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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 13 Jan 2013 16:47:37 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/13/t135811369613ae0vaem5wqzyq.htm/, Retrieved Sat, 04 May 2024 21:46:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205299, Retrieved Sat, 04 May 2024 21:46:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-01-13 21:47:37] [6f8d6446e5f32bdf63bde1c9ab07ce03] [Current]
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Dataseries X:
103.51
104.35
104.51
105.25
105.2
105.87
107.63
107.77
106.58
106.32
106.3
106.38
106.42
107.35
107.58
108.2
108.29
108.76
110.69
110.56
108.81
108.81
108.81
109.74
109.57
110.44
111.2
111.44
111.83
112.87
115.07
115.35
113.81
114.66
114.51
115.11
114.54
115.39
115.65
116.46
116.18
116.63
118.84
118.77
117.83
117.66
117.36
118
117.34
118.04
118.17
118.82
119
118.89
121.4
121.01
120.21
120.39
120.09
120.76
120.33
120.84
121.49
122.29
121.91
122.46
124.94
124.6
123.09
123.25
123.01
123.82




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205299&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205299&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1103.51NANA0.991569381028703NA
2104.35NANA0.995889830743309NA
3104.51NANA0.997003989620874NA
4105.25NANA0.999958404438729NA
5105.2NANA0.997585421259409NA
6105.87NANA0.999318460671876NA
7107.63107.62289559047105.9270833333331.016009241487381.00006601206454
8107.77107.581164369761106.1733333333331.013259742274531.00175528524296
9106.58106.393282588161106.426250.9996902323267131.00175497369098
10106.32106.485455721814106.6770833333330.9982036665651910.998446212952819
11106.3106.33328885882106.928750.9944312344324570.999686938500851
12106.38106.864999501443107.1779166666670.9970803951508350.995461568299201
13106.42106.520167064826107.4258333333330.9915693810287030.999059642248167
14107.35107.227043122036107.6695833333330.9958898307433091.00114669652715
15107.58107.555544145313107.878750.9970039896208741.00022737883836
16108.2108.070921209051108.0754166666670.9999584044387291.00119438966102
17108.29108.022290359299108.283750.9975854212594091.00247828147145
18108.76108.454367005951108.5283333333330.9993184606718761.00281807918378
19110.69110.541382136643108.7995833333331.016009241487381.00134445454259
20110.56110.505685300901109.0595833333331.013259742274531.0004915104499
21108.81109.305296927409109.3391666666670.9996902323267130.995468683208115
22108.81109.428076947209109.6250.9982036665651910.994351751721752
23108.81109.295450898385109.90750.9944312344324570.995558361355436
24109.74109.904432905995110.226250.9970803951508350.998503855562083
25109.57109.647742154154110.580.9915693810287030.999290982626485
26110.44110.506010389758110.9620833333330.9958898307433090.999402653398441
27111.2111.036334324077111.370.9970039896208741.00147398306077
28111.44111.817432031015111.8220833333330.9999584044387290.996624568958891
29111.83112.032168092169112.3033333333330.9975854212594090.99819544604365
30112.87112.687729834972112.7645833333330.9993184606718761.00161748013998
31115.07115.007589427348113.1954166666671.016009241487381.00054266481858
32115.35115.115172745131113.608751.013259742274531.00203993313191
33113.81113.965103022842114.0004166666670.9996902323267130.998639030556477
