Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 12 Dec 2016 19:36:36 +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/12/t1481567816xkz1vv4qnyhr3p1.htm/, Retrieved Fri, 03 May 2024 18:30:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298958, Retrieved Fri, 03 May 2024 18:30:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [classical decompo...] [2016-12-12 18:36:36] [130d73899007e5ff8a4f636b9bcfb397] [Current]
Feedback Forum

Post a new message
Dataseries X:
5290
5135
5075
5115
5115
5115
5230
5305
5360
5415
5370
5355
5595
5485
5510
5565
5665
5690
5750
5690
5720
5530
5495
5475
5455
5500
5495
5485
5495
5500
5430
5420
5455
5405
5300
5470
5440
5350
5250
5100
5065
4980
4970
4910
4840
4850
4910
4895
4955
4960
4940
4905
4925
4960
4925
5025
5045
5090
5120
5145
5095
5075
5125
5075
5100
5085
5065
5090
5020
5030
5000
5030
5015
4955
4940
5060
5070
5005
4945
5015
5035
4985
5020
4920
5125
5080
5060
5095
5105
5105
5115
5070
5115
5150
5115
5060
5075
5155
5120
5030
4995
5035
4970
4970
4975
4965
4915
4910
4895
4880
4910
4935
4975
4895
4940
4880




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=298958&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=298958&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298958&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
15290NANA27.1916NA
25135NANA7.16845NA
35075NANA2.97574NA
45115NANA-8.3003NA
55115NANA9.53824NA
65115NANA6.72574NA
752305240.065252.71-12.6464-10.062
853055280.9252800.91845124.0815
953605323.355312.7110.640736.651
1054155345.715349.58-3.8732269.2899
1153705369.415391.25-21.83620.586179
1253555419.625438.12-18.5028-64.6222
1355955510.945483.7527.191684.0584
1454855528.635521.467.16845-43.6268
1555105555.485552.52.97574-45.4757
1655655563.995572.29-8.30031.00863
1756655591.835582.299.5382473.1701
1856905599.235592.56.7257490.7743
1957505579.025591.67-12.6464170.98
2056905587.385586.460.918451102.623
2157205597.15586.4610.6407122.901
2255305578.635582.5-3.87322-48.6268
2354955550.255572.08-21.8362-55.2472
2454755538.585557.08-18.5028-63.5805
2554555563.025535.8327.1916-108.025
2655005518.425511.257.16845-18.4185
2754955491.935488.962.975743.06592
2854855464.415472.71-8.300320.592
2954955468.915459.379.5382426.0868
3055005457.775451.046.7257442.2326
3154305437.565450.21-12.6464-7.56197
3254205444.255443.330.918451-24.2518
3354555437.525426.8710.640717.4843
3454055396.755400.62-3.873228.24822
3553005344.835366.67-21.8362-44.8305
3654705308.585327.08-18.5028161.42
3754405313.445286.2527.1916126.558
38535052535245.837.1684596.9982
3952505201.935198.962.9757448.0659
4051005141.915150.21-8.3003-41.908
4150655120.375110.839.53824-55.3716
4249805077.355070.626.72574-97.3507
4349705013.815026.46-12.6464-43.812
4449104990.9249900.918451-80.9185
4548404971.474960.8310.6407-131.474
4648504935.924939.79-3.87322-85.9185
47491049044925.83-21.83626.00285
4848954900.664919.17-18.5028-5.66382
4949554943.654916.4627.191611.3501
5049604926.544919.377.1684533.4565
5149404935.684932.712.975744.31592
5249054942.954951.25-8.3003-37.9497
5349254979.5449709.53824-54.5382
5449604995.894989.176.72574-35.8924
5549254992.775005.42-12.6464-67.7703
5650255016.965016.040.9184518.03988
5750455039.185028.5410.64075.81766
5850905039.465043.33-3.8732250.5399
5951205035.875057.71-21.836284.1278
6051455051.715070.21-18.502893.2945
6150955108.445081.2527.1916-13.4416
6250755096.965089.797.16845-21.9601
6351255094.435091.462.9757430.5659
