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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 15:17:21 +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/t1481120341lpytezfdnb68d5g.htm/, Retrieved Tue, 07 May 2024 14:30:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298136, Retrieved Tue, 07 May 2024 14:30:04 +0000
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Estimated Impact48
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Paper N2163] [2016-12-07 14:17:21] [1e2703d0f11438bcd65480dae45a3781] [Current]
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Dataseries X:
3875
3755
4670
4335
4945
4600
4395
4345
4390
4490
4395
4690
4590
4630
5375
4655
4975
4810
4445
4660
4215
4825
4250
3945
4390
4315
4835
4835
4970
4690
4700
4855
4610
4900
4250
4105
4740
4565
5155
5320
5430
4690
4540
4575
4660
4850
4200
4360
4655
4585
5315
5115
5100
5735
5260
5050
5165
5190
4720
5275
4605
4825
5595
5160
5320
5540
4970
5445
5305
5145
4895
4555
4980
4930
5810
5210
5450
5510
5010
5495
5125
5190
4565
4255
4875
4650
5295
5045
5430
5325
4920
5445
4895
5175
4545
4220
4595
4360
4750
4985
5140
4995
5150
5240
4875
5170
4715
4370
5160
4930
5600
5385
5425
5375
5365




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298136&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298136&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298136&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13875NANA-167.269NA
23755NANA-272.433NA
34670NANA379.129NA
44335NANA147.436NA
54945NANA328.478NA
64600NANA263.478NA
743954409.774436.88-27.1065-14.7685
843454655.744503.12152.616-310.741
943904504.054568.96-64.9074-114.051
1044904725.934611.67114.259-235.926
1143954244.544626.25-381.713150.463
1246904164.284636.25-471.968525.718
1345904479.814647.08-167.269110.185
1446304389.864662.29-272.433240.142
1553755047.254668.12379.129327.746
1646554822.234674.79147.436-167.228
1749755011.194682.71328.478-36.1863
1848104909.14645.63263.478-99.103
1944454579.144606.25-27.1065-134.144
2046604737.414584.79152.616-77.4074
2142154484.264549.17-64.9074-269.259
2248254648.434534.17114.259176.574
2342504159.754541.46-381.71390.2546
2439454064.284536.25-471.968-119.282
2543904374.614541.88-167.26915.3935
2643154288.194560.62-272.43326.8084
2748354964.344585.21379.129-129.337
2848354752.234604.79147.43682.772
2949704936.394607.92328.47833.6053
3046904878.064614.58263.478-188.061
3147004608.734635.83-27.106591.2731
3248554813.454660.83152.61641.5509
3346104619.684684.58-64.9074-9.67593
3449004832.384718.12114.25967.6157
3542504375.794757.5-381.713-125.787
3641054304.74776.67-471.968-199.699
3747404602.734770-167.269137.269
3845654479.234751.67-272.43385.7668
3951555121.214742.08379.12933.7876
4053204889.524742.08147.436430.48
4154305066.394737.92328.478363.605
4246905009.944746.46263.478-319.936
4345404726.444753.54-27.1065-186.435
4445754903.454750.83152.616-328.449
4546604693.434758.33-64.9074-33.4259
4648504870.724756.46114.259-20.7176
4742004352.454734.17-381.713-152.454
4843604291.994763.96-471.96868.0093
4946554670.234837.5-167.269-15.2315
5045854614.864887.29-272.433-29.8582
5153155307.254928.12379.1297.74595
5251155110.774963.33147.4364.23032
5351005327.644999.17328.478-227.645
5457355322.445058.96263.478412.564
5552605067.895095-27.1065192.106
5650505255.535102.92152.616-205.532
5751655059.685124.58-64.9074105.324
5851905252.385138.12114.259-62.3843
