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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 computationWed, 07 Dec 2016 11:09:17 +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/07/t14811053828mm9x6272jb7z2p.htm/, Retrieved Tue, 07 May 2024 13:18:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297952, Retrieved Tue, 07 May 2024 13:18:51 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2016-12-07 10:09:17] [6b2845a830bced35782aaf33b6e68e42] [Current]
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Dataseries X:
3665
3790
3870
3885
3955
4100
4000
4190
4360
4360
4255
4110
4195
4345
4405
4400
4435
4595
4445
4605
4675
4635
4510
4345
4340
4485
4535
4535
4570
4690
4510
4695
4775
4690
4635
4495
4540
4635
4600
4650
4650
4780
4635
4830
4895
4885
4780
4695
4645
4840
4885
4880
4945
5145
4965
5150
5210
5225
5110
5000
4990
5110
5140
5170
5185
5345
5170
5375
5430
5400
5300
5195
5215
5275
5295
5360
5325
5480
5210
5430
5455
5385
5260
5135
5110
5255
5300
5210
5300
5470
5255
5470
5520
5445
5230
5075
5015
5055
5010
5075
5115
5320
5145
5355
5440
5390
5230
5075
5050
5185
5250
5250
5325
5465
5290
5500




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297952&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=297952&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297952&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13665NANA-167.031NA
23790NANA-58.5127NA
33870NANA-44.0104NA
43885NANA-41.25NA
53955NANA-21.0677NA
64100NANA131.328NA
740004002.24067.08-64.8785-2.20486
841904230.654112.29118.362-40.6539
943604336.564157.71178.84823.4433
1043604329.274201.46127.80730.735
1142554235.284242.92-7.633119.7164
1241104131.584283.54-151.962-21.5799
1341954155.684322.71-167.03139.3229
1443454300.034358.54-58.512744.9711
1544054344.954388.96-44.010460.0521
1644004372.294413.54-41.2527.7083
1744354414.564435.63-21.067720.4427
1845954587.374456.04131.3287.63021
19444544074471.88-64.878538.0035
2046054602.114483.75118.3622.88773
2146754673.854495178.8481.15162
2246354633.854506.04127.8071.15162
2345104509.664517.29-7.63310.341435
2443454374.914526.88-151.962-29.9132
2543404366.514533.54-167.031-26.5104
2644854481.494540-58.51273.51273
2745354503.914547.92-44.010431.0938
2845354513.124554.37-41.2521.875
2945704540.814561.88-21.067729.1927
3046904704.664573.33131.328-14.6615
3145104523.044587.92-64.8785-13.0382
3246954720.864602.5118.362-25.8623
3347754790.314611.46178.848-15.3067
3446904746.774618.96127.807-56.765
3546354619.454627.08-7.633115.5498
3644954482.24634.17-151.96212.7951
3745404476.094643.13-167.03163.9062
3846354595.454653.96-58.512739.5544
3946004620.574664.58-44.0104-20.5729
4046504636.464677.71-41.2513.5417
4146504670.814691.88-21.0677-20.8073
4247804837.584706.25131.328-57.5781
4346354654.084718.96-64.8785-19.0799
4448304850.244731.87118.362-20.2373
4548954931.144752.29178.848-36.14
4648854901.564773.75127.807-16.5567
4747804787.994795.62-7.6331-7.9919
4846954671.164823.13-151.96223.8368
4946454685.054852.08-167.031-40.0521
5048404820.654879.17-58.512719.3461
5148854861.614905.62-44.010423.3854
5248804891.674932.92-41.25-11.6667
5349454939.774960.83-21.06775.23438
5451455118.624987.29131.32826.3802
5549654949.55014.37-64.878515.5035
5651505158.365040118.362-8.36227
5752105240.725061.88178.848-30.7234
5852255212.395084.58127.80712.61
5951105099.035106.67-7.633110.9664
6050004973.045125-151.96226.9618
6149904974.845141.88-167.03115.1562
