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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 26 Nov 2015 15:43:31 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/26/t1448552645r3frv9r9k1v7gil.htm/, Retrieved Tue, 14 May 2024 18:07:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284248, Retrieved Tue, 14 May 2024 18:07:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-26 15:43:31] [047b71d569822bc9ea0d1a14ab5e311b] [Current]
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Dataseries X:
72.04
72.26
72.53
72.41
72.91
72.84
72.92
73.03
72.98
72.99
73.15
73.34
73.8
74.46
74.54
74.92
74.19
74.34
74.54
74.4
73.78
74.42
73.54
74.45
76.31
76.44
76.64
76.44
76.49
76.52
78.15
78.54
78.79
78.75
78.28
78.44
78.75
80.54
80.84
81.11
80.47
80.53
80.35
80.29
80.27
80.1
79.8
79.84
79.92
80.26
80.69
84.5
85.45
86.19
86.4
85.98
85.87
86.06
86.43
86.43
86.37
86.84
86.73
90.99
92.61
93.83
94.2
94.01
93.47
93.27
94.3
94.53
94.59
94.69
94.67
96.55
97.14
97.32
97.97
98.49
99.11
99.09
98.76
99.2
99.61
99.54
99.68
100.75
100.38
100.79
100.39
100.39
100.12
100
99.17
99.17
99.59
99.96
99.68
101.03
100.99
101.38
101.84
101.52
101.37
101.22
101.45
101.99




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284248&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284248&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284248&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'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
172.04NANA0.99365NA
272.26NANA0.996024NA
372.53NANA0.993852NA
472.41NANA1.00832NA
572.91NANA1.00667NA
672.84NANA1.00764NA
772.9273.42772.85671.007830.993095
873.0373.36773.02171.004730.995406
972.9873.213273.19711.000220.996815
1072.9973.196973.38540.9974320.997173
1173.1572.956873.54330.9920251.00265
1273.3473.04173.65920.9916081.00409
1373.873.320673.78920.993651.00654
1474.4673.619873.91370.9960241.01141
1574.5473.549274.00420.9938521.01347
1674.9274.713974.09711.008321.00276
1774.1974.667674.17291.006670.993604
1874.3474.802474.23541.007640.993818
1974.5474.968674.38621.007830.994284
2074.474.92674.57331.004730.992979
2173.7874.759874.74331.000220.986895
2274.4274.701874.89420.9974320.996228
2373.5474.454875.05330.9920250.987713
2474.4574.608675.240.9916080.997874
2576.3175.00275.48130.993651.01744
2676.4475.502775.80420.9960241.01241
2776.6475.71776.18540.9938521.01219
2876.4477.21276.57461.008320.990001
2976.4977.465776.95251.006670.987405
3076.5277.906877.31631.007640.982199
3178.1578.191577.58421.007830.999469
3278.5478.224977.85671.004731.00403
3378.7978.219778.20251.000221.00729
3478.7578.370378.57210.9974321.00485
3578.2878.30378.93250.9920250.999706
3678.4478.600379.26540.9916080.997961
3778.7579.019279.52420.993650.996593
3880.5479.371979.68870.9960241.01472
3980.8479.332679.82330.9938521.019
4081.1180.606779.94121.008321.00624
4180.4780.594880.06081.006670.998452
4280.5380.794980.18251.007640.996721
4380.3580.918180.28961.007830.992979
4480.2980.706680.32671.004730.994838
4580.2780.326480.30881.000220.999298
4680.180.237180.44380.9974320.998291
4779.880.148280.79250.9920250.995656
4879.8480.554181.23580.9916080.991135
4979.9281.204881.72380.993650.984178
5080.2681.88682.21290.9960240.980143
5180.6982.17582.68330.9938520.981929
5284.583.857383.1651.008321.00766
