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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, 16 Dec 2016 20:01:16 +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/16/t14819149427jp3xbqqisxf738.htm/, Retrieved Thu, 02 May 2024 15:15:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300487, Retrieved Thu, 02 May 2024 15:15:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [N2393 Classical d...] [2016-12-16 19:01:16] [549e222e79c75c10edc4b0c7b20158c3] [Current]
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Dataseries X:
4627
4597.8
4589
4575
4544.2
4522.2
4537.6
4630.6
4719.6
4722.2
4718
4721.8
4758
4807.4
4866
4846.4
4942.4
4920.4
4917.4
4890.2
4864.2
4817.2
4852.4
4836.4
4802.8
4835.8
4818.4
4845.2
4824.6
4799.8
4798.2
4802.4
4766.2
4804.8
4752.6
4798.6
4778.2
4774.6
4775.4
4812.4
4758.2
4785
4867.4
4842
4752
4778.8
4782.2
4774.2
4817.2
4812.4
4812.2
4837.2
4895
4952.6
4870.2
4857.4
4942.4
4952.8
4959
4969.4
4974.6
5017.2
5034.8
5063.8
5097.4
5215.8
5172
5216.4
5200.6
5237.6
5278.8
5368.2
5361.2
5349.4
5346.4
5443.4
5365
5386.8
5422
5419.8
5418.8
5391.8
5411.4
5446.6
5459.2
5495
5537
5559.8
5613.6
5630.6
5680.8
5728
5779.2
5806.2
5802.6
5774.6
5832.6
5840
5818.4
5861
5784.6
5785.2
5715.6
5718.6
5808.2
5839
5849
5853.6
5802.6
5849
5893.8
5829.4
5905.4
5936.8
5951
5973.6




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=300487&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=300487&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300487&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
14627NANA-12.6001NA
24597.8NANA-3.76122NA
34589NANA-4.0361NA
44575NANA17.0524NA
54544.2NANA6.79515NA
64522.2NANA19.4347NA
74537.646244630.88-6.87511-86.3999
84630.64640.764645.07-4.31029-10.1564
94719.64665.44665.340.056375454.202
104722.24687.424688.19-0.76955134.7779
1147184709.394716.09-6.701038.60937
124721.84744.994749.27-4.28529-23.1897
1347584769.094781.69-12.6001-11.0916
144807.44804.574808.33-3.761222.82788
1548664821.144825.17-4.036144.8611
164846.44852.214835.1617.0524-5.81077
174942.44851.514844.726.7951590.8882
184920.44874.534855.0919.434745.8736
194917.44854.864861.73-6.8751162.5418
204890.24860.474864.78-4.3102929.727
214864.24864.044863.980.05637540.160291
224817.24861.184861.95-0.769551-43.9804
234852.44850.294856.99-6.701032.10937
244836.44842.774847.06-4.28529-6.37304
254802.84824.474837.07-12.6001-21.6666
264835.84824.684828.44-3.7612211.1196
274818.44816.664820.7-4.03611.7361
284845.24833.154816.117.052412.0476
294824.64818.224811.426.795156.37985
304799.84825.134805.6919.4347-25.3264
314798.24796.224803.09-6.875111.98344
324802.44795.214799.52-4.310297.19362
334766.24795.234795.170.0563754-29.0314
344804.84791.254792.02-0.76955113.5529
354752.64781.184787.88-6.70103-28.5823
364798.64780.214784.5-4.2852918.3853
374778.24774.174786.77-12.60014.03344
384774.64787.544791.3-3.76122-12.9388
394775.44788.324792.36-4.0361-12.9222
404812.44807.744790.6817.05244.66423
414758.24797.634790.836.79515-39.4285
4247854810.484791.0519.4347-25.4847
434867.44784.784791.66-6.8751182.6168
4448424790.554794.86-4.3102951.452
4547524798.024797.970.0563754-46.023
464778.84799.764800.53-0.769551-20.9638
474782.24800.574807.27-6.70103-18.3656
484774.24815.664819.95-4.28529-41.4647
494817.24814.454827.05-12.60012.75011
504812.44824.054827.81-3.76122-11.6471
514812.24832.354836.38-4.0361-20.1472
524837.24868.624851.5717.0524-31.4191
