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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 computationTue, 13 Dec 2016 20:53:43 +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/13/t14816588813r2ggladaso9cqg.htm/, Retrieved Sat, 04 May 2024 20:24:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299214, Retrieved Sat, 04 May 2024 20:24:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Univariate analys...] [2016-12-13 19:53:43] [bd7223969ac5b08f41438741a34686d6] [Current]
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Dataseries X:
5350
6100
4820
5130
4060
6710
4510
5630
5200
4510
4810
4930
4720
4400
4090
4160
5020
5930
4390
4490
5760
5040
4800
4820
4620
4380
4250
4230
3800
6360
4280
4680
5070
4560
4690
4820
4370
3850
5050
4010
4570
4240
3850
4830
5400
4680
4390
4140
4300
4180
4120
3910
4300
4240
3610
3600
3970
3790
3750
3680
3970
4290
3670
3760
4160
3620
4280
4410
4500
4690
3650
3720
3770
3970
3390
3400
3130
3930
3740
3400
3620
3980
3440
3420
3740
3630
3650
3940
3540
3590
3740
3910
3670
3510
3430
3420
3630
3690
3350
3470
3380
3990
3790
3440
3580
3600
3990
3640




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=299214&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=299214&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299214&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
15350NANA-25.7769NA
26100NANA-101.871NA
34820NANA-184.527NA
45130NANA-257.6NA
54060NANA-121.089NA
66710NANA389.9NA
745104898.815120.42-221.61-388.806
856305141.985023.33118.65488.016
952005340.944922.08418.859-140.942
1045104982.664851.25131.411-472.661
1148104769.434850.83-81.401940.5686
1249304793.394858.33-64.9436136.61
1347204795.064820.83-25.7769-75.0564
1444004666.464768.33-101.871-266.463
1540904559.644744.17-184.527-469.64
1641604531.984789.58-257.6-371.984
1750204690.164811.25-121.089329.839
1859305196.154806.25389.9733.85
1943904575.894797.5-221.61-185.89
2044904911.154792.5118.65-421.15
2157605217.194798.33418.859542.808
2250404939.334807.92131.411100.673
2348004678.64760-81.4019121.402
2448204662.144727.08-64.9436157.86
2546204714.644740.42-25.7769-94.6398
2643804641.884743.75-101.871-261.879
2742504538.394722.92-184.527-288.39
2842304416.574674.17-257.6-186.567
2938004528.494649.58-121.089-728.494
3063605034.94645389.91325.1
3142804412.974634.58-221.61-132.973
3246804720.734602.08118.65-40.7335
3350705032.194613.33418.85937.8082
3445604768.914637.5131.411-208.911
3546904579.014660.42-81.4019110.985
3648204539.224604.17-64.9436280.777
3743704472.144497.92-25.7769-102.14
3838504384.384486.25-101.871-534.379
3950504321.724506.25-184.527728.277
4040104267.44525-257.6-257.4
4145704396.414517.5-121.089173.589
4242404866.574476.67389.9-626.567
4338504223.814445.42-221.61-373.806
4448304574.94456.25118.65255.1
4554004850.114431.25418.859549.891
4646804519.744388.33131.411160.256
4743904291.514372.92-81.401998.4852
4841404296.724361.67-64.9436-156.723
4943004325.894351.67-25.7769-25.8898
5041804188.554290.42-101.871-8.54601
5141203995.064179.58-184.527124.944
5239103825.324082.92-257.684.6832
5343003898.084019.17-121.089401.923
5442404363.233973.33389.9-123.234
5536103718.813940.42-221.61-108.806
