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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 18 Aug 2009 14:42:53 -0600
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/Aug/18/t125062826614kyeoj0r1mrtgt.htm/, Retrieved Tue, 07 May 2024 04:28:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42882, Retrieved Tue, 07 May 2024 04:28:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Multiplicatief de...] [2009-08-18 20:42:53] [1596366c2ece8f787477cc7d1246d4c7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105,46
104,66
103,52
103,71
103,78
103,67
103,66
102,76
102
101,5
101,5
99,22
98,97
98,9
99,78
104,4
106,21
105,46
108,33
111,72
111,88
112,86
113,09
116,9
114,62
118,86
124,71
122,53
127,89
136,16
134,12
130,26
135,35
131,43
129,61
123,96
121,1
125,38
123,1
129,92
136,68
131,17
124,82
122,47
126,15
118,74
116,8
116,64
116,53
117,68
119,46
126,19
124,39
121,9
122,53
122,93
124,66
124,41
120,93
120,18
123,44
126,1
125,82
122,18
117,27
117,86
119,09
123,08
125,42
121,81
121,66
121,27
120,92
122,16
124,17
127,26
134,16
134,09
135,57
136,13
136,23
140,6
136,5
130,59
129,5
135,25
138,06
146,28
145,04
147,96
156,71
160,97
168,17
163,91
153,05
151,76
119,55
119,44
120,25
124,92
126,34
125,88
127,34
127,48
119,41
114,82
115,28
116,37
111,99
113,57
117,69
120,74
122,37
123,57
124,86
122,08
123,56
126,92
134,88
130,64
131,65
130,97
136,77
138,17
146,4
152,07
153,05
142,89
141,11
131,9
118,42
108,27

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42882&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42882&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42882&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1105.46NANA0.951859805251062NA
2104.66NANA0.96449870167156NA
3103.52NANA0.978632752962902NA
4103.71NANA1.00202067449952NA
5103.78NANA1.01909469962581NA
6103.67NANA1.02477747651069NA
7103.66104.652845862866102.6829166666671.019184585519660.990512958776419
8102.76104.154365447800102.17251.019397249238300.986612510749742
9102104.464629230269101.7766666666671.026410400847630.976407045634206
10101.5102.802664660938101.6495833333331.011343689662000.987328493232794
11101.5101.669134035182101.7795833333330.9989148187236150.998336426912782
1299.22100.310380851964101.9554166666670.9838651454872570.989129930095939
1398.9797.3034719835376102.2245833333330.9518598052510621.01712711769159
1498.999.1432327915738102.79250.964498701671560.9975466526083
1599.78101.364333970015103.57750.9786327529629020.984369906968623
16104.4104.673584709906104.46251.002020674499520.997386306099438
17106.21107.431689366178105.418751.019094699625810.988628221585403
18105.46109.280562132639106.6383333333331.024777476510690.965038959737395
19108.33110.099538151981108.0270833333331.019184585519660.983927833107364
20111.72111.635042261794109.5108333333331.019397249238301.00076103109279
21111.88114.322873459411111.381251.026410400847630.978631804944285
22112.86114.459243470700113.1754166666671.011343689662000.98602783469288
23113.09114.709550779111114.8341666666670.9989148187236150.98588129089417
24116.9115.128619774434117.0166666666670.9838651454872571.01538609799229
25114.62113.623901561071119.3704166666670.9518598052510621.00876662766586
26118.86116.914121369872121.21750.964498701671561.01664365781762
27124.71120.340430813613122.9679166666670.9786327529629021.03631006767090
28122.53124.971601014966124.7195833333331.002020674499520.980462753176431
29127.89128.591067689950126.1816666666671.019094699625810.994548084073455
30136.16130.314973819252127.1641666666671.024777476510691.04485306645463
31134.12130.17874846745127.7283333333331.019184585519661.03027569076327
32130.26130.758085159796128.271.019397249238300.996190788820533
33135.35131.867648577899128.4745833333331.026410400847631.02640792840136
34131.43130.175524408048128.7154166666671.011343689662001.00963680075542
35129.61129.249172180141129.3895833333330.9989148187236151.00279172248281
36123.96127.457679878821129.5479166666670.9838651454872570.972558108054796
37121.1122.744701536638128.95250.9518598052510620.986600631098144
38125.38123.68771537682128.2404166666670.964498701671561.01368191350309
39123.1124.807481567241127.53250.9786327529629020.98631907682296
40129.92126.876275313744126.6204166666671.002020674499521.02398970712791
41136.68127.955407371059125.5579166666671.019094699625811.06818463407053
42131.17127.809392889183124.7191666666671.024777476510691.02629389777112
43124.82126.606931155447124.223751.019184585519660.985885992661385
44122.47126.112182196393123.71251.019397249238300.971119505404158
45126.15126.494817800462123.241.026410400847630.99727405591424
46118.74124.327429522577122.9329166666671.011343689662000.955058754580278
47116.8122.132736525751122.2654166666670.9989148187236150.956336550891691
48116.64119.408843101114121.3670833333330.9838651454872570.976812076650225
49116.53115.065969166027120.8854166666670.9518598052510621.01272340418791
50117.68116.520284400023120.8091666666670.964498701671561.00995290739246
51119.46118.185807702506120.766250.9786327529629021.01078126318434
52126.19121.184797882587120.9404166666671.002020674499521.04130222771228
53124.39123.665867931217121.348751.019094699625811.00585555320071
54121.9124.682967604595121.6683333333331.024777476510690.97767964896841
55122.53124.446259834146122.103751.019184585519660.984601708105172
56122.93125.123366864632122.74251.019397249238300.98247036569113
57124.66126.616276364563123.3583333333331.026410400847630.984549566448076
58124.41124.856699386834123.456251.011343689662000.996422303416416
59120.93122.859030841864122.99250.9989148187236150.984298827455776
60120.18120.550536613690122.52750.9838651454872570.996926296438835
61123.44116.332339315263122.2158333333330.9518598052510621.06109789183793
62126.1117.744795876687122.078750.964498701671561.07096028373146
63125.82119.507369682653122.1166666666670.9786327529629021.05282210071320
64122.18122.286603115922122.041.002020674499520.999128251883646
