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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 computationMon, 21 Dec 2009 01:12:17 -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/t1261383602jffv4ihmko2agyl.htm/, Retrieved Sun, 05 May 2024 09:58:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70070, Retrieved Sun, 05 May 2024 09:58:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171
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]
-    D      [Classical Decomposition] [] [2009-12-21 08:12:17] [479db4778e5b462dda1f74ecdd6ccff3] [Current]
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Dataseries X:
43.9
51
51.9
54.3
50.3
57.2
48.8
41.1
58
63
53.8
54.7
55.5
56.1
69.6
69.4
57.2
68
53.3
47.9
60.8
61.7
57.8
51.4
50.5
48.1
58.7
54
56.1
60.4
51.2
50.7
56.4
53.3
52.6
47.7
49.5
48.5
55.3
49.8
57.4
64.6
53
41.5
55.9
58.4
53.5
50.6
58.5
49.1
61.1
52.3
58.4
65.5
61.7
45.1
52.1
59.3
57.9
45
64.9
63.8
69.4
71.1
62.9
73.5
62.7
51.9
73.3
66.7
62.5
70.3




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=70070&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=70070&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70070&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
143.9NANA0.98637144227593NA
251NANA0.93494232384568NA
351.9NANA1.10265600726763NA
454.3NANA1.03489917282345NA
550.3NANA1.02461027121193NA
657.2NANA1.15941232296446NA
748.851.582070528763452.81666666666670.9766248758995920.94606516372366
841.143.922685219096653.51250.8207929963858270.935735139939274
95855.71775955796254.46251.023048144282071.04096073604079
106359.259268729229155.82916666666671.061439248825661.06312483010655
1153.855.921842943461556.74583333333330.9854792794207180.962056991834
1254.751.144296368917757.48333333333330.889723914797061.06952297486770
1355.557.328730201278958.12083333333330.986371442275930.96810098191852
1456.154.779828991324858.59166666666670.934942323845681.02409958251027
1569.665.047515628729358.99166666666671.102656007267631.06998705987873
1669.461.115108235111559.05416666666671.034899172823451.13556208937758
1757.260.622774380039259.16666666666671.024610271211930.943539793171092
186868.632378634817359.19583333333331.159412322964460.99078600148507
1953.357.47437394669158.850.9766248758995920.927369823104766
2047.947.859071630930258.30833333333330.8207929963858271.0008551851859
2160.858.846581799224657.52083333333331.023048144282071.03319510056574
2261.759.891709614987756.4251.061439248825661.03019266600731
2357.854.928151336712355.73750.9854792794207181.05228373053524
2451.449.268461781887255.3750.889723914797061.04326374603594
2550.554.221660158109754.97083333333330.986371442275930.93136211345692
2648.151.4218278115124550.934942323845680.935400432989496
2758.760.572569999234954.93333333333331.102656007267630.969085511820639
285456.298515001595754.41.034899172823450.95917272415568
2956.155.158186266908953.83333333333331.024610271211931.01707477705184
3060.461.985081316487753.46251.159412322964460.97442801908423
3151.252.021551722918253.26666666666670.9766248758995920.984207473716008
3250.743.700387115908753.24166666666670.8207929963858271.16017278898528
3356.454.340907263782453.11666666666671.023048144282071.03789213025506
