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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 computationSat, 17 Dec 2016 00:52:51 +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/17/t1481932449f4v34dsj8wulyf6.htm/, Retrieved Thu, 02 May 2024 05:51:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300583, Retrieved Thu, 02 May 2024 05:51:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-16 23:52:51] [8dbd6448339a84ba150e9d534057ba9c] [Current]
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Dataseries X:
4751.5
4649.2
4664.9
4691.3
4713.7
4772.8
4748.9
4801
4891.9
4891.9
4903.5
4976.4
5009.8
4946.4
4981.9
5013.8
5015.5
5070.7
5000.9
5059.1
5156.8
5002.6
5059.1
5164.1
5087.9
5140.8
5192.8
5177.6
5167.8
5248.4
5097.5
5187.3
5261.5
5179.7
5205.6
5353.3
5425.7
5215.2
5215.6
5216.4
5208.2
5237.5
5175
5300.2
5279.3
5262.6
5220.5
5372.1
5406
5317.2
5258.4
5204.2
5304.2
5300.2
5228.8
5303.3
5296
5341.1
5354.8
5447.8
5405.6
5333.4
5291.9
5414.4
5317.2
5380.5
5431.5
5363.5
5435.4
5499.8
5447.4
5633
5617.4
5567.8
5574
5710.4
5583.1
5610.8
5620.1
5759.4
5838.7
5843.3
5821
5895.1
5881.6
5827.7
5865.9
5918.4
5875.2
6078.4
5986.3
6019.7
6255.7
6128.4
6210
6301.8
6305.7
6261.2
6200.5
6185.5
6237.4
6399
6182.5
6292.3
6419.8
6273.7
6344.8
6490.4
6355.4
6383.1
6377.3
6324.9
6342.2
6364.1
6249.5
6439.2
6409.4




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=300583&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=300583&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300583&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
14751.5NANA61.3399NA
24649.2NANA-9.00271NA
34664.9NANA-27.4458NA
44691.3NANA-15.0939NA
54713.7NANA-46.3101NA
64772.8NANA15.4103NA
74748.94726.564798.85-72.282822.337
848014802.514821.99-19.48-1.51165
94891.94895.44847.5847.8204-3.50378
104891.94860.784874.23-13.448131.1189
114903.54887.654900.24-12.594815.8532
124976.45016.324925.2391.0876-39.9167
135009.85009.484948.1461.33990.318446
144946.44960.394969.4-9.00271-13.9931
154981.94963.744991.19-27.445818.1583
165013.84991.745006.84-15.093922.0564
175015.54971.625017.93-46.310143.8767
185070.75047.655032.2415.410323.0522
195000.94971.035043.31-72.282829.8703
205059.15035.195054.67-19.4823.9134
215156.85119.375071.5547.820437.4254
225002.65073.725087.17-13.4481-71.1186
235059.15087.745100.34-12.5948-28.6427
245164.15205.185114.0991.0876-41.0751
255087.95186.865125.5261.3399-98.9566
265140.85125.885134.88-9.0027114.9194
275192.85117.145144.59-27.445875.6583
285177.65141.245156.33-15.093936.3647
295167.85123.55169.81-46.310144.2976
305248.45199.215183.815.410349.1897
315097.55133.485205.76-72.2828-35.9755
325187.35203.455222.93-19.48-16.1533
335261.55274.85226.9847.8204-13.3038
345179.75216.15229.55-13.4481-36.4019
355205.65220.265232.85-12.5948-14.6552
365353.35325.175234.0891.087628.1333
375425.75298.195236.8561.3399127.506
385215.25235.785244.79-9.00271-20.5848
395215.65222.795250.23-27.4458-7.18757
405216.45239.345254.43-15.0939-22.9353
415208.25212.195258.5-46.3101-3.99411
425237.55275.325259.9115.4103-37.8186
4351755187.595259.87-72.2828-12.588
445300.25243.825263.3-19.4856.38
455279.35317.155269.3347.8204-37.8538
465262.65257.165270.61-13.44815.43974
475220.55261.515274.1-12.5948-41.0052
485372.15371.85280.7191.08760.299928
4954065346.915285.5761.339959.0934
505317.25278.935287.94-9.0027138.2652
515258.45261.325288.76-27.4458-2.91674
