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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 03 Dec 2012 13:52:31 -0500
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/Dec/03/t135456078988hyabcgzc0vexo.htm/, Retrieved Sat, 04 May 2024 22:50:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195947, Retrieved Sat, 04 May 2024 22:50:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Multiplicatief DV...] [2012-12-03 18:52:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
126.81
125.8
123.07
119.52
118.03
117.27
117.27
116.69
115.38
114.31
113.33
111.79
111.79
110.92
109.37
107.04
104.72
104.14
104.14
102.95
102.13
101.01
100.07
99.4
99.4
99.34
97.72
96.26
95.77
95.04
95.04
94.55
94
93.14
91.21
90.3
90.3
89.74
89.07
89.06
88.97
88.78
88.78
88.23
87.91
87.79
87.89
88
88
87.08
85.75
84.29
84.39
83.72
83.72
81.76
81.53
80.55
79.83
78.98
78.98
78.27
77.41
76.75
76.38
74.96
74.96
74.46
74.04
73.22
72.97
72.91




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195947&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195947&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195947&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 time3 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1126.81NANA1.00533021478423NA
2125.8NANA1.00597981492971NA
3123.07NANA1.00050676797037NA
4119.52NANA0.995433315884174NA
5118.03NANA0.99648352433009NA
6117.27NANA0.995282372109872NA
7117.27117.927214339373117.6466666666671.002384663166880.994426949342822
8116.69116.406344623898116.4008333333331.000047347518111.00243676903539
9115.38115.395387274518115.211.001609124854770.999866656069351
10114.31114.183635008387114.1191666666671.000564921245071.00110668215812
11113.33112.875962917263113.0445833333330.9985083724394531.00402244260871
12111.79111.704429085174111.9429166666670.997869560767271.00076604764491
13111.79111.439597646063110.848751.005330214784231.00314432536853
14110.92110.385326775724109.7291666666671.005979814929711.00484369834192
15109.37108.659620657602108.6045833333331.000506767970371.00653765711769
16107.04107.007422402022107.4983333333330.9954333158841741.00030444241387
17104.72106.017542959352106.3916666666670.996483524330090.987761054226189
18104.14104.82604233753105.3229166666670.9952823721098720.993455420788268
19104.14104.539114181951104.2904166666671.002384663166880.996182154544987
20102.95103.296557270725103.2916666666671.000047347518110.996645025934248
21102.13102.488401689358102.323751.001609124854770.996503002452468
22101.01101.446443560937101.3891666666671.000564921245070.995697793381245
23100.07100.41707470015100.5670833333330.9985083724394530.996543668482816
2499.499.602350207985199.8150.997869560767270.997968419343896
2599.499.584659975809699.05666666666671.005330214784230.998145698585963
2699.3498.915480252500698.32751.005979814929711.0042917422674
2797.7297.688230191167297.638751.000506767970371.00032521634152
2896.2696.529242460696496.97208333333330.9954333158841740.997210767909983
2995.7795.936451304879496.2750.996483524330090.998264983719791
3095.0495.07600739974995.52666666666670.9952823721098720.999621277746786
3195.0494.994323887220394.76833333333331.002384663166881.00048082991605
3294.5593.993616820437593.98916666666671.000047347518111.0059193719572