3453.356.043992337994752.81.061439248825660.95103859979414
3552.651.914227207150652.67916666666670.9854792794207181.01320972746282
3647.747.073809458721152.90833333333330.889723914797061.01330231286737
3749.552.433861918984653.15833333333330.986371442275930.944046427029965
3848.549.411701815244252.850.934942323845680.981548868349988
3955.357.829713181156752.44583333333331.102656007267630.956255823485894
4049.854.474505209494452.63751.034899172823450.914189120368924
4157.454.18907571872152.88751.024610271211931.05925408836914
4264.661.501992848585853.04583333333331.159412322964461.05037246775143
435352.290123563790653.54166666666670.9766248758995921.01357572688355
4441.544.274942213378853.94166666666670.8207929963858270.937324769392013
4555.955.457734821290354.20833333333331.023048144282071.00797481505754
4658.457.905933686976454.55416666666671.061439248825661.00853222254725
4753.553.905716584313354.70.9854792794207180.992473588887763
4850.648.738334615987354.77916666666670.889723914797061.03819714807001
4958.554.427154208583955.17916666666670.986371442275931.07483113623408
5049.152.068496252172455.69166666666670.934942323845680.942988631017964
5161.161.399562004685655.68333333333331.102656007267630.995121105185364
5252.357.50158529000355.56251.034899172823450.909540141132295
5358.457.156176295772255.78333333333331.024610271211931.02176184246111
5465.564.617913466552855.73333333333331.159412322964461.01365080495680
5561.754.463113912667255.76666666666670.9766248758995921.13287683291369
5645.146.494503274438856.64583333333330.8207929963858270.970007136839217
5752.158.931835811248157.60416666666671.023048144282070.884072238422544
5859.362.341865214360358.73333333333331.061439248825660.95120670188643
5957.958.837219145081159.70416666666670.9854792794207180.984070981621852
604553.583622768652960.2250.889723914797060.839808838500661
6164.959.774109401921360.60.986371442275931.08575436170219
6263.856.961361080298160.9250.934942323845681.12005750547396
6369.468.46574925125962.09166666666671.102656007267631.01364551997105
6471.165.491869320177463.28333333333331.034899172823451.08563094530720
6562.965.353058465467663.78333333333331.024610271211930.962464519288507
6673.575.395617185443365.02916666666671.159412322964460.97485772706415
6762.7NANA0.976624875899592NA
6851.9NANA0.820792996385827NA
6973.3NANA1.02304814428207NA
7066.7NANA1.06143924882566NA
7162.5NANA0.985479279420718NA
7270.3NANA0.88972391479706NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 43.9 & NA & NA & 0.98637144227593 & NA \tabularnewline
2 & 51 & NA & NA & 0.93494232384568 & NA \tabularnewline
3 & 51.9 & NA & NA & 1.10265600726763 & NA \tabularnewline
4 & 54.3 & NA & NA & 1.03489917282345 & NA \tabularnewline
5 & 50.3 & NA & NA & 1.02461027121193 & NA \tabularnewline
6 & 57.2 & NA & NA & 1.15941232296446 & NA \tabularnewline
7 & 48.8 & 51.5820705287634 & 52.8166666666667 & 0.976624875899592 & 0.94606516372366 \tabularnewline
8 & 41.1 & 43.9226852190966 & 53.5125 & 0.820792996385827 & 0.935735139939274 \tabularnewline
9 & 58 & 55.717759557962 & 54.4625 & 1.02304814428207 & 1.04096073604079 \tabularnewline
