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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 30 Mar 2015 14:01:50 +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/Mar/30/t1427720550cupsn0uolw3w3g5.htm/, Retrieved Sun, 19 May 2024 12:59:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278456, Retrieved Sun, 19 May 2024 12:59:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-03-30 13:01:50] [3d92bf785db8aeb0f2ab1bed7b74f49c] [Current]
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Dataseries X:
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137
135
124
118
121
121
118
113
107
100
102
130
136
133
120
112
109
110
106
102
98
92
92
120
127
124
114
108
106
111
110
104
100
96
98
122
134
133
125
118
116
118
116
111
108
102
102
129
136
137
126
119
117
120
116
110
104
98
98
124
130
131
121
114
111





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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=278456&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]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=278456&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278456&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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1105NANA0.710648NA
2101NANA-1.74769NA
395NANA-6.41435NA
493NANA-10.5949NA
584NANA-16.9074NA
687NANA-15.6644NA
7116115.037103.41711.62040.962963
8120122.329103.91718.412-2.3287
9117121.162104.79216.3704-4.16204
10109111.94105.9176.02315-2.93981
11105106.641107.125-0.483796-1.6412
12107107.093108.417-1.32407-0.0925926
13109110.419109.7080.710648-1.41898
14109109.294111.042-1.74769-0.293981
15108106.086112.5-6.414351.91435
16107103.28113.875-10.59493.71991
179998.1343115.042-16.90740.865741
18103100.502116.167-15.66442.49769
19131128.87117.2511.62042.12963
20137136.537118.12518.4120.462963
21135135.079118.70816.3704-0.0787037
22124124.94118.9176.02315-0.939815
23118118.475118.958-0.483796-0.474537
24121117.634118.958-1.324073.36574
25121119.586118.8750.7106481.41435
26118117.044118.792-1.747690.956019
27113112.252118.667-6.414350.747685
28107107.822118.417-10.5949-0.821759
29100101.093118-16.9074-1.09259
30102101.586117.25-15.66440.414352
31130127.912116.29211.62042.08796
32136133.745115.33318.4122.25463
33133130.745114.37516.37042.25463
34120119.565113.5426.023150.435185
35112112.35112.833-0.483796-0.349537
36109110.759112.083-1.32407-1.75926
37110111.961111.250.710648-1.96065
38106108.711110.458-1.74769-2.71065
39102103.294109.708-6.41435-1.29398
409898.4884109.083-10.5949-0.488426
419291.7593108.667-16.90740.240741
429292.7106108.375-15.6644-0.710648
43120119.912108.29211.62040.087963
44127126.912108.518.4120.087963
45124125.12108.7516.3704-1.12037
46114114.94108.9176.02315-0.939815
47108108.683109.167-0.483796-0.68287
48106108.259109.583-1.32407-2.25926
