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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 Dec 2009 07:05:31 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259935669xerbhcbvm68fxna.htm/, Retrieved Sun, 28 Apr 2024 07:34:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63554, Retrieved Sun, 28 Apr 2024 07:34:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D      [Classical Decomposition] [WS 9 Classical De...] [2009-12-04 14:05:31] [eba9f01697e64705b70041e6f338cb22] [Current]
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Dataseries X:
98,8
100,5
110,4
96,4
101,9
106,2
81
94,7
101
109,4
102,3
90,7
96,2
96,1
106
103,1
102
104,7
86
92,1
106,9
112,6
101,7
92
97,4
97
105,4
102,7
98,1
104,5
87,4
89,9
109,8
111,7
98,6
96,9
95,1
97
112,7
102,9
97,4
111,4
87,4
96,8
114,1
110,3
103,9
101,6
94,6
95,9
104,7
102,8
98,1
113,9
80,9
95,7
113,2
105,9
108,8
102,3
99
100,7
115,5
100,7
109,9
114,6
85,4
100,5
114,8
116,5
112,9
102
106
105,3
118,8
106,1
109,3
117,2
92,5
104,2
112,5
122,4
113,3
100
110,7
112,8
109,8
117,3
109,1
115,9
96
99,8
116,8
115,7
99,4
94,3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63554&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63554&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63554&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
198.8NANA0.964989564232974NA
2100.5NANA0.971818484774287NA
3110.4NANA1.06541920173552NA
496.4NANA1.01252753388232NA
5101.9NANA0.995781731101289NA
6106.2NANA1.07618654582335NA
78183.023477414654599.33333333333330.8358068196106160.975627648013966
894.792.709733900664899.04166666666670.936067990583071.02146771450631
9101105.83961423567798.6751.072608201020290.954274075254087
10109.4108.06130603906998.77083333333331.094060892190531.01238828226310
11102.3101.66215501445599.05416666666671.026328911095321.00627416353170
1290.793.88805658724398.99583333333330.9484041239504310.966044066698936
1396.295.670673713997599.14166666666670.9649895642329741.00553279563584
1496.196.444886126474999.24166666666670.9718184847742870.996424008152981
15106105.88047241914199.37916666666671.065419201735521.00112889164667
16103.1101.00805923421199.75833333333331.012527533882321.02071063221736
1710299.445402212648799.86666666666670.9957817311012891.02568844542344
18104.7107.50655181714699.89583333333331.076186545823350.97389413231373
198683.58068196106161000.8358068196106161.02894589972436
2092.193.6887050074829100.08750.936067990583070.983042726363268
21106.9107.368080922131100.11.072608201020290.995640408973404
22112.6109.469909437764100.0583333333331.094060892190531.02859315932855
23101.7102.50887636610899.87916666666671.026328911095320.992109206589881
249294.563794525557699.70833333333330.9484041239504310.972888201679929
2597.496.26575061194199.75833333333330.9649895642329741.01178248110931
269796.914598394115899.7250.9718184847742871.00088120476481
27105.4106.28000461979299.75416666666671.065419201735520.991719941837228
28102.7101.08821766397699.83751.012527533882321.01594431451330
2998.199.250394956974799.67083333333330.9957817311012890.98840916494616
30104.5107.34512383527299.74583333333331.076186545823350.97349554657333
3187.483.45879346653599.85416666666670.8358068196106161.04722338257916
3289.993.380582627249499.75833333333330.936067990583070.962726912498041
33109.8107.327858114593100.06251.072608201020291.02303355278709
34111.7109.816362053624100.3751.094060892190531.01715261652408
3598.6102.996382598879100.3541666666671.026328911095320.957315174689188
3696.995.4213099209628100.61250.9484041239504311.01549643449940
3795.197.3674470311071100.90.9649895642329740.976712473211065
389798.3358829280982101.18750.9718184847742870.986415102114098
39112.7108.304301103089101.6541666666671.065419201735521.04058655890985
40102.9103.049989760873101.7751.012527533882320.998544495140453
