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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 19:24:30 +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/t1481136606r9zmccgouppti75.htm/, Retrieved Tue, 07 May 2024 12:13:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298298, Retrieved Tue, 07 May 2024 12:13:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56
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 18:24:30] [eb4d84c1d87d55f0f7005df013db0044] [Current]
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Dataseries X:
4164.5
4141.3
4194.85
4229.45
4294.7
4370.05
4366.1
4439.2
4470.25
4482.9
4529.1
4560.55
4573
4571.15
4658.5
4685.45
4651.8
4651.65
4676.65
4649.35
4618.35
4625.15
4625.75
4679.4
4617.55
4657
4719.55
4666.35
4713.15
4645.35
4630.9
4634
4592.95
4618.9
4718.45
4697.35
4737.1
4614.75
4494.75
4538.65
4534.55
4533.9
4461.15
4547.8
4586.45
4548.45
4588.9
4652.25
4662.3
4791.05
4794.8
4830.85
4855.25
4919.25
4995.6
4916.25
5010.2
5007.75
5040.85
5066.1
5083.6
5104.95
5188.65
5217.5
5224.2
5316.6
5317.1
5344.8
5332.55
5309.4
5369.9
5501.55
5539.45
5543.55
5532.35
5624.7
5611.55
5592.4
5503.4
5529.3
5490.3
5526.8
5533.75
5562.9
5681.55
5703.5
5768.2
5741.35
5740.8
5736.65
5738.2
5993.8
6001.65
6126.05
6074.35
5894.8
5877.7
5824.55
5713.7
5783.1
5842.5
5758.95
5794.55
5830.55
5810.45
5891.15
5880.85
5782.45
5753.3
5810.8
5867.3
5922.85
5934.55
6014.65
6058.8
5873.5




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=298298&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=298298&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298298&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
14164.5NANA0.331433NA
24141.3NANA-3.50653NA
34194.85NANA-1.73674NA
44229.45NANA11.1297NA
54294.7NANA7.48592NA
64370.05NANA-8.29976NA
74366.14347.394370.6-23.207918.7079
84439.24411.844405.536.3073627.3614
94470.254436.724442.76-6.0424133.532
104482.94484.284481.083.19717-1.37634
114529.14527.764514.9612.80431.33732
124560.554543.114541.571.5374517.4417
1345734566.584566.240.3314336.42482
144571.154584.434587.94-3.50653-13.2831
154658.54601.134602.87-1.7367457.3701
164685.454626.094614.9611.129759.3557
174651.84632.44624.927.4859219.3953
184651.654625.64633.9-8.2997626.0518
194676.654617.54640.71-23.207959.1517
204649.354652.454646.146.30736-3.09694
214618.354646.224652.26-6.04241-27.868
224625.154657.214654.013.19717-32.0555
234625.754668.574655.7712.8043-42.8231
244679.44659.64658.061.5374519.8
254617.554656.234655.890.331433-38.6752
2646574649.844653.35-3.506537.15861
274719.554649.914651.65-1.7367469.6367
284666.354661.464650.3311.12974.88908
294713.154661.424653.937.4859251.7307
304645.354650.244658.54-8.29976-4.89399
314630.94641.064664.27-23.2079-10.165
3246344673.84667.496.30736-39.8011
334592.954650.324656.37-6.04241-57.3743
344618.94644.884641.683.19717-25.9763
354718.454641.724628.9212.804376.729
364697.354618.374616.831.5374578.9813
374737.14605.454605.110.331433131.654
384614.754590.944594.45-3.5065323.8065
394494.754588.854590.59-1.73674-94.1008
404538.654598.514587.3811.1297-59.8609
414534.554586.534579.057.48592-51.9838
424533.94563.474571.77-8.29976-29.5711
434461.154543.574566.77-23.2079-82.4171
444547.84577.3145716.30736-29.5115
454586.454584.814590.85-6.042411.64033
464548.454618.734615.533.19717-70.2763
474588.94653.874641.0712.8043-64.971
484652.254672.024670.491.53745-19.7729
494662.34709.144708.810.331433-46.8418
