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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 computationTue, 13 Dec 2016 23:28:42 +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/13/t1481668641jf2c4x529q30sr2.htm/, Retrieved Sun, 05 May 2024 07:56:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299252, Retrieved Sun, 05 May 2024 07:56:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [F1 Competitie Cla...] [2016-12-13 22:28:42] [15b172d40fa89b8c3dac8ac54fed18ba] [Current]
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Dataseries X:
4861
3665
6683
6824
7811
7242
7458
7856
6477
7577
5999
4628
4144
3778
4320
4948
5132
5460
5598
5583
5917
6458
5079
4486
3763
3531
5014
5162
4880
4720
4631
4315
4268
4172
3432
2705
2359
2729
4043
4301
4576
4984
4854
4847
5038
4950
4566
3943
3328
3106
4821
4876
5691
6576
5850
6499
6244
5855
5304
4035
4167
4791
5215
5949
6459
6680
6413
6626
6642
6529
5691
4743
3535
3314
5564
6287
6738
6355
6745
7005
6575
6719
5196
4304
4967
4175
5579
7009
6997
7062
7214
6918
6874
7175
5375
4675
4422
4567
5971
6560
6415
6727
7077
6589
6800
6982
6118
4500
3195
4482
6619
6237
6520
7043
6188
6774
6118
6308
5230
4587
4976
4561
5456
5691
6163
6133




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299252&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299252&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299252&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
14861NANA-1631.15NA
23665NANA-1554.37NA
36683NANA-139.585NA
46824NANA332.73NA
57811NANA573.165NA
67242NANA821.248NA
774587132.666393.54739.123325.335
878567201.696368.38833.31654.315
964776903.416274.62628.79-426.415
1075776913.826098815.823663.177
1159995662.125908.21-246.09336.881
1246284549.335722.33-117378.6688
1341443939.445570.58-1631.15204.562
1437783844.015398.38-1554.37-66.0076
1543205140.755280.33-139.585-820.748
1649485543.15210.38332.73-595.105
1751325698.585125.42573.165-566.582
1854605902.425081.17821.248-442.415
1955985798.55059.38739.123-200.498
2055835866.525033.21833.31-283.519
2159175680.625051.83628.79236.377
2264585905.495089.67815.823552.51
2350794841.995088.08-246.09237.006
2444863873.755046.75-1173612.252
2537633344.484975.62-1631.15418.52
2635313328.134882.5-1554.37202.867
2750144621.374760.96-139.585392.627
2851624929.734597332.73232.27
2948805006.294433.12573.165-126.29
3047205111.544290.29821.248-391.54
3146314896.714157.58739.123-265.706
3243154898.984065.67833.31-583.977
3342684620.583991.79628.79-352.581
3441724731.283915.46815.823-559.281
3534323620.833866.92-246.09-188.827
3627052692.253865.25-117312.7521
3723592254.43885.54-1631.15104.603
3827292362.633917-1554.37366.367
3940433831.673971.25-139.585211.335
4043014368.484035.75332.73-67.4799
4145764688.584115.42573.165-112.582
4249845035.54214.25821.248-51.4984
4348545045.334306.21739.123-191.331
4448475195.64362.29833.31-348.602
4550385039.214410.42628.79-1.20625
4649505282.614466.79815.823-332.615
4745664291.124537.21-246.09274.881
48394334774650-1173466.002
4933283126.694757.83-1631.15201.312
5031063313.84868.17-1554.37-207.799
5148214847.674987.25-139.585-26.665
5248765407.945075.21332.73-531.938
5356915716.835143.67573.165-25.8317
5465765999.55178.25821.248576.502
5558505956.165217.04739.123-106.165
5664996155.525322.21833.31343.481
5762446037.625408.83628.79206.377
5858556285.785469.96815.823-430.781
5953045300.585546.67-246.093.42292
60403544105583-1173-374.998
6141673979.655610.79-1631.15187.353
6247914085.175639.54-1554.37705.826
6352155521.835661.42-139.585-306.832
6459496038.815706.08332.73-89.8132
