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Classical Decomposition

Date of computation

Tue, 29 Nov 2011 16:17:55 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/29/t1322601489szqkkwfj05z1r9b.htm/, Retrieved Sun, 11 May 2025 09:10:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148734, Retrieved Sun, 11 May 2025 09:10:33 +0000

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Estimated Impact

185

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

-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
F  M D  [Classical Decomposition] [] [2010-11-26 10:00:41] [8a9a6f7c332640af31ddca253a8ded58]
- RM        [Classical Decomposition] [] [2011-11-29 21:17:55] [4be1b05f688f7fa8db5b9e9e4d3a7e33] [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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148734&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148734&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148734&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	101.76	NA	NA	-0.0784606481481403	NA
2	102.37	NA	NA	-0.0827662037036967	NA
3	102.38	NA	NA	-0.324710648148148	NA
4	102.86	NA	NA	-0.132210648148158	NA
5	102.87	NA	NA	-0.440960648148161	NA
6	102.92	NA	NA	-0.36637731481482	NA
7	102.95	102.755706018519	103.285416666667	-0.529710648148142	0.194293981481479
8	103.02	103.152372685185	103.512916666667	-0.360543981481478	-0.132372685185203
9	104.08	104.565150462963	103.727083333333	0.838067129629633	-0.485150462962977
10	104.16	104.653206018519	103.9525	0.700706018518514	-0.493206018518521
11	104.24	104.633622685185	104.1825	0.45112268518519	-0.393622685185179
12	104.33	104.736261574074	104.410416666667	0.325844907407408	-0.406261574074037
13	104.73	104.569456018519	104.647916666667	-0.0784606481481403	0.160543981481496
14	104.86	104.83931712963	104.922083333333	-0.0827662037036967	0.0206828703703792
15	105.03	104.897372685185	105.222083333333	-0.324710648148148	0.132627314814826
16	105.62	105.391122685185	105.523333333333	-0.132210648148158	0.228877314814824
17	105.63	105.386956018519	105.827916666667	-0.440960648148161	0.243043981481492
18	105.63	105.788206018518	106.154583333333	-0.36637731481482	-0.158206018518499
19	105.94	105.939872685185	106.469583333333	-0.529710648148142	0.000127314814832857
20	106.61	106.401956018519	106.7625	-0.360543981481478	0.208043981481495
21	107.69	107.895150462963	107.057083333333	0.838067129629633	-0.205150462962962
22	107.78	108.037789351852	107.337083333333	0.700706018518514	-0.257789351851855
23	107.93	108.061956018519	107.610833333333	0.45112268518519	-0.131956018518508
24	108.48	108.223344907407	107.8975	0.325844907407408	0.256655092592595
25	108.14	108.115289351852	108.19375	-0.0784606481481403	0.0247106481481438
26	108.48	108.390983796296	108.47375	-0.0827662037036967	0.0890162037037072
27	108.48	108.450289351852	108.775	-0.324710648148148	0.0297106481481535
28	108.89	108.980706018519	109.112916666667	-0.132210648148158	-0.0907060185185173
29	108.93	109.016122685185	109.457083333333	-0.440960648148161	-0.0861226851851882
30	109.21	109.418206018519	109.784583333333	-0.36637731481482	-0.208206018518524
31	109.47	109.575706018519	110.105416666667	-0.529710648148142	-0.105706018518532
32	109.8	110.087372685185	110.447916666667	-0.360543981481478	-0.287372685185176
33	111.73	111.64056712963	110.8025	0.838067129629633	0.0894328703703735
34	111.85	111.872789351852	111.172083333333	0.700706018518514	-0.0227893518518414
35	112.12	112.004456018518	111.553333333333	0.45112268518519	0.115543981481508