5636004049.93931.25118.65-449.9
5739704335.943917.08418.859-365.942
5837904023.493892.08131.411-233.494
5937503798.63880-81.4019-48.5981
6036803783.393848.33-64.9436-103.39
6139703824.643850.42-25.7769145.36
6242903810.213912.08-101.871479.787
6336703783.393967.92-184.527-113.39
6437603769.94027.5-257.6-9.90017
6541603939.744060.83-121.089220.256
6636204448.234058.33389.9-828.234
6742803830.064051.67-221.61449.944
6844104148.654030118.65261.35
6945004423.864005418.85976.1415
7046904109.743978.33131.411580.256
7136503839.013920.42-81.4019-189.015
7237203825.473890.42-64.9436-105.473
7337703855.063880.83-25.7769-85.0564
7439703714.383816.25-101.871255.621
7533903552.973737.5-184.527-162.973
7634003413.653671.25-257.6-13.6502
7731303511.833632.92-121.089-381.827
7839304001.573611.67389.9-71.5668
7937403376.313597.92-221.61363.694
8034003701.153582.5118.65-301.15
8136203998.033579.17418.859-378.025
8239803743.913612.5131.411236.089
8334403570.683652.08-81.4019-130.681
8434203590.063655-64.9436-170.056
8537403615.063640.83-25.7769124.944
8636303560.213662.08-101.87169.7873
8736503500.893685.42-184.527149.11
8839403410.323667.92-257.6529.683
8935403526.833647.92-121.08913.1727
9035904037.43647.5389.9-447.4
9137403421.313642.92-221.61318.694
9239103759.483640.83118.65150.516
9336704049.693630.83418.859-379.692
9435103730.163598.75131.411-220.161
9534303491.13572.5-81.4019-61.0981
9634203517.563582.5-64.9436-97.5564
9736303575.473601.25-25.776954.5269
9836903481.883583.75-101.871208.121
9933503375.893560.42-184.527-25.8898
10034703302.823560.42-257.6167.183
10133803466.413587.5-121.089-86.4106
10239904009.93620389.9-19.9002
1033790NANA-221.61NA
1043440NANA118.65NA
1053580NANA418.859NA
1063600NANA131.411NA
1073990NANA-81.4019NA
1083640NANA-64.9436NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5350 & NA & NA & -25.7769 & NA \tabularnewline
2 & 6100 & NA & NA & -101.871 & NA \tabularnewline
3 & 4820 & NA & NA & -184.527 & NA \tabularnewline
4 & 5130 & NA & NA & -257.6 & NA \tabularnewline
5 & 4060 & NA & NA & -121.089 & NA \tabularnewline
6 & 6710 & NA & NA & 389.9 & NA \tabularnewline
7 & 4510 & 4898.81 & 5120.42 & -221.61 & -388.806 \tabularnewline
8 & 5630 & 5141.98 & 5023.33 & 118.65 & 488.016 \tabularnewline
9 & 5200 & 5340.94 & 4922.08 & 418.859 & -140.942 \tabularnewline
10 & 4510 & 4982.66 & 4851.25 & 131.411 & -472.661 \tabularnewline
11 & 4810 & 4769.43 & 4850.83 & -81.4019 & 40.5686 \tabularnewline
12 & 4930 & 4793.39 & 4858.33 & -64.9436 & 136.61 \tabularnewline
13 & 4720 & 4795.06 & 4820.83 & -25.7769 & -75.0564 \tabularnewline
14 & 4400 & 4666.46 & 4768.33 & -101.871 & -266.463 \tabularnewline
15 & 4090 & 4559.64 & 4744.17 & -184.527 & -469.64 \tabularnewline
16 & 4160 & 4531.98 & 4789.58 & -257.6 & -371.984 \tabularnewline
17 & 5020 & 4690.16 & 4811.25 & -121.089 & 329.839 \tabularnewline
18 & 5930 & 5196.15 & 4806.25 & 389.9 & 733.85 \tabularnewline
19 & 4390 & 4575.89 & 4797.5 & -221.61 & -185.89 \tabularnewline
20 & 4490 & 4911.15 & 4792.5 & 118.65 & -421.15 \tabularnewline
21 & 5760 & 5217.19 & 4798.33 & 418.859 & 542.808 \tabularnewline
22 & 5040 & 4939.33 & 4807.92 & 131.411 & 100.673 \tabularnewline
