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R Software Module: /rwasp_decompose.wasp (opens new window with default values)

Title produced by software: Classical Decomposition

Date of computation: Fri, 21 May 2010 19:13:54 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1.htm/, Retrieved Fri, 21 May 2010 21:27:08 +0200

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

KDGP2W52

Dataseries X:

» Textbox « » Textfile « » CSV «

93.2 96 95.2 77.1 70.9 64.8 70.1 77.3 79.5 100.6 100.7 107.1 95.9 82.8 83.3 80 80.4 67.5 75.7 71.1 89.3 101.1 105.2 114.1 96.3 84.4 91.2 81.9 80.5 70.4 74.8 75.9 86.3 98.7 100.9 113.8 89.8 84.4 87.2 85.6 72 69.2 77.5 78.1 94.3 97.7 100.2 116.4 97.1 93 96 80.5 76.1 69.9 73.6 92.6 94.2 93.5 108.5 109.4 105.1 92.5 97.1 81.4 79.1 72.1 78.7 87.1 91.4 109.9 116.3 113 100 84.8 94.3 87.1 90.3 72.4 84.9 92.7 92.2 114.9 112.5 118.3 106 91.2 96.6 96.3 88.2 70.2 86.5 88.2 102.8 119.1 119.2 125.1 106.1 102.1 105.2 101 84.3 87.5 92.7 94.4 113 113.9 122.9 132.7 106.9 96.6 127.3 98.2 100.2 89.4 95.3 104.2 106.4 116.2 135.9 134 104.6 107.1 123.5 98.8 98.6 90.6 89.1 105.2 114 122.1 138 142.2 116.4 112.6 123.8 103.6 113.9 98.6 95 116 113.9 127.5 131.4 145.9 131.5 131 130.5 118.9 114.3 85.7 104.6 105.1 117.3 142.5 140 159.8 131.2 125.4 126.5 119.4 113.5 98.7 114.5 etc...

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	8 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	93.2	NA	NA	3.92258771929825	NA
2	96	NA	NA	-5.40657894736841	NA
3	95.2	NA	NA	6.13859649122807	NA
4	77.1	NA	NA	-7.39616228070176	NA
5	70.9	NA	NA	-11.5802631578947	NA
6	64.8	NA	NA	-25.1287280701754	NA
7	70.1	70.5997807017544	86.1541666666667	-15.5543859649123	-0.499780701754403
8	77.3	76.1735745614035	85.7166666666667	-9.54309210526316	1.12642543859648
9	79.5	78.4546052631579	84.6708333333333	-6.21622807017544	1.04539473684210
10	100.6	97.6816885964912	84.2958333333333	13.3858552631579	2.91831140350877
11	100.7	107.514144736842	84.8125	22.7016447368421	-6.81414473684211
12	107.1	119.997587719298	85.3208333333333	34.6767543859649	-12.8975877192983
13	95.9	89.589254385965	85.6666666666667	3.92258771929825	6.31074561403508
14	82.8	80.2350877192982	85.6416666666667	-5.40657894736841	2.56491228070176
15	83.3	91.9302631578947	85.7916666666667	6.13859649122807	-8.63026315789473
16	80	78.8246710526316	86.2208333333333	-7.39616228070176	1.17532894736844
17	80.4	74.848903508772	86.4291666666667	-11.5802631578947	5.55109649122808
18	67.5	61.7796052631579	86.9083333333334	-25.1287280701754	5.72039473684208
19	75.7	71.6622807017544	87.2166666666667	-15.5543859649123	4.03771929824561
20	71.1	77.7569078947368	87.3	-9.54309210526316	-6.65690789473685
21	89.3	81.4796052631579	87.6958333333333	-6.21622807017544	7.8203947368421
22	101.1	101.490021929825	88.1041666666667	13.3858552631579	-0.390021929824556
23	105.2	110.889144736842	88.1875	22.7016447368421	-5.6891447368421
24	114.1	122.989254385965	88.3125	34.6767543859649	-8.8892543859649
25	96.3	92.3184210526316	88.3958333333333	3.92258771929825	3.98157894736842
26	84.4	83.1517543859649	88.5583333333333	-5.40657894736841	1.2482456140351
27	91.2	94.7719298245614	88.6333333333333	6.13859649122807	-3.57192982456139
28	81.9	81.0121710526316	88.4083333333333	-7.39616228070176	0.887828947368419
29	80.5	76.5489035087719	88.1291666666667	-11.5802631578947	3.95109649122809
30	70.4	62.8087719298246	87.9375	-25.1287280701754	7.59122807017545
31	74.8	72.0997807017544	87.6541666666667	-15.5543859649123	2.70021929824561
32	75.9	77.8402412280702	87.3833333333333	-9.54309210526316	-1.94024122807018
33	86.3	81.0004385964912	87.2166666666667	-6.21622807017544	5.29956140350878
34	98.7	100.590021929825	87.2041666666667	13.3858552631579	-1.89002192982456
35	100.9	109.705811403509	87.0041666666667	22.7016447368421	-8.80581140350877
36	113.8	121.276754385965	86.6	34.6767543859649	-7.47675438596492
37	89.8	90.5850877192982	86.6625	3.92258771929825	-0.785087719298247
38	84.4	81.4600877192982	86.8666666666666	-5.40657894736841	2.93991228070178
39	87.2	93.4302631578947	87.2916666666667	6.13859649122807	-6.23026315789473
40	85.6	80.1871710526316	87.5833333333333	-7.39616228070176	5.41282894736844
41	72	75.9322368421053	87.5125	-11.5802631578947	-3.93223684210525
42	69.2	62.4629385964912	87.5916666666667	-25.1287280701754	6.73706140350879
43	77.5	72.4497807017544	88.0041666666667	-15.5543859649123	5.05021929824562
44	78.1	79.1235745614035	88.6666666666667	-9.54309210526316	-1.02357456140351
45	94.3	83.1754385964912	89.3916666666667	-6.21622807017544	11.1245614035088
46	97.7	102.931688596491	89.5458333333333	13.3858552631579	-5.23168859649121
47	100.2	112.205811403509	89.5041666666667	22.7016447368421	-12.0058114035088
