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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 computationSat, 16 Dec 2017 18:26:21 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/16/t1513445338vdxkvmaezq4ia83.htm/, Retrieved Wed, 15 May 2024 21:11:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309928, Retrieved Wed, 15 May 2024 21:11:41 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2017-12-16 17:26:21] [86c18850f013301d73767c2d74663798] [Current]
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Dataseries X:
101,5
110,4
107,3
107,7
98,3
130,3
89,1
100,4
121,1
109,3
87,4
101,3
75,6
74,6
91,3
85,1
80,8
100,2
64,5
86,9
104,8
92,9
94,6
118,3
77,9
85
112,5
82,4
82,4
109,9
86,9
93,3
115
118,5
113,5
122,7
102,3
98,2
117,1
81,8
105,5
93,2
78,8
87,2
111,5
109,8
100,7
108,2
83,8
92
121,9
86,1
98,6
120,6
88,2
80,2
94,9
111,8
98,5
104,6
82,1
87,5
98,1
87,8
87
100,5
78,2
71,3
90,9
108,5
88,4
113,4
84,3
84,6
92
86,8
87,8
90,9
82,7
80,2
100,4
105
92,9
118,8
74,3
81,9
96,7
86,3
80,4
100
66,2
73,3
110,9
104,1
100,4
110,7
85,3
96,9
93,9
98,4
90,1
103,2
72,9
85,6
97,4
101,2
99,2
107,6
88,3
94,6
112,2
85,4
87,5
110,8
78,3
89




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309928&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=309928&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309928&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1101.5NANA-10.9647NA
2110.4NANA-6.26192NA
3107.3NANA8.64277NA
4107.7NANA-7.2916NA
598.3NANA-5.07337NA
6130.3NANA8.06985NA
789.187.4432104.262-16.81931.65682
8100.490.6622101.692-11.02959.73784
9121.1109.49999.53339.965411.6013
10109.3109.54997.92511.6237-0.248732
1187.498.531196.25422.27697-11.1311
12101.3111.13394.270816.8617-9.83253
1375.681.02791.9917-10.9647-5.42697
1474.684.142390.4042-6.26192-9.54225
1591.397.805389.16258.64277-6.50527
1685.180.508487.8-7.29164.5916
1780.882.343387.4167-5.07337-1.54329
18100.296.494988.4258.069853.70515
1964.572.409889.2292-16.8193-7.90984
2086.978.728889.7583-11.02958.17118
21104.8101.0491.0759.96543.7596
2292.9103.4791.845811.6237-10.5696
2394.694.07791.82.276970.523028
24118.3109.13392.270816.86179.16747
2577.982.643693.6083-10.9647-4.74364
268588.546494.8083-6.26192-3.54642
27112.5104.14395.58.642778.35723
2882.489.700196.9917-7.2916-7.30006
2982.493.772598.8458-5.07337-11.3725
30109.9107.88799.81678.069852.01348
3186.984.1973101.017-16.81932.70266
3293.391.5538102.583-11.02951.74618
33115113.29103.3259.96541.7096
34118.5115.115103.49211.62373.3846
35113.5106.706104.4292.276976.79386
36122.7121.558104.69616.86171.14247
37102.392.6978103.663-10.96479.60219
3898.296.8089103.071-6.261921.39108
39117.1111.314102.6718.642775.7864
4081.894.8709102.162-7.2916-13.0709
41105.596.1933101.267-5.073379.30671
4293.2108.199100.1298.06985-14.999
4378.881.934898.7542-16.8193-3.13484
4487.286.695597.725-11.02950.504509
45111.5107.63297.66679.96543.86793
46109.8109.6798.045811.62370.130435
47100.7100.21497.93752.276970.485528
48108.2115.65398.791716.8617-7.45336
4983.889.3603100.325-10.9647-5.56031
509294.1631100.425-6.26192-2.16308
51121.9108.08499.44178.6427713.8156
5286.191.541798.8333-7.2916-5.44173
5398.693.751698.825-5.073374.84837
54120.6106.65398.58338.0698513.9468
5588.281.543298.3625-16.81936.65682
5680.287.074798.1042-11.0295-6.87466
5794.9106.8996.9259.9654-11.9904
58111.8107.62896.004211.62374.1721
5998.597.868695.59172.276970.631361
60104.6111.13394.270816.8617-6.53253
