Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Dec 2016 20:37:44 +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/14/t1481744306owribp4rb6rz8xc.htm/, Retrieved Fri, 17 May 2024 13:31:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299703, Retrieved Fri, 17 May 2024 13:31:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-14 19:37:44] [037fdaa34a77b5f63489b3bcd360a80c] [Current]
Feedback Forum

Post a new message
Dataseries X:
3455
3585
3675
3680
3735
3860
3765
3905
4110
4170
4110
4025
4145
4285
4370
4355
4385
4525
4375
4525
4610
4595
4500
4370
4390
4530
4590
4580
4595
4685
4490
4635
4710
4655
4665
4550
4590
4675
4645
4665
4635
4720
4565
4720
4830
4830
4765
4705
4675
4900
4945
4905
4955
5120
4860
5040
5140
5240
5145
5070
5085
5215
5255
5275
5315
5450
5205
5370
5500
5490
5440
5360
5380
5460
5450
5520
5475
5600
5250
5465
5515
5425
5325
5275
5160
5360
5435
5285
5415
5575
5265
5480
5565
5500
5280
5135
5050
5100
5070
5115
5140
5330
5080
5285
5405
5385
5255
5100
5040
5235
5310
5265
5380
5465
5225
5445




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299703&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299703&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299703&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13455NANA-137.926NA
23585NANA-13.4814NA
33675NANA6.90924NA
43680NANA-13.6637NA
53735NANA0.919657NA
63860NANA125.607NA
737653746.363868.33-121.97718.6434
839053963.743926.2537.4908-58.7408
941104113.323984.37128.949-3.32417
1041704144.944041.46103.48625.0555
1141104095.754096.67-0.91194114.2453
1240254036.064151.46-115.403-11.0557
1341454066.664204.58-137.92678.3425
1442854242.354255.83-13.481442.6481
1543704309.414302.56.9092460.5908
1643554327.384341.04-13.663727.622
1743854375.9243750.9196579.08034
1845254531.234405.62125.607-6.23216
1943754308.234430.21-121.97766.7684
2045254488.124450.6237.490836.8842
2146104598.954470128.94911.0508
2245954592.034488.54103.4862.97213
2345004505.754506.67-0.911941-5.75473
2443704406.684522.08-115.403-36.6807
2543904395.624533.54-137.926-5.61584
2645304529.444542.92-13.48140.564718
2745904558.584551.676.9092431.4241
2845804544.674558.33-13.663735.3303
2945954568.634567.710.91965726.372
3046854707.694582.08125.607-22.6905
3144904475.944597.92-121.97714.0601
3246354649.784612.2937.4908-14.7825
3347104749.574620.62128.949-39.5742
3446554729.944626.46103.486-74.9445
3546654630.754631.67-0.91194134.2453
3645504519.394634.79-115.40330.611
3745904501.454639.37-137.92688.5508
3846754632.564646.04-13.481442.4397
3946454661.494654.586.90924-16.4926
4046654653.214666.87-13.663711.7887
4146354679.254678.330.919657-44.253
4247204814.574688.96125.607-94.5655
4345654576.984698.96-121.977-11.9816
4447204749.374711.8837.4908-29.3658
4548304862.74733.75128.949-32.6992
4648304859.744756.25103.486-29.7362
4747654778.674779.58-0.911941-13.6714
4847054694.184809.58-115.40310.8193
4946754700.624838.54-137.926-25.6158
5049004850.694864.17-13.481449.3147
5149454897.334890.426.9092447.6741
5249054906.754920.42-13.6637-1.75299
5349554954.254953.330.9196570.74701
5451205109.984984.38125.60710.0178
5548604894.695016.67-121.977-34.6899
5650405084.375046.8837.4908-44.3658
5751405201.875072.92128.949-61.8658
5852405204.745101.25103.48635.2638
5951455130.755131.67-0.91194114.2453
6050705045.015160.42-115.40324.986
6150855050.625188.54-137.92634.3842
6252155203.195216.67-13.481411.8147
6352555252.335245.426.909242.67409
