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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareClassical Decomposition
Date of computationSun, 09 Dec 2012 06:01:53 -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/2012/Dec/09/t1355050955v561kkzoduyrdpv.htm/, Retrieved Fri, 19 Apr 2024 05:45:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197800, Retrieved Fri, 19 Apr 2024 05:45:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [HPC Retail Sales] [2008-03-08 13:40:54] [1c0f2c85e8a48e42648374b3bcceca26]
- RMPD  [Classical Decomposition] [Workshop 8] [2012-11-23 13:02:53] [498ff5d3288f0a3191251bab12f09e42]
- R  D    [Classical Decomposition] [Workshop 8] [2012-11-23 13:46:18] [74be16979710d4c4e7c6647856088456]
-   P       [Classical Decomposition] [Multiplicatief model] [2012-11-23 14:43:36] [74be16979710d4c4e7c6647856088456]
-  M            [Classical Decomposition] [Paper - klassieke...] [2012-12-09 11:01:53] [88970af05b38e2e8b1d3faaed6004b57] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394
20148
20108
18584
18441
18391
19178
18079
18483
19644
19195
19650
20830
23595
22937
21814
21928
21777
21383
21467
22052
22680
24320
24977
25204
25739
26434
27525
30695
32436
30160
30236
31293
31077
32226
33865
32810
32242
32700
32819
33947
34148
35261
39506
41591
39148
41216
40225
41126
42362
40740
40256
39804
41002
41702
42254
43605
43271

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197800&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]3 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=197800&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197800&T=0

As an alternative you can also use a QR Code:  
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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
115579NANA1.01817252762577NA
216348NANA1.04342138187056NA
315928NANA1.02033226444408NA
416171NANA0.984073887013832NA
515937NANA1.00425740007019NA
615713NANA1.0007460869195NA
71559416030.278587996216480.95833333330.9726545182493660.972784091954403
81568316303.919533942716798.250.970572502132230.961915934837016
91643816971.863721829717130.750.9907250833635250.968544189926352
101703217151.442140017817405.45833333330.9854059463157570.993036029329619
111769617697.241754821417610.33333333331.00493508100290.999929833426099
121774517910.09257583917826.251.00470332099230.990782148381426
131939418415.856202588618087.16666666671.018172527625771.05311421780509
142014819132.522265105818336.33333333331.043421381870561.05307599911937
152010818897.95649436818521.3751.020332264444081.06403038899961
161858418417.352826250118715.41666666670.9840738870138321.00904837819648
171844118967.116606717218886.70833333331.004257400070190.9722616453715
181839119042.738612701219028.54166666671.00074608691950.965774953594829
191917818643.598642174319167.750.9726545182493661.02866406685117
201807918801.16214140819371.20833333330.970572502132230.961589494522919
211848319450.616600193419632.70833333330.9907250833635250.950252651621141
221964419594.961476813219885.16666666670.9854059463157571.00250260880813
231919520264.557780718620165.04166666671.00493508100290.947220275305676
241965020547.606243997320451.41666666671.00470332099230.956315775505017
