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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 29 Apr 2013 04:01:11 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Apr/29/t136722249907rw1qf74va7w5z.htm/, Retrieved Fri, 03 May 2024 07:55:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208479, Retrieved Fri, 03 May 2024 07:55:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Additief of multi...] [2013-04-29 08:01:11] [49d363860b48c50a69486db091fa88e4] [Current]
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Dataseries X:
14.544
14.931
14.886
16.005
17.064
15.168
16.050
15.839
15.137
14.954
15.648
15.305
15.579
16.348
15.928
16.171
15.937
15.713
15.594
15.683
16.438
17.032
17.696
17.745
19.394
20.148
20.108
18.584
18.441
18.391
19.178
18.079
18.483
19.644
19.195
19.650
20.830
23.595
22.937
21.814
21.928
21.777
21.383
21.467
22.052
22.680
24.320
24.977
25.204
25.739
26.434
27.525
30.695
32.436
30.160
30.236
31.293
31.077
32.226
33.865
32.810
32.242
32.700
32.819
33.947
34.148
35.261
39.506
41.591
39.148
41.216
40.225




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208479&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208479&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208479&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 time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
114.544NANA1.01723828144572NA
214.931NANA1.04860598243148NA
314.886NANA1.02837551267981NA
416.005NANA0.996842500751492NA
517.064NANA1.00637983785653NA
615.168NANA0.99847879521782NA
716.0515.366042070415915.50404166666670.9910991211699661.04451100201664
815.83915.07694379841715.60620833333330.966086282868221.05054447451499
915.13715.225233166244515.70866666666670.9692250455955020.994204806896477
1014.95415.400109861431415.7590.9772263380564370.971032033833171
1115.64815.695159313462415.71895833333330.9984859671126880.996995295650046
1215.30515.725412437646715.69470833333331.001956334814340.973265411046377
1315.57915.969030391418815.69841666666671.017238281445720.975575825090271
1416.34816.434714178816715.67291666666671.048605982431480.994723718473393
1515.92816.16670579402215.7206251.028375512679810.985234728888909
1616.17115.811334255461415.86141666666670.9968425007514921.022747336735
1715.93716.135623400299816.03333333333331.006379837856530.987690379517901
1815.71316.195658884698116.22033333333330.998478795217820.97019825570949
1915.59416.334263320205516.48095833333330.9910991211699660.954680336315517
2015.68316.228558901191116.798250.966086282868220.966382788236913
2116.43816.603551949835217.130750.9692250455955020.990029124470755
2217.03217.009072309277217.40545833333330.9772263380564371.00134796832572
2317.69617.583670709510117.61033333333330.9984859671126881.00638827309414
2417.74517.86112411348417.826251.001956334814340.993498499156815
2519.39418.398958336222218.08716666666671.017238281445721.05408141295797
2620.14819.227588829191118.33633333333331.048605982431481.04786929754871
2720.10819.0469285111618.5213751.028375512679811.05570827276526
2818.58418.656322752606118.71541666666670.9968425007514920.99612341866266
2918.44119.007202470143618.88670833333331.006379837856530.970211162266881
3018.39118.999595358085419.02854166666670.998478795217820.967967983179893
3119.17818.997140179805619.167750.9910991211699661.00952037088123
