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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 04 Jan 2016 14:41:42 +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/2016/Jan/04/t1451918675ltjingdy0qyl5qh.htm/, Retrieved Sun, 05 May 2024 16:11:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287323, Retrieved Sun, 05 May 2024 16:11:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact166
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Saghar Najafi Zadeh] [2015-11-29 14:57:00] [a726dea3093235710caf789b0c5edf8a]
- R P     [Classical Decomposition] [Saghar Najafi Zadeh] [2016-01-04 14:41:42] [c23f68ac64e5ceef3ca8a84a34b0ff7e] [Current]
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Dataseries X:
88.83
89.01
88.21
87.78
87.93
88.11
88.2
88.12
88.38
87.65
88.24
87.83
87.75
87.88
87.61
88.05
87.77
87.79
88.34
88.48
88.75
87.95
89.09
88.73
89.24
89.77
89.84
90.97
91.53
92.2
92.27
92.42
92.07
91.73
92.1
91.68
92.63
93.02
92.66
93.23
93.79
93.92
94.04
94.23
94.37
94.29
94.38
94
94.11
93.98
93.42
93.3
93.32
93.75
93.82
94.06
94.09
93.64
93.9
93.18
93.54
93.55
93.8
93.39
93.27
93.58
93.47
93.75
93.3
92.65
92.96
92.84
93.29
93.57
93.54
94.38
93.98
94.48
94.63
95.45
95.59
94.76
95.66
95.03
96.45
97.15
97.5
98.54
99.54
100.33
100.28
101.81
101.91
101.92
102.68
101.9
102.14
102.3
102.06
102.4
102.99
102.99
102.83
103.01
102.6
102.18
102.6
101.44




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287323&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287323&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287323&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
188.83NANA-0.192001NA
289.01NANA-0.0870009NA
388.21NANA-0.337365NA
487.78NANA-0.00835503NA
587.93NANA0.0824262NA
688.11NANA0.292999NA
788.288.333788.14580.187895-0.133728
888.1288.511988.05370.458103-0.391853
988.3888.315987.98170.3342490.0640842
1087.6587.670187.9679-0.297782-0.0201345
1188.2488.072687.97250.1001350.167365
1287.8387.419287.9525-0.5333030.410803
1387.7587.75387.945-0.192001-0.00299913
1487.8887.878887.9658-0.08700090.00116753
1587.6187.658987.9962-0.337365-0.0488845
1688.0588.015888.0242-0.008355030.0341884
1787.7788.154588.07210.0824262-0.38451
1887.7988.43888.1450.292999-0.647999
1988.3488.432588.24460.187895-0.0924783
2088.4888.843588.38540.458103-0.36352
2188.7588.891388.55710.334249-0.141332
2287.9588.473988.7717-0.297782-0.523885
2389.0989.150189.050.100135-0.0601345
2488.7388.857189.3904-0.533303-0.127114
2589.2489.545989.7379-0.192001-0.305916
2689.7789.978890.0658-0.0870009-0.208832
2789.8490.03190.3683-0.337365-0.190968
2890.9790.655890.6642-0.008355030.314188
2991.5391.029590.94710.08242620.50049
3092.291.488491.19540.2929990.711584
3192.2791.647591.45960.1878950.622522
3292.4292.194491.73620.4581030.225647
3392.0792.323491.98920.334249-0.253416
3491.7391.903192.2008-0.297782-0.173051
3592.192.489392.38920.100135-0.389301
3691.6892.021792.555-0.533303-0.341697
3792.6392.508492.7004-0.1920010.121584
3893.0292.762692.8496-0.08700090.257418
3992.6692.683593.0208-0.337365-0.0234679
4093.2393.21593.2233-0.008355030.0150217
4193.7993.507493.4250.08242620.282574
4293.9293.909793.61670.2929990.0103342
4394.0493.962993.7750.1878950.077105
4494.2394.334893.87670.458103-0.10477
4594.3794.282693.94830.3342490.0874175
4694.2993.685193.9829-0.2977820.604865
4794.3894.066493.96630.1001350.313615
489493.406393.9396-0.5333030.59372
4994.1193.731393.9233-0.1920010.378668