252083021060.262376109320684.3751.018172527625770.989066500122502
262359521825.679803495620917.41666666671.043421381870561.08106598339361
272293721638.48392897621207.29166666671.020332264444081.0600095679201
282181421140.367277774621482.50.9840738870138321.0318647596503
292192821915.4489570921822.54166666671.004257400070191.00057270297928
302177722274.648100407822258.04166666671.00074608691950.977658542655107
312138322042.539856196722662.250.9726545182493660.97007877220595
322146722258.948001816922933.83333333330.970572502132230.964421139680446
332205222953.985615814123168.8750.9907250833635250.960704618757247
342268023208.81460918323552.54166666670.9854059463157570.977214923808572
352432024275.002455230924155.79166666671.00493508100291.00185365768148
362497725082.627721764724965.20833333331.00470332099230.995788809572252
372520426243.439323409525775.04166666671.018172527625770.960392412343517
382573927657.057575533726506.1251.043421381870560.930648530838996
392643427810.728879664427256.54166666671.020332264444080.950496483367213
402752527545.66320526927991.45833333330.9840738870138320.999249856316217
413069528792.812853062328670.751.004257400070191.06606465150331
423243629392.41294586929370.51.00074608691951.10355009164223
433016029235.806345909930057.750.9726545182493661.03161170392071
443023629743.80093565630645.6250.970572502132231.0165479544934
453129330888.496407413531177.66666666670.9907250833635251.01309560644361
463107731197.295323059331659.33333333330.9854059463157570.996144046404869
473222632173.415341258332015.41666666671.00493508100291.00163441332491
483386532373.801584844232222.251.00470332099231.04606188776588
493281033096.843454569232506.1251.018172527625770.991333208105995
503224234542.37789504333104.91666666671.043421381870560.933404182478905
513270034609.925493009333920.251.020332264444080.94481567163746
523281934133.217817254134685.6250.9840738870138320.9614973945823
533394735547.197061584335396.51.004257400070190.954983875133332
543414836062.969383738236036.08333333331.00074608691950.946899287095264
553526135645.437512086836647.58333333330.9726545182493660.989214958802049
563950636314.69809665437415.750.970572502132231.08787907020051
574159137818.370684270638172.41666666670.9907250833635251.09975652698593
583914838250.790028206438817.29166666670.9854059463157571.0234559853831
594121639565.508435640439371.20833333331.00493508100291.04171541399612
604022540088.499760360339900.83333333331.00470332099231.00340497250971
614112641189.957485823940454.79166666671.018172527625770.998447255357184
624236242610.894585702640837.66666666671.043421381870560.9941588979034
634074041870.439831415941036.08333333331.020332264444080.973001481809901
644025640634.17392718241291.79166666670.9840738870138320.99069320498899
6539804NANA1.00425740007019NA
6641002NANA1.0007460869195NA
6741702NANA0.972654518249366NA
6842254NANA0.97057250213223NA
6943605NANA0.990725083363525NA
7043271NANA0.985405946315757NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 15579 & NA & NA & 1.01817252762577 & NA \tabularnewline
2 & 16348 & NA & NA & 1.04342138187056 & NA \tabularnewline
3 & 15928 & NA & NA & 1.02033226444408 & NA \tabularnewline
4 & 16171 & NA & NA & 0.984073887013832 & NA \tabularnewline
