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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 26 May 2013 11:45:20 -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/May/26/t1369583254zktxka8istxx37l.htm/, Retrieved Mon, 29 Apr 2024 12:05:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210627, Retrieved Mon, 29 Apr 2024 12:05:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-05-26 15:45:20] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
68.906
39.556
50.669
36.432
40.891
48.428
36.222
33.425
39.401
37.967
34.801
12.657
69.116
41.519
51.321
38.529
41.547
52.073
38.401
40.898
40.439
41.888
37.898
8.771
68.184
50.530
47.221
41.756
45.633
48.138
39.486
39.341
41.117
41.629
29.722
7.054
56.676
34.870
35.117
30.169
30.936
35.699
33.228
27.733
33.666
35.429
27.438
8.170
63.410
38.040
45.389
37.353
37.024
50.957
37.994
36.454
46.080
43.373
37.395
10.963
76.058
50.179
57.452
47.568
50.050
50.856
41.992
39.284
44.521
43.832
41.153
17.100




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210627&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210627&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210627&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
168.906NANA1.66629197141649NA
239.556NANA1.06821590763563NA
350.669NANA1.17005409901838NA
436.432NANA0.965656252182867NA
540.891NANA1.01030458313127NA
648.428NANA1.17292522748999NA
736.22237.836800579218539.9550.9469853730251160.957321957604803
833.42536.040394572452640.04554166666670.8999851936689390.927431577720527
939.40140.73782589304640.15451.01452703664710.967184652991652
1037.96740.720093962407340.26904166666671.011200969207920.932389793477663
1134.80133.782660496976340.383750.836540947707341.03014385155115
1212.6579.626094569823440.56295833333330.2373124388689621.31486345871545
1369.11667.99408532613240.8056251.666291971416491.01650018039785
1441.51944.018818576868341.20779166666671.068215907635630.943210230131394
1551.32148.63027598594341.56241666666671.170054099018381.05533022298362
1638.52940.334536233103441.76904166666670.9656562521828670.955235973889257
1741.54742.494884127351642.06145833333331.010304583131270.977694159030745
1852.07349.296385667332242.02858333333331.172925227489991.05632490688882
1938.40139.61034635199941.82783333333330.9469853730251160.969468927606638
2040.89837.947388199070942.16445833333330.8999851936689391.07775533286903
2140.43942.984580559620742.36908333333331.01452703664710.940779216023991
2241.88842.806875695862742.33270833333331.011200969207920.978534390073426
2337.89835.667944946126142.63741666666670.836540947707341.06252266726447
248.77110.11988242742.64370833333330.2373124388689620.866709674076731
2568.18470.858996655654142.52495833333331.666291971416490.962249018728652
2650.5345.404828717025542.50529166666671.068215907635631.11287722975272
2747.22149.690637513178442.46866666666671.170054099018380.950299741827151
2841.75641.026992237272842.4861250.9656562521828671.01776897898123
2945.63342.568846842041742.13466666666671.010304583131271.07198111730225
3048.13848.937323932066841.72245833333331.172925227489990.983666374295898
3139.48638.988729370055841.17141666666670.9469853730251161.01275421481999
3239.34136.034882163141340.03941666666670.8999851936689391.09174770773194
3341.11739.447432046350638.88258333333331.01452703664711.0423238691859
