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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 09 Aug 2017 13:52:39 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/09/t1502279665oebmf9d5evi6tk2.htm/, Retrieved Tue, 14 May 2024 20:53:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307015, Retrieved Tue, 14 May 2024 20:53:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
133448
132951
132447
131404
141722
141176
133448
128310
128807
128807
129360
130354
131901
131901
130907
128310
141722
143766
140679
133448
136542
131901
133994
134995
136038
133448
133994
130354
141722
145313
142226
136542
142723
136038
142226
141722
143269
137585
143766
143269
152544
150451
142226
138082
143766
136038
141722
142723
144816
140182
142723
144270
149954
145313
139132
132447
138635
121625
129857
134491
139132
132447
132447
132447
136038
130907
124173
118538
122626
106666
116445
122129
123172
117488
117985
116445
121625
117985
110810
105623
114394
95347
107716
113351
113351
106666
100485
99988
105623
100485
90713
83979
91210
74207
89663
97888
100485
94801
87619
92757
94801
93254
77791
70616
75747
60291
76251
81935
86569
78841
71610
75747
77791
73703
58247
51513
57694
40691
59241
70616




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307015&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307015&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307015&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1133448NANA4630.69NA
2132951NANA292.831NA
3132447NANA-336.068NA
4131404NANA628.993NA
5141722NANA7831.9NA
6141176NANA6139.42NA
7133448131943132622-679.1971505.49
8128310126345132514-6168.661965.16
9128807131976132406-429.271-3169.31
10128807120819132213-11393.37987.78
11129360129723132084-2360.3-363.284
121303541340341321921842.94-3680.44
131319011372311326014630.69-5330.4
14131901133409133116292.831-1507.91
15130907133316133652-336.068-2409.39
16128310134733134104628.993-6422.66
171417221422581344267831.9-535.562
181437661409521348126139.422814.46
19140679134499135178-679.1976180.32
20133448129246135415-6168.664201.95
21136542135179135608-429.2711363.48
22131901124428135822-11393.37472.7
23133994133546135907-2360.3447.549
241349951378141359711842.94-2819.15
251360381407311361004630.69-4692.82
26133448136586136294292.831-3138.33
27133994136344136680-336.068-2349.89
28130354137739137110628.993-7384.87
291417221454571376257831.9-3735.15
301453131443881382496139.42925.04
31142226138151138830-679.1974075.07
32136542133135139304-6168.663406.86
33142723139454139883-429.2713268.94
34136038129435140829-11393.36602.66
35142226139457141818-2360.32768.63
361417221443261424831842.94-2603.61
371432691473271426974630.69-4058.44
38137585143054142761292.831-5468.75
39143766142532142869-336.0681233.53
40143269143541142912628.993-271.993
411525441507231428917831.91821.1
421504511490511429126139.421399.87
43142226142339143018-679.197-112.678
44138082137022143191-6168.661060.11
45143766142826143255-429.271939.98
46136038131860143254-11393.34177.74
47141722140827143187-2360.3894.966
481427231447081428651842.94-1985.28
491448161471531425224630.69-2337.03
50140182142451142159292.831-2269.46
51142723141374141710-336.0681349.03
52144270141525140896628.9932745.3
531499541476331398017831.92321.31
541453131451031389636139.42210.165
55139132137704138384-679.1971427.61
56132447131656137824-6168.66791.197
57138635136645137074-429.2711990.27
58121625124760136153-11393.3-3134.93
59129857132720135081-2360.3-2863.45
601344911357441339011842.94-1252.61
611391321373081326774630.691824.18
62132447131767131474292.831679.878
63132447129892130228-336.0682555.36