5 & 15937 & NA & NA & 1.00425740007019 & NA \tabularnewline
6 & 15713 & NA & NA & 1.0007460869195 & NA \tabularnewline
7 & 15594 & 16030.2785879962 & 16480.9583333333 & 0.972654518249366 & 0.972784091954403 \tabularnewline
8 & 15683 & 16303.9195339427 & 16798.25 & 0.97057250213223 & 0.961915934837016 \tabularnewline
9 & 16438 & 16971.8637218297 & 17130.75 & 0.990725083363525 & 0.968544189926352 \tabularnewline
10 & 17032 & 17151.4421400178 & 17405.4583333333 & 0.985405946315757 & 0.993036029329619 \tabularnewline
11 & 17696 & 17697.2417548214 & 17610.3333333333 & 1.0049350810029 & 0.999929833426099 \tabularnewline
12 & 17745 & 17910.092575839 & 17826.25 & 1.0047033209923 & 0.990782148381426 \tabularnewline
13 & 19394 & 18415.8562025886 & 18087.1666666667 & 1.01817252762577 & 1.05311421780509 \tabularnewline
14 & 20148 & 19132.5222651058 & 18336.3333333333 & 1.04342138187056 & 1.05307599911937 \tabularnewline
15 & 20108 & 18897.956494368 & 18521.375 & 1.02033226444408 & 1.06403038899961 \tabularnewline
16 & 18584 & 18417.3528262501 & 18715.4166666667 & 0.984073887013832 & 1.00904837819648 \tabularnewline
17 & 18441 & 18967.1166067172 & 18886.7083333333 & 1.00425740007019 & 0.9722616453715 \tabularnewline
18 & 18391 & 19042.7386127012 & 19028.5416666667 & 1.0007460869195 & 0.965774953594829 \tabularnewline
19 & 19178 & 18643.5986421743 & 19167.75 & 0.972654518249366 & 1.02866406685117 \tabularnewline
20 & 18079 & 18801.162141408 & 19371.2083333333 & 0.97057250213223 & 0.961589494522919 \tabularnewline
21 & 18483 & 19450.6166001934 & 19632.7083333333 & 0.990725083363525 & 0.950252651621141 \tabularnewline
22 & 19644 & 19594.9614768132 & 19885.1666666667 & 0.985405946315757 & 1.00250260880813 \tabularnewline
23 & 19195 & 20264.5577807186 & 20165.0416666667 & 1.0049350810029 & 0.947220275305676 \tabularnewline
24 & 19650 & 20547.6062439973 & 20451.4166666667 & 1.0047033209923 & 0.956315775505017 \tabularnewline
25 & 20830 & 21060.2623761093 & 20684.375 & 1.01817252762577 & 0.989066500122502 \tabularnewline
26 & 23595 & 21825.6798034956 & 20917.4166666667 & 1.04342138187056 & 1.08106598339361 \tabularnewline
27 & 22937 & 21638.483928976 & 21207.2916666667 & 1.02033226444408 & 1.0600095679201 \tabularnewline
28 & 21814 & 21140.3672777746 & 21482.5 & 0.984073887013832 & 1.0318647596503 \tabularnewline
29 & 21928 & 21915.44895709 & 21822.5416666667 & 1.00425740007019 & 1.00057270297928 \tabularnewline
30 & 21777 & 22274.6481004078 & 22258.0416666667 & 1.0007460869195 & 0.977658542655107 \tabularnewline
31 & 21383 & 22042.5398561967 & 22662.25 & 0.972654518249366 & 0.97007877220595 \tabularnewline
32 & 21467 & 22258.9480018169 & 22933.8333333333 & 0.97057250213223 & 0.964421139680446 \tabularnewline
33 & 22052 & 22953.9856158141 & 23168.875 & 0.990725083363525 & 0.960704618757247 \tabularnewline
34 & 22680 & 23208.814609183 & 23552.5416666667 & 0.985405946315757 & 0.977214923808572 \tabularnewline
35 & 24320 & 24275.0024552309 & 24155.7916666667 & 1.0049350810029 & 1.00185365768148 \tabularnewline
36 & 24977 & 25082.6277217647 & 24965.2083333333 & 1.0047033209923 & 0.995788809572252 \tabularnewline
37 & 25204 & 26243.4393234095 & 25775.0416666667 & 1.01817252762577 & 0.960392412343517 \tabularnewline
