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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Dec 2016 13:54:45 +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/14/t148172009381ehjup2sgyb0ic.htm/, Retrieved Fri, 03 May 2024 17:08:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299381, Retrieved Fri, 03 May 2024 17:08:00 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact76
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-       [Classical Decomposition] [] [2016-12-14 12:54:45] [57f1f1af0ba442a9c0352eeef9ded060] [Current]
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Dataseries X:
4393.9
4248
4346.2
4351.7
4424.4
4468.4
4519.1
4518.2
4574.5
4509.6
4337.9
4441.8
4414.1
4465.9
4426
4518.8
4606.3
4647.4
4650.8
4650.2
4720.1
4655
4520.8
4617.3
4488.1
4527.4
4618.3
4642.8
4667.3
4640.6
4716.9
4719.4
4817.3
4764.5
4514.1
4625
4617.7
4361.3
4474.9
4623.8
4692
4672.1
4721.5
4784.6
4858.7
4813.3
4628.2
4710.4
4698.4
4631
4727.4
4719.9
4890.6
4839.9
4867.5
4898.3
4675.7
4981.9
4771.1
4827.8
4685
4646.1
4815
4911.8
4958.4
5019.4
5024.3
5035.8
5082.4
5179.2
4963.2
4951.3
4876.4
4812.1
5004.1
5093.8
5063.1
5078.6
5251.5
5263.2
5280.5
5386.1
5227.3
5149.5
5128.6
5087.7
5188.5
5084
5258.6
5348.9
5280
5374.2
5458.4
5315
5294.5
5341.4
5068
5156.9
5184.7
5280.7
5339
5377.7
5388.6
5443.6
5528.7
5539
5292
5351.5
5163.7
5105
5248.1
5370.9
5484.9
5510.7
5484.9
5567.8
5275.6




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=299381&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=299381&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299381&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
14393.9NANA-124.432NA
24248NANA-172.273NA
34346.2NANA-81.0895NA
44351.7NANA-31.0531NA
54424.4NANA33.5786NA
64468.4NANA42.5339NA
74519.14499.694428.6571.041619.4084
84518.24531.784438.5793.2101-13.5809
94574.54570.354450.97119.3784.14688
104509.64588.114461.26126.851-78.5133
114337.94415.864475.8-59.9441-77.9601
124441.84473.044490.84-17.8015-31.2402
134414.14379.364503.79-124.43234.7441
144465.94342.54514.78-172.273123.398
1544264445.254526.34-81.0895-19.2522
164518.84507.414538.47-31.053111.3865
174606.34585.724552.1533.578620.5755
184647.44609.614567.0842.533937.787
194650.84648.524577.4871.04162.28345
204650.24676.334583.1293.2101-26.1309
214720.14713.074593.7119.3787.02604
2246554733.734606.88126.851-78.7258
234520.84554.644614.58-59.9441-33.8392
244617.34599.044616.84-17.801518.2598
254488.14494.884619.31-124.432-6.7809
264527.44452.684624.95-172.27374.7233
274618.34550.794631.88-81.089567.5061
284642.84609.444640.5-31.053133.3573
294667.34678.364644.7833.5786-11.0578
304640.64687.354644.8242.5339-46.7547
314716.94721.584650.5471.0416-4.68322
324719.44742.234649.0293.2101-22.8309
334817.34755.54636.12119.37861.7969
344764.54756.214629.36126.8518.29086
354514.14569.654629.6-59.9441-55.5517
3646254614.144631.94-17.801510.864
374617.74509.014633.44-124.432108.69
384361.34464.084636.35-172.273-102.777
394474.94559.74640.79-81.0895-84.8022
404623.84613.54644.55-31.053110.3031
4146924684.924651.3433.57867.08385
424672.14702.184659.6542.5339-30.0839
434721.54737.614666.5771.0416-16.1124
444784.64774.384681.1793.210110.2191
454858.74822.314702.93119.37836.3927
464813.34844.34717.45126.851-31.005
474628.24669.794729.73-59.9441-41.5892
484710.44727.24745-17.8015-16.7985
494698.44633.644758.08-124.43264.7566
5046314596.624768.9-172.27334.3774
514727.44684.924766.01-81.089542.4811
