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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 computationFri, 09 Dec 2016 14:31:54 +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/09/t1481290471a9n5c3s0oasgpa3.htm/, Retrieved Fri, 17 May 2024 13:43:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298537, Retrieved Fri, 17 May 2024 13:43:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-09 13:31:54] [73c8181f60882f9827d3eab75df83592] [Current]
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Dataseries X:
3657.75
3660.6
3690.3
3710.4
3759.05
3795
3816.65
3853.85
3873.15
3873.9
3921.2
3948.85
4039.3
4094.5
4152.4
4195.25
4249.9
4268.75
4297.8
4342.65
4342.8
4367
4398.9
4436.9
4450.6
4483.5
4458.4
4478.95
4502.05
4504.1
4557.7
4563.8
4603.35
4643.2
4664.3
4678.3
4714.95
4727.35
4712.9
4731.45
4744.2
4722
4710.2
4723.6
4801.65
4857.65
4833.85
4826.35
4830.4
4847.1
4896.55
4946.55
4941.1
4995.25
5038.4
5040.25
5047
5058.85
5050.3
5117.75
5116.45
5162.5
5207.65
5213.8
5199.75
5250.15
5254.65
5311.35
5321.4
5309.45
5310.95
5344.55
5356.6
5435.8
5477.1
5519.1
5613.05
5649.5
5665.55
5699.15
5730.75
5764.95
5803.6
5822.2
5856.8
5841.75
5866.85
5895
5940.6
5914.4
5938.9
5958.5
5948.15
5977.6
5992.25
5972.55
6025.4
6027.4
5998.45
5989.75
6017.8
6034.1
6034.05
6073.45
6109.55
6163.85
6188.25
6265.15
6252.25
6260.25
6246.15
6296.25
6284.4
6336.2
6405.05




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298537&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298537&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298537&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13657.75NANA0.951726NA
23660.6NANA3.28795NA
33690.3NANA-1.12038NA
43710.4NANA0.24863NA
53759.05NANA6.33926NA
63795NANA-1.30736NA
73816.653808.513812.62-4.11178.13878
83853.853846.523846.6-0.08091247.33091
93873.153883.453883.93-0.482301-10.301
103873.93925.623923.392.2302-51.7198
113921.23958.963964.04-5.08276-37.761
123948.854003.364004.24-0.872348-54.5131
134039.34044.974044.020.951726-5.67464
144094.54087.734084.443.287956.77455
154152.44123.254124.37-1.1203829.1475
164195.254164.744164.490.2486330.5139
174249.94211.284204.946.3392638.6232
184268.754243.874245.18-1.3073624.8803
194297.84278.544282.65-4.111719.2617
204342.654315.914316-0.080912426.7351
214342.84344.474344.95-0.482301-1.67187
2243674371.764369.522.2302-4.7552
234398.94386.774391.85-5.0827612.1307
244436.94411.294412.16-0.87234825.6078
254450.64433.754432.80.95172616.8483
264483.54456.134452.843.2879527.3683
274458.44471.794472.91-1.12038-13.3942
284478.954495.534495.280.24863-16.5778
294502.054524.194517.856.33926-22.1351
304504.14537.664538.96-1.30736-33.5551
314557.74555.924560.04-4.11171.77628
324563.84581.134581.21-0.0809124-17.3295
334603.354601.494601.97-0.4823011.8573
344643.24625.334623.12.230217.8698
354664.34638.634643.71-5.0827625.6723
364678.34662.014662.88-0.87234816.2932
374714.954679.264678.310.95172635.6858
384727.354694.614691.323.2879532.737
394712.94705.134706.25-1.120387.77455
404731.454723.694723.440.248637.75762
414744.24745.784739.446.33926-1.58301
4247224751.374752.68-1.30736-29.3697
434710.24759.544763.66-4.1117-49.3446
444723.64773.384773.46-0.0809124-49.7753
454801.654785.624786.1-0.48230116.0344
464857.654804.944802.712.230252.7073
474833.854814.84819.88-5.0827619.0536
484826.354838.64839.47-0.872348-12.2464
494830.44865.484864.530.951726-35.0809
504847.14894.694891.43.28795-47.5859
514896.554913.694914.81-1.12038-17.1442