5093.9893.820193.9071-0.08700090.159918
5193.4293.55193.8883-0.337365-0.130968
5293.393.841293.8496-0.00835503-0.541228
5393.3293.884993.80250.0824262-0.564926
5493.7594.041393.74830.292999-0.291332
5593.8293.878393.69040.187895-0.0583116
5694.0694.106993.64880.458103-0.0468533
5794.0993.980993.64670.3342490.109084
5893.6493.368593.6662-0.2977820.271532
5993.993.768193.66790.1001350.131949
6093.1893.125493.6588-0.5333030.054553
6193.5493.445193.6371-0.1920010.0949175
6293.5593.522693.6096-0.08700090.0274175
6393.893.226493.5638-0.3373650.573615
6493.3993.481293.4896-0.00835503-0.0912283
6593.2793.491693.40920.0824262-0.221593
6693.5893.648893.35580.292999-0.0688325
6793.4793.519193.33120.187895-0.049145
6893.7593.779893.32170.458103-0.02977
6993.393.645993.31170.334249-0.345916
7092.6593.044393.3421-0.297782-0.394301
7192.9693.513193.41290.100135-0.553051
7292.8492.946793.48-0.533303-0.106697
7393.2993.373893.5658-0.192001-0.0838325
7493.5793.59893.685-0.0870009-0.0279991
7593.5493.513993.8513-0.3373650.0261155
7694.3894.026294.0346-0.008355030.353772
7793.9894.317494.2350.0824262-0.337426
7894.4894.731794.43880.292999-0.251749
7994.6394.849694.66170.187895-0.219562
8095.4595.400694.94250.4581030.0493967
8195.5995.590995.25670.334249-0.000915799
8294.7695.297295.595-0.297782-0.537218
8395.6696.1001960.100135-0.440135
8495.0395.942196.4754-0.533303-0.912114
8596.4596.762696.9546-0.192001-0.312582
8697.1597.36897.455-0.0870009-0.217999
8797.597.64697.9833-0.337365-0.145968
8898.5498.536698.545-0.008355030.00335503
8999.5499.218399.13580.08242620.32174
90100.33100.00899.71460.2929990.322418
91100.28100.426100.2380.187895-0.145812
92101.81101.148100.690.4581030.662313
93101.91101.428101.0940.3342490.481584
94101.92101.147101.445-0.2977820.772782
95102.68101.85101.750.1001350.830282
96101.9101.471102.004-0.5333030.429136
97102.14102.029102.221-0.1920010.110751
98102.3102.29102.378-0.08700090.00950087
99102.06102.119102.456-0.337365-0.0588845
100102.4102.487102.496-0.00835503-0.0874783
101102.99102.586102.5030.08242620.40424
102102.99102.774102.4810.2929990.216168
103102.83NANA0.187895NA
104103.01NANA0.458103NA
105102.6NANA0.334249NA
106102.18NANA-0.297782NA
107102.6NANA0.100135NA
108101.44NANA-0.533303NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 88.83 & NA & NA & -0.192001 & NA \tabularnewline
2 & 89.01 & NA & NA & -0.0870009 & NA \tabularnewline
3 & 88.21 & NA & NA & -0.337365 & NA \tabularnewline
4 & 87.78 & NA & NA & -0.00835503 & NA \tabularnewline
5 & 87.93 & NA & NA & 0.0824262 & NA \tabularnewline
6 & 88.11 & NA & NA & 0.292999 & NA \tabularnewline
7 & 88.2 & 88.3337 & 88.1458 & 0.187895 & -0.133728 \tabularnewline
8 & 88.12 & 88.5119 & 88.0537 & 0.458103 & -0.391853 \tabularnewline
9 & 88.38 & 88.3159 & 87.9817 & 0.334249 & 0.0640842 \tabularnewline
10 & 87.65 & 87.6701 & 87.9679 & -0.297782 & -0.0201345 \tabularnewline
11 & 88.24 & 88.0726 & 87.9725 & 0.100135 & 0.167365 \tabularnewline
12 & 87.83 & 87.4192 & 87.9525 & -0.533303 & 0.410803 \tabularnewline
13 & 87.75 & 87.753 & 87.945 & -0.192001 & -0.00299913 \tabularnewline
14 & 87.88 & 87.8788 & 87.9658 & -0.0870009 & 0.00116753 \tabularnewline
15 & 87.61 & 87.6589 & 87.9962 & -0.337365 & -0.0488845 \tabularnewline
16 & 88.05 & 88.0158 & 88.0242 & -0.00835503 & 0.0341884 \tabularnewline
17 & 87.77 & 88.1545 & 88.0721 & 0.0824262 & -0.38451 \tabularnewline
18 & 87.79 & 88.438 & 88.145 & 0.292999 & -0.647999 \tabularnewline
