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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 computationMon, 05 Dec 2016 14:14:14 +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/05/t1480943678v1z95k46qraukay.htm/, Retrieved Wed, 01 May 2024 22:27:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297716, Retrieved Wed, 01 May 2024 22:27:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [F1:N2774] [2016-12-03 13:43:19] [a4c5732063e280fade3b47e7f5057d96]
- RMP     [Classical Decomposition] [F1:N2774] [2016-12-05 13:14:14] [8d7b5e4c30a3b8052caee801f90adcea] [Current]
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Dataseries X:
5315.1
5327.75
5349.45
5346.8
5346.6
5325.25
5340.35
5354.75
5382.85
5392.35
5400.35
5410.8
5444.35
5424
5441.85
5447.6
5454.45
5478.8
5490.5
5500.75
5504.25
5513.65
5523.75
5536.4
5547.65
5562.85
5570.4
5589.7
5621.7
5612.3
5631.7
5652.85
5645.45
5664.1
5675.25
5689.65
5700.8
5711.35
5701.85
5732.5
5714.6
5746.35
5753
5764.1
5767.8
5781.9
5805
5805.2
5835.4
5838.8
5851.1
5854.85
5854.95
5870.9
5873.6
5882.75
5867.7
5879.05
5895.6
5891.5
5954.05
5952.95
5960.15
5942.6
5957.55
5949.15
5940.5
5940.1
5926.2
5926.8
5915.3
5912.05
5897
5887.75
5882.6
5905.45
5872
5881.95
5878.4
5874.2
5896.4
5890
5888.5
5873.3
5898.9
5887.65
5907.2
5921.3
5918.75
5920.95
5935.65
5941.3
5936
5931.4
5943.8
5949.85
5953.75
5963.75
5977.1
5973.7
6005.75
6014.5
6023.35
6042.8
6027.7
6041.15
6058.45
6073.2
6096.1
6103.3
6101.55
6115.15
6146.25
6134.3
6136.65
6168.05
6182.8
6204.3
6220.85
6229.75




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=297716&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=297716&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297716&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
15315.1NANA7.68899NA
25327.75NANA0.726022NA
35349.45NANA0.0794946NA
45346.8NANA2.51144NA
55346.6NANA1.97047NA
65325.25NANA1.40264NA
75340.355363.015363.09-0.0707369-22.6647
85354.755374.825372.482.33968-20.0709
95382.855375.695380.34-4.649447.15777
105392.355384.045388.39-4.349678.30801
115400.355394.995397.09-2.097825.3624
125410.85402.435407.98-5.551068.37398
135444.355428.325420.637.6889916.0298
1454245433.75432.970.726022-9.69686
155441.855444.195444.110.0794946-2.34199
165447.65456.745454.222.51144-9.13644
175454.455466.395464.421.97047-11.9413
185478.85476.25474.81.402642.60152
195490.55484.265484.33-0.07073696.2374
205500.755496.765494.422.339683.9874
215504.255500.925505.56-4.649443.33486
225513.655512.495516.84-4.349671.15801
235523.755527.635529.73-2.09782-3.88343
245536.45536.715542.26-5.55106-0.311439
255547.655561.45553.717.68899-13.7473
265562.855566.665565.930.726022-3.80519
275570.45578.235578.150.0794946-7.82949
285589.75592.815590.32.51144-3.11352
295621.75604.855602.881.9704716.8462
305612.35616.985615.581.40264-4.68389
315631.75628.285628.35-0.07073693.42282
325652.855643.265640.922.339689.59365
335645.455647.935652.58-4.64944-2.48181
345664.15659.665664.01-4.349674.44134
355675.255671.735673.83-2.097823.51865
365689.655677.735683.29-5.5510611.9156
375700.85701.615693.927.68899-0.813985
385711.355704.345703.610.7260227.00939
395701.855713.435713.350.0794946-11.5774
405732.55725.875723.352.511446.63439
415714.65735.645733.671.97047-21.0392
425746.355745.295743.891.402641.05777
4357535754.245754.31-0.0707369-1.24176
445764.15767.575765.232.33968-3.47093
455767.85772.115776.76-4.64944-4.31098
