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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 26 Nov 2015 15:42:10 +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/2015/Nov/26/t14485525521unsdn92wrxo5rx.htm/, Retrieved Sun, 19 May 2024 13:22:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284247, Retrieved Sun, 19 May 2024 13:22:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-26 15:42:10] [047b71d569822bc9ea0d1a14ab5e311b] [Current]
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Dataseries X:
72.04
72.26
72.53
72.41
72.91
72.84
72.92
73.03
72.98
72.99
73.15
73.34
73.8
74.46
74.54
74.92
74.19
74.34
74.54
74.4
73.78
74.42
73.54
74.45
76.31
76.44
76.64
76.44
76.49
76.52
78.15
78.54
78.79
78.75
78.28
78.44
78.75
80.54
80.84
81.11
80.47
80.53
80.35
80.29
80.27
80.1
79.8
79.84
79.92
80.26
80.69
84.5
85.45
86.19
86.4
85.98
85.87
86.06
86.43
86.43
86.37
86.84
86.73
90.99
92.61
93.83
94.2
94.01
93.47
93.27
94.3
94.53
94.59
94.69
94.67
96.55
97.14
97.32
97.97
98.49
99.11
99.09
98.76
99.2
99.61
99.54
99.68
100.75
100.38
100.79
100.39
100.39
100.12
100
99.17
99.17
99.59
99.96
99.68
101.03
100.99
101.38
101.84
101.52
101.37
101.22
101.45
101.99




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=284247&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=284247&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284247&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
172.04NANA-0.568472NA
272.26NANA-0.393733NA
372.53NANA-0.597483NA
472.41NANA0.710122NA
572.91NANA0.594444NA
672.84NANA0.69533NA
772.9273.539172.85670.682413-0.61908
873.0373.442673.02170.420903-0.412569
972.9873.239873.19710.0427257-0.259809
1072.9973.173973.3854-0.211493-0.183924
1173.1572.880373.5433-0.6630560.269722
1273.3472.947573.6592-0.7117010.392535
1373.873.220773.7892-0.5684720.579306
1474.4673.5273.9137-0.3937330.939983
1574.5473.406774.0042-0.5974831.13332
1674.9274.807274.09710.7101220.112795
1774.1974.767474.17290.594444-0.577361
1874.3474.930774.23540.69533-0.590747
1974.5475.068774.38620.682413-0.528663
2074.474.994274.57330.420903-0.594236
2173.7874.786174.74330.0427257-1.00606
2274.4274.682774.8942-0.211493-0.262674
2373.5474.390375.0533-0.663056-0.850278
2474.4574.528375.24-0.711701-0.0782986
2576.3174.912875.4813-0.5684721.39722
2676.4475.410475.8042-0.3937331.02957
2776.6475.587976.1854-0.5974831.05207
2876.4477.284776.57460.710122-0.844705
2976.4977.546976.95250.594444-1.05694
3076.5278.011677.31630.69533-1.49158
3178.1578.266677.58420.682413-0.11658
3278.5478.277677.85670.4209030.262431
3378.7978.245278.20250.04272570.544774
3478.7578.360678.5721-0.2114930.38941
3578.2878.269478.9325-0.6630560.0105556
3678.4478.553779.2654-0.711701-0.113715
3778.7578.955779.5242-0.568472-0.205694
3880.5479.29579.6887-0.3937331.24498
3980.8479.225979.8233-0.5974831.61415
4081.1180.651479.94120.7101220.458628
4180.4780.655380.06080.594444-0.185278
4280.5380.877880.18250.69533-0.34783
4380.3580.97280.28960.682413-0.621997
4480.2980.747680.32670.420903-0.457569
4580.2780.351580.30880.0427257-0.0814757
4680.180.232380.4438-0.211493-0.132257
4779.880.129480.7925-0.663056-0.329444
4879.8480.524181.2358-0.711701-0.684132
4979.9281.155381.7238-0.568472-1.23528
5080.2681.819282.2129-0.393733-1.55918
5180.6982.085982.6833-0.597483-1.39585
5284.583.875183.1650.7101220.624878
5385.4584.28483.68960.5944441.16597
