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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, 19 Dec 2016 21:06:46 +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/19/t1482178076xy5ai562wsf21g7.htm/, Retrieved Fri, 17 May 2024 19:26:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301478, Retrieved Fri, 17 May 2024 19:26:51 +0000
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IsPrivate?No (this computation is public)
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Estimated Impact63
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-       [Classical Decomposition] [classical decompo...] [2016-12-19 20:06:46] [1e2c9196efc58119c3757b6c78ac7c5f] [Current]
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Dataseries X:
3647
1885
4791
3178
2849
4716
3085
2799
3573
2721
3355
5667
2856
1944
4188
2949
3567
4137
3494
2489
3244
2669
2529
3377
3366
2073
4133
4213
3710
5123
3141
3084
3804
3203
2757
2243
5229
2857
3395
4882
7140
8945
6866
4205
3217
3079
2263
4187
2665
2073
3540
3686
2384
4500
1679
868
1869
3710
6904
3415
938
3359
3551
2278
3033
2280
2901
4812
4882
7896
5048
3741
4418
3471
5055
7595
8124
2333
3008
2744
2833
2428
4269
3207
5170
7767
4544
3741
2193
3432
5282
6635
4222
7317
4132
5048
4383
3761
4081
6491
5859
7139
7682
8649
6146
7137
9948
15819
8370
13222
16711
19059
8303
20781
9638
13444
6072
13442
14457
17705
16463
19194
20688
14739
12702
15760




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301478&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301478&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13647NANA-771.372NA
21885NANA308.453NA
347913394.583275.5119.0761396.42
431783873.473529.62343.843-695.468
528492898.883670.25-771.372-49.878
647163718.083409.62308.453997.922
730853571.833452.75119.076-486.826
827993637.723293.88343.843-838.718
935732306.883078.25-771.3721266.12
1027213778.953470.5308.453-1057.95
1133553858.453739.38119.076-503.451
1256673896.473552.62343.8431770.53
1328562788.253559.62-771.37267.747
1419443632.453324308.453-1688.45
1541883192.23073.12119.076995.799
1629493779.973436.12343.843-830.968
1735672852.133623.5-771.372714.872
1841373787.73479.25308.453349.297
1934943500.453381.38119.076-6.45148
2024893501.343157.5343.843-1012.34
21324420822853.38-771.3721162
2226693152.22843.75308.453-483.203
2325293089.082970119.076-560.076
2433773254.592910.75343.843122.407
2533662265.383036.75-771.3721100.62
2620733650.23341.75308.453-1577.2
2741333608.333489.25119.076524.674
2842134257.343913.5343.843-44.3426
2937103399.384170.75-771.372310.622
3051234214.083905.62308.453908.922
3131413895.333776.25119.076-754.326
3230843891.843548343.843-807.843
3338042488.633260-771.3721315.37
3432033415.333106.88308.453-212.328
3527573298.953179.88119.076-541.951
3622433658.593314.75343.843-1415.59
3752292579.883351.25-771.3722649.12
3828574069.333760.88308.453-1212.33
3933954448.74329.62119.076-1053.7
4048825673.345329.5343.843-791.343
41714057536524.38-771.3721387
4289457182.086873.62308.4531762.92
4368666417.76298.62119.076448.299
4442055418.845075343.843-1213.84
45321729953766.38-771.372221.997
4630793497.23188.75308.453-418.203
4722633236.583117.5119.076-973.576
4841873266.592922.75343.843920.407
4926652185.252956.62-771.372479.747
5020733362.083053.62308.453-1289.08
5135403074.952955.88119.076465.049
5236863567.973224.12343.843118.032
5323842523.53294.88-771.372-139.503
5445003018.452710308.4531481.55
5516792412.452293.38119.076-733.451
568682474.092130.25343.843-1606.09
5718691913.252684.62-771.372-44.253
5837103964.583656.12308.453-254.578
