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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 03 Dec 2009 10:45:37 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/03/t12598623685nwny0iqri97lj9.htm/, Retrieved Thu, 18 Apr 2024 01:19:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62978, Retrieved Thu, 18 Apr 2024 01:19:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
- R PD      [Classical Decomposition] [] [2009-12-03 17:45:37] [0f1f1142419956a95ff6f880845f2408] [Current]
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Dataseries X:
115.47
103.34
102.60
100.69
105.67
123.61
113.08
106.46
123.38
109.87
95.74
123.06
123.39
120.28
115.33
110.4
114.49
132.03
123.16
118.82
128.32
112.24
104.53
132.57
122.52
131.8
124.55
120.96
122.6
145.52
118.57
134.25
136.7
121.37
111.63
134.42
137.65
137.86
119.77
130.69
128.28
147.45
128.42
136.9
143.95
135.64
122.48
136.83
153.04
142.71
123.46
144.37
146.15
147.61
158.51
147.4
165.05
154.64
126.2
157.36
154.15
123.21
113.07
110.45
113.57
122.44
114.93
111.85
126.04
121.34




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62978&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62978&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62978&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' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1115.47NANA5.81928819444444NA
2103.34NANA3.93210069444445NA
3102.6NANA-9.31342013888889NA
4100.69NANA-4.38633680555555NA
5105.67NANA-3.89498263888889NA
6123.61NANA10.7029340277778NA
7113.08109.615225694444110.5775-0.9622743055555663.46477430555557
8106.46112.477621527778111.6133333333330.864288194444442-6.01762152777776
9123.38122.869392361111112.84958333333310.01980902777780.510607638888914
10109.87111.294913194444113.784583333333-2.48967013888889-1.42491319444444
1195.7497.3135590277778114.556666666667-17.2431076388889-1.57355902777779
12123.06122.226371527778115.2756.951371527777770.833628472222216
13123.39121.865121527778116.0458333333335.819288194444441.52487847222224
14120.28120.912934027778116.9808333333333.93210069444445-0.632934027777793
15115.33108.388246527778117.701666666667-9.313420138888896.94175347222223
16110.4113.619913194444118.00625-4.38633680555555-3.21991319444444
17114.49114.576267361111118.47125-3.89498263888889-0.0862673611110978
18132.03129.936684027778119.2337510.70293402777782.09331597222223
19123.16118.631475694444119.59375-0.9622743055555664.52852430555558
20118.82120.901788194444120.03750.864288194444442-2.08178819444446
21128.32130.921475694444120.90166666666710.0198090277778-2.60147569444445
22112.24119.236163194444121.725833333333-2.48967013888889-6.99616319444445
23104.53105.260642361111122.50375-17.2431076388889-0.730642361111109
24132.57130.355121527778123.403756.951371527777772.21487847222222
25122.52129.593871527778123.7745833333335.81928819444444-7.07387152777775
26131.8128.158350694444124.226253.932100694444453.64164930555557
27124.55115.904913194444125.218333333333-9.313420138888898.6450868055556
28120.96121.561579861111125.947916666667-4.38633680555555-0.601579861111105
29122.6122.729184027778126.624166666667-3.89498263888889-0.129184027777768
30145.52137.700017361111126.99708333333310.70293402777787.81998263888892
31118.57126.742309027778127.704583333333-0.962274305555566-8.17230902777776
32134.25129.451788194444128.58750.8642881944444424.79821180555558
33136.7138.660642361111128.64083333333310.0198090277778-1.9606423611111
34121.37126.357413194444128.847083333333-2.48967013888889-4.98741319444441
