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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Aug 2013 06:05:25 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/14/t1376475026n076trx1hmg5nd5.htm/, Retrieved Tue, 07 May 2024 04:16:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211087, Retrieved Tue, 07 May 2024 04:16:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact162
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Stap 29/1] [2013-08-14 10:05:25] [38a0db91cd47487c7649642dcb33e029] [Current]
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Dataseries X:
57
56
55
53
73
72
57
47
48
48
49
51
45
39
34
34
53
55
40
22
31
31
39
43
42
31
37
35
52
48
31
19
30
34
37
41
32
25
28
29
56
56
41
39
45
42
50
60
62
48
44
40
67
69
64
69
68
60
69
79
83
71
63
69
95
103
101
105
104
94
111
116
122
103
96
104
124
141
137
137
139
132
150
150
147
130
133
135
148
165
153
159
154
151
174
169
162
152
162
167
173
181
173
178
172
171
196
199
190
176
188
193
200
209
200
207
204
192
216
216




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211087&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211087&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211087&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
157NANA3.91474NA
256NANA-9.71026NA
355NANA-10.0621NA
453NANA-9.11767NA
573NANA7.44252NA
672NANA12.461NA
75756.4981551.498070.501929
84751.67453.7917-2.11767-4.674
94850.697152.2083-1.51119-2.69715
104844.655550.5417-5.886193.34452
114954.238848.91675.32215-5.23881
125155.141647.3757.76659-4.14159
134549.873145.95833.91474-4.87307
143934.498144.2083-9.710264.50193
153432.396242.4583-10.06211.60378
163431.92441.0417-9.117672.076
175347.359239.91677.442525.64082
185551.627739.166712.4613.3723
194040.206438.70831.49807-0.206404
202236.132338.25-2.11767-14.1323
213136.530538.0417-1.51119-5.53048
223132.322138.2083-5.88619-1.32215
233943.530538.20835.32215-4.53048
244345.641637.8757.76659-2.64159
254241.123137.20833.914740.876929
263126.998136.7083-9.710264.00193
273726.479636.5417-10.062110.5204
283527.507336.625-9.117677.49267
295244.109236.66677.442527.89082
304848.96136.512.461-0.961034
313137.4981361.49807-6.49807
321933.215735.3333-2.11767-14.2157
333033.197134.7083-1.51119-3.19715
343428.197134.0833-5.886195.80285
353739.3221345.32215-2.32215
364142.266634.57.76659-1.26659
373239.164735.253.91474-7.16474
382526.789736.5-9.71026-1.78974
392827.896237.9583-10.06210.103781
402929.79938.9167-9.11767-0.798997
415647.234239.79177.442528.76582
425653.58641.12512.4612.41397
434144.664743.16671.49807-3.66474
443943.257345.375-2.11767-4.25733
454545.488847-1.51119-0.488812
464242.238848.125-5.88619-0.238812
475054.363849.04175.32215-4.36381
486057.808350.04177.766592.19174
496255.456451.54173.914746.5436
504844.039753.75-9.710263.96026
514445.896255.9583-10.0621-1.89622
524048.54957.6667-9.11767-8.549
536766.650859.20837.442520.349151
546973.252760.791712.461-4.2527
556463.956462.45831.498070.0435957
566962.17464.2917-2.117676.826
576864.530566.0417-1.511193.46952
586062.155568.0417-5.88619-2.15548
596975.738870.41675.32215-6.73881
607980.7666737.76659-1.76659
618379.873175.95833.914743.12693
627169.289779-9.710261.71026
636371.937982-10.0621-8.93789
646975.79984.9167-9.11767-6.799
659595.525888.08337.44252-0.525849
66103103.83691.37512.461-0.836034
6710196.039794.54171.498074.96026
6810595.382397.5-2.117679.61767
6910498.6971100.208-1.511195.30285