34114.66114.189508436725114.3950.9982036665651911.00412026962648
35114.51114.146203590677114.7854166666670.9944312344324571.00318710914493
36115.11114.787218691081115.1233333333330.9970803951508351.00281199695053
37114.54114.463877268592115.4370833333330.9915693810287031.00066503715604
38115.39115.260969377461115.7366666666670.9958898307433091.00111946501262
39115.65115.69898964887116.0466666666670.9970039896208740.99957657669251
40116.46116.334327473731116.3391666666670.9999584044387291.00108027036385
41116.18116.301418034567116.5829166666670.9975854212594090.998956005553336
42116.63116.742464489148116.8220833333330.9993184606718760.999036644552259
43118.84118.933195134144117.0591666666671.016009241487380.999216407714942
44118.77118.841435447346117.286251.013259742274530.999398901173846
45117.83117.465268448776117.5016666666670.9996902323267131.00310501611277
46117.66117.493562573056117.7050.9982036665651911.00141656634882
47117.36117.264159856971117.9208333333330.9944312344324571.00081730123804
48118117.787599780156118.13250.9970803951508351.00180324771233
49117.34117.335710088397118.3333333333330.9915693810287031.00003656100602
50118.04118.046141270773118.5333333333330.9958898307433090.999947975675381
51118.17118.370129504396118.7258333333330.9970039896208740.998309290483721
52118.82118.933802675937118.938750.9999584044387290.999043142711522
53119118.878513706154119.166250.9975854212594091.00102193651366
54118.89119.313627611919119.3950.9993184606718760.996449461638225
55121.4121.549842268158119.6345833333331.016009241487380.998767236013127
56121.01121.465355988278119.8758333333331.013259742274530.996251145155154
57120.21120.093620684602120.1308333333330.9996902323267131.00096907158544
58120.39120.197446754864120.413750.9982036665651911.0016019745039
59120.09120.007547024961120.6795833333330.9944312344324571.00068706491452
60120.76120.596458343329120.9495833333330.9970803951508351.00135610662965
61120.33120.223655910643121.2458333333330.9915693810287031.00088455211707
62120.84121.043354707215121.5429166666670.9958898307433090.998319984540196
63121.49121.447548485693121.81250.9970039896208741.00034954607842
64122.29122.046589859088122.0516666666670.9999584044387291.00199440345849
65121.91121.997215129366122.29250.9975854212594090.999285105571682
66122.46122.458149701499122.5416666666670.9993184606718761.00001510963954
67124.94NANA1.01600924148738NA
68124.6NANA1.01325974227453NA
69123.09NANA0.999690232326713NA
70123.25NANA0.998203666565191NA
71123.01NANA0.994431234432457NA
72123.82NANA0.997080395150835NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 103.51 & NA & NA & 0.991569381028703 & NA \tabularnewline
2 & 104.35 & NA & NA & 0.995889830743309 & NA \tabularnewline
3 & 104.51 & NA & NA & 0.997003989620874 & NA \tabularnewline
4 & 105.25 & NA & NA & 0.999958404438729 & NA \tabularnewline
5 & 105.2 & NA & NA & 0.997585421259409 & NA \tabularnewline
6 & 105.87 & NA & NA & 0.999318460671876 & NA \tabularnewline
7 & 107.63 & 107.62289559047 & 105.927083333333 & 1.01600924148738 & 1.00006601206454 \tabularnewline
8 & 107.77 & 107.581164369761 & 106.173333333333 & 1.01325974227453 & 1.00175528524296 \tabularnewline
9 & 106.58 & 106.393282588161 & 106.42625 & 0.999690232326713 & 1.00175497369098 \tabularnewline