48	116.4	124.380921052632	89.7041666666667	34.6767543859649	-7.98092105263159
49	97.1	93.4934210526316	89.5708333333333	3.92258771929825	3.60657894736840
50	93	84.6059210526316	90.0125	-5.40657894736841	8.39407894736843
51	96	96.751096491228	90.6125	6.13859649122807	-0.751096491228054
52	80.5	83.0371710526316	90.4333333333333	-7.39616228070176	-2.53717105263158
53	76.1	79.023903508772	90.6041666666667	-11.5802631578947	-2.92390350877194
54	69.9	65.5296052631579	90.6583333333333	-25.1287280701754	4.37039473684212
55	73.6	75.1456140350877	90.7	-15.5543859649123	-1.54561403508772
56	92.6	81.4694078947368	91.0125	-9.54309210526316	11.1305921052632
57	94.2	84.8212719298246	91.0375	-6.21622807017544	9.37872807017544
58	93.5	104.506688596491	91.1208333333333	13.3858552631579	-11.0066885964912
59	108.5	113.984978070175	91.2833333333333	22.7016447368421	-5.48497807017543
60	109.4	126.176754385965	91.5	34.6767543859649	-16.7767543859649
61	105.1	95.726754385965	91.8041666666667	3.92258771929825	9.37324561403508
62	92.5	86.3809210526316	91.7875	-5.40657894736841	6.11907894736842
63	97.1	97.5802631578947	91.4416666666667	6.13859649122807	-0.480263157894754
64	81.4	84.6121710526316	92.0083333333333	-7.39616228070176	-3.21217105263156
65	79.1	81.4364035087719	93.0166666666667	-11.5802631578947	-2.33640350877192
66	72.1	68.3629385964912	93.4916666666667	-25.1287280701754	3.73706140350876
67	78.7	77.8747807017544	93.4291666666666	-15.5543859649123	0.825219298245642
68	87.1	83.3527412280702	92.8958333333333	-9.54309210526316	3.74725877192982
69	91.4	86.2421052631579	92.4583333333333	-6.21622807017544	5.15789473684211
70	109.9	105.965021929825	92.5791666666667	13.3858552631579	3.93497807017545
71	116.3	115.984978070175	93.2833333333333	22.7016447368421	0.315021929824567
72	113	128.439254385965	93.7625	34.6767543859649	-15.4392543859649
73	100	97.9559210526316	94.0333333333333	3.92258771929825	2.04407894736842
74	84.8	89.1184210526316	94.525	-5.40657894736841	-4.31842105263156
75	94.3	100.930263157895	94.7916666666667	6.13859649122807	-6.63026315789473
76	87.1	87.6371710526316	95.0333333333333	-7.39616228070176	-0.537171052631578
77	90.3	83.5030701754386	95.0833333333333	-11.5802631578947	6.79692982456142
78	72.4	70.0171052631579	95.1458333333333	-25.1287280701754	2.38289473684212
79	84.9	80.0622807017544	95.6166666666667	-15.5543859649123	4.83771929824562
80	92.7	86.5902412280702	96.1333333333333	-9.54309210526316	6.10975877192982
81	92.2	90.2796052631579	96.4958333333333	-6.21622807017544	1.92039473684211
82	114.9	110.360855263158	96.975	13.3858552631579	4.53914473684212
83	112.5	119.972478070175	97.2708333333333	22.7016447368421	-7.47247807017544
84	118.3	131.768421052632	97.0916666666667	34.6767543859649	-13.4684210526316
85	106	100.989254385965	97.0666666666667	3.92258771929825	5.01074561403509
86	91.2	91.539254385965	96.9458333333333	-5.40657894736841	-0.339254385964921
87	96.6	103.338596491228	97.2	6.13859649122807	-6.73859649122808
88	96.3	90.4205043859649	97.8166666666666	-7.39616228070176	5.87949561403511
89	88.2	86.6905701754386	98.2708333333333	-11.5802631578947	1.50942982456142
90	70.2	73.7046052631579	98.8333333333333	-25.1287280701754	-3.50460526315788
91	86.5	83.566447368421	99.1208333333333	-15.5543859649123	2.93355263157895
92	88.2	90.0360745614035	99.5791666666667	-9.54309210526316	-1.83607456140349
93	102.8	94.1754385964912	100.391666666667	-6.21622807017544	8.62456140350878
94	119.1	114.331688596491	100.945833333333	13.3858552631579	4.7683114035088
95	119.2	123.680811403509	100.979166666667	22.7016447368421	-4.48081140350875
96	125.1	136.214254385965	101.5375	34.6767543859649	-11.1142543859649
97	106.1	106.439254385965	102.516666666667	3.92258771929825	-0.339254385964907
98	102.1	97.6267543859649	103.033333333333	-5.40657894736841	4.47324561403509
99	105.2	109.855263157895	103.716666666667	6.13859649122807	-4.65526315789472
100	101	96.5288377192982	103.925	-7.39616228070176	4.47116228070176
101	84.3	92.2822368421052	103.8625	-11.5802631578947	-7.98223684210525
102	87.5	79.2046052631579	104.333333333333	-25.1287280701754	8.2953947368421
103	92.7	89.128947368421	104.683333333333	-15.5543859649123	3.57105263157894
104	94.4	94.9444078947369	104.4875	-9.54309210526316	-0.54440789473685
105	113	98.9629385964912	105.179166666667	-6.21622807017544	14.0370614035088
106	113.9	119.369188596491	105.983333333333	13.3858552631579	-5.46918859649121
107	122.9	129.230811403509	106.529166666667	22.7016447368421	-6.33081140350876
108	132.7	141.947587719298	107.270833333333	34.6767543859649	-9.24758771929825
109	106.9	111.380921052632	107.458333333333	3.92258771929825	-4.48092105263157
