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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Sat, 11 Jan 2014 16:23:55 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Jan/11/t1389475452rcd1cfbmi6khhyo.htm/, Retrieved Sun, 19 May 2024 11:13:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232942, Retrieved Sun, 19 May 2024 11:13:14 +0000

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-       [Classical Decomposition] [] [2014-01-11 21:23:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232942&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232942&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	4 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	47.43	NA	NA	0.999846	NA
2	47.43	NA	NA	0.998592	NA
3	47.51	NA	NA	0.998639	NA
4	47.96	NA	NA	0.999434	NA
5	47.99	NA	NA	1.00184	NA
6	48.05	NA	NA	1.00097	NA
7	48.05	47.9524	47.9671	0.999695	1.00203
8	48.01	47.956	48.0521	0.998	1.00113
9	48	48.0442	48.1342	0.99813	0.999081
10	48.06	48.2429	48.1879	1.00114	0.996208
11	48.23	48.3357	48.2267	1.00226	0.997813
12	48.4	48.3385	48.2687	1.00145	1.00127
13	48.4	48.3005	48.3079	0.999846	1.00206
14	48.5	48.2794	48.3475	0.998592	1.00457
15	48.41	48.3204	48.3862	0.998639	1.00185
16	48.35	48.4022	48.4296	0.999434	0.998922
17	48.53	48.5647	48.4754	1.00184	0.999286
18	48.52	48.5581	48.5108	1.00097	0.999216
19	48.52	48.5243	48.5392	0.999695	0.99991
20	48.49	48.4683	48.5654	0.998	1.00045
21	48.45	48.5037	48.5946	0.99813	0.998893
22	48.65	48.6868	48.6313	1.00114	0.999244
23	48.74	48.7888	48.6788	1.00226	0.998999
24	48.74	48.8096	48.7392	1.00145	0.998574
25	48.74	48.7966	48.8042	0.999846	0.998839
26	48.79	48.8033	48.8721	0.998592	0.999728
27	48.82	48.8834	48.95	0.998639	0.998703
28	48.82	49.0064	49.0342	0.999434	0.996196
29	49.2	49.2062	49.1158	1.00184	0.999873
30	49.3	49.2458	49.1979	1.00097	1.0011
31	49.3	49.267	49.2821	0.999695	1.00067
32	49.34	49.2634	49.3621	0.998	1.00156
33	49.47	49.3604	49.4529	0.99813	1.00222
34	49.65	49.6195	49.5629	1.00114	1.00061
35	49.7	49.7877	49.6754	1.00226	0.998238
36	49.75	49.8549	49.7829	1.00145	0.997896
37	49.75	49.8794	49.8871	0.999846	0.997406
38	49.7	49.9192	49.9896	0.998592	0.995609
39	50.09	50.0181	50.0863	0.998639	1.00144
40	50.19	50.1441	50.1725	0.999434	1.00092
41	50.53	50.3567	50.2642	1.00184	1.00344
42	50.55	50.4174	50.3683	1.00097	1.00263
43	50.55	50.4579	50.4733	0.999695	1.00182
44	50.55	50.4805	50.5817	0.998	1.00138
45	50.58	50.5869	50.6817	0.99813	0.999864