35111.63112.246059027778129.489166666667-17.2431076388889-0.616059027777766
36134.42136.757621527778129.806256.95137152777777-2.33762152777777
37137.65136.116371527778130.2970833333335.819288194444441.53362847222223
38137.86134.750017361111130.8179166666673.932100694444453.10998263888894
39119.77121.916996527778131.230416666667-9.31342013888889-2.14699652777776
40130.69127.740746527778132.127083333333-4.386336805555552.94925347222224
41128.28129.278767361111133.17375-3.89498263888889-0.998767361111106
42147.45144.429184027778133.7262510.70293402777783.02081597222221
43128.42133.505642361111134.467916666667-0.962274305555566-5.08564236111113
44136.9136.175538194444135.311250.8642881944444420.724461805555563
45143.95145.686892361111135.66708333333310.0198090277778-1.73689236111110
46135.64133.901163194444136.390833333333-2.489670138888891.73883680555556
47122.48120.462309027778137.705416666667-17.24310763888892.01769097222225
48136.83145.408038194444138.4566666666676.95137152777777-8.57803819444445
49153.04145.536371527778139.7170833333335.819288194444447.5036284722222
50142.71145.340434027778141.4083333333333.93210069444445-2.63043402777777
51123.46133.411579861111142.725-9.31342013888889-9.9515798611111
52144.37140.009496527778144.395833333333-4.386336805555554.36050347222223
53146.15141.447517361111145.3425-3.894982638888894.70248263888888
54147.61157.055850694444146.35291666666710.7029340277778-9.4458506944444
55158.51146.292309027778147.254583333333-0.96227430555556612.2176909722222
56147.4147.352621527778146.4883333333330.8642881944444420.047378472222249
57165.05155.262725694444145.24291666666710.01980902777789.78727430555557
58154.64140.906996527778143.396666666667-2.4896701388888913.7330034722222
59126.2123.382725694444140.625833333333-17.24310763888892.81727430555557
60157.36145.170954861111138.2195833333336.9513715277777712.1890451388889
61154.15NA135.355NANA
62123.21NA132.057916666667NANA
63113.07NA128.95125NANA
64110.45NA125.938333333333NANA
65113.57NANANANA
66122.44NANANANA
67114.93NANANANA
68111.85NANANANA
69126.04NANANANA
70121.34NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 115.47 & NA & NA & 5.81928819444444 & NA \tabularnewline
2 & 103.34 & NA & NA & 3.93210069444445 & NA \tabularnewline
3 & 102.6 & NA & NA & -9.31342013888889 & NA \tabularnewline
4 & 100.69 & NA & NA & -4.38633680555555 & NA \tabularnewline
5 & 105.67 & NA & NA & -3.89498263888889 & NA \tabularnewline
6 & 123.61 & NA & NA & 10.7029340277778 & NA \tabularnewline
7 & 113.08 & 109.615225694444 & 110.5775 & -0.962274305555566 & 3.46477430555557 \tabularnewline
8 & 106.46 & 112.477621527778 & 111.613333333333 & 0.864288194444442 & -6.01762152777776 \tabularnewline
9 & 123.38 & 122.869392361111 & 112.849583333333 & 10.0198090277778 & 0.510607638888914 \tabularnewline
10 & 109.87 & 111.294913194444 & 113.784583333333 & -2.48967013888889 & -1.42491319444444 \tabularnewline
11 & 95.74 & 97.3135590277778 & 114.556666666667 & -17.2431076388889 & -1.57355902777779 \tabularnewline
12 & 123.06 & 122.226371527778 & 115.275 & 6.95137152777777 & 0.833628472222216 \tabularnewline
13 & 123.39 & 121.865121527778 & 116.045833333333 & 5.81928819444444 & 1.52487847222224 \tabularnewline
14 & 120.28 & 120.912934027778 & 116.980833333333 & 3.93210069444445 & -0.632934027777793 \tabularnewline
15 & 115.33 & 108.388246527778 & 117.701666666667 & -9.31342013888889 & 6.94175347222223 \tabularnewline
16 & 110.4 & 113.619913194444 & 118.00625 & -4.38633680555555 & -3.21991319444444 \tabularnewline
