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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 15 May 2014 08:10:04 -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/2014/May/15/t1400155818lriedsns91wtu8p.htm/, Retrieved Mon, 13 May 2024 21:39:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234877, Retrieved Mon, 13 May 2024 21:39:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-05-15 12:10:04] [bc172ccc2f9d668294f33daae64cfa82] [Current]
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Dataseries X:
85
82
92.4
100.3
105.2
104.5
105.1
105
106.5
106
99.4
107.4
89.6
85.3
96.3
107.7
112.7
110.1
110.4
111.6
113.3
109
106.5
113
95.6
93.8
106.4
116.6
119.1
120.9
117.3
117.6
115.3
112.3
107.7
113.4
94.3
97.8
106.6
113
122.4
114.6
115
118.7
110.4
111.6
105.1
107.5
92.9
91
100.2
112.2
116.5
111.2
113.3
112.2
102.2
105.3
96
101.3
86.2
84.4
93.4
104.8
106.2
101.9
105.5
106.4
103.9
108.6
96.4
102.2
90.3
88.5
100.2
111.6
111.5
112.9
110.7
105.5
110.7
108.9
101.3
109.6
94.4
91.4
105.8
112.9
116.1
113.7
112.9
110.7
114.3
109.7
105.7
114




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234877&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234877&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234877&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
185NANA-14.1538NA
282NANA-15.8198NA
392.4NANA-4.94306NA
4100.3NANA4.97421NA
5105.2NANA8.58611NA
6104.5NANA5.76647NA
7105.1105.844100.0925.75218-0.743849
8105106.018100.4215.59742-1.01825
9106.5104.083100.7213.361712.41746
10106104.313101.1923.121231.6871
1199.497.751101.812-4.061511.64901
12107.4104.177102.3581.818853.22282
1389.688.6587102.812-14.15380.94127
1485.387.4885103.308-15.8198-2.18849
1596.398.9236103.867-4.94306-2.62361
16107.7109.249104.2754.97421-1.54921
17112.7113.282104.6968.58611-0.581944
18110.1110.991105.2255.76647-0.891468
19110.4111.461105.7085.75218-1.06052
20111.6111.91106.3125.59742-0.309921
21113.3110.449107.0873.361712.85079
22109111107.8793.12123-2.0004
23106.5104.455108.517-4.061512.04484
24113111.052109.2331.818851.94782
2595.695.8171109.971-14.1538-0.217063
2693.894.6885110.508-15.8198-0.888492
27106.4105.899110.842-4.943060.501389
28116.6116.037111.0624.974210.563294
29119.1119.836111.258.58611-0.736111
30120.9117.083111.3175.766473.81687
31117.3117.031111.2795.752180.268651
32117.6116.989111.3925.597420.610913
33115.3114.928111.5673.361710.371627
34112.3114.546111.4253.12123-2.24623
35107.7107.351111.413-4.061510.349008
36113.4113.106111.2881.818850.293651
3794.396.7754110.929-14.1538-2.4754
3897.895.0593110.879-15.81982.74067
39106.6105.778110.721-4.943060.822222
40113115.462110.4884.97421-2.46171
41122.4118.936110.358.586113.46389
42114.6115.762109.9965.76647-1.1623
43115115.444109.6925.75218-0.443849
44118.7114.947109.355.597423.75258
45110.4112.162108.83.36171-1.76171
46111.6111.621108.53.12123-0.0212302
