Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 31 Mar 2015 17:23:42 +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/2015/Mar/31/t14278190713trqfop8h9wh5d2.htm/, Retrieved Sun, 19 May 2024 13:37:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278488, Retrieved Sun, 19 May 2024 13:37:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-03-31 16:23:42] [3b0947f879d0db9a6034293524e1b6d0] [Current]
Feedback Forum

Post a new message
Dataseries X:
6
6.7
-0.6
5.8
16.4
1.5
5.1
14.7
4.3
1.5
9.1
4.3
5.7
13
14.5
9.7
-4.7
7.3
5.2
-2.5
11.5
4.9
-2.4
-0.3
4.4
7.9
-9.7
-4.1
16.4
-4.9
3.5
3.8
-0.2
3.1
0.7
-2.8
5.9
-5.3
-2.9
6.6
-8.1
1.3
6.9
-7.2
-1.9
4
-5.7
3.9
-7.6
-0.9
7.3
-3.7
-2.5
9.3
1.3
9.5
11.3
-1.7
8
-4.8
1.6
1.9
-0.9
5.5
1.7
-5.4
1.9
0.2
-13.3
-8.2
0.2
5.7
-1.2
-2.8
5.5
-17.3
1.4
-2.2
-8.6
-5
4.1
0.7
-4.2
-2.3
-3.4
-4.2
-14.2
1.6
-4.9
-1.8
-0.5
-2.3
-5.3
-0.2
5.1
-1.5




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=278488&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=278488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278488&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
16NANA-0.0479167NA
26.7NANA0.686607NA
3-0.6NANA-0.583631NA
45.8NANA-0.702083NA
516.4NANA-0.525298NA
61.5NANA0.147321NA
75.16.863396.220830.64256-1.76339
814.76.977086.470830.506257.72292
94.38.343157.36250.980655-4.04315
101.57.597928.15417-0.55625-6.09792
119.17.233047.4375-0.2044641.86696
124.36.456256.8-0.34375-2.15625
135.76.997927.04583-0.0479167-1.29792
14137.019946.333330.6866075.98006
1514.55.333045.91667-0.5836319.16696
169.75.656256.35833-0.7020834.04375
17-4.75.495546.02083-0.525298-10.1955
187.35.497325.350.1473211.80268
195.25.746735.104170.64256-0.546726
20-2.55.343754.83750.50625-7.84375
2111.54.597323.616670.9806556.90268
224.91.477082.03333-0.556253.42292
23-2.42.133042.3375-0.204464-4.53304
24-0.32.364582.70833-0.34375-2.66458
254.42.081252.12917-0.04791672.31875
267.93.007442.320830.6866074.89256
27-9.71.51222.09583-0.583631-11.2122
28-4.10.831251.53333-0.702083-4.93125
2916.41.06221.5875-0.52529815.3378
30-4.91.759821.61250.147321-6.65982
313.52.213391.570830.642561.28661
323.81.589581.083330.506252.21042
33-0.21.797320.8166670.980655-1.99732
343.10.9895831.54583-0.556252.11042
350.70.7663690.970833-0.204464-0.066369
36-2.8-0.1354170.208333-0.34375-2.66458
375.90.5604170.608333-0.04791675.33958
38-5.30.9782740.2916670.686607-6.27827
39-2.9-0.821131-0.2375-0.583631-2.07887
406.6-0.972917-0.270833-0.7020837.57292
41-8.1-1.0253-0.5-0.525298-7.0747
421.3-0.340179-0.48750.1473211.64018
436.9-0.128274-0.7708330.642567.02827
44-7.2-0.64375-1.150.50625-6.55625
45-1.90.438988-0.5416670.980655-2.33899
464-1.10208-0.545833-0.556255.10208
47-5.7-0.946131-0.741667-0.204464-4.75387
483.9-0.51875-0.175-0.343754.41875
49-7.6-0.122917-0.075-0.0479167-7.47708
50-0.91.074110.38750.686607-1.97411
517.31.04971.63333-0.5836316.2503