6450755079.625087.92-8.3003-4.61637
6551005089.955080.429.5382410.0451
6650855077.355070.626.725747.64926
6750655049.855062.5-12.646415.1464
6850905055.095054.170.91845134.9149
6950205052.15041.4610.6407-32.099
7050305029.255033.12-3.873220.748216
7150005009.415031.25-21.8362-9.41382
7250305008.165026.67-18.502821.8362
7350155045.525018.3327.1916-30.5249
7449555017.385010.217.16845-62.3768
7549405010.685007.712.97574-70.6841
7650604998.165006.46-8.300361.842
7750705014.955005.429.5382455.0451
7850055008.395001.676.72574-3.39241
7949454989.025001.67-12.6464-44.0203
8050155012.385011.460.9184512.62322
8150355032.315021.6710.64072.69266
8249855024.255028.12-3.87322-39.2518
8350205009.215031.04-21.836210.7945
8449205018.165036.67-18.5028-98.1638
8551255075.115047.9227.191649.8917
8650805064.465057.297.1684515.5399
8750605065.895062.922.97574-5.89241
8850955064.825073.12-8.300330.1753
8951055093.55083.969.5382411.5034
9051055100.485093.756.725744.52426
9151155084.855097.5-12.646430.1464
9250705099.465098.540.918451-29.4601
9351155114.815104.1710.64070.19266
9451505100.095103.96-3.8732249.9149
9551155074.835096.67-21.836240.1695
9650605070.665089.17-18.5028-10.6638
9750755107.45080.2127.1916-32.3999
9851555077.1750707.1684577.8315
9951205062.9850602.9757457.0243
10050305038.165046.46-8.3003-8.15803
10149955039.955030.429.53824-44.9549
10250355022.565015.836.7257412.4409
10349704989.445002.08-12.6464-19.437
10449704984.044983.130.918451-14.0435
10549754973.564962.9210.64071.44266
10649654946.344950.21-3.8732218.6649
10749154923.584945.42-21.8362-8.58049
10849104920.254938.75-18.5028-10.2472
10948954958.864931.6727.1916-63.8583
11048804933.844926.677.16845-53.8351
1114910NANA2.97574NA
1124935NANA-8.3003NA
1134975NANA9.53824NA
1144895NANA6.72574NA
1154940NANA-12.6464NA
1164880NANA0.918451NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5290 & NA & NA & 27.1916 & NA \tabularnewline
2 & 5135 & NA & NA & 7.16845 & NA \tabularnewline
3 & 5075 & NA & NA & 2.97574 & NA \tabularnewline
4 & 5115 & NA & NA & -8.3003 & NA \tabularnewline
5 & 5115 & NA & NA & 9.53824 & NA \tabularnewline
6 & 5115 & NA & NA & 6.72574 & NA \tabularnewline
7 & 5230 & 5240.06 & 5252.71 & -12.6464 & -10.062 \tabularnewline
8 & 5305 & 5280.92 & 5280 & 0.918451 & 24.0815 \tabularnewline
9 & 5360 & 5323.35 & 5312.71 & 10.6407 & 36.651 \tabularnewline
10 & 5415 & 5345.71 & 5349.58 & -3.87322 & 69.2899 \tabularnewline
11 & 5370 & 5369.41 & 5391.25 & -21.8362 & 0.586179 \tabularnewline
12 & 5355 & 5419.62 & 5438.12 & -18.5028 & -64.6222 \tabularnewline
13 & 5595 & 5510.94 & 5483.75 & 27.1916 & 84.0584 \tabularnewline
14 & 5485 & 5528.63 & 5521.46 & 7.16845 & -43.6268 \tabularnewline
15 & 5510 & 5555.48 & 5552.5 & 2.97574 & -45.4757 \tabularnewline
16 & 5565 & 5563.99 & 5572.29 & -8.3003 & 1.00863 \tabularnewline
17 & 5665 & 5591.83 & 5582.29 & 9.53824 & 73.1701 \tabularnewline
18 & 5690 & 5599.23 & 5592.5 & 6.72574 & 90.7743 \tabularnewline
19 & 5750 & 5579.02 & 5591.67 & -12.6464 & 170.98 \tabularnewline
20 & 5690 & 5587.38 & 5586.46 & 0.918451 & 102.623 \tabularnewline
21 & 5720 & 5597.1 & 5586.46 & 10.6407 & 122.901 \tabularnewline
22 & 5530 & 5578.63 & 5582.5 & -3.87322 & -48.6268 \tabularnewline
23 & 5495 & 5550.25 & 5572.08 & -21.8362 & -55.2472 \tabularnewline
24 & 5475 & 5538.58 & 5557.08 & -18.5028 & -63.5805 \tabularnewline
25 & 5455 & 5563.02 & 5535.83 & 27.1916 & -108.025 \tabularnewline
