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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 29 May 2012 04:52:50 -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/29/t1338281634xa0fzw9yzwet2a2.htm/, Retrieved Mon, 29 Apr 2024 21:03:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167950, Retrieved Mon, 29 Apr 2024 21:03:41 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

119

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

-       [Classical Decomposition] [Opgave 9 oef 2 (2)] [2012-05-29 08:52:50] [919141dca056cde38faaf6352f12d0de] [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=167950&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=167950&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167950&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	115.43	NA	NA	1.00015303552513	NA
2	115.55	NA	NA	1.00757339872484	NA
3	117.14	NA	NA	1.00530865578045	NA
4	119.09	NA	NA	1.00816801399895	NA
5	119.55	NA	NA	1.00663331242086	NA
6	119.8	NA	NA	1.001783088595	NA
7	121.32	118.672468665004	118.99875	0.997258111240696	1.0223095665303
8	121.48	119.023074289024	119.32	0.997511517675361	1.02064243194567
9	119.63	118.900460302236	119.485416666667	0.995104370217312	1.00613571802758
10	118.61	118.142061443786	119.372083333333	0.989695899952485	1.00396081252092
11	118.82	118.417713777583	119.095833333333	0.994306101760485	1.00339717943865
12	119.93	118.265568570995	118.680416666667	0.996504494108435	1.01407367714134
13	118.7	118.19266824275	118.174583333333	1.00015303552513	1.00429241309797
14	119.99	118.54730769372	117.65625	1.00757339872484	1.01216976019403
15	116.67	117.908882329029	117.28625	1.00530865578045	0.989492883788244
16	116.84	118.126206060246	117.169166666667	1.00816801399895	0.98911159425886
17	115.17	118.239568307501	117.460416666667	1.00663331242086	0.974039415472846
18	114.21	118.266754752943	118.05625	1.001783088595	0.96569826608147
19	114.77	118.561939224341	118.887916666667	0.997258111240696	0.968017230072746
20	115.59	119.845605661307	120.144583333333	0.997511517675361	0.964490932831248
21	116.64	121.440049580395	122.0375	0.995104370217312	0.960473916167026
22	118.79	123.130128779547	124.412083333333	0.989695899952485	0.964751691380771
23	125.63	126.41069195311	127.134583333333	0.994306101760485	0.993824162014715
24	127.42	129.947092503181	130.402916666667	0.996504494108435	0.980552912308375
25	131.17	134.005087734403	133.984583333333	1.00015303552513	0.978843432123848
26	137.68	138.451500363279	137.410833333333	1.00757339872484	0.99442764895104
27	144.41	141.493004515032	140.745833333333	1.00530865578045	1.02061582828752
28	146.09	145.149309535476	143.973333333333	1.00816801399895	1.00648084698119
29	151.26	147.499462685748	146.5275	1.00663331242086	1.02549526110657
30	156.56	148.753101186991	148.488333333333	1.001783088595	1.05248225919805
31	158.38	149.700492699406	150.112083333333	0.997258111240696	1.05797914986173
32	154.21	150.70985890758	151.085833333333	0.997511517675361	1.02322436712363
33	158.06	150.19151722372	150.930416666667	0.995104370217312	1.05238966169148
34	154.83	148.456034486039	150.001666666667	0.989695899952485	1.04293503821537
35	150.89	147.758029663699	148.604166666667	0.994306101760485	1.02119661681622
36	149.22	145.816426571858	146.327916666667	0.996504494108435	1.02334149524961