6182.182.05293.0167-10.96470.0480276
6287.585.967392.2292-6.261921.53275
6398.1100.33491.69178.64277-2.23444
6487.884.095991.3875-7.29163.7041
658785.755890.8292-5.073371.24421
66100.598.844990.7758.069851.65515
6778.274.41491.2333-16.81933.78599
6871.380.174791.2042-11.0295-8.87466
6990.9100.79590.82929.9654-9.89457
70108.5102.15790.533311.62376.34293
7188.492.80290.5252.27697-4.40197
72113.4107.0290.158316.86176.37997
7384.378.981189.9458-10.96475.31886
7484.684.242390.5042-6.261920.35775
759299.913691.27088.64277-7.9136
7686.884.229291.5208-7.29162.57077
7787.886.489191.5625-5.073371.31087
7890.9100.04591.9758.06985-9.14485
7982.774.96491.7833-16.81937.73599
8080.280.224791.2542-11.0295-0.0246576
81100.4101.30391.33759.9654-0.902898
82105103.13691.512511.62371.86377
8392.993.460391.18332.27697-0.560306
84118.8108.11691.254216.861710.6841
8574.379.981190.9458-10.9647-5.68114
8681.983.708989.9708-6.26192-1.80892
8796.798.763690.12088.64277-2.0636
8886.383.229290.5208-7.29163.07077
8980.485.722590.7958-5.07337-5.32246
9010098.840790.77088.069851.15931
9166.274.072390.8917-16.8193-7.87234
9273.380.945591.975-11.0295-7.64549
93110.9102.44992.48339.96548.45127
94104.1104.49592.870811.6237-0.394565
95100.496.056193.77922.276974.34386
96110.7111.17894.316716.8617-0.478361
9785.383.764594.7292-10.96471.53553
9896.989.258995.5208-6.261927.64108
9993.9104.11495.47088.64277-10.2136
10098.487.495994.7875-7.291610.9041
10190.189.543394.6167-5.073370.556708
102103.2102.50794.43758.069850.692646
10372.977.61494.4333-16.8193-4.71401
10485.683.43394.4625-11.02952.16701
10597.4105.09595.12929.9654-7.69457
106101.2106.97495.3511.6237-5.77373
10799.296.97794.72.276972.22303
108107.6111.7794.908316.8617-4.17003
10988.384.485395.45-10.96473.81469
11094.689.554895.8167-6.261925.04525
111112.2NANA8.64277NA
11285.4NANA-7.2916NA
11387.5NANA-5.07337NA
114110.8NANA8.06985NA
11578.3NANA-16.8193NA
11689NANA-11.0295NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.5 & NA & NA & -10.9647 & NA \tabularnewline
2 & 110.4 & NA & NA & -6.26192 & NA \tabularnewline
3 & 107.3 & NA & NA & 8.64277 & NA \tabularnewline
4 & 107.7 & NA & NA & -7.2916 & NA \tabularnewline
5 & 98.3 & NA & NA & -5.07337 & NA \tabularnewline
6 & 130.3 & NA & NA & 8.06985 & NA \tabularnewline
7 & 89.1 & 87.4432 & 104.262 & -16.8193 & 1.65682 \tabularnewline
8 & 100.4 & 90.6622 & 101.692 & -11.0295 & 9.73784 \tabularnewline
9 & 121.1 & 109.499 & 99.5333 & 9.9654 & 11.6013 \tabularnewline
10 & 109.3 & 109.549 & 97.925 & 11.6237 & -0.248732 \tabularnewline
11 & 87.4 & 98.5311 & 96.2542 & 2.27697 & -11.1311 \tabularnewline
12 & 101.3 & 111.133 & 94.2708 & 16.8617 & -9.83253 \tabularnewline
13 & 75.6 & 81.027 & 91.9917 & -10.9647 & -5.42697 \tabularnewline
14 & 74.6 & 84.1423 & 90.4042 & -6.26192 & -9.54225 \tabularnewline
15 & 91.3 & 97.8053 & 89.1625 & 8.64277 & -6.50527 \tabularnewline
16 & 85.1 & 80.5084 & 87.8 & -7.2916 & 4.5916 \tabularnewline
17 & 80.8 & 82.3433 & 87.4167 & -5.07337 & -1.54329 \tabularnewline
18 & 100.2 & 96.4949 & 88.425 & 8.06985 & 3.70515 \tabularnewline
19 & 64.5 & 72.4098 & 89.2292 & -16.8193 & -7.90984 \tabularnewline
20 & 86.9 & 78.7288 & 89.7583 & -11.0295 & 8.17118 \tabularnewline
21 & 104.8 & 101.04 & 91.075 & 9.9654 & 3.7596 \tabularnewline
22 & 92.9 & 103.47 & 91.8458 & 11.6237 & -10.5696 \tabularnewline
23 & 94.6 & 94.077 & 91.8 & 2.27697 & 0.523028 \tabularnewline
24 & 118.3 & 109.133 & 92.2708 & 16.8617 & 9.16747 \tabularnewline
