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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 08 Aug 2015 22:27:13 +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/2015/Aug/08/t143906934063sytfxhy680wtr.htm/, Retrieved Sun, 19 May 2024 13:09:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279951, Retrieved Sun, 19 May 2024 13:09:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-08-08 21:27:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
19064,00
18993,00
18921,00
18772,00
20246,00
20168,00
19064,00
18330,00
18401,00
18401,00
18480,00
18622,00
18843,00
18843,00
18701,00
18330,00
20246,00
20538,00
20097,00
19064,00
19506,00
18843,00
19142,00
19285,00
19434,00
19064,00
19142,00
18622,00
20246,00
20759,00
20318,00
19506,00
20389,00
19434,00
20318,00
20246,00
20467,00
19655,00
20538,00
20467,00
21792,00
21493,00
20318,00
19726,00
20538,00
19434,00
20246,00
20389,00
20688,00
20026,00
20389,00
20610,00
21422,00
20759,00
19876,00
18921,00
19805,00
17375,00
18551,00
19213,00
19876,00
18921,00
18921,00
18921,00
19434,00
18701,00
17739,00
16934,00
17518,00
15238,00
16635,00
17447,00
17596,00
16784,00
16855,00
16635,00
17375,00
16855,00
15830,00
15089,00
16342,00
13621,00
15388,00
16193,00
16193,00
15238,00
14355,00
14284,00
15089,00
14355,00
12959,00
11997,00
13030,00
10601,00
12809,00
13984,00
14355,00
13543,00
12517,00
13251,00
13543,00
13322,00
11113,00
10088,00
10821,00
8613,00
10893,00
11705,00
12367,00
11263,00
10230,00
10821,00
11113,00
10529,00
8321,00
7359,00
8242,00
5813,00
8463,00
10088,00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279951&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279951&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279951&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 time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
119064NANA1.04689NA
218993NANA1.00798NA
318921NANA0.995612NA
418772NANA1.01031NA
520246NANA1.07083NA
620168NANA1.0547NA
71906418726.9189460.9884351.018
81833017830.918930.50.9419151.02799
91840118764.118915.10.9920160.980651
101840116864.318887.50.8928821.09112
111848018465.118869.10.9785891.00081
121862219259.218884.51.019840.966915
131884319831.1189431.046890.950173
141884319168.419016.61.007980.983026
151870119009.419093.20.9956120.983775
161833019355.119157.71.010310.947037
172024620563.919203.71.070830.984543
182053820312.419258.91.05471.01111
192009719087.819311.10.9884351.05287
201906418221.3193450.9419151.04625
211950619217.919372.50.9920161.01499
221884317324.719403.10.8928821.08764
231914218999.619415.20.9785891.0075
241928519809.919424.51.019840.973505
251943420354.519442.91.046890.954777
261906419625.919470.51.007980.971369
27191421944019525.70.9956120.984669
28186221978919587.11.010310.941028
292024621053.319660.71.070830.961653
302075920830.219749.81.05470.996582
312031819603.519832.90.9884351.03645
321950618744.619900.50.9419151.04062
332038919823.819983.30.9920161.02851
341943417963.320118.40.8928821.08187
352031819825.920259.70.9785891.02482
362024620758.520354.71.019840.97531
37204672134120385.21.046890.959044
381965520557.220394.41.007980.956113
392053820320.220409.80.9956121.01072
402046720626.4204161.010310.992272
412179221858.9204131.070830.996942
422149321532.8204161.05470.998151
432031820194.820431.10.9884351.0061
441972619267.620455.80.9419151.02379
452053820301.6204650.9920161.01164
461943418272.720464.80.8928821.06356
472024620017.420455.30.9785891.01142
482038920814.320409.31.019840.979568
49206882131520360.31.046890.970586
502002620470.520308.41.007980.978288
512038920155.520244.30.9956121.01159
522061020335.4201281.010311.0135