6564596323.465750.29573.165135.543
6666806617.175795.92821.24862.835
6764136538.215799.08739.123-125.206
6866266544.525711.21833.3181.4812
69664262935664.21628.79349.002
7065296508.665692.83815.82320.3438
7156915472.455718.54-246.09218.548
7247434543.625716.62-1173199.377
7335354085.775716.92-1631.15-550.772
7433144192.175746.54-1554.37-878.174
7555645619.965759.54-139.585-55.9567
7662876097.45764.67332.73189.603
7767386325.125751.96573.165412.877
7863556534.295713.04821.248-179.29
7967456493.545754.42739.123251.46
8070056683.275849.96833.31321.731
8165756515.255886.46628.7959.7521
8267196732.995917.17815.823-13.9896
8351965711.955958.04-246.09-515.952
8443044825.295998.29-1173-521.29
8549674416.156047.29-1631.15550.853
8641754508.846063.21-1554.37-333.841
8755795932.466072.04-139.585-353.457
8870096436.236103.5332.73572.77
8969976703.126129.96573.165293.877
9070626974.126152.88821.24887.8766
9172146884.756145.62739.123329.252
9269186972.566139.25833.31-54.5604
9368746800.716171.92628.7973.2938
9471756985.366169.54815.823189.635
9553755880.496126.58-246.09-505.494
9646754915.376088.38-1173-240.373
9744224437.566068.71-1631.15-15.5632
9845674494.926049.29-1554.3772.0757
9959715892.926032.5-139.58578.085
10065606354.16021.37332.73205.895
10164156617.466044.29573.165-202.457
10267276889.216067.96821.248-162.207
10370776748.666009.54739.123328.335
10465896788.195954.87833.31-199.185
10568006607.125978.33628.79192.877
10669826807.75991.87815.823174.302
10761185736.75982.79-246.09381.298
10845004827.336000.33-1173-327.331
10931954345.315976.46-1631.15-1150.31
11044824392.765947.12-1554.3789.2424
11166195786.835926.42-139.585832.168
11262376202.655869.92332.7334.3535
113652063785804.83573.165142.002
11470436592.715771.46821.248450.293
11561886588.415849.29739.123-400.415
11667746760.15926.79833.3113.8979
11761186510.415881.62628.79-392.415
11863086626.245810.42815.823-318.24
11952305526.75772.79-246.09-296.702
120458745475720-117340.0021
1214976NANA-1631.15NA
1224561NANA-1554.37NA
1235456NANA-139.585NA
1245691NANA332.73NA
1256163NANA573.165NA
1266133NANA821.248NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4861 & NA & NA & -1631.15 & NA \tabularnewline
2 & 3665 & NA & NA & -1554.37 & NA \tabularnewline
3 & 6683 & NA & NA & -139.585 & NA \tabularnewline
4 & 6824 & NA & NA & 332.73 & NA \tabularnewline
5 & 7811 & NA & NA & 573.165 & NA \tabularnewline
6 & 7242 & NA & NA & 821.248 & NA \tabularnewline
7 & 7458 & 7132.66 & 6393.54 & 739.123 & 325.335 \tabularnewline
8 & 7856 & 7201.69 & 6368.38 & 833.31 & 654.315 \tabularnewline
9 & 6477 & 6903.41 & 6274.62 & 628.79 & -426.415 \tabularnewline
10 & 7577 & 6913.82 & 6098 & 815.823 & 663.177 \tabularnewline
11 & 5999 & 5662.12 & 5908.21 & -246.09 & 336.881 \tabularnewline
12 & 4628 & 4549.33 & 5722.33 & -1173 & 78.6688 \tabularnewline
13 & 4144 & 3939.44 & 5570.58 & -1631.15 & 204.562 \tabularnewline
14 & 3778 & 3844.01 & 5398.38 & -1554.37 & -66.0076 \tabularnewline
15 & 4320 & 5140.75 & 5280.33 & -139.585 & -820.748 \tabularnewline
16 & 4948 & 5543.1 & 5210.38 & 332.73 & -595.105 \tabularnewline
17 & 5132 & 5698.58 & 5125.42 & 573.165 & -566.582 \tabularnewline
18 & 5460 & 5902.42 & 5081.17 & 821.248 & -442.415 \tabularnewline
19 & 5598 & 5798.5 & 5059.38 & 739.123 & -200.498 \tabularnewline
20 & 5583 & 5866.52 & 5033.21 & 833.31 & -283.519 \tabularnewline
21 & 5917 & 5680.62 & 5051.83 & 628.79 & 236.377 \tabularnewline
22 & 6458 & 5905.49 & 5089.67 & 815.823 & 552.51 \tabularnewline
23 & 5079 & 4841.99 & 5088.08 & -246.09 & 237.006 \tabularnewline