5947204767.455149.17-381.713-47.4537
6052754678.245150.21-471.968596.759
6146054962.735130-167.269-357.731
6248254861.945134.38-272.433-36.9416
6355955535.85156.67379.12959.2043
6451605308.065160.62147.436-148.061
6553205494.525166.04328.478-174.52
6655405406.815143.33263.478133.189
6749705101.855128.96-27.1065-131.852
6854455301.575148.96152.616143.426
6953055097.385162.29-64.9074207.616
7051455287.595173.33114.259-142.593
7148954799.125180.83-381.71395.8796
7245554713.035185-471.968-158.032
7349805018.155185.42-167.269-38.1481
7449304916.735189.17-272.43313.2668
7558105562.885183.75379.129247.121
7652105325.565178.12147.436-115.561
7754505494.735166.25328.478-44.728
7855105403.485140263.478106.522
7950105096.025123.12-27.1065-86.0185
8054955259.75107.08152.616235.301
8151255009.055073.96-64.9074115.949
8251905159.885045.62114.25930.1157
8345654656.25037.92-381.713-91.2037
8442554557.415029.38-471.968-302.407
8548754850.655017.92-167.26924.3519
8646504739.655012.08-272.433-89.6499
8752955379.555000.42379.129-84.5457
8850455137.644990.21147.436-92.6447
8954305317.234988.75328.478112.772
9053255249.944986.46263.47875.0637
9149204946.234973.33-27.1065-26.2269
9254455102.24949.58152.616342.801
9348954849.884914.79-64.907445.1157
9451755003.844889.58114.259171.157
9545454493.294875-381.71351.713
9642204377.24849.17-471.968-157.199
9745954677.734845-167.269-82.7315
9843604573.614846.04-272.433-213.608
9947505215.84836.67379.129-465.796
10049854983.064835.62147.4361.93866
10151405170.984842.5328.478-30.978
10249955119.314855.83263.478-124.311
10351504858.524885.62-27.1065291.481
10452405085.534932.92152.616154.468
10548754927.184992.08-64.9074-52.1759
10651705158.435044.17114.25911.5741
107471546915072.71-381.71324.0046
10843704628.455100.42-471.968-258.449
10951604957.945125.21-167.269202.06
1104930NANA-272.433NA
1115600NANA379.129NA
1125385NANA147.436NA
1135425NANA328.478NA
1145375NANA263.478NA
1155365NANA-27.1065NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3875 & NA & NA & -167.269 & NA \tabularnewline
2 & 3755 & NA & NA & -272.433 & NA \tabularnewline
3 & 4670 & NA & NA & 379.129 & NA \tabularnewline
4 & 4335 & NA & NA & 147.436 & NA \tabularnewline
5 & 4945 & NA & NA & 328.478 & NA \tabularnewline
6 & 4600 & NA & NA & 263.478 & NA \tabularnewline
7 & 4395 & 4409.77 & 4436.88 & -27.1065 & -14.7685 \tabularnewline
8 & 4345 & 4655.74 & 4503.12 & 152.616 & -310.741 \tabularnewline
9 & 4390 & 4504.05 & 4568.96 & -64.9074 & -114.051 \tabularnewline
10 & 4490 & 4725.93 & 4611.67 & 114.259 & -235.926 \tabularnewline
11 & 4395 & 4244.54 & 4626.25 & -381.713 & 150.463 \tabularnewline
12 & 4690 & 4164.28 & 4636.25 & -471.968 & 525.718 \tabularnewline
13 & 4590 & 4479.81 & 4647.08 & -167.269 & 110.185 \tabularnewline
14 & 4630 & 4389.86 & 4662.29 & -272.433 & 240.142 \tabularnewline
15 & 5375 & 5047.25 & 4668.12 & 379.129 & 327.746 \tabularnewline
16 & 4655 & 4822.23 & 4674.79 & 147.436 & -167.228 \tabularnewline
17 & 4975 & 5011.19 & 4682.71 & 328.478 & -36.1863 \tabularnewline
18 & 4810 & 4909.1 & 4645.63 & 263.478 & -99.103 \tabularnewline
19 & 4445 & 4579.14 & 4606.25 & -27.1065 & -134.144 \tabularnewline
20 & 4660 & 4737.41 & 4584.79 & 152.616 & -77.4074 \tabularnewline
21 & 4215 & 4484.26 & 4549.17 & -64.9074 & -269.259 \tabularnewline
22 & 4825 & 4648.43 & 4534.17 & 114.259 & 176.574 \tabularnewline
23 & 4250 & 4159.75 & 4541.46 & -381.713 & 90.2546 \tabularnewline