26 & 5500 & 5518.42 & 5511.25 & 7.16845 & -18.4185 \tabularnewline
27 & 5495 & 5491.93 & 5488.96 & 2.97574 & 3.06592 \tabularnewline
28 & 5485 & 5464.41 & 5472.71 & -8.3003 & 20.592 \tabularnewline
29 & 5495 & 5468.91 & 5459.37 & 9.53824 & 26.0868 \tabularnewline
30 & 5500 & 5457.77 & 5451.04 & 6.72574 & 42.2326 \tabularnewline
31 & 5430 & 5437.56 & 5450.21 & -12.6464 & -7.56197 \tabularnewline
32 & 5420 & 5444.25 & 5443.33 & 0.918451 & -24.2518 \tabularnewline
33 & 5455 & 5437.52 & 5426.87 & 10.6407 & 17.4843 \tabularnewline
34 & 5405 & 5396.75 & 5400.62 & -3.87322 & 8.24822 \tabularnewline
35 & 5300 & 5344.83 & 5366.67 & -21.8362 & -44.8305 \tabularnewline
36 & 5470 & 5308.58 & 5327.08 & -18.5028 & 161.42 \tabularnewline
37 & 5440 & 5313.44 & 5286.25 & 27.1916 & 126.558 \tabularnewline
38 & 5350 & 5253 & 5245.83 & 7.16845 & 96.9982 \tabularnewline
39 & 5250 & 5201.93 & 5198.96 & 2.97574 & 48.0659 \tabularnewline
40 & 5100 & 5141.91 & 5150.21 & -8.3003 & -41.908 \tabularnewline
41 & 5065 & 5120.37 & 5110.83 & 9.53824 & -55.3716 \tabularnewline
42 & 4980 & 5077.35 & 5070.62 & 6.72574 & -97.3507 \tabularnewline
43 & 4970 & 5013.81 & 5026.46 & -12.6464 & -43.812 \tabularnewline
44 & 4910 & 4990.92 & 4990 & 0.918451 & -80.9185 \tabularnewline
45 & 4840 & 4971.47 & 4960.83 & 10.6407 & -131.474 \tabularnewline
46 & 4850 & 4935.92 & 4939.79 & -3.87322 & -85.9185 \tabularnewline
47 & 4910 & 4904 & 4925.83 & -21.8362 & 6.00285 \tabularnewline
48 & 4895 & 4900.66 & 4919.17 & -18.5028 & -5.66382 \tabularnewline
49 & 4955 & 4943.65 & 4916.46 & 27.1916 & 11.3501 \tabularnewline
50 & 4960 & 4926.54 & 4919.37 & 7.16845 & 33.4565 \tabularnewline
51 & 4940 & 4935.68 & 4932.71 & 2.97574 & 4.31592 \tabularnewline
52 & 4905 & 4942.95 & 4951.25 & -8.3003 & -37.9497 \tabularnewline
53 & 4925 & 4979.54 & 4970 & 9.53824 & -54.5382 \tabularnewline
54 & 4960 & 4995.89 & 4989.17 & 6.72574 & -35.8924 \tabularnewline
55 & 4925 & 4992.77 & 5005.42 & -12.6464 & -67.7703 \tabularnewline
56 & 5025 & 5016.96 & 5016.04 & 0.918451 & 8.03988 \tabularnewline
57 & 5045 & 5039.18 & 5028.54 & 10.6407 & 5.81766 \tabularnewline
58 & 5090 & 5039.46 & 5043.33 & -3.87322 & 50.5399 \tabularnewline
59 & 5120 & 5035.87 & 5057.71 & -21.8362 & 84.1278 \tabularnewline
60 & 5145 & 5051.71 & 5070.21 & -18.5028 & 93.2945 \tabularnewline
61 & 5095 & 5108.44 & 5081.25 & 27.1916 & -13.4416 \tabularnewline
62 & 5075 & 5096.96 & 5089.79 & 7.16845 & -21.9601 \tabularnewline
63 & 5125 & 5094.43 & 5091.46 & 2.97574 & 30.5659 \tabularnewline
64 & 5075 & 5079.62 & 5087.92 & -8.3003 & -4.61637 \tabularnewline
65 & 5100 & 5089.95 & 5080.42 & 9.53824 & 10.0451 \tabularnewline
66 & 5085 & 5077.35 & 5070.62 & 6.72574 & 7.64926 \tabularnewline
67 & 5065 & 5049.85 & 5062.5 & -12.6464 & 15.1464 \tabularnewline
68 & 5090 & 5055.09 & 5054.17 & 0.918451 & 34.9149 \tabularnewline
69 & 5020 & 5052.1 & 5041.46 & 10.6407 & -32.099 \tabularnewline
70 & 5030 & 5029.25 & 5033.12 & -3.87322 & 0.748216 \tabularnewline
71 & 5000 & 5009.41 & 5031.25 & -21.8362 & -9.41382 \tabularnewline
72 & 5030 & 5008.16 & 5026.67 & -18.5028 & 21.8362 \tabularnewline
73 & 5015 & 5045.52 & 5018.33 & 27.1916 & -30.5249 \tabularnewline
74 & 4955 & 5017.38 & 5010.21 & 7.16845 & -62.3768 \tabularnewline
75 & 4940 & 5010.68 & 5007.71 & 2.97574 & -70.6841 \tabularnewline
76 & 5060 & 4998.16 & 5006.46 & -8.3003 & 61.842 \tabularnewline