5348954872.984866.186.7951522.0215
544952.64901.124881.6819.434751.4819
554870.24889.54896.37-6.87511-19.2999
564857.44907.164911.47-4.31029-49.7564
574942.44929.334929.280.056375413.0686
584952.84947.224947.99-0.7695515.57788
5949594959.174965.87-6.70103-0.165635
604969.44980.984985.27-4.28529-11.5814
614974.64996.215008.81-12.6001-21.6082
625017.25032.585036.34-3.76122-15.3804
635034.85058.025062.06-4.0361-23.2222
645063.85101.745084.6817.0524-37.9358
655097.45116.675109.886.79515-19.2701
665215.85159.255139.8219.434756.5486
6751725165.675172.54-6.875116.33344
685216.45198.185202.49-4.3102918.2186
695200.65229.375229.320.0563754-28.773
705237.65257.355258.12-0.769551-19.7471
715278.85278.385285.08-6.701030.417699
725368.25299.075303.36-4.2852969.127
735361.25308.35320.9-12.600152.9001
745349.45336.035339.79-3.7612213.3696
755346.45353.325357.36-4.0361-6.92223
765443.45389.935372.8817.052453.4726
7753655391.625384.826.79515-26.6201
785386.85413.055393.6219.4347-26.2514
7954225394.095400.97-6.8751127.9084
805419.85406.815411.12-4.3102912.9936
815418.85425.185425.120.0563754-6.38138
825391.85437.155437.92-0.769551-45.3471
835411.45446.425453.12-6.70103-35.024
845446.65469.365473.64-4.28529-22.7564
855459.25481.985494.58-12.6001-22.7832
8654955514.455518.21-3.76122-19.4471
8755375542.035546.07-4.0361-5.03057
885559.85595.45578.3517.0524-35.6024
895613.65618.715611.926.79515-5.11182
905630.65661.325641.8819.4347-30.7181
915680.85664.235671.11-6.8751116.5668
9257285696.735701.04-4.3102931.2686
935779.25727.25727.140.056375452.002
945806.25750.655751.42-0.76955155.5529
955802.65764.395771.09-6.7010338.2094
965774.65780.375784.66-4.28529-5.77304
975832.65779.955792.55-12.600152.6501
9858405789.855793.61-3.7612250.1529
995818.45790.395794.43-4.036128.0111
10058615814.05579717.052446.9476
1015784.65807.15800.36.79515-22.4951
1025785.25824.965805.5319.4347-39.7597
1035715.65800.695807.57-6.87511-85.0916
1045718.65802.385806.69-4.31029-83.7814
1055808.25810.265810.210.0563754-2.06471
10658395811.265812.03-0.76955127.7362
10758495809.055815.75-6.7010339.951
1085853.65822.815827.1-4.2852930.7853
1095802.65830.625843.22-12.6001-28.0249
11058495859.95863.66-3.76122-10.8971
1115893.8NANA-4.0361NA
1125829.4NANA17.0524NA
1135905.4NANA6.79515NA
1145936.8NANA19.4347NA
1155951NANA-6.87511NA
1165973.6NANA-4.31029NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4627 & NA & NA & -12.6001 & NA \tabularnewline
2 & 4597.8 & NA & NA & -3.76122 & NA \tabularnewline
3 & 4589 & NA & NA & -4.0361 & NA \tabularnewline
4 & 4575 & NA & NA & 17.0524 & NA \tabularnewline
5 & 4544.2 & NA & NA & 6.79515 & NA \tabularnewline
6 & 4522.2 & NA & NA & 19.4347 & NA \tabularnewline
7 & 4537.6 & 4624 & 4630.88 & -6.87511 & -86.3999 \tabularnewline
8 & 4630.6 & 4640.76 & 4645.07 & -4.31029 & -10.1564 \tabularnewline
9 & 4719.6 & 4665.4 & 4665.34 & 0.0563754 & 54.202 \tabularnewline
10 & 4722.2 & 4687.42 & 4688.19 & -0.769551 & 34.7779 \tabularnewline
11 & 4718 & 4709.39 & 4716.09 & -6.70103 & 8.60937 \tabularnewline
12 & 4721.8 & 4744.99 & 4749.27 & -4.28529 & -23.1897 \tabularnewline
13 & 4758 & 4769.09 & 4781.69 & -12.6001 & -11.0916 \tabularnewline
14 & 4807.4 & 4804.57 & 4808.33 & -3.76122 & 2.82788 \tabularnewline
15 & 4866 & 4821.14 & 4825.17 & -4.0361 & 44.8611 \tabularnewline
16 & 4846.4 & 4852.21 & 4835.16 & 17.0524 & -5.81077 \tabularnewline
17 & 4942.4 & 4851.51 & 4844.72 & 6.79515 & 90.8882 \tabularnewline