49111110.627109.9170.7106480.372685
50110108.544110.292-1.747691.45602
51104104.544110.958-6.41435-0.543981
52100101.197111.792-10.5949-1.19676
539695.7593112.667-16.90740.240741
549897.8356113.5-15.66440.164352
55122125.829114.20811.6204-3.8287
56134133.162114.7518.4120.837963
57133131.662115.29216.37041.33796
58125121.94115.9176.023153.06019
59118116.016116.5-0.4837961.9838
60116115.593116.917-1.324070.407407
61118118.086117.3750.710648-0.0856481
62116116.002117.75-1.74769-0.00231481
63111111.586118-6.41435-0.585648
64108107.613118.208-10.59490.386574
65102101.384118.292-16.90740.615741
66102102.711118.375-15.6644-0.710648
67129130.12118.511.6204-1.12037
68136136.995118.58318.412-0.99537
69137134.912118.54216.37042.08796
70126124.356118.3336.023151.64352
71119117.516118-0.4837961.4838
72117116.343117.667-1.324070.657407
73120118.002117.2920.7106481.99769
74116115.086116.833-1.747690.914352
75110109.919116.333-6.414350.0810185
76104105.28115.875-10.5949-1.28009
779898.5509115.458-16.9074-0.550926
789899.3356115-15.6644-1.33565
79124NANA11.6204NA
80130NANA18.412NA
81131NANA16.3704NA
82121NANA6.02315NA
83114NANA-0.483796NA
84111NANA-1.32407NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 105 & NA & NA & 0.710648 & NA \tabularnewline
2 & 101 & NA & NA & -1.74769 & NA \tabularnewline
3 & 95 & NA & NA & -6.41435 & NA \tabularnewline
4 & 93 & NA & NA & -10.5949 & NA \tabularnewline
5 & 84 & NA & NA & -16.9074 & NA \tabularnewline
6 & 87 & NA & NA & -15.6644 & NA \tabularnewline
7 & 116 & 115.037 & 103.417 & 11.6204 & 0.962963 \tabularnewline
8 & 120 & 122.329 & 103.917 & 18.412 & -2.3287 \tabularnewline
9 & 117 & 121.162 & 104.792 & 16.3704 & -4.16204 \tabularnewline
10 & 109 & 111.94 & 105.917 & 6.02315 & -2.93981 \tabularnewline
11 & 105 & 106.641 & 107.125 & -0.483796 & -1.6412 \tabularnewline
12 & 107 & 107.093 & 108.417 & -1.32407 & -0.0925926 \tabularnewline
13 & 109 & 110.419 & 109.708 & 0.710648 & -1.41898 \tabularnewline
14 & 109 & 109.294 & 111.042 & -1.74769 & -0.293981 \tabularnewline
15 & 108 & 106.086 & 112.5 & -6.41435 & 1.91435 \tabularnewline
16 & 107 & 103.28 & 113.875 & -10.5949 & 3.71991 \tabularnewline
17 & 99 & 98.1343 & 115.042 & -16.9074 & 0.865741 \tabularnewline
18 & 103 & 100.502 & 116.167 & -15.6644 & 2.49769 \tabularnewline
19 & 131 & 128.87 & 117.25 & 11.6204 & 2.12963 \tabularnewline
20 & 137 & 136.537 & 118.125 & 18.412 & 0.462963 \tabularnewline
21 & 135 & 135.079 & 118.708 & 16.3704 & -0.0787037 \tabularnewline
22 & 124 & 124.94 & 118.917 & 6.02315 & -0.939815 \tabularnewline
23 & 118 & 118.475 & 118.958 & -0.483796 & -0.474537 \tabularnewline
24 & 121 & 117.634 & 118.958 & -1.32407 & 3.36574 \tabularnewline
25 & 121 & 119.586 & 118.875 & 0.710648 & 1.41435 \tabularnewline
26 & 118 & 117.044 & 118.792 & -1.74769 & 0.956019 \tabularnewline