23 & 4800 & 4678.6 & 4760 & -81.4019 & 121.402 \tabularnewline
24 & 4820 & 4662.14 & 4727.08 & -64.9436 & 157.86 \tabularnewline
25 & 4620 & 4714.64 & 4740.42 & -25.7769 & -94.6398 \tabularnewline
26 & 4380 & 4641.88 & 4743.75 & -101.871 & -261.879 \tabularnewline
27 & 4250 & 4538.39 & 4722.92 & -184.527 & -288.39 \tabularnewline
28 & 4230 & 4416.57 & 4674.17 & -257.6 & -186.567 \tabularnewline
29 & 3800 & 4528.49 & 4649.58 & -121.089 & -728.494 \tabularnewline
30 & 6360 & 5034.9 & 4645 & 389.9 & 1325.1 \tabularnewline
31 & 4280 & 4412.97 & 4634.58 & -221.61 & -132.973 \tabularnewline
32 & 4680 & 4720.73 & 4602.08 & 118.65 & -40.7335 \tabularnewline
33 & 5070 & 5032.19 & 4613.33 & 418.859 & 37.8082 \tabularnewline
34 & 4560 & 4768.91 & 4637.5 & 131.411 & -208.911 \tabularnewline
35 & 4690 & 4579.01 & 4660.42 & -81.4019 & 110.985 \tabularnewline
36 & 4820 & 4539.22 & 4604.17 & -64.9436 & 280.777 \tabularnewline
37 & 4370 & 4472.14 & 4497.92 & -25.7769 & -102.14 \tabularnewline
38 & 3850 & 4384.38 & 4486.25 & -101.871 & -534.379 \tabularnewline
39 & 5050 & 4321.72 & 4506.25 & -184.527 & 728.277 \tabularnewline
40 & 4010 & 4267.4 & 4525 & -257.6 & -257.4 \tabularnewline
41 & 4570 & 4396.41 & 4517.5 & -121.089 & 173.589 \tabularnewline
42 & 4240 & 4866.57 & 4476.67 & 389.9 & -626.567 \tabularnewline
43 & 3850 & 4223.81 & 4445.42 & -221.61 & -373.806 \tabularnewline
44 & 4830 & 4574.9 & 4456.25 & 118.65 & 255.1 \tabularnewline
45 & 5400 & 4850.11 & 4431.25 & 418.859 & 549.891 \tabularnewline
46 & 4680 & 4519.74 & 4388.33 & 131.411 & 160.256 \tabularnewline
47 & 4390 & 4291.51 & 4372.92 & -81.4019 & 98.4852 \tabularnewline
48 & 4140 & 4296.72 & 4361.67 & -64.9436 & -156.723 \tabularnewline
49 & 4300 & 4325.89 & 4351.67 & -25.7769 & -25.8898 \tabularnewline
50 & 4180 & 4188.55 & 4290.42 & -101.871 & -8.54601 \tabularnewline
51 & 4120 & 3995.06 & 4179.58 & -184.527 & 124.944 \tabularnewline
52 & 3910 & 3825.32 & 4082.92 & -257.6 & 84.6832 \tabularnewline
53 & 4300 & 3898.08 & 4019.17 & -121.089 & 401.923 \tabularnewline
54 & 4240 & 4363.23 & 3973.33 & 389.9 & -123.234 \tabularnewline
55 & 3610 & 3718.81 & 3940.42 & -221.61 & -108.806 \tabularnewline
56 & 3600 & 4049.9 & 3931.25 & 118.65 & -449.9 \tabularnewline
57 & 3970 & 4335.94 & 3917.08 & 418.859 & -365.942 \tabularnewline
58 & 3790 & 4023.49 & 3892.08 & 131.411 & -233.494 \tabularnewline
59 & 3750 & 3798.6 & 3880 & -81.4019 & -48.5981 \tabularnewline
60 & 3680 & 3783.39 & 3848.33 & -64.9436 & -103.39 \tabularnewline
61 & 3970 & 3824.64 & 3850.42 & -25.7769 & 145.36 \tabularnewline
62 & 4290 & 3810.21 & 3912.08 & -101.871 & 479.787 \tabularnewline
63 & 3670 & 3783.39 & 3967.92 & -184.527 & -113.39 \tabularnewline
64 & 3760 & 3769.9 & 4027.5 & -257.6 & -9.90017 \tabularnewline
65 & 4160 & 3939.74 & 4060.83 & -121.089 & 220.256 \tabularnewline
66 & 3620 & 4448.23 & 4058.33 & 389.9 & -828.234 \tabularnewline
67 & 4280 & 3830.06 & 4051.67 & -221.61 & 449.944 \tabularnewline
68 & 4410 & 4148.65 & 4030 & 118.65 & 261.35 \tabularnewline
69 & 4500 & 4423.86 & 4005 & 418.859 & 76.1415 \tabularnewline
70 & 4690 & 4109.74 & 3978.33 & 131.411 & 580.256 \tabularnewline