532142221386.119971.51.070831.00168
542075920937.919851.91.05470.991455
551987619540.519769.10.9884351.01717
561892118545.619689.20.9419151.02024
571980519425.7195820.9920161.01953
58173751736719450.50.8928821.00046
591855118884.119297.20.9785890.982362
601921319508.219128.71.019840.984868
611987619842.618953.91.046891.00169
621892118931.9187821.007980.999422
631892118522.3186040.9956121.02152
641892118609.518419.61.010311.01674
651943419543.518250.81.070830.9944
661870119087.318097.31.05470.979759
671773917721.417928.80.9884351.00099
68169341671417744.70.9419151.01316
691751817429.317569.60.9920161.00509
701523815525.717388.20.8928820.981472
711663516838.817207.20.9785890.987898
721744717382.717044.51.019841.0037
731759617679.9168881.046890.995256
741678416865.216731.61.007980.995187
751685516532.916605.80.9956121.01948
761663516659.316489.41.010310.99854
771737517529.5163701.070830.991184
781685517155.616265.81.05470.982475
791583015968.316155.10.9884350.991339
80150891510116032.20.9419150.999205
81163421573715863.70.9920161.03844
821362113983.915661.50.8928820.974048
831538815137.115468.30.9785891.01657
841619315571.915268.91.019841.03989
851619315750.515045.11.046891.02809
861523814914.814796.71.007981.02167
871435514466.114529.80.9956120.992321
881428414413142661.010310.991048
891508915026.614032.71.070831.00415
901435514589.913833.21.05470.983897
911295913506.613664.60.9884350.95946
921199712732.213517.40.9419150.942256
931303013263.413370.20.9920160.982401
941060111831.213250.50.8928820.896023
951280912861.713143.10.9785890.995904
961398413294.313035.61.019841.05188
971435513521.212915.71.046891.06166
98135431286112759.21.007981.05303
991251712532.412587.60.9956120.998772
1001325112540.712412.81.010311.05664
1011354313117.812250.11.070831.03242
1021332212735.912075.31.05471.04602
1031111311759.911897.50.9884350.94499
1041008811038.911719.70.9419150.913857
1051082111437.311529.40.9920160.946113
106861310118.911332.80.8928820.851181
107108931089211130.30.9785891.00009
1081170511129.210912.71.019841.05174
1091236711180.8106801.046891.1061
1101126310533.4104501.007981.06927
1111023010183.910228.80.9956121.00453
1121082110107.810004.71.010311.07056
1131111310479.99786.751.070831.06041
1141052910144.39618.121.05471.03792
1158321NANA0.988435NA
1167359NANA0.941915NA
1178242NANA0.992016NA
1185813NANA0.892882NA
1198463NANA0.978589NA
12010088NANA1.01984NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 19064 & NA & NA & 1.04689 & NA \tabularnewline
2 & 18993 & NA & NA & 1.00798 & NA \tabularnewline
3 & 18921 & NA & NA & 0.995612 & NA \tabularnewline
4 & 18772 & NA & NA & 1.01031 & NA \tabularnewline
5 & 20246 & NA & NA & 1.07083 & NA \tabularnewline
6 & 20168 & NA & NA & 1.0547 & NA \tabularnewline
7 & 19064 & 18726.9 & 18946 & 0.988435 & 1.018 \tabularnewline
8 & 18330 & 17830.9 & 18930.5 & 0.941915 & 1.02799 \tabularnewline
9 & 18401 & 18764.1 & 18915.1 & 0.992016 & 0.980651 \tabularnewline
10 & 18401 & 16864.3 & 18887.5 & 0.892882 & 1.09112 \tabularnewline
11 & 18480 & 18465.1 & 18869.1 & 0.978589 & 1.00081 \tabularnewline
12 & 18622 & 19259.2 & 18884.5 & 1.01984 & 0.966915 \tabularnewline
13 & 18843 & 19831.1 & 18943 & 1.04689 & 0.950173 \tabularnewline
14 & 18843 & 19168.4 & 19016.6 & 1.00798 & 0.983026 \tabularnewline
15 & 18701 & 19009.4 & 19093.2 & 0.995612 & 0.983775 \tabularnewline
16 & 18330 & 19355.1 & 19157.7 & 1.01031 & 0.947037 \tabularnewline
17 & 20246 & 20563.9 & 19203.7 & 1.07083 & 0.984543 \tabularnewline
18 & 20538 & 20312.4 & 19258.9 & 1.0547 & 1.01111 \tabularnewline
19 & 20097 & 19087.8 & 19311.1 & 0.988435 & 1.05287 \tabularnewline
