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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 02 Apr 2015 17:05:32 +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/Apr/02/t1427990824r2ivnfrhk4m9sru.htm/, Retrieved Thu, 09 May 2024 06:44:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278581, Retrieved Thu, 09 May 2024 06:44:03 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [omzetontwikkeling...] [2015-04-02 16:05:32] [48109ce6b54c2eacc50b3a62a110bb1c] [Current]
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Dataseries X:
93.6
103.5
127
117.5
111.5
137.6
103.2
86.9
124.4
113.6
101.6
148.5
108.3
117.2
128.7
116.5
131.7
139.9
107.4
96.1
126.5
116.4
109.8
148
111.4
117
141.7
120
132.1
146.7
122.5
99.6
122.7
139
117.8
125.5
134.5
121.3
126.7
117.7
123
132.1
113.1
89.2
121.7
105.3
85.3
105.3
72.2
92.1
97.2
78.6
78.1
93
81
65.9
88.6
85.7
76.3
96.8
76.8
85.6
119.2
91.4
95.7
112.3
95.2
82.8
111.3
108.2
97
124.4
99.3
117.6
131.5
114.2
116.8
116.5
105.4
89.2
115.8
111.4
106.4
128.4
107.7
111
129.8
130.5
142.9
159.9
84.1
75
100.7
106.8
97.4
113
76.9
87.3
103.7
92.1
92.9
112.2
88.7
74.6
101.5
119.7
120.7
153.5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278581&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278581&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278581&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'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
193.6NANA-10.4763NA
2103.5NANA-2.58668NA
3127NANA13.7717NA
4117.5NANA-0.828342NA
5111.5NANA5.56541NA
6137.6NANA17.8649NA
7103.2106.014114.688-8.67313-2.81437
886.991.4691115.871-24.4018-4.56905
9124.4120.691116.5124.178953.70855
10113.6117.812116.5421.2701-4.21176
11101.6106.991117.342-10.3507-5.39093
12148.5132.945118.27914.665915.5549
13108.3108.074118.55-10.47630.226259
14117.2116.522119.108-2.586680.678342
15128.7133.351119.57913.7717-4.65082
16116.5118.955119.783-0.828342-2.45499
17131.7125.807120.2425.565415.89293
18139.9138.427120.56217.86491.47261
19107.4111.998120.671-8.67313-4.5977
2096.196.3899120.792-24.4018-0.289887
21126.5125.504121.3254.178950.99605
22116.4123.283122.0121.2701-6.8826
23109.8111.824122.175-10.3507-2.02426
24148137.141122.47514.665910.8591
25111.4112.911123.387-10.4763-1.51124
26117121.576124.162-2.58668-4.57582
27141.7137.922124.1513.77173.77834
28120124.105124.933-0.828342-4.10499
29132.1131.774126.2085.565410.326259
30146.7143.469125.60417.86493.23095
31122.5116.956125.629-8.673135.54397
3299.6102.369126.771-24.4018-2.76905
33122.7130.504126.3254.17895-7.80395
34139126.874125.6041.270112.1257
35117.8114.778125.129-10.35073.02157
36125.5138.808124.14214.6659-13.3076
37134.5112.665123.142-10.476321.8346
38121.3119.73122.317-2.586681.57001
39126.7135.613121.84213.7717-8.91332
40117.7119.567120.396-0.828342-1.86749
41123123.203117.6375.56541-0.202908
42132.1133.307115.44217.8649-1.20655
43113.1103.331112.004-8.673139.76897
4489.283.7899108.192-24.40185.41011
45121.7109.925105.7464.1789511.7752
46105.3104.158102.8871.27011.1424
4785.389.036899.3875-10.3507-3.73676
48105.3110.55395.887514.6659-5.25343
4972.282.444692.9208-10.4763-10.2446
5092.188.025890.6125-2.586684.07418
5197.2102.03488.262513.7717-4.83416
5278.685.238386.0667-0.828342-6.63832