71 & 3650 & 3839.01 & 3920.42 & -81.4019 & -189.015 \tabularnewline
72 & 3720 & 3825.47 & 3890.42 & -64.9436 & -105.473 \tabularnewline
73 & 3770 & 3855.06 & 3880.83 & -25.7769 & -85.0564 \tabularnewline
74 & 3970 & 3714.38 & 3816.25 & -101.871 & 255.621 \tabularnewline
75 & 3390 & 3552.97 & 3737.5 & -184.527 & -162.973 \tabularnewline
76 & 3400 & 3413.65 & 3671.25 & -257.6 & -13.6502 \tabularnewline
77 & 3130 & 3511.83 & 3632.92 & -121.089 & -381.827 \tabularnewline
78 & 3930 & 4001.57 & 3611.67 & 389.9 & -71.5668 \tabularnewline
79 & 3740 & 3376.31 & 3597.92 & -221.61 & 363.694 \tabularnewline
80 & 3400 & 3701.15 & 3582.5 & 118.65 & -301.15 \tabularnewline
81 & 3620 & 3998.03 & 3579.17 & 418.859 & -378.025 \tabularnewline
82 & 3980 & 3743.91 & 3612.5 & 131.411 & 236.089 \tabularnewline
83 & 3440 & 3570.68 & 3652.08 & -81.4019 & -130.681 \tabularnewline
84 & 3420 & 3590.06 & 3655 & -64.9436 & -170.056 \tabularnewline
85 & 3740 & 3615.06 & 3640.83 & -25.7769 & 124.944 \tabularnewline
86 & 3630 & 3560.21 & 3662.08 & -101.871 & 69.7873 \tabularnewline
87 & 3650 & 3500.89 & 3685.42 & -184.527 & 149.11 \tabularnewline
88 & 3940 & 3410.32 & 3667.92 & -257.6 & 529.683 \tabularnewline
89 & 3540 & 3526.83 & 3647.92 & -121.089 & 13.1727 \tabularnewline
90 & 3590 & 4037.4 & 3647.5 & 389.9 & -447.4 \tabularnewline
91 & 3740 & 3421.31 & 3642.92 & -221.61 & 318.694 \tabularnewline
92 & 3910 & 3759.48 & 3640.83 & 118.65 & 150.516 \tabularnewline
93 & 3670 & 4049.69 & 3630.83 & 418.859 & -379.692 \tabularnewline
94 & 3510 & 3730.16 & 3598.75 & 131.411 & -220.161 \tabularnewline
95 & 3430 & 3491.1 & 3572.5 & -81.4019 & -61.0981 \tabularnewline
96 & 3420 & 3517.56 & 3582.5 & -64.9436 & -97.5564 \tabularnewline
97 & 3630 & 3575.47 & 3601.25 & -25.7769 & 54.5269 \tabularnewline
98 & 3690 & 3481.88 & 3583.75 & -101.871 & 208.121 \tabularnewline
99 & 3350 & 3375.89 & 3560.42 & -184.527 & -25.8898 \tabularnewline
100 & 3470 & 3302.82 & 3560.42 & -257.6 & 167.183 \tabularnewline
101 & 3380 & 3466.41 & 3587.5 & -121.089 & -86.4106 \tabularnewline
102 & 3990 & 4009.9 & 3620 & 389.9 & -19.9002 \tabularnewline
103 & 3790 & NA & NA & -221.61 & NA \tabularnewline
104 & 3440 & NA & NA & 118.65 & NA \tabularnewline
105 & 3580 & NA & NA & 418.859 & NA \tabularnewline
106 & 3600 & NA & NA & 131.411 & NA \tabularnewline
107 & 3990 & NA & NA & -81.4019 & NA \tabularnewline
108 & 3640 & NA & NA & -64.9436 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299214&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]5350[/C][C]NA[/C][C]NA[/C][C]-25.7769[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6100[/C][C]NA[/C][C]NA[/C][C]-101.871[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4820[/C][C]NA[/C][C]NA[/C][C]-184.527[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5130[/C][C]NA[/C][C]NA[/C][C]-257.6[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4060[/C][C]NA[/C][C]NA[/C][C]-121.089[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]6710[/C][C]NA[/C][C]NA[/C][C]389.9[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4510[/C][C]4898.81[/C][C]5120.42[/C][C]-221.61[/C][C]-388.806[/C][/ROW]
[ROW][C]8[/C][C]5630[/C][C]5141.98[/C][C]5023.33[/C][C]118.65[/C][C]488.016[/C][/ROW]
