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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 computationWed, 14 Dec 2016 15:02:44 +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/14/t1481724571s602rahb3iin23f.htm/, Retrieved Fri, 03 May 2024 15:55:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299465, Retrieved Fri, 03 May 2024 15:55:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-14 14:02:44] [6deb082de88ded72ec069288c69f9f98] [Current]
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Dataseries X:
5410.4
5432.2
5452.9
5477.6
5472.5
5454.9
5446
5010.6
5395.9
5360
5336.9
5333.9
5329.6
5345.7
5353.8
5377.2
5334.1
5351.1
5001
5246.4
5230
5115.8
4972.6
5077.6
5056.9
5070.7
4799.3
5076
5021.5
5026.4
4981.9
4936.6
4901.8
4853.8
4839.2
4821.3
4840.5
4847.6
4832.3
4814.7
4806.4
4803.4
4770.3
4723.4
4667.1
4636.8
4613.2
4605.3
4590.4
4595.4
4600.1
4543.3
4596.4
4575.4
4547.9
4503.7
4446.3
4401.4
4354.3
4336.3
4300.9
4304.1
4273.2
4279.9
4243.1
4199.1
4177.6
4141.7
4088.3
4021.4
3981.2
3937.2
3893.1
3864.7
3847.8
3840.8
3828.4
3798.6
3773
3737.8
3699
3674
3648.8
3645.6
3331
3674.7
3714.5
3739.7
3759.7
3708.6
3717.3
3705.3
3612.8
3665
3670.8
3687.6
3708.2
3737.2
3748.7
3785.3
3787.1
3785.8
3749.7
3716.3
3650
3096.9
3703.2
3716
3736.9
3771.9
3704
3824.2
3733.5
3827.5
3827.6
3696.5
3675.8
3757.5
3753.3
3418.7
3772.9




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299465&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299465&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299465&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
15410.4NANA-43.2024NA
25432.2NANA17.5407NA
35452.9NANA-6.00098NA
45477.6NANA54.6481NA
55472.5NANA50.4097NA
65454.9NANA62.7967NA
754465403.475378.6224.853442.5299
85010.65354.45371.65-17.2436-343.802
95395.95359.055363.91-4.8602436.8477
1053605270.265355.6-85.342289.7422
115336.95308.85345.65-36.847728.0977
125333.95318.815335.56-16.751415.0931
135329.65269.495312.69-43.202460.1107
145345.75321.525303.9817.540724.1843
155353.85300.895306.89-6.0009852.9135
165377.25344.455289.854.648132.7519
175334.15314.865264.4550.409719.2445
185351.15301.385238.5962.796749.7158
1950015241.45216.5524.8534-240.399
205246.45176.485193.72-17.243669.9186
2152305154.35159.16-4.8602475.6977
225115.85038.175123.51-85.342277.6339
234972.65061.095097.93-36.8477-88.4856
245077.65054.635071.38-16.751422.9723
255056.95013.855057.05-43.202443.0482
265070.75060.895043.3517.54079.80932
274799.35010.775016.77-6.00098-211.466
2850765046.824992.1854.648129.1769
295021.55026.114975.750.4097-4.60966
305026.45022.264959.4662.79674.1408
314981.94964.624939.7724.853417.2799
324936.64904.214921.45-17.243632.3894
334901.84908.674913.53-4.86024-6.87309
344853.84818.684904.02-85.342235.1214
354839.24847.324884.17-36.8477-8.12309
364821.34849.174865.92-16.7514-27.8652
374840.54804.614847.81-43.202435.894
384847.64847.654830.1117.5407-0.0490162
394832.34805.444811.45-6.0009826.8552
404814.74847.274792.6254.6481-32.5731
414806.44824.584774.1750.4097-18.1763
424803.44818.554755.7562.7967-15.1467
434770.34761.184736.3324.85349.11742
444723.44698.164715.4-17.243625.2436
454667.14690.364695.22-4.86024-23.2564
464636.84588.894674.23-85.342247.9089
474613.24617.334654.18-36.8477-4.12726
484605.34619.174635.92-16.7514-13.8736
494590.44573.964617.16-43.202416.444
504595.44616.284598.7417.5407-20.8782
514600.14574.384580.38-6.0009825.7177
