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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 computationFri, 23 Dec 2016 10:31:23 +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/23/t14824855370plj45ptf8tk9x3.htm/, Retrieved Tue, 07 May 2024 16:28:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302814, Retrieved Tue, 07 May 2024 16:28:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [classical decompo...] [2016-12-23 09:31:23] [bd7223969ac5b08f41438741a34686d6] [Current]
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Dataseries X:
4981.8
4938
4915.6
4938.4
4977.6
5045
5034.8
5094.8
5128.8
5181.8
5232
5384.4
5340.4
5452.6
5541.2
5627.2
5712
5794.2
5898.6
6021
6117.2
6245.4
6305.8
6327.2
6374.2
6383.2
6380
6373.4
6385
6399
6374.6
6342
6287.8
6198.8
6113.6
6110
6059
6004.6
5989.6
5988
5963
5972.2
5962.2
5930.4
5901.2
5860.8
5804.8
5727.6
5744.2
5744.8
5763.8
5774.6
5797.6
5806.8
5806.2
5809
5845.6
5876.8
5925.8
5972.2
5955.2
5972.4
5979.6
5976.4
5990.4
6029.4
6046.2
6094.6
6114.6
6149.4
6266.2
6312
6338
6417
6392.6
6455.4
6445.2
6415
6490.8
6552.8
6522.8
6568.8
6586.2
6627.6
6643.2
6635.4
6628.2
6628.8
6623.4
6596
6625
6613
6608.2
6590.2
6602.8
6525
6487.6
6449
6461.8
6476.8
6436.8
6399.4
6411.2
6356
6356.8
6337
6334.6
6310.6
6320.8
6321.8
6305.8
6293.8
6281.4
6306.8
6281.2
6325.8




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=302814&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=302814&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302814&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
14981.8NANA-5.20303NA
24938NANA-3.53914NA
34915.6NANA-7.68243NA
44938.4NANA0.380073NA
54977.6NANA-4.7793NA
65045NANA-8.02097NA
75034.85086.675086.020.646046-51.871
85094.85128.675122.416.26271-33.871
95128.85171.055169.921.13123-42.2479
105181.85227.15224.682.42012-45.3035
1152325292.185283.988.1979-60.1812
125384.45355.995345.810.186828.4132
135340.45407.815413.01-5.20303-67.4053
145452.65484.055487.59-3.53914-31.4525
155541.25559.685567.37-7.68243-18.4842
165627.25653.255652.870.380073-26.0467
1757125737.155741.92-4.7793-25.1457
185794.25817.935825.95-8.02097-23.729
195898.65908.955908.310.646046-10.3544
2060215996.425990.166.2627124.579
216117.26065.016063.881.1312352.1854
226245.46132.356129.922.42012113.055
236305.86197.266189.068.1979108.544
246327.26252.496242.310.186874.7132
256374.26282.136287.33-5.2030392.0697
266383.263176320.54-3.5391466.1975
2763806333.346341.02-7.6824346.6574
286373.46346.576346.190.38007326.8283
2963856331.466336.24-4.779353.5376
3063996311.166319.18-8.0209787.8376
316374.66297.6562970.64604676.954
3263426274.356268.096.2627167.6456
336287.86237.186236.051.1312350.6188
346198.86206.156203.722.42012-7.34512
356113.66178.286170.088.1979-64.6812
3661106144.96134.7210.1868-34.9035
3760596094.556099.75-5.20303-35.547
386004.66061.886065.42-3.53914-57.2775
395989.66024.486032.16-7.68243-34.8759
4059886002.356001.970.380073-14.3467
4159635970.245975.02-4.7793-7.23736
425972.25938.25946.22-8.0209734.0043
435962.25917.815917.170.64604644.3873
445930.45899.495893.226.2627130.9123
455901.25874.125872.991.1312327.0771
465860.85857.115854.692.420123.68821
475804.85847.115838.918.1979-42.3062
485727.65835.315825.1210.1868-107.712
495744.25806.535811.73-5.20303-62.3303
505744.85796.645800.18-3.53914-51.8359
515763.85785.125792.8-7.68243-21.3176
525774.65791.535791.150.380073-16.9301
535797.65792.085796.86-4.77935.52097