524719.94734.364765.41-31.0531-14.4552
534890.64811.974778.3933.578678.6339
544839.94831.774789.2342.53398.13281
554867.54864.614793.5771.04162.89178
564898.34886.854793.6493.210111.4524
574675.74917.294797.92119.378-241.595
584981.94936.414809.56126.85145.4867
594771.14760.444820.38-59.944110.6608
604827.84812.894830.69-17.801514.914
6146854720.274844.7-124.432-35.2684
624646.14684.694856.96-172.273-38.5892
6348154798.554879.64-81.089516.452
644911.84873.754904.8-31.053138.049
654958.44954.614921.0333.57863.79219
665019.44976.714934.1842.533942.687
675024.35018.344947.371.04165.95845
685035.85055.44962.1993.2101-19.6017
695082.45096.374976.99119.378-13.9656
705179.25119.34992.45126.85159.8992
714963.24944.455004.4-59.944118.7483
724951.34993.425011.22-17.8015-42.1235
734876.44898.735023.16-124.432-22.3267
744812.14869.835042.1-172.273-57.7267
755004.14978.745059.83-81.089525.3603
765093.85045.655076.7-31.053148.149
775063.15129.915096.3333.5786-66.8078
785078.65158.135115.5942.5339-79.5255
795251.55205.45134.3671.041646.1001
805263.25249.565156.3593.210113.6399
815280.55294.895175.52119.378-14.3948
825386.15309.645182.79126.85176.4575
835227.35130.595190.53-59.944196.7149
845149.55192.145209.94-17.8015-42.636
855128.65097.965222.39-124.43230.6441
865087.75055.935228.2-172.27331.7733
875188.55159.155240.24-81.089529.352
8850845213.635244.69-31.0531-129.634
895258.65278.15244.5233.5786-19.5036
905348.95297.855255.3242.533951.0453
9152805331.835260.7971.0416-51.8332
925374.25354.365261.1593.210119.8399
935458.45383.255263.87119.37875.1469
9453155398.765271.91126.851-83.7633
955294.55223.515283.46-59.944170.9858
965341.45270.215288.01-17.801571.1932
9750685169.35293.73-124.432-101.302
985156.95128.885301.15-172.27328.0233
995184.75225.885306.97-81.0895-41.1814
1005280.75288.185319.23-31.0531-7.48021
10153395362.045328.4633.5786-23.0411
1025377.75371.315328.7842.53396.38698
1035388.65404.235333.1971.0416-15.6291
1045443.65428.225335.0193.210115.3774
1055528.75454.875335.49119.37873.8302
10655395468.745341.89126.85170.2575
10752925291.795351.73-59.94410.214931
1085351.55345.555363.35-17.80155.9515
1095163.75248.475372.9-124.432-84.7726
11051055209.825382.09-172.273-104.818
1115248.15295.635376.72-81.0895-47.5314
1125370.9NANA-31.0531NA
1135484.9NANA33.5786NA
1145510.7NANA42.5339NA
1155484.9NANA71.0416NA
1165567.8NANA93.2101NA
1175275.6NANA119.378NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4393.9 & NA & NA & -124.432 & NA \tabularnewline
2 & 4248 & NA & NA & -172.273 & NA \tabularnewline
3 & 4346.2 & NA & NA & -81.0895 & NA \tabularnewline
4 & 4351.7 & NA & NA & -31.0531 & NA \tabularnewline
5 & 4424.4 & NA & NA & 33.5786 & NA \tabularnewline
6 & 4468.4 & NA & NA & 42.5339 & NA \tabularnewline
7 & 4519.1 & 4499.69 & 4428.65 & 71.0416 & 19.4084 \tabularnewline
8 & 4518.2 & 4531.78 & 4438.57 & 93.2101 & -13.5809 \tabularnewline
9 & 4574.5 & 4570.35 & 4450.97 & 119.378 & 4.14688 \tabularnewline
10 & 4509.6 & 4588.11 & 4461.26 & 126.851 & -78.5133 \tabularnewline
11 & 4337.9 & 4415.86 & 4475.8 & -59.9441 & -77.9601 \tabularnewline
12 & 4441.8 & 4473.04 & 4490.84 & -17.8015 & -31.2402 \tabularnewline
13 & 4414.1 & 4379.36 & 4503.79 & -124.432 & 34.7441 \tabularnewline
14 & 4465.9 & 4342.5 & 4514.78 & -172.273 & 123.398 \tabularnewline
15 & 4426 & 4445.25 & 4526.34 & -81.0895 & -19.2522 \tabularnewline
16 & 4518.8 & 4507.41 & 4538.47 & -31.0531 & 11.3865 \tabularnewline