339493.37876669880493.228751.001609124854771.00665283257809
3493.1492.620627151454592.56833333333331.000564921245071.00560752895461
3591.2191.847792638843191.9850.9985083724394530.993055982941789
3690.391.246024194526591.44083333333330.997869560767270.989632159835155
3790.391.403785353002990.91916666666661.005330214784230.987924073945734
3889.7490.935545370570790.3951.005979814929710.986852826738997
3989.0789.923463916077189.87791666666671.000506767970370.990508996440866
4089.0688.9929827316989.401250.9954333158841741.00075306239046
4188.9788.726893006351289.040.996483524330091.00273994710523
4288.7888.386880457193988.80583333333330.9952823721098721.00444771374182
4388.7888.825481605980788.61416666666671.002384663166880.999487966683001
4488.2388.411685875707388.40751.000047347518110.997945001569559
4587.9188.30019109865588.15833333333331.001609124854770.995581084323826
4687.7987.87086208989487.821251.000564921245070.999079762187706
4787.8987.301251183002187.43166666666670.9985083724394531.00674387605011
488886.844587873575587.030.997869560767271.01330436535788
498887.069974352103986.60833333333331.005330214784231.01068135892788
5087.0886.642945668614486.12791666666671.005979814929711.00504431524128
5185.7585.635875537504185.59251.000506767970371.00133267117058
5284.2984.636717683051985.0250.9954333158841740.995903460193834
5384.3984.090753409405584.38750.996483524330091.0035586146926
5483.7283.281081888270383.67583333333330.9952823721098721.00527032192399
5583.7283.121912872561282.92416666666671.002384663166881.00719530033381
5681.7682.185141078222682.181251.000047347518110.994827032324274
5781.5381.597756704835281.46666666666671.001609124854770.99916962539693
5880.5580.850648461208380.8051.000564921245070.996281434138992
5979.8380.037518818660380.15708333333330.9985083724394530.997407230737244
6078.9879.289052182632679.45833333333330.997869560767270.996102208638832
6178.9879.147972259604278.72833333333331.005330214784230.997877743992566
6278.2778.525946036900378.05916666666671.005979814929710.996740618231074
6377.4177.482162256365677.44291666666671.000506767970370.999068659750011
6476.7576.474579256683376.82541666666670.9954333158841741.00360146791252
6576.3875.966091074367576.23416666666670.996483524330091.00544860107686
6674.9675.338313857845175.69541666666670.9952823721098720.9949784666198
6774.96NANA1.00238466316688NA
6874.46NANA1.00004734751811NA
6974.04NANA1.00160912485477NA
7073.22NANA1.00056492124507NA
7172.97NANA0.998508372439453NA
7272.91NANA0.99786956076727NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 126.81 & NA & NA & 1.00533021478423 & NA \tabularnewline
2 & 125.8 & NA & NA & 1.00597981492971 & NA \tabularnewline
3 & 123.07 & NA & NA & 1.00050676797037 & NA \tabularnewline
4 & 119.52 & NA & NA & 0.995433315884174 & NA \tabularnewline
5 & 118.03 & NA & NA & 0.99648352433009 & NA \tabularnewline
6 & 117.27 & NA & NA & 0.995282372109872 & NA \tabularnewline
7 & 117.27 & 117.927214339373 & 117.646666666667 & 1.00238466316688 & 0.994426949342822 \tabularnewline
8 & 116.69 & 116.406344623898 & 116.400833333333 & 1.00004734751811 & 1.00243676903539 \tabularnewline
9 & 115.38 & 115.395387274518 & 115.21 & 1.00160912485477 & 0.999866656069351 \tabularnewline