4197.4101.507500214138101.93750.9957817311012890.959535007704135
42111.4110.152177075628102.3541666666671.076186545823351.01132817305568
4387.485.6945767089934102.5291666666670.8358068196106161.01990118110739
4496.895.9118664851177102.46250.936067990583071.00925989189273
45114.1109.495420520821102.0833333333331.072608201020291.04205271286486
46110.3111.316137193335101.7458333333331.094060892190530.990871609283651
47103.9104.450348556264101.7708333333331.026328911095320.99473100316207
48101.696.6463319143987101.9041666666670.9484041239504311.05125562437267
4994.698.1756257911522101.73750.9649895642329740.963579292086627
5095.998.5626405745455101.4208333333330.9718184847742870.972985295858306
51104.7107.966918355873101.33751.065419201735520.969741487433172
52102.8102.383409134401101.1166666666671.012527533882321.00406892942051
5398.1100.710874829257101.13750.9957817311012890.97407554215289
54113.9109.093926972235101.3708333333331.076186545823351.04405445070273
5580.984.9040427587784101.5833333333330.8358068196106160.952840375691482
5695.795.4477327731203101.9666666666670.936067990583071.00264298815226
57113.2110.067478228032102.6166666666671.072608201020291.02846001218887
58105.9112.665478960370102.9791666666671.094060892190530.939950737148597
59108.8106.105303925405103.3833333333331.026328911095321.02539643142146
60102.398.5431401622996103.9041666666670.9484041239504311.03812401179334
6199100.475517585907104.1208333333330.9649895642329740.985314655536401
62100.7101.563130146286104.5083333333330.9718184847742870.991501540519252
63115.5111.629296861839104.7751.065419201735521.03467461721050
64100.7106.602273858910105.2833333333331.012527533882320.944632758333822
65109.9105.449136233080105.8958333333330.9957817311012891.04220863181925
66114.6114.134067295174106.0541666666671.076186545823351.00408232805391
6785.488.8741251519288106.3333333333330.8358068196106160.960909599436396
68100.599.9876625274482106.8166666666670.936067990583071.00512400689846
69114.8114.925499538486107.1458333333331.072608201020290.998907992229832
70116.5117.620663084583107.5083333333331.094060892190530.990472226093662
71112.9110.544176465892107.7083333333331.026328911095321.02131115007071
72102102.230061194157107.7916666666670.9484041239504310.99774957393677
73106104.407850060157108.1958333333330.9649895642329741.01524933172099
74105.3105.584029127040108.6458333333330.9718184847742870.99730992339099
75118.8115.815506475324108.7041666666671.065419201735521.02576937765507
76106.1110.217840927815108.8541666666671.012527533882320.962639071014718
77109.3108.656383225336109.1166666666670.9957817311012891.00592341430443
78117.2117.358142822037109.051.076186545823350.998652476784022
7992.591.2387619457438109.16250.8358068196106161.01382348935210
80104.2102.659356583904109.6708333333330.936067990583071.01500733559378
81112.5117.566797233499109.6083333333331.072608201020290.956902821606718
82122.4120.018479873301109.71.094060892190531.01984294526321
83113.3113.058682298076110.1583333333331.026328911095321.00213444643984
84100104.415342363093110.0958333333330.9484041239504310.957713662923799
85110.7106.329787608921110.18750.9649895642329741.04110054660461
86112.8107.045806097888110.150.9718184847742871.05375450110442
87109.8117.351485824493110.1458333333331.065419201735520.935650701212366
88117.3111.424436239025110.0458333333331.012527533882321.05273137526468
89109.1108.726917764622109.18750.9957817311012891.00343136955455
90115.9116.627232792998108.3708333333331.076186545823350.99376446842146
9196NANA0.835806819610616NA
9299.8NANA0.93606799058307NA
93116.8NANA1.07260820102029NA
94115.7NANA1.09406089219053NA
9599.4NANA1.02632891109532NA
9694.3NANA0.948404123950431NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 98.8 & NA & NA & 0.964989564232974 & NA \tabularnewline