19 & 88.34 & 88.4325 & 88.2446 & 0.187895 & -0.0924783 \tabularnewline
20 & 88.48 & 88.8435 & 88.3854 & 0.458103 & -0.36352 \tabularnewline
21 & 88.75 & 88.8913 & 88.5571 & 0.334249 & -0.141332 \tabularnewline
22 & 87.95 & 88.4739 & 88.7717 & -0.297782 & -0.523885 \tabularnewline
23 & 89.09 & 89.1501 & 89.05 & 0.100135 & -0.0601345 \tabularnewline
24 & 88.73 & 88.8571 & 89.3904 & -0.533303 & -0.127114 \tabularnewline
25 & 89.24 & 89.5459 & 89.7379 & -0.192001 & -0.305916 \tabularnewline
26 & 89.77 & 89.9788 & 90.0658 & -0.0870009 & -0.208832 \tabularnewline
27 & 89.84 & 90.031 & 90.3683 & -0.337365 & -0.190968 \tabularnewline
28 & 90.97 & 90.6558 & 90.6642 & -0.00835503 & 0.314188 \tabularnewline
29 & 91.53 & 91.0295 & 90.9471 & 0.0824262 & 0.50049 \tabularnewline
30 & 92.2 & 91.4884 & 91.1954 & 0.292999 & 0.711584 \tabularnewline
31 & 92.27 & 91.6475 & 91.4596 & 0.187895 & 0.622522 \tabularnewline
32 & 92.42 & 92.1944 & 91.7362 & 0.458103 & 0.225647 \tabularnewline
33 & 92.07 & 92.3234 & 91.9892 & 0.334249 & -0.253416 \tabularnewline
34 & 91.73 & 91.9031 & 92.2008 & -0.297782 & -0.173051 \tabularnewline
35 & 92.1 & 92.4893 & 92.3892 & 0.100135 & -0.389301 \tabularnewline
36 & 91.68 & 92.0217 & 92.555 & -0.533303 & -0.341697 \tabularnewline
37 & 92.63 & 92.5084 & 92.7004 & -0.192001 & 0.121584 \tabularnewline
38 & 93.02 & 92.7626 & 92.8496 & -0.0870009 & 0.257418 \tabularnewline
39 & 92.66 & 92.6835 & 93.0208 & -0.337365 & -0.0234679 \tabularnewline
40 & 93.23 & 93.215 & 93.2233 & -0.00835503 & 0.0150217 \tabularnewline
41 & 93.79 & 93.5074 & 93.425 & 0.0824262 & 0.282574 \tabularnewline
42 & 93.92 & 93.9097 & 93.6167 & 0.292999 & 0.0103342 \tabularnewline
43 & 94.04 & 93.9629 & 93.775 & 0.187895 & 0.077105 \tabularnewline
44 & 94.23 & 94.3348 & 93.8767 & 0.458103 & -0.10477 \tabularnewline
45 & 94.37 & 94.2826 & 93.9483 & 0.334249 & 0.0874175 \tabularnewline
46 & 94.29 & 93.6851 & 93.9829 & -0.297782 & 0.604865 \tabularnewline
47 & 94.38 & 94.0664 & 93.9663 & 0.100135 & 0.313615 \tabularnewline
48 & 94 & 93.4063 & 93.9396 & -0.533303 & 0.59372 \tabularnewline
49 & 94.11 & 93.7313 & 93.9233 & -0.192001 & 0.378668 \tabularnewline
50 & 93.98 & 93.8201 & 93.9071 & -0.0870009 & 0.159918 \tabularnewline
51 & 93.42 & 93.551 & 93.8883 & -0.337365 & -0.130968 \tabularnewline
52 & 93.3 & 93.8412 & 93.8496 & -0.00835503 & -0.541228 \tabularnewline
53 & 93.32 & 93.8849 & 93.8025 & 0.0824262 & -0.564926 \tabularnewline
54 & 93.75 & 94.0413 & 93.7483 & 0.292999 & -0.291332 \tabularnewline
55 & 93.82 & 93.8783 & 93.6904 & 0.187895 & -0.0583116 \tabularnewline
56 & 94.06 & 94.1069 & 93.6488 & 0.458103 & -0.0468533 \tabularnewline
57 & 94.09 & 93.9809 & 93.6467 & 0.334249 & 0.109084 \tabularnewline
58 & 93.64 & 93.3685 & 93.6662 & -0.297782 & 0.271532 \tabularnewline
59 & 93.9 & 93.7681 & 93.6679 & 0.100135 & 0.131949 \tabularnewline
60 & 93.18 & 93.1254 & 93.6588 & -0.533303 & 0.054553 \tabularnewline
61 & 93.54 & 93.4451 & 93.6371 & -0.192001 & 0.0949175 \tabularnewline
62 & 93.55 & 93.5226 & 93.6096 & -0.0870009 & 0.0274175 \tabularnewline
63 & 93.8 & 93.2264 & 93.5638 & -0.337365 & 0.573615 \tabularnewline
64 & 93.39 & 93.4812 & 93.4896 & -0.00835503 & -0.0912283 \tabularnewline
65 & 93.27 & 93.4916 & 93.4092 & 0.0824262 & -0.221593 \tabularnewline
66 & 93.58 & 93.6488 & 93.3558 & 0.292999 & -0.0688325 \tabularnewline