64132447129566128937628.9932880.63
651360381355871277557831.9450.855
661309071328211266816139.42-1913.75
67124173124822125501-679.197-649.053
68118538118044124213-6168.66493.697
69122626122558122987-429.27168.1879
70106666110324121718-11393.3-3658.47
71116445118090120450-2360.3-1645.16
721221291211541193111842.94974.558
731231721228471182164630.69325.017
74117488117414117121292.83173.7944
75117985115904116240-336.0682080.82
76116445116055115426628.993390.382
771216251224221145907831.9-797.187
781179851200001138616139.42-2015.25
79110810112407113086-679.197-1596.68
80105623106057112226-6168.66-434.095
81114394110616111046-429.2713777.6
829534798237.5109631-11393.3-2890.51
83107716105918108278-2360.31797.97
841133511087251068821842.944625.64
851133511099471053164630.693404.43
86106666103869103577292.8312796.5
87100485101373101709-336.068-887.766
889998810049199862628.993-502.993
89105623106061982297831.9-437.854
9010048510297296832.56139.42-2486.88
919071394972.995652.1-679.197-4259.89
92839798845394621.6-6168.66-4473.97
939121093161.993591.2-429.271-1951.9
947420781360.592753.8-11393.3-7153.51
958966389641.392001.6-2360.321.7157
969788893092.391249.41842.944795.68
9710048595040.490409.74630.695444.64
989480189607.389314.5292.8315193.71
998761987777.388113.4-336.068-158.307
1009275787518.286889.2628.9935238.76
1019480193582.585750.67831.91218.52
1029325490666.5845276139.422587.54
1037779182603.383282.5-679.197-4812.3
104706167586982037.7-6168.66-5253.01
1057574780276.480705.6-429.271-4529.35
1066029167936.679329.8-11393.3-7645.55
107762517555277912.3-2360.3698.966
1088193578231.9763891842.943703.1
1098656979390.7747604630.697178.31
1107884173442.573149.7292.8315398.46
1117161071265.571601.5-336.068344.526
1127574770661.770032.7628.9935085.34
1137779176339.168507.27831.91451.85
1147370373466.367326.96139.42236.706
11558247NANA-679.197NA
11651513NANA-6168.66NA
11757694NANA-429.271NA
11840691NANA-11393.3NA
11959241NANA-2360.3NA
12070616NANA1842.94NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 133448 & NA & NA & 4630.69 & NA \tabularnewline
2 & 132951 & NA & NA & 292.831 & NA \tabularnewline
3 & 132447 & NA & NA & -336.068 & NA \tabularnewline
4 & 131404 & NA & NA & 628.993 & NA \tabularnewline
5 & 141722 & NA & NA & 7831.9 & NA \tabularnewline
6 & 141176 & NA & NA & 6139.42 & NA \tabularnewline
7 & 133448 & 131943 & 132622 & -679.197 & 1505.49 \tabularnewline
8 & 128310 & 126345 & 132514 & -6168.66 & 1965.16 \tabularnewline
9 & 128807 & 131976 & 132406 & -429.271 & -3169.31 \tabularnewline
10 & 128807 & 120819 & 132213 & -11393.3 & 7987.78 \tabularnewline
11 & 129360 & 129723 & 132084 & -2360.3 & -363.284 \tabularnewline
12 & 130354 & 134034 & 132192 & 1842.94 & -3680.44 \tabularnewline
13 & 131901 & 137231 & 132601 & 4630.69 & -5330.4 \tabularnewline
14 & 131901 & 133409 & 133116 & 292.831 & -1507.91 \tabularnewline
15 & 130907 & 133316 & 133652 & -336.068 & -2409.39 \tabularnewline
16 & 128310 & 134733 & 134104 & 628.993 & -6422.66 \tabularnewline
17 & 141722 & 142258 & 134426 & 7831.9 & -535.562 \tabularnewline
18 & 143766 & 140952 & 134812 & 6139.42 & 2814.46 \tabularnewline
19 & 140679 & 134499 & 135178 & -679.197 & 6180.32 \tabularnewline
20 & 133448 & 129246 & 135415 & -6168.66 & 4201.95 \tabularnewline
21 & 136542 & 135179 & 135608 & -429.271 & 1363.48 \tabularnewline
22 & 131901 & 124428 & 135822 & -11393.3 & 7472.7 \tabularnewline
23 & 133994 & 133546 & 135907 & -2360.3 & 447.549 \tabularnewline
24 & 134995 & 137814 & 135971 & 1842.94 & -2819.15 \tabularnewline