52-3.71.243751.94583-0.702083-4.94375
53-2.51.753872.27917-0.525298-4.25387
549.32.634822.48750.1473216.66518
551.33.150892.508330.64256-1.85089
569.53.514583.008330.506255.98542
5711.33.763992.783330.9806557.53601
58-1.72.268752.825-0.55625-3.96875
5983.178873.38333-0.2044644.82113
60-4.82.602082.94583-0.34375-7.40208
611.62.310422.35833-0.0479167-0.710417
621.92.682441.995830.686607-0.78244
63-0.9-0.0002976190.583333-0.583631-0.899702
645.5-1.41458-0.7125-0.7020836.91458
651.7-1.83363-1.30833-0.5252983.53363
66-5.4-1.04851-1.195830.147321-4.35149
671.9-0.23244-0.8750.642562.13244
680.2-0.68125-1.18750.506250.88125
69-13.3-0.136012-1.116670.980655-13.164
70-8.2-2.35625-1.8-0.55625-5.84375
710.2-2.96696-2.7625-0.2044643.16696
725.7-2.98542-2.64167-0.343758.68542
73-1.2-2.99375-2.94583-0.04791671.79375
74-2.8-2.91339-3.60.6866070.113393
755.5-3.6753-3.09167-0.5836319.1753
76-17.3-2.69792-1.99583-0.702083-14.6021
771.4-2.33363-1.80833-0.5252983.73363
78-2.2-2.17768-2.3250.147321-0.0223214
79-8.6-2.10744-2.750.64256-6.49256
80-5-2.39375-2.90.50625-2.60625
814.1-2.79851-3.779170.9806556.89851
820.7-4.36875-3.8125-0.556255.06875
83-4.2-3.49196-3.2875-0.204464-0.708036
84-2.3-3.87708-3.53333-0.343751.57708
85-3.4-3.22708-3.17917-0.0479167-0.172917
86-4.2-2.04256-2.729170.686607-2.15744
87-14.2-3.59196-3.00833-0.583631-10.608
881.6-4.13958-3.4375-0.7020835.73958
89-4.9-3.6128-3.0875-0.525298-1.2872
90-1.8-2.51935-2.666670.1473210.719345
91-0.5NANA0.64256NA
92-2.3NANA0.50625NA
93-5.3NANA0.980655NA
94-0.2NANA-0.55625NA
955.1NANA-0.204464NA
96-1.5NANA-0.34375NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 6 & NA & NA & -0.0479167 & NA \tabularnewline
2 & 6.7 & NA & NA & 0.686607 & NA \tabularnewline
3 & -0.6 & NA & NA & -0.583631 & NA \tabularnewline
4 & 5.8 & NA & NA & -0.702083 & NA \tabularnewline
5 & 16.4 & NA & NA & -0.525298 & NA \tabularnewline
6 & 1.5 & NA & NA & 0.147321 & NA \tabularnewline
7 & 5.1 & 6.86339 & 6.22083 & 0.64256 & -1.76339 \tabularnewline
8 & 14.7 & 6.97708 & 6.47083 & 0.50625 & 7.72292 \tabularnewline
9 & 4.3 & 8.34315 & 7.3625 & 0.980655 & -4.04315 \tabularnewline
10 & 1.5 & 7.59792 & 8.15417 & -0.55625 & -6.09792 \tabularnewline
11 & 9.1 & 7.23304 & 7.4375 & -0.204464 & 1.86696 \tabularnewline
12 & 4.3 & 6.45625 & 6.8 & -0.34375 & -2.15625 \tabularnewline
13 & 5.7 & 6.99792 & 7.04583 & -0.0479167 & -1.29792 \tabularnewline
14 & 13 & 7.01994 & 6.33333 & 0.686607 & 5.98006 \tabularnewline
15 & 14.5 & 5.33304 & 5.91667 & -0.583631 & 9.16696 \tabularnewline
16 & 9.7 & 5.65625 & 6.35833 & -0.702083 & 4.04375 \tabularnewline
17 & -4.7 & 5.49554 & 6.02083 & -0.525298 & -10.1955 \tabularnewline
18 & 7.3 & 5.49732 & 5.35 & 0.147321 & 1.80268 \tabularnewline
19 & 5.2 & 5.74673 & 5.10417 & 0.64256 & -0.546726 \tabularnewline
20 & -2.5 & 5.34375 & 4.8375 & 0.50625 & -7.84375 \tabularnewline