47105.1104.159108.221-4.061510.940675
48107.5109.652107.8331.81885-2.15218
4992.993.4671107.621-14.1538-0.567063
509191.4593107.279-15.8198-0.459325
51100.2101.724106.667-4.94306-1.52361
52112.2111.037106.0624.974211.16329
53116.5114.007105.4218.586112.49306
54111.2110.55104.7835.766470.650198
55113.3109.998104.2465.752183.30198
56112.2109.289103.6925.597422.91091
57102.2106.495103.1333.36171-4.29504
58105.3105.663102.5423.12123-0.362897
599697.7427101.804-4.06151-1.74266
60101.3102.806100.9881.81885-1.50635
6186.286.1212100.275-14.15380.0787698
6284.483.888599.7083-15.81980.511508
6393.494.594499.5375-4.94306-1.19444
64104.8104.7299.74584.974210.0799603
65106.2108.48699.98.58611-2.28611
66101.9105.72199.95425.76647-3.82063
67105.5105.915100.1625.75218-0.414683
68106.4106.102100.5045.597420.298413
69103.9104.32100.9583.36171-0.42004
70108.6104.646101.5253.121233.95377
7196.497.9677102.029-4.06151-1.56766
72102.2104.527102.7081.81885-2.32718
7390.389.2296103.383-14.15381.07044
7488.587.7427103.562-15.81980.757341
75100.298.8653103.808-4.943061.33472
76111.6109.078104.1044.974212.52163
77111.5112.907104.3218.58611-1.40694
78112.9110.6104.8335.766472.3002
79110.7111.065105.3125.75218-0.364683
80105.5111.202105.6045.59742-5.70159
81110.7109.32105.9583.361711.37996
82108.9109.367106.2463.12123-0.467063
83101.3102.43106.492-4.06151-1.13016
84109.6108.536106.7171.818851.06448
8594.492.6879106.842-14.15381.7121
8691.491.3302107.15-15.81980.0698413
87105.8102.574107.517-4.943063.22639
88112.9112.674107.74.974210.225794
89116.1116.503107.9178.58611-0.402778
90113.7114.05108.2835.76647-0.349802
91112.9NANA5.75218NA
92110.7NANA5.59742NA
93114.3NANA3.36171NA
94109.7NANA3.12123NA
95105.7NANA-4.06151NA
96114NANA1.81885NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 85 & NA & NA & -14.1538 & NA \tabularnewline
2 & 82 & NA & NA & -15.8198 & NA \tabularnewline
3 & 92.4 & NA & NA & -4.94306 & NA \tabularnewline
4 & 100.3 & NA & NA & 4.97421 & NA \tabularnewline
5 & 105.2 & NA & NA & 8.58611 & NA \tabularnewline
6 & 104.5 & NA & NA & 5.76647 & NA \tabularnewline
7 & 105.1 & 105.844 & 100.092 & 5.75218 & -0.743849 \tabularnewline
8 & 105 & 106.018 & 100.421 & 5.59742 & -1.01825 \tabularnewline
9 & 106.5 & 104.083 & 100.721 & 3.36171 & 2.41746 \tabularnewline
10 & 106 & 104.313 & 101.192 & 3.12123 & 1.6871 \tabularnewline
11 & 99.4 & 97.751 & 101.812 & -4.06151 & 1.64901 \tabularnewline
12 & 107.4 & 104.177 & 102.358 & 1.81885 & 3.22282 \tabularnewline
13 & 89.6 & 88.6587 & 102.812 & -14.1538 & 0.94127 \tabularnewline
14 & 85.3 & 87.4885 & 103.308 & -15.8198 & -2.18849 \tabularnewline
15 & 96.3 & 98.9236 & 103.867 & -4.94306 & -2.62361 \tabularnewline
16 & 107.7 & 109.249 & 104.275 & 4.97421 & -1.54921 \tabularnewline
17 & 112.7 & 113.282 & 104.696 & 8.58611 & -0.581944 \tabularnewline
18 & 110.1 & 110.991 & 105.225 & 5.76647 & -0.891468 \tabularnewline