[ROW][C]9[/C][C]5200[/C][C]5340.94[/C][C]4922.08[/C][C]418.859[/C][C]-140.942[/C][/ROW]
[ROW][C]10[/C][C]4510[/C][C]4982.66[/C][C]4851.25[/C][C]131.411[/C][C]-472.661[/C][/ROW]
[ROW][C]11[/C][C]4810[/C][C]4769.43[/C][C]4850.83[/C][C]-81.4019[/C][C]40.5686[/C][/ROW]
[ROW][C]12[/C][C]4930[/C][C]4793.39[/C][C]4858.33[/C][C]-64.9436[/C][C]136.61[/C][/ROW]
[ROW][C]13[/C][C]4720[/C][C]4795.06[/C][C]4820.83[/C][C]-25.7769[/C][C]-75.0564[/C][/ROW]
[ROW][C]14[/C][C]4400[/C][C]4666.46[/C][C]4768.33[/C][C]-101.871[/C][C]-266.463[/C][/ROW]
[ROW][C]15[/C][C]4090[/C][C]4559.64[/C][C]4744.17[/C][C]-184.527[/C][C]-469.64[/C][/ROW]
[ROW][C]16[/C][C]4160[/C][C]4531.98[/C][C]4789.58[/C][C]-257.6[/C][C]-371.984[/C][/ROW]
[ROW][C]17[/C][C]5020[/C][C]4690.16[/C][C]4811.25[/C][C]-121.089[/C][C]329.839[/C][/ROW]
[ROW][C]18[/C][C]5930[/C][C]5196.15[/C][C]4806.25[/C][C]389.9[/C][C]733.85[/C][/ROW]
[ROW][C]19[/C][C]4390[/C][C]4575.89[/C][C]4797.5[/C][C]-221.61[/C][C]-185.89[/C][/ROW]
[ROW][C]20[/C][C]4490[/C][C]4911.15[/C][C]4792.5[/C][C]118.65[/C][C]-421.15[/C][/ROW]
[ROW][C]21[/C][C]5760[/C][C]5217.19[/C][C]4798.33[/C][C]418.859[/C][C]542.808[/C][/ROW]
[ROW][C]22[/C][C]5040[/C][C]4939.33[/C][C]4807.92[/C][C]131.411[/C][C]100.673[/C][/ROW]
[ROW][C]23[/C][C]4800[/C][C]4678.6[/C][C]4760[/C][C]-81.4019[/C][C]121.402[/C][/ROW]
[ROW][C]24[/C][C]4820[/C][C]4662.14[/C][C]4727.08[/C][C]-64.9436[/C][C]157.86[/C][/ROW]
[ROW][C]25[/C][C]4620[/C][C]4714.64[/C][C]4740.42[/C][C]-25.7769[/C][C]-94.6398[/C][/ROW]
[ROW][C]26[/C][C]4380[/C][C]4641.88[/C][C]4743.75[/C][C]-101.871[/C][C]-261.879[/C][/ROW]
[ROW][C]27[/C][C]4250[/C][C]4538.39[/C][C]4722.92[/C][C]-184.527[/C][C]-288.39[/C][/ROW]
[ROW][C]28[/C][C]4230[/C][C]4416.57[/C][C]4674.17[/C][C]-257.6[/C][C]-186.567[/C][/ROW]
[ROW][C]29[/C][C]3800[/C][C]4528.49[/C][C]4649.58[/C][C]-121.089[/C][C]-728.494[/C][/ROW]
[ROW][C]30[/C][C]6360[/C][C]5034.9[/C][C]4645[/C][C]389.9[/C][C]1325.1[/C][/ROW]
[ROW][C]31[/C][C]4280[/C][C]4412.97[/C][C]4634.58[/C][C]-221.61[/C][C]-132.973[/C][/ROW]
[ROW][C]32[/C][C]4680[/C][C]4720.73[/C][C]4602.08[/C][C]118.65[/C][C]-40.7335[/C][/ROW]
[ROW][C]33[/C][C]5070[/C][C]5032.19[/C][C]4613.33[/C][C]418.859[/C][C]37.8082[/C][/ROW]
[ROW][C]34[/C][C]4560[/C][C]4768.91[/C][C]4637.5[/C][C]131.411[/C][C]-208.911[/C][/ROW]
[ROW][C]35[/C][C]4690[/C][C]4579.01[/C][C]4660.42[/C][C]-81.4019[/C][C]110.985[/C][/ROW]
[ROW][C]36[/C][C]4820[/C][C]4539.22[/C][C]4604.17[/C][C]-64.9436[/C][C]280.777[/C][/ROW]
[ROW][C]37[/C][C]4370[/C][C]4472.14[/C][C]4497.92[/C][C]-25.7769[/C][C]-102.14[/C][/ROW]
[ROW][C]38[/C][C]3850[/C][C]4384.38[/C][C]4486.25[/C][C]-101.871[/C][C]-534.379[/C][/ROW]
[ROW][C]39[/C][C]5050[/C][C]4321.72[/C][C]4506.25[/C][C]-184.527[/C][C]728.277[/C][/ROW]
[ROW][C]40[/C][C]4010[/C][C]4267.4[/C][C]4525[/C][C]-257.6[/C][C]-257.4[/C][/ROW]
[ROW][C]41[/C][C]4570[/C][C]4396.41[/C][C]4517.5[/C][C]-121.089[/C][C]173.589[/C][/ROW]
[ROW][C]42[/C][C]4240[/C][C]4866.57[/C][C]4476.67[/C][C]389.9[/C][C]-626.567[/C][/ROW]
[ROW][C]43[/C][C]3850[/C][C]4223.81[/C][C]4445.42[/C][C]-221.61[/C][C]-373.806[/C][/ROW]
[ROW][C]44[/C][C]4830[/C][C]4574.9[/C][C]4456.25[/C][C]118.65[/C][C]255.1[/C][/ROW]