38 & 25739 & 27657.0575755337 & 26506.125 & 1.04342138187056 & 0.930648530838996 \tabularnewline
39 & 26434 & 27810.7288796644 & 27256.5416666667 & 1.02033226444408 & 0.950496483367213 \tabularnewline
40 & 27525 & 27545.663205269 & 27991.4583333333 & 0.984073887013832 & 0.999249856316217 \tabularnewline
41 & 30695 & 28792.8128530623 & 28670.75 & 1.00425740007019 & 1.06606465150331 \tabularnewline
42 & 32436 & 29392.412945869 & 29370.5 & 1.0007460869195 & 1.10355009164223 \tabularnewline
43 & 30160 & 29235.8063459099 & 30057.75 & 0.972654518249366 & 1.03161170392071 \tabularnewline
44 & 30236 & 29743.800935656 & 30645.625 & 0.97057250213223 & 1.0165479544934 \tabularnewline
45 & 31293 & 30888.4964074135 & 31177.6666666667 & 0.990725083363525 & 1.01309560644361 \tabularnewline
46 & 31077 & 31197.2953230593 & 31659.3333333333 & 0.985405946315757 & 0.996144046404869 \tabularnewline
47 & 32226 & 32173.4153412583 & 32015.4166666667 & 1.0049350810029 & 1.00163441332491 \tabularnewline
48 & 33865 & 32373.8015848442 & 32222.25 & 1.0047033209923 & 1.04606188776588 \tabularnewline
49 & 32810 & 33096.8434545692 & 32506.125 & 1.01817252762577 & 0.991333208105995 \tabularnewline
50 & 32242 & 34542.377895043 & 33104.9166666667 & 1.04342138187056 & 0.933404182478905 \tabularnewline
51 & 32700 & 34609.9254930093 & 33920.25 & 1.02033226444408 & 0.94481567163746 \tabularnewline
52 & 32819 & 34133.2178172541 & 34685.625 & 0.984073887013832 & 0.9614973945823 \tabularnewline
53 & 33947 & 35547.1970615843 & 35396.5 & 1.00425740007019 & 0.954983875133332 \tabularnewline
54 & 34148 & 36062.9693837382 & 36036.0833333333 & 1.0007460869195 & 0.946899287095264 \tabularnewline
55 & 35261 & 35645.4375120868 & 36647.5833333333 & 0.972654518249366 & 0.989214958802049 \tabularnewline
56 & 39506 & 36314.698096654 & 37415.75 & 0.97057250213223 & 1.08787907020051 \tabularnewline
57 & 41591 & 37818.3706842706 & 38172.4166666667 & 0.990725083363525 & 1.09975652698593 \tabularnewline
58 & 39148 & 38250.7900282064 & 38817.2916666667 & 0.985405946315757 & 1.0234559853831 \tabularnewline
59 & 41216 & 39565.5084356404 & 39371.2083333333 & 1.0049350810029 & 1.04171541399612 \tabularnewline
60 & 40225 & 40088.4997603603 & 39900.8333333333 & 1.0047033209923 & 1.00340497250971 \tabularnewline
61 & 41126 & 41189.9574858239 & 40454.7916666667 & 1.01817252762577 & 0.998447255357184 \tabularnewline
62 & 42362 & 42610.8945857026 & 40837.6666666667 & 1.04342138187056 & 0.9941588979034 \tabularnewline
63 & 40740 & 41870.4398314159 & 41036.0833333333 & 1.02033226444408 & 0.973001481809901 \tabularnewline
64 & 40256 & 40634.173927182 & 41291.7916666667 & 0.984073887013832 & 0.99069320498899 \tabularnewline
65 & 39804 & NA & NA & 1.00425740007019 & NA \tabularnewline
66 & 41002 & NA & NA & 1.0007460869195 & NA \tabularnewline
67 & 41702 & NA & NA & 0.972654518249366 & NA \tabularnewline
68 & 42254 & NA & NA & 0.97057250213223 & NA \tabularnewline
69 & 43605 & NA & NA & 0.990725083363525 & NA \tabularnewline