524946.554933.674933.420.2486312.8805
534941.14957.164950.826.33926-16.0622
544995.254970.684971.98-1.3073624.574
555038.44991.934996.04-4.111746.4679
565040.255021.025021.1-0.080912419.2267
5750475046.735047.21-0.4823010.273968
585058.855073.545071.312.2302-14.6864
595050.35088.145093.22-5.08276-37.836
605117.755113.745114.62-0.8723484.00568
615116.455135.25134.250.951726-18.7496
625162.55157.845154.553.287954.65788
635207.655176.165177.28-1.1203831.487
645213.85199.415199.160.2486314.393
655199.755226.85220.466.33926-27.0497
665250.155239.465240.77-1.3073610.6865
675254.655256.125260.23-4.1117-1.46538
685311.355281.545281.62-0.080912429.8101
695321.45303.755304.24-0.48230117.6469
705309.455330.415328.182.2302-20.9635
715310.955353.045358.12-5.08276-42.0922
725344.555391.115391.99-0.872348-46.5631
735356.65426.75425.750.951726-70.0976
745435.85462.315459.023.28795-26.513
755477.15491.125492.24-1.12038-14.0192
765519.15528.525528.280.24863-9.42363
775613.055574.125567.786.3392638.9295
785649.55606.95608.21-1.3073642.5969
795665.555644.845648.95-4.111720.7075
805699.155686.635686.71-0.080912412.5205
815730.755719.385719.86-0.48230111.3677
825764.9557545751.772.230210.9531
835803.65775.995781.08-5.0827627.6057
845822.25804.895805.76-0.87234817.3098
855856.85829.145828.190.95172627.6587
865841.755853.675850.393.28795-11.9234
875866.855869.135870.25-1.12038-2.27962
8858955888.425888.170.248636.58262
895940.65911.235904.896.3392629.3712
905914.45917.715919.01-1.30736-3.30722
915938.95928.195932.3-4.111710.7075
925958.55946.985947.06-0.080912411.5163
935948.155959.85960.28-0.482301-11.651
945977.65971.945969.712.23025.65522
955992.255971.85976.88-5.0827620.4536
965972.555984.215985.08-0.872348-11.661
976025.45994.995994.040.95172630.4129
986027.46006.086002.793.2879521.3225
995998.456013.186014.3-1.12038-14.7338
1005989.756029.046028.790.24863-39.2882
1016017.86051.066044.726.33926-33.2559
1026034.16063.776065.08-1.30736-29.6676
1036034.056082.616086.72-4.1117-48.5571
1046073.456105.796105.87-0.0809124-32.342
1056109.556125.416125.9-0.482301-15.8635
1066163.856151.226148.992.230212.6323
1076188.256167.786172.87-5.0827620.4661
1086265.156195.696196.56-0.87234869.4598
1096252.256225.566224.610.95172626.6899
1106260.25NANA3.28795NA
1116246.15NANA-1.12038NA
1126296.25NANA0.24863NA
1136284.4NANA6.33926NA
1146336.2NANA-1.30736NA
1156405.05NANA-4.1117NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3657.75 & NA & NA & 0.951726 & NA \tabularnewline
2 & 3660.6 & NA & NA & 3.28795 & NA \tabularnewline
3 & 3690.3 & NA & NA & -1.12038 & NA \tabularnewline
4 & 3710.4 & NA & NA & 0.24863 & NA \tabularnewline
5 & 3759.05 & NA & NA & 6.33926 & NA \tabularnewline
6 & 3795 & NA & NA & -1.30736 & NA \tabularnewline
7 & 3816.65 & 3808.51 & 3812.62 & -4.1117 & 8.13878 \tabularnewline
8 & 3853.85 & 3846.52 & 3846.6 & -0.0809124 & 7.33091 \tabularnewline
9 & 3873.15 & 3883.45 & 3883.93 & -0.482301 & -10.301 \tabularnewline
10 & 3873.9 & 3925.62 & 3923.39 & 2.2302 & -51.7198 \tabularnewline
11 & 3921.2 & 3958.96 & 3964.04 & -5.08276 & -37.761 \tabularnewline
12 & 3948.85 & 4003.36 & 4004.24 & -0.872348 & -54.5131 \tabularnewline
13 & 4039.3 & 4044.97 & 4044.02 & 0.951726 & -5.67464 \tabularnewline
14 & 4094.5 & 4087.73 & 4084.44 & 3.28795 & 6.77455 \tabularnewline
15 & 4152.4 & 4123.25 & 4124.37 & -1.12038 & 29.1475 \tabularnewline
16 & 4195.25 & 4164.74 & 4164.49 & 0.24863 & 30.5139 \tabularnewline
17 & 4249.9 & 4211.28 & 4204.94 & 6.33926 & 38.6232 \tabularnewline