25 & 136038 & 140731 & 136100 & 4630.69 & -4692.82 \tabularnewline
26 & 133448 & 136586 & 136294 & 292.831 & -3138.33 \tabularnewline
27 & 133994 & 136344 & 136680 & -336.068 & -2349.89 \tabularnewline
28 & 130354 & 137739 & 137110 & 628.993 & -7384.87 \tabularnewline
29 & 141722 & 145457 & 137625 & 7831.9 & -3735.15 \tabularnewline
30 & 145313 & 144388 & 138249 & 6139.42 & 925.04 \tabularnewline
31 & 142226 & 138151 & 138830 & -679.197 & 4075.07 \tabularnewline
32 & 136542 & 133135 & 139304 & -6168.66 & 3406.86 \tabularnewline
33 & 142723 & 139454 & 139883 & -429.271 & 3268.94 \tabularnewline
34 & 136038 & 129435 & 140829 & -11393.3 & 6602.66 \tabularnewline
35 & 142226 & 139457 & 141818 & -2360.3 & 2768.63 \tabularnewline
36 & 141722 & 144326 & 142483 & 1842.94 & -2603.61 \tabularnewline
37 & 143269 & 147327 & 142697 & 4630.69 & -4058.44 \tabularnewline
38 & 137585 & 143054 & 142761 & 292.831 & -5468.75 \tabularnewline
39 & 143766 & 142532 & 142869 & -336.068 & 1233.53 \tabularnewline
40 & 143269 & 143541 & 142912 & 628.993 & -271.993 \tabularnewline
41 & 152544 & 150723 & 142891 & 7831.9 & 1821.1 \tabularnewline
42 & 150451 & 149051 & 142912 & 6139.42 & 1399.87 \tabularnewline
43 & 142226 & 142339 & 143018 & -679.197 & -112.678 \tabularnewline
44 & 138082 & 137022 & 143191 & -6168.66 & 1060.11 \tabularnewline
45 & 143766 & 142826 & 143255 & -429.271 & 939.98 \tabularnewline
46 & 136038 & 131860 & 143254 & -11393.3 & 4177.74 \tabularnewline
47 & 141722 & 140827 & 143187 & -2360.3 & 894.966 \tabularnewline
48 & 142723 & 144708 & 142865 & 1842.94 & -1985.28 \tabularnewline
49 & 144816 & 147153 & 142522 & 4630.69 & -2337.03 \tabularnewline
50 & 140182 & 142451 & 142159 & 292.831 & -2269.46 \tabularnewline
51 & 142723 & 141374 & 141710 & -336.068 & 1349.03 \tabularnewline
52 & 144270 & 141525 & 140896 & 628.993 & 2745.3 \tabularnewline
53 & 149954 & 147633 & 139801 & 7831.9 & 2321.31 \tabularnewline
54 & 145313 & 145103 & 138963 & 6139.42 & 210.165 \tabularnewline
55 & 139132 & 137704 & 138384 & -679.197 & 1427.61 \tabularnewline
56 & 132447 & 131656 & 137824 & -6168.66 & 791.197 \tabularnewline
57 & 138635 & 136645 & 137074 & -429.271 & 1990.27 \tabularnewline
58 & 121625 & 124760 & 136153 & -11393.3 & -3134.93 \tabularnewline
59 & 129857 & 132720 & 135081 & -2360.3 & -2863.45 \tabularnewline
60 & 134491 & 135744 & 133901 & 1842.94 & -1252.61 \tabularnewline
61 & 139132 & 137308 & 132677 & 4630.69 & 1824.18 \tabularnewline
62 & 132447 & 131767 & 131474 & 292.831 & 679.878 \tabularnewline
63 & 132447 & 129892 & 130228 & -336.068 & 2555.36 \tabularnewline
64 & 132447 & 129566 & 128937 & 628.993 & 2880.63 \tabularnewline
65 & 136038 & 135587 & 127755 & 7831.9 & 450.855 \tabularnewline
66 & 130907 & 132821 & 126681 & 6139.42 & -1913.75 \tabularnewline
67 & 124173 & 124822 & 125501 & -679.197 & -649.053 \tabularnewline
68 & 118538 & 118044 & 124213 & -6168.66 & 493.697 \tabularnewline
69 & 122626 & 122558 & 122987 & -429.271 & 68.1879 \tabularnewline
70 & 106666 & 110324 & 121718 & -11393.3 & -3658.47 \tabularnewline
71 & 116445 & 118090 & 120450 & -2360.3 & -1645.16 \tabularnewline
72 & 122129 & 121154 & 119311 & 1842.94 & 974.558 \tabularnewline
73 & 123172 & 122847 & 118216 & 4630.69 & 325.017 \tabularnewline
74 & 117488 & 117414 & 117121 & 292.831 & 73.7944 \tabularnewline
75 & 117985 & 115904 & 116240 & -336.068 & 2080.82 \tabularnewline
76 & 116445 & 116055 & 115426 & 628.993 & 390.382 \tabularnewline
77 & 121625 & 122422 & 114590 & 7831.9 & -797.187 \tabularnewline
78 & 117985 & 120000 & 113861 & 6139.42 & -2015.25 \tabularnewline