25 & 77.9 & 82.6436 & 93.6083 & -10.9647 & -4.74364 \tabularnewline
26 & 85 & 88.5464 & 94.8083 & -6.26192 & -3.54642 \tabularnewline
27 & 112.5 & 104.143 & 95.5 & 8.64277 & 8.35723 \tabularnewline
28 & 82.4 & 89.7001 & 96.9917 & -7.2916 & -7.30006 \tabularnewline
29 & 82.4 & 93.7725 & 98.8458 & -5.07337 & -11.3725 \tabularnewline
30 & 109.9 & 107.887 & 99.8167 & 8.06985 & 2.01348 \tabularnewline
31 & 86.9 & 84.1973 & 101.017 & -16.8193 & 2.70266 \tabularnewline
32 & 93.3 & 91.5538 & 102.583 & -11.0295 & 1.74618 \tabularnewline
33 & 115 & 113.29 & 103.325 & 9.9654 & 1.7096 \tabularnewline
34 & 118.5 & 115.115 & 103.492 & 11.6237 & 3.3846 \tabularnewline
35 & 113.5 & 106.706 & 104.429 & 2.27697 & 6.79386 \tabularnewline
36 & 122.7 & 121.558 & 104.696 & 16.8617 & 1.14247 \tabularnewline
37 & 102.3 & 92.6978 & 103.663 & -10.9647 & 9.60219 \tabularnewline
38 & 98.2 & 96.8089 & 103.071 & -6.26192 & 1.39108 \tabularnewline
39 & 117.1 & 111.314 & 102.671 & 8.64277 & 5.7864 \tabularnewline
40 & 81.8 & 94.8709 & 102.162 & -7.2916 & -13.0709 \tabularnewline
41 & 105.5 & 96.1933 & 101.267 & -5.07337 & 9.30671 \tabularnewline
42 & 93.2 & 108.199 & 100.129 & 8.06985 & -14.999 \tabularnewline
43 & 78.8 & 81.9348 & 98.7542 & -16.8193 & -3.13484 \tabularnewline
44 & 87.2 & 86.6955 & 97.725 & -11.0295 & 0.504509 \tabularnewline
45 & 111.5 & 107.632 & 97.6667 & 9.9654 & 3.86793 \tabularnewline
46 & 109.8 & 109.67 & 98.0458 & 11.6237 & 0.130435 \tabularnewline
47 & 100.7 & 100.214 & 97.9375 & 2.27697 & 0.485528 \tabularnewline
48 & 108.2 & 115.653 & 98.7917 & 16.8617 & -7.45336 \tabularnewline
49 & 83.8 & 89.3603 & 100.325 & -10.9647 & -5.56031 \tabularnewline
50 & 92 & 94.1631 & 100.425 & -6.26192 & -2.16308 \tabularnewline
51 & 121.9 & 108.084 & 99.4417 & 8.64277 & 13.8156 \tabularnewline
52 & 86.1 & 91.5417 & 98.8333 & -7.2916 & -5.44173 \tabularnewline
53 & 98.6 & 93.7516 & 98.825 & -5.07337 & 4.84837 \tabularnewline
54 & 120.6 & 106.653 & 98.5833 & 8.06985 & 13.9468 \tabularnewline
55 & 88.2 & 81.5432 & 98.3625 & -16.8193 & 6.65682 \tabularnewline
56 & 80.2 & 87.0747 & 98.1042 & -11.0295 & -6.87466 \tabularnewline
57 & 94.9 & 106.89 & 96.925 & 9.9654 & -11.9904 \tabularnewline
58 & 111.8 & 107.628 & 96.0042 & 11.6237 & 4.1721 \tabularnewline
59 & 98.5 & 97.8686 & 95.5917 & 2.27697 & 0.631361 \tabularnewline
60 & 104.6 & 111.133 & 94.2708 & 16.8617 & -6.53253 \tabularnewline
61 & 82.1 & 82.052 & 93.0167 & -10.9647 & 0.0480276 \tabularnewline
62 & 87.5 & 85.9673 & 92.2292 & -6.26192 & 1.53275 \tabularnewline
63 & 98.1 & 100.334 & 91.6917 & 8.64277 & -2.23444 \tabularnewline
64 & 87.8 & 84.0959 & 91.3875 & -7.2916 & 3.7041 \tabularnewline
65 & 87 & 85.7558 & 90.8292 & -5.07337 & 1.24421 \tabularnewline
66 & 100.5 & 98.8449 & 90.775 & 8.06985 & 1.65515 \tabularnewline
67 & 78.2 & 74.414 & 91.2333 & -16.8193 & 3.78599 \tabularnewline
68 & 71.3 & 80.1747 & 91.2042 & -11.0295 & -8.87466 \tabularnewline
69 & 90.9 & 100.795 & 90.8292 & 9.9654 & -9.89457 \tabularnewline
70 & 108.5 & 102.157 & 90.5333 & 11.6237 & 6.34293 \tabularnewline
71 & 88.4 & 92.802 & 90.525 & 2.27697 & -4.40197 \tabularnewline
72 & 113.4 & 107.02 & 90.1583 & 16.8617 & 6.37997 \tabularnewline
73 & 84.3 & 78.9811 & 89.9458 & -10.9647 & 5.31886 \tabularnewline
74 & 84.6 & 84.2423 & 90.5042 & -6.26192 & 0.35775 \tabularnewline
75 & 92 & 99.9136 & 91.2708 & 8.64277 & -7.9136 \tabularnewline
