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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Fri, 29 May 2009 05:31:54 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/May/29/t1243596922gvssfhkqr4nrup6.htm/, Retrieved Fri, 28 Aug 2026 06:50:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40760, Retrieved Fri, 28 Aug 2026 06:50:48 +0000

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Estimated Impact

418

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

-       [Classical Decomposition] [Classical Decompo...] [2009-05-29 11:31:54] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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5,11
5,11
5,11
5,1
5,1
5,1
5,1
5,1
5,12
5,25
5,26
5,26
5,26
5,26
5,26
5,26
5,29
5,3
5,33
5,33
5,35
5,38
5,38
5,38
5,38
5,38
5,39
5,39
5,4
5,4
5,4
5,4
5,4
5,41
5,41
5,41
5,41
5,41
5,42
5,42
5,42
5,42
5,43
5,43
5,45
5,51
5,51
5,51
5,51
5,51
5,51
5,53
5,53
5,53
5,53
5,52
5,53
5,54
5,54
5,57
5,56
5,57
5,58
5,61
5,66
5,68
5,69
5,7
5,72
5,71
5,69
5,7
5,7

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40760&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40760&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40760&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	5.11	NA	NA	1.00069597627142	NA
2	5.11	NA	NA	0.99921889698968	NA
3	5.11	NA	NA	0.998475750820238	NA
4	5.1	NA	NA	0.99865084599588	NA
5	5.1	NA	NA	1.00057505922897	NA
6	5.1	NA	NA	1.00033487139641	NA
7	5.1	5.15393549342138	5.14958333333333	1.00084514800642	0.989535085666046
8	5.1	5.14462589254435	5.16208333333333	0.996618140455763	0.991325726403347
9	5.12	5.15913503514901	5.17458333333333	0.997014581235013	0.992414419300448
10	5.25	5.18920296952037	5.1875	1.00032828328103	1.01171606330235
11	5.26	5.22156465408595	5.20208333333333	1.00374490747347	1.00736088671888
12	5.26	5.23658465687652	5.21833333333333	1.00349753884571	1.00447149137420
13	5.26	5.23989430575121	5.23625	1.00069597627142	1.00383704194696
14	5.26	5.25131164488785	5.25541666666667	0.99921889698968	1.00165451142490
15	5.26	5.26654355401391	5.27458333333333	0.998475750820238	0.998757523991437
16	5.26	5.28244687079904	5.28958333333333	0.99865084599588	0.995750667948384
17	5.29	5.30304781391355	5.3	1.00057505922897	0.997539563215078
18	5.3	5.31177816711491	5.31	1.00033487139641	0.99778263196535
19	5.33	5.32449618739414	5.32	1.00084514800642	1.00103367763111
20	5.33	5.31197468862922	5.33	0.996618140455763	1.00339333532770
21	5.35	5.32447328653715	5.34041666666667	0.997014581235013	1.00479422321967
22	5.38	5.35300672590763	5.35125	1.00032828328103	1.0050426378061
23	5.38	5.38132738519214	5.36125	1.00374490747347	0.999753334986495
24	5.38	5.38878178360145	5.37	1.00349753884571	0.998370358282427
25	5.38	5.38082565574277	5.37708333333333	1.00069597627142	0.999846555938514
26	5.38	5.37871205425403	5.38291666666667	0.99921889698968	1.00023945244382
27	5.39	5.37970413910687	5.38791666666667	0.998475750820238	1.00191383403750
28	5.39	5.38397637347529	5.39125	0.99865084599588	1.00111880627010
29	5.4	5.39685172571627	5.39375	1.00057505922897	1.00058335385957
30	5.4	5.39805704977285	5.39625	1.00033487139641	1.00035993510429
31	5.4	5.40331274279964	5.39875	1.00084514800642	0.999386905226972
32	5.4	5.38298373113669	5.40125	0.996618140455763	1.00316112210499