525204.25277.645292.73-15.0939-73.4353
535304.25255.295301.6-46.310148.9142
545300.25325.765310.3515.4103-25.5561
555228.85241.25313.48-72.2828-12.4005
565303.35294.665314.14-19.488.63835
5752965364.035316.2147.8204-68.0329
585341.15312.925326.37-13.448128.1814
595354.85323.075335.67-12.594831.7282
605447.85430.645339.5591.087617.1583
615405.65412.695351.3561.3399-7.08572
625333.45353.35362.3-9.00271-19.8973
635291.95343.175370.62-27.4458-51.2709
645414.45367.945383.04-15.093946.4564
655317.25347.25393.51-46.3101-29.9983
665380.55420.495405.0815.4103-39.9936
675431.55349.345421.62-72.282882.1578
685363.55420.745440.22-19.48-57.2366
695435.45509.565461.7447.8204-74.1579
705499.85472.385485.83-13.448127.4231
715447.45496.645509.24-12.5948-49.2427
72563356215529.9191.087611.9999
735617.45608.715547.3761.33998.69345
745567.85562.725571.72-9.002715.08187
7555745577.585605.02-27.4458-3.57507
765710.45621.045636.14-15.093989.3564
775583.15619.715666.02-46.3101-36.6066
785610.85707.915692.515.4103-97.1144
795620.15642.155714.43-72.2828-22.0505
805759.45716.795736.27-19.4842.6092
815838.75807.085759.2647.820431.6171
825843.35766.645780.09-13.448176.6564
8358215788.335800.93-12.594832.6657
845895.15923.675832.5891.0876-28.5709
855881.65928.665867.3261.3399-47.0649
865827.75884.435893.43-9.00271-56.7265
875865.95894.25921.65-27.4458-28.3042
885918.45935.815950.9-15.0939-17.4103
895875.25932.685978.99-46.3101-57.4816
906078.46027.566012.1515.410350.8439
915986.35974.486046.76-72.282811.8203
926019.76063.026082.5-19.48-43.3158
936255.76162.326114.547.820493.3796
946128.46126.126139.57-13.44812.27724
9562106153.26165.79-12.594856.8032
966301.86285.336194.2491.087616.4708
976305.76277.116215.7861.339928.5851
986261.26226.316235.31-9.0027134.8944
996200.56226.066253.5-27.4458-25.5584
1006185.56251.36266.4-15.0939-65.8019
1016237.46231.766278.07-46.31015.64339
10263996306.956291.5415.410392.0481
1036182.56229.196301.47-72.2828-46.688
1046292.36289.146308.62-19.483.15919
1056419.86368.896321.0747.820450.9129
1066273.76320.796334.24-13.4481-47.0936
1076344.86331.826344.42-12.594812.9782
1086490.46438.426347.3391.087651.9833
1096355.46410.016348.6761.3399-54.6066
1106383.16348.586357.58-9.0027134.5235
1116377.36335.826363.27-27.445841.4791
1126324.9NANA-15.0939NA
1136342.2NANA-46.3101NA
1146364.1NANA15.4103NA
1156249.5NANA-72.2828NA
1166439.2NANA-19.48NA
1176409.4NANA47.8204NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4751.5 & NA & NA & 61.3399 & NA \tabularnewline
2 & 4649.2 & NA & NA & -9.00271 & NA \tabularnewline
3 & 4664.9 & NA & NA & -27.4458 & NA \tabularnewline
4 & 4691.3 & NA & NA & -15.0939 & NA \tabularnewline
5 & 4713.7 & NA & NA & -46.3101 & NA \tabularnewline
6 & 4772.8 & NA & NA & 15.4103 & NA \tabularnewline
7 & 4748.9 & 4726.56 & 4798.85 & -72.2828 & 22.337 \tabularnewline
8 & 4801 & 4802.51 & 4821.99 & -19.48 & -1.51165 \tabularnewline
9 & 4891.9 & 4895.4 & 4847.58 & 47.8204 & -3.50378 \tabularnewline
10 & 4891.9 & 4860.78 & 4874.23 & -13.4481 & 31.1189 \tabularnewline
11 & 4903.5 & 4887.65 & 4900.24 & -12.5948 & 15.8532 \tabularnewline
12 & 4976.4 & 5016.32 & 4925.23 & 91.0876 & -39.9167 \tabularnewline
13 & 5009.8 & 5009.48 & 4948.14 & 61.3399 & 0.318446 \tabularnewline
14 & 4946.4 & 4960.39 & 4969.4 & -9.00271 & -13.9931 \tabularnewline
15 & 4981.9 & 4963.74 & 4991.19 & -27.4458 & 18.1583 \tabularnewline
16 & 5013.8 & 4991.74 & 5006.84 & -15.0939 & 22.0564 \tabularnewline
