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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 13 May 2015 22:01:36 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/May/13/t1431550915u0vexzw40g21odo.htm/, Retrieved Fri, 03 May 2024 03:29:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279078, Retrieved Fri, 03 May 2024 03:29:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2015-05-13 21:01:36] [b807b9265c4c1efe31f917466850b643] [Current]
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Dataseries X:
100.05
100.05
100.05
100.05
100.05
108.77
111.32
111.6
108.52
103.13
102.87
102.75
102.75
102.75
102.75
102.75
102.75
115.22
115.53
115.4
111.99
107.93
107.43
106.98
106.98
106.98
106.98
106.98
106.98
113.71
118.77
118.54
116.16
110.52
110.06
109.9
109.9
110.72
110.09
110.07
112.45
113.06
119.83
119.84
113.73
110.5
110.12
109.86
110.36
110.36
110.59
112.52
112.1
115.9
122.96
121.26
114.55
111.57
110.65
109.77
112.38
112.35
112.2
114.46
116.26
119.57
127.77
126.59
120.45
116.38
116.3
115.05
115.05
115.22
115.19
116.07
120.42
121.88
130.74
130.74
124.64
120.5
120.1
119.62




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279078&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279078&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279078&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1100.05NANA0.973853NA
2100.05NANA0.972948NA
3100.05NANA0.970001NA
4100.05NANA0.97529NA
5100.05NANA0.984743NA
6108.77NANA1.02534NA
7111.32111.874104.2131.073510.995046
8111.6111.46104.4381.067241.00125
9108.52107.174104.6631.023991.01256
10103.13103.205104.8880.983950.999275
11102.87102.785105.1130.9778511.00083
12102.75102.466105.4950.9712911.00277
13102.75103.169105.9390.9738530.995941
14102.75103.398106.2730.9729480.993737
15102.75103.378106.5750.9700010.993922
16102.75104.278106.920.975290.985347
17102.75105.673107.310.9847430.972341
18115.22110.404107.6761.025341.04362
19115.53115.97108.0291.073510.996205
20115.4115.668108.3811.067240.99768
21111.99111.342108.7341.023991.00582
22107.93107.335109.0860.983951.00554
23107.43107.015109.4390.9778511.00388
24106.98106.407109.5520.9712911.00539
25106.98106.758109.6240.9738531.00208
26106.98106.917109.890.9729481.00059
27106.98106.889110.1950.9700011.00085
28106.98107.746110.4760.975290.992887
29106.98109.005110.6940.9847430.981424
30113.71113.735110.9251.025340.999776
31118.77119.34111.1681.073510.99522
32118.54118.939111.4461.067240.996645
33116.16114.412111.7311.023991.01528
34110.52110.192111.990.983951.00298
35110.06109.858112.3460.9778511.00184
36109.9109.316112.5470.9712911.00534
37109.9109.621112.5640.9738531.00255
38110.72109.615112.6620.9729481.01008
39110.09109.237112.6150.9700011.00781
40110.07109.733112.5130.975291.00307
41112.45110.798112.5150.9847431.01491
42113.06115.367112.5161.025340.980007
43119.83120.806112.5331.073510.991922
44119.84120.104112.5381.067240.997801
45113.73115.243112.5431.023990.98687
46110.5110.858112.6660.983950.996772
