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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 25 Nov 2011 04:53:48 -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/2011/Nov/25/t13222151336dps2jykxf7dr99.htm/, Retrieved Tue, 16 Apr 2024 06:10:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147276, Retrieved Tue, 16 Apr 2024 06:10:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
89.924
31.795
27.922
59.954
52.150
39.964
34.604
51.106
52.593
68.794
47.124
32.315
42.248
36.088
52.744
72.586
92.334
80.761
71.078
63.713
57.122
55.243
62.143
62.708
62.474
64.250
71.866
69.886
58.724
55.298
52.594
54.854
54.694
49.298
44.659
43.657
47.002
47.042
48.959
49.750
54.048
60.067
68.929
74.617
75.940
72.762
75.621
73.008
74.196
78.878
83.812
91.624
89.388
110.410
113.857
112.060
117.236
132.810
137.699
146.409




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147276&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147276&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147276&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'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
189.924NANA0.900510120162767NA
231.795NANA0.877921261066405NA
327.922NANA0.987848807627763NA
459.954NANA1.07381727242246NA
552.15NANA1.1063078010585NA
639.964NANA1.09173258007438NA
734.60446.11684837241347.03391666666670.9805019790132950.750354831721328
851.10648.421476625263245.22629166666671.070648838117131.05544075814772
952.59348.286058415258146.43941666666671.039764533690131.08919637937109
1068.79451.1449959185401481.065520748302921.3450778275468
1147.12447.786610243363450.20066666666670.9519118652480730.986133976861114
1232.31545.726916212282553.5748750.8535141932161770.706695370621122
1342.24851.144022019584356.79450.9005101201627670.826059397202321
1436.08851.656484620569358.83954166666670.8779212610664050.698615096731341
1552.74458.829895125426959.55354166666670.9878488076277630.896550977824257
1672.58663.545955865939459.1776251.073817272422461.14225994417539
1792.33465.536337346112959.23879166666671.10630780105851.40889777700518
1880.76166.738658863669261.13095833333331.091732580074381.21010822475434
1971.07862.00702686129963.24008333333330.9805019790132951.14628943843722
2063.71369.866528242381165.256251.070648838117130.911924516686542
2157.12269.899643777074767.22641666666671.039764533690130.817200158875982
2255.24372.360224364416767.91066666666671.065520748302920.763444288422713
2362.14363.204806050775266.397750.9519118652480730.983200548864556
2462.70854.570603525291963.9363750.8535141932161771.14911684953121
2562.47455.926406140238762.105250.9005101201627671.11707517631909
2664.2553.523311022121960.96595833333330.8779212610664051.20041153607714
2771.86659.760572183313360.49566666666670.9878488076277631.20256546037668
2869.88664.586663772462260.14679166666671.073817272422461.08205000719974
2958.72465.46087793484959.17058333333331.10630780105850.897085432591448
3055.29862.936518198130257.64829166666671.091732580074380.878631382592799
3152.59455.113852823340856.20983333333330.9805019790132950.954279138651079
3254.85458.723125914521554.84816666666671.070648838117130.934112398577803