5486.1984.935784.24040.695331.25425
5586.485.466284.78380.6824130.933837
5685.9885.747685.32670.4209030.232431
5785.8785.895285.85250.0427257-0.0252257
5886.0686.163186.3746-0.211493-0.10309
5986.4386.280386.9433-0.6630560.149722
6086.4386.848387.56-0.711701-0.418299
6186.3787.634988.2033-0.568472-1.26486
6286.8488.469288.8629-0.393733-1.62918
6386.7388.916789.5142-0.597483-2.18668
6490.9990.841490.13130.7101220.148628
6592.6191.35490.75960.5944441.25597
6693.8392.120391.4250.695331.70967
6794.292.787492.1050.6824131.41259
6894.0193.195592.77460.4209030.814514
6993.4793.475293.43250.0427257-0.00522569
7093.2793.783593.995-0.211493-0.513507
7194.393.752494.4154-0.6630560.547639
7294.5394.037994.7496-0.7117010.492118
7394.5994.483695.0521-0.5684720.106389
7494.6995.002195.3958-0.393733-0.312101
7594.6795.2295.8175-0.597483-0.550017
7696.5597.005196.2950.710122-0.455122
7797.1497.317896.72330.594444-0.177778
7897.3297.799197.10370.69533-0.47908
7997.9798.189997.50750.682413-0.219913
8098.4998.339797.91870.4209030.150347
8199.1198.372398.32960.04272570.737691
8299.0998.501898.7133-0.2114930.58816
8398.7698.360399.0233-0.6630560.399722
8499.298.591299.3029-0.7117010.608785
8599.6198.979999.5483-0.5684720.630139
8699.5499.334699.7283-0.3937330.205399
8799.6899.252199.8496-0.5974830.427899
88100.75100.6499.92960.7101220.110295
89100.38100.57999.98460.594444-0.199028
90100.79100.6961000.695330.0942535
91100.39100.68199.99830.682413-0.290747
92100.39100.436100.0150.420903-0.0459028
93100.12100.075100.0320.04272570.0447743
9410099.8327100.044-0.2114930.167326
9599.1799.4182100.081-0.663056-0.248194
9699.1799.4195100.131-0.711701-0.249549
9799.5999.6478100.216-0.568472-0.0577778
9899.9699.93100.324-0.3937330.0299826
9999.6899.8254100.423-0.597483-0.145434
100101.03101.236100.5260.710122-0.205955
101100.99101.266100.6720.594444-0.276111
102101.38101.579100.8840.69533-0.199497
103101.84NANA0.682413NA
104101.52NANA0.420903NA
105101.37NANA0.0427257NA
106101.22NANA-0.211493NA
107101.45NANA-0.663056NA
108101.99NANA-0.711701NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 72.04 & NA & NA & -0.568472 & NA \tabularnewline
2 & 72.26 & NA & NA & -0.393733 & NA \tabularnewline
3 & 72.53 & NA & NA & -0.597483 & NA \tabularnewline
4 & 72.41 & NA & NA & 0.710122 & NA \tabularnewline
5 & 72.91 & NA & NA & 0.594444 & NA \tabularnewline
6 & 72.84 & NA & NA & 0.69533 & NA \tabularnewline
7 & 72.92 & 73.5391 & 72.8567 & 0.682413 & -0.61908 \tabularnewline
8 & 73.03 & 73.4426 & 73.0217 & 0.420903 & -0.412569 \tabularnewline
9 & 72.98 & 73.2398 & 73.1971 & 0.0427257 & -0.259809 \tabularnewline
10 & 72.99 & 73.1739 & 73.3854 & -0.211493 & -0.183924 \tabularnewline
11 & 73.15 & 72.8803 & 73.5433 & -0.663056 & 0.269722 \tabularnewline
12 & 73.34 & 72.9475 & 73.6592 & -0.711701 & 0.392535 \tabularnewline
13 & 73.8 & 73.2207 & 73.7892 & -0.568472 & 0.579306 \tabularnewline
14 & 74.46 & 73.52 & 73.9137 & -0.393733 & 0.939983 \tabularnewline
15 & 74.54 & 73.4067 & 74.0042 & -0.597483 & 1.13332 \tabularnewline
16 & 74.92 & 74.8072 & 74.0971 & 0.710122 & 0.112795 \tabularnewline
17 & 74.19 & 74.7674 & 74.1729 & 0.594444 & -0.577361 \tabularnewline
18 & 74.34 & 74.9307 & 74.2354 & 0.69533 & -0.590747 \tabularnewline
19 & 74.54 & 75.0687 & 74.3862 & 0.682413 & -0.528663 \tabularnewline
20 & 74.4 & 74.9942 & 74.5733 & 0.420903 & -0.594236 \tabularnewline
