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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 computationThu, 08 Dec 2016 22:35:36 +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/08/t1481233079hj11kow6nw932op.htm/, Retrieved Sat, 27 Apr 2024 16:52:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298401, Retrieved Sat, 27 Apr 2024 16:52:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact50
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2016-12-08 21:35:36] [c0b73e623858a81821526bb2f691ccd9] [Current]
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Dataseries X:
3300
4100
3550
3650
3400
4050
2950
3300
3950
3950
3900
3700
3850
4350
4350
3550
3800
4150
3500
3850
4250
4150
4200
4100
4200
4350
4150
4200
3850
4100
3800
4250
4400
4400
4450
4050
4100
4450
4600
4100
4300
4850
3800
4450
4800
4900
4900
4350
4500
5050
5150
4450
4900
5450
4100
5050
5550
5450
5500
4950
5400
5750
5950
5950
5750
6450
5000
5950
6250
6300
6400
5700
5750
6450
6500
5950
6200
6750
5300
6450
6900
6800
6750
6050
6100
7400
7300
6200
6550
7500
5400
6750
7400
7450
7200
6500
7150
8000
7000
7600
7100
8050
5700
7550
7800
7800
8250
7150
7350
7800
8250
7500
8150
8550





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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=298401&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] [ROW]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298401&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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13300NANA-165.442NA
24100NANA391.85NA
33550NANA249.662NA
43650NANA-165.442NA
53400NANA-151.9NA
64050NANA413.725NA
729502739.273672.92-933.642210.725
833003631.173706.25-75.0772-331.173
939504047.153750297.145-97.1451
1039504025.623779.17246.451-75.6173
1139004037.193791.67245.525-137.191
1237003459.653812.5-352.855240.355
1338503674.143839.58-165.442175.858
1443504277.273885.42391.8572.7334
1543504170.53920.83249.662179.504
1635503776.223941.67-165.442-226.225
1738003810.63962.5-151.9-10.5999
1841504405.393991.67413.725-255.392
1935003089.274022.92-933.642410.725
2038503962.424037.5-75.0772-112.423
2142504326.314029.17297.145-76.3117
2241504294.374047.92246.451-144.367
2342004322.614077.08245.525-122.608
2441003724.234077.08-352.855375.772
2542003922.064087.5-165.442277.942
2643504508.524116.67391.85-158.517
2741504389.254139.58249.662-239.246
2842003990.814156.25-165.442209.192
2938504025.184177.08-151.9-175.183
3041004599.144185.42413.725-499.142
3138003245.524179.17-933.642554.475
3242504104.094179.17-75.0772145.91
3344004499.234202.08297.145-99.2284
3444004463.124216.67246.451-63.1173
3544504476.774231.25245.525-26.7747
3640503928.44281.25-352.855121.605
3741004147.064312.5-165.442-47.0583
3844504712.684320.83391.85-262.683
3946004595.54345.83249.6624.50424
4041004217.894383.33-165.442-117.892
4143004271.024422.92-151.928.9834
4248504867.894454.17413.725-17.8916
4338003549.694483.33-933.642250.309
4444504449.924525-75.07720.0771605
4548004870.064572.92297.145-70.0617
4649004856.874610.42246.45143.1327
4749004895.524650245.5254.47531
4843504347.154700-352.8552.85494
4945004572.064737.5-165.442-72.0583
5050505166.854775391.85-116.85
5151505080.914831.25249.66269.0876
5244504719.974885.42-165.442-269.975
5349004781.434933.33-151.9118.567
5454505397.064983.33413.72552.9417
5541004112.195045.83-933.642-12.1914
