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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 31 May 2010 18:37:21 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/31/t1275331075cg0eslmxcbfvqul.htm/, Retrieved Mon, 29 Apr 2024 15:44:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76779, Retrieved Mon, 29 Apr 2024 15:44:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W52
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2010-05-31 18:37:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
127.87
127.94
122.44
120.25
118.13
114.93
112.57
110.81
109.02
106.39
103.75
102.60
101.63
100.00
97.98
96.56
94.32
91.79
89.61
86.83
83.94
81.41
80.47
79.24
78.23
74.60
70.14
65.15
59.92
55.67
52.20
49.97
47.83
44.66
40.91
36.28
32.20
30.10
28.55
27.36
26.33
25.38
24.69
24.01
23.05
22.15
21.26
20.81
20.52
20.32
20.26
20.02
19.76
19.15
18.63
18.73
18.48
18.53
18.37
16.80
16.94
17.21
15.26
14.99
15.80
4.71
4.65
4.50




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76779&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]1 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=76779&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76779&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1127.87NANA0.993528169696577NA
2127.94NANA0.995624810269576NA
3122.44NANA0.998193115366954NA
4120.25NANA0.999299974571145NA
5118.13NANA0.996161766663678NA
6114.93NANA0.990811501964716NA
7112.57112.717790793206113.6316666666670.9919575598926850.998688842354294
8110.81111.810171147522111.3741666666671.003914772104740.99105473914173
9109.02110.102972624731109.1908333333331.008353625149220.990164001943684
10106.39108.571857759772107.1845833333331.012942854124130.979904021126727
11103.75106.642183284439105.2054166666671.013656774178510.9728795567067
12102.6102.790231969635103.2491666666670.995555076018060.998149318607523
13101.63100.672553555071101.3283333333330.9935281696965771.00951050123513
1410098.937726458513599.37250.9956248102695761.01073678948881
1597.9897.152472263473397.32833333333330.9981931153669541.00851782478867
1696.5695.175827828092395.24250.9992999745711451.01454331633876
1794.3292.873821775665893.23166666666670.9961617666636781.01557143010468
1891.7990.449530661855791.28833333333330.9908115019647161.01482008063873
1989.6188.621488400812589.340.9919575598926851.01115431050669
2086.8387.648452369891587.30666666666671.003914772104740.99066210129487
2183.9485.799129374572285.08833333333331.008353625149220.978331605598749
2281.4183.688916548213182.61958333333331.012942854124130.972769195226703
2380.4780.96836897944479.87751.013656774178510.993844892941212
2479.2476.597177919599576.93916666666670.995555076018061.03450286488589
2578.2373.397307506405373.87541666666670.9935281696965771.06584291246887
2674.670.471153758222570.78083333333330.9956248102695761.05858916764642
2770.1467.618017548755567.74041666666670.9981931153669541.03729749174362
2865.1564.659288479636664.70458333333330.9992999745711451.00758918837342
2959.9261.288852693982861.5250.9961617666636780.97766555199169
3055.6757.552937444123858.08666666666670.9908115019647160.967283382434617
3152.253.941412160014454.378750.9919575598926850.967716600469255
3249.9750.804780233647450.60666666666671.003914772104740.983568864390156
3347.8347.412367307172747.01958333333331.008353625149221.00880851804175
3444.6644.277842451378543.71208333333331.012942854124131.00863089815275