524543.34616.024561.3754.6481-72.7231
534596.44591.194540.7850.40975.21117
544575.44581.584518.7862.7967-6.18003
554547.94520.374495.5124.853427.5341
564503.74454.074471.31-17.243649.6311
574446.34440.694445.55-4.860245.60608
584401.44335.624420.96-85.342265.7839
594354.34358.414395.26-36.8477-4.11476
604336.34348.114364.86-16.7514-11.8111
614300.94290.554333.75-43.202410.3482
624304.14320.784303.2417.5407-16.6823
634273.24267.244273.24-6.000985.95932
644279.94297.144242.4954.6481-17.2398
654243.14261.524211.1150.4097-18.4222
664199.14241.734178.9462.7967-42.6342
674177.64170.174145.3224.85347.42992
684141.74092.774110.02-17.243648.9269
694088.34069.124073.98-4.8602419.1769
704021.43952.624037.96-85.342268.7797
713981.23965.544002.39-36.847715.6602
723937.23951.673968.42-16.7514-14.4694
733893.13891.673934.88-43.20241.42737
743864.73918.733901.1917.5407-54.0282
753847.83862.143868.14-6.00098-14.3365
763840.83892.093837.4454.6481-51.2898
773828.43859.533809.1250.4097-31.1263
783798.63845.913783.1262.7967-47.3134
7937733772.43747.5524.85340.600752
803737.83698.963716.21-17.243638.8352
8136993697.883702.74-4.860241.12274
8236743607.633692.97-85.342266.3714
833648.83649.053685.9-36.8477-0.24809
843645.63662.533679.28-16.7514-16.9319
8533313630.013673.21-43.2024-299.01
863674.73687.083669.5417.5407-12.3782
873714.53658.593664.59-6.0009855.9093
883739.73715.273660.6254.648124.4269
893759.73711.583661.1750.409748.1237
903708.63726.633663.8362.7967-18.03
913717.33706.153681.324.853411.1466
923705.33682.383699.62-17.243622.9227
933612.83698.793703.65-4.86024-85.9898
9436653621.633706.97-85.342243.3672
953670.83673.173710.02-36.8477-2.36892
963687.63697.623714.38-16.7514-10.0236
973708.23675.743718.94-43.202432.4607
983737.23738.293720.7517.5407-1.09068
993748.73716.763722.76-6.0009831.9427
1003785.33755.293700.6454.648130.0144
1013787.13728.733678.3250.409758.3737
1023785.83743.653680.8562.796742.1533
1033749.73708.083683.2324.853441.6174
1043716.33668.633685.87-17.243647.6727
10536503680.593685.45-4.86024-30.5939
1063096.93599.873685.21-85.3422-502.97
1073703.23647.753684.6-36.847755.4477
10837163667.353684.1-16.751448.6473
1093736.93645.893689.09-43.202491.0149
1103771.93709.053691.5117.540762.851
11137043685.763691.76-6.0009818.2427
1123824.23775.013720.3654.648149.1936
1133733.53800.383749.9750.4097-66.8805
1143827.53802.473739.6762.796725.0325
1153827.63753.643728.7824.853473.9633
1163696.5NANA-17.2436NA
1173675.8NANA-4.86024NA
1183757.5NANA-85.3422NA
1193753.3NANA-36.8477NA
1203418.7NANA-16.7514NA
1213772.9NANA-43.2024NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5410.4 & NA & NA & -43.2024 & NA \tabularnewline
2 & 5432.2 & NA & NA & 17.5407 & NA \tabularnewline
3 & 5452.9 & NA & NA & -6.00098 & NA \tabularnewline
4 & 5477.6 & NA & NA & 54.6481 & NA \tabularnewline
5 & 5472.5 & NA & NA & 50.4097 & NA \tabularnewline
6 & 5454.9 & NA & NA & 62.7967 & NA \tabularnewline
7 & 5446 & 5403.47 & 5378.62 & 24.8534 & 42.5299 \tabularnewline
8 & 5010.6 & 5354.4 & 5371.65 & -17.2436 & -343.802 \tabularnewline
9 & 5395.9 & 5359.05 & 5363.91 & -4.86024 & 36.8477 \tabularnewline
10 & 5360 & 5270.26 & 5355.6 & -85.3422 & 89.7422 \tabularnewline
11 & 5336.9 & 5308.8 & 5345.65 & -36.8477 & 28.0977 \tabularnewline
12 & 5333.9 & 5318.81 & 5335.56 & -16.7514 & 15.0931 \tabularnewline
13 & 5329.6 & 5269.49 & 5312.69 & -43.2024 & 60.1107 \tabularnewline