709497.1555103.042-5.88619-3.15548
71111111.03105.7085.32215-0.0304784
72116116.267108.57.76659-0.26659
73122115.498111.5833.914746.50193
74103104.706114.417-9.71026-1.7064
7596107.146117.208-10.0621-11.1462
76104111.132120.25-9.11767-7.13233
77124130.901123.4587.44252-6.90085
78141138.961126.512.4612.03897
79137130.456128.9581.498076.5436
80137129.007131.125-2.117677.99267
81139132.28133.792-1.511196.71952
82132130.739136.625-5.886191.26119
83150144.239138.9175.322155.76119
84150148.683140.9177.766591.31674
85147146.498142.5833.914740.501929
86130134.456144.167-9.71026-4.4564
87133135.646145.708-10.0621-2.64622
88135138.007147.125-9.11767-3.00733
89148156.359148.9177.44252-8.35918
90165163.169150.70812.4611.83063
91153153.623152.1251.49807-0.623071
92159151.549153.667-2.117677.451
93154154.28155.792-1.51119-0.280478
94151152.447158.333-5.88619-1.44715
95174166.03160.7085.322157.96952
96169170.183162.4177.76659-1.18326
97162167.831163.9173.91474-5.8314
98152155.831165.542-9.71026-3.8314
99162157.021167.083-10.06214.97878
100167159.549168.667-9.117677.451
101173177.859170.4177.44252-4.85918
102181185.044172.58312.461-4.04437
103173176.4981751.49807-3.49807
104178175.049177.167-2.117672.951
105172177.739179.25-1.51119-5.73881
106171175.53181.417-5.88619-4.53048
107196188.947183.6255.322157.05285
108199193.683185.9177.766595.31674
109190192.123188.2083.91474-2.12307
110176180.831190.542-9.71026-4.8314
111188183.021193.083-10.06214.97878
112193186.174195.292-9.117676.826
113200204.4431977.44252-4.44252
114209211.003198.54212.461-2.0027
115200NANA1.49807NA
116207NANA-2.11767NA
117204NANA-1.51119NA
118192NANA-5.88619NA
119216NANA5.32215NA
120216NANA7.76659NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 57 & NA & NA & 3.91474 & NA \tabularnewline
2 & 56 & NA & NA & -9.71026 & NA \tabularnewline
3 & 55 & NA & NA & -10.0621 & NA \tabularnewline
4 & 53 & NA & NA & -9.11767 & NA \tabularnewline
5 & 73 & NA & NA & 7.44252 & NA \tabularnewline
6 & 72 & NA & NA & 12.461 & NA \tabularnewline
7 & 57 & 56.4981 & 55 & 1.49807 & 0.501929 \tabularnewline
8 & 47 & 51.674 & 53.7917 & -2.11767 & -4.674 \tabularnewline
9 & 48 & 50.6971 & 52.2083 & -1.51119 & -2.69715 \tabularnewline
10 & 48 & 44.6555 & 50.5417 & -5.88619 & 3.34452 \tabularnewline
11 & 49 & 54.2388 & 48.9167 & 5.32215 & -5.23881 \tabularnewline
12 & 51 & 55.1416 & 47.375 & 7.76659 & -4.14159 \tabularnewline
13 & 45 & 49.8731 & 45.9583 & 3.91474 & -4.87307 \tabularnewline
14 & 39 & 34.4981 & 44.2083 & -9.71026 & 4.50193 \tabularnewline
15 & 34 & 32.3962 & 42.4583 & -10.0621 & 1.60378 \tabularnewline
16 & 34 & 31.924 & 41.0417 & -9.11767 & 2.076 \tabularnewline
17 & 53 & 47.3592 & 39.9167 & 7.44252 & 5.64082 \tabularnewline
18 & 55 & 51.6277 & 39.1667 & 12.461 & 3.3723 \tabularnewline
19 & 40 & 40.2064 & 38.7083 & 1.49807 & -0.206404 \tabularnewline
20 & 22 & 36.1323 & 38.25 & -2.11767 & -14.1323 \tabularnewline
21 & 31 & 36.5305 & 38.0417 & -1.51119 & -5.53048 \tabularnewline
22 & 31 & 32.3221 & 38.2083 & -5.88619 & -1.32215 \tabularnewline
23 & 39 & 43.5305 & 38.2083 & 5.32215 & -4.53048 \tabularnewline
24 & 43 & 45.6416 & 37.875 & 7.76659 & -2.64159 \tabularnewline
25 & 42 & 41.1231 & 37.2083 & 3.91474 & 0.876929 \tabularnewline
26 & 31 & 26.9981 & 36.7083 & -9.71026 & 4.00193 \tabularnewline
27 & 37 & 26.4796 & 36.5417 & -10.0621 & 10.5204 \tabularnewline
28 & 35 & 27.5073 & 36.625 & -9.11767 & 7.49267 \tabularnewline