10 & 106.32 & 106.485455721814 & 106.677083333333 & 0.998203666565191 & 0.998446212952819 \tabularnewline
11 & 106.3 & 106.33328885882 & 106.92875 & 0.994431234432457 & 0.999686938500851 \tabularnewline
12 & 106.38 & 106.864999501443 & 107.177916666667 & 0.997080395150835 & 0.995461568299201 \tabularnewline
13 & 106.42 & 106.520167064826 & 107.425833333333 & 0.991569381028703 & 0.999059642248167 \tabularnewline
14 & 107.35 & 107.227043122036 & 107.669583333333 & 0.995889830743309 & 1.00114669652715 \tabularnewline
15 & 107.58 & 107.555544145313 & 107.87875 & 0.997003989620874 & 1.00022737883836 \tabularnewline
16 & 108.2 & 108.070921209051 & 108.075416666667 & 0.999958404438729 & 1.00119438966102 \tabularnewline
17 & 108.29 & 108.022290359299 & 108.28375 & 0.997585421259409 & 1.00247828147145 \tabularnewline
18 & 108.76 & 108.454367005951 & 108.528333333333 & 0.999318460671876 & 1.00281807918378 \tabularnewline
19 & 110.69 & 110.541382136643 & 108.799583333333 & 1.01600924148738 & 1.00134445454259 \tabularnewline
20 & 110.56 & 110.505685300901 & 109.059583333333 & 1.01325974227453 & 1.0004915104499 \tabularnewline
21 & 108.81 & 109.305296927409 & 109.339166666667 & 0.999690232326713 & 0.995468683208115 \tabularnewline
22 & 108.81 & 109.428076947209 & 109.625 & 0.998203666565191 & 0.994351751721752 \tabularnewline
23 & 108.81 & 109.295450898385 & 109.9075 & 0.994431234432457 & 0.995558361355436 \tabularnewline
24 & 109.74 & 109.904432905995 & 110.22625 & 0.997080395150835 & 0.998503855562083 \tabularnewline
25 & 109.57 & 109.647742154154 & 110.58 & 0.991569381028703 & 0.999290982626485 \tabularnewline
26 & 110.44 & 110.506010389758 & 110.962083333333 & 0.995889830743309 & 0.999402653398441 \tabularnewline
27 & 111.2 & 111.036334324077 & 111.37 & 0.997003989620874 & 1.00147398306077 \tabularnewline
28 & 111.44 & 111.817432031015 & 111.822083333333 & 0.999958404438729 & 0.996624568958891 \tabularnewline
29 & 111.83 & 112.032168092169 & 112.303333333333 & 0.997585421259409 & 0.99819544604365 \tabularnewline
30 & 112.87 & 112.687729834972 & 112.764583333333 & 0.999318460671876 & 1.00161748013998 \tabularnewline
31 & 115.07 & 115.007589427348 & 113.195416666667 & 1.01600924148738 & 1.00054266481858 \tabularnewline
32 & 115.35 & 115.115172745131 & 113.60875 & 1.01325974227453 & 1.00203993313191 \tabularnewline
33 & 113.81 & 113.965103022842 & 114.000416666667 & 0.999690232326713 & 0.998639030556477 \tabularnewline
34 & 114.66 & 114.189508436725 & 114.395 & 0.998203666565191 & 1.00412026962648 \tabularnewline
35 & 114.51 & 114.146203590677 & 114.785416666667 & 0.994431234432457 & 1.00318710914493 \tabularnewline
36 & 115.11 & 114.787218691081 & 115.123333333333 & 0.997080395150835 & 1.00281199695053 \tabularnewline
37 & 114.54 & 114.463877268592 & 115.437083333333 & 0.991569381028703 & 1.00066503715604 \tabularnewline
38 & 115.39 & 115.260969377461 & 115.736666666667 & 0.995889830743309 & 1.00111946501262 \tabularnewline
39 & 115.65 & 115.69898964887 & 116.046666666667 & 0.997003989620874 & 0.99957657669251 \tabularnewline
40 & 116.46 & 116.334327473731 & 116.339166666667 & 0.999958404438729 & 1.00108027036385 \tabularnewline
41 & 116.18 & 116.301418034567 & 116.582916666667 & 0.997585421259409 & 0.998956005553336 \tabularnewline