76 & 86.8 & 84.2292 & 91.5208 & -7.2916 & 2.57077 \tabularnewline
77 & 87.8 & 86.4891 & 91.5625 & -5.07337 & 1.31087 \tabularnewline
78 & 90.9 & 100.045 & 91.975 & 8.06985 & -9.14485 \tabularnewline
79 & 82.7 & 74.964 & 91.7833 & -16.8193 & 7.73599 \tabularnewline
80 & 80.2 & 80.2247 & 91.2542 & -11.0295 & -0.0246576 \tabularnewline
81 & 100.4 & 101.303 & 91.3375 & 9.9654 & -0.902898 \tabularnewline
82 & 105 & 103.136 & 91.5125 & 11.6237 & 1.86377 \tabularnewline
83 & 92.9 & 93.4603 & 91.1833 & 2.27697 & -0.560306 \tabularnewline
84 & 118.8 & 108.116 & 91.2542 & 16.8617 & 10.6841 \tabularnewline
85 & 74.3 & 79.9811 & 90.9458 & -10.9647 & -5.68114 \tabularnewline
86 & 81.9 & 83.7089 & 89.9708 & -6.26192 & -1.80892 \tabularnewline
87 & 96.7 & 98.7636 & 90.1208 & 8.64277 & -2.0636 \tabularnewline
88 & 86.3 & 83.2292 & 90.5208 & -7.2916 & 3.07077 \tabularnewline
89 & 80.4 & 85.7225 & 90.7958 & -5.07337 & -5.32246 \tabularnewline
90 & 100 & 98.8407 & 90.7708 & 8.06985 & 1.15931 \tabularnewline
91 & 66.2 & 74.0723 & 90.8917 & -16.8193 & -7.87234 \tabularnewline
92 & 73.3 & 80.9455 & 91.975 & -11.0295 & -7.64549 \tabularnewline
93 & 110.9 & 102.449 & 92.4833 & 9.9654 & 8.45127 \tabularnewline
94 & 104.1 & 104.495 & 92.8708 & 11.6237 & -0.394565 \tabularnewline
95 & 100.4 & 96.0561 & 93.7792 & 2.27697 & 4.34386 \tabularnewline
96 & 110.7 & 111.178 & 94.3167 & 16.8617 & -0.478361 \tabularnewline
97 & 85.3 & 83.7645 & 94.7292 & -10.9647 & 1.53553 \tabularnewline
98 & 96.9 & 89.2589 & 95.5208 & -6.26192 & 7.64108 \tabularnewline
99 & 93.9 & 104.114 & 95.4708 & 8.64277 & -10.2136 \tabularnewline
100 & 98.4 & 87.4959 & 94.7875 & -7.2916 & 10.9041 \tabularnewline
101 & 90.1 & 89.5433 & 94.6167 & -5.07337 & 0.556708 \tabularnewline
102 & 103.2 & 102.507 & 94.4375 & 8.06985 & 0.692646 \tabularnewline
103 & 72.9 & 77.614 & 94.4333 & -16.8193 & -4.71401 \tabularnewline
104 & 85.6 & 83.433 & 94.4625 & -11.0295 & 2.16701 \tabularnewline
105 & 97.4 & 105.095 & 95.1292 & 9.9654 & -7.69457 \tabularnewline
106 & 101.2 & 106.974 & 95.35 & 11.6237 & -5.77373 \tabularnewline
107 & 99.2 & 96.977 & 94.7 & 2.27697 & 2.22303 \tabularnewline
108 & 107.6 & 111.77 & 94.9083 & 16.8617 & -4.17003 \tabularnewline
109 & 88.3 & 84.4853 & 95.45 & -10.9647 & 3.81469 \tabularnewline
110 & 94.6 & 89.5548 & 95.8167 & -6.26192 & 5.04525 \tabularnewline
111 & 112.2 & NA & NA & 8.64277 & NA \tabularnewline
112 & 85.4 & NA & NA & -7.2916 & NA \tabularnewline
113 & 87.5 & NA & NA & -5.07337 & NA \tabularnewline
114 & 110.8 & NA & NA & 8.06985 & NA \tabularnewline
115 & 78.3 & NA & NA & -16.8193 & NA \tabularnewline
116 & 89 & NA & NA & -11.0295 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309928&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]101.5[/C][C]NA[/C][C]NA[/C][C]-10.9647[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]110.4[/C][C]NA[/C][C]NA[/C][C]-6.26192[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]107.3[/C][C]NA[/C][C]NA[/C][C]8.64277[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]107.7[/C][C]NA[/C][C]NA[/C][C]-7.2916[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]98.3[/C][C]NA[/C][C]NA[/C][C]-5.07337[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]130.3[/C][C]NA[/C][C]NA[/C][C]8.06985[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]89.1[/C][C]87.4432[/C][C]104.262[/C][C]-16.8193[/C][C]1.65682[/C][/ROW]
[ROW][C]8[/C][C]100.4[/C][C]90.6622[/C][C]101.692[/C][C]-11.0295[/C][C]9.73784[/C][/ROW]