6251105101.285159.79-58.51278.72106
6351405134.325178.33-44.01045.67708
6451705153.545194.79-41.2516.4583
6551855188.935210-21.0677-3.93229
6653455357.375226.04131.328-12.3698
6751705178.665243.54-64.8785-8.66319
6853755378.155259.79118.362-3.15394
6954305451.975273.12178.848-21.9734
7054005415.315287.5127.807-15.3067
7153005293.625301.25-7.63316.3831
7251955160.755312.71-151.96234.2535
7352155152.975320-167.03162.0312
7452755265.455323.96-58.51279.5544
7552955283.285327.29-44.010411.7188
7653605286.465327.71-41.2573.5417
7753255304.355325.42-21.067720.651
7854805452.585321.25131.32827.4219
7952105249.55314.38-64.8785-39.4965
8054305427.535309.17118.3622.47106
8154555487.395308.54178.848-32.39
8253855430.315302.5127.807-45.3067
8352605287.585295.21-7.6331-27.5752
8451355141.795293.75-151.962-6.78819
8551105128.185295.21-167.031-18.1771
8652555240.245298.75-58.512714.7627
8753005259.115303.12-44.010440.8854
8852105267.085308.33-41.25-57.0833
8953005288.525309.58-21.067711.4844
9054705437.165305.83131.32832.8385
9152555234.55299.38-64.878520.5035
9254705405.455287.08118.36264.5544
9355205445.525266.67178.84874.485
9454455376.775248.96127.80768.235
9552305227.995235.62-7.63312.0081
9650755069.75221.67-151.9625.29514
9750155043.85210.83-167.031-28.8021
9850555142.955201.46-58.5127-87.9456
9950105149.325193.33-44.0104-139.323
10050755146.465187.71-41.25-71.4583
10151155164.355185.42-21.0677-49.349
10253205316.745185.42131.3283.25521
103514551225186.87-64.878523.0035
10453555312.115193.75118.36242.8877
10554405388.025209.17178.84851.985
10653905354.275226.46127.80735.735
10752305234.875242.5-7.6331-4.8669
10850755105.335257.29-151.962-30.3299
10950505102.345269.38-167.031-52.3438
11051855222.955281.46-58.5127-37.9456
1115250NANA-44.0104NA
1125250NANA-41.25NA
1135325NANA-21.0677NA
1145465NANA131.328NA
1155290NANA-64.8785NA
1165500NANA118.362NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3665 & NA & NA & -167.031 & NA \tabularnewline
2 & 3790 & NA & NA & -58.5127 & NA \tabularnewline
3 & 3870 & NA & NA & -44.0104 & NA \tabularnewline
4 & 3885 & NA & NA & -41.25 & NA \tabularnewline
5 & 3955 & NA & NA & -21.0677 & NA \tabularnewline
6 & 4100 & NA & NA & 131.328 & NA \tabularnewline
7 & 4000 & 4002.2 & 4067.08 & -64.8785 & -2.20486 \tabularnewline
8 & 4190 & 4230.65 & 4112.29 & 118.362 & -40.6539 \tabularnewline
9 & 4360 & 4336.56 & 4157.71 & 178.848 & 23.4433 \tabularnewline
10 & 4360 & 4329.27 & 4201.46 & 127.807 & 30.735 \tabularnewline
11 & 4255 & 4235.28 & 4242.92 & -7.6331 & 19.7164 \tabularnewline
12 & 4110 & 4131.58 & 4283.54 & -151.962 & -21.5799 \tabularnewline
13 & 4195 & 4155.68 & 4322.71 & -167.031 & 39.3229 \tabularnewline
14 & 4345 & 4300.03 & 4358.54 & -58.5127 & 44.9711 \tabularnewline
15 & 4405 & 4344.95 & 4388.96 & -44.0104 & 60.0521 \tabularnewline
16 & 4400 & 4372.29 & 4413.54 & -41.25 & 27.7083 \tabularnewline
17 & 4435 & 4414.56 & 4435.63 & -21.0677 & 20.4427 \tabularnewline
18 & 4595 & 4587.37 & 4456.04 & 131.328 & 7.63021 \tabularnewline
19 & 4445 & 4407 & 4471.88 & -64.8785 & 38.0035 \tabularnewline
20 & 4605 & 4602.11 & 4483.75 & 118.362 & 2.88773 \tabularnewline
21 & 4675 & 4673.85 & 4495 & 178.848 & 1.15162 \tabularnewline
22 & 4635 & 4633.85 & 4506.04 & 127.807 & 1.15162 \tabularnewline
23 & 4510 & 4509.66 & 4517.29 & -7.6331 & 0.341435 \tabularnewline
24 & 4345 & 4374.91 & 4526.88 & -151.962 & -29.9132 \tabularnewline