5378.190.440484.8755.56541-12.3404
5493102.01184.145817.8649-9.01072
558175.310283.9833-8.673135.6898
5665.959.502483.9042-24.40186.39761
5788.688.728984.554.17895-0.12895
5885.787.2701861.2701-1.5701
5976.376.915987.2667-10.3507-0.615929
6096.8103.4788.804214.6659-6.6701
6176.879.723790.2-10.4763-2.92374
6285.688.909291.4958-2.58668-3.30916
63119.2106.91793.145813.771712.2825
6491.494.200895.0292-0.828342-2.80082
6595.7102.39596.82925.56541-6.69457
66112.3116.70798.841717.8649-4.40655
6795.292.256100.929-8.673132.94397
6882.878.7982103.2-24.40184.00178
69111.3109.225105.0464.178952.07522
70108.2107.778106.5081.27010.421571
719797.9868108.338-10.3507-0.986762
72124.4124.058109.39214.66590.342405
7399.399.5154109.992-10.4763-0.215408
74117.6108.097110.683-2.586689.50334
75131.5124.909111.13813.77176.59084
76114.2110.63111.458-0.8283423.57001
77116.8117.549111.9835.56541-0.748741
78116.5130.407112.54217.8649-13.9066
79105.4104.385113.058-8.673131.0148
8089.288.7316113.133-24.40180.468446
81115.8116.966112.7884.17895-1.16645
82111.4114.666113.3961.2701-3.26593
83106.4104.812115.162-10.35071.58824
84128.4132.724118.05814.6659-4.32426
85107.7108.503118.979-10.4763-0.802908
86111114.913117.5-2.58668-3.91332
87129.8130.051116.27913.7717-0.250825
88130.5114.63115.458-0.82834215.87
89142.9120.457114.8925.5654122.4429
90159.9131.74113.87517.864928.1601
9184.1103.277111.95-8.67313-19.1769
927585.2774109.679-24.4018-10.2774
93100.7111.783107.6044.17895-11.0831
94106.8106.187104.9171.27010.613238
9597.490.8826101.233-10.35076.5174
96113111.82897.162514.66591.17157
9776.984.890495.3667-10.4763-7.99041
9887.392.95595.5417-2.58668-5.65499
99103.7109.3395.558313.7717-5.62999
10092.195.300896.1292-0.828342-3.20082
10192.9103.20397.63755.56541-10.3029
102112.2118.161100.29617.8649-5.96072
10388.7NANA-8.67313NA
10474.6NANA-24.4018NA
105101.5NANA4.17895NA
106119.7NANA1.2701NA
107120.7NANA-10.3507NA
108153.5NANA14.6659NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 93.6 & NA & NA & -10.4763 & NA \tabularnewline
2 & 103.5 & NA & NA & -2.58668 & NA \tabularnewline
3 & 127 & NA & NA & 13.7717 & NA \tabularnewline
4 & 117.5 & NA & NA & -0.828342 & NA \tabularnewline
5 & 111.5 & NA & NA & 5.56541 & NA \tabularnewline
6 & 137.6 & NA & NA & 17.8649 & NA \tabularnewline
7 & 103.2 & 106.014 & 114.688 & -8.67313 & -2.81437 \tabularnewline
8 & 86.9 & 91.4691 & 115.871 & -24.4018 & -4.56905 \tabularnewline
9 & 124.4 & 120.691 & 116.512 & 4.17895 & 3.70855 \tabularnewline
10 & 113.6 & 117.812 & 116.542 & 1.2701 & -4.21176 \tabularnewline
11 & 101.6 & 106.991 & 117.342 & -10.3507 & -5.39093 \tabularnewline
12 & 148.5 & 132.945 & 118.279 & 14.6659 & 15.5549 \tabularnewline
13 & 108.3 & 108.074 & 118.55 & -10.4763 & 0.226259 \tabularnewline
14 & 117.2 & 116.522 & 119.108 & -2.58668 & 0.678342 \tabularnewline
15 & 128.7 & 133.351 & 119.579 & 13.7717 & -4.65082 \tabularnewline
16 & 116.5 & 118.955 & 119.783 & -0.828342 & -2.45499 \tabularnewline
17 & 131.7 & 125.807 & 120.242 & 5.56541 & 5.89293 \tabularnewline
18 & 139.9 & 138.427 & 120.562 & 17.8649 & 1.47261 \tabularnewline
19 & 107.4 & 111.998 & 120.671 & -8.67313 & -4.5977 \tabularnewline
20 & 96.1 & 96.3899 & 120.792 & -24.4018 & -0.289887 \tabularnewline
