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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 18 Dec 2016 14:55:20 +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/Dec/18/t148206945927b3jpat3t2m57t.htm/, Retrieved Wed, 08 May 2024 05:03:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301097, Retrieved Wed, 08 May 2024 05:03:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-18 13:55:20] [9ac947b5174fcc9cd01e144b03ceb277] [Current]
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Dataseries X:
4861
3665
6683
6824
7811
7242
7458
7856
6477
7577
5999
4628
4144
3778
4320
4948
5132
5460
5598
5583
5917
6458
5079
4486
3763
3531
5014
5162
4880
4720
4631
4315
4268
4172
3432
2705
2359
2729
4043
4301
4576
4984
4854
4847
5038
4950
4566
3943
3328
3106
4821
4876
5691
6576
5850
6499
6244
5855
5304
4035
4167
4791
5215
5949
6459
6680
6413
6626
6642
6529
5691
4743
3535
3314
5564
6287
6738
6355
6745
7005
6575
6719
5196
4304
4967
4175
5579
7009
6997
7062
7214
6918
6874
7175
5375
4675
4422
4567
5971
6560
6415
6727
7077
6589
6800
6982
6118
4500
3195
4482
6619
6237
6520
7043
6188
6774
6118
6308
5230
4587
4976
4561
5456
5691
6163
6133




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301097&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301097&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
14861NANA0.696421NA
23665NANA0.710763NA
36683NANA0.976692NA
46824NANA1.06178NA
57811NANA1.10728NA
67242NANA1.15493NA
774587257.036393.541.135061.02769
878567322.666368.381.149851.07283
964777013.656274.621.117780.923485
1075777000.4260981.147991.08236
1159995648.445908.210.9560331.06206
1246284494.545722.330.7854381.02969
1341443879.475570.580.6964211.06819
1437783836.965398.380.7107630.984633
1543205157.265280.330.9766920.837654
1649485532.255210.381.061780.894392
1751325675.265125.421.107280.904276
1854605868.395081.171.154930.930409
1955985742.685059.381.135060.974807
2055835787.425033.211.149850.964679
2159175646.845051.831.117781.04784
2264585842.875089.671.147991.10528
2350794864.375088.080.9560331.04412
2444863963.915046.750.7854381.13171
2537633465.134975.620.6964211.08596
2635313470.34882.50.7107631.01749
2750144649.994760.960.9766921.07828
2851624880.9845971.061781.05757
2948804908.74433.121.107280.994153
3047204954.984290.291.154930.952576
3146314719.094157.581.135060.981333
3243154674.94065.671.149850.923015
3342684461.943991.791.117780.956534
3441724494.893915.461.147990.928165
3534323696.93866.920.9560330.928346
3627053035.913865.250.7854380.891
3723592705.973885.540.6964210.871775
3827292784.0639170.7107630.980224
3940433878.693971.250.9766921.04236
4043014285.064035.751.061781.00372
4145764556.914115.421.107281.00419
4249844867.164214.251.154931.02401
4348544887.794306.211.135060.993087
4448475015.974362.291.149850.966314
4550384929.874410.421.117781.02193
4649505127.824466.791.147990.965323
4745664337.724537.210.9560331.05263
4839433652.2946500.7854381.0796
4933283313.464757.830.6964211.00439
5031063460.114868.170.7107630.897659
5148214871.014987.250.9766920.989733
5248765388.735075.211.061780.904851
5356915695.475143.671.107280.999216
5465765980.515178.251.154931.09957
5558505921.645217.041.135060.987902
5664996119.735322.211.149851.06198
5762446045.885408.831.117781.03277
5858556279.445469.961.147990.932408
5953045302.795546.670.9560331.00023
6040354385.155830.7854380.920161
6141673907.485610.790.6964211.06642
6247914008.385639.540.7107631.19525
6352155529.465661.420.9766920.94313
6459496058.585706.081.061780.981913