24 & 4486 & 3873.75 & 5046.75 & -1173 & 612.252 \tabularnewline
25 & 3763 & 3344.48 & 4975.62 & -1631.15 & 418.52 \tabularnewline
26 & 3531 & 3328.13 & 4882.5 & -1554.37 & 202.867 \tabularnewline
27 & 5014 & 4621.37 & 4760.96 & -139.585 & 392.627 \tabularnewline
28 & 5162 & 4929.73 & 4597 & 332.73 & 232.27 \tabularnewline
29 & 4880 & 5006.29 & 4433.12 & 573.165 & -126.29 \tabularnewline
30 & 4720 & 5111.54 & 4290.29 & 821.248 & -391.54 \tabularnewline
31 & 4631 & 4896.71 & 4157.58 & 739.123 & -265.706 \tabularnewline
32 & 4315 & 4898.98 & 4065.67 & 833.31 & -583.977 \tabularnewline
33 & 4268 & 4620.58 & 3991.79 & 628.79 & -352.581 \tabularnewline
34 & 4172 & 4731.28 & 3915.46 & 815.823 & -559.281 \tabularnewline
35 & 3432 & 3620.83 & 3866.92 & -246.09 & -188.827 \tabularnewline
36 & 2705 & 2692.25 & 3865.25 & -1173 & 12.7521 \tabularnewline
37 & 2359 & 2254.4 & 3885.54 & -1631.15 & 104.603 \tabularnewline
38 & 2729 & 2362.63 & 3917 & -1554.37 & 366.367 \tabularnewline
39 & 4043 & 3831.67 & 3971.25 & -139.585 & 211.335 \tabularnewline
40 & 4301 & 4368.48 & 4035.75 & 332.73 & -67.4799 \tabularnewline
41 & 4576 & 4688.58 & 4115.42 & 573.165 & -112.582 \tabularnewline
42 & 4984 & 5035.5 & 4214.25 & 821.248 & -51.4984 \tabularnewline
43 & 4854 & 5045.33 & 4306.21 & 739.123 & -191.331 \tabularnewline
44 & 4847 & 5195.6 & 4362.29 & 833.31 & -348.602 \tabularnewline
45 & 5038 & 5039.21 & 4410.42 & 628.79 & -1.20625 \tabularnewline
46 & 4950 & 5282.61 & 4466.79 & 815.823 & -332.615 \tabularnewline
47 & 4566 & 4291.12 & 4537.21 & -246.09 & 274.881 \tabularnewline
48 & 3943 & 3477 & 4650 & -1173 & 466.002 \tabularnewline
49 & 3328 & 3126.69 & 4757.83 & -1631.15 & 201.312 \tabularnewline
50 & 3106 & 3313.8 & 4868.17 & -1554.37 & -207.799 \tabularnewline
51 & 4821 & 4847.67 & 4987.25 & -139.585 & -26.665 \tabularnewline
52 & 4876 & 5407.94 & 5075.21 & 332.73 & -531.938 \tabularnewline
53 & 5691 & 5716.83 & 5143.67 & 573.165 & -25.8317 \tabularnewline
54 & 6576 & 5999.5 & 5178.25 & 821.248 & 576.502 \tabularnewline
55 & 5850 & 5956.16 & 5217.04 & 739.123 & -106.165 \tabularnewline
56 & 6499 & 6155.52 & 5322.21 & 833.31 & 343.481 \tabularnewline
57 & 6244 & 6037.62 & 5408.83 & 628.79 & 206.377 \tabularnewline
58 & 5855 & 6285.78 & 5469.96 & 815.823 & -430.781 \tabularnewline
59 & 5304 & 5300.58 & 5546.67 & -246.09 & 3.42292 \tabularnewline
60 & 4035 & 4410 & 5583 & -1173 & -374.998 \tabularnewline
61 & 4167 & 3979.65 & 5610.79 & -1631.15 & 187.353 \tabularnewline
62 & 4791 & 4085.17 & 5639.54 & -1554.37 & 705.826 \tabularnewline
63 & 5215 & 5521.83 & 5661.42 & -139.585 & -306.832 \tabularnewline
64 & 5949 & 6038.81 & 5706.08 & 332.73 & -89.8132 \tabularnewline
65 & 6459 & 6323.46 & 5750.29 & 573.165 & 135.543 \tabularnewline
66 & 6680 & 6617.17 & 5795.92 & 821.248 & 62.835 \tabularnewline
67 & 6413 & 6538.21 & 5799.08 & 739.123 & -125.206 \tabularnewline
68 & 6626 & 6544.52 & 5711.21 & 833.31 & 81.4812 \tabularnewline
69 & 6642 & 6293 & 5664.21 & 628.79 & 349.002 \tabularnewline
70 & 6529 & 6508.66 & 5692.83 & 815.823 & 20.3438 \tabularnewline
71 & 5691 & 5472.45 & 5718.54 & -246.09 & 218.548 \tabularnewline
72 & 4743 & 4543.62 & 5716.62 & -1173 & 199.377 \tabularnewline
73 & 3535 & 4085.77 & 5716.92 & -1631.15 & -550.772 \tabularnewline
74 & 3314 & 4192.17 & 5746.54 & -1554.37 & -878.174 \tabularnewline
75 & 5564 & 5619.96 & 5759.54 & -139.585 & -55.9567 \tabularnewline
76 & 6287 & 6097.4 & 5764.67 & 332.73 & 189.603 \tabularnewline
77 & 6738 & 6325.12 & 5751.96 & 573.165 & 412.877 \tabularnewline
78 & 6355 & 6534.29 & 5713.04 & 821.248 & -179.29 \tabularnewline