5385.4584.247783.68961.006671.01427
5486.1984.883884.24041.007641.01539
5586.485.447484.78381.007831.01115
5685.9885.730285.32671.004731.00291
5785.8785.871485.85251.000220.999984
5886.0686.152786.37460.9974320.998924
5986.4386.2586.94330.9920251.00209
6086.4386.825287.560.9916080.995448
6186.3787.643388.20330.993650.985472
6286.8488.509688.86290.9960240.981137
6386.7388.963989.51420.9938520.97489
6490.9990.881690.13131.008321.00119
6592.6191.364990.75961.006671.01363
6693.8392.123391.4251.007641.01853
6794.292.82692.1051.007831.0148
6894.0193.213492.77461.004731.00855
6993.4793.45393.43251.000221.00018
7093.2793.753693.9950.9974320.994842
7194.393.662594.41540.9920251.00681
7294.5393.954594.74960.9916081.00613
7394.5994.448595.05210.993651.0015
7494.6995.016595.39580.9960240.996564
7594.6795.228495.81750.9938520.994136
7696.5597.096696.2951.008320.99437
7797.1497.368496.72331.006670.997655
7897.3297.845497.10371.007640.99463
7997.9798.270897.50751.007830.996939
8098.4998.381997.91871.004731.0011
8199.1198.351298.32961.000221.00772
8299.0998.459898.71330.9974321.0064
8398.7698.233699.02330.9920251.00536
8499.298.469699.30290.9916081.00742
8599.6198.916299.54830.993651.00701
8699.5499.331899.72830.9960241.0021
8799.6899.235799.84960.9938521.00448
88100.75100.76199.92961.008320.999886
89100.38100.65199.98461.006670.997304
90100.79100.7641001.007641.00026
91100.39100.78199.99831.007830.996119
92100.39100.488100.0151.004730.999024
93100.12100.054100.0321.000221.00065
9410099.7872100.0440.9974321.00213
9599.1799.2831100.0810.9920250.998861
9699.1799.291100.1310.9916080.998781
9799.5999.5799100.2160.993651.0001
9899.9699.9248100.3240.9960241.00035
9999.6899.8055100.4230.9938520.998742
100101.03101.363100.5261.008320.996718
101100.99101.343100.6721.006670.996516
102101.38101.655100.8841.007640.997297
103101.84NANA1.00783NA
104101.52NANA1.00473NA
105101.37NANA1.00022NA
106101.22NANA0.997432NA
107101.45NANA0.992025NA
108101.99NANA0.991608NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 72.04 & NA & NA & 0.99365 & NA \tabularnewline
2 & 72.26 & NA & NA & 0.996024 & NA \tabularnewline
3 & 72.53 & NA & NA & 0.993852 & NA \tabularnewline
4 & 72.41 & NA & NA & 1.00832 & NA \tabularnewline
5 & 72.91 & NA & NA & 1.00667 & NA \tabularnewline
6 & 72.84 & NA & NA & 1.00764 & NA \tabularnewline
7 & 72.92 & 73.427 & 72.8567 & 1.00783 & 0.993095 \tabularnewline
8 & 73.03 & 73.367 & 73.0217 & 1.00473 & 0.995406 \tabularnewline
9 & 72.98 & 73.2132 & 73.1971 & 1.00022 & 0.996815 \tabularnewline
10 & 72.99 & 73.1969 & 73.3854 & 0.997432 & 0.997173 \tabularnewline
11 & 73.15 & 72.9568 & 73.5433 & 0.992025 & 1.00265 \tabularnewline
12 & 73.34 & 73.041 & 73.6592 & 0.991608 & 1.00409 \tabularnewline
13 & 73.8 & 73.3206 & 73.7892 & 0.99365 & 1.00654 \tabularnewline
14 & 74.46 & 73.6198 & 73.9137 & 0.996024 & 1.01141 \tabularnewline
15 & 74.54 & 73.5492 & 74.0042 & 0.993852 & 1.01347 \tabularnewline
16 & 74.92 & 74.7139 & 74.0971 & 1.00832 & 1.00276 \tabularnewline
17 & 74.19 & 74.6676 & 74.1729 & 1.00667 & 0.993604 \tabularnewline
18 & 74.34 & 74.8024 & 74.2354 & 1.00764 & 0.993818 \tabularnewline
19 & 74.54 & 74.9686 & 74.3862 & 1.00783 & 0.994284 \tabularnewline
20 & 74.4 & 74.926 & 74.5733 & 1.00473 & 0.992979 \tabularnewline