46	50.61	50.8305	50.7725	1.00114	0.995662
47	50.94	50.9667	50.8517	1.00226	0.999477
48	51.01	50.9907	50.9171	1.00145	1.00038
49	51.01	50.9751	50.9829	0.999846	1.00069
50	51.04	50.9769	51.0488	0.998592	1.00124
51	51.15	51.0492	51.1188	0.998639	1.00197
52	51.31	51.1827	51.2117	0.999434	1.00249
53	51.31	51.4049	51.3104	1.00184	0.998154
54	51.34	51.4413	51.3912	1.00097	0.998031
55	51.34	51.4514	51.4671	0.999695	0.997835
56	51.34	51.4382	51.5412	0.998	0.998091
57	51.47	51.5152	51.6117	0.99813	0.999123
58	51.95	51.7394	51.6804	1.00114	1.00407
59	51.97	51.8745	51.7575	1.00226	1.00184
60	51.92	51.9191	51.8442	1.00145	1.00002
61	51.92	51.9245	51.9325	0.999846	0.999913
62	51.91	51.948	52.0212	0.998592	0.999269
63	51.97	52.0466	52.1175	0.998639	0.998528
64	52.14	52.1904	52.22	0.999434	0.999033
65	52.33	52.4238	52.3275	1.00184	0.99821
66	52.4	52.4936	52.4425	1.00097	0.998217
67	52.4	52.5431	52.5592	0.999695	0.997276
68	52.41	52.5701	52.6754	0.998	0.996955
69	52.71	52.6905	52.7892	0.99813	1.00037
70	53.17	52.9713	52.9108	1.00114	1.00375
71	53.33	53.1608	53.0408	1.00226	1.00318
72	53.32	53.2448	53.1679	1.00145	1.00141
73	53.32	53.2855	53.2937	0.999846	1.00065
74	53.3	53.346	53.4212	0.998592	0.999137
75	53.31	53.4676	53.5404	0.998639	0.997053
76	53.72	53.613	53.6433	0.999434	1.002
77	53.87	53.8385	53.7396	1.00184	1.00058
78	53.91	53.8908	53.8383	1.00097	1.00036
79	53.91	NA	NA	0.999695	NA
80	53.96	NA	NA	0.998	NA
81	54.02	NA	NA	0.99813	NA
82	54.33	NA	NA	1.00114	NA
83	54.48	NA	NA	1.00226	NA
84	54.54	NA	NA	1.00145	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 47.43 & NA & NA & 0.999846 & NA \tabularnewline
2 & 47.43 & NA & NA & 0.998592 & NA \tabularnewline
3 & 47.51 & NA & NA & 0.998639 & NA \tabularnewline
4 & 47.96 & NA & NA & 0.999434 & NA \tabularnewline
5 & 47.99 & NA & NA & 1.00184 & NA \tabularnewline
6 & 48.05 & NA & NA & 1.00097 & NA \tabularnewline
7 & 48.05 & 47.9524 & 47.9671 & 0.999695 & 1.00203 \tabularnewline
8 & 48.01 & 47.956 & 48.0521 & 0.998 & 1.00113 \tabularnewline
9 & 48 & 48.0442 & 48.1342 & 0.99813 & 0.999081 \tabularnewline
10 & 48.06 & 48.2429 & 48.1879 & 1.00114 & 0.996208 \tabularnewline
11 & 48.23 & 48.3357 & 48.2267 & 1.00226 & 0.997813 \tabularnewline
12 & 48.4 & 48.3385 & 48.2687 & 1.00145 & 1.00127 \tabularnewline
13 & 48.4 & 48.3005 & 48.3079 & 0.999846 & 1.00206 \tabularnewline
14 & 48.5 & 48.2794 & 48.3475 & 0.998592 & 1.00457 \tabularnewline
15 & 48.41 & 48.3204 & 48.3862 & 0.998639 & 1.00185 \tabularnewline