545806.85804.075812.09-8.020972.7293
555806.25831.725831.080.646046-25.521
5658095855.615849.356.26271-46.6127
575845.65868.965867.821.13123-23.3562
585876.85887.655885.222.42012-10.8451
595925.85909.865901.678.197915.9354
605972.25929.165918.9810.186843.0382
615955.25933.055938.25-5.2030322.153
625972.45956.615960.15-3.5391415.7891
635979.65975.585983.26-7.682434.02409
645976.46006.216005.820.380073-29.8051
655990.46026.596031.37-4.7793-36.1874
666029.46051.696059.71-8.02097-22.2874
676046.26090.466089.820.646046-44.2627
686094.66130.556124.296.26271-35.9544
696114.66161.166160.021.13123-46.5562
706149.46199.616197.192.42012-50.2118
716266.26244.36236.18.197921.9021
7263126281.36271.1210.186830.6965
7363386300.516305.71-5.2030337.4947
7464176339.796343.32-3.5391477.2141
756392.66371.746379.42-7.6824320.8574
766455.46414.296413.910.38007341.1116
776445.26439.946444.72-4.77935.26264
7864156463.186471.2-8.02097-48.179
796490.86497.716497.070.646046-6.91271
806552.86525.156518.886.2627127.654
816522.86538.936537.81.13123-16.1312
826568.86557.266554.842.4201211.5382
836586.26577.696569.498.19798.51044
846627.66594.656584.4610.186832.9549
856643.26592.396597.59-5.2030350.8114
866635.46602.156605.69-3.5391433.2475
876628.26604.086611.76-7.6824324.1241
886628.86616.596616.210.38007312.2116
896623.46613.016617.79-4.779310.3876
9065966606.196614.21-8.02097-10.1874
9166256604.16603.450.64604620.904
9266136595.466589.26.2627117.5373
936608.26575.636574.51.1312332.5688
946590.26563.656561.232.4201226.5465
956602.86555.326547.128.197947.4771
9665256541.356531.1610.1868-16.3451
976487.66508.866514.06-5.20303-21.2553
9864496490.96494.44-3.53914-41.9025
996461.86465.586473.26-7.68243-3.77591
1006476.86452.616452.230.38007324.1866
1016436.86425.736430.51-4.779311.071
1026399.46402.386410.4-8.02097-2.97903
1036411.26395.166394.520.64604616.0373
10463566388.536382.276.26271-32.5294
1056356.86371.66370.471.13123-14.7979
10663376358.766356.342.42012-21.7618
1076334.66350.446342.248.1979-15.8396
1086310.66342.16331.9110.1868-31.4951
1096320.86317.436322.63-5.203033.3697
1106321.86312.426315.96-3.539149.38081
1116305.8NANA-7.68243NA
1126293.8NANA0.380073NA
1136281.4NANA-4.7793NA
1146306.8NANA-8.02097NA
1156281.2NANA0.646046NA
1166325.8NANA6.26271NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4981.8 & NA & NA & -5.20303 & NA \tabularnewline
2 & 4938 & NA & NA & -3.53914 & NA \tabularnewline
3 & 4915.6 & NA & NA & -7.68243 & NA \tabularnewline
4 & 4938.4 & NA & NA & 0.380073 & NA \tabularnewline
5 & 4977.6 & NA & NA & -4.7793 & NA \tabularnewline
6 & 5045 & NA & NA & -8.02097 & NA \tabularnewline
7 & 5034.8 & 5086.67 & 5086.02 & 0.646046 & -51.871 \tabularnewline
8 & 5094.8 & 5128.67 & 5122.41 & 6.26271 & -33.871 \tabularnewline
9 & 5128.8 & 5171.05 & 5169.92 & 1.13123 & -42.2479 \tabularnewline
10 & 5181.8 & 5227.1 & 5224.68 & 2.42012 & -45.3035 \tabularnewline
11 & 5232 & 5292.18 & 5283.98 & 8.1979 & -60.1812 \tabularnewline
12 & 5384.4 & 5355.99 & 5345.8 & 10.1868 & 28.4132 \tabularnewline
13 & 5340.4 & 5407.81 & 5413.01 & -5.20303 & -67.4053 \tabularnewline
14 & 5452.6 & 5484.05 & 5487.59 & -3.53914 & -31.4525 \tabularnewline
15 & 5541.2 & 5559.68 & 5567.37 & -7.68243 & -18.4842 \tabularnewline
16 & 5627.2 & 5653.25 & 5652.87 & 0.380073 & -26.0467 \tabularnewline
17 & 5712 & 5737.15 & 5741.92 & -4.7793 & -25.1457 \tabularnewline
18 & 5794.2 & 5817.93 & 5825.95 & -8.02097 & -23.729 \tabularnewline