[ROW][C]45[/C][C]5400[/C][C]4850.11[/C][C]4431.25[/C][C]418.859[/C][C]549.891[/C][/ROW]
[ROW][C]46[/C][C]4680[/C][C]4519.74[/C][C]4388.33[/C][C]131.411[/C][C]160.256[/C][/ROW]
[ROW][C]47[/C][C]4390[/C][C]4291.51[/C][C]4372.92[/C][C]-81.4019[/C][C]98.4852[/C][/ROW]
[ROW][C]48[/C][C]4140[/C][C]4296.72[/C][C]4361.67[/C][C]-64.9436[/C][C]-156.723[/C][/ROW]
[ROW][C]49[/C][C]4300[/C][C]4325.89[/C][C]4351.67[/C][C]-25.7769[/C][C]-25.8898[/C][/ROW]
[ROW][C]50[/C][C]4180[/C][C]4188.55[/C][C]4290.42[/C][C]-101.871[/C][C]-8.54601[/C][/ROW]
[ROW][C]51[/C][C]4120[/C][C]3995.06[/C][C]4179.58[/C][C]-184.527[/C][C]124.944[/C][/ROW]
[ROW][C]52[/C][C]3910[/C][C]3825.32[/C][C]4082.92[/C][C]-257.6[/C][C]84.6832[/C][/ROW]
[ROW][C]53[/C][C]4300[/C][C]3898.08[/C][C]4019.17[/C][C]-121.089[/C][C]401.923[/C][/ROW]
[ROW][C]54[/C][C]4240[/C][C]4363.23[/C][C]3973.33[/C][C]389.9[/C][C]-123.234[/C][/ROW]
[ROW][C]55[/C][C]3610[/C][C]3718.81[/C][C]3940.42[/C][C]-221.61[/C][C]-108.806[/C][/ROW]
[ROW][C]56[/C][C]3600[/C][C]4049.9[/C][C]3931.25[/C][C]118.65[/C][C]-449.9[/C][/ROW]
[ROW][C]57[/C][C]3970[/C][C]4335.94[/C][C]3917.08[/C][C]418.859[/C][C]-365.942[/C][/ROW]
[ROW][C]58[/C][C]3790[/C][C]4023.49[/C][C]3892.08[/C][C]131.411[/C][C]-233.494[/C][/ROW]
[ROW][C]59[/C][C]3750[/C][C]3798.6[/C][C]3880[/C][C]-81.4019[/C][C]-48.5981[/C][/ROW]
[ROW][C]60[/C][C]3680[/C][C]3783.39[/C][C]3848.33[/C][C]-64.9436[/C][C]-103.39[/C][/ROW]
[ROW][C]61[/C][C]3970[/C][C]3824.64[/C][C]3850.42[/C][C]-25.7769[/C][C]145.36[/C][/ROW]
[ROW][C]62[/C][C]4290[/C][C]3810.21[/C][C]3912.08[/C][C]-101.871[/C][C]479.787[/C][/ROW]
[ROW][C]63[/C][C]3670[/C][C]3783.39[/C][C]3967.92[/C][C]-184.527[/C][C]-113.39[/C][/ROW]
[ROW][C]64[/C][C]3760[/C][C]3769.9[/C][C]4027.5[/C][C]-257.6[/C][C]-9.90017[/C][/ROW]
[ROW][C]65[/C][C]4160[/C][C]3939.74[/C][C]4060.83[/C][C]-121.089[/C][C]220.256[/C][/ROW]
[ROW][C]66[/C][C]3620[/C][C]4448.23[/C][C]4058.33[/C][C]389.9[/C][C]-828.234[/C][/ROW]
[ROW][C]67[/C][C]4280[/C][C]3830.06[/C][C]4051.67[/C][C]-221.61[/C][C]449.944[/C][/ROW]
[ROW][C]68[/C][C]4410[/C][C]4148.65[/C][C]4030[/C][C]118.65[/C][C]261.35[/C][/ROW]
[ROW][C]69[/C][C]4500[/C][C]4423.86[/C][C]4005[/C][C]418.859[/C][C]76.1415[/C][/ROW]
[ROW][C]70[/C][C]4690[/C][C]4109.74[/C][C]3978.33[/C][C]131.411[/C][C]580.256[/C][/ROW]
[ROW][C]71[/C][C]3650[/C][C]3839.01[/C][C]3920.42[/C][C]-81.4019[/C][C]-189.015[/C][/ROW]
[ROW][C]72[/C][C]3720[/C][C]3825.47[/C][C]3890.42[/C][C]-64.9436[/C][C]-105.473[/C][/ROW]
[ROW][C]73[/C][C]3770[/C][C]3855.06[/C][C]3880.83[/C][C]-25.7769[/C][C]-85.0564[/C][/ROW]
[ROW][C]74[/C][C]3970[/C][C]3714.38[/C][C]3816.25[/C][C]-101.871[/C][C]255.621[/C][/ROW]
[ROW][C]75[/C][C]3390[/C][C]3552.97[/C][C]3737.5[/C][C]-184.527[/C][C]-162.973[/C][/ROW]
[ROW][C]76[/C][C]3400[/C][C]3413.65[/C][C]3671.25[/C][C]-257.6[/C][C]-13.6502[/C][/ROW]
[ROW][C]77[/C][C]3130[/C][C]3511.83[/C][C]3632.92[/C][C]-121.089[/C][C]-381.827[/C][/ROW]
[ROW][C]78[/C][C]3930[/C][C]4001.57[/C][C]3611.67[/C][C]389.9[/C][C]-71.5668[/C][/ROW]
[ROW][C]79[/C][C]3740[/C][C]3376.31[/C][C]3597.92[/C][C]-221.61[/C][C]363.694[/C][/ROW]
[ROW][C]80[/C][C]3400[/C][C]3701.15[/C][C]3582.5[/C][C]118.65[/C][C]-301.15[/C][/ROW]