14 & 5345.7 & 5321.52 & 5303.98 & 17.5407 & 24.1843 \tabularnewline
15 & 5353.8 & 5300.89 & 5306.89 & -6.00098 & 52.9135 \tabularnewline
16 & 5377.2 & 5344.45 & 5289.8 & 54.6481 & 32.7519 \tabularnewline
17 & 5334.1 & 5314.86 & 5264.45 & 50.4097 & 19.2445 \tabularnewline
18 & 5351.1 & 5301.38 & 5238.59 & 62.7967 & 49.7158 \tabularnewline
19 & 5001 & 5241.4 & 5216.55 & 24.8534 & -240.399 \tabularnewline
20 & 5246.4 & 5176.48 & 5193.72 & -17.2436 & 69.9186 \tabularnewline
21 & 5230 & 5154.3 & 5159.16 & -4.86024 & 75.6977 \tabularnewline
22 & 5115.8 & 5038.17 & 5123.51 & -85.3422 & 77.6339 \tabularnewline
23 & 4972.6 & 5061.09 & 5097.93 & -36.8477 & -88.4856 \tabularnewline
24 & 5077.6 & 5054.63 & 5071.38 & -16.7514 & 22.9723 \tabularnewline
25 & 5056.9 & 5013.85 & 5057.05 & -43.2024 & 43.0482 \tabularnewline
26 & 5070.7 & 5060.89 & 5043.35 & 17.5407 & 9.80932 \tabularnewline
27 & 4799.3 & 5010.77 & 5016.77 & -6.00098 & -211.466 \tabularnewline
28 & 5076 & 5046.82 & 4992.18 & 54.6481 & 29.1769 \tabularnewline
29 & 5021.5 & 5026.11 & 4975.7 & 50.4097 & -4.60966 \tabularnewline
30 & 5026.4 & 5022.26 & 4959.46 & 62.7967 & 4.1408 \tabularnewline
31 & 4981.9 & 4964.62 & 4939.77 & 24.8534 & 17.2799 \tabularnewline
32 & 4936.6 & 4904.21 & 4921.45 & -17.2436 & 32.3894 \tabularnewline
33 & 4901.8 & 4908.67 & 4913.53 & -4.86024 & -6.87309 \tabularnewline
34 & 4853.8 & 4818.68 & 4904.02 & -85.3422 & 35.1214 \tabularnewline
35 & 4839.2 & 4847.32 & 4884.17 & -36.8477 & -8.12309 \tabularnewline
36 & 4821.3 & 4849.17 & 4865.92 & -16.7514 & -27.8652 \tabularnewline
37 & 4840.5 & 4804.61 & 4847.81 & -43.2024 & 35.894 \tabularnewline
38 & 4847.6 & 4847.65 & 4830.11 & 17.5407 & -0.0490162 \tabularnewline
39 & 4832.3 & 4805.44 & 4811.45 & -6.00098 & 26.8552 \tabularnewline
40 & 4814.7 & 4847.27 & 4792.62 & 54.6481 & -32.5731 \tabularnewline
41 & 4806.4 & 4824.58 & 4774.17 & 50.4097 & -18.1763 \tabularnewline
42 & 4803.4 & 4818.55 & 4755.75 & 62.7967 & -15.1467 \tabularnewline
43 & 4770.3 & 4761.18 & 4736.33 & 24.8534 & 9.11742 \tabularnewline
44 & 4723.4 & 4698.16 & 4715.4 & -17.2436 & 25.2436 \tabularnewline
45 & 4667.1 & 4690.36 & 4695.22 & -4.86024 & -23.2564 \tabularnewline
46 & 4636.8 & 4588.89 & 4674.23 & -85.3422 & 47.9089 \tabularnewline
47 & 4613.2 & 4617.33 & 4654.18 & -36.8477 & -4.12726 \tabularnewline
48 & 4605.3 & 4619.17 & 4635.92 & -16.7514 & -13.8736 \tabularnewline
49 & 4590.4 & 4573.96 & 4617.16 & -43.2024 & 16.444 \tabularnewline
50 & 4595.4 & 4616.28 & 4598.74 & 17.5407 & -20.8782 \tabularnewline
51 & 4600.1 & 4574.38 & 4580.38 & -6.00098 & 25.7177 \tabularnewline
52 & 4543.3 & 4616.02 & 4561.37 & 54.6481 & -72.7231 \tabularnewline
53 & 4596.4 & 4591.19 & 4540.78 & 50.4097 & 5.21117 \tabularnewline
54 & 4575.4 & 4581.58 & 4518.78 & 62.7967 & -6.18003 \tabularnewline
55 & 4547.9 & 4520.37 & 4495.51 & 24.8534 & 27.5341 \tabularnewline
56 & 4503.7 & 4454.07 & 4471.31 & -17.2436 & 49.6311 \tabularnewline
57 & 4446.3 & 4440.69 & 4445.55 & -4.86024 & 5.60608 \tabularnewline
58 & 4401.4 & 4335.62 & 4420.96 & -85.3422 & 65.7839 \tabularnewline
59 & 4354.3 & 4358.41 & 4395.26 & -36.8477 & -4.11476 \tabularnewline
60 & 4336.3 & 4348.11 & 4364.86 & -16.7514 & -11.8111 \tabularnewline
61 & 4300.9 & 4290.55 & 4333.75 & -43.2024 & 10.3482 \tabularnewline
62 & 4304.1 & 4320.78 & 4303.24 & 17.5407 & -16.6823 \tabularnewline
63 & 4273.2 & 4267.24 & 4273.24 & -6.00098 & 5.95932 \tabularnewline