21 & 11.5 & 4.59732 & 3.61667 & 0.980655 & 6.90268 \tabularnewline
22 & 4.9 & 1.47708 & 2.03333 & -0.55625 & 3.42292 \tabularnewline
23 & -2.4 & 2.13304 & 2.3375 & -0.204464 & -4.53304 \tabularnewline
24 & -0.3 & 2.36458 & 2.70833 & -0.34375 & -2.66458 \tabularnewline
25 & 4.4 & 2.08125 & 2.12917 & -0.0479167 & 2.31875 \tabularnewline
26 & 7.9 & 3.00744 & 2.32083 & 0.686607 & 4.89256 \tabularnewline
27 & -9.7 & 1.5122 & 2.09583 & -0.583631 & -11.2122 \tabularnewline
28 & -4.1 & 0.83125 & 1.53333 & -0.702083 & -4.93125 \tabularnewline
29 & 16.4 & 1.0622 & 1.5875 & -0.525298 & 15.3378 \tabularnewline
30 & -4.9 & 1.75982 & 1.6125 & 0.147321 & -6.65982 \tabularnewline
31 & 3.5 & 2.21339 & 1.57083 & 0.64256 & 1.28661 \tabularnewline
32 & 3.8 & 1.58958 & 1.08333 & 0.50625 & 2.21042 \tabularnewline
33 & -0.2 & 1.79732 & 0.816667 & 0.980655 & -1.99732 \tabularnewline
34 & 3.1 & 0.989583 & 1.54583 & -0.55625 & 2.11042 \tabularnewline
35 & 0.7 & 0.766369 & 0.970833 & -0.204464 & -0.066369 \tabularnewline
36 & -2.8 & -0.135417 & 0.208333 & -0.34375 & -2.66458 \tabularnewline
37 & 5.9 & 0.560417 & 0.608333 & -0.0479167 & 5.33958 \tabularnewline
38 & -5.3 & 0.978274 & 0.291667 & 0.686607 & -6.27827 \tabularnewline
39 & -2.9 & -0.821131 & -0.2375 & -0.583631 & -2.07887 \tabularnewline
40 & 6.6 & -0.972917 & -0.270833 & -0.702083 & 7.57292 \tabularnewline
41 & -8.1 & -1.0253 & -0.5 & -0.525298 & -7.0747 \tabularnewline
42 & 1.3 & -0.340179 & -0.4875 & 0.147321 & 1.64018 \tabularnewline
43 & 6.9 & -0.128274 & -0.770833 & 0.64256 & 7.02827 \tabularnewline
44 & -7.2 & -0.64375 & -1.15 & 0.50625 & -6.55625 \tabularnewline
45 & -1.9 & 0.438988 & -0.541667 & 0.980655 & -2.33899 \tabularnewline
46 & 4 & -1.10208 & -0.545833 & -0.55625 & 5.10208 \tabularnewline
47 & -5.7 & -0.946131 & -0.741667 & -0.204464 & -4.75387 \tabularnewline
48 & 3.9 & -0.51875 & -0.175 & -0.34375 & 4.41875 \tabularnewline
49 & -7.6 & -0.122917 & -0.075 & -0.0479167 & -7.47708 \tabularnewline
50 & -0.9 & 1.07411 & 0.3875 & 0.686607 & -1.97411 \tabularnewline
51 & 7.3 & 1.0497 & 1.63333 & -0.583631 & 6.2503 \tabularnewline
52 & -3.7 & 1.24375 & 1.94583 & -0.702083 & -4.94375 \tabularnewline
53 & -2.5 & 1.75387 & 2.27917 & -0.525298 & -4.25387 \tabularnewline
54 & 9.3 & 2.63482 & 2.4875 & 0.147321 & 6.66518 \tabularnewline
55 & 1.3 & 3.15089 & 2.50833 & 0.64256 & -1.85089 \tabularnewline
56 & 9.5 & 3.51458 & 3.00833 & 0.50625 & 5.98542 \tabularnewline
57 & 11.3 & 3.76399 & 2.78333 & 0.980655 & 7.53601 \tabularnewline
58 & -1.7 & 2.26875 & 2.825 & -0.55625 & -3.96875 \tabularnewline
59 & 8 & 3.17887 & 3.38333 & -0.204464 & 4.82113 \tabularnewline
60 & -4.8 & 2.60208 & 2.94583 & -0.34375 & -7.40208 \tabularnewline
61 & 1.6 & 2.31042 & 2.35833 & -0.0479167 & -0.710417 \tabularnewline
62 & 1.9 & 2.68244 & 1.99583 & 0.686607 & -0.78244 \tabularnewline