79 & 6745 & 6493.54 & 5754.42 & 739.123 & 251.46 \tabularnewline
80 & 7005 & 6683.27 & 5849.96 & 833.31 & 321.731 \tabularnewline
81 & 6575 & 6515.25 & 5886.46 & 628.79 & 59.7521 \tabularnewline
82 & 6719 & 6732.99 & 5917.17 & 815.823 & -13.9896 \tabularnewline
83 & 5196 & 5711.95 & 5958.04 & -246.09 & -515.952 \tabularnewline
84 & 4304 & 4825.29 & 5998.29 & -1173 & -521.29 \tabularnewline
85 & 4967 & 4416.15 & 6047.29 & -1631.15 & 550.853 \tabularnewline
86 & 4175 & 4508.84 & 6063.21 & -1554.37 & -333.841 \tabularnewline
87 & 5579 & 5932.46 & 6072.04 & -139.585 & -353.457 \tabularnewline
88 & 7009 & 6436.23 & 6103.5 & 332.73 & 572.77 \tabularnewline
89 & 6997 & 6703.12 & 6129.96 & 573.165 & 293.877 \tabularnewline
90 & 7062 & 6974.12 & 6152.88 & 821.248 & 87.8766 \tabularnewline
91 & 7214 & 6884.75 & 6145.62 & 739.123 & 329.252 \tabularnewline
92 & 6918 & 6972.56 & 6139.25 & 833.31 & -54.5604 \tabularnewline
93 & 6874 & 6800.71 & 6171.92 & 628.79 & 73.2938 \tabularnewline
94 & 7175 & 6985.36 & 6169.54 & 815.823 & 189.635 \tabularnewline
95 & 5375 & 5880.49 & 6126.58 & -246.09 & -505.494 \tabularnewline
96 & 4675 & 4915.37 & 6088.38 & -1173 & -240.373 \tabularnewline
97 & 4422 & 4437.56 & 6068.71 & -1631.15 & -15.5632 \tabularnewline
98 & 4567 & 4494.92 & 6049.29 & -1554.37 & 72.0757 \tabularnewline
99 & 5971 & 5892.92 & 6032.5 & -139.585 & 78.085 \tabularnewline
100 & 6560 & 6354.1 & 6021.37 & 332.73 & 205.895 \tabularnewline
101 & 6415 & 6617.46 & 6044.29 & 573.165 & -202.457 \tabularnewline
102 & 6727 & 6889.21 & 6067.96 & 821.248 & -162.207 \tabularnewline
103 & 7077 & 6748.66 & 6009.54 & 739.123 & 328.335 \tabularnewline
104 & 6589 & 6788.19 & 5954.87 & 833.31 & -199.185 \tabularnewline
105 & 6800 & 6607.12 & 5978.33 & 628.79 & 192.877 \tabularnewline
106 & 6982 & 6807.7 & 5991.87 & 815.823 & 174.302 \tabularnewline
107 & 6118 & 5736.7 & 5982.79 & -246.09 & 381.298 \tabularnewline
108 & 4500 & 4827.33 & 6000.33 & -1173 & -327.331 \tabularnewline
109 & 3195 & 4345.31 & 5976.46 & -1631.15 & -1150.31 \tabularnewline
110 & 4482 & 4392.76 & 5947.12 & -1554.37 & 89.2424 \tabularnewline
111 & 6619 & 5786.83 & 5926.42 & -139.585 & 832.168 \tabularnewline
112 & 6237 & 6202.65 & 5869.92 & 332.73 & 34.3535 \tabularnewline
113 & 6520 & 6378 & 5804.83 & 573.165 & 142.002 \tabularnewline
114 & 7043 & 6592.71 & 5771.46 & 821.248 & 450.293 \tabularnewline
115 & 6188 & 6588.41 & 5849.29 & 739.123 & -400.415 \tabularnewline
116 & 6774 & 6760.1 & 5926.79 & 833.31 & 13.8979 \tabularnewline
117 & 6118 & 6510.41 & 5881.62 & 628.79 & -392.415 \tabularnewline
118 & 6308 & 6626.24 & 5810.42 & 815.823 & -318.24 \tabularnewline
119 & 5230 & 5526.7 & 5772.79 & -246.09 & -296.702 \tabularnewline
120 & 4587 & 4547 & 5720 & -1173 & 40.0021 \tabularnewline
121 & 4976 & NA & NA & -1631.15 & NA \tabularnewline
122 & 4561 & NA & NA & -1554.37 & NA \tabularnewline
123 & 5456 & NA & NA & -139.585 & NA \tabularnewline
124 & 5691 & NA & NA & 332.73 & NA \tabularnewline
125 & 6163 & NA & NA & 573.165 & NA \tabularnewline
126 & 6133 & NA & NA & 821.248 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299252&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]4861[/C][C]NA[/C][C]NA[/C][C]-1631.15[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3665[/C][C]NA[/C][C]NA[/C][C]-1554.37[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6683[/C][C]NA[/C][C]NA[/C][C]-139.585[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6824[/C][C]NA[/C][C]NA[/C][C]332.73[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7811[/C][C]NA[/C][C]NA[/C][C]573.165[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7242[/C][C]NA[/C][C]NA[/C][C]821.248[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]7458[/C][C]7132.66[/C][C]6393.54[/C][C]739.123[/C][C]325.335[/C][/ROW]