47110.12110.256112.7540.9778510.998763
48109.86109.618112.8570.9712911.00221
49110.36110.149113.1060.9738531.00192
50110.36110.231113.2960.9729481.00117
51110.59109.988113.3890.9700011.00548
52112.52110.664113.4680.975291.01677
53112.1111.802113.5350.9847431.00266
54115.9116.43113.5531.025340.995449
55122.96121.987113.6331.073511.00798
56121.26121.452113.81.067240.99842
57114.55116.684113.951.023990.981711
58111.57112.267114.0980.983950.993792
59110.65111.82114.3520.9778510.98954
60109.77111.386114.6790.9712910.985488
61112.38112.024115.0320.9738531.00318
62112.35112.331115.4550.9729481.00017
63112.2112.445115.9220.9700010.997821
64114.46113.493116.3690.975291.00852
65116.26115.023116.8050.9847431.01076
66119.57120.231117.261.025340.994503
67127.77126.236117.5911.073511.01216
68126.59125.744117.8221.067241.00673
69120.45120.899118.0661.023990.996289
70116.38116.36118.2580.983951.00017
71116.3115.874118.4980.9778511.00368
72115.05115.358118.7680.9712910.997328
73115.05115.877118.9880.9738530.992866
74115.22116.058119.2850.9729480.992782
75115.19116.043119.6320.9700010.992647
76116.07117.014119.9780.975290.991935
77120.42118.473120.3080.9847431.01644
78121.88123.714120.6571.025340.985175
79130.74NANA1.07351NA
80130.74NANA1.06724NA
81124.64NANA1.02399NA
82120.5NANA0.98395NA
83120.1NANA0.977851NA
84119.62NANA0.971291NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 100.05 & NA & NA & 0.973853 & NA \tabularnewline
2 & 100.05 & NA & NA & 0.972948 & NA \tabularnewline
3 & 100.05 & NA & NA & 0.970001 & NA \tabularnewline
4 & 100.05 & NA & NA & 0.97529 & NA \tabularnewline
5 & 100.05 & NA & NA & 0.984743 & NA \tabularnewline
6 & 108.77 & NA & NA & 1.02534 & NA \tabularnewline
7 & 111.32 & 111.874 & 104.213 & 1.07351 & 0.995046 \tabularnewline
8 & 111.6 & 111.46 & 104.438 & 1.06724 & 1.00125 \tabularnewline
9 & 108.52 & 107.174 & 104.663 & 1.02399 & 1.01256 \tabularnewline
10 & 103.13 & 103.205 & 104.888 & 0.98395 & 0.999275 \tabularnewline
11 & 102.87 & 102.785 & 105.113 & 0.977851 & 1.00083 \tabularnewline
12 & 102.75 & 102.466 & 105.495 & 0.971291 & 1.00277 \tabularnewline
13 & 102.75 & 103.169 & 105.939 & 0.973853 & 0.995941 \tabularnewline
14 & 102.75 & 103.398 & 106.273 & 0.972948 & 0.993737 \tabularnewline
15 & 102.75 & 103.378 & 106.575 & 0.970001 & 0.993922 \tabularnewline
16 & 102.75 & 104.278 & 106.92 & 0.97529 & 0.985347 \tabularnewline
17 & 102.75 & 105.673 & 107.31 & 0.984743 & 0.972341 \tabularnewline
18 & 115.22 & 110.404 & 107.676 & 1.02534 & 1.04362 \tabularnewline
19 & 115.53 & 115.97 & 108.029 & 1.07351 & 0.996205 \tabularnewline
20 & 115.4 & 115.668 & 108.381 & 1.06724 & 0.99768 \tabularnewline
21 & 111.99 & 111.342 & 108.734 & 1.02399 & 1.00582 \tabularnewline
22 & 107.93 & 107.335 & 109.086 & 0.98395 & 1.00554 \tabularnewline
23 & 107.43 & 107.015 & 109.439 & 0.977851 & 1.00388 \tabularnewline
24 & 106.98 & 106.407 & 109.552 & 0.971291 & 1.00539 \tabularnewline
25 & 106.98 & 106.758 & 109.624 & 0.973853 & 1.00208 \tabularnewline
