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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 05 Jul 2016 15:14:27 +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/Jul/05/t1467728101c9234qu69wlyi9g.htm/, Retrieved Fri, 03 May 2024 04:43:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295798, Retrieved Fri, 03 May 2024 04:43:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Klassieke decompo...] [2016-07-05 14:14:27] [fcb50c3fd850be3d4e9c7b78a2663ee0] [Current]
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Dataseries X:
2120
2100
2080
2040
2440
2420
2120
1920
1940
1940
1960
2000
2120
2080
2140
2240
2800
2800
2680
2560
2660
2780
2800
2860
3040
2920
2920
3100
3600
3640
3540
3300
3480
3480
3500
3600
3680
3720
3720
3840
4300
4420
4440
4140
4300
4240
4120
4380
4440
4340
4360
4500
5020
5280
5280
5160
5340
5160
5060
5440
5500
5360
5720
5860
6280
6560
6520
6500
6660
6640
6400
6760
6880
6760
7260
7500
8060
8280
8220
8100
8200
8320
7920
8240
8440
8360
8880
9060
9820
9960
9780
9880
9940
10000
9620
9980
10180
9980
10560
10740
11520
11640
11680
11880
11880
11960
11600
11780
11900
11680
12320
12440
13240
13380
13580
13760
13780
13800
13440
13800




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295798&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295798&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295798&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12120NANA0.984805NA
22100NANA0.949784NA
32080NANA0.968713NA
42040NANA0.980388NA
52440NANA1.07101NA
62420NANA1.07547NA
721202185.3920901.045640.970079
819202082.082089.170.9966060.922157
919402101.42090.831.005050.923193
1019402082.912101.670.9910730.931391
1119602029.7921250.9551980.965615
1220002104.662155.830.9762630.950272
1321202161.6521950.9848050.980734
1420802132.2622450.9497840.975489
1521402229.652301.670.9687130.95979
1622402320.252366.670.9803880.965413
1728002609.692436.671.071011.07292
1828002696.732507.51.075471.03829
1926802699.52581.671.045640.992778
2025602645.9926550.9966060.967503
2126602736.262722.51.005050.972129
2227802765.922790.830.9910731.00509
2328002731.8628600.9551981.02494
2428602858.822928.330.9762631.00041
2530402953.592999.170.9848051.02925
2629202911.883065.830.9497841.00279
2729203032.883130.830.9687130.962782
2831003131.523194.170.9803880.989934
2936003483.463252.51.071011.03346
3036403562.483312.51.075471.02176
3135403523.8133701.045641.00459
3233003418.3634300.9966060.965376
3334803514.343496.671.005050.990228
3434803529.053560.830.9910730.986102
3535003458.613620.830.9551981.01197
3636003595.093682.50.9762631.00137
3736803695.483752.50.9848050.995811
3837203632.9238250.9497841.02397
3937203772.333894.170.9687130.986128
4038403882.3439600.9803880.989095
4143004302.784017.51.071010.999353
4244204383.424075.831.075471.00835
4344404328.9541401.045641.02565
4441404183.254197.50.9966060.989661
4543004271.4842501.005051.00668
4642404265.744304.170.9910730.993965
4741204166.254361.670.9551980.988898
4843804322.414427.50.9762631.01332
4944404429.984498.330.9848051.00226
5043404346.054575.830.9497840.998608
5143604515.824661.670.9687130.965496
5245004650.314743.330.9803880.967678
5350205163.164820.831.071010.972273
5452805274.264904.171.075471.00109
5552805220.364992.51.045641.01142
5651605061.935079.170.9966061.01937
5753405204.515178.331.005051.02603
5851605244.435291.670.9910730.983901
5950605158.865400.830.9551980.980836
6054405375.965506.670.9762631.01191
6155005526.45611.670.9848050.995223
6253605431.975719.170.9497840.986751
6357205647.5958300.9687131.01282