33	5.4	5.3876175433487	5.40375	0.997014581235013	1.00229831767969
34	5.41	5.40802478148809	5.40625	1.00032828328103	1.00036523843579
35	5.41	5.42858704125235	5.40833333333333	1.00374490747347	0.99657608119551
36	5.41	5.42892168515528	5.41	1.00349753884571	0.996514651296772
37	5.41	5.41585001491227	5.41208333333333	1.00069597627142	0.998919834394203
38	5.41	5.41035398599204	5.41458333333333	0.99921889698968	0.999934572489535
39	5.42	5.40965841163148	5.41791666666667	0.998475750820238	1.00191168971894
40	5.42	5.41684863048932	5.42416666666667	0.99865084599588	1.00058177175063
41	5.42	5.4356240092614	5.4325	1.00057505922897	0.997125627299686
42	5.42	5.44265531278928	5.44083333333333	1.00033487139641	0.995837452220051
43	5.43	5.45377201901163	5.44916666666667	1.00084514800642	0.99564117844883
44	5.43	5.43904350153733	5.4575	0.996618140455763	0.998337299281616
45	5.45	5.44910010919152	5.46541666666667	0.997014581235013	1.00016514484785
46	5.51	5.47554694060956	5.47375	1.00032828328103	1.00629216766181
47	5.51	5.50344968226808	5.48291666666667	1.00374490747347	1.00119022033635
48	5.51	5.51129210813553	5.49208333333333	1.00349753884571	0.999765552594531
49	5.51	5.50466178280635	5.50083333333333	1.00069597627142	1.00096976297623
50	5.51	5.5044470987919	5.50875	0.99921889698968	1.00100880272050
51	5.51	5.5074258288993	5.51583333333333	0.998475750820238	1.00046740004871
52	5.53	5.51296877441643	5.52041666666667	0.99865084599588	1.00308930202228
53	5.53	5.52609267086668	5.52291666666667	1.00057505922897	1.00070706905693
54	5.53	5.5285173892508	5.52666666666667	1.00033487139641	1.00026817510823
55	5.53	5.53592472491049	5.53125	1.00084514800642	0.99892976779763
56	5.52	5.5171119225397	5.53583333333333	0.996618140455763	1.00052347632255
57	5.53	5.52470704826852	5.54125	0.997014581235013	1.00095805111208
58	5.54	5.54932115150154	5.5475	1.00032828328103	0.998320307791338
59	5.54	5.57705764214947	5.55625	1.00374490747347	0.993355341736222
60	5.57	5.587390671498	5.56791666666667	1.00349753884571	0.996887514670003
61	5.56	5.58471746090807	5.58083333333333	1.00069597627142	0.995574089274688
62	5.57	5.59062972865726	5.595	0.99921889698968	0.99630994545185
63	5.58	5.60186499366438	5.61041666666667	0.998475750820238	0.996096836733997
64	5.61	5.61782711324599	5.62541666666667	0.99865084599588	0.998606736539197
65	5.66	5.64199261522737	5.63875	1.00057505922897	1.00319167109933
66	5.68	5.6523088295861	5.65041666666667	1.00033487139641	1.00489909013268
67	5.69	5.666451612963	5.66166666666667	1.00084514800642	1.00415575542605
68	5.7	NA	NA	0.996618140455763	NA
69	5.72	NA	NA	0.997014581235013	NA
70	5.71	NA	NA	1.00032828328103	NA
71	5.69	NA	NA	1.00374490747347	NA
72	5.7	NA	NA	1.00349753884571	NA
73	5.7	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5.11 & NA & NA & 1.00069597627142 & NA \tabularnewline
2 & 5.11 & NA & NA & 0.99921889698968 & NA \tabularnewline
3 & 5.11 & NA & NA & 0.998475750820238 & NA \tabularnewline
4 & 5.1 & NA & NA & 0.99865084599588 & NA \tabularnewline
5 & 5.1 & NA & NA & 1.00057505922897 & NA \tabularnewline
6 & 5.1 & NA & NA & 1.00033487139641 & NA \tabularnewline
7 & 5.1 & 5.15393549342138 & 5.14958333333333 & 1.00084514800642 & 0.989535085666046 \tabularnewline
8 & 5.1 & 5.14462589254435 & 5.16208333333333 & 0.996618140455763 & 0.991325726403347 \tabularnewline
