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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 14 Dec 2010 19:39:13 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/14/t12923554499x70fzgps4bu8yb.htm/, Retrieved Fri, 03 May 2024 01:17:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110099, Retrieved Fri, 03 May 2024 01:17:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W92
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Iko opgave 9] [2010-12-14 19:31:15] [74be16979710d4c4e7c6647856088456]
-    D  [Classical Decomposition] [opgave 9.2 ad] [2010-12-14 19:37:04] [74be16979710d4c4e7c6647856088456]
-   PD      [Classical Decomposition] [iko 9.2 multi] [2010-12-14 19:39:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
101.02
101.15
101.51
101.75
101.8
101.8
101.8
101.82
101.99
102.25
102.34
102.35
102.35
102.39
102.49
102.67
102.68
102.7
102.71
102.72
102.83
102.92
103.04
103.08
103.09
103.11
103.18
103.18
103.22
103.25
103.25
103.25
103.47
103.57
103.66
103.7
103.7
103.75
103.85
104.02
104.13
104.17
104.18
104.2
104.5
104.78
104.88
104.89
104.9
104.95
105.24
105.35
105.44
105.46
105.47
105.48
105.75
106.1
106.19
106.23
106.24
106.25
106.35
106.48
106.52
106.55
106.55
106.56
106.89
107.09
107.24
107.28
107.3
107.31
107.47
107.35
107.31
107.32
107.32
107.34
107.53
107.72
107.75
107.79
107.81
107.9
107.8
107.86
107.8
107.74
107.75
107.83
107.8
107.81
107.86
107.83




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 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 & 9 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110099&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]9 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=110099&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110099&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 time9 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1101.02NANA1.00024054631027NA
2101.15NANA0.99992862511327NA
3101.51NANA1.00024116109470NA
4101.75NANA1.00032381797376NA
5101.8NANA0.999958357905034NA
6101.8NANA0.999459961038287NA
7101.8101.742384830287101.853750.9989066168922311.00056628483605
8101.82101.783333684994101.9608333333330.9982591389013151.00036023888861
9101.99102.020781426591102.0533333333330.9996810304408580.99969828277964
10102.25102.232256147585102.13251.000976732652041.00017356412823
11102.34102.330374898780102.20751.001202210197681.00009405908294
12102.35102.365721891765102.2816666666671.000821801480540.999846414488415
13102.35102.381704952060102.3570833333331.000240546310270.999690326000387
14102.39102.425188891915102.43250.999928625113270.999656442987357
15102.49102.529720218012102.5051.000241161094700.999612598006436
16102.67102.601130001615102.5679166666671.000323817973761.00067124015480
17102.68102.620726480004102.6250.9999583579050341.00057759793785
18102.7102.629129657566102.6845833333330.9994599610382871.00069054802151
19102.71102.633492774773102.7458333333330.9989066168922311.00074544111438
20102.72102.627694539981102.8066666666670.9982591389013151.00089942057485
21102.83102.832605730062102.8654166666670.9996810304408580.999974660468408
22102.92103.015937514524102.9154166666671.000976732652040.999068711921297
23103.04103.082945226778102.9591666666671.001202210197680.999583391542764
24103.08103.089232652419103.0045833333331.000821801480540.999910440186801
25103.09103.074788297274103.051.000240546310271.00014757927693
26103.11103.087224969126103.0945833333330.999928625113271.00022092971153
27103.18103.168207492511103.1433333333331.000241161094701.00011430369661
28103.18103.230500403757103.1970833333331.000323817973760.999510799583851
29103.22103.245700453695103.250.9999583579050340.999751074828474
30103.25103.245879741857103.3016666666670.9994599610382871.0000399072404
31103.25103.239912333445103.3529166666670.9989066168922311.00009771091749
32103.25103.224986258090103.4050.9982591389013151.00024232255015
33103.47103.426582875649103.4595833333330.9996810304408581.00041978689757