17 & 114.49 & 114.576267361111 & 118.47125 & -3.89498263888889 & -0.0862673611110978 \tabularnewline
18 & 132.03 & 129.936684027778 & 119.23375 & 10.7029340277778 & 2.09331597222223 \tabularnewline
19 & 123.16 & 118.631475694444 & 119.59375 & -0.962274305555566 & 4.52852430555558 \tabularnewline
20 & 118.82 & 120.901788194444 & 120.0375 & 0.864288194444442 & -2.08178819444446 \tabularnewline
21 & 128.32 & 130.921475694444 & 120.901666666667 & 10.0198090277778 & -2.60147569444445 \tabularnewline
22 & 112.24 & 119.236163194444 & 121.725833333333 & -2.48967013888889 & -6.99616319444445 \tabularnewline
23 & 104.53 & 105.260642361111 & 122.50375 & -17.2431076388889 & -0.730642361111109 \tabularnewline
24 & 132.57 & 130.355121527778 & 123.40375 & 6.95137152777777 & 2.21487847222222 \tabularnewline
25 & 122.52 & 129.593871527778 & 123.774583333333 & 5.81928819444444 & -7.07387152777775 \tabularnewline
26 & 131.8 & 128.158350694444 & 124.22625 & 3.93210069444445 & 3.64164930555557 \tabularnewline
27 & 124.55 & 115.904913194444 & 125.218333333333 & -9.31342013888889 & 8.6450868055556 \tabularnewline
28 & 120.96 & 121.561579861111 & 125.947916666667 & -4.38633680555555 & -0.601579861111105 \tabularnewline
29 & 122.6 & 122.729184027778 & 126.624166666667 & -3.89498263888889 & -0.129184027777768 \tabularnewline
30 & 145.52 & 137.700017361111 & 126.997083333333 & 10.7029340277778 & 7.81998263888892 \tabularnewline
31 & 118.57 & 126.742309027778 & 127.704583333333 & -0.962274305555566 & -8.17230902777776 \tabularnewline
32 & 134.25 & 129.451788194444 & 128.5875 & 0.864288194444442 & 4.79821180555558 \tabularnewline
33 & 136.7 & 138.660642361111 & 128.640833333333 & 10.0198090277778 & -1.9606423611111 \tabularnewline
34 & 121.37 & 126.357413194444 & 128.847083333333 & -2.48967013888889 & -4.98741319444441 \tabularnewline
35 & 111.63 & 112.246059027778 & 129.489166666667 & -17.2431076388889 & -0.616059027777766 \tabularnewline
36 & 134.42 & 136.757621527778 & 129.80625 & 6.95137152777777 & -2.33762152777777 \tabularnewline
37 & 137.65 & 136.116371527778 & 130.297083333333 & 5.81928819444444 & 1.53362847222223 \tabularnewline
38 & 137.86 & 134.750017361111 & 130.817916666667 & 3.93210069444445 & 3.10998263888894 \tabularnewline
39 & 119.77 & 121.916996527778 & 131.230416666667 & -9.31342013888889 & -2.14699652777776 \tabularnewline
40 & 130.69 & 127.740746527778 & 132.127083333333 & -4.38633680555555 & 2.94925347222224 \tabularnewline
41 & 128.28 & 129.278767361111 & 133.17375 & -3.89498263888889 & -0.998767361111106 \tabularnewline
42 & 147.45 & 144.429184027778 & 133.72625 & 10.7029340277778 & 3.02081597222221 \tabularnewline
43 & 128.42 & 133.505642361111 & 134.467916666667 & -0.962274305555566 & -5.08564236111113 \tabularnewline
44 & 136.9 & 136.175538194444 & 135.31125 & 0.864288194444442 & 0.724461805555563 \tabularnewline
45 & 143.95 & 145.686892361111 & 135.667083333333 & 10.0198090277778 & -1.73689236111110 \tabularnewline
46 & 135.64 & 133.901163194444 & 136.390833333333 & -2.48967013888889 & 1.73883680555556 \tabularnewline
47 & 122.48 & 120.462309027778 & 137.705416666667 & -17.2431076388889 & 2.01769097222225 \tabularnewline
48 & 136.83 & 145.408038194444 & 138.456666666667 & 6.95137152777777 & -8.57803819444445 \tabularnewline
49 & 153.04 & 145.536371527778 & 139.717083333333 & 5.81928819444444 & 7.5036284722222 \tabularnewline
50 & 142.71 & 145.340434027778 & 141.408333333333 & 3.93210069444445 & -2.63043402777777 \tabularnewline
51 & 123.46 & 133.411579861111 & 142.725 & -9.31342013888889 & -9.9515798611111 \tabularnewline