110	96.6	102.568421052632	107.975	-5.40657894736841	-5.9684210526316
111	127.3	114.246929824561	108.108333333333	6.13859649122807	13.0530701754386
112	98.2	100.533004385965	107.929166666667	-7.39616228070176	-2.33300438596491
113	100.2	96.986403508772	108.566666666667	-11.5802631578947	3.21359649122809
114	89.4	84.0337719298246	109.1625	-25.1287280701754	5.36622807017545
115	95.3	93.566447368421	109.120833333333	-15.5543859649123	1.73355263157896
116	104.2	99.9194078947368	109.4625	-9.54309210526316	4.28059210526315
117	106.4	103.525438596491	109.741666666667	-6.21622807017544	2.87456140350878
118	116.2	122.994188596491	109.608333333333	13.3858552631579	-6.79418859649122
119	135.9	132.268311403509	109.566666666667	22.7016447368421	3.63168859649124
120	134	144.226754385965	109.55	34.6767543859649	-10.2267543859649
121	104.6	113.264254385965	109.341666666667	3.92258771929825	-8.66425438596492
122	107.1	103.718421052632	109.125	-5.40657894736841	3.38157894736841
123	123.5	115.621929824561	109.483333333333	6.13859649122807	7.87807017543858
124	98.8	102.649671052632	110.045833333333	-7.39616228070176	-3.84967105263158
125	98.6	98.798903508772	110.379166666667	-11.5802631578947	-0.198903508771920
126	90.6	85.6796052631579	110.808333333333	-25.1287280701754	4.92039473684211
127	89.1	96.0872807017544	111.641666666667	-15.5543859649123	-6.98728070175439
128	105.2	102.819407894737	112.3625	-9.54309210526316	2.38059210526316
129	114	106.387938596491	112.604166666667	-6.21622807017544	7.61206140350878
130	122.1	126.202521929825	112.816666666667	13.3858552631579	-4.10252192982455
131	138	136.355811403509	113.654166666667	22.7016447368421	1.64418859649125
132	142.2	149.301754385965	114.625	34.6767543859649	-7.10175438596491
133	116.4	119.126754385965	115.204166666667	3.92258771929825	-2.72675438596490
134	112.6	110.493421052632	115.9	-5.40657894736841	2.10657894736843
135	123.8	122.484429824561	116.345833333333	6.13859649122807	1.31557017543859
136	103.6	109.170504385965	116.566666666667	-7.39616228070176	-5.5705043859649
137	113.9	104.936403508772	116.516666666667	-11.5802631578947	8.96359649122809
138	98.6	91.2671052631579	116.395833333333	-25.1287280701754	7.33289473684212
139	95	101.624780701754	117.179166666667	-15.5543859649123	-6.62478070175436
140	116	109.031907894737	118.575	-9.54309210526316	6.96809210526317
141	113.9	113.404605263158	119.620833333333	-6.21622807017544	0.495394736842101
142	127.5	133.923355263158	120.5375	13.3858552631579	-6.42335526315792
143	131.4	143.893311403509	121.191666666667	22.7016447368421	-12.4933114035088
144	145.9	155.347587719298	120.670833333333	34.6767543859649	-9.44758771929824
145	131.5	124.455921052632	120.533333333333	3.92258771929825	7.04407894736842
146	131	115.072587719298	120.479166666667	-5.40657894736841	15.9274122807018
147	130.5	126.305263157895	120.166666666667	6.13859649122807	4.19473684210527
148	118.9	113.537171052632	120.933333333333	-7.39616228070176	5.36282894736844
149	114.3	110.336403508772	121.916666666667	-11.5802631578947	3.96359649122809
150	85.7	97.7254385964912	122.854166666667	-25.1287280701754	-12.0254385964912
151	104.6	107.866447368421	123.420833333333	-15.5543859649123	-3.26644736842104
152	105.1	113.631907894737	123.175	-9.54309210526316	-8.53190789473685
153	117.3	116.558771929825	122.775	-6.21622807017544	0.741228070175453
154	142.5	136.015021929825	122.629166666667	13.3858552631579	6.48497807017544
155	140	145.318311403509	122.616666666667	22.7016447368421	-5.31831140350877
156	159.8	157.801754385965	123.125	34.6767543859649	1.99824561403508
157	131.2	128.001754385965	124.079166666667	3.92258771929825	3.19824561403507
158	125.4	119.447587719298	124.854166666667	-5.40657894736841	5.95241228070176
159	126.5	132.013596491228	125.875	6.13859649122807	-5.51359649122807
160	119.4	119.174671052632	126.570833333333	-7.39616228070176	0.225328947368425
161	113.5	114.915570175439	126.495833333333	-11.5802631578947	-1.41557017543859
162	98.7	101.479605263158	126.608333333333	-25.1287280701754	-2.77960526315789
163	114.5	111.099780701754	126.654166666667	-15.5543859649123	3.40021929824562
164	113.8	116.873574561404	126.416666666667	-9.54309210526316	-3.07357456140352
165	133.1	120.525438596491	126.741666666667	-6.21622807017544	12.5745614035088
166	143.4	140.952521929825	127.566666666667	13.3858552631579	2.44747807017545
167	137.3	150.539144736842	127.8375	22.7016447368421	-13.2391447368421
168	165.2	163.139254385965	128.4625	34.6767543859649	2.06074561403508
169	126.9	133.422587719298	129.5	3.92258771929825	-6.52258771929824
170	124	124.635087719298	130.041666666667	-5.40657894736841	-0.635087719298241
171	135.7	136.446929824561	130.308333333333	6.13859649122807	-0.74692982456142