5650505037.425112.5-75.077212.5772
5755505472.155175297.14577.8549
5854505517.285270.83246.451-67.284
5955005614.275368.75245.525-114.275
6049505092.985445.83-352.855-142.978
6154005359.565525-165.44240.4417
6257505991.855600391.85-241.85
6359505916.335666.67249.66233.6709
6459505565.815731.25-165.442384.192
6557505652.275804.17-151.997.7334
6664506286.645872.92413.725163.358
6750004985.115918.75-933.64214.892
6859505887.425962.5-75.077262.5772
6962506311.736014.58297.145-61.7284
7063006283.956037.5246.45116.0494
7164006301.776056.25245.52598.2253
7257005734.656087.5-352.855-34.6451
7357505947.066112.5-165.442-197.058
7464506537.686145.83391.85-87.6833
7565006443.416193.75249.66256.5876
7659506076.226241.67-165.442-126.225
7762006125.186277.08-151.974.8167
7867506719.976306.25413.72530.0251
7953005401.776335.42-933.642-101.775
8064506314.516389.58-75.0772135.494
8169006759.656462.5297.145140.355
8268006752.76506.25246.45147.2994
8367506776.776531.25245.525-26.7747
8460506224.236577.08-352.855-174.228
8561006447.066612.5-165.442-347.058
8674007021.026629.17391.85378.983
8773006912.166662.5249.662387.838
8862006544.976710.42-165.442-344.975
8965506604.356756.25-151.9-54.3499
9075007207.476793.75413.725292.525
9154005922.616856.25-933.642-522.608
9267506849.926925-75.0772-99.9228
9374007234.656937.5297.145165.355
9474507229.786983.33246.451220.216
9572007310.117064.58245.525-110.108
9665006757.567110.42-352.855-257.562
9771506980.397145.83-165.442169.608
9880007583.527191.67391.85416.483
9970007491.337241.67249.662-491.329
10076007107.477272.92-165.442492.525
10171007179.357331.25-151.9-79.3499
10280507815.817402.08413.725234.192
10357006503.867437.5-933.642-803.858
10475507362.427437.5-75.0772187.577
10578007778.47481.25297.14521.6049
10678007775.627529.17246.45124.3827
10782507814.277568.75245.525435.725
10871507280.487633.33-352.855-130.478
1097350NANA-165.442NA
1107800NANA391.85NA
1118250NANA249.662NA
1127500NANA-165.442NA
1138150NANA-151.9NA
1148550NANA413.725NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3300 & NA & NA & -165.442 & NA \tabularnewline
2 & 4100 & NA & NA & 391.85 & NA \tabularnewline
3 & 3550 & NA & NA & 249.662 & NA \tabularnewline
4 & 3650 & NA & NA & -165.442 & NA \tabularnewline
5 & 3400 & NA & NA & -151.9 & NA \tabularnewline
6 & 4050 & NA & NA & 413.725 & NA \tabularnewline
7 & 2950 & 2739.27 & 3672.92 & -933.642 & 210.725 \tabularnewline
8 & 3300 & 3631.17 & 3706.25 & -75.0772 & -331.173 \tabularnewline
9 & 3950 & 4047.15 & 3750 & 297.145 & -97.1451 \tabularnewline
10 & 3950 & 4025.62 & 3779.17 & 246.451 & -75.6173 \tabularnewline
11 & 3900 & 4037.19 & 3791.67 & 245.525 & -137.191 \tabularnewline
12 & 3700 & 3459.65 & 3812.5 & -352.855 & 240.355 \tabularnewline
13 & 3850 & 3674.14 & 3839.58 & -165.442 & 175.858 \tabularnewline
14 & 4350 & 4277.27 & 3885.42 & 391.85 & 72.7334 \tabularnewline
15 & 4350 & 4170.5 & 3920.83 & 249.662 & 179.504 \tabularnewline
16 & 3550 & 3776.22 & 3941.67 & -165.442 & -226.225 \tabularnewline
17 & 3800 & 3810.6 & 3962.5 & -151.9 & -10.5999 \tabularnewline
18 & 4150 & 4405.39 & 3991.67 & 413.725 & -255.392 \tabularnewline
19 & 3500 & 3089.27 & 4022.92 & -933.642 & 410.725 \tabularnewline
20 & 3850 & 3962.42 & 4037.5 & -75.0772 & -112.423 \tabularnewline
21 & 4250 & 4326.31 & 4029.17 & 297.145 & -76.3117 \tabularnewline