9 & 5.12 & 5.15913503514901 & 5.17458333333333 & 0.997014581235013 & 0.992414419300448 \tabularnewline
10 & 5.25 & 5.18920296952037 & 5.1875 & 1.00032828328103 & 1.01171606330235 \tabularnewline
11 & 5.26 & 5.22156465408595 & 5.20208333333333 & 1.00374490747347 & 1.00736088671888 \tabularnewline
12 & 5.26 & 5.23658465687652 & 5.21833333333333 & 1.00349753884571 & 1.00447149137420 \tabularnewline
13 & 5.26 & 5.23989430575121 & 5.23625 & 1.00069597627142 & 1.00383704194696 \tabularnewline
14 & 5.26 & 5.25131164488785 & 5.25541666666667 & 0.99921889698968 & 1.00165451142490 \tabularnewline
15 & 5.26 & 5.26654355401391 & 5.27458333333333 & 0.998475750820238 & 0.998757523991437 \tabularnewline
16 & 5.26 & 5.28244687079904 & 5.28958333333333 & 0.99865084599588 & 0.995750667948384 \tabularnewline
17 & 5.29 & 5.30304781391355 & 5.3 & 1.00057505922897 & 0.997539563215078 \tabularnewline
18 & 5.3 & 5.31177816711491 & 5.31 & 1.00033487139641 & 0.99778263196535 \tabularnewline
19 & 5.33 & 5.32449618739414 & 5.32 & 1.00084514800642 & 1.00103367763111 \tabularnewline
20 & 5.33 & 5.31197468862922 & 5.33 & 0.996618140455763 & 1.00339333532770 \tabularnewline
21 & 5.35 & 5.32447328653715 & 5.34041666666667 & 0.997014581235013 & 1.00479422321967 \tabularnewline
22 & 5.38 & 5.35300672590763 & 5.35125 & 1.00032828328103 & 1.0050426378061 \tabularnewline
23 & 5.38 & 5.38132738519214 & 5.36125 & 1.00374490747347 & 0.999753334986495 \tabularnewline
24 & 5.38 & 5.38878178360145 & 5.37 & 1.00349753884571 & 0.998370358282427 \tabularnewline
25 & 5.38 & 5.38082565574277 & 5.37708333333333 & 1.00069597627142 & 0.999846555938514 \tabularnewline
26 & 5.38 & 5.37871205425403 & 5.38291666666667 & 0.99921889698968 & 1.00023945244382 \tabularnewline
27 & 5.39 & 5.37970413910687 & 5.38791666666667 & 0.998475750820238 & 1.00191383403750 \tabularnewline
28 & 5.39 & 5.38397637347529 & 5.39125 & 0.99865084599588 & 1.00111880627010 \tabularnewline
29 & 5.4 & 5.39685172571627 & 5.39375 & 1.00057505922897 & 1.00058335385957 \tabularnewline
30 & 5.4 & 5.39805704977285 & 5.39625 & 1.00033487139641 & 1.00035993510429 \tabularnewline
31 & 5.4 & 5.40331274279964 & 5.39875 & 1.00084514800642 & 0.999386905226972 \tabularnewline
32 & 5.4 & 5.38298373113669 & 5.40125 & 0.996618140455763 & 1.00316112210499 \tabularnewline
33 & 5.4 & 5.3876175433487 & 5.40375 & 0.997014581235013 & 1.00229831767969 \tabularnewline
34 & 5.41 & 5.40802478148809 & 5.40625 & 1.00032828328103 & 1.00036523843579 \tabularnewline
35 & 5.41 & 5.42858704125235 & 5.40833333333333 & 1.00374490747347 & 0.99657608119551 \tabularnewline
36 & 5.41 & 5.42892168515528 & 5.41 & 1.00349753884571 & 0.996514651296772 \tabularnewline
37 & 5.41 & 5.41585001491227 & 5.41208333333333 & 1.00069597627142 & 0.998919834394203 \tabularnewline
38 & 5.41 & 5.41035398599204 & 5.41458333333333 & 0.99921889698968 & 0.999934572489535 \tabularnewline
39 & 5.42 & 5.40965841163148 & 5.41791666666667 & 0.998475750820238 & 1.00191168971894 \tabularnewline
40 & 5.42 & 5.41684863048932 & 5.42416666666667 & 0.99865084599588 & 1.00058177175063 \tabularnewline
41 & 5.42 & 5.4356240092614 & 5.4325 & 1.00057505922897 & 0.997125627299686 \tabularnewline
42 & 5.42 & 5.44265531278928 & 5.44083333333333 & 1.00033487139641 & 0.995837452220051 \tabularnewline