3218.07918.714258653415919.37120833333330.966086282868220.966054832030446
3318.48319.028512629538219.63270833333330.9692250455955020.971331830282342
3419.64419.432308603308619.88516666666670.9772263380564371.01089378524255
3519.19520.134511130409320.16504166666670.9984859671126880.953338269584784
3619.6520.491426485094220.45141666666671.001956334814340.958937632491997
3720.8321.040938077778720.6843751.017238281445720.989974872935846
3823.59521.934128253678720.91741666666671.048605982431481.07572089153089
3922.93721.809059440258521.20729166666671.028375512679811.05171889979168
4021.81421.414669022393921.48250.9968425007514921.01864754375557
4121.92821.961765944117521.82254166666671.006379837856530.998462512340612
4221.77722.224182627241422.25804166666670.998478795217820.979878556852155
4321.38322.460536058734122.662250.9910991211699660.952025363245279
4421.46722.156061796919322.93383333333330.966086282868220.968899626511464
4522.05222.455853928271523.1688750.9692250455955020.982015650370657
4622.6823.016164044838323.55254166666670.9772263380564370.985394436528023
4724.3224.119219003664324.15579166666670.9984859671126881.00832452312429
4824.97725.01404863954324.96520833333331.001956334814340.998518886723343
4925.20426.219359089191725.77504166666671.017238281445720.961274450464722
5025.73927.794481246076726.5061251.048605982431480.926047144831429
5126.43428.029960010336827.25654166666671.028375512679810.943062351507163
5227.52527.903075324681227.99145833333330.9968425007514920.986450406620708
5330.69528.853664736225228.670751.006379837856531.06381633947049
5432.43629.32582145494529.37050.998478795217821.10605597356696
5530.1629.790209609346630.057750.9910991211699661.0124131516865
5630.23629.606317942423430.6456250.966086282868221.02126850285136
5731.29330.218175396561431.17766666666670.9692250455955021.03556881212494
5831.07730.938334378641431.65933333333330.9772263380564371.0044820002157
5932.22631.966944272932332.01541666666670.9984859671126881.00810386269191
6033.86532.285287509471232.222251.001956334814341.04892979472663
6132.8133.066474731459632.5061251.017238281445720.992243662696356
6232.24234.714013664562333.10491666666671.048605982431480.928789171760744
6332.734.882754483977233.920251.028375512679810.93742597119216
6432.81934.576105165128534.6856250.9968425007514920.949181518371232
6533.94735.622323930688835.39651.006379837856530.952969830549278
6634.14835.981265071035636.03608333333330.998478795217820.949049454836668
6735.261NANA0.991099121169966NA
6839.506NANA0.96608628286822NA
6941.591NANA0.969225045595502NA
7039.148NANA0.977226338056437NA
7141.216NANA0.998485967112688NA
7240.225NANA1.00195633481434NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 14.544 & NA & NA & 1.01723828144572 & NA \tabularnewline
2 & 14.931 & NA & NA & 1.04860598243148 & NA \tabularnewline
3 & 14.886 & NA & NA & 1.02837551267981 & NA \tabularnewline
4 & 16.005 & NA & NA & 0.996842500751492 & NA \tabularnewline
5 & 17.064 & NA & NA & 1.00637983785653 & NA \tabularnewline
6 & 15.168 & NA & NA & 0.99847879521782 & NA \tabularnewline
7 & 16.05 & 15.3660420704159 & 15.5040416666667 & 0.991099121169966 & 1.04451100201664 \tabularnewline
8 & 15.839 & 15.076943798417 & 15.6062083333333 & 0.96608628286822 & 1.05054447451499 \tabularnewline
