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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 09 May 2012 12:59:04 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/09/t13365827687nfd2prp0jni2j9.htm/, Retrieved Fri, 03 May 2024 18:11:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166358, Retrieved Fri, 03 May 2024 18:11:43 +0000

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No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

166

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [Opgave 9 oef 2] [2012-05-09 16:59:04] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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=166358&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=166358&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166358&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	10.92	NA	NA	-0.0536545138888896	NA
2	10.98	NA	NA	0.0244704861111109	NA
3	11.15	NA	NA	-0.0451128472222222	NA
4	11.19	NA	NA	-0.0517795138888891	NA
5	11.33	NA	NA	-0.0149045138888893	NA
6	11.38	NA	NA	0.0625954861111104	NA
7	11.4	11.4143663194444	11.41875	-0.00438368055555575	-0.0143663194444414
8	11.45	11.4868663194444	11.4925	-0.0056336805555555	-0.0368663194444423
9	11.56	11.5637413194444	11.5595833333333	0.00415798611111292	-0.003741319444444
10	11.61	11.5955121527778	11.6195833333333	-0.0240711805555556	0.0144878472222221
11	11.82	11.7290538194444	11.67	0.0590538194444447	0.0909461805555551
12	11.77	11.7650954861111	11.7158333333333	0.0492621527777781	0.00490451388889035
13	11.85	11.7046788194444	11.7583333333333	-0.0536545138888896	0.145321180555559
14	11.82	11.8215538194444	11.7970833333333	0.0244704861111109	-0.00155381944444244
15	11.92	11.7828038194444	11.8279166666667	-0.0451128472222222	0.137196180555557
16	11.86	11.7998871527778	11.8516666666667	-0.0517795138888891	0.0601128472222214
17	11.87	11.8538454861111	11.86875	-0.0149045138888893	0.0161545138888908
18	11.94	11.9450954861111	11.8825	0.0625954861111104	-0.00509548611111121
19	11.86	11.8918663194444	11.89625	-0.00438368055555575	-0.0318663194444451
20	11.92	11.9076996527778	11.9133333333333	-0.0056336805555555	0.0123003472222241
21	11.83	11.9270746527778	11.9229166666667	0.00415798611111292	-0.0970746527777742
22	11.91	11.9021788194444	11.92625	-0.0240711805555556	0.00782118055555792
23	11.93	12.0011371527778	11.9420833333333	0.0590538194444447	-0.0711371527777782
24	11.99	12.0121788194444	11.9629166666667	0.0492621527777781	-0.0221788194444468
25	11.96	11.9392621527778	11.9929166666667	-0.0536545138888896	0.0207378472222235
26	12.12	12.0523871527778	12.0279166666667	0.0244704861111109	0.0676128472222217
27	11.85	12.0223871527778	12.0675	-0.0451128472222222	-0.172387152777777
28	12.01	12.0573871527778	12.1091666666667	-0.0517795138888891	-0.0473871527777785
29	12.1	12.1325954861111	12.1475	-0.0149045138888893	-0.0325954861111093
30	12.21	12.2517621527778	12.1891666666667	0.0625954861111104	-0.0417621527777747
31	12.31	12.2193663194444	12.22375	-0.00438368055555575	0.0906336805555572
32	12.31	12.2472829861111	12.2529166666667	-0.0056336805555555	0.0627170138888911
33	12.39	12.2979079861111	12.29375	0.00415798611111292	0.092092013888891
34	12.35	12.3134288194444	12.3375	-0.0240711805555556	0.0365711805555566