6564596367.175750.291.107281.01442
6666806693.885795.921.154930.997927
6764136582.295799.081.135060.974281
6866266567.025711.211.149851.00898
6966426331.345664.211.117781.04907
7065296535.35692.831.147990.999037
7156915467.115718.540.9560331.04095
7247434490.065716.620.7854381.05633
7335353981.385716.920.6964210.887882
7433144084.435746.540.7107630.811374
7555645625.35759.540.9766920.989103
7662876120.785764.671.061781.02716
7767386369.025751.961.107281.05793
7863556598.165713.041.154930.963147
7967456531.595754.421.135061.03267
8070056726.565849.961.149851.04139
8165756579.765886.461.117780.999276
8267196792.835917.171.147990.989132
8351965696.085958.040.9560330.912206
8443044711.295998.290.7854380.913551
8549674211.466047.290.6964211.1794
8641754309.56063.210.7107630.968789
8755795930.526072.040.9766920.940727
8870096480.556103.51.061781.08154
8969976787.576129.961.107281.03086
9070627106.146152.881.154930.993789
9172146975.636145.621.135061.03417
9269187059.26139.251.149850.979998
9368746898.846171.921.117780.996399
9471757082.556169.541.147991.01305
9553755857.216126.580.9560330.917672
9646754782.046088.380.7854380.977616
9744224226.386068.710.6964211.04629
9845674299.616049.290.7107631.06219
9959715891.96032.50.9766921.01343
10065606393.356021.371.061781.02607
10164156692.716044.291.107280.958506
10267277008.066067.961.154930.959894
10370776821.176009.541.135061.03751
10465896847.25954.871.149850.962292
10568006682.465978.331.117781.01759
10669826878.595991.871.147991.01503
10761185719.745982.790.9560331.06963
10845004712.896000.330.7854380.954828
10931954162.135976.460.6964210.767635
110448242275947.120.7107631.06033
11166195788.295926.420.9766921.14352
11262376232.535869.921.061781.00072
11365206427.565804.831.107281.01438
11470436665.635771.461.154931.05661
11561886639.285849.291.135060.932029
11667746814.95926.791.149850.993998
11761186574.365881.621.117780.930585
11863086670.285810.421.147990.945688
11952305518.985772.790.9560330.947639
12045874492.7157200.7854381.02099
1214976NANA0.696421NA
1224561NANA0.710763NA
1235456NANA0.976692NA
1245691NANA1.06178NA
1256163NANA1.10728NA
1266133NANA1.15493NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4861 & NA & NA & 0.696421 & NA \tabularnewline
2 & 3665 & NA & NA & 0.710763 & NA \tabularnewline
3 & 6683 & NA & NA & 0.976692 & NA \tabularnewline
4 & 6824 & NA & NA & 1.06178 & NA \tabularnewline
5 & 7811 & NA & NA & 1.10728 & NA \tabularnewline
6 & 7242 & NA & NA & 1.15493 & NA \tabularnewline
7 & 7458 & 7257.03 & 6393.54 & 1.13506 & 1.02769 \tabularnewline
8 & 7856 & 7322.66 & 6368.38 & 1.14985 & 1.07283 \tabularnewline
9 & 6477 & 7013.65 & 6274.62 & 1.11778 & 0.923485 \tabularnewline
10 & 7577 & 7000.42 & 6098 & 1.14799 & 1.08236 \tabularnewline
11 & 5999 & 5648.44 & 5908.21 & 0.956033 & 1.06206 \tabularnewline
12 & 4628 & 4494.54 & 5722.33 & 0.785438 & 1.02969 \tabularnewline
13 & 4144 & 3879.47 & 5570.58 & 0.696421 & 1.06819 \tabularnewline
14 & 3778 & 3836.96 & 5398.38 & 0.710763 & 0.984633 \tabularnewline
15 & 4320 & 5157.26 & 5280.33 & 0.976692 & 0.837654 \tabularnewline
16 & 4948 & 5532.25 & 5210.38 & 1.06178 & 0.894392 \tabularnewline
17 & 5132 & 5675.26 & 5125.42 & 1.10728 & 0.904276 \tabularnewline
18 & 5460 & 5868.39 & 5081.17 & 1.15493 & 0.930409 \tabularnewline
19 & 5598 & 5742.68 & 5059.38 & 1.13506 & 0.974807 \tabularnewline
20 & 5583 & 5787.42 & 5033.21 & 1.14985 & 0.964679 \tabularnewline
21 & 5917 & 5646.84 & 5051.83 & 1.11778 & 1.04784 \tabularnewline