3354.69455.291255343384253.17670833333331.039764533690130.989198014411593
3449.29854.749918990235951.383251.065520748302920.900421423615106
3544.65947.928207133319150.34941666666670.9519118652480730.931789496648074
3643.65742.977249112653850.35329166666670.8535141932161771.01581652854431
3747.00246.13549729500451.2326250.9005101201627671.01878169209829
3847.04246.298677484491252.73670833333330.8779212610664051.01605494057056
3948.95953.783839934963454.44541666666670.9878488076277630.910292014463867
4049.7560.464860914654956.30833333333331.073817272422460.822791936464077
4154.04864.803177947119758.57608333333331.10630780105850.834033171090836
4260.06766.692988050736161.0891251.091732580074380.900649404916519
4368.92962.20811147549563.44516666666670.9805019790132951.10803878087751
4474.61770.560844013900165.904751.070648838117131.05748451627507
4575.9471.414624026183568.68345833333331.039764533690131.06336763702848
4672.76276.590075354992371.88041666666671.065520748302920.950018650102519
4775.62171.486359952444775.09766666666670.9519118652480731.0578381673134
4873.00867.144076736473378.66779166666670.8535141932161771.0873334409905
4974.19674.415830012440682.63741666666670.9005101201627670.997045924067448
5078.87875.562280559407586.06954166666670.8779212610664051.0438806163081
5183.81288.264620244476589.35033333333330.9878488076277630.949553737022337
5291.624100.48030363238793.5731.073817272422460.911860301847928
5389.388109.1500793064598.66158333333331.10630780105850.818945808999678
54110.41113.874849852385104.3065416666671.091732580074380.969573177423488
55113.857NANA0.980501979013295NA
56112.06NANA1.07064883811713NA
57117.236NANA1.03976453369013NA
58132.81NANA1.06552074830292NA
59137.699NANA0.951911865248073NA
60146.409NANA0.853514193216177NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 89.924 & NA & NA & 0.900510120162767 & NA \tabularnewline
2 & 31.795 & NA & NA & 0.877921261066405 & NA \tabularnewline
3 & 27.922 & NA & NA & 0.987848807627763 & NA \tabularnewline
4 & 59.954 & NA & NA & 1.07381727242246 & NA \tabularnewline
5 & 52.15 & NA & NA & 1.1063078010585 & NA \tabularnewline
6 & 39.964 & NA & NA & 1.09173258007438 & NA \tabularnewline
7 & 34.604 & 46.116848372413 & 47.0339166666667 & 0.980501979013295 & 0.750354831721328 \tabularnewline
8 & 51.106 & 48.4214766252632 & 45.2262916666667 & 1.07064883811713 & 1.05544075814772 \tabularnewline
9 & 52.593 & 48.2860584152581 & 46.4394166666667 & 1.03976453369013 & 1.08919637937109 \tabularnewline
10 & 68.794 & 51.1449959185401 & 48 & 1.06552074830292 & 1.3450778275468 \tabularnewline
11 & 47.124 & 47.7866102433634 & 50.2006666666667 & 0.951911865248073 & 0.986133976861114 \tabularnewline
12 & 32.315 & 45.7269162122825 & 53.574875 & 0.853514193216177 & 0.706695370621122 \tabularnewline
13 & 42.248 & 51.1440220195843 & 56.7945 & 0.900510120162767 & 0.826059397202321 \tabularnewline
14 & 36.088 & 51.6564846205693 & 58.8395416666667 & 0.877921261066405 & 0.698615096731341 \tabularnewline
15 & 52.744 & 58.8298951254269 & 59.5535416666667 & 0.987848807627763 & 0.896550977824257 \tabularnewline