18 & 4268.75 & 4243.87 & 4245.18 & -1.30736 & 24.8803 \tabularnewline
19 & 4297.8 & 4278.54 & 4282.65 & -4.1117 & 19.2617 \tabularnewline
20 & 4342.65 & 4315.91 & 4316 & -0.0809124 & 26.7351 \tabularnewline
21 & 4342.8 & 4344.47 & 4344.95 & -0.482301 & -1.67187 \tabularnewline
22 & 4367 & 4371.76 & 4369.52 & 2.2302 & -4.7552 \tabularnewline
23 & 4398.9 & 4386.77 & 4391.85 & -5.08276 & 12.1307 \tabularnewline
24 & 4436.9 & 4411.29 & 4412.16 & -0.872348 & 25.6078 \tabularnewline
25 & 4450.6 & 4433.75 & 4432.8 & 0.951726 & 16.8483 \tabularnewline
26 & 4483.5 & 4456.13 & 4452.84 & 3.28795 & 27.3683 \tabularnewline
27 & 4458.4 & 4471.79 & 4472.91 & -1.12038 & -13.3942 \tabularnewline
28 & 4478.95 & 4495.53 & 4495.28 & 0.24863 & -16.5778 \tabularnewline
29 & 4502.05 & 4524.19 & 4517.85 & 6.33926 & -22.1351 \tabularnewline
30 & 4504.1 & 4537.66 & 4538.96 & -1.30736 & -33.5551 \tabularnewline
31 & 4557.7 & 4555.92 & 4560.04 & -4.1117 & 1.77628 \tabularnewline
32 & 4563.8 & 4581.13 & 4581.21 & -0.0809124 & -17.3295 \tabularnewline
33 & 4603.35 & 4601.49 & 4601.97 & -0.482301 & 1.8573 \tabularnewline
34 & 4643.2 & 4625.33 & 4623.1 & 2.2302 & 17.8698 \tabularnewline
35 & 4664.3 & 4638.63 & 4643.71 & -5.08276 & 25.6723 \tabularnewline
36 & 4678.3 & 4662.01 & 4662.88 & -0.872348 & 16.2932 \tabularnewline
37 & 4714.95 & 4679.26 & 4678.31 & 0.951726 & 35.6858 \tabularnewline
38 & 4727.35 & 4694.61 & 4691.32 & 3.28795 & 32.737 \tabularnewline
39 & 4712.9 & 4705.13 & 4706.25 & -1.12038 & 7.77455 \tabularnewline
40 & 4731.45 & 4723.69 & 4723.44 & 0.24863 & 7.75762 \tabularnewline
41 & 4744.2 & 4745.78 & 4739.44 & 6.33926 & -1.58301 \tabularnewline
42 & 4722 & 4751.37 & 4752.68 & -1.30736 & -29.3697 \tabularnewline
43 & 4710.2 & 4759.54 & 4763.66 & -4.1117 & -49.3446 \tabularnewline
44 & 4723.6 & 4773.38 & 4773.46 & -0.0809124 & -49.7753 \tabularnewline
45 & 4801.65 & 4785.62 & 4786.1 & -0.482301 & 16.0344 \tabularnewline
46 & 4857.65 & 4804.94 & 4802.71 & 2.2302 & 52.7073 \tabularnewline
47 & 4833.85 & 4814.8 & 4819.88 & -5.08276 & 19.0536 \tabularnewline
48 & 4826.35 & 4838.6 & 4839.47 & -0.872348 & -12.2464 \tabularnewline
49 & 4830.4 & 4865.48 & 4864.53 & 0.951726 & -35.0809 \tabularnewline
50 & 4847.1 & 4894.69 & 4891.4 & 3.28795 & -47.5859 \tabularnewline
51 & 4896.55 & 4913.69 & 4914.81 & -1.12038 & -17.1442 \tabularnewline
52 & 4946.55 & 4933.67 & 4933.42 & 0.24863 & 12.8805 \tabularnewline
53 & 4941.1 & 4957.16 & 4950.82 & 6.33926 & -16.0622 \tabularnewline
54 & 4995.25 & 4970.68 & 4971.98 & -1.30736 & 24.574 \tabularnewline
55 & 5038.4 & 4991.93 & 4996.04 & -4.1117 & 46.4679 \tabularnewline
56 & 5040.25 & 5021.02 & 5021.1 & -0.0809124 & 19.2267 \tabularnewline
57 & 5047 & 5046.73 & 5047.21 & -0.482301 & 0.273968 \tabularnewline
58 & 5058.85 & 5073.54 & 5071.31 & 2.2302 & -14.6864 \tabularnewline
59 & 5050.3 & 5088.14 & 5093.22 & -5.08276 & -37.836 \tabularnewline
60 & 5117.75 & 5113.74 & 5114.62 & -0.872348 & 4.00568 \tabularnewline
61 & 5116.45 & 5135.2 & 5134.25 & 0.951726 & -18.7496 \tabularnewline
62 & 5162.5 & 5157.84 & 5154.55 & 3.28795 & 4.65788 \tabularnewline
63 & 5207.65 & 5176.16 & 5177.28 & -1.12038 & 31.487 \tabularnewline
64 & 5213.8 & 5199.41 & 5199.16 & 0.24863 & 14.393 \tabularnewline
65 & 5199.75 & 5226.8 & 5220.46 & 6.33926 & -27.0497 \tabularnewline
66 & 5250.15 & 5239.46 & 5240.77 & -1.30736 & 10.6865 \tabularnewline
67 & 5254.65 & 5256.12 & 5260.23 & -4.1117 & -1.46538 \tabularnewline