65117.27124.290912680321121.9620833333331.019094699625810.943512260639852
66117.86125.061708280289122.0379166666671.024777476510690.942414761645921
67119.09124.318437100712121.9783333333331.019184585519660.957943188294136
68123.08124.069989707085121.7091666666671.019397249238300.992020715811917
69125.42124.684486455967121.476251.026410400847631.00589899806254
70121.81122.998776750284121.6191666666671.011343689662000.990335052252613
71121.66122.401611097790122.5345833333330.9989148187236150.99394116555216
72121.27121.915239559243123.9145833333330.9838651454872570.994707474130589
73120.92119.24661675234125.27750.9518598052510621.01403296205154
74122.16122.016721376174126.5079166666670.964498701671561.0011742540056
75124.17124.777714821005127.5020833333330.9786327529629020.995129620526573
76127.26128.995549040310128.7354166666671.002020674499520.986545667248038
77134.16132.621587226970130.1366666666671.019094699625811.01160001780402
78134.09134.392734194534131.1433333333331.024777476510690.99774739165515
79135.57134.419405663700131.8891666666671.019184585519661.00855973384661
80136.13135.367884470623132.7920833333331.019397249238301.00562995818659
81136.23137.453031842512133.916251.026410400847630.991102183588695
82140.6136.822159415147135.28751.011343689662001.02761132115588
83136.5136.385169916398136.5333333333330.9989148187236151.00084195432445
84130.59135.344998795144137.5645833333330.9838651454872570.964867569267625
85129.5132.330722992020139.0233333333330.9518598052510620.978608724202384
86135.25135.935643264672140.9391666666670.964498701671560.9949561185852
87138.06140.242966663349143.3050.9786327529629020.984434394713078
88146.28145.901307853575145.6070833333331.002020674499521.00259553633889
89145.04150.079953299935147.2679166666671.019094699625810.966418211166
90147.96152.527452613236148.8395833333331.024777476510690.97005488169518
91156.71152.171477842232149.3070833333331.019184585519661.02982505146249
92160.97151.109076994277148.233751.019397249238301.06525698655479
93168.17150.710832853461146.8329166666671.026410400847631.11584546920735
94163.91146.84794652533145.2008333333331.011343689662001.11618857381657
95153.05143.375908789432143.5316666666670.9989148187236151.06747361737582
96151.76139.544053247321141.83250.9838651454872571.08754186558583
97119.55132.964106370764139.688750.9518598052510620.899114830784786
98119.44132.203435163662137.0695833333330.964498701671560.903456100457139
99120.25130.786927687845133.64250.9786327529629020.919434397044684
100124.92129.827226200145129.5654166666671.002020674499520.96220187133491
101126.34128.351155812747125.946251.019094699625810.984330832083189
102125.88125.943016910088122.8979166666671.024777476510690.999499639506548
103127.34123.431746511310121.1083333333331.019184585519661.03166327625715
104127.48122.887064149115120.548751.019397249238301.03737525900457
105119.41123.371964155883120.19751.026410400847630.96788602513552
106114.82121.276964118634119.9166666666671.011343689662000.946758527758675
107115.28119.447320521415119.5770833333330.9989148187236150.96511164500615
108116.37117.390279777623119.3154166666670.9838651454872570.991308651963728
109111.99113.381573918985119.1158333333330.9518598052510620.987726630784125
110113.57114.570389524810118.78750.964498701671560.991268341419108
111117.69116.198367686697118.7354166666670.9786327529629021.01283694722222
112120.74119.653793793674119.41251.002020674499521.00907790862193
113122.37123.038700068156120.7333333333331.019094699625810.994565124080592
114123.57125.171017877783122.1445833333331.024777476510690.987209356407515
115124.86125.928748745833123.5583333333331.019184585519660.991513067854028
116122.08127.529144372834125.10251.019397249238300.957271379811791
117123.56129.966650981330126.62251.026410400847630.950705423791755
118126.92129.597372932124128.143751.011343689662000.979340839466501
119134.88129.730316151159129.871250.9989148187236151.03969530023222
120130.64129.929231113047132.060.9838651454872571.00547043094817
121131.65127.950978063109134.4220833333330.9518598052510621.02890968082375
122130.97131.619109700232136.463750.964498701671560.995068271608046
123136.77135.112076692294138.0620833333330.9786327529629021.01227072626144
124138.17139.281708772662139.0008333333331.002020674499520.992018271584557
125146.4141.167545528916138.52251.019094699625811.03706556242428
126152.07140.296733431081136.9045833333331.024777476510691.08391689728615
127153.05NANA1.01918458551966NA
128142.89NANA1.01939724923830NA
129141.11NANA1.02641040084763NA
130131.9NANA1.01134368966200NA
131118.42NANA0.998914818723615NA
132108.27NANA0.983865145487257NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 105.46 & NA & NA & 0.951859805251062 & NA \tabularnewline
2 & 104.66 & NA & NA & 0.96449870167156 & NA \tabularnewline
3 & 103.52 & NA & NA & 0.978632752962902 & NA \tabularnewline
4 & 103.71 & NA & NA & 1.00202067449952 & NA \tabularnewline
5 & 103.78 & NA & NA & 1.01909469962581 & NA \tabularnewline
6 & 103.67 & NA & NA & 1.02477747651069 & NA \tabularnewline
7 & 103.66 & 104.652845862866 & 102.682916666667 & 1.01918458551966 & 0.990512958776419 \tabularnewline
8 & 102.76 & 104.154365447800 & 102.1725 & 1.01939724923830 & 0.986612510749742 \tabularnewline
9 & 102 & 104.464629230269 & 101.776666666667 & 1.02641040084763 & 0.976407045634206 \tabularnewline
10 & 101.5 & 102.802664660938 & 101.649583333333 & 1.01134368966200 & 0.987328493232794 \tabularnewline
11 & 101.5 & 101.669134035182 & 101.779583333333 & 0.998914818723615 & 0.998336426912782 \tabularnewline
12 & 99.22 & 100.310380851964 & 101.955416666667 & 0.983865145487257 & 0.989129930095939 \tabularnewline
13 & 98.97 & 97.3034719835376 & 102.224583333333 & 0.951859805251062 & 1.01712711769159 \tabularnewline
14 & 98.9 & 99.1432327915738 & 102.7925 & 0.96449870167156 & 0.9975466526083 \tabularnewline
15 & 99.78 & 101.364333970015 & 103.5775 & 0.978632752962902 & 0.984369906968623 \tabularnewline