22 & 4150 & 4294.37 & 4047.92 & 246.451 & -144.367 \tabularnewline
23 & 4200 & 4322.61 & 4077.08 & 245.525 & -122.608 \tabularnewline
24 & 4100 & 3724.23 & 4077.08 & -352.855 & 375.772 \tabularnewline
25 & 4200 & 3922.06 & 4087.5 & -165.442 & 277.942 \tabularnewline
26 & 4350 & 4508.52 & 4116.67 & 391.85 & -158.517 \tabularnewline
27 & 4150 & 4389.25 & 4139.58 & 249.662 & -239.246 \tabularnewline
28 & 4200 & 3990.81 & 4156.25 & -165.442 & 209.192 \tabularnewline
29 & 3850 & 4025.18 & 4177.08 & -151.9 & -175.183 \tabularnewline
30 & 4100 & 4599.14 & 4185.42 & 413.725 & -499.142 \tabularnewline
31 & 3800 & 3245.52 & 4179.17 & -933.642 & 554.475 \tabularnewline
32 & 4250 & 4104.09 & 4179.17 & -75.0772 & 145.91 \tabularnewline
33 & 4400 & 4499.23 & 4202.08 & 297.145 & -99.2284 \tabularnewline
34 & 4400 & 4463.12 & 4216.67 & 246.451 & -63.1173 \tabularnewline
35 & 4450 & 4476.77 & 4231.25 & 245.525 & -26.7747 \tabularnewline
36 & 4050 & 3928.4 & 4281.25 & -352.855 & 121.605 \tabularnewline
37 & 4100 & 4147.06 & 4312.5 & -165.442 & -47.0583 \tabularnewline
38 & 4450 & 4712.68 & 4320.83 & 391.85 & -262.683 \tabularnewline
39 & 4600 & 4595.5 & 4345.83 & 249.662 & 4.50424 \tabularnewline
40 & 4100 & 4217.89 & 4383.33 & -165.442 & -117.892 \tabularnewline
41 & 4300 & 4271.02 & 4422.92 & -151.9 & 28.9834 \tabularnewline
42 & 4850 & 4867.89 & 4454.17 & 413.725 & -17.8916 \tabularnewline
43 & 3800 & 3549.69 & 4483.33 & -933.642 & 250.309 \tabularnewline
44 & 4450 & 4449.92 & 4525 & -75.0772 & 0.0771605 \tabularnewline
45 & 4800 & 4870.06 & 4572.92 & 297.145 & -70.0617 \tabularnewline
46 & 4900 & 4856.87 & 4610.42 & 246.451 & 43.1327 \tabularnewline
47 & 4900 & 4895.52 & 4650 & 245.525 & 4.47531 \tabularnewline
48 & 4350 & 4347.15 & 4700 & -352.855 & 2.85494 \tabularnewline
49 & 4500 & 4572.06 & 4737.5 & -165.442 & -72.0583 \tabularnewline
50 & 5050 & 5166.85 & 4775 & 391.85 & -116.85 \tabularnewline
51 & 5150 & 5080.91 & 4831.25 & 249.662 & 69.0876 \tabularnewline
52 & 4450 & 4719.97 & 4885.42 & -165.442 & -269.975 \tabularnewline
53 & 4900 & 4781.43 & 4933.33 & -151.9 & 118.567 \tabularnewline
54 & 5450 & 5397.06 & 4983.33 & 413.725 & 52.9417 \tabularnewline
55 & 4100 & 4112.19 & 5045.83 & -933.642 & -12.1914 \tabularnewline
56 & 5050 & 5037.42 & 5112.5 & -75.0772 & 12.5772 \tabularnewline
57 & 5550 & 5472.15 & 5175 & 297.145 & 77.8549 \tabularnewline
58 & 5450 & 5517.28 & 5270.83 & 246.451 & -67.284 \tabularnewline
59 & 5500 & 5614.27 & 5368.75 & 245.525 & -114.275 \tabularnewline
60 & 4950 & 5092.98 & 5445.83 & -352.855 & -142.978 \tabularnewline
61 & 5400 & 5359.56 & 5525 & -165.442 & 40.4417 \tabularnewline
62 & 5750 & 5991.85 & 5600 & 391.85 & -241.85 \tabularnewline
63 & 5950 & 5916.33 & 5666.67 & 249.662 & 33.6709 \tabularnewline
64 & 5950 & 5565.81 & 5731.25 & -165.442 & 384.192 \tabularnewline
65 & 5750 & 5652.27 & 5804.17 & -151.9 & 97.7334 \tabularnewline
66 & 6450 & 6286.64 & 5872.92 & 413.725 & 163.358 \tabularnewline
67 & 5000 & 4985.11 & 5918.75 & -933.642 & 14.892 \tabularnewline
68 & 5950 & 5887.42 & 5962.5 & -75.0772 & 62.5772 \tabularnewline
69 & 6250 & 6311.73 & 6014.58 & 297.145 & -61.7284 \tabularnewline
70 & 6300 & 6283.95 & 6037.5 & 246.451 & 16.0494 \tabularnewline
71 & 6400 & 6301.77 & 6056.25 & 245.525 & 98.2253 \tabularnewline
72 & 5700 & 5734.65 & 6087.5 & -352.855 & -34.6451 \tabularnewline