16 & 48.35 & 48.4022 & 48.4296 & 0.999434 & 0.998922 \tabularnewline
17 & 48.53 & 48.5647 & 48.4754 & 1.00184 & 0.999286 \tabularnewline
18 & 48.52 & 48.5581 & 48.5108 & 1.00097 & 0.999216 \tabularnewline
19 & 48.52 & 48.5243 & 48.5392 & 0.999695 & 0.99991 \tabularnewline
20 & 48.49 & 48.4683 & 48.5654 & 0.998 & 1.00045 \tabularnewline
21 & 48.45 & 48.5037 & 48.5946 & 0.99813 & 0.998893 \tabularnewline
22 & 48.65 & 48.6868 & 48.6313 & 1.00114 & 0.999244 \tabularnewline
23 & 48.74 & 48.7888 & 48.6788 & 1.00226 & 0.998999 \tabularnewline
24 & 48.74 & 48.8096 & 48.7392 & 1.00145 & 0.998574 \tabularnewline
25 & 48.74 & 48.7966 & 48.8042 & 0.999846 & 0.998839 \tabularnewline
26 & 48.79 & 48.8033 & 48.8721 & 0.998592 & 0.999728 \tabularnewline
27 & 48.82 & 48.8834 & 48.95 & 0.998639 & 0.998703 \tabularnewline
28 & 48.82 & 49.0064 & 49.0342 & 0.999434 & 0.996196 \tabularnewline
29 & 49.2 & 49.2062 & 49.1158 & 1.00184 & 0.999873 \tabularnewline
30 & 49.3 & 49.2458 & 49.1979 & 1.00097 & 1.0011 \tabularnewline
31 & 49.3 & 49.267 & 49.2821 & 0.999695 & 1.00067 \tabularnewline
32 & 49.34 & 49.2634 & 49.3621 & 0.998 & 1.00156 \tabularnewline
33 & 49.47 & 49.3604 & 49.4529 & 0.99813 & 1.00222 \tabularnewline
34 & 49.65 & 49.6195 & 49.5629 & 1.00114 & 1.00061 \tabularnewline
35 & 49.7 & 49.7877 & 49.6754 & 1.00226 & 0.998238 \tabularnewline
36 & 49.75 & 49.8549 & 49.7829 & 1.00145 & 0.997896 \tabularnewline
37 & 49.75 & 49.8794 & 49.8871 & 0.999846 & 0.997406 \tabularnewline
38 & 49.7 & 49.9192 & 49.9896 & 0.998592 & 0.995609 \tabularnewline
39 & 50.09 & 50.0181 & 50.0863 & 0.998639 & 1.00144 \tabularnewline
40 & 50.19 & 50.1441 & 50.1725 & 0.999434 & 1.00092 \tabularnewline
41 & 50.53 & 50.3567 & 50.2642 & 1.00184 & 1.00344 \tabularnewline
42 & 50.55 & 50.4174 & 50.3683 & 1.00097 & 1.00263 \tabularnewline
43 & 50.55 & 50.4579 & 50.4733 & 0.999695 & 1.00182 \tabularnewline
44 & 50.55 & 50.4805 & 50.5817 & 0.998 & 1.00138 \tabularnewline
45 & 50.58 & 50.5869 & 50.6817 & 0.99813 & 0.999864 \tabularnewline
46 & 50.61 & 50.8305 & 50.7725 & 1.00114 & 0.995662 \tabularnewline
47 & 50.94 & 50.9667 & 50.8517 & 1.00226 & 0.999477 \tabularnewline
48 & 51.01 & 50.9907 & 50.9171 & 1.00145 & 1.00038 \tabularnewline
49 & 51.01 & 50.9751 & 50.9829 & 0.999846 & 1.00069 \tabularnewline
50 & 51.04 & 50.9769 & 51.0488 & 0.998592 & 1.00124 \tabularnewline
51 & 51.15 & 51.0492 & 51.1188 & 0.998639 & 1.00197 \tabularnewline
52 & 51.31 & 51.1827 & 51.2117 & 0.999434 & 1.00249 \tabularnewline