29 & 52 & 44.1092 & 36.6667 & 7.44252 & 7.89082 \tabularnewline
30 & 48 & 48.961 & 36.5 & 12.461 & -0.961034 \tabularnewline
31 & 31 & 37.4981 & 36 & 1.49807 & -6.49807 \tabularnewline
32 & 19 & 33.2157 & 35.3333 & -2.11767 & -14.2157 \tabularnewline
33 & 30 & 33.1971 & 34.7083 & -1.51119 & -3.19715 \tabularnewline
34 & 34 & 28.1971 & 34.0833 & -5.88619 & 5.80285 \tabularnewline
35 & 37 & 39.3221 & 34 & 5.32215 & -2.32215 \tabularnewline
36 & 41 & 42.2666 & 34.5 & 7.76659 & -1.26659 \tabularnewline
37 & 32 & 39.1647 & 35.25 & 3.91474 & -7.16474 \tabularnewline
38 & 25 & 26.7897 & 36.5 & -9.71026 & -1.78974 \tabularnewline
39 & 28 & 27.8962 & 37.9583 & -10.0621 & 0.103781 \tabularnewline
40 & 29 & 29.799 & 38.9167 & -9.11767 & -0.798997 \tabularnewline
41 & 56 & 47.2342 & 39.7917 & 7.44252 & 8.76582 \tabularnewline
42 & 56 & 53.586 & 41.125 & 12.461 & 2.41397 \tabularnewline
43 & 41 & 44.6647 & 43.1667 & 1.49807 & -3.66474 \tabularnewline
44 & 39 & 43.2573 & 45.375 & -2.11767 & -4.25733 \tabularnewline
45 & 45 & 45.4888 & 47 & -1.51119 & -0.488812 \tabularnewline
46 & 42 & 42.2388 & 48.125 & -5.88619 & -0.238812 \tabularnewline
47 & 50 & 54.3638 & 49.0417 & 5.32215 & -4.36381 \tabularnewline
48 & 60 & 57.8083 & 50.0417 & 7.76659 & 2.19174 \tabularnewline
49 & 62 & 55.4564 & 51.5417 & 3.91474 & 6.5436 \tabularnewline
50 & 48 & 44.0397 & 53.75 & -9.71026 & 3.96026 \tabularnewline
51 & 44 & 45.8962 & 55.9583 & -10.0621 & -1.89622 \tabularnewline
52 & 40 & 48.549 & 57.6667 & -9.11767 & -8.549 \tabularnewline
53 & 67 & 66.6508 & 59.2083 & 7.44252 & 0.349151 \tabularnewline
54 & 69 & 73.2527 & 60.7917 & 12.461 & -4.2527 \tabularnewline
55 & 64 & 63.9564 & 62.4583 & 1.49807 & 0.0435957 \tabularnewline
56 & 69 & 62.174 & 64.2917 & -2.11767 & 6.826 \tabularnewline
57 & 68 & 64.5305 & 66.0417 & -1.51119 & 3.46952 \tabularnewline
58 & 60 & 62.1555 & 68.0417 & -5.88619 & -2.15548 \tabularnewline
59 & 69 & 75.7388 & 70.4167 & 5.32215 & -6.73881 \tabularnewline
60 & 79 & 80.7666 & 73 & 7.76659 & -1.76659 \tabularnewline
61 & 83 & 79.8731 & 75.9583 & 3.91474 & 3.12693 \tabularnewline
62 & 71 & 69.2897 & 79 & -9.71026 & 1.71026 \tabularnewline
63 & 63 & 71.9379 & 82 & -10.0621 & -8.93789 \tabularnewline
64 & 69 & 75.799 & 84.9167 & -9.11767 & -6.799 \tabularnewline
65 & 95 & 95.5258 & 88.0833 & 7.44252 & -0.525849 \tabularnewline
66 & 103 & 103.836 & 91.375 & 12.461 & -0.836034 \tabularnewline
67 & 101 & 96.0397 & 94.5417 & 1.49807 & 4.96026 \tabularnewline
68 & 105 & 95.3823 & 97.5 & -2.11767 & 9.61767 \tabularnewline
69 & 104 & 98.6971 & 100.208 & -1.51119 & 5.30285 \tabularnewline
70 & 94 & 97.1555 & 103.042 & -5.88619 & -3.15548 \tabularnewline
71 & 111 & 111.03 & 105.708 & 5.32215 & -0.0304784 \tabularnewline
72 & 116 & 116.267 & 108.5 & 7.76659 & -0.26659 \tabularnewline
73 & 122 & 115.498 & 111.583 & 3.91474 & 6.50193 \tabularnewline
74 & 103 & 104.706 & 114.417 & -9.71026 & -1.7064 \tabularnewline
75 & 96 & 107.146 & 117.208 & -10.0621 & -11.1462 \tabularnewline
76 & 104 & 111.132 & 120.25 & -9.11767 & -7.13233 \tabularnewline
77 & 124 & 130.901 & 123.458 & 7.44252 & -6.90085 \tabularnewline
78 & 141 & 138.961 & 126.5 & 12.461 & 2.03897 \tabularnewline
79 & 137 & 130.456 & 128.958 & 1.49807 & 6.5436 \tabularnewline
80 & 137 & 129.007 & 131.125 & -2.11767 & 7.99267 \tabularnewline
81 & 139 & 132.28 & 133.792 & -1.51119 & 6.71952 \tabularnewline