10 & 63 & 59.2592687292291 & 55.8291666666667 & 1.06143924882566 & 1.06312483010655 \tabularnewline
11 & 53.8 & 55.9218429434615 & 56.7458333333333 & 0.985479279420718 & 0.962056991834 \tabularnewline
12 & 54.7 & 51.1442963689177 & 57.4833333333333 & 0.88972391479706 & 1.06952297486770 \tabularnewline
13 & 55.5 & 57.3287302012789 & 58.1208333333333 & 0.98637144227593 & 0.96810098191852 \tabularnewline
14 & 56.1 & 54.7798289913248 & 58.5916666666667 & 0.93494232384568 & 1.02409958251027 \tabularnewline
15 & 69.6 & 65.0475156287293 & 58.9916666666667 & 1.10265600726763 & 1.06998705987873 \tabularnewline
16 & 69.4 & 61.1151082351115 & 59.0541666666667 & 1.03489917282345 & 1.13556208937758 \tabularnewline
17 & 57.2 & 60.6227743800392 & 59.1666666666667 & 1.02461027121193 & 0.943539793171092 \tabularnewline
18 & 68 & 68.6323786348173 & 59.1958333333333 & 1.15941232296446 & 0.99078600148507 \tabularnewline
19 & 53.3 & 57.474373946691 & 58.85 & 0.976624875899592 & 0.927369823104766 \tabularnewline
20 & 47.9 & 47.8590716309302 & 58.3083333333333 & 0.820792996385827 & 1.0008551851859 \tabularnewline
21 & 60.8 & 58.8465817992246 & 57.5208333333333 & 1.02304814428207 & 1.03319510056574 \tabularnewline
22 & 61.7 & 59.8917096149877 & 56.425 & 1.06143924882566 & 1.03019266600731 \tabularnewline
23 & 57.8 & 54.9281513367123 & 55.7375 & 0.985479279420718 & 1.05228373053524 \tabularnewline
24 & 51.4 & 49.2684617818872 & 55.375 & 0.88972391479706 & 1.04326374603594 \tabularnewline
25 & 50.5 & 54.2216601581097 & 54.9708333333333 & 0.98637144227593 & 0.93136211345692 \tabularnewline
26 & 48.1 & 51.4218278115124 & 55 & 0.93494232384568 & 0.935400432989496 \tabularnewline
27 & 58.7 & 60.5725699992349 & 54.9333333333333 & 1.10265600726763 & 0.969085511820639 \tabularnewline
28 & 54 & 56.2985150015957 & 54.4 & 1.03489917282345 & 0.95917272415568 \tabularnewline
29 & 56.1 & 55.1581862669089 & 53.8333333333333 & 1.02461027121193 & 1.01707477705184 \tabularnewline
30 & 60.4 & 61.9850813164877 & 53.4625 & 1.15941232296446 & 0.97442801908423 \tabularnewline
31 & 51.2 & 52.0215517229182 & 53.2666666666667 & 0.976624875899592 & 0.984207473716008 \tabularnewline
32 & 50.7 & 43.7003871159087 & 53.2416666666667 & 0.820792996385827 & 1.16017278898528 \tabularnewline
33 & 56.4 & 54.3409072637824 & 53.1166666666667 & 1.02304814428207 & 1.03789213025506 \tabularnewline
34 & 53.3 & 56.0439923379947 & 52.8 & 1.06143924882566 & 0.95103859979414 \tabularnewline
35 & 52.6 & 51.9142272071506 & 52.6791666666667 & 0.985479279420718 & 1.01320972746282 \tabularnewline
36 & 47.7 & 47.0738094587211 & 52.9083333333333 & 0.88972391479706 & 1.01330231286737 \tabularnewline
37 & 49.5 & 52.4338619189846 & 53.1583333333333 & 0.98637144227593 & 0.944046427029965 \tabularnewline
38 & 48.5 & 49.4117018152442 & 52.85 & 0.93494232384568 & 0.981548868349988 \tabularnewline
39 & 55.3 & 57.8297131811567 & 52.4458333333333 & 1.10265600726763 & 0.956255823485894 \tabularnewline
40 & 49.8 & 54.4745052094944 & 52.6375 & 1.03489917282345 & 0.914189120368924 \tabularnewline
41 & 57.4 & 54.189075718721 & 52.8875 & 1.02461027121193 & 1.05925408836914 \tabularnewline
42 & 64.6 & 61.5019928485858 & 53.0458333333333 & 1.15941232296446 & 1.05037246775143 \tabularnewline