21 & 126.5 & 125.504 & 121.325 & 4.17895 & 0.99605 \tabularnewline
22 & 116.4 & 123.283 & 122.012 & 1.2701 & -6.8826 \tabularnewline
23 & 109.8 & 111.824 & 122.175 & -10.3507 & -2.02426 \tabularnewline
24 & 148 & 137.141 & 122.475 & 14.6659 & 10.8591 \tabularnewline
25 & 111.4 & 112.911 & 123.387 & -10.4763 & -1.51124 \tabularnewline
26 & 117 & 121.576 & 124.162 & -2.58668 & -4.57582 \tabularnewline
27 & 141.7 & 137.922 & 124.15 & 13.7717 & 3.77834 \tabularnewline
28 & 120 & 124.105 & 124.933 & -0.828342 & -4.10499 \tabularnewline
29 & 132.1 & 131.774 & 126.208 & 5.56541 & 0.326259 \tabularnewline
30 & 146.7 & 143.469 & 125.604 & 17.8649 & 3.23095 \tabularnewline
31 & 122.5 & 116.956 & 125.629 & -8.67313 & 5.54397 \tabularnewline
32 & 99.6 & 102.369 & 126.771 & -24.4018 & -2.76905 \tabularnewline
33 & 122.7 & 130.504 & 126.325 & 4.17895 & -7.80395 \tabularnewline
34 & 139 & 126.874 & 125.604 & 1.2701 & 12.1257 \tabularnewline
35 & 117.8 & 114.778 & 125.129 & -10.3507 & 3.02157 \tabularnewline
36 & 125.5 & 138.808 & 124.142 & 14.6659 & -13.3076 \tabularnewline
37 & 134.5 & 112.665 & 123.142 & -10.4763 & 21.8346 \tabularnewline
38 & 121.3 & 119.73 & 122.317 & -2.58668 & 1.57001 \tabularnewline
39 & 126.7 & 135.613 & 121.842 & 13.7717 & -8.91332 \tabularnewline
40 & 117.7 & 119.567 & 120.396 & -0.828342 & -1.86749 \tabularnewline
41 & 123 & 123.203 & 117.637 & 5.56541 & -0.202908 \tabularnewline
42 & 132.1 & 133.307 & 115.442 & 17.8649 & -1.20655 \tabularnewline
43 & 113.1 & 103.331 & 112.004 & -8.67313 & 9.76897 \tabularnewline
44 & 89.2 & 83.7899 & 108.192 & -24.4018 & 5.41011 \tabularnewline
45 & 121.7 & 109.925 & 105.746 & 4.17895 & 11.7752 \tabularnewline
46 & 105.3 & 104.158 & 102.887 & 1.2701 & 1.1424 \tabularnewline
47 & 85.3 & 89.0368 & 99.3875 & -10.3507 & -3.73676 \tabularnewline
48 & 105.3 & 110.553 & 95.8875 & 14.6659 & -5.25343 \tabularnewline
49 & 72.2 & 82.4446 & 92.9208 & -10.4763 & -10.2446 \tabularnewline
50 & 92.1 & 88.0258 & 90.6125 & -2.58668 & 4.07418 \tabularnewline
51 & 97.2 & 102.034 & 88.2625 & 13.7717 & -4.83416 \tabularnewline
52 & 78.6 & 85.2383 & 86.0667 & -0.828342 & -6.63832 \tabularnewline
53 & 78.1 & 90.4404 & 84.875 & 5.56541 & -12.3404 \tabularnewline
54 & 93 & 102.011 & 84.1458 & 17.8649 & -9.01072 \tabularnewline
55 & 81 & 75.3102 & 83.9833 & -8.67313 & 5.6898 \tabularnewline
56 & 65.9 & 59.5024 & 83.9042 & -24.4018 & 6.39761 \tabularnewline
57 & 88.6 & 88.7289 & 84.55 & 4.17895 & -0.12895 \tabularnewline
58 & 85.7 & 87.2701 & 86 & 1.2701 & -1.5701 \tabularnewline
59 & 76.3 & 76.9159 & 87.2667 & -10.3507 & -0.615929 \tabularnewline
60 & 96.8 & 103.47 & 88.8042 & 14.6659 & -6.6701 \tabularnewline
61 & 76.8 & 79.7237 & 90.2 & -10.4763 & -2.92374 \tabularnewline
62 & 85.6 & 88.9092 & 91.4958 & -2.58668 & -3.30916 \tabularnewline
63 & 119.2 & 106.917 & 93.1458 & 13.7717 & 12.2825 \tabularnewline
64 & 91.4 & 94.2008 & 95.0292 & -0.828342 & -2.80082 \tabularnewline
65 & 95.7 & 102.395 & 96.8292 & 5.56541 & -6.69457 \tabularnewline
66 & 112.3 & 116.707 & 98.8417 & 17.8649 & -4.40655 \tabularnewline
67 & 95.2 & 92.256 & 100.929 & -8.67313 & 2.94397 \tabularnewline
68 & 82.8 & 78.7982 & 103.2 & -24.4018 & 4.00178 \tabularnewline
69 & 111.3 & 109.225 & 105.046 & 4.17895 & 2.07522 \tabularnewline