20 & 19064 & 18221.3 & 19345 & 0.941915 & 1.04625 \tabularnewline
21 & 19506 & 19217.9 & 19372.5 & 0.992016 & 1.01499 \tabularnewline
22 & 18843 & 17324.7 & 19403.1 & 0.892882 & 1.08764 \tabularnewline
23 & 19142 & 18999.6 & 19415.2 & 0.978589 & 1.0075 \tabularnewline
24 & 19285 & 19809.9 & 19424.5 & 1.01984 & 0.973505 \tabularnewline
25 & 19434 & 20354.5 & 19442.9 & 1.04689 & 0.954777 \tabularnewline
26 & 19064 & 19625.9 & 19470.5 & 1.00798 & 0.971369 \tabularnewline
27 & 19142 & 19440 & 19525.7 & 0.995612 & 0.984669 \tabularnewline
28 & 18622 & 19789 & 19587.1 & 1.01031 & 0.941028 \tabularnewline
29 & 20246 & 21053.3 & 19660.7 & 1.07083 & 0.961653 \tabularnewline
30 & 20759 & 20830.2 & 19749.8 & 1.0547 & 0.996582 \tabularnewline
31 & 20318 & 19603.5 & 19832.9 & 0.988435 & 1.03645 \tabularnewline
32 & 19506 & 18744.6 & 19900.5 & 0.941915 & 1.04062 \tabularnewline
33 & 20389 & 19823.8 & 19983.3 & 0.992016 & 1.02851 \tabularnewline
34 & 19434 & 17963.3 & 20118.4 & 0.892882 & 1.08187 \tabularnewline
35 & 20318 & 19825.9 & 20259.7 & 0.978589 & 1.02482 \tabularnewline
36 & 20246 & 20758.5 & 20354.7 & 1.01984 & 0.97531 \tabularnewline
37 & 20467 & 21341 & 20385.2 & 1.04689 & 0.959044 \tabularnewline
38 & 19655 & 20557.2 & 20394.4 & 1.00798 & 0.956113 \tabularnewline
39 & 20538 & 20320.2 & 20409.8 & 0.995612 & 1.01072 \tabularnewline
40 & 20467 & 20626.4 & 20416 & 1.01031 & 0.992272 \tabularnewline
41 & 21792 & 21858.9 & 20413 & 1.07083 & 0.996942 \tabularnewline
42 & 21493 & 21532.8 & 20416 & 1.0547 & 0.998151 \tabularnewline
43 & 20318 & 20194.8 & 20431.1 & 0.988435 & 1.0061 \tabularnewline
44 & 19726 & 19267.6 & 20455.8 & 0.941915 & 1.02379 \tabularnewline
45 & 20538 & 20301.6 & 20465 & 0.992016 & 1.01164 \tabularnewline
46 & 19434 & 18272.7 & 20464.8 & 0.892882 & 1.06356 \tabularnewline
47 & 20246 & 20017.4 & 20455.3 & 0.978589 & 1.01142 \tabularnewline
48 & 20389 & 20814.3 & 20409.3 & 1.01984 & 0.979568 \tabularnewline
49 & 20688 & 21315 & 20360.3 & 1.04689 & 0.970586 \tabularnewline
50 & 20026 & 20470.5 & 20308.4 & 1.00798 & 0.978288 \tabularnewline
51 & 20389 & 20155.5 & 20244.3 & 0.995612 & 1.01159 \tabularnewline
52 & 20610 & 20335.4 & 20128 & 1.01031 & 1.0135 \tabularnewline
53 & 21422 & 21386.1 & 19971.5 & 1.07083 & 1.00168 \tabularnewline
54 & 20759 & 20937.9 & 19851.9 & 1.0547 & 0.991455 \tabularnewline
55 & 19876 & 19540.5 & 19769.1 & 0.988435 & 1.01717 \tabularnewline
56 & 18921 & 18545.6 & 19689.2 & 0.941915 & 1.02024 \tabularnewline
57 & 19805 & 19425.7 & 19582 & 0.992016 & 1.01953 \tabularnewline
58 & 17375 & 17367 & 19450.5 & 0.892882 & 1.00046 \tabularnewline
59 & 18551 & 18884.1 & 19297.2 & 0.978589 & 0.982362 \tabularnewline
60 & 19213 & 19508.2 & 19128.7 & 1.01984 & 0.984868 \tabularnewline
61 & 19876 & 19842.6 & 18953.9 & 1.04689 & 1.00169 \tabularnewline
62 & 18921 & 18931.9 & 18782 & 1.00798 & 0.999422 \tabularnewline
63 & 18921 & 18522.3 & 18604 & 0.995612 & 1.02152 \tabularnewline
64 & 18921 & 18609.5 & 18419.6 & 1.01031 & 1.01674 \tabularnewline
65 & 19434 & 19543.5 & 18250.8 & 1.07083 & 0.9944 \tabularnewline
66 & 18701 & 19087.3 & 18097.3 & 1.0547 & 0.979759 \tabularnewline
67 & 17739 & 17721.4 & 17928.8 & 0.988435 & 1.00099 \tabularnewline
68 & 16934 & 16714 & 17744.7 & 0.941915 & 1.01316 \tabularnewline
69 & 17518 & 17429.3 & 17569.6 & 0.992016 & 1.00509 \tabularnewline
70 & 15238 & 15525.7 & 17388.2 & 0.892882 & 0.981472 \tabularnewline
71 & 16635 & 16838.8 & 17207.2 & 0.978589 & 0.987898 \tabularnewline
72 & 17447 & 17382.7 & 17044.5 & 1.01984 & 1.0037 \tabularnewline
73 & 17596 & 17679.9 & 16888 & 1.04689 & 0.995256 \tabularnewline
