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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 17 Dec 2014 11:16:44 +0000
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/Dec/17/t1418815047ql13vi65fu98org.htm/, Retrieved Thu, 16 May 2024 10:08:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270037, Retrieved Thu, 16 May 2024 10:08:49 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [cd] [2014-12-17 11:16:44] [ec1b40d1a9751af99658fe8fca4f9eca] [Current]
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Dataseries X:
4.3
4.9
5.6
5.7
5.9
6.3
6.4
6.4
6.4
6.7
6.7
7.3
7.4
7.6
7.7
7.7
7.9
7.9
8
8.2
8.3
8.3
8.5
8.6
8.8
8.8
9
9
9.1
9.2
9.3
9.3
9.3
9.6
9.6
9.6
9.7
9.9
9.9
9.9
10
10.1
10.3
10.3
10.3
10.4
10.5
10.6
10.7
10.8
10.8
10.8
10.9
10.9
10.9
11.1
11.1
11.1
11.2
11.3
11.3
11.4
11.4
11.4
11.4
11.4
11.5
11.6
11.6
11.7
11.7
11.8
11.8
11.8
11.9
12
12.1
12.2
12.2
12.3
12.3
12.3
12.5
12.6
12.6
12.6
12.6
12.7
12.7
12.8
12.9
13
13
13
13.2
13.2
13.3
13.3
13.3
13.4
13.4
13.5
13.6
13.8
13.8
14.2
14.3
14.5
14.6
14.8
15.9
16.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270037&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270037&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
14.3NANA0.0509645NA
24.9NANA0.0499228NA
35.6NANA0.0228395NA
45.7NANA-0.0172647NA
55.9NANA-0.0209105NA
66.3NANA-0.0354938NA
76.46.183376.179170.004205250.216628
86.46.431526.420830.0106867-0.0315201
96.46.549116.62083-0.0717207-0.149113
106.76.757456.79167-0.0342207-0.057446
116.76.948366.95833-0.00997299-0.24836
127.37.15937.108330.05096450.140702
137.47.292637.241670.05096450.107369
147.67.433267.383330.04992280.166744
157.77.560347.53750.02283950.13966
167.77.666077.68333-0.01726470.0339313
177.97.804097.825-0.02091050.0959105
187.97.918677.95417-0.0354938-0.0186728
1988.070878.066670.00420525-0.0708719
208.28.185698.1750.01068670.0143133
218.38.207458.27917-0.07172070.092554
228.38.353288.3875-0.0342207-0.0532793
238.58.481698.49167-0.009972990.0183063
248.68.64688.595830.0509645-0.0467978
258.88.755138.704170.05096450.0448688
268.88.854098.804170.0499228-0.0540895
2798.914518.891670.02283950.0854938
2898.970248.9875-0.01726470.0297647
299.19.066599.0875-0.02091050.0334105
309.29.139519.175-0.03549380.0604938
319.39.258379.254170.004205250.0416281
329.39.348199.33750.0106867-0.0481867
339.39.349119.42083-0.0717207-0.0491127
349.69.461619.49583-0.03422070.138387
359.69.560869.57083-0.009972990.0391397
369.69.69689.645830.0509645-0.0967978
379.79.775969.7250.0509645-0.0759645
389.99.858269.808330.04992280.0417438
399.99.914519.891670.0228395-0.0145062
409.99.94949.96667-0.0172647-0.049402
411010.016610.0375-0.0209105-0.0165895
4210.110.081210.1167-0.03549380.0188272
4310.310.204210.20.004205250.0957948
4410.310.289910.27920.01068670.0101466
4510.310.282410.3542-0.07172070.017554
4610.410.394910.4292-0.03422070.00505401
4710.510.494210.5042-0.009972990.00580633
4810.610.62610.5750.0509645-0.0259645
4910.710.684310.63330.05096450.0157022
5010.810.741610.69170.04992280.0584105
5110.810.781210.75830.02283950.0188272
5210.810.803610.8208-0.0172647-0.00356867
5310.910.858310.8792-0.02091050.0417438
5410.910.90210.9375-0.0354938-0.00200617
5510.910.995910.99170.00420525-0.0958719
5611.111.052411.04170.01068670.0476466
5711.111.019911.0917-0.07172070.080054
5811.111.107411.1417-0.0342207-0.00744599
5911.211.177511.1875-0.009972990.022473
6011.311.280111.22920.05096450.0198688
6111.311.32611.2750.0509645-0.0259645
