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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 11 Dec 2013 02:12:47 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/11/t1386745991k4ki5amq09pte26.htm/, Retrieved Thu, 18 Apr 2024 12:52:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232034, Retrieved Thu, 18 Apr 2024 12:52:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-12-11 07:12:47] [655b7e86b856b1a975cbf3a4c6f4d54e] [Current]
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Dataseries X:
5731
5040
6102
4904
5369
5578
4619
4731
5011
5227
4146
4625
4736
4219
5116
4205
4121
5103
4300
4578
3809
5657
4249
3830
4736
4840
4413
4571
4106
4801
3956
3829
4453
4027
4121
4798
3233
3554
3952
3951
3685
4312
3867
4140
4114
3818
3377
3453
3502
4017
5410
5184
5529
6434
4962
2980
2937
2969
2731
3163
3145
3173
3723
3224
4114
3446
2955
3879
4278
4177
3698
4449
4162
3961
5246
5170
3682
3495
3770
3291
3580
3898
3477
3054




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232034&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232034&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232034&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
15731NANA0.940379NA
25040NANA0.955874NA
36102NANA1.12551NA
44904NANA1.06624NA
55369NANA1.03184NA
65578NANA1.12248NA
746194880.565048.790.9666780.946408
847314730.724973.120.9512581.00006
950114762.024897.830.9722721.05228
1052274895.94827.621.014141.06763
1141464184.884746.50.8816780.990708
1246254542.24674.710.9716551.01823
1347364364.894641.620.9403791.08502
1442194418.014621.960.9558740.954955
1551165138.514565.51.125510.995619
1642054833.644533.331.066240.869944
1741214700.574555.541.031840.876702
1851035081.124526.711.122481.00431
1943004343.854493.580.9666780.989905
2045784299.174519.460.9512581.06486
2138094390.824516.040.9722720.867492
2256574565.6745021.014141.23903
2342493982.214516.620.8816781.067
2438304375.774503.420.9716550.875275
2547364209.614476.50.9403791.12505
2648404235.444430.960.9558741.14274
2744134982.164426.581.125510.885761
2845714676.024385.51.066240.977542
2941064449.544312.251.031840.922793
3048014879.684347.251.122480.983875
3139564180.844324.960.9666780.946221
3238294003.614208.750.9512580.956388
3344534021.284135.960.9722721.10736
3440274148.774090.921.014140.970649
3541213568.634047.540.8816781.15479
3647983895.974009.620.9716551.23153
3732333747.923985.540.9403790.862612
3835543818.523994.790.9558740.930728
3939524494.863993.621.125510.879227
4039514233.833970.791.066240.933197
4136854056.233931.081.031840.908478
4243124314.843844.041.122480.999341
4338673672.613799.210.9666781.05293
4441403643.043829.710.9512581.13641
4541143801.343909.750.9722721.08225
4638184078.754021.881.014140.93607
4733773659.044150.080.8816780.922921
4834534193.014315.330.9716550.823513
4935024184.14449.380.9403790.836979
5040174250.454446.670.9558740.945076