19 & 110.4 & 111.461 & 105.708 & 5.75218 & -1.06052 \tabularnewline
20 & 111.6 & 111.91 & 106.312 & 5.59742 & -0.309921 \tabularnewline
21 & 113.3 & 110.449 & 107.087 & 3.36171 & 2.85079 \tabularnewline
22 & 109 & 111 & 107.879 & 3.12123 & -2.0004 \tabularnewline
23 & 106.5 & 104.455 & 108.517 & -4.06151 & 2.04484 \tabularnewline
24 & 113 & 111.052 & 109.233 & 1.81885 & 1.94782 \tabularnewline
25 & 95.6 & 95.8171 & 109.971 & -14.1538 & -0.217063 \tabularnewline
26 & 93.8 & 94.6885 & 110.508 & -15.8198 & -0.888492 \tabularnewline
27 & 106.4 & 105.899 & 110.842 & -4.94306 & 0.501389 \tabularnewline
28 & 116.6 & 116.037 & 111.062 & 4.97421 & 0.563294 \tabularnewline
29 & 119.1 & 119.836 & 111.25 & 8.58611 & -0.736111 \tabularnewline
30 & 120.9 & 117.083 & 111.317 & 5.76647 & 3.81687 \tabularnewline
31 & 117.3 & 117.031 & 111.279 & 5.75218 & 0.268651 \tabularnewline
32 & 117.6 & 116.989 & 111.392 & 5.59742 & 0.610913 \tabularnewline
33 & 115.3 & 114.928 & 111.567 & 3.36171 & 0.371627 \tabularnewline
34 & 112.3 & 114.546 & 111.425 & 3.12123 & -2.24623 \tabularnewline
35 & 107.7 & 107.351 & 111.413 & -4.06151 & 0.349008 \tabularnewline
36 & 113.4 & 113.106 & 111.288 & 1.81885 & 0.293651 \tabularnewline
37 & 94.3 & 96.7754 & 110.929 & -14.1538 & -2.4754 \tabularnewline
38 & 97.8 & 95.0593 & 110.879 & -15.8198 & 2.74067 \tabularnewline
39 & 106.6 & 105.778 & 110.721 & -4.94306 & 0.822222 \tabularnewline
40 & 113 & 115.462 & 110.488 & 4.97421 & -2.46171 \tabularnewline
41 & 122.4 & 118.936 & 110.35 & 8.58611 & 3.46389 \tabularnewline
42 & 114.6 & 115.762 & 109.996 & 5.76647 & -1.1623 \tabularnewline
43 & 115 & 115.444 & 109.692 & 5.75218 & -0.443849 \tabularnewline
44 & 118.7 & 114.947 & 109.35 & 5.59742 & 3.75258 \tabularnewline
45 & 110.4 & 112.162 & 108.8 & 3.36171 & -1.76171 \tabularnewline
46 & 111.6 & 111.621 & 108.5 & 3.12123 & -0.0212302 \tabularnewline
47 & 105.1 & 104.159 & 108.221 & -4.06151 & 0.940675 \tabularnewline
48 & 107.5 & 109.652 & 107.833 & 1.81885 & -2.15218 \tabularnewline
49 & 92.9 & 93.4671 & 107.621 & -14.1538 & -0.567063 \tabularnewline
50 & 91 & 91.4593 & 107.279 & -15.8198 & -0.459325 \tabularnewline
51 & 100.2 & 101.724 & 106.667 & -4.94306 & -1.52361 \tabularnewline
52 & 112.2 & 111.037 & 106.062 & 4.97421 & 1.16329 \tabularnewline
53 & 116.5 & 114.007 & 105.421 & 8.58611 & 2.49306 \tabularnewline
54 & 111.2 & 110.55 & 104.783 & 5.76647 & 0.650198 \tabularnewline
55 & 113.3 & 109.998 & 104.246 & 5.75218 & 3.30198 \tabularnewline
56 & 112.2 & 109.289 & 103.692 & 5.59742 & 2.91091 \tabularnewline
57 & 102.2 & 106.495 & 103.133 & 3.36171 & -4.29504 \tabularnewline
58 & 105.3 & 105.663 & 102.542 & 3.12123 & -0.362897 \tabularnewline
59 & 96 & 97.7427 & 101.804 & -4.06151 & -1.74266 \tabularnewline
60 & 101.3 & 102.806 & 100.988 & 1.81885 & -1.50635 \tabularnewline
61 & 86.2 & 86.1212 & 100.275 & -14.1538 & 0.0787698 \tabularnewline
