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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 computationSat, 10 Dec 2016 12:17:05 +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/10/t14813686486935rd1tv64uz70.htm/, Retrieved Mon, 06 May 2024 05:20:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298649, Retrieved Mon, 06 May 2024 05:20:29 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact127
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-10 11:17:05] [462f83e9ca944f1b841aaa868aea0854] [Current]
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Dataseries X:
3891
3702
3712
3796
3856
3989
3922
4084
4169
4161
4205
4198
4228
4461
4326
4305
4351
4357
4449
4519
4422
4507
4549
4658
4468
4516
4548
4656
4640
4686
4734
4702
4723
4609
4731
4791
5111
4841
4875
4975
4973
4966
4937
4861
4980
4896
4924
4920
5088
5193
5169
5102
5041
4925
5091
4798
5098
5554
5173
5240
5101
5162
5207
5189
5258
5211
5149
5259
5327
5248
5421
5476
5507
5324
5123
5447
5290
5326
5118
5241
5178
5324
5292
5371
5453
5509
5437
5342
5390
5329
5258
5262
5147
5158
5125
5026
4917
4855
4668
4884
4923
4981
5148
5052
5061
4995
5058
5009
5145
5187
5327
5418
5482
5583
5735
5669




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=298649&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=298649&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298649&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
13891NANA32.0301NA
23702NANA19.6319NA
33712NANA-39.7419NA
43796NANA19.6435NA
53856NANA6.60706NA
63989NANA-12.6846NA
739223972.893987.79-14.9005-50.8912
840844002.774033.46-30.692181.2338
941694081.964090.67-8.7106587.044
1041614152.324137.4614.85888.68287
11420541824179.292.7106522.9977
1241984226.54215.2511.2477-28.4977
1342284284.574252.5432.0301-56.5718
1444614312.264292.6219.6319148.743
1543264281.554321.29-39.741944.4502
1643054365.894346.2519.6435-60.8935
1743514381.6143756.60706-30.6071
1843574395.824408.5-12.6846-38.8154
1944494422.774437.67-14.900526.2338
2045194419.274449.96-30.692199.7338
2144224452.794461.5-8.71065-30.7894
2245074500.234485.3814.85886.7662
2345494514.754512.042.7106534.2477
2446584549.044537.7911.2477108.961
2544684595.414563.3832.0301-127.405
2645164602.514582.8819.6319-86.5069
2745484563.34603.04-39.7419-15.2998
2846564639.484619.8319.643516.5231
2946404638.274631.676.607061.72627
3046864632.114644.79-12.684653.8929
3147344662.224677.12-14.900571.7755
3247024686.774717.46-30.692115.2338
3347234735.914744.62-8.71065-12.9144
3446094786.44771.5414.8588-177.4
3547314801.424798.712.71065-70.419
3647914835.54824.2511.2477-44.4977
3751114876.414844.3732.0301234.595
3848414879.094859.4619.6319-38.0903
3948754837.054876.79-39.741937.9502
4049754919.14899.4619.643555.8981
4149734926.074919.466.6070646.9346
4249664920.194932.88-12.684645.8096
4349374922.394937.29-14.900514.6088
4448614920.314951-30.6921-59.3079
4549804969.214977.92-8.7106510.794
4648965010.324995.4614.8588-114.317
4749245006.295003.582.71065-82.294
4849205015.965004.7111.2477-95.956
4950885041.455009.4232.030146.5532
5051935032.845013.2119.6319160.16
5151694975.765015.5-39.7419193.242
5251025067.485047.8319.643534.5231
5350415092.235085.626.60706-51.2321
5449255096.655109.33-12.6846-171.649
5550915108.315123.21-14.9005-17.3079
5647985091.775122.46-30.6921-293.766
5750985114.045122.75-8.71065-16.0394
5855545142.825127.9614.8588411.183
5951735143.345140.632.7106529.6644
6052405172.835161.5811.247767.169