70 & 43271 & NA & NA & 0.985405946315757 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197800&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]15579[/C][C]NA[/C][C]NA[/C][C]1.01817252762577[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]16348[/C][C]NA[/C][C]NA[/C][C]1.04342138187056[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15928[/C][C]NA[/C][C]NA[/C][C]1.02033226444408[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16171[/C][C]NA[/C][C]NA[/C][C]0.984073887013832[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]15937[/C][C]NA[/C][C]NA[/C][C]1.00425740007019[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15713[/C][C]NA[/C][C]NA[/C][C]1.0007460869195[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]15594[/C][C]16030.2785879962[/C][C]16480.9583333333[/C][C]0.972654518249366[/C][C]0.972784091954403[/C][/ROW]
[ROW][C]8[/C][C]15683[/C][C]16303.9195339427[/C][C]16798.25[/C][C]0.97057250213223[/C][C]0.961915934837016[/C][/ROW]
[ROW][C]9[/C][C]16438[/C][C]16971.8637218297[/C][C]17130.75[/C][C]0.990725083363525[/C][C]0.968544189926352[/C][/ROW]
[ROW][C]10[/C][C]17032[/C][C]17151.4421400178[/C][C]17405.4583333333[/C][C]0.985405946315757[/C][C]0.993036029329619[/C][/ROW]
[ROW][C]11[/C][C]17696[/C][C]17697.2417548214[/C][C]17610.3333333333[/C][C]1.0049350810029[/C][C]0.999929833426099[/C][/ROW]
[ROW][C]12[/C][C]17745[/C][C]17910.092575839[/C][C]17826.25[/C][C]1.0047033209923[/C][C]0.990782148381426[/C][/ROW]
[ROW][C]13[/C][C]19394[/C][C]18415.8562025886[/C][C]18087.1666666667[/C][C]1.01817252762577[/C][C]1.05311421780509[/C][/ROW]
[ROW][C]14[/C][C]20148[/C][C]19132.5222651058[/C][C]18336.3333333333[/C][C]1.04342138187056[/C][C]1.05307599911937[/C][/ROW]
[ROW][C]15[/C][C]20108[/C][C]18897.956494368[/C][C]18521.375[/C][C]1.02033226444408[/C][C]1.06403038899961[/C][/ROW]
[ROW][C]16[/C][C]18584[/C][C]18417.3528262501[/C][C]18715.4166666667[/C][C]0.984073887013832[/C][C]1.00904837819648[/C][/ROW]
[ROW][C]17[/C][C]18441[/C][C]18967.1166067172[/C][C]18886.7083333333[/C][C]1.00425740007019[/C][C]0.9722616453715[/C][/ROW]
[ROW][C]18[/C][C]18391[/C][C]19042.7386127012[/C][C]19028.5416666667[/C][C]1.0007460869195[/C][C]0.965774953594829[/C][/ROW]
[ROW][C]19[/C][C]19178[/C][C]18643.5986421743[/C][C]19167.75[/C][C]0.972654518249366[/C][C]1.02866406685117[/C][/ROW]
[ROW][C]20[/C][C]18079[/C][C]18801.162141408[/C][C]19371.2083333333[/C][C]0.97057250213223[/C][C]0.961589494522919[/C][/ROW]
[ROW][C]21[/C][C]18483[/C][C]19450.6166001934[/C][C]19632.7083333333[/C][C]0.990725083363525[/C][C]0.950252651621141[/C][/ROW]
[ROW][C]22[/C][C]19644[/C][C]19594.9614768132[/C][C]19885.1666666667[/C][C]0.985405946315757[/C][C]1.00250260880813[/C][/ROW]
[ROW][C]23[/C][C]19195[/C][C]20264.5577807186[/C][C]20165.0416666667[/C][C]1.0049350810029[/C][C]0.947220275305676[/C][/ROW]
[ROW][C]24[/C][C]19650[/C][C]20547.6062439973[/C][C]20451.4166666667[/C][C]1.0047033209923[/C][C]0.956315775505017[/C][/ROW]
[ROW][C]25[/C][C]20830[/C][C]21060.2623761093[/C][C]20684.375[/C][C]1.01817252762577[/C][C]0.989066500122502[/C][/ROW]
[ROW][C]26[/C][C]23595[/C][C]21825.6798034956[/C][C]20917.4166666667[/C][C]1.04342138187056[/C][C]1.08106598339361[/C][/ROW]
[ROW][C]27[/C][C]22937[/C][C]21638.483928976[/C][C]21207.2916666667[/C][C]1.02033226444408[/C][C]1.0600095679201[/C][/ROW]