25 & 4340 & 4366.51 & 4533.54 & -167.031 & -26.5104 \tabularnewline
26 & 4485 & 4481.49 & 4540 & -58.5127 & 3.51273 \tabularnewline
27 & 4535 & 4503.91 & 4547.92 & -44.0104 & 31.0938 \tabularnewline
28 & 4535 & 4513.12 & 4554.37 & -41.25 & 21.875 \tabularnewline
29 & 4570 & 4540.81 & 4561.88 & -21.0677 & 29.1927 \tabularnewline
30 & 4690 & 4704.66 & 4573.33 & 131.328 & -14.6615 \tabularnewline
31 & 4510 & 4523.04 & 4587.92 & -64.8785 & -13.0382 \tabularnewline
32 & 4695 & 4720.86 & 4602.5 & 118.362 & -25.8623 \tabularnewline
33 & 4775 & 4790.31 & 4611.46 & 178.848 & -15.3067 \tabularnewline
34 & 4690 & 4746.77 & 4618.96 & 127.807 & -56.765 \tabularnewline
35 & 4635 & 4619.45 & 4627.08 & -7.6331 & 15.5498 \tabularnewline
36 & 4495 & 4482.2 & 4634.17 & -151.962 & 12.7951 \tabularnewline
37 & 4540 & 4476.09 & 4643.13 & -167.031 & 63.9062 \tabularnewline
38 & 4635 & 4595.45 & 4653.96 & -58.5127 & 39.5544 \tabularnewline
39 & 4600 & 4620.57 & 4664.58 & -44.0104 & -20.5729 \tabularnewline
40 & 4650 & 4636.46 & 4677.71 & -41.25 & 13.5417 \tabularnewline
41 & 4650 & 4670.81 & 4691.88 & -21.0677 & -20.8073 \tabularnewline
42 & 4780 & 4837.58 & 4706.25 & 131.328 & -57.5781 \tabularnewline
43 & 4635 & 4654.08 & 4718.96 & -64.8785 & -19.0799 \tabularnewline
44 & 4830 & 4850.24 & 4731.87 & 118.362 & -20.2373 \tabularnewline
45 & 4895 & 4931.14 & 4752.29 & 178.848 & -36.14 \tabularnewline
46 & 4885 & 4901.56 & 4773.75 & 127.807 & -16.5567 \tabularnewline
47 & 4780 & 4787.99 & 4795.62 & -7.6331 & -7.9919 \tabularnewline
48 & 4695 & 4671.16 & 4823.13 & -151.962 & 23.8368 \tabularnewline
49 & 4645 & 4685.05 & 4852.08 & -167.031 & -40.0521 \tabularnewline
50 & 4840 & 4820.65 & 4879.17 & -58.5127 & 19.3461 \tabularnewline
51 & 4885 & 4861.61 & 4905.62 & -44.0104 & 23.3854 \tabularnewline
52 & 4880 & 4891.67 & 4932.92 & -41.25 & -11.6667 \tabularnewline
53 & 4945 & 4939.77 & 4960.83 & -21.0677 & 5.23438 \tabularnewline
54 & 5145 & 5118.62 & 4987.29 & 131.328 & 26.3802 \tabularnewline
55 & 4965 & 4949.5 & 5014.37 & -64.8785 & 15.5035 \tabularnewline
56 & 5150 & 5158.36 & 5040 & 118.362 & -8.36227 \tabularnewline
57 & 5210 & 5240.72 & 5061.88 & 178.848 & -30.7234 \tabularnewline
58 & 5225 & 5212.39 & 5084.58 & 127.807 & 12.61 \tabularnewline
59 & 5110 & 5099.03 & 5106.67 & -7.6331 & 10.9664 \tabularnewline
60 & 5000 & 4973.04 & 5125 & -151.962 & 26.9618 \tabularnewline
61 & 4990 & 4974.84 & 5141.88 & -167.031 & 15.1562 \tabularnewline
62 & 5110 & 5101.28 & 5159.79 & -58.5127 & 8.72106 \tabularnewline
63 & 5140 & 5134.32 & 5178.33 & -44.0104 & 5.67708 \tabularnewline
64 & 5170 & 5153.54 & 5194.79 & -41.25 & 16.4583 \tabularnewline
65 & 5185 & 5188.93 & 5210 & -21.0677 & -3.93229 \tabularnewline
66 & 5345 & 5357.37 & 5226.04 & 131.328 & -12.3698 \tabularnewline
67 & 5170 & 5178.66 & 5243.54 & -64.8785 & -8.66319 \tabularnewline
68 & 5375 & 5378.15 & 5259.79 & 118.362 & -3.15394 \tabularnewline
69 & 5430 & 5451.97 & 5273.12 & 178.848 & -21.9734 \tabularnewline
70 & 5400 & 5415.31 & 5287.5 & 127.807 & -15.3067 \tabularnewline
71 & 5300 & 5293.62 & 5301.25 & -7.6331 & 6.3831 \tabularnewline
72 & 5195 & 5160.75 & 5312.71 & -151.962 & 34.2535 \tabularnewline
73 & 5215 & 5152.97 & 5320 & -167.031 & 62.0312 \tabularnewline
74 & 5275 & 5265.45 & 5323.96 & -58.5127 & 9.5544 \tabularnewline
75 & 5295 & 5283.28 & 5327.29 & -44.0104 & 11.7188 \tabularnewline
76 & 5360 & 5286.46 & 5327.71 & -41.25 & 73.5417 \tabularnewline