[ROW][C]8[/C][C]7856[/C][C]7201.69[/C][C]6368.38[/C][C]833.31[/C][C]654.315[/C][/ROW]
[ROW][C]9[/C][C]6477[/C][C]6903.41[/C][C]6274.62[/C][C]628.79[/C][C]-426.415[/C][/ROW]
[ROW][C]10[/C][C]7577[/C][C]6913.82[/C][C]6098[/C][C]815.823[/C][C]663.177[/C][/ROW]
[ROW][C]11[/C][C]5999[/C][C]5662.12[/C][C]5908.21[/C][C]-246.09[/C][C]336.881[/C][/ROW]
[ROW][C]12[/C][C]4628[/C][C]4549.33[/C][C]5722.33[/C][C]-1173[/C][C]78.6688[/C][/ROW]
[ROW][C]13[/C][C]4144[/C][C]3939.44[/C][C]5570.58[/C][C]-1631.15[/C][C]204.562[/C][/ROW]
[ROW][C]14[/C][C]3778[/C][C]3844.01[/C][C]5398.38[/C][C]-1554.37[/C][C]-66.0076[/C][/ROW]
[ROW][C]15[/C][C]4320[/C][C]5140.75[/C][C]5280.33[/C][C]-139.585[/C][C]-820.748[/C][/ROW]
[ROW][C]16[/C][C]4948[/C][C]5543.1[/C][C]5210.38[/C][C]332.73[/C][C]-595.105[/C][/ROW]
[ROW][C]17[/C][C]5132[/C][C]5698.58[/C][C]5125.42[/C][C]573.165[/C][C]-566.582[/C][/ROW]
[ROW][C]18[/C][C]5460[/C][C]5902.42[/C][C]5081.17[/C][C]821.248[/C][C]-442.415[/C][/ROW]
[ROW][C]19[/C][C]5598[/C][C]5798.5[/C][C]5059.38[/C][C]739.123[/C][C]-200.498[/C][/ROW]
[ROW][C]20[/C][C]5583[/C][C]5866.52[/C][C]5033.21[/C][C]833.31[/C][C]-283.519[/C][/ROW]
[ROW][C]21[/C][C]5917[/C][C]5680.62[/C][C]5051.83[/C][C]628.79[/C][C]236.377[/C][/ROW]
[ROW][C]22[/C][C]6458[/C][C]5905.49[/C][C]5089.67[/C][C]815.823[/C][C]552.51[/C][/ROW]
[ROW][C]23[/C][C]5079[/C][C]4841.99[/C][C]5088.08[/C][C]-246.09[/C][C]237.006[/C][/ROW]
[ROW][C]24[/C][C]4486[/C][C]3873.75[/C][C]5046.75[/C][C]-1173[/C][C]612.252[/C][/ROW]
[ROW][C]25[/C][C]3763[/C][C]3344.48[/C][C]4975.62[/C][C]-1631.15[/C][C]418.52[/C][/ROW]
[ROW][C]26[/C][C]3531[/C][C]3328.13[/C][C]4882.5[/C][C]-1554.37[/C][C]202.867[/C][/ROW]
[ROW][C]27[/C][C]5014[/C][C]4621.37[/C][C]4760.96[/C][C]-139.585[/C][C]392.627[/C][/ROW]
[ROW][C]28[/C][C]5162[/C][C]4929.73[/C][C]4597[/C][C]332.73[/C][C]232.27[/C][/ROW]
[ROW][C]29[/C][C]4880[/C][C]5006.29[/C][C]4433.12[/C][C]573.165[/C][C]-126.29[/C][/ROW]
[ROW][C]30[/C][C]4720[/C][C]5111.54[/C][C]4290.29[/C][C]821.248[/C][C]-391.54[/C][/ROW]
[ROW][C]31[/C][C]4631[/C][C]4896.71[/C][C]4157.58[/C][C]739.123[/C][C]-265.706[/C][/ROW]
[ROW][C]32[/C][C]4315[/C][C]4898.98[/C][C]4065.67[/C][C]833.31[/C][C]-583.977[/C][/ROW]
[ROW][C]33[/C][C]4268[/C][C]4620.58[/C][C]3991.79[/C][C]628.79[/C][C]-352.581[/C][/ROW]
[ROW][C]34[/C][C]4172[/C][C]4731.28[/C][C]3915.46[/C][C]815.823[/C][C]-559.281[/C][/ROW]
[ROW][C]35[/C][C]3432[/C][C]3620.83[/C][C]3866.92[/C][C]-246.09[/C][C]-188.827[/C][/ROW]
[ROW][C]36[/C][C]2705[/C][C]2692.25[/C][C]3865.25[/C][C]-1173[/C][C]12.7521[/C][/ROW]
[ROW][C]37[/C][C]2359[/C][C]2254.4[/C][C]3885.54[/C][C]-1631.15[/C][C]104.603[/C][/ROW]
[ROW][C]38[/C][C]2729[/C][C]2362.63[/C][C]3917[/C][C]-1554.37[/C][C]366.367[/C][/ROW]
[ROW][C]39[/C][C]4043[/C][C]3831.67[/C][C]3971.25[/C][C]-139.585[/C][C]211.335[/C][/ROW]
[ROW][C]40[/C][C]4301[/C][C]4368.48[/C][C]4035.75[/C][C]332.73[/C][C]-67.4799[/C][/ROW]
[ROW][C]41[/C][C]4576[/C][C]4688.58[/C][C]4115.42[/C][C]573.165[/C][C]-112.582[/C][/ROW]
[ROW][C]42[/C][C]4984[/C][C]5035.5[/C][C]4214.25[/C][C]821.248[/C][C]-51.4984[/C][/ROW]
[ROW][C]43[/C][C]4854[/C][C]5045.33[/C][C]4306.21[/C][C]739.123[/C][C]-191.331[/C][/ROW]
[ROW][C]44[/C][C]4847[/C][C]5195.6[/C][C]4362.29[/C][C]833.31[/C][C]-348.602[/C][/ROW]
[ROW][C]45[/C][C]5038[/C][C]5039.21[/C][C]4410.42[/C][C]628.79[/C][C]-1.20625[/C][/ROW]
