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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 10 Aug 2016 21:22:02 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/10/t14708610169qay0zp9c89ia4t.htm/, Retrieved Tue, 30 Apr 2024 04:38:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296242, Retrieved Tue, 30 Apr 2024 04:38:38 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact81
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-08-10 20:22:02] [409a9d71664281dd1fd3bb0995266dd0] [Current]
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Dataseries X:
21571
21493
21422
21272
22747
22676
21571
20831
20909
20909
20980
21130
21051
21643
21864
21643
22455
21935
20759
20467
20467
20610
20026
20467
20097
20467
21051
21272
21792
21571
20246
19726
19506
19726
19363
19506
19064
19805
20168
20246
21643
21643
19805
19363
19363
19584
18622
18180
17668
17817
18480
17960
19363
19584
18180
17668
17375
17668
16855
16563
15388
15680
15751
15830
17226
17076
15388
14647
14355
14725
13322
12367
10601
10750
10750
10601
11854
11926
10451
10159
9568
10380
8905
8022
6333
6697
6255
6404
7509
7730
6996
6917
6917
7879
6184
5079
3163
4709
4488
4566
6333
6112
5300
5671
5671
6996
5450
4566
3163
5008
4859
4930
6476
6333
5813
5892
6255
7067
5813
4787




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296242&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296242&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296242&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
121571NANA-1378.06NA
221493NANA-563.943NA
321422NANA-305.828NA
421272NANA-197.679NA
522747NANA1180.95NA
622676NANA1244.5NA
72157121605.221437.6167.58-34.1632
82083121390.521422.2-31.6563-559.51
92090921421.721446.8-25.1007-512.733
102090922090.821480.7610.126-1181.83
112098021270.721484-213.332-290.668
122113020953.421441-487.564176.605
132105119998.221376.3-1378.061052.81
142164320763.321327.2-563.943879.693
152186420987.821293.7-305.828876.161
162164321065.121262.8-197.679577.888
172245522391.521210.61180.9563.4618
182193522387.721143.21244.5-452.709
192075921243.421075.8167.58-484.413
202046720955.420987.1-31.6563-488.427
212046720879.120904.2-25.1007-412.108
22206102146520854.9610.126-855.001
232002620598.520811.8-213.332-572.459
242046720281.420769-487.564185.564
252009719354.420732.5-1378.06742.601
262046720116.320680.2-563.943350.735
272105120303.520609.3-305.828747.536
282127220334.720532.4-197.679937.263
292179221648.9204681180.95143.087
302157121644.820400.31244.5-73.7928
312024620484.820317.2167.58-238.788
321972620214.920246.6-31.6563-488.927
331950620157.120182.2-25.1007-651.108
341972620712.820102.7610.126-986.793
351936319840.420053.7-213.332-477.376
361950619562.920050.5-487.564-56.9363
371906418657.120035.1-1378.06406.934
381980519437.720001.6-563.943367.318
392016819674.719980.5-305.828493.286
40202461977119968.7-197.679475.013
412164321112.819931.91180.95530.17
422164321090.319845.81244.5552.749
431980519899.919732.3167.58-94.9132
441936319559.719591.3-31.6563-196.677
451936319413.119438.2-25.1007-50.066
461958419882.719272.6610.126-298.709
47186221886919082.3-213.332-247.001
48181801841418901.5-487.564-233.978
49176681737018748-1378.06298.017
501781718045.818609.7-563.943-228.765
511848018150.418456.3-305.828329.578
521796018095.918293.6-197.679-135.904
531936319321.118140.11180.9541.9201
541958419243.617999.11244.5340.374
551818018004.317836.8167.58175.67
561766817621.117652.7-31.656346.9479
571737517424.917450-25.1007-49.8576
581766817857.617247.5610.126-189.626
591685516856.417069.7-213.332-1.37616
601656316388.616876.2-487.564174.397