3441.62938.319924195244937.89545833333331.011200969207921.08635392355932
3529.72230.784950866739936.80029166666670.836540947707340.965471737429723
367.0548.4648457022912835.6696250.2373124388689620.833328834108649
3756.67658.137898886371334.89058333333331.666291971416490.974854631585009
3834.8736.475478418110834.14616666666671.068215907635630.955984719385787
3935.11739.02369306271533.35204166666671.170054099018380.899889201761695
4030.16931.65735032937432.783250.9656562521828670.95298563164988
4130.93632.763925054801332.429751.010304583131270.944209216333394
4235.69937.980589535122432.38108333333331.172925227489990.939927484985125
4333.22830.97415541180132.70816666666670.9469853730251161.07276532832725
4427.73329.808259601976633.12083333333330.8999851936689390.930379712546551
4533.66634.170200577391233.68091666666671.01452703664710.985244436120611
4635.42934.793655748748334.408251.011200969207921.01826034768636
4727.43829.246517208033234.961250.836540947707340.938162988940902
488.178.5078091417448535.85066666666670.2373124388689620.960294226619714
4963.4161.127920971413936.6851.666291971416491.03733284221548
5038.0439.787793402708137.24695833333331.068215907635630.956072120285284
5145.38944.611335164831438.12758333333331.170054099018381.01743200090953
5237.35337.637257142370738.97583333333330.9656562521828670.992447453296199
5337.02440.131023978970239.72170833333331.010304583131270.922578003975219
5450.95747.213710310270240.25295833333331.172925227489991.07928395512935
5537.99438.728229477026240.89633333333330.9469853730251160.981041491259968
5636.45437.735591683494141.9291250.8999851936689390.966037588750603
5746.0843.561296907994742.93754166666671.01452703664711.0578197452965
5843.37344.357131048405943.86579166666671.011200969207920.977813464821881
5937.39537.505616273002244.83416666666670.836540947707340.99705067443241
6010.96310.767508072673445.37270833333330.2373124388689621.01815572609811
6176.05875.874743776114145.53508333333331.666291971416491.00241524669166
6250.17948.94520779790345.81958333333331.068215907635631.02520762006347
6357.45253.673355409474645.87254166666671.170054099018381.07040075213666
6447.56844.25284741904445.82670833333330.9656562521828671.07491388180208
6550.0546.476452393447646.00241666666671.010304583131271.07688942297705
6650.85654.440982330756746.41470833333331.172925227489990.934149198319455
6741.992NANA0.946985373025116NA
6839.284NANA0.899985193668939NA
6944.521NANA1.0145270366471NA
7043.832NANA1.01120096920792NA
7141.153NANA0.83654094770734NA
7217.1NANA0.237312438868962NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 68.906 & NA & NA & 1.66629197141649 & NA \tabularnewline
2 & 39.556 & NA & NA & 1.06821590763563 & NA \tabularnewline
3 & 50.669 & NA & NA & 1.17005409901838 & NA \tabularnewline
4 & 36.432 & NA & NA & 0.965656252182867 & NA \tabularnewline
5 & 40.891 & NA & NA & 1.01030458313127 & NA \tabularnewline
6 & 48.428 & NA & NA & 1.17292522748999 & NA \tabularnewline
7 & 36.222 & 37.8368005792185 & 39.955 & 0.946985373025116 & 0.957321957604803 \tabularnewline
8 & 33.425 & 36.0403945724526 & 40.0455416666667 & 0.899985193668939 & 0.927431577720527 \tabularnewline
9 & 39.401 & 40.737825893046 & 40.1545 & 1.0145270366471 & 0.967184652991652 \tabularnewline