68 & 5311.35 & 5281.54 & 5281.62 & -0.0809124 & 29.8101 \tabularnewline
69 & 5321.4 & 5303.75 & 5304.24 & -0.482301 & 17.6469 \tabularnewline
70 & 5309.45 & 5330.41 & 5328.18 & 2.2302 & -20.9635 \tabularnewline
71 & 5310.95 & 5353.04 & 5358.12 & -5.08276 & -42.0922 \tabularnewline
72 & 5344.55 & 5391.11 & 5391.99 & -0.872348 & -46.5631 \tabularnewline
73 & 5356.6 & 5426.7 & 5425.75 & 0.951726 & -70.0976 \tabularnewline
74 & 5435.8 & 5462.31 & 5459.02 & 3.28795 & -26.513 \tabularnewline
75 & 5477.1 & 5491.12 & 5492.24 & -1.12038 & -14.0192 \tabularnewline
76 & 5519.1 & 5528.52 & 5528.28 & 0.24863 & -9.42363 \tabularnewline
77 & 5613.05 & 5574.12 & 5567.78 & 6.33926 & 38.9295 \tabularnewline
78 & 5649.5 & 5606.9 & 5608.21 & -1.30736 & 42.5969 \tabularnewline
79 & 5665.55 & 5644.84 & 5648.95 & -4.1117 & 20.7075 \tabularnewline
80 & 5699.15 & 5686.63 & 5686.71 & -0.0809124 & 12.5205 \tabularnewline
81 & 5730.75 & 5719.38 & 5719.86 & -0.482301 & 11.3677 \tabularnewline
82 & 5764.95 & 5754 & 5751.77 & 2.2302 & 10.9531 \tabularnewline
83 & 5803.6 & 5775.99 & 5781.08 & -5.08276 & 27.6057 \tabularnewline
84 & 5822.2 & 5804.89 & 5805.76 & -0.872348 & 17.3098 \tabularnewline
85 & 5856.8 & 5829.14 & 5828.19 & 0.951726 & 27.6587 \tabularnewline
86 & 5841.75 & 5853.67 & 5850.39 & 3.28795 & -11.9234 \tabularnewline
87 & 5866.85 & 5869.13 & 5870.25 & -1.12038 & -2.27962 \tabularnewline
88 & 5895 & 5888.42 & 5888.17 & 0.24863 & 6.58262 \tabularnewline
89 & 5940.6 & 5911.23 & 5904.89 & 6.33926 & 29.3712 \tabularnewline
90 & 5914.4 & 5917.71 & 5919.01 & -1.30736 & -3.30722 \tabularnewline
91 & 5938.9 & 5928.19 & 5932.3 & -4.1117 & 10.7075 \tabularnewline
92 & 5958.5 & 5946.98 & 5947.06 & -0.0809124 & 11.5163 \tabularnewline
93 & 5948.15 & 5959.8 & 5960.28 & -0.482301 & -11.651 \tabularnewline
94 & 5977.6 & 5971.94 & 5969.71 & 2.2302 & 5.65522 \tabularnewline
95 & 5992.25 & 5971.8 & 5976.88 & -5.08276 & 20.4536 \tabularnewline
96 & 5972.55 & 5984.21 & 5985.08 & -0.872348 & -11.661 \tabularnewline
97 & 6025.4 & 5994.99 & 5994.04 & 0.951726 & 30.4129 \tabularnewline
98 & 6027.4 & 6006.08 & 6002.79 & 3.28795 & 21.3225 \tabularnewline
99 & 5998.45 & 6013.18 & 6014.3 & -1.12038 & -14.7338 \tabularnewline
100 & 5989.75 & 6029.04 & 6028.79 & 0.24863 & -39.2882 \tabularnewline
101 & 6017.8 & 6051.06 & 6044.72 & 6.33926 & -33.2559 \tabularnewline
102 & 6034.1 & 6063.77 & 6065.08 & -1.30736 & -29.6676 \tabularnewline
103 & 6034.05 & 6082.61 & 6086.72 & -4.1117 & -48.5571 \tabularnewline
104 & 6073.45 & 6105.79 & 6105.87 & -0.0809124 & -32.342 \tabularnewline
105 & 6109.55 & 6125.41 & 6125.9 & -0.482301 & -15.8635 \tabularnewline
106 & 6163.85 & 6151.22 & 6148.99 & 2.2302 & 12.6323 \tabularnewline
107 & 6188.25 & 6167.78 & 6172.87 & -5.08276 & 20.4661 \tabularnewline
108 & 6265.15 & 6195.69 & 6196.56 & -0.872348 & 69.4598 \tabularnewline
109 & 6252.25 & 6225.56 & 6224.61 & 0.951726 & 26.6899 \tabularnewline
110 & 6260.25 & NA & NA & 3.28795 & NA \tabularnewline
111 & 6246.15 & NA & NA & -1.12038 & NA \tabularnewline
112 & 6296.25 & NA & NA & 0.24863 & NA \tabularnewline
113 & 6284.4 & NA & NA & 6.33926 & NA \tabularnewline
114 & 6336.2 & NA & NA & -1.30736 & NA \tabularnewline