465781.95783.735788.08-4.34967-1.82741
4758055796.935799.02-2.097828.0749
485805.25804.515810.06-5.551060.690644
495835.45827.965820.277.688997.43601
505838.85830.975830.240.7260227.83023
515851.15839.435839.350.079494611.6705
525854.855850.075847.562.511444.77814
535854.955857.355855.381.97047-2.4038
545870.95864.165862.751.402646.74319
555873.65871.225871.29-0.07073692.37699
565882.755883.335880.992.33968-0.58343
575867.75885.645890.29-4.64944-17.9443
585879.055894.145898.49-4.34967-15.0941
595895.65904.335906.43-2.09782-8.72718
605891.55908.415913.96-5.55106-16.9094
615954.055927.75920.017.6889926.3527
625952.955925.915925.190.72602227.0386
635960.155930.095930.010.079494630.058
645942.65936.955934.442.511445.64898
655957.555939.225937.251.9704718.3295
665949.155940.335938.931.402648.82027
675940.55937.345937.41-0.07073693.16449
685940.15934.655932.312.339685.44782
695926.25921.725926.36-4.649444.48486
705926.85917.245921.59-4.349679.56426
715915.35914.385916.47-2.097820.924904
725912.055904.565910.11-5.551067.49273
7358975912.415904.727.68899-15.4098
745887.755900.115899.390.726022-12.3635
755882.65895.485895.40.0794946-12.8795
765905.455895.145892.622.5114410.3136
7758725891.955889.981.97047-19.9455
785881.955888.655887.241.40264-6.69639
795878.45885.645885.71-0.0707369-7.2376
805874.25888.125885.782.33968-13.923
815896.45882.155886.8-4.6494414.2453
8258905884.145888.49-4.349675.86009
835888.558895891.1-2.09782-0.500096
845873.35889.125894.67-5.55106-15.8198
855898.95906.375898.687.68899-7.47024
865887.655904.595903.860.726022-16.9385
875907.25908.395908.310.0794946-1.18783
885921.35914.195911.682.511447.10523
895918.755917.685915.711.970471.06703
905920.955922.615921.211.40264-1.65889
915935.655926.615926.68-0.07073699.03949
925941.35934.485932.142.339686.82282
9359365933.575938.22-4.649442.42861
945931.45938.975943.32-4.34967-7.56699
955943.85947.035949.12-2.09782-3.22718
965949.855951.15956.65-5.55106-1.24686
975953.755971.895964.27.68899-18.139
985963.755972.815972.080.726022-9.05936
995977.15980.215980.130.0794946-3.11283
1005973.75991.045988.532.51144-17.3385
1016005.755999.855997.881.970475.90245
1026014.56009.26007.791.402645.30361
1036023.356018.796018.86-0.07073694.55615
1046042.86032.956030.612.339689.8499
1056027.76036.966041.61-4.64944-9.26098
1066041.156048.346052.69-4.34967-7.18991
1076058.456062.346064.44-2.09782-3.88968
1086073.26069.736075.28-5.551063.46773
1096096.16092.6860857.688993.41518
1106103.36095.666094.940.7260227.63856
1116101.556106.76106.620.0794946-5.14616
1126115.156122.396119.882.51144-7.23852
1136146.256135.416133.441.9704710.8379
1146134.36148.136146.731.40264-13.8339
1156136.65NANA-0.0707369NA
1166168.05NANA2.33968NA
1176182.8NANA-4.64944NA
1186204.3NANA-4.34967NA
1196220.85NANA-2.09782NA
1206229.75NANA-5.55106NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5315.1 & NA & NA & 7.68899 & NA \tabularnewline
2 & 5327.75 & NA & NA & 0.726022 & NA \tabularnewline
3 & 5349.45 & NA & NA & 0.0794946 & NA \tabularnewline
4 & 5346.8 & NA & NA & 2.51144 & NA \tabularnewline
5 & 5346.6 & NA & NA & 1.97047 & NA \tabularnewline
6 & 5325.25 & NA & NA & 1.40264 & NA \tabularnewline
7 & 5340.35 & 5363.01 & 5363.09 & -0.0707369 & -22.6647 \tabularnewline
8 & 5354.75 & 5374.82 & 5372.48 & 2.33968 & -20.0709 \tabularnewline
9 & 5382.85 & 5375.69 & 5380.34 & -4.64944 & 7.15777 \tabularnewline
10 & 5392.35 & 5384.04 & 5388.39 & -4.34967 & 8.30801 \tabularnewline