611538815277.316655.3-1378.06110.726
621568015849.216413.1-563.943-169.182
631575115855.616161.4-305.828-104.589
641583015715.315913-197.679114.721
651722616824.115643.11180.95401.92
661707616565.615321.11244.5510.416
671538815114.414946.8167.58273.628
681464714510.314541.9-31.6563136.74
69143551410314128.1-25.1007251.976
70147251431213701.9610.126412.999
711332213046.813260.2-213.332275.166
721236712334.212821.8-487.56432.8137
731060111023.412401.5-1378.06-422.399
741075011444.812008.8-563.943-694.807
751075011316.511622.3-305.828-566.464
761060111044.111241.8-197.679-443.112
771185412057.710876.71180.95-203.663
781192611756.110511.61244.5169.874
791045110320.310152.8167.58130.67
80101599774.399806.04-31.6563384.615
8195689424.779449.87-25.1007143.226
82103809697.839087.71610.126682.166
8389058518.468731.79-213.332386.541
8480227888.358375.92-487.564133.647
8563336679.078057.12-1378.06-346.066
8666977214.147778.08-563.943-517.14
8762557226.717532.54-305.828-971.714
8864047120.27317.87-197.679-716.196
8975098281.257100.291180.95-772.247
9077308108.796864.291244.5-378.793
9169966777.166609.58167.58218.837
9269176363.016394.67-31.6563553.99
9369176213.116238.21-25.1007703.892
9478796698.136088610.1261180.87
9561845749.085962.42-213.332434.916
9650795358.445846-487.564-279.436
9731634329.865707.92-1378.06-1166.86
9847095021.395585.33-563.943-312.39
9944885175.675481.5-305.828-687.672
10045665195.115392.79-197.679-629.112
10163336506.375325.421180.95-173.372
10261126517.965273.461244.5-405.959
10353005419.665252.08167.58-119.663
10456715232.895264.54-31.6563438.115
10556715267.365292.46-25.1007403.642
10669965933.215323.08610.1261062.79
10754505130.885344.21-213.332319.124
10845664871.815359.38-487.564-305.811
10931634011.95389.96-1378.06-848.899
11050084856.65420.54-563.943151.402
11148595148.265454.08-305.828-289.256
11249305283.75481.38-197.679-353.696
11364766680.415499.461180.95-204.413
11463336768.295523.791244.5-435.293
1155813NANA167.58NA
1165892NANA-31.6563NA
1176255NANA-25.1007NA
1187067NANA610.126NA
1195813NANA-213.332NA
1204787NANA-487.564NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 21571 & NA & NA & -1378.06 & NA \tabularnewline
2 & 21493 & NA & NA & -563.943 & NA \tabularnewline
3 & 21422 & NA & NA & -305.828 & NA \tabularnewline
4 & 21272 & NA & NA & -197.679 & NA \tabularnewline
5 & 22747 & NA & NA & 1180.95 & NA \tabularnewline
6 & 22676 & NA & NA & 1244.5 & NA \tabularnewline
7 & 21571 & 21605.2 & 21437.6 & 167.58 & -34.1632 \tabularnewline
8 & 20831 & 21390.5 & 21422.2 & -31.6563 & -559.51 \tabularnewline
9 & 20909 & 21421.7 & 21446.8 & -25.1007 & -512.733 \tabularnewline
10 & 20909 & 22090.8 & 21480.7 & 610.126 & -1181.83 \tabularnewline
11 & 20980 & 21270.7 & 21484 & -213.332 & -290.668 \tabularnewline
12 & 21130 & 20953.4 & 21441 & -487.564 & 176.605 \tabularnewline
13 & 21051 & 19998.2 & 21376.3 & -1378.06 & 1052.81 \tabularnewline
14 & 21643 & 20763.3 & 21327.2 & -563.943 & 879.693 \tabularnewline
15 & 21864 & 20987.8 & 21293.7 & -305.828 & 876.161 \tabularnewline
16 & 21643 & 21065.1 & 21262.8 & -197.679 & 577.888 \tabularnewline
17 & 22455 & 22391.5 & 21210.6 & 1180.95 & 63.4618 \tabularnewline
18 & 21935 & 22387.7 & 21143.2 & 1244.5 & -452.709 \tabularnewline
19 & 20759 & 21243.4 & 21075.8 & 167.58 & -484.413 \tabularnewline
20 & 20467 & 20955.4 & 20987.1 & -31.6563 & -488.427 \tabularnewline
21 & 20467 & 20879.1 & 20904.2 & -25.1007 & -412.108 \tabularnewline
22 & 20610 & 21465 & 20854.9 & 610.126 & -855.001 \tabularnewline
23 & 20026 & 20598.5 & 20811.8 & -213.332 & -572.459 \tabularnewline