3540.9141.294265195086340.73791666666671.013656774178510.990694465847233
3636.2837.907003963232638.076250.995555076018060.957079067372068
3732.235.437079962723335.66791666666670.9935281696965770.908652745482177
3830.133.293693655414633.440.9956248102695760.904075117394034
3928.5531.26923116646631.32583333333330.9981931153669540.913038118782334
4027.3629.334867128525429.35541666666670.9992999745711450.932678504392985
4126.3327.492819557709227.598750.9961617666636780.957704608824557
4225.3825.895271441973726.13541666666670.9908115019647160.980101716905022
4324.6924.803072153816725.00416666666670.9919575598926850.99544120368979
4424.0124.204385155445424.111.003914772104740.99196901081366
4523.0523.552199652079223.35708333333331.008353625149220.978677165636422
4622.1522.999711621933522.70583333333331.012942854124130.963055553221669
4721.2622.428423199667322.126251.013656774178510.947904353807423
4820.8121.496937793535021.59291666666670.995555076018060.96804485363764
4920.5220.944401757345221.08083333333330.9935281696965770.979736744822687
5020.3220.518167964972220.60833333333330.9956248102695760.990341829479586
5120.2620.161421361422120.19791666666670.9981931153669541.00488946869423
5220.0219.842766495067719.85666666666670.9992999745711451.00893189490368
5319.7619.510243267510919.58541666666670.9961617666636781.01280131308793
5419.1519.120597797289919.29791666666670.9908115019647161.00153772403048
5518.6318.82900774936318.98166666666670.9919575598926850.989430789343123
5618.7318.776134323110718.70291666666671.003914772104740.99754292751017
5718.4818.518414325865518.3651.008353625149220.997925614731935
5818.5318.179369814870317.94708333333331.012942854124131.01928725740773
5918.3717.812483664251917.57251.013656774178511.03129919141299
6016.816.731132681713516.80583333333330.995555076018061.00411611811326
6116.94NA15.6216666666667NANA
6217.21NA14.44625NANA
6315.26NANANANA
6414.99NANANANA
6515.8NANANANA
664.71NANANANA
674.65NANANANA
684.5NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 127.87 & NA & NA & 0.993528169696577 & NA \tabularnewline
2 & 127.94 & NA & NA & 0.995624810269576 & NA \tabularnewline
3 & 122.44 & NA & NA & 0.998193115366954 & NA \tabularnewline
4 & 120.25 & NA & NA & 0.999299974571145 & NA \tabularnewline
5 & 118.13 & NA & NA & 0.996161766663678 & NA \tabularnewline
6 & 114.93 & NA & NA & 0.990811501964716 & NA \tabularnewline
7 & 112.57 & 112.717790793206 & 113.631666666667 & 0.991957559892685 & 0.998688842354294 \tabularnewline
8 & 110.81 & 111.810171147522 & 111.374166666667 & 1.00391477210474 & 0.99105473914173 \tabularnewline
9 & 109.02 & 110.102972624731 & 109.190833333333 & 1.00835362514922 & 0.990164001943684 \tabularnewline
10 & 106.39 & 108.571857759772 & 107.184583333333 & 1.01294285412413 & 0.979904021126727 \tabularnewline
11 & 103.75 & 106.642183284439 & 105.205416666667 & 1.01365677417851 & 0.9728795567067 \tabularnewline
12 & 102.6 & 102.790231969635 & 103.249166666667 & 0.99555507601806 & 0.998149318607523 \tabularnewline
13 & 101.63 & 100.672553555071 & 101.328333333333 & 0.993528169696577 & 1.00951050123513 \tabularnewline
14 & 100 & 98.9377264585135 & 99.3725 & 0.995624810269576 & 1.01073678948881 \tabularnewline
15 & 97.98 & 97.1524722634733 & 97.3283333333333 & 0.998193115366954 & 1.00851782478867 \tabularnewline
16 & 96.56 & 95.1758278280923 & 95.2425 & 0.999299974571145 & 1.01454331633876 \tabularnewline