73 & 5750 & 5947.06 & 6112.5 & -165.442 & -197.058 \tabularnewline
74 & 6450 & 6537.68 & 6145.83 & 391.85 & -87.6833 \tabularnewline
75 & 6500 & 6443.41 & 6193.75 & 249.662 & 56.5876 \tabularnewline
76 & 5950 & 6076.22 & 6241.67 & -165.442 & -126.225 \tabularnewline
77 & 6200 & 6125.18 & 6277.08 & -151.9 & 74.8167 \tabularnewline
78 & 6750 & 6719.97 & 6306.25 & 413.725 & 30.0251 \tabularnewline
79 & 5300 & 5401.77 & 6335.42 & -933.642 & -101.775 \tabularnewline
80 & 6450 & 6314.51 & 6389.58 & -75.0772 & 135.494 \tabularnewline
81 & 6900 & 6759.65 & 6462.5 & 297.145 & 140.355 \tabularnewline
82 & 6800 & 6752.7 & 6506.25 & 246.451 & 47.2994 \tabularnewline
83 & 6750 & 6776.77 & 6531.25 & 245.525 & -26.7747 \tabularnewline
84 & 6050 & 6224.23 & 6577.08 & -352.855 & -174.228 \tabularnewline
85 & 6100 & 6447.06 & 6612.5 & -165.442 & -347.058 \tabularnewline
86 & 7400 & 7021.02 & 6629.17 & 391.85 & 378.983 \tabularnewline
87 & 7300 & 6912.16 & 6662.5 & 249.662 & 387.838 \tabularnewline
88 & 6200 & 6544.97 & 6710.42 & -165.442 & -344.975 \tabularnewline
89 & 6550 & 6604.35 & 6756.25 & -151.9 & -54.3499 \tabularnewline
90 & 7500 & 7207.47 & 6793.75 & 413.725 & 292.525 \tabularnewline
91 & 5400 & 5922.61 & 6856.25 & -933.642 & -522.608 \tabularnewline
92 & 6750 & 6849.92 & 6925 & -75.0772 & -99.9228 \tabularnewline
93 & 7400 & 7234.65 & 6937.5 & 297.145 & 165.355 \tabularnewline
94 & 7450 & 7229.78 & 6983.33 & 246.451 & 220.216 \tabularnewline
95 & 7200 & 7310.11 & 7064.58 & 245.525 & -110.108 \tabularnewline
96 & 6500 & 6757.56 & 7110.42 & -352.855 & -257.562 \tabularnewline
97 & 7150 & 6980.39 & 7145.83 & -165.442 & 169.608 \tabularnewline
98 & 8000 & 7583.52 & 7191.67 & 391.85 & 416.483 \tabularnewline
99 & 7000 & 7491.33 & 7241.67 & 249.662 & -491.329 \tabularnewline
100 & 7600 & 7107.47 & 7272.92 & -165.442 & 492.525 \tabularnewline
101 & 7100 & 7179.35 & 7331.25 & -151.9 & -79.3499 \tabularnewline
102 & 8050 & 7815.81 & 7402.08 & 413.725 & 234.192 \tabularnewline
103 & 5700 & 6503.86 & 7437.5 & -933.642 & -803.858 \tabularnewline
104 & 7550 & 7362.42 & 7437.5 & -75.0772 & 187.577 \tabularnewline
105 & 7800 & 7778.4 & 7481.25 & 297.145 & 21.6049 \tabularnewline
106 & 7800 & 7775.62 & 7529.17 & 246.451 & 24.3827 \tabularnewline
107 & 8250 & 7814.27 & 7568.75 & 245.525 & 435.725 \tabularnewline
108 & 7150 & 7280.48 & 7633.33 & -352.855 & -130.478 \tabularnewline
109 & 7350 & NA & NA & -165.442 & NA \tabularnewline
110 & 7800 & NA & NA & 391.85 & NA \tabularnewline
111 & 8250 & NA & NA & 249.662 & NA \tabularnewline
112 & 7500 & NA & NA & -165.442 & NA \tabularnewline
113 & 8150 & NA & NA & -151.9 & NA \tabularnewline
114 & 8550 & NA & NA & 413.725 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298401&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]3300[/C][C]NA[/C][C]NA[/C][C]-165.442[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4100[/C][C]NA[/C][C]NA[/C][C]391.85[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3550[/C][C]NA[/C][C]NA[/C][C]249.662[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3650[/C][C]NA[/C][C]NA[/C][C]-165.442[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3400[/C][C]NA[/C][C]NA[/C][C]-151.9[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4050[/C][C]NA[/C][C]NA[/C][C]413.725[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2950[/C][C]2739.27[/C][C]3672.92[/C][C]-933.642[/C][C]210.725[/C][/ROW]