10 & 114.31 & 114.183635008387 & 114.119166666667 & 1.00056492124507 & 1.00110668215812 \tabularnewline
11 & 113.33 & 112.875962917263 & 113.044583333333 & 0.998508372439453 & 1.00402244260871 \tabularnewline
12 & 111.79 & 111.704429085174 & 111.942916666667 & 0.99786956076727 & 1.00076604764491 \tabularnewline
13 & 111.79 & 111.439597646063 & 110.84875 & 1.00533021478423 & 1.00314432536853 \tabularnewline
14 & 110.92 & 110.385326775724 & 109.729166666667 & 1.00597981492971 & 1.00484369834192 \tabularnewline
15 & 109.37 & 108.659620657602 & 108.604583333333 & 1.00050676797037 & 1.00653765711769 \tabularnewline
16 & 107.04 & 107.007422402022 & 107.498333333333 & 0.995433315884174 & 1.00030444241387 \tabularnewline
17 & 104.72 & 106.017542959352 & 106.391666666667 & 0.99648352433009 & 0.987761054226189 \tabularnewline
18 & 104.14 & 104.82604233753 & 105.322916666667 & 0.995282372109872 & 0.993455420788268 \tabularnewline
19 & 104.14 & 104.539114181951 & 104.290416666667 & 1.00238466316688 & 0.996182154544987 \tabularnewline
20 & 102.95 & 103.296557270725 & 103.291666666667 & 1.00004734751811 & 0.996645025934248 \tabularnewline
21 & 102.13 & 102.488401689358 & 102.32375 & 1.00160912485477 & 0.996503002452468 \tabularnewline
22 & 101.01 & 101.446443560937 & 101.389166666667 & 1.00056492124507 & 0.995697793381245 \tabularnewline
23 & 100.07 & 100.41707470015 & 100.567083333333 & 0.998508372439453 & 0.996543668482816 \tabularnewline
24 & 99.4 & 99.6023502079851 & 99.815 & 0.99786956076727 & 0.997968419343896 \tabularnewline
25 & 99.4 & 99.5846599758096 & 99.0566666666667 & 1.00533021478423 & 0.998145698585963 \tabularnewline
26 & 99.34 & 98.9154802525006 & 98.3275 & 1.00597981492971 & 1.0042917422674 \tabularnewline
27 & 97.72 & 97.6882301911672 & 97.63875 & 1.00050676797037 & 1.00032521634152 \tabularnewline
28 & 96.26 & 96.5292424606964 & 96.9720833333333 & 0.995433315884174 & 0.997210767909983 \tabularnewline
29 & 95.77 & 95.9364513048794 & 96.275 & 0.99648352433009 & 0.998264983719791 \tabularnewline
30 & 95.04 & 95.076007399749 & 95.5266666666667 & 0.995282372109872 & 0.999621277746786 \tabularnewline
31 & 95.04 & 94.9943238872203 & 94.7683333333333 & 1.00238466316688 & 1.00048082991605 \tabularnewline
32 & 94.55 & 93.9936168204375 & 93.9891666666667 & 1.00004734751811 & 1.0059193719572 \tabularnewline
33 & 94 & 93.378766698804 & 93.22875 & 1.00160912485477 & 1.00665283257809 \tabularnewline
34 & 93.14 & 92.6206271514545 & 92.5683333333333 & 1.00056492124507 & 1.00560752895461 \tabularnewline
35 & 91.21 & 91.8477926388431 & 91.985 & 0.998508372439453 & 0.993055982941789 \tabularnewline
36 & 90.3 & 91.2460241945265 & 91.4408333333333 & 0.99786956076727 & 0.989632159835155 \tabularnewline
37 & 90.3 & 91.4037853530029 & 90.9191666666666 & 1.00533021478423 & 0.987924073945734 \tabularnewline
38 & 89.74 & 90.9355453705707 & 90.395 & 1.00597981492971 & 0.986852826738997 \tabularnewline
39 & 89.07 & 89.9234639160771 & 89.8779166666667 & 1.00050676797037 & 0.990508996440866 \tabularnewline
40 & 89.06 & 88.99298273169 & 89.40125 & 0.995433315884174 & 1.00075306239046 \tabularnewline
41 & 88.97 & 88.7268930063512 & 89.04 & 0.99648352433009 & 1.00273994710523 \tabularnewline