22 & 6458 & 5842.87 & 5089.67 & 1.14799 & 1.10528 \tabularnewline
23 & 5079 & 4864.37 & 5088.08 & 0.956033 & 1.04412 \tabularnewline
24 & 4486 & 3963.91 & 5046.75 & 0.785438 & 1.13171 \tabularnewline
25 & 3763 & 3465.13 & 4975.62 & 0.696421 & 1.08596 \tabularnewline
26 & 3531 & 3470.3 & 4882.5 & 0.710763 & 1.01749 \tabularnewline
27 & 5014 & 4649.99 & 4760.96 & 0.976692 & 1.07828 \tabularnewline
28 & 5162 & 4880.98 & 4597 & 1.06178 & 1.05757 \tabularnewline
29 & 4880 & 4908.7 & 4433.12 & 1.10728 & 0.994153 \tabularnewline
30 & 4720 & 4954.98 & 4290.29 & 1.15493 & 0.952576 \tabularnewline
31 & 4631 & 4719.09 & 4157.58 & 1.13506 & 0.981333 \tabularnewline
32 & 4315 & 4674.9 & 4065.67 & 1.14985 & 0.923015 \tabularnewline
33 & 4268 & 4461.94 & 3991.79 & 1.11778 & 0.956534 \tabularnewline
34 & 4172 & 4494.89 & 3915.46 & 1.14799 & 0.928165 \tabularnewline
35 & 3432 & 3696.9 & 3866.92 & 0.956033 & 0.928346 \tabularnewline
36 & 2705 & 3035.91 & 3865.25 & 0.785438 & 0.891 \tabularnewline
37 & 2359 & 2705.97 & 3885.54 & 0.696421 & 0.871775 \tabularnewline
38 & 2729 & 2784.06 & 3917 & 0.710763 & 0.980224 \tabularnewline
39 & 4043 & 3878.69 & 3971.25 & 0.976692 & 1.04236 \tabularnewline
40 & 4301 & 4285.06 & 4035.75 & 1.06178 & 1.00372 \tabularnewline
41 & 4576 & 4556.91 & 4115.42 & 1.10728 & 1.00419 \tabularnewline
42 & 4984 & 4867.16 & 4214.25 & 1.15493 & 1.02401 \tabularnewline
43 & 4854 & 4887.79 & 4306.21 & 1.13506 & 0.993087 \tabularnewline
44 & 4847 & 5015.97 & 4362.29 & 1.14985 & 0.966314 \tabularnewline
45 & 5038 & 4929.87 & 4410.42 & 1.11778 & 1.02193 \tabularnewline
46 & 4950 & 5127.82 & 4466.79 & 1.14799 & 0.965323 \tabularnewline
47 & 4566 & 4337.72 & 4537.21 & 0.956033 & 1.05263 \tabularnewline
48 & 3943 & 3652.29 & 4650 & 0.785438 & 1.0796 \tabularnewline
49 & 3328 & 3313.46 & 4757.83 & 0.696421 & 1.00439 \tabularnewline
50 & 3106 & 3460.11 & 4868.17 & 0.710763 & 0.897659 \tabularnewline
51 & 4821 & 4871.01 & 4987.25 & 0.976692 & 0.989733 \tabularnewline
52 & 4876 & 5388.73 & 5075.21 & 1.06178 & 0.904851 \tabularnewline
53 & 5691 & 5695.47 & 5143.67 & 1.10728 & 0.999216 \tabularnewline
54 & 6576 & 5980.51 & 5178.25 & 1.15493 & 1.09957 \tabularnewline
55 & 5850 & 5921.64 & 5217.04 & 1.13506 & 0.987902 \tabularnewline
56 & 6499 & 6119.73 & 5322.21 & 1.14985 & 1.06198 \tabularnewline
57 & 6244 & 6045.88 & 5408.83 & 1.11778 & 1.03277 \tabularnewline
58 & 5855 & 6279.44 & 5469.96 & 1.14799 & 0.932408 \tabularnewline
59 & 5304 & 5302.79 & 5546.67 & 0.956033 & 1.00023 \tabularnewline
60 & 4035 & 4385.1 & 5583 & 0.785438 & 0.920161 \tabularnewline
61 & 4167 & 3907.48 & 5610.79 & 0.696421 & 1.06642 \tabularnewline
62 & 4791 & 4008.38 & 5639.54 & 0.710763 & 1.19525 \tabularnewline
63 & 5215 & 5529.46 & 5661.42 & 0.976692 & 0.94313 \tabularnewline
64 & 5949 & 6058.58 & 5706.08 & 1.06178 & 0.981913 \tabularnewline
65 & 6459 & 6367.17 & 5750.29 & 1.10728 & 1.01442 \tabularnewline
66 & 6680 & 6693.88 & 5795.92 & 1.15493 & 0.997927 \tabularnewline
67 & 6413 & 6582.29 & 5799.08 & 1.13506 & 0.974281 \tabularnewline
68 & 6626 & 6567.02 & 5711.21 & 1.14985 & 1.00898 \tabularnewline
69 & 6642 & 6331.34 & 5664.21 & 1.11778 & 1.04907 \tabularnewline
70 & 6529 & 6535.3 & 5692.83 & 1.14799 & 0.999037 \tabularnewline
71 & 5691 & 5467.11 & 5718.54 & 0.956033 & 1.04095 \tabularnewline
72 & 4743 & 4490.06 & 5716.62 & 0.785438 & 1.05633 \tabularnewline
73 & 3535 & 3981.38 & 5716.92 & 0.696421 & 0.887882 \tabularnewline