82 & 132 & 130.739 & 136.625 & -5.88619 & 1.26119 \tabularnewline
83 & 150 & 144.239 & 138.917 & 5.32215 & 5.76119 \tabularnewline
84 & 150 & 148.683 & 140.917 & 7.76659 & 1.31674 \tabularnewline
85 & 147 & 146.498 & 142.583 & 3.91474 & 0.501929 \tabularnewline
86 & 130 & 134.456 & 144.167 & -9.71026 & -4.4564 \tabularnewline
87 & 133 & 135.646 & 145.708 & -10.0621 & -2.64622 \tabularnewline
88 & 135 & 138.007 & 147.125 & -9.11767 & -3.00733 \tabularnewline
89 & 148 & 156.359 & 148.917 & 7.44252 & -8.35918 \tabularnewline
90 & 165 & 163.169 & 150.708 & 12.461 & 1.83063 \tabularnewline
91 & 153 & 153.623 & 152.125 & 1.49807 & -0.623071 \tabularnewline
92 & 159 & 151.549 & 153.667 & -2.11767 & 7.451 \tabularnewline
93 & 154 & 154.28 & 155.792 & -1.51119 & -0.280478 \tabularnewline
94 & 151 & 152.447 & 158.333 & -5.88619 & -1.44715 \tabularnewline
95 & 174 & 166.03 & 160.708 & 5.32215 & 7.96952 \tabularnewline
96 & 169 & 170.183 & 162.417 & 7.76659 & -1.18326 \tabularnewline
97 & 162 & 167.831 & 163.917 & 3.91474 & -5.8314 \tabularnewline
98 & 152 & 155.831 & 165.542 & -9.71026 & -3.8314 \tabularnewline
99 & 162 & 157.021 & 167.083 & -10.0621 & 4.97878 \tabularnewline
100 & 167 & 159.549 & 168.667 & -9.11767 & 7.451 \tabularnewline
101 & 173 & 177.859 & 170.417 & 7.44252 & -4.85918 \tabularnewline
102 & 181 & 185.044 & 172.583 & 12.461 & -4.04437 \tabularnewline
103 & 173 & 176.498 & 175 & 1.49807 & -3.49807 \tabularnewline
104 & 178 & 175.049 & 177.167 & -2.11767 & 2.951 \tabularnewline
105 & 172 & 177.739 & 179.25 & -1.51119 & -5.73881 \tabularnewline
106 & 171 & 175.53 & 181.417 & -5.88619 & -4.53048 \tabularnewline
107 & 196 & 188.947 & 183.625 & 5.32215 & 7.05285 \tabularnewline
108 & 199 & 193.683 & 185.917 & 7.76659 & 5.31674 \tabularnewline
109 & 190 & 192.123 & 188.208 & 3.91474 & -2.12307 \tabularnewline
110 & 176 & 180.831 & 190.542 & -9.71026 & -4.8314 \tabularnewline
111 & 188 & 183.021 & 193.083 & -10.0621 & 4.97878 \tabularnewline
112 & 193 & 186.174 & 195.292 & -9.11767 & 6.826 \tabularnewline
113 & 200 & 204.443 & 197 & 7.44252 & -4.44252 \tabularnewline
114 & 209 & 211.003 & 198.542 & 12.461 & -2.0027 \tabularnewline
115 & 200 & NA & NA & 1.49807 & NA \tabularnewline
116 & 207 & NA & NA & -2.11767 & NA \tabularnewline
117 & 204 & NA & NA & -1.51119 & NA \tabularnewline
118 & 192 & NA & NA & -5.88619 & NA \tabularnewline
119 & 216 & NA & NA & 5.32215 & NA \tabularnewline
120 & 216 & NA & NA & 7.76659 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211087&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]57[/C][C]NA[/C][C]NA[/C][C]3.91474[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]56[/C][C]NA[/C][C]NA[/C][C]-9.71026[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]55[/C][C]NA[/C][C]NA[/C][C]-10.0621[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]53[/C][C]NA[/C][C]NA[/C][C]-9.11767[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]73[/C][C]NA[/C][C]NA[/C][C]7.44252[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]72[/C][C]NA[/C][C]NA[/C][C]12.461[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]57[/C][C]56.4981[/C][C]55[/C][C]1.49807[/C][C]0.501929[/C][/ROW]
[ROW][C]8[/C][C]47[/C][C]51.674[/C][C]53.7917[/C][C]-2.11767[/C][C]-4.674[/C][/ROW]
[ROW][C]9[/C][C]48[/C][C]50.6971[/C][C]52.2083[/C][C]-1.51119[/C][C]-2.69715[/C][/ROW]
[ROW][C]10[/C][C]48[/C][C]44.6555[/C][C]50.5417[/C][C]-5.88619[/C][C]3.34452[/C][/ROW]