77 & 5325 & 5304.35 & 5325.42 & -21.0677 & 20.651 \tabularnewline
78 & 5480 & 5452.58 & 5321.25 & 131.328 & 27.4219 \tabularnewline
79 & 5210 & 5249.5 & 5314.38 & -64.8785 & -39.4965 \tabularnewline
80 & 5430 & 5427.53 & 5309.17 & 118.362 & 2.47106 \tabularnewline
81 & 5455 & 5487.39 & 5308.54 & 178.848 & -32.39 \tabularnewline
82 & 5385 & 5430.31 & 5302.5 & 127.807 & -45.3067 \tabularnewline
83 & 5260 & 5287.58 & 5295.21 & -7.6331 & -27.5752 \tabularnewline
84 & 5135 & 5141.79 & 5293.75 & -151.962 & -6.78819 \tabularnewline
85 & 5110 & 5128.18 & 5295.21 & -167.031 & -18.1771 \tabularnewline
86 & 5255 & 5240.24 & 5298.75 & -58.5127 & 14.7627 \tabularnewline
87 & 5300 & 5259.11 & 5303.12 & -44.0104 & 40.8854 \tabularnewline
88 & 5210 & 5267.08 & 5308.33 & -41.25 & -57.0833 \tabularnewline
89 & 5300 & 5288.52 & 5309.58 & -21.0677 & 11.4844 \tabularnewline
90 & 5470 & 5437.16 & 5305.83 & 131.328 & 32.8385 \tabularnewline
91 & 5255 & 5234.5 & 5299.38 & -64.8785 & 20.5035 \tabularnewline
92 & 5470 & 5405.45 & 5287.08 & 118.362 & 64.5544 \tabularnewline
93 & 5520 & 5445.52 & 5266.67 & 178.848 & 74.485 \tabularnewline
94 & 5445 & 5376.77 & 5248.96 & 127.807 & 68.235 \tabularnewline
95 & 5230 & 5227.99 & 5235.62 & -7.6331 & 2.0081 \tabularnewline
96 & 5075 & 5069.7 & 5221.67 & -151.962 & 5.29514 \tabularnewline
97 & 5015 & 5043.8 & 5210.83 & -167.031 & -28.8021 \tabularnewline
98 & 5055 & 5142.95 & 5201.46 & -58.5127 & -87.9456 \tabularnewline
99 & 5010 & 5149.32 & 5193.33 & -44.0104 & -139.323 \tabularnewline
100 & 5075 & 5146.46 & 5187.71 & -41.25 & -71.4583 \tabularnewline
101 & 5115 & 5164.35 & 5185.42 & -21.0677 & -49.349 \tabularnewline
102 & 5320 & 5316.74 & 5185.42 & 131.328 & 3.25521 \tabularnewline
103 & 5145 & 5122 & 5186.87 & -64.8785 & 23.0035 \tabularnewline
104 & 5355 & 5312.11 & 5193.75 & 118.362 & 42.8877 \tabularnewline
105 & 5440 & 5388.02 & 5209.17 & 178.848 & 51.985 \tabularnewline
106 & 5390 & 5354.27 & 5226.46 & 127.807 & 35.735 \tabularnewline
107 & 5230 & 5234.87 & 5242.5 & -7.6331 & -4.8669 \tabularnewline
108 & 5075 & 5105.33 & 5257.29 & -151.962 & -30.3299 \tabularnewline
109 & 5050 & 5102.34 & 5269.38 & -167.031 & -52.3438 \tabularnewline
110 & 5185 & 5222.95 & 5281.46 & -58.5127 & -37.9456 \tabularnewline
111 & 5250 & NA & NA & -44.0104 & NA \tabularnewline
112 & 5250 & NA & NA & -41.25 & NA \tabularnewline
113 & 5325 & NA & NA & -21.0677 & NA \tabularnewline
114 & 5465 & NA & NA & 131.328 & NA \tabularnewline
115 & 5290 & NA & NA & -64.8785 & NA \tabularnewline
116 & 5500 & NA & NA & 118.362 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297952&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]3665[/C][C]NA[/C][C]NA[/C][C]-167.031[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3790[/C][C]NA[/C][C]NA[/C][C]-58.5127[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3870[/C][C]NA[/C][C]NA[/C][C]-44.0104[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3885[/C][C]NA[/C][C]NA[/C][C]-41.25[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3955[/C][C]NA[/C][C]NA[/C][C]-21.0677[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4100[/C][C]NA[/C][C]NA[/C][C]131.328[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4000[/C][C]4002.2[/C][C]4067.08[/C][C]-64.8785[/C][C]-2.20486[/C][/ROW]
[ROW][C]8[/C][C]4190[/C][C]4230.65[/C][C]4112.29[/C][C]118.362[/C][C]-40.6539[/C][/ROW]