63 & -0.9 & -0.000297619 & 0.583333 & -0.583631 & -0.899702 \tabularnewline
64 & 5.5 & -1.41458 & -0.7125 & -0.702083 & 6.91458 \tabularnewline
65 & 1.7 & -1.83363 & -1.30833 & -0.525298 & 3.53363 \tabularnewline
66 & -5.4 & -1.04851 & -1.19583 & 0.147321 & -4.35149 \tabularnewline
67 & 1.9 & -0.23244 & -0.875 & 0.64256 & 2.13244 \tabularnewline
68 & 0.2 & -0.68125 & -1.1875 & 0.50625 & 0.88125 \tabularnewline
69 & -13.3 & -0.136012 & -1.11667 & 0.980655 & -13.164 \tabularnewline
70 & -8.2 & -2.35625 & -1.8 & -0.55625 & -5.84375 \tabularnewline
71 & 0.2 & -2.96696 & -2.7625 & -0.204464 & 3.16696 \tabularnewline
72 & 5.7 & -2.98542 & -2.64167 & -0.34375 & 8.68542 \tabularnewline
73 & -1.2 & -2.99375 & -2.94583 & -0.0479167 & 1.79375 \tabularnewline
74 & -2.8 & -2.91339 & -3.6 & 0.686607 & 0.113393 \tabularnewline
75 & 5.5 & -3.6753 & -3.09167 & -0.583631 & 9.1753 \tabularnewline
76 & -17.3 & -2.69792 & -1.99583 & -0.702083 & -14.6021 \tabularnewline
77 & 1.4 & -2.33363 & -1.80833 & -0.525298 & 3.73363 \tabularnewline
78 & -2.2 & -2.17768 & -2.325 & 0.147321 & -0.0223214 \tabularnewline
79 & -8.6 & -2.10744 & -2.75 & 0.64256 & -6.49256 \tabularnewline
80 & -5 & -2.39375 & -2.9 & 0.50625 & -2.60625 \tabularnewline
81 & 4.1 & -2.79851 & -3.77917 & 0.980655 & 6.89851 \tabularnewline
82 & 0.7 & -4.36875 & -3.8125 & -0.55625 & 5.06875 \tabularnewline
83 & -4.2 & -3.49196 & -3.2875 & -0.204464 & -0.708036 \tabularnewline
84 & -2.3 & -3.87708 & -3.53333 & -0.34375 & 1.57708 \tabularnewline
85 & -3.4 & -3.22708 & -3.17917 & -0.0479167 & -0.172917 \tabularnewline
86 & -4.2 & -2.04256 & -2.72917 & 0.686607 & -2.15744 \tabularnewline
87 & -14.2 & -3.59196 & -3.00833 & -0.583631 & -10.608 \tabularnewline
88 & 1.6 & -4.13958 & -3.4375 & -0.702083 & 5.73958 \tabularnewline
89 & -4.9 & -3.6128 & -3.0875 & -0.525298 & -1.2872 \tabularnewline
90 & -1.8 & -2.51935 & -2.66667 & 0.147321 & 0.719345 \tabularnewline
91 & -0.5 & NA & NA & 0.64256 & NA \tabularnewline
92 & -2.3 & NA & NA & 0.50625 & NA \tabularnewline
93 & -5.3 & NA & NA & 0.980655 & NA \tabularnewline
94 & -0.2 & NA & NA & -0.55625 & NA \tabularnewline
95 & 5.1 & NA & NA & -0.204464 & NA \tabularnewline
96 & -1.5 & NA & NA & -0.34375 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278488&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]6[/C][C]NA[/C][C]NA[/C][C]-0.0479167[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6.7[/C][C]NA[/C][C]NA[/C][C]0.686607[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]-0.6[/C][C]NA[/C][C]NA[/C][C]-0.583631[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5.8[/C][C]NA[/C][C]NA[/C][C]-0.702083[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]16.4[/C][C]NA[/C][C]NA[/C][C]-0.525298[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.5[/C][C]NA[/C][C]NA[/C][C]0.147321[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5.1[/C][C]6.86339[/C][C]6.22083[/C][C]0.64256[/C][C]-1.76339[/C][/ROW]