115 & 6405.05 & NA & NA & -4.1117 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298537&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]3657.75[/C][C]NA[/C][C]NA[/C][C]0.951726[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3660.6[/C][C]NA[/C][C]NA[/C][C]3.28795[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3690.3[/C][C]NA[/C][C]NA[/C][C]-1.12038[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3710.4[/C][C]NA[/C][C]NA[/C][C]0.24863[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3759.05[/C][C]NA[/C][C]NA[/C][C]6.33926[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3795[/C][C]NA[/C][C]NA[/C][C]-1.30736[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3816.65[/C][C]3808.51[/C][C]3812.62[/C][C]-4.1117[/C][C]8.13878[/C][/ROW]
[ROW][C]8[/C][C]3853.85[/C][C]3846.52[/C][C]3846.6[/C][C]-0.0809124[/C][C]7.33091[/C][/ROW]
[ROW][C]9[/C][C]3873.15[/C][C]3883.45[/C][C]3883.93[/C][C]-0.482301[/C][C]-10.301[/C][/ROW]
[ROW][C]10[/C][C]3873.9[/C][C]3925.62[/C][C]3923.39[/C][C]2.2302[/C][C]-51.7198[/C][/ROW]
[ROW][C]11[/C][C]3921.2[/C][C]3958.96[/C][C]3964.04[/C][C]-5.08276[/C][C]-37.761[/C][/ROW]
[ROW][C]12[/C][C]3948.85[/C][C]4003.36[/C][C]4004.24[/C][C]-0.872348[/C][C]-54.5131[/C][/ROW]
[ROW][C]13[/C][C]4039.3[/C][C]4044.97[/C][C]4044.02[/C][C]0.951726[/C][C]-5.67464[/C][/ROW]
[ROW][C]14[/C][C]4094.5[/C][C]4087.73[/C][C]4084.44[/C][C]3.28795[/C][C]6.77455[/C][/ROW]
[ROW][C]15[/C][C]4152.4[/C][C]4123.25[/C][C]4124.37[/C][C]-1.12038[/C][C]29.1475[/C][/ROW]
[ROW][C]16[/C][C]4195.25[/C][C]4164.74[/C][C]4164.49[/C][C]0.24863[/C][C]30.5139[/C][/ROW]
[ROW][C]17[/C][C]4249.9[/C][C]4211.28[/C][C]4204.94[/C][C]6.33926[/C][C]38.6232[/C][/ROW]
[ROW][C]18[/C][C]4268.75[/C][C]4243.87[/C][C]4245.18[/C][C]-1.30736[/C][C]24.8803[/C][/ROW]
[ROW][C]19[/C][C]4297.8[/C][C]4278.54[/C][C]4282.65[/C][C]-4.1117[/C][C]19.2617[/C][/ROW]
[ROW][C]20[/C][C]4342.65[/C][C]4315.91[/C][C]4316[/C][C]-0.0809124[/C][C]26.7351[/C][/ROW]
[ROW][C]21[/C][C]4342.8[/C][C]4344.47[/C][C]4344.95[/C][C]-0.482301[/C][C]-1.67187[/C][/ROW]
[ROW][C]22[/C][C]4367[/C][C]4371.76[/C][C]4369.52[/C][C]2.2302[/C][C]-4.7552[/C][/ROW]
[ROW][C]23[/C][C]4398.9[/C][C]4386.77[/C][C]4391.85[/C][C]-5.08276[/C][C]12.1307[/C][/ROW]
[ROW][C]24[/C][C]4436.9[/C][C]4411.29[/C][C]4412.16[/C][C]-0.872348[/C][C]25.6078[/C][/ROW]
[ROW][C]25[/C][C]4450.6[/C][C]4433.75[/C][C]4432.8[/C][C]0.951726[/C][C]16.8483[/C][/ROW]
[ROW][C]26[/C][C]4483.5[/C][C]4456.13[/C][C]4452.84[/C][C]3.28795[/C][C]27.3683[/C][/ROW]
[ROW][C]27[/C][C]4458.4[/C][C]4471.79[/C][C]4472.91[/C][C]-1.12038[/C][C]-13.3942[/C][/ROW]
[ROW][C]28[/C][C]4478.95[/C][C]4495.53[/C][C]4495.28[/C][C]0.24863[/C][C]-16.5778[/C][/ROW]
[ROW][C]29[/C][C]4502.05[/C][C]4524.19[/C][C]4517.85[/C][C]6.33926[/C][C]-22.1351[/C][/ROW]
[ROW][C]30[/C][C]4504.1[/C][C]4537.66[/C][C]4538.96[/C][C]-1.30736[/C][C]-33.5551[/C][/ROW]
[ROW][C]31[/C][C]4557.7[/C][C]4555.92[/C][C]4560.04[/C][C]-4.1117[/C][C]1.77628[/C][/ROW]
[ROW][C]32[/C][C]4563.8[/C][C]4581.13[/C][C]4581.21[/C][C]-0.0809124[/C][C]-17.3295[/C][/ROW]
[ROW][C]33[/C][C]4603.35[/C][C]4601.49[/C][C]4601.97[/C][C]-0.482301[/C][C]1.8573[/C][/ROW]
[ROW][C]34[/C][C]4643.2[/C][C]4625.33[/C][C]4623.1[/C][C]2.2302[/C][C]17.8698[/C][/ROW]
[ROW][C]35[/C][C]4664.3[/C][C]4638.63[/C][C]4643.71[/C][C]-5.08276[/C][C]25.6723[/C][/ROW]
[ROW][C]36[/C][C]4678.3[/C][C]4662.01[/C][C]4662.88[/C][C]-0.872348[/C][C]16.2932[/C][/ROW]
[ROW][C]37[/C][C]4714.95[/C][C]4679.26[/C][C]4678.31[/C][C]0.951726[/C][C]35.6858[/C][/ROW]
[ROW][C]38[/C][C]4727.35[/C][C]4694.61[/C][C]4691.32[/C][C]3.28795[/C][C]32.737[/C][/ROW]
[ROW][C]39[/C][C]4712.9[/C][C]4705.13[/C][C]4706.25[/C][C]-1.12038[/C][C]7.77455[/C][/ROW]
[ROW][C]40[/C][C]4731.45[/C][C]4723.69[/C][C]4723.44[/C][C]0.24863[/C][C]7.75762[/C][/ROW]