79 & 110810 & 112407 & 113086 & -679.197 & -1596.68 \tabularnewline
80 & 105623 & 106057 & 112226 & -6168.66 & -434.095 \tabularnewline
81 & 114394 & 110616 & 111046 & -429.271 & 3777.6 \tabularnewline
82 & 95347 & 98237.5 & 109631 & -11393.3 & -2890.51 \tabularnewline
83 & 107716 & 105918 & 108278 & -2360.3 & 1797.97 \tabularnewline
84 & 113351 & 108725 & 106882 & 1842.94 & 4625.64 \tabularnewline
85 & 113351 & 109947 & 105316 & 4630.69 & 3404.43 \tabularnewline
86 & 106666 & 103869 & 103577 & 292.831 & 2796.5 \tabularnewline
87 & 100485 & 101373 & 101709 & -336.068 & -887.766 \tabularnewline
88 & 99988 & 100491 & 99862 & 628.993 & -502.993 \tabularnewline
89 & 105623 & 106061 & 98229 & 7831.9 & -437.854 \tabularnewline
90 & 100485 & 102972 & 96832.5 & 6139.42 & -2486.88 \tabularnewline
91 & 90713 & 94972.9 & 95652.1 & -679.197 & -4259.89 \tabularnewline
92 & 83979 & 88453 & 94621.6 & -6168.66 & -4473.97 \tabularnewline
93 & 91210 & 93161.9 & 93591.2 & -429.271 & -1951.9 \tabularnewline
94 & 74207 & 81360.5 & 92753.8 & -11393.3 & -7153.51 \tabularnewline
95 & 89663 & 89641.3 & 92001.6 & -2360.3 & 21.7157 \tabularnewline
96 & 97888 & 93092.3 & 91249.4 & 1842.94 & 4795.68 \tabularnewline
97 & 100485 & 95040.4 & 90409.7 & 4630.69 & 5444.64 \tabularnewline
98 & 94801 & 89607.3 & 89314.5 & 292.831 & 5193.71 \tabularnewline
99 & 87619 & 87777.3 & 88113.4 & -336.068 & -158.307 \tabularnewline
100 & 92757 & 87518.2 & 86889.2 & 628.993 & 5238.76 \tabularnewline
101 & 94801 & 93582.5 & 85750.6 & 7831.9 & 1218.52 \tabularnewline
102 & 93254 & 90666.5 & 84527 & 6139.42 & 2587.54 \tabularnewline
103 & 77791 & 82603.3 & 83282.5 & -679.197 & -4812.3 \tabularnewline
104 & 70616 & 75869 & 82037.7 & -6168.66 & -5253.01 \tabularnewline
105 & 75747 & 80276.4 & 80705.6 & -429.271 & -4529.35 \tabularnewline
106 & 60291 & 67936.6 & 79329.8 & -11393.3 & -7645.55 \tabularnewline
107 & 76251 & 75552 & 77912.3 & -2360.3 & 698.966 \tabularnewline
108 & 81935 & 78231.9 & 76389 & 1842.94 & 3703.1 \tabularnewline
109 & 86569 & 79390.7 & 74760 & 4630.69 & 7178.31 \tabularnewline
110 & 78841 & 73442.5 & 73149.7 & 292.831 & 5398.46 \tabularnewline
111 & 71610 & 71265.5 & 71601.5 & -336.068 & 344.526 \tabularnewline
112 & 75747 & 70661.7 & 70032.7 & 628.993 & 5085.34 \tabularnewline
113 & 77791 & 76339.1 & 68507.2 & 7831.9 & 1451.85 \tabularnewline
114 & 73703 & 73466.3 & 67326.9 & 6139.42 & 236.706 \tabularnewline
115 & 58247 & NA & NA & -679.197 & NA \tabularnewline
116 & 51513 & NA & NA & -6168.66 & NA \tabularnewline
117 & 57694 & NA & NA & -429.271 & NA \tabularnewline
118 & 40691 & NA & NA & -11393.3 & NA \tabularnewline
119 & 59241 & NA & NA & -2360.3 & NA \tabularnewline
120 & 70616 & NA & NA & 1842.94 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307015&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]133448[/C][C]NA[/C][C]NA[/C][C]4630.69[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]132951[/C][C]NA[/C][C]NA[/C][C]292.831[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]132447[/C][C]NA[/C][C]NA[/C][C]-336.068[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]131404[/C][C]NA[/C][C]NA[/C][C]628.993[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]141722[/C][C]NA[/C][C]NA[/C][C]7831.9[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]141176[/C][C]NA[/C][C]NA[/C][C]6139.42[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]133448[/C][C]131943[/C][C]132622[/C][C]-679.197[/C][C]1505.49[/C][/ROW]
[ROW][C]8[/C][C]128310[/C][C]126345[/C][C]132514[/C][C]-6168.66[/C][C]1965.16[/C][/ROW]