6151015207.955175.9232.0301-106.947
6251625217.175197.5419.6319-55.1736
6352075186.555226.29-39.741920.4502
6451895242.735223.0819.6435-53.7269
6552585227.275220.676.6070630.7263
6652115228.155240.83-12.6846-17.1487
6751495252.685267.58-14.9005-103.683
6852595260.565291.25-30.6921-1.55787
6953275285.795294.5-8.7106541.2106
7052485316.615301.7514.8588-68.6088
7154215316.545313.832.71065104.456
7254765331.215319.9611.2477144.794
7355075355.495323.4632.0301151.512
7453245341.055321.4219.6319-17.0486
7551235274.725314.46-39.7419-151.716
7654475331.065311.4219.6435115.94
7752905315.825309.216.60706-25.8154
7853265286.775299.46-12.684639.2263
7951185277.935292.83-14.9005-159.933
8052415267.65298.29-30.6921-26.5995
8151785310.375319.08-8.71065-132.373
8253245342.655327.7914.8588-18.6505
8352925330.295327.582.71065-38.294
8453715343.125331.8811.247727.8773
8554535369.865337.8332.030183.1366
8655095364.175344.5419.6319144.826
8754375304.385344.12-39.7419132.617
8853425355.565335.9219.6435-13.5602
8953905328.655322.046.6070661.3513
9053295288.025300.71-12.684640.9763
9152585249.15264-14.90058.90046
9252625183.725214.42-30.692178.2755
9351475146.415155.12-8.710650.585648
9451585118.86510414.858839.1412
9551255068.175065.462.7106556.831
9650265042.755031.511.2477-16.7477
9749175044.455012.4232.0301-127.447
9848555018.724999.0819.6319-163.715
9946684947.014986.75-39.7419-279.008
10048844996.024976.3819.6435-112.019
10149234973.44966.796.60706-50.3987
10249814950.614963.29-12.684630.3929
10351484957.184972.08-14.9005190.817
10450524964.724995.42-30.692187.2755
105506150285036.71-8.7106533.0023
10649955101.285086.4214.8588-106.275
10750585134.675131.962.71065-76.669
10850095191.585180.3311.2477-182.581
10951455261.915229.8832.0301-116.905
11051875299.675280.0419.6319-112.674
1115327NANA-39.7419NA
1125418NANA19.6435NA
1135482NANA6.60706NA
1145583NANA-12.6846NA
1155735NANA-14.9005NA
1165669NANA-30.6921NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3891 & NA & NA & 32.0301 & NA \tabularnewline
2 & 3702 & NA & NA & 19.6319 & NA \tabularnewline
3 & 3712 & NA & NA & -39.7419 & NA \tabularnewline
4 & 3796 & NA & NA & 19.6435 & NA \tabularnewline
5 & 3856 & NA & NA & 6.60706 & NA \tabularnewline
6 & 3989 & NA & NA & -12.6846 & NA \tabularnewline
7 & 3922 & 3972.89 & 3987.79 & -14.9005 & -50.8912 \tabularnewline
8 & 4084 & 4002.77 & 4033.46 & -30.6921 & 81.2338 \tabularnewline
9 & 4169 & 4081.96 & 4090.67 & -8.71065 & 87.044 \tabularnewline
10 & 4161 & 4152.32 & 4137.46 & 14.8588 & 8.68287 \tabularnewline
11 & 4205 & 4182 & 4179.29 & 2.71065 & 22.9977 \tabularnewline
12 & 4198 & 4226.5 & 4215.25 & 11.2477 & -28.4977 \tabularnewline
13 & 4228 & 4284.57 & 4252.54 & 32.0301 & -56.5718 \tabularnewline
14 & 4461 & 4312.26 & 4292.62 & 19.6319 & 148.743 \tabularnewline
15 & 4326 & 4281.55 & 4321.29 & -39.7419 & 44.4502 \tabularnewline
16 & 4305 & 4365.89 & 4346.25 & 19.6435 & -60.8935 \tabularnewline
17 & 4351 & 4381.61 & 4375 & 6.60706 & -30.6071 \tabularnewline
18 & 4357 & 4395.82 & 4408.5 & -12.6846 & -38.8154 \tabularnewline
19 & 4449 & 4422.77 & 4437.67 & -14.9005 & 26.2338 \tabularnewline
20 & 4519 & 4419.27 & 4449.96 & -30.6921 & 99.7338 \tabularnewline
21 & 4422 & 4452.79 & 4461.5 & -8.71065 & -30.7894 \tabularnewline
22 & 4507 & 4500.23 & 4485.38 & 14.8588 & 6.7662 \tabularnewline
23 & 4549 & 4514.75 & 4512.04 & 2.71065 & 34.2477 \tabularnewline