10 & 37.967 & 40.7200939624073 & 40.2690416666667 & 1.01120096920792 & 0.932389793477663 \tabularnewline
11 & 34.801 & 33.7826604969763 & 40.38375 & 0.83654094770734 & 1.03014385155115 \tabularnewline
12 & 12.657 & 9.6260945698234 & 40.5629583333333 & 0.237312438868962 & 1.31486345871545 \tabularnewline
13 & 69.116 & 67.994085326132 & 40.805625 & 1.66629197141649 & 1.01650018039785 \tabularnewline
14 & 41.519 & 44.0188185768683 & 41.2077916666667 & 1.06821590763563 & 0.943210230131394 \tabularnewline
15 & 51.321 & 48.630275985943 & 41.5624166666667 & 1.17005409901838 & 1.05533022298362 \tabularnewline
16 & 38.529 & 40.3345362331034 & 41.7690416666667 & 0.965656252182867 & 0.955235973889257 \tabularnewline
17 & 41.547 & 42.4948841273516 & 42.0614583333333 & 1.01030458313127 & 0.977694159030745 \tabularnewline
18 & 52.073 & 49.2963856673322 & 42.0285833333333 & 1.17292522748999 & 1.05632490688882 \tabularnewline
19 & 38.401 & 39.610346351999 & 41.8278333333333 & 0.946985373025116 & 0.969468927606638 \tabularnewline
20 & 40.898 & 37.9473881990709 & 42.1644583333333 & 0.899985193668939 & 1.07775533286903 \tabularnewline
21 & 40.439 & 42.9845805596207 & 42.3690833333333 & 1.0145270366471 & 0.940779216023991 \tabularnewline
22 & 41.888 & 42.8068756958627 & 42.3327083333333 & 1.01120096920792 & 0.978534390073426 \tabularnewline
23 & 37.898 & 35.6679449461261 & 42.6374166666667 & 0.83654094770734 & 1.06252266726447 \tabularnewline
24 & 8.771 & 10.119882427 & 42.6437083333333 & 0.237312438868962 & 0.866709674076731 \tabularnewline
25 & 68.184 & 70.8589966556541 & 42.5249583333333 & 1.66629197141649 & 0.962249018728652 \tabularnewline
26 & 50.53 & 45.4048287170255 & 42.5052916666667 & 1.06821590763563 & 1.11287722975272 \tabularnewline
27 & 47.221 & 49.6906375131784 & 42.4686666666667 & 1.17005409901838 & 0.950299741827151 \tabularnewline
28 & 41.756 & 41.0269922372728 & 42.486125 & 0.965656252182867 & 1.01776897898123 \tabularnewline
29 & 45.633 & 42.5688468420417 & 42.1346666666667 & 1.01030458313127 & 1.07198111730225 \tabularnewline
30 & 48.138 & 48.9373239320668 & 41.7224583333333 & 1.17292522748999 & 0.983666374295898 \tabularnewline
31 & 39.486 & 38.9887293700558 & 41.1714166666667 & 0.946985373025116 & 1.01275421481999 \tabularnewline
32 & 39.341 & 36.0348821631413 & 40.0394166666667 & 0.899985193668939 & 1.09174770773194 \tabularnewline
33 & 41.117 & 39.4474320463506 & 38.8825833333333 & 1.0145270366471 & 1.0423238691859 \tabularnewline
34 & 41.629 & 38.3199241952449 & 37.8954583333333 & 1.01120096920792 & 1.08635392355932 \tabularnewline
35 & 29.722 & 30.7849508667399 & 36.8002916666667 & 0.83654094770734 & 0.965471737429723 \tabularnewline
36 & 7.054 & 8.46484570229128 & 35.669625 & 0.237312438868962 & 0.833328834108649 \tabularnewline
37 & 56.676 & 58.1378988863713 & 34.8905833333333 & 1.66629197141649 & 0.974854631585009 \tabularnewline
38 & 34.87 & 36.4754784181108 & 34.1461666666667 & 1.06821590763563 & 0.955984719385787 \tabularnewline
39 & 35.117 & 39.023693062715 & 33.3520416666667 & 1.17005409901838 & 0.899889201761695 \tabularnewline
40 & 30.169 & 31.657350329374 & 32.78325 & 0.965656252182867 & 0.95298563164988 \tabularnewline
41 & 30.936 & 32.7639250548013 & 32.42975 & 1.01030458313127 & 0.944209216333394 \tabularnewline