6211.411.370811.32080.04992280.0292438
6311.411.385311.36250.02283950.0146605
6411.411.391111.4083-0.01726470.00893133
6511.411.433311.4542-0.0209105-0.0332562
6611.411.460311.4958-0.0354938-0.0603395
6711.511.541711.53750.00420525-0.0417052
6811.611.585711.5750.01068670.0143133
6911.611.540811.6125-0.07172070.0592207
7011.711.624111.6583-0.03422070.0758873
7111.711.702511.7125-0.00997299-0.00252701
7211.811.82611.7750.0509645-0.0259645
7311.811.888511.83750.0509645-0.0884645
7411.811.945811.89580.0499228-0.145756
7511.911.97711.95420.0228395-0.0770062
761211.991112.0083-0.01726470.00893133
7712.112.045812.0667-0.02091050.0542438
7812.212.097812.1333-0.03549380.10216
7912.212.204212.20.00420525-0.00420525
8012.312.277412.26670.01068670.0226466
8112.312.257412.3292-0.07172070.042554
8212.312.353312.3875-0.0342207-0.0532793
8312.512.431712.4417-0.009972990.0683063
8412.612.542612.49170.05096450.0573688
8512.612.596812.54580.05096450.00320216
8612.612.654112.60420.0499228-0.0540895
8712.612.685312.66250.0228395-0.0853395
8812.712.703612.7208-0.0172647-0.00356867
8912.712.758312.7792-0.0209105-0.0582562
9012.812.797812.8333-0.03549380.00216049
9112.912.891712.88750.004205250.00829475
921312.956512.94580.01068670.0434799
931312.932413.0042-0.07172070.067554
941313.028313.0625-0.0342207-0.0282793
9513.213.110913.1208-0.009972990.0891397
9613.213.230113.17920.0509645-0.0301312
9713.313.288513.23750.05096450.0115355
9813.313.349913.30.0499228-0.0499228
9913.313.389513.36670.0228395-0.0895062
10013.413.432713.45-0.0172647-0.0327353
10113.413.524913.5458-0.0209105-0.124923
10213.513.610313.6458-0.0354938-0.11034
10313.613.758413.75420.00420525-0.158372
10413.813.881513.87080.0106867-0.0815201
10513.813.969914.0417-0.0717207-0.169946
10614.214.228314.2625-0.0342207-0.0282793
10714.3NANA-0.00997299NA
10814.5NANA0.0509645NA
10914.6NANA0.0509645NA
11014.8NANA0.0499228NA
11115.9NANA0.0228395NA
11216.1NANA-0.0172647NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4.3 & NA & NA & 0.0509645 & NA \tabularnewline
2 & 4.9 & NA & NA & 0.0499228 & NA \tabularnewline
3 & 5.6 & NA & NA & 0.0228395 & NA \tabularnewline
4 & 5.7 & NA & NA & -0.0172647 & NA \tabularnewline
5 & 5.9 & NA & NA & -0.0209105 & NA \tabularnewline
6 & 6.3 & NA & NA & -0.0354938 & NA \tabularnewline
7 & 6.4 & 6.18337 & 6.17917 & 0.00420525 & 0.216628 \tabularnewline
8 & 6.4 & 6.43152 & 6.42083 & 0.0106867 & -0.0315201 \tabularnewline
9 & 6.4 & 6.54911 & 6.62083 & -0.0717207 & -0.149113 \tabularnewline
10 & 6.7 & 6.75745 & 6.79167 & -0.0342207 & -0.057446 \tabularnewline
11 & 6.7 & 6.94836 & 6.95833 & -0.00997299 & -0.24836 \tabularnewline
12 & 7.3 & 7.1593 & 7.10833 & 0.0509645 & 0.140702 \tabularnewline
13 & 7.4 & 7.29263 & 7.24167 & 0.0509645 & 0.107369 \tabularnewline
14 & 7.6 & 7.43326 & 7.38333 & 0.0499228 & 0.166744 \tabularnewline
15 & 7.7 & 7.56034 & 7.5375 & 0.0228395 & 0.13966 \tabularnewline
16 & 7.7 & 7.66607 & 7.68333 & -0.0172647 & 0.0339313 \tabularnewline
17 & 7.9 & 7.80409 & 7.825 & -0.0209105 & 0.0959105 \tabularnewline
18 & 7.9 & 7.91867 & 7.95417 & -0.0354938 & -0.0186728 \tabularnewline
19 & 8 & 8.07087 & 8.06667 & 0.00420525 & -0.0708719 \tabularnewline
20 & 8.2 & 8.18569 & 8.175 & 0.0106867 & 0.0143133 \tabularnewline
21 & 8.3 & 8.20745 & 8.27917 & -0.0717207 & 0.092554 \tabularnewline
22 & 8.3 & 8.35328 & 8.3875 & -0.0342207 & -0.0532793 \tabularnewline
23 & 8.5 & 8.48169 & 8.49167 & -0.00997299 & 0.0183063 \tabularnewline