27 & 113 & 112.252 & 118.667 & -6.41435 & 0.747685 \tabularnewline
28 & 107 & 107.822 & 118.417 & -10.5949 & -0.821759 \tabularnewline
29 & 100 & 101.093 & 118 & -16.9074 & -1.09259 \tabularnewline
30 & 102 & 101.586 & 117.25 & -15.6644 & 0.414352 \tabularnewline
31 & 130 & 127.912 & 116.292 & 11.6204 & 2.08796 \tabularnewline
32 & 136 & 133.745 & 115.333 & 18.412 & 2.25463 \tabularnewline
33 & 133 & 130.745 & 114.375 & 16.3704 & 2.25463 \tabularnewline
34 & 120 & 119.565 & 113.542 & 6.02315 & 0.435185 \tabularnewline
35 & 112 & 112.35 & 112.833 & -0.483796 & -0.349537 \tabularnewline
36 & 109 & 110.759 & 112.083 & -1.32407 & -1.75926 \tabularnewline
37 & 110 & 111.961 & 111.25 & 0.710648 & -1.96065 \tabularnewline
38 & 106 & 108.711 & 110.458 & -1.74769 & -2.71065 \tabularnewline
39 & 102 & 103.294 & 109.708 & -6.41435 & -1.29398 \tabularnewline
40 & 98 & 98.4884 & 109.083 & -10.5949 & -0.488426 \tabularnewline
41 & 92 & 91.7593 & 108.667 & -16.9074 & 0.240741 \tabularnewline
42 & 92 & 92.7106 & 108.375 & -15.6644 & -0.710648 \tabularnewline
43 & 120 & 119.912 & 108.292 & 11.6204 & 0.087963 \tabularnewline
44 & 127 & 126.912 & 108.5 & 18.412 & 0.087963 \tabularnewline
45 & 124 & 125.12 & 108.75 & 16.3704 & -1.12037 \tabularnewline
46 & 114 & 114.94 & 108.917 & 6.02315 & -0.939815 \tabularnewline
47 & 108 & 108.683 & 109.167 & -0.483796 & -0.68287 \tabularnewline
48 & 106 & 108.259 & 109.583 & -1.32407 & -2.25926 \tabularnewline
49 & 111 & 110.627 & 109.917 & 0.710648 & 0.372685 \tabularnewline
50 & 110 & 108.544 & 110.292 & -1.74769 & 1.45602 \tabularnewline
51 & 104 & 104.544 & 110.958 & -6.41435 & -0.543981 \tabularnewline
52 & 100 & 101.197 & 111.792 & -10.5949 & -1.19676 \tabularnewline
53 & 96 & 95.7593 & 112.667 & -16.9074 & 0.240741 \tabularnewline
54 & 98 & 97.8356 & 113.5 & -15.6644 & 0.164352 \tabularnewline
55 & 122 & 125.829 & 114.208 & 11.6204 & -3.8287 \tabularnewline
56 & 134 & 133.162 & 114.75 & 18.412 & 0.837963 \tabularnewline
57 & 133 & 131.662 & 115.292 & 16.3704 & 1.33796 \tabularnewline
58 & 125 & 121.94 & 115.917 & 6.02315 & 3.06019 \tabularnewline
59 & 118 & 116.016 & 116.5 & -0.483796 & 1.9838 \tabularnewline
60 & 116 & 115.593 & 116.917 & -1.32407 & 0.407407 \tabularnewline
61 & 118 & 118.086 & 117.375 & 0.710648 & -0.0856481 \tabularnewline
62 & 116 & 116.002 & 117.75 & -1.74769 & -0.00231481 \tabularnewline
63 & 111 & 111.586 & 118 & -6.41435 & -0.585648 \tabularnewline
64 & 108 & 107.613 & 118.208 & -10.5949 & 0.386574 \tabularnewline
65 & 102 & 101.384 & 118.292 & -16.9074 & 0.615741 \tabularnewline
66 & 102 & 102.711 & 118.375 & -15.6644 & -0.710648 \tabularnewline
67 & 129 & 130.12 & 118.5 & 11.6204 & -1.12037 \tabularnewline
68 & 136 & 136.995 & 118.583 & 18.412 & -0.99537 \tabularnewline
69 & 137 & 134.912 & 118.542 & 16.3704 & 2.08796 \tabularnewline