172	130	122.858004385965	130.254166666667	-7.39616228070176	7.1419956140351
173	109.4	119.073903508772	130.654166666667	-11.5802631578947	-9.67390350877191
174	117.8	106.392105263158	131.520833333333	-25.1287280701754	11.4078947368421
175	120.3	116.649780701754	132.204166666667	-15.5543859649123	3.65021929824562
176	121	122.886074561404	132.429166666667	-9.54309210526316	-1.88607456140352
177	132.3	126.933771929825	133.15	-6.21622807017544	5.36622807017548
178	142.9	147.435855263158	134.05	13.3858552631579	-4.53585526315788
179	147.4	157.343311403509	134.641666666667	22.7016447368421	-9.94331140350874
180	175.9	169.676754385965	135	34.6767543859649	6.22324561403508
181	132.6	138.785087719298	134.8625	3.92258771929825	-6.18508771929822
182	123.7	129.789254385965	135.195833333333	-5.40657894736841	-6.08925438596489
183	153.3	141.613596491228	135.475	6.13859649122807	11.6864035087719
184	134	128.016337719298	135.4125	-7.39616228070176	5.98366228070174
185	119.6	124.553070175439	136.133333333333	-11.5802631578947	-4.95307017543863
186	116.2	111.808771929825	136.9375	-25.1287280701754	4.3912280701754
187	118.6	121.341447368421	136.895833333333	-15.5543859649123	-2.74144736842106
188	130.7	127.777741228070	137.320833333333	-9.54309210526316	2.92225877192982
189	129.3	131.692105263158	137.908333333333	-6.21622807017544	-2.39210526315784
190	144.4	150.685855263158	137.3	13.3858552631579	-6.28585526315791
191	163.2	160.289144736842	137.5875	22.7016447368421	2.91085526315791
192	179.4	173.135087719298	138.458333333333	34.6767543859649	6.26491228070176
193	128.1	142.497587719298	138.575	3.92258771929825	-14.3975877192982
194	138.4	133.164254385965	138.570833333333	-5.40657894736841	5.23574561403512
195	152.7	145.184429824561	139.045833333333	6.13859649122807	7.5155701754386
196	120	132.795504385965	140.191666666667	-7.39616228070176	-12.7955043859649
197	140.5	129.286403508772	140.866666666667	-11.5802631578947	11.2135964912281
198	116.2	115.983771929825	141.1125	-25.1287280701754	0.216228070175447
199	121.4	126.720614035088	142.275	-15.5543859649123	-5.32061403508771
200	127.8	134.156907894737	143.7	-9.54309210526316	-6.35690789473685
201	143.6	138.075438596491	144.291666666667	-6.21622807017544	5.52456140350876
202	157.6	158.602521929825	145.216666666667	13.3858552631579	-1.00252192982461
203	166.2	169.093311403509	146.391666666667	22.7016447368421	-2.89331140350876
204	182.3	180.797587719298	146.120833333333	34.6767543859649	1.50241228070178
205	153.1	150.330921052632	146.408333333333	3.92258771929825	2.76907894736843
206	147.6	143.014254385965	148.420833333333	-5.40657894736841	4.58574561403512
207	157.7	154.963596491228	148.825	6.13859649122807	2.73640350877196
208	137.2	141.524671052632	148.920833333333	-7.39616228070176	-4.32467105263157
209	151.5	139.311403508772	150.891666666667	-11.5802631578947	12.1885964912281
210	98.7	127.529605263158	152.658333333333	-25.1287280701754	-28.8296052631579
211	145.8	138.045614035088	153.6	-15.5543859649123	7.75438596491227
212	151.7	144.315241228070	153.858333333333	-9.54309210526316	7.38475877192982
213	129.4	147.450438596491	153.666666666667	-6.21622807017544	-18.0504385964912
214	174.1	167.977521929825	154.591666666667	13.3858552631579	6.12247807017545
215	197	178.655811403509	155.954166666667	22.7016447368421	18.3441885964913
216	193.9	192.093421052632	157.416666666667	34.6767543859649	1.80657894736842
217	164.1	161.697587719298	157.775	3.92258771929825	2.40241228070178
218	142.8	151.643421052632	157.05	-5.40657894736841	-8.84342105263156
219	157.9	164.788596491228	158.65	6.13859649122807	-6.88859649122807
220	159.2	153.153837719298	160.55	-7.39616228070176	6.04616228070176
221	162.2	148.582236842105	160.1625	-11.5802631578947	13.6177631578947
222	123.1	134.429605263158	159.558333333333	-25.1287280701754	-11.3296052631579
223	130	143.908114035088	159.4625	-15.5543859649123	-13.9081140350877
224	150.1	150.91524122807	160.458333333333	-9.54309210526316	-0.815241228070136
225	169.4	155.804605263158	162.020833333333	-6.21622807017544	13.5953947368422
226	179.7	175.815021929825	162.429166666667	13.3858552631579	3.88497807017546
227	182.1	184.930811403509	162.229166666667	22.7016447368421	-2.83081140350873
228	194.3	197.260087719298	162.583333333333	34.6767543859649	-2.9600877192982
229	161.4	167.818421052632	163.895833333333	3.92258771929825	-6.41842105263154
230	169.4	159.014254385965	164.420833333333	-5.40657894736841	10.3857456140351
231	168.8	169.146929824561	163.008333333333	6.13859649122807	-0.346929824561386
232	158.1	154.841337719298	162.2375	-7.39616228070176	3.25866228070174
233	158.5	150.357236842105	161.9375	-11.5802631578947	8.14276315789476