52 & 144.37 & 140.009496527778 & 144.395833333333 & -4.38633680555555 & 4.36050347222223 \tabularnewline
53 & 146.15 & 141.447517361111 & 145.3425 & -3.89498263888889 & 4.70248263888888 \tabularnewline
54 & 147.61 & 157.055850694444 & 146.352916666667 & 10.7029340277778 & -9.4458506944444 \tabularnewline
55 & 158.51 & 146.292309027778 & 147.254583333333 & -0.962274305555566 & 12.2176909722222 \tabularnewline
56 & 147.4 & 147.352621527778 & 146.488333333333 & 0.864288194444442 & 0.047378472222249 \tabularnewline
57 & 165.05 & 155.262725694444 & 145.242916666667 & 10.0198090277778 & 9.78727430555557 \tabularnewline
58 & 154.64 & 140.906996527778 & 143.396666666667 & -2.48967013888889 & 13.7330034722222 \tabularnewline
59 & 126.2 & 123.382725694444 & 140.625833333333 & -17.2431076388889 & 2.81727430555557 \tabularnewline
60 & 157.36 & 145.170954861111 & 138.219583333333 & 6.95137152777777 & 12.1890451388889 \tabularnewline
61 & 154.15 & NA & 135.355 & NA & NA \tabularnewline
62 & 123.21 & NA & 132.057916666667 & NA & NA \tabularnewline
63 & 113.07 & NA & 128.95125 & NA & NA \tabularnewline
64 & 110.45 & NA & 125.938333333333 & NA & NA \tabularnewline
65 & 113.57 & NA & NA & NA & NA \tabularnewline
66 & 122.44 & NA & NA & NA & NA \tabularnewline
67 & 114.93 & NA & NA & NA & NA \tabularnewline
68 & 111.85 & NA & NA & NA & NA \tabularnewline
69 & 126.04 & NA & NA & NA & NA \tabularnewline
70 & 121.34 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62978&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]115.47[/C][C]NA[/C][C]NA[/C][C]5.81928819444444[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]103.34[/C][C]NA[/C][C]NA[/C][C]3.93210069444445[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]102.6[/C][C]NA[/C][C]NA[/C][C]-9.31342013888889[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]100.69[/C][C]NA[/C][C]NA[/C][C]-4.38633680555555[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]105.67[/C][C]NA[/C][C]NA[/C][C]-3.89498263888889[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]123.61[/C][C]NA[/C][C]NA[/C][C]10.7029340277778[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]113.08[/C][C]109.615225694444[/C][C]110.5775[/C][C]-0.962274305555566[/C][C]3.46477430555557[/C][/ROW]
[ROW][C]8[/C][C]106.46[/C][C]112.477621527778[/C][C]111.613333333333[/C][C]0.864288194444442[/C][C]-6.01762152777776[/C][/ROW]
[ROW][C]9[/C][C]123.38[/C][C]122.869392361111[/C][C]112.849583333333[/C][C]10.0198090277778[/C][C]0.510607638888914[/C][/ROW]
[ROW][C]10[/C][C]109.87[/C][C]111.294913194444[/C][C]113.784583333333[/C][C]-2.48967013888889[/C][C]-1.42491319444444[/C][/ROW]
[ROW][C]11[/C][C]95.74[/C][C]97.3135590277778[/C][C]114.556666666667[/C][C]-17.2431076388889[/C][C]-1.57355902777779[/C][/ROW]
[ROW][C]12[/C][C]123.06[/C][C]122.226371527778[/C][C]115.275[/C][C]6.95137152777777[/C][C]0.833628472222216[/C][/ROW]
[ROW][C]13[/C][C]123.39[/C][C]121.865121527778[/C][C]116.045833333333[/C][C]5.81928819444444[/C][C]1.52487847222224[/C][/ROW]
[ROW][C]14[/C][C]120.28[/C][C]120.912934027778[/C][C]116.980833333333[/C][C]3.93210069444445[/C][C]-0.632934027777793[/C][/ROW]
[ROW][C]15[/C][C]115.33[/C][C]108.388246527778[/C][C]117.701666666667[/C][C]-9.31342013888889[/C][C]6.94175347222223[/C][/ROW]
[ROW][C]16[/C][C]110.4[/C][C]113.619913194444[/C][C]118.00625[/C][C]-4.38633680555555[/C][C]-3.21991319444444[/C][/ROW]
[ROW][C]17[/C][C]114.49[/C][C]114.576267361111[/C][C]118.47125[/C][C]-3.89498263888889[/C][C]-0.0862673611110978[/C][/ROW]