24 & 20467 & 20281.4 & 20769 & -487.564 & 185.564 \tabularnewline
25 & 20097 & 19354.4 & 20732.5 & -1378.06 & 742.601 \tabularnewline
26 & 20467 & 20116.3 & 20680.2 & -563.943 & 350.735 \tabularnewline
27 & 21051 & 20303.5 & 20609.3 & -305.828 & 747.536 \tabularnewline
28 & 21272 & 20334.7 & 20532.4 & -197.679 & 937.263 \tabularnewline
29 & 21792 & 21648.9 & 20468 & 1180.95 & 143.087 \tabularnewline
30 & 21571 & 21644.8 & 20400.3 & 1244.5 & -73.7928 \tabularnewline
31 & 20246 & 20484.8 & 20317.2 & 167.58 & -238.788 \tabularnewline
32 & 19726 & 20214.9 & 20246.6 & -31.6563 & -488.927 \tabularnewline
33 & 19506 & 20157.1 & 20182.2 & -25.1007 & -651.108 \tabularnewline
34 & 19726 & 20712.8 & 20102.7 & 610.126 & -986.793 \tabularnewline
35 & 19363 & 19840.4 & 20053.7 & -213.332 & -477.376 \tabularnewline
36 & 19506 & 19562.9 & 20050.5 & -487.564 & -56.9363 \tabularnewline
37 & 19064 & 18657.1 & 20035.1 & -1378.06 & 406.934 \tabularnewline
38 & 19805 & 19437.7 & 20001.6 & -563.943 & 367.318 \tabularnewline
39 & 20168 & 19674.7 & 19980.5 & -305.828 & 493.286 \tabularnewline
40 & 20246 & 19771 & 19968.7 & -197.679 & 475.013 \tabularnewline
41 & 21643 & 21112.8 & 19931.9 & 1180.95 & 530.17 \tabularnewline
42 & 21643 & 21090.3 & 19845.8 & 1244.5 & 552.749 \tabularnewline
43 & 19805 & 19899.9 & 19732.3 & 167.58 & -94.9132 \tabularnewline
44 & 19363 & 19559.7 & 19591.3 & -31.6563 & -196.677 \tabularnewline
45 & 19363 & 19413.1 & 19438.2 & -25.1007 & -50.066 \tabularnewline
46 & 19584 & 19882.7 & 19272.6 & 610.126 & -298.709 \tabularnewline
47 & 18622 & 18869 & 19082.3 & -213.332 & -247.001 \tabularnewline
48 & 18180 & 18414 & 18901.5 & -487.564 & -233.978 \tabularnewline
49 & 17668 & 17370 & 18748 & -1378.06 & 298.017 \tabularnewline
50 & 17817 & 18045.8 & 18609.7 & -563.943 & -228.765 \tabularnewline
51 & 18480 & 18150.4 & 18456.3 & -305.828 & 329.578 \tabularnewline
52 & 17960 & 18095.9 & 18293.6 & -197.679 & -135.904 \tabularnewline
53 & 19363 & 19321.1 & 18140.1 & 1180.95 & 41.9201 \tabularnewline
54 & 19584 & 19243.6 & 17999.1 & 1244.5 & 340.374 \tabularnewline
55 & 18180 & 18004.3 & 17836.8 & 167.58 & 175.67 \tabularnewline
56 & 17668 & 17621.1 & 17652.7 & -31.6563 & 46.9479 \tabularnewline
57 & 17375 & 17424.9 & 17450 & -25.1007 & -49.8576 \tabularnewline
58 & 17668 & 17857.6 & 17247.5 & 610.126 & -189.626 \tabularnewline
59 & 16855 & 16856.4 & 17069.7 & -213.332 & -1.37616 \tabularnewline
60 & 16563 & 16388.6 & 16876.2 & -487.564 & 174.397 \tabularnewline
61 & 15388 & 15277.3 & 16655.3 & -1378.06 & 110.726 \tabularnewline
62 & 15680 & 15849.2 & 16413.1 & -563.943 & -169.182 \tabularnewline
63 & 15751 & 15855.6 & 16161.4 & -305.828 & -104.589 \tabularnewline
64 & 15830 & 15715.3 & 15913 & -197.679 & 114.721 \tabularnewline
65 & 17226 & 16824.1 & 15643.1 & 1180.95 & 401.92 \tabularnewline
66 & 17076 & 16565.6 & 15321.1 & 1244.5 & 510.416 \tabularnewline
67 & 15388 & 15114.4 & 14946.8 & 167.58 & 273.628 \tabularnewline
68 & 14647 & 14510.3 & 14541.9 & -31.6563 & 136.74 \tabularnewline
69 & 14355 & 14103 & 14128.1 & -25.1007 & 251.976 \tabularnewline
70 & 14725 & 14312 & 13701.9 & 610.126 & 412.999 \tabularnewline
71 & 13322 & 13046.8 & 13260.2 & -213.332 & 275.166 \tabularnewline
72 & 12367 & 12334.2 & 12821.8 & -487.564 & 32.8137 \tabularnewline
73 & 10601 & 11023.4 & 12401.5 & -1378.06 & -422.399 \tabularnewline
74 & 10750 & 11444.8 & 12008.8 & -563.943 & -694.807 \tabularnewline
75 & 10750 & 11316.5 & 11622.3 & -305.828 & -566.464 \tabularnewline
76 & 10601 & 11044.1 & 11241.8 & -197.679 & -443.112 \tabularnewline
77 & 11854 & 12057.7 & 10876.7 & 1180.95 & -203.663 \tabularnewline