67 & 93.47 & 93.5191 & 93.3312 & 0.187895 & -0.049145 \tabularnewline
68 & 93.75 & 93.7798 & 93.3217 & 0.458103 & -0.02977 \tabularnewline
69 & 93.3 & 93.6459 & 93.3117 & 0.334249 & -0.345916 \tabularnewline
70 & 92.65 & 93.0443 & 93.3421 & -0.297782 & -0.394301 \tabularnewline
71 & 92.96 & 93.5131 & 93.4129 & 0.100135 & -0.553051 \tabularnewline
72 & 92.84 & 92.9467 & 93.48 & -0.533303 & -0.106697 \tabularnewline
73 & 93.29 & 93.3738 & 93.5658 & -0.192001 & -0.0838325 \tabularnewline
74 & 93.57 & 93.598 & 93.685 & -0.0870009 & -0.0279991 \tabularnewline
75 & 93.54 & 93.5139 & 93.8513 & -0.337365 & 0.0261155 \tabularnewline
76 & 94.38 & 94.0262 & 94.0346 & -0.00835503 & 0.353772 \tabularnewline
77 & 93.98 & 94.3174 & 94.235 & 0.0824262 & -0.337426 \tabularnewline
78 & 94.48 & 94.7317 & 94.4388 & 0.292999 & -0.251749 \tabularnewline
79 & 94.63 & 94.8496 & 94.6617 & 0.187895 & -0.219562 \tabularnewline
80 & 95.45 & 95.4006 & 94.9425 & 0.458103 & 0.0493967 \tabularnewline
81 & 95.59 & 95.5909 & 95.2567 & 0.334249 & -0.000915799 \tabularnewline
82 & 94.76 & 95.2972 & 95.595 & -0.297782 & -0.537218 \tabularnewline
83 & 95.66 & 96.1001 & 96 & 0.100135 & -0.440135 \tabularnewline
84 & 95.03 & 95.9421 & 96.4754 & -0.533303 & -0.912114 \tabularnewline
85 & 96.45 & 96.7626 & 96.9546 & -0.192001 & -0.312582 \tabularnewline
86 & 97.15 & 97.368 & 97.455 & -0.0870009 & -0.217999 \tabularnewline
87 & 97.5 & 97.646 & 97.9833 & -0.337365 & -0.145968 \tabularnewline
88 & 98.54 & 98.5366 & 98.545 & -0.00835503 & 0.00335503 \tabularnewline
89 & 99.54 & 99.2183 & 99.1358 & 0.0824262 & 0.32174 \tabularnewline
90 & 100.33 & 100.008 & 99.7146 & 0.292999 & 0.322418 \tabularnewline
91 & 100.28 & 100.426 & 100.238 & 0.187895 & -0.145812 \tabularnewline
92 & 101.81 & 101.148 & 100.69 & 0.458103 & 0.662313 \tabularnewline
93 & 101.91 & 101.428 & 101.094 & 0.334249 & 0.481584 \tabularnewline
94 & 101.92 & 101.147 & 101.445 & -0.297782 & 0.772782 \tabularnewline
95 & 102.68 & 101.85 & 101.75 & 0.100135 & 0.830282 \tabularnewline
96 & 101.9 & 101.471 & 102.004 & -0.533303 & 0.429136 \tabularnewline
97 & 102.14 & 102.029 & 102.221 & -0.192001 & 0.110751 \tabularnewline
98 & 102.3 & 102.29 & 102.378 & -0.0870009 & 0.00950087 \tabularnewline
99 & 102.06 & 102.119 & 102.456 & -0.337365 & -0.0588845 \tabularnewline
100 & 102.4 & 102.487 & 102.496 & -0.00835503 & -0.0874783 \tabularnewline
101 & 102.99 & 102.586 & 102.503 & 0.0824262 & 0.40424 \tabularnewline
102 & 102.99 & 102.774 & 102.481 & 0.292999 & 0.216168 \tabularnewline
103 & 102.83 & NA & NA & 0.187895 & NA \tabularnewline
104 & 103.01 & NA & NA & 0.458103 & NA \tabularnewline
105 & 102.6 & NA & NA & 0.334249 & NA \tabularnewline
106 & 102.18 & NA & NA & -0.297782 & NA \tabularnewline
107 & 102.6 & NA & NA & 0.100135 & NA \tabularnewline
108 & 101.44 & NA & NA & -0.533303 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287323&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]88.83[/C][C]NA[/C][C]NA[/C][C]-0.192001[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]89.01[/C][C]NA[/C][C]NA[/C][C]-0.0870009[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]88.21[/C][C]NA[/C][C]NA[/C][C]-0.337365[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]87.78[/C][C]NA[/C][C]NA[/C][C]-0.00835503[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]87.93[/C][C]NA[/C][C]NA[/C][C]0.0824262[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]88.11[/C][C]NA[/C][C]NA[/C][C]0.292999[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]88.2[/C][C]88.3337[/C][C]88.1458[/C][C]0.187895[/C][C]-0.133728[/C][/ROW]