5154104895.174349.291.125511.10517
5251844547.44264.881.066241.13999
5355294336.384202.581.031841.27503
5464344673.524163.581.122481.37669
5549623998.794136.620.9666781.24088
5629803887.394086.580.9512580.76658
5729373870.743981.120.9722720.758771
5829693883.323829.171.014140.764552
5927313252.113688.540.8816780.839764
6031633405.733505.080.9716550.928729
6131453100.393296.960.9403791.01439
6231733107.353250.790.9558741.02113
6337233763.843344.131.125510.989149
6432243678.93450.331.066240.876349
6541143653.693540.961.031841.12599
6634464080.013634.831.122480.844605
6729553606.483730.790.9666780.81936
6838793620.4938060.9512581.0714
6942783794.093902.290.9722721.12754
7041774104.074046.831.014141.01777
7136983623.624109.920.8816781.02053
7244493977.914093.960.9716551.11843
7341623883.724129.960.9403791.07165
7439613956.764139.420.9558741.00107
7552464598.644085.831.125511.14077
7651704313.094045.121.066241.19868
7736824152.414024.291.031840.886714
7834954441.593956.961.122480.78688
793770NANA0.966678NA
803291NANA0.951258NA
813580NANA0.972272NA
823898NANA1.01414NA
833477NANA0.881678NA
843054NANA0.971655NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5731 & NA & NA & 0.940379 & NA \tabularnewline
2 & 5040 & NA & NA & 0.955874 & NA \tabularnewline
3 & 6102 & NA & NA & 1.12551 & NA \tabularnewline
4 & 4904 & NA & NA & 1.06624 & NA \tabularnewline
5 & 5369 & NA & NA & 1.03184 & NA \tabularnewline
6 & 5578 & NA & NA & 1.12248 & NA \tabularnewline
7 & 4619 & 4880.56 & 5048.79 & 0.966678 & 0.946408 \tabularnewline
8 & 4731 & 4730.72 & 4973.12 & 0.951258 & 1.00006 \tabularnewline
9 & 5011 & 4762.02 & 4897.83 & 0.972272 & 1.05228 \tabularnewline
10 & 5227 & 4895.9 & 4827.62 & 1.01414 & 1.06763 \tabularnewline
11 & 4146 & 4184.88 & 4746.5 & 0.881678 & 0.990708 \tabularnewline
12 & 4625 & 4542.2 & 4674.71 & 0.971655 & 1.01823 \tabularnewline
13 & 4736 & 4364.89 & 4641.62 & 0.940379 & 1.08502 \tabularnewline
14 & 4219 & 4418.01 & 4621.96 & 0.955874 & 0.954955 \tabularnewline
15 & 5116 & 5138.51 & 4565.5 & 1.12551 & 0.995619 \tabularnewline
16 & 4205 & 4833.64 & 4533.33 & 1.06624 & 0.869944 \tabularnewline
17 & 4121 & 4700.57 & 4555.54 & 1.03184 & 0.876702 \tabularnewline
18 & 5103 & 5081.12 & 4526.71 & 1.12248 & 1.00431 \tabularnewline
19 & 4300 & 4343.85 & 4493.58 & 0.966678 & 0.989905 \tabularnewline
20 & 4578 & 4299.17 & 4519.46 & 0.951258 & 1.06486 \tabularnewline
21 & 3809 & 4390.82 & 4516.04 & 0.972272 & 0.867492 \tabularnewline
22 & 5657 & 4565.67 & 4502 & 1.01414 & 1.23903 \tabularnewline
23 & 4249 & 3982.21 & 4516.62 & 0.881678 & 1.067 \tabularnewline
24 & 3830 & 4375.77 & 4503.42 & 0.971655 & 0.875275 \tabularnewline
25 & 4736 & 4209.61 & 4476.5 & 0.940379 & 1.12505 \tabularnewline
26 & 4840 & 4235.44 & 4430.96 & 0.955874 & 1.14274 \tabularnewline
27 & 4413 & 4982.16 & 4426.58 & 1.12551 & 0.885761 \tabularnewline