16 & 104.4 & 104.673584709906 & 104.4625 & 1.00202067449952 & 0.997386306099438 \tabularnewline
17 & 106.21 & 107.431689366178 & 105.41875 & 1.01909469962581 & 0.988628221585403 \tabularnewline
18 & 105.46 & 109.280562132639 & 106.638333333333 & 1.02477747651069 & 0.965038959737395 \tabularnewline
19 & 108.33 & 110.099538151981 & 108.027083333333 & 1.01918458551966 & 0.983927833107364 \tabularnewline
20 & 111.72 & 111.635042261794 & 109.510833333333 & 1.01939724923830 & 1.00076103109279 \tabularnewline
21 & 111.88 & 114.322873459411 & 111.38125 & 1.02641040084763 & 0.978631804944285 \tabularnewline
22 & 112.86 & 114.459243470700 & 113.175416666667 & 1.01134368966200 & 0.98602783469288 \tabularnewline
23 & 113.09 & 114.709550779111 & 114.834166666667 & 0.998914818723615 & 0.98588129089417 \tabularnewline
24 & 116.9 & 115.128619774434 & 117.016666666667 & 0.983865145487257 & 1.01538609799229 \tabularnewline
25 & 114.62 & 113.623901561071 & 119.370416666667 & 0.951859805251062 & 1.00876662766586 \tabularnewline
26 & 118.86 & 116.914121369872 & 121.2175 & 0.96449870167156 & 1.01664365781762 \tabularnewline
27 & 124.71 & 120.340430813613 & 122.967916666667 & 0.978632752962902 & 1.03631006767090 \tabularnewline
28 & 122.53 & 124.971601014966 & 124.719583333333 & 1.00202067449952 & 0.980462753176431 \tabularnewline
29 & 127.89 & 128.591067689950 & 126.181666666667 & 1.01909469962581 & 0.994548084073455 \tabularnewline
30 & 136.16 & 130.314973819252 & 127.164166666667 & 1.02477747651069 & 1.04485306645463 \tabularnewline
31 & 134.12 & 130.17874846745 & 127.728333333333 & 1.01918458551966 & 1.03027569076327 \tabularnewline
32 & 130.26 & 130.758085159796 & 128.27 & 1.01939724923830 & 0.996190788820533 \tabularnewline
33 & 135.35 & 131.867648577899 & 128.474583333333 & 1.02641040084763 & 1.02640792840136 \tabularnewline
34 & 131.43 & 130.175524408048 & 128.715416666667 & 1.01134368966200 & 1.00963680075542 \tabularnewline
35 & 129.61 & 129.249172180141 & 129.389583333333 & 0.998914818723615 & 1.00279172248281 \tabularnewline
36 & 123.96 & 127.457679878821 & 129.547916666667 & 0.983865145487257 & 0.972558108054796 \tabularnewline
37 & 121.1 & 122.744701536638 & 128.9525 & 0.951859805251062 & 0.986600631098144 \tabularnewline
38 & 125.38 & 123.68771537682 & 128.240416666667 & 0.96449870167156 & 1.01368191350309 \tabularnewline
39 & 123.1 & 124.807481567241 & 127.5325 & 0.978632752962902 & 0.98631907682296 \tabularnewline
40 & 129.92 & 126.876275313744 & 126.620416666667 & 1.00202067449952 & 1.02398970712791 \tabularnewline
41 & 136.68 & 127.955407371059 & 125.557916666667 & 1.01909469962581 & 1.06818463407053 \tabularnewline
42 & 131.17 & 127.809392889183 & 124.719166666667 & 1.02477747651069 & 1.02629389777112 \tabularnewline
43 & 124.82 & 126.606931155447 & 124.22375 & 1.01918458551966 & 0.985885992661385 \tabularnewline
44 & 122.47 & 126.112182196393 & 123.7125 & 1.01939724923830 & 0.971119505404158 \tabularnewline
45 & 126.15 & 126.494817800462 & 123.24 & 1.02641040084763 & 0.99727405591424 \tabularnewline
46 & 118.74 & 124.327429522577 & 122.932916666667 & 1.01134368966200 & 0.955058754580278 \tabularnewline
47 & 116.8 & 122.132736525751 & 122.265416666667 & 0.998914818723615 & 0.956336550891691 \tabularnewline
48 & 116.64 & 119.408843101114 & 121.367083333333 & 0.983865145487257 & 0.976812076650225 \tabularnewline
49 & 116.53 & 115.065969166027 & 120.885416666667 & 0.951859805251062 & 1.01272340418791 \tabularnewline
50 & 117.68 & 116.520284400023 & 120.809166666667 & 0.96449870167156 & 1.00995290739246 \tabularnewline
51 & 119.46 & 118.185807702506 & 120.76625 & 0.978632752962902 & 1.01078126318434 \tabularnewline
52 & 126.19 & 121.184797882587 & 120.940416666667 & 1.00202067449952 & 1.04130222771228 \tabularnewline
53 & 124.39 & 123.665867931217 & 121.34875 & 1.01909469962581 & 1.00585555320071 \tabularnewline
54 & 121.9 & 124.682967604595 & 121.668333333333 & 1.02477747651069 & 0.97767964896841 \tabularnewline
55 & 122.53 & 124.446259834146 & 122.10375 & 1.01918458551966 & 0.984601708105172 \tabularnewline
56 & 122.93 & 125.123366864632 & 122.7425 & 1.01939724923830 & 0.98247036569113 \tabularnewline
57 & 124.66 & 126.616276364563 & 123.358333333333 & 1.02641040084763 & 0.984549566448076 \tabularnewline
58 & 124.41 & 124.856699386834 & 123.45625 & 1.01134368966200 & 0.996422303416416 \tabularnewline
59 & 120.93 & 122.859030841864 & 122.9925 & 0.998914818723615 & 0.984298827455776 \tabularnewline
60 & 120.18 & 120.550536613690 & 122.5275 & 0.983865145487257 & 0.996926296438835 \tabularnewline
61 & 123.44 & 116.332339315263 & 122.215833333333 & 0.951859805251062 & 1.06109789183793 \tabularnewline
62 & 126.1 & 117.744795876687 & 122.07875 & 0.96449870167156 & 1.07096028373146 \tabularnewline
63 & 125.82 & 119.507369682653 & 122.116666666667 & 0.978632752962902 & 1.05282210071320 \tabularnewline
64 & 122.18 & 122.286603115922 & 122.04 & 1.00202067449952 & 0.999128251883646 \tabularnewline
65 & 117.27 & 124.290912680321 & 121.962083333333 & 1.01909469962581 & 0.943512260639852 \tabularnewline
66 & 117.86 & 125.061708280289 & 122.037916666667 & 1.02477747651069 & 0.942414761645921 \tabularnewline
67 & 119.09 & 124.318437100712 & 121.978333333333 & 1.01918458551966 & 0.957943188294136 \tabularnewline
68 & 123.08 & 124.069989707085 & 121.709166666667 & 1.01939724923830 & 0.992020715811917 \tabularnewline
69 & 125.42 & 124.684486455967 & 121.47625 & 1.02641040084763 & 1.00589899806254 \tabularnewline
70 & 121.81 & 122.998776750284 & 121.619166666667 & 1.01134368966200 & 0.990335052252613 \tabularnewline
71 & 121.66 & 122.401611097790 & 122.534583333333 & 0.998914818723615 & 0.99394116555216 \tabularnewline
72 & 121.27 & 121.915239559243 & 123.914583333333 & 0.983865145487257 & 0.994707474130589 \tabularnewline
73 & 120.92 & 119.24661675234 & 125.2775 & 0.951859805251062 & 1.01403296205154 \tabularnewline
74 & 122.16 & 122.016721376174 & 126.507916666667 & 0.96449870167156 & 1.0011742540056 \tabularnewline