62 & 84.4 & 83.8885 & 99.7083 & -15.8198 & 0.511508 \tabularnewline
63 & 93.4 & 94.5944 & 99.5375 & -4.94306 & -1.19444 \tabularnewline
64 & 104.8 & 104.72 & 99.7458 & 4.97421 & 0.0799603 \tabularnewline
65 & 106.2 & 108.486 & 99.9 & 8.58611 & -2.28611 \tabularnewline
66 & 101.9 & 105.721 & 99.9542 & 5.76647 & -3.82063 \tabularnewline
67 & 105.5 & 105.915 & 100.162 & 5.75218 & -0.414683 \tabularnewline
68 & 106.4 & 106.102 & 100.504 & 5.59742 & 0.298413 \tabularnewline
69 & 103.9 & 104.32 & 100.958 & 3.36171 & -0.42004 \tabularnewline
70 & 108.6 & 104.646 & 101.525 & 3.12123 & 3.95377 \tabularnewline
71 & 96.4 & 97.9677 & 102.029 & -4.06151 & -1.56766 \tabularnewline
72 & 102.2 & 104.527 & 102.708 & 1.81885 & -2.32718 \tabularnewline
73 & 90.3 & 89.2296 & 103.383 & -14.1538 & 1.07044 \tabularnewline
74 & 88.5 & 87.7427 & 103.562 & -15.8198 & 0.757341 \tabularnewline
75 & 100.2 & 98.8653 & 103.808 & -4.94306 & 1.33472 \tabularnewline
76 & 111.6 & 109.078 & 104.104 & 4.97421 & 2.52163 \tabularnewline
77 & 111.5 & 112.907 & 104.321 & 8.58611 & -1.40694 \tabularnewline
78 & 112.9 & 110.6 & 104.833 & 5.76647 & 2.3002 \tabularnewline
79 & 110.7 & 111.065 & 105.312 & 5.75218 & -0.364683 \tabularnewline
80 & 105.5 & 111.202 & 105.604 & 5.59742 & -5.70159 \tabularnewline
81 & 110.7 & 109.32 & 105.958 & 3.36171 & 1.37996 \tabularnewline
82 & 108.9 & 109.367 & 106.246 & 3.12123 & -0.467063 \tabularnewline
83 & 101.3 & 102.43 & 106.492 & -4.06151 & -1.13016 \tabularnewline
84 & 109.6 & 108.536 & 106.717 & 1.81885 & 1.06448 \tabularnewline
85 & 94.4 & 92.6879 & 106.842 & -14.1538 & 1.7121 \tabularnewline
86 & 91.4 & 91.3302 & 107.15 & -15.8198 & 0.0698413 \tabularnewline
87 & 105.8 & 102.574 & 107.517 & -4.94306 & 3.22639 \tabularnewline
88 & 112.9 & 112.674 & 107.7 & 4.97421 & 0.225794 \tabularnewline
89 & 116.1 & 116.503 & 107.917 & 8.58611 & -0.402778 \tabularnewline
90 & 113.7 & 114.05 & 108.283 & 5.76647 & -0.349802 \tabularnewline
91 & 112.9 & NA & NA & 5.75218 & NA \tabularnewline
92 & 110.7 & NA & NA & 5.59742 & NA \tabularnewline
93 & 114.3 & NA & NA & 3.36171 & NA \tabularnewline
94 & 109.7 & NA & NA & 3.12123 & NA \tabularnewline
95 & 105.7 & NA & NA & -4.06151 & NA \tabularnewline
96 & 114 & NA & NA & 1.81885 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234877&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]85[/C][C]NA[/C][C]NA[/C][C]-14.1538[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]82[/C][C]NA[/C][C]NA[/C][C]-15.8198[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]92.4[/C][C]NA[/C][C]NA[/C][C]-4.94306[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]100.3[/C][C]NA[/C][C]NA[/C][C]4.97421[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]105.2[/C][C]NA[/C][C]NA[/C][C]8.58611[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]104.5[/C][C]NA[/C][C]NA[/C][C]5.76647[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]105.1[/C][C]105.844[/C][C]100.092[/C][C]5.75218[/C][C]-0.743849[/C][/ROW]