37	148.34	143.44361527674	143.421666666667	1.00015303552513	1.03413456021597
38	143.88	141.834428049498	140.768333333333	1.00757339872484	1.01442225261266
39	134.48	138.907266876644	138.17375	1.00530865578045	0.968127895853172
40	133.73	136.534093785849	135.427916666667	1.00816801399895	0.979462318106077
41	130.08	133.964858369702	133.082083333333	1.00663331242086	0.971000914590741
42	123.11	131.307883518349	131.074166666667	1.001783088595	0.937567468923497
43	122.08	128.96583446986	129.320416666667	0.997258111240696	0.946607297210417
44	126.83	127.627858018371	127.94625	0.997511517675361	0.99374855904691
45	123.17	126.720322144861	127.34375	0.995104370217312	0.971983008843662
46	123.82	126.131793969444	127.445	0.989695899952485	0.981671600024935
47	125.6	127.189979360365	127.918333333333	0.994306101760485	0.987499177463815
48	126.32	128.46022475593	128.910833333333	0.996504494108435	0.983339397389375
49	129.15	130.23659444263	130.216666666667	1.00015303552513	0.991656765540588
50	130.09	132.357780412241	131.362916666667	1.00757339872484	0.982866285569475
51	133.81	133.325709444029	132.621666666667	1.00530865578045	1.00363238686665
52	136.83	135.262541878193	134.166666666667	1.00816801399895	1.01158826457083
53	138.34	136.571619218325	135.671666666667	1.00663331242086	1.01294837676961
54	138.67	137.473441019031	137.22875	1.001783088595	1.00870392835226
55	137.86	138.452252253037	138.832916666667	0.997258111240696	0.995722335726583
56	138.56	140.167824684948	140.5175	0.997511517675361	0.988529288454313
57	141.65	141.699130677557	142.39625	0.995104370217312	0.999653274672033
58	142.42	142.803221404144	144.29	0.989695899952485	0.997316437259777
59	143.12	145.341037248003	146.173333333333	0.994306101760485	0.984718443668372
60	146.17	147.746738818987	148.265	0.996504494108435	0.989328097313073
61	147.8	150.55386989846	150.530833333333	1.00015303552513	0.981708408423393
62	151.87	153.909355588716	152.7525	1.00757339872484	0.98674963207457
63	157.12	155.754564433098	154.932083333333	1.00530865578045	1.00876658460619
64	158.97	158.337827438605	157.055	1.00816801399895	1.00399255548482
65	161.4	160.253926184667	159.197916666667	1.00663331242086	1.007151611462
66	165.81	161.579263997969	161.291666666667	1.001783088595	1.02618365684649
67	165.1	NA	NA	0.997258111240696	NA
68	164.64	NA	NA	0.997511517675361	NA
69	167.88	NA	NA	0.995104370217312	NA
70	167.14	NA	NA	0.989695899952485	NA
71	169.83	NA	NA	0.994306101760485	NA
72	169.71	NA	NA	0.996504494108435	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 115.43 & NA & NA & 1.00015303552513 & NA \tabularnewline
2 & 115.55 & NA & NA & 1.00757339872484 & NA \tabularnewline
3 & 117.14 & NA & NA & 1.00530865578045 & NA \tabularnewline
4 & 119.09 & NA & NA & 1.00816801399895 & NA \tabularnewline
5 & 119.55 & NA & NA & 1.00663331242086 & NA \tabularnewline
6 & 119.8 & NA & NA & 1.001783088595 & NA \tabularnewline
7 & 121.32 & 118.672468665004 & 118.99875 & 0.997258111240696 & 1.0223095665303 \tabularnewline
8 & 121.48 & 119.023074289024 & 119.32 & 0.997511517675361 & 1.02064243194567 \tabularnewline
9 & 119.63 & 118.900460302236 & 119.485416666667 & 0.995104370217312 & 1.00613571802758 \tabularnewline
10 & 118.61 & 118.142061443786 & 119.372083333333 & 0.989695899952485 & 1.00396081252092 \tabularnewline