74 & 3314 & 4084.43 & 5746.54 & 0.710763 & 0.811374 \tabularnewline
75 & 5564 & 5625.3 & 5759.54 & 0.976692 & 0.989103 \tabularnewline
76 & 6287 & 6120.78 & 5764.67 & 1.06178 & 1.02716 \tabularnewline
77 & 6738 & 6369.02 & 5751.96 & 1.10728 & 1.05793 \tabularnewline
78 & 6355 & 6598.16 & 5713.04 & 1.15493 & 0.963147 \tabularnewline
79 & 6745 & 6531.59 & 5754.42 & 1.13506 & 1.03267 \tabularnewline
80 & 7005 & 6726.56 & 5849.96 & 1.14985 & 1.04139 \tabularnewline
81 & 6575 & 6579.76 & 5886.46 & 1.11778 & 0.999276 \tabularnewline
82 & 6719 & 6792.83 & 5917.17 & 1.14799 & 0.989132 \tabularnewline
83 & 5196 & 5696.08 & 5958.04 & 0.956033 & 0.912206 \tabularnewline
84 & 4304 & 4711.29 & 5998.29 & 0.785438 & 0.913551 \tabularnewline
85 & 4967 & 4211.46 & 6047.29 & 0.696421 & 1.1794 \tabularnewline
86 & 4175 & 4309.5 & 6063.21 & 0.710763 & 0.968789 \tabularnewline
87 & 5579 & 5930.52 & 6072.04 & 0.976692 & 0.940727 \tabularnewline
88 & 7009 & 6480.55 & 6103.5 & 1.06178 & 1.08154 \tabularnewline
89 & 6997 & 6787.57 & 6129.96 & 1.10728 & 1.03086 \tabularnewline
90 & 7062 & 7106.14 & 6152.88 & 1.15493 & 0.993789 \tabularnewline
91 & 7214 & 6975.63 & 6145.62 & 1.13506 & 1.03417 \tabularnewline
92 & 6918 & 7059.2 & 6139.25 & 1.14985 & 0.979998 \tabularnewline
93 & 6874 & 6898.84 & 6171.92 & 1.11778 & 0.996399 \tabularnewline
94 & 7175 & 7082.55 & 6169.54 & 1.14799 & 1.01305 \tabularnewline
95 & 5375 & 5857.21 & 6126.58 & 0.956033 & 0.917672 \tabularnewline
96 & 4675 & 4782.04 & 6088.38 & 0.785438 & 0.977616 \tabularnewline
97 & 4422 & 4226.38 & 6068.71 & 0.696421 & 1.04629 \tabularnewline
98 & 4567 & 4299.61 & 6049.29 & 0.710763 & 1.06219 \tabularnewline
99 & 5971 & 5891.9 & 6032.5 & 0.976692 & 1.01343 \tabularnewline
100 & 6560 & 6393.35 & 6021.37 & 1.06178 & 1.02607 \tabularnewline
101 & 6415 & 6692.71 & 6044.29 & 1.10728 & 0.958506 \tabularnewline
102 & 6727 & 7008.06 & 6067.96 & 1.15493 & 0.959894 \tabularnewline
103 & 7077 & 6821.17 & 6009.54 & 1.13506 & 1.03751 \tabularnewline
104 & 6589 & 6847.2 & 5954.87 & 1.14985 & 0.962292 \tabularnewline
105 & 6800 & 6682.46 & 5978.33 & 1.11778 & 1.01759 \tabularnewline
106 & 6982 & 6878.59 & 5991.87 & 1.14799 & 1.01503 \tabularnewline
107 & 6118 & 5719.74 & 5982.79 & 0.956033 & 1.06963 \tabularnewline
108 & 4500 & 4712.89 & 6000.33 & 0.785438 & 0.954828 \tabularnewline
109 & 3195 & 4162.13 & 5976.46 & 0.696421 & 0.767635 \tabularnewline
110 & 4482 & 4227 & 5947.12 & 0.710763 & 1.06033 \tabularnewline
111 & 6619 & 5788.29 & 5926.42 & 0.976692 & 1.14352 \tabularnewline
112 & 6237 & 6232.53 & 5869.92 & 1.06178 & 1.00072 \tabularnewline
113 & 6520 & 6427.56 & 5804.83 & 1.10728 & 1.01438 \tabularnewline
114 & 7043 & 6665.63 & 5771.46 & 1.15493 & 1.05661 \tabularnewline
115 & 6188 & 6639.28 & 5849.29 & 1.13506 & 0.932029 \tabularnewline
116 & 6774 & 6814.9 & 5926.79 & 1.14985 & 0.993998 \tabularnewline
117 & 6118 & 6574.36 & 5881.62 & 1.11778 & 0.930585 \tabularnewline
118 & 6308 & 6670.28 & 5810.42 & 1.14799 & 0.945688 \tabularnewline
119 & 5230 & 5518.98 & 5772.79 & 0.956033 & 0.947639 \tabularnewline
120 & 4587 & 4492.71 & 5720 & 0.785438 & 1.02099 \tabularnewline
121 & 4976 & NA & NA & 0.696421 & NA \tabularnewline
122 & 4561 & NA & NA & 0.710763 & NA \tabularnewline
123 & 5456 & NA & NA & 0.976692 & NA \tabularnewline
124 & 5691 & NA & NA & 1.06178 & NA \tabularnewline
125 & 6163 & NA & NA & 1.10728 & NA \tabularnewline