[ROW][C]9[/C][C]121.1[/C][C]109.499[/C][C]99.5333[/C][C]9.9654[/C][C]11.6013[/C][/ROW]
[ROW][C]10[/C][C]109.3[/C][C]109.549[/C][C]97.925[/C][C]11.6237[/C][C]-0.248732[/C][/ROW]
[ROW][C]11[/C][C]87.4[/C][C]98.5311[/C][C]96.2542[/C][C]2.27697[/C][C]-11.1311[/C][/ROW]
[ROW][C]12[/C][C]101.3[/C][C]111.133[/C][C]94.2708[/C][C]16.8617[/C][C]-9.83253[/C][/ROW]
[ROW][C]13[/C][C]75.6[/C][C]81.027[/C][C]91.9917[/C][C]-10.9647[/C][C]-5.42697[/C][/ROW]
[ROW][C]14[/C][C]74.6[/C][C]84.1423[/C][C]90.4042[/C][C]-6.26192[/C][C]-9.54225[/C][/ROW]
[ROW][C]15[/C][C]91.3[/C][C]97.8053[/C][C]89.1625[/C][C]8.64277[/C][C]-6.50527[/C][/ROW]
[ROW][C]16[/C][C]85.1[/C][C]80.5084[/C][C]87.8[/C][C]-7.2916[/C][C]4.5916[/C][/ROW]
[ROW][C]17[/C][C]80.8[/C][C]82.3433[/C][C]87.4167[/C][C]-5.07337[/C][C]-1.54329[/C][/ROW]
[ROW][C]18[/C][C]100.2[/C][C]96.4949[/C][C]88.425[/C][C]8.06985[/C][C]3.70515[/C][/ROW]
[ROW][C]19[/C][C]64.5[/C][C]72.4098[/C][C]89.2292[/C][C]-16.8193[/C][C]-7.90984[/C][/ROW]
[ROW][C]20[/C][C]86.9[/C][C]78.7288[/C][C]89.7583[/C][C]-11.0295[/C][C]8.17118[/C][/ROW]
[ROW][C]21[/C][C]104.8[/C][C]101.04[/C][C]91.075[/C][C]9.9654[/C][C]3.7596[/C][/ROW]
[ROW][C]22[/C][C]92.9[/C][C]103.47[/C][C]91.8458[/C][C]11.6237[/C][C]-10.5696[/C][/ROW]
[ROW][C]23[/C][C]94.6[/C][C]94.077[/C][C]91.8[/C][C]2.27697[/C][C]0.523028[/C][/ROW]
[ROW][C]24[/C][C]118.3[/C][C]109.133[/C][C]92.2708[/C][C]16.8617[/C][C]9.16747[/C][/ROW]
[ROW][C]25[/C][C]77.9[/C][C]82.6436[/C][C]93.6083[/C][C]-10.9647[/C][C]-4.74364[/C][/ROW]
[ROW][C]26[/C][C]85[/C][C]88.5464[/C][C]94.8083[/C][C]-6.26192[/C][C]-3.54642[/C][/ROW]
[ROW][C]27[/C][C]112.5[/C][C]104.143[/C][C]95.5[/C][C]8.64277[/C][C]8.35723[/C][/ROW]
[ROW][C]28[/C][C]82.4[/C][C]89.7001[/C][C]96.9917[/C][C]-7.2916[/C][C]-7.30006[/C][/ROW]
[ROW][C]29[/C][C]82.4[/C][C]93.7725[/C][C]98.8458[/C][C]-5.07337[/C][C]-11.3725[/C][/ROW]
[ROW][C]30[/C][C]109.9[/C][C]107.887[/C][C]99.8167[/C][C]8.06985[/C][C]2.01348[/C][/ROW]
[ROW][C]31[/C][C]86.9[/C][C]84.1973[/C][C]101.017[/C][C]-16.8193[/C][C]2.70266[/C][/ROW]
[ROW][C]32[/C][C]93.3[/C][C]91.5538[/C][C]102.583[/C][C]-11.0295[/C][C]1.74618[/C][/ROW]
[ROW][C]33[/C][C]115[/C][C]113.29[/C][C]103.325[/C][C]9.9654[/C][C]1.7096[/C][/ROW]
[ROW][C]34[/C][C]118.5[/C][C]115.115[/C][C]103.492[/C][C]11.6237[/C][C]3.3846[/C][/ROW]
[ROW][C]35[/C][C]113.5[/C][C]106.706[/C][C]104.429[/C][C]2.27697[/C][C]6.79386[/C][/ROW]
[ROW][C]36[/C][C]122.7[/C][C]121.558[/C][C]104.696[/C][C]16.8617[/C][C]1.14247[/C][/ROW]
[ROW][C]37[/C][C]102.3[/C][C]92.6978[/C][C]103.663[/C][C]-10.9647[/C][C]9.60219[/C][/ROW]
[ROW][C]38[/C][C]98.2[/C][C]96.8089[/C][C]103.071[/C][C]-6.26192[/C][C]1.39108[/C][/ROW]
[ROW][C]39[/C][C]117.1[/C][C]111.314[/C][C]102.671[/C][C]8.64277[/C][C]5.7864[/C][/ROW]
[ROW][C]40[/C][C]81.8[/C][C]94.8709[/C][C]102.162[/C][C]-7.2916[/C][C]-13.0709[/C][/ROW]
[ROW][C]41[/C][C]105.5[/C][C]96.1933[/C][C]101.267[/C][C]-5.07337[/C][C]9.30671[/C][/ROW]
[ROW][C]42[/C][C]93.2[/C][C]108.199[/C][C]100.129[/C][C]8.06985[/C][C]-14.999[/C][/ROW]
[ROW][C]43[/C][C]78.8[/C][C]81.9348[/C][C]98.7542[/C][C]-16.8193[/C][C]-3.13484[/C][/ROW]
[ROW][C]44[/C][C]87.2[/C][C]86.6955[/C][C]97.725[/C][C]-11.0295[/C][C]0.504509[/C][/ROW]
[ROW][C]45[/C][C]111.5[/C][C]107.632[/C][C]97.6667[/C][C]9.9654[/C][C]3.86793[/C][/ROW]
[ROW][C]46[/C][C]109.8[/C][C]109.67[/C][C]98.0458[/C][C]11.6237[/C][C]0.130435[/C][/ROW]
[ROW][C]47[/C][C]100.7[/C][C]100.214[/C][C]97.9375[/C][C]2.27697[/C][C]0.485528[/C][/ROW]
