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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 25 Nov 2015 14:26:52 +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/25/t1448461699ka2v3xqmagze6ry.htm/, Retrieved Wed, 15 May 2024 23:39:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284132, Retrieved Wed, 15 May 2024 23:39:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-25 14:26:52] [bd97b182bc123d4050d70da6fa7efb72] [Current]
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Dataseries X:
98.41
98.94
99.09
100.45
101.99
102.35
102.69
102.6
102.62
102.73
102.74
103.45
103.9
103.45
103.5
103.33
103.56
103.58
103.86
103.77
103.73
104.21
104.55
104.5
104.66
104.99
104.99
105.62
106.52
106.1
106.73
106.63
106.72
106.5
107.12
106.84
107.25
108.19
108.21
107.98
109.12
109.79
109.69
109.69
109.24
108.55
106.47
107.27
105.95
108.55
110.81
111.54
110.38
106.67
106.45
105.44
105.37
103.72
106.57
108.54
110.36
106.64
103.45
101.36
101.9
100.86
100.37
100.16
99.5
99.52
99.2
99.35
99.37
99.85
99.76
100.07
99.77
99.93
99.16
99.4
99.81
99.67
99.37
99.49
99.28
99.33
99.19
98.11
99.12
99.06
97.41
98.45
100.33
103.18
103.06
103.48
102.8
103.92
103.9
103.96
103.62
103.83
104.09
104.07
103.22
104.01
104.01
104.24




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=284132&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=284132&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284132&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
198.41NANA0.331931NA
298.94NANA0.485734NA
399.09NANA0.336202NA
4100.45NANA0.0964106NA
5101.99NANA0.335629NA
6102.35NANA-0.19635NA
7102.69101.366101.734-0.3682251.32447
8102.6101.706102.15-0.4445270.89411
9102.62102.174102.522-0.3480160.445933
10102.73102.529102.826-0.296350.200516
11102.74102.813103.011-0.198121-0.0731293
12103.45103.394103.1280.2656810.0564019
13103.9103.56103.2280.3319310.340152
14103.45103.811103.3250.485734-0.36115
15103.5103.757103.420.336202-0.256619
16103.33103.625103.5280.0964106-0.294744
17103.56104.001103.6650.335629-0.441046
18103.58103.588103.785-0.19635-0.00823351
19103.86103.492103.86-0.3682250.368225
20103.77103.511103.956-0.4445270.258694
21103.73103.734104.082-0.348016-0.00406684
22104.21103.943104.24-0.296350.266766
23104.55104.26104.458-0.1981210.289787
24104.5104.952104.6870.265681-0.452348
25104.66105.243104.9110.331931-0.583181
26104.99105.636105.150.485734-0.645734
27104.99105.73105.3940.336202-0.739952
28105.62105.71105.6140.0964106-0.0901606
29106.52106.152105.8160.3356290.368121
30106.1105.824106.021-0.196350.275516
31106.73105.858106.226-0.3682250.871975
32106.63106.023106.467-0.4445270.607027
33106.72106.387106.735-0.3480160.333016
34106.5106.671106.968-0.29635-0.17115
35107.12106.976107.174-0.1981210.143954
36106.84107.702107.4360.265681-0.861931
37107.25108.045107.7130.331931-0.795265
38108.19108.45107.9640.485734-0.2599
39108.21108.533108.1970.336202-0.322869
40107.98108.483108.3870.0964106-0.503494
41109.12108.781108.4450.3356290.338954
42109.79108.24108.436-0.196351.5501
43109.69108.032108.4-0.3682251.65822
44109.69107.916108.361-0.4445271.77369
45109.24108.136108.484-0.3480161.10385
46108.55108.444108.741-0.296350.105516
47106.47108.744108.942-0.198121-2.27355
48107.27109.13108.8640.265681-1.85985
49105.95108.931108.5990.331931-2.9811
50108.55108.773108.2870.485734-0.222817
51110.81108.285107.9490.3362022.52505