[ROW][C]8[/C][C]14.7[/C][C]6.97708[/C][C]6.47083[/C][C]0.50625[/C][C]7.72292[/C][/ROW]
[ROW][C]9[/C][C]4.3[/C][C]8.34315[/C][C]7.3625[/C][C]0.980655[/C][C]-4.04315[/C][/ROW]
[ROW][C]10[/C][C]1.5[/C][C]7.59792[/C][C]8.15417[/C][C]-0.55625[/C][C]-6.09792[/C][/ROW]
[ROW][C]11[/C][C]9.1[/C][C]7.23304[/C][C]7.4375[/C][C]-0.204464[/C][C]1.86696[/C][/ROW]
[ROW][C]12[/C][C]4.3[/C][C]6.45625[/C][C]6.8[/C][C]-0.34375[/C][C]-2.15625[/C][/ROW]
[ROW][C]13[/C][C]5.7[/C][C]6.99792[/C][C]7.04583[/C][C]-0.0479167[/C][C]-1.29792[/C][/ROW]
[ROW][C]14[/C][C]13[/C][C]7.01994[/C][C]6.33333[/C][C]0.686607[/C][C]5.98006[/C][/ROW]
[ROW][C]15[/C][C]14.5[/C][C]5.33304[/C][C]5.91667[/C][C]-0.583631[/C][C]9.16696[/C][/ROW]
[ROW][C]16[/C][C]9.7[/C][C]5.65625[/C][C]6.35833[/C][C]-0.702083[/C][C]4.04375[/C][/ROW]
[ROW][C]17[/C][C]-4.7[/C][C]5.49554[/C][C]6.02083[/C][C]-0.525298[/C][C]-10.1955[/C][/ROW]
[ROW][C]18[/C][C]7.3[/C][C]5.49732[/C][C]5.35[/C][C]0.147321[/C][C]1.80268[/C][/ROW]
[ROW][C]19[/C][C]5.2[/C][C]5.74673[/C][C]5.10417[/C][C]0.64256[/C][C]-0.546726[/C][/ROW]
[ROW][C]20[/C][C]-2.5[/C][C]5.34375[/C][C]4.8375[/C][C]0.50625[/C][C]-7.84375[/C][/ROW]
[ROW][C]21[/C][C]11.5[/C][C]4.59732[/C][C]3.61667[/C][C]0.980655[/C][C]6.90268[/C][/ROW]
[ROW][C]22[/C][C]4.9[/C][C]1.47708[/C][C]2.03333[/C][C]-0.55625[/C][C]3.42292[/C][/ROW]
[ROW][C]23[/C][C]-2.4[/C][C]2.13304[/C][C]2.3375[/C][C]-0.204464[/C][C]-4.53304[/C][/ROW]
[ROW][C]24[/C][C]-0.3[/C][C]2.36458[/C][C]2.70833[/C][C]-0.34375[/C][C]-2.66458[/C][/ROW]
[ROW][C]25[/C][C]4.4[/C][C]2.08125[/C][C]2.12917[/C][C]-0.0479167[/C][C]2.31875[/C][/ROW]
[ROW][C]26[/C][C]7.9[/C][C]3.00744[/C][C]2.32083[/C][C]0.686607[/C][C]4.89256[/C][/ROW]
[ROW][C]27[/C][C]-9.7[/C][C]1.5122[/C][C]2.09583[/C][C]-0.583631[/C][C]-11.2122[/C][/ROW]
[ROW][C]28[/C][C]-4.1[/C][C]0.83125[/C][C]1.53333[/C][C]-0.702083[/C][C]-4.93125[/C][/ROW]
[ROW][C]29[/C][C]16.4[/C][C]1.0622[/C][C]1.5875[/C][C]-0.525298[/C][C]15.3378[/C][/ROW]
[ROW][C]30[/C][C]-4.9[/C][C]1.75982[/C][C]1.6125[/C][C]0.147321[/C][C]-6.65982[/C][/ROW]
[ROW][C]31[/C][C]3.5[/C][C]2.21339[/C][C]1.57083[/C][C]0.64256[/C][C]1.28661[/C][/ROW]
[ROW][C]32[/C][C]3.8[/C][C]1.58958[/C][C]1.08333[/C][C]0.50625[/C][C]2.21042[/C][/ROW]
[ROW][C]33[/C][C]-0.2[/C][C]1.79732[/C][C]0.816667[/C][C]0.980655[/C][C]-1.99732[/C][/ROW]
[ROW][C]34[/C][C]3.1[/C][C]0.989583[/C][C]1.54583[/C][C]-0.55625[/C][C]2.11042[/C][/ROW]
[ROW][C]35[/C][C]0.7[/C][C]0.766369[/C][C]0.970833[/C][C]-0.204464[/C][C]-0.066369[/C][/ROW]
[ROW][C]36[/C][C]-2.8[/C][C]-0.135417[/C][C]0.208333[/C][C]-0.34375[/C][C]-2.66458[/C][/ROW]
[ROW][C]37[/C][C]5.9[/C][C]0.560417[/C][C]0.608333[/C][C]-0.0479167[/C][C]5.33958[/C][/ROW]
[ROW][C]38[/C][C]-5.3[/C][C]0.978274[/C][C]0.291667[/C][C]0.686607[/C][C]-6.27827[/C][/ROW]
[ROW][C]39[/C][C]-2.9[/C][C]-0.821131[/C][C]-0.2375[/C][C]-0.583631[/C][C]-2.07887[/C][/ROW]