[ROW][C]8[/C][C]3300[/C][C]3631.17[/C][C]3706.25[/C][C]-75.0772[/C][C]-331.173[/C][/ROW]
[ROW][C]9[/C][C]3950[/C][C]4047.15[/C][C]3750[/C][C]297.145[/C][C]-97.1451[/C][/ROW]
[ROW][C]10[/C][C]3950[/C][C]4025.62[/C][C]3779.17[/C][C]246.451[/C][C]-75.6173[/C][/ROW]
[ROW][C]11[/C][C]3900[/C][C]4037.19[/C][C]3791.67[/C][C]245.525[/C][C]-137.191[/C][/ROW]
[ROW][C]12[/C][C]3700[/C][C]3459.65[/C][C]3812.5[/C][C]-352.855[/C][C]240.355[/C][/ROW]
[ROW][C]13[/C][C]3850[/C][C]3674.14[/C][C]3839.58[/C][C]-165.442[/C][C]175.858[/C][/ROW]
[ROW][C]14[/C][C]4350[/C][C]4277.27[/C][C]3885.42[/C][C]391.85[/C][C]72.7334[/C][/ROW]
[ROW][C]15[/C][C]4350[/C][C]4170.5[/C][C]3920.83[/C][C]249.662[/C][C]179.504[/C][/ROW]
[ROW][C]16[/C][C]3550[/C][C]3776.22[/C][C]3941.67[/C][C]-165.442[/C][C]-226.225[/C][/ROW]
[ROW][C]17[/C][C]3800[/C][C]3810.6[/C][C]3962.5[/C][C]-151.9[/C][C]-10.5999[/C][/ROW]
[ROW][C]18[/C][C]4150[/C][C]4405.39[/C][C]3991.67[/C][C]413.725[/C][C]-255.392[/C][/ROW]
[ROW][C]19[/C][C]3500[/C][C]3089.27[/C][C]4022.92[/C][C]-933.642[/C][C]410.725[/C][/ROW]
[ROW][C]20[/C][C]3850[/C][C]3962.42[/C][C]4037.5[/C][C]-75.0772[/C][C]-112.423[/C][/ROW]
[ROW][C]21[/C][C]4250[/C][C]4326.31[/C][C]4029.17[/C][C]297.145[/C][C]-76.3117[/C][/ROW]
[ROW][C]22[/C][C]4150[/C][C]4294.37[/C][C]4047.92[/C][C]246.451[/C][C]-144.367[/C][/ROW]
[ROW][C]23[/C][C]4200[/C][C]4322.61[/C][C]4077.08[/C][C]245.525[/C][C]-122.608[/C][/ROW]
[ROW][C]24[/C][C]4100[/C][C]3724.23[/C][C]4077.08[/C][C]-352.855[/C][C]375.772[/C][/ROW]
[ROW][C]25[/C][C]4200[/C][C]3922.06[/C][C]4087.5[/C][C]-165.442[/C][C]277.942[/C][/ROW]
[ROW][C]26[/C][C]4350[/C][C]4508.52[/C][C]4116.67[/C][C]391.85[/C][C]-158.517[/C][/ROW]
[ROW][C]27[/C][C]4150[/C][C]4389.25[/C][C]4139.58[/C][C]249.662[/C][C]-239.246[/C][/ROW]
[ROW][C]28[/C][C]4200[/C][C]3990.81[/C][C]4156.25[/C][C]-165.442[/C][C]209.192[/C][/ROW]
[ROW][C]29[/C][C]3850[/C][C]4025.18[/C][C]4177.08[/C][C]-151.9[/C][C]-175.183[/C][/ROW]
[ROW][C]30[/C][C]4100[/C][C]4599.14[/C][C]4185.42[/C][C]413.725[/C][C]-499.142[/C][/ROW]
[ROW][C]31[/C][C]3800[/C][C]3245.52[/C][C]4179.17[/C][C]-933.642[/C][C]554.475[/C][/ROW]
[ROW][C]32[/C][C]4250[/C][C]4104.09[/C][C]4179.17[/C][C]-75.0772[/C][C]145.91[/C][/ROW]
[ROW][C]33[/C][C]4400[/C][C]4499.23[/C][C]4202.08[/C][C]297.145[/C][C]-99.2284[/C][/ROW]
[ROW][C]34[/C][C]4400[/C][C]4463.12[/C][C]4216.67[/C][C]246.451[/C][C]-63.1173[/C][/ROW]
[ROW][C]35[/C][C]4450[/C][C]4476.77[/C][C]4231.25[/C][C]245.525[/C][C]-26.7747[/C][/ROW]
[ROW][C]36[/C][C]4050[/C][C]3928.4[/C][C]4281.25[/C][C]-352.855[/C][C]121.605[/C][/ROW]
[ROW][C]37[/C][C]4100[/C][C]4147.06[/C][C]4312.5[/C][C]-165.442[/C][C]-47.0583[/C][/ROW]
[ROW][C]38[/C][C]4450[/C][C]4712.68[/C][C]4320.83[/C][C]391.85[/C][C]-262.683[/C][/ROW]
[ROW][C]39[/C][C]4600[/C][C]4595.5[/C][C]4345.83[/C][C]249.662[/C][C]4.50424[/C][/ROW]
[ROW][C]40[/C][C]4100[/C][C]4217.89[/C][C]4383.33[/C][C]-165.442[/C][C]-117.892[/C][/ROW]
[ROW][C]41[/C][C]4300[/C][C]4271.02[/C][C]4422.92[/C][C]-151.9[/C][C]28.9834[/C][/ROW]
[ROW][C]42[/C][C]4850[/C][C]4867.89[/C][C]4454.17[/C][C]413.725[/C][C]-17.8916[/C][/ROW]
[ROW][C]43[/C][C]3800[/C][C]3549.69[/C][C]4483.33[/C][C]-933.642[/C][C]250.309[/C][/ROW]
[ROW][C]44[/C][C]4450[/C][C]4449.92[/C][C]4525[/C][C]-75.0772[/C][C]0.0771605[/C][/ROW]
[ROW][C]45[/C][C]4800[/C][C]4870.06[/C][C]4572.92[/C][C]297.145[/C][C]-70.0617[/C][/ROW]
