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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 24 Apr 2016 16:25:07 +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/2016/Apr/24/t1461511535jnoohmsuwnd6i1w.htm/, Retrieved Tue, 30 Apr 2024 09:59:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294640, Retrieved Tue, 30 Apr 2024 09:59:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-04-24 15:25:07] [383002b29a4d7fe40259202a4bc884b2] [Current]
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Dataseries X:
87.16
87.16
87.16
87.16
87.16
87.16
87.16
87.16
87.16
89.24
89.24
89.24
89.24
89.24
89.24
89.24
89.24
89.24
89.24
89.24
89.24
91
91
91
91
91
91
91
91
91
91
91
91
92.51
92.51
92.51
92.51
92.51
92.51
92.51
92.51
92.51
92.51
92.51
92.51
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.67
96.19
96.19
96.19
96.19
96.19
96.19
96.19
96.19
96.19
96.19
96.19
96.19
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.13
99.58
99.58
99.58
99.58
99.58
99.58
99.58
99.58
99.58
99.58
99.58
99.58
101.27
101.27
101.27
101.25
101.25
101.25
101.25
101.25
101.25
101.25
101.25
101.25
102.55
102.55
102.55
102.55
102.55
102.55
102.55
102.55
102.55
102.55
102.55
102.55
132.09
132.09
132.09




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294640&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294640&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294640&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
187.16NANA1.00463NA
287.16NANA1.00313NA
387.16NANA1.00163NA
487.16NANA0.998918NA
587.16NANA0.995071NA
687.16NANA0.991346NA
787.1687.379287.76670.9955850.997492
887.1687.419987.940.9940850.997027
987.1687.460688.11330.9925930.996563
1089.2489.09888.28671.009191.00159
1189.2489.138488.461.007671.00114
1289.2489.178988.63331.006161.00069
1389.2489.217588.80671.004631.00025
1489.2489.258288.981.003130.999796
1589.2489.29989.15331.001630.999339
1689.2489.216789.31330.9989181.00026
1789.2489.019189.460.9950711.00248
1889.2488.831289.60670.9913461.0046
1989.2489.357189.75330.9955850.99869
2089.2489.368389.90.9940850.998565
2189.2489.379790.04670.9925930.998437
229191.022290.19331.009190.999756
239191.032890.341.007670.999639
249191.043690.48671.006160.999521
259191.052790.63331.004630.999422
269191.063890.781.003130.999299
279191.075290.92671.001630.999174
289190.964491.06290.9989181.00039
299190.739391.18880.9950711.00287
309190.524391.31460.9913461.00525
319191.036791.44040.9955850.999597
329191.024791.56620.9940850.999729
339191.012991.69210.9925930.999858
3492.5192.661791.81791.009190.998363
3592.5192.648991.94381.007670.998501
3692.5192.636392.06961.006160.998637
3792.5192.62292.19541.004630.998791
3892.5192.609992.32121.003130.998921
3992.5192.598192.44711.001630.999048
4092.5192.583192.68330.9989180.999211
4192.5192.571593.030.9950710.999336
4292.5192.568693.37670.9913460.999367
4392.5193.309693.72330.9955850.991431
4492.5193.513694.070.9940850.989268
4592.5193.717394.41670.9925930.987118
4696.6795.634294.76331.009191.01083
4796.6795.839495.111.007671.00867
4896.6796.044295.45671.006161.00652
4996.6796.246695.80331.004631.0044
5096.6796.450696.151.003131.00227
5196.6796.654396.49671.001631.00016
5296.6796.545496.650.9989181.00129
5396.6796.133896.610.9950711.00558
5496.6795.734396.570.9913461.00977
5596.6796.103896.530.9955851.00589
5696.6795.919396.490.9940851.00783
5796.6795.735696.450.9925931.00976
5896.1997.29696.411.009190.988633
5996.1997.109196.371.007670.990536
6096.1996.922996.331.006160.992438
6196.1996.735596.291.004630.994361
6296.1996.55196.251.003130.996262
6396.1996.367296.211.001630.998161