6452755257.175270.83-13.663717.8303
6553155294.465293.540.91965720.5387
6654505443.525317.92125.6076.47618
6752055220.315342.29-121.977-15.3149
6853705402.285364.7937.4908-32.2825
6955005512.075383.12128.949-12.0742
7054905504.945401.46103.486-14.9445
7154405417.425418.33-0.91194122.5786
7253605315.855431.25-115.40344.1527
7353805301.455439.37-137.92678.5508
7454605431.735445.21-13.481428.2731
7554505456.75449.796.90924-6.70091
7655205434.045447.71-13.663785.9553
7754755441.135440.210.91965733.872
7856005557.485431.87125.60742.5178
7952505297.195419.17-121.977-47.1899
8054655443.325405.8337.490821.6758
8155155529.995401.04128.949-14.9908
8254255494.115390.63103.486-69.1112
8353255377.425378.33-0.911941-52.4214
8452755259.395374.79-115.40315.611
8551605236.455374.38-137.926-76.4492
8653605362.145375.62-13.4814-2.14361
8754355385.245378.336.9092449.7574
8852855369.885383.54-13.6637-84.878
8954155385.715384.790.91965729.2887
9055755502.695377.08125.60772.3095
9152655244.695366.67-121.97720.3101
9254805388.745351.2537.490891.2592
9355655454.165325.21128.949110.842
9455005406.45302.92103.48693.5971
9552805283.465284.38-0.911941-3.46306
9651355147.315262.71-115.403-12.3057
9750505106.875244.79-137.926-56.8658
9851005215.485228.96-13.4814-115.477
9950705221.085214.176.90924-151.076
10051155189.045202.71-13.6637-74.0447
10151405197.795196.880.919657-57.7947
10253305319.985194.37125.60710.0178
10350805070.525192.5-121.9779.47676
10452855235.25197.7137.490849.8008
10554055342.285213.33128.94962.7175
10653855333.075229.58103.48651.9305
10752555244.925245.83-0.91194110.0786
10851005146.065261.46-115.403-46.0557
10950405135.25273.13-137.926-95.1992
11052355272.355285.83-13.4814-37.3519
1115310NANA6.90924NA
1125265NANA-13.6637NA
1135380NANA0.919657NA
1145465NANA125.607NA
1155225NANA-121.977NA
1165445NANA37.4908NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3455 & NA & NA & -137.926 & NA \tabularnewline
2 & 3585 & NA & NA & -13.4814 & NA \tabularnewline
3 & 3675 & NA & NA & 6.90924 & NA \tabularnewline
4 & 3680 & NA & NA & -13.6637 & NA \tabularnewline
5 & 3735 & NA & NA & 0.919657 & NA \tabularnewline
6 & 3860 & NA & NA & 125.607 & NA \tabularnewline
7 & 3765 & 3746.36 & 3868.33 & -121.977 & 18.6434 \tabularnewline
8 & 3905 & 3963.74 & 3926.25 & 37.4908 & -58.7408 \tabularnewline
9 & 4110 & 4113.32 & 3984.37 & 128.949 & -3.32417 \tabularnewline
10 & 4170 & 4144.94 & 4041.46 & 103.486 & 25.0555 \tabularnewline
11 & 4110 & 4095.75 & 4096.67 & -0.911941 & 14.2453 \tabularnewline
12 & 4025 & 4036.06 & 4151.46 & -115.403 & -11.0557 \tabularnewline
13 & 4145 & 4066.66 & 4204.58 & -137.926 & 78.3425 \tabularnewline
14 & 4285 & 4242.35 & 4255.83 & -13.4814 & 42.6481 \tabularnewline
15 & 4370 & 4309.41 & 4302.5 & 6.90924 & 60.5908 \tabularnewline
16 & 4355 & 4327.38 & 4341.04 & -13.6637 & 27.622 \tabularnewline
17 & 4385 & 4375.92 & 4375 & 0.919657 & 9.08034 \tabularnewline
18 & 4525 & 4531.23 & 4405.62 & 125.607 & -6.23216 \tabularnewline
19 & 4375 & 4308.23 & 4430.21 & -121.977 & 66.7684 \tabularnewline
20 & 4525 & 4488.12 & 4450.62 & 37.4908 & 36.8842 \tabularnewline
21 & 4610 & 4598.95 & 4470 & 128.949 & 11.0508 \tabularnewline
22 & 4595 & 4592.03 & 4488.54 & 103.486 & 2.97213 \tabularnewline
23 & 4500 & 4505.75 & 4506.67 & -0.911941 & -5.75473 \tabularnewline
24 & 4370 & 4406.68 & 4522.08 & -115.403 & -36.6807 \tabularnewline
25 & 4390 & 4395.62 & 4533.54 & -137.926 & -5.61584 \tabularnewline