34103.57103.623613805971103.52251.000976732652040.999482610150312
35103.66103.719960133017103.5954166666671.001202210197680.999421903624532
36103.7103.756864195823103.6716666666671.000821801480540.999451947625209
37103.7103.773706379008103.748751.000240546310270.999289739360962
38103.75103.819672687021103.8270833333330.999928625113270.999328906697375
39103.85103.934642282200103.9095833333331.000241161094700.999185620113361
40104.02104.036594680407104.0029166666671.000323817973760.99984049189174
41104.13104.099831551072104.1041666666670.9999583579050341.00028980305231
42104.17104.148308798344104.2045833333330.9994599610382871.00020827224087
43104.18104.190122252763104.3041666666670.9989066168922310.999902848249483
44104.2104.222413514376104.4041666666670.9982591389013150.99978494535273
45104.5104.478747160188104.5120833333330.9996810304408581.00020341782793
46104.78104.727607727359104.6254166666671.000976732652041.00050027183642
47104.88104.861330652642104.7354166666671.001202210197681.00017803843649
48104.89104.929910748975104.843751.000821801480540.999619643734655
49104.9104.976495635946104.951251.000240546310270.99927130701513
50104.95105.050834806692105.0583333333330.999928625113270.999040133218577
51105.24105.189111405073105.163751.000241161094701.00048378196419
52105.35105.304921921280105.2708333333331.000323817973761.00042807190678
53105.44105.376028405348105.3804166666670.9999583579050341.00060707919647
54105.46105.433864173230105.4908333333330.9994599610382871.00024788835139
55105.47105.487036010362105.60250.9989066168922310.999838501383619
56105.48105.528469221105105.71250.9982591389013150.999540700045562
57105.75105.779165567286105.8129166666670.9996810304408580.999724278716611
58106.1106.009692092430105.906251.000976732652041.00085188350034
59106.19106.125765610604105.9983333333331.001202210197681.00060526667606
60106.23106.175933891819106.088751.000821801480541.00050921245709
61106.24106.204707673436106.1791666666671.000240546310271.00033230472864
62106.25106.261581716933106.2691666666670.999928625113270.999891007486
63106.35106.387316962634106.3616666666671.000241161094700.99964923485525
64106.48106.484887224898106.4504166666671.000323817973760.99995410405152
65106.52106.530980308729106.5354166666670.9999583579050340.999896928492568
66106.55106.565336137455106.6229166666670.9994599610382870.99985608699779
67106.55106.594157510751106.7108333333330.9989066168922310.99958574173499
68106.56106.613244152045106.7991666666670.9982591389013150.999500585950009
69106.89106.855905343823106.890.9996810304408581.00031907133318
70107.09107.077400607259106.9729166666671.000976732652041.00011766621779
71107.24107.170770417498107.0420833333331.001202210197681.00064597447823
72107.28107.195104092993107.1070833333331.000821801480541.00079197560117
73107.3107.197029648755107.171251.000240546310271.00096057093730
74107.31107.228179387876107.2358333333330.999928625113271.00076305139741
75107.47107.320875379656107.2951.000241161094701.00138952109566
76107.35107.382677851530107.3479166666671.000323817973760.999695687869
77107.31107.390944496527107.3954166666670.9999583579050340.999246263296162
78107.32107.379896005701107.4379166666670.9994599610382870.999442204659072
79107.32107.362899394667107.4804166666670.9989066168922310.999600426265412
80107.34107.339061734287107.526250.9982591389013151.00000874113950
81107.53107.530273505608107.5645833333330.9996810304408580.999997456478075
82107.72107.704679359721107.5995833333331.000976732652041.00014224674703
83107.75107.770657408441107.641251.001202210197680.99980832066039
84107.79107.767657565257107.6791666666671.000821801480541.00020732040807
85107.81107.740493678917107.7145833333331.000240546310271.00064512718208
86107.9107.745225814445107.7529166666670.999928625113271.00143648300317
87107.8107.810576781442107.7845833333331.000241161094700.999901894769907
88107.86107.834490775981107.7995833333331.000323817973761.00023655904373