19 & 5898.6 & 5908.95 & 5908.31 & 0.646046 & -10.3544 \tabularnewline
20 & 6021 & 5996.42 & 5990.16 & 6.26271 & 24.579 \tabularnewline
21 & 6117.2 & 6065.01 & 6063.88 & 1.13123 & 52.1854 \tabularnewline
22 & 6245.4 & 6132.35 & 6129.92 & 2.42012 & 113.055 \tabularnewline
23 & 6305.8 & 6197.26 & 6189.06 & 8.1979 & 108.544 \tabularnewline
24 & 6327.2 & 6252.49 & 6242.3 & 10.1868 & 74.7132 \tabularnewline
25 & 6374.2 & 6282.13 & 6287.33 & -5.20303 & 92.0697 \tabularnewline
26 & 6383.2 & 6317 & 6320.54 & -3.53914 & 66.1975 \tabularnewline
27 & 6380 & 6333.34 & 6341.02 & -7.68243 & 46.6574 \tabularnewline
28 & 6373.4 & 6346.57 & 6346.19 & 0.380073 & 26.8283 \tabularnewline
29 & 6385 & 6331.46 & 6336.24 & -4.7793 & 53.5376 \tabularnewline
30 & 6399 & 6311.16 & 6319.18 & -8.02097 & 87.8376 \tabularnewline
31 & 6374.6 & 6297.65 & 6297 & 0.646046 & 76.954 \tabularnewline
32 & 6342 & 6274.35 & 6268.09 & 6.26271 & 67.6456 \tabularnewline
33 & 6287.8 & 6237.18 & 6236.05 & 1.13123 & 50.6188 \tabularnewline
34 & 6198.8 & 6206.15 & 6203.72 & 2.42012 & -7.34512 \tabularnewline
35 & 6113.6 & 6178.28 & 6170.08 & 8.1979 & -64.6812 \tabularnewline
36 & 6110 & 6144.9 & 6134.72 & 10.1868 & -34.9035 \tabularnewline
37 & 6059 & 6094.55 & 6099.75 & -5.20303 & -35.547 \tabularnewline
38 & 6004.6 & 6061.88 & 6065.42 & -3.53914 & -57.2775 \tabularnewline
39 & 5989.6 & 6024.48 & 6032.16 & -7.68243 & -34.8759 \tabularnewline
40 & 5988 & 6002.35 & 6001.97 & 0.380073 & -14.3467 \tabularnewline
41 & 5963 & 5970.24 & 5975.02 & -4.7793 & -7.23736 \tabularnewline
42 & 5972.2 & 5938.2 & 5946.22 & -8.02097 & 34.0043 \tabularnewline
43 & 5962.2 & 5917.81 & 5917.17 & 0.646046 & 44.3873 \tabularnewline
44 & 5930.4 & 5899.49 & 5893.22 & 6.26271 & 30.9123 \tabularnewline
45 & 5901.2 & 5874.12 & 5872.99 & 1.13123 & 27.0771 \tabularnewline
46 & 5860.8 & 5857.11 & 5854.69 & 2.42012 & 3.68821 \tabularnewline
47 & 5804.8 & 5847.11 & 5838.91 & 8.1979 & -42.3062 \tabularnewline
48 & 5727.6 & 5835.31 & 5825.12 & 10.1868 & -107.712 \tabularnewline
49 & 5744.2 & 5806.53 & 5811.73 & -5.20303 & -62.3303 \tabularnewline
50 & 5744.8 & 5796.64 & 5800.18 & -3.53914 & -51.8359 \tabularnewline
51 & 5763.8 & 5785.12 & 5792.8 & -7.68243 & -21.3176 \tabularnewline
52 & 5774.6 & 5791.53 & 5791.15 & 0.380073 & -16.9301 \tabularnewline
53 & 5797.6 & 5792.08 & 5796.86 & -4.7793 & 5.52097 \tabularnewline
54 & 5806.8 & 5804.07 & 5812.09 & -8.02097 & 2.7293 \tabularnewline
55 & 5806.2 & 5831.72 & 5831.08 & 0.646046 & -25.521 \tabularnewline
56 & 5809 & 5855.61 & 5849.35 & 6.26271 & -46.6127 \tabularnewline
57 & 5845.6 & 5868.96 & 5867.82 & 1.13123 & -23.3562 \tabularnewline
58 & 5876.8 & 5887.65 & 5885.22 & 2.42012 & -10.8451 \tabularnewline
59 & 5925.8 & 5909.86 & 5901.67 & 8.1979 & 15.9354 \tabularnewline
60 & 5972.2 & 5929.16 & 5918.98 & 10.1868 & 43.0382 \tabularnewline
61 & 5955.2 & 5933.05 & 5938.25 & -5.20303 & 22.153 \tabularnewline
62 & 5972.4 & 5956.61 & 5960.15 & -3.53914 & 15.7891 \tabularnewline
63 & 5979.6 & 5975.58 & 5983.26 & -7.68243 & 4.02409 \tabularnewline
64 & 5976.4 & 6006.21 & 6005.82 & 0.380073 & -29.8051 \tabularnewline
65 & 5990.4 & 6026.59 & 6031.37 & -4.7793 & -36.1874 \tabularnewline
66 & 6029.4 & 6051.69 & 6059.71 & -8.02097 & -22.2874 \tabularnewline
67 & 6046.2 & 6090.46 & 6089.82 & 0.646046 & -44.2627 \tabularnewline
68 & 6094.6 & 6130.55 & 6124.29 & 6.26271 & -35.9544 \tabularnewline