[ROW][C]46[/C][C]4900[/C][C]4856.87[/C][C]4610.42[/C][C]246.451[/C][C]43.1327[/C][/ROW]
[ROW][C]47[/C][C]4900[/C][C]4895.52[/C][C]4650[/C][C]245.525[/C][C]4.47531[/C][/ROW]
[ROW][C]48[/C][C]4350[/C][C]4347.15[/C][C]4700[/C][C]-352.855[/C][C]2.85494[/C][/ROW]
[ROW][C]49[/C][C]4500[/C][C]4572.06[/C][C]4737.5[/C][C]-165.442[/C][C]-72.0583[/C][/ROW]
[ROW][C]50[/C][C]5050[/C][C]5166.85[/C][C]4775[/C][C]391.85[/C][C]-116.85[/C][/ROW]
[ROW][C]51[/C][C]5150[/C][C]5080.91[/C][C]4831.25[/C][C]249.662[/C][C]69.0876[/C][/ROW]
[ROW][C]52[/C][C]4450[/C][C]4719.97[/C][C]4885.42[/C][C]-165.442[/C][C]-269.975[/C][/ROW]
[ROW][C]53[/C][C]4900[/C][C]4781.43[/C][C]4933.33[/C][C]-151.9[/C][C]118.567[/C][/ROW]
[ROW][C]54[/C][C]5450[/C][C]5397.06[/C][C]4983.33[/C][C]413.725[/C][C]52.9417[/C][/ROW]
[ROW][C]55[/C][C]4100[/C][C]4112.19[/C][C]5045.83[/C][C]-933.642[/C][C]-12.1914[/C][/ROW]
[ROW][C]56[/C][C]5050[/C][C]5037.42[/C][C]5112.5[/C][C]-75.0772[/C][C]12.5772[/C][/ROW]
[ROW][C]57[/C][C]5550[/C][C]5472.15[/C][C]5175[/C][C]297.145[/C][C]77.8549[/C][/ROW]
[ROW][C]58[/C][C]5450[/C][C]5517.28[/C][C]5270.83[/C][C]246.451[/C][C]-67.284[/C][/ROW]
[ROW][C]59[/C][C]5500[/C][C]5614.27[/C][C]5368.75[/C][C]245.525[/C][C]-114.275[/C][/ROW]
[ROW][C]60[/C][C]4950[/C][C]5092.98[/C][C]5445.83[/C][C]-352.855[/C][C]-142.978[/C][/ROW]
[ROW][C]61[/C][C]5400[/C][C]5359.56[/C][C]5525[/C][C]-165.442[/C][C]40.4417[/C][/ROW]
[ROW][C]62[/C][C]5750[/C][C]5991.85[/C][C]5600[/C][C]391.85[/C][C]-241.85[/C][/ROW]
[ROW][C]63[/C][C]5950[/C][C]5916.33[/C][C]5666.67[/C][C]249.662[/C][C]33.6709[/C][/ROW]
[ROW][C]64[/C][C]5950[/C][C]5565.81[/C][C]5731.25[/C][C]-165.442[/C][C]384.192[/C][/ROW]
[ROW][C]65[/C][C]5750[/C][C]5652.27[/C][C]5804.17[/C][C]-151.9[/C][C]97.7334[/C][/ROW]
[ROW][C]66[/C][C]6450[/C][C]6286.64[/C][C]5872.92[/C][C]413.725[/C][C]163.358[/C][/ROW]
[ROW][C]67[/C][C]5000[/C][C]4985.11[/C][C]5918.75[/C][C]-933.642[/C][C]14.892[/C][/ROW]
[ROW][C]68[/C][C]5950[/C][C]5887.42[/C][C]5962.5[/C][C]-75.0772[/C][C]62.5772[/C][/ROW]
[ROW][C]69[/C][C]6250[/C][C]6311.73[/C][C]6014.58[/C][C]297.145[/C][C]-61.7284[/C][/ROW]
[ROW][C]70[/C][C]6300[/C][C]6283.95[/C][C]6037.5[/C][C]246.451[/C][C]16.0494[/C][/ROW]
[ROW][C]71[/C][C]6400[/C][C]6301.77[/C][C]6056.25[/C][C]245.525[/C][C]98.2253[/C][/ROW]
[ROW][C]72[/C][C]5700[/C][C]5734.65[/C][C]6087.5[/C][C]-352.855[/C][C]-34.6451[/C][/ROW]
[ROW][C]73[/C][C]5750[/C][C]5947.06[/C][C]6112.5[/C][C]-165.442[/C][C]-197.058[/C][/ROW]
[ROW][C]74[/C][C]6450[/C][C]6537.68[/C][C]6145.83[/C][C]391.85[/C][C]-87.6833[/C][/ROW]
[ROW][C]75[/C][C]6500[/C][C]6443.41[/C][C]6193.75[/C][C]249.662[/C][C]56.5876[/C][/ROW]
[ROW][C]76[/C][C]5950[/C][C]6076.22[/C][C]6241.67[/C][C]-165.442[/C][C]-126.225[/C][/ROW]
[ROW][C]77[/C][C]6200[/C][C]6125.18[/C][C]6277.08[/C][C]-151.9[/C][C]74.8167[/C][/ROW]
[ROW][C]78[/C][C]6750[/C][C]6719.97[/C][C]6306.25[/C][C]413.725[/C][C]30.0251[/C][/ROW]
[ROW][C]79[/C][C]5300[/C][C]5401.77[/C][C]6335.42[/C][C]-933.642[/C][C]-101.775[/C][/ROW]
[ROW][C]80[/C][C]6450[/C][C]6314.51[/C][C]6389.58[/C][C]-75.0772[/C][C]135.494[/C][/ROW]
[ROW][C]81[/C][C]6900[/C][C]6759.65[/C][C]6462.5[/C][C]297.145[/C][C]140.355[/C][/ROW]
[ROW][C]82[/C][C]6800[/C][C]6752.7[/C][C]6506.25[/C][C]246.451[/C][C]47.2994[/C][/ROW]
[ROW][C]83[/C][C]6750[/C][C]6776.77[/C][C]6531.25[/C][C]245.525[/C][C]-26.7747[/C][/ROW]