18 & 4920.4 & 4874.53 & 4855.09 & 19.4347 & 45.8736 \tabularnewline
19 & 4917.4 & 4854.86 & 4861.73 & -6.87511 & 62.5418 \tabularnewline
20 & 4890.2 & 4860.47 & 4864.78 & -4.31029 & 29.727 \tabularnewline
21 & 4864.2 & 4864.04 & 4863.98 & 0.0563754 & 0.160291 \tabularnewline
22 & 4817.2 & 4861.18 & 4861.95 & -0.769551 & -43.9804 \tabularnewline
23 & 4852.4 & 4850.29 & 4856.99 & -6.70103 & 2.10937 \tabularnewline
24 & 4836.4 & 4842.77 & 4847.06 & -4.28529 & -6.37304 \tabularnewline
25 & 4802.8 & 4824.47 & 4837.07 & -12.6001 & -21.6666 \tabularnewline
26 & 4835.8 & 4824.68 & 4828.44 & -3.76122 & 11.1196 \tabularnewline
27 & 4818.4 & 4816.66 & 4820.7 & -4.0361 & 1.7361 \tabularnewline
28 & 4845.2 & 4833.15 & 4816.1 & 17.0524 & 12.0476 \tabularnewline
29 & 4824.6 & 4818.22 & 4811.42 & 6.79515 & 6.37985 \tabularnewline
30 & 4799.8 & 4825.13 & 4805.69 & 19.4347 & -25.3264 \tabularnewline
31 & 4798.2 & 4796.22 & 4803.09 & -6.87511 & 1.98344 \tabularnewline
32 & 4802.4 & 4795.21 & 4799.52 & -4.31029 & 7.19362 \tabularnewline
33 & 4766.2 & 4795.23 & 4795.17 & 0.0563754 & -29.0314 \tabularnewline
34 & 4804.8 & 4791.25 & 4792.02 & -0.769551 & 13.5529 \tabularnewline
35 & 4752.6 & 4781.18 & 4787.88 & -6.70103 & -28.5823 \tabularnewline
36 & 4798.6 & 4780.21 & 4784.5 & -4.28529 & 18.3853 \tabularnewline
37 & 4778.2 & 4774.17 & 4786.77 & -12.6001 & 4.03344 \tabularnewline
38 & 4774.6 & 4787.54 & 4791.3 & -3.76122 & -12.9388 \tabularnewline
39 & 4775.4 & 4788.32 & 4792.36 & -4.0361 & -12.9222 \tabularnewline
40 & 4812.4 & 4807.74 & 4790.68 & 17.0524 & 4.66423 \tabularnewline
41 & 4758.2 & 4797.63 & 4790.83 & 6.79515 & -39.4285 \tabularnewline
42 & 4785 & 4810.48 & 4791.05 & 19.4347 & -25.4847 \tabularnewline
43 & 4867.4 & 4784.78 & 4791.66 & -6.87511 & 82.6168 \tabularnewline
44 & 4842 & 4790.55 & 4794.86 & -4.31029 & 51.452 \tabularnewline
45 & 4752 & 4798.02 & 4797.97 & 0.0563754 & -46.023 \tabularnewline
46 & 4778.8 & 4799.76 & 4800.53 & -0.769551 & -20.9638 \tabularnewline
47 & 4782.2 & 4800.57 & 4807.27 & -6.70103 & -18.3656 \tabularnewline
48 & 4774.2 & 4815.66 & 4819.95 & -4.28529 & -41.4647 \tabularnewline
49 & 4817.2 & 4814.45 & 4827.05 & -12.6001 & 2.75011 \tabularnewline
50 & 4812.4 & 4824.05 & 4827.81 & -3.76122 & -11.6471 \tabularnewline
51 & 4812.2 & 4832.35 & 4836.38 & -4.0361 & -20.1472 \tabularnewline
52 & 4837.2 & 4868.62 & 4851.57 & 17.0524 & -31.4191 \tabularnewline
53 & 4895 & 4872.98 & 4866.18 & 6.79515 & 22.0215 \tabularnewline
54 & 4952.6 & 4901.12 & 4881.68 & 19.4347 & 51.4819 \tabularnewline
55 & 4870.2 & 4889.5 & 4896.37 & -6.87511 & -19.2999 \tabularnewline
56 & 4857.4 & 4907.16 & 4911.47 & -4.31029 & -49.7564 \tabularnewline
57 & 4942.4 & 4929.33 & 4929.28 & 0.0563754 & 13.0686 \tabularnewline
58 & 4952.8 & 4947.22 & 4947.99 & -0.769551 & 5.57788 \tabularnewline
59 & 4959 & 4959.17 & 4965.87 & -6.70103 & -0.165635 \tabularnewline
60 & 4969.4 & 4980.98 & 4985.27 & -4.28529 & -11.5814 \tabularnewline
61 & 4974.6 & 4996.21 & 5008.81 & -12.6001 & -21.6082 \tabularnewline
62 & 5017.2 & 5032.58 & 5036.34 & -3.76122 & -15.3804 \tabularnewline
63 & 5034.8 & 5058.02 & 5062.06 & -4.0361 & -23.2222 \tabularnewline
64 & 5063.8 & 5101.74 & 5084.68 & 17.0524 & -37.9358 \tabularnewline
65 & 5097.4 & 5116.67 & 5109.88 & 6.79515 & -19.2701 \tabularnewline
66 & 5215.8 & 5159.25 & 5139.82 & 19.4347 & 56.5486 \tabularnewline