21 & 73.78 & 74.7598 & 74.7433 & 1.00022 & 0.986895 \tabularnewline
22 & 74.42 & 74.7018 & 74.8942 & 0.997432 & 0.996228 \tabularnewline
23 & 73.54 & 74.4548 & 75.0533 & 0.992025 & 0.987713 \tabularnewline
24 & 74.45 & 74.6086 & 75.24 & 0.991608 & 0.997874 \tabularnewline
25 & 76.31 & 75.002 & 75.4813 & 0.99365 & 1.01744 \tabularnewline
26 & 76.44 & 75.5027 & 75.8042 & 0.996024 & 1.01241 \tabularnewline
27 & 76.64 & 75.717 & 76.1854 & 0.993852 & 1.01219 \tabularnewline
28 & 76.44 & 77.212 & 76.5746 & 1.00832 & 0.990001 \tabularnewline
29 & 76.49 & 77.4657 & 76.9525 & 1.00667 & 0.987405 \tabularnewline
30 & 76.52 & 77.9068 & 77.3163 & 1.00764 & 0.982199 \tabularnewline
31 & 78.15 & 78.1915 & 77.5842 & 1.00783 & 0.999469 \tabularnewline
32 & 78.54 & 78.2249 & 77.8567 & 1.00473 & 1.00403 \tabularnewline
33 & 78.79 & 78.2197 & 78.2025 & 1.00022 & 1.00729 \tabularnewline
34 & 78.75 & 78.3703 & 78.5721 & 0.997432 & 1.00485 \tabularnewline
35 & 78.28 & 78.303 & 78.9325 & 0.992025 & 0.999706 \tabularnewline
36 & 78.44 & 78.6003 & 79.2654 & 0.991608 & 0.997961 \tabularnewline
37 & 78.75 & 79.0192 & 79.5242 & 0.99365 & 0.996593 \tabularnewline
38 & 80.54 & 79.3719 & 79.6887 & 0.996024 & 1.01472 \tabularnewline
39 & 80.84 & 79.3326 & 79.8233 & 0.993852 & 1.019 \tabularnewline
40 & 81.11 & 80.6067 & 79.9412 & 1.00832 & 1.00624 \tabularnewline
41 & 80.47 & 80.5948 & 80.0608 & 1.00667 & 0.998452 \tabularnewline
42 & 80.53 & 80.7949 & 80.1825 & 1.00764 & 0.996721 \tabularnewline
43 & 80.35 & 80.9181 & 80.2896 & 1.00783 & 0.992979 \tabularnewline
44 & 80.29 & 80.7066 & 80.3267 & 1.00473 & 0.994838 \tabularnewline
45 & 80.27 & 80.3264 & 80.3088 & 1.00022 & 0.999298 \tabularnewline
46 & 80.1 & 80.2371 & 80.4438 & 0.997432 & 0.998291 \tabularnewline
47 & 79.8 & 80.1482 & 80.7925 & 0.992025 & 0.995656 \tabularnewline
48 & 79.84 & 80.5541 & 81.2358 & 0.991608 & 0.991135 \tabularnewline
49 & 79.92 & 81.2048 & 81.7238 & 0.99365 & 0.984178 \tabularnewline
50 & 80.26 & 81.886 & 82.2129 & 0.996024 & 0.980143 \tabularnewline
51 & 80.69 & 82.175 & 82.6833 & 0.993852 & 0.981929 \tabularnewline
52 & 84.5 & 83.8573 & 83.165 & 1.00832 & 1.00766 \tabularnewline
53 & 85.45 & 84.2477 & 83.6896 & 1.00667 & 1.01427 \tabularnewline
54 & 86.19 & 84.8838 & 84.2404 & 1.00764 & 1.01539 \tabularnewline
55 & 86.4 & 85.4474 & 84.7838 & 1.00783 & 1.01115 \tabularnewline
56 & 85.98 & 85.7302 & 85.3267 & 1.00473 & 1.00291 \tabularnewline
57 & 85.87 & 85.8714 & 85.8525 & 1.00022 & 0.999984 \tabularnewline
58 & 86.06 & 86.1527 & 86.3746 & 0.997432 & 0.998924 \tabularnewline
59 & 86.43 & 86.25 & 86.9433 & 0.992025 & 1.00209 \tabularnewline
60 & 86.43 & 86.8252 & 87.56 & 0.991608 & 0.995448 \tabularnewline
61 & 86.37 & 87.6433 & 88.2033 & 0.99365 & 0.985472 \tabularnewline
62 & 86.84 & 88.5096 & 88.8629 & 0.996024 & 0.981137 \tabularnewline
63 & 86.73 & 88.9639 & 89.5142 & 0.993852 & 0.97489 \tabularnewline
64 & 90.99 & 90.8816 & 90.1313 & 1.00832 & 1.00119 \tabularnewline
65 & 92.61 & 91.3649 & 90.7596 & 1.00667 & 1.01363 \tabularnewline
66 & 93.83 & 92.1233 & 91.425 & 1.00764 & 1.01853 \tabularnewline
67 & 94.2 & 92.826 & 92.105 & 1.00783 & 1.0148 \tabularnewline
68 & 94.01 & 93.2134 & 92.7746 & 1.00473 & 1.00855 \tabularnewline
69 & 93.47 & 93.453 & 93.4325 & 1.00022 & 1.00018 \tabularnewline