[ROW][C]8[/C][C]88.12[/C][C]88.5119[/C][C]88.0537[/C][C]0.458103[/C][C]-0.391853[/C][/ROW]
[ROW][C]9[/C][C]88.38[/C][C]88.3159[/C][C]87.9817[/C][C]0.334249[/C][C]0.0640842[/C][/ROW]
[ROW][C]10[/C][C]87.65[/C][C]87.6701[/C][C]87.9679[/C][C]-0.297782[/C][C]-0.0201345[/C][/ROW]
[ROW][C]11[/C][C]88.24[/C][C]88.0726[/C][C]87.9725[/C][C]0.100135[/C][C]0.167365[/C][/ROW]
[ROW][C]12[/C][C]87.83[/C][C]87.4192[/C][C]87.9525[/C][C]-0.533303[/C][C]0.410803[/C][/ROW]
[ROW][C]13[/C][C]87.75[/C][C]87.753[/C][C]87.945[/C][C]-0.192001[/C][C]-0.00299913[/C][/ROW]
[ROW][C]14[/C][C]87.88[/C][C]87.8788[/C][C]87.9658[/C][C]-0.0870009[/C][C]0.00116753[/C][/ROW]
[ROW][C]15[/C][C]87.61[/C][C]87.6589[/C][C]87.9962[/C][C]-0.337365[/C][C]-0.0488845[/C][/ROW]
[ROW][C]16[/C][C]88.05[/C][C]88.0158[/C][C]88.0242[/C][C]-0.00835503[/C][C]0.0341884[/C][/ROW]
[ROW][C]17[/C][C]87.77[/C][C]88.1545[/C][C]88.0721[/C][C]0.0824262[/C][C]-0.38451[/C][/ROW]
[ROW][C]18[/C][C]87.79[/C][C]88.438[/C][C]88.145[/C][C]0.292999[/C][C]-0.647999[/C][/ROW]
[ROW][C]19[/C][C]88.34[/C][C]88.4325[/C][C]88.2446[/C][C]0.187895[/C][C]-0.0924783[/C][/ROW]
[ROW][C]20[/C][C]88.48[/C][C]88.8435[/C][C]88.3854[/C][C]0.458103[/C][C]-0.36352[/C][/ROW]
[ROW][C]21[/C][C]88.75[/C][C]88.8913[/C][C]88.5571[/C][C]0.334249[/C][C]-0.141332[/C][/ROW]
[ROW][C]22[/C][C]87.95[/C][C]88.4739[/C][C]88.7717[/C][C]-0.297782[/C][C]-0.523885[/C][/ROW]
[ROW][C]23[/C][C]89.09[/C][C]89.1501[/C][C]89.05[/C][C]0.100135[/C][C]-0.0601345[/C][/ROW]
[ROW][C]24[/C][C]88.73[/C][C]88.8571[/C][C]89.3904[/C][C]-0.533303[/C][C]-0.127114[/C][/ROW]
[ROW][C]25[/C][C]89.24[/C][C]89.5459[/C][C]89.7379[/C][C]-0.192001[/C][C]-0.305916[/C][/ROW]
[ROW][C]26[/C][C]89.77[/C][C]89.9788[/C][C]90.0658[/C][C]-0.0870009[/C][C]-0.208832[/C][/ROW]
[ROW][C]27[/C][C]89.84[/C][C]90.031[/C][C]90.3683[/C][C]-0.337365[/C][C]-0.190968[/C][/ROW]
[ROW][C]28[/C][C]90.97[/C][C]90.6558[/C][C]90.6642[/C][C]-0.00835503[/C][C]0.314188[/C][/ROW]
[ROW][C]29[/C][C]91.53[/C][C]91.0295[/C][C]90.9471[/C][C]0.0824262[/C][C]0.50049[/C][/ROW]
[ROW][C]30[/C][C]92.2[/C][C]91.4884[/C][C]91.1954[/C][C]0.292999[/C][C]0.711584[/C][/ROW]
[ROW][C]31[/C][C]92.27[/C][C]91.6475[/C][C]91.4596[/C][C]0.187895[/C][C]0.622522[/C][/ROW]
[ROW][C]32[/C][C]92.42[/C][C]92.1944[/C][C]91.7362[/C][C]0.458103[/C][C]0.225647[/C][/ROW]
[ROW][C]33[/C][C]92.07[/C][C]92.3234[/C][C]91.9892[/C][C]0.334249[/C][C]-0.253416[/C][/ROW]
[ROW][C]34[/C][C]91.73[/C][C]91.9031[/C][C]92.2008[/C][C]-0.297782[/C][C]-0.173051[/C][/ROW]
[ROW][C]35[/C][C]92.1[/C][C]92.4893[/C][C]92.3892[/C][C]0.100135[/C][C]-0.389301[/C][/ROW]
[ROW][C]36[/C][C]91.68[/C][C]92.0217[/C][C]92.555[/C][C]-0.533303[/C][C]-0.341697[/C][/ROW]
[ROW][C]37[/C][C]92.63[/C][C]92.5084[/C][C]92.7004[/C][C]-0.192001[/C][C]0.121584[/C][/ROW]
[ROW][C]38[/C][C]93.02[/C][C]92.7626[/C][C]92.8496[/C][C]-0.0870009[/C][C]0.257418[/C][/ROW]
[ROW][C]39[/C][C]92.66[/C][C]92.6835[/C][C]93.0208[/C][C]-0.337365[/C][C]-0.0234679[/C][/ROW]
[ROW][C]40[/C][C]93.23[/C][C]93.215[/C][C]93.2233[/C][C]-0.00835503[/C][C]0.0150217[/C][/ROW]
[ROW][C]41[/C][C]93.79[/C][C]93.5074[/C][C]93.425[/C][C]0.0824262[/C][C]0.282574[/C][/ROW]
[ROW][C]42[/C][C]93.92[/C][C]93.9097[/C][C]93.6167[/C][C]0.292999[/C][C]0.0103342[/C][/ROW]
[ROW][C]43[/C][C]94.04[/C][C]93.9629[/C][C]93.775[/C][C]0.187895[/C][C]0.077105[/C][/ROW]