77 & 5070 & 5014.95 & 5005.42 & 9.53824 & 55.0451 \tabularnewline
78 & 5005 & 5008.39 & 5001.67 & 6.72574 & -3.39241 \tabularnewline
79 & 4945 & 4989.02 & 5001.67 & -12.6464 & -44.0203 \tabularnewline
80 & 5015 & 5012.38 & 5011.46 & 0.918451 & 2.62322 \tabularnewline
81 & 5035 & 5032.31 & 5021.67 & 10.6407 & 2.69266 \tabularnewline
82 & 4985 & 5024.25 & 5028.12 & -3.87322 & -39.2518 \tabularnewline
83 & 5020 & 5009.21 & 5031.04 & -21.8362 & 10.7945 \tabularnewline
84 & 4920 & 5018.16 & 5036.67 & -18.5028 & -98.1638 \tabularnewline
85 & 5125 & 5075.11 & 5047.92 & 27.1916 & 49.8917 \tabularnewline
86 & 5080 & 5064.46 & 5057.29 & 7.16845 & 15.5399 \tabularnewline
87 & 5060 & 5065.89 & 5062.92 & 2.97574 & -5.89241 \tabularnewline
88 & 5095 & 5064.82 & 5073.12 & -8.3003 & 30.1753 \tabularnewline
89 & 5105 & 5093.5 & 5083.96 & 9.53824 & 11.5034 \tabularnewline
90 & 5105 & 5100.48 & 5093.75 & 6.72574 & 4.52426 \tabularnewline
91 & 5115 & 5084.85 & 5097.5 & -12.6464 & 30.1464 \tabularnewline
92 & 5070 & 5099.46 & 5098.54 & 0.918451 & -29.4601 \tabularnewline
93 & 5115 & 5114.81 & 5104.17 & 10.6407 & 0.19266 \tabularnewline
94 & 5150 & 5100.09 & 5103.96 & -3.87322 & 49.9149 \tabularnewline
95 & 5115 & 5074.83 & 5096.67 & -21.8362 & 40.1695 \tabularnewline
96 & 5060 & 5070.66 & 5089.17 & -18.5028 & -10.6638 \tabularnewline
97 & 5075 & 5107.4 & 5080.21 & 27.1916 & -32.3999 \tabularnewline
98 & 5155 & 5077.17 & 5070 & 7.16845 & 77.8315 \tabularnewline
99 & 5120 & 5062.98 & 5060 & 2.97574 & 57.0243 \tabularnewline
100 & 5030 & 5038.16 & 5046.46 & -8.3003 & -8.15803 \tabularnewline
101 & 4995 & 5039.95 & 5030.42 & 9.53824 & -44.9549 \tabularnewline
102 & 5035 & 5022.56 & 5015.83 & 6.72574 & 12.4409 \tabularnewline
103 & 4970 & 4989.44 & 5002.08 & -12.6464 & -19.437 \tabularnewline
104 & 4970 & 4984.04 & 4983.13 & 0.918451 & -14.0435 \tabularnewline
105 & 4975 & 4973.56 & 4962.92 & 10.6407 & 1.44266 \tabularnewline
106 & 4965 & 4946.34 & 4950.21 & -3.87322 & 18.6649 \tabularnewline
107 & 4915 & 4923.58 & 4945.42 & -21.8362 & -8.58049 \tabularnewline
108 & 4910 & 4920.25 & 4938.75 & -18.5028 & -10.2472 \tabularnewline
109 & 4895 & 4958.86 & 4931.67 & 27.1916 & -63.8583 \tabularnewline
110 & 4880 & 4933.84 & 4926.67 & 7.16845 & -53.8351 \tabularnewline
111 & 4910 & NA & NA & 2.97574 & NA \tabularnewline
112 & 4935 & NA & NA & -8.3003 & NA \tabularnewline
113 & 4975 & NA & NA & 9.53824 & NA \tabularnewline
114 & 4895 & NA & NA & 6.72574 & NA \tabularnewline
115 & 4940 & NA & NA & -12.6464 & NA \tabularnewline
116 & 4880 & NA & NA & 0.918451 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298958&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]5290[/C][C]NA[/C][C]NA[/C][C]27.1916[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5135[/C][C]NA[/C][C]NA[/C][C]7.16845[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5075[/C][C]NA[/C][C]NA[/C][C]2.97574[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5115[/C][C]NA[/C][C]NA[/C][C]-8.3003[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5115[/C][C]NA[/C][C]NA[/C][C]9.53824[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5115[/C][C]NA[/C][C]NA[/C][C]6.72574[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5230[/C][C]5240.06[/C][C]5252.71[/C][C]-12.6464[/C][C]-10.062[/C][/ROW]
[ROW][C]8[/C][C]5305[/C][C]5280.92[/C][C]5280[/C][C]0.918451[/C][C]24.0815[/C][/ROW]
[ROW][C]9[/C][C]5360[/C][C]5323.35[/C][C]5312.71[/C][C]10.6407[/C][C]36.651[/C][/ROW]