17 & 4606.3 & 4585.72 & 4552.15 & 33.5786 & 20.5755 \tabularnewline
18 & 4647.4 & 4609.61 & 4567.08 & 42.5339 & 37.787 \tabularnewline
19 & 4650.8 & 4648.52 & 4577.48 & 71.0416 & 2.28345 \tabularnewline
20 & 4650.2 & 4676.33 & 4583.12 & 93.2101 & -26.1309 \tabularnewline
21 & 4720.1 & 4713.07 & 4593.7 & 119.378 & 7.02604 \tabularnewline
22 & 4655 & 4733.73 & 4606.88 & 126.851 & -78.7258 \tabularnewline
23 & 4520.8 & 4554.64 & 4614.58 & -59.9441 & -33.8392 \tabularnewline
24 & 4617.3 & 4599.04 & 4616.84 & -17.8015 & 18.2598 \tabularnewline
25 & 4488.1 & 4494.88 & 4619.31 & -124.432 & -6.7809 \tabularnewline
26 & 4527.4 & 4452.68 & 4624.95 & -172.273 & 74.7233 \tabularnewline
27 & 4618.3 & 4550.79 & 4631.88 & -81.0895 & 67.5061 \tabularnewline
28 & 4642.8 & 4609.44 & 4640.5 & -31.0531 & 33.3573 \tabularnewline
29 & 4667.3 & 4678.36 & 4644.78 & 33.5786 & -11.0578 \tabularnewline
30 & 4640.6 & 4687.35 & 4644.82 & 42.5339 & -46.7547 \tabularnewline
31 & 4716.9 & 4721.58 & 4650.54 & 71.0416 & -4.68322 \tabularnewline
32 & 4719.4 & 4742.23 & 4649.02 & 93.2101 & -22.8309 \tabularnewline
33 & 4817.3 & 4755.5 & 4636.12 & 119.378 & 61.7969 \tabularnewline
34 & 4764.5 & 4756.21 & 4629.36 & 126.851 & 8.29086 \tabularnewline
35 & 4514.1 & 4569.65 & 4629.6 & -59.9441 & -55.5517 \tabularnewline
36 & 4625 & 4614.14 & 4631.94 & -17.8015 & 10.864 \tabularnewline
37 & 4617.7 & 4509.01 & 4633.44 & -124.432 & 108.69 \tabularnewline
38 & 4361.3 & 4464.08 & 4636.35 & -172.273 & -102.777 \tabularnewline
39 & 4474.9 & 4559.7 & 4640.79 & -81.0895 & -84.8022 \tabularnewline
40 & 4623.8 & 4613.5 & 4644.55 & -31.0531 & 10.3031 \tabularnewline
41 & 4692 & 4684.92 & 4651.34 & 33.5786 & 7.08385 \tabularnewline
42 & 4672.1 & 4702.18 & 4659.65 & 42.5339 & -30.0839 \tabularnewline
43 & 4721.5 & 4737.61 & 4666.57 & 71.0416 & -16.1124 \tabularnewline
44 & 4784.6 & 4774.38 & 4681.17 & 93.2101 & 10.2191 \tabularnewline
45 & 4858.7 & 4822.31 & 4702.93 & 119.378 & 36.3927 \tabularnewline
46 & 4813.3 & 4844.3 & 4717.45 & 126.851 & -31.005 \tabularnewline
47 & 4628.2 & 4669.79 & 4729.73 & -59.9441 & -41.5892 \tabularnewline
48 & 4710.4 & 4727.2 & 4745 & -17.8015 & -16.7985 \tabularnewline
49 & 4698.4 & 4633.64 & 4758.08 & -124.432 & 64.7566 \tabularnewline
50 & 4631 & 4596.62 & 4768.9 & -172.273 & 34.3774 \tabularnewline
51 & 4727.4 & 4684.92 & 4766.01 & -81.0895 & 42.4811 \tabularnewline
52 & 4719.9 & 4734.36 & 4765.41 & -31.0531 & -14.4552 \tabularnewline
53 & 4890.6 & 4811.97 & 4778.39 & 33.5786 & 78.6339 \tabularnewline
54 & 4839.9 & 4831.77 & 4789.23 & 42.5339 & 8.13281 \tabularnewline
55 & 4867.5 & 4864.61 & 4793.57 & 71.0416 & 2.89178 \tabularnewline
56 & 4898.3 & 4886.85 & 4793.64 & 93.2101 & 11.4524 \tabularnewline
57 & 4675.7 & 4917.29 & 4797.92 & 119.378 & -241.595 \tabularnewline
58 & 4981.9 & 4936.41 & 4809.56 & 126.851 & 45.4867 \tabularnewline
59 & 4771.1 & 4760.44 & 4820.38 & -59.9441 & 10.6608 \tabularnewline
60 & 4827.8 & 4812.89 & 4830.69 & -17.8015 & 14.914 \tabularnewline
61 & 4685 & 4720.27 & 4844.7 & -124.432 & -35.2684 \tabularnewline
62 & 4646.1 & 4684.69 & 4856.96 & -172.273 & -38.5892 \tabularnewline
63 & 4815 & 4798.55 & 4879.64 & -81.0895 & 16.452 \tabularnewline
64 & 4911.8 & 4873.75 & 4904.8 & -31.0531 & 38.049 \tabularnewline
65 & 4958.4 & 4954.61 & 4921.03 & 33.5786 & 3.79219 \tabularnewline
66 & 5019.4 & 4976.71 & 4934.18 & 42.5339 & 42.687 \tabularnewline
67 & 5024.3 & 5018.34 & 4947.3 & 71.0416 & 5.95845 \tabularnewline