[ROW][C]44[/C][C]94.23[/C][C]94.3348[/C][C]93.8767[/C][C]0.458103[/C][C]-0.10477[/C][/ROW]
[ROW][C]45[/C][C]94.37[/C][C]94.2826[/C][C]93.9483[/C][C]0.334249[/C][C]0.0874175[/C][/ROW]
[ROW][C]46[/C][C]94.29[/C][C]93.6851[/C][C]93.9829[/C][C]-0.297782[/C][C]0.604865[/C][/ROW]
[ROW][C]47[/C][C]94.38[/C][C]94.0664[/C][C]93.9663[/C][C]0.100135[/C][C]0.313615[/C][/ROW]
[ROW][C]48[/C][C]94[/C][C]93.4063[/C][C]93.9396[/C][C]-0.533303[/C][C]0.59372[/C][/ROW]
[ROW][C]49[/C][C]94.11[/C][C]93.7313[/C][C]93.9233[/C][C]-0.192001[/C][C]0.378668[/C][/ROW]
[ROW][C]50[/C][C]93.98[/C][C]93.8201[/C][C]93.9071[/C][C]-0.0870009[/C][C]0.159918[/C][/ROW]
[ROW][C]51[/C][C]93.42[/C][C]93.551[/C][C]93.8883[/C][C]-0.337365[/C][C]-0.130968[/C][/ROW]
[ROW][C]52[/C][C]93.3[/C][C]93.8412[/C][C]93.8496[/C][C]-0.00835503[/C][C]-0.541228[/C][/ROW]
[ROW][C]53[/C][C]93.32[/C][C]93.8849[/C][C]93.8025[/C][C]0.0824262[/C][C]-0.564926[/C][/ROW]
[ROW][C]54[/C][C]93.75[/C][C]94.0413[/C][C]93.7483[/C][C]0.292999[/C][C]-0.291332[/C][/ROW]
[ROW][C]55[/C][C]93.82[/C][C]93.8783[/C][C]93.6904[/C][C]0.187895[/C][C]-0.0583116[/C][/ROW]
[ROW][C]56[/C][C]94.06[/C][C]94.1069[/C][C]93.6488[/C][C]0.458103[/C][C]-0.0468533[/C][/ROW]
[ROW][C]57[/C][C]94.09[/C][C]93.9809[/C][C]93.6467[/C][C]0.334249[/C][C]0.109084[/C][/ROW]
[ROW][C]58[/C][C]93.64[/C][C]93.3685[/C][C]93.6662[/C][C]-0.297782[/C][C]0.271532[/C][/ROW]
[ROW][C]59[/C][C]93.9[/C][C]93.7681[/C][C]93.6679[/C][C]0.100135[/C][C]0.131949[/C][/ROW]
[ROW][C]60[/C][C]93.18[/C][C]93.1254[/C][C]93.6588[/C][C]-0.533303[/C][C]0.054553[/C][/ROW]
[ROW][C]61[/C][C]93.54[/C][C]93.4451[/C][C]93.6371[/C][C]-0.192001[/C][C]0.0949175[/C][/ROW]
[ROW][C]62[/C][C]93.55[/C][C]93.5226[/C][C]93.6096[/C][C]-0.0870009[/C][C]0.0274175[/C][/ROW]
[ROW][C]63[/C][C]93.8[/C][C]93.2264[/C][C]93.5638[/C][C]-0.337365[/C][C]0.573615[/C][/ROW]
[ROW][C]64[/C][C]93.39[/C][C]93.4812[/C][C]93.4896[/C][C]-0.00835503[/C][C]-0.0912283[/C][/ROW]
[ROW][C]65[/C][C]93.27[/C][C]93.4916[/C][C]93.4092[/C][C]0.0824262[/C][C]-0.221593[/C][/ROW]
[ROW][C]66[/C][C]93.58[/C][C]93.6488[/C][C]93.3558[/C][C]0.292999[/C][C]-0.0688325[/C][/ROW]
[ROW][C]67[/C][C]93.47[/C][C]93.5191[/C][C]93.3312[/C][C]0.187895[/C][C]-0.049145[/C][/ROW]
[ROW][C]68[/C][C]93.75[/C][C]93.7798[/C][C]93.3217[/C][C]0.458103[/C][C]-0.02977[/C][/ROW]
[ROW][C]69[/C][C]93.3[/C][C]93.6459[/C][C]93.3117[/C][C]0.334249[/C][C]-0.345916[/C][/ROW]
[ROW][C]70[/C][C]92.65[/C][C]93.0443[/C][C]93.3421[/C][C]-0.297782[/C][C]-0.394301[/C][/ROW]
[ROW][C]71[/C][C]92.96[/C][C]93.5131[/C][C]93.4129[/C][C]0.100135[/C][C]-0.553051[/C][/ROW]
[ROW][C]72[/C][C]92.84[/C][C]92.9467[/C][C]93.48[/C][C]-0.533303[/C][C]-0.106697[/C][/ROW]
[ROW][C]73[/C][C]93.29[/C][C]93.3738[/C][C]93.5658[/C][C]-0.192001[/C][C]-0.0838325[/C][/ROW]
[ROW][C]74[/C][C]93.57[/C][C]93.598[/C][C]93.685[/C][C]-0.0870009[/C][C]-0.0279991[/C][/ROW]
[ROW][C]75[/C][C]93.54[/C][C]93.5139[/C][C]93.8513[/C][C]-0.337365[/C][C]0.0261155[/C][/ROW]
[ROW][C]76[/C][C]94.38[/C][C]94.0262[/C][C]94.0346[/C][C]-0.00835503[/C][C]0.353772[/C][/ROW]
[ROW][C]77[/C][C]93.98[/C][C]94.3174[/C][C]94.235[/C][C]0.0824262[/C][C]-0.337426[/C][/ROW]
[ROW][C]78[/C][C]94.48[/C][C]94.7317[/C][C]94.4388[/C][C]0.292999[/C][C]-0.251749[/C][/ROW]
[ROW][C]79[/C][C]94.63[/C][C]94.8496[/C][C]94.6617[/C][C]0.187895[/C][C]-0.219562[/C][/ROW]
[ROW][C]80[/C][C]95.45[/C][C]95.4006[/C][C]94.9425[/C][C]0.458103[/C][C]0.0493967[/C][/ROW]