234	135.3	136.350438596491	161.479166666667	-25.1287280701754	-1.05043859649118
235	149.3	147.016447368421	162.570833333333	-15.5543859649123	2.28355263157897
236	143.4	152.906907894737	162.45	-9.54309210526316	-9.50690789473686
237	142.2	155.779605263158	161.995833333333	-6.21622807017544	-13.5796052631579
238	188.4	175.960855263158	162.575	13.3858552631579	12.4391447368421
239	166.2	184.597478070175	161.895833333333	22.7016447368421	-18.3974780701754
240	199.2	195.755921052632	161.079166666667	34.6767543859649	3.44407894736847
241	182.7	164.485087719298	160.5625	3.92258771929825	18.2149122807018
242	145.2	154.901754385965	160.308333333333	-5.40657894736841	-9.70175438596488
243	182.1	167.613596491228	161.475	6.13859649122807	14.4864035087720
244	158.7	153.787171052632	161.183333333333	-7.39616228070176	4.91282894736844
245	141.6	148.886403508772	160.466666666667	-11.5802631578947	-7.28640350877194
246	132.6	136.387938596491	161.516666666667	-25.1287280701754	-3.78793859649122
247	139.6	145.466447368421	161.020833333333	-15.5543859649123	-5.86644736842103
248	147	151.048574561404	160.591666666667	-9.54309210526316	-4.04857456140351
249	166.6	154.321271929825	160.5375	-6.21622807017544	12.2787280701755
250	157	173.331688596491	159.945833333333	13.3858552631579	-16.3316885964913
251	180.4	183.068311403509	160.366666666667	22.7016447368421	-2.66831140350877
252	210.2	195.876754385965	161.2	34.6767543859649	14.3232456140351
253	159.8	165.422587719298	161.5	3.92258771929825	-5.6225877192982
254	157.8	156.226754385965	161.633333333333	-5.40657894736841	1.57324561403510
255	168.2	168.013596491228	161.875	6.13859649122807	0.186403508771917
256	158.4	154.845504385965	162.241666666667	-7.39616228070176	3.55449561403509
257	152	151.778070175439	163.358333333333	-11.5802631578947	0.221929824561357
258	142.2	138.625438596491	163.754166666667	-25.1287280701754	3.57456140350877
259	137.2	148.291447368421	163.845833333333	-15.5543859649123	-11.0914473684210
260	152.6	155.031907894737	164.575	-9.54309210526316	-2.43190789473684
261	166.8	159.112938596491	165.329166666667	-6.21622807017544	7.6870614035088
262	165.6	179.135855263158	165.75	13.3858552631579	-13.5358552631579
263	198.6	189.059978070175	166.358333333333	22.7016447368421	9.54002192982458
264	201.5	201.580921052632	166.904166666667	34.6767543859649	-0.0809210526315667
265	170.7	170.764254385965	166.841666666667	3.92258771929825	-0.0642543859649152
266	164.4	161.526754385965	166.933333333333	-5.40657894736841	2.87324561403508
267	179.7	171.942763157895	165.804166666667	6.13859649122807	7.75723684210524
268	157	157.516337719298	164.9125	-7.39616228070176	-0.516337719298235
269	168	153.594736842105	165.175	-11.5802631578947	14.4052631578948
270	139.3	140.717105263158	165.845833333333	-25.1287280701754	-1.41710526315785
271	138.6	151.095614035088	166.65	-15.5543859649123	-12.4956140350877
272	153.4	156.790241228070	166.333333333333	-9.54309210526316	-3.39024122807018
273	138.9	159.504605263158	165.720833333333	-6.21622807017544	-20.6046052631579
274	172.1	178.523355263158	165.1375	13.3858552631579	-6.42335526315787
275	198.4	187.105811403509	164.404166666667	22.7016447368421	11.2941885964912
276	217.8	198.589254385965	163.9125	34.6767543859649	19.2107456140351
277	173.7	168.089254385965	164.166666666667	3.92258771929825	5.6107456140351
278	153.8	159.085087719298	164.491666666667	-5.40657894736841	-5.28508771929822
279	175.6	170.917763157895	164.779166666667	6.13859649122807	4.68223684210528
280	147.1	158.191337719298	165.5875	-7.39616228070176	-11.0913377192982
281	160.3	154.044736842105	165.625	-11.5802631578947	6.25526315789475
282	135.2	138.667105263158	163.795833333333	-25.1287280701754	-3.46710526315786
283	148.8	146.641447368421	162.195833333333	-15.5543859649123	2.15855263157897
284	151	152.690241228070	162.233333333333	-9.54309210526316	-1.69024122807016
285	148.2	156.229605263158	162.445833333333	-6.21622807017544	-8.02960526315789
286	182.2	176.231688596491	162.845833333333	13.3858552631579	5.96831140350878
287	189.2	185.630811403509	162.929166666667	22.7016447368421	3.56918859649122
288	183.1	196.589254385965	161.9125	34.6767543859649	-13.4892543859650
289	170	165.155921052632	161.233333333333	3.92258771929825	4.84407894736844
290	158.4	156.101754385965	161.508333333333	-5.40657894736841	2.29824561403512
291	176.1	168.651096491228	162.5125	6.13859649122807	7.44890350877193
292	156.2	154.828837719298	162.225	-7.39616228070176	1.37116228070175
293	153.2	148.311403508772	159.891666666667	-11.5802631578947	4.88859649122807
294	117.9	134.642105263158	159.770833333333	-25.1287280701754	-16.7421052631579