11 & 5400.35 & 5394.99 & 5397.09 & -2.09782 & 5.3624 \tabularnewline
12 & 5410.8 & 5402.43 & 5407.98 & -5.55106 & 8.37398 \tabularnewline
13 & 5444.35 & 5428.32 & 5420.63 & 7.68899 & 16.0298 \tabularnewline
14 & 5424 & 5433.7 & 5432.97 & 0.726022 & -9.69686 \tabularnewline
15 & 5441.85 & 5444.19 & 5444.11 & 0.0794946 & -2.34199 \tabularnewline
16 & 5447.6 & 5456.74 & 5454.22 & 2.51144 & -9.13644 \tabularnewline
17 & 5454.45 & 5466.39 & 5464.42 & 1.97047 & -11.9413 \tabularnewline
18 & 5478.8 & 5476.2 & 5474.8 & 1.40264 & 2.60152 \tabularnewline
19 & 5490.5 & 5484.26 & 5484.33 & -0.0707369 & 6.2374 \tabularnewline
20 & 5500.75 & 5496.76 & 5494.42 & 2.33968 & 3.9874 \tabularnewline
21 & 5504.25 & 5500.92 & 5505.56 & -4.64944 & 3.33486 \tabularnewline
22 & 5513.65 & 5512.49 & 5516.84 & -4.34967 & 1.15801 \tabularnewline
23 & 5523.75 & 5527.63 & 5529.73 & -2.09782 & -3.88343 \tabularnewline
24 & 5536.4 & 5536.71 & 5542.26 & -5.55106 & -0.311439 \tabularnewline
25 & 5547.65 & 5561.4 & 5553.71 & 7.68899 & -13.7473 \tabularnewline
26 & 5562.85 & 5566.66 & 5565.93 & 0.726022 & -3.80519 \tabularnewline
27 & 5570.4 & 5578.23 & 5578.15 & 0.0794946 & -7.82949 \tabularnewline
28 & 5589.7 & 5592.81 & 5590.3 & 2.51144 & -3.11352 \tabularnewline
29 & 5621.7 & 5604.85 & 5602.88 & 1.97047 & 16.8462 \tabularnewline
30 & 5612.3 & 5616.98 & 5615.58 & 1.40264 & -4.68389 \tabularnewline
31 & 5631.7 & 5628.28 & 5628.35 & -0.0707369 & 3.42282 \tabularnewline
32 & 5652.85 & 5643.26 & 5640.92 & 2.33968 & 9.59365 \tabularnewline
33 & 5645.45 & 5647.93 & 5652.58 & -4.64944 & -2.48181 \tabularnewline
34 & 5664.1 & 5659.66 & 5664.01 & -4.34967 & 4.44134 \tabularnewline
35 & 5675.25 & 5671.73 & 5673.83 & -2.09782 & 3.51865 \tabularnewline
36 & 5689.65 & 5677.73 & 5683.29 & -5.55106 & 11.9156 \tabularnewline
37 & 5700.8 & 5701.61 & 5693.92 & 7.68899 & -0.813985 \tabularnewline
38 & 5711.35 & 5704.34 & 5703.61 & 0.726022 & 7.00939 \tabularnewline
39 & 5701.85 & 5713.43 & 5713.35 & 0.0794946 & -11.5774 \tabularnewline
40 & 5732.5 & 5725.87 & 5723.35 & 2.51144 & 6.63439 \tabularnewline
41 & 5714.6 & 5735.64 & 5733.67 & 1.97047 & -21.0392 \tabularnewline
42 & 5746.35 & 5745.29 & 5743.89 & 1.40264 & 1.05777 \tabularnewline
43 & 5753 & 5754.24 & 5754.31 & -0.0707369 & -1.24176 \tabularnewline
44 & 5764.1 & 5767.57 & 5765.23 & 2.33968 & -3.47093 \tabularnewline
45 & 5767.8 & 5772.11 & 5776.76 & -4.64944 & -4.31098 \tabularnewline
46 & 5781.9 & 5783.73 & 5788.08 & -4.34967 & -1.82741 \tabularnewline
47 & 5805 & 5796.93 & 5799.02 & -2.09782 & 8.0749 \tabularnewline
48 & 5805.2 & 5804.51 & 5810.06 & -5.55106 & 0.690644 \tabularnewline
49 & 5835.4 & 5827.96 & 5820.27 & 7.68899 & 7.43601 \tabularnewline
50 & 5838.8 & 5830.97 & 5830.24 & 0.726022 & 7.83023 \tabularnewline
51 & 5851.1 & 5839.43 & 5839.35 & 0.0794946 & 11.6705 \tabularnewline
52 & 5854.85 & 5850.07 & 5847.56 & 2.51144 & 4.77814 \tabularnewline
53 & 5854.95 & 5857.35 & 5855.38 & 1.97047 & -2.4038 \tabularnewline
54 & 5870.9 & 5864.16 & 5862.75 & 1.40264 & 6.74319 \tabularnewline
55 & 5873.6 & 5871.22 & 5871.29 & -0.0707369 & 2.37699 \tabularnewline
56 & 5882.75 & 5883.33 & 5880.99 & 2.33968 & -0.58343 \tabularnewline
57 & 5867.7 & 5885.64 & 5890.29 & -4.64944 & -17.9443 \tabularnewline
58 & 5879.05 & 5894.14 & 5898.49 & -4.34967 & -15.0941 \tabularnewline
59 & 5895.6 & 5904.33 & 5906.43 & -2.09782 & -8.72718 \tabularnewline
60 & 5891.5 & 5908.41 & 5913.96 & -5.55106 & -16.9094 \tabularnewline