28 & 4571 & 4676.02 & 4385.5 & 1.06624 & 0.977542 \tabularnewline
29 & 4106 & 4449.54 & 4312.25 & 1.03184 & 0.922793 \tabularnewline
30 & 4801 & 4879.68 & 4347.25 & 1.12248 & 0.983875 \tabularnewline
31 & 3956 & 4180.84 & 4324.96 & 0.966678 & 0.946221 \tabularnewline
32 & 3829 & 4003.61 & 4208.75 & 0.951258 & 0.956388 \tabularnewline
33 & 4453 & 4021.28 & 4135.96 & 0.972272 & 1.10736 \tabularnewline
34 & 4027 & 4148.77 & 4090.92 & 1.01414 & 0.970649 \tabularnewline
35 & 4121 & 3568.63 & 4047.54 & 0.881678 & 1.15479 \tabularnewline
36 & 4798 & 3895.97 & 4009.62 & 0.971655 & 1.23153 \tabularnewline
37 & 3233 & 3747.92 & 3985.54 & 0.940379 & 0.862612 \tabularnewline
38 & 3554 & 3818.52 & 3994.79 & 0.955874 & 0.930728 \tabularnewline
39 & 3952 & 4494.86 & 3993.62 & 1.12551 & 0.879227 \tabularnewline
40 & 3951 & 4233.83 & 3970.79 & 1.06624 & 0.933197 \tabularnewline
41 & 3685 & 4056.23 & 3931.08 & 1.03184 & 0.908478 \tabularnewline
42 & 4312 & 4314.84 & 3844.04 & 1.12248 & 0.999341 \tabularnewline
43 & 3867 & 3672.61 & 3799.21 & 0.966678 & 1.05293 \tabularnewline
44 & 4140 & 3643.04 & 3829.71 & 0.951258 & 1.13641 \tabularnewline
45 & 4114 & 3801.34 & 3909.75 & 0.972272 & 1.08225 \tabularnewline
46 & 3818 & 4078.75 & 4021.88 & 1.01414 & 0.93607 \tabularnewline
47 & 3377 & 3659.04 & 4150.08 & 0.881678 & 0.922921 \tabularnewline
48 & 3453 & 4193.01 & 4315.33 & 0.971655 & 0.823513 \tabularnewline
49 & 3502 & 4184.1 & 4449.38 & 0.940379 & 0.836979 \tabularnewline
50 & 4017 & 4250.45 & 4446.67 & 0.955874 & 0.945076 \tabularnewline
51 & 5410 & 4895.17 & 4349.29 & 1.12551 & 1.10517 \tabularnewline
52 & 5184 & 4547.4 & 4264.88 & 1.06624 & 1.13999 \tabularnewline
53 & 5529 & 4336.38 & 4202.58 & 1.03184 & 1.27503 \tabularnewline
54 & 6434 & 4673.52 & 4163.58 & 1.12248 & 1.37669 \tabularnewline
55 & 4962 & 3998.79 & 4136.62 & 0.966678 & 1.24088 \tabularnewline
56 & 2980 & 3887.39 & 4086.58 & 0.951258 & 0.76658 \tabularnewline
57 & 2937 & 3870.74 & 3981.12 & 0.972272 & 0.758771 \tabularnewline
58 & 2969 & 3883.32 & 3829.17 & 1.01414 & 0.764552 \tabularnewline
59 & 2731 & 3252.11 & 3688.54 & 0.881678 & 0.839764 \tabularnewline
60 & 3163 & 3405.73 & 3505.08 & 0.971655 & 0.928729 \tabularnewline
61 & 3145 & 3100.39 & 3296.96 & 0.940379 & 1.01439 \tabularnewline
62 & 3173 & 3107.35 & 3250.79 & 0.955874 & 1.02113 \tabularnewline
63 & 3723 & 3763.84 & 3344.13 & 1.12551 & 0.989149 \tabularnewline
64 & 3224 & 3678.9 & 3450.33 & 1.06624 & 0.876349 \tabularnewline
65 & 4114 & 3653.69 & 3540.96 & 1.03184 & 1.12599 \tabularnewline
66 & 3446 & 4080.01 & 3634.83 & 1.12248 & 0.844605 \tabularnewline
67 & 2955 & 3606.48 & 3730.79 & 0.966678 & 0.81936 \tabularnewline
68 & 3879 & 3620.49 & 3806 & 0.951258 & 1.0714 \tabularnewline
69 & 4278 & 3794.09 & 3902.29 & 0.972272 & 1.12754 \tabularnewline