16 & 72.586 & 63.5459558659394 & 59.177625 & 1.07381727242246 & 1.14225994417539 \tabularnewline
17 & 92.334 & 65.5363373461129 & 59.2387916666667 & 1.1063078010585 & 1.40889777700518 \tabularnewline
18 & 80.761 & 66.7386588636692 & 61.1309583333333 & 1.09173258007438 & 1.21010822475434 \tabularnewline
19 & 71.078 & 62.007026861299 & 63.2400833333333 & 0.980501979013295 & 1.14628943843722 \tabularnewline
20 & 63.713 & 69.8665282423811 & 65.25625 & 1.07064883811713 & 0.911924516686542 \tabularnewline
21 & 57.122 & 69.8996437770747 & 67.2264166666667 & 1.03976453369013 & 0.817200158875982 \tabularnewline
22 & 55.243 & 72.3602243644167 & 67.9106666666667 & 1.06552074830292 & 0.763444288422713 \tabularnewline
23 & 62.143 & 63.2048060507752 & 66.39775 & 0.951911865248073 & 0.983200548864556 \tabularnewline
24 & 62.708 & 54.5706035252919 & 63.936375 & 0.853514193216177 & 1.14911684953121 \tabularnewline
25 & 62.474 & 55.9264061402387 & 62.10525 & 0.900510120162767 & 1.11707517631909 \tabularnewline
26 & 64.25 & 53.5233110221219 & 60.9659583333333 & 0.877921261066405 & 1.20041153607714 \tabularnewline
27 & 71.866 & 59.7605721833133 & 60.4956666666667 & 0.987848807627763 & 1.20256546037668 \tabularnewline
28 & 69.886 & 64.5866637724622 & 60.1467916666667 & 1.07381727242246 & 1.08205000719974 \tabularnewline
29 & 58.724 & 65.460877934849 & 59.1705833333333 & 1.1063078010585 & 0.897085432591448 \tabularnewline
30 & 55.298 & 62.9365181981302 & 57.6482916666667 & 1.09173258007438 & 0.878631382592799 \tabularnewline
31 & 52.594 & 55.1138528233408 & 56.2098333333333 & 0.980501979013295 & 0.954279138651079 \tabularnewline
32 & 54.854 & 58.7231259145215 & 54.8481666666667 & 1.07064883811713 & 0.934112398577803 \tabularnewline
33 & 54.694 & 55.2912553433842 & 53.1767083333333 & 1.03976453369013 & 0.989198014411593 \tabularnewline
34 & 49.298 & 54.7499189902359 & 51.38325 & 1.06552074830292 & 0.900421423615106 \tabularnewline
35 & 44.659 & 47.9282071333191 & 50.3494166666667 & 0.951911865248073 & 0.931789496648074 \tabularnewline
36 & 43.657 & 42.9772491126538 & 50.3532916666667 & 0.853514193216177 & 1.01581652854431 \tabularnewline
37 & 47.002 & 46.135497295004 & 51.232625 & 0.900510120162767 & 1.01878169209829 \tabularnewline
38 & 47.042 & 46.2986774844912 & 52.7367083333333 & 0.877921261066405 & 1.01605494057056 \tabularnewline
39 & 48.959 & 53.7838399349634 & 54.4454166666667 & 0.987848807627763 & 0.910292014463867 \tabularnewline
40 & 49.75 & 60.4648609146549 & 56.3083333333333 & 1.07381727242246 & 0.822791936464077 \tabularnewline
41 & 54.048 & 64.8031779471197 & 58.5760833333333 & 1.1063078010585 & 0.834033171090836 \tabularnewline
42 & 60.067 & 66.6929880507361 & 61.089125 & 1.09173258007438 & 0.900649404916519 \tabularnewline
43 & 68.929 & 62.208111475495 & 63.4451666666667 & 0.980501979013295 & 1.10803878087751 \tabularnewline
44 & 74.617 & 70.5608440139001 & 65.90475 & 1.07064883811713 & 1.05748451627507 \tabularnewline
45 & 75.94 & 71.4146240261835 & 68.6834583333333 & 1.03976453369013 & 1.06336763702848 \tabularnewline
46 & 72.762 & 76.5900753549923 & 71.8804166666667 & 1.06552074830292 & 0.950018650102519 \tabularnewline