70 & 93.27 & 93.7536 & 93.995 & 0.997432 & 0.994842 \tabularnewline
71 & 94.3 & 93.6625 & 94.4154 & 0.992025 & 1.00681 \tabularnewline
72 & 94.53 & 93.9545 & 94.7496 & 0.991608 & 1.00613 \tabularnewline
73 & 94.59 & 94.4485 & 95.0521 & 0.99365 & 1.0015 \tabularnewline
74 & 94.69 & 95.0165 & 95.3958 & 0.996024 & 0.996564 \tabularnewline
75 & 94.67 & 95.2284 & 95.8175 & 0.993852 & 0.994136 \tabularnewline
76 & 96.55 & 97.0966 & 96.295 & 1.00832 & 0.99437 \tabularnewline
77 & 97.14 & 97.3684 & 96.7233 & 1.00667 & 0.997655 \tabularnewline
78 & 97.32 & 97.8454 & 97.1037 & 1.00764 & 0.99463 \tabularnewline
79 & 97.97 & 98.2708 & 97.5075 & 1.00783 & 0.996939 \tabularnewline
80 & 98.49 & 98.3819 & 97.9187 & 1.00473 & 1.0011 \tabularnewline
81 & 99.11 & 98.3512 & 98.3296 & 1.00022 & 1.00772 \tabularnewline
82 & 99.09 & 98.4598 & 98.7133 & 0.997432 & 1.0064 \tabularnewline
83 & 98.76 & 98.2336 & 99.0233 & 0.992025 & 1.00536 \tabularnewline
84 & 99.2 & 98.4696 & 99.3029 & 0.991608 & 1.00742 \tabularnewline
85 & 99.61 & 98.9162 & 99.5483 & 0.99365 & 1.00701 \tabularnewline
86 & 99.54 & 99.3318 & 99.7283 & 0.996024 & 1.0021 \tabularnewline
87 & 99.68 & 99.2357 & 99.8496 & 0.993852 & 1.00448 \tabularnewline
88 & 100.75 & 100.761 & 99.9296 & 1.00832 & 0.999886 \tabularnewline
89 & 100.38 & 100.651 & 99.9846 & 1.00667 & 0.997304 \tabularnewline
90 & 100.79 & 100.764 & 100 & 1.00764 & 1.00026 \tabularnewline
91 & 100.39 & 100.781 & 99.9983 & 1.00783 & 0.996119 \tabularnewline
92 & 100.39 & 100.488 & 100.015 & 1.00473 & 0.999024 \tabularnewline
93 & 100.12 & 100.054 & 100.032 & 1.00022 & 1.00065 \tabularnewline
94 & 100 & 99.7872 & 100.044 & 0.997432 & 1.00213 \tabularnewline
95 & 99.17 & 99.2831 & 100.081 & 0.992025 & 0.998861 \tabularnewline
96 & 99.17 & 99.291 & 100.131 & 0.991608 & 0.998781 \tabularnewline
97 & 99.59 & 99.5799 & 100.216 & 0.99365 & 1.0001 \tabularnewline
98 & 99.96 & 99.9248 & 100.324 & 0.996024 & 1.00035 \tabularnewline
99 & 99.68 & 99.8055 & 100.423 & 0.993852 & 0.998742 \tabularnewline
100 & 101.03 & 101.363 & 100.526 & 1.00832 & 0.996718 \tabularnewline
101 & 100.99 & 101.343 & 100.672 & 1.00667 & 0.996516 \tabularnewline
102 & 101.38 & 101.655 & 100.884 & 1.00764 & 0.997297 \tabularnewline
103 & 101.84 & NA & NA & 1.00783 & NA \tabularnewline
104 & 101.52 & NA & NA & 1.00473 & NA \tabularnewline
105 & 101.37 & NA & NA & 1.00022 & NA \tabularnewline
106 & 101.22 & NA & NA & 0.997432 & NA \tabularnewline
107 & 101.45 & NA & NA & 0.992025 & NA \tabularnewline
108 & 101.99 & NA & NA & 0.991608 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284248&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]72.04[/C][C]NA[/C][C]NA[/C][C]0.99365[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]72.26[/C][C]NA[/C][C]NA[/C][C]0.996024[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]72.53[/C][C]NA[/C][C]NA[/C][C]0.993852[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]72.41[/C][C]NA[/C][C]NA[/C][C]1.00832[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]72.91[/C][C]NA[/C][C]NA[/C][C]1.00667[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]72.84[/C][C]NA[/C][C]NA[/C][C]1.00764[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]72.92[/C][C]73.427[/C][C]72.8567[/C][C]1.00783[/C][C]0.993095[/C][/ROW]