17 & 5015.5 & 4971.62 & 5017.93 & -46.3101 & 43.8767 \tabularnewline
18 & 5070.7 & 5047.65 & 5032.24 & 15.4103 & 23.0522 \tabularnewline
19 & 5000.9 & 4971.03 & 5043.31 & -72.2828 & 29.8703 \tabularnewline
20 & 5059.1 & 5035.19 & 5054.67 & -19.48 & 23.9134 \tabularnewline
21 & 5156.8 & 5119.37 & 5071.55 & 47.8204 & 37.4254 \tabularnewline
22 & 5002.6 & 5073.72 & 5087.17 & -13.4481 & -71.1186 \tabularnewline
23 & 5059.1 & 5087.74 & 5100.34 & -12.5948 & -28.6427 \tabularnewline
24 & 5164.1 & 5205.18 & 5114.09 & 91.0876 & -41.0751 \tabularnewline
25 & 5087.9 & 5186.86 & 5125.52 & 61.3399 & -98.9566 \tabularnewline
26 & 5140.8 & 5125.88 & 5134.88 & -9.00271 & 14.9194 \tabularnewline
27 & 5192.8 & 5117.14 & 5144.59 & -27.4458 & 75.6583 \tabularnewline
28 & 5177.6 & 5141.24 & 5156.33 & -15.0939 & 36.3647 \tabularnewline
29 & 5167.8 & 5123.5 & 5169.81 & -46.3101 & 44.2976 \tabularnewline
30 & 5248.4 & 5199.21 & 5183.8 & 15.4103 & 49.1897 \tabularnewline
31 & 5097.5 & 5133.48 & 5205.76 & -72.2828 & -35.9755 \tabularnewline
32 & 5187.3 & 5203.45 & 5222.93 & -19.48 & -16.1533 \tabularnewline
33 & 5261.5 & 5274.8 & 5226.98 & 47.8204 & -13.3038 \tabularnewline
34 & 5179.7 & 5216.1 & 5229.55 & -13.4481 & -36.4019 \tabularnewline
35 & 5205.6 & 5220.26 & 5232.85 & -12.5948 & -14.6552 \tabularnewline
36 & 5353.3 & 5325.17 & 5234.08 & 91.0876 & 28.1333 \tabularnewline
37 & 5425.7 & 5298.19 & 5236.85 & 61.3399 & 127.506 \tabularnewline
38 & 5215.2 & 5235.78 & 5244.79 & -9.00271 & -20.5848 \tabularnewline
39 & 5215.6 & 5222.79 & 5250.23 & -27.4458 & -7.18757 \tabularnewline
40 & 5216.4 & 5239.34 & 5254.43 & -15.0939 & -22.9353 \tabularnewline
41 & 5208.2 & 5212.19 & 5258.5 & -46.3101 & -3.99411 \tabularnewline
42 & 5237.5 & 5275.32 & 5259.91 & 15.4103 & -37.8186 \tabularnewline
43 & 5175 & 5187.59 & 5259.87 & -72.2828 & -12.588 \tabularnewline
44 & 5300.2 & 5243.82 & 5263.3 & -19.48 & 56.38 \tabularnewline
45 & 5279.3 & 5317.15 & 5269.33 & 47.8204 & -37.8538 \tabularnewline
46 & 5262.6 & 5257.16 & 5270.61 & -13.4481 & 5.43974 \tabularnewline
47 & 5220.5 & 5261.51 & 5274.1 & -12.5948 & -41.0052 \tabularnewline
48 & 5372.1 & 5371.8 & 5280.71 & 91.0876 & 0.299928 \tabularnewline
49 & 5406 & 5346.91 & 5285.57 & 61.3399 & 59.0934 \tabularnewline
50 & 5317.2 & 5278.93 & 5287.94 & -9.00271 & 38.2652 \tabularnewline
51 & 5258.4 & 5261.32 & 5288.76 & -27.4458 & -2.91674 \tabularnewline
52 & 5204.2 & 5277.64 & 5292.73 & -15.0939 & -73.4353 \tabularnewline
53 & 5304.2 & 5255.29 & 5301.6 & -46.3101 & 48.9142 \tabularnewline
54 & 5300.2 & 5325.76 & 5310.35 & 15.4103 & -25.5561 \tabularnewline
55 & 5228.8 & 5241.2 & 5313.48 & -72.2828 & -12.4005 \tabularnewline
56 & 5303.3 & 5294.66 & 5314.14 & -19.48 & 8.63835 \tabularnewline
57 & 5296 & 5364.03 & 5316.21 & 47.8204 & -68.0329 \tabularnewline
58 & 5341.1 & 5312.92 & 5326.37 & -13.4481 & 28.1814 \tabularnewline
59 & 5354.8 & 5323.07 & 5335.67 & -12.5948 & 31.7282 \tabularnewline
60 & 5447.8 & 5430.64 & 5339.55 & 91.0876 & 17.1583 \tabularnewline
61 & 5405.6 & 5412.69 & 5351.35 & 61.3399 & -7.08572 \tabularnewline
62 & 5333.4 & 5353.3 & 5362.3 & -9.00271 & -19.8973 \tabularnewline
63 & 5291.9 & 5343.17 & 5370.62 & -27.4458 & -51.2709 \tabularnewline
64 & 5414.4 & 5367.94 & 5383.04 & -15.0939 & 46.4564 \tabularnewline
65 & 5317.2 & 5347.2 & 5393.51 & -46.3101 & -29.9983 \tabularnewline