[ROW][C]11[/C][C]49[/C][C]54.2388[/C][C]48.9167[/C][C]5.32215[/C][C]-5.23881[/C][/ROW]
[ROW][C]12[/C][C]51[/C][C]55.1416[/C][C]47.375[/C][C]7.76659[/C][C]-4.14159[/C][/ROW]
[ROW][C]13[/C][C]45[/C][C]49.8731[/C][C]45.9583[/C][C]3.91474[/C][C]-4.87307[/C][/ROW]
[ROW][C]14[/C][C]39[/C][C]34.4981[/C][C]44.2083[/C][C]-9.71026[/C][C]4.50193[/C][/ROW]
[ROW][C]15[/C][C]34[/C][C]32.3962[/C][C]42.4583[/C][C]-10.0621[/C][C]1.60378[/C][/ROW]
[ROW][C]16[/C][C]34[/C][C]31.924[/C][C]41.0417[/C][C]-9.11767[/C][C]2.076[/C][/ROW]
[ROW][C]17[/C][C]53[/C][C]47.3592[/C][C]39.9167[/C][C]7.44252[/C][C]5.64082[/C][/ROW]
[ROW][C]18[/C][C]55[/C][C]51.6277[/C][C]39.1667[/C][C]12.461[/C][C]3.3723[/C][/ROW]
[ROW][C]19[/C][C]40[/C][C]40.2064[/C][C]38.7083[/C][C]1.49807[/C][C]-0.206404[/C][/ROW]
[ROW][C]20[/C][C]22[/C][C]36.1323[/C][C]38.25[/C][C]-2.11767[/C][C]-14.1323[/C][/ROW]
[ROW][C]21[/C][C]31[/C][C]36.5305[/C][C]38.0417[/C][C]-1.51119[/C][C]-5.53048[/C][/ROW]
[ROW][C]22[/C][C]31[/C][C]32.3221[/C][C]38.2083[/C][C]-5.88619[/C][C]-1.32215[/C][/ROW]
[ROW][C]23[/C][C]39[/C][C]43.5305[/C][C]38.2083[/C][C]5.32215[/C][C]-4.53048[/C][/ROW]
[ROW][C]24[/C][C]43[/C][C]45.6416[/C][C]37.875[/C][C]7.76659[/C][C]-2.64159[/C][/ROW]
[ROW][C]25[/C][C]42[/C][C]41.1231[/C][C]37.2083[/C][C]3.91474[/C][C]0.876929[/C][/ROW]
[ROW][C]26[/C][C]31[/C][C]26.9981[/C][C]36.7083[/C][C]-9.71026[/C][C]4.00193[/C][/ROW]
[ROW][C]27[/C][C]37[/C][C]26.4796[/C][C]36.5417[/C][C]-10.0621[/C][C]10.5204[/C][/ROW]
[ROW][C]28[/C][C]35[/C][C]27.5073[/C][C]36.625[/C][C]-9.11767[/C][C]7.49267[/C][/ROW]
[ROW][C]29[/C][C]52[/C][C]44.1092[/C][C]36.6667[/C][C]7.44252[/C][C]7.89082[/C][/ROW]
[ROW][C]30[/C][C]48[/C][C]48.961[/C][C]36.5[/C][C]12.461[/C][C]-0.961034[/C][/ROW]
[ROW][C]31[/C][C]31[/C][C]37.4981[/C][C]36[/C][C]1.49807[/C][C]-6.49807[/C][/ROW]
[ROW][C]32[/C][C]19[/C][C]33.2157[/C][C]35.3333[/C][C]-2.11767[/C][C]-14.2157[/C][/ROW]
[ROW][C]33[/C][C]30[/C][C]33.1971[/C][C]34.7083[/C][C]-1.51119[/C][C]-3.19715[/C][/ROW]
[ROW][C]34[/C][C]34[/C][C]28.1971[/C][C]34.0833[/C][C]-5.88619[/C][C]5.80285[/C][/ROW]
[ROW][C]35[/C][C]37[/C][C]39.3221[/C][C]34[/C][C]5.32215[/C][C]-2.32215[/C][/ROW]
[ROW][C]36[/C][C]41[/C][C]42.2666[/C][C]34.5[/C][C]7.76659[/C][C]-1.26659[/C][/ROW]
[ROW][C]37[/C][C]32[/C][C]39.1647[/C][C]35.25[/C][C]3.91474[/C][C]-7.16474[/C][/ROW]
[ROW][C]38[/C][C]25[/C][C]26.7897[/C][C]36.5[/C][C]-9.71026[/C][C]-1.78974[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]27.8962[/C][C]37.9583[/C][C]-10.0621[/C][C]0.103781[/C][/ROW]
[ROW][C]40[/C][C]29[/C][C]29.799[/C][C]38.9167[/C][C]-9.11767[/C][C]-0.798997[/C][/ROW]
[ROW][C]41[/C][C]56[/C][C]47.2342[/C][C]39.7917[/C][C]7.44252[/C][C]8.76582[/C][/ROW]
[ROW][C]42[/C][C]56[/C][C]53.586[/C][C]41.125[/C][C]12.461[/C][C]2.41397[/C][/ROW]
[ROW][C]43[/C][C]41[/C][C]44.6647[/C][C]43.1667[/C][C]1.49807[/C][C]-3.66474[/C][/ROW]
[ROW][C]44[/C][C]39[/C][C]43.2573[/C][C]45.375[/C][C]-2.11767[/C][C]-4.25733[/C][/ROW]
[ROW][C]45[/C][C]45[/C][C]45.4888[/C][C]47[/C][C]-1.51119[/C][C]-0.488812[/C][/ROW]
[ROW][C]46[/C][C]42[/C][C]42.2388[/C][C]48.125[/C][C]-5.88619[/C][C]-0.238812[/C][/ROW]
[ROW][C]47[/C][C]50[/C][C]54.3638[/C][C]49.0417[/C][C]5.32215[/C][C]-4.36381[/C][/ROW]
[ROW][C]48[/C][C]60[/C][C]57.8083[/C][C]50.0417[/C][C]7.76659[/C][C]2.19174[/C][/ROW]
[ROW][C]49[/C][C]62[/C][C]55.4564[/C][C]51.5417[/C][C]3.91474[/C][C]6.5436[/C][/ROW]