24 & 3945 & 4064.28 & 4536.25 & -471.968 & -119.282 \tabularnewline
25 & 4390 & 4374.61 & 4541.88 & -167.269 & 15.3935 \tabularnewline
26 & 4315 & 4288.19 & 4560.62 & -272.433 & 26.8084 \tabularnewline
27 & 4835 & 4964.34 & 4585.21 & 379.129 & -129.337 \tabularnewline
28 & 4835 & 4752.23 & 4604.79 & 147.436 & 82.772 \tabularnewline
29 & 4970 & 4936.39 & 4607.92 & 328.478 & 33.6053 \tabularnewline
30 & 4690 & 4878.06 & 4614.58 & 263.478 & -188.061 \tabularnewline
31 & 4700 & 4608.73 & 4635.83 & -27.1065 & 91.2731 \tabularnewline
32 & 4855 & 4813.45 & 4660.83 & 152.616 & 41.5509 \tabularnewline
33 & 4610 & 4619.68 & 4684.58 & -64.9074 & -9.67593 \tabularnewline
34 & 4900 & 4832.38 & 4718.12 & 114.259 & 67.6157 \tabularnewline
35 & 4250 & 4375.79 & 4757.5 & -381.713 & -125.787 \tabularnewline
36 & 4105 & 4304.7 & 4776.67 & -471.968 & -199.699 \tabularnewline
37 & 4740 & 4602.73 & 4770 & -167.269 & 137.269 \tabularnewline
38 & 4565 & 4479.23 & 4751.67 & -272.433 & 85.7668 \tabularnewline
39 & 5155 & 5121.21 & 4742.08 & 379.129 & 33.7876 \tabularnewline
40 & 5320 & 4889.52 & 4742.08 & 147.436 & 430.48 \tabularnewline
41 & 5430 & 5066.39 & 4737.92 & 328.478 & 363.605 \tabularnewline
42 & 4690 & 5009.94 & 4746.46 & 263.478 & -319.936 \tabularnewline
43 & 4540 & 4726.44 & 4753.54 & -27.1065 & -186.435 \tabularnewline
44 & 4575 & 4903.45 & 4750.83 & 152.616 & -328.449 \tabularnewline
45 & 4660 & 4693.43 & 4758.33 & -64.9074 & -33.4259 \tabularnewline
46 & 4850 & 4870.72 & 4756.46 & 114.259 & -20.7176 \tabularnewline
47 & 4200 & 4352.45 & 4734.17 & -381.713 & -152.454 \tabularnewline
48 & 4360 & 4291.99 & 4763.96 & -471.968 & 68.0093 \tabularnewline
49 & 4655 & 4670.23 & 4837.5 & -167.269 & -15.2315 \tabularnewline
50 & 4585 & 4614.86 & 4887.29 & -272.433 & -29.8582 \tabularnewline
51 & 5315 & 5307.25 & 4928.12 & 379.129 & 7.74595 \tabularnewline
52 & 5115 & 5110.77 & 4963.33 & 147.436 & 4.23032 \tabularnewline
53 & 5100 & 5327.64 & 4999.17 & 328.478 & -227.645 \tabularnewline
54 & 5735 & 5322.44 & 5058.96 & 263.478 & 412.564 \tabularnewline
55 & 5260 & 5067.89 & 5095 & -27.1065 & 192.106 \tabularnewline
56 & 5050 & 5255.53 & 5102.92 & 152.616 & -205.532 \tabularnewline
57 & 5165 & 5059.68 & 5124.58 & -64.9074 & 105.324 \tabularnewline
58 & 5190 & 5252.38 & 5138.12 & 114.259 & -62.3843 \tabularnewline
59 & 4720 & 4767.45 & 5149.17 & -381.713 & -47.4537 \tabularnewline
60 & 5275 & 4678.24 & 5150.21 & -471.968 & 596.759 \tabularnewline
61 & 4605 & 4962.73 & 5130 & -167.269 & -357.731 \tabularnewline
62 & 4825 & 4861.94 & 5134.38 & -272.433 & -36.9416 \tabularnewline
63 & 5595 & 5535.8 & 5156.67 & 379.129 & 59.2043 \tabularnewline
64 & 5160 & 5308.06 & 5160.62 & 147.436 & -148.061 \tabularnewline
65 & 5320 & 5494.52 & 5166.04 & 328.478 & -174.52 \tabularnewline
66 & 5540 & 5406.81 & 5143.33 & 263.478 & 133.189 \tabularnewline
67 & 4970 & 5101.85 & 5128.96 & -27.1065 & -131.852 \tabularnewline
68 & 5445 & 5301.57 & 5148.96 & 152.616 & 143.426 \tabularnewline
69 & 5305 & 5097.38 & 5162.29 & -64.9074 & 207.616 \tabularnewline
70 & 5145 & 5287.59 & 5173.33 & 114.259 & -142.593 \tabularnewline
71 & 4895 & 4799.12 & 5180.83 & -381.713 & 95.8796 \tabularnewline
72 & 4555 & 4713.03 & 5185 & -471.968 & -158.032 \tabularnewline
73 & 4980 & 5018.15 & 5185.42 & -167.269 & -38.1481 \tabularnewline
74 & 4930 & 4916.73 & 5189.17 & -272.433 & 13.2668 \tabularnewline