6496.1996.208396.31250.9989180.99981
6596.1996.081696.55750.9950711.00113
6696.1995.964896.80250.9913461.00235
6796.1996.61997.04750.9955850.995559
6896.1996.71797.29250.9940850.994551
6996.1996.81597.53750.9925930.993544
7099.1398.681197.78251.009191.00455
7199.1398.779398.02751.007671.00355
7299.1398.877498.27251.006161.00255
7399.1398.973398.51751.004631.00158
7499.1399.071398.76251.003131.00059
7599.1399.169399.00751.001630.999604
7699.1399.041599.14870.9989181.00089
7799.1398.697499.18620.9950711.00438
7899.1398.365199.22380.9913461.00778
7999.1398.82399.26120.9955851.00311
8099.1398.711499.29880.9940851.00424
8199.1398.600499.33620.9925931.00537
8299.58100.28799.37381.009190.99295
8399.58100.17499.41121.007670.994074
8499.58100.06199.44881.006160.995194
8599.5899.946599.48621.004630.996333
8699.5899.834999.52371.003130.997446
8799.5899.723999.56121.001630.998557
8899.5899.542699.65040.9989181.00038
8999.5899.299499.79120.9950711.00283
9099.5899.067399.93210.9913461.00518
9199.5899.6303100.0720.9955850.999495
9299.5899.6185100.2110.9940850.999613
9399.5899.6071100.350.9925930.999728
94101.27101.413100.491.009190.998589
95101.27101.4100.6291.007670.998713
96101.27101.388100.7681.006160.998834
97101.25101.374100.9071.004630.998777
98101.25101.362101.0461.003130.998893
99101.25101.351101.1851.001630.999006
100101.25101.199101.3080.9989181.00051
101101.25100.915101.4150.9950711.00332
102101.25100.643101.5220.9913461.00603
103101.25101.18101.6290.9955851.00069
104101.25101.136101.7380.9940851.00113
105101.25101.091101.8460.9925931.00157
106102.55102.891101.9541.009190.996685
107102.55102.845102.0621.007670.997129
108102.55102.8102.1711.006160.997571
109102.55102.752102.2791.004630.998031
110102.55102.708102.3881.003130.998465
111102.55102.663102.4961.001630.998896
112102.55103.669103.7810.9989180.98921
113102.55105.719106.2420.9950710.970026
114102.55107.763108.7040.9913460.951622
115102.55NANA0.995585NA
116102.55NANA0.994085NA
117102.55NANA0.992593NA
118132.09NANA1.00919NA
119132.09NANA1.00767NA
120132.09NANA1.00616NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 87.16 & NA & NA & 1.00463 & NA \tabularnewline
2 & 87.16 & NA & NA & 1.00313 & NA \tabularnewline
3 & 87.16 & NA & NA & 1.00163 & NA \tabularnewline
4 & 87.16 & NA & NA & 0.998918 & NA \tabularnewline
5 & 87.16 & NA & NA & 0.995071 & NA \tabularnewline
6 & 87.16 & NA & NA & 0.991346 & NA \tabularnewline
7 & 87.16 & 87.3792 & 87.7667 & 0.995585 & 0.997492 \tabularnewline
8 & 87.16 & 87.4199 & 87.94 & 0.994085 & 0.997027 \tabularnewline
9 & 87.16 & 87.4606 & 88.1133 & 0.992593 & 0.996563 \tabularnewline
10 & 89.24 & 89.098 & 88.2867 & 1.00919 & 1.00159 \tabularnewline
11 & 89.24 & 89.1384 & 88.46 & 1.00767 & 1.00114 \tabularnewline
12 & 89.24 & 89.1789 & 88.6333 & 1.00616 & 1.00069 \tabularnewline
13 & 89.24 & 89.2175 & 88.8067 & 1.00463 & 1.00025 \tabularnewline
14 & 89.24 & 89.2582 & 88.98 & 1.00313 & 0.999796 \tabularnewline
15 & 89.24 & 89.299 & 89.1533 & 1.00163 & 0.999339 \tabularnewline
16 & 89.24 & 89.2167 & 89.3133 & 0.998918 & 1.00026 \tabularnewline
17 & 89.24 & 89.0191 & 89.46 & 0.995071 & 1.00248 \tabularnewline
18 & 89.24 & 88.8312 & 89.6067 & 0.991346 & 1.0046 \tabularnewline
19 & 89.24 & 89.3571 & 89.7533 & 0.995585 & 0.99869 \tabularnewline
20 & 89.24 & 89.3683 & 89.9 & 0.994085 & 0.998565 \tabularnewline
21 & 89.24 & 89.3797 & 90.0467 & 0.992593 & 0.998437 \tabularnewline
22 & 91 & 91.0222 & 90.1933 & 1.00919 & 0.999756 \tabularnewline
23 & 91 & 91.0328 & 90.34 & 1.00767 & 0.999639 \tabularnewline
24 & 91 & 91.0436 & 90.4867 & 1.00616 & 0.999521 \tabularnewline