26 & 106.98 & 106.917 & 109.89 & 0.972948 & 1.00059 \tabularnewline
27 & 106.98 & 106.889 & 110.195 & 0.970001 & 1.00085 \tabularnewline
28 & 106.98 & 107.746 & 110.476 & 0.97529 & 0.992887 \tabularnewline
29 & 106.98 & 109.005 & 110.694 & 0.984743 & 0.981424 \tabularnewline
30 & 113.71 & 113.735 & 110.925 & 1.02534 & 0.999776 \tabularnewline
31 & 118.77 & 119.34 & 111.168 & 1.07351 & 0.99522 \tabularnewline
32 & 118.54 & 118.939 & 111.446 & 1.06724 & 0.996645 \tabularnewline
33 & 116.16 & 114.412 & 111.731 & 1.02399 & 1.01528 \tabularnewline
34 & 110.52 & 110.192 & 111.99 & 0.98395 & 1.00298 \tabularnewline
35 & 110.06 & 109.858 & 112.346 & 0.977851 & 1.00184 \tabularnewline
36 & 109.9 & 109.316 & 112.547 & 0.971291 & 1.00534 \tabularnewline
37 & 109.9 & 109.621 & 112.564 & 0.973853 & 1.00255 \tabularnewline
38 & 110.72 & 109.615 & 112.662 & 0.972948 & 1.01008 \tabularnewline
39 & 110.09 & 109.237 & 112.615 & 0.970001 & 1.00781 \tabularnewline
40 & 110.07 & 109.733 & 112.513 & 0.97529 & 1.00307 \tabularnewline
41 & 112.45 & 110.798 & 112.515 & 0.984743 & 1.01491 \tabularnewline
42 & 113.06 & 115.367 & 112.516 & 1.02534 & 0.980007 \tabularnewline
43 & 119.83 & 120.806 & 112.533 & 1.07351 & 0.991922 \tabularnewline
44 & 119.84 & 120.104 & 112.538 & 1.06724 & 0.997801 \tabularnewline
45 & 113.73 & 115.243 & 112.543 & 1.02399 & 0.98687 \tabularnewline
46 & 110.5 & 110.858 & 112.666 & 0.98395 & 0.996772 \tabularnewline
47 & 110.12 & 110.256 & 112.754 & 0.977851 & 0.998763 \tabularnewline
48 & 109.86 & 109.618 & 112.857 & 0.971291 & 1.00221 \tabularnewline
49 & 110.36 & 110.149 & 113.106 & 0.973853 & 1.00192 \tabularnewline
50 & 110.36 & 110.231 & 113.296 & 0.972948 & 1.00117 \tabularnewline
51 & 110.59 & 109.988 & 113.389 & 0.970001 & 1.00548 \tabularnewline
52 & 112.52 & 110.664 & 113.468 & 0.97529 & 1.01677 \tabularnewline
53 & 112.1 & 111.802 & 113.535 & 0.984743 & 1.00266 \tabularnewline
54 & 115.9 & 116.43 & 113.553 & 1.02534 & 0.995449 \tabularnewline
55 & 122.96 & 121.987 & 113.633 & 1.07351 & 1.00798 \tabularnewline
56 & 121.26 & 121.452 & 113.8 & 1.06724 & 0.99842 \tabularnewline
57 & 114.55 & 116.684 & 113.95 & 1.02399 & 0.981711 \tabularnewline
58 & 111.57 & 112.267 & 114.098 & 0.98395 & 0.993792 \tabularnewline
59 & 110.65 & 111.82 & 114.352 & 0.977851 & 0.98954 \tabularnewline
60 & 109.77 & 111.386 & 114.679 & 0.971291 & 0.985488 \tabularnewline
61 & 112.38 & 112.024 & 115.032 & 0.973853 & 1.00318 \tabularnewline
62 & 112.35 & 112.331 & 115.455 & 0.972948 & 1.00017 \tabularnewline
63 & 112.2 & 112.445 & 115.922 & 0.970001 & 0.997821 \tabularnewline
64 & 114.46 & 113.493 & 116.369 & 0.97529 & 1.00852 \tabularnewline
65 & 116.26 & 115.023 & 116.805 & 0.984743 & 1.01076 \tabularnewline
66 & 119.57 & 120.231 & 117.26 & 1.02534 & 0.994503 \tabularnewline
67 & 127.77 & 126.236 & 117.591 & 1.07351 & 1.01216 \tabularnewline
68 & 126.59 & 125.744 & 117.822 & 1.06724 & 1.00673 \tabularnewline