52111.54107.683107.5860.09641063.85734
53110.38107.725107.3890.3356292.6552
54106.67107.25107.446-0.19635-0.5799
55106.45107.315107.683-0.368225-0.864692
56105.44107.343107.787-0.444527-1.90256
57105.37107.053107.401-0.348016-1.68282
58103.72106.374106.67-0.29635-2.65365
59106.57105.694105.892-0.1981210.875621
60108.54105.563105.2970.2656812.97724
61110.36105.134104.8020.3319315.2264
62106.64104.814104.3280.4857341.82593
63103.45104.2103.8640.336202-0.749952
64101.36103.541103.4440.0964106-2.18058
65101.9103.298102.9620.335629-1.39771
66100.86102.076102.272-0.19635-1.21573
67100.37101.063101.431-0.368225-0.693025
68100.16100.246100.69-0.444527-0.0858898
6999.599.9057100.254-0.348016-0.405734
7099.5299.7499100.046-0.29635-0.2299
7199.299.705699.9038-0.198121-0.505629
7299.35100.04299.77620.265681-0.691931
7399.37100.01999.68710.331931-0.649015
7499.85100.09199.6050.485734-0.240734
7599.7699.922599.58620.336202-0.162452
76100.0799.701899.60540.09641060.368173
7799.7799.954499.61870.335629-0.184379
7899.9399.435399.6317-0.196350.494683
7999.1699.265599.6338-0.368225-0.105525
8099.499.163899.6083-0.4445270.236194
8199.8199.214999.5629-0.3480160.5951
8299.6799.161299.4575-0.296350.50885
8399.3799.150699.3488-0.1981210.219371
8499.4999.551199.28540.265681-0.0610981
8599.2899.508299.17620.331931-0.228181
8699.3399.549599.06370.485734-0.219484
8799.1999.38299.04580.336202-0.192036
8898.1199.310299.21380.0964106-1.20016
8999.1299.849499.51380.335629-0.729379
9099.0699.637499.8338-0.19635-0.5774
9197.4199.7784100.147-0.368225-2.36844
9298.45100.04100.485-0.444527-1.59006
93100.33100.524100.872-0.348016-0.194067
94103.18101.016101.312-0.296352.16427
95103.06101.545101.743-0.1981211.51479
96103.48102.395102.130.2656811.08474
97102.8102.939102.6070.331931-0.138598
98103.92103.605103.1190.4857340.3151
99103.9103.81103.4740.3362020.0900477
100103.96103.725103.6290.09641060.234839
101103.62104.039103.7030.335629-0.418546
102103.83103.578103.774-0.196350.252183
103104.09NANA-0.368225NA
104104.07NANA-0.444527NA
105103.22NANA-0.348016NA
106104.01NANA-0.29635NA
107104.01NANA-0.198121NA
108104.24NANA0.265681NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 98.41 & NA & NA & 0.331931 & NA \tabularnewline
2 & 98.94 & NA & NA & 0.485734 & NA \tabularnewline
3 & 99.09 & NA & NA & 0.336202 & NA \tabularnewline
4 & 100.45 & NA & NA & 0.0964106 & NA \tabularnewline
5 & 101.99 & NA & NA & 0.335629 & NA \tabularnewline
6 & 102.35 & NA & NA & -0.19635 & NA \tabularnewline
7 & 102.69 & 101.366 & 101.734 & -0.368225 & 1.32447 \tabularnewline
8 & 102.6 & 101.706 & 102.15 & -0.444527 & 0.89411 \tabularnewline
9 & 102.62 & 102.174 & 102.522 & -0.348016 & 0.445933 \tabularnewline
10 & 102.73 & 102.529 & 102.826 & -0.29635 & 0.200516 \tabularnewline
11 & 102.74 & 102.813 & 103.011 & -0.198121 & -0.0731293 \tabularnewline
12 & 103.45 & 103.394 & 103.128 & 0.265681 & 0.0564019 \tabularnewline
13 & 103.9 & 103.56 & 103.228 & 0.331931 & 0.340152 \tabularnewline
14 & 103.45 & 103.811 & 103.325 & 0.485734 & -0.36115 \tabularnewline
15 & 103.5 & 103.757 & 103.42 & 0.336202 & -0.256619 \tabularnewline
16 & 103.33 & 103.625 & 103.528 & 0.0964106 & -0.294744 \tabularnewline
17 & 103.56 & 104.001 & 103.665 & 0.335629 & -0.441046 \tabularnewline
18 & 103.58 & 103.588 & 103.785 & -0.19635 & -0.00823351 \tabularnewline
19 & 103.86 & 103.492 & 103.86 & -0.368225 & 0.368225 \tabularnewline