[ROW][C]48[/C][C]108.2[/C][C]115.653[/C][C]98.7917[/C][C]16.8617[/C][C]-7.45336[/C][/ROW]
[ROW][C]49[/C][C]83.8[/C][C]89.3603[/C][C]100.325[/C][C]-10.9647[/C][C]-5.56031[/C][/ROW]
[ROW][C]50[/C][C]92[/C][C]94.1631[/C][C]100.425[/C][C]-6.26192[/C][C]-2.16308[/C][/ROW]
[ROW][C]51[/C][C]121.9[/C][C]108.084[/C][C]99.4417[/C][C]8.64277[/C][C]13.8156[/C][/ROW]
[ROW][C]52[/C][C]86.1[/C][C]91.5417[/C][C]98.8333[/C][C]-7.2916[/C][C]-5.44173[/C][/ROW]
[ROW][C]53[/C][C]98.6[/C][C]93.7516[/C][C]98.825[/C][C]-5.07337[/C][C]4.84837[/C][/ROW]
[ROW][C]54[/C][C]120.6[/C][C]106.653[/C][C]98.5833[/C][C]8.06985[/C][C]13.9468[/C][/ROW]
[ROW][C]55[/C][C]88.2[/C][C]81.5432[/C][C]98.3625[/C][C]-16.8193[/C][C]6.65682[/C][/ROW]
[ROW][C]56[/C][C]80.2[/C][C]87.0747[/C][C]98.1042[/C][C]-11.0295[/C][C]-6.87466[/C][/ROW]
[ROW][C]57[/C][C]94.9[/C][C]106.89[/C][C]96.925[/C][C]9.9654[/C][C]-11.9904[/C][/ROW]
[ROW][C]58[/C][C]111.8[/C][C]107.628[/C][C]96.0042[/C][C]11.6237[/C][C]4.1721[/C][/ROW]
[ROW][C]59[/C][C]98.5[/C][C]97.8686[/C][C]95.5917[/C][C]2.27697[/C][C]0.631361[/C][/ROW]
[ROW][C]60[/C][C]104.6[/C][C]111.133[/C][C]94.2708[/C][C]16.8617[/C][C]-6.53253[/C][/ROW]
[ROW][C]61[/C][C]82.1[/C][C]82.052[/C][C]93.0167[/C][C]-10.9647[/C][C]0.0480276[/C][/ROW]
[ROW][C]62[/C][C]87.5[/C][C]85.9673[/C][C]92.2292[/C][C]-6.26192[/C][C]1.53275[/C][/ROW]
[ROW][C]63[/C][C]98.1[/C][C]100.334[/C][C]91.6917[/C][C]8.64277[/C][C]-2.23444[/C][/ROW]
[ROW][C]64[/C][C]87.8[/C][C]84.0959[/C][C]91.3875[/C][C]-7.2916[/C][C]3.7041[/C][/ROW]
[ROW][C]65[/C][C]87[/C][C]85.7558[/C][C]90.8292[/C][C]-5.07337[/C][C]1.24421[/C][/ROW]
[ROW][C]66[/C][C]100.5[/C][C]98.8449[/C][C]90.775[/C][C]8.06985[/C][C]1.65515[/C][/ROW]
[ROW][C]67[/C][C]78.2[/C][C]74.414[/C][C]91.2333[/C][C]-16.8193[/C][C]3.78599[/C][/ROW]
[ROW][C]68[/C][C]71.3[/C][C]80.1747[/C][C]91.2042[/C][C]-11.0295[/C][C]-8.87466[/C][/ROW]
[ROW][C]69[/C][C]90.9[/C][C]100.795[/C][C]90.8292[/C][C]9.9654[/C][C]-9.89457[/C][/ROW]
[ROW][C]70[/C][C]108.5[/C][C]102.157[/C][C]90.5333[/C][C]11.6237[/C][C]6.34293[/C][/ROW]
[ROW][C]71[/C][C]88.4[/C][C]92.802[/C][C]90.525[/C][C]2.27697[/C][C]-4.40197[/C][/ROW]
[ROW][C]72[/C][C]113.4[/C][C]107.02[/C][C]90.1583[/C][C]16.8617[/C][C]6.37997[/C][/ROW]
[ROW][C]73[/C][C]84.3[/C][C]78.9811[/C][C]89.9458[/C][C]-10.9647[/C][C]5.31886[/C][/ROW]
[ROW][C]74[/C][C]84.6[/C][C]84.2423[/C][C]90.5042[/C][C]-6.26192[/C][C]0.35775[/C][/ROW]
[ROW][C]75[/C][C]92[/C][C]99.9136[/C][C]91.2708[/C][C]8.64277[/C][C]-7.9136[/C][/ROW]
[ROW][C]76[/C][C]86.8[/C][C]84.2292[/C][C]91.5208[/C][C]-7.2916[/C][C]2.57077[/C][/ROW]
[ROW][C]77[/C][C]87.8[/C][C]86.4891[/C][C]91.5625[/C][C]-5.07337[/C][C]1.31087[/C][/ROW]
[ROW][C]78[/C][C]90.9[/C][C]100.045[/C][C]91.975[/C][C]8.06985[/C][C]-9.14485[/C][/ROW]
[ROW][C]79[/C][C]82.7[/C][C]74.964[/C][C]91.7833[/C][C]-16.8193[/C][C]7.73599[/C][/ROW]
[ROW][C]80[/C][C]80.2[/C][C]80.2247[/C][C]91.2542[/C][C]-11.0295[/C][C]-0.0246576[/C][/ROW]
[ROW][C]81[/C][C]100.4[/C][C]101.303[/C][C]91.3375[/C][C]9.9654[/C][C]-0.902898[/C][/ROW]
[ROW][C]82[/C][C]105[/C][C]103.136[/C][C]91.5125[/C][C]11.6237[/C][C]1.86377[/C][/ROW]
[ROW][C]83[/C][C]92.9[/C][C]93.4603[/C][C]91.1833[/C][C]2.27697[/C][C]-0.560306[/C][/ROW]
[ROW][C]84[/C][C]118.8[/C][C]108.116[/C][C]91.2542[/C][C]16.8617[/C][C]10.6841[/C][/ROW]
[ROW][C]85[/C][C]74.3[/C][C]79.9811[/C][C]90.9458[/C][C]-10.9647[/C][C]-5.68114[/C][/ROW]
[ROW][C]86[/C][C]81.9[/C][C]83.7089[/C][C]89.9708[/C][C]-6.26192[/C][C]-1.80892[/C][/ROW]
