW][C]35[/C][C]142.09[/C][C]142.707281253163[/C][C]138.385416666667[/C][C]1.03123063607856[/C][C]0.995674493636606[/C][/ROW]
[ROW][C]36[/C][C]137.29[/C][C]139.246699103115[/C][C]140.002916666667[/C][C]0.994598558504665[/C][C]0.985947967774328[/C][/ROW]
[ROW][C]37[/C][C]127.03[/C][C]129.547177719672[/C][C]141.883333333333[/C][C]0.91305423037476[/C][C]0.980569412904394[/C][/ROW]
[ROW][C]38[/C][C]137.25[/C][C]147.074879687860[/C][C]143.230833333333[/C][C]1.02683812043166[/C][C]0.933198111678133[/C][/ROW]
[ROW][C]39[/C][C]156.87[/C][C]152.346490345734[/C][C]145.372916666667[/C][C]1.04797023984225[/C][C]1.02969224721883[/C][/ROW]
[ROW][C]40[/C][C]150.89[/C][C]151.121810173215[/C][C]147.567916666667[/C][C]1.02408310415181[/C][C]0.998466070695225[/C][/ROW]
[ROW][C]41[/C][C]139.14[/C][C]143.726281558182[/C][C]149.462083333333[/C][C]0.961623699822525[/C][C]0.968090167584793[/C][/ROW]
[ROW][C]42[/C][C]158.3[/C][C]149.373286398765[/C][C]151.835[/C][C]0.983786916052064[/C][C]1.05976111135029[/C][/ROW]
[ROW][C]43[/C][C]149[/C][C]145.907910692261[/C][C]153.64[/C][C]0.94967398263643[/C][C]1.02119206075304[/C][/ROW]
[ROW][C]44[/C][C]158.36[/C][C]165.213199885855[/C][C]155.714166666667[/C][C]1.06100301226620[/C][C]0.958519053619265[/C][/ROW]
[ROW][C]45[/C][C]168.06[/C][C]158.713864761380[/C][C]157.439583333333[/C][C]1.00809378049070[/C][C]1.05888669684070[/C][/ROW]
[ROW][C]46[/C][C]153.38[/C][C]157.087922909937[/C][C]157.395833333333[/C][C]0.998043719348377[/C][C]0.97639587537189[/C][/ROW]
[ROW][C]47[/C][C]173.86[/C][C]161.403922364699[/C][C]156.515833333333[/C][C]1.03123063607856[/C][C]1.07717332672471[/C][/ROW]
[ROW][C]48[/C][C]162.47[/C][C]153.797261597973[/C][C]154.6325[/C][C]0.994598558504665[/C][C]1.05639072056236[/C][/ROW]
[ROW][C]49[/C][C]145.17[/C][C]138.768264567932[/C][C]151.9825[/C][C]0.91305423037476[/C][C]1.04613256101458[/C][/ROW]
[ROW][C]50[/C][C]168.89[/C][C]153.605570133806[/C][C]149.590833333333[/C][C]1.02683812043166[/C][C]1.09950439852461[/C][/ROW]
[ROW][C]51[/C][C]166.64[/C][C]153.332892333986[/C][C]146.314166666667[/C][C]1.04797023984225[/C][C]1.08678573438130[/C][/ROW]
[ROW][C]52[/C][C]140.07[/C][C]146.022729717126[/C][C]142.58875[/C][C]1.02408310415181[/C][C]0.959234225187698[/C][/ROW]
[ROW][C]53[/C][C]128.84[/C][C]133.821557450010[/C][C]139.162083333333[/C][C]0.961623699822525[/C][C]0.962774626562904[/C][/ROW]
[ROW][C]54[/C][C]123.4[/C][C]133.376501232544[/C][C]135.574583333333[/C][C]0.983786916052064[/C][C]0.925200457799163[/C][/ROW]
[ROW][C]55[/C][C]120.3[/C][C]125.856335943878[/C][C]132.525833333333[/C][C]0.94967398263643[/C][C]0.955851758259067[/C][/ROW]
[ROW][C]56[/C][C]129.66[/C][C]NA[/C][C]NA[/C][C]1.06100301226620[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]118.12[/C][C]NA[/C][C]NA[/C][C]1.00809378049070[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]113.91[/C][C]NA[/C][C]NA[/C][C]0.998043719348377[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]131.09[/C][C]NA[/C][C]NA[/C][C]1.03123063607856[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]119.14[/C][C]NA[/C][C]NA[/C][C]0.994598558504665[/C][C]NA[/C][/ROW]
[ROW][C]61[/C][C]115.33[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64195&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64195&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
1102.8NANA0.91305423037476NA
2118.72NANA1.02683812043166NA
3119.01NANA1.04797023984225NA
4118.61NANA1.02408310415181NA
5120.43NANA0.961623699822525NA
6111.83NANA0.983786916052064NA
7116.79112.473451041067118.433750.949673982636431.03837838102217
8131.71126.544503019225119.268751.061003012266201.04081960778644