2 & 100.5 & NA & NA & 0.971818484774287 & NA \tabularnewline
3 & 110.4 & NA & NA & 1.06541920173552 & NA \tabularnewline
4 & 96.4 & NA & NA & 1.01252753388232 & NA \tabularnewline
5 & 101.9 & NA & NA & 0.995781731101289 & NA \tabularnewline
6 & 106.2 & NA & NA & 1.07618654582335 & NA \tabularnewline
7 & 81 & 83.0234774146545 & 99.3333333333333 & 0.835806819610616 & 0.975627648013966 \tabularnewline
8 & 94.7 & 92.7097339006648 & 99.0416666666667 & 0.93606799058307 & 1.02146771450631 \tabularnewline
9 & 101 & 105.839614235677 & 98.675 & 1.07260820102029 & 0.954274075254087 \tabularnewline
10 & 109.4 & 108.061306039069 & 98.7708333333333 & 1.09406089219053 & 1.01238828226310 \tabularnewline
11 & 102.3 & 101.662155014455 & 99.0541666666667 & 1.02632891109532 & 1.00627416353170 \tabularnewline
12 & 90.7 & 93.888056587243 & 98.9958333333333 & 0.948404123950431 & 0.966044066698936 \tabularnewline
13 & 96.2 & 95.6706737139975 & 99.1416666666667 & 0.964989564232974 & 1.00553279563584 \tabularnewline
14 & 96.1 & 96.4448861264749 & 99.2416666666667 & 0.971818484774287 & 0.996424008152981 \tabularnewline
15 & 106 & 105.880472419141 & 99.3791666666667 & 1.06541920173552 & 1.00112889164667 \tabularnewline
16 & 103.1 & 101.008059234211 & 99.7583333333333 & 1.01252753388232 & 1.02071063221736 \tabularnewline
17 & 102 & 99.4454022126487 & 99.8666666666667 & 0.995781731101289 & 1.02568844542344 \tabularnewline
18 & 104.7 & 107.506551817146 & 99.8958333333333 & 1.07618654582335 & 0.97389413231373 \tabularnewline
19 & 86 & 83.5806819610616 & 100 & 0.835806819610616 & 1.02894589972436 \tabularnewline
20 & 92.1 & 93.6887050074829 & 100.0875 & 0.93606799058307 & 0.983042726363268 \tabularnewline
21 & 106.9 & 107.368080922131 & 100.1 & 1.07260820102029 & 0.995640408973404 \tabularnewline
22 & 112.6 & 109.469909437764 & 100.058333333333 & 1.09406089219053 & 1.02859315932855 \tabularnewline
23 & 101.7 & 102.508876366108 & 99.8791666666667 & 1.02632891109532 & 0.992109206589881 \tabularnewline
24 & 92 & 94.5637945255576 & 99.7083333333333 & 0.948404123950431 & 0.972888201679929 \tabularnewline
25 & 97.4 & 96.265750611941 & 99.7583333333333 & 0.964989564232974 & 1.01178248110931 \tabularnewline
26 & 97 & 96.9145983941158 & 99.725 & 0.971818484774287 & 1.00088120476481 \tabularnewline
27 & 105.4 & 106.280004619792 & 99.7541666666667 & 1.06541920173552 & 0.991719941837228 \tabularnewline
28 & 102.7 & 101.088217663976 & 99.8375 & 1.01252753388232 & 1.01594431451330 \tabularnewline
29 & 98.1 & 99.2503949569747 & 99.6708333333333 & 0.995781731101289 & 0.98840916494616 \tabularnewline
30 & 104.5 & 107.345123835272 & 99.7458333333333 & 1.07618654582335 & 0.97349554657333 \tabularnewline
31 & 87.4 & 83.458793466535 & 99.8541666666667 & 0.835806819610616 & 1.04722338257916 \tabularnewline
32 & 89.9 & 93.3805826272494 & 99.7583333333333 & 0.93606799058307 & 0.962726912498041 \tabularnewline
33 & 109.8 & 107.327858114593 & 100.0625 & 1.07260820102029 & 1.02303355278709 \tabularnewline
34 & 111.7 & 109.816362053624 & 100.375 & 1.09406089219053 & 1.01715261652408 \tabularnewline
35 & 98.6 & 102.996382598879 & 100.354166666667 & 1.02632891109532 & 0.957315174689188 \tabularnewline
36 & 96.9 & 95.4213099209628 & 100.6125 & 0.948404123950431 & 1.01549643449940 \tabularnewline
37 & 95.1 & 97.3674470311071 & 100.9 & 0.964989564232974 & 0.976712473211065 \tabularnewline
38 & 97 & 98.3358829280982 & 101.1875 & 0.971818484774287 & 0.986415102114098 \tabularnewline
39 & 112.7 & 108.304301103089 & 101.654166666667 & 1.06541920173552 & 1.04058655890985 \tabularnewline
40 & 102.9 & 103.049989760873 & 101.775 & 1.01252753388232 & 0.998544495140453 \tabularnewline
41 & 97.4 & 101.507500214138 & 101.9375 & 0.995781731101289 & 0.959535007704135 \tabularnewline