42 & 35.699 & 37.9805895351224 & 32.3810833333333 & 1.17292522748999 & 0.939927484985125 \tabularnewline
43 & 33.228 & 30.974155411801 & 32.7081666666667 & 0.946985373025116 & 1.07276532832725 \tabularnewline
44 & 27.733 & 29.8082596019766 & 33.1208333333333 & 0.899985193668939 & 0.930379712546551 \tabularnewline
45 & 33.666 & 34.1702005773912 & 33.6809166666667 & 1.0145270366471 & 0.985244436120611 \tabularnewline
46 & 35.429 & 34.7936557487483 & 34.40825 & 1.01120096920792 & 1.01826034768636 \tabularnewline
47 & 27.438 & 29.2465172080332 & 34.96125 & 0.83654094770734 & 0.938162988940902 \tabularnewline
48 & 8.17 & 8.50780914174485 & 35.8506666666667 & 0.237312438868962 & 0.960294226619714 \tabularnewline
49 & 63.41 & 61.1279209714139 & 36.685 & 1.66629197141649 & 1.03733284221548 \tabularnewline
50 & 38.04 & 39.7877934027081 & 37.2469583333333 & 1.06821590763563 & 0.956072120285284 \tabularnewline
51 & 45.389 & 44.6113351648314 & 38.1275833333333 & 1.17005409901838 & 1.01743200090953 \tabularnewline
52 & 37.353 & 37.6372571423707 & 38.9758333333333 & 0.965656252182867 & 0.992447453296199 \tabularnewline
53 & 37.024 & 40.1310239789702 & 39.7217083333333 & 1.01030458313127 & 0.922578003975219 \tabularnewline
54 & 50.957 & 47.2137103102702 & 40.2529583333333 & 1.17292522748999 & 1.07928395512935 \tabularnewline
55 & 37.994 & 38.7282294770262 & 40.8963333333333 & 0.946985373025116 & 0.981041491259968 \tabularnewline
56 & 36.454 & 37.7355916834941 & 41.929125 & 0.899985193668939 & 0.966037588750603 \tabularnewline
57 & 46.08 & 43.5612969079947 & 42.9375416666667 & 1.0145270366471 & 1.0578197452965 \tabularnewline
58 & 43.373 & 44.3571310484059 & 43.8657916666667 & 1.01120096920792 & 0.977813464821881 \tabularnewline
59 & 37.395 & 37.5056162730022 & 44.8341666666667 & 0.83654094770734 & 0.99705067443241 \tabularnewline
60 & 10.963 & 10.7675080726734 & 45.3727083333333 & 0.237312438868962 & 1.01815572609811 \tabularnewline
61 & 76.058 & 75.8747437761141 & 45.5350833333333 & 1.66629197141649 & 1.00241524669166 \tabularnewline
62 & 50.179 & 48.945207797903 & 45.8195833333333 & 1.06821590763563 & 1.02520762006347 \tabularnewline
63 & 57.452 & 53.6733554094746 & 45.8725416666667 & 1.17005409901838 & 1.07040075213666 \tabularnewline
64 & 47.568 & 44.252847419044 & 45.8267083333333 & 0.965656252182867 & 1.07491388180208 \tabularnewline
65 & 50.05 & 46.4764523934476 & 46.0024166666667 & 1.01030458313127 & 1.07688942297705 \tabularnewline
66 & 50.856 & 54.4409823307567 & 46.4147083333333 & 1.17292522748999 & 0.934149198319455 \tabularnewline
67 & 41.992 & NA & NA & 0.946985373025116 & NA \tabularnewline
68 & 39.284 & NA & NA & 0.899985193668939 & NA \tabularnewline
69 & 44.521 & NA & NA & 1.0145270366471 & NA \tabularnewline
70 & 43.832 & NA & NA & 1.01120096920792 & NA \tabularnewline
71 & 41.153 & NA & NA & 0.83654094770734 & NA \tabularnewline
72 & 17.1 & NA & NA & 0.237312438868962 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210627&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]68.906[/C][C]NA[/C][C]NA[/C][C]1.66629197141649[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]39.556[/C][C]NA[/C][C]NA[/C][C]1.06821590763563[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]50.669[/C][C]NA[/C][C]NA[/C][C]1.17005409901838[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]36.432[/C][C]NA[/C][C]NA[/C][C]0.965656252182867[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]40.891[/C][C]NA[/C][C]NA[/C][C]1.01030458313127[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]48.428[/C][C]NA[/C][C]NA[/C][C]1.17292522748999[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]36.222[/C][C]37.8368005792185[/C][C]39.955[/C][C]0.946985373025116[/C][C]0.957321957604803[/C][/ROW]