11 & 118.82 & 118.417713777583 & 119.095833333333 & 0.994306101760485 & 1.00339717943865 \tabularnewline
12 & 119.93 & 118.265568570995 & 118.680416666667 & 0.996504494108435 & 1.01407367714134 \tabularnewline
13 & 118.7 & 118.19266824275 & 118.174583333333 & 1.00015303552513 & 1.00429241309797 \tabularnewline
14 & 119.99 & 118.54730769372 & 117.65625 & 1.00757339872484 & 1.01216976019403 \tabularnewline
15 & 116.67 & 117.908882329029 & 117.28625 & 1.00530865578045 & 0.989492883788244 \tabularnewline
16 & 116.84 & 118.126206060246 & 117.169166666667 & 1.00816801399895 & 0.98911159425886 \tabularnewline
17 & 115.17 & 118.239568307501 & 117.460416666667 & 1.00663331242086 & 0.974039415472846 \tabularnewline
18 & 114.21 & 118.266754752943 & 118.05625 & 1.001783088595 & 0.96569826608147 \tabularnewline
19 & 114.77 & 118.561939224341 & 118.887916666667 & 0.997258111240696 & 0.968017230072746 \tabularnewline
20 & 115.59 & 119.845605661307 & 120.144583333333 & 0.997511517675361 & 0.964490932831248 \tabularnewline
21 & 116.64 & 121.440049580395 & 122.0375 & 0.995104370217312 & 0.960473916167026 \tabularnewline
22 & 118.79 & 123.130128779547 & 124.412083333333 & 0.989695899952485 & 0.964751691380771 \tabularnewline
23 & 125.63 & 126.41069195311 & 127.134583333333 & 0.994306101760485 & 0.993824162014715 \tabularnewline
24 & 127.42 & 129.947092503181 & 130.402916666667 & 0.996504494108435 & 0.980552912308375 \tabularnewline
25 & 131.17 & 134.005087734403 & 133.984583333333 & 1.00015303552513 & 0.978843432123848 \tabularnewline
26 & 137.68 & 138.451500363279 & 137.410833333333 & 1.00757339872484 & 0.99442764895104 \tabularnewline
27 & 144.41 & 141.493004515032 & 140.745833333333 & 1.00530865578045 & 1.02061582828752 \tabularnewline
28 & 146.09 & 145.149309535476 & 143.973333333333 & 1.00816801399895 & 1.00648084698119 \tabularnewline
29 & 151.26 & 147.499462685748 & 146.5275 & 1.00663331242086 & 1.02549526110657 \tabularnewline
30 & 156.56 & 148.753101186991 & 148.488333333333 & 1.001783088595 & 1.05248225919805 \tabularnewline
31 & 158.38 & 149.700492699406 & 150.112083333333 & 0.997258111240696 & 1.05797914986173 \tabularnewline
32 & 154.21 & 150.70985890758 & 151.085833333333 & 0.997511517675361 & 1.02322436712363 \tabularnewline
33 & 158.06 & 150.19151722372 & 150.930416666667 & 0.995104370217312 & 1.05238966169148 \tabularnewline
34 & 154.83 & 148.456034486039 & 150.001666666667 & 0.989695899952485 & 1.04293503821537 \tabularnewline
35 & 150.89 & 147.758029663699 & 148.604166666667 & 0.994306101760485 & 1.02119661681622 \tabularnewline
36 & 149.22 & 145.816426571858 & 146.327916666667 & 0.996504494108435 & 1.02334149524961 \tabularnewline
37 & 148.34 & 143.44361527674 & 143.421666666667 & 1.00015303552513 & 1.03413456021597 \tabularnewline
38 & 143.88 & 141.834428049498 & 140.768333333333 & 1.00757339872484 & 1.01442225261266 \tabularnewline
39 & 134.48 & 138.907266876644 & 138.17375 & 1.00530865578045 & 0.968127895853172 \tabularnewline
40 & 133.73 & 136.534093785849 & 135.427916666667 & 1.00816801399895 & 0.979462318106077 \tabularnewline
41 & 130.08 & 133.964858369702 & 133.082083333333 & 1.00663331242086 & 0.971000914590741 \tabularnewline
42 & 123.11 & 131.307883518349 & 131.074166666667 & 1.001783088595 & 0.937567468923497 \tabularnewline
43 & 122.08 & 128.96583446986 & 129.320416666667 & 0.997258111240696 & 0.946607297210417 \tabularnewline