61 & 5954.05 & 5927.7 & 5920.01 & 7.68899 & 26.3527 \tabularnewline
62 & 5952.95 & 5925.91 & 5925.19 & 0.726022 & 27.0386 \tabularnewline
63 & 5960.15 & 5930.09 & 5930.01 & 0.0794946 & 30.058 \tabularnewline
64 & 5942.6 & 5936.95 & 5934.44 & 2.51144 & 5.64898 \tabularnewline
65 & 5957.55 & 5939.22 & 5937.25 & 1.97047 & 18.3295 \tabularnewline
66 & 5949.15 & 5940.33 & 5938.93 & 1.40264 & 8.82027 \tabularnewline
67 & 5940.5 & 5937.34 & 5937.41 & -0.0707369 & 3.16449 \tabularnewline
68 & 5940.1 & 5934.65 & 5932.31 & 2.33968 & 5.44782 \tabularnewline
69 & 5926.2 & 5921.72 & 5926.36 & -4.64944 & 4.48486 \tabularnewline
70 & 5926.8 & 5917.24 & 5921.59 & -4.34967 & 9.56426 \tabularnewline
71 & 5915.3 & 5914.38 & 5916.47 & -2.09782 & 0.924904 \tabularnewline
72 & 5912.05 & 5904.56 & 5910.11 & -5.55106 & 7.49273 \tabularnewline
73 & 5897 & 5912.41 & 5904.72 & 7.68899 & -15.4098 \tabularnewline
74 & 5887.75 & 5900.11 & 5899.39 & 0.726022 & -12.3635 \tabularnewline
75 & 5882.6 & 5895.48 & 5895.4 & 0.0794946 & -12.8795 \tabularnewline
76 & 5905.45 & 5895.14 & 5892.62 & 2.51144 & 10.3136 \tabularnewline
77 & 5872 & 5891.95 & 5889.98 & 1.97047 & -19.9455 \tabularnewline
78 & 5881.95 & 5888.65 & 5887.24 & 1.40264 & -6.69639 \tabularnewline
79 & 5878.4 & 5885.64 & 5885.71 & -0.0707369 & -7.2376 \tabularnewline
80 & 5874.2 & 5888.12 & 5885.78 & 2.33968 & -13.923 \tabularnewline
81 & 5896.4 & 5882.15 & 5886.8 & -4.64944 & 14.2453 \tabularnewline
82 & 5890 & 5884.14 & 5888.49 & -4.34967 & 5.86009 \tabularnewline
83 & 5888.5 & 5889 & 5891.1 & -2.09782 & -0.500096 \tabularnewline
84 & 5873.3 & 5889.12 & 5894.67 & -5.55106 & -15.8198 \tabularnewline
85 & 5898.9 & 5906.37 & 5898.68 & 7.68899 & -7.47024 \tabularnewline
86 & 5887.65 & 5904.59 & 5903.86 & 0.726022 & -16.9385 \tabularnewline
87 & 5907.2 & 5908.39 & 5908.31 & 0.0794946 & -1.18783 \tabularnewline
88 & 5921.3 & 5914.19 & 5911.68 & 2.51144 & 7.10523 \tabularnewline
89 & 5918.75 & 5917.68 & 5915.71 & 1.97047 & 1.06703 \tabularnewline
90 & 5920.95 & 5922.61 & 5921.21 & 1.40264 & -1.65889 \tabularnewline
91 & 5935.65 & 5926.61 & 5926.68 & -0.0707369 & 9.03949 \tabularnewline
92 & 5941.3 & 5934.48 & 5932.14 & 2.33968 & 6.82282 \tabularnewline
93 & 5936 & 5933.57 & 5938.22 & -4.64944 & 2.42861 \tabularnewline
94 & 5931.4 & 5938.97 & 5943.32 & -4.34967 & -7.56699 \tabularnewline
95 & 5943.8 & 5947.03 & 5949.12 & -2.09782 & -3.22718 \tabularnewline
96 & 5949.85 & 5951.1 & 5956.65 & -5.55106 & -1.24686 \tabularnewline
97 & 5953.75 & 5971.89 & 5964.2 & 7.68899 & -18.139 \tabularnewline
98 & 5963.75 & 5972.81 & 5972.08 & 0.726022 & -9.05936 \tabularnewline
99 & 5977.1 & 5980.21 & 5980.13 & 0.0794946 & -3.11283 \tabularnewline
100 & 5973.7 & 5991.04 & 5988.53 & 2.51144 & -17.3385 \tabularnewline
101 & 6005.75 & 5999.85 & 5997.88 & 1.97047 & 5.90245 \tabularnewline
102 & 6014.5 & 6009.2 & 6007.79 & 1.40264 & 5.30361 \tabularnewline
103 & 6023.35 & 6018.79 & 6018.86 & -0.0707369 & 4.55615 \tabularnewline
104 & 6042.8 & 6032.95 & 6030.61 & 2.33968 & 9.8499 \tabularnewline
105 & 6027.7 & 6036.96 & 6041.61 & -4.64944 & -9.26098 \tabularnewline
106 & 6041.15 & 6048.34 & 6052.69 & -4.34967 & -7.18991 \tabularnewline
107 & 6058.45 & 6062.34 & 6064.44 & -2.09782 & -3.88968 \tabularnewline
108 & 6073.2 & 6069.73 & 6075.28 & -5.55106 & 3.46773 \tabularnewline
109 & 6096.1 & 6092.68 & 6085 & 7.68899 & 3.41518 \tabularnewline