[ROW][C]8[/C][C]33.425[/C][C]36.0403945724526[/C][C]40.0455416666667[/C][C]0.899985193668939[/C][C]0.927431577720527[/C][/ROW]
[ROW][C]9[/C][C]39.401[/C][C]40.737825893046[/C][C]40.1545[/C][C]1.0145270366471[/C][C]0.967184652991652[/C][/ROW]
[ROW][C]10[/C][C]37.967[/C][C]40.7200939624073[/C][C]40.2690416666667[/C][C]1.01120096920792[/C][C]0.932389793477663[/C][/ROW]
[ROW][C]11[/C][C]34.801[/C][C]33.7826604969763[/C][C]40.38375[/C][C]0.83654094770734[/C][C]1.03014385155115[/C][/ROW]
[ROW][C]12[/C][C]12.657[/C][C]9.6260945698234[/C][C]40.5629583333333[/C][C]0.237312438868962[/C][C]1.31486345871545[/C][/ROW]
[ROW][C]13[/C][C]69.116[/C][C]67.994085326132[/C][C]40.805625[/C][C]1.66629197141649[/C][C]1.01650018039785[/C][/ROW]
[ROW][C]14[/C][C]41.519[/C][C]44.0188185768683[/C][C]41.2077916666667[/C][C]1.06821590763563[/C][C]0.943210230131394[/C][/ROW]
[ROW][C]15[/C][C]51.321[/C][C]48.630275985943[/C][C]41.5624166666667[/C][C]1.17005409901838[/C][C]1.05533022298362[/C][/ROW]
[ROW][C]16[/C][C]38.529[/C][C]40.3345362331034[/C][C]41.7690416666667[/C][C]0.965656252182867[/C][C]0.955235973889257[/C][/ROW]
[ROW][C]17[/C][C]41.547[/C][C]42.4948841273516[/C][C]42.0614583333333[/C][C]1.01030458313127[/C][C]0.977694159030745[/C][/ROW]
[ROW][C]18[/C][C]52.073[/C][C]49.2963856673322[/C][C]42.0285833333333[/C][C]1.17292522748999[/C][C]1.05632490688882[/C][/ROW]
[ROW][C]19[/C][C]38.401[/C][C]39.610346351999[/C][C]41.8278333333333[/C][C]0.946985373025116[/C][C]0.969468927606638[/C][/ROW]
[ROW][C]20[/C][C]40.898[/C][C]37.9473881990709[/C][C]42.1644583333333[/C][C]0.899985193668939[/C][C]1.07775533286903[/C][/ROW]
[ROW][C]21[/C][C]40.439[/C][C]42.9845805596207[/C][C]42.3690833333333[/C][C]1.0145270366471[/C][C]0.940779216023991[/C][/ROW]
[ROW][C]22[/C][C]41.888[/C][C]42.8068756958627[/C][C]42.3327083333333[/C][C]1.01120096920792[/C][C]0.978534390073426[/C][/ROW]
[ROW][C]23[/C][C]37.898[/C][C]35.6679449461261[/C][C]42.6374166666667[/C][C]0.83654094770734[/C][C]1.06252266726447[/C][/ROW]
[ROW][C]24[/C][C]8.771[/C][C]10.119882427[/C][C]42.6437083333333[/C][C]0.237312438868962[/C][C]0.866709674076731[/C][/ROW]
[ROW][C]25[/C][C]68.184[/C][C]70.8589966556541[/C][C]42.5249583333333[/C][C]1.66629197141649[/C][C]0.962249018728652[/C][/ROW]
[ROW][C]26[/C][C]50.53[/C][C]45.4048287170255[/C][C]42.5052916666667[/C][C]1.06821590763563[/C][C]1.11287722975272[/C][/ROW]
[ROW][C]27[/C][C]47.221[/C][C]49.6906375131784[/C][C]42.4686666666667[/C][C]1.17005409901838[/C][C]0.950299741827151[/C][/ROW]
[ROW][C]28[/C][C]41.756[/C][C]41.0269922372728[/C][C]42.486125[/C][C]0.965656252182867[/C][C]1.01776897898123[/C][/ROW]
[ROW][C]29[/C][C]45.633[/C][C]42.5688468420417[/C][C]42.1346666666667[/C][C]1.01030458313127[/C][C]1.07198111730225[/C][/ROW]
[ROW][C]30[/C][C]48.138[/C][C]48.9373239320668[/C][C]41.7224583333333[/C][C]1.17292522748999[/C][C]0.983666374295898[/C][/ROW]