74 & 16784 & 16865.2 & 16731.6 & 1.00798 & 0.995187 \tabularnewline
75 & 16855 & 16532.9 & 16605.8 & 0.995612 & 1.01948 \tabularnewline
76 & 16635 & 16659.3 & 16489.4 & 1.01031 & 0.99854 \tabularnewline
77 & 17375 & 17529.5 & 16370 & 1.07083 & 0.991184 \tabularnewline
78 & 16855 & 17155.6 & 16265.8 & 1.0547 & 0.982475 \tabularnewline
79 & 15830 & 15968.3 & 16155.1 & 0.988435 & 0.991339 \tabularnewline
80 & 15089 & 15101 & 16032.2 & 0.941915 & 0.999205 \tabularnewline
81 & 16342 & 15737 & 15863.7 & 0.992016 & 1.03844 \tabularnewline
82 & 13621 & 13983.9 & 15661.5 & 0.892882 & 0.974048 \tabularnewline
83 & 15388 & 15137.1 & 15468.3 & 0.978589 & 1.01657 \tabularnewline
84 & 16193 & 15571.9 & 15268.9 & 1.01984 & 1.03989 \tabularnewline
85 & 16193 & 15750.5 & 15045.1 & 1.04689 & 1.02809 \tabularnewline
86 & 15238 & 14914.8 & 14796.7 & 1.00798 & 1.02167 \tabularnewline
87 & 14355 & 14466.1 & 14529.8 & 0.995612 & 0.992321 \tabularnewline
88 & 14284 & 14413 & 14266 & 1.01031 & 0.991048 \tabularnewline
89 & 15089 & 15026.6 & 14032.7 & 1.07083 & 1.00415 \tabularnewline
90 & 14355 & 14589.9 & 13833.2 & 1.0547 & 0.983897 \tabularnewline
91 & 12959 & 13506.6 & 13664.6 & 0.988435 & 0.95946 \tabularnewline
92 & 11997 & 12732.2 & 13517.4 & 0.941915 & 0.942256 \tabularnewline
93 & 13030 & 13263.4 & 13370.2 & 0.992016 & 0.982401 \tabularnewline
94 & 10601 & 11831.2 & 13250.5 & 0.892882 & 0.896023 \tabularnewline
95 & 12809 & 12861.7 & 13143.1 & 0.978589 & 0.995904 \tabularnewline
96 & 13984 & 13294.3 & 13035.6 & 1.01984 & 1.05188 \tabularnewline
97 & 14355 & 13521.2 & 12915.7 & 1.04689 & 1.06166 \tabularnewline
98 & 13543 & 12861 & 12759.2 & 1.00798 & 1.05303 \tabularnewline
99 & 12517 & 12532.4 & 12587.6 & 0.995612 & 0.998772 \tabularnewline
100 & 13251 & 12540.7 & 12412.8 & 1.01031 & 1.05664 \tabularnewline
101 & 13543 & 13117.8 & 12250.1 & 1.07083 & 1.03242 \tabularnewline
102 & 13322 & 12735.9 & 12075.3 & 1.0547 & 1.04602 \tabularnewline
103 & 11113 & 11759.9 & 11897.5 & 0.988435 & 0.94499 \tabularnewline
104 & 10088 & 11038.9 & 11719.7 & 0.941915 & 0.913857 \tabularnewline
105 & 10821 & 11437.3 & 11529.4 & 0.992016 & 0.946113 \tabularnewline
106 & 8613 & 10118.9 & 11332.8 & 0.892882 & 0.851181 \tabularnewline
107 & 10893 & 10892 & 11130.3 & 0.978589 & 1.00009 \tabularnewline
108 & 11705 & 11129.2 & 10912.7 & 1.01984 & 1.05174 \tabularnewline
109 & 12367 & 11180.8 & 10680 & 1.04689 & 1.1061 \tabularnewline
110 & 11263 & 10533.4 & 10450 & 1.00798 & 1.06927 \tabularnewline
111 & 10230 & 10183.9 & 10228.8 & 0.995612 & 1.00453 \tabularnewline
112 & 10821 & 10107.8 & 10004.7 & 1.01031 & 1.07056 \tabularnewline
113 & 11113 & 10479.9 & 9786.75 & 1.07083 & 1.06041 \tabularnewline
114 & 10529 & 10144.3 & 9618.12 & 1.0547 & 1.03792 \tabularnewline
115 & 8321 & NA & NA & 0.988435 & NA \tabularnewline
116 & 7359 & NA & NA & 0.941915 & NA \tabularnewline
117 & 8242 & NA & NA & 0.992016 & NA \tabularnewline
118 & 5813 & NA & NA & 0.892882 & NA \tabularnewline
119 & 8463 & NA & NA & 0.978589 & NA \tabularnewline
120 & 10088 & NA & NA & 1.01984 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279951&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]19064[/C][C]NA[/C][C]NA[/C][C]1.04689[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]18993[/C][C]NA[/C][C]NA[/C][C]1.00798[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]18921[/C][C]NA[/C][C]NA[/C][C]0.995612[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]18772[/C][C]NA[/C][C]NA[/C][C]1.01031[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]20246[/C][C]NA[/C][C]NA[/C][C]1.07083[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]20168[/C][C]NA[/C][C]NA[/C][C]1.0547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]19064[/C][C]18726.9[/C][C]18946[/C][C]0.988435[/C][C]1.018[/C][/ROW]