26 & 4530 & 4529.44 & 4542.92 & -13.4814 & 0.564718 \tabularnewline
27 & 4590 & 4558.58 & 4551.67 & 6.90924 & 31.4241 \tabularnewline
28 & 4580 & 4544.67 & 4558.33 & -13.6637 & 35.3303 \tabularnewline
29 & 4595 & 4568.63 & 4567.71 & 0.919657 & 26.372 \tabularnewline
30 & 4685 & 4707.69 & 4582.08 & 125.607 & -22.6905 \tabularnewline
31 & 4490 & 4475.94 & 4597.92 & -121.977 & 14.0601 \tabularnewline
32 & 4635 & 4649.78 & 4612.29 & 37.4908 & -14.7825 \tabularnewline
33 & 4710 & 4749.57 & 4620.62 & 128.949 & -39.5742 \tabularnewline
34 & 4655 & 4729.94 & 4626.46 & 103.486 & -74.9445 \tabularnewline
35 & 4665 & 4630.75 & 4631.67 & -0.911941 & 34.2453 \tabularnewline
36 & 4550 & 4519.39 & 4634.79 & -115.403 & 30.611 \tabularnewline
37 & 4590 & 4501.45 & 4639.37 & -137.926 & 88.5508 \tabularnewline
38 & 4675 & 4632.56 & 4646.04 & -13.4814 & 42.4397 \tabularnewline
39 & 4645 & 4661.49 & 4654.58 & 6.90924 & -16.4926 \tabularnewline
40 & 4665 & 4653.21 & 4666.87 & -13.6637 & 11.7887 \tabularnewline
41 & 4635 & 4679.25 & 4678.33 & 0.919657 & -44.253 \tabularnewline
42 & 4720 & 4814.57 & 4688.96 & 125.607 & -94.5655 \tabularnewline
43 & 4565 & 4576.98 & 4698.96 & -121.977 & -11.9816 \tabularnewline
44 & 4720 & 4749.37 & 4711.88 & 37.4908 & -29.3658 \tabularnewline
45 & 4830 & 4862.7 & 4733.75 & 128.949 & -32.6992 \tabularnewline
46 & 4830 & 4859.74 & 4756.25 & 103.486 & -29.7362 \tabularnewline
47 & 4765 & 4778.67 & 4779.58 & -0.911941 & -13.6714 \tabularnewline
48 & 4705 & 4694.18 & 4809.58 & -115.403 & 10.8193 \tabularnewline
49 & 4675 & 4700.62 & 4838.54 & -137.926 & -25.6158 \tabularnewline
50 & 4900 & 4850.69 & 4864.17 & -13.4814 & 49.3147 \tabularnewline
51 & 4945 & 4897.33 & 4890.42 & 6.90924 & 47.6741 \tabularnewline
52 & 4905 & 4906.75 & 4920.42 & -13.6637 & -1.75299 \tabularnewline
53 & 4955 & 4954.25 & 4953.33 & 0.919657 & 0.74701 \tabularnewline
54 & 5120 & 5109.98 & 4984.38 & 125.607 & 10.0178 \tabularnewline
55 & 4860 & 4894.69 & 5016.67 & -121.977 & -34.6899 \tabularnewline
56 & 5040 & 5084.37 & 5046.88 & 37.4908 & -44.3658 \tabularnewline
57 & 5140 & 5201.87 & 5072.92 & 128.949 & -61.8658 \tabularnewline
58 & 5240 & 5204.74 & 5101.25 & 103.486 & 35.2638 \tabularnewline
59 & 5145 & 5130.75 & 5131.67 & -0.911941 & 14.2453 \tabularnewline
60 & 5070 & 5045.01 & 5160.42 & -115.403 & 24.986 \tabularnewline
61 & 5085 & 5050.62 & 5188.54 & -137.926 & 34.3842 \tabularnewline
62 & 5215 & 5203.19 & 5216.67 & -13.4814 & 11.8147 \tabularnewline
63 & 5255 & 5252.33 & 5245.42 & 6.90924 & 2.67409 \tabularnewline
64 & 5275 & 5257.17 & 5270.83 & -13.6637 & 17.8303 \tabularnewline
65 & 5315 & 5294.46 & 5293.54 & 0.919657 & 20.5387 \tabularnewline
66 & 5450 & 5443.52 & 5317.92 & 125.607 & 6.47618 \tabularnewline
67 & 5205 & 5220.31 & 5342.29 & -121.977 & -15.3149 \tabularnewline
68 & 5370 & 5402.28 & 5364.79 & 37.4908 & -32.2825 \tabularnewline
69 & 5500 & 5512.07 & 5383.12 & 128.949 & -12.0742 \tabularnewline
70 & 5490 & 5504.94 & 5401.46 & 103.486 & -14.9445 \tabularnewline
71 & 5440 & 5417.42 & 5418.33 & -0.911941 & 22.5786 \tabularnewline
72 & 5360 & 5315.85 & 5431.25 & -115.403 & 44.1527 \tabularnewline
73 & 5380 & 5301.45 & 5439.37 & -137.926 & 78.5508 \tabularnewline
74 & 5460 & 5431.73 & 5445.21 & -13.4814 & 28.2731 \tabularnewline
75 & 5450 & 5456.7 & 5449.79 & 6.90924 & -6.70091 \tabularnewline
76 & 5520 & 5434.04 & 5447.71 & -13.6637 & 85.9553 \tabularnewline
77 & 5475 & 5441.13 & 5440.21 & 0.919657 & 33.872 \tabularnewline