[ROW][C]8[/C][C]73.03[/C][C]73.367[/C][C]73.0217[/C][C]1.00473[/C][C]0.995406[/C][/ROW]
[ROW][C]9[/C][C]72.98[/C][C]73.2132[/C][C]73.1971[/C][C]1.00022[/C][C]0.996815[/C][/ROW]
[ROW][C]10[/C][C]72.99[/C][C]73.1969[/C][C]73.3854[/C][C]0.997432[/C][C]0.997173[/C][/ROW]
[ROW][C]11[/C][C]73.15[/C][C]72.9568[/C][C]73.5433[/C][C]0.992025[/C][C]1.00265[/C][/ROW]
[ROW][C]12[/C][C]73.34[/C][C]73.041[/C][C]73.6592[/C][C]0.991608[/C][C]1.00409[/C][/ROW]
[ROW][C]13[/C][C]73.8[/C][C]73.3206[/C][C]73.7892[/C][C]0.99365[/C][C]1.00654[/C][/ROW]
[ROW][C]14[/C][C]74.46[/C][C]73.6198[/C][C]73.9137[/C][C]0.996024[/C][C]1.01141[/C][/ROW]
[ROW][C]15[/C][C]74.54[/C][C]73.5492[/C][C]74.0042[/C][C]0.993852[/C][C]1.01347[/C][/ROW]
[ROW][C]16[/C][C]74.92[/C][C]74.7139[/C][C]74.0971[/C][C]1.00832[/C][C]1.00276[/C][/ROW]
[ROW][C]17[/C][C]74.19[/C][C]74.6676[/C][C]74.1729[/C][C]1.00667[/C][C]0.993604[/C][/ROW]
[ROW][C]18[/C][C]74.34[/C][C]74.8024[/C][C]74.2354[/C][C]1.00764[/C][C]0.993818[/C][/ROW]
[ROW][C]19[/C][C]74.54[/C][C]74.9686[/C][C]74.3862[/C][C]1.00783[/C][C]0.994284[/C][/ROW]
[ROW][C]20[/C][C]74.4[/C][C]74.926[/C][C]74.5733[/C][C]1.00473[/C][C]0.992979[/C][/ROW]
[ROW][C]21[/C][C]73.78[/C][C]74.7598[/C][C]74.7433[/C][C]1.00022[/C][C]0.986895[/C][/ROW]
[ROW][C]22[/C][C]74.42[/C][C]74.7018[/C][C]74.8942[/C][C]0.997432[/C][C]0.996228[/C][/ROW]
[ROW][C]23[/C][C]73.54[/C][C]74.4548[/C][C]75.0533[/C][C]0.992025[/C][C]0.987713[/C][/ROW]
[ROW][C]24[/C][C]74.45[/C][C]74.6086[/C][C]75.24[/C][C]0.991608[/C][C]0.997874[/C][/ROW]
[ROW][C]25[/C][C]76.31[/C][C]75.002[/C][C]75.4813[/C][C]0.99365[/C][C]1.01744[/C][/ROW]
[ROW][C]26[/C][C]76.44[/C][C]75.5027[/C][C]75.8042[/C][C]0.996024[/C][C]1.01241[/C][/ROW]
[ROW][C]27[/C][C]76.64[/C][C]75.717[/C][C]76.1854[/C][C]0.993852[/C][C]1.01219[/C][/ROW]
[ROW][C]28[/C][C]76.44[/C][C]77.212[/C][C]76.5746[/C][C]1.00832[/C][C]0.990001[/C][/ROW]
[ROW][C]29[/C][C]76.49[/C][C]77.4657[/C][C]76.9525[/C][C]1.00667[/C][C]0.987405[/C][/ROW]
[ROW][C]30[/C][C]76.52[/C][C]77.9068[/C][C]77.3163[/C][C]1.00764[/C][C]0.982199[/C][/ROW]
[ROW][C]31[/C][C]78.15[/C][C]78.1915[/C][C]77.5842[/C][C]1.00783[/C][C]0.999469[/C][/ROW]
[ROW][C]32[/C][C]78.54[/C][C]78.2249[/C][C]77.8567[/C][C]1.00473[/C][C]1.00403[/C][/ROW]
[ROW][C]33[/C][C]78.79[/C][C]78.2197[/C][C]78.2025[/C][C]1.00022[/C][C]1.00729[/C][/ROW]
[ROW][C]34[/C][C]78.75[/C][C]78.3703[/C][C]78.5721[/C][C]0.997432[/C][C]1.00485[/C][/ROW]
[ROW][C]35[/C][C]78.28[/C][C]78.303[/C][C]78.9325[/C][C]0.992025[/C][C]0.999706[/C][/ROW]
[ROW][C]36[/C][C]78.44[/C][C]78.6003[/C][C]79.2654[/C][C]0.991608[/C][C]0.997961[/C][/ROW]
[ROW][C]37[/C][C]78.75[/C][C]79.0192[/C][C]79.5242[/C][C]0.99365[/C][C]0.996593[/C][/ROW]
[ROW][C]38[/C][C]80.54[/C][C]79.3719[/C][C]79.6887[/C][C]0.996024[/C][C]1.01472[/C][/ROW]
[ROW][C]39[/C][C]80.84[/C][C]79.3326[/C][C]79.8233[/C][C]0.993852[/C][C]1.019[/C][/ROW]
[ROW][C]40[/C][C]81.11[/C][C]80.6067[/C][C]79.9412[/C][C]1.00832[/C][C]1.00624[/C][/ROW]
[ROW][C]41[/C][C]80.47[/C][C]80.5948[/C][C]80.0608[/C][C]1.00667[/C][C]0.998452[/C][/ROW]
[ROW][C]42[/C][C]80.53[/C][C]80.7949[/C][C]80.1825[/C][C]1.00764[/C][C]0.996721[/C][/ROW]
[ROW][C]43[/C][C]80.35[/C][C]80.9181[/C][C]80.2896[/C][C]1.00783[/C][C]0.992979[/C][/ROW]
[ROW][C]44[/C][C]80.29[/C][C]80.7066[/C][C]80.3267[/C][C]1.00473[/C][C]0.994838[/C][/ROW]