17 & 94.32 & 92.8738217756658 & 93.2316666666667 & 0.996161766663678 & 1.01557143010468 \tabularnewline
18 & 91.79 & 90.4495306618557 & 91.2883333333333 & 0.990811501964716 & 1.01482008063873 \tabularnewline
19 & 89.61 & 88.6214884008125 & 89.34 & 0.991957559892685 & 1.01115431050669 \tabularnewline
20 & 86.83 & 87.6484523698915 & 87.3066666666667 & 1.00391477210474 & 0.99066210129487 \tabularnewline
21 & 83.94 & 85.7991293745722 & 85.0883333333333 & 1.00835362514922 & 0.978331605598749 \tabularnewline
22 & 81.41 & 83.6889165482131 & 82.6195833333333 & 1.01294285412413 & 0.972769195226703 \tabularnewline
23 & 80.47 & 80.968368979444 & 79.8775 & 1.01365677417851 & 0.993844892941212 \tabularnewline
24 & 79.24 & 76.5971779195995 & 76.9391666666667 & 0.99555507601806 & 1.03450286488589 \tabularnewline
25 & 78.23 & 73.3973075064053 & 73.8754166666667 & 0.993528169696577 & 1.06584291246887 \tabularnewline
26 & 74.6 & 70.4711537582225 & 70.7808333333333 & 0.995624810269576 & 1.05858916764642 \tabularnewline
27 & 70.14 & 67.6180175487555 & 67.7404166666667 & 0.998193115366954 & 1.03729749174362 \tabularnewline
28 & 65.15 & 64.6592884796366 & 64.7045833333333 & 0.999299974571145 & 1.00758918837342 \tabularnewline
29 & 59.92 & 61.2888526939828 & 61.525 & 0.996161766663678 & 0.97766555199169 \tabularnewline
30 & 55.67 & 57.5529374441238 & 58.0866666666667 & 0.990811501964716 & 0.967283382434617 \tabularnewline
31 & 52.2 & 53.9414121600144 & 54.37875 & 0.991957559892685 & 0.967716600469255 \tabularnewline
32 & 49.97 & 50.8047802336474 & 50.6066666666667 & 1.00391477210474 & 0.983568864390156 \tabularnewline
33 & 47.83 & 47.4123673071727 & 47.0195833333333 & 1.00835362514922 & 1.00880851804175 \tabularnewline
34 & 44.66 & 44.2778424513785 & 43.7120833333333 & 1.01294285412413 & 1.00863089815275 \tabularnewline
35 & 40.91 & 41.2942651950863 & 40.7379166666667 & 1.01365677417851 & 0.990694465847233 \tabularnewline
36 & 36.28 & 37.9070039632326 & 38.07625 & 0.99555507601806 & 0.957079067372068 \tabularnewline
37 & 32.2 & 35.4370799627233 & 35.6679166666667 & 0.993528169696577 & 0.908652745482177 \tabularnewline
38 & 30.1 & 33.2936936554146 & 33.44 & 0.995624810269576 & 0.904075117394034 \tabularnewline
39 & 28.55 & 31.269231166466 & 31.3258333333333 & 0.998193115366954 & 0.913038118782334 \tabularnewline
40 & 27.36 & 29.3348671285254 & 29.3554166666667 & 0.999299974571145 & 0.932678504392985 \tabularnewline
41 & 26.33 & 27.4928195577092 & 27.59875 & 0.996161766663678 & 0.957704608824557 \tabularnewline
42 & 25.38 & 25.8952714419737 & 26.1354166666667 & 0.990811501964716 & 0.980101716905022 \tabularnewline
43 & 24.69 & 24.8030721538167 & 25.0041666666667 & 0.991957559892685 & 0.99544120368979 \tabularnewline
44 & 24.01 & 24.2043851554454 & 24.11 & 1.00391477210474 & 0.99196901081366 \tabularnewline
45 & 23.05 & 23.5521996520792 & 23.3570833333333 & 1.00835362514922 & 0.978677165636422 \tabularnewline
46 & 22.15 & 22.9997116219335 & 22.7058333333333 & 1.01294285412413 & 0.963055553221669 \tabularnewline
47 & 21.26 & 22.4284231996673 & 22.12625 & 1.01365677417851 & 0.947904353807423 \tabularnewline
48 & 20.81 & 21.4969377935350 & 21.5929166666667 & 0.99555507601806 & 0.96804485363764 \tabularnewline
49 & 20.52 & 20.9444017573452 & 21.0808333333333 & 0.993528169696577 & 0.979736744822687 \tabularnewline
50 & 20.32 & 20.5181679649722 & 20.6083333333333 & 0.995624810269576 & 0.990341829479586 \tabularnewline