9 & 15.137 & 15.2252331662445 & 15.7086666666667 & 0.969225045595502 & 0.994204806896477 \tabularnewline
10 & 14.954 & 15.4001098614314 & 15.759 & 0.977226338056437 & 0.971032033833171 \tabularnewline
11 & 15.648 & 15.6951593134624 & 15.7189583333333 & 0.998485967112688 & 0.996995295650046 \tabularnewline
12 & 15.305 & 15.7254124376467 & 15.6947083333333 & 1.00195633481434 & 0.973265411046377 \tabularnewline
13 & 15.579 & 15.9690303914188 & 15.6984166666667 & 1.01723828144572 & 0.975575825090271 \tabularnewline
14 & 16.348 & 16.4347141788167 & 15.6729166666667 & 1.04860598243148 & 0.994723718473393 \tabularnewline
15 & 15.928 & 16.166705794022 & 15.720625 & 1.02837551267981 & 0.985234728888909 \tabularnewline
16 & 16.171 & 15.8113342554614 & 15.8614166666667 & 0.996842500751492 & 1.022747336735 \tabularnewline
17 & 15.937 & 16.1356234002998 & 16.0333333333333 & 1.00637983785653 & 0.987690379517901 \tabularnewline
18 & 15.713 & 16.1956588846981 & 16.2203333333333 & 0.99847879521782 & 0.97019825570949 \tabularnewline
19 & 15.594 & 16.3342633202055 & 16.4809583333333 & 0.991099121169966 & 0.954680336315517 \tabularnewline
20 & 15.683 & 16.2285589011911 & 16.79825 & 0.96608628286822 & 0.966382788236913 \tabularnewline
21 & 16.438 & 16.6035519498352 & 17.13075 & 0.969225045595502 & 0.990029124470755 \tabularnewline
22 & 17.032 & 17.0090723092772 & 17.4054583333333 & 0.977226338056437 & 1.00134796832572 \tabularnewline
23 & 17.696 & 17.5836707095101 & 17.6103333333333 & 0.998485967112688 & 1.00638827309414 \tabularnewline
24 & 17.745 & 17.861124113484 & 17.82625 & 1.00195633481434 & 0.993498499156815 \tabularnewline
25 & 19.394 & 18.3989583362222 & 18.0871666666667 & 1.01723828144572 & 1.05408141295797 \tabularnewline
26 & 20.148 & 19.2275888291911 & 18.3363333333333 & 1.04860598243148 & 1.04786929754871 \tabularnewline
27 & 20.108 & 19.04692851116 & 18.521375 & 1.02837551267981 & 1.05570827276526 \tabularnewline
28 & 18.584 & 18.6563227526061 & 18.7154166666667 & 0.996842500751492 & 0.99612341866266 \tabularnewline
29 & 18.441 & 19.0072024701436 & 18.8867083333333 & 1.00637983785653 & 0.970211162266881 \tabularnewline
30 & 18.391 & 18.9995953580854 & 19.0285416666667 & 0.99847879521782 & 0.967967983179893 \tabularnewline
31 & 19.178 & 18.9971401798056 & 19.16775 & 0.991099121169966 & 1.00952037088123 \tabularnewline
32 & 18.079 & 18.7142586534159 & 19.3712083333333 & 0.96608628286822 & 0.966054832030446 \tabularnewline
33 & 18.483 & 19.0285126295382 & 19.6327083333333 & 0.969225045595502 & 0.971331830282342 \tabularnewline
34 & 19.644 & 19.4323086033086 & 19.8851666666667 & 0.977226338056437 & 1.01089378524255 \tabularnewline
35 & 19.195 & 20.1345111304093 & 20.1650416666667 & 0.998485967112688 & 0.953338269584784 \tabularnewline
36 & 19.65 & 20.4914264850942 & 20.4514166666667 & 1.00195633481434 & 0.958937632491997 \tabularnewline
37 & 20.83 & 21.0409380777787 & 20.684375 & 1.01723828144572 & 0.989974872935846 \tabularnewline
38 & 23.595 & 21.9341282536787 & 20.9174166666667 & 1.04860598243148 & 1.07572089153089 \tabularnewline
39 & 22.937 & 21.8090594402585 & 21.2072916666667 & 1.02837551267981 & 1.05171889979168 \tabularnewline
40 & 21.814 & 21.4146690223939 & 21.4825 & 0.996842500751492 & 1.01864754375557 \tabularnewline