[ROW][C]87[/C][C]96.7[/C][C]98.7636[/C][C]90.1208[/C][C]8.64277[/C][C]-2.0636[/C][/ROW]
[ROW][C]88[/C][C]86.3[/C][C]83.2292[/C][C]90.5208[/C][C]-7.2916[/C][C]3.07077[/C][/ROW]
[ROW][C]89[/C][C]80.4[/C][C]85.7225[/C][C]90.7958[/C][C]-5.07337[/C][C]-5.32246[/C][/ROW]
[ROW][C]90[/C][C]100[/C][C]98.8407[/C][C]90.7708[/C][C]8.06985[/C][C]1.15931[/C][/ROW]
[ROW][C]91[/C][C]66.2[/C][C]74.0723[/C][C]90.8917[/C][C]-16.8193[/C][C]-7.87234[/C][/ROW]
[ROW][C]92[/C][C]73.3[/C][C]80.9455[/C][C]91.975[/C][C]-11.0295[/C][C]-7.64549[/C][/ROW]
[ROW][C]93[/C][C]110.9[/C][C]102.449[/C][C]92.4833[/C][C]9.9654[/C][C]8.45127[/C][/ROW]
[ROW][C]94[/C][C]104.1[/C][C]104.495[/C][C]92.8708[/C][C]11.6237[/C][C]-0.394565[/C][/ROW]
[ROW][C]95[/C][C]100.4[/C][C]96.0561[/C][C]93.7792[/C][C]2.27697[/C][C]4.34386[/C][/ROW]
[ROW][C]96[/C][C]110.7[/C][C]111.178[/C][C]94.3167[/C][C]16.8617[/C][C]-0.478361[/C][/ROW]
[ROW][C]97[/C][C]85.3[/C][C]83.7645[/C][C]94.7292[/C][C]-10.9647[/C][C]1.53553[/C][/ROW]
[ROW][C]98[/C][C]96.9[/C][C]89.2589[/C][C]95.5208[/C][C]-6.26192[/C][C]7.64108[/C][/ROW]
[ROW][C]99[/C][C]93.9[/C][C]104.114[/C][C]95.4708[/C][C]8.64277[/C][C]-10.2136[/C][/ROW]
[ROW][C]100[/C][C]98.4[/C][C]87.4959[/C][C]94.7875[/C][C]-7.2916[/C][C]10.9041[/C][/ROW]
[ROW][C]101[/C][C]90.1[/C][C]89.5433[/C][C]94.6167[/C][C]-5.07337[/C][C]0.556708[/C][/ROW]
[ROW][C]102[/C][C]103.2[/C][C]102.507[/C][C]94.4375[/C][C]8.06985[/C][C]0.692646[/C][/ROW]
[ROW][C]103[/C][C]72.9[/C][C]77.614[/C][C]94.4333[/C][C]-16.8193[/C][C]-4.71401[/C][/ROW]
[ROW][C]104[/C][C]85.6[/C][C]83.433[/C][C]94.4625[/C][C]-11.0295[/C][C]2.16701[/C][/ROW]
[ROW][C]105[/C][C]97.4[/C][C]105.095[/C][C]95.1292[/C][C]9.9654[/C][C]-7.69457[/C][/ROW]
[ROW][C]106[/C][C]101.2[/C][C]106.974[/C][C]95.35[/C][C]11.6237[/C][C]-5.77373[/C][/ROW]
[ROW][C]107[/C][C]99.2[/C][C]96.977[/C][C]94.7[/C][C]2.27697[/C][C]2.22303[/C][/ROW]
[ROW][C]108[/C][C]107.6[/C][C]111.77[/C][C]94.9083[/C][C]16.8617[/C][C]-4.17003[/C][/ROW]
[ROW][C]109[/C][C]88.3[/C][C]84.4853[/C][C]95.45[/C][C]-10.9647[/C][C]3.81469[/C][/ROW]
[ROW][C]110[/C][C]94.6[/C][C]89.5548[/C][C]95.8167[/C][C]-6.26192[/C][C]5.04525[/C][/ROW]
[ROW][C]111[/C][C]112.2[/C][C]NA[/C][C]NA[/C][C]8.64277[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]85.4[/C][C]NA[/C][C]NA[/C][C]-7.2916[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]87.5[/C][C]NA[/C][C]NA[/C][C]-5.07337[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]110.8[/C][C]NA[/C][C]NA[/C][C]8.06985[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]78.3[/C][C]NA[/C][C]NA[/C][C]-16.8193[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]89[/C][C]NA[/C][C]NA[/C][C]-11.0295[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309928&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309928&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
1101.5NANA-10.9647NA
2110.4NANA-6.26192NA
3107.3NANA8.64277NA
4107.7NANA-7.2916NA
598.3NANA-5.07337NA
6130.3NANA8.06985NA
789.187.4432104.262-16.81931.65682
8100.490.6622101.692-11.02959.73784
9121.1109.49999.53339.965411.6013
10109.3109.54997.92511.6237-0.248732
1187.498.531196.25422.27697-11.1311
12101.3111.13394.270816.8617-9.83253
1375.681.02791.9917-10.9647-5.42697
1474.684.142390.4042-6.26192-9.54225
1591.397.805389.16258.64277-6.50527
1685.180.508487.8-7.29164.5916
1780.882.343387.4167-5.07337-1.54329
18100.296.494988.4258.069853.70515
1964.572.409889.2292-16.8193-7.90984