[ROW][C]9[/C][C]4360[/C][C]4336.56[/C][C]4157.71[/C][C]178.848[/C][C]23.4433[/C][/ROW]
[ROW][C]10[/C][C]4360[/C][C]4329.27[/C][C]4201.46[/C][C]127.807[/C][C]30.735[/C][/ROW]
[ROW][C]11[/C][C]4255[/C][C]4235.28[/C][C]4242.92[/C][C]-7.6331[/C][C]19.7164[/C][/ROW]
[ROW][C]12[/C][C]4110[/C][C]4131.58[/C][C]4283.54[/C][C]-151.962[/C][C]-21.5799[/C][/ROW]
[ROW][C]13[/C][C]4195[/C][C]4155.68[/C][C]4322.71[/C][C]-167.031[/C][C]39.3229[/C][/ROW]
[ROW][C]14[/C][C]4345[/C][C]4300.03[/C][C]4358.54[/C][C]-58.5127[/C][C]44.9711[/C][/ROW]
[ROW][C]15[/C][C]4405[/C][C]4344.95[/C][C]4388.96[/C][C]-44.0104[/C][C]60.0521[/C][/ROW]
[ROW][C]16[/C][C]4400[/C][C]4372.29[/C][C]4413.54[/C][C]-41.25[/C][C]27.7083[/C][/ROW]
[ROW][C]17[/C][C]4435[/C][C]4414.56[/C][C]4435.63[/C][C]-21.0677[/C][C]20.4427[/C][/ROW]
[ROW][C]18[/C][C]4595[/C][C]4587.37[/C][C]4456.04[/C][C]131.328[/C][C]7.63021[/C][/ROW]
[ROW][C]19[/C][C]4445[/C][C]4407[/C][C]4471.88[/C][C]-64.8785[/C][C]38.0035[/C][/ROW]
[ROW][C]20[/C][C]4605[/C][C]4602.11[/C][C]4483.75[/C][C]118.362[/C][C]2.88773[/C][/ROW]
[ROW][C]21[/C][C]4675[/C][C]4673.85[/C][C]4495[/C][C]178.848[/C][C]1.15162[/C][/ROW]
[ROW][C]22[/C][C]4635[/C][C]4633.85[/C][C]4506.04[/C][C]127.807[/C][C]1.15162[/C][/ROW]
[ROW][C]23[/C][C]4510[/C][C]4509.66[/C][C]4517.29[/C][C]-7.6331[/C][C]0.341435[/C][/ROW]
[ROW][C]24[/C][C]4345[/C][C]4374.91[/C][C]4526.88[/C][C]-151.962[/C][C]-29.9132[/C][/ROW]
[ROW][C]25[/C][C]4340[/C][C]4366.51[/C][C]4533.54[/C][C]-167.031[/C][C]-26.5104[/C][/ROW]
[ROW][C]26[/C][C]4485[/C][C]4481.49[/C][C]4540[/C][C]-58.5127[/C][C]3.51273[/C][/ROW]
[ROW][C]27[/C][C]4535[/C][C]4503.91[/C][C]4547.92[/C][C]-44.0104[/C][C]31.0938[/C][/ROW]
[ROW][C]28[/C][C]4535[/C][C]4513.12[/C][C]4554.37[/C][C]-41.25[/C][C]21.875[/C][/ROW]
[ROW][C]29[/C][C]4570[/C][C]4540.81[/C][C]4561.88[/C][C]-21.0677[/C][C]29.1927[/C][/ROW]
[ROW][C]30[/C][C]4690[/C][C]4704.66[/C][C]4573.33[/C][C]131.328[/C][C]-14.6615[/C][/ROW]
[ROW][C]31[/C][C]4510[/C][C]4523.04[/C][C]4587.92[/C][C]-64.8785[/C][C]-13.0382[/C][/ROW]
[ROW][C]32[/C][C]4695[/C][C]4720.86[/C][C]4602.5[/C][C]118.362[/C][C]-25.8623[/C][/ROW]
[ROW][C]33[/C][C]4775[/C][C]4790.31[/C][C]4611.46[/C][C]178.848[/C][C]-15.3067[/C][/ROW]
[ROW][C]34[/C][C]4690[/C][C]4746.77[/C][C]4618.96[/C][C]127.807[/C][C]-56.765[/C][/ROW]
[ROW][C]35[/C][C]4635[/C][C]4619.45[/C][C]4627.08[/C][C]-7.6331[/C][C]15.5498[/C][/ROW]
[ROW][C]36[/C][C]4495[/C][C]4482.2[/C][C]4634.17[/C][C]-151.962[/C][C]12.7951[/C][/ROW]
[ROW][C]37[/C][C]4540[/C][C]4476.09[/C][C]4643.13[/C][C]-167.031[/C][C]63.9062[/C][/ROW]
[ROW][C]38[/C][C]4635[/C][C]4595.45[/C][C]4653.96[/C][C]-58.5127[/C][C]39.5544[/C][/ROW]
[ROW][C]39[/C][C]4600[/C][C]4620.57[/C][C]4664.58[/C][C]-44.0104[/C][C]-20.5729[/C][/ROW]
[ROW][C]40[/C][C]4650[/C][C]4636.46[/C][C]4677.71[/C][C]-41.25[/C][C]13.5417[/C][/ROW]
[ROW][C]41[/C][C]4650[/C][C]4670.81[/C][C]4691.88[/C][C]-21.0677[/C][C]-20.8073[/C][/ROW]
[ROW][C]42[/C][C]4780[/C][C]4837.58[/C][C]4706.25[/C][C]131.328[/C][C]-57.5781[/C][/ROW]
[ROW][C]43[/C][C]4635[/C][C]4654.08[/C][C]4718.96[/C][C]-64.8785[/C][C]-19.0799[/C][/ROW]
[ROW][C]44[/C][C]4830[/C][C]4850.24[/C][C]4731.87[/C][C]118.362[/C][C]-20.2373[/C][/ROW]
[ROW][C]45[/C][C]4895[/C][C]4931.14[/C][C]4752.29[/C][C]178.848[/C][C]-36.14[/C][/ROW]
[ROW][C]46[/C][C]4885[/C][C]4901.56[/C][C]4773.75[/C][C]127.807[/C][C]-16.5567[/C][/ROW]
[ROW][C]47[/C][C]4780[/C][C]4787.99[/C][C]4795.62[/C][C]-7.6331[/C][C]-7.9919[/C][/ROW]