70 & 108.2 & 107.778 & 106.508 & 1.2701 & 0.421571 \tabularnewline
71 & 97 & 97.9868 & 108.338 & -10.3507 & -0.986762 \tabularnewline
72 & 124.4 & 124.058 & 109.392 & 14.6659 & 0.342405 \tabularnewline
73 & 99.3 & 99.5154 & 109.992 & -10.4763 & -0.215408 \tabularnewline
74 & 117.6 & 108.097 & 110.683 & -2.58668 & 9.50334 \tabularnewline
75 & 131.5 & 124.909 & 111.138 & 13.7717 & 6.59084 \tabularnewline
76 & 114.2 & 110.63 & 111.458 & -0.828342 & 3.57001 \tabularnewline
77 & 116.8 & 117.549 & 111.983 & 5.56541 & -0.748741 \tabularnewline
78 & 116.5 & 130.407 & 112.542 & 17.8649 & -13.9066 \tabularnewline
79 & 105.4 & 104.385 & 113.058 & -8.67313 & 1.0148 \tabularnewline
80 & 89.2 & 88.7316 & 113.133 & -24.4018 & 0.468446 \tabularnewline
81 & 115.8 & 116.966 & 112.788 & 4.17895 & -1.16645 \tabularnewline
82 & 111.4 & 114.666 & 113.396 & 1.2701 & -3.26593 \tabularnewline
83 & 106.4 & 104.812 & 115.162 & -10.3507 & 1.58824 \tabularnewline
84 & 128.4 & 132.724 & 118.058 & 14.6659 & -4.32426 \tabularnewline
85 & 107.7 & 108.503 & 118.979 & -10.4763 & -0.802908 \tabularnewline
86 & 111 & 114.913 & 117.5 & -2.58668 & -3.91332 \tabularnewline
87 & 129.8 & 130.051 & 116.279 & 13.7717 & -0.250825 \tabularnewline
88 & 130.5 & 114.63 & 115.458 & -0.828342 & 15.87 \tabularnewline
89 & 142.9 & 120.457 & 114.892 & 5.56541 & 22.4429 \tabularnewline
90 & 159.9 & 131.74 & 113.875 & 17.8649 & 28.1601 \tabularnewline
91 & 84.1 & 103.277 & 111.95 & -8.67313 & -19.1769 \tabularnewline
92 & 75 & 85.2774 & 109.679 & -24.4018 & -10.2774 \tabularnewline
93 & 100.7 & 111.783 & 107.604 & 4.17895 & -11.0831 \tabularnewline
94 & 106.8 & 106.187 & 104.917 & 1.2701 & 0.613238 \tabularnewline
95 & 97.4 & 90.8826 & 101.233 & -10.3507 & 6.5174 \tabularnewline
96 & 113 & 111.828 & 97.1625 & 14.6659 & 1.17157 \tabularnewline
97 & 76.9 & 84.8904 & 95.3667 & -10.4763 & -7.99041 \tabularnewline
98 & 87.3 & 92.955 & 95.5417 & -2.58668 & -5.65499 \tabularnewline
99 & 103.7 & 109.33 & 95.5583 & 13.7717 & -5.62999 \tabularnewline
100 & 92.1 & 95.3008 & 96.1292 & -0.828342 & -3.20082 \tabularnewline
101 & 92.9 & 103.203 & 97.6375 & 5.56541 & -10.3029 \tabularnewline
102 & 112.2 & 118.161 & 100.296 & 17.8649 & -5.96072 \tabularnewline
103 & 88.7 & NA & NA & -8.67313 & NA \tabularnewline
104 & 74.6 & NA & NA & -24.4018 & NA \tabularnewline
105 & 101.5 & NA & NA & 4.17895 & NA \tabularnewline
106 & 119.7 & NA & NA & 1.2701 & NA \tabularnewline
107 & 120.7 & NA & NA & -10.3507 & NA \tabularnewline
108 & 153.5 & NA & NA & 14.6659 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278581&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]93.6[/C][C]NA[/C][C]NA[/C][C]-10.4763[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]103.5[/C][C]NA[/C][C]NA[/C][C]-2.58668[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]127[/C][C]NA[/C][C]NA[/C][C]13.7717[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]117.5[/C][C]NA[/C][C]NA[/C][C]-0.828342[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]111.5[/C][C]NA[/C][C]NA[/C][C]5.56541[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]137.6[/C][C]NA[/C][C]NA[/C][C]17.8649[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]103.2[/C][C]106.014[/C][C]114.688[/C][C]-8.67313[/C][C]-2.81437[/C][/ROW]