43 & 5.43 & 5.45377201901163 & 5.44916666666667 & 1.00084514800642 & 0.99564117844883 \tabularnewline
44 & 5.43 & 5.43904350153733 & 5.4575 & 0.996618140455763 & 0.998337299281616 \tabularnewline
45 & 5.45 & 5.44910010919152 & 5.46541666666667 & 0.997014581235013 & 1.00016514484785 \tabularnewline
46 & 5.51 & 5.47554694060956 & 5.47375 & 1.00032828328103 & 1.00629216766181 \tabularnewline
47 & 5.51 & 5.50344968226808 & 5.48291666666667 & 1.00374490747347 & 1.00119022033635 \tabularnewline
48 & 5.51 & 5.51129210813553 & 5.49208333333333 & 1.00349753884571 & 0.999765552594531 \tabularnewline
49 & 5.51 & 5.50466178280635 & 5.50083333333333 & 1.00069597627142 & 1.00096976297623 \tabularnewline
50 & 5.51 & 5.5044470987919 & 5.50875 & 0.99921889698968 & 1.00100880272050 \tabularnewline
51 & 5.51 & 5.5074258288993 & 5.51583333333333 & 0.998475750820238 & 1.00046740004871 \tabularnewline
52 & 5.53 & 5.51296877441643 & 5.52041666666667 & 0.99865084599588 & 1.00308930202228 \tabularnewline
53 & 5.53 & 5.52609267086668 & 5.52291666666667 & 1.00057505922897 & 1.00070706905693 \tabularnewline
54 & 5.53 & 5.5285173892508 & 5.52666666666667 & 1.00033487139641 & 1.00026817510823 \tabularnewline
55 & 5.53 & 5.53592472491049 & 5.53125 & 1.00084514800642 & 0.99892976779763 \tabularnewline
56 & 5.52 & 5.5171119225397 & 5.53583333333333 & 0.996618140455763 & 1.00052347632255 \tabularnewline
57 & 5.53 & 5.52470704826852 & 5.54125 & 0.997014581235013 & 1.00095805111208 \tabularnewline
58 & 5.54 & 5.54932115150154 & 5.5475 & 1.00032828328103 & 0.998320307791338 \tabularnewline
59 & 5.54 & 5.57705764214947 & 5.55625 & 1.00374490747347 & 0.993355341736222 \tabularnewline
60 & 5.57 & 5.587390671498 & 5.56791666666667 & 1.00349753884571 & 0.996887514670003 \tabularnewline
61 & 5.56 & 5.58471746090807 & 5.58083333333333 & 1.00069597627142 & 0.995574089274688 \tabularnewline
62 & 5.57 & 5.59062972865726 & 5.595 & 0.99921889698968 & 0.99630994545185 \tabularnewline
63 & 5.58 & 5.60186499366438 & 5.61041666666667 & 0.998475750820238 & 0.996096836733997 \tabularnewline
64 & 5.61 & 5.61782711324599 & 5.62541666666667 & 0.99865084599588 & 0.998606736539197 \tabularnewline
65 & 5.66 & 5.64199261522737 & 5.63875 & 1.00057505922897 & 1.00319167109933 \tabularnewline
66 & 5.68 & 5.6523088295861 & 5.65041666666667 & 1.00033487139641 & 1.00489909013268 \tabularnewline
67 & 5.69 & 5.666451612963 & 5.66166666666667 & 1.00084514800642 & 1.00415575542605 \tabularnewline
68 & 5.7 & NA & NA & 0.996618140455763 & NA \tabularnewline
69 & 5.72 & NA & NA & 0.997014581235013 & NA \tabularnewline
70 & 5.71 & NA & NA & 1.00032828328103 & NA \tabularnewline
71 & 5.69 & NA & NA & 1.00374490747347 & NA \tabularnewline
72 & 5.7 & NA & NA & 1.00349753884571 & NA \tabularnewline
73 & 5.7 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40760&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]5.11[/C][C]NA[/C][C]NA[/C][C]1.00069597627142[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5.11[/C][C]NA[/C][C]NA[/C][C]0.99921889698968[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5.11[/C][C]NA[/C][C]NA[/C][C]0.998475750820238[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5.1[/C][C]NA[/C][C]NA[/C][C]0.99865084599588[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5.1[/C][C]NA[/C][C]NA[/C][C]1.00057505922897[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5.1[/C][C]NA[/C][C]NA[/C][C]1.00033487139641[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5.1[/C][C]5.15393549342138[/C][C]5.14958333333333[/C][C]1.00084514800642[/C][C]0.989535085666046[/C][/ROW]