24 & 4658 & 4549.04 & 4537.79 & 11.2477 & 108.961 \tabularnewline
25 & 4468 & 4595.41 & 4563.38 & 32.0301 & -127.405 \tabularnewline
26 & 4516 & 4602.51 & 4582.88 & 19.6319 & -86.5069 \tabularnewline
27 & 4548 & 4563.3 & 4603.04 & -39.7419 & -15.2998 \tabularnewline
28 & 4656 & 4639.48 & 4619.83 & 19.6435 & 16.5231 \tabularnewline
29 & 4640 & 4638.27 & 4631.67 & 6.60706 & 1.72627 \tabularnewline
30 & 4686 & 4632.11 & 4644.79 & -12.6846 & 53.8929 \tabularnewline
31 & 4734 & 4662.22 & 4677.12 & -14.9005 & 71.7755 \tabularnewline
32 & 4702 & 4686.77 & 4717.46 & -30.6921 & 15.2338 \tabularnewline
33 & 4723 & 4735.91 & 4744.62 & -8.71065 & -12.9144 \tabularnewline
34 & 4609 & 4786.4 & 4771.54 & 14.8588 & -177.4 \tabularnewline
35 & 4731 & 4801.42 & 4798.71 & 2.71065 & -70.419 \tabularnewline
36 & 4791 & 4835.5 & 4824.25 & 11.2477 & -44.4977 \tabularnewline
37 & 5111 & 4876.41 & 4844.37 & 32.0301 & 234.595 \tabularnewline
38 & 4841 & 4879.09 & 4859.46 & 19.6319 & -38.0903 \tabularnewline
39 & 4875 & 4837.05 & 4876.79 & -39.7419 & 37.9502 \tabularnewline
40 & 4975 & 4919.1 & 4899.46 & 19.6435 & 55.8981 \tabularnewline
41 & 4973 & 4926.07 & 4919.46 & 6.60706 & 46.9346 \tabularnewline
42 & 4966 & 4920.19 & 4932.88 & -12.6846 & 45.8096 \tabularnewline
43 & 4937 & 4922.39 & 4937.29 & -14.9005 & 14.6088 \tabularnewline
44 & 4861 & 4920.31 & 4951 & -30.6921 & -59.3079 \tabularnewline
45 & 4980 & 4969.21 & 4977.92 & -8.71065 & 10.794 \tabularnewline
46 & 4896 & 5010.32 & 4995.46 & 14.8588 & -114.317 \tabularnewline
47 & 4924 & 5006.29 & 5003.58 & 2.71065 & -82.294 \tabularnewline
48 & 4920 & 5015.96 & 5004.71 & 11.2477 & -95.956 \tabularnewline
49 & 5088 & 5041.45 & 5009.42 & 32.0301 & 46.5532 \tabularnewline
50 & 5193 & 5032.84 & 5013.21 & 19.6319 & 160.16 \tabularnewline
51 & 5169 & 4975.76 & 5015.5 & -39.7419 & 193.242 \tabularnewline
52 & 5102 & 5067.48 & 5047.83 & 19.6435 & 34.5231 \tabularnewline
53 & 5041 & 5092.23 & 5085.62 & 6.60706 & -51.2321 \tabularnewline
54 & 4925 & 5096.65 & 5109.33 & -12.6846 & -171.649 \tabularnewline
55 & 5091 & 5108.31 & 5123.21 & -14.9005 & -17.3079 \tabularnewline
56 & 4798 & 5091.77 & 5122.46 & -30.6921 & -293.766 \tabularnewline
57 & 5098 & 5114.04 & 5122.75 & -8.71065 & -16.0394 \tabularnewline
58 & 5554 & 5142.82 & 5127.96 & 14.8588 & 411.183 \tabularnewline
59 & 5173 & 5143.34 & 5140.63 & 2.71065 & 29.6644 \tabularnewline
60 & 5240 & 5172.83 & 5161.58 & 11.2477 & 67.169 \tabularnewline
61 & 5101 & 5207.95 & 5175.92 & 32.0301 & -106.947 \tabularnewline
62 & 5162 & 5217.17 & 5197.54 & 19.6319 & -55.1736 \tabularnewline
63 & 5207 & 5186.55 & 5226.29 & -39.7419 & 20.4502 \tabularnewline
64 & 5189 & 5242.73 & 5223.08 & 19.6435 & -53.7269 \tabularnewline
65 & 5258 & 5227.27 & 5220.67 & 6.60706 & 30.7263 \tabularnewline
66 & 5211 & 5228.15 & 5240.83 & -12.6846 & -17.1487 \tabularnewline
67 & 5149 & 5252.68 & 5267.58 & -14.9005 & -103.683 \tabularnewline
68 & 5259 & 5260.56 & 5291.25 & -30.6921 & -1.55787 \tabularnewline
69 & 5327 & 5285.79 & 5294.5 & -8.71065 & 41.2106 \tabularnewline
70 & 5248 & 5316.61 & 5301.75 & 14.8588 & -68.6088 \tabularnewline
71 & 5421 & 5316.54 & 5313.83 & 2.71065 & 104.456 \tabularnewline
72 & 5476 & 5331.21 & 5319.96 & 11.2477 & 144.794 \tabularnewline
73 & 5507 & 5355.49 & 5323.46 & 32.0301 & 151.512 \tabularnewline
74 & 5324 & 5341.05 & 5321.42 & 19.6319 & -17.0486 \tabularnewline
75 & 5123 & 5274.72 & 5314.46 & -39.7419 & -151.716 \tabularnewline