[ROW][C]41[/C][C]4744.2[/C][C]4745.78[/C][C]4739.44[/C][C]6.33926[/C][C]-1.58301[/C][/ROW]
[ROW][C]42[/C][C]4722[/C][C]4751.37[/C][C]4752.68[/C][C]-1.30736[/C][C]-29.3697[/C][/ROW]
[ROW][C]43[/C][C]4710.2[/C][C]4759.54[/C][C]4763.66[/C][C]-4.1117[/C][C]-49.3446[/C][/ROW]
[ROW][C]44[/C][C]4723.6[/C][C]4773.38[/C][C]4773.46[/C][C]-0.0809124[/C][C]-49.7753[/C][/ROW]
[ROW][C]45[/C][C]4801.65[/C][C]4785.62[/C][C]4786.1[/C][C]-0.482301[/C][C]16.0344[/C][/ROW]
[ROW][C]46[/C][C]4857.65[/C][C]4804.94[/C][C]4802.71[/C][C]2.2302[/C][C]52.7073[/C][/ROW]
[ROW][C]47[/C][C]4833.85[/C][C]4814.8[/C][C]4819.88[/C][C]-5.08276[/C][C]19.0536[/C][/ROW]
[ROW][C]48[/C][C]4826.35[/C][C]4838.6[/C][C]4839.47[/C][C]-0.872348[/C][C]-12.2464[/C][/ROW]
[ROW][C]49[/C][C]4830.4[/C][C]4865.48[/C][C]4864.53[/C][C]0.951726[/C][C]-35.0809[/C][/ROW]
[ROW][C]50[/C][C]4847.1[/C][C]4894.69[/C][C]4891.4[/C][C]3.28795[/C][C]-47.5859[/C][/ROW]
[ROW][C]51[/C][C]4896.55[/C][C]4913.69[/C][C]4914.81[/C][C]-1.12038[/C][C]-17.1442[/C][/ROW]
[ROW][C]52[/C][C]4946.55[/C][C]4933.67[/C][C]4933.42[/C][C]0.24863[/C][C]12.8805[/C][/ROW]
[ROW][C]53[/C][C]4941.1[/C][C]4957.16[/C][C]4950.82[/C][C]6.33926[/C][C]-16.0622[/C][/ROW]
[ROW][C]54[/C][C]4995.25[/C][C]4970.68[/C][C]4971.98[/C][C]-1.30736[/C][C]24.574[/C][/ROW]
[ROW][C]55[/C][C]5038.4[/C][C]4991.93[/C][C]4996.04[/C][C]-4.1117[/C][C]46.4679[/C][/ROW]
[ROW][C]56[/C][C]5040.25[/C][C]5021.02[/C][C]5021.1[/C][C]-0.0809124[/C][C]19.2267[/C][/ROW]
[ROW][C]57[/C][C]5047[/C][C]5046.73[/C][C]5047.21[/C][C]-0.482301[/C][C]0.273968[/C][/ROW]
[ROW][C]58[/C][C]5058.85[/C][C]5073.54[/C][C]5071.31[/C][C]2.2302[/C][C]-14.6864[/C][/ROW]
[ROW][C]59[/C][C]5050.3[/C][C]5088.14[/C][C]5093.22[/C][C]-5.08276[/C][C]-37.836[/C][/ROW]
[ROW][C]60[/C][C]5117.75[/C][C]5113.74[/C][C]5114.62[/C][C]-0.872348[/C][C]4.00568[/C][/ROW]
[ROW][C]61[/C][C]5116.45[/C][C]5135.2[/C][C]5134.25[/C][C]0.951726[/C][C]-18.7496[/C][/ROW]
[ROW][C]62[/C][C]5162.5[/C][C]5157.84[/C][C]5154.55[/C][C]3.28795[/C][C]4.65788[/C][/ROW]
[ROW][C]63[/C][C]5207.65[/C][C]5176.16[/C][C]5177.28[/C][C]-1.12038[/C][C]31.487[/C][/ROW]
[ROW][C]64[/C][C]5213.8[/C][C]5199.41[/C][C]5199.16[/C][C]0.24863[/C][C]14.393[/C][/ROW]
[ROW][C]65[/C][C]5199.75[/C][C]5226.8[/C][C]5220.46[/C][C]6.33926[/C][C]-27.0497[/C][/ROW]
[ROW][C]66[/C][C]5250.15[/C][C]5239.46[/C][C]5240.77[/C][C]-1.30736[/C][C]10.6865[/C][/ROW]
[ROW][C]67[/C][C]5254.65[/C][C]5256.12[/C][C]5260.23[/C][C]-4.1117[/C][C]-1.46538[/C][/ROW]
[ROW][C]68[/C][C]5311.35[/C][C]5281.54[/C][C]5281.62[/C][C]-0.0809124[/C][C]29.8101[/C][/ROW]
[ROW][C]69[/C][C]5321.4[/C][C]5303.75[/C][C]5304.24[/C][C]-0.482301[/C][C]17.6469[/C][/ROW]
[ROW][C]70[/C][C]5309.45[/C][C]5330.41[/C][C]5328.18[/C][C]2.2302[/C][C]-20.9635[/C][/ROW]
[ROW][C]71[/C][C]5310.95[/C][C]5353.04[/C][C]5358.12[/C][C]-5.08276[/C][C]-42.0922[/C][/ROW]
[ROW][C]72[/C][C]5344.55[/C][C]5391.11[/C][C]5391.99[/C][C]-0.872348[/C][C]-46.5631[/C][/ROW]
[ROW][C]73[/C][C]5356.6[/C][C]5426.7[/C][C]5425.75[/C][C]0.951726[/C][C]-70.0976[/C][/ROW]
[ROW][C]74[/C][C]5435.8[/C][C]5462.31[/C][C]5459.02[/C][C]3.28795[/C][C]-26.513[/C][/ROW]
[ROW][C]75[/C][C]5477.1[/C][C]5491.12[/C][C]5492.24[/C][C]-1.12038[/C][C]-14.0192[/C][/ROW]
[ROW][C]76[/C][C]5519.1[/C][C]5528.52[/C][C]5528.28[/C][C]0.24863[/C][C]-9.42363[/C][/ROW]
[ROW][C]77[/C][C]5613.05[/C][C]5574.12[/C][C]5567.78[/C][C]6.33926[/C][C]38.9295[/C][/ROW]
[ROW][C]78[/C][C]5649.5[/C][C]5606.9[/C][C]5608.21[/C][C]-1.30736[/C][C]42.5969[/C][/ROW]