70 & 4177 & 4104.07 & 4046.83 & 1.01414 & 1.01777 \tabularnewline
71 & 3698 & 3623.62 & 4109.92 & 0.881678 & 1.02053 \tabularnewline
72 & 4449 & 3977.91 & 4093.96 & 0.971655 & 1.11843 \tabularnewline
73 & 4162 & 3883.72 & 4129.96 & 0.940379 & 1.07165 \tabularnewline
74 & 3961 & 3956.76 & 4139.42 & 0.955874 & 1.00107 \tabularnewline
75 & 5246 & 4598.64 & 4085.83 & 1.12551 & 1.14077 \tabularnewline
76 & 5170 & 4313.09 & 4045.12 & 1.06624 & 1.19868 \tabularnewline
77 & 3682 & 4152.41 & 4024.29 & 1.03184 & 0.886714 \tabularnewline
78 & 3495 & 4441.59 & 3956.96 & 1.12248 & 0.78688 \tabularnewline
79 & 3770 & NA & NA & 0.966678 & NA \tabularnewline
80 & 3291 & NA & NA & 0.951258 & NA \tabularnewline
81 & 3580 & NA & NA & 0.972272 & NA \tabularnewline
82 & 3898 & NA & NA & 1.01414 & NA \tabularnewline
83 & 3477 & NA & NA & 0.881678 & NA \tabularnewline
84 & 3054 & NA & NA & 0.971655 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232034&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]5731[/C][C]NA[/C][C]NA[/C][C]0.940379[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5040[/C][C]NA[/C][C]NA[/C][C]0.955874[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6102[/C][C]NA[/C][C]NA[/C][C]1.12551[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4904[/C][C]NA[/C][C]NA[/C][C]1.06624[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5369[/C][C]NA[/C][C]NA[/C][C]1.03184[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5578[/C][C]NA[/C][C]NA[/C][C]1.12248[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4619[/C][C]4880.56[/C][C]5048.79[/C][C]0.966678[/C][C]0.946408[/C][/ROW]
[ROW][C]8[/C][C]4731[/C][C]4730.72[/C][C]4973.12[/C][C]0.951258[/C][C]1.00006[/C][/ROW]
[ROW][C]9[/C][C]5011[/C][C]4762.02[/C][C]4897.83[/C][C]0.972272[/C][C]1.05228[/C][/ROW]
[ROW][C]10[/C][C]5227[/C][C]4895.9[/C][C]4827.62[/C][C]1.01414[/C][C]1.06763[/C][/ROW]
[ROW][C]11[/C][C]4146[/C][C]4184.88[/C][C]4746.5[/C][C]0.881678[/C][C]0.990708[/C][/ROW]
[ROW][C]12[/C][C]4625[/C][C]4542.2[/C][C]4674.71[/C][C]0.971655[/C][C]1.01823[/C][/ROW]
[ROW][C]13[/C][C]4736[/C][C]4364.89[/C][C]4641.62[/C][C]0.940379[/C][C]1.08502[/C][/ROW]
[ROW][C]14[/C][C]4219[/C][C]4418.01[/C][C]4621.96[/C][C]0.955874[/C][C]0.954955[/C][/ROW]
[ROW][C]15[/C][C]5116[/C][C]5138.51[/C][C]4565.5[/C][C]1.12551[/C][C]0.995619[/C][/ROW]
[ROW][C]16[/C][C]4205[/C][C]4833.64[/C][C]4533.33[/C][C]1.06624[/C][C]0.869944[/C][/ROW]
[ROW][C]17[/C][C]4121[/C][C]4700.57[/C][C]4555.54[/C][C]1.03184[/C][C]0.876702[/C][/ROW]
[ROW][C]18[/C][C]5103[/C][C]5081.12[/C][C]4526.71[/C][C]1.12248[/C][C]1.00431[/C][/ROW]
[ROW][C]19[/C][C]4300[/C][C]4343.85[/C][C]4493.58[/C][C]0.966678[/C][C]0.989905[/C][/ROW]
[ROW][C]20[/C][C]4578[/C][C]4299.17[/C][C]4519.46[/C][C]0.951258[/C][C]1.06486[/C][/ROW]
[ROW][C]21[/C][C]3809[/C][C]4390.82[/C][C]4516.04[/C][C]0.972272[/C][C]0.867492[/C][/ROW]