110 & 6103.3 & 6095.66 & 6094.94 & 0.726022 & 7.63856 \tabularnewline
111 & 6101.55 & 6106.7 & 6106.62 & 0.0794946 & -5.14616 \tabularnewline
112 & 6115.15 & 6122.39 & 6119.88 & 2.51144 & -7.23852 \tabularnewline
113 & 6146.25 & 6135.41 & 6133.44 & 1.97047 & 10.8379 \tabularnewline
114 & 6134.3 & 6148.13 & 6146.73 & 1.40264 & -13.8339 \tabularnewline
115 & 6136.65 & NA & NA & -0.0707369 & NA \tabularnewline
116 & 6168.05 & NA & NA & 2.33968 & NA \tabularnewline
117 & 6182.8 & NA & NA & -4.64944 & NA \tabularnewline
118 & 6204.3 & NA & NA & -4.34967 & NA \tabularnewline
119 & 6220.85 & NA & NA & -2.09782 & NA \tabularnewline
120 & 6229.75 & NA & NA & -5.55106 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297716&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]5315.1[/C][C]NA[/C][C]NA[/C][C]7.68899[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5327.75[/C][C]NA[/C][C]NA[/C][C]0.726022[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5349.45[/C][C]NA[/C][C]NA[/C][C]0.0794946[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5346.8[/C][C]NA[/C][C]NA[/C][C]2.51144[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5346.6[/C][C]NA[/C][C]NA[/C][C]1.97047[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5325.25[/C][C]NA[/C][C]NA[/C][C]1.40264[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5340.35[/C][C]5363.01[/C][C]5363.09[/C][C]-0.0707369[/C][C]-22.6647[/C][/ROW]
[ROW][C]8[/C][C]5354.75[/C][C]5374.82[/C][C]5372.48[/C][C]2.33968[/C][C]-20.0709[/C][/ROW]
[ROW][C]9[/C][C]5382.85[/C][C]5375.69[/C][C]5380.34[/C][C]-4.64944[/C][C]7.15777[/C][/ROW]
[ROW][C]10[/C][C]5392.35[/C][C]5384.04[/C][C]5388.39[/C][C]-4.34967[/C][C]8.30801[/C][/ROW]
[ROW][C]11[/C][C]5400.35[/C][C]5394.99[/C][C]5397.09[/C][C]-2.09782[/C][C]5.3624[/C][/ROW]
[ROW][C]12[/C][C]5410.8[/C][C]5402.43[/C][C]5407.98[/C][C]-5.55106[/C][C]8.37398[/C][/ROW]
[ROW][C]13[/C][C]5444.35[/C][C]5428.32[/C][C]5420.63[/C][C]7.68899[/C][C]16.0298[/C][/ROW]
[ROW][C]14[/C][C]5424[/C][C]5433.7[/C][C]5432.97[/C][C]0.726022[/C][C]-9.69686[/C][/ROW]
[ROW][C]15[/C][C]5441.85[/C][C]5444.19[/C][C]5444.11[/C][C]0.0794946[/C][C]-2.34199[/C][/ROW]
[ROW][C]16[/C][C]5447.6[/C][C]5456.74[/C][C]5454.22[/C][C]2.51144[/C][C]-9.13644[/C][/ROW]
[ROW][C]17[/C][C]5454.45[/C][C]5466.39[/C][C]5464.42[/C][C]1.97047[/C][C]-11.9413[/C][/ROW]
[ROW][C]18[/C][C]5478.8[/C][C]5476.2[/C][C]5474.8[/C][C]1.40264[/C][C]2.60152[/C][/ROW]
[ROW][C]19[/C][C]5490.5[/C][C]5484.26[/C][C]5484.33[/C][C]-0.0707369[/C][C]6.2374[/C][/ROW]
[ROW][C]20[/C][C]5500.75[/C][C]5496.76[/C][C]5494.42[/C][C]2.33968[/C][C]3.9874[/C][/ROW]
[ROW][C]21[/C][C]5504.25[/C][C]5500.92[/C][C]5505.56[/C][C]-4.64944[/C][C]3.33486[/C][/ROW]
[ROW][C]22[/C][C]5513.65[/C][C]5512.49[/C][C]5516.84[/C][C]-4.34967[/C][C]1.15801[/C][/ROW]
[ROW][C]23[/C][C]5523.75[/C][C]5527.63[/C][C]5529.73[/C][C]-2.09782[/C][C]-3.88343[/C][/ROW]
[ROW][C]24[/C][C]5536.4[/C][C]5536.71[/C][C]5542.26[/C][C]-5.55106[/C][C]-0.311439[/C][/ROW]
[ROW][C]25[/C][C]5547.65[/C][C]5561.4[/C][C]5553.71[/C][C]7.68899[/C][C]-13.7473[/C][/ROW]
[ROW][C]26[/C][C]5562.85[/C][C]5566.66[/C][C]5565.93[/C][C]0.726022[/C][C]-3.80519[/C][/ROW]
[ROW][C]27[/C][C]5570.4[/C][C]5578.23[/C][C]5578.15[/C][C]0.0794946[/C][C]-7.82949[/C][/ROW]
[ROW][C]28[/C][C]5589.7[/C][C]5592.81[/C][C]5590.3[/C][C]2.51144[/C][C]-3.11352[/C][/ROW]
[ROW][C]29[/C][C]5621.7[/C][C]5604.85[/C][C]5602.88[/C][C]1.97047[/C][C]16.8462[/C][/ROW]