[ROW][C]84[/C][C]6050[/C][C]6224.23[/C][C]6577.08[/C][C]-352.855[/C][C]-174.228[/C][/ROW]
[ROW][C]85[/C][C]6100[/C][C]6447.06[/C][C]6612.5[/C][C]-165.442[/C][C]-347.058[/C][/ROW]
[ROW][C]86[/C][C]7400[/C][C]7021.02[/C][C]6629.17[/C][C]391.85[/C][C]378.983[/C][/ROW]
[ROW][C]87[/C][C]7300[/C][C]6912.16[/C][C]6662.5[/C][C]249.662[/C][C]387.838[/C][/ROW]
[ROW][C]88[/C][C]6200[/C][C]6544.97[/C][C]6710.42[/C][C]-165.442[/C][C]-344.975[/C][/ROW]
[ROW][C]89[/C][C]6550[/C][C]6604.35[/C][C]6756.25[/C][C]-151.9[/C][C]-54.3499[/C][/ROW]
[ROW][C]90[/C][C]7500[/C][C]7207.47[/C][C]6793.75[/C][C]413.725[/C][C]292.525[/C][/ROW]
[ROW][C]91[/C][C]5400[/C][C]5922.61[/C][C]6856.25[/C][C]-933.642[/C][C]-522.608[/C][/ROW]
[ROW][C]92[/C][C]6750[/C][C]6849.92[/C][C]6925[/C][C]-75.0772[/C][C]-99.9228[/C][/ROW]
[ROW][C]93[/C][C]7400[/C][C]7234.65[/C][C]6937.5[/C][C]297.145[/C][C]165.355[/C][/ROW]
[ROW][C]94[/C][C]7450[/C][C]7229.78[/C][C]6983.33[/C][C]246.451[/C][C]220.216[/C][/ROW]
[ROW][C]95[/C][C]7200[/C][C]7310.11[/C][C]7064.58[/C][C]245.525[/C][C]-110.108[/C][/ROW]
[ROW][C]96[/C][C]6500[/C][C]6757.56[/C][C]7110.42[/C][C]-352.855[/C][C]-257.562[/C][/ROW]
[ROW][C]97[/C][C]7150[/C][C]6980.39[/C][C]7145.83[/C][C]-165.442[/C][C]169.608[/C][/ROW]
[ROW][C]98[/C][C]8000[/C][C]7583.52[/C][C]7191.67[/C][C]391.85[/C][C]416.483[/C][/ROW]
[ROW][C]99[/C][C]7000[/C][C]7491.33[/C][C]7241.67[/C][C]249.662[/C][C]-491.329[/C][/ROW]
[ROW][C]100[/C][C]7600[/C][C]7107.47[/C][C]7272.92[/C][C]-165.442[/C][C]492.525[/C][/ROW]
[ROW][C]101[/C][C]7100[/C][C]7179.35[/C][C]7331.25[/C][C]-151.9[/C][C]-79.3499[/C][/ROW]
[ROW][C]102[/C][C]8050[/C][C]7815.81[/C][C]7402.08[/C][C]413.725[/C][C]234.192[/C][/ROW]
[ROW][C]103[/C][C]5700[/C][C]6503.86[/C][C]7437.5[/C][C]-933.642[/C][C]-803.858[/C][/ROW]
[ROW][C]104[/C][C]7550[/C][C]7362.42[/C][C]7437.5[/C][C]-75.0772[/C][C]187.577[/C][/ROW]
[ROW][C]105[/C][C]7800[/C][C]7778.4[/C][C]7481.25[/C][C]297.145[/C][C]21.6049[/C][/ROW]
[ROW][C]106[/C][C]7800[/C][C]7775.62[/C][C]7529.17[/C][C]246.451[/C][C]24.3827[/C][/ROW]
[ROW][C]107[/C][C]8250[/C][C]7814.27[/C][C]7568.75[/C][C]245.525[/C][C]435.725[/C][/ROW]
[ROW][C]108[/C][C]7150[/C][C]7280.48[/C][C]7633.33[/C][C]-352.855[/C][C]-130.478[/C][/ROW]
[ROW][C]109[/C][C]7350[/C][C]NA[/C][C]NA[/C][C]-165.442[/C][C]NA[/C][/ROW]
[ROW][C]110[/C][C]7800[/C][C]NA[/C][C]NA[/C][C]391.85[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]8250[/C][C]NA[/C][C]NA[/C][C]249.662[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]7500[/C][C]NA[/C][C]NA[/C][C]-165.442[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]8150[/C][C]NA[/C][C]NA[/C][C]-151.9[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]8550[/C][C]NA[/C][C]NA[/C][C]413.725[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298401&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
13300NANA-165.442NA
24100NANA391.85NA
33550NANA249.662NA
43650NANA-165.442NA
53400NANA-151.9NA
64050NANA413.725NA
729502739.273672.92-933.642210.725
833003631.173706.25-75.0772-331.173
939504047.153750297.145-97.1451
1039504025.623779.17246.451-75.6173
1139004037.193791.67245.525-137.191
1237003459.653812.5-352.855240.355
1338503674.143839.58-165.442175.858
1443504277.273885.42391.8572.7334
1543504170.53920.83249.662179.504
1635503776.223941.67-165.442-226.225
1738003810.63962.5-151.9-10.5999
1841504405.393991.67413.725-255.392
1935003089.274022.92-933.642410.725