68 & 5035.8 & 5055.4 & 4962.19 & 93.2101 & -19.6017 \tabularnewline
69 & 5082.4 & 5096.37 & 4976.99 & 119.378 & -13.9656 \tabularnewline
70 & 5179.2 & 5119.3 & 4992.45 & 126.851 & 59.8992 \tabularnewline
71 & 4963.2 & 4944.45 & 5004.4 & -59.9441 & 18.7483 \tabularnewline
72 & 4951.3 & 4993.42 & 5011.22 & -17.8015 & -42.1235 \tabularnewline
73 & 4876.4 & 4898.73 & 5023.16 & -124.432 & -22.3267 \tabularnewline
74 & 4812.1 & 4869.83 & 5042.1 & -172.273 & -57.7267 \tabularnewline
75 & 5004.1 & 4978.74 & 5059.83 & -81.0895 & 25.3603 \tabularnewline
76 & 5093.8 & 5045.65 & 5076.7 & -31.0531 & 48.149 \tabularnewline
77 & 5063.1 & 5129.91 & 5096.33 & 33.5786 & -66.8078 \tabularnewline
78 & 5078.6 & 5158.13 & 5115.59 & 42.5339 & -79.5255 \tabularnewline
79 & 5251.5 & 5205.4 & 5134.36 & 71.0416 & 46.1001 \tabularnewline
80 & 5263.2 & 5249.56 & 5156.35 & 93.2101 & 13.6399 \tabularnewline
81 & 5280.5 & 5294.89 & 5175.52 & 119.378 & -14.3948 \tabularnewline
82 & 5386.1 & 5309.64 & 5182.79 & 126.851 & 76.4575 \tabularnewline
83 & 5227.3 & 5130.59 & 5190.53 & -59.9441 & 96.7149 \tabularnewline
84 & 5149.5 & 5192.14 & 5209.94 & -17.8015 & -42.636 \tabularnewline
85 & 5128.6 & 5097.96 & 5222.39 & -124.432 & 30.6441 \tabularnewline
86 & 5087.7 & 5055.93 & 5228.2 & -172.273 & 31.7733 \tabularnewline
87 & 5188.5 & 5159.15 & 5240.24 & -81.0895 & 29.352 \tabularnewline
88 & 5084 & 5213.63 & 5244.69 & -31.0531 & -129.634 \tabularnewline
89 & 5258.6 & 5278.1 & 5244.52 & 33.5786 & -19.5036 \tabularnewline
90 & 5348.9 & 5297.85 & 5255.32 & 42.5339 & 51.0453 \tabularnewline
91 & 5280 & 5331.83 & 5260.79 & 71.0416 & -51.8332 \tabularnewline
92 & 5374.2 & 5354.36 & 5261.15 & 93.2101 & 19.8399 \tabularnewline
93 & 5458.4 & 5383.25 & 5263.87 & 119.378 & 75.1469 \tabularnewline
94 & 5315 & 5398.76 & 5271.91 & 126.851 & -83.7633 \tabularnewline
95 & 5294.5 & 5223.51 & 5283.46 & -59.9441 & 70.9858 \tabularnewline
96 & 5341.4 & 5270.21 & 5288.01 & -17.8015 & 71.1932 \tabularnewline
97 & 5068 & 5169.3 & 5293.73 & -124.432 & -101.302 \tabularnewline
98 & 5156.9 & 5128.88 & 5301.15 & -172.273 & 28.0233 \tabularnewline
99 & 5184.7 & 5225.88 & 5306.97 & -81.0895 & -41.1814 \tabularnewline
100 & 5280.7 & 5288.18 & 5319.23 & -31.0531 & -7.48021 \tabularnewline
101 & 5339 & 5362.04 & 5328.46 & 33.5786 & -23.0411 \tabularnewline
102 & 5377.7 & 5371.31 & 5328.78 & 42.5339 & 6.38698 \tabularnewline
103 & 5388.6 & 5404.23 & 5333.19 & 71.0416 & -15.6291 \tabularnewline
104 & 5443.6 & 5428.22 & 5335.01 & 93.2101 & 15.3774 \tabularnewline
105 & 5528.7 & 5454.87 & 5335.49 & 119.378 & 73.8302 \tabularnewline
106 & 5539 & 5468.74 & 5341.89 & 126.851 & 70.2575 \tabularnewline
107 & 5292 & 5291.79 & 5351.73 & -59.9441 & 0.214931 \tabularnewline
108 & 5351.5 & 5345.55 & 5363.35 & -17.8015 & 5.9515 \tabularnewline
109 & 5163.7 & 5248.47 & 5372.9 & -124.432 & -84.7726 \tabularnewline
110 & 5105 & 5209.82 & 5382.09 & -172.273 & -104.818 \tabularnewline
111 & 5248.1 & 5295.63 & 5376.72 & -81.0895 & -47.5314 \tabularnewline
112 & 5370.9 & NA & NA & -31.0531 & NA \tabularnewline
113 & 5484.9 & NA & NA & 33.5786 & NA \tabularnewline
114 & 5510.7 & NA & NA & 42.5339 & NA \tabularnewline
115 & 5484.9 & NA & NA & 71.0416 & NA \tabularnewline
116 & 5567.8 & NA & NA & 93.2101 & NA \tabularnewline