78 & 5600 & 5557.48 & 5431.87 & 125.607 & 42.5178 \tabularnewline
79 & 5250 & 5297.19 & 5419.17 & -121.977 & -47.1899 \tabularnewline
80 & 5465 & 5443.32 & 5405.83 & 37.4908 & 21.6758 \tabularnewline
81 & 5515 & 5529.99 & 5401.04 & 128.949 & -14.9908 \tabularnewline
82 & 5425 & 5494.11 & 5390.63 & 103.486 & -69.1112 \tabularnewline
83 & 5325 & 5377.42 & 5378.33 & -0.911941 & -52.4214 \tabularnewline
84 & 5275 & 5259.39 & 5374.79 & -115.403 & 15.611 \tabularnewline
85 & 5160 & 5236.45 & 5374.38 & -137.926 & -76.4492 \tabularnewline
86 & 5360 & 5362.14 & 5375.62 & -13.4814 & -2.14361 \tabularnewline
87 & 5435 & 5385.24 & 5378.33 & 6.90924 & 49.7574 \tabularnewline
88 & 5285 & 5369.88 & 5383.54 & -13.6637 & -84.878 \tabularnewline
89 & 5415 & 5385.71 & 5384.79 & 0.919657 & 29.2887 \tabularnewline
90 & 5575 & 5502.69 & 5377.08 & 125.607 & 72.3095 \tabularnewline
91 & 5265 & 5244.69 & 5366.67 & -121.977 & 20.3101 \tabularnewline
92 & 5480 & 5388.74 & 5351.25 & 37.4908 & 91.2592 \tabularnewline
93 & 5565 & 5454.16 & 5325.21 & 128.949 & 110.842 \tabularnewline
94 & 5500 & 5406.4 & 5302.92 & 103.486 & 93.5971 \tabularnewline
95 & 5280 & 5283.46 & 5284.38 & -0.911941 & -3.46306 \tabularnewline
96 & 5135 & 5147.31 & 5262.71 & -115.403 & -12.3057 \tabularnewline
97 & 5050 & 5106.87 & 5244.79 & -137.926 & -56.8658 \tabularnewline
98 & 5100 & 5215.48 & 5228.96 & -13.4814 & -115.477 \tabularnewline
99 & 5070 & 5221.08 & 5214.17 & 6.90924 & -151.076 \tabularnewline
100 & 5115 & 5189.04 & 5202.71 & -13.6637 & -74.0447 \tabularnewline
101 & 5140 & 5197.79 & 5196.88 & 0.919657 & -57.7947 \tabularnewline
102 & 5330 & 5319.98 & 5194.37 & 125.607 & 10.0178 \tabularnewline
103 & 5080 & 5070.52 & 5192.5 & -121.977 & 9.47676 \tabularnewline
104 & 5285 & 5235.2 & 5197.71 & 37.4908 & 49.8008 \tabularnewline
105 & 5405 & 5342.28 & 5213.33 & 128.949 & 62.7175 \tabularnewline
106 & 5385 & 5333.07 & 5229.58 & 103.486 & 51.9305 \tabularnewline
107 & 5255 & 5244.92 & 5245.83 & -0.911941 & 10.0786 \tabularnewline
108 & 5100 & 5146.06 & 5261.46 & -115.403 & -46.0557 \tabularnewline
109 & 5040 & 5135.2 & 5273.13 & -137.926 & -95.1992 \tabularnewline
110 & 5235 & 5272.35 & 5285.83 & -13.4814 & -37.3519 \tabularnewline
111 & 5310 & NA & NA & 6.90924 & NA \tabularnewline
112 & 5265 & NA & NA & -13.6637 & NA \tabularnewline
113 & 5380 & NA & NA & 0.919657 & NA \tabularnewline
114 & 5465 & NA & NA & 125.607 & NA \tabularnewline
115 & 5225 & NA & NA & -121.977 & NA \tabularnewline
116 & 5445 & NA & NA & 37.4908 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299703&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]3455[/C][C]NA[/C][C]NA[/C][C]-137.926[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3585[/C][C]NA[/C][C]NA[/C][C]-13.4814[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3675[/C][C]NA[/C][C]NA[/C][C]6.90924[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3680[/C][C]NA[/C][C]NA[/C][C]-13.6637[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3735[/C][C]NA[/C][C]NA[/C][C]0.919657[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3860[/C][C]NA[/C][C]NA[/C][C]125.607[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3765[/C][C]3746.36[/C][C]3868.33[/C][C]-121.977[/C][C]18.6434[/C][/ROW]
[ROW][C]8[/C][C]3905[/C][C]3963.74[/C][C]3926.25[/C][C]37.4908[/C][C]-58.7408[/C][/ROW]
[ROW][C]9[/C][C]4110[/C][C]4113.32[/C][C]3984.37[/C][C]128.949[/C][C]-3.32417[/C][/ROW]