24 & 8.6 & 8.6468 & 8.59583 & 0.0509645 & -0.0467978 \tabularnewline
25 & 8.8 & 8.75513 & 8.70417 & 0.0509645 & 0.0448688 \tabularnewline
26 & 8.8 & 8.85409 & 8.80417 & 0.0499228 & -0.0540895 \tabularnewline
27 & 9 & 8.91451 & 8.89167 & 0.0228395 & 0.0854938 \tabularnewline
28 & 9 & 8.97024 & 8.9875 & -0.0172647 & 0.0297647 \tabularnewline
29 & 9.1 & 9.06659 & 9.0875 & -0.0209105 & 0.0334105 \tabularnewline
30 & 9.2 & 9.13951 & 9.175 & -0.0354938 & 0.0604938 \tabularnewline
31 & 9.3 & 9.25837 & 9.25417 & 0.00420525 & 0.0416281 \tabularnewline
32 & 9.3 & 9.34819 & 9.3375 & 0.0106867 & -0.0481867 \tabularnewline
33 & 9.3 & 9.34911 & 9.42083 & -0.0717207 & -0.0491127 \tabularnewline
34 & 9.6 & 9.46161 & 9.49583 & -0.0342207 & 0.138387 \tabularnewline
35 & 9.6 & 9.56086 & 9.57083 & -0.00997299 & 0.0391397 \tabularnewline
36 & 9.6 & 9.6968 & 9.64583 & 0.0509645 & -0.0967978 \tabularnewline
37 & 9.7 & 9.77596 & 9.725 & 0.0509645 & -0.0759645 \tabularnewline
38 & 9.9 & 9.85826 & 9.80833 & 0.0499228 & 0.0417438 \tabularnewline
39 & 9.9 & 9.91451 & 9.89167 & 0.0228395 & -0.0145062 \tabularnewline
40 & 9.9 & 9.9494 & 9.96667 & -0.0172647 & -0.049402 \tabularnewline
41 & 10 & 10.0166 & 10.0375 & -0.0209105 & -0.0165895 \tabularnewline
42 & 10.1 & 10.0812 & 10.1167 & -0.0354938 & 0.0188272 \tabularnewline
43 & 10.3 & 10.2042 & 10.2 & 0.00420525 & 0.0957948 \tabularnewline
44 & 10.3 & 10.2899 & 10.2792 & 0.0106867 & 0.0101466 \tabularnewline
45 & 10.3 & 10.2824 & 10.3542 & -0.0717207 & 0.017554 \tabularnewline
46 & 10.4 & 10.3949 & 10.4292 & -0.0342207 & 0.00505401 \tabularnewline
47 & 10.5 & 10.4942 & 10.5042 & -0.00997299 & 0.00580633 \tabularnewline
48 & 10.6 & 10.626 & 10.575 & 0.0509645 & -0.0259645 \tabularnewline
49 & 10.7 & 10.6843 & 10.6333 & 0.0509645 & 0.0157022 \tabularnewline
50 & 10.8 & 10.7416 & 10.6917 & 0.0499228 & 0.0584105 \tabularnewline
51 & 10.8 & 10.7812 & 10.7583 & 0.0228395 & 0.0188272 \tabularnewline
52 & 10.8 & 10.8036 & 10.8208 & -0.0172647 & -0.00356867 \tabularnewline
53 & 10.9 & 10.8583 & 10.8792 & -0.0209105 & 0.0417438 \tabularnewline
54 & 10.9 & 10.902 & 10.9375 & -0.0354938 & -0.00200617 \tabularnewline
55 & 10.9 & 10.9959 & 10.9917 & 0.00420525 & -0.0958719 \tabularnewline
56 & 11.1 & 11.0524 & 11.0417 & 0.0106867 & 0.0476466 \tabularnewline
57 & 11.1 & 11.0199 & 11.0917 & -0.0717207 & 0.080054 \tabularnewline
58 & 11.1 & 11.1074 & 11.1417 & -0.0342207 & -0.00744599 \tabularnewline
59 & 11.2 & 11.1775 & 11.1875 & -0.00997299 & 0.022473 \tabularnewline
60 & 11.3 & 11.2801 & 11.2292 & 0.0509645 & 0.0198688 \tabularnewline
61 & 11.3 & 11.326 & 11.275 & 0.0509645 & -0.0259645 \tabularnewline
62 & 11.4 & 11.3708 & 11.3208 & 0.0499228 & 0.0292438 \tabularnewline
63 & 11.4 & 11.3853 & 11.3625 & 0.0228395 & 0.0146605 \tabularnewline
64 & 11.4 & 11.3911 & 11.4083 & -0.0172647 & 0.00893133 \tabularnewline
65 & 11.4 & 11.4333 & 11.4542 & -0.0209105 & -0.0332562 \tabularnewline
66 & 11.4 & 11.4603 & 11.4958 & -0.0354938 & -0.0603395 \tabularnewline
67 & 11.5 & 11.5417 & 11.5375 & 0.00420525 & -0.0417052 \tabularnewline
68 & 11.6 & 11.5857 & 11.575 & 0.0106867 & 0.0143133 \tabularnewline
69 & 11.6 & 11.5408 & 11.6125 & -0.0717207 & 0.0592207 \tabularnewline
70 & 11.7 & 11.6241 & 11.6583 & -0.0342207 & 0.0758873 \tabularnewline
71 & 11.7 & 11.7025 & 11.7125 & -0.00997299 & -0.00252701 \tabularnewline
72 & 11.8 & 11.826 & 11.775 & 0.0509645 & -0.0259645 \tabularnewline
73 & 11.8 & 11.8885 & 11.8375 & 0.0509645 & -0.0884645 \tabularnewline