[ROW][C]30[/C][C]5612.3[/C][C]5616.98[/C][C]5615.58[/C][C]1.40264[/C][C]-4.68389[/C][/ROW]
[ROW][C]31[/C][C]5631.7[/C][C]5628.28[/C][C]5628.35[/C][C]-0.0707369[/C][C]3.42282[/C][/ROW]
[ROW][C]32[/C][C]5652.85[/C][C]5643.26[/C][C]5640.92[/C][C]2.33968[/C][C]9.59365[/C][/ROW]
[ROW][C]33[/C][C]5645.45[/C][C]5647.93[/C][C]5652.58[/C][C]-4.64944[/C][C]-2.48181[/C][/ROW]
[ROW][C]34[/C][C]5664.1[/C][C]5659.66[/C][C]5664.01[/C][C]-4.34967[/C][C]4.44134[/C][/ROW]
[ROW][C]35[/C][C]5675.25[/C][C]5671.73[/C][C]5673.83[/C][C]-2.09782[/C][C]3.51865[/C][/ROW]
[ROW][C]36[/C][C]5689.65[/C][C]5677.73[/C][C]5683.29[/C][C]-5.55106[/C][C]11.9156[/C][/ROW]
[ROW][C]37[/C][C]5700.8[/C][C]5701.61[/C][C]5693.92[/C][C]7.68899[/C][C]-0.813985[/C][/ROW]
[ROW][C]38[/C][C]5711.35[/C][C]5704.34[/C][C]5703.61[/C][C]0.726022[/C][C]7.00939[/C][/ROW]
[ROW][C]39[/C][C]5701.85[/C][C]5713.43[/C][C]5713.35[/C][C]0.0794946[/C][C]-11.5774[/C][/ROW]
[ROW][C]40[/C][C]5732.5[/C][C]5725.87[/C][C]5723.35[/C][C]2.51144[/C][C]6.63439[/C][/ROW]
[ROW][C]41[/C][C]5714.6[/C][C]5735.64[/C][C]5733.67[/C][C]1.97047[/C][C]-21.0392[/C][/ROW]
[ROW][C]42[/C][C]5746.35[/C][C]5745.29[/C][C]5743.89[/C][C]1.40264[/C][C]1.05777[/C][/ROW]
[ROW][C]43[/C][C]5753[/C][C]5754.24[/C][C]5754.31[/C][C]-0.0707369[/C][C]-1.24176[/C][/ROW]
[ROW][C]44[/C][C]5764.1[/C][C]5767.57[/C][C]5765.23[/C][C]2.33968[/C][C]-3.47093[/C][/ROW]
[ROW][C]45[/C][C]5767.8[/C][C]5772.11[/C][C]5776.76[/C][C]-4.64944[/C][C]-4.31098[/C][/ROW]
[ROW][C]46[/C][C]5781.9[/C][C]5783.73[/C][C]5788.08[/C][C]-4.34967[/C][C]-1.82741[/C][/ROW]
[ROW][C]47[/C][C]5805[/C][C]5796.93[/C][C]5799.02[/C][C]-2.09782[/C][C]8.0749[/C][/ROW]
[ROW][C]48[/C][C]5805.2[/C][C]5804.51[/C][C]5810.06[/C][C]-5.55106[/C][C]0.690644[/C][/ROW]
[ROW][C]49[/C][C]5835.4[/C][C]5827.96[/C][C]5820.27[/C][C]7.68899[/C][C]7.43601[/C][/ROW]
[ROW][C]50[/C][C]5838.8[/C][C]5830.97[/C][C]5830.24[/C][C]0.726022[/C][C]7.83023[/C][/ROW]
[ROW][C]51[/C][C]5851.1[/C][C]5839.43[/C][C]5839.35[/C][C]0.0794946[/C][C]11.6705[/C][/ROW]
[ROW][C]52[/C][C]5854.85[/C][C]5850.07[/C][C]5847.56[/C][C]2.51144[/C][C]4.77814[/C][/ROW]
[ROW][C]53[/C][C]5854.95[/C][C]5857.35[/C][C]5855.38[/C][C]1.97047[/C][C]-2.4038[/C][/ROW]
[ROW][C]54[/C][C]5870.9[/C][C]5864.16[/C][C]5862.75[/C][C]1.40264[/C][C]6.74319[/C][/ROW]
[ROW][C]55[/C][C]5873.6[/C][C]5871.22[/C][C]5871.29[/C][C]-0.0707369[/C][C]2.37699[/C][/ROW]
[ROW][C]56[/C][C]5882.75[/C][C]5883.33[/C][C]5880.99[/C][C]2.33968[/C][C]-0.58343[/C][/ROW]
[ROW][C]57[/C][C]5867.7[/C][C]5885.64[/C][C]5890.29[/C][C]-4.64944[/C][C]-17.9443[/C][/ROW]
[ROW][C]58[/C][C]5879.05[/C][C]5894.14[/C][C]5898.49[/C][C]-4.34967[/C][C]-15.0941[/C][/ROW]
[ROW][C]59[/C][C]5895.6[/C][C]5904.33[/C][C]5906.43[/C][C]-2.09782[/C][C]-8.72718[/C][/ROW]
[ROW][C]60[/C][C]5891.5[/C][C]5908.41[/C][C]5913.96[/C][C]-5.55106[/C][C]-16.9094[/C][/ROW]
[ROW][C]61[/C][C]5954.05[/C][C]5927.7[/C][C]5920.01[/C][C]7.68899[/C][C]26.3527[/C][/ROW]
[ROW][C]62[/C][C]5952.95[/C][C]5925.91[/C][C]5925.19[/C][C]0.726022[/C][C]27.0386[/C][/ROW]
[ROW][C]63[/C][C]5960.15[/C][C]5930.09[/C][C]5930.01[/C][C]0.0794946[/C][C]30.058[/C][/ROW]
[ROW][C]64[/C][C]5942.6[/C][C]5936.95[/C][C]5934.44[/C][C]2.51144[/C][C]5.64898[/C][/ROW]
[ROW][C]65[/C][C]5957.55[/C][C]5939.22[/C][C]5937.25[/C][C]1.97047[/C][C]18.3295[/C][/ROW]
[ROW][C]66[/C][C]5949.15[/C][C]5940.33[/C][C]5938.93[/C][C]1.40264[/C][C]8.82027[/C][/ROW]
[ROW][C]67[/C][C]5940.5[/C][C]5937.34[/C][C]5937.41[/C][C]-0.0707369[/C][C]3.16449[/C][/ROW]