42 & 111.4 & 110.152177075628 & 102.354166666667 & 1.07618654582335 & 1.01132817305568 \tabularnewline
43 & 87.4 & 85.6945767089934 & 102.529166666667 & 0.835806819610616 & 1.01990118110739 \tabularnewline
44 & 96.8 & 95.9118664851177 & 102.4625 & 0.93606799058307 & 1.00925989189273 \tabularnewline
45 & 114.1 & 109.495420520821 & 102.083333333333 & 1.07260820102029 & 1.04205271286486 \tabularnewline
46 & 110.3 & 111.316137193335 & 101.745833333333 & 1.09406089219053 & 0.990871609283651 \tabularnewline
47 & 103.9 & 104.450348556264 & 101.770833333333 & 1.02632891109532 & 0.99473100316207 \tabularnewline
48 & 101.6 & 96.6463319143987 & 101.904166666667 & 0.948404123950431 & 1.05125562437267 \tabularnewline
49 & 94.6 & 98.1756257911522 & 101.7375 & 0.964989564232974 & 0.963579292086627 \tabularnewline
50 & 95.9 & 98.5626405745455 & 101.420833333333 & 0.971818484774287 & 0.972985295858306 \tabularnewline
51 & 104.7 & 107.966918355873 & 101.3375 & 1.06541920173552 & 0.969741487433172 \tabularnewline
52 & 102.8 & 102.383409134401 & 101.116666666667 & 1.01252753388232 & 1.00406892942051 \tabularnewline
53 & 98.1 & 100.710874829257 & 101.1375 & 0.995781731101289 & 0.97407554215289 \tabularnewline
54 & 113.9 & 109.093926972235 & 101.370833333333 & 1.07618654582335 & 1.04405445070273 \tabularnewline
55 & 80.9 & 84.9040427587784 & 101.583333333333 & 0.835806819610616 & 0.952840375691482 \tabularnewline
56 & 95.7 & 95.4477327731203 & 101.966666666667 & 0.93606799058307 & 1.00264298815226 \tabularnewline
57 & 113.2 & 110.067478228032 & 102.616666666667 & 1.07260820102029 & 1.02846001218887 \tabularnewline
58 & 105.9 & 112.665478960370 & 102.979166666667 & 1.09406089219053 & 0.939950737148597 \tabularnewline
59 & 108.8 & 106.105303925405 & 103.383333333333 & 1.02632891109532 & 1.02539643142146 \tabularnewline
60 & 102.3 & 98.5431401622996 & 103.904166666667 & 0.948404123950431 & 1.03812401179334 \tabularnewline
61 & 99 & 100.475517585907 & 104.120833333333 & 0.964989564232974 & 0.985314655536401 \tabularnewline
62 & 100.7 & 101.563130146286 & 104.508333333333 & 0.971818484774287 & 0.991501540519252 \tabularnewline
63 & 115.5 & 111.629296861839 & 104.775 & 1.06541920173552 & 1.03467461721050 \tabularnewline
64 & 100.7 & 106.602273858910 & 105.283333333333 & 1.01252753388232 & 0.944632758333822 \tabularnewline
65 & 109.9 & 105.449136233080 & 105.895833333333 & 0.995781731101289 & 1.04220863181925 \tabularnewline
66 & 114.6 & 114.134067295174 & 106.054166666667 & 1.07618654582335 & 1.00408232805391 \tabularnewline
67 & 85.4 & 88.8741251519288 & 106.333333333333 & 0.835806819610616 & 0.960909599436396 \tabularnewline
68 & 100.5 & 99.9876625274482 & 106.816666666667 & 0.93606799058307 & 1.00512400689846 \tabularnewline
69 & 114.8 & 114.925499538486 & 107.145833333333 & 1.07260820102029 & 0.998907992229832 \tabularnewline
70 & 116.5 & 117.620663084583 & 107.508333333333 & 1.09406089219053 & 0.990472226093662 \tabularnewline
71 & 112.9 & 110.544176465892 & 107.708333333333 & 1.02632891109532 & 1.02131115007071 \tabularnewline
72 & 102 & 102.230061194157 & 107.791666666667 & 0.948404123950431 & 0.99774957393677 \tabularnewline
73 & 106 & 104.407850060157 & 108.195833333333 & 0.964989564232974 & 1.01524933172099 \tabularnewline
74 & 105.3 & 105.584029127040 & 108.645833333333 & 0.971818484774287 & 0.99730992339099 \tabularnewline
75 & 118.8 & 115.815506475324 & 108.704166666667 & 1.06541920173552 & 1.02576937765507 \tabularnewline
76 & 106.1 & 110.217840927815 & 108.854166666667 & 1.01252753388232 & 0.962639071014718 \tabularnewline
77 & 109.3 & 108.656383225336 & 109.116666666667 & 0.995781731101289 & 1.00592341430443 \tabularnewline
78 & 117.2 & 117.358142822037 & 109.05 & 1.07618654582335 & 0.998652476784022 \tabularnewline