[ROW][C]8[/C][C]5.1[/C][C]5.14462589254435[/C][C]5.16208333333333[/C][C]0.996618140455763[/C][C]0.991325726403347[/C][/ROW]
[ROW][C]9[/C][C]5.12[/C][C]5.15913503514901[/C][C]5.17458333333333[/C][C]0.997014581235013[/C][C]0.992414419300448[/C][/ROW]
[ROW][C]10[/C][C]5.25[/C][C]5.18920296952037[/C][C]5.1875[/C][C]1.00032828328103[/C][C]1.01171606330235[/C][/ROW]
[ROW][C]11[/C][C]5.26[/C][C]5.22156465408595[/C][C]5.20208333333333[/C][C]1.00374490747347[/C][C]1.00736088671888[/C][/ROW]
[ROW][C]12[/C][C]5.26[/C][C]5.23658465687652[/C][C]5.21833333333333[/C][C]1.00349753884571[/C][C]1.00447149137420[/C][/ROW]
[ROW][C]13[/C][C]5.26[/C][C]5.23989430575121[/C][C]5.23625[/C][C]1.00069597627142[/C][C]1.00383704194696[/C][/ROW]
[ROW][C]14[/C][C]5.26[/C][C]5.25131164488785[/C][C]5.25541666666667[/C][C]0.99921889698968[/C][C]1.00165451142490[/C][/ROW]
[ROW][C]15[/C][C]5.26[/C][C]5.26654355401391[/C][C]5.27458333333333[/C][C]0.998475750820238[/C][C]0.998757523991437[/C][/ROW]
[ROW][C]16[/C][C]5.26[/C][C]5.28244687079904[/C][C]5.28958333333333[/C][C]0.99865084599588[/C][C]0.995750667948384[/C][/ROW]
[ROW][C]17[/C][C]5.29[/C][C]5.30304781391355[/C][C]5.3[/C][C]1.00057505922897[/C][C]0.997539563215078[/C][/ROW]
[ROW][C]18[/C][C]5.3[/C][C]5.31177816711491[/C][C]5.31[/C][C]1.00033487139641[/C][C]0.99778263196535[/C][/ROW]
[ROW][C]19[/C][C]5.33[/C][C]5.32449618739414[/C][C]5.32[/C][C]1.00084514800642[/C][C]1.00103367763111[/C][/ROW]
[ROW][C]20[/C][C]5.33[/C][C]5.31197468862922[/C][C]5.33[/C][C]0.996618140455763[/C][C]1.00339333532770[/C][/ROW]
[ROW][C]21[/C][C]5.35[/C][C]5.32447328653715[/C][C]5.34041666666667[/C][C]0.997014581235013[/C][C]1.00479422321967[/C][/ROW]
[ROW][C]22[/C][C]5.38[/C][C]5.35300672590763[/C][C]5.35125[/C][C]1.00032828328103[/C][C]1.0050426378061[/C][/ROW]
[ROW][C]23[/C][C]5.38[/C][C]5.38132738519214[/C][C]5.36125[/C][C]1.00374490747347[/C][C]0.999753334986495[/C][/ROW]
[ROW][C]24[/C][C]5.38[/C][C]5.38878178360145[/C][C]5.37[/C][C]1.00349753884571[/C][C]0.998370358282427[/C][/ROW]
[ROW][C]25[/C][C]5.38[/C][C]5.38082565574277[/C][C]5.37708333333333[/C][C]1.00069597627142[/C][C]0.999846555938514[/C][/ROW]
[ROW][C]26[/C][C]5.38[/C][C]5.37871205425403[/C][C]5.38291666666667[/C][C]0.99921889698968[/C][C]1.00023945244382[/C][/ROW]
[ROW][C]27[/C][C]5.39[/C][C]5.37970413910687[/C][C]5.38791666666667[/C][C]0.998475750820238[/C][C]1.00191383403750[/C][/ROW]
[ROW][C]28[/C][C]5.39[/C][C]5.38397637347529[/C][C]5.39125[/C][C]0.99865084599588[/C][C]1.00111880627010[/C][/ROW]
[ROW][C]29[/C][C]5.4[/C][C]5.39685172571627[/C][C]5.39375[/C][C]1.00057505922897[/C][C]1.00058335385957[/C][/ROW]
[ROW][C]30[/C][C]5.4[/C][C]5.39805704977285[/C][C]5.39625[/C][C]1.00033487139641[/C][C]1.00035993510429[/C][/ROW]
[ROW][C]31[/C][C]5.4[/C][C]5.40331274279964[/C][C]5.39875[/C][C]1.00084514800642[/C][C]0.999386905226972[/C][/ROW]
[ROW][C]32[/C][C]5.4[/C][C]5.38298373113669[/C][C]5.40125[/C][C]0.996618140455763[/C][C]1.00316112210499[/C][/ROW]