[ROW][C]8[/C][C]86.9[/C][C]91.4691[/C][C]115.871[/C][C]-24.4018[/C][C]-4.56905[/C][/ROW]
[ROW][C]9[/C][C]124.4[/C][C]120.691[/C][C]116.512[/C][C]4.17895[/C][C]3.70855[/C][/ROW]
[ROW][C]10[/C][C]113.6[/C][C]117.812[/C][C]116.542[/C][C]1.2701[/C][C]-4.21176[/C][/ROW]
[ROW][C]11[/C][C]101.6[/C][C]106.991[/C][C]117.342[/C][C]-10.3507[/C][C]-5.39093[/C][/ROW]
[ROW][C]12[/C][C]148.5[/C][C]132.945[/C][C]118.279[/C][C]14.6659[/C][C]15.5549[/C][/ROW]
[ROW][C]13[/C][C]108.3[/C][C]108.074[/C][C]118.55[/C][C]-10.4763[/C][C]0.226259[/C][/ROW]
[ROW][C]14[/C][C]117.2[/C][C]116.522[/C][C]119.108[/C][C]-2.58668[/C][C]0.678342[/C][/ROW]
[ROW][C]15[/C][C]128.7[/C][C]133.351[/C][C]119.579[/C][C]13.7717[/C][C]-4.65082[/C][/ROW]
[ROW][C]16[/C][C]116.5[/C][C]118.955[/C][C]119.783[/C][C]-0.828342[/C][C]-2.45499[/C][/ROW]
[ROW][C]17[/C][C]131.7[/C][C]125.807[/C][C]120.242[/C][C]5.56541[/C][C]5.89293[/C][/ROW]
[ROW][C]18[/C][C]139.9[/C][C]138.427[/C][C]120.562[/C][C]17.8649[/C][C]1.47261[/C][/ROW]
[ROW][C]19[/C][C]107.4[/C][C]111.998[/C][C]120.671[/C][C]-8.67313[/C][C]-4.5977[/C][/ROW]
[ROW][C]20[/C][C]96.1[/C][C]96.3899[/C][C]120.792[/C][C]-24.4018[/C][C]-0.289887[/C][/ROW]
[ROW][C]21[/C][C]126.5[/C][C]125.504[/C][C]121.325[/C][C]4.17895[/C][C]0.99605[/C][/ROW]
[ROW][C]22[/C][C]116.4[/C][C]123.283[/C][C]122.012[/C][C]1.2701[/C][C]-6.8826[/C][/ROW]
[ROW][C]23[/C][C]109.8[/C][C]111.824[/C][C]122.175[/C][C]-10.3507[/C][C]-2.02426[/C][/ROW]
[ROW][C]24[/C][C]148[/C][C]137.141[/C][C]122.475[/C][C]14.6659[/C][C]10.8591[/C][/ROW]
[ROW][C]25[/C][C]111.4[/C][C]112.911[/C][C]123.387[/C][C]-10.4763[/C][C]-1.51124[/C][/ROW]
[ROW][C]26[/C][C]117[/C][C]121.576[/C][C]124.162[/C][C]-2.58668[/C][C]-4.57582[/C][/ROW]
[ROW][C]27[/C][C]141.7[/C][C]137.922[/C][C]124.15[/C][C]13.7717[/C][C]3.77834[/C][/ROW]
[ROW][C]28[/C][C]120[/C][C]124.105[/C][C]124.933[/C][C]-0.828342[/C][C]-4.10499[/C][/ROW]
[ROW][C]29[/C][C]132.1[/C][C]131.774[/C][C]126.208[/C][C]5.56541[/C][C]0.326259[/C][/ROW]
[ROW][C]30[/C][C]146.7[/C][C]143.469[/C][C]125.604[/C][C]17.8649[/C][C]3.23095[/C][/ROW]
[ROW][C]31[/C][C]122.5[/C][C]116.956[/C][C]125.629[/C][C]-8.67313[/C][C]5.54397[/C][/ROW]
[ROW][C]32[/C][C]99.6[/C][C]102.369[/C][C]126.771[/C][C]-24.4018[/C][C]-2.76905[/C][/ROW]
[ROW][C]33[/C][C]122.7[/C][C]130.504[/C][C]126.325[/C][C]4.17895[/C][C]-7.80395[/C][/ROW]
[ROW][C]34[/C][C]139[/C][C]126.874[/C][C]125.604[/C][C]1.2701[/C][C]12.1257[/C][/ROW]
[ROW][C]35[/C][C]117.8[/C][C]114.778[/C][C]125.129[/C][C]-10.3507[/C][C]3.02157[/C][/ROW]
[ROW][C]36[/C][C]125.5[/C][C]138.808[/C][C]124.142[/C][C]14.6659[/C][C]-13.3076[/C][/ROW]
[ROW][C]37[/C][C]134.5[/C][C]112.665[/C][C]123.142[/C][C]-10.4763[/C][C]21.8346[/C][/ROW]
[ROW][C]38[/C][C]121.3[/C][C]119.73[/C][C]122.317[/C][C]-2.58668[/C][C]1.57001[/C][/ROW]
[ROW][C]39[/C][C]126.7[/C][C]135.613[/C][C]121.842[/C][C]13.7717[/C][C]-8.91332[/C][/ROW]
[ROW][C]40[/C][C]117.7[/C][C]119.567[/C][C]120.396[/C][C]-0.828342[/C][C]-1.86749[/C][/ROW]
[ROW][C]41[/C][C]123[/C][C]123.203[/C][C]117.637[/C][C]5.56541[/C][C]-0.202908[/C][/ROW]
[ROW][C]42[/C][C]132.1[/C][C]133.307[/C][C]115.442[/C][C]17.8649[/C][C]-1.20655[/C][/ROW]
[ROW][C]43[/C][C]113.1[/C][C]103.331[/C][C]112.004[/C][C]-8.67313[/C][C]9.76897[/C][/ROW]