117 & 5275.6 & NA & NA & 119.378 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299381&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]4393.9[/C][C]NA[/C][C]NA[/C][C]-124.432[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4248[/C][C]NA[/C][C]NA[/C][C]-172.273[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4346.2[/C][C]NA[/C][C]NA[/C][C]-81.0895[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4351.7[/C][C]NA[/C][C]NA[/C][C]-31.0531[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4424.4[/C][C]NA[/C][C]NA[/C][C]33.5786[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4468.4[/C][C]NA[/C][C]NA[/C][C]42.5339[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4519.1[/C][C]4499.69[/C][C]4428.65[/C][C]71.0416[/C][C]19.4084[/C][/ROW]
[ROW][C]8[/C][C]4518.2[/C][C]4531.78[/C][C]4438.57[/C][C]93.2101[/C][C]-13.5809[/C][/ROW]
[ROW][C]9[/C][C]4574.5[/C][C]4570.35[/C][C]4450.97[/C][C]119.378[/C][C]4.14688[/C][/ROW]
[ROW][C]10[/C][C]4509.6[/C][C]4588.11[/C][C]4461.26[/C][C]126.851[/C][C]-78.5133[/C][/ROW]
[ROW][C]11[/C][C]4337.9[/C][C]4415.86[/C][C]4475.8[/C][C]-59.9441[/C][C]-77.9601[/C][/ROW]
[ROW][C]12[/C][C]4441.8[/C][C]4473.04[/C][C]4490.84[/C][C]-17.8015[/C][C]-31.2402[/C][/ROW]
[ROW][C]13[/C][C]4414.1[/C][C]4379.36[/C][C]4503.79[/C][C]-124.432[/C][C]34.7441[/C][/ROW]
[ROW][C]14[/C][C]4465.9[/C][C]4342.5[/C][C]4514.78[/C][C]-172.273[/C][C]123.398[/C][/ROW]
[ROW][C]15[/C][C]4426[/C][C]4445.25[/C][C]4526.34[/C][C]-81.0895[/C][C]-19.2522[/C][/ROW]
[ROW][C]16[/C][C]4518.8[/C][C]4507.41[/C][C]4538.47[/C][C]-31.0531[/C][C]11.3865[/C][/ROW]
[ROW][C]17[/C][C]4606.3[/C][C]4585.72[/C][C]4552.15[/C][C]33.5786[/C][C]20.5755[/C][/ROW]
[ROW][C]18[/C][C]4647.4[/C][C]4609.61[/C][C]4567.08[/C][C]42.5339[/C][C]37.787[/C][/ROW]
[ROW][C]19[/C][C]4650.8[/C][C]4648.52[/C][C]4577.48[/C][C]71.0416[/C][C]2.28345[/C][/ROW]
[ROW][C]20[/C][C]4650.2[/C][C]4676.33[/C][C]4583.12[/C][C]93.2101[/C][C]-26.1309[/C][/ROW]
[ROW][C]21[/C][C]4720.1[/C][C]4713.07[/C][C]4593.7[/C][C]119.378[/C][C]7.02604[/C][/ROW]
[ROW][C]22[/C][C]4655[/C][C]4733.73[/C][C]4606.88[/C][C]126.851[/C][C]-78.7258[/C][/ROW]
[ROW][C]23[/C][C]4520.8[/C][C]4554.64[/C][C]4614.58[/C][C]-59.9441[/C][C]-33.8392[/C][/ROW]
[ROW][C]24[/C][C]4617.3[/C][C]4599.04[/C][C]4616.84[/C][C]-17.8015[/C][C]18.2598[/C][/ROW]
[ROW][C]25[/C][C]4488.1[/C][C]4494.88[/C][C]4619.31[/C][C]-124.432[/C][C]-6.7809[/C][/ROW]
[ROW][C]26[/C][C]4527.4[/C][C]4452.68[/C][C]4624.95[/C][C]-172.273[/C][C]74.7233[/C][/ROW]
[ROW][C]27[/C][C]4618.3[/C][C]4550.79[/C][C]4631.88[/C][C]-81.0895[/C][C]67.5061[/C][/ROW]
[ROW][C]28[/C][C]4642.8[/C][C]4609.44[/C][C]4640.5[/C][C]-31.0531[/C][C]33.3573[/C][/ROW]
[ROW][C]29[/C][C]4667.3[/C][C]4678.36[/C][C]4644.78[/C][C]33.5786[/C][C]-11.0578[/C][/ROW]
[ROW][C]30[/C][C]4640.6[/C][C]4687.35[/C][C]4644.82[/C][C]42.5339[/C][C]-46.7547[/C][/ROW]
[ROW][C]31[/C][C]4716.9[/C][C]4721.58[/C][C]4650.54[/C][C]71.0416[/C][C]-4.68322[/C][/ROW]
[ROW][C]32[/C][C]4719.4[/C][C]4742.23[/C][C]4649.02[/C][C]93.2101[/C][C]-22.8309[/C][/ROW]
[ROW][C]33[/C][C]4817.3[/C][C]4755.5[/C][C]4636.12[/C][C]119.378[/C][C]61.7969[/C][/ROW]
[ROW][C]34[/C][C]4764.5[/C][C]4756.21[/C][C]4629.36[/C][C]126.851[/C][C]8.29086[/C][/ROW]
[ROW][C]35[/C][C]4514.1[/C][C]4569.65[/C][C]4629.6[/C][C]-59.9441[/C][C]-55.5517[/C][/ROW]
[ROW][C]36[/C][C]4625[/C][C]4614.14[/C][C]4631.94[/C][C]-17.8015[/C][C]10.864[/C][/ROW]
[ROW][C]37[/C][C]4617.7[/C][C]4509.01[/C][C]4633.44[/C][C]-124.432[/C][C]108.69[/C][/ROW]
[ROW][C]38[/C][C]4361.3[/C][C]4464.08[/C][C]4636.35[/C][C]-172.273[/C][C]-102.777[/C][/ROW]