69 & 120.45 & 120.899 & 118.066 & 1.02399 & 0.996289 \tabularnewline
70 & 116.38 & 116.36 & 118.258 & 0.98395 & 1.00017 \tabularnewline
71 & 116.3 & 115.874 & 118.498 & 0.977851 & 1.00368 \tabularnewline
72 & 115.05 & 115.358 & 118.768 & 0.971291 & 0.997328 \tabularnewline
73 & 115.05 & 115.877 & 118.988 & 0.973853 & 0.992866 \tabularnewline
74 & 115.22 & 116.058 & 119.285 & 0.972948 & 0.992782 \tabularnewline
75 & 115.19 & 116.043 & 119.632 & 0.970001 & 0.992647 \tabularnewline
76 & 116.07 & 117.014 & 119.978 & 0.97529 & 0.991935 \tabularnewline
77 & 120.42 & 118.473 & 120.308 & 0.984743 & 1.01644 \tabularnewline
78 & 121.88 & 123.714 & 120.657 & 1.02534 & 0.985175 \tabularnewline
79 & 130.74 & NA & NA & 1.07351 & NA \tabularnewline
80 & 130.74 & NA & NA & 1.06724 & NA \tabularnewline
81 & 124.64 & NA & NA & 1.02399 & NA \tabularnewline
82 & 120.5 & NA & NA & 0.98395 & NA \tabularnewline
83 & 120.1 & NA & NA & 0.977851 & NA \tabularnewline
84 & 119.62 & NA & NA & 0.971291 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279078&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]100.05[/C][C]NA[/C][C]NA[/C][C]0.973853[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]100.05[/C][C]NA[/C][C]NA[/C][C]0.972948[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]100.05[/C][C]NA[/C][C]NA[/C][C]0.970001[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]100.05[/C][C]NA[/C][C]NA[/C][C]0.97529[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]100.05[/C][C]NA[/C][C]NA[/C][C]0.984743[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]108.77[/C][C]NA[/C][C]NA[/C][C]1.02534[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]111.32[/C][C]111.874[/C][C]104.213[/C][C]1.07351[/C][C]0.995046[/C][/ROW]
[ROW][C]8[/C][C]111.6[/C][C]111.46[/C][C]104.438[/C][C]1.06724[/C][C]1.00125[/C][/ROW]
[ROW][C]9[/C][C]108.52[/C][C]107.174[/C][C]104.663[/C][C]1.02399[/C][C]1.01256[/C][/ROW]
[ROW][C]10[/C][C]103.13[/C][C]103.205[/C][C]104.888[/C][C]0.98395[/C][C]0.999275[/C][/ROW]
[ROW][C]11[/C][C]102.87[/C][C]102.785[/C][C]105.113[/C][C]0.977851[/C][C]1.00083[/C][/ROW]
[ROW][C]12[/C][C]102.75[/C][C]102.466[/C][C]105.495[/C][C]0.971291[/C][C]1.00277[/C][/ROW]
[ROW][C]13[/C][C]102.75[/C][C]103.169[/C][C]105.939[/C][C]0.973853[/C][C]0.995941[/C][/ROW]
[ROW][C]14[/C][C]102.75[/C][C]103.398[/C][C]106.273[/C][C]0.972948[/C][C]0.993737[/C][/ROW]
[ROW][C]15[/C][C]102.75[/C][C]103.378[/C][C]106.575[/C][C]0.970001[/C][C]0.993922[/C][/ROW]
[ROW][C]16[/C][C]102.75[/C][C]104.278[/C][C]106.92[/C][C]0.97529[/C][C]0.985347[/C][/ROW]
[ROW][C]17[/C][C]102.75[/C][C]105.673[/C][C]107.31[/C][C]0.984743[/C][C]0.972341[/C][/ROW]
[ROW][C]18[/C][C]115.22[/C][C]110.404[/C][C]107.676[/C][C]1.02534[/C][C]1.04362[/C][/ROW]
[ROW][C]19[/C][C]115.53[/C][C]115.97[/C][C]108.029[/C][C]1.07351[/C][C]0.996205[/C][/ROW]
[ROW][C]20[/C][C]115.4[/C][C]115.668[/C][C]108.381[/C][C]1.06724[/C][C]0.99768[/C][/ROW]
[ROW][C]21[/C][C]111.99[/C][C]111.342[/C][C]108.734[/C][C]1.02399[/C][C]1.00582[/C][/ROW]