[ROW][C]44[/C][C]89.2[/C][C]83.7899[/C][C]108.192[/C][C]-24.4018[/C][C]5.41011[/C][/ROW]
[ROW][C]45[/C][C]121.7[/C][C]109.925[/C][C]105.746[/C][C]4.17895[/C][C]11.7752[/C][/ROW]
[ROW][C]46[/C][C]105.3[/C][C]104.158[/C][C]102.887[/C][C]1.2701[/C][C]1.1424[/C][/ROW]
[ROW][C]47[/C][C]85.3[/C][C]89.0368[/C][C]99.3875[/C][C]-10.3507[/C][C]-3.73676[/C][/ROW]
[ROW][C]48[/C][C]105.3[/C][C]110.553[/C][C]95.8875[/C][C]14.6659[/C][C]-5.25343[/C][/ROW]
[ROW][C]49[/C][C]72.2[/C][C]82.4446[/C][C]92.9208[/C][C]-10.4763[/C][C]-10.2446[/C][/ROW]
[ROW][C]50[/C][C]92.1[/C][C]88.0258[/C][C]90.6125[/C][C]-2.58668[/C][C]4.07418[/C][/ROW]
[ROW][C]51[/C][C]97.2[/C][C]102.034[/C][C]88.2625[/C][C]13.7717[/C][C]-4.83416[/C][/ROW]
[ROW][C]52[/C][C]78.6[/C][C]85.2383[/C][C]86.0667[/C][C]-0.828342[/C][C]-6.63832[/C][/ROW]
[ROW][C]53[/C][C]78.1[/C][C]90.4404[/C][C]84.875[/C][C]5.56541[/C][C]-12.3404[/C][/ROW]
[ROW][C]54[/C][C]93[/C][C]102.011[/C][C]84.1458[/C][C]17.8649[/C][C]-9.01072[/C][/ROW]
[ROW][C]55[/C][C]81[/C][C]75.3102[/C][C]83.9833[/C][C]-8.67313[/C][C]5.6898[/C][/ROW]
[ROW][C]56[/C][C]65.9[/C][C]59.5024[/C][C]83.9042[/C][C]-24.4018[/C][C]6.39761[/C][/ROW]
[ROW][C]57[/C][C]88.6[/C][C]88.7289[/C][C]84.55[/C][C]4.17895[/C][C]-0.12895[/C][/ROW]
[ROW][C]58[/C][C]85.7[/C][C]87.2701[/C][C]86[/C][C]1.2701[/C][C]-1.5701[/C][/ROW]
[ROW][C]59[/C][C]76.3[/C][C]76.9159[/C][C]87.2667[/C][C]-10.3507[/C][C]-0.615929[/C][/ROW]
[ROW][C]60[/C][C]96.8[/C][C]103.47[/C][C]88.8042[/C][C]14.6659[/C][C]-6.6701[/C][/ROW]
[ROW][C]61[/C][C]76.8[/C][C]79.7237[/C][C]90.2[/C][C]-10.4763[/C][C]-2.92374[/C][/ROW]
[ROW][C]62[/C][C]85.6[/C][C]88.9092[/C][C]91.4958[/C][C]-2.58668[/C][C]-3.30916[/C][/ROW]
[ROW][C]63[/C][C]119.2[/C][C]106.917[/C][C]93.1458[/C][C]13.7717[/C][C]12.2825[/C][/ROW]
[ROW][C]64[/C][C]91.4[/C][C]94.2008[/C][C]95.0292[/C][C]-0.828342[/C][C]-2.80082[/C][/ROW]
[ROW][C]65[/C][C]95.7[/C][C]102.395[/C][C]96.8292[/C][C]5.56541[/C][C]-6.69457[/C][/ROW]
[ROW][C]66[/C][C]112.3[/C][C]116.707[/C][C]98.8417[/C][C]17.8649[/C][C]-4.40655[/C][/ROW]
[ROW][C]67[/C][C]95.2[/C][C]92.256[/C][C]100.929[/C][C]-8.67313[/C][C]2.94397[/C][/ROW]
[ROW][C]68[/C][C]82.8[/C][C]78.7982[/C][C]103.2[/C][C]-24.4018[/C][C]4.00178[/C][/ROW]
[ROW][C]69[/C][C]111.3[/C][C]109.225[/C][C]105.046[/C][C]4.17895[/C][C]2.07522[/C][/ROW]
[ROW][C]70[/C][C]108.2[/C][C]107.778[/C][C]106.508[/C][C]1.2701[/C][C]0.421571[/C][/ROW]
[ROW][C]71[/C][C]97[/C][C]97.9868[/C][C]108.338[/C][C]-10.3507[/C][C]-0.986762[/C][/ROW]
[ROW][C]72[/C][C]124.4[/C][C]124.058[/C][C]109.392[/C][C]14.6659[/C][C]0.342405[/C][/ROW]
[ROW][C]73[/C][C]99.3[/C][C]99.5154[/C][C]109.992[/C][C]-10.4763[/C][C]-0.215408[/C][/ROW]
[ROW][C]74[/C][C]117.6[/C][C]108.097[/C][C]110.683[/C][C]-2.58668[/C][C]9.50334[/C][/ROW]
[ROW][C]75[/C][C]131.5[/C][C]124.909[/C][C]111.138[/C][C]13.7717[/C][C]6.59084[/C][/ROW]
[ROW][C]76[/C][C]114.2[/C][C]110.63[/C][C]111.458[/C][C]-0.828342[/C][C]3.57001[/C][/ROW]
[ROW][C]77[/C][C]116.8[/C][C]117.549[/C][C]111.983[/C][C]5.56541[/C][C]-0.748741[/C][/ROW]
[ROW][C]78[/C][C]116.5[/C][C]130.407[/C][C]112.542[/C][C]17.8649[/C][C]-13.9066[/C][/ROW]
[ROW][C]79[/C][C]105.4[/C][C]104.385[/C][C]113.058[/C][C]-8.67313[/C][C]1.0148[/C][/ROW]