[ROW][C]39[/C][C]4474.9[/C][C]4559.7[/C][C]4640.79[/C][C]-81.0895[/C][C]-84.8022[/C][/ROW]
[ROW][C]40[/C][C]4623.8[/C][C]4613.5[/C][C]4644.55[/C][C]-31.0531[/C][C]10.3031[/C][/ROW]
[ROW][C]41[/C][C]4692[/C][C]4684.92[/C][C]4651.34[/C][C]33.5786[/C][C]7.08385[/C][/ROW]
[ROW][C]42[/C][C]4672.1[/C][C]4702.18[/C][C]4659.65[/C][C]42.5339[/C][C]-30.0839[/C][/ROW]
[ROW][C]43[/C][C]4721.5[/C][C]4737.61[/C][C]4666.57[/C][C]71.0416[/C][C]-16.1124[/C][/ROW]
[ROW][C]44[/C][C]4784.6[/C][C]4774.38[/C][C]4681.17[/C][C]93.2101[/C][C]10.2191[/C][/ROW]
[ROW][C]45[/C][C]4858.7[/C][C]4822.31[/C][C]4702.93[/C][C]119.378[/C][C]36.3927[/C][/ROW]
[ROW][C]46[/C][C]4813.3[/C][C]4844.3[/C][C]4717.45[/C][C]126.851[/C][C]-31.005[/C][/ROW]
[ROW][C]47[/C][C]4628.2[/C][C]4669.79[/C][C]4729.73[/C][C]-59.9441[/C][C]-41.5892[/C][/ROW]
[ROW][C]48[/C][C]4710.4[/C][C]4727.2[/C][C]4745[/C][C]-17.8015[/C][C]-16.7985[/C][/ROW]
[ROW][C]49[/C][C]4698.4[/C][C]4633.64[/C][C]4758.08[/C][C]-124.432[/C][C]64.7566[/C][/ROW]
[ROW][C]50[/C][C]4631[/C][C]4596.62[/C][C]4768.9[/C][C]-172.273[/C][C]34.3774[/C][/ROW]
[ROW][C]51[/C][C]4727.4[/C][C]4684.92[/C][C]4766.01[/C][C]-81.0895[/C][C]42.4811[/C][/ROW]
[ROW][C]52[/C][C]4719.9[/C][C]4734.36[/C][C]4765.41[/C][C]-31.0531[/C][C]-14.4552[/C][/ROW]
[ROW][C]53[/C][C]4890.6[/C][C]4811.97[/C][C]4778.39[/C][C]33.5786[/C][C]78.6339[/C][/ROW]
[ROW][C]54[/C][C]4839.9[/C][C]4831.77[/C][C]4789.23[/C][C]42.5339[/C][C]8.13281[/C][/ROW]
[ROW][C]55[/C][C]4867.5[/C][C]4864.61[/C][C]4793.57[/C][C]71.0416[/C][C]2.89178[/C][/ROW]
[ROW][C]56[/C][C]4898.3[/C][C]4886.85[/C][C]4793.64[/C][C]93.2101[/C][C]11.4524[/C][/ROW]
[ROW][C]57[/C][C]4675.7[/C][C]4917.29[/C][C]4797.92[/C][C]119.378[/C][C]-241.595[/C][/ROW]
[ROW][C]58[/C][C]4981.9[/C][C]4936.41[/C][C]4809.56[/C][C]126.851[/C][C]45.4867[/C][/ROW]
[ROW][C]59[/C][C]4771.1[/C][C]4760.44[/C][C]4820.38[/C][C]-59.9441[/C][C]10.6608[/C][/ROW]
[ROW][C]60[/C][C]4827.8[/C][C]4812.89[/C][C]4830.69[/C][C]-17.8015[/C][C]14.914[/C][/ROW]
[ROW][C]61[/C][C]4685[/C][C]4720.27[/C][C]4844.7[/C][C]-124.432[/C][C]-35.2684[/C][/ROW]
[ROW][C]62[/C][C]4646.1[/C][C]4684.69[/C][C]4856.96[/C][C]-172.273[/C][C]-38.5892[/C][/ROW]
[ROW][C]63[/C][C]4815[/C][C]4798.55[/C][C]4879.64[/C][C]-81.0895[/C][C]16.452[/C][/ROW]
[ROW][C]64[/C][C]4911.8[/C][C]4873.75[/C][C]4904.8[/C][C]-31.0531[/C][C]38.049[/C][/ROW]
[ROW][C]65[/C][C]4958.4[/C][C]4954.61[/C][C]4921.03[/C][C]33.5786[/C][C]3.79219[/C][/ROW]
[ROW][C]66[/C][C]5019.4[/C][C]4976.71[/C][C]4934.18[/C][C]42.5339[/C][C]42.687[/C][/ROW]
[ROW][C]67[/C][C]5024.3[/C][C]5018.34[/C][C]4947.3[/C][C]71.0416[/C][C]5.95845[/C][/ROW]
[ROW][C]68[/C][C]5035.8[/C][C]5055.4[/C][C]4962.19[/C][C]93.2101[/C][C]-19.6017[/C][/ROW]
[ROW][C]69[/C][C]5082.4[/C][C]5096.37[/C][C]4976.99[/C][C]119.378[/C][C]-13.9656[/C][/ROW]
[ROW][C]70[/C][C]5179.2[/C][C]5119.3[/C][C]4992.45[/C][C]126.851[/C][C]59.8992[/C][/ROW]
[ROW][C]71[/C][C]4963.2[/C][C]4944.45[/C][C]5004.4[/C][C]-59.9441[/C][C]18.7483[/C][/ROW]
[ROW][C]72[/C][C]4951.3[/C][C]4993.42[/C][C]5011.22[/C][C]-17.8015[/C][C]-42.1235[/C][/ROW]
[ROW][C]73[/C][C]4876.4[/C][C]4898.73[/C][C]5023.16[/C][C]-124.432[/C][C]-22.3267[/C][/ROW]
[ROW][C]74[/C][C]4812.1[/C][C]4869.83[/C][C]5042.1[/C][C]-172.273[/C][C]-57.7267[/C][/ROW]
[ROW][C]75[/C][C]5004.1[/C][C]4978.74[/C][C]5059.83[/C][C]-81.0895[/C][C]25.3603[/C][/ROW]
[ROW][C]76[/C][C]5093.8[/C][C]5045.65[/C][C]5076.7[/C][C]-31.0531[/C][C]48.149[/C][/ROW]
[ROW][C]77[/C][C]5063.1[/C][C]5129.91[/C][C]5096.33[/C][C]33.5786[/C][C]-66.8078[/C][/ROW]