75 & 124.17 & 124.777714821005 & 127.502083333333 & 0.978632752962902 & 0.995129620526573 \tabularnewline
76 & 127.26 & 128.995549040310 & 128.735416666667 & 1.00202067449952 & 0.986545667248038 \tabularnewline
77 & 134.16 & 132.621587226970 & 130.136666666667 & 1.01909469962581 & 1.01160001780402 \tabularnewline
78 & 134.09 & 134.392734194534 & 131.143333333333 & 1.02477747651069 & 0.99774739165515 \tabularnewline
79 & 135.57 & 134.419405663700 & 131.889166666667 & 1.01918458551966 & 1.00855973384661 \tabularnewline
80 & 136.13 & 135.367884470623 & 132.792083333333 & 1.01939724923830 & 1.00562995818659 \tabularnewline
81 & 136.23 & 137.453031842512 & 133.91625 & 1.02641040084763 & 0.991102183588695 \tabularnewline
82 & 140.6 & 136.822159415147 & 135.2875 & 1.01134368966200 & 1.02761132115588 \tabularnewline
83 & 136.5 & 136.385169916398 & 136.533333333333 & 0.998914818723615 & 1.00084195432445 \tabularnewline
84 & 130.59 & 135.344998795144 & 137.564583333333 & 0.983865145487257 & 0.964867569267625 \tabularnewline
85 & 129.5 & 132.330722992020 & 139.023333333333 & 0.951859805251062 & 0.978608724202384 \tabularnewline
86 & 135.25 & 135.935643264672 & 140.939166666667 & 0.96449870167156 & 0.9949561185852 \tabularnewline
87 & 138.06 & 140.242966663349 & 143.305 & 0.978632752962902 & 0.984434394713078 \tabularnewline
88 & 146.28 & 145.901307853575 & 145.607083333333 & 1.00202067449952 & 1.00259553633889 \tabularnewline
89 & 145.04 & 150.079953299935 & 147.267916666667 & 1.01909469962581 & 0.966418211166 \tabularnewline
90 & 147.96 & 152.527452613236 & 148.839583333333 & 1.02477747651069 & 0.97005488169518 \tabularnewline
91 & 156.71 & 152.171477842232 & 149.307083333333 & 1.01918458551966 & 1.02982505146249 \tabularnewline
92 & 160.97 & 151.109076994277 & 148.23375 & 1.01939724923830 & 1.06525698655479 \tabularnewline
93 & 168.17 & 150.710832853461 & 146.832916666667 & 1.02641040084763 & 1.11584546920735 \tabularnewline
94 & 163.91 & 146.84794652533 & 145.200833333333 & 1.01134368966200 & 1.11618857381657 \tabularnewline
95 & 153.05 & 143.375908789432 & 143.531666666667 & 0.998914818723615 & 1.06747361737582 \tabularnewline
96 & 151.76 & 139.544053247321 & 141.8325 & 0.983865145487257 & 1.08754186558583 \tabularnewline
97 & 119.55 & 132.964106370764 & 139.68875 & 0.951859805251062 & 0.899114830784786 \tabularnewline
98 & 119.44 & 132.203435163662 & 137.069583333333 & 0.96449870167156 & 0.903456100457139 \tabularnewline
99 & 120.25 & 130.786927687845 & 133.6425 & 0.978632752962902 & 0.919434397044684 \tabularnewline
100 & 124.92 & 129.827226200145 & 129.565416666667 & 1.00202067449952 & 0.96220187133491 \tabularnewline
101 & 126.34 & 128.351155812747 & 125.94625 & 1.01909469962581 & 0.984330832083189 \tabularnewline
102 & 125.88 & 125.943016910088 & 122.897916666667 & 1.02477747651069 & 0.999499639506548 \tabularnewline
103 & 127.34 & 123.431746511310 & 121.108333333333 & 1.01918458551966 & 1.03166327625715 \tabularnewline
104 & 127.48 & 122.887064149115 & 120.54875 & 1.01939724923830 & 1.03737525900457 \tabularnewline
105 & 119.41 & 123.371964155883 & 120.1975 & 1.02641040084763 & 0.96788602513552 \tabularnewline
106 & 114.82 & 121.276964118634 & 119.916666666667 & 1.01134368966200 & 0.946758527758675 \tabularnewline
107 & 115.28 & 119.447320521415 & 119.577083333333 & 0.998914818723615 & 0.96511164500615 \tabularnewline
108 & 116.37 & 117.390279777623 & 119.315416666667 & 0.983865145487257 & 0.991308651963728 \tabularnewline
109 & 111.99 & 113.381573918985 & 119.115833333333 & 0.951859805251062 & 0.987726630784125 \tabularnewline
110 & 113.57 & 114.570389524810 & 118.7875 & 0.96449870167156 & 0.991268341419108 \tabularnewline
111 & 117.69 & 116.198367686697 & 118.735416666667 & 0.978632752962902 & 1.01283694722222 \tabularnewline
112 & 120.74 & 119.653793793674 & 119.4125 & 1.00202067449952 & 1.00907790862193 \tabularnewline
113 & 122.37 & 123.038700068156 & 120.733333333333 & 1.01909469962581 & 0.994565124080592 \tabularnewline
114 & 123.57 & 125.171017877783 & 122.144583333333 & 1.02477747651069 & 0.987209356407515 \tabularnewline
115 & 124.86 & 125.928748745833 & 123.558333333333 & 1.01918458551966 & 0.991513067854028 \tabularnewline
116 & 122.08 & 127.529144372834 & 125.1025 & 1.01939724923830 & 0.957271379811791 \tabularnewline
117 & 123.56 & 129.966650981330 & 126.6225 & 1.02641040084763 & 0.950705423791755 \tabularnewline
118 & 126.92 & 129.597372932124 & 128.14375 & 1.01134368966200 & 0.979340839466501 \tabularnewline
119 & 134.88 & 129.730316151159 & 129.87125 & 0.998914818723615 & 1.03969530023222 \tabularnewline
120 & 130.64 & 129.929231113047 & 132.06 & 0.983865145487257 & 1.00547043094817 \tabularnewline
121 & 131.65 & 127.950978063109 & 134.422083333333 & 0.951859805251062 & 1.02890968082375 \tabularnewline
122 & 130.97 & 131.619109700232 & 136.46375 & 0.96449870167156 & 0.995068271608046 \tabularnewline
123 & 136.77 & 135.112076692294 & 138.062083333333 & 0.978632752962902 & 1.01227072626144 \tabularnewline
124 & 138.17 & 139.281708772662 & 139.000833333333 & 1.00202067449952 & 0.992018271584557 \tabularnewline
125 & 146.4 & 141.167545528916 & 138.5225 & 1.01909469962581 & 1.03706556242428 \tabularnewline
126 & 152.07 & 140.296733431081 & 136.904583333333 & 1.02477747651069 & 1.08391689728615 \tabularnewline
127 & 153.05 & NA & NA & 1.01918458551966 & NA \tabularnewline
128 & 142.89 & NA & NA & 1.01939724923830 & NA \tabularnewline
129 & 141.11 & NA & NA & 1.02641040084763 & NA \tabularnewline
130 & 131.9 & NA & NA & 1.01134368966200 & NA \tabularnewline
131 & 118.42 & NA & NA & 0.998914818723615 & NA \tabularnewline