504791.054742.924746.43-3.5065348.1253
514794.84777.74779.44-1.7367417.0972
524830.854827.364816.2311.12973.487
534855.254861.694854.27.48592-6.438
544919.254881.984890.28-8.2997637.2727
554995.64901.874925.08-23.207993.7329
564916.254962.024955.716.30736-45.7657
575010.24979.164985.2-6.0424131.0445
585007.755020.925017.723.19717-13.1659
595040.855062.015049.212.8043-21.1564
605066.15082.675081.131.53745-16.5687
615083.65111.415111.080.331433-27.8148
625104.955138.835142.34-3.50653-33.8789
635188.655171.895173.62-1.7367416.7638
645217.55210.755199.6211.12976.74742
655224.25233.395225.97.48592-9.188
665316.65249.465257.76-8.2997667.1435
675317.15271.695294.89-23.207945.4142
685344.85338.475332.166.307366.33014
695332.555358.725364.76-6.04241-26.1659
705309.45399.245396.053.19717-89.843
715369.95441.965429.1512.8043-72.0564
725501.555458.325456.781.5374543.2292
735539.455476.375476.040.33143363.0811
745543.555487.985491.49-3.5065355.569
755532.355504.015505.75-1.7367428.3388
765624.75532.515521.3811.129792.1912
775611.555544.755537.267.4859266.7995
785592.45538.355546.65-8.2997654.0518
795503.45531.925555.12-23.2079-28.5171
805529.35574.025567.716.30736-44.7178
815490.35578.165584.2-6.04241-87.8597
825526.85602.095598.893.19717-75.2868
835533.755621.945609.1412.8043-88.1898
845562.95622.075620.531.53745-59.1687
855681.555636.665636.320.33143344.8936
865703.55661.965665.46-3.5065341.544
875768.25704.395706.12-1.7367463.8138
885741.355763.535752.411.1297-22.1776
895740.85807.385799.897.48592-66.5776
905736.655827.955836.25-8.29976-91.2961
915738.25835.045858.25-23.2079-96.84
925993.85877.775871.466.30736116.028
936001.655868.25874.24-6.04241133.455
946126.055876.95873.713.19717249.147
956074.355892.495879.6812.8043181.862
965894.85886.395884.851.537458.41255
975877.75888.465888.130.331433-10.7585
985824.555880.175883.67-3.50653-55.6164
995713.75867.175868.9-1.73674-153.467
1005783.15862.285851.1511.1297-79.1797
1015842.55840.795833.37.485921.71408
1025758.955812.265820.56-8.29976-53.3065
1035794.555787.485810.69-23.20797.06625
1045830.555811.245804.946.3073619.3072
1055810.455804.725810.76-6.042415.72991
1065891.155826.185822.993.1971764.9674
1075880.855845.455832.6412.804335.4019
1085782.455848.675847.131.53745-66.2208
1095753.35869.135868.80.331433-115.829
1105810.85878.095881.6-3.50653-67.2914
1115867.3NANA-1.73674NA
1125922.85NANA11.1297NA
1135934.55NANA7.48592NA
1146014.65NANA-8.29976NA
1156058.8NANA-23.2079NA
1165873.5NANA6.30736NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4164.5 & NA & NA & 0.331433 & NA \tabularnewline
2 & 4141.3 & NA & NA & -3.50653 & NA \tabularnewline
3 & 4194.85 & NA & NA & -1.73674 & NA \tabularnewline
4 & 4229.45 & NA & NA & 11.1297 & NA \tabularnewline
5 & 4294.7 & NA & NA & 7.48592 & NA \tabularnewline
6 & 4370.05 & NA & NA & -8.29976 & NA \tabularnewline
7 & 4366.1 & 4347.39 & 4370.6 & -23.2079 & 18.7079 \tabularnewline
8 & 4439.2 & 4411.84 & 4405.53 & 6.30736 & 27.3614 \tabularnewline
9 & 4470.25 & 4436.72 & 4442.76 & -6.04241 & 33.532 \tabularnewline
10 & 4482.9 & 4484.28 & 4481.08 & 3.19717 & -1.37634 \tabularnewline
11 & 4529.1 & 4527.76 & 4514.96 & 12.8043 & 1.33732 \tabularnewline
12 & 4560.55 & 4543.11 & 4541.57 & 1.53745 & 17.4417 \tabularnewline
13 & 4573 & 4566.58 & 4566.24 & 0.331433 & 6.42482 \tabularnewline
14 & 4571.15 & 4584.43 & 4587.94 & -3.50653 & -13.2831 \tabularnewline
15 & 4658.5 & 4601.13 & 4602.87 & -1.73674 & 57.3701 \tabularnewline