6458605830.045946.670.9803881.00514
6562806494.786064.171.071010.96693
666560664161751.075470.987803
6765206574.476287.51.045640.991715
6865006381.66403.330.9966061.01855
6966606558.826525.831.005051.01543
7066406598.96658.330.9910731.00623
7164006496.146800.830.9551980.985201
7267606781.786946.670.9762630.996789
7368806981.457089.170.9848050.985469
7467606863.777226.670.9497840.984882
7572607127.37357.50.9687131.01862
7675007344.747491.670.9803881.02114
7780608166.4576251.071010.986965
7882808334.8677501.075470.993418
7982208236.177876.671.045640.998037
8081007981.158008.330.9966061.01489
8182008183.668142.51.005051.002
8283208201.1382750.9910731.01449
8379208036.48413.330.9551980.985516
8482408353.568556.670.9762630.986406
8584408559.68691.670.9848050.986028
8683608387.388830.830.9497840.996736
8788808696.628977.50.9687131.02109
8890608941.1491200.9803881.01329
8998209918.459260.831.071010.990074
90996010113.99404.171.075470.984787
91978099859549.171.045640.979469
9298809656.289689.170.9966061.02317
9399409876.349826.671.005051.00645
94100009877.79966.670.9910731.01238
9596209654.6610107.50.9551980.99641
96998010005.110248.30.9762630.997494
971018010239.510397.50.9848050.994188
98998010029.7105600.9497840.995043
991056010388.610724.20.9687131.0165
1001074010673.210886.70.9803881.00626
1011152011835.611050.81.071010.973338
1021164012054.211208.31.075470.96564
1031168011873.3113551.045640.983724
1041188011458.511497.50.9966061.03679
1051188011700.511641.71.005051.01534
1061196011680.611785.80.9910731.02392
1071160011393.911928.30.9551981.01809
1081178011785.912072.50.9762630.999496
1091190012038.412224.20.9848050.988502
1101168011759.912381.70.9497840.993205
1111232012146.812539.20.9687131.01425
1121244012446126950.9803880.999516
1131324013760.712848.31.071010.962161
1141338013990.913009.21.075470.956335
11513580NANA1.04564NA
11613760NANA0.996606NA
11713780NANA1.00505NA
11813800NANA0.991073NA
11913440NANA0.955198NA
12013800NANA0.976263NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2120 & NA & NA & 0.984805 & NA \tabularnewline
2 & 2100 & NA & NA & 0.949784 & NA \tabularnewline
3 & 2080 & NA & NA & 0.968713 & NA \tabularnewline
4 & 2040 & NA & NA & 0.980388 & NA \tabularnewline
5 & 2440 & NA & NA & 1.07101 & NA \tabularnewline
6 & 2420 & NA & NA & 1.07547 & NA \tabularnewline
7 & 2120 & 2185.39 & 2090 & 1.04564 & 0.970079 \tabularnewline
8 & 1920 & 2082.08 & 2089.17 & 0.996606 & 0.922157 \tabularnewline
9 & 1940 & 2101.4 & 2090.83 & 1.00505 & 0.923193 \tabularnewline
10 & 1940 & 2082.91 & 2101.67 & 0.991073 & 0.931391 \tabularnewline
11 & 1960 & 2029.79 & 2125 & 0.955198 & 0.965615 \tabularnewline
12 & 2000 & 2104.66 & 2155.83 & 0.976263 & 0.950272 \tabularnewline
13 & 2120 & 2161.65 & 2195 & 0.984805 & 0.980734 \tabularnewline
14 & 2080 & 2132.26 & 2245 & 0.949784 & 0.975489 \tabularnewline
15 & 2140 & 2229.65 & 2301.67 & 0.968713 & 0.95979 \tabularnewline
16 & 2240 & 2320.25 & 2366.67 & 0.980388 & 0.965413 \tabularnewline
17 & 2800 & 2609.69 & 2436.67 & 1.07101 & 1.07292 \tabularnewline
18 & 2800 & 2696.73 & 2507.5 & 1.07547 & 1.03829 \tabularnewline
19 & 2680 & 2699.5 & 2581.67 & 1.04564 & 0.992778 \tabularnewline
20 & 2560 & 2645.99 & 2655 & 0.996606 & 0.967503 \tabularnewline
21 & 2660 & 2736.26 & 2722.5 & 1.00505 & 0.972129 \tabularnewline
22 & 2780 & 2765.92 & 2790.83 & 0.991073 & 1.00509 \tabularnewline
23 & 2800 & 2731.86 & 2860 & 0.955198 & 1.02494 \tabularnewline
24 & 2860 & 2858.82 & 2928.33 & 0.976263 & 1.00041 \tabularnewline
25 & 3040 & 2953.59 & 2999.17 & 0.984805 & 1.02925 \tabularnewline