36	112.15	112.292511574074	111.966666666667	0.325844907407408	-0.142511574074049
37	112.17	112.319872685185	112.398333333333	-0.0784606481481403	-0.149872685185187
38	112.67	112.74431712963	112.827083333333	-0.0827662037036967	-0.0743171296296197
39	112.8	112.926956018518	113.251666666667	-0.324710648148148	-0.126956018518499
40	113.44	113.542789351852	113.675	-0.132210648148158	-0.10278935185184
41	113.53	113.651539351852	114.0925	-0.440960648148161	-0.121539351851837
42	114.53	114.128206018518	114.494583333333	-0.36637731481482	0.401793981481504
43	114.51	114.369039351852	114.89875	-0.529710648148142	0.140960648148152
44	115.05	114.935289351852	115.295833333333	-0.360543981481478	0.114710648148161
45	116.67	116.518900462963	115.680833333333	0.838067129629633	0.151099537037041
46	117.07	116.754039351852	116.053333333333	0.700706018518514	0.315960648148149
47	116.92	116.868206018519	116.417083333333	0.45112268518519	0.051793981481481
48	117	117.078761574074	116.752916666667	0.325844907407408	-0.0787615740740648
49	117.02	NA	117.07375	NA	NA
50	117.35	NA	117.39625	NA	NA
51	117.36	NA	117.68125	NA	NA
52	117.82	NA	117.935833333333	NA	NA
53	117.88	NA	NA	NA	NA
54	118.24	NA	NA	NA	NA
55	118.5	NA	NA	NA	NA
56	118.8	NA	NA	NA	NA
57	119.76	NA	NA	NA	NA
58	120.09	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.76 & NA & NA & -0.0784606481481403 & NA \tabularnewline
2 & 102.37 & NA & NA & -0.0827662037036967 & NA \tabularnewline
3 & 102.38 & NA & NA & -0.324710648148148 & NA \tabularnewline
4 & 102.86 & NA & NA & -0.132210648148158 & NA \tabularnewline
5 & 102.87 & NA & NA & -0.440960648148161 & NA \tabularnewline
6 & 102.92 & NA & NA & -0.36637731481482 & NA \tabularnewline
7 & 102.95 & 102.755706018519 & 103.285416666667 & -0.529710648148142 & 0.194293981481479 \tabularnewline
8 & 103.02 & 103.152372685185 & 103.512916666667 & -0.360543981481478 & -0.132372685185203 \tabularnewline
9 & 104.08 & 104.565150462963 & 103.727083333333 & 0.838067129629633 & -0.485150462962977 \tabularnewline
10 & 104.16 & 104.653206018519 & 103.9525 & 0.700706018518514 & -0.493206018518521 \tabularnewline
11 & 104.24 & 104.633622685185 & 104.1825 & 0.45112268518519 & -0.393622685185179 \tabularnewline
12 & 104.33 & 104.736261574074 & 104.410416666667 & 0.325844907407408 & -0.406261574074037 \tabularnewline
13 & 104.73 & 104.569456018519 & 104.647916666667 & -0.0784606481481403 & 0.160543981481496 \tabularnewline
14 & 104.86 & 104.83931712963 & 104.922083333333 & -0.0827662037036967 & 0.0206828703703792 \tabularnewline
15 & 105.03 & 104.897372685185 & 105.222083333333 & -0.324710648148148 & 0.132627314814826 \tabularnewline
16 & 105.62 & 105.391122685185 & 105.523333333333 & -0.132210648148158 & 0.228877314814824 \tabularnewline
17 & 105.63 & 105.386956018519 & 105.827916666667 & -0.440960648148161 & 0.243043981481492 \tabularnewline
18 & 105.63 & 105.788206018518 & 106.154583333333 & -0.36637731481482 & -0.158206018518499 \tabularnewline
19 & 105.94 & 105.939872685185 & 106.469583333333 & -0.529710648148142 & 0.000127314814832857 \tabularnewline
20 & 106.61 & 106.401956018519 & 106.7625 & -0.360543981481478 & 0.208043981481495 \tabularnewline
21 & 107.69 & 107.895150462963 & 107.057083333333 & 0.838067129629633 & -0.205150462962962 \tabularnewline
22 & 107.78 & 108.037789351852 & 107.337083333333 & 0.700706018518514 & -0.257789351851855 \tabularnewline
23 & 107.93 & 108.061956018519 & 107.610833333333 & 0.45112268518519 & -0.131956018518508 \tabularnewline