75 & 5810 & 5562.88 & 5183.75 & 379.129 & 247.121 \tabularnewline
76 & 5210 & 5325.56 & 5178.12 & 147.436 & -115.561 \tabularnewline
77 & 5450 & 5494.73 & 5166.25 & 328.478 & -44.728 \tabularnewline
78 & 5510 & 5403.48 & 5140 & 263.478 & 106.522 \tabularnewline
79 & 5010 & 5096.02 & 5123.12 & -27.1065 & -86.0185 \tabularnewline
80 & 5495 & 5259.7 & 5107.08 & 152.616 & 235.301 \tabularnewline
81 & 5125 & 5009.05 & 5073.96 & -64.9074 & 115.949 \tabularnewline
82 & 5190 & 5159.88 & 5045.62 & 114.259 & 30.1157 \tabularnewline
83 & 4565 & 4656.2 & 5037.92 & -381.713 & -91.2037 \tabularnewline
84 & 4255 & 4557.41 & 5029.38 & -471.968 & -302.407 \tabularnewline
85 & 4875 & 4850.65 & 5017.92 & -167.269 & 24.3519 \tabularnewline
86 & 4650 & 4739.65 & 5012.08 & -272.433 & -89.6499 \tabularnewline
87 & 5295 & 5379.55 & 5000.42 & 379.129 & -84.5457 \tabularnewline
88 & 5045 & 5137.64 & 4990.21 & 147.436 & -92.6447 \tabularnewline
89 & 5430 & 5317.23 & 4988.75 & 328.478 & 112.772 \tabularnewline
90 & 5325 & 5249.94 & 4986.46 & 263.478 & 75.0637 \tabularnewline
91 & 4920 & 4946.23 & 4973.33 & -27.1065 & -26.2269 \tabularnewline
92 & 5445 & 5102.2 & 4949.58 & 152.616 & 342.801 \tabularnewline
93 & 4895 & 4849.88 & 4914.79 & -64.9074 & 45.1157 \tabularnewline
94 & 5175 & 5003.84 & 4889.58 & 114.259 & 171.157 \tabularnewline
95 & 4545 & 4493.29 & 4875 & -381.713 & 51.713 \tabularnewline
96 & 4220 & 4377.2 & 4849.17 & -471.968 & -157.199 \tabularnewline
97 & 4595 & 4677.73 & 4845 & -167.269 & -82.7315 \tabularnewline
98 & 4360 & 4573.61 & 4846.04 & -272.433 & -213.608 \tabularnewline
99 & 4750 & 5215.8 & 4836.67 & 379.129 & -465.796 \tabularnewline
100 & 4985 & 4983.06 & 4835.62 & 147.436 & 1.93866 \tabularnewline
101 & 5140 & 5170.98 & 4842.5 & 328.478 & -30.978 \tabularnewline
102 & 4995 & 5119.31 & 4855.83 & 263.478 & -124.311 \tabularnewline
103 & 5150 & 4858.52 & 4885.62 & -27.1065 & 291.481 \tabularnewline
104 & 5240 & 5085.53 & 4932.92 & 152.616 & 154.468 \tabularnewline
105 & 4875 & 4927.18 & 4992.08 & -64.9074 & -52.1759 \tabularnewline
106 & 5170 & 5158.43 & 5044.17 & 114.259 & 11.5741 \tabularnewline
107 & 4715 & 4691 & 5072.71 & -381.713 & 24.0046 \tabularnewline
108 & 4370 & 4628.45 & 5100.42 & -471.968 & -258.449 \tabularnewline
109 & 5160 & 4957.94 & 5125.21 & -167.269 & 202.06 \tabularnewline
110 & 4930 & NA & NA & -272.433 & NA \tabularnewline
111 & 5600 & NA & NA & 379.129 & NA \tabularnewline
112 & 5385 & NA & NA & 147.436 & NA \tabularnewline
113 & 5425 & NA & NA & 328.478 & NA \tabularnewline
114 & 5375 & NA & NA & 263.478 & NA \tabularnewline
115 & 5365 & NA & NA & -27.1065 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298136&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]3875[/C][C]NA[/C][C]NA[/C][C]-167.269[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3755[/C][C]NA[/C][C]NA[/C][C]-272.433[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4670[/C][C]NA[/C][C]NA[/C][C]379.129[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4335[/C][C]NA[/C][C]NA[/C][C]147.436[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4945[/C][C]NA[/C][C]NA[/C][C]328.478[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4600[/C][C]NA[/C][C]NA[/C][C]263.478[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4395[/C][C]4409.77[/C][C]4436.88[/C][C]-27.1065[/C][C]-14.7685[/C][/ROW]
[ROW][C]8[/C][C]4345[/C][C]4655.74[/C][C]4503.12[/C][C]152.616[/C][C]-310.741[/C][/ROW]
