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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, 07 Dec 2016 13:28:43 +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/07/t1481113817honsim6bmxdc4go.htm/, Retrieved Tue, 07 May 2024 06:51:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298051, Retrieved Tue, 07 May 2024 06:51:24 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-07 12:28:43] [532823e65ff0a5fb51127419eb0f7462] [Current]
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Dataseries X:
3567.2
3968.25
4285.35
4130.95
4219.4
4626.2
3860.75
4174.15
4668.65
4630.05
4553.7
4603.85
4310.7
4831.3
5145.3
4886.65
4934.05
5304.7
4419.45
4804.85
5105
5132.6
4982.5
4906.7
4506.4
5010.85
5392.25
5049.7
5143.9
5449.9
4520.4
4936.95
5358.55
5289.5
5123.55
4985.65
4682.65
5175.55
5374.7
5289
5176.15
5604.25
4608.8
4898.15
5448.65
5373.05
5078.6
5233.4
4629.2
5387.8
5736.65
5357.9
5337.95
5795.5
4804.05
5120.5
5850.45
5734.75
5539
5582.85
4983.1
5672
6185.8
5835.6
5930.4
6444.65
5171.05
5739.1
6413.9
6230.2
6015.45
6174.25
5579.25
6133.45
6478.7
6184.4
6185.65
6556
5123.25
6028.9
6499.95
6190.05
6027.95
6034
5128.75
6087.7
6628.15
6075.3
6352.1
6824
5412.35
6171.25
6521.35
6457.6
5930.95
5842.7
5120.1
5719.95
5946.7
5921.1
6072
6489.4
5291.15
5986.45
6538.15
6442.8
6169.55
5793
5254.85
6050.75
6606.15
6221.15
6293.4
6908.4
5498.95
6145.35




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=298051&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=298051&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298051&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
13567.2NANA-644.022NA
23968.25NANA-8.02671NA
34285.35NANA343.539NA
44130.95NANA38.2854NA
54219.4NANA86.9968NA
64626.2NANA489.412NA
73860.753667.554305.02-637.47193.199
84174.154233.64371.96-138.363-59.4471
94668.654789.934443.75346.179-121.281
104630.054734.164511.07223.085-104.106
114553.74547.334572.34-25.016.37463
124603.854555.784630.38-74.605448.0721
134310.74037.914681.93-644.022272.789
144831.34723.464731.49-8.02671107.835
155145.35119.494775.95343.53925.8092
164886.654853.364815.0738.285433.2917
174934.054940.884853.8886.9968-6.82598
185304.75373.784884.36489.412-69.077
194419.454267.674905.14-637.47151.782
204804.854782.414920.77-138.36322.4404
2151055284.724938.54346.179-179.723
225132.65178.714955.63223.085-46.1124
234982.54946.154971.16-25.0136.3455
244906.74911.354985.96-74.6054-4.65292
254506.44352.194996.21-644.022154.207
265010.854997.95005.92-8.0267112.9517
275392.255365.535021.99343.53926.7175
285049.75077.385039.138.2854-27.6812
295143.95138.515051.5186.99685.39277
305449.95550.095060.68489.412-100.19
314520.44433.845071.31-637.4786.5596
324936.954947.155085.52-138.363-10.2034
335358.555437.835091.65346.179-79.2768
345289.55323.975100.89223.085-34.4728
355123.555087.195112.2-25.0136.358
364985.655045.375119.98-74.6054-59.7217
374682.654486.075130.09-644.022196.58
385175.555124.135132.16-8.0267151.4184
395374.75477.835134.3343.539-103.135
4052895179.825141.5338.2854109.183
415176.155230.145143.1486.9968-53.9864
425604.2556415151.59489.412-36.752
434608.84522.225159.69-637.4786.5846
444898.155027.945166.3-138.363-129.789
455448.655536.415190.23346.179-87.7559
465373.055431.265208.18223.085-58.2145
475078.65192.785217.79-25.01-114.182
485233.45157.95232.5-74.605475.5033
494629.24604.585248.61-644.02224.6158
505387.85257.985266.01-8.02671129.82
515736.655635.555292.01343.539101.099
525357.95362.115323.8238.2854-4.21036
535337.955445.085358.0886.9968-107.126