[ROW][C]81[/C][C]95.59[/C][C]95.5909[/C][C]95.2567[/C][C]0.334249[/C][C]-0.000915799[/C][/ROW]
[ROW][C]82[/C][C]94.76[/C][C]95.2972[/C][C]95.595[/C][C]-0.297782[/C][C]-0.537218[/C][/ROW]
[ROW][C]83[/C][C]95.66[/C][C]96.1001[/C][C]96[/C][C]0.100135[/C][C]-0.440135[/C][/ROW]
[ROW][C]84[/C][C]95.03[/C][C]95.9421[/C][C]96.4754[/C][C]-0.533303[/C][C]-0.912114[/C][/ROW]
[ROW][C]85[/C][C]96.45[/C][C]96.7626[/C][C]96.9546[/C][C]-0.192001[/C][C]-0.312582[/C][/ROW]
[ROW][C]86[/C][C]97.15[/C][C]97.368[/C][C]97.455[/C][C]-0.0870009[/C][C]-0.217999[/C][/ROW]
[ROW][C]87[/C][C]97.5[/C][C]97.646[/C][C]97.9833[/C][C]-0.337365[/C][C]-0.145968[/C][/ROW]
[ROW][C]88[/C][C]98.54[/C][C]98.5366[/C][C]98.545[/C][C]-0.00835503[/C][C]0.00335503[/C][/ROW]
[ROW][C]89[/C][C]99.54[/C][C]99.2183[/C][C]99.1358[/C][C]0.0824262[/C][C]0.32174[/C][/ROW]
[ROW][C]90[/C][C]100.33[/C][C]100.008[/C][C]99.7146[/C][C]0.292999[/C][C]0.322418[/C][/ROW]
[ROW][C]91[/C][C]100.28[/C][C]100.426[/C][C]100.238[/C][C]0.187895[/C][C]-0.145812[/C][/ROW]
[ROW][C]92[/C][C]101.81[/C][C]101.148[/C][C]100.69[/C][C]0.458103[/C][C]0.662313[/C][/ROW]
[ROW][C]93[/C][C]101.91[/C][C]101.428[/C][C]101.094[/C][C]0.334249[/C][C]0.481584[/C][/ROW]
[ROW][C]94[/C][C]101.92[/C][C]101.147[/C][C]101.445[/C][C]-0.297782[/C][C]0.772782[/C][/ROW]
[ROW][C]95[/C][C]102.68[/C][C]101.85[/C][C]101.75[/C][C]0.100135[/C][C]0.830282[/C][/ROW]
[ROW][C]96[/C][C]101.9[/C][C]101.471[/C][C]102.004[/C][C]-0.533303[/C][C]0.429136[/C][/ROW]
[ROW][C]97[/C][C]102.14[/C][C]102.029[/C][C]102.221[/C][C]-0.192001[/C][C]0.110751[/C][/ROW]
[ROW][C]98[/C][C]102.3[/C][C]102.29[/C][C]102.378[/C][C]-0.0870009[/C][C]0.00950087[/C][/ROW]
[ROW][C]99[/C][C]102.06[/C][C]102.119[/C][C]102.456[/C][C]-0.337365[/C][C]-0.0588845[/C][/ROW]
[ROW][C]100[/C][C]102.4[/C][C]102.487[/C][C]102.496[/C][C]-0.00835503[/C][C]-0.0874783[/C][/ROW]
[ROW][C]101[/C][C]102.99[/C][C]102.586[/C][C]102.503[/C][C]0.0824262[/C][C]0.40424[/C][/ROW]
[ROW][C]102[/C][C]102.99[/C][C]102.774[/C][C]102.481[/C][C]0.292999[/C][C]0.216168[/C][/ROW]
[ROW][C]103[/C][C]102.83[/C][C]NA[/C][C]NA[/C][C]0.187895[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]103.01[/C][C]NA[/C][C]NA[/C][C]0.458103[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]102.6[/C][C]NA[/C][C]NA[/C][C]0.334249[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]102.18[/C][C]NA[/C][C]NA[/C][C]-0.297782[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]102.6[/C][C]NA[/C][C]NA[/C][C]0.100135[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.44[/C][C]NA[/C][C]NA[/C][C]-0.533303[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287323&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287323&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
188.83NANA-0.192001NA
289.01NANA-0.0870009NA
388.21NANA-0.337365NA
487.78NANA-0.00835503NA
587.93NANA0.0824262NA
688.11NANA0.292999NA
788.288.333788.14580.187895-0.133728
888.1288.511988.05370.458103-0.391853
988.3888.315987.98170.3342490.0640842
1087.6587.670187.9679-0.297782-0.0201345
1188.2488.072687.97250.1001350.167365
1287.8387.419287.9525-0.5333030.410803
1387.7587.75387.945-0.192001-0.00299913
1487.8887.878887.9658-0.08700090.00116753
1587.6187.658987.9962-0.337365-0.0488845
1688.0588.015888.0242-0.008355030.0341884
1787.7788.154588.07210.0824262-0.38451
1887.7988.43888.1450.292999-0.647999
1988.3488.432588.24460.187895-0.0924783
2088.4888.843588.38540.458103-0.36352