26 & 2920 & 2911.88 & 3065.83 & 0.949784 & 1.00279 \tabularnewline
27 & 2920 & 3032.88 & 3130.83 & 0.968713 & 0.962782 \tabularnewline
28 & 3100 & 3131.52 & 3194.17 & 0.980388 & 0.989934 \tabularnewline
29 & 3600 & 3483.46 & 3252.5 & 1.07101 & 1.03346 \tabularnewline
30 & 3640 & 3562.48 & 3312.5 & 1.07547 & 1.02176 \tabularnewline
31 & 3540 & 3523.81 & 3370 & 1.04564 & 1.00459 \tabularnewline
32 & 3300 & 3418.36 & 3430 & 0.996606 & 0.965376 \tabularnewline
33 & 3480 & 3514.34 & 3496.67 & 1.00505 & 0.990228 \tabularnewline
34 & 3480 & 3529.05 & 3560.83 & 0.991073 & 0.986102 \tabularnewline
35 & 3500 & 3458.61 & 3620.83 & 0.955198 & 1.01197 \tabularnewline
36 & 3600 & 3595.09 & 3682.5 & 0.976263 & 1.00137 \tabularnewline
37 & 3680 & 3695.48 & 3752.5 & 0.984805 & 0.995811 \tabularnewline
38 & 3720 & 3632.92 & 3825 & 0.949784 & 1.02397 \tabularnewline
39 & 3720 & 3772.33 & 3894.17 & 0.968713 & 0.986128 \tabularnewline
40 & 3840 & 3882.34 & 3960 & 0.980388 & 0.989095 \tabularnewline
41 & 4300 & 4302.78 & 4017.5 & 1.07101 & 0.999353 \tabularnewline
42 & 4420 & 4383.42 & 4075.83 & 1.07547 & 1.00835 \tabularnewline
43 & 4440 & 4328.95 & 4140 & 1.04564 & 1.02565 \tabularnewline
44 & 4140 & 4183.25 & 4197.5 & 0.996606 & 0.989661 \tabularnewline
45 & 4300 & 4271.48 & 4250 & 1.00505 & 1.00668 \tabularnewline
46 & 4240 & 4265.74 & 4304.17 & 0.991073 & 0.993965 \tabularnewline
47 & 4120 & 4166.25 & 4361.67 & 0.955198 & 0.988898 \tabularnewline
48 & 4380 & 4322.41 & 4427.5 & 0.976263 & 1.01332 \tabularnewline
49 & 4440 & 4429.98 & 4498.33 & 0.984805 & 1.00226 \tabularnewline
50 & 4340 & 4346.05 & 4575.83 & 0.949784 & 0.998608 \tabularnewline
51 & 4360 & 4515.82 & 4661.67 & 0.968713 & 0.965496 \tabularnewline
52 & 4500 & 4650.31 & 4743.33 & 0.980388 & 0.967678 \tabularnewline
53 & 5020 & 5163.16 & 4820.83 & 1.07101 & 0.972273 \tabularnewline
54 & 5280 & 5274.26 & 4904.17 & 1.07547 & 1.00109 \tabularnewline
55 & 5280 & 5220.36 & 4992.5 & 1.04564 & 1.01142 \tabularnewline
56 & 5160 & 5061.93 & 5079.17 & 0.996606 & 1.01937 \tabularnewline
57 & 5340 & 5204.51 & 5178.33 & 1.00505 & 1.02603 \tabularnewline
58 & 5160 & 5244.43 & 5291.67 & 0.991073 & 0.983901 \tabularnewline
59 & 5060 & 5158.86 & 5400.83 & 0.955198 & 0.980836 \tabularnewline
60 & 5440 & 5375.96 & 5506.67 & 0.976263 & 1.01191 \tabularnewline
61 & 5500 & 5526.4 & 5611.67 & 0.984805 & 0.995223 \tabularnewline
62 & 5360 & 5431.97 & 5719.17 & 0.949784 & 0.986751 \tabularnewline
63 & 5720 & 5647.59 & 5830 & 0.968713 & 1.01282 \tabularnewline
64 & 5860 & 5830.04 & 5946.67 & 0.980388 & 1.00514 \tabularnewline
65 & 6280 & 6494.78 & 6064.17 & 1.07101 & 0.96693 \tabularnewline
66 & 6560 & 6641 & 6175 & 1.07547 & 0.987803 \tabularnewline
67 & 6520 & 6574.47 & 6287.5 & 1.04564 & 0.991715 \tabularnewline
68 & 6500 & 6381.6 & 6403.33 & 0.996606 & 1.01855 \tabularnewline
69 & 6660 & 6558.82 & 6525.83 & 1.00505 & 1.01543 \tabularnewline
70 & 6640 & 6598.9 & 6658.33 & 0.991073 & 1.00623 \tabularnewline
71 & 6400 & 6496.14 & 6800.83 & 0.955198 & 0.985201 \tabularnewline
72 & 6760 & 6781.78 & 6946.67 & 0.976263 & 0.996789 \tabularnewline
73 & 6880 & 6981.45 & 7089.17 & 0.984805 & 0.985469 \tabularnewline
74 & 6760 & 6863.77 & 7226.67 & 0.949784 & 0.984882 \tabularnewline
75 & 7260 & 7127.3 & 7357.5 & 0.968713 & 1.01862 \tabularnewline
76 & 7500 & 7344.74 & 7491.67 & 0.980388 & 1.02114 \tabularnewline
77 & 8060 & 8166.45 & 7625 & 1.07101 & 0.986965 \tabularnewline
78 & 8280 & 8334.86 & 7750 & 1.07547 & 0.993418 \tabularnewline
79 & 8220 & 8236.17 & 7876.67 & 1.04564 & 0.998037 \tabularnewline