545795.55881.245391.82489.412-85.7354
554804.054783.665421.13-637.4720.3908
565120.55309.355447.72-138.363-188.853
575850.455824.455478.27346.17925.9982
585734.755739.985516.89223.085-5.22699
5955395536.475561.48-25.012.52879
605582.855538.615613.21-74.605444.2408
614983.15011.535655.55-644.022-28.4321
6256725688.595696.62-8.02671-16.5941
636185.86089.415745.87343.53996.3883
645835.65828.285789.9938.28547.32089
655930.45917.495830.4986.996812.9136
666444.656364.45874.98489.41280.2542
675171.055286.995924.46-637.47-115.945
685739.15830.175968.53-138.363-91.068
696413.96346.145999.96346.17967.7587
706230.26249.796026.7223.085-19.5853
716015.456026.866051.87-25.01-11.4087
726174.255992.546067.14-74.6054181.712
735579.255425.776069.79-644.022153.48
746133.456071.856079.88-8.0267161.6017
756478.76439.076095.54343.53939.6258
766184.46135.736097.4538.285448.6667
776185.656183.296096.386.99682.35735
7865566580.396090.97489.412-24.3854
795123.255428.896066.36-637.47-305.638
806028.95907.326045.68-138.363121.582
816499.956396.186050346.179103.769
826190.056274.776051.68223.085-84.7187
836027.956029.066054.07-25.01-1.11287
8460345997.576072.18-74.605436.4304
855128.755451.376095.39-644.022-322.615
866087.76105.346113.36-8.02671-17.6379
876628.156463.736120.19343.539164.424
886075.36170.516132.2338.2854-95.2124
896352.16226.336139.3386.9968125.77
9068246616.736127.32489.412207.267
915412.355481.526118.99-637.47-69.1696
926171.255964.946103.31-138.363206.307
936521.356405.776059.59346.179115.582
946457.66247.866024.77223.085209.744
955930.955981.666006.68-25.01-50.715
965842.75906.465981.06-74.6054-63.7571
975120.15318.055962.07-644.022-197.949
985719.955941.295949.32-8.02671-221.344
995946.76285.865942.32343.539-339.16
1005921.15980.695942.438.2854-59.5895
10160726038.735951.7386.996833.274
1026489.46449.015959.6489.41240.3876
1035291.155325.675963.14-637.47-34.5238
1045986.455844.185982.54-138.363142.272
1056538.156369.986023.8346.179168.169
1066442.86286.876063.78223.085155.933
1076169.556060.56085.51-25.01109.052
10857936037.596112.19-74.6054-244.586
1095254.855494.296138.31-644.022-239.436
1106050.756145.566153.59-8.02671-94.8108
1116606.15NANA343.539NA
1126221.15NANA38.2854NA
1136293.4NANA86.9968NA
1146908.4NANA489.412NA
1155498.95NANA-637.47NA
1166145.35NANA-138.363NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3567.2 & NA & NA & -644.022 & NA \tabularnewline
2 & 3968.25 & NA & NA & -8.02671 & NA \tabularnewline
3 & 4285.35 & NA & NA & 343.539 & NA \tabularnewline
4 & 4130.95 & NA & NA & 38.2854 & NA \tabularnewline
5 & 4219.4 & NA & NA & 86.9968 & NA \tabularnewline
6 & 4626.2 & NA & NA & 489.412 & NA \tabularnewline
7 & 3860.75 & 3667.55 & 4305.02 & -637.47 & 193.199 \tabularnewline
8 & 4174.15 & 4233.6 & 4371.96 & -138.363 & -59.4471 \tabularnewline
9 & 4668.65 & 4789.93 & 4443.75 & 346.179 & -121.281 \tabularnewline
10 & 4630.05 & 4734.16 & 4511.07 & 223.085 & -104.106 \tabularnewline
11 & 4553.7 & 4547.33 & 4572.34 & -25.01 & 6.37463 \tabularnewline
12 & 4603.85 & 4555.78 & 4630.38 & -74.6054 & 48.0721 \tabularnewline
13 & 4310.7 & 4037.91 & 4681.93 & -644.022 & 272.789 \tabularnewline
14 & 4831.3 & 4723.46 & 4731.49 & -8.02671 & 107.835 \tabularnewline
15 & 5145.3 & 5119.49 & 4775.95 & 343.539 & 25.8092 \tabularnewline
16 & 4886.65 & 4853.36 & 4815.07 & 38.2854 & 33.2917 \tabularnewline
17 & 4934.05 & 4940.88 & 4853.88 & 86.9968 & -6.82598 \tabularnewline
18 & 5304.7 & 5373.78 & 4884.36 & 489.412 & -69.077 \tabularnewline