35	12.41	12.4328038194444	12.37375	0.0590538194444447	-0.0228038194444427
36	12.51	12.4555121527778	12.40625	0.0492621527777781	0.054487847222223
37	12.27	12.3759288194444	12.4295833333333	-0.0536545138888896	-0.105928819444442
38	12.51	12.4707204861111	12.44625	0.0244704861111109	0.0392795138888893
39	12.44	12.4182204861111	12.4633333333333	-0.0451128472222222	0.021779513888891
40	12.47	12.4265538194444	12.4783333333333	-0.0517795138888891	0.0434461805555593
41	12.51	12.4809288194444	12.4958333333333	-0.0149045138888893	0.0290711805555564
42	12.58	12.5746788194444	12.5120833333333	0.0625954861111104	0.00532118055555664
43	12.5	12.5243663194444	12.52875	-0.00438368055555575	-0.0243663194444448
44	12.52	12.5381163194444	12.54375	-0.0056336805555555	-0.0181163194444434
45	12.59	12.5612413194444	12.5570833333333	0.00415798611111292	0.0287586805555566
46	12.51	12.5488454861111	12.5729166666667	-0.0240711805555556	-0.0388454861111107
47	12.67	12.6469704861111	12.5879166666667	0.0590538194444447	0.0230295138888899
48	12.64	12.6571788194444	12.6079166666667	0.0492621527777781	-0.0171788194444424
49	12.54	12.5800954861111	12.63375	-0.0536545138888896	-0.0400954861111114
50	12.6	12.6853038194444	12.6608333333333	0.0244704861111109	-0.0853038194444444
51	12.67	12.6365538194444	12.6816666666667	-0.0451128472222222	0.0334461805555559
52	12.62	12.6561371527778	12.7079166666667	-0.0517795138888891	-0.0361371527777781
53	12.72	12.7125954861111	12.7275	-0.0149045138888893	0.00740451388889163
54	12.85	12.7884288194444	12.7258333333333	0.0625954861111104	0.0615711805555552
55	12.85	NA	NA	-0.00438368055555575	NA
56	12.82	NA	NA	-0.0056336805555555	NA
57	12.79	NA	NA	0.00415798611111292	NA
58	12.94	NA	NA	-0.0240711805555556	NA
59	12.71	NA	NA	0.0590538194444447	NA
60	12.56	NA	NA	0.0492621527777781	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 10.92 & NA & NA & -0.0536545138888896 & NA \tabularnewline
2 & 10.98 & NA & NA & 0.0244704861111109 & NA \tabularnewline
3 & 11.15 & NA & NA & -0.0451128472222222 & NA \tabularnewline
4 & 11.19 & NA & NA & -0.0517795138888891 & NA \tabularnewline
5 & 11.33 & NA & NA & -0.0149045138888893 & NA \tabularnewline
6 & 11.38 & NA & NA & 0.0625954861111104 & NA \tabularnewline
7 & 11.4 & 11.4143663194444 & 11.41875 & -0.00438368055555575 & -0.0143663194444414 \tabularnewline
8 & 11.45 & 11.4868663194444 & 11.4925 & -0.0056336805555555 & -0.0368663194444423 \tabularnewline
9 & 11.56 & 11.5637413194444 & 11.5595833333333 & 0.00415798611111292 & -0.003741319444444 \tabularnewline
10 & 11.61 & 11.5955121527778 & 11.6195833333333 & -0.0240711805555556 & 0.0144878472222221 \tabularnewline
11 & 11.82 & 11.7290538194444 & 11.67 & 0.0590538194444447 & 0.0909461805555551 \tabularnewline
12 & 11.77 & 11.7650954861111 & 11.7158333333333 & 0.0492621527777781 & 0.00490451388889035 \tabularnewline
13 & 11.85 & 11.7046788194444 & 11.7583333333333 & -0.0536545138888896 & 0.145321180555559 \tabularnewline
14 & 11.82 & 11.8215538194444 & 11.7970833333333 & 0.0244704861111109 & -0.00155381944444244 \tabularnewline
15 & 11.92 & 11.7828038194444 & 11.8279166666667 & -0.0451128472222222 & 0.137196180555557 \tabularnewline
16 & 11.86 & 11.7998871527778 & 11.8516666666667 & -0.0517795138888891 & 0.0601128472222214 \tabularnewline