[ROW][C]40[/C][C]6.6[/C][C]-0.972917[/C][C]-0.270833[/C][C]-0.702083[/C][C]7.57292[/C][/ROW]
[ROW][C]41[/C][C]-8.1[/C][C]-1.0253[/C][C]-0.5[/C][C]-0.525298[/C][C]-7.0747[/C][/ROW]
[ROW][C]42[/C][C]1.3[/C][C]-0.340179[/C][C]-0.4875[/C][C]0.147321[/C][C]1.64018[/C][/ROW]
[ROW][C]43[/C][C]6.9[/C][C]-0.128274[/C][C]-0.770833[/C][C]0.64256[/C][C]7.02827[/C][/ROW]
[ROW][C]44[/C][C]-7.2[/C][C]-0.64375[/C][C]-1.15[/C][C]0.50625[/C][C]-6.55625[/C][/ROW]
[ROW][C]45[/C][C]-1.9[/C][C]0.438988[/C][C]-0.541667[/C][C]0.980655[/C][C]-2.33899[/C][/ROW]
[ROW][C]46[/C][C]4[/C][C]-1.10208[/C][C]-0.545833[/C][C]-0.55625[/C][C]5.10208[/C][/ROW]
[ROW][C]47[/C][C]-5.7[/C][C]-0.946131[/C][C]-0.741667[/C][C]-0.204464[/C][C]-4.75387[/C][/ROW]
[ROW][C]48[/C][C]3.9[/C][C]-0.51875[/C][C]-0.175[/C][C]-0.34375[/C][C]4.41875[/C][/ROW]
[ROW][C]49[/C][C]-7.6[/C][C]-0.122917[/C][C]-0.075[/C][C]-0.0479167[/C][C]-7.47708[/C][/ROW]
[ROW][C]50[/C][C]-0.9[/C][C]1.07411[/C][C]0.3875[/C][C]0.686607[/C][C]-1.97411[/C][/ROW]
[ROW][C]51[/C][C]7.3[/C][C]1.0497[/C][C]1.63333[/C][C]-0.583631[/C][C]6.2503[/C][/ROW]
[ROW][C]52[/C][C]-3.7[/C][C]1.24375[/C][C]1.94583[/C][C]-0.702083[/C][C]-4.94375[/C][/ROW]
[ROW][C]53[/C][C]-2.5[/C][C]1.75387[/C][C]2.27917[/C][C]-0.525298[/C][C]-4.25387[/C][/ROW]
[ROW][C]54[/C][C]9.3[/C][C]2.63482[/C][C]2.4875[/C][C]0.147321[/C][C]6.66518[/C][/ROW]
[ROW][C]55[/C][C]1.3[/C][C]3.15089[/C][C]2.50833[/C][C]0.64256[/C][C]-1.85089[/C][/ROW]
[ROW][C]56[/C][C]9.5[/C][C]3.51458[/C][C]3.00833[/C][C]0.50625[/C][C]5.98542[/C][/ROW]
[ROW][C]57[/C][C]11.3[/C][C]3.76399[/C][C]2.78333[/C][C]0.980655[/C][C]7.53601[/C][/ROW]
[ROW][C]58[/C][C]-1.7[/C][C]2.26875[/C][C]2.825[/C][C]-0.55625[/C][C]-3.96875[/C][/ROW]
[ROW][C]59[/C][C]8[/C][C]3.17887[/C][C]3.38333[/C][C]-0.204464[/C][C]4.82113[/C][/ROW]
[ROW][C]60[/C][C]-4.8[/C][C]2.60208[/C][C]2.94583[/C][C]-0.34375[/C][C]-7.40208[/C][/ROW]
[ROW][C]61[/C][C]1.6[/C][C]2.31042[/C][C]2.35833[/C][C]-0.0479167[/C][C]-0.710417[/C][/ROW]
[ROW][C]62[/C][C]1.9[/C][C]2.68244[/C][C]1.99583[/C][C]0.686607[/C][C]-0.78244[/C][/ROW]
[ROW][C]63[/C][C]-0.9[/C][C]-0.000297619[/C][C]0.583333[/C][C]-0.583631[/C][C]-0.899702[/C][/ROW]
[ROW][C]64[/C][C]5.5[/C][C]-1.41458[/C][C]-0.7125[/C][C]-0.702083[/C][C]6.91458[/C][/ROW]
[ROW][C]65[/C][C]1.7[/C][C]-1.83363[/C][C]-1.30833[/C][C]-0.525298[/C][C]3.53363[/C][/ROW]
[ROW][C]66[/C][C]-5.4[/C][C]-1.04851[/C][C]-1.19583[/C][C]0.147321[/C][C]-4.35149[/C][/ROW]
[ROW][C]67[/C][C]1.9[/C][C]-0.23244[/C][C]-0.875[/C][C]0.64256[/C][C]2.13244[/C][/ROW]
[ROW][C]68[/C][C]0.2[/C][C]-0.68125[/C][C]-1.1875[/C][C]0.50625[/C][C]0.88125[/C][/ROW]
[ROW][C]69[/C][C]-13.3[/C][C]-0.136012[/C][C]-1.11667[/C][C]0.980655[/C][C]-13.164[/C][/ROW]
[ROW][C]70[/C][C]-8.2[/C][C]-2.35625[/C][C]-1.8[/C][C]-0.55625[/C][C]-5.84375[/C][/ROW]
[ROW][C]71[/C][C]0.2[/C][C]-2.96696[/C][C]-2.7625[/C][C]-0.204464[/C][C]3.16696[/C][/ROW]