20 & 103.77 & 103.511 & 103.956 & -0.444527 & 0.258694 \tabularnewline
21 & 103.73 & 103.734 & 104.082 & -0.348016 & -0.00406684 \tabularnewline
22 & 104.21 & 103.943 & 104.24 & -0.29635 & 0.266766 \tabularnewline
23 & 104.55 & 104.26 & 104.458 & -0.198121 & 0.289787 \tabularnewline
24 & 104.5 & 104.952 & 104.687 & 0.265681 & -0.452348 \tabularnewline
25 & 104.66 & 105.243 & 104.911 & 0.331931 & -0.583181 \tabularnewline
26 & 104.99 & 105.636 & 105.15 & 0.485734 & -0.645734 \tabularnewline
27 & 104.99 & 105.73 & 105.394 & 0.336202 & -0.739952 \tabularnewline
28 & 105.62 & 105.71 & 105.614 & 0.0964106 & -0.0901606 \tabularnewline
29 & 106.52 & 106.152 & 105.816 & 0.335629 & 0.368121 \tabularnewline
30 & 106.1 & 105.824 & 106.021 & -0.19635 & 0.275516 \tabularnewline
31 & 106.73 & 105.858 & 106.226 & -0.368225 & 0.871975 \tabularnewline
32 & 106.63 & 106.023 & 106.467 & -0.444527 & 0.607027 \tabularnewline
33 & 106.72 & 106.387 & 106.735 & -0.348016 & 0.333016 \tabularnewline
34 & 106.5 & 106.671 & 106.968 & -0.29635 & -0.17115 \tabularnewline
35 & 107.12 & 106.976 & 107.174 & -0.198121 & 0.143954 \tabularnewline
36 & 106.84 & 107.702 & 107.436 & 0.265681 & -0.861931 \tabularnewline
37 & 107.25 & 108.045 & 107.713 & 0.331931 & -0.795265 \tabularnewline
38 & 108.19 & 108.45 & 107.964 & 0.485734 & -0.2599 \tabularnewline
39 & 108.21 & 108.533 & 108.197 & 0.336202 & -0.322869 \tabularnewline
40 & 107.98 & 108.483 & 108.387 & 0.0964106 & -0.503494 \tabularnewline
41 & 109.12 & 108.781 & 108.445 & 0.335629 & 0.338954 \tabularnewline
42 & 109.79 & 108.24 & 108.436 & -0.19635 & 1.5501 \tabularnewline
43 & 109.69 & 108.032 & 108.4 & -0.368225 & 1.65822 \tabularnewline
44 & 109.69 & 107.916 & 108.361 & -0.444527 & 1.77369 \tabularnewline
45 & 109.24 & 108.136 & 108.484 & -0.348016 & 1.10385 \tabularnewline
46 & 108.55 & 108.444 & 108.741 & -0.29635 & 0.105516 \tabularnewline
47 & 106.47 & 108.744 & 108.942 & -0.198121 & -2.27355 \tabularnewline
48 & 107.27 & 109.13 & 108.864 & 0.265681 & -1.85985 \tabularnewline
49 & 105.95 & 108.931 & 108.599 & 0.331931 & -2.9811 \tabularnewline
50 & 108.55 & 108.773 & 108.287 & 0.485734 & -0.222817 \tabularnewline
51 & 110.81 & 108.285 & 107.949 & 0.336202 & 2.52505 \tabularnewline
52 & 111.54 & 107.683 & 107.586 & 0.0964106 & 3.85734 \tabularnewline
53 & 110.38 & 107.725 & 107.389 & 0.335629 & 2.6552 \tabularnewline
54 & 106.67 & 107.25 & 107.446 & -0.19635 & -0.5799 \tabularnewline
55 & 106.45 & 107.315 & 107.683 & -0.368225 & -0.864692 \tabularnewline
56 & 105.44 & 107.343 & 107.787 & -0.444527 & -1.90256 \tabularnewline
57 & 105.37 & 107.053 & 107.401 & -0.348016 & -1.68282 \tabularnewline
58 & 103.72 & 106.374 & 106.67 & -0.29635 & -2.65365 \tabularnewline
59 & 106.57 & 105.694 & 105.892 & -0.198121 & 0.875621 \tabularnewline
60 & 108.54 & 105.563 & 105.297 & 0.265681 & 2.97724 \tabularnewline
61 & 110.36 & 105.134 & 104.802 & 0.331931 & 5.2264 \tabularnewline
62 & 106.64 & 104.814 & 104.328 & 0.485734 & 1.82593 \tabularnewline
63 & 103.45 & 104.2 & 103.864 & 0.336202 & -0.749952 \tabularnewline
64 & 101.36 & 103.541 & 103.444 & 0.0964106 & -2.18058 \tabularnewline
65 & 101.9 & 103.298 & 102.962 & 0.335629 & -1.39771 \tabularnewline
66 & 100.86 & 102.076 & 102.272 & -0.19635 & -1.21573 \tabularnewline
67 & 100.37 & 101.063 & 101.431 & -0.368225 & -0.693025 \tabularnewline
68 & 100.16 & 100.246 & 100.69 & -0.444527 & -0.0858898 \tabularnewline