126 & 6133 & NA & NA & 1.15493 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301097&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]4861[/C][C]NA[/C][C]NA[/C][C]0.696421[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3665[/C][C]NA[/C][C]NA[/C][C]0.710763[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6683[/C][C]NA[/C][C]NA[/C][C]0.976692[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6824[/C][C]NA[/C][C]NA[/C][C]1.06178[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7811[/C][C]NA[/C][C]NA[/C][C]1.10728[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7242[/C][C]NA[/C][C]NA[/C][C]1.15493[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]7458[/C][C]7257.03[/C][C]6393.54[/C][C]1.13506[/C][C]1.02769[/C][/ROW]
[ROW][C]8[/C][C]7856[/C][C]7322.66[/C][C]6368.38[/C][C]1.14985[/C][C]1.07283[/C][/ROW]
[ROW][C]9[/C][C]6477[/C][C]7013.65[/C][C]6274.62[/C][C]1.11778[/C][C]0.923485[/C][/ROW]
[ROW][C]10[/C][C]7577[/C][C]7000.42[/C][C]6098[/C][C]1.14799[/C][C]1.08236[/C][/ROW]
[ROW][C]11[/C][C]5999[/C][C]5648.44[/C][C]5908.21[/C][C]0.956033[/C][C]1.06206[/C][/ROW]
[ROW][C]12[/C][C]4628[/C][C]4494.54[/C][C]5722.33[/C][C]0.785438[/C][C]1.02969[/C][/ROW]
[ROW][C]13[/C][C]4144[/C][C]3879.47[/C][C]5570.58[/C][C]0.696421[/C][C]1.06819[/C][/ROW]
[ROW][C]14[/C][C]3778[/C][C]3836.96[/C][C]5398.38[/C][C]0.710763[/C][C]0.984633[/C][/ROW]
[ROW][C]15[/C][C]4320[/C][C]5157.26[/C][C]5280.33[/C][C]0.976692[/C][C]0.837654[/C][/ROW]
[ROW][C]16[/C][C]4948[/C][C]5532.25[/C][C]5210.38[/C][C]1.06178[/C][C]0.894392[/C][/ROW]
[ROW][C]17[/C][C]5132[/C][C]5675.26[/C][C]5125.42[/C][C]1.10728[/C][C]0.904276[/C][/ROW]
[ROW][C]18[/C][C]5460[/C][C]5868.39[/C][C]5081.17[/C][C]1.15493[/C][C]0.930409[/C][/ROW]
[ROW][C]19[/C][C]5598[/C][C]5742.68[/C][C]5059.38[/C][C]1.13506[/C][C]0.974807[/C][/ROW]
[ROW][C]20[/C][C]5583[/C][C]5787.42[/C][C]5033.21[/C][C]1.14985[/C][C]0.964679[/C][/ROW]
[ROW][C]21[/C][C]5917[/C][C]5646.84[/C][C]5051.83[/C][C]1.11778[/C][C]1.04784[/C][/ROW]
[ROW][C]22[/C][C]6458[/C][C]5842.87[/C][C]5089.67[/C][C]1.14799[/C][C]1.10528[/C][/ROW]
[ROW][C]23[/C][C]5079[/C][C]4864.37[/C][C]5088.08[/C][C]0.956033[/C][C]1.04412[/C][/ROW]
[ROW][C]24[/C][C]4486[/C][C]3963.91[/C][C]5046.75[/C][C]0.785438[/C][C]1.13171[/C][/ROW]
[ROW][C]25[/C][C]3763[/C][C]3465.13[/C][C]4975.62[/C][C]0.696421[/C][C]1.08596[/C][/ROW]
[ROW][C]26[/C][C]3531[/C][C]3470.3[/C][C]4882.5[/C][C]0.710763[/C][C]1.01749[/C][/ROW]
[ROW][C]27[/C][C]5014[/C][C]4649.99[/C][C]4760.96[/C][C]0.976692[/C][C]1.07828[/C][/ROW]
[ROW][C]28[/C][C]5162[/C][C]4880.98[/C][C]4597[/C][C]1.06178[/C][C]1.05757[/C][/ROW]
[ROW][C]29[/C][C]4880[/C][C]4908.7[/C][C]4433.12[/C][C]1.10728[/C][C]0.994153[/C][/ROW]
[ROW][C]30[/C][C]4720[/C][C]4954.98[/C][C]4290.29[/C][C]1.15493[/C][C]0.952576[/C][/ROW]
[ROW][C]31[/C][C]4631[/C][C]4719.09[/C][C]4157.58[/C][C]1.13506[/C][C]0.981333[/C][/ROW]
[ROW][C]32[/C][C]4315[/C][C]4674.9[/C][C]4065.67[/C][C]1.14985[/C][C]0.923015[/C][/ROW]
[ROW][C]33[/C][C]4268[/C][C]4461.94[/C][C]3991.79[/C][C]1.11778[/C][C]0.956534[/C][/ROW]
[ROW][C]34[/C][C]4172[/C][C]4494.89[/C][C]3915.46[/C][C]1.14799[/C][C]0.928165[/C][/ROW]
[ROW][C]35[/C][C]3432[/C][C]3696.9[/C][C]3866.92[/C][C]0.956033[/C][C]0.928346[/C][/ROW]
[ROW][C]36[/C][C]2705[/C][C]3035.91[/C][C]3865.25[/C][C]0.785438[/C][C]0.891[/C][/ROW]
[ROW][C]37[/C][C]2359[/C][C]2705.97[/C][C]3885.54[/C][C]0.696421[/C][C]0.871775[/C][/ROW]
[ROW][C]38[/C][C]2729[/C][C]2784.06[/C][C]3917[/C][C]0.710763[/C][C]0.980224[/C][/ROW]
[ROW][C]39[/C][C]4043[/C][C]3878.69[/C][C]3971.25[/C][C]0.976692[/C][C]1.04236[/C][/ROW]