17 & 11.87 & 11.8538454861111 & 11.86875 & -0.0149045138888893 & 0.0161545138888908 \tabularnewline
18 & 11.94 & 11.9450954861111 & 11.8825 & 0.0625954861111104 & -0.00509548611111121 \tabularnewline
19 & 11.86 & 11.8918663194444 & 11.89625 & -0.00438368055555575 & -0.0318663194444451 \tabularnewline
20 & 11.92 & 11.9076996527778 & 11.9133333333333 & -0.0056336805555555 & 0.0123003472222241 \tabularnewline
21 & 11.83 & 11.9270746527778 & 11.9229166666667 & 0.00415798611111292 & -0.0970746527777742 \tabularnewline
22 & 11.91 & 11.9021788194444 & 11.92625 & -0.0240711805555556 & 0.00782118055555792 \tabularnewline
23 & 11.93 & 12.0011371527778 & 11.9420833333333 & 0.0590538194444447 & -0.0711371527777782 \tabularnewline
24 & 11.99 & 12.0121788194444 & 11.9629166666667 & 0.0492621527777781 & -0.0221788194444468 \tabularnewline
25 & 11.96 & 11.9392621527778 & 11.9929166666667 & -0.0536545138888896 & 0.0207378472222235 \tabularnewline
26 & 12.12 & 12.0523871527778 & 12.0279166666667 & 0.0244704861111109 & 0.0676128472222217 \tabularnewline
27 & 11.85 & 12.0223871527778 & 12.0675 & -0.0451128472222222 & -0.172387152777777 \tabularnewline
28 & 12.01 & 12.0573871527778 & 12.1091666666667 & -0.0517795138888891 & -0.0473871527777785 \tabularnewline
29 & 12.1 & 12.1325954861111 & 12.1475 & -0.0149045138888893 & -0.0325954861111093 \tabularnewline
30 & 12.21 & 12.2517621527778 & 12.1891666666667 & 0.0625954861111104 & -0.0417621527777747 \tabularnewline
31 & 12.31 & 12.2193663194444 & 12.22375 & -0.00438368055555575 & 0.0906336805555572 \tabularnewline
32 & 12.31 & 12.2472829861111 & 12.2529166666667 & -0.0056336805555555 & 0.0627170138888911 \tabularnewline
33 & 12.39 & 12.2979079861111 & 12.29375 & 0.00415798611111292 & 0.092092013888891 \tabularnewline
34 & 12.35 & 12.3134288194444 & 12.3375 & -0.0240711805555556 & 0.0365711805555566 \tabularnewline
35 & 12.41 & 12.4328038194444 & 12.37375 & 0.0590538194444447 & -0.0228038194444427 \tabularnewline
36 & 12.51 & 12.4555121527778 & 12.40625 & 0.0492621527777781 & 0.054487847222223 \tabularnewline
37 & 12.27 & 12.3759288194444 & 12.4295833333333 & -0.0536545138888896 & -0.105928819444442 \tabularnewline
38 & 12.51 & 12.4707204861111 & 12.44625 & 0.0244704861111109 & 0.0392795138888893 \tabularnewline
39 & 12.44 & 12.4182204861111 & 12.4633333333333 & -0.0451128472222222 & 0.021779513888891 \tabularnewline
40 & 12.47 & 12.4265538194444 & 12.4783333333333 & -0.0517795138888891 & 0.0434461805555593 \tabularnewline
41 & 12.51 & 12.4809288194444 & 12.4958333333333 & -0.0149045138888893 & 0.0290711805555564 \tabularnewline
42 & 12.58 & 12.5746788194444 & 12.5120833333333 & 0.0625954861111104 & 0.00532118055555664 \tabularnewline
43 & 12.5 & 12.5243663194444 & 12.52875 & -0.00438368055555575 & -0.0243663194444448 \tabularnewline
44 & 12.52 & 12.5381163194444 & 12.54375 & -0.0056336805555555 & -0.0181163194444434 \tabularnewline
45 & 12.59 & 12.5612413194444 & 12.5570833333333 & 0.00415798611111292 & 0.0287586805555566 \tabularnewline
46 & 12.51 & 12.5488454861111 & 12.5729166666667 & -0.0240711805555556 & -0.0388454861111107 \tabularnewline
47 & 12.67 & 12.6469704861111 & 12.5879166666667 & 0.0590538194444447 & 0.0230295138888899 \tabularnewline