21 & 73.78 & 74.7861 & 74.7433 & 0.0427257 & -1.00606 \tabularnewline
22 & 74.42 & 74.6827 & 74.8942 & -0.211493 & -0.262674 \tabularnewline
23 & 73.54 & 74.3903 & 75.0533 & -0.663056 & -0.850278 \tabularnewline
24 & 74.45 & 74.5283 & 75.24 & -0.711701 & -0.0782986 \tabularnewline
25 & 76.31 & 74.9128 & 75.4813 & -0.568472 & 1.39722 \tabularnewline
26 & 76.44 & 75.4104 & 75.8042 & -0.393733 & 1.02957 \tabularnewline
27 & 76.64 & 75.5879 & 76.1854 & -0.597483 & 1.05207 \tabularnewline
28 & 76.44 & 77.2847 & 76.5746 & 0.710122 & -0.844705 \tabularnewline
29 & 76.49 & 77.5469 & 76.9525 & 0.594444 & -1.05694 \tabularnewline
30 & 76.52 & 78.0116 & 77.3163 & 0.69533 & -1.49158 \tabularnewline
31 & 78.15 & 78.2666 & 77.5842 & 0.682413 & -0.11658 \tabularnewline
32 & 78.54 & 78.2776 & 77.8567 & 0.420903 & 0.262431 \tabularnewline
33 & 78.79 & 78.2452 & 78.2025 & 0.0427257 & 0.544774 \tabularnewline
34 & 78.75 & 78.3606 & 78.5721 & -0.211493 & 0.38941 \tabularnewline
35 & 78.28 & 78.2694 & 78.9325 & -0.663056 & 0.0105556 \tabularnewline
36 & 78.44 & 78.5537 & 79.2654 & -0.711701 & -0.113715 \tabularnewline
37 & 78.75 & 78.9557 & 79.5242 & -0.568472 & -0.205694 \tabularnewline
38 & 80.54 & 79.295 & 79.6887 & -0.393733 & 1.24498 \tabularnewline
39 & 80.84 & 79.2259 & 79.8233 & -0.597483 & 1.61415 \tabularnewline
40 & 81.11 & 80.6514 & 79.9412 & 0.710122 & 0.458628 \tabularnewline
41 & 80.47 & 80.6553 & 80.0608 & 0.594444 & -0.185278 \tabularnewline
42 & 80.53 & 80.8778 & 80.1825 & 0.69533 & -0.34783 \tabularnewline
43 & 80.35 & 80.972 & 80.2896 & 0.682413 & -0.621997 \tabularnewline
44 & 80.29 & 80.7476 & 80.3267 & 0.420903 & -0.457569 \tabularnewline
45 & 80.27 & 80.3515 & 80.3088 & 0.0427257 & -0.0814757 \tabularnewline
46 & 80.1 & 80.2323 & 80.4438 & -0.211493 & -0.132257 \tabularnewline
47 & 79.8 & 80.1294 & 80.7925 & -0.663056 & -0.329444 \tabularnewline
48 & 79.84 & 80.5241 & 81.2358 & -0.711701 & -0.684132 \tabularnewline
49 & 79.92 & 81.1553 & 81.7238 & -0.568472 & -1.23528 \tabularnewline
50 & 80.26 & 81.8192 & 82.2129 & -0.393733 & -1.55918 \tabularnewline
51 & 80.69 & 82.0859 & 82.6833 & -0.597483 & -1.39585 \tabularnewline
52 & 84.5 & 83.8751 & 83.165 & 0.710122 & 0.624878 \tabularnewline
53 & 85.45 & 84.284 & 83.6896 & 0.594444 & 1.16597 \tabularnewline
54 & 86.19 & 84.9357 & 84.2404 & 0.69533 & 1.25425 \tabularnewline
55 & 86.4 & 85.4662 & 84.7838 & 0.682413 & 0.933837 \tabularnewline
56 & 85.98 & 85.7476 & 85.3267 & 0.420903 & 0.232431 \tabularnewline
57 & 85.87 & 85.8952 & 85.8525 & 0.0427257 & -0.0252257 \tabularnewline
58 & 86.06 & 86.1631 & 86.3746 & -0.211493 & -0.10309 \tabularnewline
59 & 86.43 & 86.2803 & 86.9433 & -0.663056 & 0.149722 \tabularnewline
60 & 86.43 & 86.8483 & 87.56 & -0.711701 & -0.418299 \tabularnewline
61 & 86.37 & 87.6349 & 88.2033 & -0.568472 & -1.26486 \tabularnewline
62 & 86.84 & 88.4692 & 88.8629 & -0.393733 & -1.62918 \tabularnewline
63 & 86.73 & 88.9167 & 89.5142 & -0.597483 & -2.18668 \tabularnewline
64 & 90.99 & 90.8414 & 90.1313 & 0.710122 & 0.148628 \tabularnewline
65 & 92.61 & 91.354 & 90.7596 & 0.594444 & 1.25597 \tabularnewline
66 & 93.83 & 92.1203 & 91.425 & 0.69533 & 1.70967 \tabularnewline
67 & 94.2 & 92.7874 & 92.105 & 0.682413 & 1.41259 \tabularnewline
68 & 94.01 & 93.1955 & 92.7746 & 0.420903 & 0.814514 \tabularnewline
69 & 93.47 & 93.4752 & 93.4325 & 0.0427257 & -0.00522569 \tabularnewline