43 & 53 & 52.2901235637906 & 53.5416666666667 & 0.976624875899592 & 1.01357572688355 \tabularnewline
44 & 41.5 & 44.2749422133788 & 53.9416666666667 & 0.820792996385827 & 0.937324769392013 \tabularnewline
45 & 55.9 & 55.4577348212903 & 54.2083333333333 & 1.02304814428207 & 1.00797481505754 \tabularnewline
46 & 58.4 & 57.9059336869764 & 54.5541666666667 & 1.06143924882566 & 1.00853222254725 \tabularnewline
47 & 53.5 & 53.9057165843133 & 54.7 & 0.985479279420718 & 0.992473588887763 \tabularnewline
48 & 50.6 & 48.7383346159873 & 54.7791666666667 & 0.88972391479706 & 1.03819714807001 \tabularnewline
49 & 58.5 & 54.4271542085839 & 55.1791666666667 & 0.98637144227593 & 1.07483113623408 \tabularnewline
50 & 49.1 & 52.0684962521724 & 55.6916666666667 & 0.93494232384568 & 0.942988631017964 \tabularnewline
51 & 61.1 & 61.3995620046856 & 55.6833333333333 & 1.10265600726763 & 0.995121105185364 \tabularnewline
52 & 52.3 & 57.501585290003 & 55.5625 & 1.03489917282345 & 0.909540141132295 \tabularnewline
53 & 58.4 & 57.1561762957722 & 55.7833333333333 & 1.02461027121193 & 1.02176184246111 \tabularnewline
54 & 65.5 & 64.6179134665528 & 55.7333333333333 & 1.15941232296446 & 1.01365080495680 \tabularnewline
55 & 61.7 & 54.4631139126672 & 55.7666666666667 & 0.976624875899592 & 1.13287683291369 \tabularnewline
56 & 45.1 & 46.4945032744388 & 56.6458333333333 & 0.820792996385827 & 0.970007136839217 \tabularnewline
57 & 52.1 & 58.9318358112481 & 57.6041666666667 & 1.02304814428207 & 0.884072238422544 \tabularnewline
58 & 59.3 & 62.3418652143603 & 58.7333333333333 & 1.06143924882566 & 0.95120670188643 \tabularnewline
59 & 57.9 & 58.8372191450811 & 59.7041666666667 & 0.985479279420718 & 0.984070981621852 \tabularnewline
60 & 45 & 53.5836227686529 & 60.225 & 0.88972391479706 & 0.839808838500661 \tabularnewline
61 & 64.9 & 59.7741094019213 & 60.6 & 0.98637144227593 & 1.08575436170219 \tabularnewline
62 & 63.8 & 56.9613610802981 & 60.925 & 0.93494232384568 & 1.12005750547396 \tabularnewline
63 & 69.4 & 68.465749251259 & 62.0916666666667 & 1.10265600726763 & 1.01364551997105 \tabularnewline
64 & 71.1 & 65.4918693201774 & 63.2833333333333 & 1.03489917282345 & 1.08563094530720 \tabularnewline
65 & 62.9 & 65.3530584654676 & 63.7833333333333 & 1.02461027121193 & 0.962464519288507 \tabularnewline
66 & 73.5 & 75.3956171854433 & 65.0291666666667 & 1.15941232296446 & 0.97485772706415 \tabularnewline
67 & 62.7 & NA & NA & 0.976624875899592 & NA \tabularnewline
68 & 51.9 & NA & NA & 0.820792996385827 & NA \tabularnewline
69 & 73.3 & NA & NA & 1.02304814428207 & NA \tabularnewline
70 & 66.7 & NA & NA & 1.06143924882566 & NA \tabularnewline
71 & 62.5 & NA & NA & 0.985479279420718 & NA \tabularnewline
72 & 70.3 & NA & NA & 0.88972391479706 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70070&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]43.9[/C][C]NA[/C][C]NA[/C][C]0.98637144227593[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]51[/C][C]NA[/C][C]NA[/C][C]0.93494232384568[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]51.9[/C][C]NA[/C][C]NA[/C][C]1.10265600726763[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]54.3[/C][C]NA[/C][C]NA[/C][C]1.03489917282345[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]50.3[/C][C]NA[/C][C]NA[/C][C]1.02461027121193[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]57.2[/C][C]NA[/C][C]NA[/C][C]1.15941232296446[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]48.8[/C][C]51.5820705287634[/C][C]52.8166666666667[/C][C]0.976624875899592[/C][C]0.94606516372366[/C][/ROW]