79 & 92.5 & 91.2387619457438 & 109.1625 & 0.835806819610616 & 1.01382348935210 \tabularnewline
80 & 104.2 & 102.659356583904 & 109.670833333333 & 0.93606799058307 & 1.01500733559378 \tabularnewline
81 & 112.5 & 117.566797233499 & 109.608333333333 & 1.07260820102029 & 0.956902821606718 \tabularnewline
82 & 122.4 & 120.018479873301 & 109.7 & 1.09406089219053 & 1.01984294526321 \tabularnewline
83 & 113.3 & 113.058682298076 & 110.158333333333 & 1.02632891109532 & 1.00213444643984 \tabularnewline
84 & 100 & 104.415342363093 & 110.095833333333 & 0.948404123950431 & 0.957713662923799 \tabularnewline
85 & 110.7 & 106.329787608921 & 110.1875 & 0.964989564232974 & 1.04110054660461 \tabularnewline
86 & 112.8 & 107.045806097888 & 110.15 & 0.971818484774287 & 1.05375450110442 \tabularnewline
87 & 109.8 & 117.351485824493 & 110.145833333333 & 1.06541920173552 & 0.935650701212366 \tabularnewline
88 & 117.3 & 111.424436239025 & 110.045833333333 & 1.01252753388232 & 1.05273137526468 \tabularnewline
89 & 109.1 & 108.726917764622 & 109.1875 & 0.995781731101289 & 1.00343136955455 \tabularnewline
90 & 115.9 & 116.627232792998 & 108.370833333333 & 1.07618654582335 & 0.99376446842146 \tabularnewline
91 & 96 & NA & NA & 0.835806819610616 & NA \tabularnewline
92 & 99.8 & NA & NA & 0.93606799058307 & NA \tabularnewline
93 & 116.8 & NA & NA & 1.07260820102029 & NA \tabularnewline
94 & 115.7 & NA & NA & 1.09406089219053 & NA \tabularnewline
95 & 99.4 & NA & NA & 1.02632891109532 & NA \tabularnewline
96 & 94.3 & NA & NA & 0.948404123950431 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63554&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]98.8[/C][C]NA[/C][C]NA[/C][C]0.964989564232974[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]100.5[/C][C]NA[/C][C]NA[/C][C]0.971818484774287[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]110.4[/C][C]NA[/C][C]NA[/C][C]1.06541920173552[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]96.4[/C][C]NA[/C][C]NA[/C][C]1.01252753388232[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.9[/C][C]NA[/C][C]NA[/C][C]0.995781731101289[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]106.2[/C][C]NA[/C][C]NA[/C][C]1.07618654582335[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]81[/C][C]83.0234774146545[/C][C]99.3333333333333[/C][C]0.835806819610616[/C][C]0.975627648013966[/C][/ROW]
[ROW][C]8[/C][C]94.7[/C][C]92.7097339006648[/C][C]99.0416666666667[/C][C]0.93606799058307[/C][C]1.02146771450631[/C][/ROW]
[ROW][C]9[/C][C]101[/C][C]105.839614235677[/C][C]98.675[/C][C]1.07260820102029[/C][C]0.954274075254087[/C][/ROW]
[ROW][C]10[/C][C]109.4[/C][C]108.061306039069[/C][C]98.7708333333333[/C][C]1.09406089219053[/C][C]1.01238828226310[/C][/ROW]
[ROW][C]11[/C][C]102.3[/C][C]101.662155014455[/C][C]99.0541666666667[/C][C]1.02632891109532[/C][C]1.00627416353170[/C][/ROW]
[ROW][C]12[/C][C]90.7[/C][C]93.888056587243[/C][C]98.9958333333333[/C][C]0.948404123950431[/C][C]0.966044066698936[/C][/ROW]
[ROW][C]13[/C][C]96.2[/C][C]95.6706737139975[/C][C]99.1416666666667[/C][C]0.964989564232974[/C][C]1.00553279563584[/C][/ROW]
[ROW][C]14[/C][C]96.1[/C][C]96.4448861264749[/C][C]99.2416666666667[/C][C]0.971818484774287[/C][C]0.996424008152981[/C][/ROW]
[ROW][C]15[/C][C]106[/C][C]105.880472419141[/C][C]99.3791666666667[/C][C]1.06541920173552[/C][C]1.00112889164667[/C][/ROW]
[ROW][C]16[/C][C]103.1[/C][C]101.008059234211[/C][C]99.7583333333333[/C][C]1.01252753388232[/C][C]1.02071063221736[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]99.4454022126487[/C][C]99.8666666666667[/C][C]0.995781731101289[/C][C]1.02568844542344[/C][/ROW]
[ROW][C]18[/C][C]104.7[/C][C]107.506551817146[/C][C]99.8958333333333[/C][C]1.07618654582335[/C][C]0.97389413231373[/C][/ROW]
[ROW][C]19[/C][C]86[/C][C]83.5806819610616[/C][C]100[/C][C]0.835806819610616[/C][C]1.02894589972436[/C][/ROW]