25 & 91 & 91.0527 & 90.6333 & 1.00463 & 0.999422 \tabularnewline
26 & 91 & 91.0638 & 90.78 & 1.00313 & 0.999299 \tabularnewline
27 & 91 & 91.0752 & 90.9267 & 1.00163 & 0.999174 \tabularnewline
28 & 91 & 90.9644 & 91.0629 & 0.998918 & 1.00039 \tabularnewline
29 & 91 & 90.7393 & 91.1888 & 0.995071 & 1.00287 \tabularnewline
30 & 91 & 90.5243 & 91.3146 & 0.991346 & 1.00525 \tabularnewline
31 & 91 & 91.0367 & 91.4404 & 0.995585 & 0.999597 \tabularnewline
32 & 91 & 91.0247 & 91.5662 & 0.994085 & 0.999729 \tabularnewline
33 & 91 & 91.0129 & 91.6921 & 0.992593 & 0.999858 \tabularnewline
34 & 92.51 & 92.6617 & 91.8179 & 1.00919 & 0.998363 \tabularnewline
35 & 92.51 & 92.6489 & 91.9438 & 1.00767 & 0.998501 \tabularnewline
36 & 92.51 & 92.6363 & 92.0696 & 1.00616 & 0.998637 \tabularnewline
37 & 92.51 & 92.622 & 92.1954 & 1.00463 & 0.998791 \tabularnewline
38 & 92.51 & 92.6099 & 92.3212 & 1.00313 & 0.998921 \tabularnewline
39 & 92.51 & 92.5981 & 92.4471 & 1.00163 & 0.999048 \tabularnewline
40 & 92.51 & 92.5831 & 92.6833 & 0.998918 & 0.999211 \tabularnewline
41 & 92.51 & 92.5715 & 93.03 & 0.995071 & 0.999336 \tabularnewline
42 & 92.51 & 92.5686 & 93.3767 & 0.991346 & 0.999367 \tabularnewline
43 & 92.51 & 93.3096 & 93.7233 & 0.995585 & 0.991431 \tabularnewline
44 & 92.51 & 93.5136 & 94.07 & 0.994085 & 0.989268 \tabularnewline
45 & 92.51 & 93.7173 & 94.4167 & 0.992593 & 0.987118 \tabularnewline
46 & 96.67 & 95.6342 & 94.7633 & 1.00919 & 1.01083 \tabularnewline
47 & 96.67 & 95.8394 & 95.11 & 1.00767 & 1.00867 \tabularnewline
48 & 96.67 & 96.0442 & 95.4567 & 1.00616 & 1.00652 \tabularnewline
49 & 96.67 & 96.2466 & 95.8033 & 1.00463 & 1.0044 \tabularnewline
50 & 96.67 & 96.4506 & 96.15 & 1.00313 & 1.00227 \tabularnewline
51 & 96.67 & 96.6543 & 96.4967 & 1.00163 & 1.00016 \tabularnewline
52 & 96.67 & 96.5454 & 96.65 & 0.998918 & 1.00129 \tabularnewline
53 & 96.67 & 96.1338 & 96.61 & 0.995071 & 1.00558 \tabularnewline
54 & 96.67 & 95.7343 & 96.57 & 0.991346 & 1.00977 \tabularnewline
55 & 96.67 & 96.1038 & 96.53 & 0.995585 & 1.00589 \tabularnewline
56 & 96.67 & 95.9193 & 96.49 & 0.994085 & 1.00783 \tabularnewline
57 & 96.67 & 95.7356 & 96.45 & 0.992593 & 1.00976 \tabularnewline
58 & 96.19 & 97.296 & 96.41 & 1.00919 & 0.988633 \tabularnewline
59 & 96.19 & 97.1091 & 96.37 & 1.00767 & 0.990536 \tabularnewline
60 & 96.19 & 96.9229 & 96.33 & 1.00616 & 0.992438 \tabularnewline
61 & 96.19 & 96.7355 & 96.29 & 1.00463 & 0.994361 \tabularnewline
62 & 96.19 & 96.551 & 96.25 & 1.00313 & 0.996262 \tabularnewline
63 & 96.19 & 96.3672 & 96.21 & 1.00163 & 0.998161 \tabularnewline
64 & 96.19 & 96.2083 & 96.3125 & 0.998918 & 0.99981 \tabularnewline
65 & 96.19 & 96.0816 & 96.5575 & 0.995071 & 1.00113 \tabularnewline
66 & 96.19 & 95.9648 & 96.8025 & 0.991346 & 1.00235 \tabularnewline
67 & 96.19 & 96.619 & 97.0475 & 0.995585 & 0.995559 \tabularnewline
68 & 96.19 & 96.717 & 97.2925 & 0.994085 & 0.994551 \tabularnewline
69 & 96.19 & 96.815 & 97.5375 & 0.992593 & 0.993544 \tabularnewline
70 & 99.13 & 98.6811 & 97.7825 & 1.00919 & 1.00455 \tabularnewline
71 & 99.13 & 98.7793 & 98.0275 & 1.00767 & 1.00355 \tabularnewline
72 & 99.13 & 98.8774 & 98.2725 & 1.00616 & 1.00255 \tabularnewline
73 & 99.13 & 98.9733 & 98.5175 & 1.00463 & 1.00158 \tabularnewline
74 & 99.13 & 99.0713 & 98.7625 & 1.00313 & 1.00059 \tabularnewline
75 & 99.13 & 99.1693 & 99.0075 & 1.00163 & 0.999604 \tabularnewline
76 & 99.13 & 99.0415 & 99.1487 & 0.998918 & 1.00089 \tabularnewline
77 & 99.13 & 98.6974 & 99.1862 & 0.995071 & 1.00438 \tabularnewline
78 & 99.13 & 98.3651 & 99.2238 & 0.991346 & 1.00778 \tabularnewline