69 & 99.5 & 99.9057 & 100.254 & -0.348016 & -0.405734 \tabularnewline
70 & 99.52 & 99.7499 & 100.046 & -0.29635 & -0.2299 \tabularnewline
71 & 99.2 & 99.7056 & 99.9038 & -0.198121 & -0.505629 \tabularnewline
72 & 99.35 & 100.042 & 99.7762 & 0.265681 & -0.691931 \tabularnewline
73 & 99.37 & 100.019 & 99.6871 & 0.331931 & -0.649015 \tabularnewline
74 & 99.85 & 100.091 & 99.605 & 0.485734 & -0.240734 \tabularnewline
75 & 99.76 & 99.9225 & 99.5862 & 0.336202 & -0.162452 \tabularnewline
76 & 100.07 & 99.7018 & 99.6054 & 0.0964106 & 0.368173 \tabularnewline
77 & 99.77 & 99.9544 & 99.6187 & 0.335629 & -0.184379 \tabularnewline
78 & 99.93 & 99.4353 & 99.6317 & -0.19635 & 0.494683 \tabularnewline
79 & 99.16 & 99.2655 & 99.6338 & -0.368225 & -0.105525 \tabularnewline
80 & 99.4 & 99.1638 & 99.6083 & -0.444527 & 0.236194 \tabularnewline
81 & 99.81 & 99.2149 & 99.5629 & -0.348016 & 0.5951 \tabularnewline
82 & 99.67 & 99.1612 & 99.4575 & -0.29635 & 0.50885 \tabularnewline
83 & 99.37 & 99.1506 & 99.3488 & -0.198121 & 0.219371 \tabularnewline
84 & 99.49 & 99.5511 & 99.2854 & 0.265681 & -0.0610981 \tabularnewline
85 & 99.28 & 99.5082 & 99.1762 & 0.331931 & -0.228181 \tabularnewline
86 & 99.33 & 99.5495 & 99.0637 & 0.485734 & -0.219484 \tabularnewline
87 & 99.19 & 99.382 & 99.0458 & 0.336202 & -0.192036 \tabularnewline
88 & 98.11 & 99.3102 & 99.2138 & 0.0964106 & -1.20016 \tabularnewline
89 & 99.12 & 99.8494 & 99.5138 & 0.335629 & -0.729379 \tabularnewline
90 & 99.06 & 99.6374 & 99.8338 & -0.19635 & -0.5774 \tabularnewline
91 & 97.41 & 99.7784 & 100.147 & -0.368225 & -2.36844 \tabularnewline
92 & 98.45 & 100.04 & 100.485 & -0.444527 & -1.59006 \tabularnewline
93 & 100.33 & 100.524 & 100.872 & -0.348016 & -0.194067 \tabularnewline
94 & 103.18 & 101.016 & 101.312 & -0.29635 & 2.16427 \tabularnewline
95 & 103.06 & 101.545 & 101.743 & -0.198121 & 1.51479 \tabularnewline
96 & 103.48 & 102.395 & 102.13 & 0.265681 & 1.08474 \tabularnewline
97 & 102.8 & 102.939 & 102.607 & 0.331931 & -0.138598 \tabularnewline
98 & 103.92 & 103.605 & 103.119 & 0.485734 & 0.3151 \tabularnewline
99 & 103.9 & 103.81 & 103.474 & 0.336202 & 0.0900477 \tabularnewline
100 & 103.96 & 103.725 & 103.629 & 0.0964106 & 0.234839 \tabularnewline
101 & 103.62 & 104.039 & 103.703 & 0.335629 & -0.418546 \tabularnewline
102 & 103.83 & 103.578 & 103.774 & -0.19635 & 0.252183 \tabularnewline
103 & 104.09 & NA & NA & -0.368225 & NA \tabularnewline
104 & 104.07 & NA & NA & -0.444527 & NA \tabularnewline
105 & 103.22 & NA & NA & -0.348016 & NA \tabularnewline
106 & 104.01 & NA & NA & -0.29635 & NA \tabularnewline
107 & 104.01 & NA & NA & -0.198121 & NA \tabularnewline
108 & 104.24 & NA & NA & 0.265681 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284132&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]98.41[/C][C]NA[/C][C]NA[/C][C]0.331931[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]98.94[/C][C]NA[/C][C]NA[/C][C]0.485734[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]99.09[/C][C]NA[/C][C]NA[/C][C]0.336202[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]100.45[/C][C]NA[/C][C]NA[/C][C]0.0964106[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.99[/C][C]NA[/C][C]NA[/C][C]0.335629[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]102.35[/C][C]NA[/C][C]NA[/C][C]-0.19635[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]102.69[/C][C]101.366[/C][C]101.734[/C][C]-0.368225[/C][C]1.32447[/C][/ROW]