[ROW][C]8[/C][C]41.1[/C][C]43.9226852190966[/C][C]53.5125[/C][C]0.820792996385827[/C][C]0.935735139939274[/C][/ROW]
[ROW][C]9[/C][C]58[/C][C]55.717759557962[/C][C]54.4625[/C][C]1.02304814428207[/C][C]1.04096073604079[/C][/ROW]
[ROW][C]10[/C][C]63[/C][C]59.2592687292291[/C][C]55.8291666666667[/C][C]1.06143924882566[/C][C]1.06312483010655[/C][/ROW]
[ROW][C]11[/C][C]53.8[/C][C]55.9218429434615[/C][C]56.7458333333333[/C][C]0.985479279420718[/C][C]0.962056991834[/C][/ROW]
[ROW][C]12[/C][C]54.7[/C][C]51.1442963689177[/C][C]57.4833333333333[/C][C]0.88972391479706[/C][C]1.06952297486770[/C][/ROW]
[ROW][C]13[/C][C]55.5[/C][C]57.3287302012789[/C][C]58.1208333333333[/C][C]0.98637144227593[/C][C]0.96810098191852[/C][/ROW]
[ROW][C]14[/C][C]56.1[/C][C]54.7798289913248[/C][C]58.5916666666667[/C][C]0.93494232384568[/C][C]1.02409958251027[/C][/ROW]
[ROW][C]15[/C][C]69.6[/C][C]65.0475156287293[/C][C]58.9916666666667[/C][C]1.10265600726763[/C][C]1.06998705987873[/C][/ROW]
[ROW][C]16[/C][C]69.4[/C][C]61.1151082351115[/C][C]59.0541666666667[/C][C]1.03489917282345[/C][C]1.13556208937758[/C][/ROW]
[ROW][C]17[/C][C]57.2[/C][C]60.6227743800392[/C][C]59.1666666666667[/C][C]1.02461027121193[/C][C]0.943539793171092[/C][/ROW]
[ROW][C]18[/C][C]68[/C][C]68.6323786348173[/C][C]59.1958333333333[/C][C]1.15941232296446[/C][C]0.99078600148507[/C][/ROW]
[ROW][C]19[/C][C]53.3[/C][C]57.474373946691[/C][C]58.85[/C][C]0.976624875899592[/C][C]0.927369823104766[/C][/ROW]
[ROW][C]20[/C][C]47.9[/C][C]47.8590716309302[/C][C]58.3083333333333[/C][C]0.820792996385827[/C][C]1.0008551851859[/C][/ROW]
[ROW][C]21[/C][C]60.8[/C][C]58.8465817992246[/C][C]57.5208333333333[/C][C]1.02304814428207[/C][C]1.03319510056574[/C][/ROW]
[ROW][C]22[/C][C]61.7[/C][C]59.8917096149877[/C][C]56.425[/C][C]1.06143924882566[/C][C]1.03019266600731[/C][/ROW]
[ROW][C]23[/C][C]57.8[/C][C]54.9281513367123[/C][C]55.7375[/C][C]0.985479279420718[/C][C]1.05228373053524[/C][/ROW]
[ROW][C]24[/C][C]51.4[/C][C]49.2684617818872[/C][C]55.375[/C][C]0.88972391479706[/C][C]1.04326374603594[/C][/ROW]
[ROW][C]25[/C][C]50.5[/C][C]54.2216601581097[/C][C]54.9708333333333[/C][C]0.98637144227593[/C][C]0.93136211345692[/C][/ROW]
[ROW][C]26[/C][C]48.1[/C][C]51.4218278115124[/C][C]55[/C][C]0.93494232384568[/C][C]0.935400432989496[/C][/ROW]
[ROW][C]27[/C][C]58.7[/C][C]60.5725699992349[/C][C]54.9333333333333[/C][C]1.10265600726763[/C][C]0.969085511820639[/C][/ROW]
[ROW][C]28[/C][C]54[/C][C]56.2985150015957[/C][C]54.4[/C][C]1.03489917282345[/C][C]0.95917272415568[/C][/ROW]
[ROW][C]29[/C][C]56.1[/C][C]55.1581862669089[/C][C]53.8333333333333[/C][C]1.02461027121193[/C][C]1.01707477705184[/C][/ROW]
[ROW][C]30[/C][C]60.4[/C][C]61.9850813164877[/C][C]53.4625[/C][C]1.15941232296446[/C][C]0.97442801908423[/C][/ROW]