79 & 99.13 & 98.823 & 99.2612 & 0.995585 & 1.00311 \tabularnewline
80 & 99.13 & 98.7114 & 99.2988 & 0.994085 & 1.00424 \tabularnewline
81 & 99.13 & 98.6004 & 99.3362 & 0.992593 & 1.00537 \tabularnewline
82 & 99.58 & 100.287 & 99.3738 & 1.00919 & 0.99295 \tabularnewline
83 & 99.58 & 100.174 & 99.4112 & 1.00767 & 0.994074 \tabularnewline
84 & 99.58 & 100.061 & 99.4488 & 1.00616 & 0.995194 \tabularnewline
85 & 99.58 & 99.9465 & 99.4862 & 1.00463 & 0.996333 \tabularnewline
86 & 99.58 & 99.8349 & 99.5237 & 1.00313 & 0.997446 \tabularnewline
87 & 99.58 & 99.7239 & 99.5612 & 1.00163 & 0.998557 \tabularnewline
88 & 99.58 & 99.5426 & 99.6504 & 0.998918 & 1.00038 \tabularnewline
89 & 99.58 & 99.2994 & 99.7912 & 0.995071 & 1.00283 \tabularnewline
90 & 99.58 & 99.0673 & 99.9321 & 0.991346 & 1.00518 \tabularnewline
91 & 99.58 & 99.6303 & 100.072 & 0.995585 & 0.999495 \tabularnewline
92 & 99.58 & 99.6185 & 100.211 & 0.994085 & 0.999613 \tabularnewline
93 & 99.58 & 99.6071 & 100.35 & 0.992593 & 0.999728 \tabularnewline
94 & 101.27 & 101.413 & 100.49 & 1.00919 & 0.998589 \tabularnewline
95 & 101.27 & 101.4 & 100.629 & 1.00767 & 0.998713 \tabularnewline
96 & 101.27 & 101.388 & 100.768 & 1.00616 & 0.998834 \tabularnewline
97 & 101.25 & 101.374 & 100.907 & 1.00463 & 0.998777 \tabularnewline
98 & 101.25 & 101.362 & 101.046 & 1.00313 & 0.998893 \tabularnewline
99 & 101.25 & 101.351 & 101.185 & 1.00163 & 0.999006 \tabularnewline
100 & 101.25 & 101.199 & 101.308 & 0.998918 & 1.00051 \tabularnewline
101 & 101.25 & 100.915 & 101.415 & 0.995071 & 1.00332 \tabularnewline
102 & 101.25 & 100.643 & 101.522 & 0.991346 & 1.00603 \tabularnewline
103 & 101.25 & 101.18 & 101.629 & 0.995585 & 1.00069 \tabularnewline
104 & 101.25 & 101.136 & 101.738 & 0.994085 & 1.00113 \tabularnewline
105 & 101.25 & 101.091 & 101.846 & 0.992593 & 1.00157 \tabularnewline
106 & 102.55 & 102.891 & 101.954 & 1.00919 & 0.996685 \tabularnewline
107 & 102.55 & 102.845 & 102.062 & 1.00767 & 0.997129 \tabularnewline
108 & 102.55 & 102.8 & 102.171 & 1.00616 & 0.997571 \tabularnewline
109 & 102.55 & 102.752 & 102.279 & 1.00463 & 0.998031 \tabularnewline
110 & 102.55 & 102.708 & 102.388 & 1.00313 & 0.998465 \tabularnewline
111 & 102.55 & 102.663 & 102.496 & 1.00163 & 0.998896 \tabularnewline
112 & 102.55 & 103.669 & 103.781 & 0.998918 & 0.98921 \tabularnewline
113 & 102.55 & 105.719 & 106.242 & 0.995071 & 0.970026 \tabularnewline
114 & 102.55 & 107.763 & 108.704 & 0.991346 & 0.951622 \tabularnewline
115 & 102.55 & NA & NA & 0.995585 & NA \tabularnewline
116 & 102.55 & NA & NA & 0.994085 & NA \tabularnewline
117 & 102.55 & NA & NA & 0.992593 & NA \tabularnewline
118 & 132.09 & NA & NA & 1.00919 & NA \tabularnewline
119 & 132.09 & NA & NA & 1.00767 & NA \tabularnewline
120 & 132.09 & NA & NA & 1.00616 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294640&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]87.16[/C][C]NA[/C][C]NA[/C][C]1.00463[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]87.16[/C][C]NA[/C][C]NA[/C][C]1.00313[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]87.16[/C][C]NA[/C][C]NA[/C][C]1.00163[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]87.16[/C][C]NA[/C][C]NA[/C][C]0.998918[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]87.16[/C][C]NA[/C][C]NA[/C][C]0.995071[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]87.16[/C][C]NA[/C][C]NA[/C][C]0.991346[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]87.16[/C][C]87.3792[/C][C]87.7667[/C][C]0.995585[/C][C]0.997492[/C][/ROW]
[ROW][C]8[/C][C]87.16[/C][C]87.4199[/C][C]87.94[/C][C]0.994085[/C][C]0.997027[/C][/ROW]