[ROW][C]10[/C][C]5415[/C][C]5345.71[/C][C]5349.58[/C][C]-3.87322[/C][C]69.2899[/C][/ROW]
[ROW][C]11[/C][C]5370[/C][C]5369.41[/C][C]5391.25[/C][C]-21.8362[/C][C]0.586179[/C][/ROW]
[ROW][C]12[/C][C]5355[/C][C]5419.62[/C][C]5438.12[/C][C]-18.5028[/C][C]-64.6222[/C][/ROW]
[ROW][C]13[/C][C]5595[/C][C]5510.94[/C][C]5483.75[/C][C]27.1916[/C][C]84.0584[/C][/ROW]
[ROW][C]14[/C][C]5485[/C][C]5528.63[/C][C]5521.46[/C][C]7.16845[/C][C]-43.6268[/C][/ROW]
[ROW][C]15[/C][C]5510[/C][C]5555.48[/C][C]5552.5[/C][C]2.97574[/C][C]-45.4757[/C][/ROW]
[ROW][C]16[/C][C]5565[/C][C]5563.99[/C][C]5572.29[/C][C]-8.3003[/C][C]1.00863[/C][/ROW]
[ROW][C]17[/C][C]5665[/C][C]5591.83[/C][C]5582.29[/C][C]9.53824[/C][C]73.1701[/C][/ROW]
[ROW][C]18[/C][C]5690[/C][C]5599.23[/C][C]5592.5[/C][C]6.72574[/C][C]90.7743[/C][/ROW]
[ROW][C]19[/C][C]5750[/C][C]5579.02[/C][C]5591.67[/C][C]-12.6464[/C][C]170.98[/C][/ROW]
[ROW][C]20[/C][C]5690[/C][C]5587.38[/C][C]5586.46[/C][C]0.918451[/C][C]102.623[/C][/ROW]
[ROW][C]21[/C][C]5720[/C][C]5597.1[/C][C]5586.46[/C][C]10.6407[/C][C]122.901[/C][/ROW]
[ROW][C]22[/C][C]5530[/C][C]5578.63[/C][C]5582.5[/C][C]-3.87322[/C][C]-48.6268[/C][/ROW]
[ROW][C]23[/C][C]5495[/C][C]5550.25[/C][C]5572.08[/C][C]-21.8362[/C][C]-55.2472[/C][/ROW]
[ROW][C]24[/C][C]5475[/C][C]5538.58[/C][C]5557.08[/C][C]-18.5028[/C][C]-63.5805[/C][/ROW]
[ROW][C]25[/C][C]5455[/C][C]5563.02[/C][C]5535.83[/C][C]27.1916[/C][C]-108.025[/C][/ROW]
[ROW][C]26[/C][C]5500[/C][C]5518.42[/C][C]5511.25[/C][C]7.16845[/C][C]-18.4185[/C][/ROW]
[ROW][C]27[/C][C]5495[/C][C]5491.93[/C][C]5488.96[/C][C]2.97574[/C][C]3.06592[/C][/ROW]
[ROW][C]28[/C][C]5485[/C][C]5464.41[/C][C]5472.71[/C][C]-8.3003[/C][C]20.592[/C][/ROW]
[ROW][C]29[/C][C]5495[/C][C]5468.91[/C][C]5459.37[/C][C]9.53824[/C][C]26.0868[/C][/ROW]
[ROW][C]30[/C][C]5500[/C][C]5457.77[/C][C]5451.04[/C][C]6.72574[/C][C]42.2326[/C][/ROW]
[ROW][C]31[/C][C]5430[/C][C]5437.56[/C][C]5450.21[/C][C]-12.6464[/C][C]-7.56197[/C][/ROW]
[ROW][C]32[/C][C]5420[/C][C]5444.25[/C][C]5443.33[/C][C]0.918451[/C][C]-24.2518[/C][/ROW]
[ROW][C]33[/C][C]5455[/C][C]5437.52[/C][C]5426.87[/C][C]10.6407[/C][C]17.4843[/C][/ROW]
[ROW][C]34[/C][C]5405[/C][C]5396.75[/C][C]5400.62[/C][C]-3.87322[/C][C]8.24822[/C][/ROW]
[ROW][C]35[/C][C]5300[/C][C]5344.83[/C][C]5366.67[/C][C]-21.8362[/C][C]-44.8305[/C][/ROW]
[ROW][C]36[/C][C]5470[/C][C]5308.58[/C][C]5327.08[/C][C]-18.5028[/C][C]161.42[/C][/ROW]
[ROW][C]37[/C][C]5440[/C][C]5313.44[/C][C]5286.25[/C][C]27.1916[/C][C]126.558[/C][/ROW]
[ROW][C]38[/C][C]5350[/C][C]5253[/C][C]5245.83[/C][C]7.16845[/C][C]96.9982[/C][/ROW]
[ROW][C]39[/C][C]5250[/C][C]5201.93[/C][C]5198.96[/C][C]2.97574[/C][C]48.0659[/C][/ROW]
[ROW][C]40[/C][C]5100[/C][C]5141.91[/C][C]5150.21[/C][C]-8.3003[/C][C]-41.908[/C][/ROW]
[ROW][C]41[/C][C]5065[/C][C]5120.37[/C][C]5110.83[/C][C]9.53824[/C][C]-55.3716[/C][/ROW]
[ROW][C]42[/C][C]4980[/C][C]5077.35[/C][C]5070.62[/C][C]6.72574[/C][C]-97.3507[/C][/ROW]
[ROW][C]43[/C][C]4970[/C][C]5013.81[/C][C]5026.46[/C][C]-12.6464[/C][C]-43.812[/C][/ROW]
[ROW][C]44[/C][C]4910[/C][C]4990.92[/C][C]4990[/C][C]0.918451[/C][C]-80.9185[/C][/ROW]
[ROW][C]45[/C][C]4840[/C][C]4971.47[/C][C]4960.83[/C][C]10.6407[/C][C]-131.474[/C][/ROW]
[ROW][C]46[/C][C]4850[/C][C]4935.92[/C][C]4939.79[/C][C]-3.87322[/C][C]-85.9185[/C][/ROW]
[ROW][C]47[/C][C]4910[/C][C]4904[/C][C]4925.83[/C][C]-21.8362[/C][C]6.00285[/C][/ROW]