66 & 5380.5 & 5420.49 & 5405.08 & 15.4103 & -39.9936 \tabularnewline
67 & 5431.5 & 5349.34 & 5421.62 & -72.2828 & 82.1578 \tabularnewline
68 & 5363.5 & 5420.74 & 5440.22 & -19.48 & -57.2366 \tabularnewline
69 & 5435.4 & 5509.56 & 5461.74 & 47.8204 & -74.1579 \tabularnewline
70 & 5499.8 & 5472.38 & 5485.83 & -13.4481 & 27.4231 \tabularnewline
71 & 5447.4 & 5496.64 & 5509.24 & -12.5948 & -49.2427 \tabularnewline
72 & 5633 & 5621 & 5529.91 & 91.0876 & 11.9999 \tabularnewline
73 & 5617.4 & 5608.71 & 5547.37 & 61.3399 & 8.69345 \tabularnewline
74 & 5567.8 & 5562.72 & 5571.72 & -9.00271 & 5.08187 \tabularnewline
75 & 5574 & 5577.58 & 5605.02 & -27.4458 & -3.57507 \tabularnewline
76 & 5710.4 & 5621.04 & 5636.14 & -15.0939 & 89.3564 \tabularnewline
77 & 5583.1 & 5619.71 & 5666.02 & -46.3101 & -36.6066 \tabularnewline
78 & 5610.8 & 5707.91 & 5692.5 & 15.4103 & -97.1144 \tabularnewline
79 & 5620.1 & 5642.15 & 5714.43 & -72.2828 & -22.0505 \tabularnewline
80 & 5759.4 & 5716.79 & 5736.27 & -19.48 & 42.6092 \tabularnewline
81 & 5838.7 & 5807.08 & 5759.26 & 47.8204 & 31.6171 \tabularnewline
82 & 5843.3 & 5766.64 & 5780.09 & -13.4481 & 76.6564 \tabularnewline
83 & 5821 & 5788.33 & 5800.93 & -12.5948 & 32.6657 \tabularnewline
84 & 5895.1 & 5923.67 & 5832.58 & 91.0876 & -28.5709 \tabularnewline
85 & 5881.6 & 5928.66 & 5867.32 & 61.3399 & -47.0649 \tabularnewline
86 & 5827.7 & 5884.43 & 5893.43 & -9.00271 & -56.7265 \tabularnewline
87 & 5865.9 & 5894.2 & 5921.65 & -27.4458 & -28.3042 \tabularnewline
88 & 5918.4 & 5935.81 & 5950.9 & -15.0939 & -17.4103 \tabularnewline
89 & 5875.2 & 5932.68 & 5978.99 & -46.3101 & -57.4816 \tabularnewline
90 & 6078.4 & 6027.56 & 6012.15 & 15.4103 & 50.8439 \tabularnewline
91 & 5986.3 & 5974.48 & 6046.76 & -72.2828 & 11.8203 \tabularnewline
92 & 6019.7 & 6063.02 & 6082.5 & -19.48 & -43.3158 \tabularnewline
93 & 6255.7 & 6162.32 & 6114.5 & 47.8204 & 93.3796 \tabularnewline
94 & 6128.4 & 6126.12 & 6139.57 & -13.4481 & 2.27724 \tabularnewline
95 & 6210 & 6153.2 & 6165.79 & -12.5948 & 56.8032 \tabularnewline
96 & 6301.8 & 6285.33 & 6194.24 & 91.0876 & 16.4708 \tabularnewline
97 & 6305.7 & 6277.11 & 6215.78 & 61.3399 & 28.5851 \tabularnewline
98 & 6261.2 & 6226.31 & 6235.31 & -9.00271 & 34.8944 \tabularnewline
99 & 6200.5 & 6226.06 & 6253.5 & -27.4458 & -25.5584 \tabularnewline
100 & 6185.5 & 6251.3 & 6266.4 & -15.0939 & -65.8019 \tabularnewline
101 & 6237.4 & 6231.76 & 6278.07 & -46.3101 & 5.64339 \tabularnewline
102 & 6399 & 6306.95 & 6291.54 & 15.4103 & 92.0481 \tabularnewline
103 & 6182.5 & 6229.19 & 6301.47 & -72.2828 & -46.688 \tabularnewline
104 & 6292.3 & 6289.14 & 6308.62 & -19.48 & 3.15919 \tabularnewline
105 & 6419.8 & 6368.89 & 6321.07 & 47.8204 & 50.9129 \tabularnewline
106 & 6273.7 & 6320.79 & 6334.24 & -13.4481 & -47.0936 \tabularnewline
107 & 6344.8 & 6331.82 & 6344.42 & -12.5948 & 12.9782 \tabularnewline
108 & 6490.4 & 6438.42 & 6347.33 & 91.0876 & 51.9833 \tabularnewline
109 & 6355.4 & 6410.01 & 6348.67 & 61.3399 & -54.6066 \tabularnewline
110 & 6383.1 & 6348.58 & 6357.58 & -9.00271 & 34.5235 \tabularnewline
111 & 6377.3 & 6335.82 & 6363.27 & -27.4458 & 41.4791 \tabularnewline
112 & 6324.9 & NA & NA & -15.0939 & NA \tabularnewline
113 & 6342.2 & NA & NA & -46.3101 & NA \tabularnewline
114 & 6364.1 & NA & NA & 15.4103 & NA \tabularnewline
115 & 6249.5 & NA & NA & -72.2828 & NA \tabularnewline
116 & 6439.2 & NA & NA & -19.48 & NA \tabularnewline