51 & 20.26 & 20.1614213614221 & 20.1979166666667 & 0.998193115366954 & 1.00488946869423 \tabularnewline
52 & 20.02 & 19.8427664950677 & 19.8566666666667 & 0.999299974571145 & 1.00893189490368 \tabularnewline
53 & 19.76 & 19.5102432675109 & 19.5854166666667 & 0.996161766663678 & 1.01280131308793 \tabularnewline
54 & 19.15 & 19.1205977972899 & 19.2979166666667 & 0.990811501964716 & 1.00153772403048 \tabularnewline
55 & 18.63 & 18.829007749363 & 18.9816666666667 & 0.991957559892685 & 0.989430789343123 \tabularnewline
56 & 18.73 & 18.7761343231107 & 18.7029166666667 & 1.00391477210474 & 0.99754292751017 \tabularnewline
57 & 18.48 & 18.5184143258655 & 18.365 & 1.00835362514922 & 0.997925614731935 \tabularnewline
58 & 18.53 & 18.1793698148703 & 17.9470833333333 & 1.01294285412413 & 1.01928725740773 \tabularnewline
59 & 18.37 & 17.8124836642519 & 17.5725 & 1.01365677417851 & 1.03129919141299 \tabularnewline
60 & 16.8 & 16.7311326817135 & 16.8058333333333 & 0.99555507601806 & 1.00411611811326 \tabularnewline
61 & 16.94 & NA & 15.6216666666667 & NA & NA \tabularnewline
62 & 17.21 & NA & 14.44625 & NA & NA \tabularnewline
63 & 15.26 & NA & NA & NA & NA \tabularnewline
64 & 14.99 & NA & NA & NA & NA \tabularnewline
65 & 15.8 & NA & NA & NA & NA \tabularnewline
66 & 4.71 & NA & NA & NA & NA \tabularnewline
67 & 4.65 & NA & NA & NA & NA \tabularnewline
68 & 4.5 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76779&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]127.87[/C][C]NA[/C][C]NA[/C][C]0.993528169696577[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]127.94[/C][C]NA[/C][C]NA[/C][C]0.995624810269576[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]122.44[/C][C]NA[/C][C]NA[/C][C]0.998193115366954[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]120.25[/C][C]NA[/C][C]NA[/C][C]0.999299974571145[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]118.13[/C][C]NA[/C][C]NA[/C][C]0.996161766663678[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]114.93[/C][C]NA[/C][C]NA[/C][C]0.990811501964716[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]112.57[/C][C]112.717790793206[/C][C]113.631666666667[/C][C]0.991957559892685[/C][C]0.998688842354294[/C][/ROW]
[ROW][C]8[/C][C]110.81[/C][C]111.810171147522[/C][C]111.374166666667[/C][C]1.00391477210474[/C][C]0.99105473914173[/C][/ROW]
[ROW][C]9[/C][C]109.02[/C][C]110.102972624731[/C][C]109.190833333333[/C][C]1.00835362514922[/C][C]0.990164001943684[/C][/ROW]
[ROW][C]10[/C][C]106.39[/C][C]108.571857759772[/C][C]107.184583333333[/C][C]1.01294285412413[/C][C]0.979904021126727[/C][/ROW]
[ROW][C]11[/C][C]103.75[/C][C]106.642183284439[/C][C]105.205416666667[/C][C]1.01365677417851[/C][C]0.9728795567067[/C][/ROW]
[ROW][C]12[/C][C]102.6[/C][C]102.790231969635[/C][C]103.249166666667[/C][C]0.99555507601806[/C][C]0.998149318607523[/C][/ROW]
[ROW][C]13[/C][C]101.63[/C][C]100.672553555071[/C][C]101.328333333333[/C][C]0.993528169696577[/C][C]1.00951050123513[/C][/ROW]
[ROW][C]14[/C][C]100[/C][C]98.9377264585135[/C][C]99.3725[/C][C]0.995624810269576[/C][C]1.01073678948881[/C][/ROW]
[ROW][C]15[/C][C]97.98[/C][C]97.1524722634733[/C][C]97.3283333333333[/C][C]0.998193115366954[/C][C]1.00851782478867[/C][/ROW]
[ROW][C]16[/C][C]96.56[/C][C]95.1758278280923[/C][C]95.2425[/C][C]0.999299974571145[/C][C]1.01454331633876[/C][/ROW]
[ROW][C]17[/C][C]94.32[/C][C]92.8738217756658[/C][C]93.2316666666667[/C][C]0.996161766663678[/C][C]1.01557143010468[/C][/ROW]