132 & 108.27 & NA & NA & 0.983865145487257 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42882&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]105.46[/C][C]NA[/C][C]NA[/C][C]0.951859805251062[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]104.66[/C][C]NA[/C][C]NA[/C][C]0.96449870167156[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]103.52[/C][C]NA[/C][C]NA[/C][C]0.978632752962902[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]103.71[/C][C]NA[/C][C]NA[/C][C]1.00202067449952[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]103.78[/C][C]NA[/C][C]NA[/C][C]1.01909469962581[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]103.67[/C][C]NA[/C][C]NA[/C][C]1.02477747651069[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]103.66[/C][C]104.652845862866[/C][C]102.682916666667[/C][C]1.01918458551966[/C][C]0.990512958776419[/C][/ROW]
[ROW][C]8[/C][C]102.76[/C][C]104.154365447800[/C][C]102.1725[/C][C]1.01939724923830[/C][C]0.986612510749742[/C][/ROW]
[ROW][C]9[/C][C]102[/C][C]104.464629230269[/C][C]101.776666666667[/C][C]1.02641040084763[/C][C]0.976407045634206[/C][/ROW]
[ROW][C]10[/C][C]101.5[/C][C]102.802664660938[/C][C]101.649583333333[/C][C]1.01134368966200[/C][C]0.987328493232794[/C][/ROW]
[ROW][C]11[/C][C]101.5[/C][C]101.669134035182[/C][C]101.779583333333[/C][C]0.998914818723615[/C][C]0.998336426912782[/C][/ROW]
[ROW][C]12[/C][C]99.22[/C][C]100.310380851964[/C][C]101.955416666667[/C][C]0.983865145487257[/C][C]0.989129930095939[/C][/ROW]
[ROW][C]13[/C][C]98.97[/C][C]97.3034719835376[/C][C]102.224583333333[/C][C]0.951859805251062[/C][C]1.01712711769159[/C][/ROW]
[ROW][C]14[/C][C]98.9[/C][C]99.1432327915738[/C][C]102.7925[/C][C]0.96449870167156[/C][C]0.9975466526083[/C][/ROW]
[ROW][C]15[/C][C]99.78[/C][C]101.364333970015[/C][C]103.5775[/C][C]0.978632752962902[/C][C]0.984369906968623[/C][/ROW]
[ROW][C]16[/C][C]104.4[/C][C]104.673584709906[/C][C]104.4625[/C][C]1.00202067449952[/C][C]0.997386306099438[/C][/ROW]
[ROW][C]17[/C][C]106.21[/C][C]107.431689366178[/C][C]105.41875[/C][C]1.01909469962581[/C][C]0.988628221585403[/C][/ROW]
[ROW][C]18[/C][C]105.46[/C][C]109.280562132639[/C][C]106.638333333333[/C][C]1.02477747651069[/C][C]0.965038959737395[/C][/ROW]
[ROW][C]19[/C][C]108.33[/C][C]110.099538151981[/C][C]108.027083333333[/C][C]1.01918458551966[/C][C]0.983927833107364[/C][/ROW]
[ROW][C]20[/C][C]111.72[/C][C]111.635042261794[/C][C]109.510833333333[/C][C]1.01939724923830[/C][C]1.00076103109279[/C][/ROW]
[ROW][C]21[/C][C]111.88[/C][C]114.322873459411[/C][C]111.38125[/C][C]1.02641040084763[/C][C]0.978631804944285[/C][/ROW]
[ROW][C]22[/C][C]112.86[/C][C]114.459243470700[/C][C]113.175416666667[/C][C]1.01134368966200[/C][C]0.98602783469288[/C][/ROW]
[ROW][C]23[/C][C]113.09[/C][C]114.709550779111[/C][C]114.834166666667[/C][C]0.998914818723615[/C][C]0.98588129089417[/C][/ROW]
[ROW][C]24[/C][C]116.9[/C][C]115.128619774434[/C][C]117.016666666667[/C][C]0.983865145487257[/C][C]1.01538609799229[/C][/ROW]
[ROW][C]25[/C][C]114.62[/C][C]113.623901561071[/C][C]119.370416666667[/C][C]0.951859805251062[/C][C]1.00876662766586[/C][/ROW]
[ROW][C]26[/C][C]118.86[/C][C]116.914121369872[/C][C]121.2175[/C][C]0.96449870167156[/C][C]1.01664365781762[/C][/ROW]
[ROW][C]27[/C][C]124.71[/C][C]120.340430813613[/C][C]122.967916666667[/C][C]0.978632752962902[/C][C]1.03631006767090[/C][/ROW]
[ROW][C]28[/C][C]122.53[/C][C]124.971601014966[/C][C]124.719583333333[/C][C]1.00202067449952[/C][C]0.980462753176431[/C][/ROW]
[ROW][C]29[/C][C]127.89[/C][C]128.591067689950[/C][C]126.181666666667[/C][C]1.01909469962581[/C][C]0.994548084073455[/C][/ROW]
[ROW][C]30[/C][C]136.16[/C][C]130.314973819252[/C][C]127.164166666667[/C][C]1.02477747651069[/C][C]1.04485306645463[/C][/ROW]
[ROW][C]31[/C][C]134.12[/C][C]130.17874846745[/C][C]127.728333333333[/C][C]1.01918458551966[/C][C]1.03027569076327[/C][/ROW]
[ROW][C]32[/C][C]130.26[/C][C]130.758085159796[/C][C]128.27[/C][C]1.01939724923830[/C][C]0.996190788820533[/C][/ROW]
[ROW][C]33[/C][C]135.35[/C][C]131.867648577899[/C][C]128.474583333333[/C][C]1.02641040084763[/C][C]1.02640792840136[/C][/ROW]
[ROW][C]34[/C][C]131.43[/C][C]130.175524408048[/C][C]128.715416666667[/C][C]1.01134368966200[/C][C]1.00963680075542[/C][/ROW]
[ROW][C]35[/C][C]129.61[/C][C]129.249172180141[/C][C]129.389583333333[/C][C]0.998914818723615[/C][C]1.00279172248281[/C][/ROW]
[ROW][C]36[/C][C]123.96[/C][C]127.457679878821[/C][C]129.547916666667[/C][C]0.983865145487257[/C][C]0.972558108054796[/C][/ROW]
[ROW][C]37[/C][C]121.1[/C][C]122.744701536638[/C][C]128.9525[/C][C]0.951859805251062[/C][C]0.986600631098144[/C][/ROW]
[ROW][C]38[/C][C]125.38[/C][C]123.68771537682[/C][C]128.240416666667[/C][C]0.96449870167156[/C][C]1.01368191350309[/C][/ROW]
[ROW][C]39[/C][C]123.1[/C][C]124.807481567241[/C][C]127.5325[/C][C]0.978632752962902[/C][C]0.98631907682296[/C][/ROW]
[ROW][C]40[/C][C]129.92[/C][C]126.876275313744[/C][C]126.620416666667[/C][C]1.00202067449952[/C][C]1.02398970712791[/C][/ROW]
[ROW][C]41[/C][C]136.68[/C][C]127.955407371059[/C][C]125.557916666667[/C][C]1.01909469962581[/C][C]1.06818463407053[/C][/ROW]
[ROW][C]42[/C][C]131.17[/C][C]127.809392889183[/C][C]124.719166666667[/C][C]1.02477747651069[/C][C]1.02629389777112[/C][/ROW]
[ROW][C]43[/C][C]124.82[/C][C]126.606931155447[/C][C]124.22375[/C][C]1.01918458551966[/C][C]0.985885992661385[/C][/ROW]
[ROW][C]44[/C][C]122.47[/C][C]126.112182196393[/C][C]123.7125[/C][C]1.01939724923830[/C][C]0.971119505404158[/C][/ROW]
[ROW][C]45[/C][C]126.15[/C][C]126.494817800462[/C][C]123.24[/C][C]1.02641040084763[/C][C]0.99727405591424[/C][/ROW]
[ROW][C]46[/C][C]118.74[/C][C]124.327429522577[/C][C]122.932916666667[/C][C]1.01134368966200[/C][C]0.955058754580278[/C][/ROW]
[ROW][C]47[/C][C]116.8[/C][C]122.132736525751[/C][C]122.265416666667[/C][C]0.998914818723615[/C][C]0.956336550891691[/C][/ROW]
[ROW][C]48[/C][C]116.64[/C][C]119.408843101114[/C][C]121.367083333333[/C][C]0.983865145487257[/C][C]0.976812076650225[/C][/ROW]
[ROW][C]49[/C][C]116.53[/C][C]115.065969166027[/C][C]120.885416666667[/C][C]0.951859805251062[/C][C]1.01272340418791[/C][/ROW]
[ROW][C]50[/C][C]117.68[/C][C]116.520284400023[/C][C]120.809166666667[/C][C]0.96449870167156[/C][C]1.00995290739246[/C][/ROW]