74 & 11.8 & 11.9458 & 11.8958 & 0.0499228 & -0.145756 \tabularnewline
75 & 11.9 & 11.977 & 11.9542 & 0.0228395 & -0.0770062 \tabularnewline
76 & 12 & 11.9911 & 12.0083 & -0.0172647 & 0.00893133 \tabularnewline
77 & 12.1 & 12.0458 & 12.0667 & -0.0209105 & 0.0542438 \tabularnewline
78 & 12.2 & 12.0978 & 12.1333 & -0.0354938 & 0.10216 \tabularnewline
79 & 12.2 & 12.2042 & 12.2 & 0.00420525 & -0.00420525 \tabularnewline
80 & 12.3 & 12.2774 & 12.2667 & 0.0106867 & 0.0226466 \tabularnewline
81 & 12.3 & 12.2574 & 12.3292 & -0.0717207 & 0.042554 \tabularnewline
82 & 12.3 & 12.3533 & 12.3875 & -0.0342207 & -0.0532793 \tabularnewline
83 & 12.5 & 12.4317 & 12.4417 & -0.00997299 & 0.0683063 \tabularnewline
84 & 12.6 & 12.5426 & 12.4917 & 0.0509645 & 0.0573688 \tabularnewline
85 & 12.6 & 12.5968 & 12.5458 & 0.0509645 & 0.00320216 \tabularnewline
86 & 12.6 & 12.6541 & 12.6042 & 0.0499228 & -0.0540895 \tabularnewline
87 & 12.6 & 12.6853 & 12.6625 & 0.0228395 & -0.0853395 \tabularnewline
88 & 12.7 & 12.7036 & 12.7208 & -0.0172647 & -0.00356867 \tabularnewline
89 & 12.7 & 12.7583 & 12.7792 & -0.0209105 & -0.0582562 \tabularnewline
90 & 12.8 & 12.7978 & 12.8333 & -0.0354938 & 0.00216049 \tabularnewline
91 & 12.9 & 12.8917 & 12.8875 & 0.00420525 & 0.00829475 \tabularnewline
92 & 13 & 12.9565 & 12.9458 & 0.0106867 & 0.0434799 \tabularnewline
93 & 13 & 12.9324 & 13.0042 & -0.0717207 & 0.067554 \tabularnewline
94 & 13 & 13.0283 & 13.0625 & -0.0342207 & -0.0282793 \tabularnewline
95 & 13.2 & 13.1109 & 13.1208 & -0.00997299 & 0.0891397 \tabularnewline
96 & 13.2 & 13.2301 & 13.1792 & 0.0509645 & -0.0301312 \tabularnewline
97 & 13.3 & 13.2885 & 13.2375 & 0.0509645 & 0.0115355 \tabularnewline
98 & 13.3 & 13.3499 & 13.3 & 0.0499228 & -0.0499228 \tabularnewline
99 & 13.3 & 13.3895 & 13.3667 & 0.0228395 & -0.0895062 \tabularnewline
100 & 13.4 & 13.4327 & 13.45 & -0.0172647 & -0.0327353 \tabularnewline
101 & 13.4 & 13.5249 & 13.5458 & -0.0209105 & -0.124923 \tabularnewline
102 & 13.5 & 13.6103 & 13.6458 & -0.0354938 & -0.11034 \tabularnewline
103 & 13.6 & 13.7584 & 13.7542 & 0.00420525 & -0.158372 \tabularnewline
104 & 13.8 & 13.8815 & 13.8708 & 0.0106867 & -0.0815201 \tabularnewline
105 & 13.8 & 13.9699 & 14.0417 & -0.0717207 & -0.169946 \tabularnewline
106 & 14.2 & 14.2283 & 14.2625 & -0.0342207 & -0.0282793 \tabularnewline
107 & 14.3 & NA & NA & -0.00997299 & NA \tabularnewline
108 & 14.5 & NA & NA & 0.0509645 & NA \tabularnewline
109 & 14.6 & NA & NA & 0.0509645 & NA \tabularnewline
110 & 14.8 & NA & NA & 0.0499228 & NA \tabularnewline
111 & 15.9 & NA & NA & 0.0228395 & NA \tabularnewline
112 & 16.1 & NA & NA & -0.0172647 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270037&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]4.3[/C][C]NA[/C][C]NA[/C][C]0.0509645[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4.9[/C][C]NA[/C][C]NA[/C][C]0.0499228[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5.6[/C][C]NA[/C][C]NA[/C][C]0.0228395[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5.7[/C][C]NA[/C][C]NA[/C][C]-0.0172647[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5.9[/C][C]NA[/C][C]NA[/C][C]-0.0209105[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]6.3[/C][C]NA[/C][C]NA[/C][C]-0.0354938[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6.4[/C][C]6.18337[/C][C]6.17917[/C][C]0.00420525[/C][C]0.216628[/C][/ROW]
[ROW][C]8[/C][C]6.4[/C][C]6.43152[/C][C]6.42083[/C][C]0.0106867[/C][C]-0.0315201[/C][/ROW]