44 & 126.83 & 127.627858018371 & 127.94625 & 0.997511517675361 & 0.99374855904691 \tabularnewline
45 & 123.17 & 126.720322144861 & 127.34375 & 0.995104370217312 & 0.971983008843662 \tabularnewline
46 & 123.82 & 126.131793969444 & 127.445 & 0.989695899952485 & 0.981671600024935 \tabularnewline
47 & 125.6 & 127.189979360365 & 127.918333333333 & 0.994306101760485 & 0.987499177463815 \tabularnewline
48 & 126.32 & 128.46022475593 & 128.910833333333 & 0.996504494108435 & 0.983339397389375 \tabularnewline
49 & 129.15 & 130.23659444263 & 130.216666666667 & 1.00015303552513 & 0.991656765540588 \tabularnewline
50 & 130.09 & 132.357780412241 & 131.362916666667 & 1.00757339872484 & 0.982866285569475 \tabularnewline
51 & 133.81 & 133.325709444029 & 132.621666666667 & 1.00530865578045 & 1.00363238686665 \tabularnewline
52 & 136.83 & 135.262541878193 & 134.166666666667 & 1.00816801399895 & 1.01158826457083 \tabularnewline
53 & 138.34 & 136.571619218325 & 135.671666666667 & 1.00663331242086 & 1.01294837676961 \tabularnewline
54 & 138.67 & 137.473441019031 & 137.22875 & 1.001783088595 & 1.00870392835226 \tabularnewline
55 & 137.86 & 138.452252253037 & 138.832916666667 & 0.997258111240696 & 0.995722335726583 \tabularnewline
56 & 138.56 & 140.167824684948 & 140.5175 & 0.997511517675361 & 0.988529288454313 \tabularnewline
57 & 141.65 & 141.699130677557 & 142.39625 & 0.995104370217312 & 0.999653274672033 \tabularnewline
58 & 142.42 & 142.803221404144 & 144.29 & 0.989695899952485 & 0.997316437259777 \tabularnewline
59 & 143.12 & 145.341037248003 & 146.173333333333 & 0.994306101760485 & 0.984718443668372 \tabularnewline
60 & 146.17 & 147.746738818987 & 148.265 & 0.996504494108435 & 0.989328097313073 \tabularnewline
61 & 147.8 & 150.55386989846 & 150.530833333333 & 1.00015303552513 & 0.981708408423393 \tabularnewline
62 & 151.87 & 153.909355588716 & 152.7525 & 1.00757339872484 & 0.98674963207457 \tabularnewline
63 & 157.12 & 155.754564433098 & 154.932083333333 & 1.00530865578045 & 1.00876658460619 \tabularnewline
64 & 158.97 & 158.337827438605 & 157.055 & 1.00816801399895 & 1.00399255548482 \tabularnewline
65 & 161.4 & 160.253926184667 & 159.197916666667 & 1.00663331242086 & 1.007151611462 \tabularnewline
66 & 165.81 & 161.579263997969 & 161.291666666667 & 1.001783088595 & 1.02618365684649 \tabularnewline
67 & 165.1 & NA & NA & 0.997258111240696 & NA \tabularnewline
68 & 164.64 & NA & NA & 0.997511517675361 & NA \tabularnewline
69 & 167.88 & NA & NA & 0.995104370217312 & NA \tabularnewline
70 & 167.14 & NA & NA & 0.989695899952485 & NA \tabularnewline
71 & 169.83 & NA & NA & 0.994306101760485 & NA \tabularnewline
72 & 169.71 & NA & NA & 0.996504494108435 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167950&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]115.43[/C][C]NA[/C][C]NA[/C][C]1.00015303552513[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]115.55[/C][C]NA[/C][C]NA[/C][C]1.00757339872484[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]117.14[/C][C]NA[/C][C]NA[/C][C]1.00530865578045[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]119.09[/C][C]NA[/C][C]NA[/C][C]1.00816801399895[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]119.55[/C][C]NA[/C][C]NA[/C][C]1.00663331242086[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]119.8[/C][C]NA[/C][C]NA[/C][C]1.001783088595[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]121.32[/C][C]118.672468665004[/C][C]118.99875[/C][C]0.997258111240696[/C][C]1.0223095665303[/C][/ROW]