[ROW][C]22[/C][C]5657[/C][C]4565.67[/C][C]4502[/C][C]1.01414[/C][C]1.23903[/C][/ROW]
[ROW][C]23[/C][C]4249[/C][C]3982.21[/C][C]4516.62[/C][C]0.881678[/C][C]1.067[/C][/ROW]
[ROW][C]24[/C][C]3830[/C][C]4375.77[/C][C]4503.42[/C][C]0.971655[/C][C]0.875275[/C][/ROW]
[ROW][C]25[/C][C]4736[/C][C]4209.61[/C][C]4476.5[/C][C]0.940379[/C][C]1.12505[/C][/ROW]
[ROW][C]26[/C][C]4840[/C][C]4235.44[/C][C]4430.96[/C][C]0.955874[/C][C]1.14274[/C][/ROW]
[ROW][C]27[/C][C]4413[/C][C]4982.16[/C][C]4426.58[/C][C]1.12551[/C][C]0.885761[/C][/ROW]
[ROW][C]28[/C][C]4571[/C][C]4676.02[/C][C]4385.5[/C][C]1.06624[/C][C]0.977542[/C][/ROW]
[ROW][C]29[/C][C]4106[/C][C]4449.54[/C][C]4312.25[/C][C]1.03184[/C][C]0.922793[/C][/ROW]
[ROW][C]30[/C][C]4801[/C][C]4879.68[/C][C]4347.25[/C][C]1.12248[/C][C]0.983875[/C][/ROW]
[ROW][C]31[/C][C]3956[/C][C]4180.84[/C][C]4324.96[/C][C]0.966678[/C][C]0.946221[/C][/ROW]
[ROW][C]32[/C][C]3829[/C][C]4003.61[/C][C]4208.75[/C][C]0.951258[/C][C]0.956388[/C][/ROW]
[ROW][C]33[/C][C]4453[/C][C]4021.28[/C][C]4135.96[/C][C]0.972272[/C][C]1.10736[/C][/ROW]
[ROW][C]34[/C][C]4027[/C][C]4148.77[/C][C]4090.92[/C][C]1.01414[/C][C]0.970649[/C][/ROW]
[ROW][C]35[/C][C]4121[/C][C]3568.63[/C][C]4047.54[/C][C]0.881678[/C][C]1.15479[/C][/ROW]
[ROW][C]36[/C][C]4798[/C][C]3895.97[/C][C]4009.62[/C][C]0.971655[/C][C]1.23153[/C][/ROW]
[ROW][C]37[/C][C]3233[/C][C]3747.92[/C][C]3985.54[/C][C]0.940379[/C][C]0.862612[/C][/ROW]
[ROW][C]38[/C][C]3554[/C][C]3818.52[/C][C]3994.79[/C][C]0.955874[/C][C]0.930728[/C][/ROW]
[ROW][C]39[/C][C]3952[/C][C]4494.86[/C][C]3993.62[/C][C]1.12551[/C][C]0.879227[/C][/ROW]
[ROW][C]40[/C][C]3951[/C][C]4233.83[/C][C]3970.79[/C][C]1.06624[/C][C]0.933197[/C][/ROW]
[ROW][C]41[/C][C]3685[/C][C]4056.23[/C][C]3931.08[/C][C]1.03184[/C][C]0.908478[/C][/ROW]
[ROW][C]42[/C][C]4312[/C][C]4314.84[/C][C]3844.04[/C][C]1.12248[/C][C]0.999341[/C][/ROW]
[ROW][C]43[/C][C]3867[/C][C]3672.61[/C][C]3799.21[/C][C]0.966678[/C][C]1.05293[/C][/ROW]
[ROW][C]44[/C][C]4140[/C][C]3643.04[/C][C]3829.71[/C][C]0.951258[/C][C]1.13641[/C][/ROW]
[ROW][C]45[/C][C]4114[/C][C]3801.34[/C][C]3909.75[/C][C]0.972272[/C][C]1.08225[/C][/ROW]
[ROW][C]46[/C][C]3818[/C][C]4078.75[/C][C]4021.88[/C][C]1.01414[/C][C]0.93607[/C][/ROW]
[ROW][C]47[/C][C]3377[/C][C]3659.04[/C][C]4150.08[/C][C]0.881678[/C][C]0.922921[/C][/ROW]
[ROW][C]48[/C][C]3453[/C][C]4193.01[/C][C]4315.33[/C][C]0.971655[/C][C]0.823513[/C][/ROW]
[ROW][C]49[/C][C]3502[/C][C]4184.1[/C][C]4449.38[/C][C]0.940379[/C][C]0.836979[/C][/ROW]
[ROW][C]50[/C][C]4017[/C][C]4250.45[/C][C]4446.67[/C][C]0.955874[/C][C]0.945076[/C][/ROW]
[ROW][C]51[/C][C]5410[/C][C]4895.17[/C][C]4349.29[/C][C]1.12551[/C][C]1.10517[/C][/ROW]
[ROW][C]52[/C][C]5184[/C][C]4547.4[/C][C]4264.88[/C][C]1.06624[/C][C]1.13999[/C][/ROW]
[ROW][C]53[/C][C]5529[/C][C]4336.38[/C][C]4202.58[/C][C]1.03184[/C][C]1.27503[/C][/ROW]
[ROW][C]54[/C][C]6434[/C][C]4673.52[/C][C]4163.58[/C][C]1.12248[/C][C]1.37669[/C][/ROW]