[ROW][C]9[/C][C]4390[/C][C]4504.05[/C][C]4568.96[/C][C]-64.9074[/C][C]-114.051[/C][/ROW]
[ROW][C]10[/C][C]4490[/C][C]4725.93[/C][C]4611.67[/C][C]114.259[/C][C]-235.926[/C][/ROW]
[ROW][C]11[/C][C]4395[/C][C]4244.54[/C][C]4626.25[/C][C]-381.713[/C][C]150.463[/C][/ROW]
[ROW][C]12[/C][C]4690[/C][C]4164.28[/C][C]4636.25[/C][C]-471.968[/C][C]525.718[/C][/ROW]
[ROW][C]13[/C][C]4590[/C][C]4479.81[/C][C]4647.08[/C][C]-167.269[/C][C]110.185[/C][/ROW]
[ROW][C]14[/C][C]4630[/C][C]4389.86[/C][C]4662.29[/C][C]-272.433[/C][C]240.142[/C][/ROW]
[ROW][C]15[/C][C]5375[/C][C]5047.25[/C][C]4668.12[/C][C]379.129[/C][C]327.746[/C][/ROW]
[ROW][C]16[/C][C]4655[/C][C]4822.23[/C][C]4674.79[/C][C]147.436[/C][C]-167.228[/C][/ROW]
[ROW][C]17[/C][C]4975[/C][C]5011.19[/C][C]4682.71[/C][C]328.478[/C][C]-36.1863[/C][/ROW]
[ROW][C]18[/C][C]4810[/C][C]4909.1[/C][C]4645.63[/C][C]263.478[/C][C]-99.103[/C][/ROW]
[ROW][C]19[/C][C]4445[/C][C]4579.14[/C][C]4606.25[/C][C]-27.1065[/C][C]-134.144[/C][/ROW]
[ROW][C]20[/C][C]4660[/C][C]4737.41[/C][C]4584.79[/C][C]152.616[/C][C]-77.4074[/C][/ROW]
[ROW][C]21[/C][C]4215[/C][C]4484.26[/C][C]4549.17[/C][C]-64.9074[/C][C]-269.259[/C][/ROW]
[ROW][C]22[/C][C]4825[/C][C]4648.43[/C][C]4534.17[/C][C]114.259[/C][C]176.574[/C][/ROW]
[ROW][C]23[/C][C]4250[/C][C]4159.75[/C][C]4541.46[/C][C]-381.713[/C][C]90.2546[/C][/ROW]
[ROW][C]24[/C][C]3945[/C][C]4064.28[/C][C]4536.25[/C][C]-471.968[/C][C]-119.282[/C][/ROW]
[ROW][C]25[/C][C]4390[/C][C]4374.61[/C][C]4541.88[/C][C]-167.269[/C][C]15.3935[/C][/ROW]
[ROW][C]26[/C][C]4315[/C][C]4288.19[/C][C]4560.62[/C][C]-272.433[/C][C]26.8084[/C][/ROW]
[ROW][C]27[/C][C]4835[/C][C]4964.34[/C][C]4585.21[/C][C]379.129[/C][C]-129.337[/C][/ROW]
[ROW][C]28[/C][C]4835[/C][C]4752.23[/C][C]4604.79[/C][C]147.436[/C][C]82.772[/C][/ROW]
[ROW][C]29[/C][C]4970[/C][C]4936.39[/C][C]4607.92[/C][C]328.478[/C][C]33.6053[/C][/ROW]
[ROW][C]30[/C][C]4690[/C][C]4878.06[/C][C]4614.58[/C][C]263.478[/C][C]-188.061[/C][/ROW]
[ROW][C]31[/C][C]4700[/C][C]4608.73[/C][C]4635.83[/C][C]-27.1065[/C][C]91.2731[/C][/ROW]
[ROW][C]32[/C][C]4855[/C][C]4813.45[/C][C]4660.83[/C][C]152.616[/C][C]41.5509[/C][/ROW]
[ROW][C]33[/C][C]4610[/C][C]4619.68[/C][C]4684.58[/C][C]-64.9074[/C][C]-9.67593[/C][/ROW]
[ROW][C]34[/C][C]4900[/C][C]4832.38[/C][C]4718.12[/C][C]114.259[/C][C]67.6157[/C][/ROW]
[ROW][C]35[/C][C]4250[/C][C]4375.79[/C][C]4757.5[/C][C]-381.713[/C][C]-125.787[/C][/ROW]
[ROW][C]36[/C][C]4105[/C][C]4304.7[/C][C]4776.67[/C][C]-471.968[/C][C]-199.699[/C][/ROW]
[ROW][C]37[/C][C]4740[/C][C]4602.73[/C][C]4770[/C][C]-167.269[/C][C]137.269[/C][/ROW]
[ROW][C]38[/C][C]4565[/C][C]4479.23[/C][C]4751.67[/C][C]-272.433[/C][C]85.7668[/C][/ROW]
[ROW][C]39[/C][C]5155[/C][C]5121.21[/C][C]4742.08[/C][C]379.129[/C][C]33.7876[/C][/ROW]
[ROW][C]40[/C][C]5320[/C][C]4889.52[/C][C]4742.08[/C][C]147.436[/C][C]430.48[/C][/ROW]
[ROW][C]41[/C][C]5430[/C][C]5066.39[/C][C]4737.92[/C][C]328.478[/C][C]363.605[/C][/ROW]
[ROW][C]42[/C][C]4690[/C][C]5009.94[/C][C]4746.46[/C][C]263.478[/C][C]-319.936[/C][/ROW]
[ROW][C]43[/C][C]4540[/C][C]4726.44[/C][C]4753.54[/C][C]-27.1065[/C][C]-186.435[/C][/ROW]
[ROW][C]44[/C][C]4575[/C][C]4903.45[/C][C]4750.83[/C][C]152.616[/C][C]-328.449[/C][/ROW]
[ROW][C]45[/C][C]4660[/C][C]4693.43[/C][C]4758.33[/C][C]-64.9074[/C][C]-33.4259[/C][/ROW]
[ROW][C]46[/C][C]4850[/C][C]4870.72[/C][C]4756.46[/C][C]114.259[/C][C]-20.7176[/C][/ROW]