[ROW][C]18[/C][C]132.03[/C][C]129.936684027778[/C][C]119.23375[/C][C]10.7029340277778[/C][C]2.09331597222223[/C][/ROW]
[ROW][C]19[/C][C]123.16[/C][C]118.631475694444[/C][C]119.59375[/C][C]-0.962274305555566[/C][C]4.52852430555558[/C][/ROW]
[ROW][C]20[/C][C]118.82[/C][C]120.901788194444[/C][C]120.0375[/C][C]0.864288194444442[/C][C]-2.08178819444446[/C][/ROW]
[ROW][C]21[/C][C]128.32[/C][C]130.921475694444[/C][C]120.901666666667[/C][C]10.0198090277778[/C][C]-2.60147569444445[/C][/ROW]
[ROW][C]22[/C][C]112.24[/C][C]119.236163194444[/C][C]121.725833333333[/C][C]-2.48967013888889[/C][C]-6.99616319444445[/C][/ROW]
[ROW][C]23[/C][C]104.53[/C][C]105.260642361111[/C][C]122.50375[/C][C]-17.2431076388889[/C][C]-0.730642361111109[/C][/ROW]
[ROW][C]24[/C][C]132.57[/C][C]130.355121527778[/C][C]123.40375[/C][C]6.95137152777777[/C][C]2.21487847222222[/C][/ROW]
[ROW][C]25[/C][C]122.52[/C][C]129.593871527778[/C][C]123.774583333333[/C][C]5.81928819444444[/C][C]-7.07387152777775[/C][/ROW]
[ROW][C]26[/C][C]131.8[/C][C]128.158350694444[/C][C]124.22625[/C][C]3.93210069444445[/C][C]3.64164930555557[/C][/ROW]
[ROW][C]27[/C][C]124.55[/C][C]115.904913194444[/C][C]125.218333333333[/C][C]-9.31342013888889[/C][C]8.6450868055556[/C][/ROW]
[ROW][C]28[/C][C]120.96[/C][C]121.561579861111[/C][C]125.947916666667[/C][C]-4.38633680555555[/C][C]-0.601579861111105[/C][/ROW]
[ROW][C]29[/C][C]122.6[/C][C]122.729184027778[/C][C]126.624166666667[/C][C]-3.89498263888889[/C][C]-0.129184027777768[/C][/ROW]
[ROW][C]30[/C][C]145.52[/C][C]137.700017361111[/C][C]126.997083333333[/C][C]10.7029340277778[/C][C]7.81998263888892[/C][/ROW]
[ROW][C]31[/C][C]118.57[/C][C]126.742309027778[/C][C]127.704583333333[/C][C]-0.962274305555566[/C][C]-8.17230902777776[/C][/ROW]
[ROW][C]32[/C][C]134.25[/C][C]129.451788194444[/C][C]128.5875[/C][C]0.864288194444442[/C][C]4.79821180555558[/C][/ROW]
[ROW][C]33[/C][C]136.7[/C][C]138.660642361111[/C][C]128.640833333333[/C][C]10.0198090277778[/C][C]-1.9606423611111[/C][/ROW]
[ROW][C]34[/C][C]121.37[/C][C]126.357413194444[/C][C]128.847083333333[/C][C]-2.48967013888889[/C][C]-4.98741319444441[/C][/ROW]
[ROW][C]35[/C][C]111.63[/C][C]112.246059027778[/C][C]129.489166666667[/C][C]-17.2431076388889[/C][C]-0.616059027777766[/C][/ROW]
[ROW][C]36[/C][C]134.42[/C][C]136.757621527778[/C][C]129.80625[/C][C]6.95137152777777[/C][C]-2.33762152777777[/C][/ROW]
[ROW][C]37[/C][C]137.65[/C][C]136.116371527778[/C][C]130.297083333333[/C][C]5.81928819444444[/C][C]1.53362847222223[/C][/ROW]
[ROW][C]38[/C][C]137.86[/C][C]134.750017361111[/C][C]130.817916666667[/C][C]3.93210069444445[/C][C]3.10998263888894[/C][/ROW]
[ROW][C]39[/C][C]119.77[/C][C]121.916996527778[/C][C]131.230416666667[/C][C]-9.31342013888889[/C][C]-2.14699652777776[/C][/ROW]
[ROW][C]40[/C][C]130.69[/C][C]127.740746527778[/C][C]132.127083333333[/C][C]-4.38633680555555[/C][C]2.94925347222224[/C][/ROW]
[ROW][C]41[/C][C]128.28[/C][C]129.278767361111[/C][C]133.17375[/C][C]-3.89498263888889[/C][C]-0.998767361111106[/C][/ROW]
[ROW][C]42[/C][C]147.45[/C][C]144.429184027778[/C][C]133.72625[/C][C]10.7029340277778[/C][C]3.02081597222221[/C][/ROW]
[ROW][C]43[/C][C]128.42[/C][C]133.505642361111[/C][C]134.467916666667[/C][C]-0.962274305555566[/C][C]-5.08564236111113[/C][/ROW]
[ROW][C]44[/C][C]136.9[/C][C]136.175538194444[/C][C]135.31125[/C][C]0.864288194444442[/C][C]0.724461805555563[/C][/ROW]
[ROW][C]45[/C][C]143.95[/C][C]145.686892361111[/C][C]135.667083333333[/C][C]10.0198090277778[/C][C]-1.73689236111110[/C][/ROW]
[ROW][C]46[/C][C]135.64[/C][C]133.901163194444[/C][C]136.390833333333[/C][C]-2.48967013888889[/C][C]1.73883680555556[/C][/ROW]