80 & 8100 & 7981.15 & 8008.33 & 0.996606 & 1.01489 \tabularnewline
81 & 8200 & 8183.66 & 8142.5 & 1.00505 & 1.002 \tabularnewline
82 & 8320 & 8201.13 & 8275 & 0.991073 & 1.01449 \tabularnewline
83 & 7920 & 8036.4 & 8413.33 & 0.955198 & 0.985516 \tabularnewline
84 & 8240 & 8353.56 & 8556.67 & 0.976263 & 0.986406 \tabularnewline
85 & 8440 & 8559.6 & 8691.67 & 0.984805 & 0.986028 \tabularnewline
86 & 8360 & 8387.38 & 8830.83 & 0.949784 & 0.996736 \tabularnewline
87 & 8880 & 8696.62 & 8977.5 & 0.968713 & 1.02109 \tabularnewline
88 & 9060 & 8941.14 & 9120 & 0.980388 & 1.01329 \tabularnewline
89 & 9820 & 9918.45 & 9260.83 & 1.07101 & 0.990074 \tabularnewline
90 & 9960 & 10113.9 & 9404.17 & 1.07547 & 0.984787 \tabularnewline
91 & 9780 & 9985 & 9549.17 & 1.04564 & 0.979469 \tabularnewline
92 & 9880 & 9656.28 & 9689.17 & 0.996606 & 1.02317 \tabularnewline
93 & 9940 & 9876.34 & 9826.67 & 1.00505 & 1.00645 \tabularnewline
94 & 10000 & 9877.7 & 9966.67 & 0.991073 & 1.01238 \tabularnewline
95 & 9620 & 9654.66 & 10107.5 & 0.955198 & 0.99641 \tabularnewline
96 & 9980 & 10005.1 & 10248.3 & 0.976263 & 0.997494 \tabularnewline
97 & 10180 & 10239.5 & 10397.5 & 0.984805 & 0.994188 \tabularnewline
98 & 9980 & 10029.7 & 10560 & 0.949784 & 0.995043 \tabularnewline
99 & 10560 & 10388.6 & 10724.2 & 0.968713 & 1.0165 \tabularnewline
100 & 10740 & 10673.2 & 10886.7 & 0.980388 & 1.00626 \tabularnewline
101 & 11520 & 11835.6 & 11050.8 & 1.07101 & 0.973338 \tabularnewline
102 & 11640 & 12054.2 & 11208.3 & 1.07547 & 0.96564 \tabularnewline
103 & 11680 & 11873.3 & 11355 & 1.04564 & 0.983724 \tabularnewline
104 & 11880 & 11458.5 & 11497.5 & 0.996606 & 1.03679 \tabularnewline
105 & 11880 & 11700.5 & 11641.7 & 1.00505 & 1.01534 \tabularnewline
106 & 11960 & 11680.6 & 11785.8 & 0.991073 & 1.02392 \tabularnewline
107 & 11600 & 11393.9 & 11928.3 & 0.955198 & 1.01809 \tabularnewline
108 & 11780 & 11785.9 & 12072.5 & 0.976263 & 0.999496 \tabularnewline
109 & 11900 & 12038.4 & 12224.2 & 0.984805 & 0.988502 \tabularnewline
110 & 11680 & 11759.9 & 12381.7 & 0.949784 & 0.993205 \tabularnewline
111 & 12320 & 12146.8 & 12539.2 & 0.968713 & 1.01425 \tabularnewline
112 & 12440 & 12446 & 12695 & 0.980388 & 0.999516 \tabularnewline
113 & 13240 & 13760.7 & 12848.3 & 1.07101 & 0.962161 \tabularnewline
114 & 13380 & 13990.9 & 13009.2 & 1.07547 & 0.956335 \tabularnewline
115 & 13580 & NA & NA & 1.04564 & NA \tabularnewline
116 & 13760 & NA & NA & 0.996606 & NA \tabularnewline
117 & 13780 & NA & NA & 1.00505 & NA \tabularnewline
118 & 13800 & NA & NA & 0.991073 & NA \tabularnewline
119 & 13440 & NA & NA & 0.955198 & NA \tabularnewline
120 & 13800 & NA & NA & 0.976263 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295798&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]2120[/C][C]NA[/C][C]NA[/C][C]0.984805[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2100[/C][C]NA[/C][C]NA[/C][C]0.949784[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2080[/C][C]NA[/C][C]NA[/C][C]0.968713[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2040[/C][C]NA[/C][C]NA[/C][C]0.980388[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2440[/C][C]NA[/C][C]NA[/C][C]1.07101[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2420[/C][C]NA[/C][C]NA[/C][C]1.07547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2120[/C][C]2185.39[/C][C]2090[/C][C]1.04564[/C][C]0.970079[/C][/ROW]
[ROW][C]8[/C][C]1920[/C][C]2082.08[/C][C]2089.17[/C][C]0.996606[/C][C]0.922157[/C][/ROW]
[ROW][C]9[/C][C]1940[/C][C]2101.4[/C][C]2090.83[/C][C]1.00505[/C][C]0.923193[/C][/ROW]