[ROW][C]9[/C][C]128807[/C][C]131976[/C][C]132406[/C][C]-429.271[/C][C]-3169.31[/C][/ROW]
[ROW][C]10[/C][C]128807[/C][C]120819[/C][C]132213[/C][C]-11393.3[/C][C]7987.78[/C][/ROW]
[ROW][C]11[/C][C]129360[/C][C]129723[/C][C]132084[/C][C]-2360.3[/C][C]-363.284[/C][/ROW]
[ROW][C]12[/C][C]130354[/C][C]134034[/C][C]132192[/C][C]1842.94[/C][C]-3680.44[/C][/ROW]
[ROW][C]13[/C][C]131901[/C][C]137231[/C][C]132601[/C][C]4630.69[/C][C]-5330.4[/C][/ROW]
[ROW][C]14[/C][C]131901[/C][C]133409[/C][C]133116[/C][C]292.831[/C][C]-1507.91[/C][/ROW]
[ROW][C]15[/C][C]130907[/C][C]133316[/C][C]133652[/C][C]-336.068[/C][C]-2409.39[/C][/ROW]
[ROW][C]16[/C][C]128310[/C][C]134733[/C][C]134104[/C][C]628.993[/C][C]-6422.66[/C][/ROW]
[ROW][C]17[/C][C]141722[/C][C]142258[/C][C]134426[/C][C]7831.9[/C][C]-535.562[/C][/ROW]
[ROW][C]18[/C][C]143766[/C][C]140952[/C][C]134812[/C][C]6139.42[/C][C]2814.46[/C][/ROW]
[ROW][C]19[/C][C]140679[/C][C]134499[/C][C]135178[/C][C]-679.197[/C][C]6180.32[/C][/ROW]
[ROW][C]20[/C][C]133448[/C][C]129246[/C][C]135415[/C][C]-6168.66[/C][C]4201.95[/C][/ROW]
[ROW][C]21[/C][C]136542[/C][C]135179[/C][C]135608[/C][C]-429.271[/C][C]1363.48[/C][/ROW]
[ROW][C]22[/C][C]131901[/C][C]124428[/C][C]135822[/C][C]-11393.3[/C][C]7472.7[/C][/ROW]
[ROW][C]23[/C][C]133994[/C][C]133546[/C][C]135907[/C][C]-2360.3[/C][C]447.549[/C][/ROW]
[ROW][C]24[/C][C]134995[/C][C]137814[/C][C]135971[/C][C]1842.94[/C][C]-2819.15[/C][/ROW]
[ROW][C]25[/C][C]136038[/C][C]140731[/C][C]136100[/C][C]4630.69[/C][C]-4692.82[/C][/ROW]
[ROW][C]26[/C][C]133448[/C][C]136586[/C][C]136294[/C][C]292.831[/C][C]-3138.33[/C][/ROW]
[ROW][C]27[/C][C]133994[/C][C]136344[/C][C]136680[/C][C]-336.068[/C][C]-2349.89[/C][/ROW]
[ROW][C]28[/C][C]130354[/C][C]137739[/C][C]137110[/C][C]628.993[/C][C]-7384.87[/C][/ROW]
[ROW][C]29[/C][C]141722[/C][C]145457[/C][C]137625[/C][C]7831.9[/C][C]-3735.15[/C][/ROW]
[ROW][C]30[/C][C]145313[/C][C]144388[/C][C]138249[/C][C]6139.42[/C][C]925.04[/C][/ROW]
[ROW][C]31[/C][C]142226[/C][C]138151[/C][C]138830[/C][C]-679.197[/C][C]4075.07[/C][/ROW]
[ROW][C]32[/C][C]136542[/C][C]133135[/C][C]139304[/C][C]-6168.66[/C][C]3406.86[/C][/ROW]
[ROW][C]33[/C][C]142723[/C][C]139454[/C][C]139883[/C][C]-429.271[/C][C]3268.94[/C][/ROW]
[ROW][C]34[/C][C]136038[/C][C]129435[/C][C]140829[/C][C]-11393.3[/C][C]6602.66[/C][/ROW]
[ROW][C]35[/C][C]142226[/C][C]139457[/C][C]141818[/C][C]-2360.3[/C][C]2768.63[/C][/ROW]
[ROW][C]36[/C][C]141722[/C][C]144326[/C][C]142483[/C][C]1842.94[/C][C]-2603.61[/C][/ROW]
[ROW][C]37[/C][C]143269[/C][C]147327[/C][C]142697[/C][C]4630.69[/C][C]-4058.44[/C][/ROW]
[ROW][C]38[/C][C]137585[/C][C]143054[/C][C]142761[/C][C]292.831[/C][C]-5468.75[/C][/ROW]
[ROW][C]39[/C][C]143766[/C][C]142532[/C][C]142869[/C][C]-336.068[/C][C]1233.53[/C][/ROW]
[ROW][C]40[/C][C]143269[/C][C]143541[/C][C]142912[/C][C]628.993[/C][C]-271.993[/C][/ROW]
[ROW][C]41[/C][C]152544[/C][C]150723[/C][C]142891[/C][C]7831.9[/C][C]1821.1[/C][/ROW]
[ROW][C]42[/C][C]150451[/C][C]149051[/C][C]142912[/C][C]6139.42[/C][C]1399.87[/C][/ROW]
[ROW][C]43[/C][C]142226[/C][C]142339[/C][C]143018[/C][C]-679.197[/C][C]-112.678[/C][/ROW]
[ROW][C]44[/C][C]138082[/C][C]137022[/C][C]143191[/C][C]-6168.66[/C][C]1060.11[/C][/ROW]
[ROW][C]45[/C][C]143766[/C][C]142826[/C][C]143255[/C][C]-429.271[/C][C]939.98[/C][/ROW]
[ROW][C]46[/C][C]136038[/C][C]131860[/C][C]143254[/C][C]-11393.3[/C][C]4177.74[/C][/ROW]
[ROW][C]47[/C][C]141722[/C][C]140827[/C][C]143187[/C][C]-2360.3[/C][C]894.966[/C][/ROW]
[ROW][C]48[/C][C]142723[/C][C]144708[/C][C]142865[/C][C]1842.94[/C][C]-1985.28[/C][/ROW]
[ROW][C]49[/C][C]144816[/C][C]147153[/C][C]142522[/C][C]4630.69[/C][C]-2337.03[/C][/ROW]