[ROW][C]20[/C][C]92.1[/C][C]93.6887050074829[/C][C]100.0875[/C][C]0.93606799058307[/C][C]0.983042726363268[/C][/ROW]
[ROW][C]21[/C][C]106.9[/C][C]107.368080922131[/C][C]100.1[/C][C]1.07260820102029[/C][C]0.995640408973404[/C][/ROW]
[ROW][C]22[/C][C]112.6[/C][C]109.469909437764[/C][C]100.058333333333[/C][C]1.09406089219053[/C][C]1.02859315932855[/C][/ROW]
[ROW][C]23[/C][C]101.7[/C][C]102.508876366108[/C][C]99.8791666666667[/C][C]1.02632891109532[/C][C]0.992109206589881[/C][/ROW]
[ROW][C]24[/C][C]92[/C][C]94.5637945255576[/C][C]99.7083333333333[/C][C]0.948404123950431[/C][C]0.972888201679929[/C][/ROW]
[ROW][C]25[/C][C]97.4[/C][C]96.265750611941[/C][C]99.7583333333333[/C][C]0.964989564232974[/C][C]1.01178248110931[/C][/ROW]
[ROW][C]26[/C][C]97[/C][C]96.9145983941158[/C][C]99.725[/C][C]0.971818484774287[/C][C]1.00088120476481[/C][/ROW]
[ROW][C]27[/C][C]105.4[/C][C]106.280004619792[/C][C]99.7541666666667[/C][C]1.06541920173552[/C][C]0.991719941837228[/C][/ROW]
[ROW][C]28[/C][C]102.7[/C][C]101.088217663976[/C][C]99.8375[/C][C]1.01252753388232[/C][C]1.01594431451330[/C][/ROW]
[ROW][C]29[/C][C]98.1[/C][C]99.2503949569747[/C][C]99.6708333333333[/C][C]0.995781731101289[/C][C]0.98840916494616[/C][/ROW]
[ROW][C]30[/C][C]104.5[/C][C]107.345123835272[/C][C]99.7458333333333[/C][C]1.07618654582335[/C][C]0.97349554657333[/C][/ROW]
[ROW][C]31[/C][C]87.4[/C][C]83.458793466535[/C][C]99.8541666666667[/C][C]0.835806819610616[/C][C]1.04722338257916[/C][/ROW]
[ROW][C]32[/C][C]89.9[/C][C]93.3805826272494[/C][C]99.7583333333333[/C][C]0.93606799058307[/C][C]0.962726912498041[/C][/ROW]
[ROW][C]33[/C][C]109.8[/C][C]107.327858114593[/C][C]100.0625[/C][C]1.07260820102029[/C][C]1.02303355278709[/C][/ROW]
[ROW][C]34[/C][C]111.7[/C][C]109.816362053624[/C][C]100.375[/C][C]1.09406089219053[/C][C]1.01715261652408[/C][/ROW]
[ROW][C]35[/C][C]98.6[/C][C]102.996382598879[/C][C]100.354166666667[/C][C]1.02632891109532[/C][C]0.957315174689188[/C][/ROW]
[ROW][C]36[/C][C]96.9[/C][C]95.4213099209628[/C][C]100.6125[/C][C]0.948404123950431[/C][C]1.01549643449940[/C][/ROW]
[ROW][C]37[/C][C]95.1[/C][C]97.3674470311071[/C][C]100.9[/C][C]0.964989564232974[/C][C]0.976712473211065[/C][/ROW]
[ROW][C]38[/C][C]97[/C][C]98.3358829280982[/C][C]101.1875[/C][C]0.971818484774287[/C][C]0.986415102114098[/C][/ROW]
[ROW][C]39[/C][C]112.7[/C][C]108.304301103089[/C][C]101.654166666667[/C][C]1.06541920173552[/C][C]1.04058655890985[/C][/ROW]
[ROW][C]40[/C][C]102.9[/C][C]103.049989760873[/C][C]101.775[/C][C]1.01252753388232[/C][C]0.998544495140453[/C][/ROW]
[ROW][C]41[/C][C]97.4[/C][C]101.507500214138[/C][C]101.9375[/C][C]0.995781731101289[/C][C]0.959535007704135[/C][/ROW]
[ROW][C]42[/C][C]111.4[/C][C]110.152177075628[/C][C]102.354166666667[/C][C]1.07618654582335[/C][C]1.01132817305568[/C][/ROW]
[ROW][C]43[/C][C]87.4[/C][C]85.6945767089934[/C][C]102.529166666667[/C][C]0.835806819610616[/C][C]1.01990118110739[/C][/ROW]
[ROW][C]44[/C][C]96.8[/C][C]95.9118664851177[/C][C]102.4625[/C][C]0.93606799058307[/C][C]1.00925989189273[/C][/ROW]
[ROW][C]45[/C][C]114.1[/C][C]109.495420520821[/C][C]102.083333333333[/C][C]1.07260820102029[/C][C]1.04205271286486[/C][/ROW]
[ROW][C]46[/C][C]110.3[/C][C]111.316137193335[/C][C]101.745833333333[/C][C]1.09406089219053[/C][C]0.990871609283651[/C][/ROW]
[ROW][C]47[/C][C]103.9[/C][C]104.450348556264[/C][C]101.770833333333[/C][C]1.02632891109532[/C][C]0.99473100316207[/C][/ROW]
[ROW][C]48[/C][C]101.6[/C][C]96.6463319143987[/C][C]101.904166666667[/C][C]0.948404123950431[/C][C]1.05125562437267[/C][/ROW]
[ROW][C]49[/C][C]94.6[/C][C]98.1756257911522[/C][C]101.7375[/C][C]0.964989564232974[/C][C]0.963579292086627[/C][/ROW]
[ROW][C]50[/C][C]95.9[/C][C]98.5626405745455[/C][C]101.420833333333[/C][C]0.971818484774287[/C][C]0.972985295858306[/C][/ROW]