[ROW][C]31[/C][C]51.2[/C][C]52.0215517229182[/C][C]53.2666666666667[/C][C]0.976624875899592[/C][C]0.984207473716008[/C][/ROW]
[ROW][C]32[/C][C]50.7[/C][C]43.7003871159087[/C][C]53.2416666666667[/C][C]0.820792996385827[/C][C]1.16017278898528[/C][/ROW]
[ROW][C]33[/C][C]56.4[/C][C]54.3409072637824[/C][C]53.1166666666667[/C][C]1.02304814428207[/C][C]1.03789213025506[/C][/ROW]
[ROW][C]34[/C][C]53.3[/C][C]56.0439923379947[/C][C]52.8[/C][C]1.06143924882566[/C][C]0.95103859979414[/C][/ROW]
[ROW][C]35[/C][C]52.6[/C][C]51.9142272071506[/C][C]52.6791666666667[/C][C]0.985479279420718[/C][C]1.01320972746282[/C][/ROW]
[ROW][C]36[/C][C]47.7[/C][C]47.0738094587211[/C][C]52.9083333333333[/C][C]0.88972391479706[/C][C]1.01330231286737[/C][/ROW]
[ROW][C]37[/C][C]49.5[/C][C]52.4338619189846[/C][C]53.1583333333333[/C][C]0.98637144227593[/C][C]0.944046427029965[/C][/ROW]
[ROW][C]38[/C][C]48.5[/C][C]49.4117018152442[/C][C]52.85[/C][C]0.93494232384568[/C][C]0.981548868349988[/C][/ROW]
[ROW][C]39[/C][C]55.3[/C][C]57.8297131811567[/C][C]52.4458333333333[/C][C]1.10265600726763[/C][C]0.956255823485894[/C][/ROW]
[ROW][C]40[/C][C]49.8[/C][C]54.4745052094944[/C][C]52.6375[/C][C]1.03489917282345[/C][C]0.914189120368924[/C][/ROW]
[ROW][C]41[/C][C]57.4[/C][C]54.189075718721[/C][C]52.8875[/C][C]1.02461027121193[/C][C]1.05925408836914[/C][/ROW]
[ROW][C]42[/C][C]64.6[/C][C]61.5019928485858[/C][C]53.0458333333333[/C][C]1.15941232296446[/C][C]1.05037246775143[/C][/ROW]
[ROW][C]43[/C][C]53[/C][C]52.2901235637906[/C][C]53.5416666666667[/C][C]0.976624875899592[/C][C]1.01357572688355[/C][/ROW]
[ROW][C]44[/C][C]41.5[/C][C]44.2749422133788[/C][C]53.9416666666667[/C][C]0.820792996385827[/C][C]0.937324769392013[/C][/ROW]
[ROW][C]45[/C][C]55.9[/C][C]55.4577348212903[/C][C]54.2083333333333[/C][C]1.02304814428207[/C][C]1.00797481505754[/C][/ROW]
[ROW][C]46[/C][C]58.4[/C][C]57.9059336869764[/C][C]54.5541666666667[/C][C]1.06143924882566[/C][C]1.00853222254725[/C][/ROW]
[ROW][C]47[/C][C]53.5[/C][C]53.9057165843133[/C][C]54.7[/C][C]0.985479279420718[/C][C]0.992473588887763[/C][/ROW]
[ROW][C]48[/C][C]50.6[/C][C]48.7383346159873[/C][C]54.7791666666667[/C][C]0.88972391479706[/C][C]1.03819714807001[/C][/ROW]
[ROW][C]49[/C][C]58.5[/C][C]54.4271542085839[/C][C]55.1791666666667[/C][C]0.98637144227593[/C][C]1.07483113623408[/C][/ROW]
[ROW][C]50[/C][C]49.1[/C][C]52.0684962521724[/C][C]55.6916666666667[/C][C]0.93494232384568[/C][C]0.942988631017964[/C][/ROW]
[ROW][C]51[/C][C]61.1[/C][C]61.3995620046856[/C][C]55.6833333333333[/C][C]1.10265600726763[/C][C]0.995121105185364[/C][/ROW]
[ROW][C]52[/C][C]52.3[/C][C]57.501585290003[/C][C]55.5625[/C][C]1.03489917282345[/C][C]0.909540141132295[/C][/ROW]
[ROW][C]53[/C][C]58.4[/C][C]57.1561762957722[/C][C]55.7833333333333[/C][C]1.02461027121193[/C][C]1.02176184246111[/C][/ROW]
[ROW][C]54[/C][C]65.5[/C][C]64.6179134665528[/C][C]55.7333333333333[/C][C]1.15941232296446[/C][C]1.01365080495680[/C][/ROW]
[ROW][C]55[/C][C]61.7[/C][C]54.4631139126672[/C][C]55.7666666666667[/C][C]0.976624875899592[/C][C]1.13287683291369[/C][/ROW]
[ROW][C]56[/C][C]45.1[/C][C]46.4945032744388[/C][C]56.6458333333333[/C][C]0.820792996385827[/C][C]0.970007136839217[/C][/ROW]