64 & 4279.9 & 4297.14 & 4242.49 & 54.6481 & -17.2398 \tabularnewline
65 & 4243.1 & 4261.52 & 4211.11 & 50.4097 & -18.4222 \tabularnewline
66 & 4199.1 & 4241.73 & 4178.94 & 62.7967 & -42.6342 \tabularnewline
67 & 4177.6 & 4170.17 & 4145.32 & 24.8534 & 7.42992 \tabularnewline
68 & 4141.7 & 4092.77 & 4110.02 & -17.2436 & 48.9269 \tabularnewline
69 & 4088.3 & 4069.12 & 4073.98 & -4.86024 & 19.1769 \tabularnewline
70 & 4021.4 & 3952.62 & 4037.96 & -85.3422 & 68.7797 \tabularnewline
71 & 3981.2 & 3965.54 & 4002.39 & -36.8477 & 15.6602 \tabularnewline
72 & 3937.2 & 3951.67 & 3968.42 & -16.7514 & -14.4694 \tabularnewline
73 & 3893.1 & 3891.67 & 3934.88 & -43.2024 & 1.42737 \tabularnewline
74 & 3864.7 & 3918.73 & 3901.19 & 17.5407 & -54.0282 \tabularnewline
75 & 3847.8 & 3862.14 & 3868.14 & -6.00098 & -14.3365 \tabularnewline
76 & 3840.8 & 3892.09 & 3837.44 & 54.6481 & -51.2898 \tabularnewline
77 & 3828.4 & 3859.53 & 3809.12 & 50.4097 & -31.1263 \tabularnewline
78 & 3798.6 & 3845.91 & 3783.12 & 62.7967 & -47.3134 \tabularnewline
79 & 3773 & 3772.4 & 3747.55 & 24.8534 & 0.600752 \tabularnewline
80 & 3737.8 & 3698.96 & 3716.21 & -17.2436 & 38.8352 \tabularnewline
81 & 3699 & 3697.88 & 3702.74 & -4.86024 & 1.12274 \tabularnewline
82 & 3674 & 3607.63 & 3692.97 & -85.3422 & 66.3714 \tabularnewline
83 & 3648.8 & 3649.05 & 3685.9 & -36.8477 & -0.24809 \tabularnewline
84 & 3645.6 & 3662.53 & 3679.28 & -16.7514 & -16.9319 \tabularnewline
85 & 3331 & 3630.01 & 3673.21 & -43.2024 & -299.01 \tabularnewline
86 & 3674.7 & 3687.08 & 3669.54 & 17.5407 & -12.3782 \tabularnewline
87 & 3714.5 & 3658.59 & 3664.59 & -6.00098 & 55.9093 \tabularnewline
88 & 3739.7 & 3715.27 & 3660.62 & 54.6481 & 24.4269 \tabularnewline
89 & 3759.7 & 3711.58 & 3661.17 & 50.4097 & 48.1237 \tabularnewline
90 & 3708.6 & 3726.63 & 3663.83 & 62.7967 & -18.03 \tabularnewline
91 & 3717.3 & 3706.15 & 3681.3 & 24.8534 & 11.1466 \tabularnewline
92 & 3705.3 & 3682.38 & 3699.62 & -17.2436 & 22.9227 \tabularnewline
93 & 3612.8 & 3698.79 & 3703.65 & -4.86024 & -85.9898 \tabularnewline
94 & 3665 & 3621.63 & 3706.97 & -85.3422 & 43.3672 \tabularnewline
95 & 3670.8 & 3673.17 & 3710.02 & -36.8477 & -2.36892 \tabularnewline
96 & 3687.6 & 3697.62 & 3714.38 & -16.7514 & -10.0236 \tabularnewline
97 & 3708.2 & 3675.74 & 3718.94 & -43.2024 & 32.4607 \tabularnewline
98 & 3737.2 & 3738.29 & 3720.75 & 17.5407 & -1.09068 \tabularnewline
99 & 3748.7 & 3716.76 & 3722.76 & -6.00098 & 31.9427 \tabularnewline
100 & 3785.3 & 3755.29 & 3700.64 & 54.6481 & 30.0144 \tabularnewline
101 & 3787.1 & 3728.73 & 3678.32 & 50.4097 & 58.3737 \tabularnewline
102 & 3785.8 & 3743.65 & 3680.85 & 62.7967 & 42.1533 \tabularnewline
103 & 3749.7 & 3708.08 & 3683.23 & 24.8534 & 41.6174 \tabularnewline
104 & 3716.3 & 3668.63 & 3685.87 & -17.2436 & 47.6727 \tabularnewline
105 & 3650 & 3680.59 & 3685.45 & -4.86024 & -30.5939 \tabularnewline
106 & 3096.9 & 3599.87 & 3685.21 & -85.3422 & -502.97 \tabularnewline
107 & 3703.2 & 3647.75 & 3684.6 & -36.8477 & 55.4477 \tabularnewline
108 & 3716 & 3667.35 & 3684.1 & -16.7514 & 48.6473 \tabularnewline
109 & 3736.9 & 3645.89 & 3689.09 & -43.2024 & 91.0149 \tabularnewline
110 & 3771.9 & 3709.05 & 3691.51 & 17.5407 & 62.851 \tabularnewline
111 & 3704 & 3685.76 & 3691.76 & -6.00098 & 18.2427 \tabularnewline
112 & 3824.2 & 3775.01 & 3720.36 & 54.6481 & 49.1936 \tabularnewline
113 & 3733.5 & 3800.38 & 3749.97 & 50.4097 & -66.8805 \tabularnewline
