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Author's title

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 10:57:45 +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/t1481105236qvqk0xs2hr0egvd.htm/, Retrieved Tue, 07 May 2024 13:45:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297950, Retrieved Tue, 07 May 2024 13:45:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
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 09:57:45] [c3c00422a8efeb721f46880d0369ae73] [Current]
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Dataseries X:
2700
3900
3850
3800
3800
3700
3950
3950
4150
4050
4200
3850
2950
4050
4200
4050
4100
4000
4100
4100
4300
4250
4300
3700
2900
4150
4300
4000
4100
4050
4100
4150
4200
4350
4450
3900
3100
4500
4450
4300
4350
4200
4250
4350
4550
4600
4700
4000
3200
4550
4700
4500
4550
4450
4550
4600
4850
4950
5050
4250
3550
5000
5000
4750
4750
4800
4900
4950
5100
5150
5150
4550
3700
5350
5200
5100
5050
4950
4950
4900
5200
5300
5500
4750
3950
5400
5300
5200
5100
5250
5200
5250
5500
5550
5600
4800
3700
4800
5400
5200
5250
5150
5100
5300
5650
5700
5800
5150
4100
5700
5900
5500
5800
5450
5950
6100
6400
6100
6150
5500
4500
6400
6150
5800
6150
6050




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=297950&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=297950&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297950&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
12700NANA-1186.4NA
23900NANA166.609NA
33850NANA251.794NA
43800NANA26.331NA
53800NANA57.8125NA
63700NANA-42.1875NA
739503875.453835.4240.034774.5486
839503934.23852.0882.118115.7986
941504160.033872.92287.118-10.0347
1040504177.123897.92279.201-127.118
1142004271.913920.83351.076-71.9097
1238503632.333945.83-313.507217.674
1329502778.183964.58-1186.4171.817
1440504143.693977.08166.609-93.6921
1542004241.383989.58251.794-41.3773
1640504030.54004.1726.33119.5023
1741004074.484016.6757.812525.5208
1840003972.44014.58-42.187527.6042
1941004046.284006.2540.034753.7153
2041004090.454008.3382.11819.54861
2143004303.784016.67287.118-3.78472
2242504297.954018.75279.201-47.9514
2343004367.744016.67351.076-67.7431
2437003705.244018.75-313.507-5.24306
2529002834.434020.83-1186.465.5671
2641504189.534022.92166.609-39.5255
2743004272.634020.83251.79427.3727
2840004047.164020.8326.331-47.1644
2941004089.064031.2557.812510.9375
3040504003.654045.83-42.187546.3542
3141004102.534062.540.0347-2.53472
3241504167.534085.4282.1181-17.5347
3342004393.374106.25287.118-193.368
3443504404.24125279.201-54.2014
3544504498.994147.92351.076-48.9931
3639003851.084164.58-313.50748.9236
3731002990.684177.08-1186.4109.317
3845004358.284191.67166.609141.725
3944504466.384214.58251.794-16.3773
4043004265.914239.5826.33134.0856
4143504318.234260.4257.812531.7708
4242004232.814275-42.1875-32.8125
4342504323.374283.3340.0347-73.3681
4443504371.74289.5882.1181-21.7014
4545504589.24302.08287.118-39.2014
4646004600.034320.83279.201-0.0347222
4747004688.584337.5351.07611.4236
4840004042.744356.25-313.507-42.7431
4932003192.774379.17-1186.47.2338
5045504568.694402.08166.609-18.6921
5147004676.794425251.79423.206
5245004478.414452.0826.33121.5856
5345504539.064481.2557.812510.9375
5444504464.064506.25-42.1875-14.0625
5545504571.284531.2540.0347-21.2847
5646004646.74564.5882.1181-46.7014
5748504882.954595.83287.118-32.9514
5849504897.954618.75279.20152.0486
5950504988.584637.5351.07661.4236
6042504346.914660.42-313.507-96.9097
6135503503.184689.58-1186.446.8171
6250004885.364718.75166.609114.641