53 & 51.31 & 51.4049 & 51.3104 & 1.00184 & 0.998154 \tabularnewline
54 & 51.34 & 51.4413 & 51.3912 & 1.00097 & 0.998031 \tabularnewline
55 & 51.34 & 51.4514 & 51.4671 & 0.999695 & 0.997835 \tabularnewline
56 & 51.34 & 51.4382 & 51.5412 & 0.998 & 0.998091 \tabularnewline
57 & 51.47 & 51.5152 & 51.6117 & 0.99813 & 0.999123 \tabularnewline
58 & 51.95 & 51.7394 & 51.6804 & 1.00114 & 1.00407 \tabularnewline
59 & 51.97 & 51.8745 & 51.7575 & 1.00226 & 1.00184 \tabularnewline
60 & 51.92 & 51.9191 & 51.8442 & 1.00145 & 1.00002 \tabularnewline
61 & 51.92 & 51.9245 & 51.9325 & 0.999846 & 0.999913 \tabularnewline
62 & 51.91 & 51.948 & 52.0212 & 0.998592 & 0.999269 \tabularnewline
63 & 51.97 & 52.0466 & 52.1175 & 0.998639 & 0.998528 \tabularnewline
64 & 52.14 & 52.1904 & 52.22 & 0.999434 & 0.999033 \tabularnewline
65 & 52.33 & 52.4238 & 52.3275 & 1.00184 & 0.99821 \tabularnewline
66 & 52.4 & 52.4936 & 52.4425 & 1.00097 & 0.998217 \tabularnewline
67 & 52.4 & 52.5431 & 52.5592 & 0.999695 & 0.997276 \tabularnewline
68 & 52.41 & 52.5701 & 52.6754 & 0.998 & 0.996955 \tabularnewline
69 & 52.71 & 52.6905 & 52.7892 & 0.99813 & 1.00037 \tabularnewline
70 & 53.17 & 52.9713 & 52.9108 & 1.00114 & 1.00375 \tabularnewline
71 & 53.33 & 53.1608 & 53.0408 & 1.00226 & 1.00318 \tabularnewline
72 & 53.32 & 53.2448 & 53.1679 & 1.00145 & 1.00141 \tabularnewline
73 & 53.32 & 53.2855 & 53.2937 & 0.999846 & 1.00065 \tabularnewline
74 & 53.3 & 53.346 & 53.4212 & 0.998592 & 0.999137 \tabularnewline
75 & 53.31 & 53.4676 & 53.5404 & 0.998639 & 0.997053 \tabularnewline
76 & 53.72 & 53.613 & 53.6433 & 0.999434 & 1.002 \tabularnewline
77 & 53.87 & 53.8385 & 53.7396 & 1.00184 & 1.00058 \tabularnewline
78 & 53.91 & 53.8908 & 53.8383 & 1.00097 & 1.00036 \tabularnewline
79 & 53.91 & NA & NA & 0.999695 & NA \tabularnewline
80 & 53.96 & NA & NA & 0.998 & NA \tabularnewline
81 & 54.02 & NA & NA & 0.99813 & NA \tabularnewline
82 & 54.33 & NA & NA & 1.00114 & NA \tabularnewline
83 & 54.48 & NA & NA & 1.00226 & NA \tabularnewline
84 & 54.54 & NA & NA & 1.00145 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232942&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]47.43[/C][C]NA[/C][C]NA[/C][C]0.999846[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]47.43[/C][C]NA[/C][C]NA[/C][C]0.998592[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]47.51[/C][C]NA[/C][C]NA[/C][C]0.998639[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]47.96[/C][C]NA[/C][C]NA[/C][C]0.999434[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]47.99[/C][C]NA[/C][C]NA[/C][C]1.00184[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]48.05[/C][C]NA[/C][C]NA[/C][C]1.00097[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]48.05[/C][C]47.9524[/C][C]47.9671[/C][C]0.999695[/C][C]1.00203[/C][/ROW]