[ROW][C]10[/C][C]1940[/C][C]2082.91[/C][C]2101.67[/C][C]0.991073[/C][C]0.931391[/C][/ROW]
[ROW][C]11[/C][C]1960[/C][C]2029.79[/C][C]2125[/C][C]0.955198[/C][C]0.965615[/C][/ROW]
[ROW][C]12[/C][C]2000[/C][C]2104.66[/C][C]2155.83[/C][C]0.976263[/C][C]0.950272[/C][/ROW]
[ROW][C]13[/C][C]2120[/C][C]2161.65[/C][C]2195[/C][C]0.984805[/C][C]0.980734[/C][/ROW]
[ROW][C]14[/C][C]2080[/C][C]2132.26[/C][C]2245[/C][C]0.949784[/C][C]0.975489[/C][/ROW]
[ROW][C]15[/C][C]2140[/C][C]2229.65[/C][C]2301.67[/C][C]0.968713[/C][C]0.95979[/C][/ROW]
[ROW][C]16[/C][C]2240[/C][C]2320.25[/C][C]2366.67[/C][C]0.980388[/C][C]0.965413[/C][/ROW]
[ROW][C]17[/C][C]2800[/C][C]2609.69[/C][C]2436.67[/C][C]1.07101[/C][C]1.07292[/C][/ROW]
[ROW][C]18[/C][C]2800[/C][C]2696.73[/C][C]2507.5[/C][C]1.07547[/C][C]1.03829[/C][/ROW]
[ROW][C]19[/C][C]2680[/C][C]2699.5[/C][C]2581.67[/C][C]1.04564[/C][C]0.992778[/C][/ROW]
[ROW][C]20[/C][C]2560[/C][C]2645.99[/C][C]2655[/C][C]0.996606[/C][C]0.967503[/C][/ROW]
[ROW][C]21[/C][C]2660[/C][C]2736.26[/C][C]2722.5[/C][C]1.00505[/C][C]0.972129[/C][/ROW]
[ROW][C]22[/C][C]2780[/C][C]2765.92[/C][C]2790.83[/C][C]0.991073[/C][C]1.00509[/C][/ROW]
[ROW][C]23[/C][C]2800[/C][C]2731.86[/C][C]2860[/C][C]0.955198[/C][C]1.02494[/C][/ROW]
[ROW][C]24[/C][C]2860[/C][C]2858.82[/C][C]2928.33[/C][C]0.976263[/C][C]1.00041[/C][/ROW]
[ROW][C]25[/C][C]3040[/C][C]2953.59[/C][C]2999.17[/C][C]0.984805[/C][C]1.02925[/C][/ROW]
[ROW][C]26[/C][C]2920[/C][C]2911.88[/C][C]3065.83[/C][C]0.949784[/C][C]1.00279[/C][/ROW]
[ROW][C]27[/C][C]2920[/C][C]3032.88[/C][C]3130.83[/C][C]0.968713[/C][C]0.962782[/C][/ROW]
[ROW][C]28[/C][C]3100[/C][C]3131.52[/C][C]3194.17[/C][C]0.980388[/C][C]0.989934[/C][/ROW]
[ROW][C]29[/C][C]3600[/C][C]3483.46[/C][C]3252.5[/C][C]1.07101[/C][C]1.03346[/C][/ROW]
[ROW][C]30[/C][C]3640[/C][C]3562.48[/C][C]3312.5[/C][C]1.07547[/C][C]1.02176[/C][/ROW]
[ROW][C]31[/C][C]3540[/C][C]3523.81[/C][C]3370[/C][C]1.04564[/C][C]1.00459[/C][/ROW]
[ROW][C]32[/C][C]3300[/C][C]3418.36[/C][C]3430[/C][C]0.996606[/C][C]0.965376[/C][/ROW]
[ROW][C]33[/C][C]3480[/C][C]3514.34[/C][C]3496.67[/C][C]1.00505[/C][C]0.990228[/C][/ROW]
[ROW][C]34[/C][C]3480[/C][C]3529.05[/C][C]3560.83[/C][C]0.991073[/C][C]0.986102[/C][/ROW]
[ROW][C]35[/C][C]3500[/C][C]3458.61[/C][C]3620.83[/C][C]0.955198[/C][C]1.01197[/C][/ROW]
[ROW][C]36[/C][C]3600[/C][C]3595.09[/C][C]3682.5[/C][C]0.976263[/C][C]1.00137[/C][/ROW]
[ROW][C]37[/C][C]3680[/C][C]3695.48[/C][C]3752.5[/C][C]0.984805[/C][C]0.995811[/C][/ROW]
[ROW][C]38[/C][C]3720[/C][C]3632.92[/C][C]3825[/C][C]0.949784[/C][C]1.02397[/C][/ROW]
[ROW][C]39[/C][C]3720[/C][C]3772.33[/C][C]3894.17[/C][C]0.968713[/C][C]0.986128[/C][/ROW]
[ROW][C]40[/C][C]3840[/C][C]3882.34[/C][C]3960[/C][C]0.980388[/C][C]0.989095[/C][/ROW]
[ROW][C]41[/C][C]4300[/C][C]4302.78[/C][C]4017.5[/C][C]1.07101[/C][C]0.999353[/C][/ROW]
[ROW][C]42[/C][C]4420[/C][C]4383.42[/C][C]4075.83[/C][C]1.07547[/C][C]1.00835[/C][/ROW]
[ROW][C]43[/C][C]4440[/C][C]4328.95[/C][C]4140[/C][C]1.04564[/C][C]1.02565[/C][/ROW]
[ROW][C]44[/C][C]4140[/C][C]4183.25[/C][C]4197.5[/C][C]0.996606[/C][C]0.989661[/C][/ROW]
[ROW][C]45[/C][C]4300[/C][C]4271.48[/C][C]4250[/C][C]1.00505[/C][C]1.00668[/C][/ROW]
[ROW][C]46[/C][C]4240[/C][C]4265.74[/C][C]4304.17[/C][C]0.991073[/C][C]0.993965[/C][/ROW]
[ROW][C]47[/C][C]4120[/C][C]4166.25[/C][C]4361.67[/C][C]0.955198[/C][C]0.988898[/C][/ROW]
[ROW][C]48[/C][C]4380[/C][C]4322.41[/C][C]4427.5[/C][C]0.976263[/C][C]1.01332[/C][/ROW]
[ROW][C]49[/C][C]4440[/C][C]4429.98[/C][C]4498.33[/C][C]0.984805[/C][C]1.00226[/C][/ROW]