47 & 75.621 & 71.4863599524447 & 75.0976666666667 & 0.951911865248073 & 1.0578381673134 \tabularnewline
48 & 73.008 & 67.1440767364733 & 78.6677916666667 & 0.853514193216177 & 1.0873334409905 \tabularnewline
49 & 74.196 & 74.4158300124406 & 82.6374166666667 & 0.900510120162767 & 0.997045924067448 \tabularnewline
50 & 78.878 & 75.5622805594075 & 86.0695416666667 & 0.877921261066405 & 1.0438806163081 \tabularnewline
51 & 83.812 & 88.2646202444765 & 89.3503333333333 & 0.987848807627763 & 0.949553737022337 \tabularnewline
52 & 91.624 & 100.480303632387 & 93.573 & 1.07381727242246 & 0.911860301847928 \tabularnewline
53 & 89.388 & 109.15007930645 & 98.6615833333333 & 1.1063078010585 & 0.818945808999678 \tabularnewline
54 & 110.41 & 113.874849852385 & 104.306541666667 & 1.09173258007438 & 0.969573177423488 \tabularnewline
55 & 113.857 & NA & NA & 0.980501979013295 & NA \tabularnewline
56 & 112.06 & NA & NA & 1.07064883811713 & NA \tabularnewline
57 & 117.236 & NA & NA & 1.03976453369013 & NA \tabularnewline
58 & 132.81 & NA & NA & 1.06552074830292 & NA \tabularnewline
59 & 137.699 & NA & NA & 0.951911865248073 & NA \tabularnewline
60 & 146.409 & NA & NA & 0.853514193216177 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147276&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]89.924[/C][C]NA[/C][C]NA[/C][C]0.900510120162767[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]31.795[/C][C]NA[/C][C]NA[/C][C]0.877921261066405[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]27.922[/C][C]NA[/C][C]NA[/C][C]0.987848807627763[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]59.954[/C][C]NA[/C][C]NA[/C][C]1.07381727242246[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]52.15[/C][C]NA[/C][C]NA[/C][C]1.1063078010585[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]39.964[/C][C]NA[/C][C]NA[/C][C]1.09173258007438[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]34.604[/C][C]46.116848372413[/C][C]47.0339166666667[/C][C]0.980501979013295[/C][C]0.750354831721328[/C][/ROW]
[ROW][C]8[/C][C]51.106[/C][C]48.4214766252632[/C][C]45.2262916666667[/C][C]1.07064883811713[/C][C]1.05544075814772[/C][/ROW]
[ROW][C]9[/C][C]52.593[/C][C]48.2860584152581[/C][C]46.4394166666667[/C][C]1.03976453369013[/C][C]1.08919637937109[/C][/ROW]
[ROW][C]10[/C][C]68.794[/C][C]51.1449959185401[/C][C]48[/C][C]1.06552074830292[/C][C]1.3450778275468[/C][/ROW]
[ROW][C]11[/C][C]47.124[/C][C]47.7866102433634[/C][C]50.2006666666667[/C][C]0.951911865248073[/C][C]0.986133976861114[/C][/ROW]
[ROW][C]12[/C][C]32.315[/C][C]45.7269162122825[/C][C]53.574875[/C][C]0.853514193216177[/C][C]0.706695370621122[/C][/ROW]
[ROW][C]13[/C][C]42.248[/C][C]51.1440220195843[/C][C]56.7945[/C][C]0.900510120162767[/C][C]0.826059397202321[/C][/ROW]
[ROW][C]14[/C][C]36.088[/C][C]51.6564846205693[/C][C]58.8395416666667[/C][C]0.877921261066405[/C][C]0.698615096731341[/C][/ROW]
[ROW][C]15[/C][C]52.744[/C][C]58.8298951254269[/C][C]59.5535416666667[/C][C]0.987848807627763[/C][C]0.896550977824257[/C][/ROW]
[ROW][C]16[/C][C]72.586[/C][C]63.5459558659394[/C][C]59.177625[/C][C]1.07381727242246[/C][C]1.14225994417539[/C][/ROW]