[ROW][C]31[/C][C]39.486[/C][C]38.9887293700558[/C][C]41.1714166666667[/C][C]0.946985373025116[/C][C]1.01275421481999[/C][/ROW]
[ROW][C]32[/C][C]39.341[/C][C]36.0348821631413[/C][C]40.0394166666667[/C][C]0.899985193668939[/C][C]1.09174770773194[/C][/ROW]
[ROW][C]33[/C][C]41.117[/C][C]39.4474320463506[/C][C]38.8825833333333[/C][C]1.0145270366471[/C][C]1.0423238691859[/C][/ROW]
[ROW][C]34[/C][C]41.629[/C][C]38.3199241952449[/C][C]37.8954583333333[/C][C]1.01120096920792[/C][C]1.08635392355932[/C][/ROW]
[ROW][C]35[/C][C]29.722[/C][C]30.7849508667399[/C][C]36.8002916666667[/C][C]0.83654094770734[/C][C]0.965471737429723[/C][/ROW]
[ROW][C]36[/C][C]7.054[/C][C]8.46484570229128[/C][C]35.669625[/C][C]0.237312438868962[/C][C]0.833328834108649[/C][/ROW]
[ROW][C]37[/C][C]56.676[/C][C]58.1378988863713[/C][C]34.8905833333333[/C][C]1.66629197141649[/C][C]0.974854631585009[/C][/ROW]
[ROW][C]38[/C][C]34.87[/C][C]36.4754784181108[/C][C]34.1461666666667[/C][C]1.06821590763563[/C][C]0.955984719385787[/C][/ROW]
[ROW][C]39[/C][C]35.117[/C][C]39.023693062715[/C][C]33.3520416666667[/C][C]1.17005409901838[/C][C]0.899889201761695[/C][/ROW]
[ROW][C]40[/C][C]30.169[/C][C]31.657350329374[/C][C]32.78325[/C][C]0.965656252182867[/C][C]0.95298563164988[/C][/ROW]
[ROW][C]41[/C][C]30.936[/C][C]32.7639250548013[/C][C]32.42975[/C][C]1.01030458313127[/C][C]0.944209216333394[/C][/ROW]
[ROW][C]42[/C][C]35.699[/C][C]37.9805895351224[/C][C]32.3810833333333[/C][C]1.17292522748999[/C][C]0.939927484985125[/C][/ROW]
[ROW][C]43[/C][C]33.228[/C][C]30.974155411801[/C][C]32.7081666666667[/C][C]0.946985373025116[/C][C]1.07276532832725[/C][/ROW]
[ROW][C]44[/C][C]27.733[/C][C]29.8082596019766[/C][C]33.1208333333333[/C][C]0.899985193668939[/C][C]0.930379712546551[/C][/ROW]
[ROW][C]45[/C][C]33.666[/C][C]34.1702005773912[/C][C]33.6809166666667[/C][C]1.0145270366471[/C][C]0.985244436120611[/C][/ROW]
[ROW][C]46[/C][C]35.429[/C][C]34.7936557487483[/C][C]34.40825[/C][C]1.01120096920792[/C][C]1.01826034768636[/C][/ROW]
[ROW][C]47[/C][C]27.438[/C][C]29.2465172080332[/C][C]34.96125[/C][C]0.83654094770734[/C][C]0.938162988940902[/C][/ROW]
[ROW][C]48[/C][C]8.17[/C][C]8.50780914174485[/C][C]35.8506666666667[/C][C]0.237312438868962[/C][C]0.960294226619714[/C][/ROW]
[ROW][C]49[/C][C]63.41[/C][C]61.1279209714139[/C][C]36.685[/C][C]1.66629197141649[/C][C]1.03733284221548[/C][/ROW]
[ROW][C]50[/C][C]38.04[/C][C]39.7877934027081[/C][C]37.2469583333333[/C][C]1.06821590763563[/C][C]0.956072120285284[/C][/ROW]
[ROW][C]51[/C][C]45.389[/C][C]44.6113351648314[/C][C]38.1275833333333[/C][C]1.17005409901838[/C][C]1.01743200090953[/C][/ROW]
[ROW][C]52[/C][C]37.353[/C][C]37.6372571423707[/C][C]38.9758333333333[/C][C]0.965656252182867[/C][C]0.992447453296199[/C][/ROW]
[ROW][C]53[/C][C]37.024[/C][C]40.1310239789702[/C][C]39.7217083333333[/C][C]1.01030458313127[/C][C]0.922578003975219[/C][/ROW]
[ROW][C]54[/C][C]50.957[/C][C]47.2137103102702[/C][C]40.2529583333333[/C][C]1.17292522748999[/C][C]1.07928395512935[/C][/ROW]
[ROW][C]55[/C][C]37.994[/C][C]38.7282294770262[/C][C]40.8963333333333[/C][C]0.946985373025116[/C][C]0.981041491259968[/C][/ROW]
[ROW][C]56[/C][C]36.454[/C][C]37.7355916834941[/C][C]41.929125[/C][C]0.899985193668939[/C][C]0.966037588750603[/C][/ROW]
[ROW][C]57[/C][C]46.08[/C][C]43.5612969079947[/C][C]42.9375416666667[/C][C]1.0145270366471[/C][C]1.0578197452965[/C][/ROW]