2086.978.728889.7583-11.02958.17118
21104.8101.0491.0759.96543.7596
2292.9103.4791.845811.6237-10.5696
2394.694.07791.82.276970.523028
24118.3109.13392.270816.86179.16747
2577.982.643693.6083-10.9647-4.74364
268588.546494.8083-6.26192-3.54642
27112.5104.14395.58.642778.35723
2882.489.700196.9917-7.2916-7.30006
2982.493.772598.8458-5.07337-11.3725
30109.9107.88799.81678.069852.01348
3186.984.1973101.017-16.81932.70266
3293.391.5538102.583-11.02951.74618
33115113.29103.3259.96541.7096
34118.5115.115103.49211.62373.3846
35113.5106.706104.4292.276976.79386
36122.7121.558104.69616.86171.14247
37102.392.6978103.663-10.96479.60219
3898.296.8089103.071-6.261921.39108
39117.1111.314102.6718.642775.7864
4081.894.8709102.162-7.2916-13.0709
41105.596.1933101.267-5.073379.30671
4293.2108.199100.1298.06985-14.999
4378.881.934898.7542-16.8193-3.13484
4487.286.695597.725-11.02950.504509
45111.5107.63297.66679.96543.86793
46109.8109.6798.045811.62370.130435
47100.7100.21497.93752.276970.485528
48108.2115.65398.791716.8617-7.45336
4983.889.3603100.325-10.9647-5.56031
509294.1631100.425-6.26192-2.16308
51121.9108.08499.44178.6427713.8156
5286.191.541798.8333-7.2916-5.44173
5398.693.751698.825-5.073374.84837
54120.6106.65398.58338.0698513.9468
5588.281.543298.3625-16.81936.65682
5680.287.074798.1042-11.0295-6.87466
5794.9106.8996.9259.9654-11.9904
58111.8107.62896.004211.62374.1721
5998.597.868695.59172.276970.631361
60104.6111.13394.270816.8617-6.53253
6182.182.05293.0167-10.96470.0480276
6287.585.967392.2292-6.261921.53275
6398.1100.33491.69178.64277-2.23444
6487.884.095991.3875-7.29163.7041
658785.755890.8292-5.073371.24421
66100.598.844990.7758.069851.65515
6778.274.41491.2333-16.81933.78599
6871.380.174791.2042-11.0295-8.87466
6990.9100.79590.82929.9654-9.89457
70108.5102.15790.533311.62376.34293
7188.492.80290.5252.27697-4.40197
72113.4107.0290.158316.86176.37997
7384.378.981189.9458-10.96475.31886
7484.684.242390.5042-6.261920.35775
759299.913691.27088.64277-7.9136
7686.884.229291.5208-7.29162.57077
7787.886.489191.5625-5.073371.31087
7890.9100.04591.9758.06985-9.14485
7982.774.96491.7833-16.81937.73599
8080.280.224791.2542-11.0295-0.0246576
81100.4101.30391.33759.9654-0.902898
82105103.13691.512511.62371.86377
8392.993.460391.18332.27697-0.560306
84118.8108.11691.254216.861710.6841
8574.379.981190.9458-10.9647-5.68114
8681.983.708989.9708-6.26192-1.80892
8796.798.763690.12088.64277-2.0636
8886.383.229290.5208-7.29163.07077
8980.485.722590.7958-5.07337-5.32246
9010098.840790.77088.069851.15931
9166.274.072390.8917-16.8193-7.87234
9273.380.945591.975-11.0295-7.64549
93110.9102.44992.48339.96548.45127
94104.1104.49592.870811.6237-0.394565
95100.496.056193.77922.276974.34386
96110.7111.17894.316716.8617-0.478361
9785.383.764594.7292-10.96471.53553
9896.989.258995.5208-6.261927.64108
9993.9104.11495.47088.64277-10.2136
10098.487.495994.7875-7.291610.9041
10190.189.543394.6167-5.073370.556708
102103.2102.50794.43758.069850.692646
10372.977.61494.4333-16.8193-4.71401
10485.683.43394.4625-11.02952.16701
10597.4105.09595.12929.9654-7.69457
106101.2106.97495.3511.6237-5.77373
10799.296.97794.72.276972.22303
108107.6111.7794.908316.8617-4.17003
10988.384.485395.45-10.96473.81469
11094.689.554895.8167-6.261925.04525
111112.2NANA8.64277NA
11285.4NANA-7.2916NA
11387.5NANA-5.07337NA
114110.8NANA8.06985NA
11578.3NANA-16.8193NA
11689NANA-11.0295NA



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')