117 & 6409.4 & NA & NA & 47.8204 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300583&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]4751.5[/C][C]NA[/C][C]NA[/C][C]61.3399[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4649.2[/C][C]NA[/C][C]NA[/C][C]-9.00271[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4664.9[/C][C]NA[/C][C]NA[/C][C]-27.4458[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4691.3[/C][C]NA[/C][C]NA[/C][C]-15.0939[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4713.7[/C][C]NA[/C][C]NA[/C][C]-46.3101[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4772.8[/C][C]NA[/C][C]NA[/C][C]15.4103[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4748.9[/C][C]4726.56[/C][C]4798.85[/C][C]-72.2828[/C][C]22.337[/C][/ROW]
[ROW][C]8[/C][C]4801[/C][C]4802.51[/C][C]4821.99[/C][C]-19.48[/C][C]-1.51165[/C][/ROW]
[ROW][C]9[/C][C]4891.9[/C][C]4895.4[/C][C]4847.58[/C][C]47.8204[/C][C]-3.50378[/C][/ROW]
[ROW][C]10[/C][C]4891.9[/C][C]4860.78[/C][C]4874.23[/C][C]-13.4481[/C][C]31.1189[/C][/ROW]
[ROW][C]11[/C][C]4903.5[/C][C]4887.65[/C][C]4900.24[/C][C]-12.5948[/C][C]15.8532[/C][/ROW]
[ROW][C]12[/C][C]4976.4[/C][C]5016.32[/C][C]4925.23[/C][C]91.0876[/C][C]-39.9167[/C][/ROW]
[ROW][C]13[/C][C]5009.8[/C][C]5009.48[/C][C]4948.14[/C][C]61.3399[/C][C]0.318446[/C][/ROW]
[ROW][C]14[/C][C]4946.4[/C][C]4960.39[/C][C]4969.4[/C][C]-9.00271[/C][C]-13.9931[/C][/ROW]
[ROW][C]15[/C][C]4981.9[/C][C]4963.74[/C][C]4991.19[/C][C]-27.4458[/C][C]18.1583[/C][/ROW]
[ROW][C]16[/C][C]5013.8[/C][C]4991.74[/C][C]5006.84[/C][C]-15.0939[/C][C]22.0564[/C][/ROW]
[ROW][C]17[/C][C]5015.5[/C][C]4971.62[/C][C]5017.93[/C][C]-46.3101[/C][C]43.8767[/C][/ROW]
[ROW][C]18[/C][C]5070.7[/C][C]5047.65[/C][C]5032.24[/C][C]15.4103[/C][C]23.0522[/C][/ROW]
[ROW][C]19[/C][C]5000.9[/C][C]4971.03[/C][C]5043.31[/C][C]-72.2828[/C][C]29.8703[/C][/ROW]
[ROW][C]20[/C][C]5059.1[/C][C]5035.19[/C][C]5054.67[/C][C]-19.48[/C][C]23.9134[/C][/ROW]
[ROW][C]21[/C][C]5156.8[/C][C]5119.37[/C][C]5071.55[/C][C]47.8204[/C][C]37.4254[/C][/ROW]
[ROW][C]22[/C][C]5002.6[/C][C]5073.72[/C][C]5087.17[/C][C]-13.4481[/C][C]-71.1186[/C][/ROW]
[ROW][C]23[/C][C]5059.1[/C][C]5087.74[/C][C]5100.34[/C][C]-12.5948[/C][C]-28.6427[/C][/ROW]
[ROW][C]24[/C][C]5164.1[/C][C]5205.18[/C][C]5114.09[/C][C]91.0876[/C][C]-41.0751[/C][/ROW]
[ROW][C]25[/C][C]5087.9[/C][C]5186.86[/C][C]5125.52[/C][C]61.3399[/C][C]-98.9566[/C][/ROW]
[ROW][C]26[/C][C]5140.8[/C][C]5125.88[/C][C]5134.88[/C][C]-9.00271[/C][C]14.9194[/C][/ROW]
[ROW][C]27[/C][C]5192.8[/C][C]5117.14[/C][C]5144.59[/C][C]-27.4458[/C][C]75.6583[/C][/ROW]
[ROW][C]28[/C][C]5177.6[/C][C]5141.24[/C][C]5156.33[/C][C]-15.0939[/C][C]36.3647[/C][/ROW]
[ROW][C]29[/C][C]5167.8[/C][C]5123.5[/C][C]5169.81[/C][C]-46.3101[/C][C]44.2976[/C][/ROW]
[ROW][C]30[/C][C]5248.4[/C][C]5199.21[/C][C]5183.8[/C][C]15.4103[/C][C]49.1897[/C][/ROW]
[ROW][C]31[/C][C]5097.5[/C][C]5133.48[/C][C]5205.76[/C][C]-72.2828[/C][C]-35.9755[/C][/ROW]
[ROW][C]32[/C][C]5187.3[/C][C]5203.45[/C][C]5222.93[/C][C]-19.48[/C][C]-16.1533[/C][/ROW]
[ROW][C]33[/C][C]5261.5[/C][C]5274.8[/C][C]5226.98[/C][C]47.8204[/C][C]-13.3038[/C][/ROW]
[ROW][C]34[/C][C]5179.7[/C][C]5216.1[/C][C]5229.55[/C][C]-13.4481[/C][C]-36.4019[/C][/ROW]
[ROW][C]35[/C][C]5205.6[/C][C]5220.26[/C][C]5232.85[/C][C]-12.5948[/C][C]-14.6552[/C][/ROW]
[ROW][C]36[/C][C]5353.3[/C][C]5325.17[/C][C]5234.08[/C][C]91.0876[/C][C]28.1333[/C][/ROW]