69 & 6114.6 & 6161.16 & 6160.02 & 1.13123 & -46.5562 \tabularnewline
70 & 6149.4 & 6199.61 & 6197.19 & 2.42012 & -50.2118 \tabularnewline
71 & 6266.2 & 6244.3 & 6236.1 & 8.1979 & 21.9021 \tabularnewline
72 & 6312 & 6281.3 & 6271.12 & 10.1868 & 30.6965 \tabularnewline
73 & 6338 & 6300.51 & 6305.71 & -5.20303 & 37.4947 \tabularnewline
74 & 6417 & 6339.79 & 6343.32 & -3.53914 & 77.2141 \tabularnewline
75 & 6392.6 & 6371.74 & 6379.42 & -7.68243 & 20.8574 \tabularnewline
76 & 6455.4 & 6414.29 & 6413.91 & 0.380073 & 41.1116 \tabularnewline
77 & 6445.2 & 6439.94 & 6444.72 & -4.7793 & 5.26264 \tabularnewline
78 & 6415 & 6463.18 & 6471.2 & -8.02097 & -48.179 \tabularnewline
79 & 6490.8 & 6497.71 & 6497.07 & 0.646046 & -6.91271 \tabularnewline
80 & 6552.8 & 6525.15 & 6518.88 & 6.26271 & 27.654 \tabularnewline
81 & 6522.8 & 6538.93 & 6537.8 & 1.13123 & -16.1312 \tabularnewline
82 & 6568.8 & 6557.26 & 6554.84 & 2.42012 & 11.5382 \tabularnewline
83 & 6586.2 & 6577.69 & 6569.49 & 8.1979 & 8.51044 \tabularnewline
84 & 6627.6 & 6594.65 & 6584.46 & 10.1868 & 32.9549 \tabularnewline
85 & 6643.2 & 6592.39 & 6597.59 & -5.20303 & 50.8114 \tabularnewline
86 & 6635.4 & 6602.15 & 6605.69 & -3.53914 & 33.2475 \tabularnewline
87 & 6628.2 & 6604.08 & 6611.76 & -7.68243 & 24.1241 \tabularnewline
88 & 6628.8 & 6616.59 & 6616.21 & 0.380073 & 12.2116 \tabularnewline
89 & 6623.4 & 6613.01 & 6617.79 & -4.7793 & 10.3876 \tabularnewline
90 & 6596 & 6606.19 & 6614.21 & -8.02097 & -10.1874 \tabularnewline
91 & 6625 & 6604.1 & 6603.45 & 0.646046 & 20.904 \tabularnewline
92 & 6613 & 6595.46 & 6589.2 & 6.26271 & 17.5373 \tabularnewline
93 & 6608.2 & 6575.63 & 6574.5 & 1.13123 & 32.5688 \tabularnewline
94 & 6590.2 & 6563.65 & 6561.23 & 2.42012 & 26.5465 \tabularnewline
95 & 6602.8 & 6555.32 & 6547.12 & 8.1979 & 47.4771 \tabularnewline
96 & 6525 & 6541.35 & 6531.16 & 10.1868 & -16.3451 \tabularnewline
97 & 6487.6 & 6508.86 & 6514.06 & -5.20303 & -21.2553 \tabularnewline
98 & 6449 & 6490.9 & 6494.44 & -3.53914 & -41.9025 \tabularnewline
99 & 6461.8 & 6465.58 & 6473.26 & -7.68243 & -3.77591 \tabularnewline
100 & 6476.8 & 6452.61 & 6452.23 & 0.380073 & 24.1866 \tabularnewline
101 & 6436.8 & 6425.73 & 6430.51 & -4.7793 & 11.071 \tabularnewline
102 & 6399.4 & 6402.38 & 6410.4 & -8.02097 & -2.97903 \tabularnewline
103 & 6411.2 & 6395.16 & 6394.52 & 0.646046 & 16.0373 \tabularnewline
104 & 6356 & 6388.53 & 6382.27 & 6.26271 & -32.5294 \tabularnewline
105 & 6356.8 & 6371.6 & 6370.47 & 1.13123 & -14.7979 \tabularnewline
106 & 6337 & 6358.76 & 6356.34 & 2.42012 & -21.7618 \tabularnewline
107 & 6334.6 & 6350.44 & 6342.24 & 8.1979 & -15.8396 \tabularnewline
108 & 6310.6 & 6342.1 & 6331.91 & 10.1868 & -31.4951 \tabularnewline
109 & 6320.8 & 6317.43 & 6322.63 & -5.20303 & 3.3697 \tabularnewline
110 & 6321.8 & 6312.42 & 6315.96 & -3.53914 & 9.38081 \tabularnewline
111 & 6305.8 & NA & NA & -7.68243 & NA \tabularnewline
112 & 6293.8 & NA & NA & 0.380073 & NA \tabularnewline
113 & 6281.4 & NA & NA & -4.7793 & NA \tabularnewline
114 & 6306.8 & NA & NA & -8.02097 & NA \tabularnewline
115 & 6281.2 & NA & NA & 0.646046 & NA \tabularnewline