[ROW][C]8[/C][C]48.01[/C][C]47.956[/C][C]48.0521[/C][C]0.998[/C][C]1.00113[/C][/ROW]
[ROW][C]9[/C][C]48[/C][C]48.0442[/C][C]48.1342[/C][C]0.99813[/C][C]0.999081[/C][/ROW]
[ROW][C]10[/C][C]48.06[/C][C]48.2429[/C][C]48.1879[/C][C]1.00114[/C][C]0.996208[/C][/ROW]
[ROW][C]11[/C][C]48.23[/C][C]48.3357[/C][C]48.2267[/C][C]1.00226[/C][C]0.997813[/C][/ROW]
[ROW][C]12[/C][C]48.4[/C][C]48.3385[/C][C]48.2687[/C][C]1.00145[/C][C]1.00127[/C][/ROW]
[ROW][C]13[/C][C]48.4[/C][C]48.3005[/C][C]48.3079[/C][C]0.999846[/C][C]1.00206[/C][/ROW]
[ROW][C]14[/C][C]48.5[/C][C]48.2794[/C][C]48.3475[/C][C]0.998592[/C][C]1.00457[/C][/ROW]
[ROW][C]15[/C][C]48.41[/C][C]48.3204[/C][C]48.3862[/C][C]0.998639[/C][C]1.00185[/C][/ROW]
[ROW][C]16[/C][C]48.35[/C][C]48.4022[/C][C]48.4296[/C][C]0.999434[/C][C]0.998922[/C][/ROW]
[ROW][C]17[/C][C]48.53[/C][C]48.5647[/C][C]48.4754[/C][C]1.00184[/C][C]0.999286[/C][/ROW]
[ROW][C]18[/C][C]48.52[/C][C]48.5581[/C][C]48.5108[/C][C]1.00097[/C][C]0.999216[/C][/ROW]
[ROW][C]19[/C][C]48.52[/C][C]48.5243[/C][C]48.5392[/C][C]0.999695[/C][C]0.99991[/C][/ROW]
[ROW][C]20[/C][C]48.49[/C][C]48.4683[/C][C]48.5654[/C][C]0.998[/C][C]1.00045[/C][/ROW]
[ROW][C]21[/C][C]48.45[/C][C]48.5037[/C][C]48.5946[/C][C]0.99813[/C][C]0.998893[/C][/ROW]
[ROW][C]22[/C][C]48.65[/C][C]48.6868[/C][C]48.6313[/C][C]1.00114[/C][C]0.999244[/C][/ROW]
[ROW][C]23[/C][C]48.74[/C][C]48.7888[/C][C]48.6788[/C][C]1.00226[/C][C]0.998999[/C][/ROW]
[ROW][C]24[/C][C]48.74[/C][C]48.8096[/C][C]48.7392[/C][C]1.00145[/C][C]0.998574[/C][/ROW]
[ROW][C]25[/C][C]48.74[/C][C]48.7966[/C][C]48.8042[/C][C]0.999846[/C][C]0.998839[/C][/ROW]
[ROW][C]26[/C][C]48.79[/C][C]48.8033[/C][C]48.8721[/C][C]0.998592[/C][C]0.999728[/C][/ROW]
[ROW][C]27[/C][C]48.82[/C][C]48.8834[/C][C]48.95[/C][C]0.998639[/C][C]0.998703[/C][/ROW]
[ROW][C]28[/C][C]48.82[/C][C]49.0064[/C][C]49.0342[/C][C]0.999434[/C][C]0.996196[/C][/ROW]
[ROW][C]29[/C][C]49.2[/C][C]49.2062[/C][C]49.1158[/C][C]1.00184[/C][C]0.999873[/C][/ROW]
[ROW][C]30[/C][C]49.3[/C][C]49.2458[/C][C]49.1979[/C][C]1.00097[/C][C]1.0011[/C][/ROW]
[ROW][C]31[/C][C]49.3[/C][C]49.267[/C][C]49.2821[/C][C]0.999695[/C][C]1.00067[/C][/ROW]