[ROW][C]8[/C][C]121.48[/C][C]119.023074289024[/C][C]119.32[/C][C]0.997511517675361[/C][C]1.02064243194567[/C][/ROW]
[ROW][C]9[/C][C]119.63[/C][C]118.900460302236[/C][C]119.485416666667[/C][C]0.995104370217312[/C][C]1.00613571802758[/C][/ROW]
[ROW][C]10[/C][C]118.61[/C][C]118.142061443786[/C][C]119.372083333333[/C][C]0.989695899952485[/C][C]1.00396081252092[/C][/ROW]
[ROW][C]11[/C][C]118.82[/C][C]118.417713777583[/C][C]119.095833333333[/C][C]0.994306101760485[/C][C]1.00339717943865[/C][/ROW]
[ROW][C]12[/C][C]119.93[/C][C]118.265568570995[/C][C]118.680416666667[/C][C]0.996504494108435[/C][C]1.01407367714134[/C][/ROW]
[ROW][C]13[/C][C]118.7[/C][C]118.19266824275[/C][C]118.174583333333[/C][C]1.00015303552513[/C][C]1.00429241309797[/C][/ROW]
[ROW][C]14[/C][C]119.99[/C][C]118.54730769372[/C][C]117.65625[/C][C]1.00757339872484[/C][C]1.01216976019403[/C][/ROW]
[ROW][C]15[/C][C]116.67[/C][C]117.908882329029[/C][C]117.28625[/C][C]1.00530865578045[/C][C]0.989492883788244[/C][/ROW]
[ROW][C]16[/C][C]116.84[/C][C]118.126206060246[/C][C]117.169166666667[/C][C]1.00816801399895[/C][C]0.98911159425886[/C][/ROW]
[ROW][C]17[/C][C]115.17[/C][C]118.239568307501[/C][C]117.460416666667[/C][C]1.00663331242086[/C][C]0.974039415472846[/C][/ROW]
[ROW][C]18[/C][C]114.21[/C][C]118.266754752943[/C][C]118.05625[/C][C]1.001783088595[/C][C]0.96569826608147[/C][/ROW]
[ROW][C]19[/C][C]114.77[/C][C]118.561939224341[/C][C]118.887916666667[/C][C]0.997258111240696[/C][C]0.968017230072746[/C][/ROW]
[ROW][C]20[/C][C]115.59[/C][C]119.845605661307[/C][C]120.144583333333[/C][C]0.997511517675361[/C][C]0.964490932831248[/C][/ROW]
[ROW][C]21[/C][C]116.64[/C][C]121.440049580395[/C][C]122.0375[/C][C]0.995104370217312[/C][C]0.960473916167026[/C][/ROW]
[ROW][C]22[/C][C]118.79[/C][C]123.130128779547[/C][C]124.412083333333[/C][C]0.989695899952485[/C][C]0.964751691380771[/C][/ROW]
[ROW][C]23[/C][C]125.63[/C][C]126.41069195311[/C][C]127.134583333333[/C][C]0.994306101760485[/C][C]0.993824162014715[/C][/ROW]
[ROW][C]24[/C][C]127.42[/C][C]129.947092503181[/C][C]130.402916666667[/C][C]0.996504494108435[/C][C]0.980552912308375[/C][/ROW]
[ROW][C]25[/C][C]131.17[/C][C]134.005087734403[/C][C]133.984583333333[/C][C]1.00015303552513[/C][C]0.978843432123848[/C][/ROW]
[ROW][C]26[/C][C]137.68[/C][C]138.451500363279[/C][C]137.410833333333[/C][C]1.00757339872484[/C][C]0.99442764895104[/C][/ROW]
[ROW][C]27[/C][C]144.41[/C][C]141.493004515032[/C][C]140.745833333333[/C][C]1.00530865578045[/C][C]1.02061582828752[/C][/ROW]
[ROW][C]28[/C][C]146.09[/C][C]145.149309535476[/C][C]143.973333333333[/C][C]1.00816801399895[/C][C]1.00648084698119[/C][/ROW]
[ROW][C]29[/C][C]151.26[/C][C]147.499462685748[/C][C]146.5275[/C][C]1.00663331242086[/C][C]1.02549526110657[/C][/ROW]
[ROW][C]30[/C][C]156.56[/C][C]148.753101186991[/C][C]148.488333333333[/C][C]1.001783088595[/C][C]1.05248225919805[/C][/ROW]
[ROW][C]31[/C][C]158.38[/C][C]149.700492699406[/C][C]150.112083333333[/C][C]0.997258111240696[/C][C]1.05797914986173[/C][/ROW]
[ROW][C]32[/C][C]154.21[/C][C]150.70985890758[/C][C]151.085833333333[/C][C]0.997511517675361[/C][C]1.02322436712363[/C][/ROW]