[ROW][C]9[/C][C]6.4[/C][C]6.54911[/C][C]6.62083[/C][C]-0.0717207[/C][C]-0.149113[/C][/ROW]
[ROW][C]10[/C][C]6.7[/C][C]6.75745[/C][C]6.79167[/C][C]-0.0342207[/C][C]-0.057446[/C][/ROW]
[ROW][C]11[/C][C]6.7[/C][C]6.94836[/C][C]6.95833[/C][C]-0.00997299[/C][C]-0.24836[/C][/ROW]
[ROW][C]12[/C][C]7.3[/C][C]7.1593[/C][C]7.10833[/C][C]0.0509645[/C][C]0.140702[/C][/ROW]
[ROW][C]13[/C][C]7.4[/C][C]7.29263[/C][C]7.24167[/C][C]0.0509645[/C][C]0.107369[/C][/ROW]
[ROW][C]14[/C][C]7.6[/C][C]7.43326[/C][C]7.38333[/C][C]0.0499228[/C][C]0.166744[/C][/ROW]
[ROW][C]15[/C][C]7.7[/C][C]7.56034[/C][C]7.5375[/C][C]0.0228395[/C][C]0.13966[/C][/ROW]
[ROW][C]16[/C][C]7.7[/C][C]7.66607[/C][C]7.68333[/C][C]-0.0172647[/C][C]0.0339313[/C][/ROW]
[ROW][C]17[/C][C]7.9[/C][C]7.80409[/C][C]7.825[/C][C]-0.0209105[/C][C]0.0959105[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]7.91867[/C][C]7.95417[/C][C]-0.0354938[/C][C]-0.0186728[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]8.07087[/C][C]8.06667[/C][C]0.00420525[/C][C]-0.0708719[/C][/ROW]
[ROW][C]20[/C][C]8.2[/C][C]8.18569[/C][C]8.175[/C][C]0.0106867[/C][C]0.0143133[/C][/ROW]
[ROW][C]21[/C][C]8.3[/C][C]8.20745[/C][C]8.27917[/C][C]-0.0717207[/C][C]0.092554[/C][/ROW]
[ROW][C]22[/C][C]8.3[/C][C]8.35328[/C][C]8.3875[/C][C]-0.0342207[/C][C]-0.0532793[/C][/ROW]
[ROW][C]23[/C][C]8.5[/C][C]8.48169[/C][C]8.49167[/C][C]-0.00997299[/C][C]0.0183063[/C][/ROW]
[ROW][C]24[/C][C]8.6[/C][C]8.6468[/C][C]8.59583[/C][C]0.0509645[/C][C]-0.0467978[/C][/ROW]
[ROW][C]25[/C][C]8.8[/C][C]8.75513[/C][C]8.70417[/C][C]0.0509645[/C][C]0.0448688[/C][/ROW]
[ROW][C]26[/C][C]8.8[/C][C]8.85409[/C][C]8.80417[/C][C]0.0499228[/C][C]-0.0540895[/C][/ROW]
[ROW][C]27[/C][C]9[/C][C]8.91451[/C][C]8.89167[/C][C]0.0228395[/C][C]0.0854938[/C][/ROW]
[ROW][C]28[/C][C]9[/C][C]8.97024[/C][C]8.9875[/C][C]-0.0172647[/C][C]0.0297647[/C][/ROW]
[ROW][C]29[/C][C]9.1[/C][C]9.06659[/C][C]9.0875[/C][C]-0.0209105[/C][C]0.0334105[/C][/ROW]
[ROW][C]30[/C][C]9.2[/C][C]9.13951[/C][C]9.175[/C][C]-0.0354938[/C][C]0.0604938[/C][/ROW]
[ROW][C]31[/C][C]9.3[/C][C]9.25837[/C][C]9.25417[/C][C]0.00420525[/C][C]0.0416281[/C][/ROW]
[ROW][C]32[/C][C]9.3[/C][C]9.34819[/C][C]9.3375[/C][C]0.0106867[/C][C]-0.0481867[/C][/ROW]
[ROW][C]33[/C][C]9.3[/C][C]9.34911[/C][C]9.42083[/C][C]-0.0717207[/C][C]-0.0491127[/C][/ROW]
[ROW][C]34[/C][C]9.6[/C][C]9.46161[/C][C]9.49583[/C][C]-0.0342207[/C][C]0.138387[/C][/ROW]
[ROW][C]35[/C][C]9.6[/C][C]9.56086[/C][C]9.57083[/C][C]-0.00997299[/C][C]0.0391397[/C][/ROW]
[ROW][C]36[/C][C]9.6[/C][C]9.6968[/C][C]9.64583[/C][C]0.0509645[/C][C]-0.0967978[/C][/ROW]
[ROW][C]37[/C][C]9.7[/C][C]9.77596[/C][C]9.725[/C][C]0.0509645[/C][C]-0.0759645[/C][/ROW]
[ROW][C]38[/C][C]9.9[/C][C]9.85826[/C][C]9.80833[/C][C]0.0499228[/C][C]0.0417438[/C][/ROW]
[ROW][C]39[/C][C]9.9[/C][C]9.91451[/C][C]9.89167[/C][C]0.0228395[/C][C]-0.0145062[/C][/ROW]
[ROW][C]40[/C][C]9.9[/C][C]9.9494[/C][C]9.96667[/C][C]-0.0172647[/C][C]-0.049402[/C][/ROW]
[ROW][C]41[/C][C]10[/C][C]10.0166[/C][C]10.0375[/C][C]-0.0209105[/C][C]-0.0165895[/C][/ROW]
[ROW][C]42[/C][C]10.1[/C][C]10.0812[/C][C]10.1167[/C][C]-0.0354938[/C][C]0.0188272[/C][/ROW]
[ROW][C]43[/C][C]10.3[/C][C]10.2042[/C][C]10.2[/C][C]0.00420525[/C][C]0.0957948[/C][/ROW]
[ROW][C]44[/C][C]10.3[/C][C]10.2899[/C][C]10.2792[/C][C]0.0106867[/C][C]0.0101466[/C][/ROW]
[ROW][C]45[/C][C]10.3[/C][C]10.2824[/C][C]10.3542[/C][C]-0.0717207[/C][C]0.017554[/C][/ROW]
[ROW][C]46[/C][C]10.4[/C][C]10.3949[/C][C]10.4292[/C][C]-0.0342207[/C][C]0.00505401[/C][/ROW]