48 & 12.64 & 12.6571788194444 & 12.6079166666667 & 0.0492621527777781 & -0.0171788194444424 \tabularnewline
49 & 12.54 & 12.5800954861111 & 12.63375 & -0.0536545138888896 & -0.0400954861111114 \tabularnewline
50 & 12.6 & 12.6853038194444 & 12.6608333333333 & 0.0244704861111109 & -0.0853038194444444 \tabularnewline
51 & 12.67 & 12.6365538194444 & 12.6816666666667 & -0.0451128472222222 & 0.0334461805555559 \tabularnewline
52 & 12.62 & 12.6561371527778 & 12.7079166666667 & -0.0517795138888891 & -0.0361371527777781 \tabularnewline
53 & 12.72 & 12.7125954861111 & 12.7275 & -0.0149045138888893 & 0.00740451388889163 \tabularnewline
54 & 12.85 & 12.7884288194444 & 12.7258333333333 & 0.0625954861111104 & 0.0615711805555552 \tabularnewline
55 & 12.85 & NA & NA & -0.00438368055555575 & NA \tabularnewline
56 & 12.82 & NA & NA & -0.0056336805555555 & NA \tabularnewline
57 & 12.79 & NA & NA & 0.00415798611111292 & NA \tabularnewline
58 & 12.94 & NA & NA & -0.0240711805555556 & NA \tabularnewline
59 & 12.71 & NA & NA & 0.0590538194444447 & NA \tabularnewline
60 & 12.56 & NA & NA & 0.0492621527777781 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166358&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]10.92[/C][C]NA[/C][C]NA[/C][C]-0.0536545138888896[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]10.98[/C][C]NA[/C][C]NA[/C][C]0.0244704861111109[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]11.15[/C][C]NA[/C][C]NA[/C][C]-0.0451128472222222[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]11.19[/C][C]NA[/C][C]NA[/C][C]-0.0517795138888891[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]11.33[/C][C]NA[/C][C]NA[/C][C]-0.0149045138888893[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]11.38[/C][C]NA[/C][C]NA[/C][C]0.0625954861111104[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]11.4[/C][C]11.4143663194444[/C][C]11.41875[/C][C]-0.00438368055555575[/C][C]-0.0143663194444414[/C][/ROW]
[ROW][C]8[/C][C]11.45[/C][C]11.4868663194444[/C][C]11.4925[/C][C]-0.0056336805555555[/C][C]-0.0368663194444423[/C][/ROW]
[ROW][C]9[/C][C]11.56[/C][C]11.5637413194444[/C][C]11.5595833333333[/C][C]0.00415798611111292[/C][C]-0.003741319444444[/C][/ROW]
[ROW][C]10[/C][C]11.61[/C][C]11.5955121527778[/C][C]11.6195833333333[/C][C]-0.0240711805555556[/C][C]0.0144878472222221[/C][/ROW]
[ROW][C]11[/C][C]11.82[/C][C]11.7290538194444[/C][C]11.67[/C][C]0.0590538194444447[/C][C]0.0909461805555551[/C][/ROW]
[ROW][C]12[/C][C]11.77[/C][C]11.7650954861111[/C][C]11.7158333333333[/C][C]0.0492621527777781[/C][C]0.00490451388889035[/C][/ROW]
[ROW][C]13[/C][C]11.85[/C][C]11.7046788194444[/C][C]11.7583333333333[/C][C]-0.0536545138888896[/C][C]0.145321180555559[/C][/ROW]
[ROW][C]14[/C][C]11.82[/C][C]11.8215538194444[/C][C]11.7970833333333[/C][C]0.0244704861111109[/C][C]-0.00155381944444244[/C][/ROW]
[ROW][C]15[/C][C]11.92[/C][C]11.7828038194444[/C][C]11.8279166666667[/C][C]-0.0451128472222222[/C][C]0.137196180555557[/C][/ROW]
[ROW][C]16[/C][C]11.86[/C][C]11.7998871527778[/C][C]11.8516666666667[/C][C]-0.0517795138888891[/C][C]0.0601128472222214[/C][/ROW]
[ROW][C]17[/C][C]11.87[/C][C]11.8538454861111[/C][C]11.86875[/C][C]-0.0149045138888893[/C][C]0.0161545138888908[/C][/ROW]
[ROW][C]18[/C][C]11.94[/C][C]11.9450954861111[/C][C]11.8825[/C][C]0.0625954861111104[/C][C]-0.00509548611111121[/C][/ROW]