89107.8107.803427319163107.8079166666670.9999583579050340.999968207697584
90107.74107.755942816042107.8141666666670.9994599610382870.9998520469904
91107.75NANA0.998906616892231NA
92107.83NANA0.998259138901315NA
93107.8NANA0.999681030440858NA
94107.81NANA1.00097673265204NA
95107.86NANA1.00120221019768NA
96107.83NANA1.00082180148054NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.02 & NA & NA & 1.00024054631027 & NA \tabularnewline
2 & 101.15 & NA & NA & 0.99992862511327 & NA \tabularnewline
3 & 101.51 & NA & NA & 1.00024116109470 & NA \tabularnewline
4 & 101.75 & NA & NA & 1.00032381797376 & NA \tabularnewline
5 & 101.8 & NA & NA & 0.999958357905034 & NA \tabularnewline
6 & 101.8 & NA & NA & 0.999459961038287 & NA \tabularnewline
7 & 101.8 & 101.742384830287 & 101.85375 & 0.998906616892231 & 1.00056628483605 \tabularnewline
8 & 101.82 & 101.783333684994 & 101.960833333333 & 0.998259138901315 & 1.00036023888861 \tabularnewline
9 & 101.99 & 102.020781426591 & 102.053333333333 & 0.999681030440858 & 0.99969828277964 \tabularnewline
10 & 102.25 & 102.232256147585 & 102.1325 & 1.00097673265204 & 1.00017356412823 \tabularnewline
11 & 102.34 & 102.330374898780 & 102.2075 & 1.00120221019768 & 1.00009405908294 \tabularnewline
12 & 102.35 & 102.365721891765 & 102.281666666667 & 1.00082180148054 & 0.999846414488415 \tabularnewline
13 & 102.35 & 102.381704952060 & 102.357083333333 & 1.00024054631027 & 0.999690326000387 \tabularnewline
14 & 102.39 & 102.425188891915 & 102.4325 & 0.99992862511327 & 0.999656442987357 \tabularnewline
15 & 102.49 & 102.529720218012 & 102.505 & 1.00024116109470 & 0.999612598006436 \tabularnewline
16 & 102.67 & 102.601130001615 & 102.567916666667 & 1.00032381797376 & 1.00067124015480 \tabularnewline
17 & 102.68 & 102.620726480004 & 102.625 & 0.999958357905034 & 1.00057759793785 \tabularnewline
18 & 102.7 & 102.629129657566 & 102.684583333333 & 0.999459961038287 & 1.00069054802151 \tabularnewline
19 & 102.71 & 102.633492774773 & 102.745833333333 & 0.998906616892231 & 1.00074544111438 \tabularnewline
20 & 102.72 & 102.627694539981 & 102.806666666667 & 0.998259138901315 & 1.00089942057485 \tabularnewline
21 & 102.83 & 102.832605730062 & 102.865416666667 & 0.999681030440858 & 0.999974660468408 \tabularnewline
22 & 102.92 & 103.015937514524 & 102.915416666667 & 1.00097673265204 & 0.999068711921297 \tabularnewline
23 & 103.04 & 103.082945226778 & 102.959166666667 & 1.00120221019768 & 0.999583391542764 \tabularnewline
24 & 103.08 & 103.089232652419 & 103.004583333333 & 1.00082180148054 & 0.999910440186801 \tabularnewline
25 & 103.09 & 103.074788297274 & 103.05 & 1.00024054631027 & 1.00014757927693 \tabularnewline
26 & 103.11 & 103.087224969126 & 103.094583333333 & 0.99992862511327 & 1.00022092971153 \tabularnewline
27 & 103.18 & 103.168207492511 & 103.143333333333 & 1.00024116109470 & 1.00011430369661 \tabularnewline
28 & 103.18 & 103.230500403757 & 103.197083333333 & 1.00032381797376 & 0.999510799583851 \tabularnewline
29 & 103.22 & 103.245700453695 & 103.25 & 0.999958357905034 & 0.999751074828474 \tabularnewline
30 & 103.25 & 103.245879741857 & 103.301666666667 & 0.999459961038287 & 1.0000399072404 \tabularnewline
31 & 103.25 & 103.239912333445 & 103.352916666667 & 0.998906616892231 & 1.00009771091749 \tabularnewline
32 & 103.25 & 103.224986258090 & 103.405 & 0.998259138901315 & 1.00024232255015 \tabularnewline
33 & 103.47 & 103.426582875649 & 103.459583333333 & 0.999681030440858 & 1.00041978689757 \tabularnewline
34 & 103.57 & 103.623613805971 & 103.5225 & 1.00097673265204 & 0.999482610150312 \tabularnewline
35 & 103.66 & 103.719960133017 & 103.595416666667 & 1.00120221019768 & 0.999421903624532 \tabularnewline
36 & 103.7 & 103.756864195823 & 103.671666666667 & 1.00082180148054 & 0.999451947625209 \tabularnewline
37 & 103.7 & 103.773706379008 & 103.74875 & 1.00024054631027 & 0.999289739360962 \tabularnewline