[ROW][C]47[/C][C]122.48[/C][C]120.462309027778[/C][C]137.705416666667[/C][C]-17.2431076388889[/C][C]2.01769097222225[/C][/ROW]
[ROW][C]48[/C][C]136.83[/C][C]145.408038194444[/C][C]138.456666666667[/C][C]6.95137152777777[/C][C]-8.57803819444445[/C][/ROW]
[ROW][C]49[/C][C]153.04[/C][C]145.536371527778[/C][C]139.717083333333[/C][C]5.81928819444444[/C][C]7.5036284722222[/C][/ROW]
[ROW][C]50[/C][C]142.71[/C][C]145.340434027778[/C][C]141.408333333333[/C][C]3.93210069444445[/C][C]-2.63043402777777[/C][/ROW]
[ROW][C]51[/C][C]123.46[/C][C]133.411579861111[/C][C]142.725[/C][C]-9.31342013888889[/C][C]-9.9515798611111[/C][/ROW]
[ROW][C]52[/C][C]144.37[/C][C]140.009496527778[/C][C]144.395833333333[/C][C]-4.38633680555555[/C][C]4.36050347222223[/C][/ROW]
[ROW][C]53[/C][C]146.15[/C][C]141.447517361111[/C][C]145.3425[/C][C]-3.89498263888889[/C][C]4.70248263888888[/C][/ROW]
[ROW][C]54[/C][C]147.61[/C][C]157.055850694444[/C][C]146.352916666667[/C][C]10.7029340277778[/C][C]-9.4458506944444[/C][/ROW]
[ROW][C]55[/C][C]158.51[/C][C]146.292309027778[/C][C]147.254583333333[/C][C]-0.962274305555566[/C][C]12.2176909722222[/C][/ROW]
[ROW][C]56[/C][C]147.4[/C][C]147.352621527778[/C][C]146.488333333333[/C][C]0.864288194444442[/C][C]0.047378472222249[/C][/ROW]
[ROW][C]57[/C][C]165.05[/C][C]155.262725694444[/C][C]145.242916666667[/C][C]10.0198090277778[/C][C]9.78727430555557[/C][/ROW]
[ROW][C]58[/C][C]154.64[/C][C]140.906996527778[/C][C]143.396666666667[/C][C]-2.48967013888889[/C][C]13.7330034722222[/C][/ROW]
[ROW][C]59[/C][C]126.2[/C][C]123.382725694444[/C][C]140.625833333333[/C][C]-17.2431076388889[/C][C]2.81727430555557[/C][/ROW]
[ROW][C]60[/C][C]157.36[/C][C]145.170954861111[/C][C]138.219583333333[/C][C]6.95137152777777[/C][C]12.1890451388889[/C][/ROW]
[ROW][C]61[/C][C]154.15[/C][C]NA[/C][C]135.355[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]62[/C][C]123.21[/C][C]NA[/C][C]132.057916666667[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]63[/C][C]113.07[/C][C]NA[/C][C]128.95125[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]64[/C][C]110.45[/C][C]NA[/C][C]125.938333333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]65[/C][C]113.57[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]122.44[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]114.93[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]111.85[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]126.04[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]121.34[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62978&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62978&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
1115.47NANA5.81928819444444NA
2103.34NANA3.93210069444445NA
3102.6NANA-9.31342013888889NA
4100.69NANA-4.38633680555555NA
5105.67NANA-3.89498263888889NA
6123.61NANA10.7029340277778NA
7113.08109.615225694444110.5775-0.9622743055555663.46477430555557
8106.46112.477621527778111.6133333333330.864288194444442-6.01762152777776
9123.38122.869392361111112.84958333333310.01980902777780.510607638888914
10109.87111.294913194444113.784583333333-2.48967013888889-1.42491319444444
1195.7497.3135590277778114.556666666667-17.2431076388889-1.57355902777779
12123.06122.226371527778115.2756.951371527777770.833628472222216
13123.39121.865121527778116.0458333333335.819288194444441.52487847222224
14120.28120.912934027778116.9808333333333.93210069444445-0.632934027777793
15115.33108.388246527778117.701666666667-9.313420138888896.94175347222223