70 & 93.27 & 93.7835 & 93.995 & -0.211493 & -0.513507 \tabularnewline
71 & 94.3 & 93.7524 & 94.4154 & -0.663056 & 0.547639 \tabularnewline
72 & 94.53 & 94.0379 & 94.7496 & -0.711701 & 0.492118 \tabularnewline
73 & 94.59 & 94.4836 & 95.0521 & -0.568472 & 0.106389 \tabularnewline
74 & 94.69 & 95.0021 & 95.3958 & -0.393733 & -0.312101 \tabularnewline
75 & 94.67 & 95.22 & 95.8175 & -0.597483 & -0.550017 \tabularnewline
76 & 96.55 & 97.0051 & 96.295 & 0.710122 & -0.455122 \tabularnewline
77 & 97.14 & 97.3178 & 96.7233 & 0.594444 & -0.177778 \tabularnewline
78 & 97.32 & 97.7991 & 97.1037 & 0.69533 & -0.47908 \tabularnewline
79 & 97.97 & 98.1899 & 97.5075 & 0.682413 & -0.219913 \tabularnewline
80 & 98.49 & 98.3397 & 97.9187 & 0.420903 & 0.150347 \tabularnewline
81 & 99.11 & 98.3723 & 98.3296 & 0.0427257 & 0.737691 \tabularnewline
82 & 99.09 & 98.5018 & 98.7133 & -0.211493 & 0.58816 \tabularnewline
83 & 98.76 & 98.3603 & 99.0233 & -0.663056 & 0.399722 \tabularnewline
84 & 99.2 & 98.5912 & 99.3029 & -0.711701 & 0.608785 \tabularnewline
85 & 99.61 & 98.9799 & 99.5483 & -0.568472 & 0.630139 \tabularnewline
86 & 99.54 & 99.3346 & 99.7283 & -0.393733 & 0.205399 \tabularnewline
87 & 99.68 & 99.2521 & 99.8496 & -0.597483 & 0.427899 \tabularnewline
88 & 100.75 & 100.64 & 99.9296 & 0.710122 & 0.110295 \tabularnewline
89 & 100.38 & 100.579 & 99.9846 & 0.594444 & -0.199028 \tabularnewline
90 & 100.79 & 100.696 & 100 & 0.69533 & 0.0942535 \tabularnewline
91 & 100.39 & 100.681 & 99.9983 & 0.682413 & -0.290747 \tabularnewline
92 & 100.39 & 100.436 & 100.015 & 0.420903 & -0.0459028 \tabularnewline
93 & 100.12 & 100.075 & 100.032 & 0.0427257 & 0.0447743 \tabularnewline
94 & 100 & 99.8327 & 100.044 & -0.211493 & 0.167326 \tabularnewline
95 & 99.17 & 99.4182 & 100.081 & -0.663056 & -0.248194 \tabularnewline
96 & 99.17 & 99.4195 & 100.131 & -0.711701 & -0.249549 \tabularnewline
97 & 99.59 & 99.6478 & 100.216 & -0.568472 & -0.0577778 \tabularnewline
98 & 99.96 & 99.93 & 100.324 & -0.393733 & 0.0299826 \tabularnewline
99 & 99.68 & 99.8254 & 100.423 & -0.597483 & -0.145434 \tabularnewline
100 & 101.03 & 101.236 & 100.526 & 0.710122 & -0.205955 \tabularnewline
101 & 100.99 & 101.266 & 100.672 & 0.594444 & -0.276111 \tabularnewline
102 & 101.38 & 101.579 & 100.884 & 0.69533 & -0.199497 \tabularnewline
103 & 101.84 & NA & NA & 0.682413 & NA \tabularnewline
104 & 101.52 & NA & NA & 0.420903 & NA \tabularnewline
105 & 101.37 & NA & NA & 0.0427257 & NA \tabularnewline
106 & 101.22 & NA & NA & -0.211493 & NA \tabularnewline
107 & 101.45 & NA & NA & -0.663056 & NA \tabularnewline
108 & 101.99 & NA & NA & -0.711701 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284247&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]72.04[/C][C]NA[/C][C]NA[/C][C]-0.568472[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]72.26[/C][C]NA[/C][C]NA[/C][C]-0.393733[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]72.53[/C][C]NA[/C][C]NA[/C][C]-0.597483[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]72.41[/C][C]NA[/C][C]NA[/C][C]0.710122[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]72.91[/C][C]NA[/C][C]NA[/C][C]0.594444[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]72.84[/C][C]NA[/C][C]NA[/C][C]0.69533[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]72.92[/C][C]73.5391[/C][C]72.8567[/C][C]0.682413[/C][C]-0.61908[/C][/ROW]