[ROW][C]28[/C][C]21814[/C][C]21140.3672777746[/C][C]21482.5[/C][C]0.984073887013832[/C][C]1.0318647596503[/C][/ROW]
[ROW][C]29[/C][C]21928[/C][C]21915.44895709[/C][C]21822.5416666667[/C][C]1.00425740007019[/C][C]1.00057270297928[/C][/ROW]
[ROW][C]30[/C][C]21777[/C][C]22274.6481004078[/C][C]22258.0416666667[/C][C]1.0007460869195[/C][C]0.977658542655107[/C][/ROW]
[ROW][C]31[/C][C]21383[/C][C]22042.5398561967[/C][C]22662.25[/C][C]0.972654518249366[/C][C]0.97007877220595[/C][/ROW]
[ROW][C]32[/C][C]21467[/C][C]22258.9480018169[/C][C]22933.8333333333[/C][C]0.97057250213223[/C][C]0.964421139680446[/C][/ROW]
[ROW][C]33[/C][C]22052[/C][C]22953.9856158141[/C][C]23168.875[/C][C]0.990725083363525[/C][C]0.960704618757247[/C][/ROW]
[ROW][C]34[/C][C]22680[/C][C]23208.814609183[/C][C]23552.5416666667[/C][C]0.985405946315757[/C][C]0.977214923808572[/C][/ROW]
[ROW][C]35[/C][C]24320[/C][C]24275.0024552309[/C][C]24155.7916666667[/C][C]1.0049350810029[/C][C]1.00185365768148[/C][/ROW]
[ROW][C]36[/C][C]24977[/C][C]25082.6277217647[/C][C]24965.2083333333[/C][C]1.0047033209923[/C][C]0.995788809572252[/C][/ROW]
[ROW][C]37[/C][C]25204[/C][C]26243.4393234095[/C][C]25775.0416666667[/C][C]1.01817252762577[/C][C]0.960392412343517[/C][/ROW]
[ROW][C]38[/C][C]25739[/C][C]27657.0575755337[/C][C]26506.125[/C][C]1.04342138187056[/C][C]0.930648530838996[/C][/ROW]
[ROW][C]39[/C][C]26434[/C][C]27810.7288796644[/C][C]27256.5416666667[/C][C]1.02033226444408[/C][C]0.950496483367213[/C][/ROW]
[ROW][C]40[/C][C]27525[/C][C]27545.663205269[/C][C]27991.4583333333[/C][C]0.984073887013832[/C][C]0.999249856316217[/C][/ROW]
[ROW][C]41[/C][C]30695[/C][C]28792.8128530623[/C][C]28670.75[/C][C]1.00425740007019[/C][C]1.06606465150331[/C][/ROW]
[ROW][C]42[/C][C]32436[/C][C]29392.412945869[/C][C]29370.5[/C][C]1.0007460869195[/C][C]1.10355009164223[/C][/ROW]
[ROW][C]43[/C][C]30160[/C][C]29235.8063459099[/C][C]30057.75[/C][C]0.972654518249366[/C][C]1.03161170392071[/C][/ROW]
[ROW][C]44[/C][C]30236[/C][C]29743.800935656[/C][C]30645.625[/C][C]0.97057250213223[/C][C]1.0165479544934[/C][/ROW]
[ROW][C]45[/C][C]31293[/C][C]30888.4964074135[/C][C]31177.6666666667[/C][C]0.990725083363525[/C][C]1.01309560644361[/C][/ROW]
[ROW][C]46[/C][C]31077[/C][C]31197.2953230593[/C][C]31659.3333333333[/C][C]0.985405946315757[/C][C]0.996144046404869[/C][/ROW]
[ROW][C]47[/C][C]32226[/C][C]32173.4153412583[/C][C]32015.4166666667[/C][C]1.0049350810029[/C][C]1.00163441332491[/C][/ROW]
[ROW][C]48[/C][C]33865[/C][C]32373.8015848442[/C][C]32222.25[/C][C]1.0047033209923[/C][C]1.04606188776588[/C][/ROW]
[ROW][C]49[/C][C]32810[/C][C]33096.8434545692[/C][C]32506.125[/C][C]1.01817252762577[/C][C]0.991333208105995[/C][/ROW]
[ROW][C]50[/C][C]32242[/C][C]34542.377895043[/C][C]33104.9166666667[/C][C]1.04342138187056[/C][C]0.933404182478905[/C][/ROW]
[ROW][C]51[/C][C]32700[/C][C]34609.9254930093[/C][C]33920.25[/C][C]1.02033226444408[/C][C]0.94481567163746[/C][/ROW]
[ROW][C]52[/C][C]32819[/C][C]34133.2178172541[/C][C]34685.625[/C][C]0.984073887013832[/C][C]0.9614973945823[/C][/ROW]
[ROW][C]53[/C][C]33947[/C][C]35547.1970615843[/C][C]35396.5[/C][C]1.00425740007019[/C][C]0.954983875133332[/C][/ROW]
[ROW][C]54[/C][C]34148[/C][C]36062.9693837382[/C][C]36036.0833333333[/C][C]1.0007460869195[/C][C]0.946899287095264[/C][/ROW]