116 & 6325.8 & NA & NA & 6.26271 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302814&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]4981.8[/C][C]NA[/C][C]NA[/C][C]-5.20303[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4938[/C][C]NA[/C][C]NA[/C][C]-3.53914[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4915.6[/C][C]NA[/C][C]NA[/C][C]-7.68243[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4938.4[/C][C]NA[/C][C]NA[/C][C]0.380073[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4977.6[/C][C]NA[/C][C]NA[/C][C]-4.7793[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5045[/C][C]NA[/C][C]NA[/C][C]-8.02097[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5034.8[/C][C]5086.67[/C][C]5086.02[/C][C]0.646046[/C][C]-51.871[/C][/ROW]
[ROW][C]8[/C][C]5094.8[/C][C]5128.67[/C][C]5122.41[/C][C]6.26271[/C][C]-33.871[/C][/ROW]
[ROW][C]9[/C][C]5128.8[/C][C]5171.05[/C][C]5169.92[/C][C]1.13123[/C][C]-42.2479[/C][/ROW]
[ROW][C]10[/C][C]5181.8[/C][C]5227.1[/C][C]5224.68[/C][C]2.42012[/C][C]-45.3035[/C][/ROW]
[ROW][C]11[/C][C]5232[/C][C]5292.18[/C][C]5283.98[/C][C]8.1979[/C][C]-60.1812[/C][/ROW]
[ROW][C]12[/C][C]5384.4[/C][C]5355.99[/C][C]5345.8[/C][C]10.1868[/C][C]28.4132[/C][/ROW]
[ROW][C]13[/C][C]5340.4[/C][C]5407.81[/C][C]5413.01[/C][C]-5.20303[/C][C]-67.4053[/C][/ROW]
[ROW][C]14[/C][C]5452.6[/C][C]5484.05[/C][C]5487.59[/C][C]-3.53914[/C][C]-31.4525[/C][/ROW]
[ROW][C]15[/C][C]5541.2[/C][C]5559.68[/C][C]5567.37[/C][C]-7.68243[/C][C]-18.4842[/C][/ROW]
[ROW][C]16[/C][C]5627.2[/C][C]5653.25[/C][C]5652.87[/C][C]0.380073[/C][C]-26.0467[/C][/ROW]
[ROW][C]17[/C][C]5712[/C][C]5737.15[/C][C]5741.92[/C][C]-4.7793[/C][C]-25.1457[/C][/ROW]
[ROW][C]18[/C][C]5794.2[/C][C]5817.93[/C][C]5825.95[/C][C]-8.02097[/C][C]-23.729[/C][/ROW]
[ROW][C]19[/C][C]5898.6[/C][C]5908.95[/C][C]5908.31[/C][C]0.646046[/C][C]-10.3544[/C][/ROW]
[ROW][C]20[/C][C]6021[/C][C]5996.42[/C][C]5990.16[/C][C]6.26271[/C][C]24.579[/C][/ROW]
[ROW][C]21[/C][C]6117.2[/C][C]6065.01[/C][C]6063.88[/C][C]1.13123[/C][C]52.1854[/C][/ROW]
[ROW][C]22[/C][C]6245.4[/C][C]6132.35[/C][C]6129.92[/C][C]2.42012[/C][C]113.055[/C][/ROW]
[ROW][C]23[/C][C]6305.8[/C][C]6197.26[/C][C]6189.06[/C][C]8.1979[/C][C]108.544[/C][/ROW]
[ROW][C]24[/C][C]6327.2[/C][C]6252.49[/C][C]6242.3[/C][C]10.1868[/C][C]74.7132[/C][/ROW]
[ROW][C]25[/C][C]6374.2[/C][C]6282.13[/C][C]6287.33[/C][C]-5.20303[/C][C]92.0697[/C][/ROW]
[ROW][C]26[/C][C]6383.2[/C][C]6317[/C][C]6320.54[/C][C]-3.53914[/C][C]66.1975[/C][/ROW]
[ROW][C]27[/C][C]6380[/C][C]6333.34[/C][C]6341.02[/C][C]-7.68243[/C][C]46.6574[/C][/ROW]
[ROW][C]28[/C][C]6373.4[/C][C]6346.57[/C][C]6346.19[/C][C]0.380073[/C][C]26.8283[/C][/ROW]
[ROW][C]29[/C][C]6385[/C][C]6331.46[/C][C]6336.24[/C][C]-4.7793[/C][C]53.5376[/C][/ROW]
[ROW][C]30[/C][C]6399[/C][C]6311.16[/C][C]6319.18[/C][C]-8.02097[/C][C]87.8376[/C][/ROW]
[ROW][C]31[/C][C]6374.6[/C][C]6297.65[/C][C]6297[/C][C]0.646046[/C][C]76.954[/C][/ROW]
[ROW][C]32[/C][C]6342[/C][C]6274.35[/C][C]6268.09[/C][C]6.26271[/C][C]67.6456[/C][/ROW]
[ROW][C]33[/C][C]6287.8[/C][C]6237.18[/C][C]6236.05[/C][C]1.13123[/C][C]50.6188[/C][/ROW]
[ROW][C]34[/C][C]6198.8[/C][C]6206.15[/C][C]6203.72[/C][C]2.42012[/C][C]-7.34512[/C][/ROW]
[ROW][C]35[/C][C]6113.6[/C][C]6178.28[/C][C]6170.08[/C][C]8.1979[/C][C]-64.6812[/C][/ROW]
[ROW][C]36[/C][C]6110[/C][C]6144.9[/C][C]6134.72[/C][C]10.1868[/C][C]-34.9035[/C][/ROW]
[ROW][C]37[/C][C]6059[/C][C]6094.55[/C][C]6099.75[/C][C]-5.20303[/C][C]-35.547[/C][/ROW]
[ROW][C]38[/C][C]6004.6[/C][C]6061.88[/C][C]6065.42[/C][C]-3.53914[/C][C]-57.2775[/C][/ROW]
[ROW][C]39[/C][C]5989.6[/C][C]6024.48[/C][C]6032.16[/C][C]-7.68243[/C][C]-34.8759[/C][/ROW]
[ROW][C]40[/C][C]5988[/C][C]6002.35[/C][C]6001.97[/C][C]0.380073[/C][C]-14.3467[/C][/ROW]