38 & 103.75 & 103.819672687021 & 103.827083333333 & 0.99992862511327 & 0.999328906697375 \tabularnewline
39 & 103.85 & 103.934642282200 & 103.909583333333 & 1.00024116109470 & 0.999185620113361 \tabularnewline
40 & 104.02 & 104.036594680407 & 104.002916666667 & 1.00032381797376 & 0.99984049189174 \tabularnewline
41 & 104.13 & 104.099831551072 & 104.104166666667 & 0.999958357905034 & 1.00028980305231 \tabularnewline
42 & 104.17 & 104.148308798344 & 104.204583333333 & 0.999459961038287 & 1.00020827224087 \tabularnewline
43 & 104.18 & 104.190122252763 & 104.304166666667 & 0.998906616892231 & 0.999902848249483 \tabularnewline
44 & 104.2 & 104.222413514376 & 104.404166666667 & 0.998259138901315 & 0.99978494535273 \tabularnewline
45 & 104.5 & 104.478747160188 & 104.512083333333 & 0.999681030440858 & 1.00020341782793 \tabularnewline
46 & 104.78 & 104.727607727359 & 104.625416666667 & 1.00097673265204 & 1.00050027183642 \tabularnewline
47 & 104.88 & 104.861330652642 & 104.735416666667 & 1.00120221019768 & 1.00017803843649 \tabularnewline
48 & 104.89 & 104.929910748975 & 104.84375 & 1.00082180148054 & 0.999619643734655 \tabularnewline
49 & 104.9 & 104.976495635946 & 104.95125 & 1.00024054631027 & 0.99927130701513 \tabularnewline
50 & 104.95 & 105.050834806692 & 105.058333333333 & 0.99992862511327 & 0.999040133218577 \tabularnewline
51 & 105.24 & 105.189111405073 & 105.16375 & 1.00024116109470 & 1.00048378196419 \tabularnewline
52 & 105.35 & 105.304921921280 & 105.270833333333 & 1.00032381797376 & 1.00042807190678 \tabularnewline
53 & 105.44 & 105.376028405348 & 105.380416666667 & 0.999958357905034 & 1.00060707919647 \tabularnewline
54 & 105.46 & 105.433864173230 & 105.490833333333 & 0.999459961038287 & 1.00024788835139 \tabularnewline
55 & 105.47 & 105.487036010362 & 105.6025 & 0.998906616892231 & 0.999838501383619 \tabularnewline
56 & 105.48 & 105.528469221105 & 105.7125 & 0.998259138901315 & 0.999540700045562 \tabularnewline
57 & 105.75 & 105.779165567286 & 105.812916666667 & 0.999681030440858 & 0.999724278716611 \tabularnewline
58 & 106.1 & 106.009692092430 & 105.90625 & 1.00097673265204 & 1.00085188350034 \tabularnewline
59 & 106.19 & 106.125765610604 & 105.998333333333 & 1.00120221019768 & 1.00060526667606 \tabularnewline
60 & 106.23 & 106.175933891819 & 106.08875 & 1.00082180148054 & 1.00050921245709 \tabularnewline
61 & 106.24 & 106.204707673436 & 106.179166666667 & 1.00024054631027 & 1.00033230472864 \tabularnewline
62 & 106.25 & 106.261581716933 & 106.269166666667 & 0.99992862511327 & 0.999891007486 \tabularnewline
63 & 106.35 & 106.387316962634 & 106.361666666667 & 1.00024116109470 & 0.99964923485525 \tabularnewline
64 & 106.48 & 106.484887224898 & 106.450416666667 & 1.00032381797376 & 0.99995410405152 \tabularnewline
65 & 106.52 & 106.530980308729 & 106.535416666667 & 0.999958357905034 & 0.999896928492568 \tabularnewline
66 & 106.55 & 106.565336137455 & 106.622916666667 & 0.999459961038287 & 0.99985608699779 \tabularnewline
67 & 106.55 & 106.594157510751 & 106.710833333333 & 0.998906616892231 & 0.99958574173499 \tabularnewline
68 & 106.56 & 106.613244152045 & 106.799166666667 & 0.998259138901315 & 0.999500585950009 \tabularnewline
69 & 106.89 & 106.855905343823 & 106.89 & 0.999681030440858 & 1.00031907133318 \tabularnewline
70 & 107.09 & 107.077400607259 & 106.972916666667 & 1.00097673265204 & 1.00011766621779 \tabularnewline
71 & 107.24 & 107.170770417498 & 107.042083333333 & 1.00120221019768 & 1.00064597447823 \tabularnewline
72 & 107.28 & 107.195104092993 & 107.107083333333 & 1.00082180148054 & 1.00079197560117 \tabularnewline
73 & 107.3 & 107.197029648755 & 107.17125 & 1.00024054631027 & 1.00096057093730 \tabularnewline
74 & 107.31 & 107.228179387876 & 107.235833333333 & 0.99992862511327 & 1.00076305139741 \tabularnewline
75 & 107.47 & 107.320875379656 & 107.295 & 1.00024116109470 & 1.00138952109566 \tabularnewline
76 & 107.35 & 107.382677851530 & 107.347916666667 & 1.00032381797376 & 0.999695687869 \tabularnewline