[ROW][C]51[/C][C]119.46[/C][C]118.185807702506[/C][C]120.76625[/C][C]0.978632752962902[/C][C]1.01078126318434[/C][/ROW]
[ROW][C]52[/C][C]126.19[/C][C]121.184797882587[/C][C]120.940416666667[/C][C]1.00202067449952[/C][C]1.04130222771228[/C][/ROW]
[ROW][C]53[/C][C]124.39[/C][C]123.665867931217[/C][C]121.34875[/C][C]1.01909469962581[/C][C]1.00585555320071[/C][/ROW]
[ROW][C]54[/C][C]121.9[/C][C]124.682967604595[/C][C]121.668333333333[/C][C]1.02477747651069[/C][C]0.97767964896841[/C][/ROW]
[ROW][C]55[/C][C]122.53[/C][C]124.446259834146[/C][C]122.10375[/C][C]1.01918458551966[/C][C]0.984601708105172[/C][/ROW]
[ROW][C]56[/C][C]122.93[/C][C]125.123366864632[/C][C]122.7425[/C][C]1.01939724923830[/C][C]0.98247036569113[/C][/ROW]
[ROW][C]57[/C][C]124.66[/C][C]126.616276364563[/C][C]123.358333333333[/C][C]1.02641040084763[/C][C]0.984549566448076[/C][/ROW]
[ROW][C]58[/C][C]124.41[/C][C]124.856699386834[/C][C]123.45625[/C][C]1.01134368966200[/C][C]0.996422303416416[/C][/ROW]
[ROW][C]59[/C][C]120.93[/C][C]122.859030841864[/C][C]122.9925[/C][C]0.998914818723615[/C][C]0.984298827455776[/C][/ROW]
[ROW][C]60[/C][C]120.18[/C][C]120.550536613690[/C][C]122.5275[/C][C]0.983865145487257[/C][C]0.996926296438835[/C][/ROW]
[ROW][C]61[/C][C]123.44[/C][C]116.332339315263[/C][C]122.215833333333[/C][C]0.951859805251062[/C][C]1.06109789183793[/C][/ROW]
[ROW][C]62[/C][C]126.1[/C][C]117.744795876687[/C][C]122.07875[/C][C]0.96449870167156[/C][C]1.07096028373146[/C][/ROW]
[ROW][C]63[/C][C]125.82[/C][C]119.507369682653[/C][C]122.116666666667[/C][C]0.978632752962902[/C][C]1.05282210071320[/C][/ROW]
[ROW][C]64[/C][C]122.18[/C][C]122.286603115922[/C][C]122.04[/C][C]1.00202067449952[/C][C]0.999128251883646[/C][/ROW]
[ROW][C]65[/C][C]117.27[/C][C]124.290912680321[/C][C]121.962083333333[/C][C]1.01909469962581[/C][C]0.943512260639852[/C][/ROW]
[ROW][C]66[/C][C]117.86[/C][C]125.061708280289[/C][C]122.037916666667[/C][C]1.02477747651069[/C][C]0.942414761645921[/C][/ROW]
[ROW][C]67[/C][C]119.09[/C][C]124.318437100712[/C][C]121.978333333333[/C][C]1.01918458551966[/C][C]0.957943188294136[/C][/ROW]
[ROW][C]68[/C][C]123.08[/C][C]124.069989707085[/C][C]121.709166666667[/C][C]1.01939724923830[/C][C]0.992020715811917[/C][/ROW]
[ROW][C]69[/C][C]125.42[/C][C]124.684486455967[/C][C]121.47625[/C][C]1.02641040084763[/C][C]1.00589899806254[/C][/ROW]
[ROW][C]70[/C][C]121.81[/C][C]122.998776750284[/C][C]121.619166666667[/C][C]1.01134368966200[/C][C]0.990335052252613[/C][/ROW]
[ROW][C]71[/C][C]121.66[/C][C]122.401611097790[/C][C]122.534583333333[/C][C]0.998914818723615[/C][C]0.99394116555216[/C][/ROW]
[ROW][C]72[/C][C]121.27[/C][C]121.915239559243[/C][C]123.914583333333[/C][C]0.983865145487257[/C][C]0.994707474130589[/C][/ROW]
[ROW][C]73[/C][C]120.92[/C][C]119.24661675234[/C][C]125.2775[/C][C]0.951859805251062[/C][C]1.01403296205154[/C][/ROW]
[ROW][C]74[/C][C]122.16[/C][C]122.016721376174[/C][C]126.507916666667[/C][C]0.96449870167156[/C][C]1.0011742540056[/C][/ROW]
[ROW][C]75[/C][C]124.17[/C][C]124.777714821005[/C][C]127.502083333333[/C][C]0.978632752962902[/C][C]0.995129620526573[/C][/ROW]
[ROW][C]76[/C][C]127.26[/C][C]128.995549040310[/C][C]128.735416666667[/C][C]1.00202067449952[/C][C]0.986545667248038[/C][/ROW]
[ROW][C]77[/C][C]134.16[/C][C]132.621587226970[/C][C]130.136666666667[/C][C]1.01909469962581[/C][C]1.01160001780402[/C][/ROW]
[ROW][C]78[/C][C]134.09[/C][C]134.392734194534[/C][C]131.143333333333[/C][C]1.02477747651069[/C][C]0.99774739165515[/C][/ROW]
[ROW][C]79[/C][C]135.57[/C][C]134.419405663700[/C][C]131.889166666667[/C][C]1.01918458551966[/C][C]1.00855973384661[/C][/ROW]
[ROW][C]80[/C][C]136.13[/C][C]135.367884470623[/C][C]132.792083333333[/C][C]1.01939724923830[/C][C]1.00562995818659[/C][/ROW]
[ROW][C]81[/C][C]136.23[/C][C]137.453031842512[/C][C]133.91625[/C][C]1.02641040084763[/C][C]0.991102183588695[/C][/ROW]
[ROW][C]82[/C][C]140.6[/C][C]136.822159415147[/C][C]135.2875[/C][C]1.01134368966200[/C][C]1.02761132115588[/C][/ROW]
[ROW][C]83[/C][C]136.5[/C][C]136.385169916398[/C][C]136.533333333333[/C][C]0.998914818723615[/C][C]1.00084195432445[/C][/ROW]
[ROW][C]84[/C][C]130.59[/C][C]135.344998795144[/C][C]137.564583333333[/C][C]0.983865145487257[/C][C]0.964867569267625[/C][/ROW]
[ROW][C]85[/C][C]129.5[/C][C]132.330722992020[/C][C]139.023333333333[/C][C]0.951859805251062[/C][C]0.978608724202384[/C][/ROW]
[ROW][C]86[/C][C]135.25[/C][C]135.935643264672[/C][C]140.939166666667[/C][C]0.96449870167156[/C][C]0.9949561185852[/C][/ROW]
[ROW][C]87[/C][C]138.06[/C][C]140.242966663349[/C][C]143.305[/C][C]0.978632752962902[/C][C]0.984434394713078[/C][/ROW]
[ROW][C]88[/C][C]146.28[/C][C]145.901307853575[/C][C]145.607083333333[/C][C]1.00202067449952[/C][C]1.00259553633889[/C][/ROW]
[ROW][C]89[/C][C]145.04[/C][C]150.079953299935[/C][C]147.267916666667[/C][C]1.01909469962581[/C][C]0.966418211166[/C][/ROW]
[ROW][C]90[/C][C]147.96[/C][C]152.527452613236[/C][C]148.839583333333[/C][C]1.02477747651069[/C][C]0.97005488169518[/C][/ROW]
[ROW][C]91[/C][C]156.71[/C][C]152.171477842232[/C][C]149.307083333333[/C][C]1.01918458551966[/C][C]1.02982505146249[/C][/ROW]
[ROW][C]92[/C][C]160.97[/C][C]151.109076994277[/C][C]148.23375[/C][C]1.01939724923830[/C][C]1.06525698655479[/C][/ROW]
[ROW][C]93[/C][C]168.17[/C][C]150.710832853461[/C][C]146.832916666667[/C][C]1.02641040084763[/C][C]1.11584546920735[/C][/ROW]
[ROW][C]94[/C][C]163.91[/C][C]146.84794652533[/C][C]145.200833333333[/C][C]1.01134368966200[/C][C]1.11618857381657[/C][/ROW]
[ROW][C]95[/C][C]153.05[/C][C]143.375908789432[/C][C]143.531666666667[/C][C]0.998914818723615[/C][C]1.06747361737582[/C][/ROW]
[ROW][C]96[/C][C]151.76[/C][C]139.544053247321[/C][C]141.8325[/C][C]0.983865145487257[/C][C]1.08754186558583[/C][/ROW]
[ROW][C]97[/C][C]119.55[/C][C]132.964106370764[/C][C]139.68875[/C][C]0.951859805251062[/C][C]0.899114830784786[/C][/ROW]
[ROW][C]98[/C][C]119.44[/C][C]132.203435163662[/C][C]137.069583333333[/C][C]0.96449870167156[/C][C]0.903456100457139[/C][/ROW]