[ROW][C]41[/C][C]5963[/C][C]5970.24[/C][C]5975.02[/C][C]-4.7793[/C][C]-7.23736[/C][/ROW]
[ROW][C]42[/C][C]5972.2[/C][C]5938.2[/C][C]5946.22[/C][C]-8.02097[/C][C]34.0043[/C][/ROW]
[ROW][C]43[/C][C]5962.2[/C][C]5917.81[/C][C]5917.17[/C][C]0.646046[/C][C]44.3873[/C][/ROW]
[ROW][C]44[/C][C]5930.4[/C][C]5899.49[/C][C]5893.22[/C][C]6.26271[/C][C]30.9123[/C][/ROW]
[ROW][C]45[/C][C]5901.2[/C][C]5874.12[/C][C]5872.99[/C][C]1.13123[/C][C]27.0771[/C][/ROW]
[ROW][C]46[/C][C]5860.8[/C][C]5857.11[/C][C]5854.69[/C][C]2.42012[/C][C]3.68821[/C][/ROW]
[ROW][C]47[/C][C]5804.8[/C][C]5847.11[/C][C]5838.91[/C][C]8.1979[/C][C]-42.3062[/C][/ROW]
[ROW][C]48[/C][C]5727.6[/C][C]5835.31[/C][C]5825.12[/C][C]10.1868[/C][C]-107.712[/C][/ROW]
[ROW][C]49[/C][C]5744.2[/C][C]5806.53[/C][C]5811.73[/C][C]-5.20303[/C][C]-62.3303[/C][/ROW]
[ROW][C]50[/C][C]5744.8[/C][C]5796.64[/C][C]5800.18[/C][C]-3.53914[/C][C]-51.8359[/C][/ROW]
[ROW][C]51[/C][C]5763.8[/C][C]5785.12[/C][C]5792.8[/C][C]-7.68243[/C][C]-21.3176[/C][/ROW]
[ROW][C]52[/C][C]5774.6[/C][C]5791.53[/C][C]5791.15[/C][C]0.380073[/C][C]-16.9301[/C][/ROW]
[ROW][C]53[/C][C]5797.6[/C][C]5792.08[/C][C]5796.86[/C][C]-4.7793[/C][C]5.52097[/C][/ROW]
[ROW][C]54[/C][C]5806.8[/C][C]5804.07[/C][C]5812.09[/C][C]-8.02097[/C][C]2.7293[/C][/ROW]
[ROW][C]55[/C][C]5806.2[/C][C]5831.72[/C][C]5831.08[/C][C]0.646046[/C][C]-25.521[/C][/ROW]
[ROW][C]56[/C][C]5809[/C][C]5855.61[/C][C]5849.35[/C][C]6.26271[/C][C]-46.6127[/C][/ROW]
[ROW][C]57[/C][C]5845.6[/C][C]5868.96[/C][C]5867.82[/C][C]1.13123[/C][C]-23.3562[/C][/ROW]
[ROW][C]58[/C][C]5876.8[/C][C]5887.65[/C][C]5885.22[/C][C]2.42012[/C][C]-10.8451[/C][/ROW]
[ROW][C]59[/C][C]5925.8[/C][C]5909.86[/C][C]5901.67[/C][C]8.1979[/C][C]15.9354[/C][/ROW]
[ROW][C]60[/C][C]5972.2[/C][C]5929.16[/C][C]5918.98[/C][C]10.1868[/C][C]43.0382[/C][/ROW]
[ROW][C]61[/C][C]5955.2[/C][C]5933.05[/C][C]5938.25[/C][C]-5.20303[/C][C]22.153[/C][/ROW]
[ROW][C]62[/C][C]5972.4[/C][C]5956.61[/C][C]5960.15[/C][C]-3.53914[/C][C]15.7891[/C][/ROW]
[ROW][C]63[/C][C]5979.6[/C][C]5975.58[/C][C]5983.26[/C][C]-7.68243[/C][C]4.02409[/C][/ROW]
[ROW][C]64[/C][C]5976.4[/C][C]6006.21[/C][C]6005.82[/C][C]0.380073[/C][C]-29.8051[/C][/ROW]
[ROW][C]65[/C][C]5990.4[/C][C]6026.59[/C][C]6031.37[/C][C]-4.7793[/C][C]-36.1874[/C][/ROW]
[ROW][C]66[/C][C]6029.4[/C][C]6051.69[/C][C]6059.71[/C][C]-8.02097[/C][C]-22.2874[/C][/ROW]
[ROW][C]67[/C][C]6046.2[/C][C]6090.46[/C][C]6089.82[/C][C]0.646046[/C][C]-44.2627[/C][/ROW]
[ROW][C]68[/C][C]6094.6[/C][C]6130.55[/C][C]6124.29[/C][C]6.26271[/C][C]-35.9544[/C][/ROW]
[ROW][C]69[/C][C]6114.6[/C][C]6161.16[/C][C]6160.02[/C][C]1.13123[/C][C]-46.5562[/C][/ROW]
[ROW][C]70[/C][C]6149.4[/C][C]6199.61[/C][C]6197.19[/C][C]2.42012[/C][C]-50.2118[/C][/ROW]
[ROW][C]71[/C][C]6266.2[/C][C]6244.3[/C][C]6236.1[/C][C]8.1979[/C][C]21.9021[/C][/ROW]
[ROW][C]72[/C][C]6312[/C][C]6281.3[/C][C]6271.12[/C][C]10.1868[/C][C]30.6965[/C][/ROW]
[ROW][C]73[/C][C]6338[/C][C]6300.51[/C][C]6305.71[/C][C]-5.20303[/C][C]37.4947[/C][/ROW]
[ROW][C]74[/C][C]6417[/C][C]6339.79[/C][C]6343.32[/C][C]-3.53914[/C][C]77.2141[/C][/ROW]
[ROW][C]75[/C][C]6392.6[/C][C]6371.74[/C][C]6379.42[/C][C]-7.68243[/C][C]20.8574[/C][/ROW]
[ROW][C]76[/C][C]6455.4[/C][C]6414.29[/C][C]6413.91[/C][C]0.380073[/C][C]41.1116[/C][/ROW]
[ROW][C]77[/C][C]6445.2[/C][C]6439.94[/C][C]6444.72[/C][C]-4.7793[/C][C]5.26264[/C][/ROW]
[ROW][C]78[/C][C]6415[/C][C]6463.18[/C][C]6471.2[/C][C]-8.02097[/C][C]-48.179[/C][/ROW]