[ROW][C]55[/C][C]4962[/C][C]3998.79[/C][C]4136.62[/C][C]0.966678[/C][C]1.24088[/C][/ROW]
[ROW][C]56[/C][C]2980[/C][C]3887.39[/C][C]4086.58[/C][C]0.951258[/C][C]0.76658[/C][/ROW]
[ROW][C]57[/C][C]2937[/C][C]3870.74[/C][C]3981.12[/C][C]0.972272[/C][C]0.758771[/C][/ROW]
[ROW][C]58[/C][C]2969[/C][C]3883.32[/C][C]3829.17[/C][C]1.01414[/C][C]0.764552[/C][/ROW]
[ROW][C]59[/C][C]2731[/C][C]3252.11[/C][C]3688.54[/C][C]0.881678[/C][C]0.839764[/C][/ROW]
[ROW][C]60[/C][C]3163[/C][C]3405.73[/C][C]3505.08[/C][C]0.971655[/C][C]0.928729[/C][/ROW]
[ROW][C]61[/C][C]3145[/C][C]3100.39[/C][C]3296.96[/C][C]0.940379[/C][C]1.01439[/C][/ROW]
[ROW][C]62[/C][C]3173[/C][C]3107.35[/C][C]3250.79[/C][C]0.955874[/C][C]1.02113[/C][/ROW]
[ROW][C]63[/C][C]3723[/C][C]3763.84[/C][C]3344.13[/C][C]1.12551[/C][C]0.989149[/C][/ROW]
[ROW][C]64[/C][C]3224[/C][C]3678.9[/C][C]3450.33[/C][C]1.06624[/C][C]0.876349[/C][/ROW]
[ROW][C]65[/C][C]4114[/C][C]3653.69[/C][C]3540.96[/C][C]1.03184[/C][C]1.12599[/C][/ROW]
[ROW][C]66[/C][C]3446[/C][C]4080.01[/C][C]3634.83[/C][C]1.12248[/C][C]0.844605[/C][/ROW]
[ROW][C]67[/C][C]2955[/C][C]3606.48[/C][C]3730.79[/C][C]0.966678[/C][C]0.81936[/C][/ROW]
[ROW][C]68[/C][C]3879[/C][C]3620.49[/C][C]3806[/C][C]0.951258[/C][C]1.0714[/C][/ROW]
[ROW][C]69[/C][C]4278[/C][C]3794.09[/C][C]3902.29[/C][C]0.972272[/C][C]1.12754[/C][/ROW]
[ROW][C]70[/C][C]4177[/C][C]4104.07[/C][C]4046.83[/C][C]1.01414[/C][C]1.01777[/C][/ROW]
[ROW][C]71[/C][C]3698[/C][C]3623.62[/C][C]4109.92[/C][C]0.881678[/C][C]1.02053[/C][/ROW]
[ROW][C]72[/C][C]4449[/C][C]3977.91[/C][C]4093.96[/C][C]0.971655[/C][C]1.11843[/C][/ROW]
[ROW][C]73[/C][C]4162[/C][C]3883.72[/C][C]4129.96[/C][C]0.940379[/C][C]1.07165[/C][/ROW]
[ROW][C]74[/C][C]3961[/C][C]3956.76[/C][C]4139.42[/C][C]0.955874[/C][C]1.00107[/C][/ROW]
[ROW][C]75[/C][C]5246[/C][C]4598.64[/C][C]4085.83[/C][C]1.12551[/C][C]1.14077[/C][/ROW]
[ROW][C]76[/C][C]5170[/C][C]4313.09[/C][C]4045.12[/C][C]1.06624[/C][C]1.19868[/C][/ROW]
[ROW][C]77[/C][C]3682[/C][C]4152.41[/C][C]4024.29[/C][C]1.03184[/C][C]0.886714[/C][/ROW]
[ROW][C]78[/C][C]3495[/C][C]4441.59[/C][C]3956.96[/C][C]1.12248[/C][C]0.78688[/C][/ROW]
[ROW][C]79[/C][C]3770[/C][C]NA[/C][C]NA[/C][C]0.966678[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]3291[/C][C]NA[/C][C]NA[/C][C]0.951258[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]3580[/C][C]NA[/C][C]NA[/C][C]0.972272[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]3898[/C][C]NA[/C][C]NA[/C][C]1.01414[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]3477[/C][C]NA[/C][C]NA[/C][C]0.881678[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]3054[/C][C]NA[/C][C]NA[/C][C]0.971655[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232034&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232034&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