42 & 116.63 & 116.742464489148 & 116.822083333333 & 0.999318460671876 & 0.999036644552259 \tabularnewline
43 & 118.84 & 118.933195134144 & 117.059166666667 & 1.01600924148738 & 0.999216407714942 \tabularnewline
44 & 118.77 & 118.841435447346 & 117.28625 & 1.01325974227453 & 0.999398901173846 \tabularnewline
45 & 117.83 & 117.465268448776 & 117.501666666667 & 0.999690232326713 & 1.00310501611277 \tabularnewline
46 & 117.66 & 117.493562573056 & 117.705 & 0.998203666565191 & 1.00141656634882 \tabularnewline
47 & 117.36 & 117.264159856971 & 117.920833333333 & 0.994431234432457 & 1.00081730123804 \tabularnewline
48 & 118 & 117.787599780156 & 118.1325 & 0.997080395150835 & 1.00180324771233 \tabularnewline
49 & 117.34 & 117.335710088397 & 118.333333333333 & 0.991569381028703 & 1.00003656100602 \tabularnewline
50 & 118.04 & 118.046141270773 & 118.533333333333 & 0.995889830743309 & 0.999947975675381 \tabularnewline
51 & 118.17 & 118.370129504396 & 118.725833333333 & 0.997003989620874 & 0.998309290483721 \tabularnewline
52 & 118.82 & 118.933802675937 & 118.93875 & 0.999958404438729 & 0.999043142711522 \tabularnewline
53 & 119 & 118.878513706154 & 119.16625 & 0.997585421259409 & 1.00102193651366 \tabularnewline
54 & 118.89 & 119.313627611919 & 119.395 & 0.999318460671876 & 0.996449461638225 \tabularnewline
55 & 121.4 & 121.549842268158 & 119.634583333333 & 1.01600924148738 & 0.998767236013127 \tabularnewline
56 & 121.01 & 121.465355988278 & 119.875833333333 & 1.01325974227453 & 0.996251145155154 \tabularnewline
57 & 120.21 & 120.093620684602 & 120.130833333333 & 0.999690232326713 & 1.00096907158544 \tabularnewline
58 & 120.39 & 120.197446754864 & 120.41375 & 0.998203666565191 & 1.0016019745039 \tabularnewline
59 & 120.09 & 120.007547024961 & 120.679583333333 & 0.994431234432457 & 1.00068706491452 \tabularnewline
60 & 120.76 & 120.596458343329 & 120.949583333333 & 0.997080395150835 & 1.00135610662965 \tabularnewline
61 & 120.33 & 120.223655910643 & 121.245833333333 & 0.991569381028703 & 1.00088455211707 \tabularnewline
62 & 120.84 & 121.043354707215 & 121.542916666667 & 0.995889830743309 & 0.998319984540196 \tabularnewline
63 & 121.49 & 121.447548485693 & 121.8125 & 0.997003989620874 & 1.00034954607842 \tabularnewline
64 & 122.29 & 122.046589859088 & 122.051666666667 & 0.999958404438729 & 1.00199440345849 \tabularnewline
65 & 121.91 & 121.997215129366 & 122.2925 & 0.997585421259409 & 0.999285105571682 \tabularnewline
66 & 122.46 & 122.458149701499 & 122.541666666667 & 0.999318460671876 & 1.00001510963954 \tabularnewline
67 & 124.94 & NA & NA & 1.01600924148738 & NA \tabularnewline
68 & 124.6 & NA & NA & 1.01325974227453 & NA \tabularnewline
69 & 123.09 & NA & NA & 0.999690232326713 & NA \tabularnewline
70 & 123.25 & NA & NA & 0.998203666565191 & NA \tabularnewline
71 & 123.01 & NA & NA & 0.994431234432457 & NA \tabularnewline
72 & 123.82 & NA & NA & 0.997080395150835 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205299&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]103.51[/C][C]NA[/C][C]NA[/C][C]0.991569381028703[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]104.35[/C][C]NA[/C][C]NA[/C][C]0.995889830743309[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104.51[/C][C]NA[/C][C]NA[/C][C]0.997003989620874[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]105.25[/C][C]NA[/C][C]NA[/C][C]0.999958404438729[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]105.2[/C][C]NA[/C][C]NA[/C][C]0.997585421259409[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]105.87[/C][C]NA[/C][C]NA[/C][C]0.999318460671876[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]107.63[/C][C]107.62289559047[/C][C]105.927083333333[/C][C]1.01600924148738[/C][C]1.00006601206454[/C][/ROW]