[ROW][C]9[/C][C]87.16[/C][C]87.4606[/C][C]88.1133[/C][C]0.992593[/C][C]0.996563[/C][/ROW]
[ROW][C]10[/C][C]89.24[/C][C]89.098[/C][C]88.2867[/C][C]1.00919[/C][C]1.00159[/C][/ROW]
[ROW][C]11[/C][C]89.24[/C][C]89.1384[/C][C]88.46[/C][C]1.00767[/C][C]1.00114[/C][/ROW]
[ROW][C]12[/C][C]89.24[/C][C]89.1789[/C][C]88.6333[/C][C]1.00616[/C][C]1.00069[/C][/ROW]
[ROW][C]13[/C][C]89.24[/C][C]89.2175[/C][C]88.8067[/C][C]1.00463[/C][C]1.00025[/C][/ROW]
[ROW][C]14[/C][C]89.24[/C][C]89.2582[/C][C]88.98[/C][C]1.00313[/C][C]0.999796[/C][/ROW]
[ROW][C]15[/C][C]89.24[/C][C]89.299[/C][C]89.1533[/C][C]1.00163[/C][C]0.999339[/C][/ROW]
[ROW][C]16[/C][C]89.24[/C][C]89.2167[/C][C]89.3133[/C][C]0.998918[/C][C]1.00026[/C][/ROW]
[ROW][C]17[/C][C]89.24[/C][C]89.0191[/C][C]89.46[/C][C]0.995071[/C][C]1.00248[/C][/ROW]
[ROW][C]18[/C][C]89.24[/C][C]88.8312[/C][C]89.6067[/C][C]0.991346[/C][C]1.0046[/C][/ROW]
[ROW][C]19[/C][C]89.24[/C][C]89.3571[/C][C]89.7533[/C][C]0.995585[/C][C]0.99869[/C][/ROW]
[ROW][C]20[/C][C]89.24[/C][C]89.3683[/C][C]89.9[/C][C]0.994085[/C][C]0.998565[/C][/ROW]
[ROW][C]21[/C][C]89.24[/C][C]89.3797[/C][C]90.0467[/C][C]0.992593[/C][C]0.998437[/C][/ROW]
[ROW][C]22[/C][C]91[/C][C]91.0222[/C][C]90.1933[/C][C]1.00919[/C][C]0.999756[/C][/ROW]
[ROW][C]23[/C][C]91[/C][C]91.0328[/C][C]90.34[/C][C]1.00767[/C][C]0.999639[/C][/ROW]
[ROW][C]24[/C][C]91[/C][C]91.0436[/C][C]90.4867[/C][C]1.00616[/C][C]0.999521[/C][/ROW]
[ROW][C]25[/C][C]91[/C][C]91.0527[/C][C]90.6333[/C][C]1.00463[/C][C]0.999422[/C][/ROW]
[ROW][C]26[/C][C]91[/C][C]91.0638[/C][C]90.78[/C][C]1.00313[/C][C]0.999299[/C][/ROW]
[ROW][C]27[/C][C]91[/C][C]91.0752[/C][C]90.9267[/C][C]1.00163[/C][C]0.999174[/C][/ROW]
[ROW][C]28[/C][C]91[/C][C]90.9644[/C][C]91.0629[/C][C]0.998918[/C][C]1.00039[/C][/ROW]
[ROW][C]29[/C][C]91[/C][C]90.7393[/C][C]91.1888[/C][C]0.995071[/C][C]1.00287[/C][/ROW]
[ROW][C]30[/C][C]91[/C][C]90.5243[/C][C]91.3146[/C][C]0.991346[/C][C]1.00525[/C][/ROW]
[ROW][C]31[/C][C]91[/C][C]91.0367[/C][C]91.4404[/C][C]0.995585[/C][C]0.999597[/C][/ROW]
[ROW][C]32[/C][C]91[/C][C]91.0247[/C][C]91.5662[/C][C]0.994085[/C][C]0.999729[/C][/ROW]
[ROW][C]33[/C][C]91[/C][C]91.0129[/C][C]91.6921[/C][C]0.992593[/C][C]0.999858[/C][/ROW]
[ROW][C]34[/C][C]92.51[/C][C]92.6617[/C][C]91.8179[/C][C]1.00919[/C][C]0.998363[/C][/ROW]
[ROW][C]35[/C][C]92.51[/C][C]92.6489[/C][C]91.9438[/C][C]1.00767[/C][C]0.998501[/C][/ROW]
[ROW][C]36[/C][C]92.51[/C][C]92.6363[/C][C]92.0696[/C][C]1.00616[/C][C]0.998637[/C][/ROW]
[ROW][C]37[/C][C]92.51[/C][C]92.622[/C][C]92.1954[/C][C]1.00463[/C][C]0.998791[/C][/ROW]
[ROW][C]38[/C][C]92.51[/C][C]92.6099[/C][C]92.3212[/C][C]1.00313[/C][C]0.998921[/C][/ROW]
[ROW][C]39[/C][C]92.51[/C][C]92.5981[/C][C]92.4471[/C][C]1.00163[/C][C]0.999048[/C][/ROW]
[ROW][C]40[/C][C]92.51[/C][C]92.5831[/C][C]92.6833[/C][C]0.998918[/C][C]0.999211[/C][/ROW]
[ROW][C]41[/C][C]92.51[/C][C]92.5715[/C][C]93.03[/C][C]0.995071[/C][C]0.999336[/C][/ROW]
[ROW][C]42[/C][C]92.51[/C][C]92.5686[/C][C]93.3767[/C][C]0.991346[/C][C]0.999367[/C][/ROW]
[ROW][C]43[/C][C]92.51[/C][C]93.3096[/C][C]93.7233[/C][C]0.995585[/C][C]0.991431[/C][/ROW]
[ROW][C]44[/C][C]92.51[/C][C]93.5136[/C][C]94.07[/C][C]0.994085[/C][C]0.989268[/C][/ROW]
[ROW][C]45[/C][C]92.51[/C][C]93.7173[/C][C]94.4167[/C][C]0.992593[/C][C]0.987118[/C][/ROW]
[ROW][C]46[/C][C]96.67[/C][C]95.6342[/C][C]94.7633[/C][C]1.00919[/C][C]1.01083[/C][/ROW]
[ROW][C]47[/C][C]96.67[/C][C]95.8394[/C][C]95.11[/C][C]1.00767[/C][C]1.00867[/C][/ROW]
[ROW][C]48[/C][C]96.67[/C][C]96.0442[/C][C]95.4567[/C][C]1.00616[/C][C]1.00652[/C][/ROW]
[ROW][C]49[/C][C]96.67[/C][C]96.2466[/C][C]95.8033[/C][C]1.00463[/C][C]1.0044[/C][/ROW]