[ROW][C]8[/C][C]18330[/C][C]17830.9[/C][C]18930.5[/C][C]0.941915[/C][C]1.02799[/C][/ROW]
[ROW][C]9[/C][C]18401[/C][C]18764.1[/C][C]18915.1[/C][C]0.992016[/C][C]0.980651[/C][/ROW]
[ROW][C]10[/C][C]18401[/C][C]16864.3[/C][C]18887.5[/C][C]0.892882[/C][C]1.09112[/C][/ROW]
[ROW][C]11[/C][C]18480[/C][C]18465.1[/C][C]18869.1[/C][C]0.978589[/C][C]1.00081[/C][/ROW]
[ROW][C]12[/C][C]18622[/C][C]19259.2[/C][C]18884.5[/C][C]1.01984[/C][C]0.966915[/C][/ROW]
[ROW][C]13[/C][C]18843[/C][C]19831.1[/C][C]18943[/C][C]1.04689[/C][C]0.950173[/C][/ROW]
[ROW][C]14[/C][C]18843[/C][C]19168.4[/C][C]19016.6[/C][C]1.00798[/C][C]0.983026[/C][/ROW]
[ROW][C]15[/C][C]18701[/C][C]19009.4[/C][C]19093.2[/C][C]0.995612[/C][C]0.983775[/C][/ROW]
[ROW][C]16[/C][C]18330[/C][C]19355.1[/C][C]19157.7[/C][C]1.01031[/C][C]0.947037[/C][/ROW]
[ROW][C]17[/C][C]20246[/C][C]20563.9[/C][C]19203.7[/C][C]1.07083[/C][C]0.984543[/C][/ROW]
[ROW][C]18[/C][C]20538[/C][C]20312.4[/C][C]19258.9[/C][C]1.0547[/C][C]1.01111[/C][/ROW]
[ROW][C]19[/C][C]20097[/C][C]19087.8[/C][C]19311.1[/C][C]0.988435[/C][C]1.05287[/C][/ROW]
[ROW][C]20[/C][C]19064[/C][C]18221.3[/C][C]19345[/C][C]0.941915[/C][C]1.04625[/C][/ROW]
[ROW][C]21[/C][C]19506[/C][C]19217.9[/C][C]19372.5[/C][C]0.992016[/C][C]1.01499[/C][/ROW]
[ROW][C]22[/C][C]18843[/C][C]17324.7[/C][C]19403.1[/C][C]0.892882[/C][C]1.08764[/C][/ROW]
[ROW][C]23[/C][C]19142[/C][C]18999.6[/C][C]19415.2[/C][C]0.978589[/C][C]1.0075[/C][/ROW]
[ROW][C]24[/C][C]19285[/C][C]19809.9[/C][C]19424.5[/C][C]1.01984[/C][C]0.973505[/C][/ROW]
[ROW][C]25[/C][C]19434[/C][C]20354.5[/C][C]19442.9[/C][C]1.04689[/C][C]0.954777[/C][/ROW]
[ROW][C]26[/C][C]19064[/C][C]19625.9[/C][C]19470.5[/C][C]1.00798[/C][C]0.971369[/C][/ROW]
[ROW][C]27[/C][C]19142[/C][C]19440[/C][C]19525.7[/C][C]0.995612[/C][C]0.984669[/C][/ROW]
[ROW][C]28[/C][C]18622[/C][C]19789[/C][C]19587.1[/C][C]1.01031[/C][C]0.941028[/C][/ROW]
[ROW][C]29[/C][C]20246[/C][C]21053.3[/C][C]19660.7[/C][C]1.07083[/C][C]0.961653[/C][/ROW]
[ROW][C]30[/C][C]20759[/C][C]20830.2[/C][C]19749.8[/C][C]1.0547[/C][C]0.996582[/C][/ROW]
[ROW][C]31[/C][C]20318[/C][C]19603.5[/C][C]19832.9[/C][C]0.988435[/C][C]1.03645[/C][/ROW]
[ROW][C]32[/C][C]19506[/C][C]18744.6[/C][C]19900.5[/C][C]0.941915[/C][C]1.04062[/C][/ROW]
[ROW][C]33[/C][C]20389[/C][C]19823.8[/C][C]19983.3[/C][C]0.992016[/C][C]1.02851[/C][/ROW]
[ROW][C]34[/C][C]19434[/C][C]17963.3[/C][C]20118.4[/C][C]0.892882[/C][C]1.08187[/C][/ROW]
[ROW][C]35[/C][C]20318[/C][C]19825.9[/C][C]20259.7[/C][C]0.978589[/C][C]1.02482[/C][/ROW]
[ROW][C]36[/C][C]20246[/C][C]20758.5[/C][C]20354.7[/C][C]1.01984[/C][C]0.97531[/C][/ROW]
[ROW][C]37[/C][C]20467[/C][C]21341[/C][C]20385.2[/C][C]1.04689[/C][C]0.959044[/C][/ROW]
[ROW][C]38[/C][C]19655[/C][C]20557.2[/C][C]20394.4[/C][C]1.00798[/C][C]0.956113[/C][/ROW]
[ROW][C]39[/C][C]20538[/C][C]20320.2[/C][C]20409.8[/C][C]0.995612[/C][C]1.01072[/C][/ROW]
[ROW][C]40[/C][C]20467[/C][C]20626.4[/C][C]20416[/C][C]1.01031[/C][C]0.992272[/C][/ROW]
[ROW][C]41[/C][C]21792[/C][C]21858.9[/C][C]20413[/C][C]1.07083[/C][C]0.996942[/C][/ROW]
[ROW][C]42[/C][C]21493[/C][C]21532.8[/C][C]20416[/C][C]1.0547[/C][C]0.998151[/C][/ROW]
[ROW][C]43[/C][C]20318[/C][C]20194.8[/C][C]20431.1[/C][C]0.988435[/C][C]1.0061[/C][/ROW]
[ROW][C]44[/C][C]19726[/C][C]19267.6[/C][C]20455.8[/C][C]0.941915[/C][C]1.02379[/C][/ROW]
[ROW][C]45[/C][C]20538[/C][C]20301.6[/C][C]20465[/C][C]0.992016[/C][C]1.01164[/C][/ROW]
[ROW][C]46[/C][C]19434[/C][C]18272.7[/C][C]20464.8[/C][C]0.892882[/C][C]1.06356[/C][/ROW]