16 & 4685.45 & 4626.09 & 4614.96 & 11.1297 & 59.3557 \tabularnewline
17 & 4651.8 & 4632.4 & 4624.92 & 7.48592 & 19.3953 \tabularnewline
18 & 4651.65 & 4625.6 & 4633.9 & -8.29976 & 26.0518 \tabularnewline
19 & 4676.65 & 4617.5 & 4640.71 & -23.2079 & 59.1517 \tabularnewline
20 & 4649.35 & 4652.45 & 4646.14 & 6.30736 & -3.09694 \tabularnewline
21 & 4618.35 & 4646.22 & 4652.26 & -6.04241 & -27.868 \tabularnewline
22 & 4625.15 & 4657.21 & 4654.01 & 3.19717 & -32.0555 \tabularnewline
23 & 4625.75 & 4668.57 & 4655.77 & 12.8043 & -42.8231 \tabularnewline
24 & 4679.4 & 4659.6 & 4658.06 & 1.53745 & 19.8 \tabularnewline
25 & 4617.55 & 4656.23 & 4655.89 & 0.331433 & -38.6752 \tabularnewline
26 & 4657 & 4649.84 & 4653.35 & -3.50653 & 7.15861 \tabularnewline
27 & 4719.55 & 4649.91 & 4651.65 & -1.73674 & 69.6367 \tabularnewline
28 & 4666.35 & 4661.46 & 4650.33 & 11.1297 & 4.88908 \tabularnewline
29 & 4713.15 & 4661.42 & 4653.93 & 7.48592 & 51.7307 \tabularnewline
30 & 4645.35 & 4650.24 & 4658.54 & -8.29976 & -4.89399 \tabularnewline
31 & 4630.9 & 4641.06 & 4664.27 & -23.2079 & -10.165 \tabularnewline
32 & 4634 & 4673.8 & 4667.49 & 6.30736 & -39.8011 \tabularnewline
33 & 4592.95 & 4650.32 & 4656.37 & -6.04241 & -57.3743 \tabularnewline
34 & 4618.9 & 4644.88 & 4641.68 & 3.19717 & -25.9763 \tabularnewline
35 & 4718.45 & 4641.72 & 4628.92 & 12.8043 & 76.729 \tabularnewline
36 & 4697.35 & 4618.37 & 4616.83 & 1.53745 & 78.9813 \tabularnewline
37 & 4737.1 & 4605.45 & 4605.11 & 0.331433 & 131.654 \tabularnewline
38 & 4614.75 & 4590.94 & 4594.45 & -3.50653 & 23.8065 \tabularnewline
39 & 4494.75 & 4588.85 & 4590.59 & -1.73674 & -94.1008 \tabularnewline
40 & 4538.65 & 4598.51 & 4587.38 & 11.1297 & -59.8609 \tabularnewline
41 & 4534.55 & 4586.53 & 4579.05 & 7.48592 & -51.9838 \tabularnewline
42 & 4533.9 & 4563.47 & 4571.77 & -8.29976 & -29.5711 \tabularnewline
43 & 4461.15 & 4543.57 & 4566.77 & -23.2079 & -82.4171 \tabularnewline
44 & 4547.8 & 4577.31 & 4571 & 6.30736 & -29.5115 \tabularnewline
45 & 4586.45 & 4584.81 & 4590.85 & -6.04241 & 1.64033 \tabularnewline
46 & 4548.45 & 4618.73 & 4615.53 & 3.19717 & -70.2763 \tabularnewline
47 & 4588.9 & 4653.87 & 4641.07 & 12.8043 & -64.971 \tabularnewline
48 & 4652.25 & 4672.02 & 4670.49 & 1.53745 & -19.7729 \tabularnewline
49 & 4662.3 & 4709.14 & 4708.81 & 0.331433 & -46.8418 \tabularnewline
50 & 4791.05 & 4742.92 & 4746.43 & -3.50653 & 48.1253 \tabularnewline
51 & 4794.8 & 4777.7 & 4779.44 & -1.73674 & 17.0972 \tabularnewline
52 & 4830.85 & 4827.36 & 4816.23 & 11.1297 & 3.487 \tabularnewline
53 & 4855.25 & 4861.69 & 4854.2 & 7.48592 & -6.438 \tabularnewline
54 & 4919.25 & 4881.98 & 4890.28 & -8.29976 & 37.2727 \tabularnewline
55 & 4995.6 & 4901.87 & 4925.08 & -23.2079 & 93.7329 \tabularnewline
56 & 4916.25 & 4962.02 & 4955.71 & 6.30736 & -45.7657 \tabularnewline
57 & 5010.2 & 4979.16 & 4985.2 & -6.04241 & 31.0445 \tabularnewline
58 & 5007.75 & 5020.92 & 5017.72 & 3.19717 & -13.1659 \tabularnewline
59 & 5040.85 & 5062.01 & 5049.2 & 12.8043 & -21.1564 \tabularnewline
60 & 5066.1 & 5082.67 & 5081.13 & 1.53745 & -16.5687 \tabularnewline
61 & 5083.6 & 5111.41 & 5111.08 & 0.331433 & -27.8148 \tabularnewline
62 & 5104.95 & 5138.83 & 5142.34 & -3.50653 & -33.8789 \tabularnewline
63 & 5188.65 & 5171.89 & 5173.62 & -1.73674 & 16.7638 \tabularnewline
64 & 5217.5 & 5210.75 & 5199.62 & 11.1297 & 6.74742 \tabularnewline
65 & 5224.2 & 5233.39 & 5225.9 & 7.48592 & -9.188 \tabularnewline