[ROW][C]8[/C][C]105[/C][C]106.018[/C][C]100.421[/C][C]5.59742[/C][C]-1.01825[/C][/ROW]
[ROW][C]9[/C][C]106.5[/C][C]104.083[/C][C]100.721[/C][C]3.36171[/C][C]2.41746[/C][/ROW]
[ROW][C]10[/C][C]106[/C][C]104.313[/C][C]101.192[/C][C]3.12123[/C][C]1.6871[/C][/ROW]
[ROW][C]11[/C][C]99.4[/C][C]97.751[/C][C]101.812[/C][C]-4.06151[/C][C]1.64901[/C][/ROW]
[ROW][C]12[/C][C]107.4[/C][C]104.177[/C][C]102.358[/C][C]1.81885[/C][C]3.22282[/C][/ROW]
[ROW][C]13[/C][C]89.6[/C][C]88.6587[/C][C]102.812[/C][C]-14.1538[/C][C]0.94127[/C][/ROW]
[ROW][C]14[/C][C]85.3[/C][C]87.4885[/C][C]103.308[/C][C]-15.8198[/C][C]-2.18849[/C][/ROW]
[ROW][C]15[/C][C]96.3[/C][C]98.9236[/C][C]103.867[/C][C]-4.94306[/C][C]-2.62361[/C][/ROW]
[ROW][C]16[/C][C]107.7[/C][C]109.249[/C][C]104.275[/C][C]4.97421[/C][C]-1.54921[/C][/ROW]
[ROW][C]17[/C][C]112.7[/C][C]113.282[/C][C]104.696[/C][C]8.58611[/C][C]-0.581944[/C][/ROW]
[ROW][C]18[/C][C]110.1[/C][C]110.991[/C][C]105.225[/C][C]5.76647[/C][C]-0.891468[/C][/ROW]
[ROW][C]19[/C][C]110.4[/C][C]111.461[/C][C]105.708[/C][C]5.75218[/C][C]-1.06052[/C][/ROW]
[ROW][C]20[/C][C]111.6[/C][C]111.91[/C][C]106.312[/C][C]5.59742[/C][C]-0.309921[/C][/ROW]
[ROW][C]21[/C][C]113.3[/C][C]110.449[/C][C]107.087[/C][C]3.36171[/C][C]2.85079[/C][/ROW]
[ROW][C]22[/C][C]109[/C][C]111[/C][C]107.879[/C][C]3.12123[/C][C]-2.0004[/C][/ROW]
[ROW][C]23[/C][C]106.5[/C][C]104.455[/C][C]108.517[/C][C]-4.06151[/C][C]2.04484[/C][/ROW]
[ROW][C]24[/C][C]113[/C][C]111.052[/C][C]109.233[/C][C]1.81885[/C][C]1.94782[/C][/ROW]
[ROW][C]25[/C][C]95.6[/C][C]95.8171[/C][C]109.971[/C][C]-14.1538[/C][C]-0.217063[/C][/ROW]
[ROW][C]26[/C][C]93.8[/C][C]94.6885[/C][C]110.508[/C][C]-15.8198[/C][C]-0.888492[/C][/ROW]
[ROW][C]27[/C][C]106.4[/C][C]105.899[/C][C]110.842[/C][C]-4.94306[/C][C]0.501389[/C][/ROW]
[ROW][C]28[/C][C]116.6[/C][C]116.037[/C][C]111.062[/C][C]4.97421[/C][C]0.563294[/C][/ROW]
[ROW][C]29[/C][C]119.1[/C][C]119.836[/C][C]111.25[/C][C]8.58611[/C][C]-0.736111[/C][/ROW]
[ROW][C]30[/C][C]120.9[/C][C]117.083[/C][C]111.317[/C][C]5.76647[/C][C]3.81687[/C][/ROW]
[ROW][C]31[/C][C]117.3[/C][C]117.031[/C][C]111.279[/C][C]5.75218[/C][C]0.268651[/C][/ROW]
[ROW][C]32[/C][C]117.6[/C][C]116.989[/C][C]111.392[/C][C]5.59742[/C][C]0.610913[/C][/ROW]
[ROW][C]33[/C][C]115.3[/C][C]114.928[/C][C]111.567[/C][C]3.36171[/C][C]0.371627[/C][/ROW]
[ROW][C]34[/C][C]112.3[/C][C]114.546[/C][C]111.425[/C][C]3.12123[/C][C]-2.24623[/C][/ROW]
[ROW][C]35[/C][C]107.7[/C][C]107.351[/C][C]111.413[/C][C]-4.06151[/C][C]0.349008[/C][/ROW]
[ROW][C]36[/C][C]113.4[/C][C]113.106[/C][C]111.288[/C][C]1.81885[/C][C]0.293651[/C][/ROW]
[ROW][C]37[/C][C]94.3[/C][C]96.7754[/C][C]110.929[/C][C]-14.1538[/C][C]-2.4754[/C][/ROW]
[ROW][C]38[/C][C]97.8[/C][C]95.0593[/C][C]110.879[/C][C]-15.8198[/C][C]2.74067[/C][/ROW]