[ROW][C]19[/C][C]11.86[/C][C]11.8918663194444[/C][C]11.89625[/C][C]-0.00438368055555575[/C][C]-0.0318663194444451[/C][/ROW]
[ROW][C]20[/C][C]11.92[/C][C]11.9076996527778[/C][C]11.9133333333333[/C][C]-0.0056336805555555[/C][C]0.0123003472222241[/C][/ROW]
[ROW][C]21[/C][C]11.83[/C][C]11.9270746527778[/C][C]11.9229166666667[/C][C]0.00415798611111292[/C][C]-0.0970746527777742[/C][/ROW]
[ROW][C]22[/C][C]11.91[/C][C]11.9021788194444[/C][C]11.92625[/C][C]-0.0240711805555556[/C][C]0.00782118055555792[/C][/ROW]
[ROW][C]23[/C][C]11.93[/C][C]12.0011371527778[/C][C]11.9420833333333[/C][C]0.0590538194444447[/C][C]-0.0711371527777782[/C][/ROW]
[ROW][C]24[/C][C]11.99[/C][C]12.0121788194444[/C][C]11.9629166666667[/C][C]0.0492621527777781[/C][C]-0.0221788194444468[/C][/ROW]
[ROW][C]25[/C][C]11.96[/C][C]11.9392621527778[/C][C]11.9929166666667[/C][C]-0.0536545138888896[/C][C]0.0207378472222235[/C][/ROW]
[ROW][C]26[/C][C]12.12[/C][C]12.0523871527778[/C][C]12.0279166666667[/C][C]0.0244704861111109[/C][C]0.0676128472222217[/C][/ROW]
[ROW][C]27[/C][C]11.85[/C][C]12.0223871527778[/C][C]12.0675[/C][C]-0.0451128472222222[/C][C]-0.172387152777777[/C][/ROW]
[ROW][C]28[/C][C]12.01[/C][C]12.0573871527778[/C][C]12.1091666666667[/C][C]-0.0517795138888891[/C][C]-0.0473871527777785[/C][/ROW]
[ROW][C]29[/C][C]12.1[/C][C]12.1325954861111[/C][C]12.1475[/C][C]-0.0149045138888893[/C][C]-0.0325954861111093[/C][/ROW]
[ROW][C]30[/C][C]12.21[/C][C]12.2517621527778[/C][C]12.1891666666667[/C][C]0.0625954861111104[/C][C]-0.0417621527777747[/C][/ROW]
[ROW][C]31[/C][C]12.31[/C][C]12.2193663194444[/C][C]12.22375[/C][C]-0.00438368055555575[/C][C]0.0906336805555572[/C][/ROW]
[ROW][C]32[/C][C]12.31[/C][C]12.2472829861111[/C][C]12.2529166666667[/C][C]-0.0056336805555555[/C][C]0.0627170138888911[/C][/ROW]
[ROW][C]33[/C][C]12.39[/C][C]12.2979079861111[/C][C]12.29375[/C][C]0.00415798611111292[/C][C]0.092092013888891[/C][/ROW]
[ROW][C]34[/C][C]12.35[/C][C]12.3134288194444[/C][C]12.3375[/C][C]-0.0240711805555556[/C][C]0.0365711805555566[/C][/ROW]
[ROW][C]35[/C][C]12.41[/C][C]12.4328038194444[/C][C]12.37375[/C][C]0.0590538194444447[/C][C]-0.0228038194444427[/C][/ROW]
[ROW][C]36[/C][C]12.51[/C][C]12.4555121527778[/C][C]12.40625[/C][C]0.0492621527777781[/C][C]0.054487847222223[/C][/ROW]
[ROW][C]37[/C][C]12.27[/C][C]12.3759288194444[/C][C]12.4295833333333[/C][C]-0.0536545138888896[/C][C]-0.105928819444442[/C][/ROW]
[ROW][C]38[/C][C]12.51[/C][C]12.4707204861111[/C][C]12.44625[/C][C]0.0244704861111109[/C][C]0.0392795138888893[/C][/ROW]
[ROW][C]39[/C][C]12.44[/C][C]12.4182204861111[/C][C]12.4633333333333[/C][C]-0.0451128472222222[/C][C]0.021779513888891[/C][/ROW]
[ROW][C]40[/C][C]12.47[/C][C]12.4265538194444[/C][C]12.4783333333333[/C][C]-0.0517795138888891[/C][C]0.0434461805555593[/C][/ROW]
[ROW][C]41[/C][C]12.51[/C][C]12.4809288194444[/C][C]12.4958333333333[/C][C]-0.0149045138888893[/C][C]0.0290711805555564[/C][/ROW]
[ROW][C]42[/C][C]12.58[/C][C]12.5746788194444[/C][C]12.5120833333333[/C][C]0.0625954861111104[/C][C]0.00532118055555664[/C][/ROW]
[ROW][C]43[/C][C]12.5[/C][C]12.5243663194444[/C][C]12.52875[/C][C]-0.00438368055555575[/C][C]-0.0243663194444448[/C][/ROW]
[ROW][C]44[/C][C]12.52[/C][C]12.5381163194444[/C][C]12.54375[/C][C]-0.0056336805555555[/C][C]-0.0181163194444434[/C][/ROW]