[ROW][C]22[/C][C]107.93[/C][C]107.335[/C][C]109.086[/C][C]0.98395[/C][C]1.00554[/C][/ROW]
[ROW][C]23[/C][C]107.43[/C][C]107.015[/C][C]109.439[/C][C]0.977851[/C][C]1.00388[/C][/ROW]
[ROW][C]24[/C][C]106.98[/C][C]106.407[/C][C]109.552[/C][C]0.971291[/C][C]1.00539[/C][/ROW]
[ROW][C]25[/C][C]106.98[/C][C]106.758[/C][C]109.624[/C][C]0.973853[/C][C]1.00208[/C][/ROW]
[ROW][C]26[/C][C]106.98[/C][C]106.917[/C][C]109.89[/C][C]0.972948[/C][C]1.00059[/C][/ROW]
[ROW][C]27[/C][C]106.98[/C][C]106.889[/C][C]110.195[/C][C]0.970001[/C][C]1.00085[/C][/ROW]
[ROW][C]28[/C][C]106.98[/C][C]107.746[/C][C]110.476[/C][C]0.97529[/C][C]0.992887[/C][/ROW]
[ROW][C]29[/C][C]106.98[/C][C]109.005[/C][C]110.694[/C][C]0.984743[/C][C]0.981424[/C][/ROW]
[ROW][C]30[/C][C]113.71[/C][C]113.735[/C][C]110.925[/C][C]1.02534[/C][C]0.999776[/C][/ROW]
[ROW][C]31[/C][C]118.77[/C][C]119.34[/C][C]111.168[/C][C]1.07351[/C][C]0.99522[/C][/ROW]
[ROW][C]32[/C][C]118.54[/C][C]118.939[/C][C]111.446[/C][C]1.06724[/C][C]0.996645[/C][/ROW]
[ROW][C]33[/C][C]116.16[/C][C]114.412[/C][C]111.731[/C][C]1.02399[/C][C]1.01528[/C][/ROW]
[ROW][C]34[/C][C]110.52[/C][C]110.192[/C][C]111.99[/C][C]0.98395[/C][C]1.00298[/C][/ROW]
[ROW][C]35[/C][C]110.06[/C][C]109.858[/C][C]112.346[/C][C]0.977851[/C][C]1.00184[/C][/ROW]
[ROW][C]36[/C][C]109.9[/C][C]109.316[/C][C]112.547[/C][C]0.971291[/C][C]1.00534[/C][/ROW]
[ROW][C]37[/C][C]109.9[/C][C]109.621[/C][C]112.564[/C][C]0.973853[/C][C]1.00255[/C][/ROW]
[ROW][C]38[/C][C]110.72[/C][C]109.615[/C][C]112.662[/C][C]0.972948[/C][C]1.01008[/C][/ROW]
[ROW][C]39[/C][C]110.09[/C][C]109.237[/C][C]112.615[/C][C]0.970001[/C][C]1.00781[/C][/ROW]
[ROW][C]40[/C][C]110.07[/C][C]109.733[/C][C]112.513[/C][C]0.97529[/C][C]1.00307[/C][/ROW]
[ROW][C]41[/C][C]112.45[/C][C]110.798[/C][C]112.515[/C][C]0.984743[/C][C]1.01491[/C][/ROW]
[ROW][C]42[/C][C]113.06[/C][C]115.367[/C][C]112.516[/C][C]1.02534[/C][C]0.980007[/C][/ROW]
[ROW][C]43[/C][C]119.83[/C][C]120.806[/C][C]112.533[/C][C]1.07351[/C][C]0.991922[/C][/ROW]
[ROW][C]44[/C][C]119.84[/C][C]120.104[/C][C]112.538[/C][C]1.06724[/C][C]0.997801[/C][/ROW]
[ROW][C]45[/C][C]113.73[/C][C]115.243[/C][C]112.543[/C][C]1.02399[/C][C]0.98687[/C][/ROW]
[ROW][C]46[/C][C]110.5[/C][C]110.858[/C][C]112.666[/C][C]0.98395[/C][C]0.996772[/C][/ROW]
[ROW][C]47[/C][C]110.12[/C][C]110.256[/C][C]112.754[/C][C]0.977851[/C][C]0.998763[/C][/ROW]
[ROW][C]48[/C][C]109.86[/C][C]109.618[/C][C]112.857[/C][C]0.971291[/C][C]1.00221[/C][/ROW]
[ROW][C]49[/C][C]110.36[/C][C]110.149[/C][C]113.106[/C][C]0.973853[/C][C]1.00192[/C][/ROW]
[ROW][C]50[/C][C]110.36[/C][C]110.231[/C][C]113.296[/C][C]0.972948[/C][C]1.00117[/C][/ROW]
[ROW][C]51[/C][C]110.59[/C][C]109.988[/C][C]113.389[/C][C]0.970001[/C][C]1.00548[/C][/ROW]
[ROW][C]52[/C][C]112.52[/C][C]110.664[/C][C]113.468[/C][C]0.97529[/C][C]1.01677[/C][/ROW]
[ROW][C]53[/C][C]112.1[/C][C]111.802[/C][C]113.535[/C][C]0.984743[/C][C]1.00266[/C][/ROW]