78 & 11926 & 11756.1 & 10511.6 & 1244.5 & 169.874 \tabularnewline
79 & 10451 & 10320.3 & 10152.8 & 167.58 & 130.67 \tabularnewline
80 & 10159 & 9774.39 & 9806.04 & -31.6563 & 384.615 \tabularnewline
81 & 9568 & 9424.77 & 9449.87 & -25.1007 & 143.226 \tabularnewline
82 & 10380 & 9697.83 & 9087.71 & 610.126 & 682.166 \tabularnewline
83 & 8905 & 8518.46 & 8731.79 & -213.332 & 386.541 \tabularnewline
84 & 8022 & 7888.35 & 8375.92 & -487.564 & 133.647 \tabularnewline
85 & 6333 & 6679.07 & 8057.12 & -1378.06 & -346.066 \tabularnewline
86 & 6697 & 7214.14 & 7778.08 & -563.943 & -517.14 \tabularnewline
87 & 6255 & 7226.71 & 7532.54 & -305.828 & -971.714 \tabularnewline
88 & 6404 & 7120.2 & 7317.87 & -197.679 & -716.196 \tabularnewline
89 & 7509 & 8281.25 & 7100.29 & 1180.95 & -772.247 \tabularnewline
90 & 7730 & 8108.79 & 6864.29 & 1244.5 & -378.793 \tabularnewline
91 & 6996 & 6777.16 & 6609.58 & 167.58 & 218.837 \tabularnewline
92 & 6917 & 6363.01 & 6394.67 & -31.6563 & 553.99 \tabularnewline
93 & 6917 & 6213.11 & 6238.21 & -25.1007 & 703.892 \tabularnewline
94 & 7879 & 6698.13 & 6088 & 610.126 & 1180.87 \tabularnewline
95 & 6184 & 5749.08 & 5962.42 & -213.332 & 434.916 \tabularnewline
96 & 5079 & 5358.44 & 5846 & -487.564 & -279.436 \tabularnewline
97 & 3163 & 4329.86 & 5707.92 & -1378.06 & -1166.86 \tabularnewline
98 & 4709 & 5021.39 & 5585.33 & -563.943 & -312.39 \tabularnewline
99 & 4488 & 5175.67 & 5481.5 & -305.828 & -687.672 \tabularnewline
100 & 4566 & 5195.11 & 5392.79 & -197.679 & -629.112 \tabularnewline
101 & 6333 & 6506.37 & 5325.42 & 1180.95 & -173.372 \tabularnewline
102 & 6112 & 6517.96 & 5273.46 & 1244.5 & -405.959 \tabularnewline
103 & 5300 & 5419.66 & 5252.08 & 167.58 & -119.663 \tabularnewline
104 & 5671 & 5232.89 & 5264.54 & -31.6563 & 438.115 \tabularnewline
105 & 5671 & 5267.36 & 5292.46 & -25.1007 & 403.642 \tabularnewline
106 & 6996 & 5933.21 & 5323.08 & 610.126 & 1062.79 \tabularnewline
107 & 5450 & 5130.88 & 5344.21 & -213.332 & 319.124 \tabularnewline
108 & 4566 & 4871.81 & 5359.38 & -487.564 & -305.811 \tabularnewline
109 & 3163 & 4011.9 & 5389.96 & -1378.06 & -848.899 \tabularnewline
110 & 5008 & 4856.6 & 5420.54 & -563.943 & 151.402 \tabularnewline
111 & 4859 & 5148.26 & 5454.08 & -305.828 & -289.256 \tabularnewline
112 & 4930 & 5283.7 & 5481.38 & -197.679 & -353.696 \tabularnewline
113 & 6476 & 6680.41 & 5499.46 & 1180.95 & -204.413 \tabularnewline
114 & 6333 & 6768.29 & 5523.79 & 1244.5 & -435.293 \tabularnewline
115 & 5813 & NA & NA & 167.58 & NA \tabularnewline
116 & 5892 & NA & NA & -31.6563 & NA \tabularnewline
117 & 6255 & NA & NA & -25.1007 & NA \tabularnewline
118 & 7067 & NA & NA & 610.126 & NA \tabularnewline
119 & 5813 & NA & NA & -213.332 & NA \tabularnewline
120 & 4787 & NA & NA & -487.564 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296242&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]21571[/C][C]NA[/C][C]NA[/C][C]-1378.06[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]21493[/C][C]NA[/C][C]NA[/C][C]-563.943[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]21422[/C][C]NA[/C][C]NA[/C][C]-305.828[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]21272[/C][C]NA[/C][C]NA[/C][C]-197.679[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]22747[/C][C]NA[/C][C]NA[/C][C]1180.95[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]22676[/C][C]NA[/C][C]NA[/C][C]1244.5[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]21571[/C][C]21605.2[/C][C]21437.6[/C][C]167.58[/C][C]-34.1632[/C][/ROW]
[ROW][C]8[/C][C]20831[/C][C]21390.5[/C][C]21422.2[/C][C]-31.6563[/C][C]-559.51[/C][/ROW]