42 & 88.78 & 88.3868804571939 & 88.8058333333333 & 0.995282372109872 & 1.00444771374182 \tabularnewline
43 & 88.78 & 88.8254816059807 & 88.6141666666667 & 1.00238466316688 & 0.999487966683001 \tabularnewline
44 & 88.23 & 88.4116858757073 & 88.4075 & 1.00004734751811 & 0.997945001569559 \tabularnewline
45 & 87.91 & 88.300191098655 & 88.1583333333333 & 1.00160912485477 & 0.995581084323826 \tabularnewline
46 & 87.79 & 87.870862089894 & 87.82125 & 1.00056492124507 & 0.999079762187706 \tabularnewline
47 & 87.89 & 87.3012511830021 & 87.4316666666667 & 0.998508372439453 & 1.00674387605011 \tabularnewline
48 & 88 & 86.8445878735755 & 87.03 & 0.99786956076727 & 1.01330436535788 \tabularnewline
49 & 88 & 87.0699743521039 & 86.6083333333333 & 1.00533021478423 & 1.01068135892788 \tabularnewline
50 & 87.08 & 86.6429456686144 & 86.1279166666667 & 1.00597981492971 & 1.00504431524128 \tabularnewline
51 & 85.75 & 85.6358755375041 & 85.5925 & 1.00050676797037 & 1.00133267117058 \tabularnewline
52 & 84.29 & 84.6367176830519 & 85.025 & 0.995433315884174 & 0.995903460193834 \tabularnewline
53 & 84.39 & 84.0907534094055 & 84.3875 & 0.99648352433009 & 1.0035586146926 \tabularnewline
54 & 83.72 & 83.2810818882703 & 83.6758333333333 & 0.995282372109872 & 1.00527032192399 \tabularnewline
55 & 83.72 & 83.1219128725612 & 82.9241666666667 & 1.00238466316688 & 1.00719530033381 \tabularnewline
56 & 81.76 & 82.1851410782226 & 82.18125 & 1.00004734751811 & 0.994827032324274 \tabularnewline
57 & 81.53 & 81.5977567048352 & 81.4666666666667 & 1.00160912485477 & 0.99916962539693 \tabularnewline
58 & 80.55 & 80.8506484612083 & 80.805 & 1.00056492124507 & 0.996281434138992 \tabularnewline
59 & 79.83 & 80.0375188186603 & 80.1570833333333 & 0.998508372439453 & 0.997407230737244 \tabularnewline
60 & 78.98 & 79.2890521826326 & 79.4583333333333 & 0.99786956076727 & 0.996102208638832 \tabularnewline
61 & 78.98 & 79.1479722596042 & 78.7283333333333 & 1.00533021478423 & 0.997877743992566 \tabularnewline
62 & 78.27 & 78.5259460369003 & 78.0591666666667 & 1.00597981492971 & 0.996740618231074 \tabularnewline
63 & 77.41 & 77.4821622563656 & 77.4429166666667 & 1.00050676797037 & 0.999068659750011 \tabularnewline
64 & 76.75 & 76.4745792566833 & 76.8254166666667 & 0.995433315884174 & 1.00360146791252 \tabularnewline
65 & 76.38 & 75.9660910743675 & 76.2341666666667 & 0.99648352433009 & 1.00544860107686 \tabularnewline
66 & 74.96 & 75.3383138578451 & 75.6954166666667 & 0.995282372109872 & 0.9949784666198 \tabularnewline
67 & 74.96 & NA & NA & 1.00238466316688 & NA \tabularnewline
68 & 74.46 & NA & NA & 1.00004734751811 & NA \tabularnewline
69 & 74.04 & NA & NA & 1.00160912485477 & NA \tabularnewline
70 & 73.22 & NA & NA & 1.00056492124507 & NA \tabularnewline
71 & 72.97 & NA & NA & 0.998508372439453 & NA \tabularnewline
72 & 72.91 & NA & NA & 0.99786956076727 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195947&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]126.81[/C][C]NA[/C][C]NA[/C][C]1.00533021478423[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]125.8[/C][C]NA[/C][C]NA[/C][C]1.00597981492971[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]123.07[/C][C]NA[/C][C]NA[/C][C]1.00050676797037[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]119.52[/C][C]NA[/C][C]NA[/C][C]0.995433315884174[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]118.03[/C][C]NA[/C][C]NA[/C][C]0.99648352433009[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]117.27[/C][C]NA[/C][C]NA[/C][C]0.995282372109872[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]117.27[/C][C]117.927214339373[/C][C]117.646666666667[/C][C]1.00238466316688[/C][C]0.994426949342822[/C][/ROW]