[ROW][C]50[/C][C]140182[/C][C]142451[/C][C]142159[/C][C]292.831[/C][C]-2269.46[/C][/ROW]
[ROW][C]51[/C][C]142723[/C][C]141374[/C][C]141710[/C][C]-336.068[/C][C]1349.03[/C][/ROW]
[ROW][C]52[/C][C]144270[/C][C]141525[/C][C]140896[/C][C]628.993[/C][C]2745.3[/C][/ROW]
[ROW][C]53[/C][C]149954[/C][C]147633[/C][C]139801[/C][C]7831.9[/C][C]2321.31[/C][/ROW]
[ROW][C]54[/C][C]145313[/C][C]145103[/C][C]138963[/C][C]6139.42[/C][C]210.165[/C][/ROW]
[ROW][C]55[/C][C]139132[/C][C]137704[/C][C]138384[/C][C]-679.197[/C][C]1427.61[/C][/ROW]
[ROW][C]56[/C][C]132447[/C][C]131656[/C][C]137824[/C][C]-6168.66[/C][C]791.197[/C][/ROW]
[ROW][C]57[/C][C]138635[/C][C]136645[/C][C]137074[/C][C]-429.271[/C][C]1990.27[/C][/ROW]
[ROW][C]58[/C][C]121625[/C][C]124760[/C][C]136153[/C][C]-11393.3[/C][C]-3134.93[/C][/ROW]
[ROW][C]59[/C][C]129857[/C][C]132720[/C][C]135081[/C][C]-2360.3[/C][C]-2863.45[/C][/ROW]
[ROW][C]60[/C][C]134491[/C][C]135744[/C][C]133901[/C][C]1842.94[/C][C]-1252.61[/C][/ROW]
[ROW][C]61[/C][C]139132[/C][C]137308[/C][C]132677[/C][C]4630.69[/C][C]1824.18[/C][/ROW]
[ROW][C]62[/C][C]132447[/C][C]131767[/C][C]131474[/C][C]292.831[/C][C]679.878[/C][/ROW]
[ROW][C]63[/C][C]132447[/C][C]129892[/C][C]130228[/C][C]-336.068[/C][C]2555.36[/C][/ROW]
[ROW][C]64[/C][C]132447[/C][C]129566[/C][C]128937[/C][C]628.993[/C][C]2880.63[/C][/ROW]
[ROW][C]65[/C][C]136038[/C][C]135587[/C][C]127755[/C][C]7831.9[/C][C]450.855[/C][/ROW]
[ROW][C]66[/C][C]130907[/C][C]132821[/C][C]126681[/C][C]6139.42[/C][C]-1913.75[/C][/ROW]
[ROW][C]67[/C][C]124173[/C][C]124822[/C][C]125501[/C][C]-679.197[/C][C]-649.053[/C][/ROW]
[ROW][C]68[/C][C]118538[/C][C]118044[/C][C]124213[/C][C]-6168.66[/C][C]493.697[/C][/ROW]
[ROW][C]69[/C][C]122626[/C][C]122558[/C][C]122987[/C][C]-429.271[/C][C]68.1879[/C][/ROW]
[ROW][C]70[/C][C]106666[/C][C]110324[/C][C]121718[/C][C]-11393.3[/C][C]-3658.47[/C][/ROW]
[ROW][C]71[/C][C]116445[/C][C]118090[/C][C]120450[/C][C]-2360.3[/C][C]-1645.16[/C][/ROW]
[ROW][C]72[/C][C]122129[/C][C]121154[/C][C]119311[/C][C]1842.94[/C][C]974.558[/C][/ROW]
[ROW][C]73[/C][C]123172[/C][C]122847[/C][C]118216[/C][C]4630.69[/C][C]325.017[/C][/ROW]
[ROW][C]74[/C][C]117488[/C][C]117414[/C][C]117121[/C][C]292.831[/C][C]73.7944[/C][/ROW]
[ROW][C]75[/C][C]117985[/C][C]115904[/C][C]116240[/C][C]-336.068[/C][C]2080.82[/C][/ROW]
[ROW][C]76[/C][C]116445[/C][C]116055[/C][C]115426[/C][C]628.993[/C][C]390.382[/C][/ROW]
[ROW][C]77[/C][C]121625[/C][C]122422[/C][C]114590[/C][C]7831.9[/C][C]-797.187[/C][/ROW]
[ROW][C]78[/C][C]117985[/C][C]120000[/C][C]113861[/C][C]6139.42[/C][C]-2015.25[/C][/ROW]
[ROW][C]79[/C][C]110810[/C][C]112407[/C][C]113086[/C][C]-679.197[/C][C]-1596.68[/C][/ROW]
[ROW][C]80[/C][C]105623[/C][C]106057[/C][C]112226[/C][C]-6168.66[/C][C]-434.095[/C][/ROW]
[ROW][C]81[/C][C]114394[/C][C]110616[/C][C]111046[/C][C]-429.271[/C][C]3777.6[/C][/ROW]
[ROW][C]82[/C][C]95347[/C][C]98237.5[/C][C]109631[/C][C]-11393.3[/C][C]-2890.51[/C][/ROW]
[ROW][C]83[/C][C]107716[/C][C]105918[/C][C]108278[/C][C]-2360.3[/C][C]1797.97[/C][/ROW]
[ROW][C]84[/C][C]113351[/C][C]108725[/C][C]106882[/C][C]1842.94[/C][C]4625.64[/C][/ROW]
[ROW][C]85[/C][C]113351[/C][C]109947[/C][C]105316[/C][C]4630.69[/C][C]3404.43[/C][/ROW]
[ROW][C]86[/C][C]106666[/C][C]103869[/C][C]103577[/C][C]292.831[/C][C]2796.5[/C][/ROW]
[ROW][C]87[/C][C]100485[/C][C]101373[/C][C]101709[/C][C]-336.068[/C][C]-887.766[/C][/ROW]
[ROW][C]88[/C][C]99988[/C][C]100491[/C][C]99862[/C][C]628.993[/C][C]-502.993[/C][/ROW]
[ROW][C]89[/C][C]105623[/C][C]106061[/C][C]98229[/C][C]7831.9[/C][C]-437.854[/C][/ROW]