[ROW][C]9[/C][C]20909[/C][C]21421.7[/C][C]21446.8[/C][C]-25.1007[/C][C]-512.733[/C][/ROW]
[ROW][C]10[/C][C]20909[/C][C]22090.8[/C][C]21480.7[/C][C]610.126[/C][C]-1181.83[/C][/ROW]
[ROW][C]11[/C][C]20980[/C][C]21270.7[/C][C]21484[/C][C]-213.332[/C][C]-290.668[/C][/ROW]
[ROW][C]12[/C][C]21130[/C][C]20953.4[/C][C]21441[/C][C]-487.564[/C][C]176.605[/C][/ROW]
[ROW][C]13[/C][C]21051[/C][C]19998.2[/C][C]21376.3[/C][C]-1378.06[/C][C]1052.81[/C][/ROW]
[ROW][C]14[/C][C]21643[/C][C]20763.3[/C][C]21327.2[/C][C]-563.943[/C][C]879.693[/C][/ROW]
[ROW][C]15[/C][C]21864[/C][C]20987.8[/C][C]21293.7[/C][C]-305.828[/C][C]876.161[/C][/ROW]
[ROW][C]16[/C][C]21643[/C][C]21065.1[/C][C]21262.8[/C][C]-197.679[/C][C]577.888[/C][/ROW]
[ROW][C]17[/C][C]22455[/C][C]22391.5[/C][C]21210.6[/C][C]1180.95[/C][C]63.4618[/C][/ROW]
[ROW][C]18[/C][C]21935[/C][C]22387.7[/C][C]21143.2[/C][C]1244.5[/C][C]-452.709[/C][/ROW]
[ROW][C]19[/C][C]20759[/C][C]21243.4[/C][C]21075.8[/C][C]167.58[/C][C]-484.413[/C][/ROW]
[ROW][C]20[/C][C]20467[/C][C]20955.4[/C][C]20987.1[/C][C]-31.6563[/C][C]-488.427[/C][/ROW]
[ROW][C]21[/C][C]20467[/C][C]20879.1[/C][C]20904.2[/C][C]-25.1007[/C][C]-412.108[/C][/ROW]
[ROW][C]22[/C][C]20610[/C][C]21465[/C][C]20854.9[/C][C]610.126[/C][C]-855.001[/C][/ROW]
[ROW][C]23[/C][C]20026[/C][C]20598.5[/C][C]20811.8[/C][C]-213.332[/C][C]-572.459[/C][/ROW]
[ROW][C]24[/C][C]20467[/C][C]20281.4[/C][C]20769[/C][C]-487.564[/C][C]185.564[/C][/ROW]
[ROW][C]25[/C][C]20097[/C][C]19354.4[/C][C]20732.5[/C][C]-1378.06[/C][C]742.601[/C][/ROW]
[ROW][C]26[/C][C]20467[/C][C]20116.3[/C][C]20680.2[/C][C]-563.943[/C][C]350.735[/C][/ROW]
[ROW][C]27[/C][C]21051[/C][C]20303.5[/C][C]20609.3[/C][C]-305.828[/C][C]747.536[/C][/ROW]
[ROW][C]28[/C][C]21272[/C][C]20334.7[/C][C]20532.4[/C][C]-197.679[/C][C]937.263[/C][/ROW]
[ROW][C]29[/C][C]21792[/C][C]21648.9[/C][C]20468[/C][C]1180.95[/C][C]143.087[/C][/ROW]
[ROW][C]30[/C][C]21571[/C][C]21644.8[/C][C]20400.3[/C][C]1244.5[/C][C]-73.7928[/C][/ROW]
[ROW][C]31[/C][C]20246[/C][C]20484.8[/C][C]20317.2[/C][C]167.58[/C][C]-238.788[/C][/ROW]
[ROW][C]32[/C][C]19726[/C][C]20214.9[/C][C]20246.6[/C][C]-31.6563[/C][C]-488.927[/C][/ROW]
[ROW][C]33[/C][C]19506[/C][C]20157.1[/C][C]20182.2[/C][C]-25.1007[/C][C]-651.108[/C][/ROW]
[ROW][C]34[/C][C]19726[/C][C]20712.8[/C][C]20102.7[/C][C]610.126[/C][C]-986.793[/C][/ROW]
[ROW][C]35[/C][C]19363[/C][C]19840.4[/C][C]20053.7[/C][C]-213.332[/C][C]-477.376[/C][/ROW]
[ROW][C]36[/C][C]19506[/C][C]19562.9[/C][C]20050.5[/C][C]-487.564[/C][C]-56.9363[/C][/ROW]
[ROW][C]37[/C][C]19064[/C][C]18657.1[/C][C]20035.1[/C][C]-1378.06[/C][C]406.934[/C][/ROW]
[ROW][C]38[/C][C]19805[/C][C]19437.7[/C][C]20001.6[/C][C]-563.943[/C][C]367.318[/C][/ROW]
[ROW][C]39[/C][C]20168[/C][C]19674.7[/C][C]19980.5[/C][C]-305.828[/C][C]493.286[/C][/ROW]
[ROW][C]40[/C][C]20246[/C][C]19771[/C][C]19968.7[/C][C]-197.679[/C][C]475.013[/C][/ROW]
[ROW][C]41[/C][C]21643[/C][C]21112.8[/C][C]19931.9[/C][C]1180.95[/C][C]530.17[/C][/ROW]
[ROW][C]42[/C][C]21643[/C][C]21090.3[/C][C]19845.8[/C][C]1244.5[/C][C]552.749[/C][/ROW]
[ROW][C]43[/C][C]19805[/C][C]19899.9[/C][C]19732.3[/C][C]167.58[/C][C]-94.9132[/C][/ROW]
[ROW][C]44[/C][C]19363[/C][C]19559.7[/C][C]19591.3[/C][C]-31.6563[/C][C]-196.677[/C][/ROW]
[ROW][C]45[/C][C]19363[/C][C]19413.1[/C][C]19438.2[/C][C]-25.1007[/C][C]-50.066[/C][/ROW]
[ROW][C]46[/C][C]19584[/C][C]19882.7[/C][C]19272.6[/C][C]610.126[/C][C]-298.709[/C][/ROW]
[ROW][C]47[/C][C]18622[/C][C]18869[/C][C]19082.3[/C][C]-213.332[/C][C]-247.001[/C][/ROW]
[ROW][C]48[/C][C]18180[/C][C]18414[/C][C]18901.5[/C][C]-487.564[/C][C]-233.978[/C][/ROW]