[ROW][C]79[/C][C]5665.55[/C][C]5644.84[/C][C]5648.95[/C][C]-4.1117[/C][C]20.7075[/C][/ROW]
[ROW][C]80[/C][C]5699.15[/C][C]5686.63[/C][C]5686.71[/C][C]-0.0809124[/C][C]12.5205[/C][/ROW]
[ROW][C]81[/C][C]5730.75[/C][C]5719.38[/C][C]5719.86[/C][C]-0.482301[/C][C]11.3677[/C][/ROW]
[ROW][C]82[/C][C]5764.95[/C][C]5754[/C][C]5751.77[/C][C]2.2302[/C][C]10.9531[/C][/ROW]
[ROW][C]83[/C][C]5803.6[/C][C]5775.99[/C][C]5781.08[/C][C]-5.08276[/C][C]27.6057[/C][/ROW]
[ROW][C]84[/C][C]5822.2[/C][C]5804.89[/C][C]5805.76[/C][C]-0.872348[/C][C]17.3098[/C][/ROW]
[ROW][C]85[/C][C]5856.8[/C][C]5829.14[/C][C]5828.19[/C][C]0.951726[/C][C]27.6587[/C][/ROW]
[ROW][C]86[/C][C]5841.75[/C][C]5853.67[/C][C]5850.39[/C][C]3.28795[/C][C]-11.9234[/C][/ROW]
[ROW][C]87[/C][C]5866.85[/C][C]5869.13[/C][C]5870.25[/C][C]-1.12038[/C][C]-2.27962[/C][/ROW]
[ROW][C]88[/C][C]5895[/C][C]5888.42[/C][C]5888.17[/C][C]0.24863[/C][C]6.58262[/C][/ROW]
[ROW][C]89[/C][C]5940.6[/C][C]5911.23[/C][C]5904.89[/C][C]6.33926[/C][C]29.3712[/C][/ROW]
[ROW][C]90[/C][C]5914.4[/C][C]5917.71[/C][C]5919.01[/C][C]-1.30736[/C][C]-3.30722[/C][/ROW]
[ROW][C]91[/C][C]5938.9[/C][C]5928.19[/C][C]5932.3[/C][C]-4.1117[/C][C]10.7075[/C][/ROW]
[ROW][C]92[/C][C]5958.5[/C][C]5946.98[/C][C]5947.06[/C][C]-0.0809124[/C][C]11.5163[/C][/ROW]
[ROW][C]93[/C][C]5948.15[/C][C]5959.8[/C][C]5960.28[/C][C]-0.482301[/C][C]-11.651[/C][/ROW]
[ROW][C]94[/C][C]5977.6[/C][C]5971.94[/C][C]5969.71[/C][C]2.2302[/C][C]5.65522[/C][/ROW]
[ROW][C]95[/C][C]5992.25[/C][C]5971.8[/C][C]5976.88[/C][C]-5.08276[/C][C]20.4536[/C][/ROW]
[ROW][C]96[/C][C]5972.55[/C][C]5984.21[/C][C]5985.08[/C][C]-0.872348[/C][C]-11.661[/C][/ROW]
[ROW][C]97[/C][C]6025.4[/C][C]5994.99[/C][C]5994.04[/C][C]0.951726[/C][C]30.4129[/C][/ROW]
[ROW][C]98[/C][C]6027.4[/C][C]6006.08[/C][C]6002.79[/C][C]3.28795[/C][C]21.3225[/C][/ROW]
[ROW][C]99[/C][C]5998.45[/C][C]6013.18[/C][C]6014.3[/C][C]-1.12038[/C][C]-14.7338[/C][/ROW]
[ROW][C]100[/C][C]5989.75[/C][C]6029.04[/C][C]6028.79[/C][C]0.24863[/C][C]-39.2882[/C][/ROW]
[ROW][C]101[/C][C]6017.8[/C][C]6051.06[/C][C]6044.72[/C][C]6.33926[/C][C]-33.2559[/C][/ROW]
[ROW][C]102[/C][C]6034.1[/C][C]6063.77[/C][C]6065.08[/C][C]-1.30736[/C][C]-29.6676[/C][/ROW]
[ROW][C]103[/C][C]6034.05[/C][C]6082.61[/C][C]6086.72[/C][C]-4.1117[/C][C]-48.5571[/C][/ROW]
[ROW][C]104[/C][C]6073.45[/C][C]6105.79[/C][C]6105.87[/C][C]-0.0809124[/C][C]-32.342[/C][/ROW]
[ROW][C]105[/C][C]6109.55[/C][C]6125.41[/C][C]6125.9[/C][C]-0.482301[/C][C]-15.8635[/C][/ROW]
[ROW][C]106[/C][C]6163.85[/C][C]6151.22[/C][C]6148.99[/C][C]2.2302[/C][C]12.6323[/C][/ROW]
[ROW][C]107[/C][C]6188.25[/C][C]6167.78[/C][C]6172.87[/C][C]-5.08276[/C][C]20.4661[/C][/ROW]
[ROW][C]108[/C][C]6265.15[/C][C]6195.69[/C][C]6196.56[/C][C]-0.872348[/C][C]69.4598[/C][/ROW]
[ROW][C]109[/C][C]6252.25[/C][C]6225.56[/C][C]6224.61[/C][C]0.951726[/C][C]26.6899[/C][/ROW]
[ROW][C]110[/C][C]6260.25[/C][C]NA[/C][C]NA[/C][C]3.28795[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]6246.15[/C][C]NA[/C][C]NA[/C][C]-1.12038[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]6296.25[/C][C]NA[/C][C]NA[/C][C]0.24863[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]6284.4[/C][C]NA[/C][C]NA[/C][C]6.33926[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6336.2[/C][C]NA[/C][C]NA[/C][C]-1.30736[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6405.05[/C][C]NA[/C][C]NA[/C][C]-4.1117[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298537&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298537&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