66 & 5316.6 & 5249.46 & 5257.76 & -8.29976 & 67.1435 \tabularnewline
67 & 5317.1 & 5271.69 & 5294.89 & -23.2079 & 45.4142 \tabularnewline
68 & 5344.8 & 5338.47 & 5332.16 & 6.30736 & 6.33014 \tabularnewline
69 & 5332.55 & 5358.72 & 5364.76 & -6.04241 & -26.1659 \tabularnewline
70 & 5309.4 & 5399.24 & 5396.05 & 3.19717 & -89.843 \tabularnewline
71 & 5369.9 & 5441.96 & 5429.15 & 12.8043 & -72.0564 \tabularnewline
72 & 5501.55 & 5458.32 & 5456.78 & 1.53745 & 43.2292 \tabularnewline
73 & 5539.45 & 5476.37 & 5476.04 & 0.331433 & 63.0811 \tabularnewline
74 & 5543.55 & 5487.98 & 5491.49 & -3.50653 & 55.569 \tabularnewline
75 & 5532.35 & 5504.01 & 5505.75 & -1.73674 & 28.3388 \tabularnewline
76 & 5624.7 & 5532.51 & 5521.38 & 11.1297 & 92.1912 \tabularnewline
77 & 5611.55 & 5544.75 & 5537.26 & 7.48592 & 66.7995 \tabularnewline
78 & 5592.4 & 5538.35 & 5546.65 & -8.29976 & 54.0518 \tabularnewline
79 & 5503.4 & 5531.92 & 5555.12 & -23.2079 & -28.5171 \tabularnewline
80 & 5529.3 & 5574.02 & 5567.71 & 6.30736 & -44.7178 \tabularnewline
81 & 5490.3 & 5578.16 & 5584.2 & -6.04241 & -87.8597 \tabularnewline
82 & 5526.8 & 5602.09 & 5598.89 & 3.19717 & -75.2868 \tabularnewline
83 & 5533.75 & 5621.94 & 5609.14 & 12.8043 & -88.1898 \tabularnewline
84 & 5562.9 & 5622.07 & 5620.53 & 1.53745 & -59.1687 \tabularnewline
85 & 5681.55 & 5636.66 & 5636.32 & 0.331433 & 44.8936 \tabularnewline
86 & 5703.5 & 5661.96 & 5665.46 & -3.50653 & 41.544 \tabularnewline
87 & 5768.2 & 5704.39 & 5706.12 & -1.73674 & 63.8138 \tabularnewline
88 & 5741.35 & 5763.53 & 5752.4 & 11.1297 & -22.1776 \tabularnewline
89 & 5740.8 & 5807.38 & 5799.89 & 7.48592 & -66.5776 \tabularnewline
90 & 5736.65 & 5827.95 & 5836.25 & -8.29976 & -91.2961 \tabularnewline
91 & 5738.2 & 5835.04 & 5858.25 & -23.2079 & -96.84 \tabularnewline
92 & 5993.8 & 5877.77 & 5871.46 & 6.30736 & 116.028 \tabularnewline
93 & 6001.65 & 5868.2 & 5874.24 & -6.04241 & 133.455 \tabularnewline
94 & 6126.05 & 5876.9 & 5873.71 & 3.19717 & 249.147 \tabularnewline
95 & 6074.35 & 5892.49 & 5879.68 & 12.8043 & 181.862 \tabularnewline
96 & 5894.8 & 5886.39 & 5884.85 & 1.53745 & 8.41255 \tabularnewline
97 & 5877.7 & 5888.46 & 5888.13 & 0.331433 & -10.7585 \tabularnewline
98 & 5824.55 & 5880.17 & 5883.67 & -3.50653 & -55.6164 \tabularnewline
99 & 5713.7 & 5867.17 & 5868.9 & -1.73674 & -153.467 \tabularnewline
100 & 5783.1 & 5862.28 & 5851.15 & 11.1297 & -79.1797 \tabularnewline
101 & 5842.5 & 5840.79 & 5833.3 & 7.48592 & 1.71408 \tabularnewline
102 & 5758.95 & 5812.26 & 5820.56 & -8.29976 & -53.3065 \tabularnewline
103 & 5794.55 & 5787.48 & 5810.69 & -23.2079 & 7.06625 \tabularnewline
104 & 5830.55 & 5811.24 & 5804.94 & 6.30736 & 19.3072 \tabularnewline
105 & 5810.45 & 5804.72 & 5810.76 & -6.04241 & 5.72991 \tabularnewline
106 & 5891.15 & 5826.18 & 5822.99 & 3.19717 & 64.9674 \tabularnewline
107 & 5880.85 & 5845.45 & 5832.64 & 12.8043 & 35.4019 \tabularnewline
108 & 5782.45 & 5848.67 & 5847.13 & 1.53745 & -66.2208 \tabularnewline
109 & 5753.3 & 5869.13 & 5868.8 & 0.331433 & -115.829 \tabularnewline
110 & 5810.8 & 5878.09 & 5881.6 & -3.50653 & -67.2914 \tabularnewline
111 & 5867.3 & NA & NA & -1.73674 & NA \tabularnewline
112 & 5922.85 & NA & NA & 11.1297 & NA \tabularnewline
113 & 5934.55 & NA & NA & 7.48592 & NA \tabularnewline
114 & 6014.65 & NA & NA & -8.29976 & NA \tabularnewline
115 & 6058.8 & NA & NA & -23.2079 & NA \tabularnewline