5969043977.23858.12119.0762926.8
6034154041.723697.88343.843-626.718
619382463.53234.88-771.372-1525.5
6233592982.082673.62308.453376.922
6335512912.452793.38119.076638.549
6422783264.222920.38343.843-986.218
6530331932.882704.25-771.3721100.12
6622803248.22939.75308.453-968.203
6729013606.73487.62119.076-705.701
6848124764.594420.75343.84347.4074
6948824619.755391.12-771.372262.247
7078965834.085525.62308.4532061.92
7150485452.835333.75119.076-404.826
7237415066.474722.62343.843-1325.47
73441833994170.38-771.3721019
7434714961.454653308.453-1490.45
7550555717.085598119.076-662.076
7675956262.845919343.8431332.16
7781244749.55520.88-771.3723374.5
7823334967.084658.62308.453-2634.08
7930083509.953390.88119.076-501.951
8027443085.222741.38343.843-341.218
8128332139.52910.88-771.372693.497
8224283434.833126.38308.453-1006.83
8342693595.453476.38119.076673.549
8432074779.724435.88343.843-1572.72
8551704366.255137.62-771.372803.747
8677675547.25238.75308.4532219.8
8745445052.454933.38119.076-508.451
8837414363.224019.38343.843-622.218
8921932798.383569.75-771.372-605.378
9034324332.24023.75308.453-900.203
9152824758.24639.12119.076523.799
9266355722.225378.38343.843912.782
9342224948.885720.25-771.372-726.878
9473175686.585378.12308.4531630.42
9541325318.955199.88119.076-1186.95
9650485119.344775.5343.843-71.3426
9743833553.254324.62-771.372829.747
9837614807.084498.62308.453-1046.08
9940814982.584863.5119.076-901.576
10064915814.095470.25343.843676.907
10158595571.256342.62-771.372287.747
10271397370.957062.5308.453-231.953
10376827487.27368.12119.076194.799
10486497747.597403.75343.843901.407
10561466915.387686.75-771.372-769.378
10671379174.78866.25308.453-2037.7
107994810159.610040.5119.076-211.576
108158191142311079.1343.8434396.03
109837011913.812685.1-771.372-3543.75
110132221424413935.5308.453-1021.95
1111671114451.214332.1119.0762259.8
1121905915612.515268.6343.8433446.53
11383031455815329.4-771.372-6255
1142078114051.813743.4308.4536729.17
115963812881.712762.6119.076-3243.7
1161344411910.211566.4343.8431533.78
11760721048011251.4-771.372-4408
1181344212694.812386.4308.453747.172
119144571433714217.9119.076120.049
1201770516579.616235.8343.8431125.41
1211646316962.317733.6-771.372-499.253
1221919418450.218141.8308.453743.797
123206881742017300.9119.0763268.05
1241473916745.316401.5343.843-2006.34
12512702NANA-771.372NA
12615760NANA308.453NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3647 & NA & NA & -771.372 & NA \tabularnewline
2 & 1885 & NA & NA & 308.453 & NA \tabularnewline
3 & 4791 & 3394.58 & 3275.5 & 119.076 & 1396.42 \tabularnewline
4 & 3178 & 3873.47 & 3529.62 & 343.843 & -695.468 \tabularnewline
5 & 2849 & 2898.88 & 3670.25 & -771.372 & -49.878 \tabularnewline
6 & 4716 & 3718.08 & 3409.62 & 308.453 & 997.922 \tabularnewline
7 & 3085 & 3571.83 & 3452.75 & 119.076 & -486.826 \tabularnewline
8 & 2799 & 3637.72 & 3293.88 & 343.843 & -838.718 \tabularnewline
9 & 3573 & 2306.88 & 3078.25 & -771.372 & 1266.12 \tabularnewline
10 & 2721 & 3778.95 & 3470.5 & 308.453 & -1057.95 \tabularnewline
11 & 3355 & 3858.45 & 3739.38 & 119.076 & -503.451 \tabularnewline
12 & 5667 & 3896.47 & 3552.62 & 343.843 & 1770.53 \tabularnewline
13 & 2856 & 2788.25 & 3559.62 & -771.372 & 67.747 \tabularnewline
14 & 1944 & 3632.45 & 3324 & 308.453 & -1688.45 \tabularnewline
15 & 4188 & 3192.2 & 3073.12 & 119.076 & 995.799 \tabularnewline
16 & 2949 & 3779.97 & 3436.12 & 343.843 & -830.968 \tabularnewline
17 & 3567 & 2852.13 & 3623.5 & -771.372 & 714.872 \tabularnewline
18 & 4137 & 3787.7 & 3479.25 & 308.453 & 349.297 \tabularnewline