[ROW][C]10[/C][C]4170[/C][C]4144.94[/C][C]4041.46[/C][C]103.486[/C][C]25.0555[/C][/ROW]
[ROW][C]11[/C][C]4110[/C][C]4095.75[/C][C]4096.67[/C][C]-0.911941[/C][C]14.2453[/C][/ROW]
[ROW][C]12[/C][C]4025[/C][C]4036.06[/C][C]4151.46[/C][C]-115.403[/C][C]-11.0557[/C][/ROW]
[ROW][C]13[/C][C]4145[/C][C]4066.66[/C][C]4204.58[/C][C]-137.926[/C][C]78.3425[/C][/ROW]
[ROW][C]14[/C][C]4285[/C][C]4242.35[/C][C]4255.83[/C][C]-13.4814[/C][C]42.6481[/C][/ROW]
[ROW][C]15[/C][C]4370[/C][C]4309.41[/C][C]4302.5[/C][C]6.90924[/C][C]60.5908[/C][/ROW]
[ROW][C]16[/C][C]4355[/C][C]4327.38[/C][C]4341.04[/C][C]-13.6637[/C][C]27.622[/C][/ROW]
[ROW][C]17[/C][C]4385[/C][C]4375.92[/C][C]4375[/C][C]0.919657[/C][C]9.08034[/C][/ROW]
[ROW][C]18[/C][C]4525[/C][C]4531.23[/C][C]4405.62[/C][C]125.607[/C][C]-6.23216[/C][/ROW]
[ROW][C]19[/C][C]4375[/C][C]4308.23[/C][C]4430.21[/C][C]-121.977[/C][C]66.7684[/C][/ROW]
[ROW][C]20[/C][C]4525[/C][C]4488.12[/C][C]4450.62[/C][C]37.4908[/C][C]36.8842[/C][/ROW]
[ROW][C]21[/C][C]4610[/C][C]4598.95[/C][C]4470[/C][C]128.949[/C][C]11.0508[/C][/ROW]
[ROW][C]22[/C][C]4595[/C][C]4592.03[/C][C]4488.54[/C][C]103.486[/C][C]2.97213[/C][/ROW]
[ROW][C]23[/C][C]4500[/C][C]4505.75[/C][C]4506.67[/C][C]-0.911941[/C][C]-5.75473[/C][/ROW]
[ROW][C]24[/C][C]4370[/C][C]4406.68[/C][C]4522.08[/C][C]-115.403[/C][C]-36.6807[/C][/ROW]
[ROW][C]25[/C][C]4390[/C][C]4395.62[/C][C]4533.54[/C][C]-137.926[/C][C]-5.61584[/C][/ROW]
[ROW][C]26[/C][C]4530[/C][C]4529.44[/C][C]4542.92[/C][C]-13.4814[/C][C]0.564718[/C][/ROW]
[ROW][C]27[/C][C]4590[/C][C]4558.58[/C][C]4551.67[/C][C]6.90924[/C][C]31.4241[/C][/ROW]
[ROW][C]28[/C][C]4580[/C][C]4544.67[/C][C]4558.33[/C][C]-13.6637[/C][C]35.3303[/C][/ROW]
[ROW][C]29[/C][C]4595[/C][C]4568.63[/C][C]4567.71[/C][C]0.919657[/C][C]26.372[/C][/ROW]
[ROW][C]30[/C][C]4685[/C][C]4707.69[/C][C]4582.08[/C][C]125.607[/C][C]-22.6905[/C][/ROW]
[ROW][C]31[/C][C]4490[/C][C]4475.94[/C][C]4597.92[/C][C]-121.977[/C][C]14.0601[/C][/ROW]
[ROW][C]32[/C][C]4635[/C][C]4649.78[/C][C]4612.29[/C][C]37.4908[/C][C]-14.7825[/C][/ROW]
[ROW][C]33[/C][C]4710[/C][C]4749.57[/C][C]4620.62[/C][C]128.949[/C][C]-39.5742[/C][/ROW]
[ROW][C]34[/C][C]4655[/C][C]4729.94[/C][C]4626.46[/C][C]103.486[/C][C]-74.9445[/C][/ROW]
[ROW][C]35[/C][C]4665[/C][C]4630.75[/C][C]4631.67[/C][C]-0.911941[/C][C]34.2453[/C][/ROW]
[ROW][C]36[/C][C]4550[/C][C]4519.39[/C][C]4634.79[/C][C]-115.403[/C][C]30.611[/C][/ROW]
[ROW][C]37[/C][C]4590[/C][C]4501.45[/C][C]4639.37[/C][C]-137.926[/C][C]88.5508[/C][/ROW]
[ROW][C]38[/C][C]4675[/C][C]4632.56[/C][C]4646.04[/C][C]-13.4814[/C][C]42.4397[/C][/ROW]
[ROW][C]39[/C][C]4645[/C][C]4661.49[/C][C]4654.58[/C][C]6.90924[/C][C]-16.4926[/C][/ROW]
[ROW][C]40[/C][C]4665[/C][C]4653.21[/C][C]4666.87[/C][C]-13.6637[/C][C]11.7887[/C][/ROW]
[ROW][C]41[/C][C]4635[/C][C]4679.25[/C][C]4678.33[/C][C]0.919657[/C][C]-44.253[/C][/ROW]
[ROW][C]42[/C][C]4720[/C][C]4814.57[/C][C]4688.96[/C][C]125.607[/C][C]-94.5655[/C][/ROW]
[ROW][C]43[/C][C]4565[/C][C]4576.98[/C][C]4698.96[/C][C]-121.977[/C][C]-11.9816[/C][/ROW]
[ROW][C]44[/C][C]4720[/C][C]4749.37[/C][C]4711.88[/C][C]37.4908[/C][C]-29.3658[/C][/ROW]
[ROW][C]45[/C][C]4830[/C][C]4862.7[/C][C]4733.75[/C][C]128.949[/C][C]-32.6992[/C][/ROW]
[ROW][C]46[/C][C]4830[/C][C]4859.74[/C][C]4756.25[/C][C]103.486[/C][C]-29.7362[/C][/ROW]
[ROW][C]47[/C][C]4765[/C][C]4778.67[/C][C]4779.58[/C][C]-0.911941[/C][C]-13.6714[/C][/ROW]
[ROW][C]48[/C][C]4705[/C][C]4694.18[/C][C]4809.58[/C][C]-115.403[/C][C]10.8193[/C][/ROW]