[ROW][C]18[/C][C]91.79[/C][C]90.4495306618557[/C][C]91.2883333333333[/C][C]0.990811501964716[/C][C]1.01482008063873[/C][/ROW]
[ROW][C]19[/C][C]89.61[/C][C]88.6214884008125[/C][C]89.34[/C][C]0.991957559892685[/C][C]1.01115431050669[/C][/ROW]
[ROW][C]20[/C][C]86.83[/C][C]87.6484523698915[/C][C]87.3066666666667[/C][C]1.00391477210474[/C][C]0.99066210129487[/C][/ROW]
[ROW][C]21[/C][C]83.94[/C][C]85.7991293745722[/C][C]85.0883333333333[/C][C]1.00835362514922[/C][C]0.978331605598749[/C][/ROW]
[ROW][C]22[/C][C]81.41[/C][C]83.6889165482131[/C][C]82.6195833333333[/C][C]1.01294285412413[/C][C]0.972769195226703[/C][/ROW]
[ROW][C]23[/C][C]80.47[/C][C]80.968368979444[/C][C]79.8775[/C][C]1.01365677417851[/C][C]0.993844892941212[/C][/ROW]
[ROW][C]24[/C][C]79.24[/C][C]76.5971779195995[/C][C]76.9391666666667[/C][C]0.99555507601806[/C][C]1.03450286488589[/C][/ROW]
[ROW][C]25[/C][C]78.23[/C][C]73.3973075064053[/C][C]73.8754166666667[/C][C]0.993528169696577[/C][C]1.06584291246887[/C][/ROW]
[ROW][C]26[/C][C]74.6[/C][C]70.4711537582225[/C][C]70.7808333333333[/C][C]0.995624810269576[/C][C]1.05858916764642[/C][/ROW]
[ROW][C]27[/C][C]70.14[/C][C]67.6180175487555[/C][C]67.7404166666667[/C][C]0.998193115366954[/C][C]1.03729749174362[/C][/ROW]
[ROW][C]28[/C][C]65.15[/C][C]64.6592884796366[/C][C]64.7045833333333[/C][C]0.999299974571145[/C][C]1.00758918837342[/C][/ROW]
[ROW][C]29[/C][C]59.92[/C][C]61.2888526939828[/C][C]61.525[/C][C]0.996161766663678[/C][C]0.97766555199169[/C][/ROW]
[ROW][C]30[/C][C]55.67[/C][C]57.5529374441238[/C][C]58.0866666666667[/C][C]0.990811501964716[/C][C]0.967283382434617[/C][/ROW]
[ROW][C]31[/C][C]52.2[/C][C]53.9414121600144[/C][C]54.37875[/C][C]0.991957559892685[/C][C]0.967716600469255[/C][/ROW]
[ROW][C]32[/C][C]49.97[/C][C]50.8047802336474[/C][C]50.6066666666667[/C][C]1.00391477210474[/C][C]0.983568864390156[/C][/ROW]
[ROW][C]33[/C][C]47.83[/C][C]47.4123673071727[/C][C]47.0195833333333[/C][C]1.00835362514922[/C][C]1.00880851804175[/C][/ROW]
[ROW][C]34[/C][C]44.66[/C][C]44.2778424513785[/C][C]43.7120833333333[/C][C]1.01294285412413[/C][C]1.00863089815275[/C][/ROW]
[ROW][C]35[/C][C]40.91[/C][C]41.2942651950863[/C][C]40.7379166666667[/C][C]1.01365677417851[/C][C]0.990694465847233[/C][/ROW]
[ROW][C]36[/C][C]36.28[/C][C]37.9070039632326[/C][C]38.07625[/C][C]0.99555507601806[/C][C]0.957079067372068[/C][/ROW]
[ROW][C]37[/C][C]32.2[/C][C]35.4370799627233[/C][C]35.6679166666667[/C][C]0.993528169696577[/C][C]0.908652745482177[/C][/ROW]
[ROW][C]38[/C][C]30.1[/C][C]33.2936936554146[/C][C]33.44[/C][C]0.995624810269576[/C][C]0.904075117394034[/C][/ROW]
[ROW][C]39[/C][C]28.55[/C][C]31.269231166466[/C][C]31.3258333333333[/C][C]0.998193115366954[/C][C]0.913038118782334[/C][/ROW]
[ROW][C]40[/C][C]27.36[/C][C]29.3348671285254[/C][C]29.3554166666667[/C][C]0.999299974571145[/C][C]0.932678504392985[/C][/ROW]
[ROW][C]41[/C][C]26.33[/C][C]27.4928195577092[/C][C]27.59875[/C][C]0.996161766663678[/C][C]0.957704608824557[/C][/ROW]
[ROW][C]42[/C][C]25.38[/C][C]25.8952714419737[/C][C]26.1354166666667[/C][C]0.990811501964716[/C][C]0.980101716905022[/C][/ROW]
[ROW][C]43[/C][C]24.69[/C][C]24.8030721538167[/C][C]25.0041666666667[/C][C]0.991957559892685[/C][C]0.99544120368979[/C][/ROW]
[ROW][C]44[/C][C]24.01[/C][C]24.2043851554454[/C][C]24.11[/C][C]1.00391477210474[/C][C]0.99196901081366[/C][/ROW]