[ROW][C]78[/C][C]5078.6[/C][C]5158.13[/C][C]5115.59[/C][C]42.5339[/C][C]-79.5255[/C][/ROW]
[ROW][C]79[/C][C]5251.5[/C][C]5205.4[/C][C]5134.36[/C][C]71.0416[/C][C]46.1001[/C][/ROW]
[ROW][C]80[/C][C]5263.2[/C][C]5249.56[/C][C]5156.35[/C][C]93.2101[/C][C]13.6399[/C][/ROW]
[ROW][C]81[/C][C]5280.5[/C][C]5294.89[/C][C]5175.52[/C][C]119.378[/C][C]-14.3948[/C][/ROW]
[ROW][C]82[/C][C]5386.1[/C][C]5309.64[/C][C]5182.79[/C][C]126.851[/C][C]76.4575[/C][/ROW]
[ROW][C]83[/C][C]5227.3[/C][C]5130.59[/C][C]5190.53[/C][C]-59.9441[/C][C]96.7149[/C][/ROW]
[ROW][C]84[/C][C]5149.5[/C][C]5192.14[/C][C]5209.94[/C][C]-17.8015[/C][C]-42.636[/C][/ROW]
[ROW][C]85[/C][C]5128.6[/C][C]5097.96[/C][C]5222.39[/C][C]-124.432[/C][C]30.6441[/C][/ROW]
[ROW][C]86[/C][C]5087.7[/C][C]5055.93[/C][C]5228.2[/C][C]-172.273[/C][C]31.7733[/C][/ROW]
[ROW][C]87[/C][C]5188.5[/C][C]5159.15[/C][C]5240.24[/C][C]-81.0895[/C][C]29.352[/C][/ROW]
[ROW][C]88[/C][C]5084[/C][C]5213.63[/C][C]5244.69[/C][C]-31.0531[/C][C]-129.634[/C][/ROW]
[ROW][C]89[/C][C]5258.6[/C][C]5278.1[/C][C]5244.52[/C][C]33.5786[/C][C]-19.5036[/C][/ROW]
[ROW][C]90[/C][C]5348.9[/C][C]5297.85[/C][C]5255.32[/C][C]42.5339[/C][C]51.0453[/C][/ROW]
[ROW][C]91[/C][C]5280[/C][C]5331.83[/C][C]5260.79[/C][C]71.0416[/C][C]-51.8332[/C][/ROW]
[ROW][C]92[/C][C]5374.2[/C][C]5354.36[/C][C]5261.15[/C][C]93.2101[/C][C]19.8399[/C][/ROW]
[ROW][C]93[/C][C]5458.4[/C][C]5383.25[/C][C]5263.87[/C][C]119.378[/C][C]75.1469[/C][/ROW]
[ROW][C]94[/C][C]5315[/C][C]5398.76[/C][C]5271.91[/C][C]126.851[/C][C]-83.7633[/C][/ROW]
[ROW][C]95[/C][C]5294.5[/C][C]5223.51[/C][C]5283.46[/C][C]-59.9441[/C][C]70.9858[/C][/ROW]
[ROW][C]96[/C][C]5341.4[/C][C]5270.21[/C][C]5288.01[/C][C]-17.8015[/C][C]71.1932[/C][/ROW]
[ROW][C]97[/C][C]5068[/C][C]5169.3[/C][C]5293.73[/C][C]-124.432[/C][C]-101.302[/C][/ROW]
[ROW][C]98[/C][C]5156.9[/C][C]5128.88[/C][C]5301.15[/C][C]-172.273[/C][C]28.0233[/C][/ROW]
[ROW][C]99[/C][C]5184.7[/C][C]5225.88[/C][C]5306.97[/C][C]-81.0895[/C][C]-41.1814[/C][/ROW]
[ROW][C]100[/C][C]5280.7[/C][C]5288.18[/C][C]5319.23[/C][C]-31.0531[/C][C]-7.48021[/C][/ROW]
[ROW][C]101[/C][C]5339[/C][C]5362.04[/C][C]5328.46[/C][C]33.5786[/C][C]-23.0411[/C][/ROW]
[ROW][C]102[/C][C]5377.7[/C][C]5371.31[/C][C]5328.78[/C][C]42.5339[/C][C]6.38698[/C][/ROW]
[ROW][C]103[/C][C]5388.6[/C][C]5404.23[/C][C]5333.19[/C][C]71.0416[/C][C]-15.6291[/C][/ROW]
[ROW][C]104[/C][C]5443.6[/C][C]5428.22[/C][C]5335.01[/C][C]93.2101[/C][C]15.3774[/C][/ROW]
[ROW][C]105[/C][C]5528.7[/C][C]5454.87[/C][C]5335.49[/C][C]119.378[/C][C]73.8302[/C][/ROW]
[ROW][C]106[/C][C]5539[/C][C]5468.74[/C][C]5341.89[/C][C]126.851[/C][C]70.2575[/C][/ROW]
[ROW][C]107[/C][C]5292[/C][C]5291.79[/C][C]5351.73[/C][C]-59.9441[/C][C]0.214931[/C][/ROW]
[ROW][C]108[/C][C]5351.5[/C][C]5345.55[/C][C]5363.35[/C][C]-17.8015[/C][C]5.9515[/C][/ROW]
[ROW][C]109[/C][C]5163.7[/C][C]5248.47[/C][C]5372.9[/C][C]-124.432[/C][C]-84.7726[/C][/ROW]
[ROW][C]110[/C][C]5105[/C][C]5209.82[/C][C]5382.09[/C][C]-172.273[/C][C]-104.818[/C][/ROW]
[ROW][C]111[/C][C]5248.1[/C][C]5295.63[/C][C]5376.72[/C][C]-81.0895[/C][C]-47.5314[/C][/ROW]