[ROW][C]49[/C][C]4675[/C][C]4700.62[/C][C]4838.54[/C][C]-137.926[/C][C]-25.6158[/C][/ROW]
[ROW][C]50[/C][C]4900[/C][C]4850.69[/C][C]4864.17[/C][C]-13.4814[/C][C]49.3147[/C][/ROW]
[ROW][C]51[/C][C]4945[/C][C]4897.33[/C][C]4890.42[/C][C]6.90924[/C][C]47.6741[/C][/ROW]
[ROW][C]52[/C][C]4905[/C][C]4906.75[/C][C]4920.42[/C][C]-13.6637[/C][C]-1.75299[/C][/ROW]
[ROW][C]53[/C][C]4955[/C][C]4954.25[/C][C]4953.33[/C][C]0.919657[/C][C]0.74701[/C][/ROW]
[ROW][C]54[/C][C]5120[/C][C]5109.98[/C][C]4984.38[/C][C]125.607[/C][C]10.0178[/C][/ROW]
[ROW][C]55[/C][C]4860[/C][C]4894.69[/C][C]5016.67[/C][C]-121.977[/C][C]-34.6899[/C][/ROW]
[ROW][C]56[/C][C]5040[/C][C]5084.37[/C][C]5046.88[/C][C]37.4908[/C][C]-44.3658[/C][/ROW]
[ROW][C]57[/C][C]5140[/C][C]5201.87[/C][C]5072.92[/C][C]128.949[/C][C]-61.8658[/C][/ROW]
[ROW][C]58[/C][C]5240[/C][C]5204.74[/C][C]5101.25[/C][C]103.486[/C][C]35.2638[/C][/ROW]
[ROW][C]59[/C][C]5145[/C][C]5130.75[/C][C]5131.67[/C][C]-0.911941[/C][C]14.2453[/C][/ROW]
[ROW][C]60[/C][C]5070[/C][C]5045.01[/C][C]5160.42[/C][C]-115.403[/C][C]24.986[/C][/ROW]
[ROW][C]61[/C][C]5085[/C][C]5050.62[/C][C]5188.54[/C][C]-137.926[/C][C]34.3842[/C][/ROW]
[ROW][C]62[/C][C]5215[/C][C]5203.19[/C][C]5216.67[/C][C]-13.4814[/C][C]11.8147[/C][/ROW]
[ROW][C]63[/C][C]5255[/C][C]5252.33[/C][C]5245.42[/C][C]6.90924[/C][C]2.67409[/C][/ROW]
[ROW][C]64[/C][C]5275[/C][C]5257.17[/C][C]5270.83[/C][C]-13.6637[/C][C]17.8303[/C][/ROW]
[ROW][C]65[/C][C]5315[/C][C]5294.46[/C][C]5293.54[/C][C]0.919657[/C][C]20.5387[/C][/ROW]
[ROW][C]66[/C][C]5450[/C][C]5443.52[/C][C]5317.92[/C][C]125.607[/C][C]6.47618[/C][/ROW]
[ROW][C]67[/C][C]5205[/C][C]5220.31[/C][C]5342.29[/C][C]-121.977[/C][C]-15.3149[/C][/ROW]
[ROW][C]68[/C][C]5370[/C][C]5402.28[/C][C]5364.79[/C][C]37.4908[/C][C]-32.2825[/C][/ROW]
[ROW][C]69[/C][C]5500[/C][C]5512.07[/C][C]5383.12[/C][C]128.949[/C][C]-12.0742[/C][/ROW]
[ROW][C]70[/C][C]5490[/C][C]5504.94[/C][C]5401.46[/C][C]103.486[/C][C]-14.9445[/C][/ROW]
[ROW][C]71[/C][C]5440[/C][C]5417.42[/C][C]5418.33[/C][C]-0.911941[/C][C]22.5786[/C][/ROW]
[ROW][C]72[/C][C]5360[/C][C]5315.85[/C][C]5431.25[/C][C]-115.403[/C][C]44.1527[/C][/ROW]
[ROW][C]73[/C][C]5380[/C][C]5301.45[/C][C]5439.37[/C][C]-137.926[/C][C]78.5508[/C][/ROW]
[ROW][C]74[/C][C]5460[/C][C]5431.73[/C][C]5445.21[/C][C]-13.4814[/C][C]28.2731[/C][/ROW]
[ROW][C]75[/C][C]5450[/C][C]5456.7[/C][C]5449.79[/C][C]6.90924[/C][C]-6.70091[/C][/ROW]
[ROW][C]76[/C][C]5520[/C][C]5434.04[/C][C]5447.71[/C][C]-13.6637[/C][C]85.9553[/C][/ROW]
[ROW][C]77[/C][C]5475[/C][C]5441.13[/C][C]5440.21[/C][C]0.919657[/C][C]33.872[/C][/ROW]
[ROW][C]78[/C][C]5600[/C][C]5557.48[/C][C]5431.87[/C][C]125.607[/C][C]42.5178[/C][/ROW]
[ROW][C]79[/C][C]5250[/C][C]5297.19[/C][C]5419.17[/C][C]-121.977[/C][C]-47.1899[/C][/ROW]
[ROW][C]80[/C][C]5465[/C][C]5443.32[/C][C]5405.83[/C][C]37.4908[/C][C]21.6758[/C][/ROW]
[ROW][C]81[/C][C]5515[/C][C]5529.99[/C][C]5401.04[/C][C]128.949[/C][C]-14.9908[/C][/ROW]
[ROW][C]82[/C][C]5425[/C][C]5494.11[/C][C]5390.63[/C][C]103.486[/C][C]-69.1112[/C][/ROW]
[ROW][C]83[/C][C]5325[/C][C]5377.42[/C][C]5378.33[/C][C]-0.911941[/C][C]-52.4214[/C][/ROW]
[ROW][C]84[/C][C]5275[/C][C]5259.39[/C][C]5374.79[/C][C]-115.403[/C][C]15.611[/C][/ROW]
[ROW][C]85[/C][C]5160[/C][C]5236.45[/C][C]5374.38[/C][C]-137.926[/C][C]-76.4492[/C][/ROW]
[ROW][C]86[/C][C]5360[/C][C]5362.14[/C][C]5375.62[/C][C]-13.4814[/C][C]-2.14361[/C][/ROW]