[ROW][C]49[/C][C]17668[/C][C]17370[/C][C]18748[/C][C]-1378.06[/C][C]298.017[/C][/ROW]
[ROW][C]50[/C][C]17817[/C][C]18045.8[/C][C]18609.7[/C][C]-563.943[/C][C]-228.765[/C][/ROW]
[ROW][C]51[/C][C]18480[/C][C]18150.4[/C][C]18456.3[/C][C]-305.828[/C][C]329.578[/C][/ROW]
[ROW][C]52[/C][C]17960[/C][C]18095.9[/C][C]18293.6[/C][C]-197.679[/C][C]-135.904[/C][/ROW]
[ROW][C]53[/C][C]19363[/C][C]19321.1[/C][C]18140.1[/C][C]1180.95[/C][C]41.9201[/C][/ROW]
[ROW][C]54[/C][C]19584[/C][C]19243.6[/C][C]17999.1[/C][C]1244.5[/C][C]340.374[/C][/ROW]
[ROW][C]55[/C][C]18180[/C][C]18004.3[/C][C]17836.8[/C][C]167.58[/C][C]175.67[/C][/ROW]
[ROW][C]56[/C][C]17668[/C][C]17621.1[/C][C]17652.7[/C][C]-31.6563[/C][C]46.9479[/C][/ROW]
[ROW][C]57[/C][C]17375[/C][C]17424.9[/C][C]17450[/C][C]-25.1007[/C][C]-49.8576[/C][/ROW]
[ROW][C]58[/C][C]17668[/C][C]17857.6[/C][C]17247.5[/C][C]610.126[/C][C]-189.626[/C][/ROW]
[ROW][C]59[/C][C]16855[/C][C]16856.4[/C][C]17069.7[/C][C]-213.332[/C][C]-1.37616[/C][/ROW]
[ROW][C]60[/C][C]16563[/C][C]16388.6[/C][C]16876.2[/C][C]-487.564[/C][C]174.397[/C][/ROW]
[ROW][C]61[/C][C]15388[/C][C]15277.3[/C][C]16655.3[/C][C]-1378.06[/C][C]110.726[/C][/ROW]
[ROW][C]62[/C][C]15680[/C][C]15849.2[/C][C]16413.1[/C][C]-563.943[/C][C]-169.182[/C][/ROW]
[ROW][C]63[/C][C]15751[/C][C]15855.6[/C][C]16161.4[/C][C]-305.828[/C][C]-104.589[/C][/ROW]
[ROW][C]64[/C][C]15830[/C][C]15715.3[/C][C]15913[/C][C]-197.679[/C][C]114.721[/C][/ROW]
[ROW][C]65[/C][C]17226[/C][C]16824.1[/C][C]15643.1[/C][C]1180.95[/C][C]401.92[/C][/ROW]
[ROW][C]66[/C][C]17076[/C][C]16565.6[/C][C]15321.1[/C][C]1244.5[/C][C]510.416[/C][/ROW]
[ROW][C]67[/C][C]15388[/C][C]15114.4[/C][C]14946.8[/C][C]167.58[/C][C]273.628[/C][/ROW]
[ROW][C]68[/C][C]14647[/C][C]14510.3[/C][C]14541.9[/C][C]-31.6563[/C][C]136.74[/C][/ROW]
[ROW][C]69[/C][C]14355[/C][C]14103[/C][C]14128.1[/C][C]-25.1007[/C][C]251.976[/C][/ROW]
[ROW][C]70[/C][C]14725[/C][C]14312[/C][C]13701.9[/C][C]610.126[/C][C]412.999[/C][/ROW]
[ROW][C]71[/C][C]13322[/C][C]13046.8[/C][C]13260.2[/C][C]-213.332[/C][C]275.166[/C][/ROW]
[ROW][C]72[/C][C]12367[/C][C]12334.2[/C][C]12821.8[/C][C]-487.564[/C][C]32.8137[/C][/ROW]
[ROW][C]73[/C][C]10601[/C][C]11023.4[/C][C]12401.5[/C][C]-1378.06[/C][C]-422.399[/C][/ROW]
[ROW][C]74[/C][C]10750[/C][C]11444.8[/C][C]12008.8[/C][C]-563.943[/C][C]-694.807[/C][/ROW]
[ROW][C]75[/C][C]10750[/C][C]11316.5[/C][C]11622.3[/C][C]-305.828[/C][C]-566.464[/C][/ROW]
[ROW][C]76[/C][C]10601[/C][C]11044.1[/C][C]11241.8[/C][C]-197.679[/C][C]-443.112[/C][/ROW]
[ROW][C]77[/C][C]11854[/C][C]12057.7[/C][C]10876.7[/C][C]1180.95[/C][C]-203.663[/C][/ROW]
[ROW][C]78[/C][C]11926[/C][C]11756.1[/C][C]10511.6[/C][C]1244.5[/C][C]169.874[/C][/ROW]
[ROW][C]79[/C][C]10451[/C][C]10320.3[/C][C]10152.8[/C][C]167.58[/C][C]130.67[/C][/ROW]
[ROW][C]80[/C][C]10159[/C][C]9774.39[/C][C]9806.04[/C][C]-31.6563[/C][C]384.615[/C][/ROW]
[ROW][C]81[/C][C]9568[/C][C]9424.77[/C][C]9449.87[/C][C]-25.1007[/C][C]143.226[/C][/ROW]
[ROW][C]82[/C][C]10380[/C][C]9697.83[/C][C]9087.71[/C][C]610.126[/C][C]682.166[/C][/ROW]
[ROW][C]83[/C][C]8905[/C][C]8518.46[/C][C]8731.79[/C][C]-213.332[/C][C]386.541[/C][/ROW]
[ROW][C]84[/C][C]8022[/C][C]7888.35[/C][C]8375.92[/C][C]-487.564[/C][C]133.647[/C][/ROW]
[ROW][C]85[/C][C]6333[/C][C]6679.07[/C][C]8057.12[/C][C]-1378.06[/C][C]-346.066[/C][/ROW]
[ROW][C]86[/C][C]6697[/C][C]7214.14[/C][C]7778.08[/C][C]-563.943[/C][C]-517.14[/C][/ROW]
[ROW][C]87[/C][C]6255[/C][C]7226.71[/C][C]7532.54[/C][C]-305.828[/C][C]-971.714[/C][/ROW]
[ROW][C]88[/C][C]6404[/C][C]7120.2[/C][C]7317.87[/C][C]-197.679[/C][C]-716.196[/C][/ROW]