19 & 3494 & 3500.45 & 3381.38 & 119.076 & -6.45148 \tabularnewline
20 & 2489 & 3501.34 & 3157.5 & 343.843 & -1012.34 \tabularnewline
21 & 3244 & 2082 & 2853.38 & -771.372 & 1162 \tabularnewline
22 & 2669 & 3152.2 & 2843.75 & 308.453 & -483.203 \tabularnewline
23 & 2529 & 3089.08 & 2970 & 119.076 & -560.076 \tabularnewline
24 & 3377 & 3254.59 & 2910.75 & 343.843 & 122.407 \tabularnewline
25 & 3366 & 2265.38 & 3036.75 & -771.372 & 1100.62 \tabularnewline
26 & 2073 & 3650.2 & 3341.75 & 308.453 & -1577.2 \tabularnewline
27 & 4133 & 3608.33 & 3489.25 & 119.076 & 524.674 \tabularnewline
28 & 4213 & 4257.34 & 3913.5 & 343.843 & -44.3426 \tabularnewline
29 & 3710 & 3399.38 & 4170.75 & -771.372 & 310.622 \tabularnewline
30 & 5123 & 4214.08 & 3905.62 & 308.453 & 908.922 \tabularnewline
31 & 3141 & 3895.33 & 3776.25 & 119.076 & -754.326 \tabularnewline
32 & 3084 & 3891.84 & 3548 & 343.843 & -807.843 \tabularnewline
33 & 3804 & 2488.63 & 3260 & -771.372 & 1315.37 \tabularnewline
34 & 3203 & 3415.33 & 3106.88 & 308.453 & -212.328 \tabularnewline
35 & 2757 & 3298.95 & 3179.88 & 119.076 & -541.951 \tabularnewline
36 & 2243 & 3658.59 & 3314.75 & 343.843 & -1415.59 \tabularnewline
37 & 5229 & 2579.88 & 3351.25 & -771.372 & 2649.12 \tabularnewline
38 & 2857 & 4069.33 & 3760.88 & 308.453 & -1212.33 \tabularnewline
39 & 3395 & 4448.7 & 4329.62 & 119.076 & -1053.7 \tabularnewline
40 & 4882 & 5673.34 & 5329.5 & 343.843 & -791.343 \tabularnewline
41 & 7140 & 5753 & 6524.38 & -771.372 & 1387 \tabularnewline
42 & 8945 & 7182.08 & 6873.62 & 308.453 & 1762.92 \tabularnewline
43 & 6866 & 6417.7 & 6298.62 & 119.076 & 448.299 \tabularnewline
44 & 4205 & 5418.84 & 5075 & 343.843 & -1213.84 \tabularnewline
45 & 3217 & 2995 & 3766.38 & -771.372 & 221.997 \tabularnewline
46 & 3079 & 3497.2 & 3188.75 & 308.453 & -418.203 \tabularnewline
47 & 2263 & 3236.58 & 3117.5 & 119.076 & -973.576 \tabularnewline
48 & 4187 & 3266.59 & 2922.75 & 343.843 & 920.407 \tabularnewline
49 & 2665 & 2185.25 & 2956.62 & -771.372 & 479.747 \tabularnewline
50 & 2073 & 3362.08 & 3053.62 & 308.453 & -1289.08 \tabularnewline
51 & 3540 & 3074.95 & 2955.88 & 119.076 & 465.049 \tabularnewline
52 & 3686 & 3567.97 & 3224.12 & 343.843 & 118.032 \tabularnewline
53 & 2384 & 2523.5 & 3294.88 & -771.372 & -139.503 \tabularnewline
54 & 4500 & 3018.45 & 2710 & 308.453 & 1481.55 \tabularnewline
55 & 1679 & 2412.45 & 2293.38 & 119.076 & -733.451 \tabularnewline
56 & 868 & 2474.09 & 2130.25 & 343.843 & -1606.09 \tabularnewline
57 & 1869 & 1913.25 & 2684.62 & -771.372 & -44.253 \tabularnewline
58 & 3710 & 3964.58 & 3656.12 & 308.453 & -254.578 \tabularnewline
59 & 6904 & 3977.2 & 3858.12 & 119.076 & 2926.8 \tabularnewline
60 & 3415 & 4041.72 & 3697.88 & 343.843 & -626.718 \tabularnewline
61 & 938 & 2463.5 & 3234.88 & -771.372 & -1525.5 \tabularnewline
62 & 3359 & 2982.08 & 2673.62 & 308.453 & 376.922 \tabularnewline
63 & 3551 & 2912.45 & 2793.38 & 119.076 & 638.549 \tabularnewline
64 & 2278 & 3264.22 & 2920.38 & 343.843 & -986.218 \tabularnewline
65 & 3033 & 1932.88 & 2704.25 & -771.372 & 1100.12 \tabularnewline
66 & 2280 & 3248.2 & 2939.75 & 308.453 & -968.203 \tabularnewline
67 & 2901 & 3606.7 & 3487.62 & 119.076 & -705.701 \tabularnewline
68 & 4812 & 4764.59 & 4420.75 & 343.843 & 47.4074 \tabularnewline
69 & 4882 & 4619.75 & 5391.12 & -771.372 & 262.247 \tabularnewline
70 & 7896 & 5834.08 & 5525.62 & 308.453 & 2061.92 \tabularnewline
71 & 5048 & 5452.83 & 5333.75 & 119.076 & -404.826 \tabularnewline
72 & 3741 & 5066.47 & 4722.62 & 343.843 & -1325.47 \tabularnewline