[ROW][C]50[/C][C]96.67[/C][C]96.4506[/C][C]96.15[/C][C]1.00313[/C][C]1.00227[/C][/ROW]
[ROW][C]51[/C][C]96.67[/C][C]96.6543[/C][C]96.4967[/C][C]1.00163[/C][C]1.00016[/C][/ROW]
[ROW][C]52[/C][C]96.67[/C][C]96.5454[/C][C]96.65[/C][C]0.998918[/C][C]1.00129[/C][/ROW]
[ROW][C]53[/C][C]96.67[/C][C]96.1338[/C][C]96.61[/C][C]0.995071[/C][C]1.00558[/C][/ROW]
[ROW][C]54[/C][C]96.67[/C][C]95.7343[/C][C]96.57[/C][C]0.991346[/C][C]1.00977[/C][/ROW]
[ROW][C]55[/C][C]96.67[/C][C]96.1038[/C][C]96.53[/C][C]0.995585[/C][C]1.00589[/C][/ROW]
[ROW][C]56[/C][C]96.67[/C][C]95.9193[/C][C]96.49[/C][C]0.994085[/C][C]1.00783[/C][/ROW]
[ROW][C]57[/C][C]96.67[/C][C]95.7356[/C][C]96.45[/C][C]0.992593[/C][C]1.00976[/C][/ROW]
[ROW][C]58[/C][C]96.19[/C][C]97.296[/C][C]96.41[/C][C]1.00919[/C][C]0.988633[/C][/ROW]
[ROW][C]59[/C][C]96.19[/C][C]97.1091[/C][C]96.37[/C][C]1.00767[/C][C]0.990536[/C][/ROW]
[ROW][C]60[/C][C]96.19[/C][C]96.9229[/C][C]96.33[/C][C]1.00616[/C][C]0.992438[/C][/ROW]
[ROW][C]61[/C][C]96.19[/C][C]96.7355[/C][C]96.29[/C][C]1.00463[/C][C]0.994361[/C][/ROW]
[ROW][C]62[/C][C]96.19[/C][C]96.551[/C][C]96.25[/C][C]1.00313[/C][C]0.996262[/C][/ROW]
[ROW][C]63[/C][C]96.19[/C][C]96.3672[/C][C]96.21[/C][C]1.00163[/C][C]0.998161[/C][/ROW]
[ROW][C]64[/C][C]96.19[/C][C]96.2083[/C][C]96.3125[/C][C]0.998918[/C][C]0.99981[/C][/ROW]
[ROW][C]65[/C][C]96.19[/C][C]96.0816[/C][C]96.5575[/C][C]0.995071[/C][C]1.00113[/C][/ROW]
[ROW][C]66[/C][C]96.19[/C][C]95.9648[/C][C]96.8025[/C][C]0.991346[/C][C]1.00235[/C][/ROW]
[ROW][C]67[/C][C]96.19[/C][C]96.619[/C][C]97.0475[/C][C]0.995585[/C][C]0.995559[/C][/ROW]
[ROW][C]68[/C][C]96.19[/C][C]96.717[/C][C]97.2925[/C][C]0.994085[/C][C]0.994551[/C][/ROW]
[ROW][C]69[/C][C]96.19[/C][C]96.815[/C][C]97.5375[/C][C]0.992593[/C][C]0.993544[/C][/ROW]
[ROW][C]70[/C][C]99.13[/C][C]98.6811[/C][C]97.7825[/C][C]1.00919[/C][C]1.00455[/C][/ROW]
[ROW][C]71[/C][C]99.13[/C][C]98.7793[/C][C]98.0275[/C][C]1.00767[/C][C]1.00355[/C][/ROW]
[ROW][C]72[/C][C]99.13[/C][C]98.8774[/C][C]98.2725[/C][C]1.00616[/C][C]1.00255[/C][/ROW]
[ROW][C]73[/C][C]99.13[/C][C]98.9733[/C][C]98.5175[/C][C]1.00463[/C][C]1.00158[/C][/ROW]
[ROW][C]74[/C][C]99.13[/C][C]99.0713[/C][C]98.7625[/C][C]1.00313[/C][C]1.00059[/C][/ROW]
[ROW][C]75[/C][C]99.13[/C][C]99.1693[/C][C]99.0075[/C][C]1.00163[/C][C]0.999604[/C][/ROW]
[ROW][C]76[/C][C]99.13[/C][C]99.0415[/C][C]99.1487[/C][C]0.998918[/C][C]1.00089[/C][/ROW]
[ROW][C]77[/C][C]99.13[/C][C]98.6974[/C][C]99.1862[/C][C]0.995071[/C][C]1.00438[/C][/ROW]
[ROW][C]78[/C][C]99.13[/C][C]98.3651[/C][C]99.2238[/C][C]0.991346[/C][C]1.00778[/C][/ROW]
[ROW][C]79[/C][C]99.13[/C][C]98.823[/C][C]99.2612[/C][C]0.995585[/C][C]1.00311[/C][/ROW]
[ROW][C]80[/C][C]99.13[/C][C]98.7114[/C][C]99.2988[/C][C]0.994085[/C][C]1.00424[/C][/ROW]
[ROW][C]81[/C][C]99.13[/C][C]98.6004[/C][C]99.3362[/C][C]0.992593[/C][C]1.00537[/C][/ROW]
[ROW][C]82[/C][C]99.58[/C][C]100.287[/C][C]99.3738[/C][C]1.00919[/C][C]0.99295[/C][/ROW]
[ROW][C]83[/C][C]99.58[/C][C]100.174[/C][C]99.4112[/C][C]1.00767[/C][C]0.994074[/C][/ROW]
[ROW][C]84[/C][C]99.58[/C][C]100.061[/C][C]99.4488[/C][C]1.00616[/C][C]0.995194[/C][/ROW]
[ROW][C]85[/C][C]99.58[/C][C]99.9465[/C][C]99.4862[/C][C]1.00463[/C][C]0.996333[/C][/ROW]
[ROW][C]86[/C][C]99.58[/C][C]99.8349[/C][C]99.5237[/C][C]1.00313[/C][C]0.997446[/C][/ROW]
[ROW][C]87[/C][C]99.58[/C][C]99.7239[/C][C]99.5612[/C][C]1.00163[/C][C]0.998557[/C][/ROW]
[ROW][C]88[/C][C]99.58[/C][C]99.5426[/C][C]99.6504[/C][C]0.998918[/C][C]1.00038[/C][/ROW]
[ROW][C]89[/C][C]99.58[/C][C]99.2994[/C][C]99.7912[/C][C]0.995071[/C][C]1.00283[/C][/ROW]