70 & 126 & 124.356 & 118.333 & 6.02315 & 1.64352 \tabularnewline
71 & 119 & 117.516 & 118 & -0.483796 & 1.4838 \tabularnewline
72 & 117 & 116.343 & 117.667 & -1.32407 & 0.657407 \tabularnewline
73 & 120 & 118.002 & 117.292 & 0.710648 & 1.99769 \tabularnewline
74 & 116 & 115.086 & 116.833 & -1.74769 & 0.914352 \tabularnewline
75 & 110 & 109.919 & 116.333 & -6.41435 & 0.0810185 \tabularnewline
76 & 104 & 105.28 & 115.875 & -10.5949 & -1.28009 \tabularnewline
77 & 98 & 98.5509 & 115.458 & -16.9074 & -0.550926 \tabularnewline
78 & 98 & 99.3356 & 115 & -15.6644 & -1.33565 \tabularnewline
79 & 124 & NA & NA & 11.6204 & NA \tabularnewline
80 & 130 & NA & NA & 18.412 & NA \tabularnewline
81 & 131 & NA & NA & 16.3704 & NA \tabularnewline
82 & 121 & NA & NA & 6.02315 & NA \tabularnewline
83 & 114 & NA & NA & -0.483796 & NA \tabularnewline
84 & 111 & NA & NA & -1.32407 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278456&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]105[/C][C]NA[/C][C]NA[/C][C]0.710648[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101[/C][C]NA[/C][C]NA[/C][C]-1.74769[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]95[/C][C]NA[/C][C]NA[/C][C]-6.41435[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]93[/C][C]NA[/C][C]NA[/C][C]-10.5949[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]84[/C][C]NA[/C][C]NA[/C][C]-16.9074[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]87[/C][C]NA[/C][C]NA[/C][C]-15.6644[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]116[/C][C]115.037[/C][C]103.417[/C][C]11.6204[/C][C]0.962963[/C][/ROW]
[ROW][C]8[/C][C]120[/C][C]122.329[/C][C]103.917[/C][C]18.412[/C][C]-2.3287[/C][/ROW]
[ROW][C]9[/C][C]117[/C][C]121.162[/C][C]104.792[/C][C]16.3704[/C][C]-4.16204[/C][/ROW]
[ROW][C]10[/C][C]109[/C][C]111.94[/C][C]105.917[/C][C]6.02315[/C][C]-2.93981[/C][/ROW]
[ROW][C]11[/C][C]105[/C][C]106.641[/C][C]107.125[/C][C]-0.483796[/C][C]-1.6412[/C][/ROW]
[ROW][C]12[/C][C]107[/C][C]107.093[/C][C]108.417[/C][C]-1.32407[/C][C]-0.0925926[/C][/ROW]
[ROW][C]13[/C][C]109[/C][C]110.419[/C][C]109.708[/C][C]0.710648[/C][C]-1.41898[/C][/ROW]
[ROW][C]14[/C][C]109[/C][C]109.294[/C][C]111.042[/C][C]-1.74769[/C][C]-0.293981[/C][/ROW]
[ROW][C]15[/C][C]108[/C][C]106.086[/C][C]112.5[/C][C]-6.41435[/C][C]1.91435[/C][/ROW]
[ROW][C]16[/C][C]107[/C][C]103.28[/C][C]113.875[/C][C]-10.5949[/C][C]3.71991[/C][/ROW]
[ROW][C]17[/C][C]99[/C][C]98.1343[/C][C]115.042[/C][C]-16.9074[/C][C]0.865741[/C][/ROW]
[ROW][C]18[/C][C]103[/C][C]100.502[/C][C]116.167[/C][C]-15.6644[/C][C]2.49769[/C][/ROW]
[ROW][C]19[/C][C]131[/C][C]128.87[/C][C]117.25[/C][C]11.6204[/C][C]2.12963[/C][/ROW]
[ROW][C]20[/C][C]137[/C][C]136.537[/C][C]118.125[/C][C]18.412[/C][C]0.462963[/C][/ROW]
[ROW][C]21[/C][C]135[/C][C]135.079[/C][C]118.708[/C][C]16.3704[/C][C]-0.0787037[/C][/ROW]