[ROW][C]99[/C][C]120.25[/C][C]130.786927687845[/C][C]133.6425[/C][C]0.978632752962902[/C][C]0.919434397044684[/C][/ROW]
[ROW][C]100[/C][C]124.92[/C][C]129.827226200145[/C][C]129.565416666667[/C][C]1.00202067449952[/C][C]0.96220187133491[/C][/ROW]
[ROW][C]101[/C][C]126.34[/C][C]128.351155812747[/C][C]125.94625[/C][C]1.01909469962581[/C][C]0.984330832083189[/C][/ROW]
[ROW][C]102[/C][C]125.88[/C][C]125.943016910088[/C][C]122.897916666667[/C][C]1.02477747651069[/C][C]0.999499639506548[/C][/ROW]
[ROW][C]103[/C][C]127.34[/C][C]123.431746511310[/C][C]121.108333333333[/C][C]1.01918458551966[/C][C]1.03166327625715[/C][/ROW]
[ROW][C]104[/C][C]127.48[/C][C]122.887064149115[/C][C]120.54875[/C][C]1.01939724923830[/C][C]1.03737525900457[/C][/ROW]
[ROW][C]105[/C][C]119.41[/C][C]123.371964155883[/C][C]120.1975[/C][C]1.02641040084763[/C][C]0.96788602513552[/C][/ROW]
[ROW][C]106[/C][C]114.82[/C][C]121.276964118634[/C][C]119.916666666667[/C][C]1.01134368966200[/C][C]0.946758527758675[/C][/ROW]
[ROW][C]107[/C][C]115.28[/C][C]119.447320521415[/C][C]119.577083333333[/C][C]0.998914818723615[/C][C]0.96511164500615[/C][/ROW]
[ROW][C]108[/C][C]116.37[/C][C]117.390279777623[/C][C]119.315416666667[/C][C]0.983865145487257[/C][C]0.991308651963728[/C][/ROW]
[ROW][C]109[/C][C]111.99[/C][C]113.381573918985[/C][C]119.115833333333[/C][C]0.951859805251062[/C][C]0.987726630784125[/C][/ROW]
[ROW][C]110[/C][C]113.57[/C][C]114.570389524810[/C][C]118.7875[/C][C]0.96449870167156[/C][C]0.991268341419108[/C][/ROW]
[ROW][C]111[/C][C]117.69[/C][C]116.198367686697[/C][C]118.735416666667[/C][C]0.978632752962902[/C][C]1.01283694722222[/C][/ROW]
[ROW][C]112[/C][C]120.74[/C][C]119.653793793674[/C][C]119.4125[/C][C]1.00202067449952[/C][C]1.00907790862193[/C][/ROW]
[ROW][C]113[/C][C]122.37[/C][C]123.038700068156[/C][C]120.733333333333[/C][C]1.01909469962581[/C][C]0.994565124080592[/C][/ROW]
[ROW][C]114[/C][C]123.57[/C][C]125.171017877783[/C][C]122.144583333333[/C][C]1.02477747651069[/C][C]0.987209356407515[/C][/ROW]
[ROW][C]115[/C][C]124.86[/C][C]125.928748745833[/C][C]123.558333333333[/C][C]1.01918458551966[/C][C]0.991513067854028[/C][/ROW]
[ROW][C]116[/C][C]122.08[/C][C]127.529144372834[/C][C]125.1025[/C][C]1.01939724923830[/C][C]0.957271379811791[/C][/ROW]
[ROW][C]117[/C][C]123.56[/C][C]129.966650981330[/C][C]126.6225[/C][C]1.02641040084763[/C][C]0.950705423791755[/C][/ROW]
[ROW][C]118[/C][C]126.92[/C][C]129.597372932124[/C][C]128.14375[/C][C]1.01134368966200[/C][C]0.979340839466501[/C][/ROW]
[ROW][C]119[/C][C]134.88[/C][C]129.730316151159[/C][C]129.87125[/C][C]0.998914818723615[/C][C]1.03969530023222[/C][/ROW]
[ROW][C]120[/C][C]130.64[/C][C]129.929231113047[/C][C]132.06[/C][C]0.983865145487257[/C][C]1.00547043094817[/C][/ROW]
[ROW][C]121[/C][C]131.65[/C][C]127.950978063109[/C][C]134.422083333333[/C][C]0.951859805251062[/C][C]1.02890968082375[/C][/ROW]
[ROW][C]122[/C][C]130.97[/C][C]131.619109700232[/C][C]136.46375[/C][C]0.96449870167156[/C][C]0.995068271608046[/C][/ROW]
[ROW][C]123[/C][C]136.77[/C][C]135.112076692294[/C][C]138.062083333333[/C][C]0.978632752962902[/C][C]1.01227072626144[/C][/ROW]
[ROW][C]124[/C][C]138.17[/C][C]139.281708772662[/C][C]139.000833333333[/C][C]1.00202067449952[/C][C]0.992018271584557[/C][/ROW]
[ROW][C]125[/C][C]146.4[/C][C]141.167545528916[/C][C]138.5225[/C][C]1.01909469962581[/C][C]1.03706556242428[/C][/ROW]
[ROW][C]126[/C][C]152.07[/C][C]140.296733431081[/C][C]136.904583333333[/C][C]1.02477747651069[/C][C]1.08391689728615[/C][/ROW]
[ROW][C]127[/C][C]153.05[/C][C]NA[/C][C]NA[/C][C]1.01918458551966[/C][C]NA[/C][/ROW]
[ROW][C]128[/C][C]142.89[/C][C]NA[/C][C]NA[/C][C]1.01939724923830[/C][C]NA[/C][/ROW]
[ROW][C]129[/C][C]141.11[/C][C]NA[/C][C]NA[/C][C]1.02641040084763[/C][C]NA[/C][/ROW]
[ROW][C]130[/C][C]131.9[/C][C]NA[/C][C]NA[/C][C]1.01134368966200[/C][C]NA[/C][/ROW]
[ROW][C]131[/C][C]118.42[/C][C]NA[/C][C]NA[/C][C]0.998914818723615[/C][C]NA[/C][/ROW]
[ROW][C]132[/C][C]108.27[/C][C]NA[/C][C]NA[/C][C]0.983865145487257[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42882&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42882&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
1105.46NANA0.951859805251062NA
2104.66NANA0.96449870167156NA
3103.52NANA0.978632752962902NA
4103.71NANA1.00202067449952NA
5103.78NANA1.01909469962581NA
6103.67NANA1.02477747651069NA
7103.66104.652845862866102.6829166666671.019184585519660.990512958776419
8102.76104.154365447800102.17251.019397249238300.986612510749742
9102104.464629230269101.7766666666671.026410400847630.976407045634206
10101.5102.802664660938101.6495833333331.011343689662000.987328493232794
11101.5101.669134035182101.7795833333330.9989148187236150.998336426912782
1299.22100.310380851964101.9554166666670.9838651454872570.989129930095939
1398.9797.3034719835376102.2245833333330.9518598052510621.01712711769159
1498.999.1432327915738102.79250.964498701671560.9975466526083
1599.78101.364333970015103.57750.9786327529629020.984369906968623
16104.4104.673584709906104.46251.002020674499520.997386306099438
17106.21107.431689366178105.418751.019094699625810.988628221585403
18105.46109.280562132639106.6383333333331.024777476510690.965038959737395
19108.33110.099538151981108.0270833333331.019184585519660.983927833107364
20111.72111.635042261794109.5108333333331.019397249238301.00076103109279
21111.88114.322873459411111.381251.026410400847630.978631804944285
22112.86114.459243470700113.1754166666671.011343689662000.98602783469288
23113.09114.709550779111114.8341666666670.9989148187236150.98588129089417
24116.9115.128619774434117.0166666666670.9838651454872571.01538609799229
25114.62113.623901561071119.3704166666670.9518598052510621.00876662766586
26118.86116.914121369872121.21750.964498701671561.01664365781762
27124.71120.340430813613122.9679166666670.9786327529629021.03631006767090
28122.53124.971601014966124.7195833333331.002020674499520.980462753176431
29127.89128.591067689950126.1816666666671.019094699625810.994548084073455