[ROW][C]8[/C][C]102.6[/C][C]101.706[/C][C]102.15[/C][C]-0.444527[/C][C]0.89411[/C][/ROW]
[ROW][C]9[/C][C]102.62[/C][C]102.174[/C][C]102.522[/C][C]-0.348016[/C][C]0.445933[/C][/ROW]
[ROW][C]10[/C][C]102.73[/C][C]102.529[/C][C]102.826[/C][C]-0.29635[/C][C]0.200516[/C][/ROW]
[ROW][C]11[/C][C]102.74[/C][C]102.813[/C][C]103.011[/C][C]-0.198121[/C][C]-0.0731293[/C][/ROW]
[ROW][C]12[/C][C]103.45[/C][C]103.394[/C][C]103.128[/C][C]0.265681[/C][C]0.0564019[/C][/ROW]
[ROW][C]13[/C][C]103.9[/C][C]103.56[/C][C]103.228[/C][C]0.331931[/C][C]0.340152[/C][/ROW]
[ROW][C]14[/C][C]103.45[/C][C]103.811[/C][C]103.325[/C][C]0.485734[/C][C]-0.36115[/C][/ROW]
[ROW][C]15[/C][C]103.5[/C][C]103.757[/C][C]103.42[/C][C]0.336202[/C][C]-0.256619[/C][/ROW]
[ROW][C]16[/C][C]103.33[/C][C]103.625[/C][C]103.528[/C][C]0.0964106[/C][C]-0.294744[/C][/ROW]
[ROW][C]17[/C][C]103.56[/C][C]104.001[/C][C]103.665[/C][C]0.335629[/C][C]-0.441046[/C][/ROW]
[ROW][C]18[/C][C]103.58[/C][C]103.588[/C][C]103.785[/C][C]-0.19635[/C][C]-0.00823351[/C][/ROW]
[ROW][C]19[/C][C]103.86[/C][C]103.492[/C][C]103.86[/C][C]-0.368225[/C][C]0.368225[/C][/ROW]
[ROW][C]20[/C][C]103.77[/C][C]103.511[/C][C]103.956[/C][C]-0.444527[/C][C]0.258694[/C][/ROW]
[ROW][C]21[/C][C]103.73[/C][C]103.734[/C][C]104.082[/C][C]-0.348016[/C][C]-0.00406684[/C][/ROW]
[ROW][C]22[/C][C]104.21[/C][C]103.943[/C][C]104.24[/C][C]-0.29635[/C][C]0.266766[/C][/ROW]
[ROW][C]23[/C][C]104.55[/C][C]104.26[/C][C]104.458[/C][C]-0.198121[/C][C]0.289787[/C][/ROW]
[ROW][C]24[/C][C]104.5[/C][C]104.952[/C][C]104.687[/C][C]0.265681[/C][C]-0.452348[/C][/ROW]
[ROW][C]25[/C][C]104.66[/C][C]105.243[/C][C]104.911[/C][C]0.331931[/C][C]-0.583181[/C][/ROW]
[ROW][C]26[/C][C]104.99[/C][C]105.636[/C][C]105.15[/C][C]0.485734[/C][C]-0.645734[/C][/ROW]
[ROW][C]27[/C][C]104.99[/C][C]105.73[/C][C]105.394[/C][C]0.336202[/C][C]-0.739952[/C][/ROW]
[ROW][C]28[/C][C]105.62[/C][C]105.71[/C][C]105.614[/C][C]0.0964106[/C][C]-0.0901606[/C][/ROW]
[ROW][C]29[/C][C]106.52[/C][C]106.152[/C][C]105.816[/C][C]0.335629[/C][C]0.368121[/C][/ROW]
[ROW][C]30[/C][C]106.1[/C][C]105.824[/C][C]106.021[/C][C]-0.19635[/C][C]0.275516[/C][/ROW]
[ROW][C]31[/C][C]106.73[/C][C]105.858[/C][C]106.226[/C][C]-0.368225[/C][C]0.871975[/C][/ROW]
[ROW][C]32[/C][C]106.63[/C][C]106.023[/C][C]106.467[/C][C]-0.444527[/C][C]0.607027[/C][/ROW]
[ROW][C]33[/C][C]106.72[/C][C]106.387[/C][C]106.735[/C][C]-0.348016[/C][C]0.333016[/C][/ROW]
[ROW][C]34[/C][C]106.5[/C][C]106.671[/C][C]106.968[/C][C]-0.29635[/C][C]-0.17115[/C][/ROW]
[ROW][C]35[/C][C]107.12[/C][C]106.976[/C][C]107.174[/C][C]-0.198121[/C][C]0.143954[/C][/ROW]
[ROW][C]36[/C][C]106.84[/C][C]107.702[/C][C]107.436[/C][C]0.265681[/C][C]-0.861931[/C][/ROW]
[ROW][C]37[/C][C]107.25[/C][C]108.045[/C][C]107.713[/C][C]0.331931[/C][C]-0.795265[/C][/ROW]
[ROW][C]38[/C][C]108.19[/C][C]108.45[/C][C]107.964[/C][C]0.485734[/C][C]-0.2599[/C][/ROW]
[ROW][C]39[/C][C]108.21[/C][C]108.533[/C][C]108.197[/C][C]0.336202[/C][C]-0.322869[/C][/ROW]
[ROW][C]40[/C][C]107.98[/C][C]108.483[/C][C]108.387[/C][C]0.0964106[/C][C]-0.503494[/C][/ROW]
[ROW][C]41[/C][C]109.12[/C][C]108.781[/C][C]108.445[/C][C]0.335629[/C][C]0.338954[/C][/ROW]
[ROW][C]42[/C][C]109.79[/C][C]108.24[/C][C]108.436[/C][C]-0.19635[/C][C]1.5501[/C][/ROW]
[ROW][C]43[/C][C]109.69[/C][C]108.032[/C][C]108.4[/C][C]-0.368225[/C][C]1.65822[/C][/ROW]