[ROW][C]22[/C][C]124[/C][C]124.94[/C][C]118.917[/C][C]6.02315[/C][C]-0.939815[/C][/ROW]
[ROW][C]23[/C][C]118[/C][C]118.475[/C][C]118.958[/C][C]-0.483796[/C][C]-0.474537[/C][/ROW]
[ROW][C]24[/C][C]121[/C][C]117.634[/C][C]118.958[/C][C]-1.32407[/C][C]3.36574[/C][/ROW]
[ROW][C]25[/C][C]121[/C][C]119.586[/C][C]118.875[/C][C]0.710648[/C][C]1.41435[/C][/ROW]
[ROW][C]26[/C][C]118[/C][C]117.044[/C][C]118.792[/C][C]-1.74769[/C][C]0.956019[/C][/ROW]
[ROW][C]27[/C][C]113[/C][C]112.252[/C][C]118.667[/C][C]-6.41435[/C][C]0.747685[/C][/ROW]
[ROW][C]28[/C][C]107[/C][C]107.822[/C][C]118.417[/C][C]-10.5949[/C][C]-0.821759[/C][/ROW]
[ROW][C]29[/C][C]100[/C][C]101.093[/C][C]118[/C][C]-16.9074[/C][C]-1.09259[/C][/ROW]
[ROW][C]30[/C][C]102[/C][C]101.586[/C][C]117.25[/C][C]-15.6644[/C][C]0.414352[/C][/ROW]
[ROW][C]31[/C][C]130[/C][C]127.912[/C][C]116.292[/C][C]11.6204[/C][C]2.08796[/C][/ROW]
[ROW][C]32[/C][C]136[/C][C]133.745[/C][C]115.333[/C][C]18.412[/C][C]2.25463[/C][/ROW]
[ROW][C]33[/C][C]133[/C][C]130.745[/C][C]114.375[/C][C]16.3704[/C][C]2.25463[/C][/ROW]
[ROW][C]34[/C][C]120[/C][C]119.565[/C][C]113.542[/C][C]6.02315[/C][C]0.435185[/C][/ROW]
[ROW][C]35[/C][C]112[/C][C]112.35[/C][C]112.833[/C][C]-0.483796[/C][C]-0.349537[/C][/ROW]
[ROW][C]36[/C][C]109[/C][C]110.759[/C][C]112.083[/C][C]-1.32407[/C][C]-1.75926[/C][/ROW]
[ROW][C]37[/C][C]110[/C][C]111.961[/C][C]111.25[/C][C]0.710648[/C][C]-1.96065[/C][/ROW]
[ROW][C]38[/C][C]106[/C][C]108.711[/C][C]110.458[/C][C]-1.74769[/C][C]-2.71065[/C][/ROW]
[ROW][C]39[/C][C]102[/C][C]103.294[/C][C]109.708[/C][C]-6.41435[/C][C]-1.29398[/C][/ROW]
[ROW][C]40[/C][C]98[/C][C]98.4884[/C][C]109.083[/C][C]-10.5949[/C][C]-0.488426[/C][/ROW]
[ROW][C]41[/C][C]92[/C][C]91.7593[/C][C]108.667[/C][C]-16.9074[/C][C]0.240741[/C][/ROW]
[ROW][C]42[/C][C]92[/C][C]92.7106[/C][C]108.375[/C][C]-15.6644[/C][C]-0.710648[/C][/ROW]
[ROW][C]43[/C][C]120[/C][C]119.912[/C][C]108.292[/C][C]11.6204[/C][C]0.087963[/C][/ROW]
[ROW][C]44[/C][C]127[/C][C]126.912[/C][C]108.5[/C][C]18.412[/C][C]0.087963[/C][/ROW]
[ROW][C]45[/C][C]124[/C][C]125.12[/C][C]108.75[/C][C]16.3704[/C][C]-1.12037[/C][/ROW]
[ROW][C]46[/C][C]114[/C][C]114.94[/C][C]108.917[/C][C]6.02315[/C][C]-0.939815[/C][/ROW]
[ROW][C]47[/C][C]108[/C][C]108.683[/C][C]109.167[/C][C]-0.483796[/C][C]-0.68287[/C][/ROW]
[ROW][C]48[/C][C]106[/C][C]108.259[/C][C]109.583[/C][C]-1.32407[/C][C]-2.25926[/C][/ROW]
[ROW][C]49[/C][C]111[/C][C]110.627[/C][C]109.917[/C][C]0.710648[/C][C]0.372685[/C][/ROW]
[ROW][C]50[/C][C]110[/C][C]108.544[/C][C]110.292[/C][C]-1.74769[/C][C]1.45602[/C][/ROW]
[ROW][C]51[/C][C]104[/C][C]104.544[/C][C]110.958[/C][C]-6.41435[/C][C]-0.543981[/C][/ROW]
[ROW][C]52[/C][C]100[/C][C]101.197[/C][C]111.792[/C][C]-10.5949[/C][C]-1.19676[/C][/ROW]
[ROW][C]53[/C][C]96[/C][C]95.7593[/C][C]112.667[/C][C]-16.9074[/C][C]0.240741[/C][/ROW]