[ROW][C]72[/C][C]5.7[/C][C]-2.98542[/C][C]-2.64167[/C][C]-0.34375[/C][C]8.68542[/C][/ROW]
[ROW][C]73[/C][C]-1.2[/C][C]-2.99375[/C][C]-2.94583[/C][C]-0.0479167[/C][C]1.79375[/C][/ROW]
[ROW][C]74[/C][C]-2.8[/C][C]-2.91339[/C][C]-3.6[/C][C]0.686607[/C][C]0.113393[/C][/ROW]
[ROW][C]75[/C][C]5.5[/C][C]-3.6753[/C][C]-3.09167[/C][C]-0.583631[/C][C]9.1753[/C][/ROW]
[ROW][C]76[/C][C]-17.3[/C][C]-2.69792[/C][C]-1.99583[/C][C]-0.702083[/C][C]-14.6021[/C][/ROW]
[ROW][C]77[/C][C]1.4[/C][C]-2.33363[/C][C]-1.80833[/C][C]-0.525298[/C][C]3.73363[/C][/ROW]
[ROW][C]78[/C][C]-2.2[/C][C]-2.17768[/C][C]-2.325[/C][C]0.147321[/C][C]-0.0223214[/C][/ROW]
[ROW][C]79[/C][C]-8.6[/C][C]-2.10744[/C][C]-2.75[/C][C]0.64256[/C][C]-6.49256[/C][/ROW]
[ROW][C]80[/C][C]-5[/C][C]-2.39375[/C][C]-2.9[/C][C]0.50625[/C][C]-2.60625[/C][/ROW]
[ROW][C]81[/C][C]4.1[/C][C]-2.79851[/C][C]-3.77917[/C][C]0.980655[/C][C]6.89851[/C][/ROW]
[ROW][C]82[/C][C]0.7[/C][C]-4.36875[/C][C]-3.8125[/C][C]-0.55625[/C][C]5.06875[/C][/ROW]
[ROW][C]83[/C][C]-4.2[/C][C]-3.49196[/C][C]-3.2875[/C][C]-0.204464[/C][C]-0.708036[/C][/ROW]
[ROW][C]84[/C][C]-2.3[/C][C]-3.87708[/C][C]-3.53333[/C][C]-0.34375[/C][C]1.57708[/C][/ROW]
[ROW][C]85[/C][C]-3.4[/C][C]-3.22708[/C][C]-3.17917[/C][C]-0.0479167[/C][C]-0.172917[/C][/ROW]
[ROW][C]86[/C][C]-4.2[/C][C]-2.04256[/C][C]-2.72917[/C][C]0.686607[/C][C]-2.15744[/C][/ROW]
[ROW][C]87[/C][C]-14.2[/C][C]-3.59196[/C][C]-3.00833[/C][C]-0.583631[/C][C]-10.608[/C][/ROW]
[ROW][C]88[/C][C]1.6[/C][C]-4.13958[/C][C]-3.4375[/C][C]-0.702083[/C][C]5.73958[/C][/ROW]
[ROW][C]89[/C][C]-4.9[/C][C]-3.6128[/C][C]-3.0875[/C][C]-0.525298[/C][C]-1.2872[/C][/ROW]
[ROW][C]90[/C][C]-1.8[/C][C]-2.51935[/C][C]-2.66667[/C][C]0.147321[/C][C]0.719345[/C][/ROW]
[ROW][C]91[/C][C]-0.5[/C][C]NA[/C][C]NA[/C][C]0.64256[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]-2.3[/C][C]NA[/C][C]NA[/C][C]0.50625[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]-5.3[/C][C]NA[/C][C]NA[/C][C]0.980655[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]-0.2[/C][C]NA[/C][C]NA[/C][C]-0.55625[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]5.1[/C][C]NA[/C][C]NA[/C][C]-0.204464[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]-1.5[/C][C]NA[/C][C]NA[/C][C]-0.34375[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278488&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
16NANA-0.0479167NA
26.7NANA0.686607NA
3-0.6NANA-0.583631NA
45.8NANA-0.702083NA
516.4NANA-0.525298NA
61.5NANA0.147321NA
75.16.863396.220830.64256-1.76339
814.76.977086.470830.506257.72292
94.38.343157.36250.980655-4.04315
101.57.597928.15417-0.55625-6.09792
119.17.233047.4375-0.2044641.86696
124.36.456256.8-0.34375-2.15625
135.76.997927.04583-0.0479167-1.29792
14137.019946.333330.6866075.98006
1514.55.333045.91667-0.5836319.16696
169.75.656256.35833-0.7020834.04375
17-4.75.495546.02083-0.525298-10.1955