[ROW][C]50[/C][C]4340[/C][C]4346.05[/C][C]4575.83[/C][C]0.949784[/C][C]0.998608[/C][/ROW]
[ROW][C]51[/C][C]4360[/C][C]4515.82[/C][C]4661.67[/C][C]0.968713[/C][C]0.965496[/C][/ROW]
[ROW][C]52[/C][C]4500[/C][C]4650.31[/C][C]4743.33[/C][C]0.980388[/C][C]0.967678[/C][/ROW]
[ROW][C]53[/C][C]5020[/C][C]5163.16[/C][C]4820.83[/C][C]1.07101[/C][C]0.972273[/C][/ROW]
[ROW][C]54[/C][C]5280[/C][C]5274.26[/C][C]4904.17[/C][C]1.07547[/C][C]1.00109[/C][/ROW]
[ROW][C]55[/C][C]5280[/C][C]5220.36[/C][C]4992.5[/C][C]1.04564[/C][C]1.01142[/C][/ROW]
[ROW][C]56[/C][C]5160[/C][C]5061.93[/C][C]5079.17[/C][C]0.996606[/C][C]1.01937[/C][/ROW]
[ROW][C]57[/C][C]5340[/C][C]5204.51[/C][C]5178.33[/C][C]1.00505[/C][C]1.02603[/C][/ROW]
[ROW][C]58[/C][C]5160[/C][C]5244.43[/C][C]5291.67[/C][C]0.991073[/C][C]0.983901[/C][/ROW]
[ROW][C]59[/C][C]5060[/C][C]5158.86[/C][C]5400.83[/C][C]0.955198[/C][C]0.980836[/C][/ROW]
[ROW][C]60[/C][C]5440[/C][C]5375.96[/C][C]5506.67[/C][C]0.976263[/C][C]1.01191[/C][/ROW]
[ROW][C]61[/C][C]5500[/C][C]5526.4[/C][C]5611.67[/C][C]0.984805[/C][C]0.995223[/C][/ROW]
[ROW][C]62[/C][C]5360[/C][C]5431.97[/C][C]5719.17[/C][C]0.949784[/C][C]0.986751[/C][/ROW]
[ROW][C]63[/C][C]5720[/C][C]5647.59[/C][C]5830[/C][C]0.968713[/C][C]1.01282[/C][/ROW]
[ROW][C]64[/C][C]5860[/C][C]5830.04[/C][C]5946.67[/C][C]0.980388[/C][C]1.00514[/C][/ROW]
[ROW][C]65[/C][C]6280[/C][C]6494.78[/C][C]6064.17[/C][C]1.07101[/C][C]0.96693[/C][/ROW]
[ROW][C]66[/C][C]6560[/C][C]6641[/C][C]6175[/C][C]1.07547[/C][C]0.987803[/C][/ROW]
[ROW][C]67[/C][C]6520[/C][C]6574.47[/C][C]6287.5[/C][C]1.04564[/C][C]0.991715[/C][/ROW]
[ROW][C]68[/C][C]6500[/C][C]6381.6[/C][C]6403.33[/C][C]0.996606[/C][C]1.01855[/C][/ROW]
[ROW][C]69[/C][C]6660[/C][C]6558.82[/C][C]6525.83[/C][C]1.00505[/C][C]1.01543[/C][/ROW]
[ROW][C]70[/C][C]6640[/C][C]6598.9[/C][C]6658.33[/C][C]0.991073[/C][C]1.00623[/C][/ROW]
[ROW][C]71[/C][C]6400[/C][C]6496.14[/C][C]6800.83[/C][C]0.955198[/C][C]0.985201[/C][/ROW]
[ROW][C]72[/C][C]6760[/C][C]6781.78[/C][C]6946.67[/C][C]0.976263[/C][C]0.996789[/C][/ROW]
[ROW][C]73[/C][C]6880[/C][C]6981.45[/C][C]7089.17[/C][C]0.984805[/C][C]0.985469[/C][/ROW]
[ROW][C]74[/C][C]6760[/C][C]6863.77[/C][C]7226.67[/C][C]0.949784[/C][C]0.984882[/C][/ROW]
[ROW][C]75[/C][C]7260[/C][C]7127.3[/C][C]7357.5[/C][C]0.968713[/C][C]1.01862[/C][/ROW]
[ROW][C]76[/C][C]7500[/C][C]7344.74[/C][C]7491.67[/C][C]0.980388[/C][C]1.02114[/C][/ROW]
[ROW][C]77[/C][C]8060[/C][C]8166.45[/C][C]7625[/C][C]1.07101[/C][C]0.986965[/C][/ROW]
[ROW][C]78[/C][C]8280[/C][C]8334.86[/C][C]7750[/C][C]1.07547[/C][C]0.993418[/C][/ROW]
[ROW][C]79[/C][C]8220[/C][C]8236.17[/C][C]7876.67[/C][C]1.04564[/C][C]0.998037[/C][/ROW]
[ROW][C]80[/C][C]8100[/C][C]7981.15[/C][C]8008.33[/C][C]0.996606[/C][C]1.01489[/C][/ROW]
[ROW][C]81[/C][C]8200[/C][C]8183.66[/C][C]8142.5[/C][C]1.00505[/C][C]1.002[/C][/ROW]
[ROW][C]82[/C][C]8320[/C][C]8201.13[/C][C]8275[/C][C]0.991073[/C][C]1.01449[/C][/ROW]
[ROW][C]83[/C][C]7920[/C][C]8036.4[/C][C]8413.33[/C][C]0.955198[/C][C]0.985516[/C][/ROW]
[ROW][C]84[/C][C]8240[/C][C]8353.56[/C][C]8556.67[/C][C]0.976263[/C][C]0.986406[/C][/ROW]
[ROW][C]85[/C][C]8440[/C][C]8559.6[/C][C]8691.67[/C][C]0.984805[/C][C]0.986028[/C][/ROW]
[ROW][C]86[/C][C]8360[/C][C]8387.38[/C][C]8830.83[/C][C]0.949784[/C][C]0.996736[/C][/ROW]
[ROW][C]87[/C][C]8880[/C][C]8696.62[/C][C]8977.5[/C][C]0.968713[/C][C]1.02109[/C][/ROW]
[ROW][C]88[/C][C]9060[/C][C]8941.14[/C][C]9120[/C][C]0.980388[/C][C]1.01329[/C][/ROW]
[ROW][C]89[/C][C]9820[/C][C]9918.45[/C][C]9260.83[/C][C]1.07101[/C][C]0.990074[/C][/ROW]
[ROW][C]90[/C][C]9960[/C][C]10113.9[/C][C]9404.17[/C][C]1.07547[/C][C]0.984787[/C][/ROW]