19 & 4419.45 & 4267.67 & 4905.14 & -637.47 & 151.782 \tabularnewline
20 & 4804.85 & 4782.41 & 4920.77 & -138.363 & 22.4404 \tabularnewline
21 & 5105 & 5284.72 & 4938.54 & 346.179 & -179.723 \tabularnewline
22 & 5132.6 & 5178.71 & 4955.63 & 223.085 & -46.1124 \tabularnewline
23 & 4982.5 & 4946.15 & 4971.16 & -25.01 & 36.3455 \tabularnewline
24 & 4906.7 & 4911.35 & 4985.96 & -74.6054 & -4.65292 \tabularnewline
25 & 4506.4 & 4352.19 & 4996.21 & -644.022 & 154.207 \tabularnewline
26 & 5010.85 & 4997.9 & 5005.92 & -8.02671 & 12.9517 \tabularnewline
27 & 5392.25 & 5365.53 & 5021.99 & 343.539 & 26.7175 \tabularnewline
28 & 5049.7 & 5077.38 & 5039.1 & 38.2854 & -27.6812 \tabularnewline
29 & 5143.9 & 5138.51 & 5051.51 & 86.9968 & 5.39277 \tabularnewline
30 & 5449.9 & 5550.09 & 5060.68 & 489.412 & -100.19 \tabularnewline
31 & 4520.4 & 4433.84 & 5071.31 & -637.47 & 86.5596 \tabularnewline
32 & 4936.95 & 4947.15 & 5085.52 & -138.363 & -10.2034 \tabularnewline
33 & 5358.55 & 5437.83 & 5091.65 & 346.179 & -79.2768 \tabularnewline
34 & 5289.5 & 5323.97 & 5100.89 & 223.085 & -34.4728 \tabularnewline
35 & 5123.55 & 5087.19 & 5112.2 & -25.01 & 36.358 \tabularnewline
36 & 4985.65 & 5045.37 & 5119.98 & -74.6054 & -59.7217 \tabularnewline
37 & 4682.65 & 4486.07 & 5130.09 & -644.022 & 196.58 \tabularnewline
38 & 5175.55 & 5124.13 & 5132.16 & -8.02671 & 51.4184 \tabularnewline
39 & 5374.7 & 5477.83 & 5134.3 & 343.539 & -103.135 \tabularnewline
40 & 5289 & 5179.82 & 5141.53 & 38.2854 & 109.183 \tabularnewline
41 & 5176.15 & 5230.14 & 5143.14 & 86.9968 & -53.9864 \tabularnewline
42 & 5604.25 & 5641 & 5151.59 & 489.412 & -36.752 \tabularnewline
43 & 4608.8 & 4522.22 & 5159.69 & -637.47 & 86.5846 \tabularnewline
44 & 4898.15 & 5027.94 & 5166.3 & -138.363 & -129.789 \tabularnewline
45 & 5448.65 & 5536.41 & 5190.23 & 346.179 & -87.7559 \tabularnewline
46 & 5373.05 & 5431.26 & 5208.18 & 223.085 & -58.2145 \tabularnewline
47 & 5078.6 & 5192.78 & 5217.79 & -25.01 & -114.182 \tabularnewline
48 & 5233.4 & 5157.9 & 5232.5 & -74.6054 & 75.5033 \tabularnewline
49 & 4629.2 & 4604.58 & 5248.61 & -644.022 & 24.6158 \tabularnewline
50 & 5387.8 & 5257.98 & 5266.01 & -8.02671 & 129.82 \tabularnewline
51 & 5736.65 & 5635.55 & 5292.01 & 343.539 & 101.099 \tabularnewline
52 & 5357.9 & 5362.11 & 5323.82 & 38.2854 & -4.21036 \tabularnewline
53 & 5337.95 & 5445.08 & 5358.08 & 86.9968 & -107.126 \tabularnewline
54 & 5795.5 & 5881.24 & 5391.82 & 489.412 & -85.7354 \tabularnewline
55 & 4804.05 & 4783.66 & 5421.13 & -637.47 & 20.3908 \tabularnewline
56 & 5120.5 & 5309.35 & 5447.72 & -138.363 & -188.853 \tabularnewline
57 & 5850.45 & 5824.45 & 5478.27 & 346.179 & 25.9982 \tabularnewline
58 & 5734.75 & 5739.98 & 5516.89 & 223.085 & -5.22699 \tabularnewline
59 & 5539 & 5536.47 & 5561.48 & -25.01 & 2.52879 \tabularnewline
60 & 5582.85 & 5538.61 & 5613.21 & -74.6054 & 44.2408 \tabularnewline
61 & 4983.1 & 5011.53 & 5655.55 & -644.022 & -28.4321 \tabularnewline
62 & 5672 & 5688.59 & 5696.62 & -8.02671 & -16.5941 \tabularnewline
63 & 6185.8 & 6089.41 & 5745.87 & 343.539 & 96.3883 \tabularnewline
64 & 5835.6 & 5828.28 & 5789.99 & 38.2854 & 7.32089 \tabularnewline
65 & 5930.4 & 5917.49 & 5830.49 & 86.9968 & 12.9136 \tabularnewline
66 & 6444.65 & 6364.4 & 5874.98 & 489.412 & 80.2542 \tabularnewline
67 & 5171.05 & 5286.99 & 5924.46 & -637.47 & -115.945 \tabularnewline
68 & 5739.1 & 5830.17 & 5968.53 & -138.363 & -91.068 \tabularnewline
69 & 6413.9 & 6346.14 & 5999.96 & 346.179 & 67.7587 \tabularnewline