[ROW][C]45[/C][C]23.05[/C][C]23.5521996520792[/C][C]23.3570833333333[/C][C]1.00835362514922[/C][C]0.978677165636422[/C][/ROW]
[ROW][C]46[/C][C]22.15[/C][C]22.9997116219335[/C][C]22.7058333333333[/C][C]1.01294285412413[/C][C]0.963055553221669[/C][/ROW]
[ROW][C]47[/C][C]21.26[/C][C]22.4284231996673[/C][C]22.12625[/C][C]1.01365677417851[/C][C]0.947904353807423[/C][/ROW]
[ROW][C]48[/C][C]20.81[/C][C]21.4969377935350[/C][C]21.5929166666667[/C][C]0.99555507601806[/C][C]0.96804485363764[/C][/ROW]
[ROW][C]49[/C][C]20.52[/C][C]20.9444017573452[/C][C]21.0808333333333[/C][C]0.993528169696577[/C][C]0.979736744822687[/C][/ROW]
[ROW][C]50[/C][C]20.32[/C][C]20.5181679649722[/C][C]20.6083333333333[/C][C]0.995624810269576[/C][C]0.990341829479586[/C][/ROW]
[ROW][C]51[/C][C]20.26[/C][C]20.1614213614221[/C][C]20.1979166666667[/C][C]0.998193115366954[/C][C]1.00488946869423[/C][/ROW]
[ROW][C]52[/C][C]20.02[/C][C]19.8427664950677[/C][C]19.8566666666667[/C][C]0.999299974571145[/C][C]1.00893189490368[/C][/ROW]
[ROW][C]53[/C][C]19.76[/C][C]19.5102432675109[/C][C]19.5854166666667[/C][C]0.996161766663678[/C][C]1.01280131308793[/C][/ROW]
[ROW][C]54[/C][C]19.15[/C][C]19.1205977972899[/C][C]19.2979166666667[/C][C]0.990811501964716[/C][C]1.00153772403048[/C][/ROW]
[ROW][C]55[/C][C]18.63[/C][C]18.829007749363[/C][C]18.9816666666667[/C][C]0.991957559892685[/C][C]0.989430789343123[/C][/ROW]
[ROW][C]56[/C][C]18.73[/C][C]18.7761343231107[/C][C]18.7029166666667[/C][C]1.00391477210474[/C][C]0.99754292751017[/C][/ROW]
[ROW][C]57[/C][C]18.48[/C][C]18.5184143258655[/C][C]18.365[/C][C]1.00835362514922[/C][C]0.997925614731935[/C][/ROW]
[ROW][C]58[/C][C]18.53[/C][C]18.1793698148703[/C][C]17.9470833333333[/C][C]1.01294285412413[/C][C]1.01928725740773[/C][/ROW]
[ROW][C]59[/C][C]18.37[/C][C]17.8124836642519[/C][C]17.5725[/C][C]1.01365677417851[/C][C]1.03129919141299[/C][/ROW]
[ROW][C]60[/C][C]16.8[/C][C]16.7311326817135[/C][C]16.8058333333333[/C][C]0.99555507601806[/C][C]1.00411611811326[/C][/ROW]
[ROW][C]61[/C][C]16.94[/C][C]NA[/C][C]15.6216666666667[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]62[/C][C]17.21[/C][C]NA[/C][C]14.44625[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]63[/C][C]15.26[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]64[/C][C]14.99[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]65[/C][C]15.8[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]4.71[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]4.65[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]4.5[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76779&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76779&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
1127.87NANA0.993528169696577NA
2127.94NANA0.995624810269576NA
3122.44NANA0.998193115366954NA
4120.25NANA0.999299974571145NA
5118.13NANA0.996161766663678NA
6114.93NANA0.990811501964716NA
7112.57112.717790793206113.6316666666670.9919575598926850.998688842354294
8110.81111.810171147522111.3741666666671.003914772104740.99105473914173
9109.02110.102972624731109.1908333333331.008353625149220.990164001943684
10106.39108.571857759772107.1845833333331.012942854124130.979904021126727
11103.75106.642183284439105.2054166666671.013656774178510.9728795567067
12102.6102.790231969635103.2491666666670.995555076018060.998149318607523
13101.63100.672553555071101.3283333333330.9935281696965771.00951050123513
1410098.937726458513599.37250.9956248102695761.01073678948881