[ROW][C]32[/C][C]49.34[/C][C]49.2634[/C][C]49.3621[/C][C]0.998[/C][C]1.00156[/C][/ROW]
[ROW][C]33[/C][C]49.47[/C][C]49.3604[/C][C]49.4529[/C][C]0.99813[/C][C]1.00222[/C][/ROW]
[ROW][C]34[/C][C]49.65[/C][C]49.6195[/C][C]49.5629[/C][C]1.00114[/C][C]1.00061[/C][/ROW]
[ROW][C]35[/C][C]49.7[/C][C]49.7877[/C][C]49.6754[/C][C]1.00226[/C][C]0.998238[/C][/ROW]
[ROW][C]36[/C][C]49.75[/C][C]49.8549[/C][C]49.7829[/C][C]1.00145[/C][C]0.997896[/C][/ROW]
[ROW][C]37[/C][C]49.75[/C][C]49.8794[/C][C]49.8871[/C][C]0.999846[/C][C]0.997406[/C][/ROW]
[ROW][C]38[/C][C]49.7[/C][C]49.9192[/C][C]49.9896[/C][C]0.998592[/C][C]0.995609[/C][/ROW]
[ROW][C]39[/C][C]50.09[/C][C]50.0181[/C][C]50.0863[/C][C]0.998639[/C][C]1.00144[/C][/ROW]
[ROW][C]40[/C][C]50.19[/C][C]50.1441[/C][C]50.1725[/C][C]0.999434[/C][C]1.00092[/C][/ROW]
[ROW][C]41[/C][C]50.53[/C][C]50.3567[/C][C]50.2642[/C][C]1.00184[/C][C]1.00344[/C][/ROW]
[ROW][C]42[/C][C]50.55[/C][C]50.4174[/C][C]50.3683[/C][C]1.00097[/C][C]1.00263[/C][/ROW]
[ROW][C]43[/C][C]50.55[/C][C]50.4579[/C][C]50.4733[/C][C]0.999695[/C][C]1.00182[/C][/ROW]
[ROW][C]44[/C][C]50.55[/C][C]50.4805[/C][C]50.5817[/C][C]0.998[/C][C]1.00138[/C][/ROW]
[ROW][C]45[/C][C]50.58[/C][C]50.5869[/C][C]50.6817[/C][C]0.99813[/C][C]0.999864[/C][/ROW]
[ROW][C]46[/C][C]50.61[/C][C]50.8305[/C][C]50.7725[/C][C]1.00114[/C][C]0.995662[/C][/ROW]
[ROW][C]47[/C][C]50.94[/C][C]50.9667[/C][C]50.8517[/C][C]1.00226[/C][C]0.999477[/C][/ROW]
[ROW][C]48[/C][C]51.01[/C][C]50.9907[/C][C]50.9171[/C][C]1.00145[/C][C]1.00038[/C][/ROW]
[ROW][C]49[/C][C]51.01[/C][C]50.9751[/C][C]50.9829[/C][C]0.999846[/C][C]1.00069[/C][/ROW]
[ROW][C]50[/C][C]51.04[/C][C]50.9769[/C][C]51.0488[/C][C]0.998592[/C][C]1.00124[/C][/ROW]
[ROW][C]51[/C][C]51.15[/C][C]51.0492[/C][C]51.1188[/C][C]0.998639[/C][C]1.00197[/C][/ROW]
[ROW][C]52[/C][C]51.31[/C][C]51.1827[/C][C]51.2117[/C][C]0.999434[/C][C]1.00249[/C][/ROW]
[ROW][C]53[/C][C]51.31[/C][C]51.4049[/C][C]51.3104[/C][C]1.00184[/C][C]0.998154[/C][/ROW]
[ROW][C]54[/C][C]51.34[/C][C]51.4413[/C][C]51.3912[/C][C]1.00097[/C][C]0.998031[/C][/ROW]
[ROW][C]55[/C][C]51.34[/C][C]51.4514[/C][C]51.4671[/C][C]0.999695[/C][C]0.997835[/C][/ROW]
[ROW][C]56[/C][C]51.34[/C][C]51.4382[/C][C]51.5412[/C][C]0.998[/C][C]0.998091[/C][/ROW]
[ROW][C]57[/C][C]51.47[/C][C]51.5152[/C][C]51.6117[/C][C]0.99813[/C][C]0.999123[/C][/ROW]
[ROW][C]58[/C][C]51.95[/C][C]51.7394[/C][C]51.6804[/C][C]1.00114[/C][C]1.00407[/C][/ROW]
[ROW][C]59[/C][C]51.97[/C][C]51.8745[/C][C]51.7575[/C][C]1.00226[/C][C]1.00184[/C][/ROW]