70 & 6230.2 & 6249.79 & 6026.7 & 223.085 & -19.5853 \tabularnewline
71 & 6015.45 & 6026.86 & 6051.87 & -25.01 & -11.4087 \tabularnewline
72 & 6174.25 & 5992.54 & 6067.14 & -74.6054 & 181.712 \tabularnewline
73 & 5579.25 & 5425.77 & 6069.79 & -644.022 & 153.48 \tabularnewline
74 & 6133.45 & 6071.85 & 6079.88 & -8.02671 & 61.6017 \tabularnewline
75 & 6478.7 & 6439.07 & 6095.54 & 343.539 & 39.6258 \tabularnewline
76 & 6184.4 & 6135.73 & 6097.45 & 38.2854 & 48.6667 \tabularnewline
77 & 6185.65 & 6183.29 & 6096.3 & 86.9968 & 2.35735 \tabularnewline
78 & 6556 & 6580.39 & 6090.97 & 489.412 & -24.3854 \tabularnewline
79 & 5123.25 & 5428.89 & 6066.36 & -637.47 & -305.638 \tabularnewline
80 & 6028.9 & 5907.32 & 6045.68 & -138.363 & 121.582 \tabularnewline
81 & 6499.95 & 6396.18 & 6050 & 346.179 & 103.769 \tabularnewline
82 & 6190.05 & 6274.77 & 6051.68 & 223.085 & -84.7187 \tabularnewline
83 & 6027.95 & 6029.06 & 6054.07 & -25.01 & -1.11287 \tabularnewline
84 & 6034 & 5997.57 & 6072.18 & -74.6054 & 36.4304 \tabularnewline
85 & 5128.75 & 5451.37 & 6095.39 & -644.022 & -322.615 \tabularnewline
86 & 6087.7 & 6105.34 & 6113.36 & -8.02671 & -17.6379 \tabularnewline
87 & 6628.15 & 6463.73 & 6120.19 & 343.539 & 164.424 \tabularnewline
88 & 6075.3 & 6170.51 & 6132.23 & 38.2854 & -95.2124 \tabularnewline
89 & 6352.1 & 6226.33 & 6139.33 & 86.9968 & 125.77 \tabularnewline
90 & 6824 & 6616.73 & 6127.32 & 489.412 & 207.267 \tabularnewline
91 & 5412.35 & 5481.52 & 6118.99 & -637.47 & -69.1696 \tabularnewline
92 & 6171.25 & 5964.94 & 6103.31 & -138.363 & 206.307 \tabularnewline
93 & 6521.35 & 6405.77 & 6059.59 & 346.179 & 115.582 \tabularnewline
94 & 6457.6 & 6247.86 & 6024.77 & 223.085 & 209.744 \tabularnewline
95 & 5930.95 & 5981.66 & 6006.68 & -25.01 & -50.715 \tabularnewline
96 & 5842.7 & 5906.46 & 5981.06 & -74.6054 & -63.7571 \tabularnewline
97 & 5120.1 & 5318.05 & 5962.07 & -644.022 & -197.949 \tabularnewline
98 & 5719.95 & 5941.29 & 5949.32 & -8.02671 & -221.344 \tabularnewline
99 & 5946.7 & 6285.86 & 5942.32 & 343.539 & -339.16 \tabularnewline
100 & 5921.1 & 5980.69 & 5942.4 & 38.2854 & -59.5895 \tabularnewline
101 & 6072 & 6038.73 & 5951.73 & 86.9968 & 33.274 \tabularnewline
102 & 6489.4 & 6449.01 & 5959.6 & 489.412 & 40.3876 \tabularnewline
103 & 5291.15 & 5325.67 & 5963.14 & -637.47 & -34.5238 \tabularnewline
104 & 5986.45 & 5844.18 & 5982.54 & -138.363 & 142.272 \tabularnewline
105 & 6538.15 & 6369.98 & 6023.8 & 346.179 & 168.169 \tabularnewline
106 & 6442.8 & 6286.87 & 6063.78 & 223.085 & 155.933 \tabularnewline
107 & 6169.55 & 6060.5 & 6085.51 & -25.01 & 109.052 \tabularnewline
108 & 5793 & 6037.59 & 6112.19 & -74.6054 & -244.586 \tabularnewline
109 & 5254.85 & 5494.29 & 6138.31 & -644.022 & -239.436 \tabularnewline
110 & 6050.75 & 6145.56 & 6153.59 & -8.02671 & -94.8108 \tabularnewline
111 & 6606.15 & NA & NA & 343.539 & NA \tabularnewline
112 & 6221.15 & NA & NA & 38.2854 & NA \tabularnewline
113 & 6293.4 & NA & NA & 86.9968 & NA \tabularnewline
114 & 6908.4 & NA & NA & 489.412 & NA \tabularnewline
115 & 5498.95 & NA & NA & -637.47 & NA \tabularnewline
116 & 6145.35 & NA & NA & -138.363 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298051&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]3567.2[/C][C]NA[/C][C]NA[/C][C]-644.022[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3968.25[/C][C]NA[/C][C]NA[/C][C]-8.02671[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4285.35[/C][C]NA[/C][C]NA[/C][C]343.539[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4130.95[/C][C]NA[/C][C]NA[/C][C]38.2854[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4219.4[/C][C]NA[/C][C]NA[/C][C]86.9968[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4626.2[/C][C]NA[/C][C]NA[/C][C]489.412[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3860.75[/C][C]3667.55[/C][C]4305.02[/C][C]-637.47[/C][C]193.199[/C][/ROW]