[ROW][C]44[/C][C]109.69[/C][C]107.916[/C][C]108.361[/C][C]-0.444527[/C][C]1.77369[/C][/ROW]
[ROW][C]45[/C][C]109.24[/C][C]108.136[/C][C]108.484[/C][C]-0.348016[/C][C]1.10385[/C][/ROW]
[ROW][C]46[/C][C]108.55[/C][C]108.444[/C][C]108.741[/C][C]-0.29635[/C][C]0.105516[/C][/ROW]
[ROW][C]47[/C][C]106.47[/C][C]108.744[/C][C]108.942[/C][C]-0.198121[/C][C]-2.27355[/C][/ROW]
[ROW][C]48[/C][C]107.27[/C][C]109.13[/C][C]108.864[/C][C]0.265681[/C][C]-1.85985[/C][/ROW]
[ROW][C]49[/C][C]105.95[/C][C]108.931[/C][C]108.599[/C][C]0.331931[/C][C]-2.9811[/C][/ROW]
[ROW][C]50[/C][C]108.55[/C][C]108.773[/C][C]108.287[/C][C]0.485734[/C][C]-0.222817[/C][/ROW]
[ROW][C]51[/C][C]110.81[/C][C]108.285[/C][C]107.949[/C][C]0.336202[/C][C]2.52505[/C][/ROW]
[ROW][C]52[/C][C]111.54[/C][C]107.683[/C][C]107.586[/C][C]0.0964106[/C][C]3.85734[/C][/ROW]
[ROW][C]53[/C][C]110.38[/C][C]107.725[/C][C]107.389[/C][C]0.335629[/C][C]2.6552[/C][/ROW]
[ROW][C]54[/C][C]106.67[/C][C]107.25[/C][C]107.446[/C][C]-0.19635[/C][C]-0.5799[/C][/ROW]
[ROW][C]55[/C][C]106.45[/C][C]107.315[/C][C]107.683[/C][C]-0.368225[/C][C]-0.864692[/C][/ROW]
[ROW][C]56[/C][C]105.44[/C][C]107.343[/C][C]107.787[/C][C]-0.444527[/C][C]-1.90256[/C][/ROW]
[ROW][C]57[/C][C]105.37[/C][C]107.053[/C][C]107.401[/C][C]-0.348016[/C][C]-1.68282[/C][/ROW]
[ROW][C]58[/C][C]103.72[/C][C]106.374[/C][C]106.67[/C][C]-0.29635[/C][C]-2.65365[/C][/ROW]
[ROW][C]59[/C][C]106.57[/C][C]105.694[/C][C]105.892[/C][C]-0.198121[/C][C]0.875621[/C][/ROW]
[ROW][C]60[/C][C]108.54[/C][C]105.563[/C][C]105.297[/C][C]0.265681[/C][C]2.97724[/C][/ROW]
[ROW][C]61[/C][C]110.36[/C][C]105.134[/C][C]104.802[/C][C]0.331931[/C][C]5.2264[/C][/ROW]
[ROW][C]62[/C][C]106.64[/C][C]104.814[/C][C]104.328[/C][C]0.485734[/C][C]1.82593[/C][/ROW]
[ROW][C]63[/C][C]103.45[/C][C]104.2[/C][C]103.864[/C][C]0.336202[/C][C]-0.749952[/C][/ROW]
[ROW][C]64[/C][C]101.36[/C][C]103.541[/C][C]103.444[/C][C]0.0964106[/C][C]-2.18058[/C][/ROW]
[ROW][C]65[/C][C]101.9[/C][C]103.298[/C][C]102.962[/C][C]0.335629[/C][C]-1.39771[/C][/ROW]
[ROW][C]66[/C][C]100.86[/C][C]102.076[/C][C]102.272[/C][C]-0.19635[/C][C]-1.21573[/C][/ROW]
[ROW][C]67[/C][C]100.37[/C][C]101.063[/C][C]101.431[/C][C]-0.368225[/C][C]-0.693025[/C][/ROW]
[ROW][C]68[/C][C]100.16[/C][C]100.246[/C][C]100.69[/C][C]-0.444527[/C][C]-0.0858898[/C][/ROW]
[ROW][C]69[/C][C]99.5[/C][C]99.9057[/C][C]100.254[/C][C]-0.348016[/C][C]-0.405734[/C][/ROW]
[ROW][C]70[/C][C]99.52[/C][C]99.7499[/C][C]100.046[/C][C]-0.29635[/C][C]-0.2299[/C][/ROW]
[ROW][C]71[/C][C]99.2[/C][C]99.7056[/C][C]99.9038[/C][C]-0.198121[/C][C]-0.505629[/C][/ROW]
[ROW][C]72[/C][C]99.35[/C][C]100.042[/C][C]99.7762[/C][C]0.265681[/C][C]-0.691931[/C][/ROW]
[ROW][C]73[/C][C]99.37[/C][C]100.019[/C][C]99.6871[/C][C]0.331931[/C][C]-0.649015[/C][/ROW]
[ROW][C]74[/C][C]99.85[/C][C]100.091[/C][C]99.605[/C][C]0.485734[/C][C]-0.240734[/C][/ROW]
[ROW][C]75[/C][C]99.76[/C][C]99.9225[/C][C]99.5862[/C][C]0.336202[/C][C]-0.162452[/C][/ROW]
[ROW][C]76[/C][C]100.07[/C][C]99.7018[/C][C]99.6054[/C][C]0.0964106[/C][C]0.368173[/C][/ROW]
[ROW][C]77[/C][C]99.77[/C][C]99.9544[/C][C]99.6187[/C][C]0.335629[/C][C]-0.184379[/C][/ROW]
[ROW][C]78[/C][C]99.93[/C][C]99.4353[/C][C]99.6317[/C][C]-0.19635[/C][C]0.494683[/C][/ROW]
[ROW][C]79[/C][C]99.16[/C][C]99.2655[/C][C]99.6338[/C][C]-0.368225[/C][C]-0.105525[/C][/ROW]
[ROW][C]80[/C][C]99.4[/C][C]99.1638[/C][C]99.6083[/C][C]-0.444527[/C][C]0.236194[/C][/ROW]