[ROW][C]54[/C][C]98[/C][C]97.8356[/C][C]113.5[/C][C]-15.6644[/C][C]0.164352[/C][/ROW]
[ROW][C]55[/C][C]122[/C][C]125.829[/C][C]114.208[/C][C]11.6204[/C][C]-3.8287[/C][/ROW]
[ROW][C]56[/C][C]134[/C][C]133.162[/C][C]114.75[/C][C]18.412[/C][C]0.837963[/C][/ROW]
[ROW][C]57[/C][C]133[/C][C]131.662[/C][C]115.292[/C][C]16.3704[/C][C]1.33796[/C][/ROW]
[ROW][C]58[/C][C]125[/C][C]121.94[/C][C]115.917[/C][C]6.02315[/C][C]3.06019[/C][/ROW]
[ROW][C]59[/C][C]118[/C][C]116.016[/C][C]116.5[/C][C]-0.483796[/C][C]1.9838[/C][/ROW]
[ROW][C]60[/C][C]116[/C][C]115.593[/C][C]116.917[/C][C]-1.32407[/C][C]0.407407[/C][/ROW]
[ROW][C]61[/C][C]118[/C][C]118.086[/C][C]117.375[/C][C]0.710648[/C][C]-0.0856481[/C][/ROW]
[ROW][C]62[/C][C]116[/C][C]116.002[/C][C]117.75[/C][C]-1.74769[/C][C]-0.00231481[/C][/ROW]
[ROW][C]63[/C][C]111[/C][C]111.586[/C][C]118[/C][C]-6.41435[/C][C]-0.585648[/C][/ROW]
[ROW][C]64[/C][C]108[/C][C]107.613[/C][C]118.208[/C][C]-10.5949[/C][C]0.386574[/C][/ROW]
[ROW][C]65[/C][C]102[/C][C]101.384[/C][C]118.292[/C][C]-16.9074[/C][C]0.615741[/C][/ROW]
[ROW][C]66[/C][C]102[/C][C]102.711[/C][C]118.375[/C][C]-15.6644[/C][C]-0.710648[/C][/ROW]
[ROW][C]67[/C][C]129[/C][C]130.12[/C][C]118.5[/C][C]11.6204[/C][C]-1.12037[/C][/ROW]
[ROW][C]68[/C][C]136[/C][C]136.995[/C][C]118.583[/C][C]18.412[/C][C]-0.99537[/C][/ROW]
[ROW][C]69[/C][C]137[/C][C]134.912[/C][C]118.542[/C][C]16.3704[/C][C]2.08796[/C][/ROW]
[ROW][C]70[/C][C]126[/C][C]124.356[/C][C]118.333[/C][C]6.02315[/C][C]1.64352[/C][/ROW]
[ROW][C]71[/C][C]119[/C][C]117.516[/C][C]118[/C][C]-0.483796[/C][C]1.4838[/C][/ROW]
[ROW][C]72[/C][C]117[/C][C]116.343[/C][C]117.667[/C][C]-1.32407[/C][C]0.657407[/C][/ROW]
[ROW][C]73[/C][C]120[/C][C]118.002[/C][C]117.292[/C][C]0.710648[/C][C]1.99769[/C][/ROW]
[ROW][C]74[/C][C]116[/C][C]115.086[/C][C]116.833[/C][C]-1.74769[/C][C]0.914352[/C][/ROW]
[ROW][C]75[/C][C]110[/C][C]109.919[/C][C]116.333[/C][C]-6.41435[/C][C]0.0810185[/C][/ROW]
[ROW][C]76[/C][C]104[/C][C]105.28[/C][C]115.875[/C][C]-10.5949[/C][C]-1.28009[/C][/ROW]
[ROW][C]77[/C][C]98[/C][C]98.5509[/C][C]115.458[/C][C]-16.9074[/C][C]-0.550926[/C][/ROW]
[ROW][C]78[/C][C]98[/C][C]99.3356[/C][C]115[/C][C]-15.6644[/C][C]-1.33565[/C][/ROW]
[ROW][C]79[/C][C]124[/C][C]NA[/C][C]NA[/C][C]11.6204[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]130[/C][C]NA[/C][C]NA[/C][C]18.412[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]131[/C][C]NA[/C][C]NA[/C][C]16.3704[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]121[/C][C]NA[/C][C]NA[/C][C]6.02315[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]114[/C][C]NA[/C][C]NA[/C][C]-0.483796[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]111[/C][C]NA[/C][C]NA[/C][C]-1.32407[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278456&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278456&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