[ROW][C]47[/C][C]10.5[/C][C]10.4942[/C][C]10.5042[/C][C]-0.00997299[/C][C]0.00580633[/C][/ROW]
[ROW][C]48[/C][C]10.6[/C][C]10.626[/C][C]10.575[/C][C]0.0509645[/C][C]-0.0259645[/C][/ROW]
[ROW][C]49[/C][C]10.7[/C][C]10.6843[/C][C]10.6333[/C][C]0.0509645[/C][C]0.0157022[/C][/ROW]
[ROW][C]50[/C][C]10.8[/C][C]10.7416[/C][C]10.6917[/C][C]0.0499228[/C][C]0.0584105[/C][/ROW]
[ROW][C]51[/C][C]10.8[/C][C]10.7812[/C][C]10.7583[/C][C]0.0228395[/C][C]0.0188272[/C][/ROW]
[ROW][C]52[/C][C]10.8[/C][C]10.8036[/C][C]10.8208[/C][C]-0.0172647[/C][C]-0.00356867[/C][/ROW]
[ROW][C]53[/C][C]10.9[/C][C]10.8583[/C][C]10.8792[/C][C]-0.0209105[/C][C]0.0417438[/C][/ROW]
[ROW][C]54[/C][C]10.9[/C][C]10.902[/C][C]10.9375[/C][C]-0.0354938[/C][C]-0.00200617[/C][/ROW]
[ROW][C]55[/C][C]10.9[/C][C]10.9959[/C][C]10.9917[/C][C]0.00420525[/C][C]-0.0958719[/C][/ROW]
[ROW][C]56[/C][C]11.1[/C][C]11.0524[/C][C]11.0417[/C][C]0.0106867[/C][C]0.0476466[/C][/ROW]
[ROW][C]57[/C][C]11.1[/C][C]11.0199[/C][C]11.0917[/C][C]-0.0717207[/C][C]0.080054[/C][/ROW]
[ROW][C]58[/C][C]11.1[/C][C]11.1074[/C][C]11.1417[/C][C]-0.0342207[/C][C]-0.00744599[/C][/ROW]
[ROW][C]59[/C][C]11.2[/C][C]11.1775[/C][C]11.1875[/C][C]-0.00997299[/C][C]0.022473[/C][/ROW]
[ROW][C]60[/C][C]11.3[/C][C]11.2801[/C][C]11.2292[/C][C]0.0509645[/C][C]0.0198688[/C][/ROW]
[ROW][C]61[/C][C]11.3[/C][C]11.326[/C][C]11.275[/C][C]0.0509645[/C][C]-0.0259645[/C][/ROW]
[ROW][C]62[/C][C]11.4[/C][C]11.3708[/C][C]11.3208[/C][C]0.0499228[/C][C]0.0292438[/C][/ROW]
[ROW][C]63[/C][C]11.4[/C][C]11.3853[/C][C]11.3625[/C][C]0.0228395[/C][C]0.0146605[/C][/ROW]
[ROW][C]64[/C][C]11.4[/C][C]11.3911[/C][C]11.4083[/C][C]-0.0172647[/C][C]0.00893133[/C][/ROW]
[ROW][C]65[/C][C]11.4[/C][C]11.4333[/C][C]11.4542[/C][C]-0.0209105[/C][C]-0.0332562[/C][/ROW]
[ROW][C]66[/C][C]11.4[/C][C]11.4603[/C][C]11.4958[/C][C]-0.0354938[/C][C]-0.0603395[/C][/ROW]
[ROW][C]67[/C][C]11.5[/C][C]11.5417[/C][C]11.5375[/C][C]0.00420525[/C][C]-0.0417052[/C][/ROW]
[ROW][C]68[/C][C]11.6[/C][C]11.5857[/C][C]11.575[/C][C]0.0106867[/C][C]0.0143133[/C][/ROW]
[ROW][C]69[/C][C]11.6[/C][C]11.5408[/C][C]11.6125[/C][C]-0.0717207[/C][C]0.0592207[/C][/ROW]
[ROW][C]70[/C][C]11.7[/C][C]11.6241[/C][C]11.6583[/C][C]-0.0342207[/C][C]0.0758873[/C][/ROW]
[ROW][C]71[/C][C]11.7[/C][C]11.7025[/C][C]11.7125[/C][C]-0.00997299[/C][C]-0.00252701[/C][/ROW]
[ROW][C]72[/C][C]11.8[/C][C]11.826[/C][C]11.775[/C][C]0.0509645[/C][C]-0.0259645[/C][/ROW]
[ROW][C]73[/C][C]11.8[/C][C]11.8885[/C][C]11.8375[/C][C]0.0509645[/C][C]-0.0884645[/C][/ROW]
[ROW][C]74[/C][C]11.8[/C][C]11.9458[/C][C]11.8958[/C][C]0.0499228[/C][C]-0.145756[/C][/ROW]
[ROW][C]75[/C][C]11.9[/C][C]11.977[/C][C]11.9542[/C][C]0.0228395[/C][C]-0.0770062[/C][/ROW]
[ROW][C]76[/C][C]12[/C][C]11.9911[/C][C]12.0083[/C][C]-0.0172647[/C][C]0.00893133[/C][/ROW]
[ROW][C]77[/C][C]12.1[/C][C]12.0458[/C][C]12.0667[/C][C]-0.0209105[/C][C]0.0542438[/C][/ROW]
[ROW][C]78[/C][C]12.2[/C][C]12.0978[/C][C]12.1333[/C][C]-0.0354938[/C][C]0.10216[/C][/ROW]
[ROW][C]79[/C][C]12.2[/C][C]12.2042[/C][C]12.2[/C][C]0.00420525[/C][C]-0.00420525[/C][/ROW]
[ROW][C]80[/C][C]12.3[/C][C]12.2774[/C][C]12.2667[/C][C]0.0106867[/C][C]0.0226466[/C][/ROW]
[ROW][C]81[/C][C]12.3[/C][C]12.2574[/C][C]12.3292[/C][C]-0.0717207[/C][C]0.042554[/C][/ROW]
[ROW][C]82[/C][C]12.3[/C][C]12.3533[/C][C]12.3875[/C][C]-0.0342207[/C][C]-0.0532793[/C][/ROW]
[ROW][C]83[/C][C]12.5[/C][C]12.4317[/C][C]12.4417[/C][C]-0.00997299[/C][C]0.0683063[/C][/ROW]