76 & 5447 & 5331.06 & 5311.42 & 19.6435 & 115.94 \tabularnewline
77 & 5290 & 5315.82 & 5309.21 & 6.60706 & -25.8154 \tabularnewline
78 & 5326 & 5286.77 & 5299.46 & -12.6846 & 39.2263 \tabularnewline
79 & 5118 & 5277.93 & 5292.83 & -14.9005 & -159.933 \tabularnewline
80 & 5241 & 5267.6 & 5298.29 & -30.6921 & -26.5995 \tabularnewline
81 & 5178 & 5310.37 & 5319.08 & -8.71065 & -132.373 \tabularnewline
82 & 5324 & 5342.65 & 5327.79 & 14.8588 & -18.6505 \tabularnewline
83 & 5292 & 5330.29 & 5327.58 & 2.71065 & -38.294 \tabularnewline
84 & 5371 & 5343.12 & 5331.88 & 11.2477 & 27.8773 \tabularnewline
85 & 5453 & 5369.86 & 5337.83 & 32.0301 & 83.1366 \tabularnewline
86 & 5509 & 5364.17 & 5344.54 & 19.6319 & 144.826 \tabularnewline
87 & 5437 & 5304.38 & 5344.12 & -39.7419 & 132.617 \tabularnewline
88 & 5342 & 5355.56 & 5335.92 & 19.6435 & -13.5602 \tabularnewline
89 & 5390 & 5328.65 & 5322.04 & 6.60706 & 61.3513 \tabularnewline
90 & 5329 & 5288.02 & 5300.71 & -12.6846 & 40.9763 \tabularnewline
91 & 5258 & 5249.1 & 5264 & -14.9005 & 8.90046 \tabularnewline
92 & 5262 & 5183.72 & 5214.42 & -30.6921 & 78.2755 \tabularnewline
93 & 5147 & 5146.41 & 5155.12 & -8.71065 & 0.585648 \tabularnewline
94 & 5158 & 5118.86 & 5104 & 14.8588 & 39.1412 \tabularnewline
95 & 5125 & 5068.17 & 5065.46 & 2.71065 & 56.831 \tabularnewline
96 & 5026 & 5042.75 & 5031.5 & 11.2477 & -16.7477 \tabularnewline
97 & 4917 & 5044.45 & 5012.42 & 32.0301 & -127.447 \tabularnewline
98 & 4855 & 5018.72 & 4999.08 & 19.6319 & -163.715 \tabularnewline
99 & 4668 & 4947.01 & 4986.75 & -39.7419 & -279.008 \tabularnewline
100 & 4884 & 4996.02 & 4976.38 & 19.6435 & -112.019 \tabularnewline
101 & 4923 & 4973.4 & 4966.79 & 6.60706 & -50.3987 \tabularnewline
102 & 4981 & 4950.61 & 4963.29 & -12.6846 & 30.3929 \tabularnewline
103 & 5148 & 4957.18 & 4972.08 & -14.9005 & 190.817 \tabularnewline
104 & 5052 & 4964.72 & 4995.42 & -30.6921 & 87.2755 \tabularnewline
105 & 5061 & 5028 & 5036.71 & -8.71065 & 33.0023 \tabularnewline
106 & 4995 & 5101.28 & 5086.42 & 14.8588 & -106.275 \tabularnewline
107 & 5058 & 5134.67 & 5131.96 & 2.71065 & -76.669 \tabularnewline
108 & 5009 & 5191.58 & 5180.33 & 11.2477 & -182.581 \tabularnewline
109 & 5145 & 5261.91 & 5229.88 & 32.0301 & -116.905 \tabularnewline
110 & 5187 & 5299.67 & 5280.04 & 19.6319 & -112.674 \tabularnewline
111 & 5327 & NA & NA & -39.7419 & NA \tabularnewline
112 & 5418 & NA & NA & 19.6435 & NA \tabularnewline
113 & 5482 & NA & NA & 6.60706 & NA \tabularnewline
114 & 5583 & NA & NA & -12.6846 & NA \tabularnewline
115 & 5735 & NA & NA & -14.9005 & NA \tabularnewline
116 & 5669 & NA & NA & -30.6921 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298649&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]3891[/C][C]NA[/C][C]NA[/C][C]32.0301[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3702[/C][C]NA[/C][C]NA[/C][C]19.6319[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3712[/C][C]NA[/C][C]NA[/C][C]-39.7419[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3796[/C][C]NA[/C][C]NA[/C][C]19.6435[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3856[/C][C]NA[/C][C]NA[/C][C]6.60706[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3989[/C][C]NA[/C][C]NA[/C][C]-12.6846[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3922[/C][C]3972.89[/C][C]3987.79[/C][C]-14.9005[/C][C]-50.8912[/C][/ROW]
[ROW][C]8[/C][C]4084[/C][C]4002.77[/C][C]4033.46[/C][C]-30.6921[/C][C]81.2338[/C][/ROW]