[ROW][C]46[/C][C]4950[/C][C]5282.61[/C][C]4466.79[/C][C]815.823[/C][C]-332.615[/C][/ROW]
[ROW][C]47[/C][C]4566[/C][C]4291.12[/C][C]4537.21[/C][C]-246.09[/C][C]274.881[/C][/ROW]
[ROW][C]48[/C][C]3943[/C][C]3477[/C][C]4650[/C][C]-1173[/C][C]466.002[/C][/ROW]
[ROW][C]49[/C][C]3328[/C][C]3126.69[/C][C]4757.83[/C][C]-1631.15[/C][C]201.312[/C][/ROW]
[ROW][C]50[/C][C]3106[/C][C]3313.8[/C][C]4868.17[/C][C]-1554.37[/C][C]-207.799[/C][/ROW]
[ROW][C]51[/C][C]4821[/C][C]4847.67[/C][C]4987.25[/C][C]-139.585[/C][C]-26.665[/C][/ROW]
[ROW][C]52[/C][C]4876[/C][C]5407.94[/C][C]5075.21[/C][C]332.73[/C][C]-531.938[/C][/ROW]
[ROW][C]53[/C][C]5691[/C][C]5716.83[/C][C]5143.67[/C][C]573.165[/C][C]-25.8317[/C][/ROW]
[ROW][C]54[/C][C]6576[/C][C]5999.5[/C][C]5178.25[/C][C]821.248[/C][C]576.502[/C][/ROW]
[ROW][C]55[/C][C]5850[/C][C]5956.16[/C][C]5217.04[/C][C]739.123[/C][C]-106.165[/C][/ROW]
[ROW][C]56[/C][C]6499[/C][C]6155.52[/C][C]5322.21[/C][C]833.31[/C][C]343.481[/C][/ROW]
[ROW][C]57[/C][C]6244[/C][C]6037.62[/C][C]5408.83[/C][C]628.79[/C][C]206.377[/C][/ROW]
[ROW][C]58[/C][C]5855[/C][C]6285.78[/C][C]5469.96[/C][C]815.823[/C][C]-430.781[/C][/ROW]
[ROW][C]59[/C][C]5304[/C][C]5300.58[/C][C]5546.67[/C][C]-246.09[/C][C]3.42292[/C][/ROW]
[ROW][C]60[/C][C]4035[/C][C]4410[/C][C]5583[/C][C]-1173[/C][C]-374.998[/C][/ROW]
[ROW][C]61[/C][C]4167[/C][C]3979.65[/C][C]5610.79[/C][C]-1631.15[/C][C]187.353[/C][/ROW]
[ROW][C]62[/C][C]4791[/C][C]4085.17[/C][C]5639.54[/C][C]-1554.37[/C][C]705.826[/C][/ROW]
[ROW][C]63[/C][C]5215[/C][C]5521.83[/C][C]5661.42[/C][C]-139.585[/C][C]-306.832[/C][/ROW]
[ROW][C]64[/C][C]5949[/C][C]6038.81[/C][C]5706.08[/C][C]332.73[/C][C]-89.8132[/C][/ROW]
[ROW][C]65[/C][C]6459[/C][C]6323.46[/C][C]5750.29[/C][C]573.165[/C][C]135.543[/C][/ROW]
[ROW][C]66[/C][C]6680[/C][C]6617.17[/C][C]5795.92[/C][C]821.248[/C][C]62.835[/C][/ROW]
[ROW][C]67[/C][C]6413[/C][C]6538.21[/C][C]5799.08[/C][C]739.123[/C][C]-125.206[/C][/ROW]
[ROW][C]68[/C][C]6626[/C][C]6544.52[/C][C]5711.21[/C][C]833.31[/C][C]81.4812[/C][/ROW]
[ROW][C]69[/C][C]6642[/C][C]6293[/C][C]5664.21[/C][C]628.79[/C][C]349.002[/C][/ROW]
[ROW][C]70[/C][C]6529[/C][C]6508.66[/C][C]5692.83[/C][C]815.823[/C][C]20.3438[/C][/ROW]
[ROW][C]71[/C][C]5691[/C][C]5472.45[/C][C]5718.54[/C][C]-246.09[/C][C]218.548[/C][/ROW]
[ROW][C]72[/C][C]4743[/C][C]4543.62[/C][C]5716.62[/C][C]-1173[/C][C]199.377[/C][/ROW]
[ROW][C]73[/C][C]3535[/C][C]4085.77[/C][C]5716.92[/C][C]-1631.15[/C][C]-550.772[/C][/ROW]
[ROW][C]74[/C][C]3314[/C][C]4192.17[/C][C]5746.54[/C][C]-1554.37[/C][C]-878.174[/C][/ROW]
[ROW][C]75[/C][C]5564[/C][C]5619.96[/C][C]5759.54[/C][C]-139.585[/C][C]-55.9567[/C][/ROW]
[ROW][C]76[/C][C]6287[/C][C]6097.4[/C][C]5764.67[/C][C]332.73[/C][C]189.603[/C][/ROW]
[ROW][C]77[/C][C]6738[/C][C]6325.12[/C][C]5751.96[/C][C]573.165[/C][C]412.877[/C][/ROW]
[ROW][C]78[/C][C]6355[/C][C]6534.29[/C][C]5713.04[/C][C]821.248[/C][C]-179.29[/C][/ROW]
[ROW][C]79[/C][C]6745[/C][C]6493.54[/C][C]5754.42[/C][C]739.123[/C][C]251.46[/C][/ROW]
[ROW][C]80[/C][C]7005[/C][C]6683.27[/C][C]5849.96[/C][C]833.31[/C][C]321.731[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]6515.25[/C][C]5886.46[/C][C]628.79[/C][C]59.7521[/C][/ROW]
[ROW][C]82[/C][C]6719[/C][C]6732.99[/C][C]5917.17[/C][C]815.823[/C][C]-13.9896[/C][/ROW]
[ROW][C]83[/C][C]5196[/C][C]5711.95[/C][C]5958.04[/C][C]-246.09[/C][C]-515.952[/C][/ROW]
[ROW][C]84[/C][C]4304[/C][C]4825.29[/C][C]5998.29[/C][C]-1173[/C][C]-521.29[/C][/ROW]
[ROW][C]85[/C][C]4967[/C][C]4416.15[/C][C]6047.29[/C][C]-1631.15[/C][C]550.853[/C][/ROW]
[ROW][C]86[/C][C]4175[/C][C]4508.84[/C][C]6063.21[/C][C]-1554.37[/C][C]-333.841[/C][/ROW]