24 & 108.48 & 108.223344907407 & 107.8975 & 0.325844907407408 & 0.256655092592595 \tabularnewline
25 & 108.14 & 108.115289351852 & 108.19375 & -0.0784606481481403 & 0.0247106481481438 \tabularnewline
26 & 108.48 & 108.390983796296 & 108.47375 & -0.0827662037036967 & 0.0890162037037072 \tabularnewline
27 & 108.48 & 108.450289351852 & 108.775 & -0.324710648148148 & 0.0297106481481535 \tabularnewline
28 & 108.89 & 108.980706018519 & 109.112916666667 & -0.132210648148158 & -0.0907060185185173 \tabularnewline
29 & 108.93 & 109.016122685185 & 109.457083333333 & -0.440960648148161 & -0.0861226851851882 \tabularnewline
30 & 109.21 & 109.418206018519 & 109.784583333333 & -0.36637731481482 & -0.208206018518524 \tabularnewline
31 & 109.47 & 109.575706018519 & 110.105416666667 & -0.529710648148142 & -0.105706018518532 \tabularnewline
32 & 109.8 & 110.087372685185 & 110.447916666667 & -0.360543981481478 & -0.287372685185176 \tabularnewline
33 & 111.73 & 111.64056712963 & 110.8025 & 0.838067129629633 & 0.0894328703703735 \tabularnewline
34 & 111.85 & 111.872789351852 & 111.172083333333 & 0.700706018518514 & -0.0227893518518414 \tabularnewline
35 & 112.12 & 112.004456018518 & 111.553333333333 & 0.45112268518519 & 0.115543981481508 \tabularnewline
36 & 112.15 & 112.292511574074 & 111.966666666667 & 0.325844907407408 & -0.142511574074049 \tabularnewline
37 & 112.17 & 112.319872685185 & 112.398333333333 & -0.0784606481481403 & -0.149872685185187 \tabularnewline
38 & 112.67 & 112.74431712963 & 112.827083333333 & -0.0827662037036967 & -0.0743171296296197 \tabularnewline
39 & 112.8 & 112.926956018518 & 113.251666666667 & -0.324710648148148 & -0.126956018518499 \tabularnewline
40 & 113.44 & 113.542789351852 & 113.675 & -0.132210648148158 & -0.10278935185184 \tabularnewline
41 & 113.53 & 113.651539351852 & 114.0925 & -0.440960648148161 & -0.121539351851837 \tabularnewline
42 & 114.53 & 114.128206018518 & 114.494583333333 & -0.36637731481482 & 0.401793981481504 \tabularnewline
43 & 114.51 & 114.369039351852 & 114.89875 & -0.529710648148142 & 0.140960648148152 \tabularnewline
44 & 115.05 & 114.935289351852 & 115.295833333333 & -0.360543981481478 & 0.114710648148161 \tabularnewline
45 & 116.67 & 116.518900462963 & 115.680833333333 & 0.838067129629633 & 0.151099537037041 \tabularnewline
46 & 117.07 & 116.754039351852 & 116.053333333333 & 0.700706018518514 & 0.315960648148149 \tabularnewline
47 & 116.92 & 116.868206018519 & 116.417083333333 & 0.45112268518519 & 0.051793981481481 \tabularnewline
48 & 117 & 117.078761574074 & 116.752916666667 & 0.325844907407408 & -0.0787615740740648 \tabularnewline
49 & 117.02 & NA & 117.07375 & NA & NA \tabularnewline
50 & 117.35 & NA & 117.39625 & NA & NA \tabularnewline
51 & 117.36 & NA & 117.68125 & NA & NA \tabularnewline
52 & 117.82 & NA & 117.935833333333 & NA & NA \tabularnewline
53 & 117.88 & NA & NA & NA & NA \tabularnewline
54 & 118.24 & NA & NA & NA & NA \tabularnewline
55 & 118.5 & NA & NA & NA & NA \tabularnewline
56 & 118.8 & NA & NA & NA & NA \tabularnewline
57 & 119.76 & NA & NA & NA & NA \tabularnewline