[ROW][C]39[/C][C]106.6[/C][C]105.778[/C][C]110.721[/C][C]-4.94306[/C][C]0.822222[/C][/ROW]
[ROW][C]40[/C][C]113[/C][C]115.462[/C][C]110.488[/C][C]4.97421[/C][C]-2.46171[/C][/ROW]
[ROW][C]41[/C][C]122.4[/C][C]118.936[/C][C]110.35[/C][C]8.58611[/C][C]3.46389[/C][/ROW]
[ROW][C]42[/C][C]114.6[/C][C]115.762[/C][C]109.996[/C][C]5.76647[/C][C]-1.1623[/C][/ROW]
[ROW][C]43[/C][C]115[/C][C]115.444[/C][C]109.692[/C][C]5.75218[/C][C]-0.443849[/C][/ROW]
[ROW][C]44[/C][C]118.7[/C][C]114.947[/C][C]109.35[/C][C]5.59742[/C][C]3.75258[/C][/ROW]
[ROW][C]45[/C][C]110.4[/C][C]112.162[/C][C]108.8[/C][C]3.36171[/C][C]-1.76171[/C][/ROW]
[ROW][C]46[/C][C]111.6[/C][C]111.621[/C][C]108.5[/C][C]3.12123[/C][C]-0.0212302[/C][/ROW]
[ROW][C]47[/C][C]105.1[/C][C]104.159[/C][C]108.221[/C][C]-4.06151[/C][C]0.940675[/C][/ROW]
[ROW][C]48[/C][C]107.5[/C][C]109.652[/C][C]107.833[/C][C]1.81885[/C][C]-2.15218[/C][/ROW]
[ROW][C]49[/C][C]92.9[/C][C]93.4671[/C][C]107.621[/C][C]-14.1538[/C][C]-0.567063[/C][/ROW]
[ROW][C]50[/C][C]91[/C][C]91.4593[/C][C]107.279[/C][C]-15.8198[/C][C]-0.459325[/C][/ROW]
[ROW][C]51[/C][C]100.2[/C][C]101.724[/C][C]106.667[/C][C]-4.94306[/C][C]-1.52361[/C][/ROW]
[ROW][C]52[/C][C]112.2[/C][C]111.037[/C][C]106.062[/C][C]4.97421[/C][C]1.16329[/C][/ROW]
[ROW][C]53[/C][C]116.5[/C][C]114.007[/C][C]105.421[/C][C]8.58611[/C][C]2.49306[/C][/ROW]
[ROW][C]54[/C][C]111.2[/C][C]110.55[/C][C]104.783[/C][C]5.76647[/C][C]0.650198[/C][/ROW]
[ROW][C]55[/C][C]113.3[/C][C]109.998[/C][C]104.246[/C][C]5.75218[/C][C]3.30198[/C][/ROW]
[ROW][C]56[/C][C]112.2[/C][C]109.289[/C][C]103.692[/C][C]5.59742[/C][C]2.91091[/C][/ROW]
[ROW][C]57[/C][C]102.2[/C][C]106.495[/C][C]103.133[/C][C]3.36171[/C][C]-4.29504[/C][/ROW]
[ROW][C]58[/C][C]105.3[/C][C]105.663[/C][C]102.542[/C][C]3.12123[/C][C]-0.362897[/C][/ROW]
[ROW][C]59[/C][C]96[/C][C]97.7427[/C][C]101.804[/C][C]-4.06151[/C][C]-1.74266[/C][/ROW]
[ROW][C]60[/C][C]101.3[/C][C]102.806[/C][C]100.988[/C][C]1.81885[/C][C]-1.50635[/C][/ROW]
[ROW][C]61[/C][C]86.2[/C][C]86.1212[/C][C]100.275[/C][C]-14.1538[/C][C]0.0787698[/C][/ROW]
[ROW][C]62[/C][C]84.4[/C][C]83.8885[/C][C]99.7083[/C][C]-15.8198[/C][C]0.511508[/C][/ROW]
[ROW][C]63[/C][C]93.4[/C][C]94.5944[/C][C]99.5375[/C][C]-4.94306[/C][C]-1.19444[/C][/ROW]
[ROW][C]64[/C][C]104.8[/C][C]104.72[/C][C]99.7458[/C][C]4.97421[/C][C]0.0799603[/C][/ROW]
[ROW][C]65[/C][C]106.2[/C][C]108.486[/C][C]99.9[/C][C]8.58611[/C][C]-2.28611[/C][/ROW]
[ROW][C]66[/C][C]101.9[/C][C]105.721[/C][C]99.9542[/C][C]5.76647[/C][C]-3.82063[/C][/ROW]
[ROW][C]67[/C][C]105.5[/C][C]105.915[/C][C]100.162[/C][C]5.75218[/C][C]-0.414683[/C][/ROW]
[ROW][C]68[/C][C]106.4[/C][C]106.102[/C][C]100.504[/C][C]5.59742[/C][C]0.298413[/C][/ROW]
[ROW][C]69[/C][C]103.9[/C][C]104.32[/C][C]100.958[/C][C]3.36171[/C][C]-0.42004[/C][/ROW]
[ROW][C]70[/C][C]108.6[/C][C]104.646[/C][C]101.525[/C][C]3.12123[/C][C]3.95377[/C][/ROW]
[ROW][C]71[/C][C]96.4[/C][C]97.9677[/C][C]102.029[/C][C]-4.06151[/C][C]-1.56766[/C][/ROW]