[ROW][C]8[/C][C]73.03[/C][C]73.4426[/C][C]73.0217[/C][C]0.420903[/C][C]-0.412569[/C][/ROW]
[ROW][C]9[/C][C]72.98[/C][C]73.2398[/C][C]73.1971[/C][C]0.0427257[/C][C]-0.259809[/C][/ROW]
[ROW][C]10[/C][C]72.99[/C][C]73.1739[/C][C]73.3854[/C][C]-0.211493[/C][C]-0.183924[/C][/ROW]
[ROW][C]11[/C][C]73.15[/C][C]72.8803[/C][C]73.5433[/C][C]-0.663056[/C][C]0.269722[/C][/ROW]
[ROW][C]12[/C][C]73.34[/C][C]72.9475[/C][C]73.6592[/C][C]-0.711701[/C][C]0.392535[/C][/ROW]
[ROW][C]13[/C][C]73.8[/C][C]73.2207[/C][C]73.7892[/C][C]-0.568472[/C][C]0.579306[/C][/ROW]
[ROW][C]14[/C][C]74.46[/C][C]73.52[/C][C]73.9137[/C][C]-0.393733[/C][C]0.939983[/C][/ROW]
[ROW][C]15[/C][C]74.54[/C][C]73.4067[/C][C]74.0042[/C][C]-0.597483[/C][C]1.13332[/C][/ROW]
[ROW][C]16[/C][C]74.92[/C][C]74.8072[/C][C]74.0971[/C][C]0.710122[/C][C]0.112795[/C][/ROW]
[ROW][C]17[/C][C]74.19[/C][C]74.7674[/C][C]74.1729[/C][C]0.594444[/C][C]-0.577361[/C][/ROW]
[ROW][C]18[/C][C]74.34[/C][C]74.9307[/C][C]74.2354[/C][C]0.69533[/C][C]-0.590747[/C][/ROW]
[ROW][C]19[/C][C]74.54[/C][C]75.0687[/C][C]74.3862[/C][C]0.682413[/C][C]-0.528663[/C][/ROW]
[ROW][C]20[/C][C]74.4[/C][C]74.9942[/C][C]74.5733[/C][C]0.420903[/C][C]-0.594236[/C][/ROW]
[ROW][C]21[/C][C]73.78[/C][C]74.7861[/C][C]74.7433[/C][C]0.0427257[/C][C]-1.00606[/C][/ROW]
[ROW][C]22[/C][C]74.42[/C][C]74.6827[/C][C]74.8942[/C][C]-0.211493[/C][C]-0.262674[/C][/ROW]
[ROW][C]23[/C][C]73.54[/C][C]74.3903[/C][C]75.0533[/C][C]-0.663056[/C][C]-0.850278[/C][/ROW]
[ROW][C]24[/C][C]74.45[/C][C]74.5283[/C][C]75.24[/C][C]-0.711701[/C][C]-0.0782986[/C][/ROW]
[ROW][C]25[/C][C]76.31[/C][C]74.9128[/C][C]75.4813[/C][C]-0.568472[/C][C]1.39722[/C][/ROW]
[ROW][C]26[/C][C]76.44[/C][C]75.4104[/C][C]75.8042[/C][C]-0.393733[/C][C]1.02957[/C][/ROW]
[ROW][C]27[/C][C]76.64[/C][C]75.5879[/C][C]76.1854[/C][C]-0.597483[/C][C]1.05207[/C][/ROW]
[ROW][C]28[/C][C]76.44[/C][C]77.2847[/C][C]76.5746[/C][C]0.710122[/C][C]-0.844705[/C][/ROW]
[ROW][C]29[/C][C]76.49[/C][C]77.5469[/C][C]76.9525[/C][C]0.594444[/C][C]-1.05694[/C][/ROW]
[ROW][C]30[/C][C]76.52[/C][C]78.0116[/C][C]77.3163[/C][C]0.69533[/C][C]-1.49158[/C][/ROW]
[ROW][C]31[/C][C]78.15[/C][C]78.2666[/C][C]77.5842[/C][C]0.682413[/C][C]-0.11658[/C][/ROW]
[ROW][C]32[/C][C]78.54[/C][C]78.2776[/C][C]77.8567[/C][C]0.420903[/C][C]0.262431[/C][/ROW]
[ROW][C]33[/C][C]78.79[/C][C]78.2452[/C][C]78.2025[/C][C]0.0427257[/C][C]0.544774[/C][/ROW]
[ROW][C]34[/C][C]78.75[/C][C]78.3606[/C][C]78.5721[/C][C]-0.211493[/C][C]0.38941[/C][/ROW]
[ROW][C]35[/C][C]78.28[/C][C]78.2694[/C][C]78.9325[/C][C]-0.663056[/C][C]0.0105556[/C][/ROW]
[ROW][C]36[/C][C]78.44[/C][C]78.5537[/C][C]79.2654[/C][C]-0.711701[/C][C]-0.113715[/C][/ROW]
[ROW][C]37[/C][C]78.75[/C][C]78.9557[/C][C]79.5242[/C][C]-0.568472[/C][C]-0.205694[/C][/ROW]
[ROW][C]38[/C][C]80.54[/C][C]79.295[/C][C]79.6887[/C][C]-0.393733[/C][C]1.24498[/C][/ROW]
[ROW][C]39[/C][C]80.84[/C][C]79.2259[/C][C]79.8233[/C][C]-0.597483[/C][C]1.61415[/C][/ROW]
[ROW][C]40[/C][C]81.11[/C][C]80.6514[/C][C]79.9412[/C][C]0.710122[/C][C]0.458628[/C][/ROW]
[ROW][C]41[/C][C]80.47[/C][C]80.6553[/C][C]80.0608[/C][C]0.594444[/C][C]-0.185278[/C][/ROW]
[ROW][C]42[/C][C]80.53[/C][C]80.8778[/C][C]80.1825[/C][C]0.69533[/C][C]-0.34783[/C][/ROW]
[ROW][C]43[/C][C]80.35[/C][C]80.972[/C][C]80.2896[/C][C]0.682413[/C][C]-0.621997[/C][/ROW]