[ROW][C]90[/C][C]99.58[/C][C]99.0673[/C][C]99.9321[/C][C]0.991346[/C][C]1.00518[/C][/ROW]
[ROW][C]91[/C][C]99.58[/C][C]99.6303[/C][C]100.072[/C][C]0.995585[/C][C]0.999495[/C][/ROW]
[ROW][C]92[/C][C]99.58[/C][C]99.6185[/C][C]100.211[/C][C]0.994085[/C][C]0.999613[/C][/ROW]
[ROW][C]93[/C][C]99.58[/C][C]99.6071[/C][C]100.35[/C][C]0.992593[/C][C]0.999728[/C][/ROW]
[ROW][C]94[/C][C]101.27[/C][C]101.413[/C][C]100.49[/C][C]1.00919[/C][C]0.998589[/C][/ROW]
[ROW][C]95[/C][C]101.27[/C][C]101.4[/C][C]100.629[/C][C]1.00767[/C][C]0.998713[/C][/ROW]
[ROW][C]96[/C][C]101.27[/C][C]101.388[/C][C]100.768[/C][C]1.00616[/C][C]0.998834[/C][/ROW]
[ROW][C]97[/C][C]101.25[/C][C]101.374[/C][C]100.907[/C][C]1.00463[/C][C]0.998777[/C][/ROW]
[ROW][C]98[/C][C]101.25[/C][C]101.362[/C][C]101.046[/C][C]1.00313[/C][C]0.998893[/C][/ROW]
[ROW][C]99[/C][C]101.25[/C][C]101.351[/C][C]101.185[/C][C]1.00163[/C][C]0.999006[/C][/ROW]
[ROW][C]100[/C][C]101.25[/C][C]101.199[/C][C]101.308[/C][C]0.998918[/C][C]1.00051[/C][/ROW]
[ROW][C]101[/C][C]101.25[/C][C]100.915[/C][C]101.415[/C][C]0.995071[/C][C]1.00332[/C][/ROW]
[ROW][C]102[/C][C]101.25[/C][C]100.643[/C][C]101.522[/C][C]0.991346[/C][C]1.00603[/C][/ROW]
[ROW][C]103[/C][C]101.25[/C][C]101.18[/C][C]101.629[/C][C]0.995585[/C][C]1.00069[/C][/ROW]
[ROW][C]104[/C][C]101.25[/C][C]101.136[/C][C]101.738[/C][C]0.994085[/C][C]1.00113[/C][/ROW]
[ROW][C]105[/C][C]101.25[/C][C]101.091[/C][C]101.846[/C][C]0.992593[/C][C]1.00157[/C][/ROW]
[ROW][C]106[/C][C]102.55[/C][C]102.891[/C][C]101.954[/C][C]1.00919[/C][C]0.996685[/C][/ROW]
[ROW][C]107[/C][C]102.55[/C][C]102.845[/C][C]102.062[/C][C]1.00767[/C][C]0.997129[/C][/ROW]
[ROW][C]108[/C][C]102.55[/C][C]102.8[/C][C]102.171[/C][C]1.00616[/C][C]0.997571[/C][/ROW]
[ROW][C]109[/C][C]102.55[/C][C]102.752[/C][C]102.279[/C][C]1.00463[/C][C]0.998031[/C][/ROW]
[ROW][C]110[/C][C]102.55[/C][C]102.708[/C][C]102.388[/C][C]1.00313[/C][C]0.998465[/C][/ROW]
[ROW][C]111[/C][C]102.55[/C][C]102.663[/C][C]102.496[/C][C]1.00163[/C][C]0.998896[/C][/ROW]
[ROW][C]112[/C][C]102.55[/C][C]103.669[/C][C]103.781[/C][C]0.998918[/C][C]0.98921[/C][/ROW]
[ROW][C]113[/C][C]102.55[/C][C]105.719[/C][C]106.242[/C][C]0.995071[/C][C]0.970026[/C][/ROW]
[ROW][C]114[/C][C]102.55[/C][C]107.763[/C][C]108.704[/C][C]0.991346[/C][C]0.951622[/C][/ROW]
[ROW][C]115[/C][C]102.55[/C][C]NA[/C][C]NA[/C][C]0.995585[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]102.55[/C][C]NA[/C][C]NA[/C][C]0.994085[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]102.55[/C][C]NA[/C][C]NA[/C][C]0.992593[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]132.09[/C][C]NA[/C][C]NA[/C][C]1.00919[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]132.09[/C][C]NA[/C][C]NA[/C][C]1.00767[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]132.09[/C][C]NA[/C][C]NA[/C][C]1.00616[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294640&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294640&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
187.16NANA1.00463NA
287.16NANA1.00313NA
387.16NANA1.00163NA
487.16NANA0.998918NA
587.16NANA0.995071NA
687.16NANA0.991346NA
787.1687.379287.76670.9955850.997492
887.1687.419987.940.9940850.997027
987.1687.460688.11330.9925930.996563
1089.2489.09888.28671.009191.00159
1189.2489.138488.461.007671.00114
1289.2489.178988.63331.006161.00069
1389.2489.217588.80671.004631.00025
1489.2489.258288.981.003130.999796
1589.2489.29989.15331.001630.999339
1689.2489.216789.31330.9989181.00026
1789.2489.019189.460.9950711.00248
1889.2488.831289.60670.9913461.0046
1989.2489.357189.75330.9955850.99869
2089.2489.368389.90.9940850.998565
2189.2489.379790.04670.9925930.998437