[ROW][C]40[/C][C]4301[/C][C]4285.06[/C][C]4035.75[/C][C]1.06178[/C][C]1.00372[/C][/ROW]
[ROW][C]41[/C][C]4576[/C][C]4556.91[/C][C]4115.42[/C][C]1.10728[/C][C]1.00419[/C][/ROW]
[ROW][C]42[/C][C]4984[/C][C]4867.16[/C][C]4214.25[/C][C]1.15493[/C][C]1.02401[/C][/ROW]
[ROW][C]43[/C][C]4854[/C][C]4887.79[/C][C]4306.21[/C][C]1.13506[/C][C]0.993087[/C][/ROW]
[ROW][C]44[/C][C]4847[/C][C]5015.97[/C][C]4362.29[/C][C]1.14985[/C][C]0.966314[/C][/ROW]
[ROW][C]45[/C][C]5038[/C][C]4929.87[/C][C]4410.42[/C][C]1.11778[/C][C]1.02193[/C][/ROW]
[ROW][C]46[/C][C]4950[/C][C]5127.82[/C][C]4466.79[/C][C]1.14799[/C][C]0.965323[/C][/ROW]
[ROW][C]47[/C][C]4566[/C][C]4337.72[/C][C]4537.21[/C][C]0.956033[/C][C]1.05263[/C][/ROW]
[ROW][C]48[/C][C]3943[/C][C]3652.29[/C][C]4650[/C][C]0.785438[/C][C]1.0796[/C][/ROW]
[ROW][C]49[/C][C]3328[/C][C]3313.46[/C][C]4757.83[/C][C]0.696421[/C][C]1.00439[/C][/ROW]
[ROW][C]50[/C][C]3106[/C][C]3460.11[/C][C]4868.17[/C][C]0.710763[/C][C]0.897659[/C][/ROW]
[ROW][C]51[/C][C]4821[/C][C]4871.01[/C][C]4987.25[/C][C]0.976692[/C][C]0.989733[/C][/ROW]
[ROW][C]52[/C][C]4876[/C][C]5388.73[/C][C]5075.21[/C][C]1.06178[/C][C]0.904851[/C][/ROW]
[ROW][C]53[/C][C]5691[/C][C]5695.47[/C][C]5143.67[/C][C]1.10728[/C][C]0.999216[/C][/ROW]
[ROW][C]54[/C][C]6576[/C][C]5980.51[/C][C]5178.25[/C][C]1.15493[/C][C]1.09957[/C][/ROW]
[ROW][C]55[/C][C]5850[/C][C]5921.64[/C][C]5217.04[/C][C]1.13506[/C][C]0.987902[/C][/ROW]
[ROW][C]56[/C][C]6499[/C][C]6119.73[/C][C]5322.21[/C][C]1.14985[/C][C]1.06198[/C][/ROW]
[ROW][C]57[/C][C]6244[/C][C]6045.88[/C][C]5408.83[/C][C]1.11778[/C][C]1.03277[/C][/ROW]
[ROW][C]58[/C][C]5855[/C][C]6279.44[/C][C]5469.96[/C][C]1.14799[/C][C]0.932408[/C][/ROW]
[ROW][C]59[/C][C]5304[/C][C]5302.79[/C][C]5546.67[/C][C]0.956033[/C][C]1.00023[/C][/ROW]
[ROW][C]60[/C][C]4035[/C][C]4385.1[/C][C]5583[/C][C]0.785438[/C][C]0.920161[/C][/ROW]
[ROW][C]61[/C][C]4167[/C][C]3907.48[/C][C]5610.79[/C][C]0.696421[/C][C]1.06642[/C][/ROW]
[ROW][C]62[/C][C]4791[/C][C]4008.38[/C][C]5639.54[/C][C]0.710763[/C][C]1.19525[/C][/ROW]
[ROW][C]63[/C][C]5215[/C][C]5529.46[/C][C]5661.42[/C][C]0.976692[/C][C]0.94313[/C][/ROW]
[ROW][C]64[/C][C]5949[/C][C]6058.58[/C][C]5706.08[/C][C]1.06178[/C][C]0.981913[/C][/ROW]
[ROW][C]65[/C][C]6459[/C][C]6367.17[/C][C]5750.29[/C][C]1.10728[/C][C]1.01442[/C][/ROW]
[ROW][C]66[/C][C]6680[/C][C]6693.88[/C][C]5795.92[/C][C]1.15493[/C][C]0.997927[/C][/ROW]
[ROW][C]67[/C][C]6413[/C][C]6582.29[/C][C]5799.08[/C][C]1.13506[/C][C]0.974281[/C][/ROW]
[ROW][C]68[/C][C]6626[/C][C]6567.02[/C][C]5711.21[/C][C]1.14985[/C][C]1.00898[/C][/ROW]
[ROW][C]69[/C][C]6642[/C][C]6331.34[/C][C]5664.21[/C][C]1.11778[/C][C]1.04907[/C][/ROW]
[ROW][C]70[/C][C]6529[/C][C]6535.3[/C][C]5692.83[/C][C]1.14799[/C][C]0.999037[/C][/ROW]
[ROW][C]71[/C][C]5691[/C][C]5467.11[/C][C]5718.54[/C][C]0.956033[/C][C]1.04095[/C][/ROW]
[ROW][C]72[/C][C]4743[/C][C]4490.06[/C][C]5716.62[/C][C]0.785438[/C][C]1.05633[/C][/ROW]
[ROW][C]73[/C][C]3535[/C][C]3981.38[/C][C]5716.92[/C][C]0.696421[/C][C]0.887882[/C][/ROW]
[ROW][C]74[/C][C]3314[/C][C]4084.43[/C][C]5746.54[/C][C]0.710763[/C][C]0.811374[/C][/ROW]
[ROW][C]75[/C][C]5564[/C][C]5625.3[/C][C]5759.54[/C][C]0.976692[/C][C]0.989103[/C][/ROW]
[ROW][C]76[/C][C]6287[/C][C]6120.78[/C][C]5764.67[/C][C]1.06178[/C][C]1.02716[/C][/ROW]
[ROW][C]77[/C][C]6738[/C][C]6369.02[/C][C]5751.96[/C][C]1.10728[/C][C]1.05793[/C][/ROW]
[ROW][C]78[/C][C]6355[/C][C]6598.16[/C][C]5713.04[/C][C]1.15493[/C][C]0.963147[/C][/ROW]
[ROW][C]79[/C][C]6745[/C][C]6531.59[/C][C]5754.42[/C][C]1.13506[/C][C]1.03267[/C][/ROW]