[ROW][C]17[/C][C]92.334[/C][C]65.5363373461129[/C][C]59.2387916666667[/C][C]1.1063078010585[/C][C]1.40889777700518[/C][/ROW]
[ROW][C]18[/C][C]80.761[/C][C]66.7386588636692[/C][C]61.1309583333333[/C][C]1.09173258007438[/C][C]1.21010822475434[/C][/ROW]
[ROW][C]19[/C][C]71.078[/C][C]62.007026861299[/C][C]63.2400833333333[/C][C]0.980501979013295[/C][C]1.14628943843722[/C][/ROW]
[ROW][C]20[/C][C]63.713[/C][C]69.8665282423811[/C][C]65.25625[/C][C]1.07064883811713[/C][C]0.911924516686542[/C][/ROW]
[ROW][C]21[/C][C]57.122[/C][C]69.8996437770747[/C][C]67.2264166666667[/C][C]1.03976453369013[/C][C]0.817200158875982[/C][/ROW]
[ROW][C]22[/C][C]55.243[/C][C]72.3602243644167[/C][C]67.9106666666667[/C][C]1.06552074830292[/C][C]0.763444288422713[/C][/ROW]
[ROW][C]23[/C][C]62.143[/C][C]63.2048060507752[/C][C]66.39775[/C][C]0.951911865248073[/C][C]0.983200548864556[/C][/ROW]
[ROW][C]24[/C][C]62.708[/C][C]54.5706035252919[/C][C]63.936375[/C][C]0.853514193216177[/C][C]1.14911684953121[/C][/ROW]
[ROW][C]25[/C][C]62.474[/C][C]55.9264061402387[/C][C]62.10525[/C][C]0.900510120162767[/C][C]1.11707517631909[/C][/ROW]
[ROW][C]26[/C][C]64.25[/C][C]53.5233110221219[/C][C]60.9659583333333[/C][C]0.877921261066405[/C][C]1.20041153607714[/C][/ROW]
[ROW][C]27[/C][C]71.866[/C][C]59.7605721833133[/C][C]60.4956666666667[/C][C]0.987848807627763[/C][C]1.20256546037668[/C][/ROW]
[ROW][C]28[/C][C]69.886[/C][C]64.5866637724622[/C][C]60.1467916666667[/C][C]1.07381727242246[/C][C]1.08205000719974[/C][/ROW]
[ROW][C]29[/C][C]58.724[/C][C]65.460877934849[/C][C]59.1705833333333[/C][C]1.1063078010585[/C][C]0.897085432591448[/C][/ROW]
[ROW][C]30[/C][C]55.298[/C][C]62.9365181981302[/C][C]57.6482916666667[/C][C]1.09173258007438[/C][C]0.878631382592799[/C][/ROW]
[ROW][C]31[/C][C]52.594[/C][C]55.1138528233408[/C][C]56.2098333333333[/C][C]0.980501979013295[/C][C]0.954279138651079[/C][/ROW]
[ROW][C]32[/C][C]54.854[/C][C]58.7231259145215[/C][C]54.8481666666667[/C][C]1.07064883811713[/C][C]0.934112398577803[/C][/ROW]
[ROW][C]33[/C][C]54.694[/C][C]55.2912553433842[/C][C]53.1767083333333[/C][C]1.03976453369013[/C][C]0.989198014411593[/C][/ROW]
[ROW][C]34[/C][C]49.298[/C][C]54.7499189902359[/C][C]51.38325[/C][C]1.06552074830292[/C][C]0.900421423615106[/C][/ROW]
[ROW][C]35[/C][C]44.659[/C][C]47.9282071333191[/C][C]50.3494166666667[/C][C]0.951911865248073[/C][C]0.931789496648074[/C][/ROW]
[ROW][C]36[/C][C]43.657[/C][C]42.9772491126538[/C][C]50.3532916666667[/C][C]0.853514193216177[/C][C]1.01581652854431[/C][/ROW]
[ROW][C]37[/C][C]47.002[/C][C]46.135497295004[/C][C]51.232625[/C][C]0.900510120162767[/C][C]1.01878169209829[/C][/ROW]
[ROW][C]38[/C][C]47.042[/C][C]46.2986774844912[/C][C]52.7367083333333[/C][C]0.877921261066405[/C][C]1.01605494057056[/C][/ROW]
[ROW][C]39[/C][C]48.959[/C][C]53.7838399349634[/C][C]54.4454166666667[/C][C]0.987848807627763[/C][C]0.910292014463867[/C][/ROW]
[ROW][C]40[/C][C]49.75[/C][C]60.4648609146549[/C][C]56.3083333333333[/C][C]1.07381727242246[/C][C]0.822791936464077[/C][/ROW]
[ROW][C]41[/C][C]54.048[/C][C]64.8031779471197[/C][C]58.5760833333333[/C][C]1.1063078010585[/C][C]0.834033171090836[/C][/ROW]