73 & 4418 & 3399 & 4170.38 & -771.372 & 1019 \tabularnewline
74 & 3471 & 4961.45 & 4653 & 308.453 & -1490.45 \tabularnewline
75 & 5055 & 5717.08 & 5598 & 119.076 & -662.076 \tabularnewline
76 & 7595 & 6262.84 & 5919 & 343.843 & 1332.16 \tabularnewline
77 & 8124 & 4749.5 & 5520.88 & -771.372 & 3374.5 \tabularnewline
78 & 2333 & 4967.08 & 4658.62 & 308.453 & -2634.08 \tabularnewline
79 & 3008 & 3509.95 & 3390.88 & 119.076 & -501.951 \tabularnewline
80 & 2744 & 3085.22 & 2741.38 & 343.843 & -341.218 \tabularnewline
81 & 2833 & 2139.5 & 2910.88 & -771.372 & 693.497 \tabularnewline
82 & 2428 & 3434.83 & 3126.38 & 308.453 & -1006.83 \tabularnewline
83 & 4269 & 3595.45 & 3476.38 & 119.076 & 673.549 \tabularnewline
84 & 3207 & 4779.72 & 4435.88 & 343.843 & -1572.72 \tabularnewline
85 & 5170 & 4366.25 & 5137.62 & -771.372 & 803.747 \tabularnewline
86 & 7767 & 5547.2 & 5238.75 & 308.453 & 2219.8 \tabularnewline
87 & 4544 & 5052.45 & 4933.38 & 119.076 & -508.451 \tabularnewline
88 & 3741 & 4363.22 & 4019.38 & 343.843 & -622.218 \tabularnewline
89 & 2193 & 2798.38 & 3569.75 & -771.372 & -605.378 \tabularnewline
90 & 3432 & 4332.2 & 4023.75 & 308.453 & -900.203 \tabularnewline
91 & 5282 & 4758.2 & 4639.12 & 119.076 & 523.799 \tabularnewline
92 & 6635 & 5722.22 & 5378.38 & 343.843 & 912.782 \tabularnewline
93 & 4222 & 4948.88 & 5720.25 & -771.372 & -726.878 \tabularnewline
94 & 7317 & 5686.58 & 5378.12 & 308.453 & 1630.42 \tabularnewline
95 & 4132 & 5318.95 & 5199.88 & 119.076 & -1186.95 \tabularnewline
96 & 5048 & 5119.34 & 4775.5 & 343.843 & -71.3426 \tabularnewline
97 & 4383 & 3553.25 & 4324.62 & -771.372 & 829.747 \tabularnewline
98 & 3761 & 4807.08 & 4498.62 & 308.453 & -1046.08 \tabularnewline
99 & 4081 & 4982.58 & 4863.5 & 119.076 & -901.576 \tabularnewline
100 & 6491 & 5814.09 & 5470.25 & 343.843 & 676.907 \tabularnewline
101 & 5859 & 5571.25 & 6342.62 & -771.372 & 287.747 \tabularnewline
102 & 7139 & 7370.95 & 7062.5 & 308.453 & -231.953 \tabularnewline
103 & 7682 & 7487.2 & 7368.12 & 119.076 & 194.799 \tabularnewline
104 & 8649 & 7747.59 & 7403.75 & 343.843 & 901.407 \tabularnewline
105 & 6146 & 6915.38 & 7686.75 & -771.372 & -769.378 \tabularnewline
106 & 7137 & 9174.7 & 8866.25 & 308.453 & -2037.7 \tabularnewline
107 & 9948 & 10159.6 & 10040.5 & 119.076 & -211.576 \tabularnewline
108 & 15819 & 11423 & 11079.1 & 343.843 & 4396.03 \tabularnewline
109 & 8370 & 11913.8 & 12685.1 & -771.372 & -3543.75 \tabularnewline
110 & 13222 & 14244 & 13935.5 & 308.453 & -1021.95 \tabularnewline
111 & 16711 & 14451.2 & 14332.1 & 119.076 & 2259.8 \tabularnewline
112 & 19059 & 15612.5 & 15268.6 & 343.843 & 3446.53 \tabularnewline
113 & 8303 & 14558 & 15329.4 & -771.372 & -6255 \tabularnewline
114 & 20781 & 14051.8 & 13743.4 & 308.453 & 6729.17 \tabularnewline
115 & 9638 & 12881.7 & 12762.6 & 119.076 & -3243.7 \tabularnewline
116 & 13444 & 11910.2 & 11566.4 & 343.843 & 1533.78 \tabularnewline
117 & 6072 & 10480 & 11251.4 & -771.372 & -4408 \tabularnewline
118 & 13442 & 12694.8 & 12386.4 & 308.453 & 747.172 \tabularnewline
119 & 14457 & 14337 & 14217.9 & 119.076 & 120.049 \tabularnewline
120 & 17705 & 16579.6 & 16235.8 & 343.843 & 1125.41 \tabularnewline
121 & 16463 & 16962.3 & 17733.6 & -771.372 & -499.253 \tabularnewline
122 & 19194 & 18450.2 & 18141.8 & 308.453 & 743.797 \tabularnewline
123 & 20688 & 17420 & 17300.9 & 119.076 & 3268.05 \tabularnewline
124 & 14739 & 16745.3 & 16401.5 & 343.843 & -2006.34 \tabularnewline
125 & 12702 & NA & NA & -771.372 & NA \tabularnewline