[ROW][C]48[/C][C]4695[/C][C]4671.16[/C][C]4823.13[/C][C]-151.962[/C][C]23.8368[/C][/ROW]
[ROW][C]49[/C][C]4645[/C][C]4685.05[/C][C]4852.08[/C][C]-167.031[/C][C]-40.0521[/C][/ROW]
[ROW][C]50[/C][C]4840[/C][C]4820.65[/C][C]4879.17[/C][C]-58.5127[/C][C]19.3461[/C][/ROW]
[ROW][C]51[/C][C]4885[/C][C]4861.61[/C][C]4905.62[/C][C]-44.0104[/C][C]23.3854[/C][/ROW]
[ROW][C]52[/C][C]4880[/C][C]4891.67[/C][C]4932.92[/C][C]-41.25[/C][C]-11.6667[/C][/ROW]
[ROW][C]53[/C][C]4945[/C][C]4939.77[/C][C]4960.83[/C][C]-21.0677[/C][C]5.23438[/C][/ROW]
[ROW][C]54[/C][C]5145[/C][C]5118.62[/C][C]4987.29[/C][C]131.328[/C][C]26.3802[/C][/ROW]
[ROW][C]55[/C][C]4965[/C][C]4949.5[/C][C]5014.37[/C][C]-64.8785[/C][C]15.5035[/C][/ROW]
[ROW][C]56[/C][C]5150[/C][C]5158.36[/C][C]5040[/C][C]118.362[/C][C]-8.36227[/C][/ROW]
[ROW][C]57[/C][C]5210[/C][C]5240.72[/C][C]5061.88[/C][C]178.848[/C][C]-30.7234[/C][/ROW]
[ROW][C]58[/C][C]5225[/C][C]5212.39[/C][C]5084.58[/C][C]127.807[/C][C]12.61[/C][/ROW]
[ROW][C]59[/C][C]5110[/C][C]5099.03[/C][C]5106.67[/C][C]-7.6331[/C][C]10.9664[/C][/ROW]
[ROW][C]60[/C][C]5000[/C][C]4973.04[/C][C]5125[/C][C]-151.962[/C][C]26.9618[/C][/ROW]
[ROW][C]61[/C][C]4990[/C][C]4974.84[/C][C]5141.88[/C][C]-167.031[/C][C]15.1562[/C][/ROW]
[ROW][C]62[/C][C]5110[/C][C]5101.28[/C][C]5159.79[/C][C]-58.5127[/C][C]8.72106[/C][/ROW]
[ROW][C]63[/C][C]5140[/C][C]5134.32[/C][C]5178.33[/C][C]-44.0104[/C][C]5.67708[/C][/ROW]
[ROW][C]64[/C][C]5170[/C][C]5153.54[/C][C]5194.79[/C][C]-41.25[/C][C]16.4583[/C][/ROW]
[ROW][C]65[/C][C]5185[/C][C]5188.93[/C][C]5210[/C][C]-21.0677[/C][C]-3.93229[/C][/ROW]
[ROW][C]66[/C][C]5345[/C][C]5357.37[/C][C]5226.04[/C][C]131.328[/C][C]-12.3698[/C][/ROW]
[ROW][C]67[/C][C]5170[/C][C]5178.66[/C][C]5243.54[/C][C]-64.8785[/C][C]-8.66319[/C][/ROW]
[ROW][C]68[/C][C]5375[/C][C]5378.15[/C][C]5259.79[/C][C]118.362[/C][C]-3.15394[/C][/ROW]
[ROW][C]69[/C][C]5430[/C][C]5451.97[/C][C]5273.12[/C][C]178.848[/C][C]-21.9734[/C][/ROW]
[ROW][C]70[/C][C]5400[/C][C]5415.31[/C][C]5287.5[/C][C]127.807[/C][C]-15.3067[/C][/ROW]
[ROW][C]71[/C][C]5300[/C][C]5293.62[/C][C]5301.25[/C][C]-7.6331[/C][C]6.3831[/C][/ROW]
[ROW][C]72[/C][C]5195[/C][C]5160.75[/C][C]5312.71[/C][C]-151.962[/C][C]34.2535[/C][/ROW]
[ROW][C]73[/C][C]5215[/C][C]5152.97[/C][C]5320[/C][C]-167.031[/C][C]62.0312[/C][/ROW]
[ROW][C]74[/C][C]5275[/C][C]5265.45[/C][C]5323.96[/C][C]-58.5127[/C][C]9.5544[/C][/ROW]
[ROW][C]75[/C][C]5295[/C][C]5283.28[/C][C]5327.29[/C][C]-44.0104[/C][C]11.7188[/C][/ROW]
[ROW][C]76[/C][C]5360[/C][C]5286.46[/C][C]5327.71[/C][C]-41.25[/C][C]73.5417[/C][/ROW]
[ROW][C]77[/C][C]5325[/C][C]5304.35[/C][C]5325.42[/C][C]-21.0677[/C][C]20.651[/C][/ROW]
[ROW][C]78[/C][C]5480[/C][C]5452.58[/C][C]5321.25[/C][C]131.328[/C][C]27.4219[/C][/ROW]
[ROW][C]79[/C][C]5210[/C][C]5249.5[/C][C]5314.38[/C][C]-64.8785[/C][C]-39.4965[/C][/ROW]
[ROW][C]80[/C][C]5430[/C][C]5427.53[/C][C]5309.17[/C][C]118.362[/C][C]2.47106[/C][/ROW]
[ROW][C]81[/C][C]5455[/C][C]5487.39[/C][C]5308.54[/C][C]178.848[/C][C]-32.39[/C][/ROW]
[ROW][C]82[/C][C]5385[/C][C]5430.31[/C][C]5302.5[/C][C]127.807[/C][C]-45.3067[/C][/ROW]
[ROW][C]83[/C][C]5260[/C][C]5287.58[/C][C]5295.21[/C][C]-7.6331[/C][C]-27.5752[/C][/ROW]
[ROW][C]84[/C][C]5135[/C][C]5141.79[/C][C]5293.75[/C][C]-151.962[/C][C]-6.78819[/C][/ROW]
[ROW][C]85[/C][C]5110[/C][C]5128.18[/C][C]5295.21[/C][C]-167.031[/C][C]-18.1771[/C][/ROW]
[ROW][C]86[/C][C]5255[/C][C]5240.24[/C][C]5298.75[/C][C]-58.5127[/C][C]14.7627[/C][/ROW]