41 & 21.928 & 21.9617659441175 & 21.8225416666667 & 1.00637983785653 & 0.998462512340612 \tabularnewline
42 & 21.777 & 22.2241826272414 & 22.2580416666667 & 0.99847879521782 & 0.979878556852155 \tabularnewline
43 & 21.383 & 22.4605360587341 & 22.66225 & 0.991099121169966 & 0.952025363245279 \tabularnewline
44 & 21.467 & 22.1560617969193 & 22.9338333333333 & 0.96608628286822 & 0.968899626511464 \tabularnewline
45 & 22.052 & 22.4558539282715 & 23.168875 & 0.969225045595502 & 0.982015650370657 \tabularnewline
46 & 22.68 & 23.0161640448383 & 23.5525416666667 & 0.977226338056437 & 0.985394436528023 \tabularnewline
47 & 24.32 & 24.1192190036643 & 24.1557916666667 & 0.998485967112688 & 1.00832452312429 \tabularnewline
48 & 24.977 & 25.014048639543 & 24.9652083333333 & 1.00195633481434 & 0.998518886723343 \tabularnewline
49 & 25.204 & 26.2193590891917 & 25.7750416666667 & 1.01723828144572 & 0.961274450464722 \tabularnewline
50 & 25.739 & 27.7944812460767 & 26.506125 & 1.04860598243148 & 0.926047144831429 \tabularnewline
51 & 26.434 & 28.0299600103368 & 27.2565416666667 & 1.02837551267981 & 0.943062351507163 \tabularnewline
52 & 27.525 & 27.9030753246812 & 27.9914583333333 & 0.996842500751492 & 0.986450406620708 \tabularnewline
53 & 30.695 & 28.8536647362252 & 28.67075 & 1.00637983785653 & 1.06381633947049 \tabularnewline
54 & 32.436 & 29.325821454945 & 29.3705 & 0.99847879521782 & 1.10605597356696 \tabularnewline
55 & 30.16 & 29.7902096093466 & 30.05775 & 0.991099121169966 & 1.0124131516865 \tabularnewline
56 & 30.236 & 29.6063179424234 & 30.645625 & 0.96608628286822 & 1.02126850285136 \tabularnewline
57 & 31.293 & 30.2181753965614 & 31.1776666666667 & 0.969225045595502 & 1.03556881212494 \tabularnewline
58 & 31.077 & 30.9383343786414 & 31.6593333333333 & 0.977226338056437 & 1.0044820002157 \tabularnewline
59 & 32.226 & 31.9669442729323 & 32.0154166666667 & 0.998485967112688 & 1.00810386269191 \tabularnewline
60 & 33.865 & 32.2852875094712 & 32.22225 & 1.00195633481434 & 1.04892979472663 \tabularnewline
61 & 32.81 & 33.0664747314596 & 32.506125 & 1.01723828144572 & 0.992243662696356 \tabularnewline
62 & 32.242 & 34.7140136645623 & 33.1049166666667 & 1.04860598243148 & 0.928789171760744 \tabularnewline
63 & 32.7 & 34.8827544839772 & 33.92025 & 1.02837551267981 & 0.93742597119216 \tabularnewline
64 & 32.819 & 34.5761051651285 & 34.685625 & 0.996842500751492 & 0.949181518371232 \tabularnewline
65 & 33.947 & 35.6223239306888 & 35.3965 & 1.00637983785653 & 0.952969830549278 \tabularnewline
66 & 34.148 & 35.9812650710356 & 36.0360833333333 & 0.99847879521782 & 0.949049454836668 \tabularnewline
67 & 35.261 & NA & NA & 0.991099121169966 & NA \tabularnewline
68 & 39.506 & NA & NA & 0.96608628286822 & NA \tabularnewline
69 & 41.591 & NA & NA & 0.969225045595502 & NA \tabularnewline
70 & 39.148 & NA & NA & 0.977226338056437 & NA \tabularnewline
71 & 41.216 & NA & NA & 0.998485967112688 & NA \tabularnewline