187.35.497325.350.1473211.80268
195.25.746735.104170.64256-0.546726
20-2.55.343754.83750.50625-7.84375
2111.54.597323.616670.9806556.90268
224.91.477082.03333-0.556253.42292
23-2.42.133042.3375-0.204464-4.53304
24-0.32.364582.70833-0.34375-2.66458
254.42.081252.12917-0.04791672.31875
267.93.007442.320830.6866074.89256
27-9.71.51222.09583-0.583631-11.2122
28-4.10.831251.53333-0.702083-4.93125
2916.41.06221.5875-0.52529815.3378
30-4.91.759821.61250.147321-6.65982
313.52.213391.570830.642561.28661
323.81.589581.083330.506252.21042
33-0.21.797320.8166670.980655-1.99732
343.10.9895831.54583-0.556252.11042
350.70.7663690.970833-0.204464-0.066369
36-2.8-0.1354170.208333-0.34375-2.66458
375.90.5604170.608333-0.04791675.33958
38-5.30.9782740.2916670.686607-6.27827
39-2.9-0.821131-0.2375-0.583631-2.07887
406.6-0.972917-0.270833-0.7020837.57292
41-8.1-1.0253-0.5-0.525298-7.0747
421.3-0.340179-0.48750.1473211.64018
436.9-0.128274-0.7708330.642567.02827
44-7.2-0.64375-1.150.50625-6.55625
45-1.90.438988-0.5416670.980655-2.33899
464-1.10208-0.545833-0.556255.10208
47-5.7-0.946131-0.741667-0.204464-4.75387
483.9-0.51875-0.175-0.343754.41875
49-7.6-0.122917-0.075-0.0479167-7.47708
50-0.91.074110.38750.686607-1.97411
517.31.04971.63333-0.5836316.2503
52-3.71.243751.94583-0.702083-4.94375
53-2.51.753872.27917-0.525298-4.25387
549.32.634822.48750.1473216.66518
551.33.150892.508330.64256-1.85089
569.53.514583.008330.506255.98542
5711.33.763992.783330.9806557.53601
58-1.72.268752.825-0.55625-3.96875
5983.178873.38333-0.2044644.82113
60-4.82.602082.94583-0.34375-7.40208
611.62.310422.35833-0.0479167-0.710417
621.92.682441.995830.686607-0.78244
63-0.9-0.0002976190.583333-0.583631-0.899702
645.5-1.41458-0.7125-0.7020836.91458
651.7-1.83363-1.30833-0.5252983.53363
66-5.4-1.04851-1.195830.147321-4.35149
671.9-0.23244-0.8750.642562.13244
680.2-0.68125-1.18750.506250.88125
69-13.3-0.136012-1.116670.980655-13.164
70-8.2-2.35625-1.8-0.55625-5.84375
710.2-2.96696-2.7625-0.2044643.16696
725.7-2.98542-2.64167-0.343758.68542
73-1.2-2.99375-2.94583-0.04791671.79375
74-2.8-2.91339-3.60.6866070.113393
755.5-3.6753-3.09167-0.5836319.1753
76-17.3-2.69792-1.99583-0.702083-14.6021
771.4-2.33363-1.80833-0.5252983.73363
78-2.2-2.17768-2.3250.147321-0.0223214
79-8.6-2.10744-2.750.64256-6.49256
80-5-2.39375-2.90.50625-2.60625
814.1-2.79851-3.779170.9806556.89851
820.7-4.36875-3.8125-0.556255.06875
83-4.2-3.49196-3.2875-0.204464-0.708036
84-2.3-3.87708-3.53333-0.343751.57708
85-3.4-3.22708-3.17917-0.0479167-0.172917
86-4.2-2.04256-2.729170.686607-2.15744
87-14.2-3.59196-3.00833-0.583631-10.608
881.6-4.13958-3.4375-0.7020835.73958
89-4.9-3.6128-3.0875-0.525298-1.2872
90-1.8-2.51935-2.666670.1473210.719345
91-0.5NANA0.64256NA
92-2.3NANA0.50625NA
93-5.3NANA0.980655NA
94-0.2NANA-0.55625NA
955.1NANA-0.204464NA
96-1.5NANA-0.34375NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')