[ROW][C]33[/C][C]158.06[/C][C]150.19151722372[/C][C]150.930416666667[/C][C]0.995104370217312[/C][C]1.05238966169148[/C][/ROW]
[ROW][C]34[/C][C]154.83[/C][C]148.456034486039[/C][C]150.001666666667[/C][C]0.989695899952485[/C][C]1.04293503821537[/C][/ROW]
[ROW][C]35[/C][C]150.89[/C][C]147.758029663699[/C][C]148.604166666667[/C][C]0.994306101760485[/C][C]1.02119661681622[/C][/ROW]
[ROW][C]36[/C][C]149.22[/C][C]145.816426571858[/C][C]146.327916666667[/C][C]0.996504494108435[/C][C]1.02334149524961[/C][/ROW]
[ROW][C]37[/C][C]148.34[/C][C]143.44361527674[/C][C]143.421666666667[/C][C]1.00015303552513[/C][C]1.03413456021597[/C][/ROW]
[ROW][C]38[/C][C]143.88[/C][C]141.834428049498[/C][C]140.768333333333[/C][C]1.00757339872484[/C][C]1.01442225261266[/C][/ROW]
[ROW][C]39[/C][C]134.48[/C][C]138.907266876644[/C][C]138.17375[/C][C]1.00530865578045[/C][C]0.968127895853172[/C][/ROW]
[ROW][C]40[/C][C]133.73[/C][C]136.534093785849[/C][C]135.427916666667[/C][C]1.00816801399895[/C][C]0.979462318106077[/C][/ROW]
[ROW][C]41[/C][C]130.08[/C][C]133.964858369702[/C][C]133.082083333333[/C][C]1.00663331242086[/C][C]0.971000914590741[/C][/ROW]
[ROW][C]42[/C][C]123.11[/C][C]131.307883518349[/C][C]131.074166666667[/C][C]1.001783088595[/C][C]0.937567468923497[/C][/ROW]
[ROW][C]43[/C][C]122.08[/C][C]128.96583446986[/C][C]129.320416666667[/C][C]0.997258111240696[/C][C]0.946607297210417[/C][/ROW]
[ROW][C]44[/C][C]126.83[/C][C]127.627858018371[/C][C]127.94625[/C][C]0.997511517675361[/C][C]0.99374855904691[/C][/ROW]
[ROW][C]45[/C][C]123.17[/C][C]126.720322144861[/C][C]127.34375[/C][C]0.995104370217312[/C][C]0.971983008843662[/C][/ROW]
[ROW][C]46[/C][C]123.82[/C][C]126.131793969444[/C][C]127.445[/C][C]0.989695899952485[/C][C]0.981671600024935[/C][/ROW]
[ROW][C]47[/C][C]125.6[/C][C]127.189979360365[/C][C]127.918333333333[/C][C]0.994306101760485[/C][C]0.987499177463815[/C][/ROW]
[ROW][C]48[/C][C]126.32[/C][C]128.46022475593[/C][C]128.910833333333[/C][C]0.996504494108435[/C][C]0.983339397389375[/C][/ROW]
[ROW][C]49[/C][C]129.15[/C][C]130.23659444263[/C][C]130.216666666667[/C][C]1.00015303552513[/C][C]0.991656765540588[/C][/ROW]
[ROW][C]50[/C][C]130.09[/C][C]132.357780412241[/C][C]131.362916666667[/C][C]1.00757339872484[/C][C]0.982866285569475[/C][/ROW]
[ROW][C]51[/C][C]133.81[/C][C]133.325709444029[/C][C]132.621666666667[/C][C]1.00530865578045[/C][C]1.00363238686665[/C][/ROW]
[ROW][C]52[/C][C]136.83[/C][C]135.262541878193[/C][C]134.166666666667[/C][C]1.00816801399895[/C][C]1.01158826457083[/C][/ROW]
[ROW][C]53[/C][C]138.34[/C][C]136.571619218325[/C][C]135.671666666667[/C][C]1.00663331242086[/C][C]1.01294837676961[/C][/ROW]
[ROW][C]54[/C][C]138.67[/C][C]137.473441019031[/C][C]137.22875[/C][C]1.001783088595[/C][C]1.00870392835226[/C][/ROW]
[ROW][C]55[/C][C]137.86[/C][C]138.452252253037[/C][C]138.832916666667[/C][C]0.997258111240696[/C][C]0.995722335726583[/C][/ROW]
[ROW][C]56[/C][C]138.56[/C][C]140.167824684948[/C][C]140.5175[/C][C]0.997511517675361[/C][C]0.988529288454313[/C][/ROW]
[ROW][C]57[/C][C]141.65[/C][C]141.699130677557[/C][C]142.39625[/C][C]0.995104370217312[/C][C]0.999653274672033[/C][/ROW]
[ROW][C]58[/C][C]142.42[/C][C]142.803221404144[/C][C]144.29[/C][C]0.989695899952485[/C][C]0.997316437259777[/C][/ROW]
[ROW][C]59[/C][C]143.12[/C][C]145.341037248003[/C][C]146.173333333333[/C][C]0.994306101760485[/C][C]0.984718443668372[/C][/ROW]