[ROW][C]79[/C][C]6490.8[/C][C]6497.71[/C][C]6497.07[/C][C]0.646046[/C][C]-6.91271[/C][/ROW]
[ROW][C]80[/C][C]6552.8[/C][C]6525.15[/C][C]6518.88[/C][C]6.26271[/C][C]27.654[/C][/ROW]
[ROW][C]81[/C][C]6522.8[/C][C]6538.93[/C][C]6537.8[/C][C]1.13123[/C][C]-16.1312[/C][/ROW]
[ROW][C]82[/C][C]6568.8[/C][C]6557.26[/C][C]6554.84[/C][C]2.42012[/C][C]11.5382[/C][/ROW]
[ROW][C]83[/C][C]6586.2[/C][C]6577.69[/C][C]6569.49[/C][C]8.1979[/C][C]8.51044[/C][/ROW]
[ROW][C]84[/C][C]6627.6[/C][C]6594.65[/C][C]6584.46[/C][C]10.1868[/C][C]32.9549[/C][/ROW]
[ROW][C]85[/C][C]6643.2[/C][C]6592.39[/C][C]6597.59[/C][C]-5.20303[/C][C]50.8114[/C][/ROW]
[ROW][C]86[/C][C]6635.4[/C][C]6602.15[/C][C]6605.69[/C][C]-3.53914[/C][C]33.2475[/C][/ROW]
[ROW][C]87[/C][C]6628.2[/C][C]6604.08[/C][C]6611.76[/C][C]-7.68243[/C][C]24.1241[/C][/ROW]
[ROW][C]88[/C][C]6628.8[/C][C]6616.59[/C][C]6616.21[/C][C]0.380073[/C][C]12.2116[/C][/ROW]
[ROW][C]89[/C][C]6623.4[/C][C]6613.01[/C][C]6617.79[/C][C]-4.7793[/C][C]10.3876[/C][/ROW]
[ROW][C]90[/C][C]6596[/C][C]6606.19[/C][C]6614.21[/C][C]-8.02097[/C][C]-10.1874[/C][/ROW]
[ROW][C]91[/C][C]6625[/C][C]6604.1[/C][C]6603.45[/C][C]0.646046[/C][C]20.904[/C][/ROW]
[ROW][C]92[/C][C]6613[/C][C]6595.46[/C][C]6589.2[/C][C]6.26271[/C][C]17.5373[/C][/ROW]
[ROW][C]93[/C][C]6608.2[/C][C]6575.63[/C][C]6574.5[/C][C]1.13123[/C][C]32.5688[/C][/ROW]
[ROW][C]94[/C][C]6590.2[/C][C]6563.65[/C][C]6561.23[/C][C]2.42012[/C][C]26.5465[/C][/ROW]
[ROW][C]95[/C][C]6602.8[/C][C]6555.32[/C][C]6547.12[/C][C]8.1979[/C][C]47.4771[/C][/ROW]
[ROW][C]96[/C][C]6525[/C][C]6541.35[/C][C]6531.16[/C][C]10.1868[/C][C]-16.3451[/C][/ROW]
[ROW][C]97[/C][C]6487.6[/C][C]6508.86[/C][C]6514.06[/C][C]-5.20303[/C][C]-21.2553[/C][/ROW]
[ROW][C]98[/C][C]6449[/C][C]6490.9[/C][C]6494.44[/C][C]-3.53914[/C][C]-41.9025[/C][/ROW]
[ROW][C]99[/C][C]6461.8[/C][C]6465.58[/C][C]6473.26[/C][C]-7.68243[/C][C]-3.77591[/C][/ROW]
[ROW][C]100[/C][C]6476.8[/C][C]6452.61[/C][C]6452.23[/C][C]0.380073[/C][C]24.1866[/C][/ROW]
[ROW][C]101[/C][C]6436.8[/C][C]6425.73[/C][C]6430.51[/C][C]-4.7793[/C][C]11.071[/C][/ROW]
[ROW][C]102[/C][C]6399.4[/C][C]6402.38[/C][C]6410.4[/C][C]-8.02097[/C][C]-2.97903[/C][/ROW]
[ROW][C]103[/C][C]6411.2[/C][C]6395.16[/C][C]6394.52[/C][C]0.646046[/C][C]16.0373[/C][/ROW]
[ROW][C]104[/C][C]6356[/C][C]6388.53[/C][C]6382.27[/C][C]6.26271[/C][C]-32.5294[/C][/ROW]
[ROW][C]105[/C][C]6356.8[/C][C]6371.6[/C][C]6370.47[/C][C]1.13123[/C][C]-14.7979[/C][/ROW]
[ROW][C]106[/C][C]6337[/C][C]6358.76[/C][C]6356.34[/C][C]2.42012[/C][C]-21.7618[/C][/ROW]
[ROW][C]107[/C][C]6334.6[/C][C]6350.44[/C][C]6342.24[/C][C]8.1979[/C][C]-15.8396[/C][/ROW]
[ROW][C]108[/C][C]6310.6[/C][C]6342.1[/C][C]6331.91[/C][C]10.1868[/C][C]-31.4951[/C][/ROW]
[ROW][C]109[/C][C]6320.8[/C][C]6317.43[/C][C]6322.63[/C][C]-5.20303[/C][C]3.3697[/C][/ROW]
[ROW][C]110[/C][C]6321.8[/C][C]6312.42[/C][C]6315.96[/C][C]-3.53914[/C][C]9.38081[/C][/ROW]
[ROW][C]111[/C][C]6305.8[/C][C]NA[/C][C]NA[/C][C]-7.68243[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]6293.8[/C][C]NA[/C][C]NA[/C][C]0.380073[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]6281.4[/C][C]NA[/C][C]NA[/C][C]-4.7793[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6306.8[/C][C]NA[/C][C]NA[/C][C]-8.02097[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6281.2[/C][C]NA[/C][C]NA[/C][C]0.646046[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]6325.8[/C][C]NA[/C][C]NA[/C][C]6.26271[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302814&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302814&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