6350004995.544743.75251.7944.45602
6447504788.834762.526.331-38.831
6547504832.81477557.8125-82.8125
6648004749.484791.67-42.187550.5208
6749004850.454810.4240.034749.5486
6849504913.374831.2582.118136.6319
6951005141.284854.17287.118-41.2847
7051505156.284877.08279.201-6.28472
7151505255.244904.17351.076-105.243
7245504609.414922.92-313.507-59.4097
7337003744.854931.25-1186.4-44.8495
7453505097.864931.25166.609252.141
7552005185.134933.33251.79414.8727
7651004970.084943.7526.331129.919
7750505022.44964.5857.812527.6042
7849504945.314987.5-42.18754.6875
7949505046.285006.2540.0347-96.2847
8049005100.875018.7582.1181-200.868
8152005312.125025287.118-112.118
8253005312.535033.33279.201-12.5347
8355005390.665039.58351.076109.34
8447504740.665054.17-313.5079.34028
8539503890.685077.08-1186.459.3171
8654005268.695102.08166.609131.308
8753005380.965129.17251.794-80.9606
8852005178.415152.0826.33121.5856
8951005224.485166.6757.8125-124.479
9052505130.735172.92-42.1875119.271
9152005204.625164.5840.0347-4.61806
9252505211.285129.1782.118138.7153
9355005395.455108.33287.118104.549
9455505391.75112.5279.201158.299
9556005469.835118.75351.076130.174
9648004807.335120.83-313.507-7.32639
9737003926.15112.5-1186.4-226.1
9848005277.035110.42166.609-477.025
9954005370.545118.75251.79429.456
10052005157.585131.2526.33142.419
10152505203.655145.8357.812546.3542
10251505126.565168.75-42.187523.4375
10351005240.03520040.0347-140.035
10453005336.285254.1782.1181-36.2847
10556505599.625312.5287.11850.3819
10657005625.035345.83279.20174.9653
10758005732.335381.25351.07667.6736
10851505103.165416.67-313.50746.8403
10941004278.185464.58-1186.4-178.183
11057005699.945533.33166.6090.0578704
11159005849.715597.92251.79450.2894
11255005672.165645.8326.331-172.164
11358005734.95677.0857.812565.1042
11454505664.065706.25-42.1875-214.062
11559505777.535737.540.0347172.465
11661005865.455783.3382.1181234.549
11764006110.035822.92287.118289.965
11861006125.035845.83279.201-25.0347
11961506223.995872.92351.076-73.9931
12055005598.995912.5-313.507-98.9931
1214500NANA-1186.4NA
1226400NANA166.609NA
1236150NANA251.794NA
1245800NANA26.331NA
1256150NANA57.8125NA
1266050NANA-42.1875NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2700 & NA & NA & -1186.4 & NA \tabularnewline
2 & 3900 & NA & NA & 166.609 & NA \tabularnewline
3 & 3850 & NA & NA & 251.794 & NA \tabularnewline
4 & 3800 & NA & NA & 26.331 & NA \tabularnewline
5 & 3800 & NA & NA & 57.8125 & NA \tabularnewline
6 & 3700 & NA & NA & -42.1875 & NA \tabularnewline
7 & 3950 & 3875.45 & 3835.42 & 40.0347 & 74.5486 \tabularnewline
8 & 3950 & 3934.2 & 3852.08 & 82.1181 & 15.7986 \tabularnewline
9 & 4150 & 4160.03 & 3872.92 & 287.118 & -10.0347 \tabularnewline
10 & 4050 & 4177.12 & 3897.92 & 279.201 & -127.118 \tabularnewline
11 & 4200 & 4271.91 & 3920.83 & 351.076 & -71.9097 \tabularnewline
12 & 3850 & 3632.33 & 3945.83 & -313.507 & 217.674 \tabularnewline
13 & 2950 & 2778.18 & 3964.58 & -1186.4 & 171.817 \tabularnewline
14 & 4050 & 4143.69 & 3977.08 & 166.609 & -93.6921 \tabularnewline
15 & 4200 & 4241.38 & 3989.58 & 251.794 & -41.3773 \tabularnewline
16 & 4050 & 4030.5 & 4004.17 & 26.331 & 19.5023 \tabularnewline
17 & 4100 & 4074.48 & 4016.67 & 57.8125 & 25.5208 \tabularnewline
18 & 4000 & 3972.4 & 4014.58 & -42.1875 & 27.6042 \tabularnewline
19 & 4100 & 4046.28 & 4006.25 & 40.0347 & 53.7153 \tabularnewline
20 & 4100 & 4090.45 & 4008.33 & 82.1181 & 9.54861 \tabularnewline
21 & 4300 & 4303.78 & 4016.67 & 287.118 & -3.78472 \tabularnewline