[ROW][C]48[/C][C]4895[/C][C]4900.66[/C][C]4919.17[/C][C]-18.5028[/C][C]-5.66382[/C][/ROW]
[ROW][C]49[/C][C]4955[/C][C]4943.65[/C][C]4916.46[/C][C]27.1916[/C][C]11.3501[/C][/ROW]
[ROW][C]50[/C][C]4960[/C][C]4926.54[/C][C]4919.37[/C][C]7.16845[/C][C]33.4565[/C][/ROW]
[ROW][C]51[/C][C]4940[/C][C]4935.68[/C][C]4932.71[/C][C]2.97574[/C][C]4.31592[/C][/ROW]
[ROW][C]52[/C][C]4905[/C][C]4942.95[/C][C]4951.25[/C][C]-8.3003[/C][C]-37.9497[/C][/ROW]
[ROW][C]53[/C][C]4925[/C][C]4979.54[/C][C]4970[/C][C]9.53824[/C][C]-54.5382[/C][/ROW]
[ROW][C]54[/C][C]4960[/C][C]4995.89[/C][C]4989.17[/C][C]6.72574[/C][C]-35.8924[/C][/ROW]
[ROW][C]55[/C][C]4925[/C][C]4992.77[/C][C]5005.42[/C][C]-12.6464[/C][C]-67.7703[/C][/ROW]
[ROW][C]56[/C][C]5025[/C][C]5016.96[/C][C]5016.04[/C][C]0.918451[/C][C]8.03988[/C][/ROW]
[ROW][C]57[/C][C]5045[/C][C]5039.18[/C][C]5028.54[/C][C]10.6407[/C][C]5.81766[/C][/ROW]
[ROW][C]58[/C][C]5090[/C][C]5039.46[/C][C]5043.33[/C][C]-3.87322[/C][C]50.5399[/C][/ROW]
[ROW][C]59[/C][C]5120[/C][C]5035.87[/C][C]5057.71[/C][C]-21.8362[/C][C]84.1278[/C][/ROW]
[ROW][C]60[/C][C]5145[/C][C]5051.71[/C][C]5070.21[/C][C]-18.5028[/C][C]93.2945[/C][/ROW]
[ROW][C]61[/C][C]5095[/C][C]5108.44[/C][C]5081.25[/C][C]27.1916[/C][C]-13.4416[/C][/ROW]
[ROW][C]62[/C][C]5075[/C][C]5096.96[/C][C]5089.79[/C][C]7.16845[/C][C]-21.9601[/C][/ROW]
[ROW][C]63[/C][C]5125[/C][C]5094.43[/C][C]5091.46[/C][C]2.97574[/C][C]30.5659[/C][/ROW]
[ROW][C]64[/C][C]5075[/C][C]5079.62[/C][C]5087.92[/C][C]-8.3003[/C][C]-4.61637[/C][/ROW]
[ROW][C]65[/C][C]5100[/C][C]5089.95[/C][C]5080.42[/C][C]9.53824[/C][C]10.0451[/C][/ROW]
[ROW][C]66[/C][C]5085[/C][C]5077.35[/C][C]5070.62[/C][C]6.72574[/C][C]7.64926[/C][/ROW]
[ROW][C]67[/C][C]5065[/C][C]5049.85[/C][C]5062.5[/C][C]-12.6464[/C][C]15.1464[/C][/ROW]
[ROW][C]68[/C][C]5090[/C][C]5055.09[/C][C]5054.17[/C][C]0.918451[/C][C]34.9149[/C][/ROW]
[ROW][C]69[/C][C]5020[/C][C]5052.1[/C][C]5041.46[/C][C]10.6407[/C][C]-32.099[/C][/ROW]
[ROW][C]70[/C][C]5030[/C][C]5029.25[/C][C]5033.12[/C][C]-3.87322[/C][C]0.748216[/C][/ROW]
[ROW][C]71[/C][C]5000[/C][C]5009.41[/C][C]5031.25[/C][C]-21.8362[/C][C]-9.41382[/C][/ROW]
[ROW][C]72[/C][C]5030[/C][C]5008.16[/C][C]5026.67[/C][C]-18.5028[/C][C]21.8362[/C][/ROW]
[ROW][C]73[/C][C]5015[/C][C]5045.52[/C][C]5018.33[/C][C]27.1916[/C][C]-30.5249[/C][/ROW]
[ROW][C]74[/C][C]4955[/C][C]5017.38[/C][C]5010.21[/C][C]7.16845[/C][C]-62.3768[/C][/ROW]
[ROW][C]75[/C][C]4940[/C][C]5010.68[/C][C]5007.71[/C][C]2.97574[/C][C]-70.6841[/C][/ROW]
[ROW][C]76[/C][C]5060[/C][C]4998.16[/C][C]5006.46[/C][C]-8.3003[/C][C]61.842[/C][/ROW]
[ROW][C]77[/C][C]5070[/C][C]5014.95[/C][C]5005.42[/C][C]9.53824[/C][C]55.0451[/C][/ROW]
[ROW][C]78[/C][C]5005[/C][C]5008.39[/C][C]5001.67[/C][C]6.72574[/C][C]-3.39241[/C][/ROW]
[ROW][C]79[/C][C]4945[/C][C]4989.02[/C][C]5001.67[/C][C]-12.6464[/C][C]-44.0203[/C][/ROW]
[ROW][C]80[/C][C]5015[/C][C]5012.38[/C][C]5011.46[/C][C]0.918451[/C][C]2.62322[/C][/ROW]
[ROW][C]81[/C][C]5035[/C][C]5032.31[/C][C]5021.67[/C][C]10.6407[/C][C]2.69266[/C][/ROW]
[ROW][C]82[/C][C]4985[/C][C]5024.25[/C][C]5028.12[/C][C]-3.87322[/C][C]-39.2518[/C][/ROW]
[ROW][C]83[/C][C]5020[/C][C]5009.21[/C][C]5031.04[/C][C]-21.8362[/C][C]10.7945[/C][/ROW]
[ROW][C]84[/C][C]4920[/C][C]5018.16[/C][C]5036.67[/C][C]-18.5028[/C][C]-98.1638[/C][/ROW]
[ROW][C]85[/C][C]5125[/C][C]5075.11[/C][C]5047.92[/C][C]27.1916[/C][C]49.8917[/C][/ROW]
[ROW][C]86[/C][C]5080[/C][C]5064.46[/C][C]5057.29[/C][C]7.16845[/C][C]15.5399[/C][/ROW]