[ROW][C]8[/C][C]4174.15[/C][C]4233.6[/C][C]4371.96[/C][C]-138.363[/C][C]-59.4471[/C][/ROW]
[ROW][C]9[/C][C]4668.65[/C][C]4789.93[/C][C]4443.75[/C][C]346.179[/C][C]-121.281[/C][/ROW]
[ROW][C]10[/C][C]4630.05[/C][C]4734.16[/C][C]4511.07[/C][C]223.085[/C][C]-104.106[/C][/ROW]
[ROW][C]11[/C][C]4553.7[/C][C]4547.33[/C][C]4572.34[/C][C]-25.01[/C][C]6.37463[/C][/ROW]
[ROW][C]12[/C][C]4603.85[/C][C]4555.78[/C][C]4630.38[/C][C]-74.6054[/C][C]48.0721[/C][/ROW]
[ROW][C]13[/C][C]4310.7[/C][C]4037.91[/C][C]4681.93[/C][C]-644.022[/C][C]272.789[/C][/ROW]
[ROW][C]14[/C][C]4831.3[/C][C]4723.46[/C][C]4731.49[/C][C]-8.02671[/C][C]107.835[/C][/ROW]
[ROW][C]15[/C][C]5145.3[/C][C]5119.49[/C][C]4775.95[/C][C]343.539[/C][C]25.8092[/C][/ROW]
[ROW][C]16[/C][C]4886.65[/C][C]4853.36[/C][C]4815.07[/C][C]38.2854[/C][C]33.2917[/C][/ROW]
[ROW][C]17[/C][C]4934.05[/C][C]4940.88[/C][C]4853.88[/C][C]86.9968[/C][C]-6.82598[/C][/ROW]
[ROW][C]18[/C][C]5304.7[/C][C]5373.78[/C][C]4884.36[/C][C]489.412[/C][C]-69.077[/C][/ROW]
[ROW][C]19[/C][C]4419.45[/C][C]4267.67[/C][C]4905.14[/C][C]-637.47[/C][C]151.782[/C][/ROW]
[ROW][C]20[/C][C]4804.85[/C][C]4782.41[/C][C]4920.77[/C][C]-138.363[/C][C]22.4404[/C][/ROW]
[ROW][C]21[/C][C]5105[/C][C]5284.72[/C][C]4938.54[/C][C]346.179[/C][C]-179.723[/C][/ROW]
[ROW][C]22[/C][C]5132.6[/C][C]5178.71[/C][C]4955.63[/C][C]223.085[/C][C]-46.1124[/C][/ROW]
[ROW][C]23[/C][C]4982.5[/C][C]4946.15[/C][C]4971.16[/C][C]-25.01[/C][C]36.3455[/C][/ROW]
[ROW][C]24[/C][C]4906.7[/C][C]4911.35[/C][C]4985.96[/C][C]-74.6054[/C][C]-4.65292[/C][/ROW]
[ROW][C]25[/C][C]4506.4[/C][C]4352.19[/C][C]4996.21[/C][C]-644.022[/C][C]154.207[/C][/ROW]
[ROW][C]26[/C][C]5010.85[/C][C]4997.9[/C][C]5005.92[/C][C]-8.02671[/C][C]12.9517[/C][/ROW]
[ROW][C]27[/C][C]5392.25[/C][C]5365.53[/C][C]5021.99[/C][C]343.539[/C][C]26.7175[/C][/ROW]
[ROW][C]28[/C][C]5049.7[/C][C]5077.38[/C][C]5039.1[/C][C]38.2854[/C][C]-27.6812[/C][/ROW]
[ROW][C]29[/C][C]5143.9[/C][C]5138.51[/C][C]5051.51[/C][C]86.9968[/C][C]5.39277[/C][/ROW]
[ROW][C]30[/C][C]5449.9[/C][C]5550.09[/C][C]5060.68[/C][C]489.412[/C][C]-100.19[/C][/ROW]
[ROW][C]31[/C][C]4520.4[/C][C]4433.84[/C][C]5071.31[/C][C]-637.47[/C][C]86.5596[/C][/ROW]
[ROW][C]32[/C][C]4936.95[/C][C]4947.15[/C][C]5085.52[/C][C]-138.363[/C][C]-10.2034[/C][/ROW]
[ROW][C]33[/C][C]5358.55[/C][C]5437.83[/C][C]5091.65[/C][C]346.179[/C][C]-79.2768[/C][/ROW]
[ROW][C]34[/C][C]5289.5[/C][C]5323.97[/C][C]5100.89[/C][C]223.085[/C][C]-34.4728[/C][/ROW]
[ROW][C]35[/C][C]5123.55[/C][C]5087.19[/C][C]5112.2[/C][C]-25.01[/C][C]36.358[/C][/ROW]
[ROW][C]36[/C][C]4985.65[/C][C]5045.37[/C][C]5119.98[/C][C]-74.6054[/C][C]-59.7217[/C][/ROW]
[ROW][C]37[/C][C]4682.65[/C][C]4486.07[/C][C]5130.09[/C][C]-644.022[/C][C]196.58[/C][/ROW]
[ROW][C]38[/C][C]5175.55[/C][C]5124.13[/C][C]5132.16[/C][C]-8.02671[/C][C]51.4184[/C][/ROW]
[ROW][C]39[/C][C]5374.7[/C][C]5477.83[/C][C]5134.3[/C][C]343.539[/C][C]-103.135[/C][/ROW]
[ROW][C]40[/C][C]5289[/C][C]5179.82[/C][C]5141.53[/C][C]38.2854[/C][C]109.183[/C][/ROW]
[ROW][C]41[/C][C]5176.15[/C][C]5230.14[/C][C]5143.14[/C][C]86.9968[/C][C]-53.9864[/C][/ROW]
[ROW][C]42[/C][C]5604.25[/C][C]5641[/C][C]5151.59[/C][C]489.412[/C][C]-36.752[/C][/ROW]