[ROW][C]44[/C][C]80.29[/C][C]80.7476[/C][C]80.3267[/C][C]0.420903[/C][C]-0.457569[/C][/ROW]
[ROW][C]45[/C][C]80.27[/C][C]80.3515[/C][C]80.3088[/C][C]0.0427257[/C][C]-0.0814757[/C][/ROW]
[ROW][C]46[/C][C]80.1[/C][C]80.2323[/C][C]80.4438[/C][C]-0.211493[/C][C]-0.132257[/C][/ROW]
[ROW][C]47[/C][C]79.8[/C][C]80.1294[/C][C]80.7925[/C][C]-0.663056[/C][C]-0.329444[/C][/ROW]
[ROW][C]48[/C][C]79.84[/C][C]80.5241[/C][C]81.2358[/C][C]-0.711701[/C][C]-0.684132[/C][/ROW]
[ROW][C]49[/C][C]79.92[/C][C]81.1553[/C][C]81.7238[/C][C]-0.568472[/C][C]-1.23528[/C][/ROW]
[ROW][C]50[/C][C]80.26[/C][C]81.8192[/C][C]82.2129[/C][C]-0.393733[/C][C]-1.55918[/C][/ROW]
[ROW][C]51[/C][C]80.69[/C][C]82.0859[/C][C]82.6833[/C][C]-0.597483[/C][C]-1.39585[/C][/ROW]
[ROW][C]52[/C][C]84.5[/C][C]83.8751[/C][C]83.165[/C][C]0.710122[/C][C]0.624878[/C][/ROW]
[ROW][C]53[/C][C]85.45[/C][C]84.284[/C][C]83.6896[/C][C]0.594444[/C][C]1.16597[/C][/ROW]
[ROW][C]54[/C][C]86.19[/C][C]84.9357[/C][C]84.2404[/C][C]0.69533[/C][C]1.25425[/C][/ROW]
[ROW][C]55[/C][C]86.4[/C][C]85.4662[/C][C]84.7838[/C][C]0.682413[/C][C]0.933837[/C][/ROW]
[ROW][C]56[/C][C]85.98[/C][C]85.7476[/C][C]85.3267[/C][C]0.420903[/C][C]0.232431[/C][/ROW]
[ROW][C]57[/C][C]85.87[/C][C]85.8952[/C][C]85.8525[/C][C]0.0427257[/C][C]-0.0252257[/C][/ROW]
[ROW][C]58[/C][C]86.06[/C][C]86.1631[/C][C]86.3746[/C][C]-0.211493[/C][C]-0.10309[/C][/ROW]
[ROW][C]59[/C][C]86.43[/C][C]86.2803[/C][C]86.9433[/C][C]-0.663056[/C][C]0.149722[/C][/ROW]
[ROW][C]60[/C][C]86.43[/C][C]86.8483[/C][C]87.56[/C][C]-0.711701[/C][C]-0.418299[/C][/ROW]
[ROW][C]61[/C][C]86.37[/C][C]87.6349[/C][C]88.2033[/C][C]-0.568472[/C][C]-1.26486[/C][/ROW]
[ROW][C]62[/C][C]86.84[/C][C]88.4692[/C][C]88.8629[/C][C]-0.393733[/C][C]-1.62918[/C][/ROW]
[ROW][C]63[/C][C]86.73[/C][C]88.9167[/C][C]89.5142[/C][C]-0.597483[/C][C]-2.18668[/C][/ROW]
[ROW][C]64[/C][C]90.99[/C][C]90.8414[/C][C]90.1313[/C][C]0.710122[/C][C]0.148628[/C][/ROW]
[ROW][C]65[/C][C]92.61[/C][C]91.354[/C][C]90.7596[/C][C]0.594444[/C][C]1.25597[/C][/ROW]
[ROW][C]66[/C][C]93.83[/C][C]92.1203[/C][C]91.425[/C][C]0.69533[/C][C]1.70967[/C][/ROW]
[ROW][C]67[/C][C]94.2[/C][C]92.7874[/C][C]92.105[/C][C]0.682413[/C][C]1.41259[/C][/ROW]
[ROW][C]68[/C][C]94.01[/C][C]93.1955[/C][C]92.7746[/C][C]0.420903[/C][C]0.814514[/C][/ROW]
[ROW][C]69[/C][C]93.47[/C][C]93.4752[/C][C]93.4325[/C][C]0.0427257[/C][C]-0.00522569[/C][/ROW]
[ROW][C]70[/C][C]93.27[/C][C]93.7835[/C][C]93.995[/C][C]-0.211493[/C][C]-0.513507[/C][/ROW]
[ROW][C]71[/C][C]94.3[/C][C]93.7524[/C][C]94.4154[/C][C]-0.663056[/C][C]0.547639[/C][/ROW]
[ROW][C]72[/C][C]94.53[/C][C]94.0379[/C][C]94.7496[/C][C]-0.711701[/C][C]0.492118[/C][/ROW]
[ROW][C]73[/C][C]94.59[/C][C]94.4836[/C][C]95.0521[/C][C]-0.568472[/C][C]0.106389[/C][/ROW]
[ROW][C]74[/C][C]94.69[/C][C]95.0021[/C][C]95.3958[/C][C]-0.393733[/C][C]-0.312101[/C][/ROW]
[ROW][C]75[/C][C]94.67[/C][C]95.22[/C][C]95.8175[/C][C]-0.597483[/C][C]-0.550017[/C][/ROW]
[ROW][C]76[/C][C]96.55[/C][C]97.0051[/C][C]96.295[/C][C]0.710122[/C][C]-0.455122[/C][/ROW]
[ROW][C]77[/C][C]97.14[/C][C]97.3178[/C][C]96.7233[/C][C]0.594444[/C][C]-0.177778[/C][/ROW]
[ROW][C]78[/C][C]97.32[/C][C]97.7991[/C][C]97.1037[/C][C]0.69533[/C][C]-0.47908[/C][/ROW]
[ROW][C]79[/C][C]97.97[/C][C]98.1899[/C][C]97.5075[/C][C]0.682413[/C][C]-0.219913[/C][/ROW]
[ROW][C]80[/C][C]98.49[/C][C]98.3397[/C][C]97.9187[/C][C]0.420903[/C][C]0.150347[/C][/ROW]