[ROW][C]80[/C][C]89.2[/C][C]88.7316[/C][C]113.133[/C][C]-24.4018[/C][C]0.468446[/C][/ROW]
[ROW][C]81[/C][C]115.8[/C][C]116.966[/C][C]112.788[/C][C]4.17895[/C][C]-1.16645[/C][/ROW]
[ROW][C]82[/C][C]111.4[/C][C]114.666[/C][C]113.396[/C][C]1.2701[/C][C]-3.26593[/C][/ROW]
[ROW][C]83[/C][C]106.4[/C][C]104.812[/C][C]115.162[/C][C]-10.3507[/C][C]1.58824[/C][/ROW]
[ROW][C]84[/C][C]128.4[/C][C]132.724[/C][C]118.058[/C][C]14.6659[/C][C]-4.32426[/C][/ROW]
[ROW][C]85[/C][C]107.7[/C][C]108.503[/C][C]118.979[/C][C]-10.4763[/C][C]-0.802908[/C][/ROW]
[ROW][C]86[/C][C]111[/C][C]114.913[/C][C]117.5[/C][C]-2.58668[/C][C]-3.91332[/C][/ROW]
[ROW][C]87[/C][C]129.8[/C][C]130.051[/C][C]116.279[/C][C]13.7717[/C][C]-0.250825[/C][/ROW]
[ROW][C]88[/C][C]130.5[/C][C]114.63[/C][C]115.458[/C][C]-0.828342[/C][C]15.87[/C][/ROW]
[ROW][C]89[/C][C]142.9[/C][C]120.457[/C][C]114.892[/C][C]5.56541[/C][C]22.4429[/C][/ROW]
[ROW][C]90[/C][C]159.9[/C][C]131.74[/C][C]113.875[/C][C]17.8649[/C][C]28.1601[/C][/ROW]
[ROW][C]91[/C][C]84.1[/C][C]103.277[/C][C]111.95[/C][C]-8.67313[/C][C]-19.1769[/C][/ROW]
[ROW][C]92[/C][C]75[/C][C]85.2774[/C][C]109.679[/C][C]-24.4018[/C][C]-10.2774[/C][/ROW]
[ROW][C]93[/C][C]100.7[/C][C]111.783[/C][C]107.604[/C][C]4.17895[/C][C]-11.0831[/C][/ROW]
[ROW][C]94[/C][C]106.8[/C][C]106.187[/C][C]104.917[/C][C]1.2701[/C][C]0.613238[/C][/ROW]
[ROW][C]95[/C][C]97.4[/C][C]90.8826[/C][C]101.233[/C][C]-10.3507[/C][C]6.5174[/C][/ROW]
[ROW][C]96[/C][C]113[/C][C]111.828[/C][C]97.1625[/C][C]14.6659[/C][C]1.17157[/C][/ROW]
[ROW][C]97[/C][C]76.9[/C][C]84.8904[/C][C]95.3667[/C][C]-10.4763[/C][C]-7.99041[/C][/ROW]
[ROW][C]98[/C][C]87.3[/C][C]92.955[/C][C]95.5417[/C][C]-2.58668[/C][C]-5.65499[/C][/ROW]
[ROW][C]99[/C][C]103.7[/C][C]109.33[/C][C]95.5583[/C][C]13.7717[/C][C]-5.62999[/C][/ROW]
[ROW][C]100[/C][C]92.1[/C][C]95.3008[/C][C]96.1292[/C][C]-0.828342[/C][C]-3.20082[/C][/ROW]
[ROW][C]101[/C][C]92.9[/C][C]103.203[/C][C]97.6375[/C][C]5.56541[/C][C]-10.3029[/C][/ROW]
[ROW][C]102[/C][C]112.2[/C][C]118.161[/C][C]100.296[/C][C]17.8649[/C][C]-5.96072[/C][/ROW]
[ROW][C]103[/C][C]88.7[/C][C]NA[/C][C]NA[/C][C]-8.67313[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]74.6[/C][C]NA[/C][C]NA[/C][C]-24.4018[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.5[/C][C]NA[/C][C]NA[/C][C]4.17895[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]119.7[/C][C]NA[/C][C]NA[/C][C]1.2701[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]120.7[/C][C]NA[/C][C]NA[/C][C]-10.3507[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]153.5[/C][C]NA[/C][C]NA[/C][C]14.6659[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278581&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278581&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
193.6NANA-10.4763NA
2103.5NANA-2.58668NA
3127NANA13.7717NA
4117.5NANA-0.828342NA
5111.5NANA5.56541NA
6137.6NANA17.8649NA
7103.2106.014114.688-8.67313-2.81437
886.991.4691115.871-24.4018-4.56905
9124.4120.691116.5124.178953.70855
10113.6117.812116.5421.2701-4.21176
11101.6106.991117.342-10.3507-5.39093
12148.5132.945118.27914.665915.5549
13108.3108.074118.55-10.47630.226259
14117.2116.522119.108-2.586680.678342
15128.7133.351119.57913.7717-4.65082
16116.5118.955119.783-0.828342-2.45499
17131.7125.807120.2425.565415.89293
18139.9138.427120.56217.86491.47261