67 & 5172 & 5165.67 & 5172.54 & -6.87511 & 6.33344 \tabularnewline
68 & 5216.4 & 5198.18 & 5202.49 & -4.31029 & 18.2186 \tabularnewline
69 & 5200.6 & 5229.37 & 5229.32 & 0.0563754 & -28.773 \tabularnewline
70 & 5237.6 & 5257.35 & 5258.12 & -0.769551 & -19.7471 \tabularnewline
71 & 5278.8 & 5278.38 & 5285.08 & -6.70103 & 0.417699 \tabularnewline
72 & 5368.2 & 5299.07 & 5303.36 & -4.28529 & 69.127 \tabularnewline
73 & 5361.2 & 5308.3 & 5320.9 & -12.6001 & 52.9001 \tabularnewline
74 & 5349.4 & 5336.03 & 5339.79 & -3.76122 & 13.3696 \tabularnewline
75 & 5346.4 & 5353.32 & 5357.36 & -4.0361 & -6.92223 \tabularnewline
76 & 5443.4 & 5389.93 & 5372.88 & 17.0524 & 53.4726 \tabularnewline
77 & 5365 & 5391.62 & 5384.82 & 6.79515 & -26.6201 \tabularnewline
78 & 5386.8 & 5413.05 & 5393.62 & 19.4347 & -26.2514 \tabularnewline
79 & 5422 & 5394.09 & 5400.97 & -6.87511 & 27.9084 \tabularnewline
80 & 5419.8 & 5406.81 & 5411.12 & -4.31029 & 12.9936 \tabularnewline
81 & 5418.8 & 5425.18 & 5425.12 & 0.0563754 & -6.38138 \tabularnewline
82 & 5391.8 & 5437.15 & 5437.92 & -0.769551 & -45.3471 \tabularnewline
83 & 5411.4 & 5446.42 & 5453.12 & -6.70103 & -35.024 \tabularnewline
84 & 5446.6 & 5469.36 & 5473.64 & -4.28529 & -22.7564 \tabularnewline
85 & 5459.2 & 5481.98 & 5494.58 & -12.6001 & -22.7832 \tabularnewline
86 & 5495 & 5514.45 & 5518.21 & -3.76122 & -19.4471 \tabularnewline
87 & 5537 & 5542.03 & 5546.07 & -4.0361 & -5.03057 \tabularnewline
88 & 5559.8 & 5595.4 & 5578.35 & 17.0524 & -35.6024 \tabularnewline
89 & 5613.6 & 5618.71 & 5611.92 & 6.79515 & -5.11182 \tabularnewline
90 & 5630.6 & 5661.32 & 5641.88 & 19.4347 & -30.7181 \tabularnewline
91 & 5680.8 & 5664.23 & 5671.11 & -6.87511 & 16.5668 \tabularnewline
92 & 5728 & 5696.73 & 5701.04 & -4.31029 & 31.2686 \tabularnewline
93 & 5779.2 & 5727.2 & 5727.14 & 0.0563754 & 52.002 \tabularnewline
94 & 5806.2 & 5750.65 & 5751.42 & -0.769551 & 55.5529 \tabularnewline
95 & 5802.6 & 5764.39 & 5771.09 & -6.70103 & 38.2094 \tabularnewline
96 & 5774.6 & 5780.37 & 5784.66 & -4.28529 & -5.77304 \tabularnewline
97 & 5832.6 & 5779.95 & 5792.55 & -12.6001 & 52.6501 \tabularnewline
98 & 5840 & 5789.85 & 5793.61 & -3.76122 & 50.1529 \tabularnewline
99 & 5818.4 & 5790.39 & 5794.43 & -4.0361 & 28.0111 \tabularnewline
100 & 5861 & 5814.05 & 5797 & 17.0524 & 46.9476 \tabularnewline
101 & 5784.6 & 5807.1 & 5800.3 & 6.79515 & -22.4951 \tabularnewline
102 & 5785.2 & 5824.96 & 5805.53 & 19.4347 & -39.7597 \tabularnewline
103 & 5715.6 & 5800.69 & 5807.57 & -6.87511 & -85.0916 \tabularnewline
104 & 5718.6 & 5802.38 & 5806.69 & -4.31029 & -83.7814 \tabularnewline
105 & 5808.2 & 5810.26 & 5810.21 & 0.0563754 & -2.06471 \tabularnewline
106 & 5839 & 5811.26 & 5812.03 & -0.769551 & 27.7362 \tabularnewline
107 & 5849 & 5809.05 & 5815.75 & -6.70103 & 39.951 \tabularnewline
108 & 5853.6 & 5822.81 & 5827.1 & -4.28529 & 30.7853 \tabularnewline
109 & 5802.6 & 5830.62 & 5843.22 & -12.6001 & -28.0249 \tabularnewline
110 & 5849 & 5859.9 & 5863.66 & -3.76122 & -10.8971 \tabularnewline
111 & 5893.8 & NA & NA & -4.0361 & NA \tabularnewline
112 & 5829.4 & NA & NA & 17.0524 & NA \tabularnewline
113 & 5905.4 & NA & NA & 6.79515 & NA \tabularnewline
114 & 5936.8 & NA & NA & 19.4347 & NA \tabularnewline
115 & 5951 & NA & NA & -6.87511 & NA \tabularnewline