2038503962.424037.5-75.0772-112.423
2142504326.314029.17297.145-76.3117
2241504294.374047.92246.451-144.367
2342004322.614077.08245.525-122.608
2441003724.234077.08-352.855375.772
2542003922.064087.5-165.442277.942
2643504508.524116.67391.85-158.517
2741504389.254139.58249.662-239.246
2842003990.814156.25-165.442209.192
2938504025.184177.08-151.9-175.183
3041004599.144185.42413.725-499.142
3138003245.524179.17-933.642554.475
3242504104.094179.17-75.0772145.91
3344004499.234202.08297.145-99.2284
3444004463.124216.67246.451-63.1173
3544504476.774231.25245.525-26.7747
3640503928.44281.25-352.855121.605
3741004147.064312.5-165.442-47.0583
3844504712.684320.83391.85-262.683
3946004595.54345.83249.6624.50424
4041004217.894383.33-165.442-117.892
4143004271.024422.92-151.928.9834
4248504867.894454.17413.725-17.8916
4338003549.694483.33-933.642250.309
4444504449.924525-75.07720.0771605
4548004870.064572.92297.145-70.0617
4649004856.874610.42246.45143.1327
4749004895.524650245.5254.47531
4843504347.154700-352.8552.85494
4945004572.064737.5-165.442-72.0583
5050505166.854775391.85-116.85
5151505080.914831.25249.66269.0876
5244504719.974885.42-165.442-269.975
5349004781.434933.33-151.9118.567
5454505397.064983.33413.72552.9417
5541004112.195045.83-933.642-12.1914
5650505037.425112.5-75.077212.5772
5755505472.155175297.14577.8549
5854505517.285270.83246.451-67.284
5955005614.275368.75245.525-114.275
6049505092.985445.83-352.855-142.978
6154005359.565525-165.44240.4417
6257505991.855600391.85-241.85
6359505916.335666.67249.66233.6709
6459505565.815731.25-165.442384.192
6557505652.275804.17-151.997.7334
6664506286.645872.92413.725163.358
6750004985.115918.75-933.64214.892
6859505887.425962.5-75.077262.5772
6962506311.736014.58297.145-61.7284
7063006283.956037.5246.45116.0494
7164006301.776056.25245.52598.2253
7257005734.656087.5-352.855-34.6451
7357505947.066112.5-165.442-197.058
7464506537.686145.83391.85-87.6833
7565006443.416193.75249.66256.5876
7659506076.226241.67-165.442-126.225
7762006125.186277.08-151.974.8167
7867506719.976306.25413.72530.0251
7953005401.776335.42-933.642-101.775
8064506314.516389.58-75.0772135.494
8169006759.656462.5297.145140.355
8268006752.76506.25246.45147.2994
8367506776.776531.25245.525-26.7747
8460506224.236577.08-352.855-174.228
8561006447.066612.5-165.442-347.058
8674007021.026629.17391.85378.983
8773006912.166662.5249.662387.838
8862006544.976710.42-165.442-344.975
8965506604.356756.25-151.9-54.3499
9075007207.476793.75413.725292.525
9154005922.616856.25-933.642-522.608
9267506849.926925-75.0772-99.9228
9374007234.656937.5297.145165.355
9474507229.786983.33246.451220.216
9572007310.117064.58245.525-110.108
9665006757.567110.42-352.855-257.562
9771506980.397145.83-165.442169.608
9880007583.527191.67391.85416.483
9970007491.337241.67249.662-491.329
10076007107.477272.92-165.442492.525
10171007179.357331.25-151.9-79.3499
10280507815.817402.08413.725234.192
10357006503.867437.5-933.642-803.858
10475507362.427437.5-75.0772187.577
10578007778.47481.25297.14521.6049
10678007775.627529.17246.45124.3827
10782507814.277568.75245.525435.725
10871507280.487633.33-352.855-130.478
1097350NANA-165.442NA
1107800NANA391.85NA
1118250NANA249.662NA
1127500NANA-165.442NA
1138150NANA-151.9NA
1148550NANA413.725NA



Parameters (Session):
par4 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')