[ROW][C]89[/C][C]7509[/C][C]8281.25[/C][C]7100.29[/C][C]1180.95[/C][C]-772.247[/C][/ROW]
[ROW][C]90[/C][C]7730[/C][C]8108.79[/C][C]6864.29[/C][C]1244.5[/C][C]-378.793[/C][/ROW]
[ROW][C]91[/C][C]6996[/C][C]6777.16[/C][C]6609.58[/C][C]167.58[/C][C]218.837[/C][/ROW]
[ROW][C]92[/C][C]6917[/C][C]6363.01[/C][C]6394.67[/C][C]-31.6563[/C][C]553.99[/C][/ROW]
[ROW][C]93[/C][C]6917[/C][C]6213.11[/C][C]6238.21[/C][C]-25.1007[/C][C]703.892[/C][/ROW]
[ROW][C]94[/C][C]7879[/C][C]6698.13[/C][C]6088[/C][C]610.126[/C][C]1180.87[/C][/ROW]
[ROW][C]95[/C][C]6184[/C][C]5749.08[/C][C]5962.42[/C][C]-213.332[/C][C]434.916[/C][/ROW]
[ROW][C]96[/C][C]5079[/C][C]5358.44[/C][C]5846[/C][C]-487.564[/C][C]-279.436[/C][/ROW]
[ROW][C]97[/C][C]3163[/C][C]4329.86[/C][C]5707.92[/C][C]-1378.06[/C][C]-1166.86[/C][/ROW]
[ROW][C]98[/C][C]4709[/C][C]5021.39[/C][C]5585.33[/C][C]-563.943[/C][C]-312.39[/C][/ROW]
[ROW][C]99[/C][C]4488[/C][C]5175.67[/C][C]5481.5[/C][C]-305.828[/C][C]-687.672[/C][/ROW]
[ROW][C]100[/C][C]4566[/C][C]5195.11[/C][C]5392.79[/C][C]-197.679[/C][C]-629.112[/C][/ROW]
[ROW][C]101[/C][C]6333[/C][C]6506.37[/C][C]5325.42[/C][C]1180.95[/C][C]-173.372[/C][/ROW]
[ROW][C]102[/C][C]6112[/C][C]6517.96[/C][C]5273.46[/C][C]1244.5[/C][C]-405.959[/C][/ROW]
[ROW][C]103[/C][C]5300[/C][C]5419.66[/C][C]5252.08[/C][C]167.58[/C][C]-119.663[/C][/ROW]
[ROW][C]104[/C][C]5671[/C][C]5232.89[/C][C]5264.54[/C][C]-31.6563[/C][C]438.115[/C][/ROW]
[ROW][C]105[/C][C]5671[/C][C]5267.36[/C][C]5292.46[/C][C]-25.1007[/C][C]403.642[/C][/ROW]
[ROW][C]106[/C][C]6996[/C][C]5933.21[/C][C]5323.08[/C][C]610.126[/C][C]1062.79[/C][/ROW]
[ROW][C]107[/C][C]5450[/C][C]5130.88[/C][C]5344.21[/C][C]-213.332[/C][C]319.124[/C][/ROW]
[ROW][C]108[/C][C]4566[/C][C]4871.81[/C][C]5359.38[/C][C]-487.564[/C][C]-305.811[/C][/ROW]
[ROW][C]109[/C][C]3163[/C][C]4011.9[/C][C]5389.96[/C][C]-1378.06[/C][C]-848.899[/C][/ROW]
[ROW][C]110[/C][C]5008[/C][C]4856.6[/C][C]5420.54[/C][C]-563.943[/C][C]151.402[/C][/ROW]
[ROW][C]111[/C][C]4859[/C][C]5148.26[/C][C]5454.08[/C][C]-305.828[/C][C]-289.256[/C][/ROW]
[ROW][C]112[/C][C]4930[/C][C]5283.7[/C][C]5481.38[/C][C]-197.679[/C][C]-353.696[/C][/ROW]
[ROW][C]113[/C][C]6476[/C][C]6680.41[/C][C]5499.46[/C][C]1180.95[/C][C]-204.413[/C][/ROW]
[ROW][C]114[/C][C]6333[/C][C]6768.29[/C][C]5523.79[/C][C]1244.5[/C][C]-435.293[/C][/ROW]
[ROW][C]115[/C][C]5813[/C][C]NA[/C][C]NA[/C][C]167.58[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5892[/C][C]NA[/C][C]NA[/C][C]-31.6563[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]6255[/C][C]NA[/C][C]NA[/C][C]-25.1007[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]7067[/C][C]NA[/C][C]NA[/C][C]610.126[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]5813[/C][C]NA[/C][C]NA[/C][C]-213.332[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]4787[/C][C]NA[/C][C]NA[/C][C]-487.564[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296242&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296242&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
121571NANA-1378.06NA
221493NANA-563.943NA
321422NANA-305.828NA
421272NANA-197.679NA
522747NANA1180.95NA
622676NANA1244.5NA
72157121605.221437.6167.58-34.1632
82083121390.521422.2-31.6563-559.51
92090921421.721446.8-25.1007-512.733
102090922090.821480.7610.126-1181.83
112098021270.721484-213.332-290.668
122113020953.421441-487.564176.605
132105119998.221376.3-1378.061052.81
142164320763.321327.2-563.943879.693
152186420987.821293.7-305.828876.161
162164321065.121262.8-197.679577.888
172245522391.521210.61180.9563.4618
182193522387.721143.21244.5-452.709
192075921243.421075.8167.58-484.413
202046720955.420987.1-31.6563-488.427