126 & 15760 & NA & NA & 308.453 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301478&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]3647[/C][C]NA[/C][C]NA[/C][C]-771.372[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1885[/C][C]NA[/C][C]NA[/C][C]308.453[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4791[/C][C]3394.58[/C][C]3275.5[/C][C]119.076[/C][C]1396.42[/C][/ROW]
[ROW][C]4[/C][C]3178[/C][C]3873.47[/C][C]3529.62[/C][C]343.843[/C][C]-695.468[/C][/ROW]
[ROW][C]5[/C][C]2849[/C][C]2898.88[/C][C]3670.25[/C][C]-771.372[/C][C]-49.878[/C][/ROW]
[ROW][C]6[/C][C]4716[/C][C]3718.08[/C][C]3409.62[/C][C]308.453[/C][C]997.922[/C][/ROW]
[ROW][C]7[/C][C]3085[/C][C]3571.83[/C][C]3452.75[/C][C]119.076[/C][C]-486.826[/C][/ROW]
[ROW][C]8[/C][C]2799[/C][C]3637.72[/C][C]3293.88[/C][C]343.843[/C][C]-838.718[/C][/ROW]
[ROW][C]9[/C][C]3573[/C][C]2306.88[/C][C]3078.25[/C][C]-771.372[/C][C]1266.12[/C][/ROW]
[ROW][C]10[/C][C]2721[/C][C]3778.95[/C][C]3470.5[/C][C]308.453[/C][C]-1057.95[/C][/ROW]
[ROW][C]11[/C][C]3355[/C][C]3858.45[/C][C]3739.38[/C][C]119.076[/C][C]-503.451[/C][/ROW]
[ROW][C]12[/C][C]5667[/C][C]3896.47[/C][C]3552.62[/C][C]343.843[/C][C]1770.53[/C][/ROW]
[ROW][C]13[/C][C]2856[/C][C]2788.25[/C][C]3559.62[/C][C]-771.372[/C][C]67.747[/C][/ROW]
[ROW][C]14[/C][C]1944[/C][C]3632.45[/C][C]3324[/C][C]308.453[/C][C]-1688.45[/C][/ROW]
[ROW][C]15[/C][C]4188[/C][C]3192.2[/C][C]3073.12[/C][C]119.076[/C][C]995.799[/C][/ROW]
[ROW][C]16[/C][C]2949[/C][C]3779.97[/C][C]3436.12[/C][C]343.843[/C][C]-830.968[/C][/ROW]
[ROW][C]17[/C][C]3567[/C][C]2852.13[/C][C]3623.5[/C][C]-771.372[/C][C]714.872[/C][/ROW]
[ROW][C]18[/C][C]4137[/C][C]3787.7[/C][C]3479.25[/C][C]308.453[/C][C]349.297[/C][/ROW]
[ROW][C]19[/C][C]3494[/C][C]3500.45[/C][C]3381.38[/C][C]119.076[/C][C]-6.45148[/C][/ROW]
[ROW][C]20[/C][C]2489[/C][C]3501.34[/C][C]3157.5[/C][C]343.843[/C][C]-1012.34[/C][/ROW]
[ROW][C]21[/C][C]3244[/C][C]2082[/C][C]2853.38[/C][C]-771.372[/C][C]1162[/C][/ROW]
[ROW][C]22[/C][C]2669[/C][C]3152.2[/C][C]2843.75[/C][C]308.453[/C][C]-483.203[/C][/ROW]
[ROW][C]23[/C][C]2529[/C][C]3089.08[/C][C]2970[/C][C]119.076[/C][C]-560.076[/C][/ROW]
[ROW][C]24[/C][C]3377[/C][C]3254.59[/C][C]2910.75[/C][C]343.843[/C][C]122.407[/C][/ROW]
[ROW][C]25[/C][C]3366[/C][C]2265.38[/C][C]3036.75[/C][C]-771.372[/C][C]1100.62[/C][/ROW]
[ROW][C]26[/C][C]2073[/C][C]3650.2[/C][C]3341.75[/C][C]308.453[/C][C]-1577.2[/C][/ROW]
[ROW][C]27[/C][C]4133[/C][C]3608.33[/C][C]3489.25[/C][C]119.076[/C][C]524.674[/C][/ROW]
[ROW][C]28[/C][C]4213[/C][C]4257.34[/C][C]3913.5[/C][C]343.843[/C][C]-44.3426[/C][/ROW]
[ROW][C]29[/C][C]3710[/C][C]3399.38[/C][C]4170.75[/C][C]-771.372[/C][C]310.622[/C][/ROW]
[ROW][C]30[/C][C]5123[/C][C]4214.08[/C][C]3905.62[/C][C]308.453[/C][C]908.922[/C][/ROW]
[ROW][C]31[/C][C]3141[/C][C]3895.33[/C][C]3776.25[/C][C]119.076[/C][C]-754.326[/C][/ROW]
[ROW][C]32[/C][C]3084[/C][C]3891.84[/C][C]3548[/C][C]343.843[/C][C]-807.843[/C][/ROW]
[ROW][C]33[/C][C]3804[/C][C]2488.63[/C][C]3260[/C][C]-771.372[/C][C]1315.37[/C][/ROW]
[ROW][C]34[/C][C]3203[/C][C]3415.33[/C][C]3106.88[/C][C]308.453[/C][C]-212.328[/C][/ROW]
[ROW][C]35[/C][C]2757[/C][C]3298.95[/C][C]3179.88[/C][C]119.076[/C][C]-541.951[/C][/ROW]
[ROW][C]36[/C][C]2243[/C][C]3658.59[/C][C]3314.75[/C][C]343.843[/C][C]-1415.59[/C][/ROW]
[ROW][C]37[/C][C]5229[/C][C]2579.88[/C][C]3351.25[/C][C]-771.372[/C][C]2649.12[/C][/ROW]
[ROW][C]38[/C][C]2857[/C][C]4069.33[/C][C]3760.88[/C][C]308.453[/C][C]-1212.33[/C][/ROW]
[ROW][C]39[/C][C]3395[/C][C]4448.7[/C][C]4329.62[/C][C]119.076[/C][C]-1053.7[/C][/ROW]
[ROW][C]40[/C][C]4882[/C][C]5673.34[/C][C]5329.5[/C][C]343.843[/C][C]-791.343[/C][/ROW]