22 & 4250 & 4297.95 & 4018.75 & 279.201 & -47.9514 \tabularnewline
23 & 4300 & 4367.74 & 4016.67 & 351.076 & -67.7431 \tabularnewline
24 & 3700 & 3705.24 & 4018.75 & -313.507 & -5.24306 \tabularnewline
25 & 2900 & 2834.43 & 4020.83 & -1186.4 & 65.5671 \tabularnewline
26 & 4150 & 4189.53 & 4022.92 & 166.609 & -39.5255 \tabularnewline
27 & 4300 & 4272.63 & 4020.83 & 251.794 & 27.3727 \tabularnewline
28 & 4000 & 4047.16 & 4020.83 & 26.331 & -47.1644 \tabularnewline
29 & 4100 & 4089.06 & 4031.25 & 57.8125 & 10.9375 \tabularnewline
30 & 4050 & 4003.65 & 4045.83 & -42.1875 & 46.3542 \tabularnewline
31 & 4100 & 4102.53 & 4062.5 & 40.0347 & -2.53472 \tabularnewline
32 & 4150 & 4167.53 & 4085.42 & 82.1181 & -17.5347 \tabularnewline
33 & 4200 & 4393.37 & 4106.25 & 287.118 & -193.368 \tabularnewline
34 & 4350 & 4404.2 & 4125 & 279.201 & -54.2014 \tabularnewline
35 & 4450 & 4498.99 & 4147.92 & 351.076 & -48.9931 \tabularnewline
36 & 3900 & 3851.08 & 4164.58 & -313.507 & 48.9236 \tabularnewline
37 & 3100 & 2990.68 & 4177.08 & -1186.4 & 109.317 \tabularnewline
38 & 4500 & 4358.28 & 4191.67 & 166.609 & 141.725 \tabularnewline
39 & 4450 & 4466.38 & 4214.58 & 251.794 & -16.3773 \tabularnewline
40 & 4300 & 4265.91 & 4239.58 & 26.331 & 34.0856 \tabularnewline
41 & 4350 & 4318.23 & 4260.42 & 57.8125 & 31.7708 \tabularnewline
42 & 4200 & 4232.81 & 4275 & -42.1875 & -32.8125 \tabularnewline
43 & 4250 & 4323.37 & 4283.33 & 40.0347 & -73.3681 \tabularnewline
44 & 4350 & 4371.7 & 4289.58 & 82.1181 & -21.7014 \tabularnewline
45 & 4550 & 4589.2 & 4302.08 & 287.118 & -39.2014 \tabularnewline
46 & 4600 & 4600.03 & 4320.83 & 279.201 & -0.0347222 \tabularnewline
47 & 4700 & 4688.58 & 4337.5 & 351.076 & 11.4236 \tabularnewline
48 & 4000 & 4042.74 & 4356.25 & -313.507 & -42.7431 \tabularnewline
49 & 3200 & 3192.77 & 4379.17 & -1186.4 & 7.2338 \tabularnewline
50 & 4550 & 4568.69 & 4402.08 & 166.609 & -18.6921 \tabularnewline
51 & 4700 & 4676.79 & 4425 & 251.794 & 23.206 \tabularnewline
52 & 4500 & 4478.41 & 4452.08 & 26.331 & 21.5856 \tabularnewline
53 & 4550 & 4539.06 & 4481.25 & 57.8125 & 10.9375 \tabularnewline
54 & 4450 & 4464.06 & 4506.25 & -42.1875 & -14.0625 \tabularnewline
55 & 4550 & 4571.28 & 4531.25 & 40.0347 & -21.2847 \tabularnewline
56 & 4600 & 4646.7 & 4564.58 & 82.1181 & -46.7014 \tabularnewline
57 & 4850 & 4882.95 & 4595.83 & 287.118 & -32.9514 \tabularnewline
58 & 4950 & 4897.95 & 4618.75 & 279.201 & 52.0486 \tabularnewline
59 & 5050 & 4988.58 & 4637.5 & 351.076 & 61.4236 \tabularnewline
60 & 4250 & 4346.91 & 4660.42 & -313.507 & -96.9097 \tabularnewline
61 & 3550 & 3503.18 & 4689.58 & -1186.4 & 46.8171 \tabularnewline
62 & 5000 & 4885.36 & 4718.75 & 166.609 & 114.641 \tabularnewline
63 & 5000 & 4995.54 & 4743.75 & 251.794 & 4.45602 \tabularnewline
64 & 4750 & 4788.83 & 4762.5 & 26.331 & -38.831 \tabularnewline
65 & 4750 & 4832.81 & 4775 & 57.8125 & -82.8125 \tabularnewline
66 & 4800 & 4749.48 & 4791.67 & -42.1875 & 50.5208 \tabularnewline
67 & 4900 & 4850.45 & 4810.42 & 40.0347 & 49.5486 \tabularnewline
68 & 4950 & 4913.37 & 4831.25 & 82.1181 & 36.6319 \tabularnewline
69 & 5100 & 5141.28 & 4854.17 & 287.118 & -41.2847 \tabularnewline
70 & 5150 & 5156.28 & 4877.08 & 279.201 & -6.28472 \tabularnewline
71 & 5150 & 5255.24 & 4904.17 & 351.076 & -105.243 \tabularnewline
72 & 4550 & 4609.41 & 4922.92 & -313.507 & -59.4097 \tabularnewline
73 & 3700 & 3744.85 & 4931.25 & -1186.4 & -44.8495 \tabularnewline
74 & 5350 & 5097.86 & 4931.25 & 166.609 & 252.141 \tabularnewline
75 & 5200 & 5185.13 & 4933.33 & 251.794 & 14.8727 \tabularnewline