[ROW][C]45[/C][C]80.27[/C][C]80.3264[/C][C]80.3088[/C][C]1.00022[/C][C]0.999298[/C][/ROW]
[ROW][C]46[/C][C]80.1[/C][C]80.2371[/C][C]80.4438[/C][C]0.997432[/C][C]0.998291[/C][/ROW]
[ROW][C]47[/C][C]79.8[/C][C]80.1482[/C][C]80.7925[/C][C]0.992025[/C][C]0.995656[/C][/ROW]
[ROW][C]48[/C][C]79.84[/C][C]80.5541[/C][C]81.2358[/C][C]0.991608[/C][C]0.991135[/C][/ROW]
[ROW][C]49[/C][C]79.92[/C][C]81.2048[/C][C]81.7238[/C][C]0.99365[/C][C]0.984178[/C][/ROW]
[ROW][C]50[/C][C]80.26[/C][C]81.886[/C][C]82.2129[/C][C]0.996024[/C][C]0.980143[/C][/ROW]
[ROW][C]51[/C][C]80.69[/C][C]82.175[/C][C]82.6833[/C][C]0.993852[/C][C]0.981929[/C][/ROW]
[ROW][C]52[/C][C]84.5[/C][C]83.8573[/C][C]83.165[/C][C]1.00832[/C][C]1.00766[/C][/ROW]
[ROW][C]53[/C][C]85.45[/C][C]84.2477[/C][C]83.6896[/C][C]1.00667[/C][C]1.01427[/C][/ROW]
[ROW][C]54[/C][C]86.19[/C][C]84.8838[/C][C]84.2404[/C][C]1.00764[/C][C]1.01539[/C][/ROW]
[ROW][C]55[/C][C]86.4[/C][C]85.4474[/C][C]84.7838[/C][C]1.00783[/C][C]1.01115[/C][/ROW]
[ROW][C]56[/C][C]85.98[/C][C]85.7302[/C][C]85.3267[/C][C]1.00473[/C][C]1.00291[/C][/ROW]
[ROW][C]57[/C][C]85.87[/C][C]85.8714[/C][C]85.8525[/C][C]1.00022[/C][C]0.999984[/C][/ROW]
[ROW][C]58[/C][C]86.06[/C][C]86.1527[/C][C]86.3746[/C][C]0.997432[/C][C]0.998924[/C][/ROW]
[ROW][C]59[/C][C]86.43[/C][C]86.25[/C][C]86.9433[/C][C]0.992025[/C][C]1.00209[/C][/ROW]
[ROW][C]60[/C][C]86.43[/C][C]86.8252[/C][C]87.56[/C][C]0.991608[/C][C]0.995448[/C][/ROW]
[ROW][C]61[/C][C]86.37[/C][C]87.6433[/C][C]88.2033[/C][C]0.99365[/C][C]0.985472[/C][/ROW]
[ROW][C]62[/C][C]86.84[/C][C]88.5096[/C][C]88.8629[/C][C]0.996024[/C][C]0.981137[/C][/ROW]
[ROW][C]63[/C][C]86.73[/C][C]88.9639[/C][C]89.5142[/C][C]0.993852[/C][C]0.97489[/C][/ROW]
[ROW][C]64[/C][C]90.99[/C][C]90.8816[/C][C]90.1313[/C][C]1.00832[/C][C]1.00119[/C][/ROW]
[ROW][C]65[/C][C]92.61[/C][C]91.3649[/C][C]90.7596[/C][C]1.00667[/C][C]1.01363[/C][/ROW]
[ROW][C]66[/C][C]93.83[/C][C]92.1233[/C][C]91.425[/C][C]1.00764[/C][C]1.01853[/C][/ROW]
[ROW][C]67[/C][C]94.2[/C][C]92.826[/C][C]92.105[/C][C]1.00783[/C][C]1.0148[/C][/ROW]
[ROW][C]68[/C][C]94.01[/C][C]93.2134[/C][C]92.7746[/C][C]1.00473[/C][C]1.00855[/C][/ROW]
[ROW][C]69[/C][C]93.47[/C][C]93.453[/C][C]93.4325[/C][C]1.00022[/C][C]1.00018[/C][/ROW]
[ROW][C]70[/C][C]93.27[/C][C]93.7536[/C][C]93.995[/C][C]0.997432[/C][C]0.994842[/C][/ROW]
[ROW][C]71[/C][C]94.3[/C][C]93.6625[/C][C]94.4154[/C][C]0.992025[/C][C]1.00681[/C][/ROW]
[ROW][C]72[/C][C]94.53[/C][C]93.9545[/C][C]94.7496[/C][C]0.991608[/C][C]1.00613[/C][/ROW]
[ROW][C]73[/C][C]94.59[/C][C]94.4485[/C][C]95.0521[/C][C]0.99365[/C][C]1.0015[/C][/ROW]
[ROW][C]74[/C][C]94.69[/C][C]95.0165[/C][C]95.3958[/C][C]0.996024[/C][C]0.996564[/C][/ROW]
[ROW][C]75[/C][C]94.67[/C][C]95.2284[/C][C]95.8175[/C][C]0.993852[/C][C]0.994136[/C][/ROW]
[ROW][C]76[/C][C]96.55[/C][C]97.0966[/C][C]96.295[/C][C]1.00832[/C][C]0.99437[/C][/ROW]
[ROW][C]77[/C][C]97.14[/C][C]97.3684[/C][C]96.7233[/C][C]1.00667[/C][C]0.997655[/C][/ROW]
[ROW][C]78[/C][C]97.32[/C][C]97.8454[/C][C]97.1037[/C][C]1.00764[/C][C]0.99463[/C][/ROW]
[ROW][C]79[/C][C]97.97[/C][C]98.2708[/C][C]97.5075[/C][C]1.00783[/C][C]0.996939[/C][/ROW]
[ROW][C]80[/C][C]98.49[/C][C]98.3819[/C][C]97.9187[/C][C]1.00473[/C][C]1.0011[/C][/ROW]