[ROW][C]55[/C][C]35261[/C][C]35645.4375120868[/C][C]36647.5833333333[/C][C]0.972654518249366[/C][C]0.989214958802049[/C][/ROW]
[ROW][C]56[/C][C]39506[/C][C]36314.698096654[/C][C]37415.75[/C][C]0.97057250213223[/C][C]1.08787907020051[/C][/ROW]
[ROW][C]57[/C][C]41591[/C][C]37818.3706842706[/C][C]38172.4166666667[/C][C]0.990725083363525[/C][C]1.09975652698593[/C][/ROW]
[ROW][C]58[/C][C]39148[/C][C]38250.7900282064[/C][C]38817.2916666667[/C][C]0.985405946315757[/C][C]1.0234559853831[/C][/ROW]
[ROW][C]59[/C][C]41216[/C][C]39565.5084356404[/C][C]39371.2083333333[/C][C]1.0049350810029[/C][C]1.04171541399612[/C][/ROW]
[ROW][C]60[/C][C]40225[/C][C]40088.4997603603[/C][C]39900.8333333333[/C][C]1.0047033209923[/C][C]1.00340497250971[/C][/ROW]
[ROW][C]61[/C][C]41126[/C][C]41189.9574858239[/C][C]40454.7916666667[/C][C]1.01817252762577[/C][C]0.998447255357184[/C][/ROW]
[ROW][C]62[/C][C]42362[/C][C]42610.8945857026[/C][C]40837.6666666667[/C][C]1.04342138187056[/C][C]0.9941588979034[/C][/ROW]
[ROW][C]63[/C][C]40740[/C][C]41870.4398314159[/C][C]41036.0833333333[/C][C]1.02033226444408[/C][C]0.973001481809901[/C][/ROW]
[ROW][C]64[/C][C]40256[/C][C]40634.173927182[/C][C]41291.7916666667[/C][C]0.984073887013832[/C][C]0.99069320498899[/C][/ROW]
[ROW][C]65[/C][C]39804[/C][C]NA[/C][C]NA[/C][C]1.00425740007019[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]41002[/C][C]NA[/C][C]NA[/C][C]1.0007460869195[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]41702[/C][C]NA[/C][C]NA[/C][C]0.972654518249366[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]42254[/C][C]NA[/C][C]NA[/C][C]0.97057250213223[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]43605[/C][C]NA[/C][C]NA[/C][C]0.990725083363525[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]43271[/C][C]NA[/C][C]NA[/C][C]0.985405946315757[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197800&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197800&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
115579NANA1.01817252762577NA
216348NANA1.04342138187056NA
315928NANA1.02033226444408NA
416171NANA0.984073887013832NA
515937NANA1.00425740007019NA
615713NANA1.0007460869195NA
71559416030.278587996216480.95833333330.9726545182493660.972784091954403
81568316303.919533942716798.250.970572502132230.961915934837016
91643816971.863721829717130.750.9907250833635250.968544189926352
101703217151.442140017817405.45833333330.9854059463157570.993036029329619
111769617697.241754821417610.33333333331.00493508100290.999929833426099
121774517910.09257583917826.251.00470332099230.990782148381426
131939418415.856202588618087.16666666671.018172527625771.05311421780509
142014819132.522265105818336.33333333331.043421381870561.05307599911937
152010818897.95649436818521.3751.020332264444081.06403038899961
161858418417.352826250118715.41666666670.9840738870138321.00904837819648
171844118967.116606717218886.70833333331.004257400070190.9722616453715
181839119042.738612701219028.54166666671.00074608691950.965774953594829
191917818643.598642174319167.750.9726545182493661.02866406685117
201807918801.16214140819371.20833333330.970572502132230.961589494522919
211848319450.616600193419632.70833333330.9907250833635250.950252651621141