9120.57120.715449862084119.746251.008093780490700.998795101519728
10117.83120.215197698611120.4508333333330.9980437193483770.980158933776482
11130.8125.569087440401121.766251.031230636078561.04165764573293
12107.46122.468235837208123.1333333333330.9945985585046650.877452012478095
13112.09113.477042825814124.2829166666670.913054230374760.987776886044319
14129.47128.982847704288125.6116666666671.026838120431661.00377687657221
15119.72132.642903219633126.571251.047970239842250.90257373062594
16134.81130.341883886095127.2766666666671.024083104151811.03427997187619
17135.8123.200824362012128.11750.9616236998225251.10226535173958
18129.27126.621574320201128.7083333333330.9837869160520641.02091606974576
19126.94122.951124951996129.4666666666670.949673982636431.03244276983688
20153.45137.876457274816129.9491666666671.061003012266201.11295287848993
21121.86131.878828363793130.821.008093780490700.924030047217619
22133.47131.468972337364131.7266666666670.9980437193483771.01522053171224
23135.34135.566009098319131.4604166666671.031230636078560.998332848331064
24117.1130.483042554491131.1916666666670.9945985585046650.89743462221229
25120.65120.011848040458131.440.913054230374761.00531740798897
26132.49134.737847520091131.216251.026838120431660.983316881177312
27137.6137.497625355703131.203751.047970239842251.0007445557262
28138.69134.936603413389131.7633333333331.024083104151811.02781600019316
29125.53127.226421575394132.303750.9616236998225250.986666122064991
30133.09131.262999007892133.426250.9837869160520641.01391862905706
31129.08127.762806464021134.5333333333330.949673982636431.01030967910328
32145.94143.232754148407134.99751.061003012266201.01890102489259
33129.07137.099494029509135.998751.008093780490700.941433087799864
34139.69137.041383103726137.310.9980437193483771.01932713196765
35142.09142.707281253163138.3854166666671.031230636078560.995674493636606
36137.29139.246699103115140.0029166666670.9945985585046650.985947967774328
37127.03129.547177719672141.8833333333330.913054230374760.980569412904394
38137.25147.074879687860143.2308333333331.026838120431660.933198111678133
39156.87152.346490345734145.3729166666671.047970239842251.02969224721883
40150.89151.121810173215147.5679166666671.024083104151810.998466070695225
41139.14143.726281558182149.4620833333330.9616236998225250.968090167584793
42158.3149.373286398765151.8350.9837869160520641.05976111135029
43149145.907910692261153.640.949673982636431.02119206075304
44158.36165.213199885855155.7141666666671.061003012266200.958519053619265
45168.06158.713864761380157.4395833333331.008093780490701.05888669684070
46153.38157.087922909937157.3958333333330.9980437193483770.97639587537189
47173.86161.403922364699156.5158333333331.031230636078561.07717332672471
48162.47153.797261597973154.63250.9945985585046651.05639072056236
49145.17138.768264567932151.98250.913054230374761.04613256101458
50168.89153.605570133806149.5908333333331.026838120431661.09950439852461
51166.64153.332892333986146.3141666666671.047970239842251.08678573438130
52140.07146.022729717126142.588751.024083104151810.959234225187698
53128.84133.821557450010139.1620833333330.9616236998225250.962774626562904
54123.4133.376501232544135.5745833333330.9837869160520640.925200457799163
55120.3125.856335943878132.5258333333330.949673982636430.955851758259067
56129.66NANA1.06100301226620NA
57118.12NANA1.00809378049070NA
58113.91NANA0.998043719348377NA
59131.09NANA1.03123063607856NA
60119.14NANA0.994598558504665NA
61115.33NANANANA



Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
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')