[ROW][C]60[/C][C]51.92[/C][C]51.9191[/C][C]51.8442[/C][C]1.00145[/C][C]1.00002[/C][/ROW]
[ROW][C]61[/C][C]51.92[/C][C]51.9245[/C][C]51.9325[/C][C]0.999846[/C][C]0.999913[/C][/ROW]
[ROW][C]62[/C][C]51.91[/C][C]51.948[/C][C]52.0212[/C][C]0.998592[/C][C]0.999269[/C][/ROW]
[ROW][C]63[/C][C]51.97[/C][C]52.0466[/C][C]52.1175[/C][C]0.998639[/C][C]0.998528[/C][/ROW]
[ROW][C]64[/C][C]52.14[/C][C]52.1904[/C][C]52.22[/C][C]0.999434[/C][C]0.999033[/C][/ROW]
[ROW][C]65[/C][C]52.33[/C][C]52.4238[/C][C]52.3275[/C][C]1.00184[/C][C]0.99821[/C][/ROW]
[ROW][C]66[/C][C]52.4[/C][C]52.4936[/C][C]52.4425[/C][C]1.00097[/C][C]0.998217[/C][/ROW]
[ROW][C]67[/C][C]52.4[/C][C]52.5431[/C][C]52.5592[/C][C]0.999695[/C][C]0.997276[/C][/ROW]
[ROW][C]68[/C][C]52.41[/C][C]52.5701[/C][C]52.6754[/C][C]0.998[/C][C]0.996955[/C][/ROW]
[ROW][C]69[/C][C]52.71[/C][C]52.6905[/C][C]52.7892[/C][C]0.99813[/C][C]1.00037[/C][/ROW]
[ROW][C]70[/C][C]53.17[/C][C]52.9713[/C][C]52.9108[/C][C]1.00114[/C][C]1.00375[/C][/ROW]
[ROW][C]71[/C][C]53.33[/C][C]53.1608[/C][C]53.0408[/C][C]1.00226[/C][C]1.00318[/C][/ROW]
[ROW][C]72[/C][C]53.32[/C][C]53.2448[/C][C]53.1679[/C][C]1.00145[/C][C]1.00141[/C][/ROW]
[ROW][C]73[/C][C]53.32[/C][C]53.2855[/C][C]53.2937[/C][C]0.999846[/C][C]1.00065[/C][/ROW]
[ROW][C]74[/C][C]53.3[/C][C]53.346[/C][C]53.4212[/C][C]0.998592[/C][C]0.999137[/C][/ROW]
[ROW][C]75[/C][C]53.31[/C][C]53.4676[/C][C]53.5404[/C][C]0.998639[/C][C]0.997053[/C][/ROW]
[ROW][C]76[/C][C]53.72[/C][C]53.613[/C][C]53.6433[/C][C]0.999434[/C][C]1.002[/C][/ROW]
[ROW][C]77[/C][C]53.87[/C][C]53.8385[/C][C]53.7396[/C][C]1.00184[/C][C]1.00058[/C][/ROW]
[ROW][C]78[/C][C]53.91[/C][C]53.8908[/C][C]53.8383[/C][C]1.00097[/C][C]1.00036[/C][/ROW]
[ROW][C]79[/C][C]53.91[/C][C]NA[/C][C]NA[/C][C]0.999695[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]53.96[/C][C]NA[/C][C]NA[/C][C]0.998[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]54.02[/C][C]NA[/C][C]NA[/C][C]0.99813[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]54.33[/C][C]NA[/C][C]NA[/C][C]1.00114[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]54.48[/C][C]NA[/C][C]NA[/C][C]1.00226[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]54.54[/C][C]NA[/C][C]NA[/C][C]1.00145[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232942&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	47.43	NA	NA	0.999846	NA
2	47.43	NA	NA	0.998592	NA
3	47.51	NA	NA	0.998639	NA
4	47.96	NA	NA	0.999434	NA
5	47.99	NA	NA	1.00184	NA