58 & 120.09 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148734&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]101.76[/C][C]NA[/C][C]NA[/C][C]-0.0784606481481403[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]102.37[/C][C]NA[/C][C]NA[/C][C]-0.0827662037036967[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]102.38[/C][C]NA[/C][C]NA[/C][C]-0.324710648148148[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102.86[/C][C]NA[/C][C]NA[/C][C]-0.132210648148158[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]102.87[/C][C]NA[/C][C]NA[/C][C]-0.440960648148161[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]102.92[/C][C]NA[/C][C]NA[/C][C]-0.36637731481482[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]102.95[/C][C]102.755706018519[/C][C]103.285416666667[/C][C]-0.529710648148142[/C][C]0.194293981481479[/C][/ROW]
[ROW][C]8[/C][C]103.02[/C][C]103.152372685185[/C][C]103.512916666667[/C][C]-0.360543981481478[/C][C]-0.132372685185203[/C][/ROW]
[ROW][C]9[/C][C]104.08[/C][C]104.565150462963[/C][C]103.727083333333[/C][C]0.838067129629633[/C][C]-0.485150462962977[/C][/ROW]
[ROW][C]10[/C][C]104.16[/C][C]104.653206018519[/C][C]103.9525[/C][C]0.700706018518514[/C][C]-0.493206018518521[/C][/ROW]
[ROW][C]11[/C][C]104.24[/C][C]104.633622685185[/C][C]104.1825[/C][C]0.45112268518519[/C][C]-0.393622685185179[/C][/ROW]
[ROW][C]12[/C][C]104.33[/C][C]104.736261574074[/C][C]104.410416666667[/C][C]0.325844907407408[/C][C]-0.406261574074037[/C][/ROW]
[ROW][C]13[/C][C]104.73[/C][C]104.569456018519[/C][C]104.647916666667[/C][C]-0.0784606481481403[/C][C]0.160543981481496[/C][/ROW]
[ROW][C]14[/C][C]104.86[/C][C]104.83931712963[/C][C]104.922083333333[/C][C]-0.0827662037036967[/C][C]0.0206828703703792[/C][/ROW]
[ROW][C]15[/C][C]105.03[/C][C]104.897372685185[/C][C]105.222083333333[/C][C]-0.324710648148148[/C][C]0.132627314814826[/C][/ROW]
[ROW][C]16[/C][C]105.62[/C][C]105.391122685185[/C][C]105.523333333333[/C][C]-0.132210648148158[/C][C]0.228877314814824[/C][/ROW]
[ROW][C]17[/C][C]105.63[/C][C]105.386956018519[/C][C]105.827916666667[/C][C]-0.440960648148161[/C][C]0.243043981481492[/C][/ROW]
[ROW][C]18[/C][C]105.63[/C][C]105.788206018518[/C][C]106.154583333333[/C][C]-0.36637731481482[/C][C]-0.158206018518499[/C][/ROW]
[ROW][C]19[/C][C]105.94[/C][C]105.939872685185[/C][C]106.469583333333[/C][C]-0.529710648148142[/C][C]0.000127314814832857[/C][/ROW]
[ROW][C]20[/C][C]106.61[/C][C]106.401956018519[/C][C]106.7625[/C][C]-0.360543981481478[/C][C]0.208043981481495[/C][/ROW]
[ROW][C]21[/C][C]107.69[/C][C]107.895150462963[/C][C]107.057083333333[/C][C]0.838067129629633[/C][C]-0.205150462962962[/C][/ROW]
[ROW][C]22[/C][C]107.78[/C][C]108.037789351852[/C][C]107.337083333333[/C][C]0.700706018518514[/C][C]-0.257789351851855[/C][/ROW]
[ROW][C]23[/C][C]107.93[/C][C]108.061956018519[/C][C]107.610833333333[/C][C]0.45112268518519[/C][C]-0.131956018518508[/C][/ROW]
[ROW][C]24[/C][C]108.48[/C][C]108.223344907407[/C][C]107.8975[/C][C]0.325844907407408[/C][C]0.256655092592595[/C][/ROW]
[ROW][C]25[/C][C]108.14[/C][C]108.115289351852[/C][C]108.19375[/C][C]-0.0784606481481403[/C][C]0.0247106481481438[/C][/ROW]
[ROW][C]26[/C][C]108.48[/C][C]108.390983796296[/C][C]108.47375[/C][C]-0.0827662037036967[/C][C]0.0890162037037072[/C][/ROW]
[ROW][C]27[/C][C]108.48[/C][C]108.450289351852[/C][C]108.775[/C][C]-0.324710648148148[/C][C]0.0297106481481535[/C][/ROW]
[ROW][C]28[/C][C]108.89[/C][C]108.980706018519[/C][C]109.112916666667[/C][C]-0.132210648148158[/C][C]-0.0907060185185173[/C][/ROW]
[ROW][C]29[/C][C]108.93[/C][C]109.016122685185[/C][C]109.457083333333[/C][C]-0.440960648148161[/C][C]-0.0861226851851882[/C][/ROW]
[ROW][C]30[/C][C]109.21[/C][C]109.418206018519[/C][C]109.784583333333[/C][C]-0.36637731481482[/C][C]-0.208206018518524[/C][/ROW]
[ROW][C]31[/C][C]109.47[/C][C]109.575706018519[/C][C]110.105416666667[/C][C]-0.529710648148142[/C][C]-0.105706018518532[/C][/ROW]