[ROW][C]91[/C][C]9780[/C][C]9985[/C][C]9549.17[/C][C]1.04564[/C][C]0.979469[/C][/ROW]
[ROW][C]92[/C][C]9880[/C][C]9656.28[/C][C]9689.17[/C][C]0.996606[/C][C]1.02317[/C][/ROW]
[ROW][C]93[/C][C]9940[/C][C]9876.34[/C][C]9826.67[/C][C]1.00505[/C][C]1.00645[/C][/ROW]
[ROW][C]94[/C][C]10000[/C][C]9877.7[/C][C]9966.67[/C][C]0.991073[/C][C]1.01238[/C][/ROW]
[ROW][C]95[/C][C]9620[/C][C]9654.66[/C][C]10107.5[/C][C]0.955198[/C][C]0.99641[/C][/ROW]
[ROW][C]96[/C][C]9980[/C][C]10005.1[/C][C]10248.3[/C][C]0.976263[/C][C]0.997494[/C][/ROW]
[ROW][C]97[/C][C]10180[/C][C]10239.5[/C][C]10397.5[/C][C]0.984805[/C][C]0.994188[/C][/ROW]
[ROW][C]98[/C][C]9980[/C][C]10029.7[/C][C]10560[/C][C]0.949784[/C][C]0.995043[/C][/ROW]
[ROW][C]99[/C][C]10560[/C][C]10388.6[/C][C]10724.2[/C][C]0.968713[/C][C]1.0165[/C][/ROW]
[ROW][C]100[/C][C]10740[/C][C]10673.2[/C][C]10886.7[/C][C]0.980388[/C][C]1.00626[/C][/ROW]
[ROW][C]101[/C][C]11520[/C][C]11835.6[/C][C]11050.8[/C][C]1.07101[/C][C]0.973338[/C][/ROW]
[ROW][C]102[/C][C]11640[/C][C]12054.2[/C][C]11208.3[/C][C]1.07547[/C][C]0.96564[/C][/ROW]
[ROW][C]103[/C][C]11680[/C][C]11873.3[/C][C]11355[/C][C]1.04564[/C][C]0.983724[/C][/ROW]
[ROW][C]104[/C][C]11880[/C][C]11458.5[/C][C]11497.5[/C][C]0.996606[/C][C]1.03679[/C][/ROW]
[ROW][C]105[/C][C]11880[/C][C]11700.5[/C][C]11641.7[/C][C]1.00505[/C][C]1.01534[/C][/ROW]
[ROW][C]106[/C][C]11960[/C][C]11680.6[/C][C]11785.8[/C][C]0.991073[/C][C]1.02392[/C][/ROW]
[ROW][C]107[/C][C]11600[/C][C]11393.9[/C][C]11928.3[/C][C]0.955198[/C][C]1.01809[/C][/ROW]
[ROW][C]108[/C][C]11780[/C][C]11785.9[/C][C]12072.5[/C][C]0.976263[/C][C]0.999496[/C][/ROW]
[ROW][C]109[/C][C]11900[/C][C]12038.4[/C][C]12224.2[/C][C]0.984805[/C][C]0.988502[/C][/ROW]
[ROW][C]110[/C][C]11680[/C][C]11759.9[/C][C]12381.7[/C][C]0.949784[/C][C]0.993205[/C][/ROW]
[ROW][C]111[/C][C]12320[/C][C]12146.8[/C][C]12539.2[/C][C]0.968713[/C][C]1.01425[/C][/ROW]
[ROW][C]112[/C][C]12440[/C][C]12446[/C][C]12695[/C][C]0.980388[/C][C]0.999516[/C][/ROW]
[ROW][C]113[/C][C]13240[/C][C]13760.7[/C][C]12848.3[/C][C]1.07101[/C][C]0.962161[/C][/ROW]
[ROW][C]114[/C][C]13380[/C][C]13990.9[/C][C]13009.2[/C][C]1.07547[/C][C]0.956335[/C][/ROW]
[ROW][C]115[/C][C]13580[/C][C]NA[/C][C]NA[/C][C]1.04564[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]13760[/C][C]NA[/C][C]NA[/C][C]0.996606[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]13780[/C][C]NA[/C][C]NA[/C][C]1.00505[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]13800[/C][C]NA[/C][C]NA[/C][C]0.991073[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]13440[/C][C]NA[/C][C]NA[/C][C]0.955198[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]13800[/C][C]NA[/C][C]NA[/C][C]0.976263[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295798&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295798&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
12120NANA0.984805NA
22100NANA0.949784NA
32080NANA0.968713NA
42040NANA0.980388NA
52440NANA1.07101NA
62420NANA1.07547NA
721202185.3920901.045640.970079
819202082.082089.170.9966060.922157
919402101.42090.831.005050.923193
1019402082.912101.670.9910730.931391
1119602029.7921250.9551980.965615
1220002104.662155.830.9762630.950272
1321202161.6521950.9848050.980734
1420802132.2622450.9497840.975489
1521402229.652301.670.9687130.95979
1622402320.252366.670.9803880.965413
1728002609.692436.671.071011.07292
1828002696.732507.51.075471.03829
1926802699.52581.671.045640.992778
2025602645.9926550.9966060.967503
2126602736.262722.51.005050.972129
2227802765.922790.830.9910731.00509