116 & 5873.5 & NA & NA & 6.30736 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298298&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]4164.5[/C][C]NA[/C][C]NA[/C][C]0.331433[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4141.3[/C][C]NA[/C][C]NA[/C][C]-3.50653[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4194.85[/C][C]NA[/C][C]NA[/C][C]-1.73674[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4229.45[/C][C]NA[/C][C]NA[/C][C]11.1297[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4294.7[/C][C]NA[/C][C]NA[/C][C]7.48592[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4370.05[/C][C]NA[/C][C]NA[/C][C]-8.29976[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4366.1[/C][C]4347.39[/C][C]4370.6[/C][C]-23.2079[/C][C]18.7079[/C][/ROW]
[ROW][C]8[/C][C]4439.2[/C][C]4411.84[/C][C]4405.53[/C][C]6.30736[/C][C]27.3614[/C][/ROW]
[ROW][C]9[/C][C]4470.25[/C][C]4436.72[/C][C]4442.76[/C][C]-6.04241[/C][C]33.532[/C][/ROW]
[ROW][C]10[/C][C]4482.9[/C][C]4484.28[/C][C]4481.08[/C][C]3.19717[/C][C]-1.37634[/C][/ROW]
[ROW][C]11[/C][C]4529.1[/C][C]4527.76[/C][C]4514.96[/C][C]12.8043[/C][C]1.33732[/C][/ROW]
[ROW][C]12[/C][C]4560.55[/C][C]4543.11[/C][C]4541.57[/C][C]1.53745[/C][C]17.4417[/C][/ROW]
[ROW][C]13[/C][C]4573[/C][C]4566.58[/C][C]4566.24[/C][C]0.331433[/C][C]6.42482[/C][/ROW]
[ROW][C]14[/C][C]4571.15[/C][C]4584.43[/C][C]4587.94[/C][C]-3.50653[/C][C]-13.2831[/C][/ROW]
[ROW][C]15[/C][C]4658.5[/C][C]4601.13[/C][C]4602.87[/C][C]-1.73674[/C][C]57.3701[/C][/ROW]
[ROW][C]16[/C][C]4685.45[/C][C]4626.09[/C][C]4614.96[/C][C]11.1297[/C][C]59.3557[/C][/ROW]
[ROW][C]17[/C][C]4651.8[/C][C]4632.4[/C][C]4624.92[/C][C]7.48592[/C][C]19.3953[/C][/ROW]
[ROW][C]18[/C][C]4651.65[/C][C]4625.6[/C][C]4633.9[/C][C]-8.29976[/C][C]26.0518[/C][/ROW]
[ROW][C]19[/C][C]4676.65[/C][C]4617.5[/C][C]4640.71[/C][C]-23.2079[/C][C]59.1517[/C][/ROW]
[ROW][C]20[/C][C]4649.35[/C][C]4652.45[/C][C]4646.14[/C][C]6.30736[/C][C]-3.09694[/C][/ROW]
[ROW][C]21[/C][C]4618.35[/C][C]4646.22[/C][C]4652.26[/C][C]-6.04241[/C][C]-27.868[/C][/ROW]
[ROW][C]22[/C][C]4625.15[/C][C]4657.21[/C][C]4654.01[/C][C]3.19717[/C][C]-32.0555[/C][/ROW]
[ROW][C]23[/C][C]4625.75[/C][C]4668.57[/C][C]4655.77[/C][C]12.8043[/C][C]-42.8231[/C][/ROW]
[ROW][C]24[/C][C]4679.4[/C][C]4659.6[/C][C]4658.06[/C][C]1.53745[/C][C]19.8[/C][/ROW]
[ROW][C]25[/C][C]4617.55[/C][C]4656.23[/C][C]4655.89[/C][C]0.331433[/C][C]-38.6752[/C][/ROW]
[ROW][C]26[/C][C]4657[/C][C]4649.84[/C][C]4653.35[/C][C]-3.50653[/C][C]7.15861[/C][/ROW]
[ROW][C]27[/C][C]4719.55[/C][C]4649.91[/C][C]4651.65[/C][C]-1.73674[/C][C]69.6367[/C][/ROW]
[ROW][C]28[/C][C]4666.35[/C][C]4661.46[/C][C]4650.33[/C][C]11.1297[/C][C]4.88908[/C][/ROW]
[ROW][C]29[/C][C]4713.15[/C][C]4661.42[/C][C]4653.93[/C][C]7.48592[/C][C]51.7307[/C][/ROW]
[ROW][C]30[/C][C]4645.35[/C][C]4650.24[/C][C]4658.54[/C][C]-8.29976[/C][C]-4.89399[/C][/ROW]
[ROW][C]31[/C][C]4630.9[/C][C]4641.06[/C][C]4664.27[/C][C]-23.2079[/C][C]-10.165[/C][/ROW]
[ROW][C]32[/C][C]4634[/C][C]4673.8[/C][C]4667.49[/C][C]6.30736[/C][C]-39.8011[/C][/ROW]
[ROW][C]33[/C][C]4592.95[/C][C]4650.32[/C][C]4656.37[/C][C]-6.04241[/C][C]-57.3743[/C][/ROW]
[ROW][C]34[/C][C]4618.9[/C][C]4644.88[/C][C]4641.68[/C][C]3.19717[/C][C]-25.9763[/C][/ROW]
[ROW][C]35[/C][C]4718.45[/C][C]4641.72[/C][C]4628.92[/C][C]12.8043[/C][C]76.729[/C][/ROW]
[ROW][C]36[/C][C]4697.35[/C][C]4618.37[/C][C]4616.83[/C][C]1.53745[/C][C]78.9813[/C][/ROW]
[ROW][C]37[/C][C]4737.1[/C][C]4605.45[/C][C]4605.11[/C][C]0.331433[/C][C]131.654[/C][/ROW]