116 & 5973.6 & NA & NA & -4.31029 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300487&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]4627[/C][C]NA[/C][C]NA[/C][C]-12.6001[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4597.8[/C][C]NA[/C][C]NA[/C][C]-3.76122[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4589[/C][C]NA[/C][C]NA[/C][C]-4.0361[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4575[/C][C]NA[/C][C]NA[/C][C]17.0524[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4544.2[/C][C]NA[/C][C]NA[/C][C]6.79515[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4522.2[/C][C]NA[/C][C]NA[/C][C]19.4347[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4537.6[/C][C]4624[/C][C]4630.88[/C][C]-6.87511[/C][C]-86.3999[/C][/ROW]
[ROW][C]8[/C][C]4630.6[/C][C]4640.76[/C][C]4645.07[/C][C]-4.31029[/C][C]-10.1564[/C][/ROW]
[ROW][C]9[/C][C]4719.6[/C][C]4665.4[/C][C]4665.34[/C][C]0.0563754[/C][C]54.202[/C][/ROW]
[ROW][C]10[/C][C]4722.2[/C][C]4687.42[/C][C]4688.19[/C][C]-0.769551[/C][C]34.7779[/C][/ROW]
[ROW][C]11[/C][C]4718[/C][C]4709.39[/C][C]4716.09[/C][C]-6.70103[/C][C]8.60937[/C][/ROW]
[ROW][C]12[/C][C]4721.8[/C][C]4744.99[/C][C]4749.27[/C][C]-4.28529[/C][C]-23.1897[/C][/ROW]
[ROW][C]13[/C][C]4758[/C][C]4769.09[/C][C]4781.69[/C][C]-12.6001[/C][C]-11.0916[/C][/ROW]
[ROW][C]14[/C][C]4807.4[/C][C]4804.57[/C][C]4808.33[/C][C]-3.76122[/C][C]2.82788[/C][/ROW]
[ROW][C]15[/C][C]4866[/C][C]4821.14[/C][C]4825.17[/C][C]-4.0361[/C][C]44.8611[/C][/ROW]
[ROW][C]16[/C][C]4846.4[/C][C]4852.21[/C][C]4835.16[/C][C]17.0524[/C][C]-5.81077[/C][/ROW]
[ROW][C]17[/C][C]4942.4[/C][C]4851.51[/C][C]4844.72[/C][C]6.79515[/C][C]90.8882[/C][/ROW]
[ROW][C]18[/C][C]4920.4[/C][C]4874.53[/C][C]4855.09[/C][C]19.4347[/C][C]45.8736[/C][/ROW]
[ROW][C]19[/C][C]4917.4[/C][C]4854.86[/C][C]4861.73[/C][C]-6.87511[/C][C]62.5418[/C][/ROW]
[ROW][C]20[/C][C]4890.2[/C][C]4860.47[/C][C]4864.78[/C][C]-4.31029[/C][C]29.727[/C][/ROW]
[ROW][C]21[/C][C]4864.2[/C][C]4864.04[/C][C]4863.98[/C][C]0.0563754[/C][C]0.160291[/C][/ROW]
[ROW][C]22[/C][C]4817.2[/C][C]4861.18[/C][C]4861.95[/C][C]-0.769551[/C][C]-43.9804[/C][/ROW]
[ROW][C]23[/C][C]4852.4[/C][C]4850.29[/C][C]4856.99[/C][C]-6.70103[/C][C]2.10937[/C][/ROW]
[ROW][C]24[/C][C]4836.4[/C][C]4842.77[/C][C]4847.06[/C][C]-4.28529[/C][C]-6.37304[/C][/ROW]
[ROW][C]25[/C][C]4802.8[/C][C]4824.47[/C][C]4837.07[/C][C]-12.6001[/C][C]-21.6666[/C][/ROW]
[ROW][C]26[/C][C]4835.8[/C][C]4824.68[/C][C]4828.44[/C][C]-3.76122[/C][C]11.1196[/C][/ROW]
[ROW][C]27[/C][C]4818.4[/C][C]4816.66[/C][C]4820.7[/C][C]-4.0361[/C][C]1.7361[/C][/ROW]
[ROW][C]28[/C][C]4845.2[/C][C]4833.15[/C][C]4816.1[/C][C]17.0524[/C][C]12.0476[/C][/ROW]
[ROW][C]29[/C][C]4824.6[/C][C]4818.22[/C][C]4811.42[/C][C]6.79515[/C][C]6.37985[/C][/ROW]
[ROW][C]30[/C][C]4799.8[/C][C]4825.13[/C][C]4805.69[/C][C]19.4347[/C][C]-25.3264[/C][/ROW]
[ROW][C]31[/C][C]4798.2[/C][C]4796.22[/C][C]4803.09[/C][C]-6.87511[/C][C]1.98344[/C][/ROW]
[ROW][C]32[/C][C]4802.4[/C][C]4795.21[/C][C]4799.52[/C][C]-4.31029[/C][C]7.19362[/C][/ROW]
[ROW][C]33[/C][C]4766.2[/C][C]4795.23[/C][C]4795.17[/C][C]0.0563754[/C][C]-29.0314[/C][/ROW]
[ROW][C]34[/C][C]4804.8[/C][C]4791.25[/C][C]4792.02[/C][C]-0.769551[/C][C]13.5529[/C][/ROW]
[ROW][C]35[/C][C]4752.6[/C][C]4781.18[/C][C]4787.88[/C][C]-6.70103[/C][C]-28.5823[/C][/ROW]
[ROW][C]36[/C][C]4798.6[/C][C]4780.21[/C][C]4784.5[/C][C]-4.28529[/C][C]18.3853[/C][/ROW]
[ROW][C]37[/C][C]4778.2[/C][C]4774.17[/C][C]4786.77[/C][C]-12.6001[/C][C]4.03344[/C][/ROW]
[ROW][C]38[/C][C]4774.6[/C][C]4787.54[/C][C]4791.3[/C][C]-3.76122[/C][C]-12.9388[/C][/ROW]