[ROW][C]37[/C][C]5425.7[/C][C]5298.19[/C][C]5236.85[/C][C]61.3399[/C][C]127.506[/C][/ROW]
[ROW][C]38[/C][C]5215.2[/C][C]5235.78[/C][C]5244.79[/C][C]-9.00271[/C][C]-20.5848[/C][/ROW]
[ROW][C]39[/C][C]5215.6[/C][C]5222.79[/C][C]5250.23[/C][C]-27.4458[/C][C]-7.18757[/C][/ROW]
[ROW][C]40[/C][C]5216.4[/C][C]5239.34[/C][C]5254.43[/C][C]-15.0939[/C][C]-22.9353[/C][/ROW]
[ROW][C]41[/C][C]5208.2[/C][C]5212.19[/C][C]5258.5[/C][C]-46.3101[/C][C]-3.99411[/C][/ROW]
[ROW][C]42[/C][C]5237.5[/C][C]5275.32[/C][C]5259.91[/C][C]15.4103[/C][C]-37.8186[/C][/ROW]
[ROW][C]43[/C][C]5175[/C][C]5187.59[/C][C]5259.87[/C][C]-72.2828[/C][C]-12.588[/C][/ROW]
[ROW][C]44[/C][C]5300.2[/C][C]5243.82[/C][C]5263.3[/C][C]-19.48[/C][C]56.38[/C][/ROW]
[ROW][C]45[/C][C]5279.3[/C][C]5317.15[/C][C]5269.33[/C][C]47.8204[/C][C]-37.8538[/C][/ROW]
[ROW][C]46[/C][C]5262.6[/C][C]5257.16[/C][C]5270.61[/C][C]-13.4481[/C][C]5.43974[/C][/ROW]
[ROW][C]47[/C][C]5220.5[/C][C]5261.51[/C][C]5274.1[/C][C]-12.5948[/C][C]-41.0052[/C][/ROW]
[ROW][C]48[/C][C]5372.1[/C][C]5371.8[/C][C]5280.71[/C][C]91.0876[/C][C]0.299928[/C][/ROW]
[ROW][C]49[/C][C]5406[/C][C]5346.91[/C][C]5285.57[/C][C]61.3399[/C][C]59.0934[/C][/ROW]
[ROW][C]50[/C][C]5317.2[/C][C]5278.93[/C][C]5287.94[/C][C]-9.00271[/C][C]38.2652[/C][/ROW]
[ROW][C]51[/C][C]5258.4[/C][C]5261.32[/C][C]5288.76[/C][C]-27.4458[/C][C]-2.91674[/C][/ROW]
[ROW][C]52[/C][C]5204.2[/C][C]5277.64[/C][C]5292.73[/C][C]-15.0939[/C][C]-73.4353[/C][/ROW]
[ROW][C]53[/C][C]5304.2[/C][C]5255.29[/C][C]5301.6[/C][C]-46.3101[/C][C]48.9142[/C][/ROW]
[ROW][C]54[/C][C]5300.2[/C][C]5325.76[/C][C]5310.35[/C][C]15.4103[/C][C]-25.5561[/C][/ROW]
[ROW][C]55[/C][C]5228.8[/C][C]5241.2[/C][C]5313.48[/C][C]-72.2828[/C][C]-12.4005[/C][/ROW]
[ROW][C]56[/C][C]5303.3[/C][C]5294.66[/C][C]5314.14[/C][C]-19.48[/C][C]8.63835[/C][/ROW]
[ROW][C]57[/C][C]5296[/C][C]5364.03[/C][C]5316.21[/C][C]47.8204[/C][C]-68.0329[/C][/ROW]
[ROW][C]58[/C][C]5341.1[/C][C]5312.92[/C][C]5326.37[/C][C]-13.4481[/C][C]28.1814[/C][/ROW]
[ROW][C]59[/C][C]5354.8[/C][C]5323.07[/C][C]5335.67[/C][C]-12.5948[/C][C]31.7282[/C][/ROW]
[ROW][C]60[/C][C]5447.8[/C][C]5430.64[/C][C]5339.55[/C][C]91.0876[/C][C]17.1583[/C][/ROW]
[ROW][C]61[/C][C]5405.6[/C][C]5412.69[/C][C]5351.35[/C][C]61.3399[/C][C]-7.08572[/C][/ROW]
[ROW][C]62[/C][C]5333.4[/C][C]5353.3[/C][C]5362.3[/C][C]-9.00271[/C][C]-19.8973[/C][/ROW]
[ROW][C]63[/C][C]5291.9[/C][C]5343.17[/C][C]5370.62[/C][C]-27.4458[/C][C]-51.2709[/C][/ROW]
[ROW][C]64[/C][C]5414.4[/C][C]5367.94[/C][C]5383.04[/C][C]-15.0939[/C][C]46.4564[/C][/ROW]
[ROW][C]65[/C][C]5317.2[/C][C]5347.2[/C][C]5393.51[/C][C]-46.3101[/C][C]-29.9983[/C][/ROW]
[ROW][C]66[/C][C]5380.5[/C][C]5420.49[/C][C]5405.08[/C][C]15.4103[/C][C]-39.9936[/C][/ROW]
[ROW][C]67[/C][C]5431.5[/C][C]5349.34[/C][C]5421.62[/C][C]-72.2828[/C][C]82.1578[/C][/ROW]
[ROW][C]68[/C][C]5363.5[/C][C]5420.74[/C][C]5440.22[/C][C]-19.48[/C][C]-57.2366[/C][/ROW]
[ROW][C]69[/C][C]5435.4[/C][C]5509.56[/C][C]5461.74[/C][C]47.8204[/C][C]-74.1579[/C][/ROW]
[ROW][C]70[/C][C]5499.8[/C][C]5472.38[/C][C]5485.83[/C][C]-13.4481[/C][C]27.4231[/C][/ROW]
[ROW][C]71[/C][C]5447.4[/C][C]5496.64[/C][C]5509.24[/C][C]-12.5948[/C][C]-49.2427[/C][/ROW]
[ROW][C]72[/C][C]5633[/C][C]5621[/C][C]5529.91[/C][C]91.0876[/C][C]11.9999[/C][/ROW]
[ROW][C]73[/C][C]5617.4[/C][C]5608.71[/C][C]5547.37[/C][C]61.3399[/C][C]8.69345[/C][/ROW]
[ROW][C]74[/C][C]5567.8[/C][C]5562.72[/C][C]5571.72[/C][C]-9.00271[/C][C]5.08187[/C][/ROW]