221964419594.961476813219885.16666666670.9854059463157571.00250260880813
231919520264.557780718620165.04166666671.00493508100290.947220275305676
241965020547.606243997320451.41666666671.00470332099230.956315775505017
252083021060.262376109320684.3751.018172527625770.989066500122502
262359521825.679803495620917.41666666671.043421381870561.08106598339361
272293721638.48392897621207.29166666671.020332264444081.0600095679201
282181421140.367277774621482.50.9840738870138321.0318647596503
292192821915.4489570921822.54166666671.004257400070191.00057270297928
302177722274.648100407822258.04166666671.00074608691950.977658542655107
312138322042.539856196722662.250.9726545182493660.97007877220595
322146722258.948001816922933.83333333330.970572502132230.964421139680446
332205222953.985615814123168.8750.9907250833635250.960704618757247
342268023208.81460918323552.54166666670.9854059463157570.977214923808572
352432024275.002455230924155.79166666671.00493508100291.00185365768148
362497725082.627721764724965.20833333331.00470332099230.995788809572252
372520426243.439323409525775.04166666671.018172527625770.960392412343517
382573927657.057575533726506.1251.043421381870560.930648530838996
392643427810.728879664427256.54166666671.020332264444080.950496483367213
402752527545.66320526927991.45833333330.9840738870138320.999249856316217
413069528792.812853062328670.751.004257400070191.06606465150331
423243629392.41294586929370.51.00074608691951.10355009164223
433016029235.806345909930057.750.9726545182493661.03161170392071
443023629743.80093565630645.6250.970572502132231.0165479544934
453129330888.496407413531177.66666666670.9907250833635251.01309560644361
463107731197.295323059331659.33333333330.9854059463157570.996144046404869
473222632173.415341258332015.41666666671.00493508100291.00163441332491
483386532373.801584844232222.251.00470332099231.04606188776588
493281033096.843454569232506.1251.018172527625770.991333208105995
503224234542.37789504333104.91666666671.043421381870560.933404182478905
513270034609.925493009333920.251.020332264444080.94481567163746
523281934133.217817254134685.6250.9840738870138320.9614973945823
533394735547.197061584335396.51.004257400070190.954983875133332
543414836062.969383738236036.08333333331.00074608691950.946899287095264
553526135645.437512086836647.58333333330.9726545182493660.989214958802049
563950636314.69809665437415.750.970572502132231.08787907020051
574159137818.370684270638172.41666666670.9907250833635251.09975652698593
583914838250.790028206438817.29166666670.9854059463157571.0234559853831
594121639565.508435640439371.20833333331.00493508100291.04171541399612
604022540088.499760360339900.83333333331.00470332099231.00340497250971
614112641189.957485823940454.79166666671.018172527625770.998447255357184
624236242610.894585702640837.66666666671.043421381870560.9941588979034
634074041870.439831415941036.08333333331.020332264444080.973001481809901
644025640634.17392718241291.79166666670.9840738870138320.99069320498899
6539804NANA1.00425740007019NA
6641002NANA1.0007460869195NA
6741702NANA0.972654518249366NA
6842254NANA0.97057250213223NA
6943605NANA0.990725083363525NA
7043271NANA0.985405946315757NA


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')