[ROW][C]33[/C][C]5.4[/C][C]5.3876175433487[/C][C]5.40375[/C][C]0.997014581235013[/C][C]1.00229831767969[/C][/ROW]
[ROW][C]34[/C][C]5.41[/C][C]5.40802478148809[/C][C]5.40625[/C][C]1.00032828328103[/C][C]1.00036523843579[/C][/ROW]
[ROW][C]35[/C][C]5.41[/C][C]5.42858704125235[/C][C]5.40833333333333[/C][C]1.00374490747347[/C][C]0.99657608119551[/C][/ROW]
[ROW][C]36[/C][C]5.41[/C][C]5.42892168515528[/C][C]5.41[/C][C]1.00349753884571[/C][C]0.996514651296772[/C][/ROW]
[ROW][C]37[/C][C]5.41[/C][C]5.41585001491227[/C][C]5.41208333333333[/C][C]1.00069597627142[/C][C]0.998919834394203[/C][/ROW]
[ROW][C]38[/C][C]5.41[/C][C]5.41035398599204[/C][C]5.41458333333333[/C][C]0.99921889698968[/C][C]0.999934572489535[/C][/ROW]
[ROW][C]39[/C][C]5.42[/C][C]5.40965841163148[/C][C]5.41791666666667[/C][C]0.998475750820238[/C][C]1.00191168971894[/C][/ROW]
[ROW][C]40[/C][C]5.42[/C][C]5.41684863048932[/C][C]5.42416666666667[/C][C]0.99865084599588[/C][C]1.00058177175063[/C][/ROW]
[ROW][C]41[/C][C]5.42[/C][C]5.4356240092614[/C][C]5.4325[/C][C]1.00057505922897[/C][C]0.997125627299686[/C][/ROW]
[ROW][C]42[/C][C]5.42[/C][C]5.44265531278928[/C][C]5.44083333333333[/C][C]1.00033487139641[/C][C]0.995837452220051[/C][/ROW]
[ROW][C]43[/C][C]5.43[/C][C]5.45377201901163[/C][C]5.44916666666667[/C][C]1.00084514800642[/C][C]0.99564117844883[/C][/ROW]
[ROW][C]44[/C][C]5.43[/C][C]5.43904350153733[/C][C]5.4575[/C][C]0.996618140455763[/C][C]0.998337299281616[/C][/ROW]
[ROW][C]45[/C][C]5.45[/C][C]5.44910010919152[/C][C]5.46541666666667[/C][C]0.997014581235013[/C][C]1.00016514484785[/C][/ROW]
[ROW][C]46[/C][C]5.51[/C][C]5.47554694060956[/C][C]5.47375[/C][C]1.00032828328103[/C][C]1.00629216766181[/C][/ROW]
[ROW][C]47[/C][C]5.51[/C][C]5.50344968226808[/C][C]5.48291666666667[/C][C]1.00374490747347[/C][C]1.00119022033635[/C][/ROW]
[ROW][C]48[/C][C]5.51[/C][C]5.51129210813553[/C][C]5.49208333333333[/C][C]1.00349753884571[/C][C]0.999765552594531[/C][/ROW]
[ROW][C]49[/C][C]5.51[/C][C]5.50466178280635[/C][C]5.50083333333333[/C][C]1.00069597627142[/C][C]1.00096976297623[/C][/ROW]
[ROW][C]50[/C][C]5.51[/C][C]5.5044470987919[/C][C]5.50875[/C][C]0.99921889698968[/C][C]1.00100880272050[/C][/ROW]
[ROW][C]51[/C][C]5.51[/C][C]5.5074258288993[/C][C]5.51583333333333[/C][C]0.998475750820238[/C][C]1.00046740004871[/C][/ROW]
[ROW][C]52[/C][C]5.53[/C][C]5.51296877441643[/C][C]5.52041666666667[/C][C]0.99865084599588[/C][C]1.00308930202228[/C][/ROW]
[ROW][C]53[/C][C]5.53[/C][C]5.52609267086668[/C][C]5.52291666666667[/C][C]1.00057505922897[/C][C]1.00070706905693[/C][/ROW]
[ROW][C]54[/C][C]5.53[/C][C]5.5285173892508[/C][C]5.52666666666667[/C][C]1.00033487139641[/C][C]1.00026817510823[/C][/ROW]
[ROW][C]55[/C][C]5.53[/C][C]5.53592472491049[/C][C]5.53125[/C][C]1.00084514800642[/C][C]0.99892976779763[/C][/ROW]
[ROW][C]56[/C][C]5.52[/C][C]5.5171119225397[/C][C]5.53583333333333[/C][C]0.996618140455763[/C][C]1.00052347632255[/C][/ROW]
[ROW][C]57[/C][C]5.53[/C][C]5.52470704826852[/C][C]5.54125[/C][C]0.997014581235013[/C][C]1.00095805111208[/C][/ROW]
[ROW][C]58[/C][C]5.54[/C][C]5.54932115150154[/C][C]5.5475[/C][C]1.00032828328103[/C][C]0.998320307791338[/C][/ROW]
[ROW][C]59[/C][C]5.54[/C][C]5.57705764214947[/C][C]5.55625[/C][C]1.00374490747347[/C][C]0.993355341736222[/C][/ROW]