114 & 3827.5 & 3802.47 & 3739.67 & 62.7967 & 25.0325 \tabularnewline
115 & 3827.6 & 3753.64 & 3728.78 & 24.8534 & 73.9633 \tabularnewline
116 & 3696.5 & NA & NA & -17.2436 & NA \tabularnewline
117 & 3675.8 & NA & NA & -4.86024 & NA \tabularnewline
118 & 3757.5 & NA & NA & -85.3422 & NA \tabularnewline
119 & 3753.3 & NA & NA & -36.8477 & NA \tabularnewline
120 & 3418.7 & NA & NA & -16.7514 & NA \tabularnewline
121 & 3772.9 & NA & NA & -43.2024 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299465&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]5410.4[/C][C]NA[/C][C]NA[/C][C]-43.2024[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5432.2[/C][C]NA[/C][C]NA[/C][C]17.5407[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5452.9[/C][C]NA[/C][C]NA[/C][C]-6.00098[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5477.6[/C][C]NA[/C][C]NA[/C][C]54.6481[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5472.5[/C][C]NA[/C][C]NA[/C][C]50.4097[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5454.9[/C][C]NA[/C][C]NA[/C][C]62.7967[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5446[/C][C]5403.47[/C][C]5378.62[/C][C]24.8534[/C][C]42.5299[/C][/ROW]
[ROW][C]8[/C][C]5010.6[/C][C]5354.4[/C][C]5371.65[/C][C]-17.2436[/C][C]-343.802[/C][/ROW]
[ROW][C]9[/C][C]5395.9[/C][C]5359.05[/C][C]5363.91[/C][C]-4.86024[/C][C]36.8477[/C][/ROW]
[ROW][C]10[/C][C]5360[/C][C]5270.26[/C][C]5355.6[/C][C]-85.3422[/C][C]89.7422[/C][/ROW]
[ROW][C]11[/C][C]5336.9[/C][C]5308.8[/C][C]5345.65[/C][C]-36.8477[/C][C]28.0977[/C][/ROW]
[ROW][C]12[/C][C]5333.9[/C][C]5318.81[/C][C]5335.56[/C][C]-16.7514[/C][C]15.0931[/C][/ROW]
[ROW][C]13[/C][C]5329.6[/C][C]5269.49[/C][C]5312.69[/C][C]-43.2024[/C][C]60.1107[/C][/ROW]
[ROW][C]14[/C][C]5345.7[/C][C]5321.52[/C][C]5303.98[/C][C]17.5407[/C][C]24.1843[/C][/ROW]
[ROW][C]15[/C][C]5353.8[/C][C]5300.89[/C][C]5306.89[/C][C]-6.00098[/C][C]52.9135[/C][/ROW]
[ROW][C]16[/C][C]5377.2[/C][C]5344.45[/C][C]5289.8[/C][C]54.6481[/C][C]32.7519[/C][/ROW]
[ROW][C]17[/C][C]5334.1[/C][C]5314.86[/C][C]5264.45[/C][C]50.4097[/C][C]19.2445[/C][/ROW]
[ROW][C]18[/C][C]5351.1[/C][C]5301.38[/C][C]5238.59[/C][C]62.7967[/C][C]49.7158[/C][/ROW]
[ROW][C]19[/C][C]5001[/C][C]5241.4[/C][C]5216.55[/C][C]24.8534[/C][C]-240.399[/C][/ROW]
[ROW][C]20[/C][C]5246.4[/C][C]5176.48[/C][C]5193.72[/C][C]-17.2436[/C][C]69.9186[/C][/ROW]
[ROW][C]21[/C][C]5230[/C][C]5154.3[/C][C]5159.16[/C][C]-4.86024[/C][C]75.6977[/C][/ROW]
[ROW][C]22[/C][C]5115.8[/C][C]5038.17[/C][C]5123.51[/C][C]-85.3422[/C][C]77.6339[/C][/ROW]
[ROW][C]23[/C][C]4972.6[/C][C]5061.09[/C][C]5097.93[/C][C]-36.8477[/C][C]-88.4856[/C][/ROW]
[ROW][C]24[/C][C]5077.6[/C][C]5054.63[/C][C]5071.38[/C][C]-16.7514[/C][C]22.9723[/C][/ROW]
[ROW][C]25[/C][C]5056.9[/C][C]5013.85[/C][C]5057.05[/C][C]-43.2024[/C][C]43.0482[/C][/ROW]
[ROW][C]26[/C][C]5070.7[/C][C]5060.89[/C][C]5043.35[/C][C]17.5407[/C][C]9.80932[/C][/ROW]
[ROW][C]27[/C][C]4799.3[/C][C]5010.77[/C][C]5016.77[/C][C]-6.00098[/C][C]-211.466[/C][/ROW]
[ROW][C]28[/C][C]5076[/C][C]5046.82[/C][C]4992.18[/C][C]54.6481[/C][C]29.1769[/C][/ROW]
[ROW][C]29[/C][C]5021.5[/C][C]5026.11[/C][C]4975.7[/C][C]50.4097[/C][C]-4.60966[/C][/ROW]
[ROW][C]30[/C][C]5026.4[/C][C]5022.26[/C][C]4959.46[/C][C]62.7967[/C][C]4.1408[/C][/ROW]
[ROW][C]31[/C][C]4981.9[/C][C]4964.62[/C][C]4939.77[/C][C]24.8534[/C][C]17.2799[/C][/ROW]