229191.022290.19331.009190.999756
239191.032890.341.007670.999639
249191.043690.48671.006160.999521
259191.052790.63331.004630.999422
269191.063890.781.003130.999299
279191.075290.92671.001630.999174
289190.964491.06290.9989181.00039
299190.739391.18880.9950711.00287
309190.524391.31460.9913461.00525
319191.036791.44040.9955850.999597
329191.024791.56620.9940850.999729
339191.012991.69210.9925930.999858
3492.5192.661791.81791.009190.998363
3592.5192.648991.94381.007670.998501
3692.5192.636392.06961.006160.998637
3792.5192.62292.19541.004630.998791
3892.5192.609992.32121.003130.998921
3992.5192.598192.44711.001630.999048
4092.5192.583192.68330.9989180.999211
4192.5192.571593.030.9950710.999336
4292.5192.568693.37670.9913460.999367
4392.5193.309693.72330.9955850.991431
4492.5193.513694.070.9940850.989268
4592.5193.717394.41670.9925930.987118
4696.6795.634294.76331.009191.01083
4796.6795.839495.111.007671.00867
4896.6796.044295.45671.006161.00652
4996.6796.246695.80331.004631.0044
5096.6796.450696.151.003131.00227
5196.6796.654396.49671.001631.00016
5296.6796.545496.650.9989181.00129
5396.6796.133896.610.9950711.00558
5496.6795.734396.570.9913461.00977
5596.6796.103896.530.9955851.00589
5696.6795.919396.490.9940851.00783
5796.6795.735696.450.9925931.00976
5896.1997.29696.411.009190.988633
5996.1997.109196.371.007670.990536
6096.1996.922996.331.006160.992438
6196.1996.735596.291.004630.994361
6296.1996.55196.251.003130.996262
6396.1996.367296.211.001630.998161
6496.1996.208396.31250.9989180.99981
6596.1996.081696.55750.9950711.00113
6696.1995.964896.80250.9913461.00235
6796.1996.61997.04750.9955850.995559
6896.1996.71797.29250.9940850.994551
6996.1996.81597.53750.9925930.993544
7099.1398.681197.78251.009191.00455
7199.1398.779398.02751.007671.00355
7299.1398.877498.27251.006161.00255
7399.1398.973398.51751.004631.00158
7499.1399.071398.76251.003131.00059
7599.1399.169399.00751.001630.999604
7699.1399.041599.14870.9989181.00089
7799.1398.697499.18620.9950711.00438
7899.1398.365199.22380.9913461.00778
7999.1398.82399.26120.9955851.00311
8099.1398.711499.29880.9940851.00424
8199.1398.600499.33620.9925931.00537
8299.58100.28799.37381.009190.99295
8399.58100.17499.41121.007670.994074
8499.58100.06199.44881.006160.995194
8599.5899.946599.48621.004630.996333
8699.5899.834999.52371.003130.997446
8799.5899.723999.56121.001630.998557
8899.5899.542699.65040.9989181.00038
8999.5899.299499.79120.9950711.00283
9099.5899.067399.93210.9913461.00518
9199.5899.6303100.0720.9955850.999495
9299.5899.6185100.2110.9940850.999613
9399.5899.6071100.350.9925930.999728
94101.27101.413100.491.009190.998589
95101.27101.4100.6291.007670.998713
96101.27101.388100.7681.006160.998834
97101.25101.374100.9071.004630.998777
98101.25101.362101.0461.003130.998893
99101.25101.351101.1851.001630.999006
100101.25101.199101.3080.9989181.00051
101101.25100.915101.4150.9950711.00332
102101.25100.643101.5220.9913461.00603
103101.25101.18101.6290.9955851.00069
104101.25101.136101.7380.9940851.00113
105101.25101.091101.8460.9925931.00157
106102.55102.891101.9541.009190.996685
107102.55102.845102.0621.007670.997129
108102.55102.8102.1711.006160.997571
109102.55102.752102.2791.004630.998031
110102.55102.708102.3881.003130.998465
111102.55102.663102.4961.001630.998896
112102.55103.669103.7810.9989180.98921
113102.55105.719106.2420.9950710.970026
114102.55107.763108.7040.9913460.951622
115102.55NANA0.995585NA
116102.55NANA0.994085NA
117102.55NANA0.992593NA
118132.09NANA1.00919NA
119132.09NANA1.00767NA
120132.09NANA1.00616NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')