1597.9897.152472263473397.32833333333330.9981931153669541.00851782478867
1696.5695.175827828092395.24250.9992999745711451.01454331633876
1794.3292.873821775665893.23166666666670.9961617666636781.01557143010468
1891.7990.449530661855791.28833333333330.9908115019647161.01482008063873
1989.6188.621488400812589.340.9919575598926851.01115431050669
2086.8387.648452369891587.30666666666671.003914772104740.99066210129487
2183.9485.799129374572285.08833333333331.008353625149220.978331605598749
2281.4183.688916548213182.61958333333331.012942854124130.972769195226703
2380.4780.96836897944479.87751.013656774178510.993844892941212
2479.2476.597177919599576.93916666666670.995555076018061.03450286488589
2578.2373.397307506405373.87541666666670.9935281696965771.06584291246887
2674.670.471153758222570.78083333333330.9956248102695761.05858916764642
2770.1467.618017548755567.74041666666670.9981931153669541.03729749174362
2865.1564.659288479636664.70458333333330.9992999745711451.00758918837342
2959.9261.288852693982861.5250.9961617666636780.97766555199169
3055.6757.552937444123858.08666666666670.9908115019647160.967283382434617
3152.253.941412160014454.378750.9919575598926850.967716600469255
3249.9750.804780233647450.60666666666671.003914772104740.983568864390156
3347.8347.412367307172747.01958333333331.008353625149221.00880851804175
3444.6644.277842451378543.71208333333331.012942854124131.00863089815275
3540.9141.294265195086340.73791666666671.013656774178510.990694465847233
3636.2837.907003963232638.076250.995555076018060.957079067372068
3732.235.437079962723335.66791666666670.9935281696965770.908652745482177
3830.133.293693655414633.440.9956248102695760.904075117394034
3928.5531.26923116646631.32583333333330.9981931153669540.913038118782334
4027.3629.334867128525429.35541666666670.9992999745711450.932678504392985
4126.3327.492819557709227.598750.9961617666636780.957704608824557
4225.3825.895271441973726.13541666666670.9908115019647160.980101716905022
4324.6924.803072153816725.00416666666670.9919575598926850.99544120368979
4424.0124.204385155445424.111.003914772104740.99196901081366
4523.0523.552199652079223.35708333333331.008353625149220.978677165636422
4622.1522.999711621933522.70583333333331.012942854124130.963055553221669
4721.2622.428423199667322.126251.013656774178510.947904353807423
4820.8121.496937793535021.59291666666670.995555076018060.96804485363764
4920.5220.944401757345221.08083333333330.9935281696965770.979736744822687
5020.3220.518167964972220.60833333333330.9956248102695760.990341829479586
5120.2620.161421361422120.19791666666670.9981931153669541.00488946869423
5220.0219.842766495067719.85666666666670.9992999745711451.00893189490368
5319.7619.510243267510919.58541666666670.9961617666636781.01280131308793
5419.1519.120597797289919.29791666666670.9908115019647161.00153772403048
5518.6318.82900774936318.98166666666670.9919575598926850.989430789343123
5618.7318.776134323110718.70291666666671.003914772104740.99754292751017
5718.4818.518414325865518.3651.008353625149220.997925614731935
5818.5318.179369814870317.94708333333331.012942854124131.01928725740773
5918.3717.812483664251917.57251.013656774178511.03129919141299
6016.816.731132681713516.80583333333330.995555076018061.00411611811326
6116.94NA15.6216666666667NANA
6217.21NA14.44625NANA
6315.26NANANANA
6414.99NANANANA
6515.8NANANANA
664.71NANANANA
674.65NANANANA
684.5NANANANA



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')