[ROW][C]32[/C][C]4936.6[/C][C]4904.21[/C][C]4921.45[/C][C]-17.2436[/C][C]32.3894[/C][/ROW]
[ROW][C]33[/C][C]4901.8[/C][C]4908.67[/C][C]4913.53[/C][C]-4.86024[/C][C]-6.87309[/C][/ROW]
[ROW][C]34[/C][C]4853.8[/C][C]4818.68[/C][C]4904.02[/C][C]-85.3422[/C][C]35.1214[/C][/ROW]
[ROW][C]35[/C][C]4839.2[/C][C]4847.32[/C][C]4884.17[/C][C]-36.8477[/C][C]-8.12309[/C][/ROW]
[ROW][C]36[/C][C]4821.3[/C][C]4849.17[/C][C]4865.92[/C][C]-16.7514[/C][C]-27.8652[/C][/ROW]
[ROW][C]37[/C][C]4840.5[/C][C]4804.61[/C][C]4847.81[/C][C]-43.2024[/C][C]35.894[/C][/ROW]
[ROW][C]38[/C][C]4847.6[/C][C]4847.65[/C][C]4830.11[/C][C]17.5407[/C][C]-0.0490162[/C][/ROW]
[ROW][C]39[/C][C]4832.3[/C][C]4805.44[/C][C]4811.45[/C][C]-6.00098[/C][C]26.8552[/C][/ROW]
[ROW][C]40[/C][C]4814.7[/C][C]4847.27[/C][C]4792.62[/C][C]54.6481[/C][C]-32.5731[/C][/ROW]
[ROW][C]41[/C][C]4806.4[/C][C]4824.58[/C][C]4774.17[/C][C]50.4097[/C][C]-18.1763[/C][/ROW]
[ROW][C]42[/C][C]4803.4[/C][C]4818.55[/C][C]4755.75[/C][C]62.7967[/C][C]-15.1467[/C][/ROW]
[ROW][C]43[/C][C]4770.3[/C][C]4761.18[/C][C]4736.33[/C][C]24.8534[/C][C]9.11742[/C][/ROW]
[ROW][C]44[/C][C]4723.4[/C][C]4698.16[/C][C]4715.4[/C][C]-17.2436[/C][C]25.2436[/C][/ROW]
[ROW][C]45[/C][C]4667.1[/C][C]4690.36[/C][C]4695.22[/C][C]-4.86024[/C][C]-23.2564[/C][/ROW]
[ROW][C]46[/C][C]4636.8[/C][C]4588.89[/C][C]4674.23[/C][C]-85.3422[/C][C]47.9089[/C][/ROW]
[ROW][C]47[/C][C]4613.2[/C][C]4617.33[/C][C]4654.18[/C][C]-36.8477[/C][C]-4.12726[/C][/ROW]
[ROW][C]48[/C][C]4605.3[/C][C]4619.17[/C][C]4635.92[/C][C]-16.7514[/C][C]-13.8736[/C][/ROW]
[ROW][C]49[/C][C]4590.4[/C][C]4573.96[/C][C]4617.16[/C][C]-43.2024[/C][C]16.444[/C][/ROW]
[ROW][C]50[/C][C]4595.4[/C][C]4616.28[/C][C]4598.74[/C][C]17.5407[/C][C]-20.8782[/C][/ROW]
[ROW][C]51[/C][C]4600.1[/C][C]4574.38[/C][C]4580.38[/C][C]-6.00098[/C][C]25.7177[/C][/ROW]
[ROW][C]52[/C][C]4543.3[/C][C]4616.02[/C][C]4561.37[/C][C]54.6481[/C][C]-72.7231[/C][/ROW]
[ROW][C]53[/C][C]4596.4[/C][C]4591.19[/C][C]4540.78[/C][C]50.4097[/C][C]5.21117[/C][/ROW]
[ROW][C]54[/C][C]4575.4[/C][C]4581.58[/C][C]4518.78[/C][C]62.7967[/C][C]-6.18003[/C][/ROW]
[ROW][C]55[/C][C]4547.9[/C][C]4520.37[/C][C]4495.51[/C][C]24.8534[/C][C]27.5341[/C][/ROW]
[ROW][C]56[/C][C]4503.7[/C][C]4454.07[/C][C]4471.31[/C][C]-17.2436[/C][C]49.6311[/C][/ROW]
[ROW][C]57[/C][C]4446.3[/C][C]4440.69[/C][C]4445.55[/C][C]-4.86024[/C][C]5.60608[/C][/ROW]
[ROW][C]58[/C][C]4401.4[/C][C]4335.62[/C][C]4420.96[/C][C]-85.3422[/C][C]65.7839[/C][/ROW]
[ROW][C]59[/C][C]4354.3[/C][C]4358.41[/C][C]4395.26[/C][C]-36.8477[/C][C]-4.11476[/C][/ROW]
[ROW][C]60[/C][C]4336.3[/C][C]4348.11[/C][C]4364.86[/C][C]-16.7514[/C][C]-11.8111[/C][/ROW]
[ROW][C]61[/C][C]4300.9[/C][C]4290.55[/C][C]4333.75[/C][C]-43.2024[/C][C]10.3482[/C][/ROW]
[ROW][C]62[/C][C]4304.1[/C][C]4320.78[/C][C]4303.24[/C][C]17.5407[/C][C]-16.6823[/C][/ROW]
[ROW][C]63[/C][C]4273.2[/C][C]4267.24[/C][C]4273.24[/C][C]-6.00098[/C][C]5.95932[/C][/ROW]
[ROW][C]64[/C][C]4279.9[/C][C]4297.14[/C][C]4242.49[/C][C]54.6481[/C][C]-17.2398[/C][/ROW]
[ROW][C]65[/C][C]4243.1[/C][C]4261.52[/C][C]4211.11[/C][C]50.4097[/C][C]-18.4222[/C][/ROW]
[ROW][C]66[/C][C]4199.1[/C][C]4241.73[/C][C]4178.94[/C][C]62.7967[/C][C]-42.6342[/C][/ROW]
[ROW][C]67[/C][C]4177.6[/C][C]4170.17[/C][C]4145.32[/C][C]24.8534[/C][C]7.42992[/C][/ROW]
[ROW][C]68[/C][C]4141.7[/C][C]4092.77[/C][C]4110.02[/C][C]-17.2436[/C][C]48.9269[/C][/ROW]
[ROW][C]69[/C][C]4088.3[/C][C]4069.12[/C][C]4073.98[/C][C]-4.86024[/C][C]19.1769[/C][/ROW]