[ROW][C]68[/C][C]5940.1[/C][C]5934.65[/C][C]5932.31[/C][C]2.33968[/C][C]5.44782[/C][/ROW]
[ROW][C]69[/C][C]5926.2[/C][C]5921.72[/C][C]5926.36[/C][C]-4.64944[/C][C]4.48486[/C][/ROW]
[ROW][C]70[/C][C]5926.8[/C][C]5917.24[/C][C]5921.59[/C][C]-4.34967[/C][C]9.56426[/C][/ROW]
[ROW][C]71[/C][C]5915.3[/C][C]5914.38[/C][C]5916.47[/C][C]-2.09782[/C][C]0.924904[/C][/ROW]
[ROW][C]72[/C][C]5912.05[/C][C]5904.56[/C][C]5910.11[/C][C]-5.55106[/C][C]7.49273[/C][/ROW]
[ROW][C]73[/C][C]5897[/C][C]5912.41[/C][C]5904.72[/C][C]7.68899[/C][C]-15.4098[/C][/ROW]
[ROW][C]74[/C][C]5887.75[/C][C]5900.11[/C][C]5899.39[/C][C]0.726022[/C][C]-12.3635[/C][/ROW]
[ROW][C]75[/C][C]5882.6[/C][C]5895.48[/C][C]5895.4[/C][C]0.0794946[/C][C]-12.8795[/C][/ROW]
[ROW][C]76[/C][C]5905.45[/C][C]5895.14[/C][C]5892.62[/C][C]2.51144[/C][C]10.3136[/C][/ROW]
[ROW][C]77[/C][C]5872[/C][C]5891.95[/C][C]5889.98[/C][C]1.97047[/C][C]-19.9455[/C][/ROW]
[ROW][C]78[/C][C]5881.95[/C][C]5888.65[/C][C]5887.24[/C][C]1.40264[/C][C]-6.69639[/C][/ROW]
[ROW][C]79[/C][C]5878.4[/C][C]5885.64[/C][C]5885.71[/C][C]-0.0707369[/C][C]-7.2376[/C][/ROW]
[ROW][C]80[/C][C]5874.2[/C][C]5888.12[/C][C]5885.78[/C][C]2.33968[/C][C]-13.923[/C][/ROW]
[ROW][C]81[/C][C]5896.4[/C][C]5882.15[/C][C]5886.8[/C][C]-4.64944[/C][C]14.2453[/C][/ROW]
[ROW][C]82[/C][C]5890[/C][C]5884.14[/C][C]5888.49[/C][C]-4.34967[/C][C]5.86009[/C][/ROW]
[ROW][C]83[/C][C]5888.5[/C][C]5889[/C][C]5891.1[/C][C]-2.09782[/C][C]-0.500096[/C][/ROW]
[ROW][C]84[/C][C]5873.3[/C][C]5889.12[/C][C]5894.67[/C][C]-5.55106[/C][C]-15.8198[/C][/ROW]
[ROW][C]85[/C][C]5898.9[/C][C]5906.37[/C][C]5898.68[/C][C]7.68899[/C][C]-7.47024[/C][/ROW]
[ROW][C]86[/C][C]5887.65[/C][C]5904.59[/C][C]5903.86[/C][C]0.726022[/C][C]-16.9385[/C][/ROW]
[ROW][C]87[/C][C]5907.2[/C][C]5908.39[/C][C]5908.31[/C][C]0.0794946[/C][C]-1.18783[/C][/ROW]
[ROW][C]88[/C][C]5921.3[/C][C]5914.19[/C][C]5911.68[/C][C]2.51144[/C][C]7.10523[/C][/ROW]
[ROW][C]89[/C][C]5918.75[/C][C]5917.68[/C][C]5915.71[/C][C]1.97047[/C][C]1.06703[/C][/ROW]
[ROW][C]90[/C][C]5920.95[/C][C]5922.61[/C][C]5921.21[/C][C]1.40264[/C][C]-1.65889[/C][/ROW]
[ROW][C]91[/C][C]5935.65[/C][C]5926.61[/C][C]5926.68[/C][C]-0.0707369[/C][C]9.03949[/C][/ROW]
[ROW][C]92[/C][C]5941.3[/C][C]5934.48[/C][C]5932.14[/C][C]2.33968[/C][C]6.82282[/C][/ROW]
[ROW][C]93[/C][C]5936[/C][C]5933.57[/C][C]5938.22[/C][C]-4.64944[/C][C]2.42861[/C][/ROW]
[ROW][C]94[/C][C]5931.4[/C][C]5938.97[/C][C]5943.32[/C][C]-4.34967[/C][C]-7.56699[/C][/ROW]
[ROW][C]95[/C][C]5943.8[/C][C]5947.03[/C][C]5949.12[/C][C]-2.09782[/C][C]-3.22718[/C][/ROW]
[ROW][C]96[/C][C]5949.85[/C][C]5951.1[/C][C]5956.65[/C][C]-5.55106[/C][C]-1.24686[/C][/ROW]
[ROW][C]97[/C][C]5953.75[/C][C]5971.89[/C][C]5964.2[/C][C]7.68899[/C][C]-18.139[/C][/ROW]
[ROW][C]98[/C][C]5963.75[/C][C]5972.81[/C][C]5972.08[/C][C]0.726022[/C][C]-9.05936[/C][/ROW]
[ROW][C]99[/C][C]5977.1[/C][C]5980.21[/C][C]5980.13[/C][C]0.0794946[/C][C]-3.11283[/C][/ROW]
[ROW][C]100[/C][C]5973.7[/C][C]5991.04[/C][C]5988.53[/C][C]2.51144[/C][C]-17.3385[/C][/ROW]
[ROW][C]101[/C][C]6005.75[/C][C]5999.85[/C][C]5997.88[/C][C]1.97047[/C][C]5.90245[/C][/ROW]
[ROW][C]102[/C][C]6014.5[/C][C]6009.2[/C][C]6007.79[/C][C]1.40264[/C][C]5.30361[/C][/ROW]
[ROW][C]103[/C][C]6023.35[/C][C]6018.79[/C][C]6018.86[/C][C]-0.0707369[/C][C]4.55615[/C][/ROW]
[ROW][C]104[/C][C]6042.8[/C][C]6032.95[/C][C]6030.61[/C][C]2.33968[/C][C]9.8499[/C][/ROW]
[ROW][C]105[/C][C]6027.7[/C][C]6036.96[/C][C]6041.61[/C][C]-4.64944[/C][C]-9.26098[/C][/ROW]