1105NANA0.710648NA
2101NANA-1.74769NA
395NANA-6.41435NA
493NANA-10.5949NA
584NANA-16.9074NA
687NANA-15.6644NA
7116115.037103.41711.62040.962963
8120122.329103.91718.412-2.3287
9117121.162104.79216.3704-4.16204
10109111.94105.9176.02315-2.93981
11105106.641107.125-0.483796-1.6412
12107107.093108.417-1.32407-0.0925926
13109110.419109.7080.710648-1.41898
14109109.294111.042-1.74769-0.293981
15108106.086112.5-6.414351.91435
16107103.28113.875-10.59493.71991
179998.1343115.042-16.90740.865741
18103100.502116.167-15.66442.49769
19131128.87117.2511.62042.12963
20137136.537118.12518.4120.462963
21135135.079118.70816.3704-0.0787037
22124124.94118.9176.02315-0.939815
23118118.475118.958-0.483796-0.474537
24121117.634118.958-1.324073.36574
25121119.586118.8750.7106481.41435
26118117.044118.792-1.747690.956019
27113112.252118.667-6.414350.747685
28107107.822118.417-10.5949-0.821759
29100101.093118-16.9074-1.09259
30102101.586117.25-15.66440.414352
31130127.912116.29211.62042.08796
32136133.745115.33318.4122.25463
33133130.745114.37516.37042.25463
34120119.565113.5426.023150.435185
35112112.35112.833-0.483796-0.349537
36109110.759112.083-1.32407-1.75926
37110111.961111.250.710648-1.96065
38106108.711110.458-1.74769-2.71065
39102103.294109.708-6.41435-1.29398
409898.4884109.083-10.5949-0.488426
419291.7593108.667-16.90740.240741
429292.7106108.375-15.6644-0.710648
43120119.912108.29211.62040.087963
44127126.912108.518.4120.087963
45124125.12108.7516.3704-1.12037
46114114.94108.9176.02315-0.939815
47108108.683109.167-0.483796-0.68287
48106108.259109.583-1.32407-2.25926
49111110.627109.9170.7106480.372685
50110108.544110.292-1.747691.45602
51104104.544110.958-6.41435-0.543981
52100101.197111.792-10.5949-1.19676
539695.7593112.667-16.90740.240741
549897.8356113.5-15.66440.164352
55122125.829114.20811.6204-3.8287
56134133.162114.7518.4120.837963
57133131.662115.29216.37041.33796
58125121.94115.9176.023153.06019
59118116.016116.5-0.4837961.9838
60116115.593116.917-1.324070.407407
61118118.086117.3750.710648-0.0856481
62116116.002117.75-1.74769-0.00231481
63111111.586118-6.41435-0.585648
64108107.613118.208-10.59490.386574
65102101.384118.292-16.90740.615741
66102102.711118.375-15.6644-0.710648
67129130.12118.511.6204-1.12037
68136136.995118.58318.412-0.99537
69137134.912118.54216.37042.08796
70126124.356118.3336.023151.64352
71119117.516118-0.4837961.4838
72117116.343117.667-1.324070.657407
73120118.002117.2920.7106481.99769
74116115.086116.833-1.747690.914352
75110109.919116.333-6.414350.0810185
76104105.28115.875-10.5949-1.28009
779898.5509115.458-16.9074-0.550926
789899.3356115-15.6644-1.33565
79124NANA11.6204NA
80130NANA18.412NA
81131NANA16.3704NA
82121NANA6.02315NA
83114NANA-0.483796NA
84111NANA-1.32407NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')