[ROW][C]39[/C][C]4775.4[/C][C]4788.32[/C][C]4792.36[/C][C]-4.0361[/C][C]-12.9222[/C][/ROW]
[ROW][C]40[/C][C]4812.4[/C][C]4807.74[/C][C]4790.68[/C][C]17.0524[/C][C]4.66423[/C][/ROW]
[ROW][C]41[/C][C]4758.2[/C][C]4797.63[/C][C]4790.83[/C][C]6.79515[/C][C]-39.4285[/C][/ROW]
[ROW][C]42[/C][C]4785[/C][C]4810.48[/C][C]4791.05[/C][C]19.4347[/C][C]-25.4847[/C][/ROW]
[ROW][C]43[/C][C]4867.4[/C][C]4784.78[/C][C]4791.66[/C][C]-6.87511[/C][C]82.6168[/C][/ROW]
[ROW][C]44[/C][C]4842[/C][C]4790.55[/C][C]4794.86[/C][C]-4.31029[/C][C]51.452[/C][/ROW]
[ROW][C]45[/C][C]4752[/C][C]4798.02[/C][C]4797.97[/C][C]0.0563754[/C][C]-46.023[/C][/ROW]
[ROW][C]46[/C][C]4778.8[/C][C]4799.76[/C][C]4800.53[/C][C]-0.769551[/C][C]-20.9638[/C][/ROW]
[ROW][C]47[/C][C]4782.2[/C][C]4800.57[/C][C]4807.27[/C][C]-6.70103[/C][C]-18.3656[/C][/ROW]
[ROW][C]48[/C][C]4774.2[/C][C]4815.66[/C][C]4819.95[/C][C]-4.28529[/C][C]-41.4647[/C][/ROW]
[ROW][C]49[/C][C]4817.2[/C][C]4814.45[/C][C]4827.05[/C][C]-12.6001[/C][C]2.75011[/C][/ROW]
[ROW][C]50[/C][C]4812.4[/C][C]4824.05[/C][C]4827.81[/C][C]-3.76122[/C][C]-11.6471[/C][/ROW]
[ROW][C]51[/C][C]4812.2[/C][C]4832.35[/C][C]4836.38[/C][C]-4.0361[/C][C]-20.1472[/C][/ROW]
[ROW][C]52[/C][C]4837.2[/C][C]4868.62[/C][C]4851.57[/C][C]17.0524[/C][C]-31.4191[/C][/ROW]
[ROW][C]53[/C][C]4895[/C][C]4872.98[/C][C]4866.18[/C][C]6.79515[/C][C]22.0215[/C][/ROW]
[ROW][C]54[/C][C]4952.6[/C][C]4901.12[/C][C]4881.68[/C][C]19.4347[/C][C]51.4819[/C][/ROW]
[ROW][C]55[/C][C]4870.2[/C][C]4889.5[/C][C]4896.37[/C][C]-6.87511[/C][C]-19.2999[/C][/ROW]
[ROW][C]56[/C][C]4857.4[/C][C]4907.16[/C][C]4911.47[/C][C]-4.31029[/C][C]-49.7564[/C][/ROW]
[ROW][C]57[/C][C]4942.4[/C][C]4929.33[/C][C]4929.28[/C][C]0.0563754[/C][C]13.0686[/C][/ROW]
[ROW][C]58[/C][C]4952.8[/C][C]4947.22[/C][C]4947.99[/C][C]-0.769551[/C][C]5.57788[/C][/ROW]
[ROW][C]59[/C][C]4959[/C][C]4959.17[/C][C]4965.87[/C][C]-6.70103[/C][C]-0.165635[/C][/ROW]
[ROW][C]60[/C][C]4969.4[/C][C]4980.98[/C][C]4985.27[/C][C]-4.28529[/C][C]-11.5814[/C][/ROW]
[ROW][C]61[/C][C]4974.6[/C][C]4996.21[/C][C]5008.81[/C][C]-12.6001[/C][C]-21.6082[/C][/ROW]
[ROW][C]62[/C][C]5017.2[/C][C]5032.58[/C][C]5036.34[/C][C]-3.76122[/C][C]-15.3804[/C][/ROW]
[ROW][C]63[/C][C]5034.8[/C][C]5058.02[/C][C]5062.06[/C][C]-4.0361[/C][C]-23.2222[/C][/ROW]
[ROW][C]64[/C][C]5063.8[/C][C]5101.74[/C][C]5084.68[/C][C]17.0524[/C][C]-37.9358[/C][/ROW]
[ROW][C]65[/C][C]5097.4[/C][C]5116.67[/C][C]5109.88[/C][C]6.79515[/C][C]-19.2701[/C][/ROW]
[ROW][C]66[/C][C]5215.8[/C][C]5159.25[/C][C]5139.82[/C][C]19.4347[/C][C]56.5486[/C][/ROW]
[ROW][C]67[/C][C]5172[/C][C]5165.67[/C][C]5172.54[/C][C]-6.87511[/C][C]6.33344[/C][/ROW]
[ROW][C]68[/C][C]5216.4[/C][C]5198.18[/C][C]5202.49[/C][C]-4.31029[/C][C]18.2186[/C][/ROW]
[ROW][C]69[/C][C]5200.6[/C][C]5229.37[/C][C]5229.32[/C][C]0.0563754[/C][C]-28.773[/C][/ROW]
[ROW][C]70[/C][C]5237.6[/C][C]5257.35[/C][C]5258.12[/C][C]-0.769551[/C][C]-19.7471[/C][/ROW]
[ROW][C]71[/C][C]5278.8[/C][C]5278.38[/C][C]5285.08[/C][C]-6.70103[/C][C]0.417699[/C][/ROW]
[ROW][C]72[/C][C]5368.2[/C][C]5299.07[/C][C]5303.36[/C][C]-4.28529[/C][C]69.127[/C][/ROW]
[ROW][C]73[/C][C]5361.2[/C][C]5308.3[/C][C]5320.9[/C][C]-12.6001[/C][C]52.9001[/C][/ROW]
[ROW][C]74[/C][C]5349.4[/C][C]5336.03[/C][C]5339.79[/C][C]-3.76122[/C][C]13.3696[/C][/ROW]
[ROW][C]75[/C][C]5346.4[/C][C]5353.32[/C][C]5357.36[/C][C]-4.0361[/C][C]-6.92223[/C][/ROW]
[ROW][C]76[/C][C]5443.4[/C][C]5389.93[/C][C]5372.88[/C][C]17.0524[/C][C]53.4726[/C][/ROW]