[ROW][C]81[/C][C]99.11[/C][C]98.3512[/C][C]98.3296[/C][C]1.00022[/C][C]1.00772[/C][/ROW]
[ROW][C]82[/C][C]99.09[/C][C]98.4598[/C][C]98.7133[/C][C]0.997432[/C][C]1.0064[/C][/ROW]
[ROW][C]83[/C][C]98.76[/C][C]98.2336[/C][C]99.0233[/C][C]0.992025[/C][C]1.00536[/C][/ROW]
[ROW][C]84[/C][C]99.2[/C][C]98.4696[/C][C]99.3029[/C][C]0.991608[/C][C]1.00742[/C][/ROW]
[ROW][C]85[/C][C]99.61[/C][C]98.9162[/C][C]99.5483[/C][C]0.99365[/C][C]1.00701[/C][/ROW]
[ROW][C]86[/C][C]99.54[/C][C]99.3318[/C][C]99.7283[/C][C]0.996024[/C][C]1.0021[/C][/ROW]
[ROW][C]87[/C][C]99.68[/C][C]99.2357[/C][C]99.8496[/C][C]0.993852[/C][C]1.00448[/C][/ROW]
[ROW][C]88[/C][C]100.75[/C][C]100.761[/C][C]99.9296[/C][C]1.00832[/C][C]0.999886[/C][/ROW]
[ROW][C]89[/C][C]100.38[/C][C]100.651[/C][C]99.9846[/C][C]1.00667[/C][C]0.997304[/C][/ROW]
[ROW][C]90[/C][C]100.79[/C][C]100.764[/C][C]100[/C][C]1.00764[/C][C]1.00026[/C][/ROW]
[ROW][C]91[/C][C]100.39[/C][C]100.781[/C][C]99.9983[/C][C]1.00783[/C][C]0.996119[/C][/ROW]
[ROW][C]92[/C][C]100.39[/C][C]100.488[/C][C]100.015[/C][C]1.00473[/C][C]0.999024[/C][/ROW]
[ROW][C]93[/C][C]100.12[/C][C]100.054[/C][C]100.032[/C][C]1.00022[/C][C]1.00065[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]99.7872[/C][C]100.044[/C][C]0.997432[/C][C]1.00213[/C][/ROW]
[ROW][C]95[/C][C]99.17[/C][C]99.2831[/C][C]100.081[/C][C]0.992025[/C][C]0.998861[/C][/ROW]
[ROW][C]96[/C][C]99.17[/C][C]99.291[/C][C]100.131[/C][C]0.991608[/C][C]0.998781[/C][/ROW]
[ROW][C]97[/C][C]99.59[/C][C]99.5799[/C][C]100.216[/C][C]0.99365[/C][C]1.0001[/C][/ROW]
[ROW][C]98[/C][C]99.96[/C][C]99.9248[/C][C]100.324[/C][C]0.996024[/C][C]1.00035[/C][/ROW]
[ROW][C]99[/C][C]99.68[/C][C]99.8055[/C][C]100.423[/C][C]0.993852[/C][C]0.998742[/C][/ROW]
[ROW][C]100[/C][C]101.03[/C][C]101.363[/C][C]100.526[/C][C]1.00832[/C][C]0.996718[/C][/ROW]
[ROW][C]101[/C][C]100.99[/C][C]101.343[/C][C]100.672[/C][C]1.00667[/C][C]0.996516[/C][/ROW]
[ROW][C]102[/C][C]101.38[/C][C]101.655[/C][C]100.884[/C][C]1.00764[/C][C]0.997297[/C][/ROW]
[ROW][C]103[/C][C]101.84[/C][C]NA[/C][C]NA[/C][C]1.00783[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.52[/C][C]NA[/C][C]NA[/C][C]1.00473[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.37[/C][C]NA[/C][C]NA[/C][C]1.00022[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.22[/C][C]NA[/C][C]NA[/C][C]0.997432[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.45[/C][C]NA[/C][C]NA[/C][C]0.992025[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.99[/C][C]NA[/C][C]NA[/C][C]0.991608[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284248&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284248&T=1

As an alternative you can also use a QR Code:  

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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
172.04NANA0.99365NA
272.26NANA0.996024NA
372.53NANA0.993852NA
472.41NANA1.00832NA
572.91NANA1.00667NA
672.84NANA1.00764NA
772.9273.42772.85671.007830.993095
873.0373.36773.02171.004730.995406
972.9873.213273.19711.000220.996815
1072.9973.196973.38540.9974320.997173
1173.1572.956873.54330.9920251.00265
1273.3473.04173.65920.9916081.00409
1373.873.320673.78920.993651.00654
1474.4673.619873.91370.9960241.01141
1574.5473.549274.00420.9938521.01347
1674.9274.713974.09711.008321.00276
1774.1974.667674.17291.006670.993604
1874.3474.802474.23541.007640.993818