77 & 107.31 & 107.390944496527 & 107.395416666667 & 0.999958357905034 & 0.999246263296162 \tabularnewline
78 & 107.32 & 107.379896005701 & 107.437916666667 & 0.999459961038287 & 0.999442204659072 \tabularnewline
79 & 107.32 & 107.362899394667 & 107.480416666667 & 0.998906616892231 & 0.999600426265412 \tabularnewline
80 & 107.34 & 107.339061734287 & 107.52625 & 0.998259138901315 & 1.00000874113950 \tabularnewline
81 & 107.53 & 107.530273505608 & 107.564583333333 & 0.999681030440858 & 0.999997456478075 \tabularnewline
82 & 107.72 & 107.704679359721 & 107.599583333333 & 1.00097673265204 & 1.00014224674703 \tabularnewline
83 & 107.75 & 107.770657408441 & 107.64125 & 1.00120221019768 & 0.99980832066039 \tabularnewline
84 & 107.79 & 107.767657565257 & 107.679166666667 & 1.00082180148054 & 1.00020732040807 \tabularnewline
85 & 107.81 & 107.740493678917 & 107.714583333333 & 1.00024054631027 & 1.00064512718208 \tabularnewline
86 & 107.9 & 107.745225814445 & 107.752916666667 & 0.99992862511327 & 1.00143648300317 \tabularnewline
87 & 107.8 & 107.810576781442 & 107.784583333333 & 1.00024116109470 & 0.999901894769907 \tabularnewline
88 & 107.86 & 107.834490775981 & 107.799583333333 & 1.00032381797376 & 1.00023655904373 \tabularnewline
89 & 107.8 & 107.803427319163 & 107.807916666667 & 0.999958357905034 & 0.999968207697584 \tabularnewline
90 & 107.74 & 107.755942816042 & 107.814166666667 & 0.999459961038287 & 0.9998520469904 \tabularnewline
91 & 107.75 & NA & NA & 0.998906616892231 & NA \tabularnewline
92 & 107.83 & NA & NA & 0.998259138901315 & NA \tabularnewline
93 & 107.8 & NA & NA & 0.999681030440858 & NA \tabularnewline
94 & 107.81 & NA & NA & 1.00097673265204 & NA \tabularnewline
95 & 107.86 & NA & NA & 1.00120221019768 & NA \tabularnewline
96 & 107.83 & NA & NA & 1.00082180148054 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110099&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]101.02[/C][C]NA[/C][C]NA[/C][C]1.00024054631027[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.15[/C][C]NA[/C][C]NA[/C][C]0.99992862511327[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]101.51[/C][C]NA[/C][C]NA[/C][C]1.00024116109470[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]101.75[/C][C]NA[/C][C]NA[/C][C]1.00032381797376[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.8[/C][C]NA[/C][C]NA[/C][C]0.999958357905034[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.8[/C][C]NA[/C][C]NA[/C][C]0.999459961038287[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]101.8[/C][C]101.742384830287[/C][C]101.85375[/C][C]0.998906616892231[/C][C]1.00056628483605[/C][/ROW]
[ROW][C]8[/C][C]101.82[/C][C]101.783333684994[/C][C]101.960833333333[/C][C]0.998259138901315[/C][C]1.00036023888861[/C][/ROW]
[ROW][C]9[/C][C]101.99[/C][C]102.020781426591[/C][C]102.053333333333[/C][C]0.999681030440858[/C][C]0.99969828277964[/C][/ROW]
[ROW][C]10[/C][C]102.25[/C][C]102.232256147585[/C][C]102.1325[/C][C]1.00097673265204[/C][C]1.00017356412823[/C][/ROW]
[ROW][C]11[/C][C]102.34[/C][C]102.330374898780[/C][C]102.2075[/C][C]1.00120221019768[/C][C]1.00009405908294[/C][/ROW]
[ROW][C]12[/C][C]102.35[/C][C]102.365721891765[/C][C]102.281666666667[/C][C]1.00082180148054[/C][C]0.999846414488415[/C][/ROW]
[ROW][C]13[/C][C]102.35[/C][C]102.381704952060[/C][C]102.357083333333[/C][C]1.00024054631027[/C][C]0.999690326000387[/C][/ROW]
[ROW][C]14[/C][C]102.39[/C][C]102.425188891915[/C][C]102.4325[/C][C]0.99992862511327[/C][C]0.999656442987357[/C][/ROW]
[ROW][C]15[/C][C]102.49[/C][C]102.529720218012[/C][C]102.505[/C][C]1.00024116109470[/C][C]0.999612598006436[/C][/ROW]
[ROW][C]16[/C][C]102.67[/C][C]102.601130001615[/C][C]102.567916666667[/C][C]1.00032381797376[/C][C]1.00067124015480[/C][/ROW]
[ROW][C]17[/C][C]102.68[/C][C]102.620726480004[/C][C]102.625[/C][C]0.999958357905034[/C][C]1.00057759793785[/C][/ROW]
[ROW][C]18[/C][C]102.7[/C][C]102.629129657566[/C][C]102.684583333333[/C][C]0.999459961038287[/C][C]1.00069054802151[/C][/ROW]