[ROW][C]112[/C][C]5370.9[/C][C]NA[/C][C]NA[/C][C]-31.0531[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5484.9[/C][C]NA[/C][C]NA[/C][C]33.5786[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5510.7[/C][C]NA[/C][C]NA[/C][C]42.5339[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5484.9[/C][C]NA[/C][C]NA[/C][C]71.0416[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5567.8[/C][C]NA[/C][C]NA[/C][C]93.2101[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]5275.6[/C][C]NA[/C][C]NA[/C][C]119.378[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299381&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299381&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
14393.9NANA-124.432NA
24248NANA-172.273NA
34346.2NANA-81.0895NA
44351.7NANA-31.0531NA
54424.4NANA33.5786NA
64468.4NANA42.5339NA
74519.14499.694428.6571.041619.4084
84518.24531.784438.5793.2101-13.5809
94574.54570.354450.97119.3784.14688
104509.64588.114461.26126.851-78.5133
114337.94415.864475.8-59.9441-77.9601
124441.84473.044490.84-17.8015-31.2402
134414.14379.364503.79-124.43234.7441
144465.94342.54514.78-172.273123.398
1544264445.254526.34-81.0895-19.2522
164518.84507.414538.47-31.053111.3865
174606.34585.724552.1533.578620.5755
184647.44609.614567.0842.533937.787
194650.84648.524577.4871.04162.28345
204650.24676.334583.1293.2101-26.1309
214720.14713.074593.7119.3787.02604
2246554733.734606.88126.851-78.7258
234520.84554.644614.58-59.9441-33.8392
244617.34599.044616.84-17.801518.2598
254488.14494.884619.31-124.432-6.7809
264527.44452.684624.95-172.27374.7233
274618.34550.794631.88-81.089567.5061
284642.84609.444640.5-31.053133.3573
294667.34678.364644.7833.5786-11.0578
304640.64687.354644.8242.5339-46.7547
314716.94721.584650.5471.0416-4.68322
324719.44742.234649.0293.2101-22.8309
334817.34755.54636.12119.37861.7969
344764.54756.214629.36126.8518.29086
354514.14569.654629.6-59.9441-55.5517
3646254614.144631.94-17.801510.864
374617.74509.014633.44-124.432108.69
384361.34464.084636.35-172.273-102.777
394474.94559.74640.79-81.0895-84.8022
404623.84613.54644.55-31.053110.3031
4146924684.924651.3433.57867.08385
424672.14702.184659.6542.5339-30.0839
434721.54737.614666.5771.0416-16.1124
444784.64774.384681.1793.210110.2191
454858.74822.314702.93119.37836.3927
464813.34844.34717.45126.851-31.005
474628.24669.794729.73-59.9441-41.5892
484710.44727.24745-17.8015-16.7985
494698.44633.644758.08-124.43264.7566
5046314596.624768.9-172.27334.3774
514727.44684.924766.01-81.089542.4811
524719.94734.364765.41-31.0531-14.4552
534890.64811.974778.3933.578678.6339
544839.94831.774789.2342.53398.13281
554867.54864.614793.5771.04162.89178
564898.34886.854793.6493.210111.4524
574675.74917.294797.92119.378-241.595
584981.94936.414809.56126.85145.4867
594771.14760.444820.38-59.944110.6608
604827.84812.894830.69-17.801514.914
6146854720.274844.7-124.432-35.2684
624646.14684.694856.96-172.273-38.5892
6348154798.554879.64-81.089516.452
644911.84873.754904.8-31.053138.049
654958.44954.614921.0333.57863.79219
665019.44976.714934.1842.533942.687
675024.35018.344947.371.04165.95845
685035.85055.44962.1993.2101-19.6017
695082.45096.374976.99119.378-13.9656
705179.25119.34992.45126.85159.8992
714963.24944.455004.4-59.944118.7483
724951.34993.425011.22-17.8015-42.1235
734876.44898.735023.16-124.432-22.3267
744812.14869.835042.1-172.273-57.7267
755004.14978.745059.83-81.089525.3603
765093.85045.655076.7-31.053148.149
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11051055209.825382.09-172.273-104.818
1115248.15295.635376.72-81.0895-47.5314
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1135484.9NANA33.5786NA
1145510.7NANA42.5339NA
1155484.9NANA71.0416NA
1165567.8NANA93.2101NA
1175275.6NANA119.378NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')