76 & 5100 & 4970.08 & 4943.75 & 26.331 & 129.919 \tabularnewline
77 & 5050 & 5022.4 & 4964.58 & 57.8125 & 27.6042 \tabularnewline
78 & 4950 & 4945.31 & 4987.5 & -42.1875 & 4.6875 \tabularnewline
79 & 4950 & 5046.28 & 5006.25 & 40.0347 & -96.2847 \tabularnewline
80 & 4900 & 5100.87 & 5018.75 & 82.1181 & -200.868 \tabularnewline
81 & 5200 & 5312.12 & 5025 & 287.118 & -112.118 \tabularnewline
82 & 5300 & 5312.53 & 5033.33 & 279.201 & -12.5347 \tabularnewline
83 & 5500 & 5390.66 & 5039.58 & 351.076 & 109.34 \tabularnewline
84 & 4750 & 4740.66 & 5054.17 & -313.507 & 9.34028 \tabularnewline
85 & 3950 & 3890.68 & 5077.08 & -1186.4 & 59.3171 \tabularnewline
86 & 5400 & 5268.69 & 5102.08 & 166.609 & 131.308 \tabularnewline
87 & 5300 & 5380.96 & 5129.17 & 251.794 & -80.9606 \tabularnewline
88 & 5200 & 5178.41 & 5152.08 & 26.331 & 21.5856 \tabularnewline
89 & 5100 & 5224.48 & 5166.67 & 57.8125 & -124.479 \tabularnewline
90 & 5250 & 5130.73 & 5172.92 & -42.1875 & 119.271 \tabularnewline
91 & 5200 & 5204.62 & 5164.58 & 40.0347 & -4.61806 \tabularnewline
92 & 5250 & 5211.28 & 5129.17 & 82.1181 & 38.7153 \tabularnewline
93 & 5500 & 5395.45 & 5108.33 & 287.118 & 104.549 \tabularnewline
94 & 5550 & 5391.7 & 5112.5 & 279.201 & 158.299 \tabularnewline
95 & 5600 & 5469.83 & 5118.75 & 351.076 & 130.174 \tabularnewline
96 & 4800 & 4807.33 & 5120.83 & -313.507 & -7.32639 \tabularnewline
97 & 3700 & 3926.1 & 5112.5 & -1186.4 & -226.1 \tabularnewline
98 & 4800 & 5277.03 & 5110.42 & 166.609 & -477.025 \tabularnewline
99 & 5400 & 5370.54 & 5118.75 & 251.794 & 29.456 \tabularnewline
100 & 5200 & 5157.58 & 5131.25 & 26.331 & 42.419 \tabularnewline
101 & 5250 & 5203.65 & 5145.83 & 57.8125 & 46.3542 \tabularnewline
102 & 5150 & 5126.56 & 5168.75 & -42.1875 & 23.4375 \tabularnewline
103 & 5100 & 5240.03 & 5200 & 40.0347 & -140.035 \tabularnewline
104 & 5300 & 5336.28 & 5254.17 & 82.1181 & -36.2847 \tabularnewline
105 & 5650 & 5599.62 & 5312.5 & 287.118 & 50.3819 \tabularnewline
106 & 5700 & 5625.03 & 5345.83 & 279.201 & 74.9653 \tabularnewline
107 & 5800 & 5732.33 & 5381.25 & 351.076 & 67.6736 \tabularnewline
108 & 5150 & 5103.16 & 5416.67 & -313.507 & 46.8403 \tabularnewline
109 & 4100 & 4278.18 & 5464.58 & -1186.4 & -178.183 \tabularnewline
110 & 5700 & 5699.94 & 5533.33 & 166.609 & 0.0578704 \tabularnewline
111 & 5900 & 5849.71 & 5597.92 & 251.794 & 50.2894 \tabularnewline
112 & 5500 & 5672.16 & 5645.83 & 26.331 & -172.164 \tabularnewline
113 & 5800 & 5734.9 & 5677.08 & 57.8125 & 65.1042 \tabularnewline
114 & 5450 & 5664.06 & 5706.25 & -42.1875 & -214.062 \tabularnewline
115 & 5950 & 5777.53 & 5737.5 & 40.0347 & 172.465 \tabularnewline
116 & 6100 & 5865.45 & 5783.33 & 82.1181 & 234.549 \tabularnewline
117 & 6400 & 6110.03 & 5822.92 & 287.118 & 289.965 \tabularnewline
118 & 6100 & 6125.03 & 5845.83 & 279.201 & -25.0347 \tabularnewline
119 & 6150 & 6223.99 & 5872.92 & 351.076 & -73.9931 \tabularnewline
120 & 5500 & 5598.99 & 5912.5 & -313.507 & -98.9931 \tabularnewline
121 & 4500 & NA & NA & -1186.4 & NA \tabularnewline
122 & 6400 & NA & NA & 166.609 & NA \tabularnewline
123 & 6150 & NA & NA & 251.794 & NA \tabularnewline
124 & 5800 & NA & NA & 26.331 & NA \tabularnewline
125 & 6150 & NA & NA & 57.8125 & NA \tabularnewline