[ROW][C]51[/C][C]104.7[/C][C]107.966918355873[/C][C]101.3375[/C][C]1.06541920173552[/C][C]0.969741487433172[/C][/ROW]
[ROW][C]52[/C][C]102.8[/C][C]102.383409134401[/C][C]101.116666666667[/C][C]1.01252753388232[/C][C]1.00406892942051[/C][/ROW]
[ROW][C]53[/C][C]98.1[/C][C]100.710874829257[/C][C]101.1375[/C][C]0.995781731101289[/C][C]0.97407554215289[/C][/ROW]
[ROW][C]54[/C][C]113.9[/C][C]109.093926972235[/C][C]101.370833333333[/C][C]1.07618654582335[/C][C]1.04405445070273[/C][/ROW]
[ROW][C]55[/C][C]80.9[/C][C]84.9040427587784[/C][C]101.583333333333[/C][C]0.835806819610616[/C][C]0.952840375691482[/C][/ROW]
[ROW][C]56[/C][C]95.7[/C][C]95.4477327731203[/C][C]101.966666666667[/C][C]0.93606799058307[/C][C]1.00264298815226[/C][/ROW]
[ROW][C]57[/C][C]113.2[/C][C]110.067478228032[/C][C]102.616666666667[/C][C]1.07260820102029[/C][C]1.02846001218887[/C][/ROW]
[ROW][C]58[/C][C]105.9[/C][C]112.665478960370[/C][C]102.979166666667[/C][C]1.09406089219053[/C][C]0.939950737148597[/C][/ROW]
[ROW][C]59[/C][C]108.8[/C][C]106.105303925405[/C][C]103.383333333333[/C][C]1.02632891109532[/C][C]1.02539643142146[/C][/ROW]
[ROW][C]60[/C][C]102.3[/C][C]98.5431401622996[/C][C]103.904166666667[/C][C]0.948404123950431[/C][C]1.03812401179334[/C][/ROW]
[ROW][C]61[/C][C]99[/C][C]100.475517585907[/C][C]104.120833333333[/C][C]0.964989564232974[/C][C]0.985314655536401[/C][/ROW]
[ROW][C]62[/C][C]100.7[/C][C]101.563130146286[/C][C]104.508333333333[/C][C]0.971818484774287[/C][C]0.991501540519252[/C][/ROW]
[ROW][C]63[/C][C]115.5[/C][C]111.629296861839[/C][C]104.775[/C][C]1.06541920173552[/C][C]1.03467461721050[/C][/ROW]
[ROW][C]64[/C][C]100.7[/C][C]106.602273858910[/C][C]105.283333333333[/C][C]1.01252753388232[/C][C]0.944632758333822[/C][/ROW]
[ROW][C]65[/C][C]109.9[/C][C]105.449136233080[/C][C]105.895833333333[/C][C]0.995781731101289[/C][C]1.04220863181925[/C][/ROW]
[ROW][C]66[/C][C]114.6[/C][C]114.134067295174[/C][C]106.054166666667[/C][C]1.07618654582335[/C][C]1.00408232805391[/C][/ROW]
[ROW][C]67[/C][C]85.4[/C][C]88.8741251519288[/C][C]106.333333333333[/C][C]0.835806819610616[/C][C]0.960909599436396[/C][/ROW]
[ROW][C]68[/C][C]100.5[/C][C]99.9876625274482[/C][C]106.816666666667[/C][C]0.93606799058307[/C][C]1.00512400689846[/C][/ROW]
[ROW][C]69[/C][C]114.8[/C][C]114.925499538486[/C][C]107.145833333333[/C][C]1.07260820102029[/C][C]0.998907992229832[/C][/ROW]
[ROW][C]70[/C][C]116.5[/C][C]117.620663084583[/C][C]107.508333333333[/C][C]1.09406089219053[/C][C]0.990472226093662[/C][/ROW]
[ROW][C]71[/C][C]112.9[/C][C]110.544176465892[/C][C]107.708333333333[/C][C]1.02632891109532[/C][C]1.02131115007071[/C][/ROW]
[ROW][C]72[/C][C]102[/C][C]102.230061194157[/C][C]107.791666666667[/C][C]0.948404123950431[/C][C]0.99774957393677[/C][/ROW]
[ROW][C]73[/C][C]106[/C][C]104.407850060157[/C][C]108.195833333333[/C][C]0.964989564232974[/C][C]1.01524933172099[/C][/ROW]
[ROW][C]74[/C][C]105.3[/C][C]105.584029127040[/C][C]108.645833333333[/C][C]0.971818484774287[/C][C]0.99730992339099[/C][/ROW]
[ROW][C]75[/C][C]118.8[/C][C]115.815506475324[/C][C]108.704166666667[/C][C]1.06541920173552[/C][C]1.02576937765507[/C][/ROW]
[ROW][C]76[/C][C]106.1[/C][C]110.217840927815[/C][C]108.854166666667[/C][C]1.01252753388232[/C][C]0.962639071014718[/C][/ROW]
[ROW][C]77[/C][C]109.3[/C][C]108.656383225336[/C][C]109.116666666667[/C][C]0.995781731101289[/C][C]1.00592341430443[/C][/ROW]
[ROW][C]78[/C][C]117.2[/C][C]117.358142822037[/C][C]109.05[/C][C]1.07618654582335[/C][C]0.998652476784022[/C][/ROW]
[ROW][C]79[/C][C]92.5[/C][C]91.2387619457438[/C][C]109.1625[/C][C]0.835806819610616[/C][C]1.01382348935210[/C][/ROW]
[ROW][C]80[/C][C]104.2[/C][C]102.659356583904[/C][C]109.670833333333[/C][C]0.93606799058307[/C][C]1.01500733559378[/C][/ROW]
[ROW][C]81[/C][C]112.5[/C][C]117.566797233499[/C][C]109.608333333333[/C][C]1.07260820102029[/C][C]0.956902821606718[/C][/ROW]