[ROW][C]70[/C][C]4021.4[/C][C]3952.62[/C][C]4037.96[/C][C]-85.3422[/C][C]68.7797[/C][/ROW]
[ROW][C]71[/C][C]3981.2[/C][C]3965.54[/C][C]4002.39[/C][C]-36.8477[/C][C]15.6602[/C][/ROW]
[ROW][C]72[/C][C]3937.2[/C][C]3951.67[/C][C]3968.42[/C][C]-16.7514[/C][C]-14.4694[/C][/ROW]
[ROW][C]73[/C][C]3893.1[/C][C]3891.67[/C][C]3934.88[/C][C]-43.2024[/C][C]1.42737[/C][/ROW]
[ROW][C]74[/C][C]3864.7[/C][C]3918.73[/C][C]3901.19[/C][C]17.5407[/C][C]-54.0282[/C][/ROW]
[ROW][C]75[/C][C]3847.8[/C][C]3862.14[/C][C]3868.14[/C][C]-6.00098[/C][C]-14.3365[/C][/ROW]
[ROW][C]76[/C][C]3840.8[/C][C]3892.09[/C][C]3837.44[/C][C]54.6481[/C][C]-51.2898[/C][/ROW]
[ROW][C]77[/C][C]3828.4[/C][C]3859.53[/C][C]3809.12[/C][C]50.4097[/C][C]-31.1263[/C][/ROW]
[ROW][C]78[/C][C]3798.6[/C][C]3845.91[/C][C]3783.12[/C][C]62.7967[/C][C]-47.3134[/C][/ROW]
[ROW][C]79[/C][C]3773[/C][C]3772.4[/C][C]3747.55[/C][C]24.8534[/C][C]0.600752[/C][/ROW]
[ROW][C]80[/C][C]3737.8[/C][C]3698.96[/C][C]3716.21[/C][C]-17.2436[/C][C]38.8352[/C][/ROW]
[ROW][C]81[/C][C]3699[/C][C]3697.88[/C][C]3702.74[/C][C]-4.86024[/C][C]1.12274[/C][/ROW]
[ROW][C]82[/C][C]3674[/C][C]3607.63[/C][C]3692.97[/C][C]-85.3422[/C][C]66.3714[/C][/ROW]
[ROW][C]83[/C][C]3648.8[/C][C]3649.05[/C][C]3685.9[/C][C]-36.8477[/C][C]-0.24809[/C][/ROW]
[ROW][C]84[/C][C]3645.6[/C][C]3662.53[/C][C]3679.28[/C][C]-16.7514[/C][C]-16.9319[/C][/ROW]
[ROW][C]85[/C][C]3331[/C][C]3630.01[/C][C]3673.21[/C][C]-43.2024[/C][C]-299.01[/C][/ROW]
[ROW][C]86[/C][C]3674.7[/C][C]3687.08[/C][C]3669.54[/C][C]17.5407[/C][C]-12.3782[/C][/ROW]
[ROW][C]87[/C][C]3714.5[/C][C]3658.59[/C][C]3664.59[/C][C]-6.00098[/C][C]55.9093[/C][/ROW]
[ROW][C]88[/C][C]3739.7[/C][C]3715.27[/C][C]3660.62[/C][C]54.6481[/C][C]24.4269[/C][/ROW]
[ROW][C]89[/C][C]3759.7[/C][C]3711.58[/C][C]3661.17[/C][C]50.4097[/C][C]48.1237[/C][/ROW]
[ROW][C]90[/C][C]3708.6[/C][C]3726.63[/C][C]3663.83[/C][C]62.7967[/C][C]-18.03[/C][/ROW]
[ROW][C]91[/C][C]3717.3[/C][C]3706.15[/C][C]3681.3[/C][C]24.8534[/C][C]11.1466[/C][/ROW]
[ROW][C]92[/C][C]3705.3[/C][C]3682.38[/C][C]3699.62[/C][C]-17.2436[/C][C]22.9227[/C][/ROW]
[ROW][C]93[/C][C]3612.8[/C][C]3698.79[/C][C]3703.65[/C][C]-4.86024[/C][C]-85.9898[/C][/ROW]
[ROW][C]94[/C][C]3665[/C][C]3621.63[/C][C]3706.97[/C][C]-85.3422[/C][C]43.3672[/C][/ROW]
[ROW][C]95[/C][C]3670.8[/C][C]3673.17[/C][C]3710.02[/C][C]-36.8477[/C][C]-2.36892[/C][/ROW]
[ROW][C]96[/C][C]3687.6[/C][C]3697.62[/C][C]3714.38[/C][C]-16.7514[/C][C]-10.0236[/C][/ROW]
[ROW][C]97[/C][C]3708.2[/C][C]3675.74[/C][C]3718.94[/C][C]-43.2024[/C][C]32.4607[/C][/ROW]
[ROW][C]98[/C][C]3737.2[/C][C]3738.29[/C][C]3720.75[/C][C]17.5407[/C][C]-1.09068[/C][/ROW]
[ROW][C]99[/C][C]3748.7[/C][C]3716.76[/C][C]3722.76[/C][C]-6.00098[/C][C]31.9427[/C][/ROW]
[ROW][C]100[/C][C]3785.3[/C][C]3755.29[/C][C]3700.64[/C][C]54.6481[/C][C]30.0144[/C][/ROW]
[ROW][C]101[/C][C]3787.1[/C][C]3728.73[/C][C]3678.32[/C][C]50.4097[/C][C]58.3737[/C][/ROW]
[ROW][C]102[/C][C]3785.8[/C][C]3743.65[/C][C]3680.85[/C][C]62.7967[/C][C]42.1533[/C][/ROW]
[ROW][C]103[/C][C]3749.7[/C][C]3708.08[/C][C]3683.23[/C][C]24.8534[/C][C]41.6174[/C][/ROW]
[ROW][C]104[/C][C]3716.3[/C][C]3668.63[/C][C]3685.87[/C][C]-17.2436[/C][C]47.6727[/C][/ROW]
[ROW][C]105[/C][C]3650[/C][C]3680.59[/C][C]3685.45[/C][C]-4.86024[/C][C]-30.5939[/C][/ROW]
[ROW][C]106[/C][C]3096.9[/C][C]3599.87[/C][C]3685.21[/C][C]-85.3422[/C][C]-502.97[/C][/ROW]
[ROW][C]107[/C][C]3703.2[/C][C]3647.75[/C][C]3684.6[/C][C]-36.8477[/C][C]55.4477[/C][/ROW]