[ROW][C]38[/C][C]4614.75[/C][C]4590.94[/C][C]4594.45[/C][C]-3.50653[/C][C]23.8065[/C][/ROW]
[ROW][C]39[/C][C]4494.75[/C][C]4588.85[/C][C]4590.59[/C][C]-1.73674[/C][C]-94.1008[/C][/ROW]
[ROW][C]40[/C][C]4538.65[/C][C]4598.51[/C][C]4587.38[/C][C]11.1297[/C][C]-59.8609[/C][/ROW]
[ROW][C]41[/C][C]4534.55[/C][C]4586.53[/C][C]4579.05[/C][C]7.48592[/C][C]-51.9838[/C][/ROW]
[ROW][C]42[/C][C]4533.9[/C][C]4563.47[/C][C]4571.77[/C][C]-8.29976[/C][C]-29.5711[/C][/ROW]
[ROW][C]43[/C][C]4461.15[/C][C]4543.57[/C][C]4566.77[/C][C]-23.2079[/C][C]-82.4171[/C][/ROW]
[ROW][C]44[/C][C]4547.8[/C][C]4577.31[/C][C]4571[/C][C]6.30736[/C][C]-29.5115[/C][/ROW]
[ROW][C]45[/C][C]4586.45[/C][C]4584.81[/C][C]4590.85[/C][C]-6.04241[/C][C]1.64033[/C][/ROW]
[ROW][C]46[/C][C]4548.45[/C][C]4618.73[/C][C]4615.53[/C][C]3.19717[/C][C]-70.2763[/C][/ROW]
[ROW][C]47[/C][C]4588.9[/C][C]4653.87[/C][C]4641.07[/C][C]12.8043[/C][C]-64.971[/C][/ROW]
[ROW][C]48[/C][C]4652.25[/C][C]4672.02[/C][C]4670.49[/C][C]1.53745[/C][C]-19.7729[/C][/ROW]
[ROW][C]49[/C][C]4662.3[/C][C]4709.14[/C][C]4708.81[/C][C]0.331433[/C][C]-46.8418[/C][/ROW]
[ROW][C]50[/C][C]4791.05[/C][C]4742.92[/C][C]4746.43[/C][C]-3.50653[/C][C]48.1253[/C][/ROW]
[ROW][C]51[/C][C]4794.8[/C][C]4777.7[/C][C]4779.44[/C][C]-1.73674[/C][C]17.0972[/C][/ROW]
[ROW][C]52[/C][C]4830.85[/C][C]4827.36[/C][C]4816.23[/C][C]11.1297[/C][C]3.487[/C][/ROW]
[ROW][C]53[/C][C]4855.25[/C][C]4861.69[/C][C]4854.2[/C][C]7.48592[/C][C]-6.438[/C][/ROW]
[ROW][C]54[/C][C]4919.25[/C][C]4881.98[/C][C]4890.28[/C][C]-8.29976[/C][C]37.2727[/C][/ROW]
[ROW][C]55[/C][C]4995.6[/C][C]4901.87[/C][C]4925.08[/C][C]-23.2079[/C][C]93.7329[/C][/ROW]
[ROW][C]56[/C][C]4916.25[/C][C]4962.02[/C][C]4955.71[/C][C]6.30736[/C][C]-45.7657[/C][/ROW]
[ROW][C]57[/C][C]5010.2[/C][C]4979.16[/C][C]4985.2[/C][C]-6.04241[/C][C]31.0445[/C][/ROW]
[ROW][C]58[/C][C]5007.75[/C][C]5020.92[/C][C]5017.72[/C][C]3.19717[/C][C]-13.1659[/C][/ROW]
[ROW][C]59[/C][C]5040.85[/C][C]5062.01[/C][C]5049.2[/C][C]12.8043[/C][C]-21.1564[/C][/ROW]
[ROW][C]60[/C][C]5066.1[/C][C]5082.67[/C][C]5081.13[/C][C]1.53745[/C][C]-16.5687[/C][/ROW]
[ROW][C]61[/C][C]5083.6[/C][C]5111.41[/C][C]5111.08[/C][C]0.331433[/C][C]-27.8148[/C][/ROW]
[ROW][C]62[/C][C]5104.95[/C][C]5138.83[/C][C]5142.34[/C][C]-3.50653[/C][C]-33.8789[/C][/ROW]
[ROW][C]63[/C][C]5188.65[/C][C]5171.89[/C][C]5173.62[/C][C]-1.73674[/C][C]16.7638[/C][/ROW]
[ROW][C]64[/C][C]5217.5[/C][C]5210.75[/C][C]5199.62[/C][C]11.1297[/C][C]6.74742[/C][/ROW]
[ROW][C]65[/C][C]5224.2[/C][C]5233.39[/C][C]5225.9[/C][C]7.48592[/C][C]-9.188[/C][/ROW]
[ROW][C]66[/C][C]5316.6[/C][C]5249.46[/C][C]5257.76[/C][C]-8.29976[/C][C]67.1435[/C][/ROW]
[ROW][C]67[/C][C]5317.1[/C][C]5271.69[/C][C]5294.89[/C][C]-23.2079[/C][C]45.4142[/C][/ROW]
[ROW][C]68[/C][C]5344.8[/C][C]5338.47[/C][C]5332.16[/C][C]6.30736[/C][C]6.33014[/C][/ROW]
[ROW][C]69[/C][C]5332.55[/C][C]5358.72[/C][C]5364.76[/C][C]-6.04241[/C][C]-26.1659[/C][/ROW]
[ROW][C]70[/C][C]5309.4[/C][C]5399.24[/C][C]5396.05[/C][C]3.19717[/C][C]-89.843[/C][/ROW]
[ROW][C]71[/C][C]5369.9[/C][C]5441.96[/C][C]5429.15[/C][C]12.8043[/C][C]-72.0564[/C][/ROW]
[ROW][C]72[/C][C]5501.55[/C][C]5458.32[/C][C]5456.78[/C][C]1.53745[/C][C]43.2292[/C][/ROW]
[ROW][C]73[/C][C]5539.45[/C][C]5476.37[/C][C]5476.04[/C][C]0.331433[/C][C]63.0811[/C][/ROW]
[ROW][C]74[/C][C]5543.55[/C][C]5487.98[/C][C]5491.49[/C][C]-3.50653[/C][C]55.569[/C][/ROW]
[ROW][C]75[/C][C]5532.35[/C][C]5504.01[/C][C]5505.75[/C][C]-1.73674[/C][C]28.3388[/C][/ROW]