[ROW][C]42[/C][C]60.067[/C][C]66.6929880507361[/C][C]61.089125[/C][C]1.09173258007438[/C][C]0.900649404916519[/C][/ROW]
[ROW][C]43[/C][C]68.929[/C][C]62.208111475495[/C][C]63.4451666666667[/C][C]0.980501979013295[/C][C]1.10803878087751[/C][/ROW]
[ROW][C]44[/C][C]74.617[/C][C]70.5608440139001[/C][C]65.90475[/C][C]1.07064883811713[/C][C]1.05748451627507[/C][/ROW]
[ROW][C]45[/C][C]75.94[/C][C]71.4146240261835[/C][C]68.6834583333333[/C][C]1.03976453369013[/C][C]1.06336763702848[/C][/ROW]
[ROW][C]46[/C][C]72.762[/C][C]76.5900753549923[/C][C]71.8804166666667[/C][C]1.06552074830292[/C][C]0.950018650102519[/C][/ROW]
[ROW][C]47[/C][C]75.621[/C][C]71.4863599524447[/C][C]75.0976666666667[/C][C]0.951911865248073[/C][C]1.0578381673134[/C][/ROW]
[ROW][C]48[/C][C]73.008[/C][C]67.1440767364733[/C][C]78.6677916666667[/C][C]0.853514193216177[/C][C]1.0873334409905[/C][/ROW]
[ROW][C]49[/C][C]74.196[/C][C]74.4158300124406[/C][C]82.6374166666667[/C][C]0.900510120162767[/C][C]0.997045924067448[/C][/ROW]
[ROW][C]50[/C][C]78.878[/C][C]75.5622805594075[/C][C]86.0695416666667[/C][C]0.877921261066405[/C][C]1.0438806163081[/C][/ROW]
[ROW][C]51[/C][C]83.812[/C][C]88.2646202444765[/C][C]89.3503333333333[/C][C]0.987848807627763[/C][C]0.949553737022337[/C][/ROW]
[ROW][C]52[/C][C]91.624[/C][C]100.480303632387[/C][C]93.573[/C][C]1.07381727242246[/C][C]0.911860301847928[/C][/ROW]
[ROW][C]53[/C][C]89.388[/C][C]109.15007930645[/C][C]98.6615833333333[/C][C]1.1063078010585[/C][C]0.818945808999678[/C][/ROW]
[ROW][C]54[/C][C]110.41[/C][C]113.874849852385[/C][C]104.306541666667[/C][C]1.09173258007438[/C][C]0.969573177423488[/C][/ROW]
[ROW][C]55[/C][C]113.857[/C][C]NA[/C][C]NA[/C][C]0.980501979013295[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]112.06[/C][C]NA[/C][C]NA[/C][C]1.07064883811713[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]117.236[/C][C]NA[/C][C]NA[/C][C]1.03976453369013[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]132.81[/C][C]NA[/C][C]NA[/C][C]1.06552074830292[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]137.699[/C][C]NA[/C][C]NA[/C][C]0.951911865248073[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]146.409[/C][C]NA[/C][C]NA[/C][C]0.853514193216177[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147276&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147276&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
189.924NANA0.900510120162767NA
231.795NANA0.877921261066405NA
327.922NANA0.987848807627763NA
459.954NANA1.07381727242246NA
552.15NANA1.1063078010585NA
639.964NANA1.09173258007438NA
734.60446.11684837241347.03391666666670.9805019790132950.750354831721328
851.10648.421476625263245.22629166666671.070648838117131.05544075814772
952.59348.286058415258146.43941666666671.039764533690131.08919637937109
1068.79451.1449959185401481.065520748302921.3450778275468
1147.12447.786610243363450.20066666666670.9519118652480730.986133976861114
1232.31545.726916212282553.5748750.8535141932161770.706695370621122
1342.24851.144022019584356.79450.9005101201627670.826059397202321
1436.08851.656484620569358.83954166666670.8779212610664050.698615096731341