[ROW][C]50[/C][C]48[/C][C]44.0397[/C][C]53.75[/C][C]-9.71026[/C][C]3.96026[/C][/ROW]
[ROW][C]51[/C][C]44[/C][C]45.8962[/C][C]55.9583[/C][C]-10.0621[/C][C]-1.89622[/C][/ROW]
[ROW][C]52[/C][C]40[/C][C]48.549[/C][C]57.6667[/C][C]-9.11767[/C][C]-8.549[/C][/ROW]
[ROW][C]53[/C][C]67[/C][C]66.6508[/C][C]59.2083[/C][C]7.44252[/C][C]0.349151[/C][/ROW]
[ROW][C]54[/C][C]69[/C][C]73.2527[/C][C]60.7917[/C][C]12.461[/C][C]-4.2527[/C][/ROW]
[ROW][C]55[/C][C]64[/C][C]63.9564[/C][C]62.4583[/C][C]1.49807[/C][C]0.0435957[/C][/ROW]
[ROW][C]56[/C][C]69[/C][C]62.174[/C][C]64.2917[/C][C]-2.11767[/C][C]6.826[/C][/ROW]
[ROW][C]57[/C][C]68[/C][C]64.5305[/C][C]66.0417[/C][C]-1.51119[/C][C]3.46952[/C][/ROW]
[ROW][C]58[/C][C]60[/C][C]62.1555[/C][C]68.0417[/C][C]-5.88619[/C][C]-2.15548[/C][/ROW]
[ROW][C]59[/C][C]69[/C][C]75.7388[/C][C]70.4167[/C][C]5.32215[/C][C]-6.73881[/C][/ROW]
[ROW][C]60[/C][C]79[/C][C]80.7666[/C][C]73[/C][C]7.76659[/C][C]-1.76659[/C][/ROW]
[ROW][C]61[/C][C]83[/C][C]79.8731[/C][C]75.9583[/C][C]3.91474[/C][C]3.12693[/C][/ROW]
[ROW][C]62[/C][C]71[/C][C]69.2897[/C][C]79[/C][C]-9.71026[/C][C]1.71026[/C][/ROW]
[ROW][C]63[/C][C]63[/C][C]71.9379[/C][C]82[/C][C]-10.0621[/C][C]-8.93789[/C][/ROW]
[ROW][C]64[/C][C]69[/C][C]75.799[/C][C]84.9167[/C][C]-9.11767[/C][C]-6.799[/C][/ROW]
[ROW][C]65[/C][C]95[/C][C]95.5258[/C][C]88.0833[/C][C]7.44252[/C][C]-0.525849[/C][/ROW]
[ROW][C]66[/C][C]103[/C][C]103.836[/C][C]91.375[/C][C]12.461[/C][C]-0.836034[/C][/ROW]
[ROW][C]67[/C][C]101[/C][C]96.0397[/C][C]94.5417[/C][C]1.49807[/C][C]4.96026[/C][/ROW]
[ROW][C]68[/C][C]105[/C][C]95.3823[/C][C]97.5[/C][C]-2.11767[/C][C]9.61767[/C][/ROW]
[ROW][C]69[/C][C]104[/C][C]98.6971[/C][C]100.208[/C][C]-1.51119[/C][C]5.30285[/C][/ROW]
[ROW][C]70[/C][C]94[/C][C]97.1555[/C][C]103.042[/C][C]-5.88619[/C][C]-3.15548[/C][/ROW]
[ROW][C]71[/C][C]111[/C][C]111.03[/C][C]105.708[/C][C]5.32215[/C][C]-0.0304784[/C][/ROW]
[ROW][C]72[/C][C]116[/C][C]116.267[/C][C]108.5[/C][C]7.76659[/C][C]-0.26659[/C][/ROW]
[ROW][C]73[/C][C]122[/C][C]115.498[/C][C]111.583[/C][C]3.91474[/C][C]6.50193[/C][/ROW]
[ROW][C]74[/C][C]103[/C][C]104.706[/C][C]114.417[/C][C]-9.71026[/C][C]-1.7064[/C][/ROW]
[ROW][C]75[/C][C]96[/C][C]107.146[/C][C]117.208[/C][C]-10.0621[/C][C]-11.1462[/C][/ROW]
[ROW][C]76[/C][C]104[/C][C]111.132[/C][C]120.25[/C][C]-9.11767[/C][C]-7.13233[/C][/ROW]
[ROW][C]77[/C][C]124[/C][C]130.901[/C][C]123.458[/C][C]7.44252[/C][C]-6.90085[/C][/ROW]
[ROW][C]78[/C][C]141[/C][C]138.961[/C][C]126.5[/C][C]12.461[/C][C]2.03897[/C][/ROW]
[ROW][C]79[/C][C]137[/C][C]130.456[/C][C]128.958[/C][C]1.49807[/C][C]6.5436[/C][/ROW]
[ROW][C]80[/C][C]137[/C][C]129.007[/C][C]131.125[/C][C]-2.11767[/C][C]7.99267[/C][/ROW]
[ROW][C]81[/C][C]139[/C][C]132.28[/C][C]133.792[/C][C]-1.51119[/C][C]6.71952[/C][/ROW]
[ROW][C]82[/C][C]132[/C][C]130.739[/C][C]136.625[/C][C]-5.88619[/C][C]1.26119[/C][/ROW]
[ROW][C]83[/C][C]150[/C][C]144.239[/C][C]138.917[/C][C]5.32215[/C][C]5.76119[/C][/ROW]
[ROW][C]84[/C][C]150[/C][C]148.683[/C][C]140.917[/C][C]7.76659[/C][C]1.31674[/C][/ROW]
[ROW][C]85[/C][C]147[/C][C]146.498[/C][C]142.583[/C][C]3.91474[/C][C]0.501929[/C][/ROW]
[ROW][C]86[/C][C]130[/C][C]134.456[/C][C]144.167[/C][C]-9.71026[/C][C]-4.4564[/C][/ROW]
[ROW][C]87[/C][C]133[/C][C]135.646[/C][C]145.708[/C][C]-10.0621[/C][C]-2.64622[/C][/ROW]
[ROW][C]88[/C][C]135[/C][C]138.007[/C][C]147.125[/C][C]-9.11767[/C][C]-3.00733[/C][/ROW]
[ROW][C]89[/C][C]148[/C][C]156.359[/C][C]148.917[/C][C]7.44252[/C][C]-8.35918[/C][/ROW]