[ROW][C]87[/C][C]5060[/C][C]5065.89[/C][C]5062.92[/C][C]2.97574[/C][C]-5.89241[/C][/ROW]
[ROW][C]88[/C][C]5095[/C][C]5064.82[/C][C]5073.12[/C][C]-8.3003[/C][C]30.1753[/C][/ROW]
[ROW][C]89[/C][C]5105[/C][C]5093.5[/C][C]5083.96[/C][C]9.53824[/C][C]11.5034[/C][/ROW]
[ROW][C]90[/C][C]5105[/C][C]5100.48[/C][C]5093.75[/C][C]6.72574[/C][C]4.52426[/C][/ROW]
[ROW][C]91[/C][C]5115[/C][C]5084.85[/C][C]5097.5[/C][C]-12.6464[/C][C]30.1464[/C][/ROW]
[ROW][C]92[/C][C]5070[/C][C]5099.46[/C][C]5098.54[/C][C]0.918451[/C][C]-29.4601[/C][/ROW]
[ROW][C]93[/C][C]5115[/C][C]5114.81[/C][C]5104.17[/C][C]10.6407[/C][C]0.19266[/C][/ROW]
[ROW][C]94[/C][C]5150[/C][C]5100.09[/C][C]5103.96[/C][C]-3.87322[/C][C]49.9149[/C][/ROW]
[ROW][C]95[/C][C]5115[/C][C]5074.83[/C][C]5096.67[/C][C]-21.8362[/C][C]40.1695[/C][/ROW]
[ROW][C]96[/C][C]5060[/C][C]5070.66[/C][C]5089.17[/C][C]-18.5028[/C][C]-10.6638[/C][/ROW]
[ROW][C]97[/C][C]5075[/C][C]5107.4[/C][C]5080.21[/C][C]27.1916[/C][C]-32.3999[/C][/ROW]
[ROW][C]98[/C][C]5155[/C][C]5077.17[/C][C]5070[/C][C]7.16845[/C][C]77.8315[/C][/ROW]
[ROW][C]99[/C][C]5120[/C][C]5062.98[/C][C]5060[/C][C]2.97574[/C][C]57.0243[/C][/ROW]
[ROW][C]100[/C][C]5030[/C][C]5038.16[/C][C]5046.46[/C][C]-8.3003[/C][C]-8.15803[/C][/ROW]
[ROW][C]101[/C][C]4995[/C][C]5039.95[/C][C]5030.42[/C][C]9.53824[/C][C]-44.9549[/C][/ROW]
[ROW][C]102[/C][C]5035[/C][C]5022.56[/C][C]5015.83[/C][C]6.72574[/C][C]12.4409[/C][/ROW]
[ROW][C]103[/C][C]4970[/C][C]4989.44[/C][C]5002.08[/C][C]-12.6464[/C][C]-19.437[/C][/ROW]
[ROW][C]104[/C][C]4970[/C][C]4984.04[/C][C]4983.13[/C][C]0.918451[/C][C]-14.0435[/C][/ROW]
[ROW][C]105[/C][C]4975[/C][C]4973.56[/C][C]4962.92[/C][C]10.6407[/C][C]1.44266[/C][/ROW]
[ROW][C]106[/C][C]4965[/C][C]4946.34[/C][C]4950.21[/C][C]-3.87322[/C][C]18.6649[/C][/ROW]
[ROW][C]107[/C][C]4915[/C][C]4923.58[/C][C]4945.42[/C][C]-21.8362[/C][C]-8.58049[/C][/ROW]
[ROW][C]108[/C][C]4910[/C][C]4920.25[/C][C]4938.75[/C][C]-18.5028[/C][C]-10.2472[/C][/ROW]
[ROW][C]109[/C][C]4895[/C][C]4958.86[/C][C]4931.67[/C][C]27.1916[/C][C]-63.8583[/C][/ROW]
[ROW][C]110[/C][C]4880[/C][C]4933.84[/C][C]4926.67[/C][C]7.16845[/C][C]-53.8351[/C][/ROW]
[ROW][C]111[/C][C]4910[/C][C]NA[/C][C]NA[/C][C]2.97574[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]4935[/C][C]NA[/C][C]NA[/C][C]-8.3003[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]4975[/C][C]NA[/C][C]NA[/C][C]9.53824[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]4895[/C][C]NA[/C][C]NA[/C][C]6.72574[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]4940[/C][C]NA[/C][C]NA[/C][C]-12.6464[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]4880[/C][C]NA[/C][C]NA[/C][C]0.918451[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298958&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298958&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
15290NANA27.1916NA
25135NANA7.16845NA
35075NANA2.97574NA
45115NANA-8.3003NA
55115NANA9.53824NA
65115NANA6.72574NA
752305240.065252.71-12.6464-10.062
853055280.9252800.91845124.0815
953605323.355312.7110.640736.651
1054155345.715349.58-3.8732269.2899
1153705369.415391.25-21.83620.586179
1253555419.625438.12-18.5028-64.6222
1355955510.945483.7527.191684.0584
1454855528.635521.467.16845-43.6268
1555105555.485552.52.97574-45.4757
1655655563.995572.29-8.30031.00863
1756655591.835582.299.5382473.1701
1856905599.235592.56.7257490.7743
1957505579.025591.67-12.6464170.98