[ROW][C]75[/C][C]5574[/C][C]5577.58[/C][C]5605.02[/C][C]-27.4458[/C][C]-3.57507[/C][/ROW]
[ROW][C]76[/C][C]5710.4[/C][C]5621.04[/C][C]5636.14[/C][C]-15.0939[/C][C]89.3564[/C][/ROW]
[ROW][C]77[/C][C]5583.1[/C][C]5619.71[/C][C]5666.02[/C][C]-46.3101[/C][C]-36.6066[/C][/ROW]
[ROW][C]78[/C][C]5610.8[/C][C]5707.91[/C][C]5692.5[/C][C]15.4103[/C][C]-97.1144[/C][/ROW]
[ROW][C]79[/C][C]5620.1[/C][C]5642.15[/C][C]5714.43[/C][C]-72.2828[/C][C]-22.0505[/C][/ROW]
[ROW][C]80[/C][C]5759.4[/C][C]5716.79[/C][C]5736.27[/C][C]-19.48[/C][C]42.6092[/C][/ROW]
[ROW][C]81[/C][C]5838.7[/C][C]5807.08[/C][C]5759.26[/C][C]47.8204[/C][C]31.6171[/C][/ROW]
[ROW][C]82[/C][C]5843.3[/C][C]5766.64[/C][C]5780.09[/C][C]-13.4481[/C][C]76.6564[/C][/ROW]
[ROW][C]83[/C][C]5821[/C][C]5788.33[/C][C]5800.93[/C][C]-12.5948[/C][C]32.6657[/C][/ROW]
[ROW][C]84[/C][C]5895.1[/C][C]5923.67[/C][C]5832.58[/C][C]91.0876[/C][C]-28.5709[/C][/ROW]
[ROW][C]85[/C][C]5881.6[/C][C]5928.66[/C][C]5867.32[/C][C]61.3399[/C][C]-47.0649[/C][/ROW]
[ROW][C]86[/C][C]5827.7[/C][C]5884.43[/C][C]5893.43[/C][C]-9.00271[/C][C]-56.7265[/C][/ROW]
[ROW][C]87[/C][C]5865.9[/C][C]5894.2[/C][C]5921.65[/C][C]-27.4458[/C][C]-28.3042[/C][/ROW]
[ROW][C]88[/C][C]5918.4[/C][C]5935.81[/C][C]5950.9[/C][C]-15.0939[/C][C]-17.4103[/C][/ROW]
[ROW][C]89[/C][C]5875.2[/C][C]5932.68[/C][C]5978.99[/C][C]-46.3101[/C][C]-57.4816[/C][/ROW]
[ROW][C]90[/C][C]6078.4[/C][C]6027.56[/C][C]6012.15[/C][C]15.4103[/C][C]50.8439[/C][/ROW]
[ROW][C]91[/C][C]5986.3[/C][C]5974.48[/C][C]6046.76[/C][C]-72.2828[/C][C]11.8203[/C][/ROW]
[ROW][C]92[/C][C]6019.7[/C][C]6063.02[/C][C]6082.5[/C][C]-19.48[/C][C]-43.3158[/C][/ROW]
[ROW][C]93[/C][C]6255.7[/C][C]6162.32[/C][C]6114.5[/C][C]47.8204[/C][C]93.3796[/C][/ROW]
[ROW][C]94[/C][C]6128.4[/C][C]6126.12[/C][C]6139.57[/C][C]-13.4481[/C][C]2.27724[/C][/ROW]
[ROW][C]95[/C][C]6210[/C][C]6153.2[/C][C]6165.79[/C][C]-12.5948[/C][C]56.8032[/C][/ROW]
[ROW][C]96[/C][C]6301.8[/C][C]6285.33[/C][C]6194.24[/C][C]91.0876[/C][C]16.4708[/C][/ROW]
[ROW][C]97[/C][C]6305.7[/C][C]6277.11[/C][C]6215.78[/C][C]61.3399[/C][C]28.5851[/C][/ROW]
[ROW][C]98[/C][C]6261.2[/C][C]6226.31[/C][C]6235.31[/C][C]-9.00271[/C][C]34.8944[/C][/ROW]
[ROW][C]99[/C][C]6200.5[/C][C]6226.06[/C][C]6253.5[/C][C]-27.4458[/C][C]-25.5584[/C][/ROW]
[ROW][C]100[/C][C]6185.5[/C][C]6251.3[/C][C]6266.4[/C][C]-15.0939[/C][C]-65.8019[/C][/ROW]
[ROW][C]101[/C][C]6237.4[/C][C]6231.76[/C][C]6278.07[/C][C]-46.3101[/C][C]5.64339[/C][/ROW]
[ROW][C]102[/C][C]6399[/C][C]6306.95[/C][C]6291.54[/C][C]15.4103[/C][C]92.0481[/C][/ROW]
[ROW][C]103[/C][C]6182.5[/C][C]6229.19[/C][C]6301.47[/C][C]-72.2828[/C][C]-46.688[/C][/ROW]
[ROW][C]104[/C][C]6292.3[/C][C]6289.14[/C][C]6308.62[/C][C]-19.48[/C][C]3.15919[/C][/ROW]
[ROW][C]105[/C][C]6419.8[/C][C]6368.89[/C][C]6321.07[/C][C]47.8204[/C][C]50.9129[/C][/ROW]
[ROW][C]106[/C][C]6273.7[/C][C]6320.79[/C][C]6334.24[/C][C]-13.4481[/C][C]-47.0936[/C][/ROW]
[ROW][C]107[/C][C]6344.8[/C][C]6331.82[/C][C]6344.42[/C][C]-12.5948[/C][C]12.9782[/C][/ROW]
[ROW][C]108[/C][C]6490.4[/C][C]6438.42[/C][C]6347.33[/C][C]91.0876[/C][C]51.9833[/C][/ROW]
[ROW][C]109[/C][C]6355.4[/C][C]6410.01[/C][C]6348.67[/C][C]61.3399[/C][C]-54.6066[/C][/ROW]
[ROW][C]110[/C][C]6383.1[/C][C]6348.58[/C][C]6357.58[/C][C]-9.00271[/C][C]34.5235[/C][/ROW]
[ROW][C]111[/C][C]6377.3[/C][C]6335.82[/C][C]6363.27[/C][C]-27.4458[/C][C]41.4791[/C][/ROW]