[ROW][C]9[/C][C]4169[/C][C]4081.96[/C][C]4090.67[/C][C]-8.71065[/C][C]87.044[/C][/ROW]
[ROW][C]10[/C][C]4161[/C][C]4152.32[/C][C]4137.46[/C][C]14.8588[/C][C]8.68287[/C][/ROW]
[ROW][C]11[/C][C]4205[/C][C]4182[/C][C]4179.29[/C][C]2.71065[/C][C]22.9977[/C][/ROW]
[ROW][C]12[/C][C]4198[/C][C]4226.5[/C][C]4215.25[/C][C]11.2477[/C][C]-28.4977[/C][/ROW]
[ROW][C]13[/C][C]4228[/C][C]4284.57[/C][C]4252.54[/C][C]32.0301[/C][C]-56.5718[/C][/ROW]
[ROW][C]14[/C][C]4461[/C][C]4312.26[/C][C]4292.62[/C][C]19.6319[/C][C]148.743[/C][/ROW]
[ROW][C]15[/C][C]4326[/C][C]4281.55[/C][C]4321.29[/C][C]-39.7419[/C][C]44.4502[/C][/ROW]
[ROW][C]16[/C][C]4305[/C][C]4365.89[/C][C]4346.25[/C][C]19.6435[/C][C]-60.8935[/C][/ROW]
[ROW][C]17[/C][C]4351[/C][C]4381.61[/C][C]4375[/C][C]6.60706[/C][C]-30.6071[/C][/ROW]
[ROW][C]18[/C][C]4357[/C][C]4395.82[/C][C]4408.5[/C][C]-12.6846[/C][C]-38.8154[/C][/ROW]
[ROW][C]19[/C][C]4449[/C][C]4422.77[/C][C]4437.67[/C][C]-14.9005[/C][C]26.2338[/C][/ROW]
[ROW][C]20[/C][C]4519[/C][C]4419.27[/C][C]4449.96[/C][C]-30.6921[/C][C]99.7338[/C][/ROW]
[ROW][C]21[/C][C]4422[/C][C]4452.79[/C][C]4461.5[/C][C]-8.71065[/C][C]-30.7894[/C][/ROW]
[ROW][C]22[/C][C]4507[/C][C]4500.23[/C][C]4485.38[/C][C]14.8588[/C][C]6.7662[/C][/ROW]
[ROW][C]23[/C][C]4549[/C][C]4514.75[/C][C]4512.04[/C][C]2.71065[/C][C]34.2477[/C][/ROW]
[ROW][C]24[/C][C]4658[/C][C]4549.04[/C][C]4537.79[/C][C]11.2477[/C][C]108.961[/C][/ROW]
[ROW][C]25[/C][C]4468[/C][C]4595.41[/C][C]4563.38[/C][C]32.0301[/C][C]-127.405[/C][/ROW]
[ROW][C]26[/C][C]4516[/C][C]4602.51[/C][C]4582.88[/C][C]19.6319[/C][C]-86.5069[/C][/ROW]
[ROW][C]27[/C][C]4548[/C][C]4563.3[/C][C]4603.04[/C][C]-39.7419[/C][C]-15.2998[/C][/ROW]
[ROW][C]28[/C][C]4656[/C][C]4639.48[/C][C]4619.83[/C][C]19.6435[/C][C]16.5231[/C][/ROW]
[ROW][C]29[/C][C]4640[/C][C]4638.27[/C][C]4631.67[/C][C]6.60706[/C][C]1.72627[/C][/ROW]
[ROW][C]30[/C][C]4686[/C][C]4632.11[/C][C]4644.79[/C][C]-12.6846[/C][C]53.8929[/C][/ROW]
[ROW][C]31[/C][C]4734[/C][C]4662.22[/C][C]4677.12[/C][C]-14.9005[/C][C]71.7755[/C][/ROW]
[ROW][C]32[/C][C]4702[/C][C]4686.77[/C][C]4717.46[/C][C]-30.6921[/C][C]15.2338[/C][/ROW]
[ROW][C]33[/C][C]4723[/C][C]4735.91[/C][C]4744.62[/C][C]-8.71065[/C][C]-12.9144[/C][/ROW]
[ROW][C]34[/C][C]4609[/C][C]4786.4[/C][C]4771.54[/C][C]14.8588[/C][C]-177.4[/C][/ROW]
[ROW][C]35[/C][C]4731[/C][C]4801.42[/C][C]4798.71[/C][C]2.71065[/C][C]-70.419[/C][/ROW]
[ROW][C]36[/C][C]4791[/C][C]4835.5[/C][C]4824.25[/C][C]11.2477[/C][C]-44.4977[/C][/ROW]
[ROW][C]37[/C][C]5111[/C][C]4876.41[/C][C]4844.37[/C][C]32.0301[/C][C]234.595[/C][/ROW]
[ROW][C]38[/C][C]4841[/C][C]4879.09[/C][C]4859.46[/C][C]19.6319[/C][C]-38.0903[/C][/ROW]
[ROW][C]39[/C][C]4875[/C][C]4837.05[/C][C]4876.79[/C][C]-39.7419[/C][C]37.9502[/C][/ROW]
[ROW][C]40[/C][C]4975[/C][C]4919.1[/C][C]4899.46[/C][C]19.6435[/C][C]55.8981[/C][/ROW]
[ROW][C]41[/C][C]4973[/C][C]4926.07[/C][C]4919.46[/C][C]6.60706[/C][C]46.9346[/C][/ROW]
[ROW][C]42[/C][C]4966[/C][C]4920.19[/C][C]4932.88[/C][C]-12.6846[/C][C]45.8096[/C][/ROW]
[ROW][C]43[/C][C]4937[/C][C]4922.39[/C][C]4937.29[/C][C]-14.9005[/C][C]14.6088[/C][/ROW]
[ROW][C]44[/C][C]4861[/C][C]4920.31[/C][C]4951[/C][C]-30.6921[/C][C]-59.3079[/C][/ROW]
[ROW][C]45[/C][C]4980[/C][C]4969.21[/C][C]4977.92[/C][C]-8.71065[/C][C]10.794[/C][/ROW]
[ROW][C]46[/C][C]4896[/C][C]5010.32[/C][C]4995.46[/C][C]14.8588[/C][C]-114.317[/C][/ROW]
[ROW][C]47[/C][C]4924[/C][C]5006.29[/C][C]5003.58[/C][C]2.71065[/C][C]-82.294[/C][/ROW]