[ROW][C]90[/C][C]100485[/C][C]102972[/C][C]96832.5[/C][C]6139.42[/C][C]-2486.88[/C][/ROW]
[ROW][C]91[/C][C]90713[/C][C]94972.9[/C][C]95652.1[/C][C]-679.197[/C][C]-4259.89[/C][/ROW]
[ROW][C]92[/C][C]83979[/C][C]88453[/C][C]94621.6[/C][C]-6168.66[/C][C]-4473.97[/C][/ROW]
[ROW][C]93[/C][C]91210[/C][C]93161.9[/C][C]93591.2[/C][C]-429.271[/C][C]-1951.9[/C][/ROW]
[ROW][C]94[/C][C]74207[/C][C]81360.5[/C][C]92753.8[/C][C]-11393.3[/C][C]-7153.51[/C][/ROW]
[ROW][C]95[/C][C]89663[/C][C]89641.3[/C][C]92001.6[/C][C]-2360.3[/C][C]21.7157[/C][/ROW]
[ROW][C]96[/C][C]97888[/C][C]93092.3[/C][C]91249.4[/C][C]1842.94[/C][C]4795.68[/C][/ROW]
[ROW][C]97[/C][C]100485[/C][C]95040.4[/C][C]90409.7[/C][C]4630.69[/C][C]5444.64[/C][/ROW]
[ROW][C]98[/C][C]94801[/C][C]89607.3[/C][C]89314.5[/C][C]292.831[/C][C]5193.71[/C][/ROW]
[ROW][C]99[/C][C]87619[/C][C]87777.3[/C][C]88113.4[/C][C]-336.068[/C][C]-158.307[/C][/ROW]
[ROW][C]100[/C][C]92757[/C][C]87518.2[/C][C]86889.2[/C][C]628.993[/C][C]5238.76[/C][/ROW]
[ROW][C]101[/C][C]94801[/C][C]93582.5[/C][C]85750.6[/C][C]7831.9[/C][C]1218.52[/C][/ROW]
[ROW][C]102[/C][C]93254[/C][C]90666.5[/C][C]84527[/C][C]6139.42[/C][C]2587.54[/C][/ROW]
[ROW][C]103[/C][C]77791[/C][C]82603.3[/C][C]83282.5[/C][C]-679.197[/C][C]-4812.3[/C][/ROW]
[ROW][C]104[/C][C]70616[/C][C]75869[/C][C]82037.7[/C][C]-6168.66[/C][C]-5253.01[/C][/ROW]
[ROW][C]105[/C][C]75747[/C][C]80276.4[/C][C]80705.6[/C][C]-429.271[/C][C]-4529.35[/C][/ROW]
[ROW][C]106[/C][C]60291[/C][C]67936.6[/C][C]79329.8[/C][C]-11393.3[/C][C]-7645.55[/C][/ROW]
[ROW][C]107[/C][C]76251[/C][C]75552[/C][C]77912.3[/C][C]-2360.3[/C][C]698.966[/C][/ROW]
[ROW][C]108[/C][C]81935[/C][C]78231.9[/C][C]76389[/C][C]1842.94[/C][C]3703.1[/C][/ROW]
[ROW][C]109[/C][C]86569[/C][C]79390.7[/C][C]74760[/C][C]4630.69[/C][C]7178.31[/C][/ROW]
[ROW][C]110[/C][C]78841[/C][C]73442.5[/C][C]73149.7[/C][C]292.831[/C][C]5398.46[/C][/ROW]
[ROW][C]111[/C][C]71610[/C][C]71265.5[/C][C]71601.5[/C][C]-336.068[/C][C]344.526[/C][/ROW]
[ROW][C]112[/C][C]75747[/C][C]70661.7[/C][C]70032.7[/C][C]628.993[/C][C]5085.34[/C][/ROW]
[ROW][C]113[/C][C]77791[/C][C]76339.1[/C][C]68507.2[/C][C]7831.9[/C][C]1451.85[/C][/ROW]
[ROW][C]114[/C][C]73703[/C][C]73466.3[/C][C]67326.9[/C][C]6139.42[/C][C]236.706[/C][/ROW]
[ROW][C]115[/C][C]58247[/C][C]NA[/C][C]NA[/C][C]-679.197[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]51513[/C][C]NA[/C][C]NA[/C][C]-6168.66[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]57694[/C][C]NA[/C][C]NA[/C][C]-429.271[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]40691[/C][C]NA[/C][C]NA[/C][C]-11393.3[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]59241[/C][C]NA[/C][C]NA[/C][C]-2360.3[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]70616[/C][C]NA[/C][C]NA[/C][C]1842.94[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307015&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307015&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
1133448NANA4630.69NA
2132951NANA292.831NA
3132447NANA-336.068NA
4131404NANA628.993NA
5141722NANA7831.9NA
6141176NANA6139.42NA
7133448131943132622-679.1971505.49
8128310126345132514-6168.661965.16
9128807131976132406-429.271-3169.31
10128807120819132213-11393.37987.78
11129360129723132084-2360.3-363.284
121303541340341321921842.94-3680.44
131319011372311326014630.69-5330.4
14131901133409133116292.831-1507.91
15130907133316133652-336.068-2409.39
16128310134733134104628.993-6422.66
171417221422581344267831.9-535.562
181437661409521348126139.422814.46
19140679134499135178-679.1976180.32
20133448129246135415-6168.664201.95
21136542135179135608-429.2711363.48
22131901124428135822-11393.37472.7