126 & 6050 & NA & NA & -42.1875 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297950&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]2700[/C][C]NA[/C][C]NA[/C][C]-1186.4[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3900[/C][C]NA[/C][C]NA[/C][C]166.609[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3850[/C][C]NA[/C][C]NA[/C][C]251.794[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3800[/C][C]NA[/C][C]NA[/C][C]26.331[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3800[/C][C]NA[/C][C]NA[/C][C]57.8125[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3700[/C][C]NA[/C][C]NA[/C][C]-42.1875[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3950[/C][C]3875.45[/C][C]3835.42[/C][C]40.0347[/C][C]74.5486[/C][/ROW]
[ROW][C]8[/C][C]3950[/C][C]3934.2[/C][C]3852.08[/C][C]82.1181[/C][C]15.7986[/C][/ROW]
[ROW][C]9[/C][C]4150[/C][C]4160.03[/C][C]3872.92[/C][C]287.118[/C][C]-10.0347[/C][/ROW]
[ROW][C]10[/C][C]4050[/C][C]4177.12[/C][C]3897.92[/C][C]279.201[/C][C]-127.118[/C][/ROW]
[ROW][C]11[/C][C]4200[/C][C]4271.91[/C][C]3920.83[/C][C]351.076[/C][C]-71.9097[/C][/ROW]
[ROW][C]12[/C][C]3850[/C][C]3632.33[/C][C]3945.83[/C][C]-313.507[/C][C]217.674[/C][/ROW]
[ROW][C]13[/C][C]2950[/C][C]2778.18[/C][C]3964.58[/C][C]-1186.4[/C][C]171.817[/C][/ROW]
[ROW][C]14[/C][C]4050[/C][C]4143.69[/C][C]3977.08[/C][C]166.609[/C][C]-93.6921[/C][/ROW]
[ROW][C]15[/C][C]4200[/C][C]4241.38[/C][C]3989.58[/C][C]251.794[/C][C]-41.3773[/C][/ROW]
[ROW][C]16[/C][C]4050[/C][C]4030.5[/C][C]4004.17[/C][C]26.331[/C][C]19.5023[/C][/ROW]
[ROW][C]17[/C][C]4100[/C][C]4074.48[/C][C]4016.67[/C][C]57.8125[/C][C]25.5208[/C][/ROW]
[ROW][C]18[/C][C]4000[/C][C]3972.4[/C][C]4014.58[/C][C]-42.1875[/C][C]27.6042[/C][/ROW]
[ROW][C]19[/C][C]4100[/C][C]4046.28[/C][C]4006.25[/C][C]40.0347[/C][C]53.7153[/C][/ROW]
[ROW][C]20[/C][C]4100[/C][C]4090.45[/C][C]4008.33[/C][C]82.1181[/C][C]9.54861[/C][/ROW]
[ROW][C]21[/C][C]4300[/C][C]4303.78[/C][C]4016.67[/C][C]287.118[/C][C]-3.78472[/C][/ROW]
[ROW][C]22[/C][C]4250[/C][C]4297.95[/C][C]4018.75[/C][C]279.201[/C][C]-47.9514[/C][/ROW]
[ROW][C]23[/C][C]4300[/C][C]4367.74[/C][C]4016.67[/C][C]351.076[/C][C]-67.7431[/C][/ROW]
[ROW][C]24[/C][C]3700[/C][C]3705.24[/C][C]4018.75[/C][C]-313.507[/C][C]-5.24306[/C][/ROW]
[ROW][C]25[/C][C]2900[/C][C]2834.43[/C][C]4020.83[/C][C]-1186.4[/C][C]65.5671[/C][/ROW]
[ROW][C]26[/C][C]4150[/C][C]4189.53[/C][C]4022.92[/C][C]166.609[/C][C]-39.5255[/C][/ROW]
[ROW][C]27[/C][C]4300[/C][C]4272.63[/C][C]4020.83[/C][C]251.794[/C][C]27.3727[/C][/ROW]
[ROW][C]28[/C][C]4000[/C][C]4047.16[/C][C]4020.83[/C][C]26.331[/C][C]-47.1644[/C][/ROW]
[ROW][C]29[/C][C]4100[/C][C]4089.06[/C][C]4031.25[/C][C]57.8125[/C][C]10.9375[/C][/ROW]
[ROW][C]30[/C][C]4050[/C][C]4003.65[/C][C]4045.83[/C][C]-42.1875[/C][C]46.3542[/C][/ROW]
[ROW][C]31[/C][C]4100[/C][C]4102.53[/C][C]4062.5[/C][C]40.0347[/C][C]-2.53472[/C][/ROW]
[ROW][C]32[/C][C]4150[/C][C]4167.53[/C][C]4085.42[/C][C]82.1181[/C][C]-17.5347[/C][/ROW]
[ROW][C]33[/C][C]4200[/C][C]4393.37[/C][C]4106.25[/C][C]287.118[/C][C]-193.368[/C][/ROW]
[ROW][C]34[/C][C]4350[/C][C]4404.2[/C][C]4125[/C][C]279.201[/C][C]-54.2014[/C][/ROW]
[ROW][C]35[/C][C]4450[/C][C]4498.99[/C][C]4147.92[/C][C]351.076[/C][C]-48.9931[/C][/ROW]
[ROW][C]36[/C][C]3900[/C][C]3851.08[/C][C]4164.58[/C][C]-313.507[/C][C]48.9236[/C][/ROW]
[ROW][C]37[/C][C]3100[/C][C]2990.68[/C][C]4177.08[/C][C]-1186.4[/C][C]109.317[/C][/ROW]
[ROW][C]38[/C][C]4500[/C][C]4358.28[/C][C]4191.67[/C][C]166.609[/C][C]141.725[/C][/ROW]
[ROW][C]39[/C][C]4450[/C][C]4466.38[/C][C]4214.58[/C][C]251.794[/C][C]-16.3773[/C][/ROW]
[ROW][C]40[/C][C]4300[/C][C]4265.91[/C][C]4239.58[/C][C]26.331[/C][C]34.0856[/C][/ROW]
[ROW][C]41[/C][C]4350[/C][C]4318.23[/C][C]4260.42[/C][C]57.8125[/C][C]31.7708[/C][/ROW]
[ROW][C]42[/C][C]4200[/C][C]4232.81[/C][C]4275[/C][C]-42.1875[/C][C]-32.8125[/C][/ROW]