[ROW][C]32[/C][C]109.8[/C][C]110.087372685185[/C][C]110.447916666667[/C][C]-0.360543981481478[/C][C]-0.287372685185176[/C][/ROW]
[ROW][C]33[/C][C]111.73[/C][C]111.64056712963[/C][C]110.8025[/C][C]0.838067129629633[/C][C]0.0894328703703735[/C][/ROW]
[ROW][C]34[/C][C]111.85[/C][C]111.872789351852[/C][C]111.172083333333[/C][C]0.700706018518514[/C][C]-0.0227893518518414[/C][/ROW]
[ROW][C]35[/C][C]112.12[/C][C]112.004456018518[/C][C]111.553333333333[/C][C]0.45112268518519[/C][C]0.115543981481508[/C][/ROW]
[ROW][C]36[/C][C]112.15[/C][C]112.292511574074[/C][C]111.966666666667[/C][C]0.325844907407408[/C][C]-0.142511574074049[/C][/ROW]
[ROW][C]37[/C][C]112.17[/C][C]112.319872685185[/C][C]112.398333333333[/C][C]-0.0784606481481403[/C][C]-0.149872685185187[/C][/ROW]
[ROW][C]38[/C][C]112.67[/C][C]112.74431712963[/C][C]112.827083333333[/C][C]-0.0827662037036967[/C][C]-0.0743171296296197[/C][/ROW]
[ROW][C]39[/C][C]112.8[/C][C]112.926956018518[/C][C]113.251666666667[/C][C]-0.324710648148148[/C][C]-0.126956018518499[/C][/ROW]
[ROW][C]40[/C][C]113.44[/C][C]113.542789351852[/C][C]113.675[/C][C]-0.132210648148158[/C][C]-0.10278935185184[/C][/ROW]
[ROW][C]41[/C][C]113.53[/C][C]113.651539351852[/C][C]114.0925[/C][C]-0.440960648148161[/C][C]-0.121539351851837[/C][/ROW]
[ROW][C]42[/C][C]114.53[/C][C]114.128206018518[/C][C]114.494583333333[/C][C]-0.36637731481482[/C][C]0.401793981481504[/C][/ROW]
[ROW][C]43[/C][C]114.51[/C][C]114.369039351852[/C][C]114.89875[/C][C]-0.529710648148142[/C][C]0.140960648148152[/C][/ROW]
[ROW][C]44[/C][C]115.05[/C][C]114.935289351852[/C][C]115.295833333333[/C][C]-0.360543981481478[/C][C]0.114710648148161[/C][/ROW]
[ROW][C]45[/C][C]116.67[/C][C]116.518900462963[/C][C]115.680833333333[/C][C]0.838067129629633[/C][C]0.151099537037041[/C][/ROW]
[ROW][C]46[/C][C]117.07[/C][C]116.754039351852[/C][C]116.053333333333[/C][C]0.700706018518514[/C][C]0.315960648148149[/C][/ROW]
[ROW][C]47[/C][C]116.92[/C][C]116.868206018519[/C][C]116.417083333333[/C][C]0.45112268518519[/C][C]0.051793981481481[/C][/ROW]
[ROW][C]48[/C][C]117[/C][C]117.078761574074[/C][C]116.752916666667[/C][C]0.325844907407408[/C][C]-0.0787615740740648[/C][/ROW]
[ROW][C]49[/C][C]117.02[/C][C]NA[/C][C]117.07375[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]50[/C][C]117.35[/C][C]NA[/C][C]117.39625[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]51[/C][C]117.36[/C][C]NA[/C][C]117.68125[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]52[/C][C]117.82[/C][C]NA[/C][C]117.935833333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]53[/C][C]117.88[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]54[/C][C]118.24[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]55[/C][C]118.5[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]118.8[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]119.76[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]120.09[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148734&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148734&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	101.76	NA	NA	-0.0784606481481403	NA
2	102.37	NA	NA	-0.0827662037036967	NA
3	102.38	NA	NA	-0.324710648148148	NA
4	102.86	NA	NA	-0.132210648148158	NA
5	102.87	NA	NA	-0.440960648148161	NA
6	102.92	NA	NA	-0.36637731481482	NA
7	102.95	102.755706018519	103.285416666667	-0.529710648148142	0.194293981481479
8	103.02	103.152372685185	103.512916666667	-0.360543981481478	-0.132372685185203
9	104.08	104.565150462963	103.727083333333	0.838067129629633	-0.485150462962977