[ROW][C]87[/C][C]5300[/C][C]5259.11[/C][C]5303.12[/C][C]-44.0104[/C][C]40.8854[/C][/ROW]
[ROW][C]88[/C][C]5210[/C][C]5267.08[/C][C]5308.33[/C][C]-41.25[/C][C]-57.0833[/C][/ROW]
[ROW][C]89[/C][C]5300[/C][C]5288.52[/C][C]5309.58[/C][C]-21.0677[/C][C]11.4844[/C][/ROW]
[ROW][C]90[/C][C]5470[/C][C]5437.16[/C][C]5305.83[/C][C]131.328[/C][C]32.8385[/C][/ROW]
[ROW][C]91[/C][C]5255[/C][C]5234.5[/C][C]5299.38[/C][C]-64.8785[/C][C]20.5035[/C][/ROW]
[ROW][C]92[/C][C]5470[/C][C]5405.45[/C][C]5287.08[/C][C]118.362[/C][C]64.5544[/C][/ROW]
[ROW][C]93[/C][C]5520[/C][C]5445.52[/C][C]5266.67[/C][C]178.848[/C][C]74.485[/C][/ROW]
[ROW][C]94[/C][C]5445[/C][C]5376.77[/C][C]5248.96[/C][C]127.807[/C][C]68.235[/C][/ROW]
[ROW][C]95[/C][C]5230[/C][C]5227.99[/C][C]5235.62[/C][C]-7.6331[/C][C]2.0081[/C][/ROW]
[ROW][C]96[/C][C]5075[/C][C]5069.7[/C][C]5221.67[/C][C]-151.962[/C][C]5.29514[/C][/ROW]
[ROW][C]97[/C][C]5015[/C][C]5043.8[/C][C]5210.83[/C][C]-167.031[/C][C]-28.8021[/C][/ROW]
[ROW][C]98[/C][C]5055[/C][C]5142.95[/C][C]5201.46[/C][C]-58.5127[/C][C]-87.9456[/C][/ROW]
[ROW][C]99[/C][C]5010[/C][C]5149.32[/C][C]5193.33[/C][C]-44.0104[/C][C]-139.323[/C][/ROW]
[ROW][C]100[/C][C]5075[/C][C]5146.46[/C][C]5187.71[/C][C]-41.25[/C][C]-71.4583[/C][/ROW]
[ROW][C]101[/C][C]5115[/C][C]5164.35[/C][C]5185.42[/C][C]-21.0677[/C][C]-49.349[/C][/ROW]
[ROW][C]102[/C][C]5320[/C][C]5316.74[/C][C]5185.42[/C][C]131.328[/C][C]3.25521[/C][/ROW]
[ROW][C]103[/C][C]5145[/C][C]5122[/C][C]5186.87[/C][C]-64.8785[/C][C]23.0035[/C][/ROW]
[ROW][C]104[/C][C]5355[/C][C]5312.11[/C][C]5193.75[/C][C]118.362[/C][C]42.8877[/C][/ROW]
[ROW][C]105[/C][C]5440[/C][C]5388.02[/C][C]5209.17[/C][C]178.848[/C][C]51.985[/C][/ROW]
[ROW][C]106[/C][C]5390[/C][C]5354.27[/C][C]5226.46[/C][C]127.807[/C][C]35.735[/C][/ROW]
[ROW][C]107[/C][C]5230[/C][C]5234.87[/C][C]5242.5[/C][C]-7.6331[/C][C]-4.8669[/C][/ROW]
[ROW][C]108[/C][C]5075[/C][C]5105.33[/C][C]5257.29[/C][C]-151.962[/C][C]-30.3299[/C][/ROW]
[ROW][C]109[/C][C]5050[/C][C]5102.34[/C][C]5269.38[/C][C]-167.031[/C][C]-52.3438[/C][/ROW]
[ROW][C]110[/C][C]5185[/C][C]5222.95[/C][C]5281.46[/C][C]-58.5127[/C][C]-37.9456[/C][/ROW]
[ROW][C]111[/C][C]5250[/C][C]NA[/C][C]NA[/C][C]-44.0104[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5250[/C][C]NA[/C][C]NA[/C][C]-41.25[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5325[/C][C]NA[/C][C]NA[/C][C]-21.0677[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5465[/C][C]NA[/C][C]NA[/C][C]131.328[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5290[/C][C]NA[/C][C]NA[/C][C]-64.8785[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5500[/C][C]NA[/C][C]NA[/C][C]118.362[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297952&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297952&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
13665NANA-167.031NA
23790NANA-58.5127NA
33870NANA-44.0104NA
43885NANA-41.25NA
53955NANA-21.0677NA
64100NANA131.328NA
740004002.24067.08-64.8785-2.20486
841904230.654112.29118.362-40.6539
943604336.564157.71178.84823.4433
1043604329.274201.46127.80730.735
1142554235.284242.92-7.633119.7164
1241104131.584283.54-151.962-21.5799
1341954155.684322.71-167.03139.3229
1443454300.034358.54-58.512744.9711
1544054344.954388.96-44.010460.0521
1644004372.294413.54-41.2527.7083
1744354414.564435.63-21.067720.4427
1845954587.374456.04131.3287.63021
19444544074471.88-64.878538.0035