[ROW][C]8[/C][C]116.69[/C][C]116.406344623898[/C][C]116.400833333333[/C][C]1.00004734751811[/C][C]1.00243676903539[/C][/ROW]
[ROW][C]9[/C][C]115.38[/C][C]115.395387274518[/C][C]115.21[/C][C]1.00160912485477[/C][C]0.999866656069351[/C][/ROW]
[ROW][C]10[/C][C]114.31[/C][C]114.183635008387[/C][C]114.119166666667[/C][C]1.00056492124507[/C][C]1.00110668215812[/C][/ROW]
[ROW][C]11[/C][C]113.33[/C][C]112.875962917263[/C][C]113.044583333333[/C][C]0.998508372439453[/C][C]1.00402244260871[/C][/ROW]
[ROW][C]12[/C][C]111.79[/C][C]111.704429085174[/C][C]111.942916666667[/C][C]0.99786956076727[/C][C]1.00076604764491[/C][/ROW]
[ROW][C]13[/C][C]111.79[/C][C]111.439597646063[/C][C]110.84875[/C][C]1.00533021478423[/C][C]1.00314432536853[/C][/ROW]
[ROW][C]14[/C][C]110.92[/C][C]110.385326775724[/C][C]109.729166666667[/C][C]1.00597981492971[/C][C]1.00484369834192[/C][/ROW]
[ROW][C]15[/C][C]109.37[/C][C]108.659620657602[/C][C]108.604583333333[/C][C]1.00050676797037[/C][C]1.00653765711769[/C][/ROW]
[ROW][C]16[/C][C]107.04[/C][C]107.007422402022[/C][C]107.498333333333[/C][C]0.995433315884174[/C][C]1.00030444241387[/C][/ROW]
[ROW][C]17[/C][C]104.72[/C][C]106.017542959352[/C][C]106.391666666667[/C][C]0.99648352433009[/C][C]0.987761054226189[/C][/ROW]
[ROW][C]18[/C][C]104.14[/C][C]104.82604233753[/C][C]105.322916666667[/C][C]0.995282372109872[/C][C]0.993455420788268[/C][/ROW]
[ROW][C]19[/C][C]104.14[/C][C]104.539114181951[/C][C]104.290416666667[/C][C]1.00238466316688[/C][C]0.996182154544987[/C][/ROW]
[ROW][C]20[/C][C]102.95[/C][C]103.296557270725[/C][C]103.291666666667[/C][C]1.00004734751811[/C][C]0.996645025934248[/C][/ROW]
[ROW][C]21[/C][C]102.13[/C][C]102.488401689358[/C][C]102.32375[/C][C]1.00160912485477[/C][C]0.996503002452468[/C][/ROW]
[ROW][C]22[/C][C]101.01[/C][C]101.446443560937[/C][C]101.389166666667[/C][C]1.00056492124507[/C][C]0.995697793381245[/C][/ROW]
[ROW][C]23[/C][C]100.07[/C][C]100.41707470015[/C][C]100.567083333333[/C][C]0.998508372439453[/C][C]0.996543668482816[/C][/ROW]
[ROW][C]24[/C][C]99.4[/C][C]99.6023502079851[/C][C]99.815[/C][C]0.99786956076727[/C][C]0.997968419343896[/C][/ROW]
[ROW][C]25[/C][C]99.4[/C][C]99.5846599758096[/C][C]99.0566666666667[/C][C]1.00533021478423[/C][C]0.998145698585963[/C][/ROW]
[ROW][C]26[/C][C]99.34[/C][C]98.9154802525006[/C][C]98.3275[/C][C]1.00597981492971[/C][C]1.0042917422674[/C][/ROW]
[ROW][C]27[/C][C]97.72[/C][C]97.6882301911672[/C][C]97.63875[/C][C]1.00050676797037[/C][C]1.00032521634152[/C][/ROW]
[ROW][C]28[/C][C]96.26[/C][C]96.5292424606964[/C][C]96.9720833333333[/C][C]0.995433315884174[/C][C]0.997210767909983[/C][/ROW]
[ROW][C]29[/C][C]95.77[/C][C]95.9364513048794[/C][C]96.275[/C][C]0.99648352433009[/C][C]0.998264983719791[/C][/ROW]
[ROW][C]30[/C][C]95.04[/C][C]95.076007399749[/C][C]95.5266666666667[/C][C]0.995282372109872[/C][C]0.999621277746786[/C][/ROW]