[ROW][C]57[/C][C]52.1[/C][C]58.9318358112481[/C][C]57.6041666666667[/C][C]1.02304814428207[/C][C]0.884072238422544[/C][/ROW]
[ROW][C]58[/C][C]59.3[/C][C]62.3418652143603[/C][C]58.7333333333333[/C][C]1.06143924882566[/C][C]0.95120670188643[/C][/ROW]
[ROW][C]59[/C][C]57.9[/C][C]58.8372191450811[/C][C]59.7041666666667[/C][C]0.985479279420718[/C][C]0.984070981621852[/C][/ROW]
[ROW][C]60[/C][C]45[/C][C]53.5836227686529[/C][C]60.225[/C][C]0.88972391479706[/C][C]0.839808838500661[/C][/ROW]
[ROW][C]61[/C][C]64.9[/C][C]59.7741094019213[/C][C]60.6[/C][C]0.98637144227593[/C][C]1.08575436170219[/C][/ROW]
[ROW][C]62[/C][C]63.8[/C][C]56.9613610802981[/C][C]60.925[/C][C]0.93494232384568[/C][C]1.12005750547396[/C][/ROW]
[ROW][C]63[/C][C]69.4[/C][C]68.465749251259[/C][C]62.0916666666667[/C][C]1.10265600726763[/C][C]1.01364551997105[/C][/ROW]
[ROW][C]64[/C][C]71.1[/C][C]65.4918693201774[/C][C]63.2833333333333[/C][C]1.03489917282345[/C][C]1.08563094530720[/C][/ROW]
[ROW][C]65[/C][C]62.9[/C][C]65.3530584654676[/C][C]63.7833333333333[/C][C]1.02461027121193[/C][C]0.962464519288507[/C][/ROW]
[ROW][C]66[/C][C]73.5[/C][C]75.3956171854433[/C][C]65.0291666666667[/C][C]1.15941232296446[/C][C]0.97485772706415[/C][/ROW]
[ROW][C]67[/C][C]62.7[/C][C]NA[/C][C]NA[/C][C]0.976624875899592[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]51.9[/C][C]NA[/C][C]NA[/C][C]0.820792996385827[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]73.3[/C][C]NA[/C][C]NA[/C][C]1.02304814428207[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]66.7[/C][C]NA[/C][C]NA[/C][C]1.06143924882566[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]62.5[/C][C]NA[/C][C]NA[/C][C]0.985479279420718[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]70.3[/C][C]NA[/C][C]NA[/C][C]0.88972391479706[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70070&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70070&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
143.9NANA0.98637144227593NA
251NANA0.93494232384568NA
351.9NANA1.10265600726763NA
454.3NANA1.03489917282345NA
550.3NANA1.02461027121193NA
657.2NANA1.15941232296446NA
748.851.582070528763452.81666666666670.9766248758995920.94606516372366
841.143.922685219096653.51250.8207929963858270.935735139939274
95855.71775955796254.46251.023048144282071.04096073604079
106359.259268729229155.82916666666671.061439248825661.06312483010655
1153.855.921842943461556.74583333333330.9854792794207180.962056991834
1254.751.144296368917757.48333333333330.889723914797061.06952297486770
1355.557.328730201278958.12083333333330.986371442275930.96810098191852
1456.154.779828991324858.59166666666670.934942323845681.02409958251027
1569.665.047515628729358.99166666666671.102656007267631.06998705987873
1669.461.115108235111559.05416666666671.034899172823451.13556208937758
1757.260.622774380039259.16666666666671.024610271211930.943539793171092
186868.632378634817359.19583333333331.159412322964460.99078600148507
1953.357.47437394669158.850.9766248758995920.927369823104766
2047.947.859071630930258.30833333333330.8207929963858271.0008551851859
2160.858.846581799224657.52083333333331.023048144282071.03319510056574
2261.759.891709614987756.4251.061439248825661.03019266600731
2357.854.928151336712355.73750.9854792794207181.05228373053524