[ROW][C]80[/C][C]7005[/C][C]6726.56[/C][C]5849.96[/C][C]1.14985[/C][C]1.04139[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]6579.76[/C][C]5886.46[/C][C]1.11778[/C][C]0.999276[/C][/ROW]
[ROW][C]82[/C][C]6719[/C][C]6792.83[/C][C]5917.17[/C][C]1.14799[/C][C]0.989132[/C][/ROW]
[ROW][C]83[/C][C]5196[/C][C]5696.08[/C][C]5958.04[/C][C]0.956033[/C][C]0.912206[/C][/ROW]
[ROW][C]84[/C][C]4304[/C][C]4711.29[/C][C]5998.29[/C][C]0.785438[/C][C]0.913551[/C][/ROW]
[ROW][C]85[/C][C]4967[/C][C]4211.46[/C][C]6047.29[/C][C]0.696421[/C][C]1.1794[/C][/ROW]
[ROW][C]86[/C][C]4175[/C][C]4309.5[/C][C]6063.21[/C][C]0.710763[/C][C]0.968789[/C][/ROW]
[ROW][C]87[/C][C]5579[/C][C]5930.52[/C][C]6072.04[/C][C]0.976692[/C][C]0.940727[/C][/ROW]
[ROW][C]88[/C][C]7009[/C][C]6480.55[/C][C]6103.5[/C][C]1.06178[/C][C]1.08154[/C][/ROW]
[ROW][C]89[/C][C]6997[/C][C]6787.57[/C][C]6129.96[/C][C]1.10728[/C][C]1.03086[/C][/ROW]
[ROW][C]90[/C][C]7062[/C][C]7106.14[/C][C]6152.88[/C][C]1.15493[/C][C]0.993789[/C][/ROW]
[ROW][C]91[/C][C]7214[/C][C]6975.63[/C][C]6145.62[/C][C]1.13506[/C][C]1.03417[/C][/ROW]
[ROW][C]92[/C][C]6918[/C][C]7059.2[/C][C]6139.25[/C][C]1.14985[/C][C]0.979998[/C][/ROW]
[ROW][C]93[/C][C]6874[/C][C]6898.84[/C][C]6171.92[/C][C]1.11778[/C][C]0.996399[/C][/ROW]
[ROW][C]94[/C][C]7175[/C][C]7082.55[/C][C]6169.54[/C][C]1.14799[/C][C]1.01305[/C][/ROW]
[ROW][C]95[/C][C]5375[/C][C]5857.21[/C][C]6126.58[/C][C]0.956033[/C][C]0.917672[/C][/ROW]
[ROW][C]96[/C][C]4675[/C][C]4782.04[/C][C]6088.38[/C][C]0.785438[/C][C]0.977616[/C][/ROW]
[ROW][C]97[/C][C]4422[/C][C]4226.38[/C][C]6068.71[/C][C]0.696421[/C][C]1.04629[/C][/ROW]
[ROW][C]98[/C][C]4567[/C][C]4299.61[/C][C]6049.29[/C][C]0.710763[/C][C]1.06219[/C][/ROW]
[ROW][C]99[/C][C]5971[/C][C]5891.9[/C][C]6032.5[/C][C]0.976692[/C][C]1.01343[/C][/ROW]
[ROW][C]100[/C][C]6560[/C][C]6393.35[/C][C]6021.37[/C][C]1.06178[/C][C]1.02607[/C][/ROW]
[ROW][C]101[/C][C]6415[/C][C]6692.71[/C][C]6044.29[/C][C]1.10728[/C][C]0.958506[/C][/ROW]
[ROW][C]102[/C][C]6727[/C][C]7008.06[/C][C]6067.96[/C][C]1.15493[/C][C]0.959894[/C][/ROW]
[ROW][C]103[/C][C]7077[/C][C]6821.17[/C][C]6009.54[/C][C]1.13506[/C][C]1.03751[/C][/ROW]
[ROW][C]104[/C][C]6589[/C][C]6847.2[/C][C]5954.87[/C][C]1.14985[/C][C]0.962292[/C][/ROW]
[ROW][C]105[/C][C]6800[/C][C]6682.46[/C][C]5978.33[/C][C]1.11778[/C][C]1.01759[/C][/ROW]
[ROW][C]106[/C][C]6982[/C][C]6878.59[/C][C]5991.87[/C][C]1.14799[/C][C]1.01503[/C][/ROW]
[ROW][C]107[/C][C]6118[/C][C]5719.74[/C][C]5982.79[/C][C]0.956033[/C][C]1.06963[/C][/ROW]
[ROW][C]108[/C][C]4500[/C][C]4712.89[/C][C]6000.33[/C][C]0.785438[/C][C]0.954828[/C][/ROW]
[ROW][C]109[/C][C]3195[/C][C]4162.13[/C][C]5976.46[/C][C]0.696421[/C][C]0.767635[/C][/ROW]
[ROW][C]110[/C][C]4482[/C][C]4227[/C][C]5947.12[/C][C]0.710763[/C][C]1.06033[/C][/ROW]
[ROW][C]111[/C][C]6619[/C][C]5788.29[/C][C]5926.42[/C][C]0.976692[/C][C]1.14352[/C][/ROW]
[ROW][C]112[/C][C]6237[/C][C]6232.53[/C][C]5869.92[/C][C]1.06178[/C][C]1.00072[/C][/ROW]
[ROW][C]113[/C][C]6520[/C][C]6427.56[/C][C]5804.83[/C][C]1.10728[/C][C]1.01438[/C][/ROW]
[ROW][C]114[/C][C]7043[/C][C]6665.63[/C][C]5771.46[/C][C]1.15493[/C][C]1.05661[/C][/ROW]
[ROW][C]115[/C][C]6188[/C][C]6639.28[/C][C]5849.29[/C][C]1.13506[/C][C]0.932029[/C][/ROW]
[ROW][C]116[/C][C]6774[/C][C]6814.9[/C][C]5926.79[/C][C]1.14985[/C][C]0.993998[/C][/ROW]
[ROW][C]117[/C][C]6118[/C][C]6574.36[/C][C]5881.62[/C][C]1.11778[/C][C]0.930585[/C][/ROW]
[ROW][C]118[/C][C]6308[/C][C]6670.28[/C][C]5810.42[/C][C]1.14799[/C][C]0.945688[/C][/ROW]