[ROW][C]31[/C][C]95.04[/C][C]94.9943238872203[/C][C]94.7683333333333[/C][C]1.00238466316688[/C][C]1.00048082991605[/C][/ROW]
[ROW][C]32[/C][C]94.55[/C][C]93.9936168204375[/C][C]93.9891666666667[/C][C]1.00004734751811[/C][C]1.0059193719572[/C][/ROW]
[ROW][C]33[/C][C]94[/C][C]93.378766698804[/C][C]93.22875[/C][C]1.00160912485477[/C][C]1.00665283257809[/C][/ROW]
[ROW][C]34[/C][C]93.14[/C][C]92.6206271514545[/C][C]92.5683333333333[/C][C]1.00056492124507[/C][C]1.00560752895461[/C][/ROW]
[ROW][C]35[/C][C]91.21[/C][C]91.8477926388431[/C][C]91.985[/C][C]0.998508372439453[/C][C]0.993055982941789[/C][/ROW]
[ROW][C]36[/C][C]90.3[/C][C]91.2460241945265[/C][C]91.4408333333333[/C][C]0.99786956076727[/C][C]0.989632159835155[/C][/ROW]
[ROW][C]37[/C][C]90.3[/C][C]91.4037853530029[/C][C]90.9191666666666[/C][C]1.00533021478423[/C][C]0.987924073945734[/C][/ROW]
[ROW][C]38[/C][C]89.74[/C][C]90.9355453705707[/C][C]90.395[/C][C]1.00597981492971[/C][C]0.986852826738997[/C][/ROW]
[ROW][C]39[/C][C]89.07[/C][C]89.9234639160771[/C][C]89.8779166666667[/C][C]1.00050676797037[/C][C]0.990508996440866[/C][/ROW]
[ROW][C]40[/C][C]89.06[/C][C]88.99298273169[/C][C]89.40125[/C][C]0.995433315884174[/C][C]1.00075306239046[/C][/ROW]
[ROW][C]41[/C][C]88.97[/C][C]88.7268930063512[/C][C]89.04[/C][C]0.99648352433009[/C][C]1.00273994710523[/C][/ROW]
[ROW][C]42[/C][C]88.78[/C][C]88.3868804571939[/C][C]88.8058333333333[/C][C]0.995282372109872[/C][C]1.00444771374182[/C][/ROW]
[ROW][C]43[/C][C]88.78[/C][C]88.8254816059807[/C][C]88.6141666666667[/C][C]1.00238466316688[/C][C]0.999487966683001[/C][/ROW]
[ROW][C]44[/C][C]88.23[/C][C]88.4116858757073[/C][C]88.4075[/C][C]1.00004734751811[/C][C]0.997945001569559[/C][/ROW]
[ROW][C]45[/C][C]87.91[/C][C]88.300191098655[/C][C]88.1583333333333[/C][C]1.00160912485477[/C][C]0.995581084323826[/C][/ROW]
[ROW][C]46[/C][C]87.79[/C][C]87.870862089894[/C][C]87.82125[/C][C]1.00056492124507[/C][C]0.999079762187706[/C][/ROW]
[ROW][C]47[/C][C]87.89[/C][C]87.3012511830021[/C][C]87.4316666666667[/C][C]0.998508372439453[/C][C]1.00674387605011[/C][/ROW]
[ROW][C]48[/C][C]88[/C][C]86.8445878735755[/C][C]87.03[/C][C]0.99786956076727[/C][C]1.01330436535788[/C][/ROW]
[ROW][C]49[/C][C]88[/C][C]87.0699743521039[/C][C]86.6083333333333[/C][C]1.00533021478423[/C][C]1.01068135892788[/C][/ROW]
[ROW][C]50[/C][C]87.08[/C][C]86.6429456686144[/C][C]86.1279166666667[/C][C]1.00597981492971[/C][C]1.00504431524128[/C][/ROW]
[ROW][C]51[/C][C]85.75[/C][C]85.6358755375041[/C][C]85.5925[/C][C]1.00050676797037[/C][C]1.00133267117058[/C][/ROW]
[ROW][C]52[/C][C]84.29[/C][C]84.6367176830519[/C][C]85.025[/C][C]0.995433315884174[/C][C]0.995903460193834[/C][/ROW]
[ROW][C]53[/C][C]84.39[/C][C]84.0907534094055[/C][C]84.3875[/C][C]0.99648352433009[/C][C]1.0035586146926[/C][/ROW]
[ROW][C]54[/C][C]83.72[/C][C]83.2810818882703[/C][C]83.6758333333333[/C][C]0.995282372109872[/C][C]1.00527032192399[/C][/ROW]
[ROW][C]55[/C][C]83.72[/C][C]83.1219128725612[/C][C]82.9241666666667[/C][C]1.00238466316688[/C][C]1.00719530033381[/C][/ROW]
[ROW][C]56[/C][C]81.76[/C][C]82.1851410782226[/C][C]82.18125[/C][C]1.00004734751811[/C][C]0.994827032324274[/C][/ROW]
[ROW][C]57[/C][C]81.53[/C][C]81.5977567048352[/C][C]81.4666666666667[/C][C]1.00160912485477[/C][C]0.99916962539693[/C][/ROW]