[ROW][C]41[/C][C]7140[/C][C]5753[/C][C]6524.38[/C][C]-771.372[/C][C]1387[/C][/ROW]
[ROW][C]42[/C][C]8945[/C][C]7182.08[/C][C]6873.62[/C][C]308.453[/C][C]1762.92[/C][/ROW]
[ROW][C]43[/C][C]6866[/C][C]6417.7[/C][C]6298.62[/C][C]119.076[/C][C]448.299[/C][/ROW]
[ROW][C]44[/C][C]4205[/C][C]5418.84[/C][C]5075[/C][C]343.843[/C][C]-1213.84[/C][/ROW]
[ROW][C]45[/C][C]3217[/C][C]2995[/C][C]3766.38[/C][C]-771.372[/C][C]221.997[/C][/ROW]
[ROW][C]46[/C][C]3079[/C][C]3497.2[/C][C]3188.75[/C][C]308.453[/C][C]-418.203[/C][/ROW]
[ROW][C]47[/C][C]2263[/C][C]3236.58[/C][C]3117.5[/C][C]119.076[/C][C]-973.576[/C][/ROW]
[ROW][C]48[/C][C]4187[/C][C]3266.59[/C][C]2922.75[/C][C]343.843[/C][C]920.407[/C][/ROW]
[ROW][C]49[/C][C]2665[/C][C]2185.25[/C][C]2956.62[/C][C]-771.372[/C][C]479.747[/C][/ROW]
[ROW][C]50[/C][C]2073[/C][C]3362.08[/C][C]3053.62[/C][C]308.453[/C][C]-1289.08[/C][/ROW]
[ROW][C]51[/C][C]3540[/C][C]3074.95[/C][C]2955.88[/C][C]119.076[/C][C]465.049[/C][/ROW]
[ROW][C]52[/C][C]3686[/C][C]3567.97[/C][C]3224.12[/C][C]343.843[/C][C]118.032[/C][/ROW]
[ROW][C]53[/C][C]2384[/C][C]2523.5[/C][C]3294.88[/C][C]-771.372[/C][C]-139.503[/C][/ROW]
[ROW][C]54[/C][C]4500[/C][C]3018.45[/C][C]2710[/C][C]308.453[/C][C]1481.55[/C][/ROW]
[ROW][C]55[/C][C]1679[/C][C]2412.45[/C][C]2293.38[/C][C]119.076[/C][C]-733.451[/C][/ROW]
[ROW][C]56[/C][C]868[/C][C]2474.09[/C][C]2130.25[/C][C]343.843[/C][C]-1606.09[/C][/ROW]
[ROW][C]57[/C][C]1869[/C][C]1913.25[/C][C]2684.62[/C][C]-771.372[/C][C]-44.253[/C][/ROW]
[ROW][C]58[/C][C]3710[/C][C]3964.58[/C][C]3656.12[/C][C]308.453[/C][C]-254.578[/C][/ROW]
[ROW][C]59[/C][C]6904[/C][C]3977.2[/C][C]3858.12[/C][C]119.076[/C][C]2926.8[/C][/ROW]
[ROW][C]60[/C][C]3415[/C][C]4041.72[/C][C]3697.88[/C][C]343.843[/C][C]-626.718[/C][/ROW]
[ROW][C]61[/C][C]938[/C][C]2463.5[/C][C]3234.88[/C][C]-771.372[/C][C]-1525.5[/C][/ROW]
[ROW][C]62[/C][C]3359[/C][C]2982.08[/C][C]2673.62[/C][C]308.453[/C][C]376.922[/C][/ROW]
[ROW][C]63[/C][C]3551[/C][C]2912.45[/C][C]2793.38[/C][C]119.076[/C][C]638.549[/C][/ROW]
[ROW][C]64[/C][C]2278[/C][C]3264.22[/C][C]2920.38[/C][C]343.843[/C][C]-986.218[/C][/ROW]
[ROW][C]65[/C][C]3033[/C][C]1932.88[/C][C]2704.25[/C][C]-771.372[/C][C]1100.12[/C][/ROW]
[ROW][C]66[/C][C]2280[/C][C]3248.2[/C][C]2939.75[/C][C]308.453[/C][C]-968.203[/C][/ROW]
[ROW][C]67[/C][C]2901[/C][C]3606.7[/C][C]3487.62[/C][C]119.076[/C][C]-705.701[/C][/ROW]
[ROW][C]68[/C][C]4812[/C][C]4764.59[/C][C]4420.75[/C][C]343.843[/C][C]47.4074[/C][/ROW]
[ROW][C]69[/C][C]4882[/C][C]4619.75[/C][C]5391.12[/C][C]-771.372[/C][C]262.247[/C][/ROW]
[ROW][C]70[/C][C]7896[/C][C]5834.08[/C][C]5525.62[/C][C]308.453[/C][C]2061.92[/C][/ROW]
[ROW][C]71[/C][C]5048[/C][C]5452.83[/C][C]5333.75[/C][C]119.076[/C][C]-404.826[/C][/ROW]
[ROW][C]72[/C][C]3741[/C][C]5066.47[/C][C]4722.62[/C][C]343.843[/C][C]-1325.47[/C][/ROW]
[ROW][C]73[/C][C]4418[/C][C]3399[/C][C]4170.38[/C][C]-771.372[/C][C]1019[/C][/ROW]
[ROW][C]74[/C][C]3471[/C][C]4961.45[/C][C]4653[/C][C]308.453[/C][C]-1490.45[/C][/ROW]
[ROW][C]75[/C][C]5055[/C][C]5717.08[/C][C]5598[/C][C]119.076[/C][C]-662.076[/C][/ROW]
[ROW][C]76[/C][C]7595[/C][C]6262.84[/C][C]5919[/C][C]343.843[/C][C]1332.16[/C][/ROW]
[ROW][C]77[/C][C]8124[/C][C]4749.5[/C][C]5520.88[/C][C]-771.372[/C][C]3374.5[/C][/ROW]
[ROW][C]78[/C][C]2333[/C][C]4967.08[/C][C]4658.62[/C][C]308.453[/C][C]-2634.08[/C][/ROW]
[ROW][C]79[/C][C]3008[/C][C]3509.95[/C][C]3390.88[/C][C]119.076[/C][C]-501.951[/C][/ROW]
[ROW][C]80[/C][C]2744[/C][C]3085.22[/C][C]2741.38[/C][C]343.843[/C][C]-341.218[/C][/ROW]
[ROW][C]81[/C][C]2833[/C][C]2139.5[/C][C]2910.88[/C][C]-771.372[/C][C]693.497[/C][/ROW]