[ROW][C]8[/C][C]107.77[/C][C]107.581164369761[/C][C]106.173333333333[/C][C]1.01325974227453[/C][C]1.00175528524296[/C][/ROW]
[ROW][C]9[/C][C]106.58[/C][C]106.393282588161[/C][C]106.42625[/C][C]0.999690232326713[/C][C]1.00175497369098[/C][/ROW]
[ROW][C]10[/C][C]106.32[/C][C]106.485455721814[/C][C]106.677083333333[/C][C]0.998203666565191[/C][C]0.998446212952819[/C][/ROW]
[ROW][C]11[/C][C]106.3[/C][C]106.33328885882[/C][C]106.92875[/C][C]0.994431234432457[/C][C]0.999686938500851[/C][/ROW]
[ROW][C]12[/C][C]106.38[/C][C]106.864999501443[/C][C]107.177916666667[/C][C]0.997080395150835[/C][C]0.995461568299201[/C][/ROW]
[ROW][C]13[/C][C]106.42[/C][C]106.520167064826[/C][C]107.425833333333[/C][C]0.991569381028703[/C][C]0.999059642248167[/C][/ROW]
[ROW][C]14[/C][C]107.35[/C][C]107.227043122036[/C][C]107.669583333333[/C][C]0.995889830743309[/C][C]1.00114669652715[/C][/ROW]
[ROW][C]15[/C][C]107.58[/C][C]107.555544145313[/C][C]107.87875[/C][C]0.997003989620874[/C][C]1.00022737883836[/C][/ROW]
[ROW][C]16[/C][C]108.2[/C][C]108.070921209051[/C][C]108.075416666667[/C][C]0.999958404438729[/C][C]1.00119438966102[/C][/ROW]
[ROW][C]17[/C][C]108.29[/C][C]108.022290359299[/C][C]108.28375[/C][C]0.997585421259409[/C][C]1.00247828147145[/C][/ROW]
[ROW][C]18[/C][C]108.76[/C][C]108.454367005951[/C][C]108.528333333333[/C][C]0.999318460671876[/C][C]1.00281807918378[/C][/ROW]
[ROW][C]19[/C][C]110.69[/C][C]110.541382136643[/C][C]108.799583333333[/C][C]1.01600924148738[/C][C]1.00134445454259[/C][/ROW]
[ROW][C]20[/C][C]110.56[/C][C]110.505685300901[/C][C]109.059583333333[/C][C]1.01325974227453[/C][C]1.0004915104499[/C][/ROW]
[ROW][C]21[/C][C]108.81[/C][C]109.305296927409[/C][C]109.339166666667[/C][C]0.999690232326713[/C][C]0.995468683208115[/C][/ROW]
[ROW][C]22[/C][C]108.81[/C][C]109.428076947209[/C][C]109.625[/C][C]0.998203666565191[/C][C]0.994351751721752[/C][/ROW]
[ROW][C]23[/C][C]108.81[/C][C]109.295450898385[/C][C]109.9075[/C][C]0.994431234432457[/C][C]0.995558361355436[/C][/ROW]
[ROW][C]24[/C][C]109.74[/C][C]109.904432905995[/C][C]110.22625[/C][C]0.997080395150835[/C][C]0.998503855562083[/C][/ROW]
[ROW][C]25[/C][C]109.57[/C][C]109.647742154154[/C][C]110.58[/C][C]0.991569381028703[/C][C]0.999290982626485[/C][/ROW]
[ROW][C]26[/C][C]110.44[/C][C]110.506010389758[/C][C]110.962083333333[/C][C]0.995889830743309[/C][C]0.999402653398441[/C][/ROW]
[ROW][C]27[/C][C]111.2[/C][C]111.036334324077[/C][C]111.37[/C][C]0.997003989620874[/C][C]1.00147398306077[/C][/ROW]
[ROW][C]28[/C][C]111.44[/C][C]111.817432031015[/C][C]111.822083333333[/C][C]0.999958404438729[/C][C]0.996624568958891[/C][/ROW]
[ROW][C]29[/C][C]111.83[/C][C]112.032168092169[/C][C]112.303333333333[/C][C]0.997585421259409[/C][C]0.99819544604365[/C][/ROW]
[ROW][C]30[/C][C]112.87[/C][C]112.687729834972[/C][C]112.764583333333[/C][C]0.999318460671876[/C][C]1.00161748013998[/C][/ROW]