[ROW][C]47[/C][C]20246[/C][C]20017.4[/C][C]20455.3[/C][C]0.978589[/C][C]1.01142[/C][/ROW]
[ROW][C]48[/C][C]20389[/C][C]20814.3[/C][C]20409.3[/C][C]1.01984[/C][C]0.979568[/C][/ROW]
[ROW][C]49[/C][C]20688[/C][C]21315[/C][C]20360.3[/C][C]1.04689[/C][C]0.970586[/C][/ROW]
[ROW][C]50[/C][C]20026[/C][C]20470.5[/C][C]20308.4[/C][C]1.00798[/C][C]0.978288[/C][/ROW]
[ROW][C]51[/C][C]20389[/C][C]20155.5[/C][C]20244.3[/C][C]0.995612[/C][C]1.01159[/C][/ROW]
[ROW][C]52[/C][C]20610[/C][C]20335.4[/C][C]20128[/C][C]1.01031[/C][C]1.0135[/C][/ROW]
[ROW][C]53[/C][C]21422[/C][C]21386.1[/C][C]19971.5[/C][C]1.07083[/C][C]1.00168[/C][/ROW]
[ROW][C]54[/C][C]20759[/C][C]20937.9[/C][C]19851.9[/C][C]1.0547[/C][C]0.991455[/C][/ROW]
[ROW][C]55[/C][C]19876[/C][C]19540.5[/C][C]19769.1[/C][C]0.988435[/C][C]1.01717[/C][/ROW]
[ROW][C]56[/C][C]18921[/C][C]18545.6[/C][C]19689.2[/C][C]0.941915[/C][C]1.02024[/C][/ROW]
[ROW][C]57[/C][C]19805[/C][C]19425.7[/C][C]19582[/C][C]0.992016[/C][C]1.01953[/C][/ROW]
[ROW][C]58[/C][C]17375[/C][C]17367[/C][C]19450.5[/C][C]0.892882[/C][C]1.00046[/C][/ROW]
[ROW][C]59[/C][C]18551[/C][C]18884.1[/C][C]19297.2[/C][C]0.978589[/C][C]0.982362[/C][/ROW]
[ROW][C]60[/C][C]19213[/C][C]19508.2[/C][C]19128.7[/C][C]1.01984[/C][C]0.984868[/C][/ROW]
[ROW][C]61[/C][C]19876[/C][C]19842.6[/C][C]18953.9[/C][C]1.04689[/C][C]1.00169[/C][/ROW]
[ROW][C]62[/C][C]18921[/C][C]18931.9[/C][C]18782[/C][C]1.00798[/C][C]0.999422[/C][/ROW]
[ROW][C]63[/C][C]18921[/C][C]18522.3[/C][C]18604[/C][C]0.995612[/C][C]1.02152[/C][/ROW]
[ROW][C]64[/C][C]18921[/C][C]18609.5[/C][C]18419.6[/C][C]1.01031[/C][C]1.01674[/C][/ROW]
[ROW][C]65[/C][C]19434[/C][C]19543.5[/C][C]18250.8[/C][C]1.07083[/C][C]0.9944[/C][/ROW]
[ROW][C]66[/C][C]18701[/C][C]19087.3[/C][C]18097.3[/C][C]1.0547[/C][C]0.979759[/C][/ROW]
[ROW][C]67[/C][C]17739[/C][C]17721.4[/C][C]17928.8[/C][C]0.988435[/C][C]1.00099[/C][/ROW]
[ROW][C]68[/C][C]16934[/C][C]16714[/C][C]17744.7[/C][C]0.941915[/C][C]1.01316[/C][/ROW]
[ROW][C]69[/C][C]17518[/C][C]17429.3[/C][C]17569.6[/C][C]0.992016[/C][C]1.00509[/C][/ROW]
[ROW][C]70[/C][C]15238[/C][C]15525.7[/C][C]17388.2[/C][C]0.892882[/C][C]0.981472[/C][/ROW]
[ROW][C]71[/C][C]16635[/C][C]16838.8[/C][C]17207.2[/C][C]0.978589[/C][C]0.987898[/C][/ROW]
[ROW][C]72[/C][C]17447[/C][C]17382.7[/C][C]17044.5[/C][C]1.01984[/C][C]1.0037[/C][/ROW]
[ROW][C]73[/C][C]17596[/C][C]17679.9[/C][C]16888[/C][C]1.04689[/C][C]0.995256[/C][/ROW]
[ROW][C]74[/C][C]16784[/C][C]16865.2[/C][C]16731.6[/C][C]1.00798[/C][C]0.995187[/C][/ROW]
[ROW][C]75[/C][C]16855[/C][C]16532.9[/C][C]16605.8[/C][C]0.995612[/C][C]1.01948[/C][/ROW]
[ROW][C]76[/C][C]16635[/C][C]16659.3[/C][C]16489.4[/C][C]1.01031[/C][C]0.99854[/C][/ROW]
[ROW][C]77[/C][C]17375[/C][C]17529.5[/C][C]16370[/C][C]1.07083[/C][C]0.991184[/C][/ROW]
[ROW][C]78[/C][C]16855[/C][C]17155.6[/C][C]16265.8[/C][C]1.0547[/C][C]0.982475[/C][/ROW]
[ROW][C]79[/C][C]15830[/C][C]15968.3[/C][C]16155.1[/C][C]0.988435[/C][C]0.991339[/C][/ROW]
[ROW][C]80[/C][C]15089[/C][C]15101[/C][C]16032.2[/C][C]0.941915[/C][C]0.999205[/C][/ROW]
[ROW][C]81[/C][C]16342[/C][C]15737[/C][C]15863.7[/C][C]0.992016[/C][C]1.03844[/C][/ROW]
[ROW][C]82[/C][C]13621[/C][C]13983.9[/C][C]15661.5[/C][C]0.892882[/C][C]0.974048[/C][/ROW]
[ROW][C]83[/C][C]15388[/C][C]15137.1[/C][C]15468.3[/C][C]0.978589[/C][C]1.01657[/C][/ROW]
[ROW][C]84[/C][C]16193[/C][C]15571.9[/C][C]15268.9[/C][C]1.01984[/C][C]1.03989[/C][/ROW]
[ROW][C]85[/C][C]16193[/C][C]15750.5[/C][C]15045.1[/C][C]1.04689[/C][C]1.02809[/C][/ROW]
[ROW][C]86[/C][C]15238[/C][C]14914.8[/C][C]14796.7[/C][C]1.00798[/C][C]1.02167[/C][/ROW]
[ROW][C]87[/C][C]14355[/C][C]14466.1[/C][C]14529.8[/C][C]0.995612[/C][C]0.992321[/C][/ROW]