14981.8NANA-5.20303NA
24938NANA-3.53914NA
34915.6NANA-7.68243NA
44938.4NANA0.380073NA
54977.6NANA-4.7793NA
65045NANA-8.02097NA
75034.85086.675086.020.646046-51.871
85094.85128.675122.416.26271-33.871
95128.85171.055169.921.13123-42.2479
105181.85227.15224.682.42012-45.3035
1152325292.185283.988.1979-60.1812
125384.45355.995345.810.186828.4132
135340.45407.815413.01-5.20303-67.4053
145452.65484.055487.59-3.53914-31.4525
155541.25559.685567.37-7.68243-18.4842
165627.25653.255652.870.380073-26.0467
1757125737.155741.92-4.7793-25.1457
185794.25817.935825.95-8.02097-23.729
195898.65908.955908.310.646046-10.3544
2060215996.425990.166.2627124.579
216117.26065.016063.881.1312352.1854
226245.46132.356129.922.42012113.055
236305.86197.266189.068.1979108.544
246327.26252.496242.310.186874.7132
256374.26282.136287.33-5.2030392.0697
266383.263176320.54-3.5391466.1975
2763806333.346341.02-7.6824346.6574
286373.46346.576346.190.38007326.8283
2963856331.466336.24-4.779353.5376
3063996311.166319.18-8.0209787.8376
316374.66297.6562970.64604676.954
3263426274.356268.096.2627167.6456
336287.86237.186236.051.1312350.6188
346198.86206.156203.722.42012-7.34512
356113.66178.286170.088.1979-64.6812
3661106144.96134.7210.1868-34.9035
3760596094.556099.75-5.20303-35.547
386004.66061.886065.42-3.53914-57.2775
395989.66024.486032.16-7.68243-34.8759
4059886002.356001.970.380073-14.3467
4159635970.245975.02-4.7793-7.23736
425972.25938.25946.22-8.0209734.0043
435962.25917.815917.170.64604644.3873
445930.45899.495893.226.2627130.9123
455901.25874.125872.991.1312327.0771
465860.85857.115854.692.420123.68821
475804.85847.115838.918.1979-42.3062
485727.65835.315825.1210.1868-107.712
495744.25806.535811.73-5.20303-62.3303
505744.85796.645800.18-3.53914-51.8359
515763.85785.125792.8-7.68243-21.3176
525774.65791.535791.150.380073-16.9301
535797.65792.085796.86-4.77935.52097
545806.85804.075812.09-8.020972.7293
555806.25831.725831.080.646046-25.521
5658095855.615849.356.26271-46.6127
575845.65868.965867.821.13123-23.3562
585876.85887.655885.222.42012-10.8451
595925.85909.865901.678.197915.9354
605972.25929.165918.9810.186843.0382
615955.25933.055938.25-5.2030322.153
625972.45956.615960.15-3.5391415.7891
635979.65975.585983.26-7.682434.02409
645976.46006.216005.820.380073-29.8051
655990.46026.596031.37-4.7793-36.1874
666029.46051.696059.71-8.02097-22.2874
676046.26090.466089.820.646046-44.2627
686094.66130.556124.296.26271-35.9544
696114.66161.166160.021.13123-46.5562
706149.46199.616197.192.42012-50.2118
716266.26244.36236.18.197921.9021
7263126281.36271.1210.186830.6965
7363386300.516305.71-5.2030337.4947
7464176339.796343.32-3.5391477.2141
756392.66371.746379.42-7.6824320.8574
766455.46414.296413.910.38007341.1116
776445.26439.946444.72-4.77935.26264
7864156463.186471.2-8.02097-48.179
796490.86497.716497.070.646046-6.91271
806552.86525.156518.886.2627127.654
816522.86538.936537.81.13123-16.1312
826568.86557.266554.842.4201211.5382
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1086310.66342.16331.9110.1868-31.4951
1096320.86317.436322.63-5.203033.3697
1106321.86312.426315.96-3.539149.38081
1116305.8NANA-7.68243NA
1126293.8NANA0.380073NA
1136281.4NANA-4.7793NA
1146306.8NANA-8.02097NA
1156281.2NANA0.646046NA
1166325.8NANA6.26271NA



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')