[ROW][C]81[/C][C]99.81[/C][C]99.2149[/C][C]99.5629[/C][C]-0.348016[/C][C]0.5951[/C][/ROW]
[ROW][C]82[/C][C]99.67[/C][C]99.1612[/C][C]99.4575[/C][C]-0.29635[/C][C]0.50885[/C][/ROW]
[ROW][C]83[/C][C]99.37[/C][C]99.1506[/C][C]99.3488[/C][C]-0.198121[/C][C]0.219371[/C][/ROW]
[ROW][C]84[/C][C]99.49[/C][C]99.5511[/C][C]99.2854[/C][C]0.265681[/C][C]-0.0610981[/C][/ROW]
[ROW][C]85[/C][C]99.28[/C][C]99.5082[/C][C]99.1762[/C][C]0.331931[/C][C]-0.228181[/C][/ROW]
[ROW][C]86[/C][C]99.33[/C][C]99.5495[/C][C]99.0637[/C][C]0.485734[/C][C]-0.219484[/C][/ROW]
[ROW][C]87[/C][C]99.19[/C][C]99.382[/C][C]99.0458[/C][C]0.336202[/C][C]-0.192036[/C][/ROW]
[ROW][C]88[/C][C]98.11[/C][C]99.3102[/C][C]99.2138[/C][C]0.0964106[/C][C]-1.20016[/C][/ROW]
[ROW][C]89[/C][C]99.12[/C][C]99.8494[/C][C]99.5138[/C][C]0.335629[/C][C]-0.729379[/C][/ROW]
[ROW][C]90[/C][C]99.06[/C][C]99.6374[/C][C]99.8338[/C][C]-0.19635[/C][C]-0.5774[/C][/ROW]
[ROW][C]91[/C][C]97.41[/C][C]99.7784[/C][C]100.147[/C][C]-0.368225[/C][C]-2.36844[/C][/ROW]
[ROW][C]92[/C][C]98.45[/C][C]100.04[/C][C]100.485[/C][C]-0.444527[/C][C]-1.59006[/C][/ROW]
[ROW][C]93[/C][C]100.33[/C][C]100.524[/C][C]100.872[/C][C]-0.348016[/C][C]-0.194067[/C][/ROW]
[ROW][C]94[/C][C]103.18[/C][C]101.016[/C][C]101.312[/C][C]-0.29635[/C][C]2.16427[/C][/ROW]
[ROW][C]95[/C][C]103.06[/C][C]101.545[/C][C]101.743[/C][C]-0.198121[/C][C]1.51479[/C][/ROW]
[ROW][C]96[/C][C]103.48[/C][C]102.395[/C][C]102.13[/C][C]0.265681[/C][C]1.08474[/C][/ROW]
[ROW][C]97[/C][C]102.8[/C][C]102.939[/C][C]102.607[/C][C]0.331931[/C][C]-0.138598[/C][/ROW]
[ROW][C]98[/C][C]103.92[/C][C]103.605[/C][C]103.119[/C][C]0.485734[/C][C]0.3151[/C][/ROW]
[ROW][C]99[/C][C]103.9[/C][C]103.81[/C][C]103.474[/C][C]0.336202[/C][C]0.0900477[/C][/ROW]
[ROW][C]100[/C][C]103.96[/C][C]103.725[/C][C]103.629[/C][C]0.0964106[/C][C]0.234839[/C][/ROW]
[ROW][C]101[/C][C]103.62[/C][C]104.039[/C][C]103.703[/C][C]0.335629[/C][C]-0.418546[/C][/ROW]
[ROW][C]102[/C][C]103.83[/C][C]103.578[/C][C]103.774[/C][C]-0.19635[/C][C]0.252183[/C][/ROW]
[ROW][C]103[/C][C]104.09[/C][C]NA[/C][C]NA[/C][C]-0.368225[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]104.07[/C][C]NA[/C][C]NA[/C][C]-0.444527[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]103.22[/C][C]NA[/C][C]NA[/C][C]-0.348016[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]104.01[/C][C]NA[/C][C]NA[/C][C]-0.29635[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]104.01[/C][C]NA[/C][C]NA[/C][C]-0.198121[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]104.24[/C][C]NA[/C][C]NA[/C][C]0.265681[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284132&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284132&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
198.41NANA0.331931NA
298.94NANA0.485734NA
399.09NANA0.336202NA
4100.45NANA0.0964106NA
5101.99NANA0.335629NA
6102.35NANA-0.19635NA
7102.69101.366101.734-0.3682251.32447
8102.6101.706102.15-0.4445270.89411
9102.62102.174102.522-0.3480160.445933
10102.73102.529102.826-0.296350.200516
11102.74102.813103.011-0.198121-0.0731293
12103.45103.394103.1280.2656810.0564019
13103.9103.56103.2280.3319310.340152
14103.45103.811103.3250.485734-0.36115
15103.5103.757103.420.336202-0.256619
16103.33103.625103.5280.0964106-0.294744
17103.56104.001103.6650.335629-0.441046
18103.58103.588103.785-0.19635-0.00823351
19103.86103.492103.86-0.3682250.368225
20103.77103.511103.956-0.4445270.258694