[ROW][C]108[/C][C]3716[/C][C]3667.35[/C][C]3684.1[/C][C]-16.7514[/C][C]48.6473[/C][/ROW]
[ROW][C]109[/C][C]3736.9[/C][C]3645.89[/C][C]3689.09[/C][C]-43.2024[/C][C]91.0149[/C][/ROW]
[ROW][C]110[/C][C]3771.9[/C][C]3709.05[/C][C]3691.51[/C][C]17.5407[/C][C]62.851[/C][/ROW]
[ROW][C]111[/C][C]3704[/C][C]3685.76[/C][C]3691.76[/C][C]-6.00098[/C][C]18.2427[/C][/ROW]
[ROW][C]112[/C][C]3824.2[/C][C]3775.01[/C][C]3720.36[/C][C]54.6481[/C][C]49.1936[/C][/ROW]
[ROW][C]113[/C][C]3733.5[/C][C]3800.38[/C][C]3749.97[/C][C]50.4097[/C][C]-66.8805[/C][/ROW]
[ROW][C]114[/C][C]3827.5[/C][C]3802.47[/C][C]3739.67[/C][C]62.7967[/C][C]25.0325[/C][/ROW]
[ROW][C]115[/C][C]3827.6[/C][C]3753.64[/C][C]3728.78[/C][C]24.8534[/C][C]73.9633[/C][/ROW]
[ROW][C]116[/C][C]3696.5[/C][C]NA[/C][C]NA[/C][C]-17.2436[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]3675.8[/C][C]NA[/C][C]NA[/C][C]-4.86024[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]3757.5[/C][C]NA[/C][C]NA[/C][C]-85.3422[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]3753.3[/C][C]NA[/C][C]NA[/C][C]-36.8477[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]3418.7[/C][C]NA[/C][C]NA[/C][C]-16.7514[/C][C]NA[/C][/ROW]
[ROW][C]121[/C][C]3772.9[/C][C]NA[/C][C]NA[/C][C]-43.2024[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299465&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299465&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
15410.4NANA-43.2024NA
25432.2NANA17.5407NA
35452.9NANA-6.00098NA
45477.6NANA54.6481NA
55472.5NANA50.4097NA
65454.9NANA62.7967NA
754465403.475378.6224.853442.5299
85010.65354.45371.65-17.2436-343.802
95395.95359.055363.91-4.8602436.8477
1053605270.265355.6-85.342289.7422
115336.95308.85345.65-36.847728.0977
125333.95318.815335.56-16.751415.0931
135329.65269.495312.69-43.202460.1107
145345.75321.525303.9817.540724.1843
155353.85300.895306.89-6.0009852.9135
165377.25344.455289.854.648132.7519
175334.15314.865264.4550.409719.2445
185351.15301.385238.5962.796749.7158
1950015241.45216.5524.8534-240.399
205246.45176.485193.72-17.243669.9186
2152305154.35159.16-4.8602475.6977
225115.85038.175123.51-85.342277.6339
234972.65061.095097.93-36.8477-88.4856
245077.65054.635071.38-16.751422.9723
255056.95013.855057.05-43.202443.0482
265070.75060.895043.3517.54079.80932
274799.35010.775016.77-6.00098-211.466
2850765046.824992.1854.648129.1769
295021.55026.114975.750.4097-4.60966
305026.45022.264959.4662.79674.1408
314981.94964.624939.7724.853417.2799
324936.64904.214921.45-17.243632.3894
334901.84908.674913.53-4.86024-6.87309
344853.84818.684904.02-85.342235.1214
354839.24847.324884.17-36.8477-8.12309
364821.34849.174865.92-16.7514-27.8652
374840.54804.614847.81-43.202435.894
384847.64847.654830.1117.5407-0.0490162
394832.34805.444811.45-6.0009826.8552
404814.74847.274792.6254.6481-32.5731
414806.44824.584774.1750.4097-18.1763
424803.44818.554755.7562.7967-15.1467
434770.34761.184736.3324.85349.11742
444723.44698.164715.4-17.243625.2436
454667.14690.364695.22-4.86024-23.2564
464636.84588.894674.23-85.342247.9089
474613.24617.334654.18-36.8477-4.12726
484605.34619.174635.92-16.7514-13.8736
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1143827.53802.473739.6762.796725.0325
1153827.63753.643728.7824.853473.9633
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1213772.9NANA-43.2024NA



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