[ROW][C]45[/C][C]12.59[/C][C]12.5612413194444[/C][C]12.5570833333333[/C][C]0.00415798611111292[/C][C]0.0287586805555566[/C][/ROW]
[ROW][C]46[/C][C]12.51[/C][C]12.5488454861111[/C][C]12.5729166666667[/C][C]-0.0240711805555556[/C][C]-0.0388454861111107[/C][/ROW]
[ROW][C]47[/C][C]12.67[/C][C]12.6469704861111[/C][C]12.5879166666667[/C][C]0.0590538194444447[/C][C]0.0230295138888899[/C][/ROW]
[ROW][C]48[/C][C]12.64[/C][C]12.6571788194444[/C][C]12.6079166666667[/C][C]0.0492621527777781[/C][C]-0.0171788194444424[/C][/ROW]
[ROW][C]49[/C][C]12.54[/C][C]12.5800954861111[/C][C]12.63375[/C][C]-0.0536545138888896[/C][C]-0.0400954861111114[/C][/ROW]
[ROW][C]50[/C][C]12.6[/C][C]12.6853038194444[/C][C]12.6608333333333[/C][C]0.0244704861111109[/C][C]-0.0853038194444444[/C][/ROW]
[ROW][C]51[/C][C]12.67[/C][C]12.6365538194444[/C][C]12.6816666666667[/C][C]-0.0451128472222222[/C][C]0.0334461805555559[/C][/ROW]
[ROW][C]52[/C][C]12.62[/C][C]12.6561371527778[/C][C]12.7079166666667[/C][C]-0.0517795138888891[/C][C]-0.0361371527777781[/C][/ROW]
[ROW][C]53[/C][C]12.72[/C][C]12.7125954861111[/C][C]12.7275[/C][C]-0.0149045138888893[/C][C]0.00740451388889163[/C][/ROW]
[ROW][C]54[/C][C]12.85[/C][C]12.7884288194444[/C][C]12.7258333333333[/C][C]0.0625954861111104[/C][C]0.0615711805555552[/C][/ROW]
[ROW][C]55[/C][C]12.85[/C][C]NA[/C][C]NA[/C][C]-0.00438368055555575[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]12.82[/C][C]NA[/C][C]NA[/C][C]-0.0056336805555555[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]12.79[/C][C]NA[/C][C]NA[/C][C]0.00415798611111292[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]12.94[/C][C]NA[/C][C]NA[/C][C]-0.0240711805555556[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]12.71[/C][C]NA[/C][C]NA[/C][C]0.0590538194444447[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]12.56[/C][C]NA[/C][C]NA[/C][C]0.0492621527777781[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166358&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166358&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
t	Observations	Fit	Trend	Seasonal	Random
1	10.92	NA	NA	-0.0536545138888896	NA
2	10.98	NA	NA	0.0244704861111109	NA
3	11.15	NA	NA	-0.0451128472222222	NA
4	11.19	NA	NA	-0.0517795138888891	NA
5	11.33	NA	NA	-0.0149045138888893	NA
6	11.38	NA	NA	0.0625954861111104	NA
7	11.4	11.4143663194444	11.41875	-0.00438368055555575	-0.0143663194444414
8	11.45	11.4868663194444	11.4925	-0.0056336805555555	-0.0368663194444423
9	11.56	11.5637413194444	11.5595833333333	0.00415798611111292	-0.003741319444444
10	11.61	11.5955121527778	11.6195833333333	-0.0240711805555556	0.0144878472222221
11	11.82	11.7290538194444	11.67	0.0590538194444447	0.0909461805555551
12	11.77	11.7650954861111	11.7158333333333	0.0492621527777781	0.00490451388889035
13	11.85	11.7046788194444	11.7583333333333	-0.0536545138888896	0.145321180555559
14	11.82	11.8215538194444	11.7970833333333	0.0244704861111109	-0.00155381944444244
15	11.92	11.7828038194444	11.8279166666667	-0.0451128472222222	0.137196180555557
16	11.86	11.7998871527778	11.8516666666667	-0.0517795138888891	0.0601128472222214
17	11.87	11.8538454861111	11.86875	-0.0149045138888893	0.0161545138888908
18	11.94	11.9450954861111	11.8825	0.0625954861111104	-0.00509548611111121