[ROW][C]81[/C][C]3620[/C][C]3998.03[/C][C]3579.17[/C][C]418.859[/C][C]-378.025[/C][/ROW]
[ROW][C]82[/C][C]3980[/C][C]3743.91[/C][C]3612.5[/C][C]131.411[/C][C]236.089[/C][/ROW]
[ROW][C]83[/C][C]3440[/C][C]3570.68[/C][C]3652.08[/C][C]-81.4019[/C][C]-130.681[/C][/ROW]
[ROW][C]84[/C][C]3420[/C][C]3590.06[/C][C]3655[/C][C]-64.9436[/C][C]-170.056[/C][/ROW]
[ROW][C]85[/C][C]3740[/C][C]3615.06[/C][C]3640.83[/C][C]-25.7769[/C][C]124.944[/C][/ROW]
[ROW][C]86[/C][C]3630[/C][C]3560.21[/C][C]3662.08[/C][C]-101.871[/C][C]69.7873[/C][/ROW]
[ROW][C]87[/C][C]3650[/C][C]3500.89[/C][C]3685.42[/C][C]-184.527[/C][C]149.11[/C][/ROW]
[ROW][C]88[/C][C]3940[/C][C]3410.32[/C][C]3667.92[/C][C]-257.6[/C][C]529.683[/C][/ROW]
[ROW][C]89[/C][C]3540[/C][C]3526.83[/C][C]3647.92[/C][C]-121.089[/C][C]13.1727[/C][/ROW]
[ROW][C]90[/C][C]3590[/C][C]4037.4[/C][C]3647.5[/C][C]389.9[/C][C]-447.4[/C][/ROW]
[ROW][C]91[/C][C]3740[/C][C]3421.31[/C][C]3642.92[/C][C]-221.61[/C][C]318.694[/C][/ROW]
[ROW][C]92[/C][C]3910[/C][C]3759.48[/C][C]3640.83[/C][C]118.65[/C][C]150.516[/C][/ROW]
[ROW][C]93[/C][C]3670[/C][C]4049.69[/C][C]3630.83[/C][C]418.859[/C][C]-379.692[/C][/ROW]
[ROW][C]94[/C][C]3510[/C][C]3730.16[/C][C]3598.75[/C][C]131.411[/C][C]-220.161[/C][/ROW]
[ROW][C]95[/C][C]3430[/C][C]3491.1[/C][C]3572.5[/C][C]-81.4019[/C][C]-61.0981[/C][/ROW]
[ROW][C]96[/C][C]3420[/C][C]3517.56[/C][C]3582.5[/C][C]-64.9436[/C][C]-97.5564[/C][/ROW]
[ROW][C]97[/C][C]3630[/C][C]3575.47[/C][C]3601.25[/C][C]-25.7769[/C][C]54.5269[/C][/ROW]
[ROW][C]98[/C][C]3690[/C][C]3481.88[/C][C]3583.75[/C][C]-101.871[/C][C]208.121[/C][/ROW]
[ROW][C]99[/C][C]3350[/C][C]3375.89[/C][C]3560.42[/C][C]-184.527[/C][C]-25.8898[/C][/ROW]
[ROW][C]100[/C][C]3470[/C][C]3302.82[/C][C]3560.42[/C][C]-257.6[/C][C]167.183[/C][/ROW]
[ROW][C]101[/C][C]3380[/C][C]3466.41[/C][C]3587.5[/C][C]-121.089[/C][C]-86.4106[/C][/ROW]
[ROW][C]102[/C][C]3990[/C][C]4009.9[/C][C]3620[/C][C]389.9[/C][C]-19.9002[/C][/ROW]
[ROW][C]103[/C][C]3790[/C][C]NA[/C][C]NA[/C][C]-221.61[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]3440[/C][C]NA[/C][C]NA[/C][C]118.65[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]3580[/C][C]NA[/C][C]NA[/C][C]418.859[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]3600[/C][C]NA[/C][C]NA[/C][C]131.411[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]3990[/C][C]NA[/C][C]NA[/C][C]-81.4019[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]3640[/C][C]NA[/C][C]NA[/C][C]-64.9436[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299214&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299214&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
15350NANA-25.7769NA
26100NANA-101.871NA
34820NANA-184.527NA
45130NANA-257.6NA
54060NANA-121.089NA
66710NANA389.9NA
745104898.815120.42-221.61-388.806
856305141.985023.33118.65488.016
952005340.944922.08418.859-140.942
1045104982.664851.25131.411-472.661
1148104769.434850.83-81.401940.5686
1249304793.394858.33-64.9436136.61
1347204795.064820.83-25.7769-75.0564
1444004666.464768.33-101.871-266.463
1540904559.644744.17-184.527-469.64
1641604531.984789.58-257.6-371.984
1750204690.164811.25-121.089329.839
1859305196.154806.25389.9733.85