[ROW][C]84[/C][C]12.6[/C][C]12.5426[/C][C]12.4917[/C][C]0.0509645[/C][C]0.0573688[/C][/ROW]
[ROW][C]85[/C][C]12.6[/C][C]12.5968[/C][C]12.5458[/C][C]0.0509645[/C][C]0.00320216[/C][/ROW]
[ROW][C]86[/C][C]12.6[/C][C]12.6541[/C][C]12.6042[/C][C]0.0499228[/C][C]-0.0540895[/C][/ROW]
[ROW][C]87[/C][C]12.6[/C][C]12.6853[/C][C]12.6625[/C][C]0.0228395[/C][C]-0.0853395[/C][/ROW]
[ROW][C]88[/C][C]12.7[/C][C]12.7036[/C][C]12.7208[/C][C]-0.0172647[/C][C]-0.00356867[/C][/ROW]
[ROW][C]89[/C][C]12.7[/C][C]12.7583[/C][C]12.7792[/C][C]-0.0209105[/C][C]-0.0582562[/C][/ROW]
[ROW][C]90[/C][C]12.8[/C][C]12.7978[/C][C]12.8333[/C][C]-0.0354938[/C][C]0.00216049[/C][/ROW]
[ROW][C]91[/C][C]12.9[/C][C]12.8917[/C][C]12.8875[/C][C]0.00420525[/C][C]0.00829475[/C][/ROW]
[ROW][C]92[/C][C]13[/C][C]12.9565[/C][C]12.9458[/C][C]0.0106867[/C][C]0.0434799[/C][/ROW]
[ROW][C]93[/C][C]13[/C][C]12.9324[/C][C]13.0042[/C][C]-0.0717207[/C][C]0.067554[/C][/ROW]
[ROW][C]94[/C][C]13[/C][C]13.0283[/C][C]13.0625[/C][C]-0.0342207[/C][C]-0.0282793[/C][/ROW]
[ROW][C]95[/C][C]13.2[/C][C]13.1109[/C][C]13.1208[/C][C]-0.00997299[/C][C]0.0891397[/C][/ROW]
[ROW][C]96[/C][C]13.2[/C][C]13.2301[/C][C]13.1792[/C][C]0.0509645[/C][C]-0.0301312[/C][/ROW]
[ROW][C]97[/C][C]13.3[/C][C]13.2885[/C][C]13.2375[/C][C]0.0509645[/C][C]0.0115355[/C][/ROW]
[ROW][C]98[/C][C]13.3[/C][C]13.3499[/C][C]13.3[/C][C]0.0499228[/C][C]-0.0499228[/C][/ROW]
[ROW][C]99[/C][C]13.3[/C][C]13.3895[/C][C]13.3667[/C][C]0.0228395[/C][C]-0.0895062[/C][/ROW]
[ROW][C]100[/C][C]13.4[/C][C]13.4327[/C][C]13.45[/C][C]-0.0172647[/C][C]-0.0327353[/C][/ROW]
[ROW][C]101[/C][C]13.4[/C][C]13.5249[/C][C]13.5458[/C][C]-0.0209105[/C][C]-0.124923[/C][/ROW]
[ROW][C]102[/C][C]13.5[/C][C]13.6103[/C][C]13.6458[/C][C]-0.0354938[/C][C]-0.11034[/C][/ROW]
[ROW][C]103[/C][C]13.6[/C][C]13.7584[/C][C]13.7542[/C][C]0.00420525[/C][C]-0.158372[/C][/ROW]
[ROW][C]104[/C][C]13.8[/C][C]13.8815[/C][C]13.8708[/C][C]0.0106867[/C][C]-0.0815201[/C][/ROW]
[ROW][C]105[/C][C]13.8[/C][C]13.9699[/C][C]14.0417[/C][C]-0.0717207[/C][C]-0.169946[/C][/ROW]
[ROW][C]106[/C][C]14.2[/C][C]14.2283[/C][C]14.2625[/C][C]-0.0342207[/C][C]-0.0282793[/C][/ROW]
[ROW][C]107[/C][C]14.3[/C][C]NA[/C][C]NA[/C][C]-0.00997299[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]14.5[/C][C]NA[/C][C]NA[/C][C]0.0509645[/C][C]NA[/C][/ROW]
[ROW][C]109[/C][C]14.6[/C][C]NA[/C][C]NA[/C][C]0.0509645[/C][C]NA[/C][/ROW]
[ROW][C]110[/C][C]14.8[/C][C]NA[/C][C]NA[/C][C]0.0499228[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]15.9[/C][C]NA[/C][C]NA[/C][C]0.0228395[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]16.1[/C][C]NA[/C][C]NA[/C][C]-0.0172647[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270037&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
14.3NANA0.0509645NA
24.9NANA0.0499228NA
35.6NANA0.0228395NA
45.7NANA-0.0172647NA
55.9NANA-0.0209105NA
66.3NANA-0.0354938NA
76.46.183376.179170.004205250.216628
86.46.431526.420830.0106867-0.0315201
96.46.549116.62083-0.0717207-0.149113
106.76.757456.79167-0.0342207-0.057446
116.76.948366.95833-0.00997299-0.24836
127.37.15937.108330.05096450.140702
137.47.292637.241670.05096450.107369
147.67.433267.383330.04992280.166744
157.77.560347.53750.02283950.13966
167.77.666077.68333-0.01726470.0339313
177.97.804097.825-0.02091050.0959105
187.97.918677.95417-0.0354938-0.0186728
1988.070878.066670.00420525-0.0708719
208.28.185698.1750.01068670.0143133
218.38.207458.27917-0.07172070.092554
228.38.353288.3875-0.0342207-0.0532793
238.58.481698.49167-0.009972990.0183063