[ROW][C]47[/C][C]4200[/C][C]4352.45[/C][C]4734.17[/C][C]-381.713[/C][C]-152.454[/C][/ROW]
[ROW][C]48[/C][C]4360[/C][C]4291.99[/C][C]4763.96[/C][C]-471.968[/C][C]68.0093[/C][/ROW]
[ROW][C]49[/C][C]4655[/C][C]4670.23[/C][C]4837.5[/C][C]-167.269[/C][C]-15.2315[/C][/ROW]
[ROW][C]50[/C][C]4585[/C][C]4614.86[/C][C]4887.29[/C][C]-272.433[/C][C]-29.8582[/C][/ROW]
[ROW][C]51[/C][C]5315[/C][C]5307.25[/C][C]4928.12[/C][C]379.129[/C][C]7.74595[/C][/ROW]
[ROW][C]52[/C][C]5115[/C][C]5110.77[/C][C]4963.33[/C][C]147.436[/C][C]4.23032[/C][/ROW]
[ROW][C]53[/C][C]5100[/C][C]5327.64[/C][C]4999.17[/C][C]328.478[/C][C]-227.645[/C][/ROW]
[ROW][C]54[/C][C]5735[/C][C]5322.44[/C][C]5058.96[/C][C]263.478[/C][C]412.564[/C][/ROW]
[ROW][C]55[/C][C]5260[/C][C]5067.89[/C][C]5095[/C][C]-27.1065[/C][C]192.106[/C][/ROW]
[ROW][C]56[/C][C]5050[/C][C]5255.53[/C][C]5102.92[/C][C]152.616[/C][C]-205.532[/C][/ROW]
[ROW][C]57[/C][C]5165[/C][C]5059.68[/C][C]5124.58[/C][C]-64.9074[/C][C]105.324[/C][/ROW]
[ROW][C]58[/C][C]5190[/C][C]5252.38[/C][C]5138.12[/C][C]114.259[/C][C]-62.3843[/C][/ROW]
[ROW][C]59[/C][C]4720[/C][C]4767.45[/C][C]5149.17[/C][C]-381.713[/C][C]-47.4537[/C][/ROW]
[ROW][C]60[/C][C]5275[/C][C]4678.24[/C][C]5150.21[/C][C]-471.968[/C][C]596.759[/C][/ROW]
[ROW][C]61[/C][C]4605[/C][C]4962.73[/C][C]5130[/C][C]-167.269[/C][C]-357.731[/C][/ROW]
[ROW][C]62[/C][C]4825[/C][C]4861.94[/C][C]5134.38[/C][C]-272.433[/C][C]-36.9416[/C][/ROW]
[ROW][C]63[/C][C]5595[/C][C]5535.8[/C][C]5156.67[/C][C]379.129[/C][C]59.2043[/C][/ROW]
[ROW][C]64[/C][C]5160[/C][C]5308.06[/C][C]5160.62[/C][C]147.436[/C][C]-148.061[/C][/ROW]
[ROW][C]65[/C][C]5320[/C][C]5494.52[/C][C]5166.04[/C][C]328.478[/C][C]-174.52[/C][/ROW]
[ROW][C]66[/C][C]5540[/C][C]5406.81[/C][C]5143.33[/C][C]263.478[/C][C]133.189[/C][/ROW]
[ROW][C]67[/C][C]4970[/C][C]5101.85[/C][C]5128.96[/C][C]-27.1065[/C][C]-131.852[/C][/ROW]
[ROW][C]68[/C][C]5445[/C][C]5301.57[/C][C]5148.96[/C][C]152.616[/C][C]143.426[/C][/ROW]
[ROW][C]69[/C][C]5305[/C][C]5097.38[/C][C]5162.29[/C][C]-64.9074[/C][C]207.616[/C][/ROW]
[ROW][C]70[/C][C]5145[/C][C]5287.59[/C][C]5173.33[/C][C]114.259[/C][C]-142.593[/C][/ROW]
[ROW][C]71[/C][C]4895[/C][C]4799.12[/C][C]5180.83[/C][C]-381.713[/C][C]95.8796[/C][/ROW]
[ROW][C]72[/C][C]4555[/C][C]4713.03[/C][C]5185[/C][C]-471.968[/C][C]-158.032[/C][/ROW]
[ROW][C]73[/C][C]4980[/C][C]5018.15[/C][C]5185.42[/C][C]-167.269[/C][C]-38.1481[/C][/ROW]
[ROW][C]74[/C][C]4930[/C][C]4916.73[/C][C]5189.17[/C][C]-272.433[/C][C]13.2668[/C][/ROW]
[ROW][C]75[/C][C]5810[/C][C]5562.88[/C][C]5183.75[/C][C]379.129[/C][C]247.121[/C][/ROW]
[ROW][C]76[/C][C]5210[/C][C]5325.56[/C][C]5178.12[/C][C]147.436[/C][C]-115.561[/C][/ROW]
[ROW][C]77[/C][C]5450[/C][C]5494.73[/C][C]5166.25[/C][C]328.478[/C][C]-44.728[/C][/ROW]
[ROW][C]78[/C][C]5510[/C][C]5403.48[/C][C]5140[/C][C]263.478[/C][C]106.522[/C][/ROW]
[ROW][C]79[/C][C]5010[/C][C]5096.02[/C][C]5123.12[/C][C]-27.1065[/C][C]-86.0185[/C][/ROW]
[ROW][C]80[/C][C]5495[/C][C]5259.7[/C][C]5107.08[/C][C]152.616[/C][C]235.301[/C][/ROW]
[ROW][C]81[/C][C]5125[/C][C]5009.05[/C][C]5073.96[/C][C]-64.9074[/C][C]115.949[/C][/ROW]
[ROW][C]82[/C][C]5190[/C][C]5159.88[/C][C]5045.62[/C][C]114.259[/C][C]30.1157[/C][/ROW]
[ROW][C]83[/C][C]4565[/C][C]4656.2[/C][C]5037.92[/C][C]-381.713[/C][C]-91.2037[/C][/ROW]
[ROW][C]84[/C][C]4255[/C][C]4557.41[/C][C]5029.38[/C][C]-471.968[/C][C]-302.407[/C][/ROW]
[ROW][C]85[/C][C]4875[/C][C]4850.65[/C][C]5017.92[/C][C]-167.269[/C][C]24.3519[/C][/ROW]