15731NANA0.940379NA
25040NANA0.955874NA
36102NANA1.12551NA
44904NANA1.06624NA
55369NANA1.03184NA
65578NANA1.12248NA
746194880.565048.790.9666780.946408
847314730.724973.120.9512581.00006
950114762.024897.830.9722721.05228
1052274895.94827.621.014141.06763
1141464184.884746.50.8816780.990708
1246254542.24674.710.9716551.01823
1347364364.894641.620.9403791.08502
1442194418.014621.960.9558740.954955
1551165138.514565.51.125510.995619
1642054833.644533.331.066240.869944
1741214700.574555.541.031840.876702
1851035081.124526.711.122481.00431
1943004343.854493.580.9666780.989905
2045784299.174519.460.9512581.06486
2138094390.824516.040.9722720.867492
2256574565.6745021.014141.23903
2342493982.214516.620.8816781.067
2438304375.774503.420.9716550.875275
2547364209.614476.50.9403791.12505
2648404235.444430.960.9558741.14274
2744134982.164426.581.125510.885761
2845714676.024385.51.066240.977542
2941064449.544312.251.031840.922793
3048014879.684347.251.122480.983875
3139564180.844324.960.9666780.946221
3238294003.614208.750.9512580.956388
3344534021.284135.960.9722721.10736
3440274148.774090.921.014140.970649
3541213568.634047.540.8816781.15479
3647983895.974009.620.9716551.23153
3732333747.923985.540.9403790.862612
3835543818.523994.790.9558740.930728
3939524494.863993.621.125510.879227
4039514233.833970.791.066240.933197
4136854056.233931.081.031840.908478
4243124314.843844.041.122480.999341
4338673672.613799.210.9666781.05293
4441403643.043829.710.9512581.13641
4541143801.343909.750.9722721.08225
4638184078.754021.881.014140.93607
4733773659.044150.080.8816780.922921
4834534193.014315.330.9716550.823513
4935024184.14449.380.9403790.836979
5040174250.454446.670.9558740.945076
5154104895.174349.291.125511.10517
5251844547.44264.881.066241.13999
5355294336.384202.581.031841.27503
5464344673.524163.581.122481.37669
5549623998.794136.620.9666781.24088
5629803887.394086.580.9512580.76658
5729373870.743981.120.9722720.758771
5829693883.323829.171.014140.764552
5927313252.113688.540.8816780.839764
6031633405.733505.080.9716550.928729
6131453100.393296.960.9403791.01439
6231733107.353250.790.9558741.02113
6337233763.843344.131.125510.989149
6432243678.93450.331.066240.876349
6541143653.693540.961.031841.12599
6634464080.013634.831.122480.844605
6729553606.483730.790.9666780.81936
6838793620.4938060.9512581.0714
6942783794.093902.290.9722721.12754
7041774104.074046.831.014141.01777
7136983623.624109.920.8816781.02053
7244493977.914093.960.9716551.11843
7341623883.724129.960.9403791.07165
7439613956.764139.420.9558741.00107
7552464598.644085.831.125511.14077
7651704313.094045.121.066241.19868
7736824152.414024.291.031840.886714
7834954441.593956.961.122480.78688
793770NANA0.966678NA
803291NANA0.951258NA
813580NANA0.972272NA
823898NANA1.01414NA
833477NANA0.881678NA
843054NANA0.971655NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')