[ROW][C]88[/C][C]14284[/C][C]14413[/C][C]14266[/C][C]1.01031[/C][C]0.991048[/C][/ROW]
[ROW][C]89[/C][C]15089[/C][C]15026.6[/C][C]14032.7[/C][C]1.07083[/C][C]1.00415[/C][/ROW]
[ROW][C]90[/C][C]14355[/C][C]14589.9[/C][C]13833.2[/C][C]1.0547[/C][C]0.983897[/C][/ROW]
[ROW][C]91[/C][C]12959[/C][C]13506.6[/C][C]13664.6[/C][C]0.988435[/C][C]0.95946[/C][/ROW]
[ROW][C]92[/C][C]11997[/C][C]12732.2[/C][C]13517.4[/C][C]0.941915[/C][C]0.942256[/C][/ROW]
[ROW][C]93[/C][C]13030[/C][C]13263.4[/C][C]13370.2[/C][C]0.992016[/C][C]0.982401[/C][/ROW]
[ROW][C]94[/C][C]10601[/C][C]11831.2[/C][C]13250.5[/C][C]0.892882[/C][C]0.896023[/C][/ROW]
[ROW][C]95[/C][C]12809[/C][C]12861.7[/C][C]13143.1[/C][C]0.978589[/C][C]0.995904[/C][/ROW]
[ROW][C]96[/C][C]13984[/C][C]13294.3[/C][C]13035.6[/C][C]1.01984[/C][C]1.05188[/C][/ROW]
[ROW][C]97[/C][C]14355[/C][C]13521.2[/C][C]12915.7[/C][C]1.04689[/C][C]1.06166[/C][/ROW]
[ROW][C]98[/C][C]13543[/C][C]12861[/C][C]12759.2[/C][C]1.00798[/C][C]1.05303[/C][/ROW]
[ROW][C]99[/C][C]12517[/C][C]12532.4[/C][C]12587.6[/C][C]0.995612[/C][C]0.998772[/C][/ROW]
[ROW][C]100[/C][C]13251[/C][C]12540.7[/C][C]12412.8[/C][C]1.01031[/C][C]1.05664[/C][/ROW]
[ROW][C]101[/C][C]13543[/C][C]13117.8[/C][C]12250.1[/C][C]1.07083[/C][C]1.03242[/C][/ROW]
[ROW][C]102[/C][C]13322[/C][C]12735.9[/C][C]12075.3[/C][C]1.0547[/C][C]1.04602[/C][/ROW]
[ROW][C]103[/C][C]11113[/C][C]11759.9[/C][C]11897.5[/C][C]0.988435[/C][C]0.94499[/C][/ROW]
[ROW][C]104[/C][C]10088[/C][C]11038.9[/C][C]11719.7[/C][C]0.941915[/C][C]0.913857[/C][/ROW]
[ROW][C]105[/C][C]10821[/C][C]11437.3[/C][C]11529.4[/C][C]0.992016[/C][C]0.946113[/C][/ROW]
[ROW][C]106[/C][C]8613[/C][C]10118.9[/C][C]11332.8[/C][C]0.892882[/C][C]0.851181[/C][/ROW]
[ROW][C]107[/C][C]10893[/C][C]10892[/C][C]11130.3[/C][C]0.978589[/C][C]1.00009[/C][/ROW]
[ROW][C]108[/C][C]11705[/C][C]11129.2[/C][C]10912.7[/C][C]1.01984[/C][C]1.05174[/C][/ROW]
[ROW][C]109[/C][C]12367[/C][C]11180.8[/C][C]10680[/C][C]1.04689[/C][C]1.1061[/C][/ROW]
[ROW][C]110[/C][C]11263[/C][C]10533.4[/C][C]10450[/C][C]1.00798[/C][C]1.06927[/C][/ROW]
[ROW][C]111[/C][C]10230[/C][C]10183.9[/C][C]10228.8[/C][C]0.995612[/C][C]1.00453[/C][/ROW]
[ROW][C]112[/C][C]10821[/C][C]10107.8[/C][C]10004.7[/C][C]1.01031[/C][C]1.07056[/C][/ROW]
[ROW][C]113[/C][C]11113[/C][C]10479.9[/C][C]9786.75[/C][C]1.07083[/C][C]1.06041[/C][/ROW]
[ROW][C]114[/C][C]10529[/C][C]10144.3[/C][C]9618.12[/C][C]1.0547[/C][C]1.03792[/C][/ROW]
[ROW][C]115[/C][C]8321[/C][C]NA[/C][C]NA[/C][C]0.988435[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]7359[/C][C]NA[/C][C]NA[/C][C]0.941915[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]8242[/C][C]NA[/C][C]NA[/C][C]0.992016[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]5813[/C][C]NA[/C][C]NA[/C][C]0.892882[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]8463[/C][C]NA[/C][C]NA[/C][C]0.978589[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]10088[/C][C]NA[/C][C]NA[/C][C]1.01984[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279951&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279951&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
119064NANA1.04689NA
218993NANA1.00798NA
318921NANA0.995612NA
418772NANA1.01031NA
520246NANA1.07083NA
620168NANA1.0547NA
71906418726.9189460.9884351.018
81833017830.918930.50.9419151.02799
91840118764.118915.10.9920160.980651
101840116864.318887.50.8928821.09112
111848018465.118869.10.9785891.00081
121862219259.218884.51.019840.966915
131884319831.1189431.046890.950173
141884319168.419016.61.007980.983026
151870119009.419093.20.9956120.983775
161833019355.119157.71.010310.947037