2188.7588.891388.55710.334249-0.141332
2287.9588.473988.7717-0.297782-0.523885
2389.0989.150189.050.100135-0.0601345
2488.7388.857189.3904-0.533303-0.127114
2589.2489.545989.7379-0.192001-0.305916
2689.7789.978890.0658-0.0870009-0.208832
2789.8490.03190.3683-0.337365-0.190968
2890.9790.655890.6642-0.008355030.314188
2991.5391.029590.94710.08242620.50049
3092.291.488491.19540.2929990.711584
3192.2791.647591.45960.1878950.622522
3292.4292.194491.73620.4581030.225647
3392.0792.323491.98920.334249-0.253416
3491.7391.903192.2008-0.297782-0.173051
3592.192.489392.38920.100135-0.389301
3691.6892.021792.555-0.533303-0.341697
3792.6392.508492.7004-0.1920010.121584
3893.0292.762692.8496-0.08700090.257418
3992.6692.683593.0208-0.337365-0.0234679
4093.2393.21593.2233-0.008355030.0150217
4193.7993.507493.4250.08242620.282574
4293.9293.909793.61670.2929990.0103342
4394.0493.962993.7750.1878950.077105
4494.2394.334893.87670.458103-0.10477
4594.3794.282693.94830.3342490.0874175
4694.2993.685193.9829-0.2977820.604865
4794.3894.066493.96630.1001350.313615
489493.406393.9396-0.5333030.59372
4994.1193.731393.9233-0.1920010.378668
5093.9893.820193.9071-0.08700090.159918
5193.4293.55193.8883-0.337365-0.130968
5293.393.841293.8496-0.00835503-0.541228
5393.3293.884993.80250.0824262-0.564926
5493.7594.041393.74830.292999-0.291332
5593.8293.878393.69040.187895-0.0583116
5694.0694.106993.64880.458103-0.0468533
5794.0993.980993.64670.3342490.109084
5893.6493.368593.6662-0.2977820.271532
5993.993.768193.66790.1001350.131949
6093.1893.125493.6588-0.5333030.054553
6193.5493.445193.6371-0.1920010.0949175
6293.5593.522693.6096-0.08700090.0274175
6393.893.226493.5638-0.3373650.573615
6493.3993.481293.4896-0.00835503-0.0912283
6593.2793.491693.40920.0824262-0.221593
6693.5893.648893.35580.292999-0.0688325
6793.4793.519193.33120.187895-0.049145
6893.7593.779893.32170.458103-0.02977
6993.393.645993.31170.334249-0.345916
7092.6593.044393.3421-0.297782-0.394301
7192.9693.513193.41290.100135-0.553051
7292.8492.946793.48-0.533303-0.106697
7393.2993.373893.5658-0.192001-0.0838325
7493.5793.59893.685-0.0870009-0.0279991
7593.5493.513993.8513-0.3373650.0261155
7694.3894.026294.0346-0.008355030.353772
7793.9894.317494.2350.0824262-0.337426
7894.4894.731794.43880.292999-0.251749
7994.6394.849694.66170.187895-0.219562
8095.4595.400694.94250.4581030.0493967
8195.5995.590995.25670.334249-0.000915799
8294.7695.297295.595-0.297782-0.537218
8395.6696.1001960.100135-0.440135
8495.0395.942196.4754-0.533303-0.912114
8596.4596.762696.9546-0.192001-0.312582
8697.1597.36897.455-0.0870009-0.217999
8797.597.64697.9833-0.337365-0.145968
8898.5498.536698.545-0.008355030.00335503
8999.5499.218399.13580.08242620.32174
90100.33100.00899.71460.2929990.322418
91100.28100.426100.2380.187895-0.145812
92101.81101.148100.690.4581030.662313
93101.91101.428101.0940.3342490.481584
94101.92101.147101.445-0.2977820.772782
95102.68101.85101.750.1001350.830282
96101.9101.471102.004-0.5333030.429136
97102.14102.029102.221-0.1920010.110751
98102.3102.29102.378-0.08700090.00950087
99102.06102.119102.456-0.337365-0.0588845
100102.4102.487102.496-0.00835503-0.0874783
101102.99102.586102.5030.08242620.40424
102102.99102.774102.4810.2929990.216168
103102.83NANA0.187895NA
104103.01NANA0.458103NA
105102.6NANA0.334249NA
106102.18NANA-0.297782NA
107102.6NANA0.100135NA
108101.44NANA-0.533303NA



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