[ROW][C]60[/C][C]146.17[/C][C]147.746738818987[/C][C]148.265[/C][C]0.996504494108435[/C][C]0.989328097313073[/C][/ROW]
[ROW][C]61[/C][C]147.8[/C][C]150.55386989846[/C][C]150.530833333333[/C][C]1.00015303552513[/C][C]0.981708408423393[/C][/ROW]
[ROW][C]62[/C][C]151.87[/C][C]153.909355588716[/C][C]152.7525[/C][C]1.00757339872484[/C][C]0.98674963207457[/C][/ROW]
[ROW][C]63[/C][C]157.12[/C][C]155.754564433098[/C][C]154.932083333333[/C][C]1.00530865578045[/C][C]1.00876658460619[/C][/ROW]
[ROW][C]64[/C][C]158.97[/C][C]158.337827438605[/C][C]157.055[/C][C]1.00816801399895[/C][C]1.00399255548482[/C][/ROW]
[ROW][C]65[/C][C]161.4[/C][C]160.253926184667[/C][C]159.197916666667[/C][C]1.00663331242086[/C][C]1.007151611462[/C][/ROW]
[ROW][C]66[/C][C]165.81[/C][C]161.579263997969[/C][C]161.291666666667[/C][C]1.001783088595[/C][C]1.02618365684649[/C][/ROW]
[ROW][C]67[/C][C]165.1[/C][C]NA[/C][C]NA[/C][C]0.997258111240696[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]164.64[/C][C]NA[/C][C]NA[/C][C]0.997511517675361[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]167.88[/C][C]NA[/C][C]NA[/C][C]0.995104370217312[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]167.14[/C][C]NA[/C][C]NA[/C][C]0.989695899952485[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]169.83[/C][C]NA[/C][C]NA[/C][C]0.994306101760485[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]169.71[/C][C]NA[/C][C]NA[/C][C]0.996504494108435[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167950&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167950&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	115.43	NA	NA	1.00015303552513	NA
2	115.55	NA	NA	1.00757339872484	NA
3	117.14	NA	NA	1.00530865578045	NA
4	119.09	NA	NA	1.00816801399895	NA
5	119.55	NA	NA	1.00663331242086	NA
6	119.8	NA	NA	1.001783088595	NA
7	121.32	118.672468665004	118.99875	0.997258111240696	1.0223095665303
8	121.48	119.023074289024	119.32	0.997511517675361	1.02064243194567
9	119.63	118.900460302236	119.485416666667	0.995104370217312	1.00613571802758
10	118.61	118.142061443786	119.372083333333	0.989695899952485	1.00396081252092
11	118.82	118.417713777583	119.095833333333	0.994306101760485	1.00339717943865
12	119.93	118.265568570995	118.680416666667	0.996504494108435	1.01407367714134
13	118.7	118.19266824275	118.174583333333	1.00015303552513	1.00429241309797
14	119.99	118.54730769372	117.65625	1.00757339872484	1.01216976019403
15	116.67	117.908882329029	117.28625	1.00530865578045	0.989492883788244
16	116.84	118.126206060246	117.169166666667	1.00816801399895	0.98911159425886
17	115.17	118.239568307501	117.460416666667	1.00663331242086	0.974039415472846
18	114.21	118.266754752943	118.05625	1.001783088595	0.96569826608147
19	114.77	118.561939224341	118.887916666667	0.997258111240696	0.968017230072746
20	115.59	119.845605661307	120.144583333333	0.997511517675361	0.964490932831248
21	116.64	121.440049580395	122.0375	0.995104370217312	0.960473916167026
22	118.79	123.130128779547	124.412083333333	0.989695899952485	0.964751691380771
23	125.63	126.41069195311	127.134583333333	0.994306101760485	0.993824162014715
24	127.42	129.947092503181	130.402916666667	0.996504494108435	0.980552912308375
25	131.17	134.005087734403	133.984583333333	1.00015303552513	0.978843432123848
26	137.68	138.451500363279	137.410833333333	1.00757339872484	0.99442764895104