[ROW][C]31[/C][C]115.07[/C][C]115.007589427348[/C][C]113.195416666667[/C][C]1.01600924148738[/C][C]1.00054266481858[/C][/ROW]
[ROW][C]32[/C][C]115.35[/C][C]115.115172745131[/C][C]113.60875[/C][C]1.01325974227453[/C][C]1.00203993313191[/C][/ROW]
[ROW][C]33[/C][C]113.81[/C][C]113.965103022842[/C][C]114.000416666667[/C][C]0.999690232326713[/C][C]0.998639030556477[/C][/ROW]
[ROW][C]34[/C][C]114.66[/C][C]114.189508436725[/C][C]114.395[/C][C]0.998203666565191[/C][C]1.00412026962648[/C][/ROW]
[ROW][C]35[/C][C]114.51[/C][C]114.146203590677[/C][C]114.785416666667[/C][C]0.994431234432457[/C][C]1.00318710914493[/C][/ROW]
[ROW][C]36[/C][C]115.11[/C][C]114.787218691081[/C][C]115.123333333333[/C][C]0.997080395150835[/C][C]1.00281199695053[/C][/ROW]
[ROW][C]37[/C][C]114.54[/C][C]114.463877268592[/C][C]115.437083333333[/C][C]0.991569381028703[/C][C]1.00066503715604[/C][/ROW]
[ROW][C]38[/C][C]115.39[/C][C]115.260969377461[/C][C]115.736666666667[/C][C]0.995889830743309[/C][C]1.00111946501262[/C][/ROW]
[ROW][C]39[/C][C]115.65[/C][C]115.69898964887[/C][C]116.046666666667[/C][C]0.997003989620874[/C][C]0.99957657669251[/C][/ROW]
[ROW][C]40[/C][C]116.46[/C][C]116.334327473731[/C][C]116.339166666667[/C][C]0.999958404438729[/C][C]1.00108027036385[/C][/ROW]
[ROW][C]41[/C][C]116.18[/C][C]116.301418034567[/C][C]116.582916666667[/C][C]0.997585421259409[/C][C]0.998956005553336[/C][/ROW]
[ROW][C]42[/C][C]116.63[/C][C]116.742464489148[/C][C]116.822083333333[/C][C]0.999318460671876[/C][C]0.999036644552259[/C][/ROW]
[ROW][C]43[/C][C]118.84[/C][C]118.933195134144[/C][C]117.059166666667[/C][C]1.01600924148738[/C][C]0.999216407714942[/C][/ROW]
[ROW][C]44[/C][C]118.77[/C][C]118.841435447346[/C][C]117.28625[/C][C]1.01325974227453[/C][C]0.999398901173846[/C][/ROW]
[ROW][C]45[/C][C]117.83[/C][C]117.465268448776[/C][C]117.501666666667[/C][C]0.999690232326713[/C][C]1.00310501611277[/C][/ROW]
[ROW][C]46[/C][C]117.66[/C][C]117.493562573056[/C][C]117.705[/C][C]0.998203666565191[/C][C]1.00141656634882[/C][/ROW]
[ROW][C]47[/C][C]117.36[/C][C]117.264159856971[/C][C]117.920833333333[/C][C]0.994431234432457[/C][C]1.00081730123804[/C][/ROW]
[ROW][C]48[/C][C]118[/C][C]117.787599780156[/C][C]118.1325[/C][C]0.997080395150835[/C][C]1.00180324771233[/C][/ROW]
[ROW][C]49[/C][C]117.34[/C][C]117.335710088397[/C][C]118.333333333333[/C][C]0.991569381028703[/C][C]1.00003656100602[/C][/ROW]
[ROW][C]50[/C][C]118.04[/C][C]118.046141270773[/C][C]118.533333333333[/C][C]0.995889830743309[/C][C]0.999947975675381[/C][/ROW]
[ROW][C]51[/C][C]118.17[/C][C]118.370129504396[/C][C]118.725833333333[/C][C]0.997003989620874[/C][C]0.998309290483721[/C][/ROW]
[ROW][C]52[/C][C]118.82[/C][C]118.933802675937[/C][C]118.93875[/C][C]0.999958404438729[/C][C]0.999043142711522[/C][/ROW]
[ROW][C]53[/C][C]119[/C][C]118.878513706154[/C][C]119.16625[/C][C]0.997585421259409[/C][C]1.00102193651366[/C][/ROW]
[ROW][C]54[/C][C]118.89[/C][C]119.313627611919[/C][C]119.395[/C][C]0.999318460671876[/C][C]0.996449461638225[/C][/ROW]
[ROW][C]55[/C][C]121.4[/C][C]121.549842268158[/C][C]119.634583333333[/C][C]1.01600924148738[/C][C]0.998767236013127[/C][/ROW]
[ROW][C]56[/C][C]121.01[/C][C]121.465355988278[/C][C]119.875833333333[/C][C]1.01325974227453[/C][C]0.996251145155154[/C][/ROW]
[ROW][C]57[/C][C]120.21[/C][C]120.093620684602[/C][C]120.130833333333[/C][C]0.999690232326713[/C][C]1.00096907158544[/C][/ROW]