[ROW][C]48[/C][C]4920[/C][C]5015.96[/C][C]5004.71[/C][C]11.2477[/C][C]-95.956[/C][/ROW]
[ROW][C]49[/C][C]5088[/C][C]5041.45[/C][C]5009.42[/C][C]32.0301[/C][C]46.5532[/C][/ROW]
[ROW][C]50[/C][C]5193[/C][C]5032.84[/C][C]5013.21[/C][C]19.6319[/C][C]160.16[/C][/ROW]
[ROW][C]51[/C][C]5169[/C][C]4975.76[/C][C]5015.5[/C][C]-39.7419[/C][C]193.242[/C][/ROW]
[ROW][C]52[/C][C]5102[/C][C]5067.48[/C][C]5047.83[/C][C]19.6435[/C][C]34.5231[/C][/ROW]
[ROW][C]53[/C][C]5041[/C][C]5092.23[/C][C]5085.62[/C][C]6.60706[/C][C]-51.2321[/C][/ROW]
[ROW][C]54[/C][C]4925[/C][C]5096.65[/C][C]5109.33[/C][C]-12.6846[/C][C]-171.649[/C][/ROW]
[ROW][C]55[/C][C]5091[/C][C]5108.31[/C][C]5123.21[/C][C]-14.9005[/C][C]-17.3079[/C][/ROW]
[ROW][C]56[/C][C]4798[/C][C]5091.77[/C][C]5122.46[/C][C]-30.6921[/C][C]-293.766[/C][/ROW]
[ROW][C]57[/C][C]5098[/C][C]5114.04[/C][C]5122.75[/C][C]-8.71065[/C][C]-16.0394[/C][/ROW]
[ROW][C]58[/C][C]5554[/C][C]5142.82[/C][C]5127.96[/C][C]14.8588[/C][C]411.183[/C][/ROW]
[ROW][C]59[/C][C]5173[/C][C]5143.34[/C][C]5140.63[/C][C]2.71065[/C][C]29.6644[/C][/ROW]
[ROW][C]60[/C][C]5240[/C][C]5172.83[/C][C]5161.58[/C][C]11.2477[/C][C]67.169[/C][/ROW]
[ROW][C]61[/C][C]5101[/C][C]5207.95[/C][C]5175.92[/C][C]32.0301[/C][C]-106.947[/C][/ROW]
[ROW][C]62[/C][C]5162[/C][C]5217.17[/C][C]5197.54[/C][C]19.6319[/C][C]-55.1736[/C][/ROW]
[ROW][C]63[/C][C]5207[/C][C]5186.55[/C][C]5226.29[/C][C]-39.7419[/C][C]20.4502[/C][/ROW]
[ROW][C]64[/C][C]5189[/C][C]5242.73[/C][C]5223.08[/C][C]19.6435[/C][C]-53.7269[/C][/ROW]
[ROW][C]65[/C][C]5258[/C][C]5227.27[/C][C]5220.67[/C][C]6.60706[/C][C]30.7263[/C][/ROW]
[ROW][C]66[/C][C]5211[/C][C]5228.15[/C][C]5240.83[/C][C]-12.6846[/C][C]-17.1487[/C][/ROW]
[ROW][C]67[/C][C]5149[/C][C]5252.68[/C][C]5267.58[/C][C]-14.9005[/C][C]-103.683[/C][/ROW]
[ROW][C]68[/C][C]5259[/C][C]5260.56[/C][C]5291.25[/C][C]-30.6921[/C][C]-1.55787[/C][/ROW]
[ROW][C]69[/C][C]5327[/C][C]5285.79[/C][C]5294.5[/C][C]-8.71065[/C][C]41.2106[/C][/ROW]
[ROW][C]70[/C][C]5248[/C][C]5316.61[/C][C]5301.75[/C][C]14.8588[/C][C]-68.6088[/C][/ROW]
[ROW][C]71[/C][C]5421[/C][C]5316.54[/C][C]5313.83[/C][C]2.71065[/C][C]104.456[/C][/ROW]
[ROW][C]72[/C][C]5476[/C][C]5331.21[/C][C]5319.96[/C][C]11.2477[/C][C]144.794[/C][/ROW]
[ROW][C]73[/C][C]5507[/C][C]5355.49[/C][C]5323.46[/C][C]32.0301[/C][C]151.512[/C][/ROW]
[ROW][C]74[/C][C]5324[/C][C]5341.05[/C][C]5321.42[/C][C]19.6319[/C][C]-17.0486[/C][/ROW]
[ROW][C]75[/C][C]5123[/C][C]5274.72[/C][C]5314.46[/C][C]-39.7419[/C][C]-151.716[/C][/ROW]
[ROW][C]76[/C][C]5447[/C][C]5331.06[/C][C]5311.42[/C][C]19.6435[/C][C]115.94[/C][/ROW]
[ROW][C]77[/C][C]5290[/C][C]5315.82[/C][C]5309.21[/C][C]6.60706[/C][C]-25.8154[/C][/ROW]
[ROW][C]78[/C][C]5326[/C][C]5286.77[/C][C]5299.46[/C][C]-12.6846[/C][C]39.2263[/C][/ROW]
[ROW][C]79[/C][C]5118[/C][C]5277.93[/C][C]5292.83[/C][C]-14.9005[/C][C]-159.933[/C][/ROW]
[ROW][C]80[/C][C]5241[/C][C]5267.6[/C][C]5298.29[/C][C]-30.6921[/C][C]-26.5995[/C][/ROW]
[ROW][C]81[/C][C]5178[/C][C]5310.37[/C][C]5319.08[/C][C]-8.71065[/C][C]-132.373[/C][/ROW]
[ROW][C]82[/C][C]5324[/C][C]5342.65[/C][C]5327.79[/C][C]14.8588[/C][C]-18.6505[/C][/ROW]
[ROW][C]83[/C][C]5292[/C][C]5330.29[/C][C]5327.58[/C][C]2.71065[/C][C]-38.294[/C][/ROW]
[ROW][C]84[/C][C]5371[/C][C]5343.12[/C][C]5331.88[/C][C]11.2477[/C][C]27.8773[/C][/ROW]
[ROW][C]85[/C][C]5453[/C][C]5369.86[/C][C]5337.83[/C][C]32.0301[/C][C]83.1366[/C][/ROW]