[ROW][C]72[/C][C]102.2[/C][C]104.527[/C][C]102.708[/C][C]1.81885[/C][C]-2.32718[/C][/ROW]
[ROW][C]73[/C][C]90.3[/C][C]89.2296[/C][C]103.383[/C][C]-14.1538[/C][C]1.07044[/C][/ROW]
[ROW][C]74[/C][C]88.5[/C][C]87.7427[/C][C]103.562[/C][C]-15.8198[/C][C]0.757341[/C][/ROW]
[ROW][C]75[/C][C]100.2[/C][C]98.8653[/C][C]103.808[/C][C]-4.94306[/C][C]1.33472[/C][/ROW]
[ROW][C]76[/C][C]111.6[/C][C]109.078[/C][C]104.104[/C][C]4.97421[/C][C]2.52163[/C][/ROW]
[ROW][C]77[/C][C]111.5[/C][C]112.907[/C][C]104.321[/C][C]8.58611[/C][C]-1.40694[/C][/ROW]
[ROW][C]78[/C][C]112.9[/C][C]110.6[/C][C]104.833[/C][C]5.76647[/C][C]2.3002[/C][/ROW]
[ROW][C]79[/C][C]110.7[/C][C]111.065[/C][C]105.312[/C][C]5.75218[/C][C]-0.364683[/C][/ROW]
[ROW][C]80[/C][C]105.5[/C][C]111.202[/C][C]105.604[/C][C]5.59742[/C][C]-5.70159[/C][/ROW]
[ROW][C]81[/C][C]110.7[/C][C]109.32[/C][C]105.958[/C][C]3.36171[/C][C]1.37996[/C][/ROW]
[ROW][C]82[/C][C]108.9[/C][C]109.367[/C][C]106.246[/C][C]3.12123[/C][C]-0.467063[/C][/ROW]
[ROW][C]83[/C][C]101.3[/C][C]102.43[/C][C]106.492[/C][C]-4.06151[/C][C]-1.13016[/C][/ROW]
[ROW][C]84[/C][C]109.6[/C][C]108.536[/C][C]106.717[/C][C]1.81885[/C][C]1.06448[/C][/ROW]
[ROW][C]85[/C][C]94.4[/C][C]92.6879[/C][C]106.842[/C][C]-14.1538[/C][C]1.7121[/C][/ROW]
[ROW][C]86[/C][C]91.4[/C][C]91.3302[/C][C]107.15[/C][C]-15.8198[/C][C]0.0698413[/C][/ROW]
[ROW][C]87[/C][C]105.8[/C][C]102.574[/C][C]107.517[/C][C]-4.94306[/C][C]3.22639[/C][/ROW]
[ROW][C]88[/C][C]112.9[/C][C]112.674[/C][C]107.7[/C][C]4.97421[/C][C]0.225794[/C][/ROW]
[ROW][C]89[/C][C]116.1[/C][C]116.503[/C][C]107.917[/C][C]8.58611[/C][C]-0.402778[/C][/ROW]
[ROW][C]90[/C][C]113.7[/C][C]114.05[/C][C]108.283[/C][C]5.76647[/C][C]-0.349802[/C][/ROW]
[ROW][C]91[/C][C]112.9[/C][C]NA[/C][C]NA[/C][C]5.75218[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]110.7[/C][C]NA[/C][C]NA[/C][C]5.59742[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]114.3[/C][C]NA[/C][C]NA[/C][C]3.36171[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]109.7[/C][C]NA[/C][C]NA[/C][C]3.12123[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]105.7[/C][C]NA[/C][C]NA[/C][C]-4.06151[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]114[/C][C]NA[/C][C]NA[/C][C]1.81885[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234877&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234877&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
185NANA-14.1538NA
282NANA-15.8198NA
392.4NANA-4.94306NA
4100.3NANA4.97421NA
5105.2NANA8.58611NA
6104.5NANA5.76647NA
7105.1105.844100.0925.75218-0.743849
8105106.018100.4215.59742-1.01825
9106.5104.083100.7213.361712.41746
10106104.313101.1923.121231.6871
1199.497.751101.812-4.061511.64901
12107.4104.177102.3581.818853.22282
1389.688.6587102.812-14.15380.94127
1485.387.4885103.308-15.8198-2.18849
1596.398.9236103.867-4.94306-2.62361
16107.7109.249104.2754.97421-1.54921