[ROW][C]112[/C][C]6324.9[/C][C]NA[/C][C]NA[/C][C]-15.0939[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]6342.2[/C][C]NA[/C][C]NA[/C][C]-46.3101[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6364.1[/C][C]NA[/C][C]NA[/C][C]15.4103[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6249.5[/C][C]NA[/C][C]NA[/C][C]-72.2828[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]6439.2[/C][C]NA[/C][C]NA[/C][C]-19.48[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]6409.4[/C][C]NA[/C][C]NA[/C][C]47.8204[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300583&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300583&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
14751.5NANA61.3399NA
24649.2NANA-9.00271NA
34664.9NANA-27.4458NA
44691.3NANA-15.0939NA
54713.7NANA-46.3101NA
64772.8NANA15.4103NA
74748.94726.564798.85-72.282822.337
848014802.514821.99-19.48-1.51165
94891.94895.44847.5847.8204-3.50378
104891.94860.784874.23-13.448131.1189
114903.54887.654900.24-12.594815.8532
124976.45016.324925.2391.0876-39.9167
135009.85009.484948.1461.33990.318446
144946.44960.394969.4-9.00271-13.9931
154981.94963.744991.19-27.445818.1583
165013.84991.745006.84-15.093922.0564
175015.54971.625017.93-46.310143.8767
185070.75047.655032.2415.410323.0522
195000.94971.035043.31-72.282829.8703
205059.15035.195054.67-19.4823.9134
215156.85119.375071.5547.820437.4254
225002.65073.725087.17-13.4481-71.1186
235059.15087.745100.34-12.5948-28.6427
245164.15205.185114.0991.0876-41.0751
255087.95186.865125.5261.3399-98.9566
265140.85125.885134.88-9.0027114.9194
275192.85117.145144.59-27.445875.6583
285177.65141.245156.33-15.093936.3647
295167.85123.55169.81-46.310144.2976
305248.45199.215183.815.410349.1897
315097.55133.485205.76-72.2828-35.9755
325187.35203.455222.93-19.48-16.1533
335261.55274.85226.9847.8204-13.3038
345179.75216.15229.55-13.4481-36.4019
355205.65220.265232.85-12.5948-14.6552
365353.35325.175234.0891.087628.1333
375425.75298.195236.8561.3399127.506
385215.25235.785244.79-9.00271-20.5848
395215.65222.795250.23-27.4458-7.18757
405216.45239.345254.43-15.0939-22.9353
415208.25212.195258.5-46.3101-3.99411
425237.55275.325259.9115.4103-37.8186
4351755187.595259.87-72.2828-12.588
445300.25243.825263.3-19.4856.38
455279.35317.155269.3347.8204-37.8538
465262.65257.165270.61-13.44815.43974
475220.55261.515274.1-12.5948-41.0052
485372.15371.85280.7191.08760.299928
4954065346.915285.5761.339959.0934
505317.25278.935287.94-9.0027138.2652
515258.45261.325288.76-27.4458-2.91674
525204.25277.645292.73-15.0939-73.4353
535304.25255.295301.6-46.310148.9142
545300.25325.765310.3515.4103-25.5561
555228.85241.25313.48-72.2828-12.4005
565303.35294.665314.14-19.488.63835
5752965364.035316.2147.8204-68.0329
585341.15312.925326.37-13.448128.1814
595354.85323.075335.67-12.594831.7282
605447.85430.645339.5591.087617.1583
615405.65412.695351.3561.3399-7.08572
625333.45353.35362.3-9.00271-19.8973
635291.95343.175370.62-27.4458-51.2709
645414.45367.945383.04-15.093946.4564
655317.25347.25393.51-46.3101-29.9983
665380.55420.495405.0815.4103-39.9936
675431.55349.345421.62-72.282882.1578
685363.55420.745440.22-19.48-57.2366
695435.45509.565461.7447.8204-74.1579
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Parameters (Session):
par1 = 12 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 2 ; par7 = 1 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
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')