248.68.64688.595830.0509645-0.0467978
258.88.755138.704170.05096450.0448688
268.88.854098.804170.0499228-0.0540895
2798.914518.891670.02283950.0854938
2898.970248.9875-0.01726470.0297647
299.19.066599.0875-0.02091050.0334105
309.29.139519.175-0.03549380.0604938
319.39.258379.254170.004205250.0416281
329.39.348199.33750.0106867-0.0481867
339.39.349119.42083-0.0717207-0.0491127
349.69.461619.49583-0.03422070.138387
359.69.560869.57083-0.009972990.0391397
369.69.69689.645830.0509645-0.0967978
379.79.775969.7250.0509645-0.0759645
389.99.858269.808330.04992280.0417438
399.99.914519.891670.0228395-0.0145062
409.99.94949.96667-0.0172647-0.049402
411010.016610.0375-0.0209105-0.0165895
4210.110.081210.1167-0.03549380.0188272
4310.310.204210.20.004205250.0957948
4410.310.289910.27920.01068670.0101466
4510.310.282410.3542-0.07172070.017554
4610.410.394910.4292-0.03422070.00505401
4710.510.494210.5042-0.009972990.00580633
4810.610.62610.5750.0509645-0.0259645
4910.710.684310.63330.05096450.0157022
5010.810.741610.69170.04992280.0584105
5110.810.781210.75830.02283950.0188272
5210.810.803610.8208-0.0172647-0.00356867
5310.910.858310.8792-0.02091050.0417438
5410.910.90210.9375-0.0354938-0.00200617
5510.910.995910.99170.00420525-0.0958719
5611.111.052411.04170.01068670.0476466
5711.111.019911.0917-0.07172070.080054
5811.111.107411.1417-0.0342207-0.00744599
5911.211.177511.1875-0.009972990.022473
6011.311.280111.22920.05096450.0198688
6111.311.32611.2750.0509645-0.0259645
6211.411.370811.32080.04992280.0292438
6311.411.385311.36250.02283950.0146605
6411.411.391111.4083-0.01726470.00893133
6511.411.433311.4542-0.0209105-0.0332562
6611.411.460311.4958-0.0354938-0.0603395
6711.511.541711.53750.00420525-0.0417052
6811.611.585711.5750.01068670.0143133
6911.611.540811.6125-0.07172070.0592207
7011.711.624111.6583-0.03422070.0758873
7111.711.702511.7125-0.00997299-0.00252701
7211.811.82611.7750.0509645-0.0259645
7311.811.888511.83750.0509645-0.0884645
7411.811.945811.89580.0499228-0.145756
7511.911.97711.95420.0228395-0.0770062
761211.991112.0083-0.01726470.00893133
7712.112.045812.0667-0.02091050.0542438
7812.212.097812.1333-0.03549380.10216
7912.212.204212.20.00420525-0.00420525
8012.312.277412.26670.01068670.0226466
8112.312.257412.3292-0.07172070.042554
8212.312.353312.3875-0.0342207-0.0532793
8312.512.431712.4417-0.009972990.0683063
8412.612.542612.49170.05096450.0573688
8512.612.596812.54580.05096450.00320216
8612.612.654112.60420.0499228-0.0540895
8712.612.685312.66250.0228395-0.0853395
8812.712.703612.7208-0.0172647-0.00356867
8912.712.758312.7792-0.0209105-0.0582562
9012.812.797812.8333-0.03549380.00216049
9112.912.891712.88750.004205250.00829475
921312.956512.94580.01068670.0434799
931312.932413.0042-0.07172070.067554
941313.028313.0625-0.0342207-0.0282793
9513.213.110913.1208-0.009972990.0891397
9613.213.230113.17920.0509645-0.0301312
9713.313.288513.23750.05096450.0115355
9813.313.349913.30.0499228-0.0499228
9913.313.389513.36670.0228395-0.0895062
10013.413.432713.45-0.0172647-0.0327353
10113.413.524913.5458-0.0209105-0.124923
10213.513.610313.6458-0.0354938-0.11034
10313.613.758413.75420.00420525-0.158372
10413.813.881513.87080.0106867-0.0815201
10513.813.969914.0417-0.0717207-0.169946
10614.214.228314.2625-0.0342207-0.0282793
10714.3NANA-0.00997299NA
10814.5NANA0.0509645NA
10914.6NANA0.0509645NA
11014.8NANA0.0499228NA
11115.9NANA0.0228395NA
11216.1NANA-0.0172647NA



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')