27	144.41	141.493004515032	140.745833333333	1.00530865578045	1.02061582828752
28	146.09	145.149309535476	143.973333333333	1.00816801399895	1.00648084698119
29	151.26	147.499462685748	146.5275	1.00663331242086	1.02549526110657
30	156.56	148.753101186991	148.488333333333	1.001783088595	1.05248225919805
31	158.38	149.700492699406	150.112083333333	0.997258111240696	1.05797914986173
32	154.21	150.70985890758	151.085833333333	0.997511517675361	1.02322436712363
33	158.06	150.19151722372	150.930416666667	0.995104370217312	1.05238966169148
34	154.83	148.456034486039	150.001666666667	0.989695899952485	1.04293503821537
35	150.89	147.758029663699	148.604166666667	0.994306101760485	1.02119661681622
36	149.22	145.816426571858	146.327916666667	0.996504494108435	1.02334149524961
37	148.34	143.44361527674	143.421666666667	1.00015303552513	1.03413456021597
38	143.88	141.834428049498	140.768333333333	1.00757339872484	1.01442225261266
39	134.48	138.907266876644	138.17375	1.00530865578045	0.968127895853172
40	133.73	136.534093785849	135.427916666667	1.00816801399895	0.979462318106077
41	130.08	133.964858369702	133.082083333333	1.00663331242086	0.971000914590741
42	123.11	131.307883518349	131.074166666667	1.001783088595	0.937567468923497
43	122.08	128.96583446986	129.320416666667	0.997258111240696	0.946607297210417
44	126.83	127.627858018371	127.94625	0.997511517675361	0.99374855904691
45	123.17	126.720322144861	127.34375	0.995104370217312	0.971983008843662
46	123.82	126.131793969444	127.445	0.989695899952485	0.981671600024935
47	125.6	127.189979360365	127.918333333333	0.994306101760485	0.987499177463815
48	126.32	128.46022475593	128.910833333333	0.996504494108435	0.983339397389375
49	129.15	130.23659444263	130.216666666667	1.00015303552513	0.991656765540588
50	130.09	132.357780412241	131.362916666667	1.00757339872484	0.982866285569475
51	133.81	133.325709444029	132.621666666667	1.00530865578045	1.00363238686665
52	136.83	135.262541878193	134.166666666667	1.00816801399895	1.01158826457083
53	138.34	136.571619218325	135.671666666667	1.00663331242086	1.01294837676961
54	138.67	137.473441019031	137.22875	1.001783088595	1.00870392835226
55	137.86	138.452252253037	138.832916666667	0.997258111240696	0.995722335726583
56	138.56	140.167824684948	140.5175	0.997511517675361	0.988529288454313
57	141.65	141.699130677557	142.39625	0.995104370217312	0.999653274672033
58	142.42	142.803221404144	144.29	0.989695899952485	0.997316437259777
59	143.12	145.341037248003	146.173333333333	0.994306101760485	0.984718443668372
60	146.17	147.746738818987	148.265	0.996504494108435	0.989328097313073
61	147.8	150.55386989846	150.530833333333	1.00015303552513	0.981708408423393
62	151.87	153.909355588716	152.7525	1.00757339872484	0.98674963207457
63	157.12	155.754564433098	154.932083333333	1.00530865578045	1.00876658460619
64	158.97	158.337827438605	157.055	1.00816801399895	1.00399255548482
65	161.4	160.253926184667	159.197916666667	1.00663331242086	1.007151611462
66	165.81	161.579263997969	161.291666666667	1.001783088595	1.02618365684649
67	165.1	NA	NA	0.997258111240696	NA
68	164.64	NA	NA	0.997511517675361	NA
69	167.88	NA	NA	0.995104370217312	NA
70	167.14	NA	NA	0.989695899952485	NA
71	169.83	NA	NA	0.994306101760485	NA
72	169.71	NA	NA	0.996504494108435	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