17112.7113.282104.6968.58611-0.581944
18110.1110.991105.2255.76647-0.891468
19110.4111.461105.7085.75218-1.06052
20111.6111.91106.3125.59742-0.309921
21113.3110.449107.0873.361712.85079
22109111107.8793.12123-2.0004
23106.5104.455108.517-4.061512.04484
24113111.052109.2331.818851.94782
2595.695.8171109.971-14.1538-0.217063
2693.894.6885110.508-15.8198-0.888492
27106.4105.899110.842-4.943060.501389
28116.6116.037111.0624.974210.563294
29119.1119.836111.258.58611-0.736111
30120.9117.083111.3175.766473.81687
31117.3117.031111.2795.752180.268651
32117.6116.989111.3925.597420.610913
33115.3114.928111.5673.361710.371627
34112.3114.546111.4253.12123-2.24623
35107.7107.351111.413-4.061510.349008
36113.4113.106111.2881.818850.293651
3794.396.7754110.929-14.1538-2.4754
3897.895.0593110.879-15.81982.74067
39106.6105.778110.721-4.943060.822222
40113115.462110.4884.97421-2.46171
41122.4118.936110.358.586113.46389
42114.6115.762109.9965.76647-1.1623
43115115.444109.6925.75218-0.443849
44118.7114.947109.355.597423.75258
45110.4112.162108.83.36171-1.76171
46111.6111.621108.53.12123-0.0212302
47105.1104.159108.221-4.061510.940675
48107.5109.652107.8331.81885-2.15218
4992.993.4671107.621-14.1538-0.567063
509191.4593107.279-15.8198-0.459325
51100.2101.724106.667-4.94306-1.52361
52112.2111.037106.0624.974211.16329
53116.5114.007105.4218.586112.49306
54111.2110.55104.7835.766470.650198
55113.3109.998104.2465.752183.30198
56112.2109.289103.6925.597422.91091
57102.2106.495103.1333.36171-4.29504
58105.3105.663102.5423.12123-0.362897
599697.7427101.804-4.06151-1.74266
60101.3102.806100.9881.81885-1.50635
6186.286.1212100.275-14.15380.0787698
6284.483.888599.7083-15.81980.511508
6393.494.594499.5375-4.94306-1.19444
64104.8104.7299.74584.974210.0799603
65106.2108.48699.98.58611-2.28611
66101.9105.72199.95425.76647-3.82063
67105.5105.915100.1625.75218-0.414683
68106.4106.102100.5045.597420.298413
69103.9104.32100.9583.36171-0.42004
70108.6104.646101.5253.121233.95377
7196.497.9677102.029-4.06151-1.56766
72102.2104.527102.7081.81885-2.32718
7390.389.2296103.383-14.15381.07044
7488.587.7427103.562-15.81980.757341
75100.298.8653103.808-4.943061.33472
76111.6109.078104.1044.974212.52163
77111.5112.907104.3218.58611-1.40694
78112.9110.6104.8335.766472.3002
79110.7111.065105.3125.75218-0.364683
80105.5111.202105.6045.59742-5.70159
81110.7109.32105.9583.361711.37996
82108.9109.367106.2463.12123-0.467063
83101.3102.43106.492-4.06151-1.13016
84109.6108.536106.7171.818851.06448
8594.492.6879106.842-14.15381.7121
8691.491.3302107.15-15.81980.0698413
87105.8102.574107.517-4.943063.22639
88112.9112.674107.74.974210.225794
89116.1116.503107.9178.58611-0.402778
90113.7114.05108.2835.76647-0.349802
91112.9NANA5.75218NA
92110.7NANA5.59742NA
93114.3NANA3.36171NA
94109.7NANA3.12123NA
95105.7NANA-4.06151NA
96114NANA1.81885NA



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')