[ROW][C]58[/C][C]120.39[/C][C]120.197446754864[/C][C]120.41375[/C][C]0.998203666565191[/C][C]1.0016019745039[/C][/ROW]
[ROW][C]59[/C][C]120.09[/C][C]120.007547024961[/C][C]120.679583333333[/C][C]0.994431234432457[/C][C]1.00068706491452[/C][/ROW]
[ROW][C]60[/C][C]120.76[/C][C]120.596458343329[/C][C]120.949583333333[/C][C]0.997080395150835[/C][C]1.00135610662965[/C][/ROW]
[ROW][C]61[/C][C]120.33[/C][C]120.223655910643[/C][C]121.245833333333[/C][C]0.991569381028703[/C][C]1.00088455211707[/C][/ROW]
[ROW][C]62[/C][C]120.84[/C][C]121.043354707215[/C][C]121.542916666667[/C][C]0.995889830743309[/C][C]0.998319984540196[/C][/ROW]
[ROW][C]63[/C][C]121.49[/C][C]121.447548485693[/C][C]121.8125[/C][C]0.997003989620874[/C][C]1.00034954607842[/C][/ROW]
[ROW][C]64[/C][C]122.29[/C][C]122.046589859088[/C][C]122.051666666667[/C][C]0.999958404438729[/C][C]1.00199440345849[/C][/ROW]
[ROW][C]65[/C][C]121.91[/C][C]121.997215129366[/C][C]122.2925[/C][C]0.997585421259409[/C][C]0.999285105571682[/C][/ROW]
[ROW][C]66[/C][C]122.46[/C][C]122.458149701499[/C][C]122.541666666667[/C][C]0.999318460671876[/C][C]1.00001510963954[/C][/ROW]
[ROW][C]67[/C][C]124.94[/C][C]NA[/C][C]NA[/C][C]1.01600924148738[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]124.6[/C][C]NA[/C][C]NA[/C][C]1.01325974227453[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]123.09[/C][C]NA[/C][C]NA[/C][C]0.999690232326713[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]123.25[/C][C]NA[/C][C]NA[/C][C]0.998203666565191[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]123.01[/C][C]NA[/C][C]NA[/C][C]0.994431234432457[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]123.82[/C][C]NA[/C][C]NA[/C][C]0.997080395150835[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205299&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
1103.51NANA0.991569381028703NA
2104.35NANA0.995889830743309NA
3104.51NANA0.997003989620874NA
4105.25NANA0.999958404438729NA
5105.2NANA0.997585421259409NA
6105.87NANA0.999318460671876NA
7107.63107.62289559047105.9270833333331.016009241487381.00006601206454
8107.77107.581164369761106.1733333333331.013259742274531.00175528524296
9106.58106.393282588161106.426250.9996902323267131.00175497369098
10106.32106.485455721814106.6770833333330.9982036665651910.998446212952819
11106.3106.33328885882106.928750.9944312344324570.999686938500851
12106.38106.864999501443107.1779166666670.9970803951508350.995461568299201
13106.42106.520167064826107.4258333333330.9915693810287030.999059642248167
14107.35107.227043122036107.6695833333330.9958898307433091.00114669652715
15107.58107.555544145313107.878750.9970039896208741.00022737883836
16108.2108.070921209051108.0754166666670.9999584044387291.00119438966102
17108.29108.022290359299108.283750.9975854212594091.00247828147145
18108.76108.454367005951108.5283333333330.9993184606718761.00281807918378
19110.69110.541382136643108.7995833333331.016009241487381.00134445454259
20110.56110.505685300901109.0595833333331.013259742274531.0004915104499
21108.81109.305296927409109.3391666666670.9996902323267130.995468683208115
22108.81109.428076947209109.6250.9982036665651910.994351751721752
23108.81109.295450898385109.90750.9944312344324570.995558361355436