[ROW][C]77[/C][C]5365[/C][C]5391.62[/C][C]5384.82[/C][C]6.79515[/C][C]-26.6201[/C][/ROW]
[ROW][C]78[/C][C]5386.8[/C][C]5413.05[/C][C]5393.62[/C][C]19.4347[/C][C]-26.2514[/C][/ROW]
[ROW][C]79[/C][C]5422[/C][C]5394.09[/C][C]5400.97[/C][C]-6.87511[/C][C]27.9084[/C][/ROW]
[ROW][C]80[/C][C]5419.8[/C][C]5406.81[/C][C]5411.12[/C][C]-4.31029[/C][C]12.9936[/C][/ROW]
[ROW][C]81[/C][C]5418.8[/C][C]5425.18[/C][C]5425.12[/C][C]0.0563754[/C][C]-6.38138[/C][/ROW]
[ROW][C]82[/C][C]5391.8[/C][C]5437.15[/C][C]5437.92[/C][C]-0.769551[/C][C]-45.3471[/C][/ROW]
[ROW][C]83[/C][C]5411.4[/C][C]5446.42[/C][C]5453.12[/C][C]-6.70103[/C][C]-35.024[/C][/ROW]
[ROW][C]84[/C][C]5446.6[/C][C]5469.36[/C][C]5473.64[/C][C]-4.28529[/C][C]-22.7564[/C][/ROW]
[ROW][C]85[/C][C]5459.2[/C][C]5481.98[/C][C]5494.58[/C][C]-12.6001[/C][C]-22.7832[/C][/ROW]
[ROW][C]86[/C][C]5495[/C][C]5514.45[/C][C]5518.21[/C][C]-3.76122[/C][C]-19.4471[/C][/ROW]
[ROW][C]87[/C][C]5537[/C][C]5542.03[/C][C]5546.07[/C][C]-4.0361[/C][C]-5.03057[/C][/ROW]
[ROW][C]88[/C][C]5559.8[/C][C]5595.4[/C][C]5578.35[/C][C]17.0524[/C][C]-35.6024[/C][/ROW]
[ROW][C]89[/C][C]5613.6[/C][C]5618.71[/C][C]5611.92[/C][C]6.79515[/C][C]-5.11182[/C][/ROW]
[ROW][C]90[/C][C]5630.6[/C][C]5661.32[/C][C]5641.88[/C][C]19.4347[/C][C]-30.7181[/C][/ROW]
[ROW][C]91[/C][C]5680.8[/C][C]5664.23[/C][C]5671.11[/C][C]-6.87511[/C][C]16.5668[/C][/ROW]
[ROW][C]92[/C][C]5728[/C][C]5696.73[/C][C]5701.04[/C][C]-4.31029[/C][C]31.2686[/C][/ROW]
[ROW][C]93[/C][C]5779.2[/C][C]5727.2[/C][C]5727.14[/C][C]0.0563754[/C][C]52.002[/C][/ROW]
[ROW][C]94[/C][C]5806.2[/C][C]5750.65[/C][C]5751.42[/C][C]-0.769551[/C][C]55.5529[/C][/ROW]
[ROW][C]95[/C][C]5802.6[/C][C]5764.39[/C][C]5771.09[/C][C]-6.70103[/C][C]38.2094[/C][/ROW]
[ROW][C]96[/C][C]5774.6[/C][C]5780.37[/C][C]5784.66[/C][C]-4.28529[/C][C]-5.77304[/C][/ROW]
[ROW][C]97[/C][C]5832.6[/C][C]5779.95[/C][C]5792.55[/C][C]-12.6001[/C][C]52.6501[/C][/ROW]
[ROW][C]98[/C][C]5840[/C][C]5789.85[/C][C]5793.61[/C][C]-3.76122[/C][C]50.1529[/C][/ROW]
[ROW][C]99[/C][C]5818.4[/C][C]5790.39[/C][C]5794.43[/C][C]-4.0361[/C][C]28.0111[/C][/ROW]
[ROW][C]100[/C][C]5861[/C][C]5814.05[/C][C]5797[/C][C]17.0524[/C][C]46.9476[/C][/ROW]
[ROW][C]101[/C][C]5784.6[/C][C]5807.1[/C][C]5800.3[/C][C]6.79515[/C][C]-22.4951[/C][/ROW]
[ROW][C]102[/C][C]5785.2[/C][C]5824.96[/C][C]5805.53[/C][C]19.4347[/C][C]-39.7597[/C][/ROW]
[ROW][C]103[/C][C]5715.6[/C][C]5800.69[/C][C]5807.57[/C][C]-6.87511[/C][C]-85.0916[/C][/ROW]
[ROW][C]104[/C][C]5718.6[/C][C]5802.38[/C][C]5806.69[/C][C]-4.31029[/C][C]-83.7814[/C][/ROW]
[ROW][C]105[/C][C]5808.2[/C][C]5810.26[/C][C]5810.21[/C][C]0.0563754[/C][C]-2.06471[/C][/ROW]
[ROW][C]106[/C][C]5839[/C][C]5811.26[/C][C]5812.03[/C][C]-0.769551[/C][C]27.7362[/C][/ROW]
[ROW][C]107[/C][C]5849[/C][C]5809.05[/C][C]5815.75[/C][C]-6.70103[/C][C]39.951[/C][/ROW]
[ROW][C]108[/C][C]5853.6[/C][C]5822.81[/C][C]5827.1[/C][C]-4.28529[/C][C]30.7853[/C][/ROW]
[ROW][C]109[/C][C]5802.6[/C][C]5830.62[/C][C]5843.22[/C][C]-12.6001[/C][C]-28.0249[/C][/ROW]
[ROW][C]110[/C][C]5849[/C][C]5859.9[/C][C]5863.66[/C][C]-3.76122[/C][C]-10.8971[/C][/ROW]