295	149.8	146.770614035088	162.325	-15.5543859649123	3.02938596491231
296	156.6	154.881907894737	164.425	-9.54309210526316	1.71809210526317
297	166.7	158.600438596491	164.816666666667	-6.21622807017544	8.0995614035088
298	156.8	177.881688596491	164.495833333333	13.3858552631579	-21.0816885964912
299	158.6	186.939144736842	164.2375	22.7016447368421	-28.3391447368421
300	210.8	199.464254385965	164.7875	34.6767543859649	11.3357456140351
301	203.6	169.143421052632	165.220833333333	3.92258771929825	34.4565789473684
302	175.2	159.901754385965	165.308333333333	-5.40657894736841	15.2982456140351
303	168.7	171.626096491228	165.4875	6.13859649122807	-2.92609649122807
304	155.9	159.283004385965	166.679166666667	-7.39616228070176	-3.38300438596491
305	147.3	157.219736842105	168.8	-11.5802631578947	-9.91973684210524
306	137	144.221271929825	169.35	-25.1287280701754	-7.22127192982455
307	141.1	151.845614035088	167.4	-15.5543859649123	-10.7456140350877
308	167.4	155.427741228070	164.970833333333	-9.54309210526316	11.9722587719298
309	160.2	158.308771929825	164.525	-6.21622807017544	1.89122807017543
310	191.9	178.156688596491	164.770833333333	13.3858552631579	13.7433114035088
311	174.4	186.214144736842	163.5125	22.7016447368421	-11.8141447368420
312	208.2	197.768421052632	163.091666666667	34.6767543859649	10.4315789473685
313	159.4	168.730921052632	164.808333333333	3.92258771929825	-9.33092105263154
314	161.1	159.843421052632	165.25	-5.40657894736841	1.25657894736841
315	172.1	171.076096491228	164.9375	6.13859649122807	1.02390350877192
316	158.4	156.462171052632	163.858333333333	-7.39616228070176	1.93782894736844
317	114.6	152.453070175439	164.033333333333	-11.5802631578947	-37.8530701754386
318	159.6	140.054605263158	165.183333333333	-25.1287280701754	19.5453947368421
319	159.7	148.762280701754	164.316666666667	-15.5543859649123	10.9377192982456
320	159.4	153.490241228070	163.033333333333	-9.54309210526316	5.90975877192983
321	160.7	156.808771929825	163.025	-6.21622807017544	3.89122807017546
322	165.5	175.865021929825	162.479166666667	13.3858552631579	-10.3650219298246
323	205	185.047478070175	162.345833333333	22.7016447368421	19.9525219298245
324	205.2	196.964254385965	162.2875	34.6767543859649	8.2357456140351
325	141.6	163.622587719298	159.7	3.92258771929825	-22.0225877192982
326	148.1	152.989254385965	158.395833333333	-5.40657894736841	-4.88925438596493
327	184.9	164.234429824561	158.095833333333	6.13859649122807	20.6655701754386
328	132.5	150.008004385965	157.404166666667	-7.39616228070176	-17.5080043859649
329	137.3	144.953070175439	156.533333333333	-11.5802631578947	-7.65307017543859
330	135.5	129.825438596491	154.954166666667	-25.1287280701754	5.67456140350876
331	121.7	138.991447368421	154.545833333333	-15.5543859649123	-17.2914473684211
332	166.1	145.831907894737	155.375	-9.54309210526316	20.2680921052632
333	146.8	147.829605263158	154.045833333333	-6.21622807017544	-1.02960526315789
334	162.8	166.465021929825	153.079166666667	13.3858552631579	-3.66502192982455
335	186.8	176.989144736842	154.2875	22.7016447368421	9.81085526315795
336	185.5	189.193421052632	154.516666666667	34.6767543859649	-3.69342105263158
337	151.5	158.897587719298	154.975	3.92258771929825	-7.39758771929823
338	158.1	149.393421052632	154.8	-5.40657894736841	8.70657894736843
339	143	159.555263157895	153.416666666667	6.13859649122807	-16.5552631578947
340	151.2	145.683004385965	153.079166666667	-7.39616228070176	5.5169956140351
341	147.6	141.507236842105	153.0875	-11.5802631578947	6.09276315789475
342	130.7	128.442105263158	153.570833333333	-25.1287280701754	2.25789473684210
343	137.5	139.328947368421	154.883333333333	-15.5543859649123	-1.82894736842104
344	146.1	145.681907894737	155.225	-9.54309210526316	0.418092105263185
345	133.6	148.858771929825	155.075	-6.21622807017544	-15.2587719298245
346	167.9	168.473355263158	155.0875	13.3858552631579	-0.573355263157879
347	181.9	177.547478070175	154.845833333333	22.7016447368421	4.35252192982458
348	202	189.105921052632	154.429166666667	34.6767543859649	12.8940789473684
349	166.5	158.643421052632	154.720833333333	3.92258771929825	7.85657894736846
350	151.3	149.393421052632	154.8	-5.40657894736841	1.90657894736844
351	146.2	160.588596491228	154.45	6.13859649122807	-14.3885964912281
352	148.3	147.783004385965	155.179166666667	-7.39616228070176	0.516995614035096
353	144.7	144.173903508772	155.754166666667	-11.5802631578947	0.526096491228031
354	123.6	130.129605263158	155.258333333333	-25.1287280701754	-6.52960526315792
355	151.6	138.983114035088	154.5375	-15.5543859649123	12.6168859649123
356	133.9	144.948574561404	154.491666666667	-9.54309210526316	-11.0485745614035
357	137.4	148.271271929825	154.4875	-6.21622807017544	-10.8712719298245