72 & 40.225 & NA & NA & 1.00195633481434 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208479&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]14.544[/C][C]NA[/C][C]NA[/C][C]1.01723828144572[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]14.931[/C][C]NA[/C][C]NA[/C][C]1.04860598243148[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]14.886[/C][C]NA[/C][C]NA[/C][C]1.02837551267981[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16.005[/C][C]NA[/C][C]NA[/C][C]0.996842500751492[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]17.064[/C][C]NA[/C][C]NA[/C][C]1.00637983785653[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15.168[/C][C]NA[/C][C]NA[/C][C]0.99847879521782[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]16.05[/C][C]15.3660420704159[/C][C]15.5040416666667[/C][C]0.991099121169966[/C][C]1.04451100201664[/C][/ROW]
[ROW][C]8[/C][C]15.839[/C][C]15.076943798417[/C][C]15.6062083333333[/C][C]0.96608628286822[/C][C]1.05054447451499[/C][/ROW]
[ROW][C]9[/C][C]15.137[/C][C]15.2252331662445[/C][C]15.7086666666667[/C][C]0.969225045595502[/C][C]0.994204806896477[/C][/ROW]
[ROW][C]10[/C][C]14.954[/C][C]15.4001098614314[/C][C]15.759[/C][C]0.977226338056437[/C][C]0.971032033833171[/C][/ROW]
[ROW][C]11[/C][C]15.648[/C][C]15.6951593134624[/C][C]15.7189583333333[/C][C]0.998485967112688[/C][C]0.996995295650046[/C][/ROW]
[ROW][C]12[/C][C]15.305[/C][C]15.7254124376467[/C][C]15.6947083333333[/C][C]1.00195633481434[/C][C]0.973265411046377[/C][/ROW]
[ROW][C]13[/C][C]15.579[/C][C]15.9690303914188[/C][C]15.6984166666667[/C][C]1.01723828144572[/C][C]0.975575825090271[/C][/ROW]
[ROW][C]14[/C][C]16.348[/C][C]16.4347141788167[/C][C]15.6729166666667[/C][C]1.04860598243148[/C][C]0.994723718473393[/C][/ROW]
[ROW][C]15[/C][C]15.928[/C][C]16.166705794022[/C][C]15.720625[/C][C]1.02837551267981[/C][C]0.985234728888909[/C][/ROW]
[ROW][C]16[/C][C]16.171[/C][C]15.8113342554614[/C][C]15.8614166666667[/C][C]0.996842500751492[/C][C]1.022747336735[/C][/ROW]
[ROW][C]17[/C][C]15.937[/C][C]16.1356234002998[/C][C]16.0333333333333[/C][C]1.00637983785653[/C][C]0.987690379517901[/C][/ROW]
[ROW][C]18[/C][C]15.713[/C][C]16.1956588846981[/C][C]16.2203333333333[/C][C]0.99847879521782[/C][C]0.97019825570949[/C][/ROW]
[ROW][C]19[/C][C]15.594[/C][C]16.3342633202055[/C][C]16.4809583333333[/C][C]0.991099121169966[/C][C]0.954680336315517[/C][/ROW]
[ROW][C]20[/C][C]15.683[/C][C]16.2285589011911[/C][C]16.79825[/C][C]0.96608628286822[/C][C]0.966382788236913[/C][/ROW]
[ROW][C]21[/C][C]16.438[/C][C]16.6035519498352[/C][C]17.13075[/C][C]0.969225045595502[/C][C]0.990029124470755[/C][/ROW]
[ROW][C]22[/C][C]17.032[/C][C]17.0090723092772[/C][C]17.4054583333333[/C][C]0.977226338056437[/C][C]1.00134796832572[/C][/ROW]
[ROW][C]23[/C][C]17.696[/C][C]17.5836707095101[/C][C]17.6103333333333[/C][C]0.998485967112688[/C][C]1.00638827309414[/C][/ROW]
[ROW][C]24[/C][C]17.745[/C][C]17.861124113484[/C][C]17.82625[/C][C]1.00195633481434[/C][C]0.993498499156815[/C][/ROW]
[ROW][C]25[/C][C]19.394[/C][C]18.3989583362222[/C][C]18.0871666666667[/C][C]1.01723828144572[/C][C]1.05408141295797[/C][/ROW]
[ROW][C]26[/C][C]20.148[/C][C]19.2275888291911[/C][C]18.3363333333333[/C][C]1.04860598243148[/C][C]1.04786929754871[/C][/ROW]
[ROW][C]27[/C][C]20.108[/C][C]19.04692851116[/C][C]18.521375[/C][C]1.02837551267981[/C][C]1.05570827276526[/C][/ROW]
[ROW][C]28[/C][C]18.584[/C][C]18.6563227526061[/C][C]18.7154166666667[/C][C]0.996842500751492[/C][C]0.99612341866266[/C][/ROW]
[ROW][C]29[/C][C]18.441[/C][C]19.0072024701436[/C][C]18.8867083333333[/C][C]1.00637983785653[/C][C]0.970211162266881[/C][/ROW]
[ROW][C]30[/C][C]18.391[/C][C]18.9995953580854[/C][C]19.0285416666667[/C][C]0.99847879521782[/C][C]0.967967983179893[/C][/ROW]