13657.75NANA0.951726NA
23660.6NANA3.28795NA
33690.3NANA-1.12038NA
43710.4NANA0.24863NA
53759.05NANA6.33926NA
63795NANA-1.30736NA
73816.653808.513812.62-4.11178.13878
83853.853846.523846.6-0.08091247.33091
93873.153883.453883.93-0.482301-10.301
103873.93925.623923.392.2302-51.7198
113921.23958.963964.04-5.08276-37.761
123948.854003.364004.24-0.872348-54.5131
134039.34044.974044.020.951726-5.67464
144094.54087.734084.443.287956.77455
154152.44123.254124.37-1.1203829.1475
164195.254164.744164.490.2486330.5139
174249.94211.284204.946.3392638.6232
184268.754243.874245.18-1.3073624.8803
194297.84278.544282.65-4.111719.2617
204342.654315.914316-0.080912426.7351
214342.84344.474344.95-0.482301-1.67187
2243674371.764369.522.2302-4.7552
234398.94386.774391.85-5.0827612.1307
244436.94411.294412.16-0.87234825.6078
254450.64433.754432.80.95172616.8483
264483.54456.134452.843.2879527.3683
274458.44471.794472.91-1.12038-13.3942
284478.954495.534495.280.24863-16.5778
294502.054524.194517.856.33926-22.1351
304504.14537.664538.96-1.30736-33.5551
314557.74555.924560.04-4.11171.77628
324563.84581.134581.21-0.0809124-17.3295
334603.354601.494601.97-0.4823011.8573
344643.24625.334623.12.230217.8698
354664.34638.634643.71-5.0827625.6723
364678.34662.014662.88-0.87234816.2932
374714.954679.264678.310.95172635.6858
384727.354694.614691.323.2879532.737
394712.94705.134706.25-1.120387.77455
404731.454723.694723.440.248637.75762
414744.24745.784739.446.33926-1.58301
4247224751.374752.68-1.30736-29.3697
434710.24759.544763.66-4.1117-49.3446
444723.64773.384773.46-0.0809124-49.7753
454801.654785.624786.1-0.48230116.0344
464857.654804.944802.712.230252.7073
474833.854814.84819.88-5.0827619.0536
484826.354838.64839.47-0.872348-12.2464
494830.44865.484864.530.951726-35.0809
504847.14894.694891.43.28795-47.5859
514896.554913.694914.81-1.12038-17.1442
524946.554933.674933.420.2486312.8805
534941.14957.164950.826.33926-16.0622
544995.254970.684971.98-1.3073624.574
555038.44991.934996.04-4.111746.4679
565040.255021.025021.1-0.080912419.2267
5750475046.735047.21-0.4823010.273968
585058.855073.545071.312.2302-14.6864
595050.35088.145093.22-5.08276-37.836
605117.755113.745114.62-0.8723484.00568
615116.455135.25134.250.951726-18.7496
625162.55157.845154.553.287954.65788
635207.655176.165177.28-1.1203831.487
645213.85199.415199.160.2486314.393
655199.755226.85220.466.33926-27.0497
665250.155239.465240.77-1.3073610.6865
675254.655256.125260.23-4.1117-1.46538
685311.355281.545281.62-0.080912429.8101
695321.45303.755304.24-0.48230117.6469
705309.455330.415328.182.2302-20.9635
715310.955353.045358.12-5.08276-42.0922
725344.555391.115391.99-0.872348-46.5631
735356.65426.75425.750.951726-70.0976
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765519.15528.525528.280.24863-9.42363
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785649.55606.95608.21-1.3073642.5969
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805699.155686.635686.71-0.080912412.5205
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1066163.856151.226148.992.230212.6323
1076188.256167.786172.87-5.0827620.4661
1086265.156195.696196.56-0.87234869.4598
1096252.256225.566224.610.95172626.6899
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1116246.15NANA-1.12038NA
1126296.25NANA0.24863NA
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1156405.05NANA-4.1117NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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')