[ROW][C]19[/C][C]102.71[/C][C]102.633492774773[/C][C]102.745833333333[/C][C]0.998906616892231[/C][C]1.00074544111438[/C][/ROW]
[ROW][C]20[/C][C]102.72[/C][C]102.627694539981[/C][C]102.806666666667[/C][C]0.998259138901315[/C][C]1.00089942057485[/C][/ROW]
[ROW][C]21[/C][C]102.83[/C][C]102.832605730062[/C][C]102.865416666667[/C][C]0.999681030440858[/C][C]0.999974660468408[/C][/ROW]
[ROW][C]22[/C][C]102.92[/C][C]103.015937514524[/C][C]102.915416666667[/C][C]1.00097673265204[/C][C]0.999068711921297[/C][/ROW]
[ROW][C]23[/C][C]103.04[/C][C]103.082945226778[/C][C]102.959166666667[/C][C]1.00120221019768[/C][C]0.999583391542764[/C][/ROW]
[ROW][C]24[/C][C]103.08[/C][C]103.089232652419[/C][C]103.004583333333[/C][C]1.00082180148054[/C][C]0.999910440186801[/C][/ROW]
[ROW][C]25[/C][C]103.09[/C][C]103.074788297274[/C][C]103.05[/C][C]1.00024054631027[/C][C]1.00014757927693[/C][/ROW]
[ROW][C]26[/C][C]103.11[/C][C]103.087224969126[/C][C]103.094583333333[/C][C]0.99992862511327[/C][C]1.00022092971153[/C][/ROW]
[ROW][C]27[/C][C]103.18[/C][C]103.168207492511[/C][C]103.143333333333[/C][C]1.00024116109470[/C][C]1.00011430369661[/C][/ROW]
[ROW][C]28[/C][C]103.18[/C][C]103.230500403757[/C][C]103.197083333333[/C][C]1.00032381797376[/C][C]0.999510799583851[/C][/ROW]
[ROW][C]29[/C][C]103.22[/C][C]103.245700453695[/C][C]103.25[/C][C]0.999958357905034[/C][C]0.999751074828474[/C][/ROW]
[ROW][C]30[/C][C]103.25[/C][C]103.245879741857[/C][C]103.301666666667[/C][C]0.999459961038287[/C][C]1.0000399072404[/C][/ROW]
[ROW][C]31[/C][C]103.25[/C][C]103.239912333445[/C][C]103.352916666667[/C][C]0.998906616892231[/C][C]1.00009771091749[/C][/ROW]
[ROW][C]32[/C][C]103.25[/C][C]103.224986258090[/C][C]103.405[/C][C]0.998259138901315[/C][C]1.00024232255015[/C][/ROW]
[ROW][C]33[/C][C]103.47[/C][C]103.426582875649[/C][C]103.459583333333[/C][C]0.999681030440858[/C][C]1.00041978689757[/C][/ROW]
[ROW][C]34[/C][C]103.57[/C][C]103.623613805971[/C][C]103.5225[/C][C]1.00097673265204[/C][C]0.999482610150312[/C][/ROW]
[ROW][C]35[/C][C]103.66[/C][C]103.719960133017[/C][C]103.595416666667[/C][C]1.00120221019768[/C][C]0.999421903624532[/C][/ROW]
[ROW][C]36[/C][C]103.7[/C][C]103.756864195823[/C][C]103.671666666667[/C][C]1.00082180148054[/C][C]0.999451947625209[/C][/ROW]
[ROW][C]37[/C][C]103.7[/C][C]103.773706379008[/C][C]103.74875[/C][C]1.00024054631027[/C][C]0.999289739360962[/C][/ROW]
[ROW][C]38[/C][C]103.75[/C][C]103.819672687021[/C][C]103.827083333333[/C][C]0.99992862511327[/C][C]0.999328906697375[/C][/ROW]
[ROW][C]39[/C][C]103.85[/C][C]103.934642282200[/C][C]103.909583333333[/C][C]1.00024116109470[/C][C]0.999185620113361[/C][/ROW]
[ROW][C]40[/C][C]104.02[/C][C]104.036594680407[/C][C]104.002916666667[/C][C]1.00032381797376[/C][C]0.99984049189174[/C][/ROW]
[ROW][C]41[/C][C]104.13[/C][C]104.099831551072[/C][C]104.104166666667[/C][C]0.999958357905034[/C][C]1.00028980305231[/C][/ROW]
[ROW][C]42[/C][C]104.17[/C][C]104.148308798344[/C][C]104.204583333333[/C][C]0.999459961038287[/C][C]1.00020827224087[/C][/ROW]
[ROW][C]43[/C][C]104.18[/C][C]104.190122252763[/C][C]104.304166666667[/C][C]0.998906616892231[/C][C]0.999902848249483[/C][/ROW]
[ROW][C]44[/C][C]104.2[/C][C]104.222413514376[/C][C]104.404166666667[/C][C]0.998259138901315[/C][C]0.99978494535273[/C][/ROW]
[ROW][C]45[/C][C]104.5[/C][C]104.478747160188[/C][C]104.512083333333[/C][C]0.999681030440858[/C][C]1.00020341782793[/C][/ROW]
[ROW][C]46[/C][C]104.78[/C][C]104.727607727359[/C][C]104.625416666667[/C][C]1.00097673265204[/C][C]1.00050027183642[/C][/ROW]
[ROW][C]47[/C][C]104.88[/C][C]104.861330652642[/C][C]104.735416666667[/C][C]1.00120221019768[/C][C]1.00017803843649[/C][/ROW]
[ROW][C]48[/C][C]104.89[/C][C]104.929910748975[/C][C]104.84375[/C][C]1.00082180148054[/C][C]0.999619643734655[/C][/ROW]
[ROW][C]49[/C][C]104.9[/C][C]104.976495635946[/C][C]104.95125[/C][C]1.00024054631027[/C][C]0.99927130701513[/C][/ROW]