[ROW][C]60[/C][C]5.57[/C][C]5.587390671498[/C][C]5.56791666666667[/C][C]1.00349753884571[/C][C]0.996887514670003[/C][/ROW]
[ROW][C]61[/C][C]5.56[/C][C]5.58471746090807[/C][C]5.58083333333333[/C][C]1.00069597627142[/C][C]0.995574089274688[/C][/ROW]
[ROW][C]62[/C][C]5.57[/C][C]5.59062972865726[/C][C]5.595[/C][C]0.99921889698968[/C][C]0.99630994545185[/C][/ROW]
[ROW][C]63[/C][C]5.58[/C][C]5.60186499366438[/C][C]5.61041666666667[/C][C]0.998475750820238[/C][C]0.996096836733997[/C][/ROW]
[ROW][C]64[/C][C]5.61[/C][C]5.61782711324599[/C][C]5.62541666666667[/C][C]0.99865084599588[/C][C]0.998606736539197[/C][/ROW]
[ROW][C]65[/C][C]5.66[/C][C]5.64199261522737[/C][C]5.63875[/C][C]1.00057505922897[/C][C]1.00319167109933[/C][/ROW]
[ROW][C]66[/C][C]5.68[/C][C]5.6523088295861[/C][C]5.65041666666667[/C][C]1.00033487139641[/C][C]1.00489909013268[/C][/ROW]
[ROW][C]67[/C][C]5.69[/C][C]5.666451612963[/C][C]5.66166666666667[/C][C]1.00084514800642[/C][C]1.00415575542605[/C][/ROW]
[ROW][C]68[/C][C]5.7[/C][C]NA[/C][C]NA[/C][C]0.996618140455763[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]5.72[/C][C]NA[/C][C]NA[/C][C]0.997014581235013[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]5.71[/C][C]NA[/C][C]NA[/C][C]1.00032828328103[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]5.69[/C][C]NA[/C][C]NA[/C][C]1.00374490747347[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]5.7[/C][C]NA[/C][C]NA[/C][C]1.00349753884571[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]5.7[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40760&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40760&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	5.11	NA	NA	1.00069597627142	NA
2	5.11	NA	NA	0.99921889698968	NA
3	5.11	NA	NA	0.998475750820238	NA
4	5.1	NA	NA	0.99865084599588	NA
5	5.1	NA	NA	1.00057505922897	NA
6	5.1	NA	NA	1.00033487139641	NA
7	5.1	5.15393549342138	5.14958333333333	1.00084514800642	0.989535085666046
8	5.1	5.14462589254435	5.16208333333333	0.996618140455763	0.991325726403347
9	5.12	5.15913503514901	5.17458333333333	0.997014581235013	0.992414419300448
10	5.25	5.18920296952037	5.1875	1.00032828328103	1.01171606330235
11	5.26	5.22156465408595	5.20208333333333	1.00374490747347	1.00736088671888
12	5.26	5.23658465687652	5.21833333333333	1.00349753884571	1.00447149137420
13	5.26	5.23989430575121	5.23625	1.00069597627142	1.00383704194696
14	5.26	5.25131164488785	5.25541666666667	0.99921889698968	1.00165451142490
15	5.26	5.26654355401391	5.27458333333333	0.998475750820238	0.998757523991437
16	5.26	5.28244687079904	5.28958333333333	0.99865084599588	0.995750667948384
17	5.29	5.30304781391355	5.3	1.00057505922897	0.997539563215078
18	5.3	5.31177816711491	5.31	1.00033487139641	0.99778263196535
19	5.33	5.32449618739414	5.32	1.00084514800642	1.00103367763111
20	5.33	5.31197468862922	5.33	0.996618140455763	1.00339333532770
21	5.35	5.32447328653715	5.34041666666667	0.997014581235013	1.00479422321967
22	5.38	5.35300672590763	5.35125	1.00032828328103	1.0050426378061
23	5.38	5.38132738519214	5.36125	1.00374490747347	0.999753334986495
24	5.38	5.38878178360145	5.37	1.00349753884571	0.998370358282427
25	5.38	5.38082565574277	5.37708333333333	1.00069597627142	0.999846555938514
26	5.38	5.37871205425403	5.38291666666667	0.99921889698968	1.00023945244382