[ROW][C]119[/C][C]5230[/C][C]5518.98[/C][C]5772.79[/C][C]0.956033[/C][C]0.947639[/C][/ROW]
[ROW][C]120[/C][C]4587[/C][C]4492.71[/C][C]5720[/C][C]0.785438[/C][C]1.02099[/C][/ROW]
[ROW][C]121[/C][C]4976[/C][C]NA[/C][C]NA[/C][C]0.696421[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]4561[/C][C]NA[/C][C]NA[/C][C]0.710763[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]5456[/C][C]NA[/C][C]NA[/C][C]0.976692[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]5691[/C][C]NA[/C][C]NA[/C][C]1.06178[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]6163[/C][C]NA[/C][C]NA[/C][C]1.10728[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]6133[/C][C]NA[/C][C]NA[/C][C]1.15493[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301097&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
14861NANA0.696421NA
23665NANA0.710763NA
36683NANA0.976692NA
46824NANA1.06178NA
57811NANA1.10728NA
67242NANA1.15493NA
774587257.036393.541.135061.02769
878567322.666368.381.149851.07283
964777013.656274.621.117780.923485
1075777000.4260981.147991.08236
1159995648.445908.210.9560331.06206
1246284494.545722.330.7854381.02969
1341443879.475570.580.6964211.06819
1437783836.965398.380.7107630.984633
1543205157.265280.330.9766920.837654
1649485532.255210.381.061780.894392
1751325675.265125.421.107280.904276
1854605868.395081.171.154930.930409
1955985742.685059.381.135060.974807
2055835787.425033.211.149850.964679
2159175646.845051.831.117781.04784
2264585842.875089.671.147991.10528
2350794864.375088.080.9560331.04412
2444863963.915046.750.7854381.13171
2537633465.134975.620.6964211.08596
2635313470.34882.50.7107631.01749
2750144649.994760.960.9766921.07828
2851624880.9845971.061781.05757
2948804908.74433.121.107280.994153
3047204954.984290.291.154930.952576
3146314719.094157.581.135060.981333
3243154674.94065.671.149850.923015
3342684461.943991.791.117780.956534
3441724494.893915.461.147990.928165
3534323696.93866.920.9560330.928346
3627053035.913865.250.7854380.891
3723592705.973885.540.6964210.871775
3827292784.0639170.7107630.980224
3940433878.693971.250.9766921.04236
4043014285.064035.751.061781.00372
4145764556.914115.421.107281.00419
4249844867.164214.251.154931.02401
4348544887.794306.211.135060.993087
4448475015.974362.291.149850.966314
4550384929.874410.421.117781.02193
4649505127.824466.791.147990.965323
4745664337.724537.210.9560331.05263
4839433652.2946500.7854381.0796
4933283313.464757.830.6964211.00439
5031063460.114868.170.7107630.897659
5148214871.014987.250.9766920.989733
5248765388.735075.211.061780.904851
5356915695.475143.671.107280.999216
5465765980.515178.251.154931.09957
5558505921.645217.041.135060.987902
5664996119.735322.211.149851.06198
5762446045.885408.831.117781.03277
5858556279.445469.961.147990.932408
5953045302.795546.670.9560331.00023
6040354385.155830.7854380.920161
6141673907.485610.790.6964211.06642
6247914008.385639.540.7107631.19525
6352155529.465661.420.9766920.94313
6459496058.585706.081.061780.981913
6564596367.175750.291.107281.01442
6666806693.885795.921.154930.997927
6764136582.295799.081.135060.974281
6866266567.025711.211.149851.00898
6966426331.345664.211.117781.04907
7065296535.35692.831.147990.999037
7156915467.115718.540.9560331.04095
7247434490.065716.620.7854381.05633
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1224561NANA0.710763NA
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1266133NANA1.15493NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')