[ROW][C]50[/C][C]104.95[/C][C]105.050834806692[/C][C]105.058333333333[/C][C]0.99992862511327[/C][C]0.999040133218577[/C][/ROW]
[ROW][C]51[/C][C]105.24[/C][C]105.189111405073[/C][C]105.16375[/C][C]1.00024116109470[/C][C]1.00048378196419[/C][/ROW]
[ROW][C]52[/C][C]105.35[/C][C]105.304921921280[/C][C]105.270833333333[/C][C]1.00032381797376[/C][C]1.00042807190678[/C][/ROW]
[ROW][C]53[/C][C]105.44[/C][C]105.376028405348[/C][C]105.380416666667[/C][C]0.999958357905034[/C][C]1.00060707919647[/C][/ROW]
[ROW][C]54[/C][C]105.46[/C][C]105.433864173230[/C][C]105.490833333333[/C][C]0.999459961038287[/C][C]1.00024788835139[/C][/ROW]
[ROW][C]55[/C][C]105.47[/C][C]105.487036010362[/C][C]105.6025[/C][C]0.998906616892231[/C][C]0.999838501383619[/C][/ROW]
[ROW][C]56[/C][C]105.48[/C][C]105.528469221105[/C][C]105.7125[/C][C]0.998259138901315[/C][C]0.999540700045562[/C][/ROW]
[ROW][C]57[/C][C]105.75[/C][C]105.779165567286[/C][C]105.812916666667[/C][C]0.999681030440858[/C][C]0.999724278716611[/C][/ROW]
[ROW][C]58[/C][C]106.1[/C][C]106.009692092430[/C][C]105.90625[/C][C]1.00097673265204[/C][C]1.00085188350034[/C][/ROW]
[ROW][C]59[/C][C]106.19[/C][C]106.125765610604[/C][C]105.998333333333[/C][C]1.00120221019768[/C][C]1.00060526667606[/C][/ROW]
[ROW][C]60[/C][C]106.23[/C][C]106.175933891819[/C][C]106.08875[/C][C]1.00082180148054[/C][C]1.00050921245709[/C][/ROW]
[ROW][C]61[/C][C]106.24[/C][C]106.204707673436[/C][C]106.179166666667[/C][C]1.00024054631027[/C][C]1.00033230472864[/C][/ROW]
[ROW][C]62[/C][C]106.25[/C][C]106.261581716933[/C][C]106.269166666667[/C][C]0.99992862511327[/C][C]0.999891007486[/C][/ROW]
[ROW][C]63[/C][C]106.35[/C][C]106.387316962634[/C][C]106.361666666667[/C][C]1.00024116109470[/C][C]0.99964923485525[/C][/ROW]
[ROW][C]64[/C][C]106.48[/C][C]106.484887224898[/C][C]106.450416666667[/C][C]1.00032381797376[/C][C]0.99995410405152[/C][/ROW]
[ROW][C]65[/C][C]106.52[/C][C]106.530980308729[/C][C]106.535416666667[/C][C]0.999958357905034[/C][C]0.999896928492568[/C][/ROW]
[ROW][C]66[/C][C]106.55[/C][C]106.565336137455[/C][C]106.622916666667[/C][C]0.999459961038287[/C][C]0.99985608699779[/C][/ROW]
[ROW][C]67[/C][C]106.55[/C][C]106.594157510751[/C][C]106.710833333333[/C][C]0.998906616892231[/C][C]0.99958574173499[/C][/ROW]
[ROW][C]68[/C][C]106.56[/C][C]106.613244152045[/C][C]106.799166666667[/C][C]0.998259138901315[/C][C]0.999500585950009[/C][/ROW]
[ROW][C]69[/C][C]106.89[/C][C]106.855905343823[/C][C]106.89[/C][C]0.999681030440858[/C][C]1.00031907133318[/C][/ROW]
[ROW][C]70[/C][C]107.09[/C][C]107.077400607259[/C][C]106.972916666667[/C][C]1.00097673265204[/C][C]1.00011766621779[/C][/ROW]
[ROW][C]71[/C][C]107.24[/C][C]107.170770417498[/C][C]107.042083333333[/C][C]1.00120221019768[/C][C]1.00064597447823[/C][/ROW]
[ROW][C]72[/C][C]107.28[/C][C]107.195104092993[/C][C]107.107083333333[/C][C]1.00082180148054[/C][C]1.00079197560117[/C][/ROW]
[ROW][C]73[/C][C]107.3[/C][C]107.197029648755[/C][C]107.17125[/C][C]1.00024054631027[/C][C]1.00096057093730[/C][/ROW]
[ROW][C]74[/C][C]107.31[/C][C]107.228179387876[/C][C]107.235833333333[/C][C]0.99992862511327[/C][C]1.00076305139741[/C][/ROW]
[ROW][C]75[/C][C]107.47[/C][C]107.320875379656[/C][C]107.295[/C][C]1.00024116109470[/C][C]1.00138952109566[/C][/ROW]
[ROW][C]76[/C][C]107.35[/C][C]107.382677851530[/C][C]107.347916666667[/C][C]1.00032381797376[/C][C]0.999695687869[/C][/ROW]
[ROW][C]77[/C][C]107.31[/C][C]107.390944496527[/C][C]107.395416666667[/C][C]0.999958357905034[/C][C]0.999246263296162[/C][/ROW]
[ROW][C]78[/C][C]107.32[/C][C]107.379896005701[/C][C]107.437916666667[/C][C]0.999459961038287[/C][C]0.999442204659072[/C][/ROW]
[ROW][C]79[/C][C]107.32[/C][C]107.362899394667[/C][C]107.480416666667[/C][C]0.998906616892231[/C][C]0.999600426265412[/C][/ROW]
[ROW][C]80[/C][C]107.34[/C][C]107.339061734287[/C][C]107.52625[/C][C]0.998259138901315[/C][C]1.00000874113950[/C][/ROW]
[ROW][C]81[/C][C]107.53[/C][C]107.530273505608[/C][C]107.564583333333[/C][C]0.999681030440858[/C][C]0.999997456478075[/C][/ROW]