[ROW][C]31[/C][C]19.178[/C][C]18.9971401798056[/C][C]19.16775[/C][C]0.991099121169966[/C][C]1.00952037088123[/C][/ROW]
[ROW][C]32[/C][C]18.079[/C][C]18.7142586534159[/C][C]19.3712083333333[/C][C]0.96608628286822[/C][C]0.966054832030446[/C][/ROW]
[ROW][C]33[/C][C]18.483[/C][C]19.0285126295382[/C][C]19.6327083333333[/C][C]0.969225045595502[/C][C]0.971331830282342[/C][/ROW]
[ROW][C]34[/C][C]19.644[/C][C]19.4323086033086[/C][C]19.8851666666667[/C][C]0.977226338056437[/C][C]1.01089378524255[/C][/ROW]
[ROW][C]35[/C][C]19.195[/C][C]20.1345111304093[/C][C]20.1650416666667[/C][C]0.998485967112688[/C][C]0.953338269584784[/C][/ROW]
[ROW][C]36[/C][C]19.65[/C][C]20.4914264850942[/C][C]20.4514166666667[/C][C]1.00195633481434[/C][C]0.958937632491997[/C][/ROW]
[ROW][C]37[/C][C]20.83[/C][C]21.0409380777787[/C][C]20.684375[/C][C]1.01723828144572[/C][C]0.989974872935846[/C][/ROW]
[ROW][C]38[/C][C]23.595[/C][C]21.9341282536787[/C][C]20.9174166666667[/C][C]1.04860598243148[/C][C]1.07572089153089[/C][/ROW]
[ROW][C]39[/C][C]22.937[/C][C]21.8090594402585[/C][C]21.2072916666667[/C][C]1.02837551267981[/C][C]1.05171889979168[/C][/ROW]
[ROW][C]40[/C][C]21.814[/C][C]21.4146690223939[/C][C]21.4825[/C][C]0.996842500751492[/C][C]1.01864754375557[/C][/ROW]
[ROW][C]41[/C][C]21.928[/C][C]21.9617659441175[/C][C]21.8225416666667[/C][C]1.00637983785653[/C][C]0.998462512340612[/C][/ROW]
[ROW][C]42[/C][C]21.777[/C][C]22.2241826272414[/C][C]22.2580416666667[/C][C]0.99847879521782[/C][C]0.979878556852155[/C][/ROW]
[ROW][C]43[/C][C]21.383[/C][C]22.4605360587341[/C][C]22.66225[/C][C]0.991099121169966[/C][C]0.952025363245279[/C][/ROW]
[ROW][C]44[/C][C]21.467[/C][C]22.1560617969193[/C][C]22.9338333333333[/C][C]0.96608628286822[/C][C]0.968899626511464[/C][/ROW]
[ROW][C]45[/C][C]22.052[/C][C]22.4558539282715[/C][C]23.168875[/C][C]0.969225045595502[/C][C]0.982015650370657[/C][/ROW]
[ROW][C]46[/C][C]22.68[/C][C]23.0161640448383[/C][C]23.5525416666667[/C][C]0.977226338056437[/C][C]0.985394436528023[/C][/ROW]
[ROW][C]47[/C][C]24.32[/C][C]24.1192190036643[/C][C]24.1557916666667[/C][C]0.998485967112688[/C][C]1.00832452312429[/C][/ROW]
[ROW][C]48[/C][C]24.977[/C][C]25.014048639543[/C][C]24.9652083333333[/C][C]1.00195633481434[/C][C]0.998518886723343[/C][/ROW]
[ROW][C]49[/C][C]25.204[/C][C]26.2193590891917[/C][C]25.7750416666667[/C][C]1.01723828144572[/C][C]0.961274450464722[/C][/ROW]
[ROW][C]50[/C][C]25.739[/C][C]27.7944812460767[/C][C]26.506125[/C][C]1.04860598243148[/C][C]0.926047144831429[/C][/ROW]
[ROW][C]51[/C][C]26.434[/C][C]28.0299600103368[/C][C]27.2565416666667[/C][C]1.02837551267981[/C][C]0.943062351507163[/C][/ROW]
[ROW][C]52[/C][C]27.525[/C][C]27.9030753246812[/C][C]27.9914583333333[/C][C]0.996842500751492[/C][C]0.986450406620708[/C][/ROW]
[ROW][C]53[/C][C]30.695[/C][C]28.8536647362252[/C][C]28.67075[/C][C]1.00637983785653[/C][C]1.06381633947049[/C][/ROW]
[ROW][C]54[/C][C]32.436[/C][C]29.325821454945[/C][C]29.3705[/C][C]0.99847879521782[/C][C]1.10605597356696[/C][/ROW]
[ROW][C]55[/C][C]30.16[/C][C]29.7902096093466[/C][C]30.05775[/C][C]0.991099121169966[/C][C]1.0124131516865[/C][/ROW]
[ROW][C]56[/C][C]30.236[/C][C]29.6063179424234[/C][C]30.645625[/C][C]0.96608628286822[/C][C]1.02126850285136[/C][/ROW]