24109.74109.904432905995110.226250.9970803951508350.998503855562083
25109.57109.647742154154110.580.9915693810287030.999290982626485
26110.44110.506010389758110.9620833333330.9958898307433090.999402653398441
27111.2111.036334324077111.370.9970039896208741.00147398306077
28111.44111.817432031015111.8220833333330.9999584044387290.996624568958891
29111.83112.032168092169112.3033333333330.9975854212594090.99819544604365
30112.87112.687729834972112.7645833333330.9993184606718761.00161748013998
31115.07115.007589427348113.1954166666671.016009241487381.00054266481858
32115.35115.115172745131113.608751.013259742274531.00203993313191
33113.81113.965103022842114.0004166666670.9996902323267130.998639030556477
34114.66114.189508436725114.3950.9982036665651911.00412026962648
35114.51114.146203590677114.7854166666670.9944312344324571.00318710914493
36115.11114.787218691081115.1233333333330.9970803951508351.00281199695053
37114.54114.463877268592115.4370833333330.9915693810287031.00066503715604
38115.39115.260969377461115.7366666666670.9958898307433091.00111946501262
39115.65115.69898964887116.0466666666670.9970039896208740.99957657669251
40116.46116.334327473731116.3391666666670.9999584044387291.00108027036385
41116.18116.301418034567116.5829166666670.9975854212594090.998956005553336
42116.63116.742464489148116.8220833333330.9993184606718760.999036644552259
43118.84118.933195134144117.0591666666671.016009241487380.999216407714942
44118.77118.841435447346117.286251.013259742274530.999398901173846
45117.83117.465268448776117.5016666666670.9996902323267131.00310501611277
46117.66117.493562573056117.7050.9982036665651911.00141656634882
47117.36117.264159856971117.9208333333330.9944312344324571.00081730123804
48118117.787599780156118.13250.9970803951508351.00180324771233
49117.34117.335710088397118.3333333333330.9915693810287031.00003656100602
50118.04118.046141270773118.5333333333330.9958898307433090.999947975675381
51118.17118.370129504396118.7258333333330.9970039896208740.998309290483721
52118.82118.933802675937118.938750.9999584044387290.999043142711522
53119118.878513706154119.166250.9975854212594091.00102193651366
54118.89119.313627611919119.3950.9993184606718760.996449461638225
55121.4121.549842268158119.6345833333331.016009241487380.998767236013127
56121.01121.465355988278119.8758333333331.013259742274530.996251145155154
57120.21120.093620684602120.1308333333330.9996902323267131.00096907158544
58120.39120.197446754864120.413750.9982036665651911.0016019745039
59120.09120.007547024961120.6795833333330.9944312344324571.00068706491452
60120.76120.596458343329120.9495833333330.9970803951508351.00135610662965
61120.33120.223655910643121.2458333333330.9915693810287031.00088455211707
62120.84121.043354707215121.5429166666670.9958898307433090.998319984540196
63121.49121.447548485693121.81250.9970039896208741.00034954607842
64122.29122.046589859088122.0516666666670.9999584044387291.00199440345849
65121.91121.997215129366122.29250.9975854212594090.999285105571682
66122.46122.458149701499122.5416666666670.9993184606718761.00001510963954
67124.94NANA1.01600924148738NA
68124.6NANA1.01325974227453NA
69123.09NANA0.999690232326713NA
70123.25NANA0.998203666565191NA
71123.01NANA0.994431234432457NA
72123.82NANA0.997080395150835NA



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')