[ROW][C]43[/C][C]4608.8[/C][C]4522.22[/C][C]5159.69[/C][C]-637.47[/C][C]86.5846[/C][/ROW]
[ROW][C]44[/C][C]4898.15[/C][C]5027.94[/C][C]5166.3[/C][C]-138.363[/C][C]-129.789[/C][/ROW]
[ROW][C]45[/C][C]5448.65[/C][C]5536.41[/C][C]5190.23[/C][C]346.179[/C][C]-87.7559[/C][/ROW]
[ROW][C]46[/C][C]5373.05[/C][C]5431.26[/C][C]5208.18[/C][C]223.085[/C][C]-58.2145[/C][/ROW]
[ROW][C]47[/C][C]5078.6[/C][C]5192.78[/C][C]5217.79[/C][C]-25.01[/C][C]-114.182[/C][/ROW]
[ROW][C]48[/C][C]5233.4[/C][C]5157.9[/C][C]5232.5[/C][C]-74.6054[/C][C]75.5033[/C][/ROW]
[ROW][C]49[/C][C]4629.2[/C][C]4604.58[/C][C]5248.61[/C][C]-644.022[/C][C]24.6158[/C][/ROW]
[ROW][C]50[/C][C]5387.8[/C][C]5257.98[/C][C]5266.01[/C][C]-8.02671[/C][C]129.82[/C][/ROW]
[ROW][C]51[/C][C]5736.65[/C][C]5635.55[/C][C]5292.01[/C][C]343.539[/C][C]101.099[/C][/ROW]
[ROW][C]52[/C][C]5357.9[/C][C]5362.11[/C][C]5323.82[/C][C]38.2854[/C][C]-4.21036[/C][/ROW]
[ROW][C]53[/C][C]5337.95[/C][C]5445.08[/C][C]5358.08[/C][C]86.9968[/C][C]-107.126[/C][/ROW]
[ROW][C]54[/C][C]5795.5[/C][C]5881.24[/C][C]5391.82[/C][C]489.412[/C][C]-85.7354[/C][/ROW]
[ROW][C]55[/C][C]4804.05[/C][C]4783.66[/C][C]5421.13[/C][C]-637.47[/C][C]20.3908[/C][/ROW]
[ROW][C]56[/C][C]5120.5[/C][C]5309.35[/C][C]5447.72[/C][C]-138.363[/C][C]-188.853[/C][/ROW]
[ROW][C]57[/C][C]5850.45[/C][C]5824.45[/C][C]5478.27[/C][C]346.179[/C][C]25.9982[/C][/ROW]
[ROW][C]58[/C][C]5734.75[/C][C]5739.98[/C][C]5516.89[/C][C]223.085[/C][C]-5.22699[/C][/ROW]
[ROW][C]59[/C][C]5539[/C][C]5536.47[/C][C]5561.48[/C][C]-25.01[/C][C]2.52879[/C][/ROW]
[ROW][C]60[/C][C]5582.85[/C][C]5538.61[/C][C]5613.21[/C][C]-74.6054[/C][C]44.2408[/C][/ROW]
[ROW][C]61[/C][C]4983.1[/C][C]5011.53[/C][C]5655.55[/C][C]-644.022[/C][C]-28.4321[/C][/ROW]
[ROW][C]62[/C][C]5672[/C][C]5688.59[/C][C]5696.62[/C][C]-8.02671[/C][C]-16.5941[/C][/ROW]
[ROW][C]63[/C][C]6185.8[/C][C]6089.41[/C][C]5745.87[/C][C]343.539[/C][C]96.3883[/C][/ROW]
[ROW][C]64[/C][C]5835.6[/C][C]5828.28[/C][C]5789.99[/C][C]38.2854[/C][C]7.32089[/C][/ROW]
[ROW][C]65[/C][C]5930.4[/C][C]5917.49[/C][C]5830.49[/C][C]86.9968[/C][C]12.9136[/C][/ROW]
[ROW][C]66[/C][C]6444.65[/C][C]6364.4[/C][C]5874.98[/C][C]489.412[/C][C]80.2542[/C][/ROW]
[ROW][C]67[/C][C]5171.05[/C][C]5286.99[/C][C]5924.46[/C][C]-637.47[/C][C]-115.945[/C][/ROW]
[ROW][C]68[/C][C]5739.1[/C][C]5830.17[/C][C]5968.53[/C][C]-138.363[/C][C]-91.068[/C][/ROW]
[ROW][C]69[/C][C]6413.9[/C][C]6346.14[/C][C]5999.96[/C][C]346.179[/C][C]67.7587[/C][/ROW]
[ROW][C]70[/C][C]6230.2[/C][C]6249.79[/C][C]6026.7[/C][C]223.085[/C][C]-19.5853[/C][/ROW]
[ROW][C]71[/C][C]6015.45[/C][C]6026.86[/C][C]6051.87[/C][C]-25.01[/C][C]-11.4087[/C][/ROW]
[ROW][C]72[/C][C]6174.25[/C][C]5992.54[/C][C]6067.14[/C][C]-74.6054[/C][C]181.712[/C][/ROW]
[ROW][C]73[/C][C]5579.25[/C][C]5425.77[/C][C]6069.79[/C][C]-644.022[/C][C]153.48[/C][/ROW]
[ROW][C]74[/C][C]6133.45[/C][C]6071.85[/C][C]6079.88[/C][C]-8.02671[/C][C]61.6017[/C][/ROW]
[ROW][C]75[/C][C]6478.7[/C][C]6439.07[/C][C]6095.54[/C][C]343.539[/C][C]39.6258[/C][/ROW]
[ROW][C]76[/C][C]6184.4[/C][C]6135.73[/C][C]6097.45[/C][C]38.2854[/C][C]48.6667[/C][/ROW]
[ROW][C]77[/C][C]6185.65[/C][C]6183.29[/C][C]6096.3[/C][C]86.9968[/C][C]2.35735[/C][/ROW]
[ROW][C]78[/C][C]6556[/C][C]6580.39[/C][C]6090.97[/C][C]489.412[/C][C]-24.3854[/C][/ROW]
[ROW][C]79[/C][C]5123.25[/C][C]5428.89[/C][C]6066.36[/C][C]-637.47[/C][C]-305.638[/C][/ROW]
[ROW][C]80[/C][C]6028.9[/C][C]5907.32[/C][C]6045.68[/C][C]-138.363[/C][C]121.582[/C][/ROW]
[ROW][C]81[/C][C]6499.95[/C][C]6396.18[/C][C]6050[/C][C]346.179[/C][C]103.769[/C][/ROW]