212046720879.120904.2-25.1007-412.108
22206102146520854.9610.126-855.001
232002620598.520811.8-213.332-572.459
242046720281.420769-487.564185.564
252009719354.420732.5-1378.06742.601
262046720116.320680.2-563.943350.735
272105120303.520609.3-305.828747.536
282127220334.720532.4-197.679937.263
292179221648.9204681180.95143.087
302157121644.820400.31244.5-73.7928
312024620484.820317.2167.58-238.788
321972620214.920246.6-31.6563-488.927
331950620157.120182.2-25.1007-651.108
341972620712.820102.7610.126-986.793
351936319840.420053.7-213.332-477.376
361950619562.920050.5-487.564-56.9363
371906418657.120035.1-1378.06406.934
381980519437.720001.6-563.943367.318
392016819674.719980.5-305.828493.286
40202461977119968.7-197.679475.013
412164321112.819931.91180.95530.17
422164321090.319845.81244.5552.749
431980519899.919732.3167.58-94.9132
441936319559.719591.3-31.6563-196.677
451936319413.119438.2-25.1007-50.066
461958419882.719272.6610.126-298.709
47186221886919082.3-213.332-247.001
48181801841418901.5-487.564-233.978
49176681737018748-1378.06298.017
501781718045.818609.7-563.943-228.765
511848018150.418456.3-305.828329.578
521796018095.918293.6-197.679-135.904
531936319321.118140.11180.9541.9201
541958419243.617999.11244.5340.374
551818018004.317836.8167.58175.67
561766817621.117652.7-31.656346.9479
571737517424.917450-25.1007-49.8576
581766817857.617247.5610.126-189.626
591685516856.417069.7-213.332-1.37616
601656316388.616876.2-487.564174.397
611538815277.316655.3-1378.06110.726
621568015849.216413.1-563.943-169.182
631575115855.616161.4-305.828-104.589
641583015715.315913-197.679114.721
651722616824.115643.11180.95401.92
661707616565.615321.11244.5510.416
671538815114.414946.8167.58273.628
681464714510.314541.9-31.6563136.74
69143551410314128.1-25.1007251.976
70147251431213701.9610.126412.999
711332213046.813260.2-213.332275.166
721236712334.212821.8-487.56432.8137
731060111023.412401.5-1378.06-422.399
741075011444.812008.8-563.943-694.807
751075011316.511622.3-305.828-566.464
761060111044.111241.8-197.679-443.112
771185412057.710876.71180.95-203.663
781192611756.110511.61244.5169.874
791045110320.310152.8167.58130.67
80101599774.399806.04-31.6563384.615
8195689424.779449.87-25.1007143.226
82103809697.839087.71610.126682.166
8389058518.468731.79-213.332386.541
8480227888.358375.92-487.564133.647
8563336679.078057.12-1378.06-346.066
8666977214.147778.08-563.943-517.14
8762557226.717532.54-305.828-971.714
8864047120.27317.87-197.679-716.196
8975098281.257100.291180.95-772.247
9077308108.796864.291244.5-378.793
9169966777.166609.58167.58218.837
9269176363.016394.67-31.6563553.99
9369176213.116238.21-25.1007703.892
9478796698.136088610.1261180.87
9561845749.085962.42-213.332434.916
9650795358.445846-487.564-279.436
9731634329.865707.92-1378.06-1166.86
9847095021.395585.33-563.943-312.39
9944885175.675481.5-305.828-687.672
10045665195.115392.79-197.679-629.112
10163336506.375325.421180.95-173.372
10261126517.965273.461244.5-405.959
10353005419.665252.08167.58-119.663
10456715232.895264.54-31.6563438.115
10556715267.365292.46-25.1007403.642
10669965933.215323.08610.1261062.79
10754505130.885344.21-213.332319.124
10845664871.815359.38-487.564-305.811
10931634011.95389.96-1378.06-848.899
11050084856.65420.54-563.943151.402
11148595148.265454.08-305.828-289.256
11249305283.75481.38-197.679-353.696
11364766680.415499.461180.95-204.413
11463336768.295523.791244.5-435.293
1155813NANA167.58NA
1165892NANA-31.6563NA
1176255NANA-25.1007NA
1187067NANA610.126NA
1195813NANA-213.332NA
1204787NANA-487.564NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')