19	11.86	11.8918663194444	11.89625	-0.00438368055555575	-0.0318663194444451
20	11.92	11.9076996527778	11.9133333333333	-0.0056336805555555	0.0123003472222241
21	11.83	11.9270746527778	11.9229166666667	0.00415798611111292	-0.0970746527777742
22	11.91	11.9021788194444	11.92625	-0.0240711805555556	0.00782118055555792
23	11.93	12.0011371527778	11.9420833333333	0.0590538194444447	-0.0711371527777782
24	11.99	12.0121788194444	11.9629166666667	0.0492621527777781	-0.0221788194444468
25	11.96	11.9392621527778	11.9929166666667	-0.0536545138888896	0.0207378472222235
26	12.12	12.0523871527778	12.0279166666667	0.0244704861111109	0.0676128472222217
27	11.85	12.0223871527778	12.0675	-0.0451128472222222	-0.172387152777777
28	12.01	12.0573871527778	12.1091666666667	-0.0517795138888891	-0.0473871527777785
29	12.1	12.1325954861111	12.1475	-0.0149045138888893	-0.0325954861111093
30	12.21	12.2517621527778	12.1891666666667	0.0625954861111104	-0.0417621527777747
31	12.31	12.2193663194444	12.22375	-0.00438368055555575	0.0906336805555572
32	12.31	12.2472829861111	12.2529166666667	-0.0056336805555555	0.0627170138888911
33	12.39	12.2979079861111	12.29375	0.00415798611111292	0.092092013888891
34	12.35	12.3134288194444	12.3375	-0.0240711805555556	0.0365711805555566
35	12.41	12.4328038194444	12.37375	0.0590538194444447	-0.0228038194444427
36	12.51	12.4555121527778	12.40625	0.0492621527777781	0.054487847222223
37	12.27	12.3759288194444	12.4295833333333	-0.0536545138888896	-0.105928819444442
38	12.51	12.4707204861111	12.44625	0.0244704861111109	0.0392795138888893
39	12.44	12.4182204861111	12.4633333333333	-0.0451128472222222	0.021779513888891
40	12.47	12.4265538194444	12.4783333333333	-0.0517795138888891	0.0434461805555593
41	12.51	12.4809288194444	12.4958333333333	-0.0149045138888893	0.0290711805555564
42	12.58	12.5746788194444	12.5120833333333	0.0625954861111104	0.00532118055555664
43	12.5	12.5243663194444	12.52875	-0.00438368055555575	-0.0243663194444448
44	12.52	12.5381163194444	12.54375	-0.0056336805555555	-0.0181163194444434
45	12.59	12.5612413194444	12.5570833333333	0.00415798611111292	0.0287586805555566
46	12.51	12.5488454861111	12.5729166666667	-0.0240711805555556	-0.0388454861111107
47	12.67	12.6469704861111	12.5879166666667	0.0590538194444447	0.0230295138888899
48	12.64	12.6571788194444	12.6079166666667	0.0492621527777781	-0.0171788194444424
49	12.54	12.5800954861111	12.63375	-0.0536545138888896	-0.0400954861111114
50	12.6	12.6853038194444	12.6608333333333	0.0244704861111109	-0.0853038194444444
51	12.67	12.6365538194444	12.6816666666667	-0.0451128472222222	0.0334461805555559
52	12.62	12.6561371527778	12.7079166666667	-0.0517795138888891	-0.0361371527777781
53	12.72	12.7125954861111	12.7275	-0.0149045138888893	0.00740451388889163
54	12.85	12.7884288194444	12.7258333333333	0.0625954861111104	0.0615711805555552
55	12.85	NA	NA	-0.00438368055555575	NA
56	12.82	NA	NA	-0.0056336805555555	NA
57	12.79	NA	NA	0.00415798611111292	NA
58	12.94	NA	NA	-0.0240711805555556	NA
59	12.71	NA	NA	0.0590538194444447	NA
60	12.56	NA	NA	0.0492621527777781	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; par2 = 12 ;

R code (references can be found in the software module):

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

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code