[ROW][C]43[/C][C]4250[/C][C]4323.37[/C][C]4283.33[/C][C]40.0347[/C][C]-73.3681[/C][/ROW]
[ROW][C]44[/C][C]4350[/C][C]4371.7[/C][C]4289.58[/C][C]82.1181[/C][C]-21.7014[/C][/ROW]
[ROW][C]45[/C][C]4550[/C][C]4589.2[/C][C]4302.08[/C][C]287.118[/C][C]-39.2014[/C][/ROW]
[ROW][C]46[/C][C]4600[/C][C]4600.03[/C][C]4320.83[/C][C]279.201[/C][C]-0.0347222[/C][/ROW]
[ROW][C]47[/C][C]4700[/C][C]4688.58[/C][C]4337.5[/C][C]351.076[/C][C]11.4236[/C][/ROW]
[ROW][C]48[/C][C]4000[/C][C]4042.74[/C][C]4356.25[/C][C]-313.507[/C][C]-42.7431[/C][/ROW]
[ROW][C]49[/C][C]3200[/C][C]3192.77[/C][C]4379.17[/C][C]-1186.4[/C][C]7.2338[/C][/ROW]
[ROW][C]50[/C][C]4550[/C][C]4568.69[/C][C]4402.08[/C][C]166.609[/C][C]-18.6921[/C][/ROW]
[ROW][C]51[/C][C]4700[/C][C]4676.79[/C][C]4425[/C][C]251.794[/C][C]23.206[/C][/ROW]
[ROW][C]52[/C][C]4500[/C][C]4478.41[/C][C]4452.08[/C][C]26.331[/C][C]21.5856[/C][/ROW]
[ROW][C]53[/C][C]4550[/C][C]4539.06[/C][C]4481.25[/C][C]57.8125[/C][C]10.9375[/C][/ROW]
[ROW][C]54[/C][C]4450[/C][C]4464.06[/C][C]4506.25[/C][C]-42.1875[/C][C]-14.0625[/C][/ROW]
[ROW][C]55[/C][C]4550[/C][C]4571.28[/C][C]4531.25[/C][C]40.0347[/C][C]-21.2847[/C][/ROW]
[ROW][C]56[/C][C]4600[/C][C]4646.7[/C][C]4564.58[/C][C]82.1181[/C][C]-46.7014[/C][/ROW]
[ROW][C]57[/C][C]4850[/C][C]4882.95[/C][C]4595.83[/C][C]287.118[/C][C]-32.9514[/C][/ROW]
[ROW][C]58[/C][C]4950[/C][C]4897.95[/C][C]4618.75[/C][C]279.201[/C][C]52.0486[/C][/ROW]
[ROW][C]59[/C][C]5050[/C][C]4988.58[/C][C]4637.5[/C][C]351.076[/C][C]61.4236[/C][/ROW]
[ROW][C]60[/C][C]4250[/C][C]4346.91[/C][C]4660.42[/C][C]-313.507[/C][C]-96.9097[/C][/ROW]
[ROW][C]61[/C][C]3550[/C][C]3503.18[/C][C]4689.58[/C][C]-1186.4[/C][C]46.8171[/C][/ROW]
[ROW][C]62[/C][C]5000[/C][C]4885.36[/C][C]4718.75[/C][C]166.609[/C][C]114.641[/C][/ROW]
[ROW][C]63[/C][C]5000[/C][C]4995.54[/C][C]4743.75[/C][C]251.794[/C][C]4.45602[/C][/ROW]
[ROW][C]64[/C][C]4750[/C][C]4788.83[/C][C]4762.5[/C][C]26.331[/C][C]-38.831[/C][/ROW]
[ROW][C]65[/C][C]4750[/C][C]4832.81[/C][C]4775[/C][C]57.8125[/C][C]-82.8125[/C][/ROW]
[ROW][C]66[/C][C]4800[/C][C]4749.48[/C][C]4791.67[/C][C]-42.1875[/C][C]50.5208[/C][/ROW]
[ROW][C]67[/C][C]4900[/C][C]4850.45[/C][C]4810.42[/C][C]40.0347[/C][C]49.5486[/C][/ROW]
[ROW][C]68[/C][C]4950[/C][C]4913.37[/C][C]4831.25[/C][C]82.1181[/C][C]36.6319[/C][/ROW]
[ROW][C]69[/C][C]5100[/C][C]5141.28[/C][C]4854.17[/C][C]287.118[/C][C]-41.2847[/C][/ROW]
[ROW][C]70[/C][C]5150[/C][C]5156.28[/C][C]4877.08[/C][C]279.201[/C][C]-6.28472[/C][/ROW]
[ROW][C]71[/C][C]5150[/C][C]5255.24[/C][C]4904.17[/C][C]351.076[/C][C]-105.243[/C][/ROW]
[ROW][C]72[/C][C]4550[/C][C]4609.41[/C][C]4922.92[/C][C]-313.507[/C][C]-59.4097[/C][/ROW]
[ROW][C]73[/C][C]3700[/C][C]3744.85[/C][C]4931.25[/C][C]-1186.4[/C][C]-44.8495[/C][/ROW]
[ROW][C]74[/C][C]5350[/C][C]5097.86[/C][C]4931.25[/C][C]166.609[/C][C]252.141[/C][/ROW]
[ROW][C]75[/C][C]5200[/C][C]5185.13[/C][C]4933.33[/C][C]251.794[/C][C]14.8727[/C][/ROW]
[ROW][C]76[/C][C]5100[/C][C]4970.08[/C][C]4943.75[/C][C]26.331[/C][C]129.919[/C][/ROW]
[ROW][C]77[/C][C]5050[/C][C]5022.4[/C][C]4964.58[/C][C]57.8125[/C][C]27.6042[/C][/ROW]
[ROW][C]78[/C][C]4950[/C][C]4945.31[/C][C]4987.5[/C][C]-42.1875[/C][C]4.6875[/C][/ROW]
[ROW][C]79[/C][C]4950[/C][C]5046.28[/C][C]5006.25[/C][C]40.0347[/C][C]-96.2847[/C][/ROW]
[ROW][C]80[/C][C]4900[/C][C]5100.87[/C][C]5018.75[/C][C]82.1181[/C][C]-200.868[/C][/ROW]
[ROW][C]81[/C][C]5200[/C][C]5312.12[/C][C]5025[/C][C]287.118[/C][C]-112.118[/C][/ROW]
[ROW][C]82[/C][C]5300[/C][C]5312.53[/C][C]5033.33[/C][C]279.201[/C][C]-12.5347[/C][/ROW]