2451.449.268461781887255.3750.889723914797061.04326374603594
2550.554.221660158109754.97083333333330.986371442275930.93136211345692
2648.151.4218278115124550.934942323845680.935400432989496
2758.760.572569999234954.93333333333331.102656007267630.969085511820639
285456.298515001595754.41.034899172823450.95917272415568
2956.155.158186266908953.83333333333331.024610271211931.01707477705184
3060.461.985081316487753.46251.159412322964460.97442801908423
3151.252.021551722918253.26666666666670.9766248758995920.984207473716008
3250.743.700387115908753.24166666666670.8207929963858271.16017278898528
3356.454.340907263782453.11666666666671.023048144282071.03789213025506
3453.356.043992337994752.81.061439248825660.95103859979414
3552.651.914227207150652.67916666666670.9854792794207181.01320972746282
3647.747.073809458721152.90833333333330.889723914797061.01330231286737
3749.552.433861918984653.15833333333330.986371442275930.944046427029965
3848.549.411701815244252.850.934942323845680.981548868349988
3955.357.829713181156752.44583333333331.102656007267630.956255823485894
4049.854.474505209494452.63751.034899172823450.914189120368924
4157.454.18907571872152.88751.024610271211931.05925408836914
4264.661.501992848585853.04583333333331.159412322964461.05037246775143
435352.290123563790653.54166666666670.9766248758995921.01357572688355
4441.544.274942213378853.94166666666670.8207929963858270.937324769392013
4555.955.457734821290354.20833333333331.023048144282071.00797481505754
4658.457.905933686976454.55416666666671.061439248825661.00853222254725
4753.553.905716584313354.70.9854792794207180.992473588887763
4850.648.738334615987354.77916666666670.889723914797061.03819714807001
4958.554.427154208583955.17916666666670.986371442275931.07483113623408
5049.152.068496252172455.69166666666670.934942323845680.942988631017964
5161.161.399562004685655.68333333333331.102656007267630.995121105185364
5252.357.50158529000355.56251.034899172823450.909540141132295
5358.457.156176295772255.78333333333331.024610271211931.02176184246111
5465.564.617913466552855.73333333333331.159412322964461.01365080495680
5561.754.463113912667255.76666666666670.9766248758995921.13287683291369
5645.146.494503274438856.64583333333330.8207929963858270.970007136839217
5752.158.931835811248157.60416666666671.023048144282070.884072238422544
5859.362.341865214360358.73333333333331.061439248825660.95120670188643
5957.958.837219145081159.70416666666670.9854792794207180.984070981621852
604553.583622768652960.2250.889723914797060.839808838500661
6164.959.774109401921360.60.986371442275931.08575436170219
6263.856.961361080298160.9250.934942323845681.12005750547396
6369.468.46574925125962.09166666666671.102656007267631.01364551997105
6471.165.491869320177463.28333333333331.034899172823451.08563094530720
6562.965.353058465467663.78333333333331.024610271211930.962464519288507
6673.575.395617185443365.02916666666671.159412322964460.97485772706415
6762.7NANA0.976624875899592NA
6851.9NANA0.820792996385827NA
6973.3NANA1.02304814428207NA
7066.7NANA1.06143924882566NA
7162.5NANA0.985479279420718NA
7270.3NANA0.88972391479706NA



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')