[ROW][C]58[/C][C]80.55[/C][C]80.8506484612083[/C][C]80.805[/C][C]1.00056492124507[/C][C]0.996281434138992[/C][/ROW]
[ROW][C]59[/C][C]79.83[/C][C]80.0375188186603[/C][C]80.1570833333333[/C][C]0.998508372439453[/C][C]0.997407230737244[/C][/ROW]
[ROW][C]60[/C][C]78.98[/C][C]79.2890521826326[/C][C]79.4583333333333[/C][C]0.99786956076727[/C][C]0.996102208638832[/C][/ROW]
[ROW][C]61[/C][C]78.98[/C][C]79.1479722596042[/C][C]78.7283333333333[/C][C]1.00533021478423[/C][C]0.997877743992566[/C][/ROW]
[ROW][C]62[/C][C]78.27[/C][C]78.5259460369003[/C][C]78.0591666666667[/C][C]1.00597981492971[/C][C]0.996740618231074[/C][/ROW]
[ROW][C]63[/C][C]77.41[/C][C]77.4821622563656[/C][C]77.4429166666667[/C][C]1.00050676797037[/C][C]0.999068659750011[/C][/ROW]
[ROW][C]64[/C][C]76.75[/C][C]76.4745792566833[/C][C]76.8254166666667[/C][C]0.995433315884174[/C][C]1.00360146791252[/C][/ROW]
[ROW][C]65[/C][C]76.38[/C][C]75.9660910743675[/C][C]76.2341666666667[/C][C]0.99648352433009[/C][C]1.00544860107686[/C][/ROW]
[ROW][C]66[/C][C]74.96[/C][C]75.3383138578451[/C][C]75.6954166666667[/C][C]0.995282372109872[/C][C]0.9949784666198[/C][/ROW]
[ROW][C]67[/C][C]74.96[/C][C]NA[/C][C]NA[/C][C]1.00238466316688[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]74.46[/C][C]NA[/C][C]NA[/C][C]1.00004734751811[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]74.04[/C][C]NA[/C][C]NA[/C][C]1.00160912485477[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]73.22[/C][C]NA[/C][C]NA[/C][C]1.00056492124507[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]72.97[/C][C]NA[/C][C]NA[/C][C]0.998508372439453[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]72.91[/C][C]NA[/C][C]NA[/C][C]0.99786956076727[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195947&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195947&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
1126.81NANA1.00533021478423NA
2125.8NANA1.00597981492971NA
3123.07NANA1.00050676797037NA
4119.52NANA0.995433315884174NA
5118.03NANA0.99648352433009NA
6117.27NANA0.995282372109872NA
7117.27117.927214339373117.6466666666671.002384663166880.994426949342822
8116.69116.406344623898116.4008333333331.000047347518111.00243676903539
9115.38115.395387274518115.211.001609124854770.999866656069351
10114.31114.183635008387114.1191666666671.000564921245071.00110668215812
11113.33112.875962917263113.0445833333330.9985083724394531.00402244260871
12111.79111.704429085174111.9429166666670.997869560767271.00076604764491
13111.79111.439597646063110.848751.005330214784231.00314432536853
14110.92110.385326775724109.7291666666671.005979814929711.00484369834192
15109.37108.659620657602108.6045833333331.000506767970371.00653765711769
16107.04107.007422402022107.4983333333330.9954333158841741.00030444241387
17104.72106.017542959352106.3916666666670.996483524330090.987761054226189
18104.14104.82604233753105.3229166666670.9952823721098720.993455420788268
19104.14104.539114181951104.2904166666671.002384663166880.996182154544987
20102.95103.296557270725103.2916666666671.000047347518110.996645025934248
21102.13102.488401689358102.323751.001609124854770.996503002452468
22101.01101.446443560937101.3891666666671.000564921245070.995697793381245