[ROW][C]54[/C][C]115.9[/C][C]116.43[/C][C]113.553[/C][C]1.02534[/C][C]0.995449[/C][/ROW]
[ROW][C]55[/C][C]122.96[/C][C]121.987[/C][C]113.633[/C][C]1.07351[/C][C]1.00798[/C][/ROW]
[ROW][C]56[/C][C]121.26[/C][C]121.452[/C][C]113.8[/C][C]1.06724[/C][C]0.99842[/C][/ROW]
[ROW][C]57[/C][C]114.55[/C][C]116.684[/C][C]113.95[/C][C]1.02399[/C][C]0.981711[/C][/ROW]
[ROW][C]58[/C][C]111.57[/C][C]112.267[/C][C]114.098[/C][C]0.98395[/C][C]0.993792[/C][/ROW]
[ROW][C]59[/C][C]110.65[/C][C]111.82[/C][C]114.352[/C][C]0.977851[/C][C]0.98954[/C][/ROW]
[ROW][C]60[/C][C]109.77[/C][C]111.386[/C][C]114.679[/C][C]0.971291[/C][C]0.985488[/C][/ROW]
[ROW][C]61[/C][C]112.38[/C][C]112.024[/C][C]115.032[/C][C]0.973853[/C][C]1.00318[/C][/ROW]
[ROW][C]62[/C][C]112.35[/C][C]112.331[/C][C]115.455[/C][C]0.972948[/C][C]1.00017[/C][/ROW]
[ROW][C]63[/C][C]112.2[/C][C]112.445[/C][C]115.922[/C][C]0.970001[/C][C]0.997821[/C][/ROW]
[ROW][C]64[/C][C]114.46[/C][C]113.493[/C][C]116.369[/C][C]0.97529[/C][C]1.00852[/C][/ROW]
[ROW][C]65[/C][C]116.26[/C][C]115.023[/C][C]116.805[/C][C]0.984743[/C][C]1.01076[/C][/ROW]
[ROW][C]66[/C][C]119.57[/C][C]120.231[/C][C]117.26[/C][C]1.02534[/C][C]0.994503[/C][/ROW]
[ROW][C]67[/C][C]127.77[/C][C]126.236[/C][C]117.591[/C][C]1.07351[/C][C]1.01216[/C][/ROW]
[ROW][C]68[/C][C]126.59[/C][C]125.744[/C][C]117.822[/C][C]1.06724[/C][C]1.00673[/C][/ROW]
[ROW][C]69[/C][C]120.45[/C][C]120.899[/C][C]118.066[/C][C]1.02399[/C][C]0.996289[/C][/ROW]
[ROW][C]70[/C][C]116.38[/C][C]116.36[/C][C]118.258[/C][C]0.98395[/C][C]1.00017[/C][/ROW]
[ROW][C]71[/C][C]116.3[/C][C]115.874[/C][C]118.498[/C][C]0.977851[/C][C]1.00368[/C][/ROW]
[ROW][C]72[/C][C]115.05[/C][C]115.358[/C][C]118.768[/C][C]0.971291[/C][C]0.997328[/C][/ROW]
[ROW][C]73[/C][C]115.05[/C][C]115.877[/C][C]118.988[/C][C]0.973853[/C][C]0.992866[/C][/ROW]
[ROW][C]74[/C][C]115.22[/C][C]116.058[/C][C]119.285[/C][C]0.972948[/C][C]0.992782[/C][/ROW]
[ROW][C]75[/C][C]115.19[/C][C]116.043[/C][C]119.632[/C][C]0.970001[/C][C]0.992647[/C][/ROW]
[ROW][C]76[/C][C]116.07[/C][C]117.014[/C][C]119.978[/C][C]0.97529[/C][C]0.991935[/C][/ROW]
[ROW][C]77[/C][C]120.42[/C][C]118.473[/C][C]120.308[/C][C]0.984743[/C][C]1.01644[/C][/ROW]
[ROW][C]78[/C][C]121.88[/C][C]123.714[/C][C]120.657[/C][C]1.02534[/C][C]0.985175[/C][/ROW]
[ROW][C]79[/C][C]130.74[/C][C]NA[/C][C]NA[/C][C]1.07351[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]130.74[/C][C]NA[/C][C]NA[/C][C]1.06724[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]124.64[/C][C]NA[/C][C]NA[/C][C]1.02399[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]120.5[/C][C]NA[/C][C]NA[/C][C]0.98395[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]120.1[/C][C]NA[/C][C]NA[/C][C]0.977851[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]119.62[/C][C]NA[/C][C]NA[/C][C]0.971291[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279078&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279078&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
1100.05NANA0.973853NA
2100.05NANA0.972948NA