23133994133546135907-2360.3447.549
241349951378141359711842.94-2819.15
251360381407311361004630.69-4692.82
26133448136586136294292.831-3138.33
27133994136344136680-336.068-2349.89
28130354137739137110628.993-7384.87
291417221454571376257831.9-3735.15
301453131443881382496139.42925.04
31142226138151138830-679.1974075.07
32136542133135139304-6168.663406.86
33142723139454139883-429.2713268.94
34136038129435140829-11393.36602.66
35142226139457141818-2360.32768.63
361417221443261424831842.94-2603.61
371432691473271426974630.69-4058.44
38137585143054142761292.831-5468.75
39143766142532142869-336.0681233.53
40143269143541142912628.993-271.993
411525441507231428917831.91821.1
421504511490511429126139.421399.87
43142226142339143018-679.197-112.678
44138082137022143191-6168.661060.11
45143766142826143255-429.271939.98
46136038131860143254-11393.34177.74
47141722140827143187-2360.3894.966
481427231447081428651842.94-1985.28
491448161471531425224630.69-2337.03
50140182142451142159292.831-2269.46
51142723141374141710-336.0681349.03
52144270141525140896628.9932745.3
531499541476331398017831.92321.31
541453131451031389636139.42210.165
55139132137704138384-679.1971427.61
56132447131656137824-6168.66791.197
57138635136645137074-429.2711990.27
58121625124760136153-11393.3-3134.93
59129857132720135081-2360.3-2863.45
601344911357441339011842.94-1252.61
611391321373081326774630.691824.18
62132447131767131474292.831679.878
63132447129892130228-336.0682555.36
64132447129566128937628.9932880.63
651360381355871277557831.9450.855
661309071328211266816139.42-1913.75
67124173124822125501-679.197-649.053
68118538118044124213-6168.66493.697
69122626122558122987-429.27168.1879
70106666110324121718-11393.3-3658.47
71116445118090120450-2360.3-1645.16
721221291211541193111842.94974.558
731231721228471182164630.69325.017
74117488117414117121292.83173.7944
75117985115904116240-336.0682080.82
76116445116055115426628.993390.382
771216251224221145907831.9-797.187
781179851200001138616139.42-2015.25
79110810112407113086-679.197-1596.68
80105623106057112226-6168.66-434.095
81114394110616111046-429.2713777.6
829534798237.5109631-11393.3-2890.51
83107716105918108278-2360.31797.97
841133511087251068821842.944625.64
851133511099471053164630.693404.43
86106666103869103577292.8312796.5
87100485101373101709-336.068-887.766
889998810049199862628.993-502.993
89105623106061982297831.9-437.854
9010048510297296832.56139.42-2486.88
919071394972.995652.1-679.197-4259.89
92839798845394621.6-6168.66-4473.97
939121093161.993591.2-429.271-1951.9
947420781360.592753.8-11393.3-7153.51
958966389641.392001.6-2360.321.7157
969788893092.391249.41842.944795.68
9710048595040.490409.74630.695444.64
989480189607.389314.5292.8315193.71
998761987777.388113.4-336.068-158.307
1009275787518.286889.2628.9935238.76
1019480193582.585750.67831.91218.52
1029325490666.5845276139.422587.54
1037779182603.383282.5-679.197-4812.3
104706167586982037.7-6168.66-5253.01
1057574780276.480705.6-429.271-4529.35
1066029167936.679329.8-11393.3-7645.55
107762517555277912.3-2360.3698.966
1088193578231.9763891842.943703.1
1098656979390.7747604630.697178.31
1107884173442.573149.7292.8315398.46
1117161071265.571601.5-336.068344.526
1127574770661.770032.7628.9935085.34
1137779176339.168507.27831.91451.85
1147370373466.367326.96139.42236.706
11558247NANA-679.197NA
11651513NANA-6168.66NA
11757694NANA-429.271NA
11840691NANA-11393.3NA
11959241NANA-2360.3NA
12070616NANA1842.94NA



Parameters (Session):
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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')