10	104.16	104.653206018519	103.9525	0.700706018518514	-0.493206018518521
11	104.24	104.633622685185	104.1825	0.45112268518519	-0.393622685185179
12	104.33	104.736261574074	104.410416666667	0.325844907407408	-0.406261574074037
13	104.73	104.569456018519	104.647916666667	-0.0784606481481403	0.160543981481496
14	104.86	104.83931712963	104.922083333333	-0.0827662037036967	0.0206828703703792
15	105.03	104.897372685185	105.222083333333	-0.324710648148148	0.132627314814826
16	105.62	105.391122685185	105.523333333333	-0.132210648148158	0.228877314814824
17	105.63	105.386956018519	105.827916666667	-0.440960648148161	0.243043981481492
18	105.63	105.788206018518	106.154583333333	-0.36637731481482	-0.158206018518499
19	105.94	105.939872685185	106.469583333333	-0.529710648148142	0.000127314814832857
20	106.61	106.401956018519	106.7625	-0.360543981481478	0.208043981481495
21	107.69	107.895150462963	107.057083333333	0.838067129629633	-0.205150462962962
22	107.78	108.037789351852	107.337083333333	0.700706018518514	-0.257789351851855
23	107.93	108.061956018519	107.610833333333	0.45112268518519	-0.131956018518508
24	108.48	108.223344907407	107.8975	0.325844907407408	0.256655092592595
25	108.14	108.115289351852	108.19375	-0.0784606481481403	0.0247106481481438
26	108.48	108.390983796296	108.47375	-0.0827662037036967	0.0890162037037072
27	108.48	108.450289351852	108.775	-0.324710648148148	0.0297106481481535
28	108.89	108.980706018519	109.112916666667	-0.132210648148158	-0.0907060185185173
29	108.93	109.016122685185	109.457083333333	-0.440960648148161	-0.0861226851851882
30	109.21	109.418206018519	109.784583333333	-0.36637731481482	-0.208206018518524
31	109.47	109.575706018519	110.105416666667	-0.529710648148142	-0.105706018518532
32	109.8	110.087372685185	110.447916666667	-0.360543981481478	-0.287372685185176
33	111.73	111.64056712963	110.8025	0.838067129629633	0.0894328703703735
34	111.85	111.872789351852	111.172083333333	0.700706018518514	-0.0227893518518414
35	112.12	112.004456018518	111.553333333333	0.45112268518519	0.115543981481508
36	112.15	112.292511574074	111.966666666667	0.325844907407408	-0.142511574074049
37	112.17	112.319872685185	112.398333333333	-0.0784606481481403	-0.149872685185187
38	112.67	112.74431712963	112.827083333333	-0.0827662037036967	-0.0743171296296197
39	112.8	112.926956018518	113.251666666667	-0.324710648148148	-0.126956018518499
40	113.44	113.542789351852	113.675	-0.132210648148158	-0.10278935185184
41	113.53	113.651539351852	114.0925	-0.440960648148161	-0.121539351851837
42	114.53	114.128206018518	114.494583333333	-0.36637731481482	0.401793981481504
43	114.51	114.369039351852	114.89875	-0.529710648148142	0.140960648148152
44	115.05	114.935289351852	115.295833333333	-0.360543981481478	0.114710648148161
45	116.67	116.518900462963	115.680833333333	0.838067129629633	0.151099537037041
46	117.07	116.754039351852	116.053333333333	0.700706018518514	0.315960648148149
47	116.92	116.868206018519	116.417083333333	0.45112268518519	0.051793981481481
48	117	117.078761574074	116.752916666667	0.325844907407408	-0.0787615740740648
49	117.02	NA	117.07375	NA	NA
50	117.35	NA	117.39625	NA	NA
51	117.36	NA	117.68125	NA	NA
52	117.82	NA	117.935833333333	NA	NA
53	117.88	NA	NA	NA	NA
54	118.24	NA	NA	NA	NA
55	118.5	NA	NA	NA	NA
56	118.8	NA	NA	NA	NA
57	119.76	NA	NA	NA	NA
58	120.09	NA	NA	NA	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 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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