[ROW][C]86[/C][C]4650[/C][C]4739.65[/C][C]5012.08[/C][C]-272.433[/C][C]-89.6499[/C][/ROW]
[ROW][C]87[/C][C]5295[/C][C]5379.55[/C][C]5000.42[/C][C]379.129[/C][C]-84.5457[/C][/ROW]
[ROW][C]88[/C][C]5045[/C][C]5137.64[/C][C]4990.21[/C][C]147.436[/C][C]-92.6447[/C][/ROW]
[ROW][C]89[/C][C]5430[/C][C]5317.23[/C][C]4988.75[/C][C]328.478[/C][C]112.772[/C][/ROW]
[ROW][C]90[/C][C]5325[/C][C]5249.94[/C][C]4986.46[/C][C]263.478[/C][C]75.0637[/C][/ROW]
[ROW][C]91[/C][C]4920[/C][C]4946.23[/C][C]4973.33[/C][C]-27.1065[/C][C]-26.2269[/C][/ROW]
[ROW][C]92[/C][C]5445[/C][C]5102.2[/C][C]4949.58[/C][C]152.616[/C][C]342.801[/C][/ROW]
[ROW][C]93[/C][C]4895[/C][C]4849.88[/C][C]4914.79[/C][C]-64.9074[/C][C]45.1157[/C][/ROW]
[ROW][C]94[/C][C]5175[/C][C]5003.84[/C][C]4889.58[/C][C]114.259[/C][C]171.157[/C][/ROW]
[ROW][C]95[/C][C]4545[/C][C]4493.29[/C][C]4875[/C][C]-381.713[/C][C]51.713[/C][/ROW]
[ROW][C]96[/C][C]4220[/C][C]4377.2[/C][C]4849.17[/C][C]-471.968[/C][C]-157.199[/C][/ROW]
[ROW][C]97[/C][C]4595[/C][C]4677.73[/C][C]4845[/C][C]-167.269[/C][C]-82.7315[/C][/ROW]
[ROW][C]98[/C][C]4360[/C][C]4573.61[/C][C]4846.04[/C][C]-272.433[/C][C]-213.608[/C][/ROW]
[ROW][C]99[/C][C]4750[/C][C]5215.8[/C][C]4836.67[/C][C]379.129[/C][C]-465.796[/C][/ROW]
[ROW][C]100[/C][C]4985[/C][C]4983.06[/C][C]4835.62[/C][C]147.436[/C][C]1.93866[/C][/ROW]
[ROW][C]101[/C][C]5140[/C][C]5170.98[/C][C]4842.5[/C][C]328.478[/C][C]-30.978[/C][/ROW]
[ROW][C]102[/C][C]4995[/C][C]5119.31[/C][C]4855.83[/C][C]263.478[/C][C]-124.311[/C][/ROW]
[ROW][C]103[/C][C]5150[/C][C]4858.52[/C][C]4885.62[/C][C]-27.1065[/C][C]291.481[/C][/ROW]
[ROW][C]104[/C][C]5240[/C][C]5085.53[/C][C]4932.92[/C][C]152.616[/C][C]154.468[/C][/ROW]
[ROW][C]105[/C][C]4875[/C][C]4927.18[/C][C]4992.08[/C][C]-64.9074[/C][C]-52.1759[/C][/ROW]
[ROW][C]106[/C][C]5170[/C][C]5158.43[/C][C]5044.17[/C][C]114.259[/C][C]11.5741[/C][/ROW]
[ROW][C]107[/C][C]4715[/C][C]4691[/C][C]5072.71[/C][C]-381.713[/C][C]24.0046[/C][/ROW]
[ROW][C]108[/C][C]4370[/C][C]4628.45[/C][C]5100.42[/C][C]-471.968[/C][C]-258.449[/C][/ROW]
[ROW][C]109[/C][C]5160[/C][C]4957.94[/C][C]5125.21[/C][C]-167.269[/C][C]202.06[/C][/ROW]
[ROW][C]110[/C][C]4930[/C][C]NA[/C][C]NA[/C][C]-272.433[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]5600[/C][C]NA[/C][C]NA[/C][C]379.129[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5385[/C][C]NA[/C][C]NA[/C][C]147.436[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5425[/C][C]NA[/C][C]NA[/C][C]328.478[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5375[/C][C]NA[/C][C]NA[/C][C]263.478[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5365[/C][C]NA[/C][C]NA[/C][C]-27.1065[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298136&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298136&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
13875NANA-167.269NA
23755NANA-272.433NA
34670NANA379.129NA
44335NANA147.436NA
54945NANA328.478NA
64600NANA263.478NA
743954409.774436.88-27.1065-14.7685
843454655.744503.12152.616-310.741
943904504.054568.96-64.9074-114.051
1044904725.934611.67114.259-235.926
1143954244.544626.25-381.713150.463
1246904164.284636.25-471.968525.718
1345904479.814647.08-167.269110.185
1446304389.864662.29-272.433240.142
1553755047.254668.12379.129327.746
1646554822.234674.79147.436-167.228
1749755011.194682.71328.478-36.1863
1848104909.14645.63263.478-99.103
1944454579.144606.25-27.1065-134.144