[ROW][C]87[/C][C]5579[/C][C]5932.46[/C][C]6072.04[/C][C]-139.585[/C][C]-353.457[/C][/ROW]
[ROW][C]88[/C][C]7009[/C][C]6436.23[/C][C]6103.5[/C][C]332.73[/C][C]572.77[/C][/ROW]
[ROW][C]89[/C][C]6997[/C][C]6703.12[/C][C]6129.96[/C][C]573.165[/C][C]293.877[/C][/ROW]
[ROW][C]90[/C][C]7062[/C][C]6974.12[/C][C]6152.88[/C][C]821.248[/C][C]87.8766[/C][/ROW]
[ROW][C]91[/C][C]7214[/C][C]6884.75[/C][C]6145.62[/C][C]739.123[/C][C]329.252[/C][/ROW]
[ROW][C]92[/C][C]6918[/C][C]6972.56[/C][C]6139.25[/C][C]833.31[/C][C]-54.5604[/C][/ROW]
[ROW][C]93[/C][C]6874[/C][C]6800.71[/C][C]6171.92[/C][C]628.79[/C][C]73.2938[/C][/ROW]
[ROW][C]94[/C][C]7175[/C][C]6985.36[/C][C]6169.54[/C][C]815.823[/C][C]189.635[/C][/ROW]
[ROW][C]95[/C][C]5375[/C][C]5880.49[/C][C]6126.58[/C][C]-246.09[/C][C]-505.494[/C][/ROW]
[ROW][C]96[/C][C]4675[/C][C]4915.37[/C][C]6088.38[/C][C]-1173[/C][C]-240.373[/C][/ROW]
[ROW][C]97[/C][C]4422[/C][C]4437.56[/C][C]6068.71[/C][C]-1631.15[/C][C]-15.5632[/C][/ROW]
[ROW][C]98[/C][C]4567[/C][C]4494.92[/C][C]6049.29[/C][C]-1554.37[/C][C]72.0757[/C][/ROW]
[ROW][C]99[/C][C]5971[/C][C]5892.92[/C][C]6032.5[/C][C]-139.585[/C][C]78.085[/C][/ROW]
[ROW][C]100[/C][C]6560[/C][C]6354.1[/C][C]6021.37[/C][C]332.73[/C][C]205.895[/C][/ROW]
[ROW][C]101[/C][C]6415[/C][C]6617.46[/C][C]6044.29[/C][C]573.165[/C][C]-202.457[/C][/ROW]
[ROW][C]102[/C][C]6727[/C][C]6889.21[/C][C]6067.96[/C][C]821.248[/C][C]-162.207[/C][/ROW]
[ROW][C]103[/C][C]7077[/C][C]6748.66[/C][C]6009.54[/C][C]739.123[/C][C]328.335[/C][/ROW]
[ROW][C]104[/C][C]6589[/C][C]6788.19[/C][C]5954.87[/C][C]833.31[/C][C]-199.185[/C][/ROW]
[ROW][C]105[/C][C]6800[/C][C]6607.12[/C][C]5978.33[/C][C]628.79[/C][C]192.877[/C][/ROW]
[ROW][C]106[/C][C]6982[/C][C]6807.7[/C][C]5991.87[/C][C]815.823[/C][C]174.302[/C][/ROW]
[ROW][C]107[/C][C]6118[/C][C]5736.7[/C][C]5982.79[/C][C]-246.09[/C][C]381.298[/C][/ROW]
[ROW][C]108[/C][C]4500[/C][C]4827.33[/C][C]6000.33[/C][C]-1173[/C][C]-327.331[/C][/ROW]
[ROW][C]109[/C][C]3195[/C][C]4345.31[/C][C]5976.46[/C][C]-1631.15[/C][C]-1150.31[/C][/ROW]
[ROW][C]110[/C][C]4482[/C][C]4392.76[/C][C]5947.12[/C][C]-1554.37[/C][C]89.2424[/C][/ROW]
[ROW][C]111[/C][C]6619[/C][C]5786.83[/C][C]5926.42[/C][C]-139.585[/C][C]832.168[/C][/ROW]
[ROW][C]112[/C][C]6237[/C][C]6202.65[/C][C]5869.92[/C][C]332.73[/C][C]34.3535[/C][/ROW]
[ROW][C]113[/C][C]6520[/C][C]6378[/C][C]5804.83[/C][C]573.165[/C][C]142.002[/C][/ROW]
[ROW][C]114[/C][C]7043[/C][C]6592.71[/C][C]5771.46[/C][C]821.248[/C][C]450.293[/C][/ROW]
[ROW][C]115[/C][C]6188[/C][C]6588.41[/C][C]5849.29[/C][C]739.123[/C][C]-400.415[/C][/ROW]
[ROW][C]116[/C][C]6774[/C][C]6760.1[/C][C]5926.79[/C][C]833.31[/C][C]13.8979[/C][/ROW]
[ROW][C]117[/C][C]6118[/C][C]6510.41[/C][C]5881.62[/C][C]628.79[/C][C]-392.415[/C][/ROW]
[ROW][C]118[/C][C]6308[/C][C]6626.24[/C][C]5810.42[/C][C]815.823[/C][C]-318.24[/C][/ROW]
[ROW][C]119[/C][C]5230[/C][C]5526.7[/C][C]5772.79[/C][C]-246.09[/C][C]-296.702[/C][/ROW]
[ROW][C]120[/C][C]4587[/C][C]4547[/C][C]5720[/C][C]-1173[/C][C]40.0021[/C][/ROW]
[ROW][C]121[/C][C]4976[/C][C]NA[/C][C]NA[/C][C]-1631.15[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]4561[/C][C]NA[/C][C]NA[/C][C]-1554.37[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]5456[/C][C]NA[/C][C]NA[/C][C]-139.585[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]5691[/C][C]NA[/C][C]NA[/C][C]332.73[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]6163[/C][C]NA[/C][C]NA[/C][C]573.165[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]6133[/C][C]NA[/C][C]NA[/C][C]821.248[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299252&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299252&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