[ROW][C]58[/C][C]43.373[/C][C]44.3571310484059[/C][C]43.8657916666667[/C][C]1.01120096920792[/C][C]0.977813464821881[/C][/ROW]
[ROW][C]59[/C][C]37.395[/C][C]37.5056162730022[/C][C]44.8341666666667[/C][C]0.83654094770734[/C][C]0.99705067443241[/C][/ROW]
[ROW][C]60[/C][C]10.963[/C][C]10.7675080726734[/C][C]45.3727083333333[/C][C]0.237312438868962[/C][C]1.01815572609811[/C][/ROW]
[ROW][C]61[/C][C]76.058[/C][C]75.8747437761141[/C][C]45.5350833333333[/C][C]1.66629197141649[/C][C]1.00241524669166[/C][/ROW]
[ROW][C]62[/C][C]50.179[/C][C]48.945207797903[/C][C]45.8195833333333[/C][C]1.06821590763563[/C][C]1.02520762006347[/C][/ROW]
[ROW][C]63[/C][C]57.452[/C][C]53.6733554094746[/C][C]45.8725416666667[/C][C]1.17005409901838[/C][C]1.07040075213666[/C][/ROW]
[ROW][C]64[/C][C]47.568[/C][C]44.252847419044[/C][C]45.8267083333333[/C][C]0.965656252182867[/C][C]1.07491388180208[/C][/ROW]
[ROW][C]65[/C][C]50.05[/C][C]46.4764523934476[/C][C]46.0024166666667[/C][C]1.01030458313127[/C][C]1.07688942297705[/C][/ROW]
[ROW][C]66[/C][C]50.856[/C][C]54.4409823307567[/C][C]46.4147083333333[/C][C]1.17292522748999[/C][C]0.934149198319455[/C][/ROW]
[ROW][C]67[/C][C]41.992[/C][C]NA[/C][C]NA[/C][C]0.946985373025116[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]39.284[/C][C]NA[/C][C]NA[/C][C]0.899985193668939[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]44.521[/C][C]NA[/C][C]NA[/C][C]1.0145270366471[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]43.832[/C][C]NA[/C][C]NA[/C][C]1.01120096920792[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]41.153[/C][C]NA[/C][C]NA[/C][C]0.83654094770734[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]17.1[/C][C]NA[/C][C]NA[/C][C]0.237312438868962[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210627&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210627&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
168.906NANA1.66629197141649NA
239.556NANA1.06821590763563NA
350.669NANA1.17005409901838NA
436.432NANA0.965656252182867NA
540.891NANA1.01030458313127NA
648.428NANA1.17292522748999NA
736.22237.836800579218539.9550.9469853730251160.957321957604803
833.42536.040394572452640.04554166666670.8999851936689390.927431577720527
939.40140.73782589304640.15451.01452703664710.967184652991652
1037.96740.720093962407340.26904166666671.011200969207920.932389793477663
1134.80133.782660496976340.383750.836540947707341.03014385155115
1212.6579.626094569823440.56295833333330.2373124388689621.31486345871545
1369.11667.99408532613240.8056251.666291971416491.01650018039785
1441.51944.018818576868341.20779166666671.068215907635630.943210230131394
1551.32148.63027598594341.56241666666671.170054099018381.05533022298362
1638.52940.334536233103441.76904166666670.9656562521828670.955235973889257
1741.54742.494884127351642.06145833333331.010304583131270.977694159030745
1852.07349.296385667332242.02858333333331.172925227489991.05632490688882
1938.40139.61034635199941.82783333333330.9469853730251160.969468927606638
2040.89837.947388199070942.16445833333330.8999851936689391.07775533286903
2140.43942.984580559620742.36908333333331.01452703664710.940779216023991
2241.88842.806875695862742.33270833333331.011200969207920.978534390073426
2337.89835.667944946126142.63741666666670.836540947707341.06252266726447