[ROW][C]90[/C][C]165[/C][C]163.169[/C][C]150.708[/C][C]12.461[/C][C]1.83063[/C][/ROW]
[ROW][C]91[/C][C]153[/C][C]153.623[/C][C]152.125[/C][C]1.49807[/C][C]-0.623071[/C][/ROW]
[ROW][C]92[/C][C]159[/C][C]151.549[/C][C]153.667[/C][C]-2.11767[/C][C]7.451[/C][/ROW]
[ROW][C]93[/C][C]154[/C][C]154.28[/C][C]155.792[/C][C]-1.51119[/C][C]-0.280478[/C][/ROW]
[ROW][C]94[/C][C]151[/C][C]152.447[/C][C]158.333[/C][C]-5.88619[/C][C]-1.44715[/C][/ROW]
[ROW][C]95[/C][C]174[/C][C]166.03[/C][C]160.708[/C][C]5.32215[/C][C]7.96952[/C][/ROW]
[ROW][C]96[/C][C]169[/C][C]170.183[/C][C]162.417[/C][C]7.76659[/C][C]-1.18326[/C][/ROW]
[ROW][C]97[/C][C]162[/C][C]167.831[/C][C]163.917[/C][C]3.91474[/C][C]-5.8314[/C][/ROW]
[ROW][C]98[/C][C]152[/C][C]155.831[/C][C]165.542[/C][C]-9.71026[/C][C]-3.8314[/C][/ROW]
[ROW][C]99[/C][C]162[/C][C]157.021[/C][C]167.083[/C][C]-10.0621[/C][C]4.97878[/C][/ROW]
[ROW][C]100[/C][C]167[/C][C]159.549[/C][C]168.667[/C][C]-9.11767[/C][C]7.451[/C][/ROW]
[ROW][C]101[/C][C]173[/C][C]177.859[/C][C]170.417[/C][C]7.44252[/C][C]-4.85918[/C][/ROW]
[ROW][C]102[/C][C]181[/C][C]185.044[/C][C]172.583[/C][C]12.461[/C][C]-4.04437[/C][/ROW]
[ROW][C]103[/C][C]173[/C][C]176.498[/C][C]175[/C][C]1.49807[/C][C]-3.49807[/C][/ROW]
[ROW][C]104[/C][C]178[/C][C]175.049[/C][C]177.167[/C][C]-2.11767[/C][C]2.951[/C][/ROW]
[ROW][C]105[/C][C]172[/C][C]177.739[/C][C]179.25[/C][C]-1.51119[/C][C]-5.73881[/C][/ROW]
[ROW][C]106[/C][C]171[/C][C]175.53[/C][C]181.417[/C][C]-5.88619[/C][C]-4.53048[/C][/ROW]
[ROW][C]107[/C][C]196[/C][C]188.947[/C][C]183.625[/C][C]5.32215[/C][C]7.05285[/C][/ROW]
[ROW][C]108[/C][C]199[/C][C]193.683[/C][C]185.917[/C][C]7.76659[/C][C]5.31674[/C][/ROW]
[ROW][C]109[/C][C]190[/C][C]192.123[/C][C]188.208[/C][C]3.91474[/C][C]-2.12307[/C][/ROW]
[ROW][C]110[/C][C]176[/C][C]180.831[/C][C]190.542[/C][C]-9.71026[/C][C]-4.8314[/C][/ROW]
[ROW][C]111[/C][C]188[/C][C]183.021[/C][C]193.083[/C][C]-10.0621[/C][C]4.97878[/C][/ROW]
[ROW][C]112[/C][C]193[/C][C]186.174[/C][C]195.292[/C][C]-9.11767[/C][C]6.826[/C][/ROW]
[ROW][C]113[/C][C]200[/C][C]204.443[/C][C]197[/C][C]7.44252[/C][C]-4.44252[/C][/ROW]
[ROW][C]114[/C][C]209[/C][C]211.003[/C][C]198.542[/C][C]12.461[/C][C]-2.0027[/C][/ROW]
[ROW][C]115[/C][C]200[/C][C]NA[/C][C]NA[/C][C]1.49807[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]207[/C][C]NA[/C][C]NA[/C][C]-2.11767[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]204[/C][C]NA[/C][C]NA[/C][C]-1.51119[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]192[/C][C]NA[/C][C]NA[/C][C]-5.88619[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]216[/C][C]NA[/C][C]NA[/C][C]5.32215[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]216[/C][C]NA[/C][C]NA[/C][C]7.76659[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211087&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211087&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
157NANA3.91474NA
256NANA-9.71026NA
355NANA-10.0621NA
453NANA-9.11767NA
573NANA7.44252NA
672NANA12.461NA
75756.4981551.498070.501929
84751.67453.7917-2.11767-4.674
94850.697152.2083-1.51119-2.69715
104844.655550.5417-5.886193.34452
114954.238848.91675.32215-5.23881
125155.141647.3757.76659-4.14159
134549.873145.95833.91474-4.87307
143934.498144.2083-9.710264.50193
153432.396242.4583-10.06211.60378
163431.92441.0417-9.117672.076
175347.359239.91677.442525.64082
185551.627739.166712.4613.3723