172024620563.919203.71.070830.984543
182053820312.419258.91.05471.01111
192009719087.819311.10.9884351.05287
201906418221.3193450.9419151.04625
211950619217.919372.50.9920161.01499
221884317324.719403.10.8928821.08764
231914218999.619415.20.9785891.0075
241928519809.919424.51.019840.973505
251943420354.519442.91.046890.954777
261906419625.919470.51.007980.971369
27191421944019525.70.9956120.984669
28186221978919587.11.010310.941028
292024621053.319660.71.070830.961653
302075920830.219749.81.05470.996582
312031819603.519832.90.9884351.03645
321950618744.619900.50.9419151.04062
332038919823.819983.30.9920161.02851
341943417963.320118.40.8928821.08187
352031819825.920259.70.9785891.02482
362024620758.520354.71.019840.97531
37204672134120385.21.046890.959044
381965520557.220394.41.007980.956113
392053820320.220409.80.9956121.01072
402046720626.4204161.010310.992272
412179221858.9204131.070830.996942
422149321532.8204161.05470.998151
432031820194.820431.10.9884351.0061
441972619267.620455.80.9419151.02379
452053820301.6204650.9920161.01164
461943418272.720464.80.8928821.06356
472024620017.420455.30.9785891.01142
482038920814.320409.31.019840.979568
49206882131520360.31.046890.970586
502002620470.520308.41.007980.978288
512038920155.520244.30.9956121.01159
522061020335.4201281.010311.0135
532142221386.119971.51.070831.00168
542075920937.919851.91.05470.991455
551987619540.519769.10.9884351.01717
561892118545.619689.20.9419151.02024
571980519425.7195820.9920161.01953
58173751736719450.50.8928821.00046
591855118884.119297.20.9785890.982362
601921319508.219128.71.019840.984868
611987619842.618953.91.046891.00169
621892118931.9187821.007980.999422
631892118522.3186040.9956121.02152
641892118609.518419.61.010311.01674
651943419543.518250.81.070830.9944
661870119087.318097.31.05470.979759
671773917721.417928.80.9884351.00099
68169341671417744.70.9419151.01316
691751817429.317569.60.9920161.00509
701523815525.717388.20.8928820.981472
711663516838.817207.20.9785890.987898
721744717382.717044.51.019841.0037
731759617679.9168881.046890.995256
741678416865.216731.61.007980.995187
751685516532.916605.80.9956121.01948
761663516659.316489.41.010310.99854
771737517529.5163701.070830.991184
781685517155.616265.81.05470.982475
791583015968.316155.10.9884350.991339
80150891510116032.20.9419150.999205
81163421573715863.70.9920161.03844
821362113983.915661.50.8928820.974048
831538815137.115468.30.9785891.01657
841619315571.915268.91.019841.03989
851619315750.515045.11.046891.02809
861523814914.814796.71.007981.02167
871435514466.114529.80.9956120.992321
881428414413142661.010310.991048
891508915026.614032.71.070831.00415
901435514589.913833.21.05470.983897
911295913506.613664.60.9884350.95946
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931303013263.413370.20.9920160.982401
941060111831.213250.50.8928820.896023
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1001325112540.712412.81.010311.05664
1011354313117.812250.11.070831.03242
1021332212735.912075.31.05471.04602
1031111311759.911897.50.9884350.94499
1041008811038.911719.70.9419150.913857
1051082111437.311529.40.9920160.946113
106861310118.911332.80.8928820.851181
107108931089211130.30.9785891.00009
1081170511129.210912.71.019841.05174
1091236711180.8106801.046891.1061
1101126310533.4104501.007981.06927
1111023010183.910228.80.9956121.00453
1121082110107.810004.71.010311.07056
1131111310479.99786.751.070831.06041
1141052910144.39618.121.05471.03792
1158321NANA0.988435NA
1167359NANA0.941915NA
1178242NANA0.992016NA
1185813NANA0.892882NA
1198463NANA0.978589NA
12010088NANA1.01984NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')