248.77110.11988242742.64370833333330.2373124388689620.866709674076731
2568.18470.858996655654142.52495833333331.666291971416490.962249018728652
2650.5345.404828717025542.50529166666671.068215907635631.11287722975272
2747.22149.690637513178442.46866666666671.170054099018380.950299741827151
2841.75641.026992237272842.4861250.9656562521828671.01776897898123
2945.63342.568846842041742.13466666666671.010304583131271.07198111730225
3048.13848.937323932066841.72245833333331.172925227489990.983666374295898
3139.48638.988729370055841.17141666666670.9469853730251161.01275421481999
3239.34136.034882163141340.03941666666670.8999851936689391.09174770773194
3341.11739.447432046350638.88258333333331.01452703664711.0423238691859
3441.62938.319924195244937.89545833333331.011200969207921.08635392355932
3529.72230.784950866739936.80029166666670.836540947707340.965471737429723
367.0548.4648457022912835.6696250.2373124388689620.833328834108649
3756.67658.137898886371334.89058333333331.666291971416490.974854631585009
3834.8736.475478418110834.14616666666671.068215907635630.955984719385787
3935.11739.02369306271533.35204166666671.170054099018380.899889201761695
4030.16931.65735032937432.783250.9656562521828670.95298563164988
4130.93632.763925054801332.429751.010304583131270.944209216333394
4235.69937.980589535122432.38108333333331.172925227489990.939927484985125
4333.22830.97415541180132.70816666666670.9469853730251161.07276532832725
4427.73329.808259601976633.12083333333330.8999851936689390.930379712546551
4533.66634.170200577391233.68091666666671.01452703664710.985244436120611
4635.42934.793655748748334.408251.011200969207921.01826034768636
4727.43829.246517208033234.961250.836540947707340.938162988940902
488.178.5078091417448535.85066666666670.2373124388689620.960294226619714
4963.4161.127920971413936.6851.666291971416491.03733284221548
5038.0439.787793402708137.24695833333331.068215907635630.956072120285284
5145.38944.611335164831438.12758333333331.170054099018381.01743200090953
5237.35337.637257142370738.97583333333330.9656562521828670.992447453296199
5337.02440.131023978970239.72170833333331.010304583131270.922578003975219
5450.95747.213710310270240.25295833333331.172925227489991.07928395512935
5537.99438.728229477026240.89633333333330.9469853730251160.981041491259968
5636.45437.735591683494141.9291250.8999851936689390.966037588750603
5746.0843.561296907994742.93754166666671.01452703664711.0578197452965
5843.37344.357131048405943.86579166666671.011200969207920.977813464821881
5937.39537.505616273002244.83416666666670.836540947707340.99705067443241
6010.96310.767508072673445.37270833333330.2373124388689621.01815572609811
6176.05875.874743776114145.53508333333331.666291971416491.00241524669166
6250.17948.94520779790345.81958333333331.068215907635631.02520762006347
6357.45253.673355409474645.87254166666671.170054099018381.07040075213666
6447.56844.25284741904445.82670833333330.9656562521828671.07491388180208
6550.0546.476452393447646.00241666666671.010304583131271.07688942297705
6650.85654.440982330756746.41470833333331.172925227489990.934149198319455
6741.992NANA0.946985373025116NA
6839.284NANA0.899985193668939NA
6944.521NANA1.0145270366471NA
7043.832NANA1.01120096920792NA
7141.153NANA0.83654094770734NA
7217.1NANA0.237312438868962NA



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')