1943904575.894797.5-221.61-185.89
2044904911.154792.5118.65-421.15
2157605217.194798.33418.859542.808
2250404939.334807.92131.411100.673
2348004678.64760-81.4019121.402
2448204662.144727.08-64.9436157.86
2546204714.644740.42-25.7769-94.6398
2643804641.884743.75-101.871-261.879
2742504538.394722.92-184.527-288.39
2842304416.574674.17-257.6-186.567
2938004528.494649.58-121.089-728.494
3063605034.94645389.91325.1
3142804412.974634.58-221.61-132.973
3246804720.734602.08118.65-40.7335
3350705032.194613.33418.85937.8082
3445604768.914637.5131.411-208.911
3546904579.014660.42-81.4019110.985
3648204539.224604.17-64.9436280.777
3743704472.144497.92-25.7769-102.14
3838504384.384486.25-101.871-534.379
3950504321.724506.25-184.527728.277
4040104267.44525-257.6-257.4
4145704396.414517.5-121.089173.589
4242404866.574476.67389.9-626.567
4338504223.814445.42-221.61-373.806
4448304574.94456.25118.65255.1
4554004850.114431.25418.859549.891
4646804519.744388.33131.411160.256
4743904291.514372.92-81.401998.4852
4841404296.724361.67-64.9436-156.723
4943004325.894351.67-25.7769-25.8898
5041804188.554290.42-101.871-8.54601
5141203995.064179.58-184.527124.944
5239103825.324082.92-257.684.6832
5343003898.084019.17-121.089401.923
5442404363.233973.33389.9-123.234
5536103718.813940.42-221.61-108.806
5636004049.93931.25118.65-449.9
5739704335.943917.08418.859-365.942
5837904023.493892.08131.411-233.494
5937503798.63880-81.4019-48.5981
6036803783.393848.33-64.9436-103.39
6139703824.643850.42-25.7769145.36
6242903810.213912.08-101.871479.787
6336703783.393967.92-184.527-113.39
6437603769.94027.5-257.6-9.90017
6541603939.744060.83-121.089220.256
6636204448.234058.33389.9-828.234
6742803830.064051.67-221.61449.944
6844104148.654030118.65261.35
6945004423.864005418.85976.1415
7046904109.743978.33131.411580.256
7136503839.013920.42-81.4019-189.015
7237203825.473890.42-64.9436-105.473
7337703855.063880.83-25.7769-85.0564
7439703714.383816.25-101.871255.621
7533903552.973737.5-184.527-162.973
7634003413.653671.25-257.6-13.6502
7731303511.833632.92-121.089-381.827
7839304001.573611.67389.9-71.5668
7937403376.313597.92-221.61363.694
8034003701.153582.5118.65-301.15
8136203998.033579.17418.859-378.025
8239803743.913612.5131.411236.089
8334403570.683652.08-81.4019-130.681
8434203590.063655-64.9436-170.056
8537403615.063640.83-25.7769124.944
8636303560.213662.08-101.87169.7873
8736503500.893685.42-184.527149.11
8839403410.323667.92-257.6529.683
8935403526.833647.92-121.08913.1727
9035904037.43647.5389.9-447.4
9137403421.313642.92-221.61318.694
9239103759.483640.83118.65150.516
9336704049.693630.83418.859-379.692
9435103730.163598.75131.411-220.161
9534303491.13572.5-81.4019-61.0981
9634203517.563582.5-64.9436-97.5564
9736303575.473601.25-25.776954.5269
9836903481.883583.75-101.871208.121
9933503375.893560.42-184.527-25.8898
10034703302.823560.42-257.6167.183
10133803466.413587.5-121.089-86.4106
10239904009.93620389.9-19.9002
1033790NANA-221.61NA
1043440NANA118.65NA
1053580NANA418.859NA
1063600NANA131.411NA
1073990NANA-81.4019NA
1083640NANA-64.9436NA



Parameters (Session):
par1 = additive ; par2 = 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')