[ROW][C]106[/C][C]6041.15[/C][C]6048.34[/C][C]6052.69[/C][C]-4.34967[/C][C]-7.18991[/C][/ROW]
[ROW][C]107[/C][C]6058.45[/C][C]6062.34[/C][C]6064.44[/C][C]-2.09782[/C][C]-3.88968[/C][/ROW]
[ROW][C]108[/C][C]6073.2[/C][C]6069.73[/C][C]6075.28[/C][C]-5.55106[/C][C]3.46773[/C][/ROW]
[ROW][C]109[/C][C]6096.1[/C][C]6092.68[/C][C]6085[/C][C]7.68899[/C][C]3.41518[/C][/ROW]
[ROW][C]110[/C][C]6103.3[/C][C]6095.66[/C][C]6094.94[/C][C]0.726022[/C][C]7.63856[/C][/ROW]
[ROW][C]111[/C][C]6101.55[/C][C]6106.7[/C][C]6106.62[/C][C]0.0794946[/C][C]-5.14616[/C][/ROW]
[ROW][C]112[/C][C]6115.15[/C][C]6122.39[/C][C]6119.88[/C][C]2.51144[/C][C]-7.23852[/C][/ROW]
[ROW][C]113[/C][C]6146.25[/C][C]6135.41[/C][C]6133.44[/C][C]1.97047[/C][C]10.8379[/C][/ROW]
[ROW][C]114[/C][C]6134.3[/C][C]6148.13[/C][C]6146.73[/C][C]1.40264[/C][C]-13.8339[/C][/ROW]
[ROW][C]115[/C][C]6136.65[/C][C]NA[/C][C]NA[/C][C]-0.0707369[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]6168.05[/C][C]NA[/C][C]NA[/C][C]2.33968[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]6182.8[/C][C]NA[/C][C]NA[/C][C]-4.64944[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]6204.3[/C][C]NA[/C][C]NA[/C][C]-4.34967[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]6220.85[/C][C]NA[/C][C]NA[/C][C]-2.09782[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]6229.75[/C][C]NA[/C][C]NA[/C][C]-5.55106[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297716&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297716&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
15315.1NANA7.68899NA
25327.75NANA0.726022NA
35349.45NANA0.0794946NA
45346.8NANA2.51144NA
55346.6NANA1.97047NA
65325.25NANA1.40264NA
75340.355363.015363.09-0.0707369-22.6647
85354.755374.825372.482.33968-20.0709
95382.855375.695380.34-4.649447.15777
105392.355384.045388.39-4.349678.30801
115400.355394.995397.09-2.097825.3624
125410.85402.435407.98-5.551068.37398
135444.355428.325420.637.6889916.0298
1454245433.75432.970.726022-9.69686
155441.855444.195444.110.0794946-2.34199
165447.65456.745454.222.51144-9.13644
175454.455466.395464.421.97047-11.9413
185478.85476.25474.81.402642.60152
195490.55484.265484.33-0.07073696.2374
205500.755496.765494.422.339683.9874
215504.255500.925505.56-4.649443.33486
225513.655512.495516.84-4.349671.15801
235523.755527.635529.73-2.09782-3.88343
245536.45536.715542.26-5.55106-0.311439
255547.655561.45553.717.68899-13.7473
265562.855566.665565.930.726022-3.80519
275570.45578.235578.150.0794946-7.82949
285589.75592.815590.32.51144-3.11352
295621.75604.855602.881.9704716.8462
305612.35616.985615.581.40264-4.68389
315631.75628.285628.35-0.07073693.42282
325652.855643.265640.922.339689.59365
335645.455647.935652.58-4.64944-2.48181
345664.15659.665664.01-4.349674.44134
355675.255671.735673.83-2.097823.51865
365689.655677.735683.29-5.5510611.9156
375700.85701.615693.927.68899-0.813985
385711.355704.345703.610.7260227.00939
395701.855713.435713.350.0794946-11.5774
405732.55725.875723.352.511446.63439
415714.65735.645733.671.97047-21.0392
425746.355745.295743.891.402641.05777
4357535754.245754.31-0.0707369-1.24176
445764.15767.575765.232.33968-3.47093
455767.85772.115776.76-4.64944-4.31098
465781.95783.735788.08-4.34967-1.82741
4758055796.935799.02-2.097828.0749
485805.25804.515810.06-5.551060.690644
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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')