194040.206438.70831.49807-0.206404
202236.132338.25-2.11767-14.1323
213136.530538.0417-1.51119-5.53048
223132.322138.2083-5.88619-1.32215
233943.530538.20835.32215-4.53048
244345.641637.8757.76659-2.64159
254241.123137.20833.914740.876929
263126.998136.7083-9.710264.00193
273726.479636.5417-10.062110.5204
283527.507336.625-9.117677.49267
295244.109236.66677.442527.89082
304848.96136.512.461-0.961034
313137.4981361.49807-6.49807
321933.215735.3333-2.11767-14.2157
333033.197134.7083-1.51119-3.19715
343428.197134.0833-5.886195.80285
353739.3221345.32215-2.32215
364142.266634.57.76659-1.26659
373239.164735.253.91474-7.16474
382526.789736.5-9.71026-1.78974
392827.896237.9583-10.06210.103781
402929.79938.9167-9.11767-0.798997
415647.234239.79177.442528.76582
425653.58641.12512.4612.41397
434144.664743.16671.49807-3.66474
443943.257345.375-2.11767-4.25733
454545.488847-1.51119-0.488812
464242.238848.125-5.88619-0.238812
475054.363849.04175.32215-4.36381
486057.808350.04177.766592.19174
496255.456451.54173.914746.5436
504844.039753.75-9.710263.96026
514445.896255.9583-10.0621-1.89622
524048.54957.6667-9.11767-8.549
536766.650859.20837.442520.349151
546973.252760.791712.461-4.2527
556463.956462.45831.498070.0435957
566962.17464.2917-2.117676.826
576864.530566.0417-1.511193.46952
586062.155568.0417-5.88619-2.15548
596975.738870.41675.32215-6.73881
607980.7666737.76659-1.76659
618379.873175.95833.914743.12693
627169.289779-9.710261.71026
636371.937982-10.0621-8.93789
646975.79984.9167-9.11767-6.799
659595.525888.08337.44252-0.525849
66103103.83691.37512.461-0.836034
6710196.039794.54171.498074.96026
6810595.382397.5-2.117679.61767
6910498.6971100.208-1.511195.30285
709497.1555103.042-5.88619-3.15548
71111111.03105.7085.32215-0.0304784
72116116.267108.57.76659-0.26659
73122115.498111.5833.914746.50193
74103104.706114.417-9.71026-1.7064
7596107.146117.208-10.0621-11.1462
76104111.132120.25-9.11767-7.13233
77124130.901123.4587.44252-6.90085
78141138.961126.512.4612.03897
79137130.456128.9581.498076.5436
80137129.007131.125-2.117677.99267
81139132.28133.792-1.511196.71952
82132130.739136.625-5.886191.26119
83150144.239138.9175.322155.76119
84150148.683140.9177.766591.31674
85147146.498142.5833.914740.501929
86130134.456144.167-9.71026-4.4564
87133135.646145.708-10.0621-2.64622
88135138.007147.125-9.11767-3.00733
89148156.359148.9177.44252-8.35918
90165163.169150.70812.4611.83063
91153153.623152.1251.49807-0.623071
92159151.549153.667-2.117677.451
93154154.28155.792-1.51119-0.280478
94151152.447158.333-5.88619-1.44715
95174166.03160.7085.322157.96952
96169170.183162.4177.76659-1.18326
97162167.831163.9173.91474-5.8314
98152155.831165.542-9.71026-3.8314
99162157.021167.083-10.06214.97878
100167159.549168.667-9.117677.451
101173177.859170.4177.44252-4.85918
102181185.044172.58312.461-4.04437
103173176.4981751.49807-3.49807
104178175.049177.167-2.117672.951
105172177.739179.25-1.51119-5.73881
106171175.53181.417-5.88619-4.53048
107196188.947183.6255.322157.05285
108199193.683185.9177.766595.31674
109190192.123188.2083.91474-2.12307
110176180.831190.542-9.71026-4.8314
111188183.021193.083-10.06214.97878
112193186.174195.292-9.117676.826
113200204.4431977.44252-4.44252
114209211.003198.54212.461-2.0027
115200NANA1.49807NA
116207NANA-2.11767NA
117204NANA-1.51119NA
118192NANA-5.88619NA
119216NANA5.32215NA
120216NANA7.76659NA



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