358	181.6	168.373355263158	154.9875	13.3858552631579	13.2266447368420
359	182	178.014144736842	155.3125	22.7016447368421	3.98585526315787
360	190	189.768421052632	155.091666666667	34.6767543859649	0.231578947368433
361	161.2	159.185087719298	155.2625	3.92258771929825	2.01491228070176
362	155.5	149.589254385965	154.995833333333	-5.40657894736841	5.91074561403508
363	141.9	161.359429824561	155.220833333333	6.13859649122807	-19.4594298245614
364	164.6	148.549671052632	155.945833333333	-7.39616228070176	16.0503289473684
365	136.2	143.123903508772	154.704166666667	-11.5802631578947	-6.92390350877196
366	126.8	128.571271929825	153.7	-25.1287280701754	-1.77127192982454
367	152.5	139.245614035088	154.8	-15.5543859649123	13.2543859649123
368	126.6	144.75274122807	154.295833333333	-9.54309210526316	-18.1527412280701
369	150.1	148.375438596491	154.591666666667	-6.21622807017544	1.7245614035088
370	186.3	169.019188596491	155.633333333333	13.3858552631579	17.2808114035088
371	147.5	177.868311403509	155.166666666667	22.7016447368421	-30.3683114035088
372	200.4	189.785087719298	155.108333333333	34.6767543859649	10.6149122807017
373	177.2	158.797587719298	154.875	3.92258771929825	18.4024122807017
374	127.4	149.835087719298	155.241666666667	-5.40657894736841	-22.4350877192983
375	177.1	162.055263157895	155.916666666667	6.13859649122807	15.0447368421053
376	154.4	147.149671052632	154.545833333333	-7.39616228070176	7.25032894736844
377	135.2	142.532236842105	154.1125	-11.5802631578947	-7.33223684210526
378	126.4	130.633771929825	155.7625	-25.1287280701754	-4.23377192982457
379	147.3	139.866447368421	155.420833333333	-15.5543859649123	7.43355263157898
380	140.6	146.244407894737	155.7875	-9.54309210526316	-5.64440789473684
381	152.3	150.204605263158	156.420833333333	-6.21622807017544	2.09539473684214
382	151.2	169.006688596491	155.620833333333	13.3858552631579	-17.8066885964913
383	172.2	178.768311403509	156.066666666667	22.7016447368421	-6.56831140350874
384	215.3	191.843421052632	157.166666666667	34.6767543859649	23.4565789473685
385	154.1	161.676754385965	157.754166666667	3.92258771929825	-7.57675438596488
386	159.3	152.922587719298	158.329166666667	-5.40657894736841	6.37741228070178
387	160.4	164.705263157895	158.566666666667	6.13859649122807	-4.30526315789473
388	151.9	152.224671052632	159.620833333333	-7.39616228070176	-0.324671052631572
389	148.4	150.990570175439	162.570833333333	-11.5802631578947	-2.59057017543861
390	139.6	138.537938596491	163.666666666667	-25.1287280701754	1.06206140350875
391	148.2	147.578947368421	163.133333333333	-15.5543859649123	0.621052631578948
392	153.5	152.931907894737	162.475	-9.54309210526316	0.568092105263162
393	145.1	156.017105263158	162.233333333333	-6.21622807017544	-10.9171052631579
394	183.7	175.660855263158	162.275	13.3858552631579	8.03914473684205
395	210.5	185.122478070175	162.420833333333	22.7016447368421	25.3775219298246
396	203.3	197.418421052632	162.741666666667	34.6767543859649	5.88157894736847
397	153.3	166.230921052632	162.308333333333	3.92258771929825	-12.9309210526316
398	144.3	156.901754385965	162.308333333333	-5.40657894736841	-12.6017543859649
399	169.6	168.738596491228	162.6	6.13859649122807	0.861403508771957
400	143.7	155.220504385965	162.616666666667	-7.39616228070176	-11.5205043859649
401	160.1	150.515570175439	162.095833333333	-11.5802631578947	9.5844298245614
402	135.6	135.767105263158	160.895833333333	-25.1287280701754	-0.167105263157879
403	141.8	145.433114035088	160.9875	-15.5543859649123	-3.63311403508769
404	159.9	152.486074561403	162.029166666667	-9.54309210526316	7.41392543859652
405	145.7	155.812938596491	162.029166666667	-6.21622807017544	-10.1129385964912
406	183.5	175.569188596491	162.183333333333	13.3858552631579	7.93081140350873
407	198.2	185.001644736842	162.3	22.7016447368421	13.1983552631579
408	186.8	196.672587719298	161.995833333333	34.6767543859649	-9.8725877192982
409	172	166.193421052632	162.270833333333	3.92258771929825	5.80657894736848
410	150.6	156.664254385965	162.070833333333	-5.40657894736841	-6.06425438596489
411	163.3	167.226096491228	161.0875	6.13859649122807	-3.92609649122804
412	153.7	153.628837719298	161.025	-7.39616228070176	0.071162280701742
413	152.9	150.319736842105	161.9	-11.5802631578947	2.58026315789473
414	135.5	137.642105263158	162.770833333333	-25.1287280701754	-2.14210526315793
415	148.5	147.337280701754	162.891666666667	-15.5543859649123	1.16271929824561
416	148.4	152.927741228070	162.470833333333	-9.54309210526316	-4.52774122807017
417	133.6	155.679605263158	161.895833333333	-6.21622807017544	-22.0796052631579
418	194.1	174.410855263158	161.025	13.3858552631579	19.6891447368421