2046604737.414584.79152.616-77.4074
2142154484.264549.17-64.9074-269.259
2248254648.434534.17114.259176.574
2342504159.754541.46-381.71390.2546
2439454064.284536.25-471.968-119.282
2543904374.614541.88-167.26915.3935
2643154288.194560.62-272.43326.8084
2748354964.344585.21379.129-129.337
2848354752.234604.79147.43682.772
2949704936.394607.92328.47833.6053
3046904878.064614.58263.478-188.061
3147004608.734635.83-27.106591.2731
3248554813.454660.83152.61641.5509
3346104619.684684.58-64.9074-9.67593
3449004832.384718.12114.25967.6157
3542504375.794757.5-381.713-125.787
3641054304.74776.67-471.968-199.699
3747404602.734770-167.269137.269
3845654479.234751.67-272.43385.7668
3951555121.214742.08379.12933.7876
4053204889.524742.08147.436430.48
4154305066.394737.92328.478363.605
4246905009.944746.46263.478-319.936
4345404726.444753.54-27.1065-186.435
4445754903.454750.83152.616-328.449
4546604693.434758.33-64.9074-33.4259
4648504870.724756.46114.259-20.7176
4742004352.454734.17-381.713-152.454
4843604291.994763.96-471.96868.0093
4946554670.234837.5-167.269-15.2315
5045854614.864887.29-272.433-29.8582
5153155307.254928.12379.1297.74595
5251155110.774963.33147.4364.23032
5351005327.644999.17328.478-227.645
5457355322.445058.96263.478412.564
5552605067.895095-27.1065192.106
5650505255.535102.92152.616-205.532
5751655059.685124.58-64.9074105.324
5851905252.385138.12114.259-62.3843
5947204767.455149.17-381.713-47.4537
6052754678.245150.21-471.968596.759
6146054962.735130-167.269-357.731
6248254861.945134.38-272.433-36.9416
6355955535.85156.67379.12959.2043
6451605308.065160.62147.436-148.061
6553205494.525166.04328.478-174.52
6655405406.815143.33263.478133.189
6749705101.855128.96-27.1065-131.852
6854455301.575148.96152.616143.426
6953055097.385162.29-64.9074207.616
7051455287.595173.33114.259-142.593
7148954799.125180.83-381.71395.8796
7245554713.035185-471.968-158.032
7349805018.155185.42-167.269-38.1481
7449304916.735189.17-272.43313.2668
7558105562.885183.75379.129247.121
7652105325.565178.12147.436-115.561
7754505494.735166.25328.478-44.728
7855105403.485140263.478106.522
7950105096.025123.12-27.1065-86.0185
8054955259.75107.08152.616235.301
8151255009.055073.96-64.9074115.949
8251905159.885045.62114.25930.1157
8345654656.25037.92-381.713-91.2037
8442554557.415029.38-471.968-302.407
8548754850.655017.92-167.26924.3519
8646504739.655012.08-272.433-89.6499
8752955379.555000.42379.129-84.5457
8850455137.644990.21147.436-92.6447
8954305317.234988.75328.478112.772
9053255249.944986.46263.47875.0637
9149204946.234973.33-27.1065-26.2269
9254455102.24949.58152.616342.801
9348954849.884914.79-64.907445.1157
9451755003.844889.58114.259171.157
9545454493.294875-381.71351.713
9642204377.24849.17-471.968-157.199
9745954677.734845-167.269-82.7315
9843604573.614846.04-272.433-213.608
9947505215.84836.67379.129-465.796
10049854983.064835.62147.4361.93866
10151405170.984842.5328.478-30.978
10249955119.314855.83263.478-124.311
10351504858.524885.62-27.1065291.481
10452405085.534932.92152.616154.468
10548754927.184992.08-64.9074-52.1759
10651705158.435044.17114.25911.5741
107471546915072.71-381.71324.0046
10843704628.455100.42-471.968-258.449
10951604957.945125.21-167.269202.06
1104930NANA-272.433NA
1115600NANA379.129NA
1125385NANA147.436NA
1135425NANA328.478NA
1145375NANA263.478NA
1155365NANA-27.1065NA



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')