[ROW][C]83[/C][C]5500[/C][C]5390.66[/C][C]5039.58[/C][C]351.076[/C][C]109.34[/C][/ROW]
[ROW][C]84[/C][C]4750[/C][C]4740.66[/C][C]5054.17[/C][C]-313.507[/C][C]9.34028[/C][/ROW]
[ROW][C]85[/C][C]3950[/C][C]3890.68[/C][C]5077.08[/C][C]-1186.4[/C][C]59.3171[/C][/ROW]
[ROW][C]86[/C][C]5400[/C][C]5268.69[/C][C]5102.08[/C][C]166.609[/C][C]131.308[/C][/ROW]
[ROW][C]87[/C][C]5300[/C][C]5380.96[/C][C]5129.17[/C][C]251.794[/C][C]-80.9606[/C][/ROW]
[ROW][C]88[/C][C]5200[/C][C]5178.41[/C][C]5152.08[/C][C]26.331[/C][C]21.5856[/C][/ROW]
[ROW][C]89[/C][C]5100[/C][C]5224.48[/C][C]5166.67[/C][C]57.8125[/C][C]-124.479[/C][/ROW]
[ROW][C]90[/C][C]5250[/C][C]5130.73[/C][C]5172.92[/C][C]-42.1875[/C][C]119.271[/C][/ROW]
[ROW][C]91[/C][C]5200[/C][C]5204.62[/C][C]5164.58[/C][C]40.0347[/C][C]-4.61806[/C][/ROW]
[ROW][C]92[/C][C]5250[/C][C]5211.28[/C][C]5129.17[/C][C]82.1181[/C][C]38.7153[/C][/ROW]
[ROW][C]93[/C][C]5500[/C][C]5395.45[/C][C]5108.33[/C][C]287.118[/C][C]104.549[/C][/ROW]
[ROW][C]94[/C][C]5550[/C][C]5391.7[/C][C]5112.5[/C][C]279.201[/C][C]158.299[/C][/ROW]
[ROW][C]95[/C][C]5600[/C][C]5469.83[/C][C]5118.75[/C][C]351.076[/C][C]130.174[/C][/ROW]
[ROW][C]96[/C][C]4800[/C][C]4807.33[/C][C]5120.83[/C][C]-313.507[/C][C]-7.32639[/C][/ROW]
[ROW][C]97[/C][C]3700[/C][C]3926.1[/C][C]5112.5[/C][C]-1186.4[/C][C]-226.1[/C][/ROW]
[ROW][C]98[/C][C]4800[/C][C]5277.03[/C][C]5110.42[/C][C]166.609[/C][C]-477.025[/C][/ROW]
[ROW][C]99[/C][C]5400[/C][C]5370.54[/C][C]5118.75[/C][C]251.794[/C][C]29.456[/C][/ROW]
[ROW][C]100[/C][C]5200[/C][C]5157.58[/C][C]5131.25[/C][C]26.331[/C][C]42.419[/C][/ROW]
[ROW][C]101[/C][C]5250[/C][C]5203.65[/C][C]5145.83[/C][C]57.8125[/C][C]46.3542[/C][/ROW]
[ROW][C]102[/C][C]5150[/C][C]5126.56[/C][C]5168.75[/C][C]-42.1875[/C][C]23.4375[/C][/ROW]
[ROW][C]103[/C][C]5100[/C][C]5240.03[/C][C]5200[/C][C]40.0347[/C][C]-140.035[/C][/ROW]
[ROW][C]104[/C][C]5300[/C][C]5336.28[/C][C]5254.17[/C][C]82.1181[/C][C]-36.2847[/C][/ROW]
[ROW][C]105[/C][C]5650[/C][C]5599.62[/C][C]5312.5[/C][C]287.118[/C][C]50.3819[/C][/ROW]
[ROW][C]106[/C][C]5700[/C][C]5625.03[/C][C]5345.83[/C][C]279.201[/C][C]74.9653[/C][/ROW]
[ROW][C]107[/C][C]5800[/C][C]5732.33[/C][C]5381.25[/C][C]351.076[/C][C]67.6736[/C][/ROW]
[ROW][C]108[/C][C]5150[/C][C]5103.16[/C][C]5416.67[/C][C]-313.507[/C][C]46.8403[/C][/ROW]
[ROW][C]109[/C][C]4100[/C][C]4278.18[/C][C]5464.58[/C][C]-1186.4[/C][C]-178.183[/C][/ROW]
[ROW][C]110[/C][C]5700[/C][C]5699.94[/C][C]5533.33[/C][C]166.609[/C][C]0.0578704[/C][/ROW]
[ROW][C]111[/C][C]5900[/C][C]5849.71[/C][C]5597.92[/C][C]251.794[/C][C]50.2894[/C][/ROW]
[ROW][C]112[/C][C]5500[/C][C]5672.16[/C][C]5645.83[/C][C]26.331[/C][C]-172.164[/C][/ROW]
[ROW][C]113[/C][C]5800[/C][C]5734.9[/C][C]5677.08[/C][C]57.8125[/C][C]65.1042[/C][/ROW]
[ROW][C]114[/C][C]5450[/C][C]5664.06[/C][C]5706.25[/C][C]-42.1875[/C][C]-214.062[/C][/ROW]
[ROW][C]115[/C][C]5950[/C][C]5777.53[/C][C]5737.5[/C][C]40.0347[/C][C]172.465[/C][/ROW]
[ROW][C]116[/C][C]6100[/C][C]5865.45[/C][C]5783.33[/C][C]82.1181[/C][C]234.549[/C][/ROW]
[ROW][C]117[/C][C]6400[/C][C]6110.03[/C][C]5822.92[/C][C]287.118[/C][C]289.965[/C][/ROW]
[ROW][C]118[/C][C]6100[/C][C]6125.03[/C][C]5845.83[/C][C]279.201[/C][C]-25.0347[/C][/ROW]
[ROW][C]119[/C][C]6150[/C][C]6223.99[/C][C]5872.92[/C][C]351.076[/C][C]-73.9931[/C][/ROW]
[ROW][C]120[/C][C]5500[/C][C]5598.99[/C][C]5912.5[/C][C]-313.507[/C][C]-98.9931[/C][/ROW]