[ROW][C]87[/C][C]5435[/C][C]5385.24[/C][C]5378.33[/C][C]6.90924[/C][C]49.7574[/C][/ROW]
[ROW][C]88[/C][C]5285[/C][C]5369.88[/C][C]5383.54[/C][C]-13.6637[/C][C]-84.878[/C][/ROW]
[ROW][C]89[/C][C]5415[/C][C]5385.71[/C][C]5384.79[/C][C]0.919657[/C][C]29.2887[/C][/ROW]
[ROW][C]90[/C][C]5575[/C][C]5502.69[/C][C]5377.08[/C][C]125.607[/C][C]72.3095[/C][/ROW]
[ROW][C]91[/C][C]5265[/C][C]5244.69[/C][C]5366.67[/C][C]-121.977[/C][C]20.3101[/C][/ROW]
[ROW][C]92[/C][C]5480[/C][C]5388.74[/C][C]5351.25[/C][C]37.4908[/C][C]91.2592[/C][/ROW]
[ROW][C]93[/C][C]5565[/C][C]5454.16[/C][C]5325.21[/C][C]128.949[/C][C]110.842[/C][/ROW]
[ROW][C]94[/C][C]5500[/C][C]5406.4[/C][C]5302.92[/C][C]103.486[/C][C]93.5971[/C][/ROW]
[ROW][C]95[/C][C]5280[/C][C]5283.46[/C][C]5284.38[/C][C]-0.911941[/C][C]-3.46306[/C][/ROW]
[ROW][C]96[/C][C]5135[/C][C]5147.31[/C][C]5262.71[/C][C]-115.403[/C][C]-12.3057[/C][/ROW]
[ROW][C]97[/C][C]5050[/C][C]5106.87[/C][C]5244.79[/C][C]-137.926[/C][C]-56.8658[/C][/ROW]
[ROW][C]98[/C][C]5100[/C][C]5215.48[/C][C]5228.96[/C][C]-13.4814[/C][C]-115.477[/C][/ROW]
[ROW][C]99[/C][C]5070[/C][C]5221.08[/C][C]5214.17[/C][C]6.90924[/C][C]-151.076[/C][/ROW]
[ROW][C]100[/C][C]5115[/C][C]5189.04[/C][C]5202.71[/C][C]-13.6637[/C][C]-74.0447[/C][/ROW]
[ROW][C]101[/C][C]5140[/C][C]5197.79[/C][C]5196.88[/C][C]0.919657[/C][C]-57.7947[/C][/ROW]
[ROW][C]102[/C][C]5330[/C][C]5319.98[/C][C]5194.37[/C][C]125.607[/C][C]10.0178[/C][/ROW]
[ROW][C]103[/C][C]5080[/C][C]5070.52[/C][C]5192.5[/C][C]-121.977[/C][C]9.47676[/C][/ROW]
[ROW][C]104[/C][C]5285[/C][C]5235.2[/C][C]5197.71[/C][C]37.4908[/C][C]49.8008[/C][/ROW]
[ROW][C]105[/C][C]5405[/C][C]5342.28[/C][C]5213.33[/C][C]128.949[/C][C]62.7175[/C][/ROW]
[ROW][C]106[/C][C]5385[/C][C]5333.07[/C][C]5229.58[/C][C]103.486[/C][C]51.9305[/C][/ROW]
[ROW][C]107[/C][C]5255[/C][C]5244.92[/C][C]5245.83[/C][C]-0.911941[/C][C]10.0786[/C][/ROW]
[ROW][C]108[/C][C]5100[/C][C]5146.06[/C][C]5261.46[/C][C]-115.403[/C][C]-46.0557[/C][/ROW]
[ROW][C]109[/C][C]5040[/C][C]5135.2[/C][C]5273.13[/C][C]-137.926[/C][C]-95.1992[/C][/ROW]
[ROW][C]110[/C][C]5235[/C][C]5272.35[/C][C]5285.83[/C][C]-13.4814[/C][C]-37.3519[/C][/ROW]
[ROW][C]111[/C][C]5310[/C][C]NA[/C][C]NA[/C][C]6.90924[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]5265[/C][C]NA[/C][C]NA[/C][C]-13.6637[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5380[/C][C]NA[/C][C]NA[/C][C]0.919657[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]5465[/C][C]NA[/C][C]NA[/C][C]125.607[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5225[/C][C]NA[/C][C]NA[/C][C]-121.977[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5445[/C][C]NA[/C][C]NA[/C][C]37.4908[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299703&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299703&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
13455NANA-137.926NA
23585NANA-13.4814NA
33675NANA6.90924NA
43680NANA-13.6637NA
53735NANA0.919657NA
63860NANA125.607NA
737653746.363868.33-121.97718.6434
839053963.743926.2537.4908-58.7408
941104113.323984.37128.949-3.32417
1041704144.944041.46103.48625.0555
1141104095.754096.67-0.91194114.2453
1240254036.064151.46-115.403-11.0557
1341454066.664204.58-137.92678.3425
1442854242.354255.83-13.481442.6481
1543704309.414302.56.9092460.5908
1643554327.384341.04-13.663727.622
1743854375.9243750.9196579.08034
1845254531.234405.62125.607-6.23216
1943754308.234430.21-121.97766.7684
2045254488.124450.6237.490836.8842
2146104598.954470128.94911.0508