[ROW][C]57[/C][C]31.293[/C][C]30.2181753965614[/C][C]31.1776666666667[/C][C]0.969225045595502[/C][C]1.03556881212494[/C][/ROW]
[ROW][C]58[/C][C]31.077[/C][C]30.9383343786414[/C][C]31.6593333333333[/C][C]0.977226338056437[/C][C]1.0044820002157[/C][/ROW]
[ROW][C]59[/C][C]32.226[/C][C]31.9669442729323[/C][C]32.0154166666667[/C][C]0.998485967112688[/C][C]1.00810386269191[/C][/ROW]
[ROW][C]60[/C][C]33.865[/C][C]32.2852875094712[/C][C]32.22225[/C][C]1.00195633481434[/C][C]1.04892979472663[/C][/ROW]
[ROW][C]61[/C][C]32.81[/C][C]33.0664747314596[/C][C]32.506125[/C][C]1.01723828144572[/C][C]0.992243662696356[/C][/ROW]
[ROW][C]62[/C][C]32.242[/C][C]34.7140136645623[/C][C]33.1049166666667[/C][C]1.04860598243148[/C][C]0.928789171760744[/C][/ROW]
[ROW][C]63[/C][C]32.7[/C][C]34.8827544839772[/C][C]33.92025[/C][C]1.02837551267981[/C][C]0.93742597119216[/C][/ROW]
[ROW][C]64[/C][C]32.819[/C][C]34.5761051651285[/C][C]34.685625[/C][C]0.996842500751492[/C][C]0.949181518371232[/C][/ROW]
[ROW][C]65[/C][C]33.947[/C][C]35.6223239306888[/C][C]35.3965[/C][C]1.00637983785653[/C][C]0.952969830549278[/C][/ROW]
[ROW][C]66[/C][C]34.148[/C][C]35.9812650710356[/C][C]36.0360833333333[/C][C]0.99847879521782[/C][C]0.949049454836668[/C][/ROW]
[ROW][C]67[/C][C]35.261[/C][C]NA[/C][C]NA[/C][C]0.991099121169966[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]39.506[/C][C]NA[/C][C]NA[/C][C]0.96608628286822[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]41.591[/C][C]NA[/C][C]NA[/C][C]0.969225045595502[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]39.148[/C][C]NA[/C][C]NA[/C][C]0.977226338056437[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]41.216[/C][C]NA[/C][C]NA[/C][C]0.998485967112688[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]40.225[/C][C]NA[/C][C]NA[/C][C]1.00195633481434[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208479&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208479&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
114.544NANA1.01723828144572NA
214.931NANA1.04860598243148NA
314.886NANA1.02837551267981NA
416.005NANA0.996842500751492NA
517.064NANA1.00637983785653NA
615.168NANA0.99847879521782NA
716.0515.366042070415915.50404166666670.9910991211699661.04451100201664
815.83915.07694379841715.60620833333330.966086282868221.05054447451499
915.13715.225233166244515.70866666666670.9692250455955020.994204806896477
1014.95415.400109861431415.7590.9772263380564370.971032033833171
1115.64815.695159313462415.71895833333330.9984859671126880.996995295650046
1215.30515.725412437646715.69470833333331.001956334814340.973265411046377
1315.57915.969030391418815.69841666666671.017238281445720.975575825090271
1416.34816.434714178816715.67291666666671.048605982431480.994723718473393
1515.92816.16670579402215.7206251.028375512679810.985234728888909
1616.17115.811334255461415.86141666666670.9968425007514921.022747336735
1715.93716.135623400299816.03333333333331.006379837856530.987690379517901
1815.71316.195658884698116.22033333333330.998478795217820.97019825570949
1915.59416.334263320205516.48095833333330.9910991211699660.954680336315517
2015.68316.228558901191116.798250.966086282868220.966382788236913
2116.43816.603551949835217.130750.9692250455955020.990029124470755
2217.03217.009072309277217.40545833333330.9772263380564371.00134796832572
2317.69617.583670709510117.61033333333330.9984859671126881.00638827309414