14861NANA-1631.15NA
23665NANA-1554.37NA
36683NANA-139.585NA
46824NANA332.73NA
57811NANA573.165NA
67242NANA821.248NA
774587132.666393.54739.123325.335
878567201.696368.38833.31654.315
964776903.416274.62628.79-426.415
1075776913.826098815.823663.177
1159995662.125908.21-246.09336.881
1246284549.335722.33-117378.6688
1341443939.445570.58-1631.15204.562
1437783844.015398.38-1554.37-66.0076
1543205140.755280.33-139.585-820.748
1649485543.15210.38332.73-595.105
1751325698.585125.42573.165-566.582
1854605902.425081.17821.248-442.415
1955985798.55059.38739.123-200.498
2055835866.525033.21833.31-283.519
2159175680.625051.83628.79236.377
2264585905.495089.67815.823552.51
2350794841.995088.08-246.09237.006
2444863873.755046.75-1173612.252
2537633344.484975.62-1631.15418.52
2635313328.134882.5-1554.37202.867
2750144621.374760.96-139.585392.627
2851624929.734597332.73232.27
2948805006.294433.12573.165-126.29
3047205111.544290.29821.248-391.54
3146314896.714157.58739.123-265.706
3243154898.984065.67833.31-583.977
3342684620.583991.79628.79-352.581
3441724731.283915.46815.823-559.281
3534323620.833866.92-246.09-188.827
3627052692.253865.25-117312.7521
3723592254.43885.54-1631.15104.603
3827292362.633917-1554.37366.367
3940433831.673971.25-139.585211.335
4043014368.484035.75332.73-67.4799
4145764688.584115.42573.165-112.582
4249845035.54214.25821.248-51.4984
4348545045.334306.21739.123-191.331
4448475195.64362.29833.31-348.602
4550385039.214410.42628.79-1.20625
4649505282.614466.79815.823-332.615
4745664291.124537.21-246.09274.881
48394334774650-1173466.002
4933283126.694757.83-1631.15201.312
5031063313.84868.17-1554.37-207.799
5148214847.674987.25-139.585-26.665
5248765407.945075.21332.73-531.938
5356915716.835143.67573.165-25.8317
5465765999.55178.25821.248576.502
5558505956.165217.04739.123-106.165
5664996155.525322.21833.31343.481
5762446037.625408.83628.79206.377
5858556285.785469.96815.823-430.781
5953045300.585546.67-246.093.42292
60403544105583-1173-374.998
6141673979.655610.79-1631.15187.353
6247914085.175639.54-1554.37705.826
6352155521.835661.42-139.585-306.832
6459496038.815706.08332.73-89.8132
6564596323.465750.29573.165135.543
6666806617.175795.92821.24862.835
6764136538.215799.08739.123-125.206
6866266544.525711.21833.3181.4812
69664262935664.21628.79349.002
7065296508.665692.83815.82320.3438
7156915472.455718.54-246.09218.548
7247434543.625716.62-1173199.377
7335354085.775716.92-1631.15-550.772
7433144192.175746.54-1554.37-878.174
7555645619.965759.54-139.585-55.9567
7662876097.45764.67332.73189.603
7767386325.125751.96573.165412.877
7863556534.295713.04821.248-179.29
7967456493.545754.42739.123251.46
8070056683.275849.96833.31321.731
8165756515.255886.46628.7959.7521
8267196732.995917.17815.823-13.9896
8351965711.955958.04-246.09-515.952
8443044825.295998.29-1173-521.29
8549674416.156047.29-1631.15550.853
8641754508.846063.21-1554.37-333.841
8755795932.466072.04-139.585-353.457
8870096436.236103.5332.73572.77
8969976703.126129.96573.165293.877
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11761186510.415881.62628.79-392.415
11863086626.245810.42815.823-318.24
11952305526.75772.79-246.09-296.702
120458745475720-117340.0021
1214976NANA-1631.15NA
1224561NANA-1554.37NA
1235456NANA-139.585NA
1245691NANA332.73NA
1256163NANA573.165NA
1266133NANA821.248NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '11'
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')