[ROW][C]121[/C][C]4500[/C][C]NA[/C][C]NA[/C][C]-1186.4[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]6400[/C][C]NA[/C][C]NA[/C][C]166.609[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]6150[/C][C]NA[/C][C]NA[/C][C]251.794[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]5800[/C][C]NA[/C][C]NA[/C][C]26.331[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]6150[/C][C]NA[/C][C]NA[/C][C]57.8125[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]6050[/C][C]NA[/C][C]NA[/C][C]-42.1875[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297950&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297950&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
12700NANA-1186.4NA
23900NANA166.609NA
33850NANA251.794NA
43800NANA26.331NA
53800NANA57.8125NA
63700NANA-42.1875NA
739503875.453835.4240.034774.5486
839503934.23852.0882.118115.7986
941504160.033872.92287.118-10.0347
1040504177.123897.92279.201-127.118
1142004271.913920.83351.076-71.9097
1238503632.333945.83-313.507217.674
1329502778.183964.58-1186.4171.817
1440504143.693977.08166.609-93.6921
1542004241.383989.58251.794-41.3773
1640504030.54004.1726.33119.5023
1741004074.484016.6757.812525.5208
1840003972.44014.58-42.187527.6042
1941004046.284006.2540.034753.7153
2041004090.454008.3382.11819.54861
2143004303.784016.67287.118-3.78472
2242504297.954018.75279.201-47.9514
2343004367.744016.67351.076-67.7431
2437003705.244018.75-313.507-5.24306
2529002834.434020.83-1186.465.5671
2641504189.534022.92166.609-39.5255
2743004272.634020.83251.79427.3727
2840004047.164020.8326.331-47.1644
2941004089.064031.2557.812510.9375
3040504003.654045.83-42.187546.3542
3141004102.534062.540.0347-2.53472
3241504167.534085.4282.1181-17.5347
3342004393.374106.25287.118-193.368
3443504404.24125279.201-54.2014
3544504498.994147.92351.076-48.9931
3639003851.084164.58-313.50748.9236
3731002990.684177.08-1186.4109.317
3845004358.284191.67166.609141.725
3944504466.384214.58251.794-16.3773
4043004265.914239.5826.33134.0856
4143504318.234260.4257.812531.7708
4242004232.814275-42.1875-32.8125
4342504323.374283.3340.0347-73.3681
4443504371.74289.5882.1181-21.7014
4545504589.24302.08287.118-39.2014
4646004600.034320.83279.201-0.0347222
4747004688.584337.5351.07611.4236
4840004042.744356.25-313.507-42.7431
4932003192.774379.17-1186.47.2338
5045504568.694402.08166.609-18.6921
5147004676.794425251.79423.206
5245004478.414452.0826.33121.5856
5345504539.064481.2557.812510.9375
5444504464.064506.25-42.1875-14.0625
5545504571.284531.2540.0347-21.2847
5646004646.74564.5882.1181-46.7014
5748504882.954595.83287.118-32.9514
5849504897.954618.75279.20152.0486
5950504988.584637.5351.07661.4236
6042504346.914660.42-313.507-96.9097
6135503503.184689.58-1186.446.8171
6250004885.364718.75166.609114.641
6350004995.544743.75251.7944.45602
6447504788.834762.526.331-38.831
6547504832.81477557.8125-82.8125
6648004749.484791.67-42.187550.5208
6749004850.454810.4240.034749.5486
6849504913.374831.2582.118136.6319
6951005141.284854.17287.118-41.2847
7051505156.284877.08279.201-6.28472
7151505255.244904.17351.076-105.243
7245504609.414922.92-313.507-59.4097
7337003744.854931.25-1186.4-44.8495
7453505097.864931.25166.609252.141
7552005185.134933.33251.79414.8727
7651004970.084943.7526.331129.919
7750505022.44964.5857.812527.6042
7849504945.314987.5-42.18754.6875
7949505046.285006.2540.0347-96.2847
8049005100.875018.7582.1181-200.868
8152005312.125025287.118-112.118
8253005312.535033.33279.201-12.5347
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1214500NANA-1186.4NA
1226400NANA166.609NA
1236150NANA251.794NA
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1266050NANA-42.1875NA



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')