2417.74517.86112411348417.826251.001956334814340.993498499156815
2519.39418.398958336222218.08716666666671.017238281445721.05408141295797
2620.14819.227588829191118.33633333333331.048605982431481.04786929754871
2720.10819.0469285111618.5213751.028375512679811.05570827276526
2818.58418.656322752606118.71541666666670.9968425007514920.99612341866266
2918.44119.007202470143618.88670833333331.006379837856530.970211162266881
3018.39118.999595358085419.02854166666670.998478795217820.967967983179893
3119.17818.997140179805619.167750.9910991211699661.00952037088123
3218.07918.714258653415919.37120833333330.966086282868220.966054832030446
3318.48319.028512629538219.63270833333330.9692250455955020.971331830282342
3419.64419.432308603308619.88516666666670.9772263380564371.01089378524255
3519.19520.134511130409320.16504166666670.9984859671126880.953338269584784
3619.6520.491426485094220.45141666666671.001956334814340.958937632491997
3720.8321.040938077778720.6843751.017238281445720.989974872935846
3823.59521.934128253678720.91741666666671.048605982431481.07572089153089
3922.93721.809059440258521.20729166666671.028375512679811.05171889979168
4021.81421.414669022393921.48250.9968425007514921.01864754375557
4121.92821.961765944117521.82254166666671.006379837856530.998462512340612
4221.77722.224182627241422.25804166666670.998478795217820.979878556852155
4321.38322.460536058734122.662250.9910991211699660.952025363245279
4421.46722.156061796919322.93383333333330.966086282868220.968899626511464
4522.05222.455853928271523.1688750.9692250455955020.982015650370657
4622.6823.016164044838323.55254166666670.9772263380564370.985394436528023
4724.3224.119219003664324.15579166666670.9984859671126881.00832452312429
4824.97725.01404863954324.96520833333331.001956334814340.998518886723343
4925.20426.219359089191725.77504166666671.017238281445720.961274450464722
5025.73927.794481246076726.5061251.048605982431480.926047144831429
5126.43428.029960010336827.25654166666671.028375512679810.943062351507163
5227.52527.903075324681227.99145833333330.9968425007514920.986450406620708
5330.69528.853664736225228.670751.006379837856531.06381633947049
5432.43629.32582145494529.37050.998478795217821.10605597356696
5530.1629.790209609346630.057750.9910991211699661.0124131516865
5630.23629.606317942423430.6456250.966086282868221.02126850285136
5731.29330.218175396561431.17766666666670.9692250455955021.03556881212494
5831.07730.938334378641431.65933333333330.9772263380564371.0044820002157
5932.22631.966944272932332.01541666666670.9984859671126881.00810386269191
6033.86532.285287509471232.222251.001956334814341.04892979472663
6132.8133.066474731459632.5061251.017238281445720.992243662696356
6232.24234.714013664562333.10491666666671.048605982431480.928789171760744
6332.734.882754483977233.920251.028375512679810.93742597119216
6432.81934.576105165128534.6856250.9968425007514920.949181518371232
6533.94735.622323930688835.39651.006379837856530.952969830549278
6634.14835.981265071035636.03608333333330.998478795217820.949049454836668
6735.261NANA0.991099121169966NA
6839.506NANA0.96608628286822NA
6941.591NANA0.969225045595502NA
7039.148NANA0.977226338056437NA
7141.216NANA0.998485967112688NA
7240.225NANA1.00195633481434NA



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')