21103.73103.734104.082-0.348016-0.00406684
22104.21103.943104.24-0.296350.266766
23104.55104.26104.458-0.1981210.289787
24104.5104.952104.6870.265681-0.452348
25104.66105.243104.9110.331931-0.583181
26104.99105.636105.150.485734-0.645734
27104.99105.73105.3940.336202-0.739952
28105.62105.71105.6140.0964106-0.0901606
29106.52106.152105.8160.3356290.368121
30106.1105.824106.021-0.196350.275516
31106.73105.858106.226-0.3682250.871975
32106.63106.023106.467-0.4445270.607027
33106.72106.387106.735-0.3480160.333016
34106.5106.671106.968-0.29635-0.17115
35107.12106.976107.174-0.1981210.143954
36106.84107.702107.4360.265681-0.861931
37107.25108.045107.7130.331931-0.795265
38108.19108.45107.9640.485734-0.2599
39108.21108.533108.1970.336202-0.322869
40107.98108.483108.3870.0964106-0.503494
41109.12108.781108.4450.3356290.338954
42109.79108.24108.436-0.196351.5501
43109.69108.032108.4-0.3682251.65822
44109.69107.916108.361-0.4445271.77369
45109.24108.136108.484-0.3480161.10385
46108.55108.444108.741-0.296350.105516
47106.47108.744108.942-0.198121-2.27355
48107.27109.13108.8640.265681-1.85985
49105.95108.931108.5990.331931-2.9811
50108.55108.773108.2870.485734-0.222817
51110.81108.285107.9490.3362022.52505
52111.54107.683107.5860.09641063.85734
53110.38107.725107.3890.3356292.6552
54106.67107.25107.446-0.19635-0.5799
55106.45107.315107.683-0.368225-0.864692
56105.44107.343107.787-0.444527-1.90256
57105.37107.053107.401-0.348016-1.68282
58103.72106.374106.67-0.29635-2.65365
59106.57105.694105.892-0.1981210.875621
60108.54105.563105.2970.2656812.97724
61110.36105.134104.8020.3319315.2264
62106.64104.814104.3280.4857341.82593
63103.45104.2103.8640.336202-0.749952
64101.36103.541103.4440.0964106-2.18058
65101.9103.298102.9620.335629-1.39771
66100.86102.076102.272-0.19635-1.21573
67100.37101.063101.431-0.368225-0.693025
68100.16100.246100.69-0.444527-0.0858898
6999.599.9057100.254-0.348016-0.405734
7099.5299.7499100.046-0.29635-0.2299
7199.299.705699.9038-0.198121-0.505629
7299.35100.04299.77620.265681-0.691931
7399.37100.01999.68710.331931-0.649015
7499.85100.09199.6050.485734-0.240734
7599.7699.922599.58620.336202-0.162452
76100.0799.701899.60540.09641060.368173
7799.7799.954499.61870.335629-0.184379
7899.9399.435399.6317-0.196350.494683
7999.1699.265599.6338-0.368225-0.105525
8099.499.163899.6083-0.4445270.236194
8199.8199.214999.5629-0.3480160.5951
8299.6799.161299.4575-0.296350.50885
8399.3799.150699.3488-0.1981210.219371
8499.4999.551199.28540.265681-0.0610981
8599.2899.508299.17620.331931-0.228181
8699.3399.549599.06370.485734-0.219484
8799.1999.38299.04580.336202-0.192036
8898.1199.310299.21380.0964106-1.20016
8999.1299.849499.51380.335629-0.729379
9099.0699.637499.8338-0.19635-0.5774
9197.4199.7784100.147-0.368225-2.36844
9298.45100.04100.485-0.444527-1.59006
93100.33100.524100.872-0.348016-0.194067
94103.18101.016101.312-0.296352.16427
95103.06101.545101.743-0.1981211.51479
96103.48102.395102.130.2656811.08474
97102.8102.939102.6070.331931-0.138598
98103.92103.605103.1190.4857340.3151
99103.9103.81103.4740.3362020.0900477
100103.96103.725103.6290.09641060.234839
101103.62104.039103.7030.335629-0.418546
102103.83103.578103.774-0.196350.252183
103104.09NANA-0.368225NA
104104.07NANA-0.444527NA
105103.22NANA-0.348016NA
106104.01NANA-0.29635NA
107104.01NANA-0.198121NA
108104.24NANA0.265681NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')