[ROW][C]82[/C][C]122.4[/C][C]120.018479873301[/C][C]109.7[/C][C]1.09406089219053[/C][C]1.01984294526321[/C][/ROW]
[ROW][C]83[/C][C]113.3[/C][C]113.058682298076[/C][C]110.158333333333[/C][C]1.02632891109532[/C][C]1.00213444643984[/C][/ROW]
[ROW][C]84[/C][C]100[/C][C]104.415342363093[/C][C]110.095833333333[/C][C]0.948404123950431[/C][C]0.957713662923799[/C][/ROW]
[ROW][C]85[/C][C]110.7[/C][C]106.329787608921[/C][C]110.1875[/C][C]0.964989564232974[/C][C]1.04110054660461[/C][/ROW]
[ROW][C]86[/C][C]112.8[/C][C]107.045806097888[/C][C]110.15[/C][C]0.971818484774287[/C][C]1.05375450110442[/C][/ROW]
[ROW][C]87[/C][C]109.8[/C][C]117.351485824493[/C][C]110.145833333333[/C][C]1.06541920173552[/C][C]0.935650701212366[/C][/ROW]
[ROW][C]88[/C][C]117.3[/C][C]111.424436239025[/C][C]110.045833333333[/C][C]1.01252753388232[/C][C]1.05273137526468[/C][/ROW]
[ROW][C]89[/C][C]109.1[/C][C]108.726917764622[/C][C]109.1875[/C][C]0.995781731101289[/C][C]1.00343136955455[/C][/ROW]
[ROW][C]90[/C][C]115.9[/C][C]116.627232792998[/C][C]108.370833333333[/C][C]1.07618654582335[/C][C]0.99376446842146[/C][/ROW]
[ROW][C]91[/C][C]96[/C][C]NA[/C][C]NA[/C][C]0.835806819610616[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]99.8[/C][C]NA[/C][C]NA[/C][C]0.93606799058307[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]116.8[/C][C]NA[/C][C]NA[/C][C]1.07260820102029[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]115.7[/C][C]NA[/C][C]NA[/C][C]1.09406089219053[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]99.4[/C][C]NA[/C][C]NA[/C][C]1.02632891109532[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]94.3[/C][C]NA[/C][C]NA[/C][C]0.948404123950431[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63554&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63554&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
198.8NANA0.964989564232974NA
2100.5NANA0.971818484774287NA
3110.4NANA1.06541920173552NA
496.4NANA1.01252753388232NA
5101.9NANA0.995781731101289NA
6106.2NANA1.07618654582335NA
78183.023477414654599.33333333333330.8358068196106160.975627648013966
894.792.709733900664899.04166666666670.936067990583071.02146771450631
9101105.83961423567798.6751.072608201020290.954274075254087
10109.4108.06130603906998.77083333333331.094060892190531.01238828226310
11102.3101.66215501445599.05416666666671.026328911095321.00627416353170
1290.793.88805658724398.99583333333330.9484041239504310.966044066698936
1396.295.670673713997599.14166666666670.9649895642329741.00553279563584
1496.196.444886126474999.24166666666670.9718184847742870.996424008152981
15106105.88047241914199.37916666666671.065419201735521.00112889164667
16103.1101.00805923421199.75833333333331.012527533882321.02071063221736
1710299.445402212648799.86666666666670.9957817311012891.02568844542344
18104.7107.50655181714699.89583333333331.076186545823350.97389413231373
198683.58068196106161000.8358068196106161.02894589972436
2092.193.6887050074829100.08750.936067990583070.983042726363268
21106.9107.368080922131100.11.072608201020290.995640408973404
22112.6109.469909437764100.0583333333331.094060892190531.02859315932855
23101.7102.50887636610899.87916666666671.026328911095320.992109206589881
249294.563794525557699.70833333333330.9484041239504310.972888201679929
2597.496.26575061194199.75833333333330.9649895642329741.01178248110931
269796.914598394115899.7250.9718184847742871.00088120476481
27105.4106.28000461979299.75416666666671.065419201735520.991719941837228
28102.7101.08821766397699.83751.012527533882321.01594431451330
2998.199.250394956974799.67083333333330.9957817311012890.98840916494616
30104.5107.34512383527299.74583333333331.076186545823350.97349554657333
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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')