[ROW][C]76[/C][C]5624.7[/C][C]5532.51[/C][C]5521.38[/C][C]11.1297[/C][C]92.1912[/C][/ROW]
[ROW][C]77[/C][C]5611.55[/C][C]5544.75[/C][C]5537.26[/C][C]7.48592[/C][C]66.7995[/C][/ROW]
[ROW][C]78[/C][C]5592.4[/C][C]5538.35[/C][C]5546.65[/C][C]-8.29976[/C][C]54.0518[/C][/ROW]
[ROW][C]79[/C][C]5503.4[/C][C]5531.92[/C][C]5555.12[/C][C]-23.2079[/C][C]-28.5171[/C][/ROW]
[ROW][C]80[/C][C]5529.3[/C][C]5574.02[/C][C]5567.71[/C][C]6.30736[/C][C]-44.7178[/C][/ROW]
[ROW][C]81[/C][C]5490.3[/C][C]5578.16[/C][C]5584.2[/C][C]-6.04241[/C][C]-87.8597[/C][/ROW]
[ROW][C]82[/C][C]5526.8[/C][C]5602.09[/C][C]5598.89[/C][C]3.19717[/C][C]-75.2868[/C][/ROW]
[ROW][C]83[/C][C]5533.75[/C][C]5621.94[/C][C]5609.14[/C][C]12.8043[/C][C]-88.1898[/C][/ROW]
[ROW][C]84[/C][C]5562.9[/C][C]5622.07[/C][C]5620.53[/C][C]1.53745[/C][C]-59.1687[/C][/ROW]
[ROW][C]85[/C][C]5681.55[/C][C]5636.66[/C][C]5636.32[/C][C]0.331433[/C][C]44.8936[/C][/ROW]
[ROW][C]86[/C][C]5703.5[/C][C]5661.96[/C][C]5665.46[/C][C]-3.50653[/C][C]41.544[/C][/ROW]
[ROW][C]87[/C][C]5768.2[/C][C]5704.39[/C][C]5706.12[/C][C]-1.73674[/C][C]63.8138[/C][/ROW]
[ROW][C]88[/C][C]5741.35[/C][C]5763.53[/C][C]5752.4[/C][C]11.1297[/C][C]-22.1776[/C][/ROW]
[ROW][C]89[/C][C]5740.8[/C][C]5807.38[/C][C]5799.89[/C][C]7.48592[/C][C]-66.5776[/C][/ROW]
[ROW][C]90[/C][C]5736.65[/C][C]5827.95[/C][C]5836.25[/C][C]-8.29976[/C][C]-91.2961[/C][/ROW]
[ROW][C]91[/C][C]5738.2[/C][C]5835.04[/C][C]5858.25[/C][C]-23.2079[/C][C]-96.84[/C][/ROW]
[ROW][C]92[/C][C]5993.8[/C][C]5877.77[/C][C]5871.46[/C][C]6.30736[/C][C]116.028[/C][/ROW]
[ROW][C]93[/C][C]6001.65[/C][C]5868.2[/C][C]5874.24[/C][C]-6.04241[/C][C]133.455[/C][/ROW]
[ROW][C]94[/C][C]6126.05[/C][C]5876.9[/C][C]5873.71[/C][C]3.19717[/C][C]249.147[/C][/ROW]
[ROW][C]95[/C][C]6074.35[/C][C]5892.49[/C][C]5879.68[/C][C]12.8043[/C][C]181.862[/C][/ROW]
[ROW][C]96[/C][C]5894.8[/C][C]5886.39[/C][C]5884.85[/C][C]1.53745[/C][C]8.41255[/C][/ROW]
[ROW][C]97[/C][C]5877.7[/C][C]5888.46[/C][C]5888.13[/C][C]0.331433[/C][C]-10.7585[/C][/ROW]
[ROW][C]98[/C][C]5824.55[/C][C]5880.17[/C][C]5883.67[/C][C]-3.50653[/C][C]-55.6164[/C][/ROW]
[ROW][C]99[/C][C]5713.7[/C][C]5867.17[/C][C]5868.9[/C][C]-1.73674[/C][C]-153.467[/C][/ROW]
[ROW][C]100[/C][C]5783.1[/C][C]5862.28[/C][C]5851.15[/C][C]11.1297[/C][C]-79.1797[/C][/ROW]
[ROW][C]101[/C][C]5842.5[/C][C]5840.79[/C][C]5833.3[/C][C]7.48592[/C][C]1.71408[/C][/ROW]
[ROW][C]102[/C][C]5758.95[/C][C]5812.26[/C][C]5820.56[/C][C]-8.29976[/C][C]-53.3065[/C][/ROW]
[ROW][C]103[/C][C]5794.55[/C][C]5787.48[/C][C]5810.69[/C][C]-23.2079[/C][C]7.06625[/C][/ROW]
[ROW][C]104[/C][C]5830.55[/C][C]5811.24[/C][C]5804.94[/C][C]6.30736[/C][C]19.3072[/C][/ROW]
[ROW][C]105[/C][C]5810.45[/C][C]5804.72[/C][C]5810.76[/C][C]-6.04241[/C][C]5.72991[/C][/ROW]
[ROW][C]106[/C][C]5891.15[/C][C]5826.18[/C][C]5822.99[/C][C]3.19717[/C][C]64.9674[/C][/ROW]
[ROW][C]107[/C][C]5880.85[/C][C]5845.45[/C][C]5832.64[/C][C]12.8043[/C][C]35.4019[/C][/ROW]
[ROW][C]108[/C][C]5782.45[/C][C]5848.67[/C][C]5847.13[/C][C]1.53745[/C][C]-66.2208[/C][/ROW]
[ROW][C]109[/C][C]5753.3[/C][C]5869.13[/C][C]5868.8[/C][C]0.331433[/C][C]-115.829[/C][/ROW]
[ROW][C]110[/C][C]5810.8[/C][C]5878.09[/C][C]5881.6[/C][C]-3.50653[/C][C]-67.2914[/C][/ROW]