3100.05NANA0.970001NA
4100.05NANA0.97529NA
5100.05NANA0.984743NA
6108.77NANA1.02534NA
7111.32111.874104.2131.073510.995046
8111.6111.46104.4381.067241.00125
9108.52107.174104.6631.023991.01256
10103.13103.205104.8880.983950.999275
11102.87102.785105.1130.9778511.00083
12102.75102.466105.4950.9712911.00277
13102.75103.169105.9390.9738530.995941
14102.75103.398106.2730.9729480.993737
15102.75103.378106.5750.9700010.993922
16102.75104.278106.920.975290.985347
17102.75105.673107.310.9847430.972341
18115.22110.404107.6761.025341.04362
19115.53115.97108.0291.073510.996205
20115.4115.668108.3811.067240.99768
21111.99111.342108.7341.023991.00582
22107.93107.335109.0860.983951.00554
23107.43107.015109.4390.9778511.00388
24106.98106.407109.5520.9712911.00539
25106.98106.758109.6240.9738531.00208
26106.98106.917109.890.9729481.00059
27106.98106.889110.1950.9700011.00085
28106.98107.746110.4760.975290.992887
29106.98109.005110.6940.9847430.981424
30113.71113.735110.9251.025340.999776
31118.77119.34111.1681.073510.99522
32118.54118.939111.4461.067240.996645
33116.16114.412111.7311.023991.01528
34110.52110.192111.990.983951.00298
35110.06109.858112.3460.9778511.00184
36109.9109.316112.5470.9712911.00534
37109.9109.621112.5640.9738531.00255
38110.72109.615112.6620.9729481.01008
39110.09109.237112.6150.9700011.00781
40110.07109.733112.5130.975291.00307
41112.45110.798112.5150.9847431.01491
42113.06115.367112.5161.025340.980007
43119.83120.806112.5331.073510.991922
44119.84120.104112.5381.067240.997801
45113.73115.243112.5431.023990.98687
46110.5110.858112.6660.983950.996772
47110.12110.256112.7540.9778510.998763
48109.86109.618112.8570.9712911.00221
49110.36110.149113.1060.9738531.00192
50110.36110.231113.2960.9729481.00117
51110.59109.988113.3890.9700011.00548
52112.52110.664113.4680.975291.01677
53112.1111.802113.5350.9847431.00266
54115.9116.43113.5531.025340.995449
55122.96121.987113.6331.073511.00798
56121.26121.452113.81.067240.99842
57114.55116.684113.951.023990.981711
58111.57112.267114.0980.983950.993792
59110.65111.82114.3520.9778510.98954
60109.77111.386114.6790.9712910.985488
61112.38112.024115.0320.9738531.00318
62112.35112.331115.4550.9729481.00017
63112.2112.445115.9220.9700010.997821
64114.46113.493116.3690.975291.00852
65116.26115.023116.8050.9847431.01076
66119.57120.231117.261.025340.994503
67127.77126.236117.5911.073511.01216
68126.59125.744117.8221.067241.00673
69120.45120.899118.0661.023990.996289
70116.38116.36118.2580.983951.00017
71116.3115.874118.4980.9778511.00368
72115.05115.358118.7680.9712910.997328
73115.05115.877118.9880.9738530.992866
74115.22116.058119.2850.9729480.992782
75115.19116.043119.6320.9700010.992647
76116.07117.014119.9780.975290.991935
77120.42118.473120.3080.9847431.01644
78121.88123.714120.6571.025340.985175
79130.74NANA1.07351NA
80130.74NANA1.06724NA
81124.64NANA1.02399NA
82120.5NANA0.98395NA
83120.1NANA0.977851NA
84119.62NANA0.971291NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')