27	5.39	5.37970413910687	5.38791666666667	0.998475750820238	1.00191383403750
28	5.39	5.38397637347529	5.39125	0.99865084599588	1.00111880627010
29	5.4	5.39685172571627	5.39375	1.00057505922897	1.00058335385957
30	5.4	5.39805704977285	5.39625	1.00033487139641	1.00035993510429
31	5.4	5.40331274279964	5.39875	1.00084514800642	0.999386905226972
32	5.4	5.38298373113669	5.40125	0.996618140455763	1.00316112210499
33	5.4	5.3876175433487	5.40375	0.997014581235013	1.00229831767969
34	5.41	5.40802478148809	5.40625	1.00032828328103	1.00036523843579
35	5.41	5.42858704125235	5.40833333333333	1.00374490747347	0.99657608119551
36	5.41	5.42892168515528	5.41	1.00349753884571	0.996514651296772
37	5.41	5.41585001491227	5.41208333333333	1.00069597627142	0.998919834394203
38	5.41	5.41035398599204	5.41458333333333	0.99921889698968	0.999934572489535
39	5.42	5.40965841163148	5.41791666666667	0.998475750820238	1.00191168971894
40	5.42	5.41684863048932	5.42416666666667	0.99865084599588	1.00058177175063
41	5.42	5.4356240092614	5.4325	1.00057505922897	0.997125627299686
42	5.42	5.44265531278928	5.44083333333333	1.00033487139641	0.995837452220051
43	5.43	5.45377201901163	5.44916666666667	1.00084514800642	0.99564117844883
44	5.43	5.43904350153733	5.4575	0.996618140455763	0.998337299281616
45	5.45	5.44910010919152	5.46541666666667	0.997014581235013	1.00016514484785
46	5.51	5.47554694060956	5.47375	1.00032828328103	1.00629216766181
47	5.51	5.50344968226808	5.48291666666667	1.00374490747347	1.00119022033635
48	5.51	5.51129210813553	5.49208333333333	1.00349753884571	0.999765552594531
49	5.51	5.50466178280635	5.50083333333333	1.00069597627142	1.00096976297623
50	5.51	5.5044470987919	5.50875	0.99921889698968	1.00100880272050
51	5.51	5.5074258288993	5.51583333333333	0.998475750820238	1.00046740004871
52	5.53	5.51296877441643	5.52041666666667	0.99865084599588	1.00308930202228
53	5.53	5.52609267086668	5.52291666666667	1.00057505922897	1.00070706905693
54	5.53	5.5285173892508	5.52666666666667	1.00033487139641	1.00026817510823
55	5.53	5.53592472491049	5.53125	1.00084514800642	0.99892976779763
56	5.52	5.5171119225397	5.53583333333333	0.996618140455763	1.00052347632255
57	5.53	5.52470704826852	5.54125	0.997014581235013	1.00095805111208
58	5.54	5.54932115150154	5.5475	1.00032828328103	0.998320307791338
59	5.54	5.57705764214947	5.55625	1.00374490747347	0.993355341736222
60	5.57	5.587390671498	5.56791666666667	1.00349753884571	0.996887514670003
61	5.56	5.58471746090807	5.58083333333333	1.00069597627142	0.995574089274688
62	5.57	5.59062972865726	5.595	0.99921889698968	0.99630994545185
63	5.58	5.60186499366438	5.61041666666667	0.998475750820238	0.996096836733997
64	5.61	5.61782711324599	5.62541666666667	0.99865084599588	0.998606736539197
65	5.66	5.64199261522737	5.63875	1.00057505922897	1.00319167109933
66	5.68	5.6523088295861	5.65041666666667	1.00033487139641	1.00489909013268
67	5.69	5.666451612963	5.66166666666667	1.00084514800642	1.00415575542605
68	5.7	NA	NA	0.996618140455763	NA
69	5.72	NA	NA	0.997014581235013	NA
70	5.71	NA	NA	1.00032828328103	NA
71	5.69	NA	NA	1.00374490747347	NA
72	5.7	NA	NA	1.00349753884571	NA
73	5.7	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 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; 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