[ROW][C]82[/C][C]2428[/C][C]3434.83[/C][C]3126.38[/C][C]308.453[/C][C]-1006.83[/C][/ROW]
[ROW][C]83[/C][C]4269[/C][C]3595.45[/C][C]3476.38[/C][C]119.076[/C][C]673.549[/C][/ROW]
[ROW][C]84[/C][C]3207[/C][C]4779.72[/C][C]4435.88[/C][C]343.843[/C][C]-1572.72[/C][/ROW]
[ROW][C]85[/C][C]5170[/C][C]4366.25[/C][C]5137.62[/C][C]-771.372[/C][C]803.747[/C][/ROW]
[ROW][C]86[/C][C]7767[/C][C]5547.2[/C][C]5238.75[/C][C]308.453[/C][C]2219.8[/C][/ROW]
[ROW][C]87[/C][C]4544[/C][C]5052.45[/C][C]4933.38[/C][C]119.076[/C][C]-508.451[/C][/ROW]
[ROW][C]88[/C][C]3741[/C][C]4363.22[/C][C]4019.38[/C][C]343.843[/C][C]-622.218[/C][/ROW]
[ROW][C]89[/C][C]2193[/C][C]2798.38[/C][C]3569.75[/C][C]-771.372[/C][C]-605.378[/C][/ROW]
[ROW][C]90[/C][C]3432[/C][C]4332.2[/C][C]4023.75[/C][C]308.453[/C][C]-900.203[/C][/ROW]
[ROW][C]91[/C][C]5282[/C][C]4758.2[/C][C]4639.12[/C][C]119.076[/C][C]523.799[/C][/ROW]
[ROW][C]92[/C][C]6635[/C][C]5722.22[/C][C]5378.38[/C][C]343.843[/C][C]912.782[/C][/ROW]
[ROW][C]93[/C][C]4222[/C][C]4948.88[/C][C]5720.25[/C][C]-771.372[/C][C]-726.878[/C][/ROW]
[ROW][C]94[/C][C]7317[/C][C]5686.58[/C][C]5378.12[/C][C]308.453[/C][C]1630.42[/C][/ROW]
[ROW][C]95[/C][C]4132[/C][C]5318.95[/C][C]5199.88[/C][C]119.076[/C][C]-1186.95[/C][/ROW]
[ROW][C]96[/C][C]5048[/C][C]5119.34[/C][C]4775.5[/C][C]343.843[/C][C]-71.3426[/C][/ROW]
[ROW][C]97[/C][C]4383[/C][C]3553.25[/C][C]4324.62[/C][C]-771.372[/C][C]829.747[/C][/ROW]
[ROW][C]98[/C][C]3761[/C][C]4807.08[/C][C]4498.62[/C][C]308.453[/C][C]-1046.08[/C][/ROW]
[ROW][C]99[/C][C]4081[/C][C]4982.58[/C][C]4863.5[/C][C]119.076[/C][C]-901.576[/C][/ROW]
[ROW][C]100[/C][C]6491[/C][C]5814.09[/C][C]5470.25[/C][C]343.843[/C][C]676.907[/C][/ROW]
[ROW][C]101[/C][C]5859[/C][C]5571.25[/C][C]6342.62[/C][C]-771.372[/C][C]287.747[/C][/ROW]
[ROW][C]102[/C][C]7139[/C][C]7370.95[/C][C]7062.5[/C][C]308.453[/C][C]-231.953[/C][/ROW]
[ROW][C]103[/C][C]7682[/C][C]7487.2[/C][C]7368.12[/C][C]119.076[/C][C]194.799[/C][/ROW]
[ROW][C]104[/C][C]8649[/C][C]7747.59[/C][C]7403.75[/C][C]343.843[/C][C]901.407[/C][/ROW]
[ROW][C]105[/C][C]6146[/C][C]6915.38[/C][C]7686.75[/C][C]-771.372[/C][C]-769.378[/C][/ROW]
[ROW][C]106[/C][C]7137[/C][C]9174.7[/C][C]8866.25[/C][C]308.453[/C][C]-2037.7[/C][/ROW]
[ROW][C]107[/C][C]9948[/C][C]10159.6[/C][C]10040.5[/C][C]119.076[/C][C]-211.576[/C][/ROW]
[ROW][C]108[/C][C]15819[/C][C]11423[/C][C]11079.1[/C][C]343.843[/C][C]4396.03[/C][/ROW]
[ROW][C]109[/C][C]8370[/C][C]11913.8[/C][C]12685.1[/C][C]-771.372[/C][C]-3543.75[/C][/ROW]
[ROW][C]110[/C][C]13222[/C][C]14244[/C][C]13935.5[/C][C]308.453[/C][C]-1021.95[/C][/ROW]
[ROW][C]111[/C][C]16711[/C][C]14451.2[/C][C]14332.1[/C][C]119.076[/C][C]2259.8[/C][/ROW]
[ROW][C]112[/C][C]19059[/C][C]15612.5[/C][C]15268.6[/C][C]343.843[/C][C]3446.53[/C][/ROW]
[ROW][C]113[/C][C]8303[/C][C]14558[/C][C]15329.4[/C][C]-771.372[/C][C]-6255[/C][/ROW]
[ROW][C]114[/C][C]20781[/C][C]14051.8[/C][C]13743.4[/C][C]308.453[/C][C]6729.17[/C][/ROW]
[ROW][C]115[/C][C]9638[/C][C]12881.7[/C][C]12762.6[/C][C]119.076[/C][C]-3243.7[/C][/ROW]
[ROW][C]116[/C][C]13444[/C][C]11910.2[/C][C]11566.4[/C][C]343.843[/C][C]1533.78[/C][/ROW]
[ROW][C]117[/C][C]6072[/C][C]10480[/C][C]11251.4[/C][C]-771.372[/C][C]-4408[/C][/ROW]
[ROW][C]118[/C][C]13442[/C][C]12694.8[/C][C]12386.4[/C][C]308.453[/C][C]747.172[/C][/ROW]
[ROW][C]119[/C][C]14457[/C][C]14337[/C][C]14217.9[/C][C]119.076[/C][C]120.049[/C][/ROW]
[ROW][C]120[/C][C]17705[/C][C]16579.6[/C][C]16235.8[/C][C]343.843[/C][C]1125.41[/C][/ROW]
[ROW][C]121[/C][C]16463[/C][C]16962.3[/C][C]17733.6[/C][C]-771.372[/C][C]-499.253[/C][/ROW]