19107.4111.998120.671-8.67313-4.5977
2096.196.3899120.792-24.4018-0.289887
21126.5125.504121.3254.178950.99605
22116.4123.283122.0121.2701-6.8826
23109.8111.824122.175-10.3507-2.02426
24148137.141122.47514.665910.8591
25111.4112.911123.387-10.4763-1.51124
26117121.576124.162-2.58668-4.57582
27141.7137.922124.1513.77173.77834
28120124.105124.933-0.828342-4.10499
29132.1131.774126.2085.565410.326259
30146.7143.469125.60417.86493.23095
31122.5116.956125.629-8.673135.54397
3299.6102.369126.771-24.4018-2.76905
33122.7130.504126.3254.17895-7.80395
34139126.874125.6041.270112.1257
35117.8114.778125.129-10.35073.02157
36125.5138.808124.14214.6659-13.3076
37134.5112.665123.142-10.476321.8346
38121.3119.73122.317-2.586681.57001
39126.7135.613121.84213.7717-8.91332
40117.7119.567120.396-0.828342-1.86749
41123123.203117.6375.56541-0.202908
42132.1133.307115.44217.8649-1.20655
43113.1103.331112.004-8.673139.76897
4489.283.7899108.192-24.40185.41011
45121.7109.925105.7464.1789511.7752
46105.3104.158102.8871.27011.1424
4785.389.036899.3875-10.3507-3.73676
48105.3110.55395.887514.6659-5.25343
4972.282.444692.9208-10.4763-10.2446
5092.188.025890.6125-2.586684.07418
5197.2102.03488.262513.7717-4.83416
5278.685.238386.0667-0.828342-6.63832
5378.190.440484.8755.56541-12.3404
5493102.01184.145817.8649-9.01072
558175.310283.9833-8.673135.6898
5665.959.502483.9042-24.40186.39761
5788.688.728984.554.17895-0.12895
5885.787.2701861.2701-1.5701
5976.376.915987.2667-10.3507-0.615929
6096.8103.4788.804214.6659-6.6701
6176.879.723790.2-10.4763-2.92374
6285.688.909291.4958-2.58668-3.30916
63119.2106.91793.145813.771712.2825
6491.494.200895.0292-0.828342-2.80082
6595.7102.39596.82925.56541-6.69457
66112.3116.70798.841717.8649-4.40655
6795.292.256100.929-8.673132.94397
6882.878.7982103.2-24.40184.00178
69111.3109.225105.0464.178952.07522
70108.2107.778106.5081.27010.421571
719797.9868108.338-10.3507-0.986762
72124.4124.058109.39214.66590.342405
7399.399.5154109.992-10.4763-0.215408
74117.6108.097110.683-2.586689.50334
75131.5124.909111.13813.77176.59084
76114.2110.63111.458-0.8283423.57001
77116.8117.549111.9835.56541-0.748741
78116.5130.407112.54217.8649-13.9066
79105.4104.385113.058-8.673131.0148
8089.288.7316113.133-24.40180.468446
81115.8116.966112.7884.17895-1.16645
82111.4114.666113.3961.2701-3.26593
83106.4104.812115.162-10.35071.58824
84128.4132.724118.05814.6659-4.32426
85107.7108.503118.979-10.4763-0.802908
86111114.913117.5-2.58668-3.91332
87129.8130.051116.27913.7717-0.250825
88130.5114.63115.458-0.82834215.87
89142.9120.457114.8925.5654122.4429
90159.9131.74113.87517.864928.1601
9184.1103.277111.95-8.67313-19.1769
927585.2774109.679-24.4018-10.2774
93100.7111.783107.6044.17895-11.0831
94106.8106.187104.9171.27010.613238
9597.490.8826101.233-10.35076.5174
96113111.82897.162514.66591.17157
9776.984.890495.3667-10.4763-7.99041
9887.392.95595.5417-2.58668-5.65499
99103.7109.3395.558313.7717-5.62999
10092.195.300896.1292-0.828342-3.20082
10192.9103.20397.63755.56541-10.3029
102112.2118.161100.29617.8649-5.96072
10388.7NANA-8.67313NA
10474.6NANA-24.4018NA
105101.5NANA4.17895NA
106119.7NANA1.2701NA
107120.7NANA-10.3507NA
108153.5NANA14.6659NA



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')