[ROW][C]111[/C][C]5867.3[/C][C]NA[/C][C]NA[/C][C]-1.73674[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5922.85[/C][C]NA[/C][C]NA[/C][C]11.1297[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5934.55[/C][C]NA[/C][C]NA[/C][C]7.48592[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6014.65[/C][C]NA[/C][C]NA[/C][C]-8.29976[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6058.8[/C][C]NA[/C][C]NA[/C][C]-23.2079[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5873.5[/C][C]NA[/C][C]NA[/C][C]6.30736[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298298&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298298&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
14164.5NANA0.331433NA
24141.3NANA-3.50653NA
34194.85NANA-1.73674NA
44229.45NANA11.1297NA
54294.7NANA7.48592NA
64370.05NANA-8.29976NA
74366.14347.394370.6-23.207918.7079
84439.24411.844405.536.3073627.3614
94470.254436.724442.76-6.0424133.532
104482.94484.284481.083.19717-1.37634
114529.14527.764514.9612.80431.33732
124560.554543.114541.571.5374517.4417
1345734566.584566.240.3314336.42482
144571.154584.434587.94-3.50653-13.2831
154658.54601.134602.87-1.7367457.3701
164685.454626.094614.9611.129759.3557
174651.84632.44624.927.4859219.3953
184651.654625.64633.9-8.2997626.0518
194676.654617.54640.71-23.207959.1517
204649.354652.454646.146.30736-3.09694
214618.354646.224652.26-6.04241-27.868
224625.154657.214654.013.19717-32.0555
234625.754668.574655.7712.8043-42.8231
244679.44659.64658.061.5374519.8
254617.554656.234655.890.331433-38.6752
2646574649.844653.35-3.506537.15861
274719.554649.914651.65-1.7367469.6367
284666.354661.464650.3311.12974.88908
294713.154661.424653.937.4859251.7307
304645.354650.244658.54-8.29976-4.89399
314630.94641.064664.27-23.2079-10.165
3246344673.84667.496.30736-39.8011
334592.954650.324656.37-6.04241-57.3743
344618.94644.884641.683.19717-25.9763
354718.454641.724628.9212.804376.729
364697.354618.374616.831.5374578.9813
374737.14605.454605.110.331433131.654
384614.754590.944594.45-3.5065323.8065
394494.754588.854590.59-1.73674-94.1008
404538.654598.514587.3811.1297-59.8609
414534.554586.534579.057.48592-51.9838
424533.94563.474571.77-8.29976-29.5711
434461.154543.574566.77-23.2079-82.4171
444547.84577.3145716.30736-29.5115
454586.454584.814590.85-6.042411.64033
464548.454618.734615.533.19717-70.2763
474588.94653.874641.0712.8043-64.971
484652.254672.024670.491.53745-19.7729
494662.34709.144708.810.331433-46.8418
504791.054742.924746.43-3.5065348.1253
514794.84777.74779.44-1.7367417.0972
524830.854827.364816.2311.12973.487
534855.254861.694854.27.48592-6.438
544919.254881.984890.28-8.2997637.2727
554995.64901.874925.08-23.207993.7329
564916.254962.024955.716.30736-45.7657
575010.24979.164985.2-6.0424131.0445
585007.755020.925017.723.19717-13.1659
595040.855062.015049.212.8043-21.1564
605066.15082.675081.131.53745-16.5687
615083.65111.415111.080.331433-27.8148
625104.955138.835142.34-3.50653-33.8789
635188.655171.895173.62-1.7367416.7638
645217.55210.755199.6211.12976.74742
655224.25233.395225.97.48592-9.188
665316.65249.465257.76-8.2997667.1435
675317.15271.695294.89-23.207945.4142
685344.85338.475332.166.307366.33014
695332.555358.725364.76-6.04241-26.1659
705309.45399.245396.053.19717-89.843
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1095753.35869.135868.80.331433-115.829
1105810.85878.095881.6-3.50653-67.2914
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1125922.85NANA11.1297NA
1135934.55NANA7.48592NA
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1165873.5NANA6.30736NA



Parameters (Session):
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')