[ROW][C]82[/C][C]6190.05[/C][C]6274.77[/C][C]6051.68[/C][C]223.085[/C][C]-84.7187[/C][/ROW]
[ROW][C]83[/C][C]6027.95[/C][C]6029.06[/C][C]6054.07[/C][C]-25.01[/C][C]-1.11287[/C][/ROW]
[ROW][C]84[/C][C]6034[/C][C]5997.57[/C][C]6072.18[/C][C]-74.6054[/C][C]36.4304[/C][/ROW]
[ROW][C]85[/C][C]5128.75[/C][C]5451.37[/C][C]6095.39[/C][C]-644.022[/C][C]-322.615[/C][/ROW]
[ROW][C]86[/C][C]6087.7[/C][C]6105.34[/C][C]6113.36[/C][C]-8.02671[/C][C]-17.6379[/C][/ROW]
[ROW][C]87[/C][C]6628.15[/C][C]6463.73[/C][C]6120.19[/C][C]343.539[/C][C]164.424[/C][/ROW]
[ROW][C]88[/C][C]6075.3[/C][C]6170.51[/C][C]6132.23[/C][C]38.2854[/C][C]-95.2124[/C][/ROW]
[ROW][C]89[/C][C]6352.1[/C][C]6226.33[/C][C]6139.33[/C][C]86.9968[/C][C]125.77[/C][/ROW]
[ROW][C]90[/C][C]6824[/C][C]6616.73[/C][C]6127.32[/C][C]489.412[/C][C]207.267[/C][/ROW]
[ROW][C]91[/C][C]5412.35[/C][C]5481.52[/C][C]6118.99[/C][C]-637.47[/C][C]-69.1696[/C][/ROW]
[ROW][C]92[/C][C]6171.25[/C][C]5964.94[/C][C]6103.31[/C][C]-138.363[/C][C]206.307[/C][/ROW]
[ROW][C]93[/C][C]6521.35[/C][C]6405.77[/C][C]6059.59[/C][C]346.179[/C][C]115.582[/C][/ROW]
[ROW][C]94[/C][C]6457.6[/C][C]6247.86[/C][C]6024.77[/C][C]223.085[/C][C]209.744[/C][/ROW]
[ROW][C]95[/C][C]5930.95[/C][C]5981.66[/C][C]6006.68[/C][C]-25.01[/C][C]-50.715[/C][/ROW]
[ROW][C]96[/C][C]5842.7[/C][C]5906.46[/C][C]5981.06[/C][C]-74.6054[/C][C]-63.7571[/C][/ROW]
[ROW][C]97[/C][C]5120.1[/C][C]5318.05[/C][C]5962.07[/C][C]-644.022[/C][C]-197.949[/C][/ROW]
[ROW][C]98[/C][C]5719.95[/C][C]5941.29[/C][C]5949.32[/C][C]-8.02671[/C][C]-221.344[/C][/ROW]
[ROW][C]99[/C][C]5946.7[/C][C]6285.86[/C][C]5942.32[/C][C]343.539[/C][C]-339.16[/C][/ROW]
[ROW][C]100[/C][C]5921.1[/C][C]5980.69[/C][C]5942.4[/C][C]38.2854[/C][C]-59.5895[/C][/ROW]
[ROW][C]101[/C][C]6072[/C][C]6038.73[/C][C]5951.73[/C][C]86.9968[/C][C]33.274[/C][/ROW]
[ROW][C]102[/C][C]6489.4[/C][C]6449.01[/C][C]5959.6[/C][C]489.412[/C][C]40.3876[/C][/ROW]
[ROW][C]103[/C][C]5291.15[/C][C]5325.67[/C][C]5963.14[/C][C]-637.47[/C][C]-34.5238[/C][/ROW]
[ROW][C]104[/C][C]5986.45[/C][C]5844.18[/C][C]5982.54[/C][C]-138.363[/C][C]142.272[/C][/ROW]
[ROW][C]105[/C][C]6538.15[/C][C]6369.98[/C][C]6023.8[/C][C]346.179[/C][C]168.169[/C][/ROW]
[ROW][C]106[/C][C]6442.8[/C][C]6286.87[/C][C]6063.78[/C][C]223.085[/C][C]155.933[/C][/ROW]
[ROW][C]107[/C][C]6169.55[/C][C]6060.5[/C][C]6085.51[/C][C]-25.01[/C][C]109.052[/C][/ROW]
[ROW][C]108[/C][C]5793[/C][C]6037.59[/C][C]6112.19[/C][C]-74.6054[/C][C]-244.586[/C][/ROW]
[ROW][C]109[/C][C]5254.85[/C][C]5494.29[/C][C]6138.31[/C][C]-644.022[/C][C]-239.436[/C][/ROW]
[ROW][C]110[/C][C]6050.75[/C][C]6145.56[/C][C]6153.59[/C][C]-8.02671[/C][C]-94.8108[/C][/ROW]
[ROW][C]111[/C][C]6606.15[/C][C]NA[/C][C]NA[/C][C]343.539[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]6221.15[/C][C]NA[/C][C]NA[/C][C]38.2854[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]6293.4[/C][C]NA[/C][C]NA[/C][C]86.9968[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6908.4[/C][C]NA[/C][C]NA[/C][C]489.412[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5498.95[/C][C]NA[/C][C]NA[/C][C]-637.47[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]6145.35[/C][C]NA[/C][C]NA[/C][C]-138.363[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298051&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298051&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
13567.2NANA-644.022NA
23968.25NANA-8.02671NA
34285.35NANA343.539NA
44130.95NANA38.2854NA
54219.4NANA86.9968NA
64626.2NANA489.412NA