23100.07100.41707470015100.5670833333330.9985083724394530.996543668482816
2499.499.602350207985199.8150.997869560767270.997968419343896
2599.499.584659975809699.05666666666671.005330214784230.998145698585963
2699.3498.915480252500698.32751.005979814929711.0042917422674
2797.7297.688230191167297.638751.000506767970371.00032521634152
2896.2696.529242460696496.97208333333330.9954333158841740.997210767909983
2995.7795.936451304879496.2750.996483524330090.998264983719791
3095.0495.07600739974995.52666666666670.9952823721098720.999621277746786
3195.0494.994323887220394.76833333333331.002384663166881.00048082991605
3294.5593.993616820437593.98916666666671.000047347518111.0059193719572
339493.37876669880493.228751.001609124854771.00665283257809
3493.1492.620627151454592.56833333333331.000564921245071.00560752895461
3591.2191.847792638843191.9850.9985083724394530.993055982941789
3690.391.246024194526591.44083333333330.997869560767270.989632159835155
3790.391.403785353002990.91916666666661.005330214784230.987924073945734
3889.7490.935545370570790.3951.005979814929710.986852826738997
3989.0789.923463916077189.87791666666671.000506767970370.990508996440866
4089.0688.9929827316989.401250.9954333158841741.00075306239046
4188.9788.726893006351289.040.996483524330091.00273994710523
4288.7888.386880457193988.80583333333330.9952823721098721.00444771374182
4388.7888.825481605980788.61416666666671.002384663166880.999487966683001
4488.2388.411685875707388.40751.000047347518110.997945001569559
4587.9188.30019109865588.15833333333331.001609124854770.995581084323826
4687.7987.87086208989487.821251.000564921245070.999079762187706
4787.8987.301251183002187.43166666666670.9985083724394531.00674387605011
488886.844587873575587.030.997869560767271.01330436535788
498887.069974352103986.60833333333331.005330214784231.01068135892788
5087.0886.642945668614486.12791666666671.005979814929711.00504431524128
5185.7585.635875537504185.59251.000506767970371.00133267117058
5284.2984.636717683051985.0250.9954333158841740.995903460193834
5384.3984.090753409405584.38750.996483524330091.0035586146926
5483.7283.281081888270383.67583333333330.9952823721098721.00527032192399
5583.7283.121912872561282.92416666666671.002384663166881.00719530033381
5681.7682.185141078222682.181251.000047347518110.994827032324274
5781.5381.597756704835281.46666666666671.001609124854770.99916962539693
5880.5580.850648461208380.8051.000564921245070.996281434138992
5979.8380.037518818660380.15708333333330.9985083724394530.997407230737244
6078.9879.289052182632679.45833333333330.997869560767270.996102208638832
6178.9879.147972259604278.72833333333331.005330214784230.997877743992566
6278.2778.525946036900378.05916666666671.005979814929710.996740618231074
6377.4177.482162256365677.44291666666671.000506767970370.999068659750011
6476.7576.474579256683376.82541666666670.9954333158841741.00360146791252
6576.3875.966091074367576.23416666666670.996483524330091.00544860107686
6674.9675.338313857845175.69541666666670.9952823721098720.9949784666198
6774.96NANA1.00238466316688NA
6874.46NANA1.00004734751811NA
6974.04NANA1.00160912485477NA
7073.22NANA1.00056492124507NA
7172.97NANA0.998508372439453NA
7272.91NANA0.99786956076727NA



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')