2245954592.034488.54103.4862.97213
2345004505.754506.67-0.911941-5.75473
2443704406.684522.08-115.403-36.6807
2543904395.624533.54-137.926-5.61584
2645304529.444542.92-13.48140.564718
2745904558.584551.676.9092431.4241
2845804544.674558.33-13.663735.3303
2945954568.634567.710.91965726.372
3046854707.694582.08125.607-22.6905
3144904475.944597.92-121.97714.0601
3246354649.784612.2937.4908-14.7825
3347104749.574620.62128.949-39.5742
3446554729.944626.46103.486-74.9445
3546654630.754631.67-0.91194134.2453
3645504519.394634.79-115.40330.611
3745904501.454639.37-137.92688.5508
3846754632.564646.04-13.481442.4397
3946454661.494654.586.90924-16.4926
4046654653.214666.87-13.663711.7887
4146354679.254678.330.919657-44.253
4247204814.574688.96125.607-94.5655
4345654576.984698.96-121.977-11.9816
4447204749.374711.8837.4908-29.3658
4548304862.74733.75128.949-32.6992
4648304859.744756.25103.486-29.7362
4747654778.674779.58-0.911941-13.6714
4847054694.184809.58-115.40310.8193
4946754700.624838.54-137.926-25.6158
5049004850.694864.17-13.481449.3147
5149454897.334890.426.9092447.6741
5249054906.754920.42-13.6637-1.75299
5349554954.254953.330.9196570.74701
5451205109.984984.38125.60710.0178
5548604894.695016.67-121.977-34.6899
5650405084.375046.8837.4908-44.3658
5751405201.875072.92128.949-61.8658
5852405204.745101.25103.48635.2638
5951455130.755131.67-0.91194114.2453
6050705045.015160.42-115.40324.986
6150855050.625188.54-137.92634.3842
6252155203.195216.67-13.481411.8147
6352555252.335245.426.909242.67409
6452755257.175270.83-13.663717.8303
6553155294.465293.540.91965720.5387
6654505443.525317.92125.6076.47618
6752055220.315342.29-121.977-15.3149
6853705402.285364.7937.4908-32.2825
6955005512.075383.12128.949-12.0742
7054905504.945401.46103.486-14.9445
7154405417.425418.33-0.91194122.5786
7253605315.855431.25-115.40344.1527
7353805301.455439.37-137.92678.5508
7454605431.735445.21-13.481428.2731
7554505456.75449.796.90924-6.70091
7655205434.045447.71-13.663785.9553
7754755441.135440.210.91965733.872
7856005557.485431.87125.60742.5178
7952505297.195419.17-121.977-47.1899
8054655443.325405.8337.490821.6758
8155155529.995401.04128.949-14.9908
8254255494.115390.63103.486-69.1112
8353255377.425378.33-0.911941-52.4214
8452755259.395374.79-115.40315.611
8551605236.455374.38-137.926-76.4492
8653605362.145375.62-13.4814-2.14361
8754355385.245378.336.9092449.7574
8852855369.885383.54-13.6637-84.878
8954155385.715384.790.91965729.2887
9055755502.695377.08125.60772.3095
9152655244.695366.67-121.97720.3101
9254805388.745351.2537.490891.2592
9355655454.165325.21128.949110.842
9455005406.45302.92103.48693.5971
9552805283.465284.38-0.911941-3.46306
9651355147.315262.71-115.403-12.3057
9750505106.875244.79-137.926-56.8658
9851005215.485228.96-13.4814-115.477
9950705221.085214.176.90924-151.076
10051155189.045202.71-13.6637-74.0447
10151405197.795196.880.919657-57.7947
10253305319.985194.37125.60710.0178
10350805070.525192.5-121.9779.47676
10452855235.25197.7137.490849.8008
10554055342.285213.33128.94962.7175
10653855333.075229.58103.48651.9305
10752555244.925245.83-0.91194110.0786
10851005146.065261.46-115.403-46.0557
10950405135.25273.13-137.926-95.1992
11052355272.355285.83-13.4814-37.3519
1115310NANA6.90924NA
1125265NANA-13.6637NA
1135380NANA0.919657NA
1145465NANA125.607NA
1155225NANA-121.977NA
1165445NANA37.4908NA



Parameters (Session):
par1 = 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')