73860.753667.554305.02-637.47193.199
84174.154233.64371.96-138.363-59.4471
94668.654789.934443.75346.179-121.281
104630.054734.164511.07223.085-104.106
114553.74547.334572.34-25.016.37463
124603.854555.784630.38-74.605448.0721
134310.74037.914681.93-644.022272.789
144831.34723.464731.49-8.02671107.835
155145.35119.494775.95343.53925.8092
164886.654853.364815.0738.285433.2917
174934.054940.884853.8886.9968-6.82598
185304.75373.784884.36489.412-69.077
194419.454267.674905.14-637.47151.782
204804.854782.414920.77-138.36322.4404
2151055284.724938.54346.179-179.723
225132.65178.714955.63223.085-46.1124
234982.54946.154971.16-25.0136.3455
244906.74911.354985.96-74.6054-4.65292
254506.44352.194996.21-644.022154.207
265010.854997.95005.92-8.0267112.9517
275392.255365.535021.99343.53926.7175
285049.75077.385039.138.2854-27.6812
295143.95138.515051.5186.99685.39277
305449.95550.095060.68489.412-100.19
314520.44433.845071.31-637.4786.5596
324936.954947.155085.52-138.363-10.2034
335358.555437.835091.65346.179-79.2768
345289.55323.975100.89223.085-34.4728
355123.555087.195112.2-25.0136.358
364985.655045.375119.98-74.6054-59.7217
374682.654486.075130.09-644.022196.58
385175.555124.135132.16-8.0267151.4184
395374.75477.835134.3343.539-103.135
4052895179.825141.5338.2854109.183
415176.155230.145143.1486.9968-53.9864
425604.2556415151.59489.412-36.752
434608.84522.225159.69-637.4786.5846
444898.155027.945166.3-138.363-129.789
455448.655536.415190.23346.179-87.7559
465373.055431.265208.18223.085-58.2145
475078.65192.785217.79-25.01-114.182
485233.45157.95232.5-74.605475.5033
494629.24604.585248.61-644.02224.6158
505387.85257.985266.01-8.02671129.82
515736.655635.555292.01343.539101.099
525357.95362.115323.8238.2854-4.21036
535337.955445.085358.0886.9968-107.126
545795.55881.245391.82489.412-85.7354
554804.054783.665421.13-637.4720.3908
565120.55309.355447.72-138.363-188.853
575850.455824.455478.27346.17925.9982
585734.755739.985516.89223.085-5.22699
5955395536.475561.48-25.012.52879
605582.855538.615613.21-74.605444.2408
614983.15011.535655.55-644.022-28.4321
6256725688.595696.62-8.02671-16.5941
636185.86089.415745.87343.53996.3883
645835.65828.285789.9938.28547.32089
655930.45917.495830.4986.996812.9136
666444.656364.45874.98489.41280.2542
675171.055286.995924.46-637.47-115.945
685739.15830.175968.53-138.363-91.068
696413.96346.145999.96346.17967.7587
706230.26249.796026.7223.085-19.5853
716015.456026.866051.87-25.01-11.4087
726174.255992.546067.14-74.6054181.712
735579.255425.776069.79-644.022153.48
746133.456071.856079.88-8.0267161.6017
756478.76439.076095.54343.53939.6258
766184.46135.736097.4538.285448.6667
776185.656183.296096.386.99682.35735
7865566580.396090.97489.412-24.3854
795123.255428.896066.36-637.47-305.638
806028.95907.326045.68-138.363121.582
816499.956396.186050346.179103.769
826190.056274.776051.68223.085-84.7187
836027.956029.066054.07-25.01-1.11287
8460345997.576072.18-74.605436.4304
855128.755451.376095.39-644.022-322.615
866087.76105.346113.36-8.02671-17.6379
876628.156463.736120.19343.539164.424
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1066442.86286.876063.78223.085155.933
1076169.556060.56085.51-25.01109.052
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1095254.855494.296138.31-644.022-239.436
1106050.756145.566153.59-8.02671-94.8108
1116606.15NANA343.539NA
1126221.15NANA38.2854NA
1136293.4NANA86.9968NA
1146908.4NANA489.412NA
1155498.95NANA-637.47NA
1166145.35NANA-138.363NA



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')