[ROW][C]86[/C][C]5509[/C][C]5364.17[/C][C]5344.54[/C][C]19.6319[/C][C]144.826[/C][/ROW]
[ROW][C]87[/C][C]5437[/C][C]5304.38[/C][C]5344.12[/C][C]-39.7419[/C][C]132.617[/C][/ROW]
[ROW][C]88[/C][C]5342[/C][C]5355.56[/C][C]5335.92[/C][C]19.6435[/C][C]-13.5602[/C][/ROW]
[ROW][C]89[/C][C]5390[/C][C]5328.65[/C][C]5322.04[/C][C]6.60706[/C][C]61.3513[/C][/ROW]
[ROW][C]90[/C][C]5329[/C][C]5288.02[/C][C]5300.71[/C][C]-12.6846[/C][C]40.9763[/C][/ROW]
[ROW][C]91[/C][C]5258[/C][C]5249.1[/C][C]5264[/C][C]-14.9005[/C][C]8.90046[/C][/ROW]
[ROW][C]92[/C][C]5262[/C][C]5183.72[/C][C]5214.42[/C][C]-30.6921[/C][C]78.2755[/C][/ROW]
[ROW][C]93[/C][C]5147[/C][C]5146.41[/C][C]5155.12[/C][C]-8.71065[/C][C]0.585648[/C][/ROW]
[ROW][C]94[/C][C]5158[/C][C]5118.86[/C][C]5104[/C][C]14.8588[/C][C]39.1412[/C][/ROW]
[ROW][C]95[/C][C]5125[/C][C]5068.17[/C][C]5065.46[/C][C]2.71065[/C][C]56.831[/C][/ROW]
[ROW][C]96[/C][C]5026[/C][C]5042.75[/C][C]5031.5[/C][C]11.2477[/C][C]-16.7477[/C][/ROW]
[ROW][C]97[/C][C]4917[/C][C]5044.45[/C][C]5012.42[/C][C]32.0301[/C][C]-127.447[/C][/ROW]
[ROW][C]98[/C][C]4855[/C][C]5018.72[/C][C]4999.08[/C][C]19.6319[/C][C]-163.715[/C][/ROW]
[ROW][C]99[/C][C]4668[/C][C]4947.01[/C][C]4986.75[/C][C]-39.7419[/C][C]-279.008[/C][/ROW]
[ROW][C]100[/C][C]4884[/C][C]4996.02[/C][C]4976.38[/C][C]19.6435[/C][C]-112.019[/C][/ROW]
[ROW][C]101[/C][C]4923[/C][C]4973.4[/C][C]4966.79[/C][C]6.60706[/C][C]-50.3987[/C][/ROW]
[ROW][C]102[/C][C]4981[/C][C]4950.61[/C][C]4963.29[/C][C]-12.6846[/C][C]30.3929[/C][/ROW]
[ROW][C]103[/C][C]5148[/C][C]4957.18[/C][C]4972.08[/C][C]-14.9005[/C][C]190.817[/C][/ROW]
[ROW][C]104[/C][C]5052[/C][C]4964.72[/C][C]4995.42[/C][C]-30.6921[/C][C]87.2755[/C][/ROW]
[ROW][C]105[/C][C]5061[/C][C]5028[/C][C]5036.71[/C][C]-8.71065[/C][C]33.0023[/C][/ROW]
[ROW][C]106[/C][C]4995[/C][C]5101.28[/C][C]5086.42[/C][C]14.8588[/C][C]-106.275[/C][/ROW]
[ROW][C]107[/C][C]5058[/C][C]5134.67[/C][C]5131.96[/C][C]2.71065[/C][C]-76.669[/C][/ROW]
[ROW][C]108[/C][C]5009[/C][C]5191.58[/C][C]5180.33[/C][C]11.2477[/C][C]-182.581[/C][/ROW]
[ROW][C]109[/C][C]5145[/C][C]5261.91[/C][C]5229.88[/C][C]32.0301[/C][C]-116.905[/C][/ROW]
[ROW][C]110[/C][C]5187[/C][C]5299.67[/C][C]5280.04[/C][C]19.6319[/C][C]-112.674[/C][/ROW]
[ROW][C]111[/C][C]5327[/C][C]NA[/C][C]NA[/C][C]-39.7419[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5418[/C][C]NA[/C][C]NA[/C][C]19.6435[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5482[/C][C]NA[/C][C]NA[/C][C]6.60706[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5583[/C][C]NA[/C][C]NA[/C][C]-12.6846[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5735[/C][C]NA[/C][C]NA[/C][C]-14.9005[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5669[/C][C]NA[/C][C]NA[/C][C]-30.6921[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298649&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298649&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
13891NANA32.0301NA
23702NANA19.6319NA
33712NANA-39.7419NA
43796NANA19.6435NA
53856NANA6.60706NA
63989NANA-12.6846NA
739223972.893987.79-14.9005-50.8912
840844002.774033.46-30.692181.2338
941694081.964090.67-8.7106587.044
1041614152.324137.4614.85888.68287
11420541824179.292.7106522.9977
1241984226.54215.2511.2477-28.4977
1342284284.574252.5432.0301-56.5718
1444614312.264292.6219.6319148.743
1543264281.554321.29-39.741944.4502
1643054365.894346.2519.6435-60.8935
1743514381.6143756.60706-30.6071
1843574395.824408.5-12.6846-38.8154
1944494422.774437.67-14.900526.2338