1552.74458.829895125426959.55354166666670.9878488076277630.896550977824257
1672.58663.545955865939459.1776251.073817272422461.14225994417539
1792.33465.536337346112959.23879166666671.10630780105851.40889777700518
1880.76166.738658863669261.13095833333331.091732580074381.21010822475434
1971.07862.00702686129963.24008333333330.9805019790132951.14628943843722
2063.71369.866528242381165.256251.070648838117130.911924516686542
2157.12269.899643777074767.22641666666671.039764533690130.817200158875982
2255.24372.360224364416767.91066666666671.065520748302920.763444288422713
2362.14363.204806050775266.397750.9519118652480730.983200548864556
2462.70854.570603525291963.9363750.8535141932161771.14911684953121
2562.47455.926406140238762.105250.9005101201627671.11707517631909
2664.2553.523311022121960.96595833333330.8779212610664051.20041153607714
2771.86659.760572183313360.49566666666670.9878488076277631.20256546037668
2869.88664.586663772462260.14679166666671.073817272422461.08205000719974
2958.72465.46087793484959.17058333333331.10630780105850.897085432591448
3055.29862.936518198130257.64829166666671.091732580074380.878631382592799
3152.59455.113852823340856.20983333333330.9805019790132950.954279138651079
3254.85458.723125914521554.84816666666671.070648838117130.934112398577803
3354.69455.291255343384253.17670833333331.039764533690130.989198014411593
3449.29854.749918990235951.383251.065520748302920.900421423615106
3544.65947.928207133319150.34941666666670.9519118652480730.931789496648074
3643.65742.977249112653850.35329166666670.8535141932161771.01581652854431
3747.00246.13549729500451.2326250.9005101201627671.01878169209829
3847.04246.298677484491252.73670833333330.8779212610664051.01605494057056
3948.95953.783839934963454.44541666666670.9878488076277630.910292014463867
4049.7560.464860914654956.30833333333331.073817272422460.822791936464077
4154.04864.803177947119758.57608333333331.10630780105850.834033171090836
4260.06766.692988050736161.0891251.091732580074380.900649404916519
4368.92962.20811147549563.44516666666670.9805019790132951.10803878087751
4474.61770.560844013900165.904751.070648838117131.05748451627507
4575.9471.414624026183568.68345833333331.039764533690131.06336763702848
4672.76276.590075354992371.88041666666671.065520748302920.950018650102519
4775.62171.486359952444775.09766666666670.9519118652480731.0578381673134
4873.00867.144076736473378.66779166666670.8535141932161771.0873334409905
4974.19674.415830012440682.63741666666670.9005101201627670.997045924067448
5078.87875.562280559407586.06954166666670.8779212610664051.0438806163081
5183.81288.264620244476589.35033333333330.9878488076277630.949553737022337
5291.624100.48030363238793.5731.073817272422460.911860301847928
5389.388109.1500793064598.66158333333331.10630780105850.818945808999678
54110.41113.874849852385104.3065416666671.091732580074380.969573177423488
55113.857NANA0.980501979013295NA
56112.06NANA1.07064883811713NA
57117.236NANA1.03976453369013NA
58132.81NANA1.06552074830292NA
59137.699NANA0.951911865248073NA
60146.409NANA0.853514193216177NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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')