[ROW][C]122[/C][C]19194[/C][C]18450.2[/C][C]18141.8[/C][C]308.453[/C][C]743.797[/C][/ROW]
[ROW][C]123[/C][C]20688[/C][C]17420[/C][C]17300.9[/C][C]119.076[/C][C]3268.05[/C][/ROW]
[ROW][C]124[/C][C]14739[/C][C]16745.3[/C][C]16401.5[/C][C]343.843[/C][C]-2006.34[/C][/ROW]
[ROW][C]125[/C][C]12702[/C][C]NA[/C][C]NA[/C][C]-771.372[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]15760[/C][C]NA[/C][C]NA[/C][C]308.453[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301478&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
13647NANA-771.372NA
21885NANA308.453NA
347913394.583275.5119.0761396.42
431783873.473529.62343.843-695.468
528492898.883670.25-771.372-49.878
647163718.083409.62308.453997.922
730853571.833452.75119.076-486.826
827993637.723293.88343.843-838.718
935732306.883078.25-771.3721266.12
1027213778.953470.5308.453-1057.95
1133553858.453739.38119.076-503.451
1256673896.473552.62343.8431770.53
1328562788.253559.62-771.37267.747
1419443632.453324308.453-1688.45
1541883192.23073.12119.076995.799
1629493779.973436.12343.843-830.968
1735672852.133623.5-771.372714.872
1841373787.73479.25308.453349.297
1934943500.453381.38119.076-6.45148
2024893501.343157.5343.843-1012.34
21324420822853.38-771.3721162
2226693152.22843.75308.453-483.203
2325293089.082970119.076-560.076
2433773254.592910.75343.843122.407
2533662265.383036.75-771.3721100.62
2620733650.23341.75308.453-1577.2
2741333608.333489.25119.076524.674
2842134257.343913.5343.843-44.3426
2937103399.384170.75-771.372310.622
3051234214.083905.62308.453908.922
3131413895.333776.25119.076-754.326
3230843891.843548343.843-807.843
3338042488.633260-771.3721315.37
3432033415.333106.88308.453-212.328
3527573298.953179.88119.076-541.951
3622433658.593314.75343.843-1415.59
3752292579.883351.25-771.3722649.12
3828574069.333760.88308.453-1212.33
3933954448.74329.62119.076-1053.7
4048825673.345329.5343.843-791.343
41714057536524.38-771.3721387
4289457182.086873.62308.4531762.92
4368666417.76298.62119.076448.299
4442055418.845075343.843-1213.84
45321729953766.38-771.372221.997
4630793497.23188.75308.453-418.203
4722633236.583117.5119.076-973.576
4841873266.592922.75343.843920.407
4926652185.252956.62-771.372479.747
5020733362.083053.62308.453-1289.08
5135403074.952955.88119.076465.049
5236863567.973224.12343.843118.032
5323842523.53294.88-771.372-139.503
5445003018.452710308.4531481.55
5516792412.452293.38119.076-733.451
568682474.092130.25343.843-1606.09
5718691913.252684.62-771.372-44.253
5837103964.583656.12308.453-254.578
5969043977.23858.12119.0762926.8
6034154041.723697.88343.843-626.718
619382463.53234.88-771.372-1525.5
6233592982.082673.62308.453376.922
6335512912.452793.38119.076638.549
6422783264.222920.38343.843-986.218
6530331932.882704.25-771.3721100.12
6622803248.22939.75308.453-968.203
6729013606.73487.62119.076-705.701
6848124764.594420.75343.84347.4074
6948824619.755391.12-771.372262.247
7078965834.085525.62308.4532061.92
7150485452.835333.75119.076-404.826
7237415066.474722.62343.843-1325.47
73441833994170.38-771.3721019
7434714961.454653308.453-1490.45
7550555717.085598119.076-662.076
7675956262.845919343.8431332.16
7781244749.55520.88-771.3723374.5
7823334967.084658.62308.453-2634.08
7930083509.953390.88119.076-501.951
8027443085.222741.38343.843-341.218
8128332139.52910.88-771.372693.497
8224283434.833126.38308.453-1006.83
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12615760NANA308.453NA



Parameters (Session):
par1 = additive ; par2 = 4 ;
Parameters (R input):
par1 = additive ; par2 = 4 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')