2328002731.8628600.9551981.02494
2428602858.822928.330.9762631.00041
2530402953.592999.170.9848051.02925
2629202911.883065.830.9497841.00279
2729203032.883130.830.9687130.962782
2831003131.523194.170.9803880.989934
2936003483.463252.51.071011.03346
3036403562.483312.51.075471.02176
3135403523.8133701.045641.00459
3233003418.3634300.9966060.965376
3334803514.343496.671.005050.990228
3434803529.053560.830.9910730.986102
3535003458.613620.830.9551981.01197
3636003595.093682.50.9762631.00137
3736803695.483752.50.9848050.995811
3837203632.9238250.9497841.02397
3937203772.333894.170.9687130.986128
4038403882.3439600.9803880.989095
4143004302.784017.51.071010.999353
4244204383.424075.831.075471.00835
4344404328.9541401.045641.02565
4441404183.254197.50.9966060.989661
4543004271.4842501.005051.00668
4642404265.744304.170.9910730.993965
4741204166.254361.670.9551980.988898
4843804322.414427.50.9762631.01332
4944404429.984498.330.9848051.00226
5043404346.054575.830.9497840.998608
5143604515.824661.670.9687130.965496
5245004650.314743.330.9803880.967678
5350205163.164820.831.071010.972273
5452805274.264904.171.075471.00109
5552805220.364992.51.045641.01142
5651605061.935079.170.9966061.01937
5753405204.515178.331.005051.02603
5851605244.435291.670.9910730.983901
5950605158.865400.830.9551980.980836
6054405375.965506.670.9762631.01191
6155005526.45611.670.9848050.995223
6253605431.975719.170.9497840.986751
6357205647.5958300.9687131.01282
6458605830.045946.670.9803881.00514
6562806494.786064.171.071010.96693
666560664161751.075470.987803
6765206574.476287.51.045640.991715
6865006381.66403.330.9966061.01855
6966606558.826525.831.005051.01543
7066406598.96658.330.9910731.00623
7164006496.146800.830.9551980.985201
7267606781.786946.670.9762630.996789
7368806981.457089.170.9848050.985469
7467606863.777226.670.9497840.984882
7572607127.37357.50.9687131.01862
7675007344.747491.670.9803881.02114
7780608166.4576251.071010.986965
7882808334.8677501.075470.993418
7982208236.177876.671.045640.998037
8081007981.158008.330.9966061.01489
8182008183.668142.51.005051.002
8283208201.1382750.9910731.01449
8379208036.48413.330.9551980.985516
8482408353.568556.670.9762630.986406
8584408559.68691.670.9848050.986028
8683608387.388830.830.9497840.996736
8788808696.628977.50.9687131.02109
8890608941.1491200.9803881.01329
8998209918.459260.831.071010.990074
90996010113.99404.171.075470.984787
91978099859549.171.045640.979469
9298809656.289689.170.9966061.02317
9399409876.349826.671.005051.00645
94100009877.79966.670.9910731.01238
9596209654.6610107.50.9551980.99641
96998010005.110248.30.9762630.997494
971018010239.510397.50.9848050.994188
98998010029.7105600.9497840.995043
991056010388.610724.20.9687131.0165
1001074010673.210886.70.9803881.00626
1011152011835.611050.81.071010.973338
1021164012054.211208.31.075470.96564
1031168011873.3113551.045640.983724
1041188011458.511497.50.9966061.03679
1051188011700.511641.71.005051.01534
1061196011680.611785.80.9910731.02392
1071160011393.911928.30.9551981.01809
1081178011785.912072.50.9762630.999496
1091190012038.412224.20.9848050.988502
1101168011759.912381.70.9497840.993205
1111232012146.812539.20.9687131.01425
1121244012446126950.9803880.999516
1131324013760.712848.31.071010.962161
1141338013990.913009.21.075470.956335
11513580NANA1.04564NA
11613760NANA0.996606NA
11713780NANA1.00505NA
11813800NANA0.991073NA
11913440NANA0.955198NA
12013800NANA0.976263NA



Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = multiplicative ; 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')