2046054602.114483.75118.3622.88773
2146754673.854495178.8481.15162
2246354633.854506.04127.8071.15162
2345104509.664517.29-7.63310.341435
2443454374.914526.88-151.962-29.9132
2543404366.514533.54-167.031-26.5104
2644854481.494540-58.51273.51273
2745354503.914547.92-44.010431.0938
2845354513.124554.37-41.2521.875
2945704540.814561.88-21.067729.1927
3046904704.664573.33131.328-14.6615
3145104523.044587.92-64.8785-13.0382
3246954720.864602.5118.362-25.8623
3347754790.314611.46178.848-15.3067
3446904746.774618.96127.807-56.765
3546354619.454627.08-7.633115.5498
3644954482.24634.17-151.96212.7951
3745404476.094643.13-167.03163.9062
3846354595.454653.96-58.512739.5544
3946004620.574664.58-44.0104-20.5729
4046504636.464677.71-41.2513.5417
4146504670.814691.88-21.0677-20.8073
4247804837.584706.25131.328-57.5781
4346354654.084718.96-64.8785-19.0799
4448304850.244731.87118.362-20.2373
4548954931.144752.29178.848-36.14
4648854901.564773.75127.807-16.5567
4747804787.994795.62-7.6331-7.9919
4846954671.164823.13-151.96223.8368
4946454685.054852.08-167.031-40.0521
5048404820.654879.17-58.512719.3461
5148854861.614905.62-44.010423.3854
5248804891.674932.92-41.25-11.6667
5349454939.774960.83-21.06775.23438
5451455118.624987.29131.32826.3802
5549654949.55014.37-64.878515.5035
5651505158.365040118.362-8.36227
5752105240.725061.88178.848-30.7234
5852255212.395084.58127.80712.61
5951105099.035106.67-7.633110.9664
6050004973.045125-151.96226.9618
6149904974.845141.88-167.03115.1562
6251105101.285159.79-58.51278.72106
6351405134.325178.33-44.01045.67708
6451705153.545194.79-41.2516.4583
6551855188.935210-21.0677-3.93229
6653455357.375226.04131.328-12.3698
6751705178.665243.54-64.8785-8.66319
6853755378.155259.79118.362-3.15394
6954305451.975273.12178.848-21.9734
7054005415.315287.5127.807-15.3067
7153005293.625301.25-7.63316.3831
7251955160.755312.71-151.96234.2535
7352155152.975320-167.03162.0312
7452755265.455323.96-58.51279.5544
7552955283.285327.29-44.010411.7188
7653605286.465327.71-41.2573.5417
7753255304.355325.42-21.067720.651
7854805452.585321.25131.32827.4219
7952105249.55314.38-64.8785-39.4965
8054305427.535309.17118.3622.47106
8154555487.395308.54178.848-32.39
8253855430.315302.5127.807-45.3067
8352605287.585295.21-7.6331-27.5752
8451355141.795293.75-151.962-6.78819
8551105128.185295.21-167.031-18.1771
8652555240.245298.75-58.512714.7627
8753005259.115303.12-44.010440.8854
8852105267.085308.33-41.25-57.0833
8953005288.525309.58-21.067711.4844
9054705437.165305.83131.32832.8385
9152555234.55299.38-64.878520.5035
9254705405.455287.08118.36264.5544
9355205445.525266.67178.84874.485
9454455376.775248.96127.80768.235
9552305227.995235.62-7.63312.0081
9650755069.75221.67-151.9625.29514
9750155043.85210.83-167.031-28.8021
9850555142.955201.46-58.5127-87.9456
9950105149.325193.33-44.0104-139.323
10050755146.465187.71-41.25-71.4583
10151155164.355185.42-21.0677-49.349
10253205316.745185.42131.3283.25521
103514551225186.87-64.878523.0035
10453555312.115193.75118.36242.8877
10554405388.025209.17178.84851.985
10653905354.275226.46127.80735.735
10752305234.875242.5-7.6331-4.8669
10850755105.335257.29-151.962-30.3299
10950505102.345269.38-167.031-52.3438
11051855222.955281.46-58.5127-37.9456
1115250NANA-44.0104NA
1125250NANA-41.25NA
1135325NANA-21.0677NA
1145465NANA131.328NA
1155290NANA-64.8785NA
1165500NANA118.362NA



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')