16110.4113.619913194444118.00625-4.38633680555555-3.21991319444444
17114.49114.576267361111118.47125-3.89498263888889-0.0862673611110978
18132.03129.936684027778119.2337510.70293402777782.09331597222223
19123.16118.631475694444119.59375-0.9622743055555664.52852430555558
20118.82120.901788194444120.03750.864288194444442-2.08178819444446
21128.32130.921475694444120.90166666666710.0198090277778-2.60147569444445
22112.24119.236163194444121.725833333333-2.48967013888889-6.99616319444445
23104.53105.260642361111122.50375-17.2431076388889-0.730642361111109
24132.57130.355121527778123.403756.951371527777772.21487847222222
25122.52129.593871527778123.7745833333335.81928819444444-7.07387152777775
26131.8128.158350694444124.226253.932100694444453.64164930555557
27124.55115.904913194444125.218333333333-9.313420138888898.6450868055556
28120.96121.561579861111125.947916666667-4.38633680555555-0.601579861111105
29122.6122.729184027778126.624166666667-3.89498263888889-0.129184027777768
30145.52137.700017361111126.99708333333310.70293402777787.81998263888892
31118.57126.742309027778127.704583333333-0.962274305555566-8.17230902777776
32134.25129.451788194444128.58750.8642881944444424.79821180555558
33136.7138.660642361111128.64083333333310.0198090277778-1.9606423611111
34121.37126.357413194444128.847083333333-2.48967013888889-4.98741319444441
35111.63112.246059027778129.489166666667-17.2431076388889-0.616059027777766
36134.42136.757621527778129.806256.95137152777777-2.33762152777777
37137.65136.116371527778130.2970833333335.819288194444441.53362847222223
38137.86134.750017361111130.8179166666673.932100694444453.10998263888894
39119.77121.916996527778131.230416666667-9.31342013888889-2.14699652777776
40130.69127.740746527778132.127083333333-4.386336805555552.94925347222224
41128.28129.278767361111133.17375-3.89498263888889-0.998767361111106
42147.45144.429184027778133.7262510.70293402777783.02081597222221
43128.42133.505642361111134.467916666667-0.962274305555566-5.08564236111113
44136.9136.175538194444135.311250.8642881944444420.724461805555563
45143.95145.686892361111135.66708333333310.0198090277778-1.73689236111110
46135.64133.901163194444136.390833333333-2.489670138888891.73883680555556
47122.48120.462309027778137.705416666667-17.24310763888892.01769097222225
48136.83145.408038194444138.4566666666676.95137152777777-8.57803819444445
49153.04145.536371527778139.7170833333335.819288194444447.5036284722222
50142.71145.340434027778141.4083333333333.93210069444445-2.63043402777777
51123.46133.411579861111142.725-9.31342013888889-9.9515798611111
52144.37140.009496527778144.395833333333-4.386336805555554.36050347222223
53146.15141.447517361111145.3425-3.894982638888894.70248263888888
54147.61157.055850694444146.35291666666710.7029340277778-9.4458506944444
55158.51146.292309027778147.254583333333-0.96227430555556612.2176909722222
56147.4147.352621527778146.4883333333330.8642881944444420.047378472222249
57165.05155.262725694444145.24291666666710.01980902777789.78727430555557
58154.64140.906996527778143.396666666667-2.4896701388888913.7330034722222
59126.2123.382725694444140.625833333333-17.24310763888892.81727430555557
60157.36145.170954861111138.2195833333336.9513715277777712.1890451388889
61154.15NA135.355NANA
62123.21NA132.057916666667NANA
63113.07NA128.95125NANA
64110.45NA125.938333333333NANA
65113.57NANANANA
66122.44NANANANA
67114.93NANANANA
68111.85NANANANA
69126.04NANANANA
70121.34NANANANA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; 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')