2056905587.385586.460.918451102.623
2157205597.15586.4610.6407122.901
2255305578.635582.5-3.87322-48.6268
2354955550.255572.08-21.8362-55.2472
2454755538.585557.08-18.5028-63.5805
2554555563.025535.8327.1916-108.025
2655005518.425511.257.16845-18.4185
2754955491.935488.962.975743.06592
2854855464.415472.71-8.300320.592
2954955468.915459.379.5382426.0868
3055005457.775451.046.7257442.2326
3154305437.565450.21-12.6464-7.56197
3254205444.255443.330.918451-24.2518
3354555437.525426.8710.640717.4843
3454055396.755400.62-3.873228.24822
3553005344.835366.67-21.8362-44.8305
3654705308.585327.08-18.5028161.42
3754405313.445286.2527.1916126.558
38535052535245.837.1684596.9982
3952505201.935198.962.9757448.0659
4051005141.915150.21-8.3003-41.908
4150655120.375110.839.53824-55.3716
4249805077.355070.626.72574-97.3507
4349705013.815026.46-12.6464-43.812
4449104990.9249900.918451-80.9185
4548404971.474960.8310.6407-131.474
4648504935.924939.79-3.87322-85.9185
47491049044925.83-21.83626.00285
4848954900.664919.17-18.5028-5.66382
4949554943.654916.4627.191611.3501
5049604926.544919.377.1684533.4565
5149404935.684932.712.975744.31592
5249054942.954951.25-8.3003-37.9497
5349254979.5449709.53824-54.5382
5449604995.894989.176.72574-35.8924
5549254992.775005.42-12.6464-67.7703
5650255016.965016.040.9184518.03988
5750455039.185028.5410.64075.81766
5850905039.465043.33-3.8732250.5399
5951205035.875057.71-21.836284.1278
6051455051.715070.21-18.502893.2945
6150955108.445081.2527.1916-13.4416
6250755096.965089.797.16845-21.9601
6351255094.435091.462.9757430.5659
6450755079.625087.92-8.3003-4.61637
6551005089.955080.429.5382410.0451
6650855077.355070.626.725747.64926
6750655049.855062.5-12.646415.1464
6850905055.095054.170.91845134.9149
6950205052.15041.4610.6407-32.099
7050305029.255033.12-3.873220.748216
7150005009.415031.25-21.8362-9.41382
7250305008.165026.67-18.502821.8362
7350155045.525018.3327.1916-30.5249
7449555017.385010.217.16845-62.3768
7549405010.685007.712.97574-70.6841
7650604998.165006.46-8.300361.842
7750705014.955005.429.5382455.0451
7850055008.395001.676.72574-3.39241
7949454989.025001.67-12.6464-44.0203
8050155012.385011.460.9184512.62322
8150355032.315021.6710.64072.69266
8249855024.255028.12-3.87322-39.2518
8350205009.215031.04-21.836210.7945
8449205018.165036.67-18.5028-98.1638
8551255075.115047.9227.191649.8917
8650805064.465057.297.1684515.5399
8750605065.895062.922.97574-5.89241
8850955064.825073.12-8.300330.1753
8951055093.55083.969.5382411.5034
9051055100.485093.756.725744.52426
9151155084.855097.5-12.646430.1464
9250705099.465098.540.918451-29.4601
9351155114.815104.1710.64070.19266
9451505100.095103.96-3.8732249.9149
9551155074.835096.67-21.836240.1695
9650605070.665089.17-18.5028-10.6638
9750755107.45080.2127.1916-32.3999
9851555077.1750707.1684577.8315
9951205062.9850602.9757457.0243
10050305038.165046.46-8.3003-8.15803
10149955039.955030.429.53824-44.9549
10250355022.565015.836.7257412.4409
10349704989.445002.08-12.6464-19.437
10449704984.044983.130.918451-14.0435
10549754973.564962.9210.64071.44266
10649654946.344950.21-3.8732218.6649
10749154923.584945.42-21.8362-8.58049
10849104920.254938.75-18.5028-10.2472
10948954958.864931.6727.1916-63.8583
11048804933.844926.677.16845-53.8351
1114910NANA2.97574NA
1124935NANA-8.3003NA
1134975NANA9.53824NA
1144895NANA6.72574NA
1154940NANA-12.6464NA
1164880NANA0.918451NA



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')