[ROW][C]82[/C][C]107.72[/C][C]107.704679359721[/C][C]107.599583333333[/C][C]1.00097673265204[/C][C]1.00014224674703[/C][/ROW]
[ROW][C]83[/C][C]107.75[/C][C]107.770657408441[/C][C]107.64125[/C][C]1.00120221019768[/C][C]0.99980832066039[/C][/ROW]
[ROW][C]84[/C][C]107.79[/C][C]107.767657565257[/C][C]107.679166666667[/C][C]1.00082180148054[/C][C]1.00020732040807[/C][/ROW]
[ROW][C]85[/C][C]107.81[/C][C]107.740493678917[/C][C]107.714583333333[/C][C]1.00024054631027[/C][C]1.00064512718208[/C][/ROW]
[ROW][C]86[/C][C]107.9[/C][C]107.745225814445[/C][C]107.752916666667[/C][C]0.99992862511327[/C][C]1.00143648300317[/C][/ROW]
[ROW][C]87[/C][C]107.8[/C][C]107.810576781442[/C][C]107.784583333333[/C][C]1.00024116109470[/C][C]0.999901894769907[/C][/ROW]
[ROW][C]88[/C][C]107.86[/C][C]107.834490775981[/C][C]107.799583333333[/C][C]1.00032381797376[/C][C]1.00023655904373[/C][/ROW]
[ROW][C]89[/C][C]107.8[/C][C]107.803427319163[/C][C]107.807916666667[/C][C]0.999958357905034[/C][C]0.999968207697584[/C][/ROW]
[ROW][C]90[/C][C]107.74[/C][C]107.755942816042[/C][C]107.814166666667[/C][C]0.999459961038287[/C][C]0.9998520469904[/C][/ROW]
[ROW][C]91[/C][C]107.75[/C][C]NA[/C][C]NA[/C][C]0.998906616892231[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]107.83[/C][C]NA[/C][C]NA[/C][C]0.998259138901315[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]107.8[/C][C]NA[/C][C]NA[/C][C]0.999681030440858[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]107.81[/C][C]NA[/C][C]NA[/C][C]1.00097673265204[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]107.86[/C][C]NA[/C][C]NA[/C][C]1.00120221019768[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]107.83[/C][C]NA[/C][C]NA[/C][C]1.00082180148054[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110099&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110099&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
1101.02NANA1.00024054631027NA
2101.15NANA0.99992862511327NA
3101.51NANA1.00024116109470NA
4101.75NANA1.00032381797376NA
5101.8NANA0.999958357905034NA
6101.8NANA0.999459961038287NA
7101.8101.742384830287101.853750.9989066168922311.00056628483605
8101.82101.783333684994101.9608333333330.9982591389013151.00036023888861
9101.99102.020781426591102.0533333333330.9996810304408580.99969828277964
10102.25102.232256147585102.13251.000976732652041.00017356412823
11102.34102.330374898780102.20751.001202210197681.00009405908294
12102.35102.365721891765102.2816666666671.000821801480540.999846414488415
13102.35102.381704952060102.3570833333331.000240546310270.999690326000387
14102.39102.425188891915102.43250.999928625113270.999656442987357
15102.49102.529720218012102.5051.000241161094700.999612598006436
16102.67102.601130001615102.5679166666671.000323817973761.00067124015480
17102.68102.620726480004102.6250.9999583579050341.00057759793785
18102.7102.629129657566102.6845833333330.9994599610382871.00069054802151
19102.71102.633492774773102.7458333333330.9989066168922311.00074544111438
20102.72102.627694539981102.8066666666670.9982591389013151.00089942057485
21102.83102.832605730062102.8654166666670.9996810304408580.999974660468408
22102.92103.015937514524102.9154166666671.000976732652040.999068711921297
23103.04103.082945226778102.9591666666671.001202210197680.999583391542764
24103.08103.089232652419103.0045833333331.000821801480540.999910440186801
25103.09103.074788297274103.051.000240546310271.00014757927693
26103.11103.087224969126103.0945833333330.999928625113271.00022092971153
27103.18103.168207492511103.1433333333331.000241161094701.00011430369661
28103.18103.230500403757103.1970833333331.000323817973760.999510799583851
29103.22103.245700453695103.250.9999583579050340.999751074828474
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92107.83NANA0.998259138901315NA
93107.8NANA0.999681030440858NA
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96107.83NANA1.00082180148054NA



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')