[ROW][C]81[/C][C]99.11[/C][C]98.3723[/C][C]98.3296[/C][C]0.0427257[/C][C]0.737691[/C][/ROW]
[ROW][C]82[/C][C]99.09[/C][C]98.5018[/C][C]98.7133[/C][C]-0.211493[/C][C]0.58816[/C][/ROW]
[ROW][C]83[/C][C]98.76[/C][C]98.3603[/C][C]99.0233[/C][C]-0.663056[/C][C]0.399722[/C][/ROW]
[ROW][C]84[/C][C]99.2[/C][C]98.5912[/C][C]99.3029[/C][C]-0.711701[/C][C]0.608785[/C][/ROW]
[ROW][C]85[/C][C]99.61[/C][C]98.9799[/C][C]99.5483[/C][C]-0.568472[/C][C]0.630139[/C][/ROW]
[ROW][C]86[/C][C]99.54[/C][C]99.3346[/C][C]99.7283[/C][C]-0.393733[/C][C]0.205399[/C][/ROW]
[ROW][C]87[/C][C]99.68[/C][C]99.2521[/C][C]99.8496[/C][C]-0.597483[/C][C]0.427899[/C][/ROW]
[ROW][C]88[/C][C]100.75[/C][C]100.64[/C][C]99.9296[/C][C]0.710122[/C][C]0.110295[/C][/ROW]
[ROW][C]89[/C][C]100.38[/C][C]100.579[/C][C]99.9846[/C][C]0.594444[/C][C]-0.199028[/C][/ROW]
[ROW][C]90[/C][C]100.79[/C][C]100.696[/C][C]100[/C][C]0.69533[/C][C]0.0942535[/C][/ROW]
[ROW][C]91[/C][C]100.39[/C][C]100.681[/C][C]99.9983[/C][C]0.682413[/C][C]-0.290747[/C][/ROW]
[ROW][C]92[/C][C]100.39[/C][C]100.436[/C][C]100.015[/C][C]0.420903[/C][C]-0.0459028[/C][/ROW]
[ROW][C]93[/C][C]100.12[/C][C]100.075[/C][C]100.032[/C][C]0.0427257[/C][C]0.0447743[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]99.8327[/C][C]100.044[/C][C]-0.211493[/C][C]0.167326[/C][/ROW]
[ROW][C]95[/C][C]99.17[/C][C]99.4182[/C][C]100.081[/C][C]-0.663056[/C][C]-0.248194[/C][/ROW]
[ROW][C]96[/C][C]99.17[/C][C]99.4195[/C][C]100.131[/C][C]-0.711701[/C][C]-0.249549[/C][/ROW]
[ROW][C]97[/C][C]99.59[/C][C]99.6478[/C][C]100.216[/C][C]-0.568472[/C][C]-0.0577778[/C][/ROW]
[ROW][C]98[/C][C]99.96[/C][C]99.93[/C][C]100.324[/C][C]-0.393733[/C][C]0.0299826[/C][/ROW]
[ROW][C]99[/C][C]99.68[/C][C]99.8254[/C][C]100.423[/C][C]-0.597483[/C][C]-0.145434[/C][/ROW]
[ROW][C]100[/C][C]101.03[/C][C]101.236[/C][C]100.526[/C][C]0.710122[/C][C]-0.205955[/C][/ROW]
[ROW][C]101[/C][C]100.99[/C][C]101.266[/C][C]100.672[/C][C]0.594444[/C][C]-0.276111[/C][/ROW]
[ROW][C]102[/C][C]101.38[/C][C]101.579[/C][C]100.884[/C][C]0.69533[/C][C]-0.199497[/C][/ROW]
[ROW][C]103[/C][C]101.84[/C][C]NA[/C][C]NA[/C][C]0.682413[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.52[/C][C]NA[/C][C]NA[/C][C]0.420903[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.37[/C][C]NA[/C][C]NA[/C][C]0.0427257[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.22[/C][C]NA[/C][C]NA[/C][C]-0.211493[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.45[/C][C]NA[/C][C]NA[/C][C]-0.663056[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.99[/C][C]NA[/C][C]NA[/C][C]-0.711701[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284247&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284247&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
172.04NANA-0.568472NA
272.26NANA-0.393733NA
372.53NANA-0.597483NA
472.41NANA0.710122NA
572.91NANA0.594444NA
672.84NANA0.69533NA
772.9273.539172.85670.682413-0.61908
873.0373.442673.02170.420903-0.412569
972.9873.239873.19710.0427257-0.259809
1072.9973.173973.3854-0.211493-0.183924
1173.1572.880373.5433-0.6630560.269722
1273.3472.947573.6592-0.7117010.392535
1373.873.220773.7892-0.5684720.579306
1474.4673.5273.9137-0.3937330.939983
1574.5473.406774.0042-0.5974831.13332
1674.9274.807274.09710.7101220.112795
1774.1974.767474.17290.594444-0.577361
1874.3474.930774.23540.69533-0.590747
1974.5475.068774.38620.682413-0.528663
2074.474.994274.57330.420903-0.594236