419	208.6	183.414144736842	160.7125	22.7016447368421	25.1858552631579
420	197.3	195.018421052632	160.341666666667	34.6767543859649	2.28157894736844
421	164.4	163.993421052632	160.070833333333	3.92258771929825	0.406578947368445
422	148.1	154.751754385965	160.158333333333	-5.40657894736841	-6.65175438596489
423	152	166.380263157895	160.241666666667	6.13859649122807	-14.3802631578947
424	144.1	152.858004385965	160.254166666667	-7.39616228070176	-8.75800438596491
425	155	147.811403508772	159.391666666667	-11.5802631578947	7.18859649122805
426	124.5	133.350438596491	158.479166666667	-25.1287280701754	-8.85043859649122
427	153	141.978947368421	157.533333333333	-15.5543859649123	11.0210526315790
428	146	146.636074561403	156.179166666667	-9.54309210526316	-0.63607456140349
429	138	149.792105263158	156.008333333333	-6.21622807017544	-11.7921052631579
430	190	170.098355263158	156.7125	13.3858552631579	19.9016447368421
431	192	178.576644736842	155.875	22.7016447368421	13.4233552631579
432	192	189.739254385965	155.0625	34.6767543859649	2.2607456140351
433	147	158.922587719298	155	3.92258771929825	-11.9225877192982
434	133	148.885087719298	154.291666666667	-5.40657894736841	-15.8850877192982
435	163	160.055263157895	153.916666666667	6.13859649122807	2.94473684210527
436	150	145.603837719298	153	-7.39616228070176	4.39616228070179
437	129	139.836403508772	151.416666666667	-11.5802631578947	-10.8364035087719
438	131	125.454605263158	150.583333333333	-25.1287280701754	5.5453947368421
439	145	134.528947368421	150.083333333333	-15.5543859649123	10.4710526315789
440	137	140.623574561404	150.166666666667	-9.54309210526316	-3.62357456140353
441	138	143.825438596491	150.041666666667	-6.21622807017544	-5.82543859649121
442	168	163.052521929825	149.666666666667	13.3858552631579	4.94747807017544
443	176	172.868311403509	150.166666666667	22.7016447368421	3.13168859649124
444	188	185.093421052632	150.416666666667	34.6767543859649	2.90657894736842
445	139	153.547587719298	149.625	3.92258771929825	-14.5475877192982
446	143	143.635087719298	149.041666666667	-5.40657894736841	-0.635087719298269
447	150	155.513596491228	149.375	6.13859649122807	-5.51359649122807
448	154	141.478837719298	148.875	-7.39616228070176	12.5211622807018
449	137	136.628070175439	148.208333333333	-11.5802631578947	0.371929824561391
450	129	122.954605263158	148.083333333333	-25.1287280701754	6.0453947368421
451	128	132.862280701754	148.416666666667	-15.5543859649123	-4.86228070175434
452	140	138.998574561404	148.541666666667	-9.54309210526316	1.00142543859647
453	143	142.533771929825	148.75	-6.21622807017544	0.466228070175418
454	151	161.552521929825	148.166666666667	13.3858552631579	-10.5525219298245
455	177	169.451644736842	146.75	22.7016447368421	7.5483552631579
456	184	181.010087719298	146.333333333333	34.6767543859649	2.98991228070179
457	151	150.047587719298	146.125	3.92258771929825	0.952412280701793
458	134	140.801754385965	146.208333333333	-5.40657894736841	-6.8017543859649
459	164	152.471929824561	146.333333333333	6.13859649122807	11.5280701754386
460	126	139.312171052632	146.708333333333	-7.39616228070176	-13.3121710526316
461	131	136.044736842105	147.625	-11.5802631578947	-5.04473684210527
462	125	122.954605263158	148.083333333333	-25.1287280701754	2.0453947368421
463	127	131.903947368421	147.458333333333	-15.5543859649123	-4.90394736842103
464	143	137.456907894737	147	-9.54309210526316	5.54309210526316
465	143	140.367105263158	146.583333333333	-6.21622807017544	2.63289473684210
466	160	159.510855263158	146.125	13.3858552631579	0.489144736842121
467	190	169.701644736842	147	22.7016447368421	20.2983552631579
468	182	182.718421052632	148.041666666667	34.6767543859649	-0.718421052631584
469	138	NA	147.916666666667	NA	NA
470	136	NA	148	NA	NA
471	152	NA	NA	NA	NA
472	127	NA	NA	NA	NA
473	151	NA	NA	NA	NA
474	130	NA	NA	NA	NA
475	119	NA	NA	NA	NA
476	153	NA	NA	NA	NA

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/1vmd11274469224.png (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/1vmd11274469224.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/2vmd11274469224.png (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/2vmd11274469224.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/35vcm1274469224.png (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/35vcm1274469224.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/45vcm1274469224.png (open in new window)

http://www.freestatistics.org/blog/date/2010/May/21/t12744700275vg32saegaz7dg1/45vcm1274469224.ps (open in new window)

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')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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