2045194419.274449.96-30.692199.7338
2144224452.794461.5-8.71065-30.7894
2245074500.234485.3814.85886.7662
2345494514.754512.042.7106534.2477
2446584549.044537.7911.2477108.961
2544684595.414563.3832.0301-127.405
2645164602.514582.8819.6319-86.5069
2745484563.34603.04-39.7419-15.2998
2846564639.484619.8319.643516.5231
2946404638.274631.676.607061.72627
3046864632.114644.79-12.684653.8929
3147344662.224677.12-14.900571.7755
3247024686.774717.46-30.692115.2338
3347234735.914744.62-8.71065-12.9144
3446094786.44771.5414.8588-177.4
3547314801.424798.712.71065-70.419
3647914835.54824.2511.2477-44.4977
3751114876.414844.3732.0301234.595
3848414879.094859.4619.6319-38.0903
3948754837.054876.79-39.741937.9502
4049754919.14899.4619.643555.8981
4149734926.074919.466.6070646.9346
4249664920.194932.88-12.684645.8096
4349374922.394937.29-14.900514.6088
4448614920.314951-30.6921-59.3079
4549804969.214977.92-8.7106510.794
4648965010.324995.4614.8588-114.317
4749245006.295003.582.71065-82.294
4849205015.965004.7111.2477-95.956
4950885041.455009.4232.030146.5532
5051935032.845013.2119.6319160.16
5151694975.765015.5-39.7419193.242
5251025067.485047.8319.643534.5231
5350415092.235085.626.60706-51.2321
5449255096.655109.33-12.6846-171.649
5550915108.315123.21-14.9005-17.3079
5647985091.775122.46-30.6921-293.766
5750985114.045122.75-8.71065-16.0394
5855545142.825127.9614.8588411.183
5951735143.345140.632.7106529.6644
6052405172.835161.5811.247767.169
6151015207.955175.9232.0301-106.947
6251625217.175197.5419.6319-55.1736
6352075186.555226.29-39.741920.4502
6451895242.735223.0819.6435-53.7269
6552585227.275220.676.6070630.7263
6652115228.155240.83-12.6846-17.1487
6751495252.685267.58-14.9005-103.683
6852595260.565291.25-30.6921-1.55787
6953275285.795294.5-8.7106541.2106
7052485316.615301.7514.8588-68.6088
7154215316.545313.832.71065104.456
7254765331.215319.9611.2477144.794
7355075355.495323.4632.0301151.512
7453245341.055321.4219.6319-17.0486
7551235274.725314.46-39.7419-151.716
7654475331.065311.4219.6435115.94
7752905315.825309.216.60706-25.8154
7853265286.775299.46-12.684639.2263
7951185277.935292.83-14.9005-159.933
8052415267.65298.29-30.6921-26.5995
8151785310.375319.08-8.71065-132.373
8253245342.655327.7914.8588-18.6505
8352925330.295327.582.71065-38.294
8453715343.125331.8811.247727.8773
8554535369.865337.8332.030183.1366
8655095364.175344.5419.6319144.826
8754375304.385344.12-39.7419132.617
8853425355.565335.9219.6435-13.5602
8953905328.655322.046.6070661.3513
9053295288.025300.71-12.684640.9763
9152585249.15264-14.90058.90046
9252625183.725214.42-30.692178.2755
9351475146.415155.12-8.710650.585648
9451585118.86510414.858839.1412
9551255068.175065.462.7106556.831
9650265042.755031.511.2477-16.7477
9749175044.455012.4232.0301-127.447
9848555018.724999.0819.6319-163.715
9946684947.014986.75-39.7419-279.008
10048844996.024976.3819.6435-112.019
10149234973.44966.796.60706-50.3987
10249814950.614963.29-12.684630.3929
10351484957.184972.08-14.9005190.817
10450524964.724995.42-30.692187.2755
105506150285036.71-8.7106533.0023
10649955101.285086.4214.8588-106.275
10750585134.675131.962.71065-76.669
10850095191.585180.3311.2477-182.581
10951455261.915229.8832.0301-116.905
11051875299.675280.0419.6319-112.674
1115327NANA-39.7419NA
1125418NANA19.6435NA
1135482NANA6.60706NA
1145583NANA-12.6846NA
1155735NANA-14.9005NA
1165669NANA-30.6921NA



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')