2173.7874.786174.74330.0427257-1.00606
2274.4274.682774.8942-0.211493-0.262674
2373.5474.390375.0533-0.663056-0.850278
2474.4574.528375.24-0.711701-0.0782986
2576.3174.912875.4813-0.5684721.39722
2676.4475.410475.8042-0.3937331.02957
2776.6475.587976.1854-0.5974831.05207
2876.4477.284776.57460.710122-0.844705
2976.4977.546976.95250.594444-1.05694
3076.5278.011677.31630.69533-1.49158
3178.1578.266677.58420.682413-0.11658
3278.5478.277677.85670.4209030.262431
3378.7978.245278.20250.04272570.544774
3478.7578.360678.5721-0.2114930.38941
3578.2878.269478.9325-0.6630560.0105556
3678.4478.553779.2654-0.711701-0.113715
3778.7578.955779.5242-0.568472-0.205694
3880.5479.29579.6887-0.3937331.24498
3980.8479.225979.8233-0.5974831.61415
4081.1180.651479.94120.7101220.458628
4180.4780.655380.06080.594444-0.185278
4280.5380.877880.18250.69533-0.34783
4380.3580.97280.28960.682413-0.621997
4480.2980.747680.32670.420903-0.457569
4580.2780.351580.30880.0427257-0.0814757
4680.180.232380.4438-0.211493-0.132257
4779.880.129480.7925-0.663056-0.329444
4879.8480.524181.2358-0.711701-0.684132
4979.9281.155381.7238-0.568472-1.23528
5080.2681.819282.2129-0.393733-1.55918
5180.6982.085982.6833-0.597483-1.39585
5284.583.875183.1650.7101220.624878
5385.4584.28483.68960.5944441.16597
5486.1984.935784.24040.695331.25425
5586.485.466284.78380.6824130.933837
5685.9885.747685.32670.4209030.232431
5785.8785.895285.85250.0427257-0.0252257
5886.0686.163186.3746-0.211493-0.10309
5986.4386.280386.9433-0.6630560.149722
6086.4386.848387.56-0.711701-0.418299
6186.3787.634988.2033-0.568472-1.26486
6286.8488.469288.8629-0.393733-1.62918
6386.7388.916789.5142-0.597483-2.18668
6490.9990.841490.13130.7101220.148628
6592.6191.35490.75960.5944441.25597
6693.8392.120391.4250.695331.70967
6794.292.787492.1050.6824131.41259
6894.0193.195592.77460.4209030.814514
6993.4793.475293.43250.0427257-0.00522569
7093.2793.783593.995-0.211493-0.513507
7194.393.752494.4154-0.6630560.547639
7294.5394.037994.7496-0.7117010.492118
7394.5994.483695.0521-0.5684720.106389
7494.6995.002195.3958-0.393733-0.312101
7594.6795.2295.8175-0.597483-0.550017
7696.5597.005196.2950.710122-0.455122
7797.1497.317896.72330.594444-0.177778
7897.3297.799197.10370.69533-0.47908
7997.9798.189997.50750.682413-0.219913
8098.4998.339797.91870.4209030.150347
8199.1198.372398.32960.04272570.737691
8299.0998.501898.7133-0.2114930.58816
8398.7698.360399.0233-0.6630560.399722
8499.298.591299.3029-0.7117010.608785
8599.6198.979999.5483-0.5684720.630139
8699.5499.334699.7283-0.3937330.205399
8799.6899.252199.8496-0.5974830.427899
88100.75100.6499.92960.7101220.110295
89100.38100.57999.98460.594444-0.199028
90100.79100.6961000.695330.0942535
91100.39100.68199.99830.682413-0.290747
92100.39100.436100.0150.420903-0.0459028
93100.12100.075100.0320.04272570.0447743
9410099.8327100.044-0.2114930.167326
9599.1799.4182100.081-0.663056-0.248194
9699.1799.4195100.131-0.711701-0.249549
9799.5999.6478100.216-0.568472-0.0577778
9899.9699.93100.324-0.3937330.0299826
9999.6899.8254100.423-0.597483-0.145434
100101.03101.236100.5260.710122-0.205955
101100.99101.266100.6720.594444-0.276111
102101.38101.579100.8840.69533-0.199497
103101.84NANA0.682413NA
104101.52NANA0.420903NA
105101.37NANA0.0427257NA
106101.22NANA-0.211493NA
107101.45NANA-0.663056NA
108101.99NANA-0.711701NA



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')