1974.5474.968674.38621.007830.994284
2074.474.92674.57331.004730.992979
2173.7874.759874.74331.000220.986895
2274.4274.701874.89420.9974320.996228
2373.5474.454875.05330.9920250.987713
2474.4574.608675.240.9916080.997874
2576.3175.00275.48130.993651.01744
2676.4475.502775.80420.9960241.01241
2776.6475.71776.18540.9938521.01219
2876.4477.21276.57461.008320.990001
2976.4977.465776.95251.006670.987405
3076.5277.906877.31631.007640.982199
3178.1578.191577.58421.007830.999469
3278.5478.224977.85671.004731.00403
3378.7978.219778.20251.000221.00729
3478.7578.370378.57210.9974321.00485
3578.2878.30378.93250.9920250.999706
3678.4478.600379.26540.9916080.997961
3778.7579.019279.52420.993650.996593
3880.5479.371979.68870.9960241.01472
3980.8479.332679.82330.9938521.019
4081.1180.606779.94121.008321.00624
4180.4780.594880.06081.006670.998452
4280.5380.794980.18251.007640.996721
4380.3580.918180.28961.007830.992979
4480.2980.706680.32671.004730.994838
4580.2780.326480.30881.000220.999298
4680.180.237180.44380.9974320.998291
4779.880.148280.79250.9920250.995656
4879.8480.554181.23580.9916080.991135
4979.9281.204881.72380.993650.984178
5080.2681.88682.21290.9960240.980143
5180.6982.17582.68330.9938520.981929
5284.583.857383.1651.008321.00766
5385.4584.247783.68961.006671.01427
5486.1984.883884.24041.007641.01539
5586.485.447484.78381.007831.01115
5685.9885.730285.32671.004731.00291
5785.8785.871485.85251.000220.999984
5886.0686.152786.37460.9974320.998924
5986.4386.2586.94330.9920251.00209
6086.4386.825287.560.9916080.995448
6186.3787.643388.20330.993650.985472
6286.8488.509688.86290.9960240.981137
6386.7388.963989.51420.9938520.97489
6490.9990.881690.13131.008321.00119
6592.6191.364990.75961.006671.01363
6693.8392.123391.4251.007641.01853
6794.292.82692.1051.007831.0148
6894.0193.213492.77461.004731.00855
6993.4793.45393.43251.000221.00018
7093.2793.753693.9950.9974320.994842
7194.393.662594.41540.9920251.00681
7294.5393.954594.74960.9916081.00613
7394.5994.448595.05210.993651.0015
7494.6995.016595.39580.9960240.996564
7594.6795.228495.81750.9938520.994136
7696.5597.096696.2951.008320.99437
7797.1497.368496.72331.006670.997655
7897.3297.845497.10371.007640.99463
7997.9798.270897.50751.007830.996939
8098.4998.381997.91871.004731.0011
8199.1198.351298.32961.000221.00772
8299.0998.459898.71330.9974321.0064
8398.7698.233699.02330.9920251.00536
8499.298.469699.30290.9916081.00742
8599.6198.916299.54830.993651.00701
8699.5499.331899.72830.9960241.0021
8799.6899.235799.84960.9938521.00448
88100.75100.76199.92961.008320.999886
89100.38100.65199.98461.006670.997304
90100.79100.7641001.007641.00026
91100.39100.78199.99831.007830.996119
92100.39100.488100.0151.004730.999024
93100.12100.054100.0321.000221.00065
9410099.7872100.0440.9974321.00213
9599.1799.2831100.0810.9920250.998861
9699.1799.291100.1310.9916080.998781
9799.5999.5799100.2160.993651.0001
9899.9699.9248100.3240.9960241.00035
9999.6899.8055100.4230.9938520.998742
100101.03101.363100.5261.008320.996718
101100.99101.343100.6721.006670.996516
102101.38101.655100.8841.007640.997297
103101.84NANA1.00783NA
104101.52NANA1.00473NA
105101.37NANA1.00022NA
106101.22NANA0.997432NA
107101.45NANA0.992025NA
108101.99NANA0.991608NA



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