30136.16130.314973819252127.1641666666671.024777476510691.04485306645463
31134.12130.17874846745127.7283333333331.019184585519661.03027569076327
32130.26130.758085159796128.271.019397249238300.996190788820533
33135.35131.867648577899128.4745833333331.026410400847631.02640792840136
34131.43130.175524408048128.7154166666671.011343689662001.00963680075542
35129.61129.249172180141129.3895833333330.9989148187236151.00279172248281
36123.96127.457679878821129.5479166666670.9838651454872570.972558108054796
37121.1122.744701536638128.95250.9518598052510620.986600631098144
38125.38123.68771537682128.2404166666670.964498701671561.01368191350309
39123.1124.807481567241127.53250.9786327529629020.98631907682296
40129.92126.876275313744126.6204166666671.002020674499521.02398970712791
41136.68127.955407371059125.5579166666671.019094699625811.06818463407053
42131.17127.809392889183124.7191666666671.024777476510691.02629389777112
43124.82126.606931155447124.223751.019184585519660.985885992661385
44122.47126.112182196393123.71251.019397249238300.971119505404158
45126.15126.494817800462123.241.026410400847630.99727405591424
46118.74124.327429522577122.9329166666671.011343689662000.955058754580278
47116.8122.132736525751122.2654166666670.9989148187236150.956336550891691
48116.64119.408843101114121.3670833333330.9838651454872570.976812076650225
49116.53115.065969166027120.8854166666670.9518598052510621.01272340418791
50117.68116.520284400023120.8091666666670.964498701671561.00995290739246
51119.46118.185807702506120.766250.9786327529629021.01078126318434
52126.19121.184797882587120.9404166666671.002020674499521.04130222771228
53124.39123.665867931217121.348751.019094699625811.00585555320071
54121.9124.682967604595121.6683333333331.024777476510690.97767964896841
55122.53124.446259834146122.103751.019184585519660.984601708105172
56122.93125.123366864632122.74251.019397249238300.98247036569113
57124.66126.616276364563123.3583333333331.026410400847630.984549566448076
58124.41124.856699386834123.456251.011343689662000.996422303416416
59120.93122.859030841864122.99250.9989148187236150.984298827455776
60120.18120.550536613690122.52750.9838651454872570.996926296438835
61123.44116.332339315263122.2158333333330.9518598052510621.06109789183793
62126.1117.744795876687122.078750.964498701671561.07096028373146
63125.82119.507369682653122.1166666666670.9786327529629021.05282210071320
64122.18122.286603115922122.041.002020674499520.999128251883646
65117.27124.290912680321121.9620833333331.019094699625810.943512260639852
66117.86125.061708280289122.0379166666671.024777476510690.942414761645921
67119.09124.318437100712121.9783333333331.019184585519660.957943188294136
68123.08124.069989707085121.7091666666671.019397249238300.992020715811917
69125.42124.684486455967121.476251.026410400847631.00589899806254
70121.81122.998776750284121.6191666666671.011343689662000.990335052252613
71121.66122.401611097790122.5345833333330.9989148187236150.99394116555216
72121.27121.915239559243123.9145833333330.9838651454872570.994707474130589
73120.92119.24661675234125.27750.9518598052510621.01403296205154
74122.16122.016721376174126.5079166666670.964498701671561.0011742540056
75124.17124.777714821005127.5020833333330.9786327529629020.995129620526573
76127.26128.995549040310128.7354166666671.002020674499520.986545667248038
77134.16132.621587226970130.1366666666671.019094699625811.01160001780402
78134.09134.392734194534131.1433333333331.024777476510690.99774739165515
79135.57134.419405663700131.8891666666671.019184585519661.00855973384661
80136.13135.367884470623132.7920833333331.019397249238301.00562995818659
81136.23137.453031842512133.916251.026410400847630.991102183588695
82140.6136.822159415147135.28751.011343689662001.02761132115588
83136.5136.385169916398136.5333333333330.9989148187236151.00084195432445
84130.59135.344998795144137.5645833333330.9838651454872570.964867569267625
85129.5132.330722992020139.0233333333330.9518598052510620.978608724202384
86135.25135.935643264672140.9391666666670.964498701671560.9949561185852
87138.06140.242966663349143.3050.9786327529629020.984434394713078
88146.28145.901307853575145.6070833333331.002020674499521.00259553633889
89145.04150.079953299935147.2679166666671.019094699625810.966418211166
90147.96152.527452613236148.8395833333331.024777476510690.97005488169518
91156.71152.171477842232149.3070833333331.019184585519661.02982505146249
92160.97151.109076994277148.233751.019397249238301.06525698655479
93168.17150.710832853461146.8329166666671.026410400847631.11584546920735
94163.91146.84794652533145.2008333333331.011343689662001.11618857381657
95153.05143.375908789432143.5316666666670.9989148187236151.06747361737582
96151.76139.544053247321141.83250.9838651454872571.08754186558583
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112120.74119.653793793674119.41251.002020674499521.00907790862193
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116122.08127.529144372834125.10251.019397249238300.957271379811791
117123.56129.966650981330126.62251.026410400847630.950705423791755
118126.92129.597372932124128.143751.011343689662000.979340839466501
119134.88129.730316151159129.871250.9989148187236151.03969530023222
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121131.65127.950978063109134.4220833333330.9518598052510621.02890968082375
122130.97131.619109700232136.463750.964498701671560.995068271608046
123136.77135.112076692294138.0620833333330.9786327529629021.01227072626144
124138.17139.281708772662139.0008333333331.002020674499520.992018271584557
125146.4141.167545528916138.52251.019094699625811.03706556242428
126152.07140.296733431081136.9045833333331.024777476510691.08391689728615
127153.05NANA1.01918458551966NA
128142.89NANA1.01939724923830NA
129141.11NANA1.02641040084763NA
130131.9NANA1.01134368966200NA
131118.42NANA0.998914818723615NA
132108.27NANA0.983865145487257NA


Figures (Output of Computation)

Input Parameters & R Code

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')