[ROW][C]111[/C][C]5893.8[/C][C]NA[/C][C]NA[/C][C]-4.0361[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5829.4[/C][C]NA[/C][C]NA[/C][C]17.0524[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5905.4[/C][C]NA[/C][C]NA[/C][C]6.79515[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5936.8[/C][C]NA[/C][C]NA[/C][C]19.4347[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5951[/C][C]NA[/C][C]NA[/C][C]-6.87511[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5973.6[/C][C]NA[/C][C]NA[/C][C]-4.31029[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300487&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300487&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
14627NANA-12.6001NA
24597.8NANA-3.76122NA
34589NANA-4.0361NA
44575NANA17.0524NA
54544.2NANA6.79515NA
64522.2NANA19.4347NA
74537.646244630.88-6.87511-86.3999
84630.64640.764645.07-4.31029-10.1564
94719.64665.44665.340.056375454.202
104722.24687.424688.19-0.76955134.7779
1147184709.394716.09-6.701038.60937
124721.84744.994749.27-4.28529-23.1897
1347584769.094781.69-12.6001-11.0916
144807.44804.574808.33-3.761222.82788
1548664821.144825.17-4.036144.8611
164846.44852.214835.1617.0524-5.81077
174942.44851.514844.726.7951590.8882
184920.44874.534855.0919.434745.8736
194917.44854.864861.73-6.8751162.5418
204890.24860.474864.78-4.3102929.727
214864.24864.044863.980.05637540.160291
224817.24861.184861.95-0.769551-43.9804
234852.44850.294856.99-6.701032.10937
244836.44842.774847.06-4.28529-6.37304
254802.84824.474837.07-12.6001-21.6666
264835.84824.684828.44-3.7612211.1196
274818.44816.664820.7-4.03611.7361
284845.24833.154816.117.052412.0476
294824.64818.224811.426.795156.37985
304799.84825.134805.6919.4347-25.3264
314798.24796.224803.09-6.875111.98344
324802.44795.214799.52-4.310297.19362
334766.24795.234795.170.0563754-29.0314
344804.84791.254792.02-0.76955113.5529
354752.64781.184787.88-6.70103-28.5823
364798.64780.214784.5-4.2852918.3853
374778.24774.174786.77-12.60014.03344
384774.64787.544791.3-3.76122-12.9388
394775.44788.324792.36-4.0361-12.9222
404812.44807.744790.6817.05244.66423
414758.24797.634790.836.79515-39.4285
4247854810.484791.0519.4347-25.4847
434867.44784.784791.66-6.8751182.6168
4448424790.554794.86-4.3102951.452
4547524798.024797.970.0563754-46.023
464778.84799.764800.53-0.769551-20.9638
474782.24800.574807.27-6.70103-18.3656
484774.24815.664819.95-4.28529-41.4647
494817.24814.454827.05-12.60012.75011
504812.44824.054827.81-3.76122-11.6471
514812.24832.354836.38-4.0361-20.1472
524837.24868.624851.5717.0524-31.4191
5348954872.984866.186.7951522.0215
544952.64901.124881.6819.434751.4819
554870.24889.54896.37-6.87511-19.2999
564857.44907.164911.47-4.31029-49.7564
574942.44929.334929.280.056375413.0686
584952.84947.224947.99-0.7695515.57788
5949594959.174965.87-6.70103-0.165635
604969.44980.984985.27-4.28529-11.5814
614974.64996.215008.81-12.6001-21.6082
625017.25032.585036.34-3.76122-15.3804
635034.85058.025062.06-4.0361-23.2222
645063.85101.745084.6817.0524-37.9358
655097.45116.675109.886.79515-19.2701
665215.85159.255139.8219.434756.5486
6751725165.675172.54-6.875116.33344
685216.45198.185202.49-4.3102918.2186
695200.65229.375229.320.0563754-28.773
705237.65257.355258.12-0.769551-19.7471
715278.85278.385285.08-6.701030.417699
725368.25299.075303.36-4.2852969.127
735361.25308.35320.9-12.600152.9001
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1085853.65822.815827.1-4.2852930.7853
1095802.65830.625843.22-12.6001-28.0249
11058495859.95863.66-3.76122-10.8971
1115893.8NANA-4.0361NA
1125829.4NANA17.0524NA
1135905.4NANA6.79515NA
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1165973.6NANA-4.31029NA



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')