6	48.05	NA	NA	1.00097	NA
7	48.05	47.9524	47.9671	0.999695	1.00203
8	48.01	47.956	48.0521	0.998	1.00113
9	48	48.0442	48.1342	0.99813	0.999081
10	48.06	48.2429	48.1879	1.00114	0.996208
11	48.23	48.3357	48.2267	1.00226	0.997813
12	48.4	48.3385	48.2687	1.00145	1.00127
13	48.4	48.3005	48.3079	0.999846	1.00206
14	48.5	48.2794	48.3475	0.998592	1.00457
15	48.41	48.3204	48.3862	0.998639	1.00185
16	48.35	48.4022	48.4296	0.999434	0.998922
17	48.53	48.5647	48.4754	1.00184	0.999286
18	48.52	48.5581	48.5108	1.00097	0.999216
19	48.52	48.5243	48.5392	0.999695	0.99991
20	48.49	48.4683	48.5654	0.998	1.00045
21	48.45	48.5037	48.5946	0.99813	0.998893
22	48.65	48.6868	48.6313	1.00114	0.999244
23	48.74	48.7888	48.6788	1.00226	0.998999
24	48.74	48.8096	48.7392	1.00145	0.998574
25	48.74	48.7966	48.8042	0.999846	0.998839
26	48.79	48.8033	48.8721	0.998592	0.999728
27	48.82	48.8834	48.95	0.998639	0.998703
28	48.82	49.0064	49.0342	0.999434	0.996196
29	49.2	49.2062	49.1158	1.00184	0.999873
30	49.3	49.2458	49.1979	1.00097	1.0011
31	49.3	49.267	49.2821	0.999695	1.00067
32	49.34	49.2634	49.3621	0.998	1.00156
33	49.47	49.3604	49.4529	0.99813	1.00222
34	49.65	49.6195	49.5629	1.00114	1.00061
35	49.7	49.7877	49.6754	1.00226	0.998238
36	49.75	49.8549	49.7829	1.00145	0.997896
37	49.75	49.8794	49.8871	0.999846	0.997406
38	49.7	49.9192	49.9896	0.998592	0.995609
39	50.09	50.0181	50.0863	0.998639	1.00144
40	50.19	50.1441	50.1725	0.999434	1.00092
41	50.53	50.3567	50.2642	1.00184	1.00344
42	50.55	50.4174	50.3683	1.00097	1.00263
43	50.55	50.4579	50.4733	0.999695	1.00182
44	50.55	50.4805	50.5817	0.998	1.00138
45	50.58	50.5869	50.6817	0.99813	0.999864
46	50.61	50.8305	50.7725	1.00114	0.995662
47	50.94	50.9667	50.8517	1.00226	0.999477
48	51.01	50.9907	50.9171	1.00145	1.00038
49	51.01	50.9751	50.9829	0.999846	1.00069
50	51.04	50.9769	51.0488	0.998592	1.00124
51	51.15	51.0492	51.1188	0.998639	1.00197
52	51.31	51.1827	51.2117	0.999434	1.00249
53	51.31	51.4049	51.3104	1.00184	0.998154
54	51.34	51.4413	51.3912	1.00097	0.998031
55	51.34	51.4514	51.4671	0.999695	0.997835
56	51.34	51.4382	51.5412	0.998	0.998091
57	51.47	51.5152	51.6117	0.99813	0.999123
58	51.95	51.7394	51.6804	1.00114	1.00407
59	51.97	51.8745	51.7575	1.00226	1.00184
60	51.92	51.9191	51.8442	1.00145	1.00002
61	51.92	51.9245	51.9325	0.999846	0.999913
62	51.91	51.948	52.0212	0.998592	0.999269
63	51.97	52.0466	52.1175	0.998639	0.998528
64	52.14	52.1904	52.22	0.999434	0.999033
65	52.33	52.4238	52.3275	1.00184	0.99821
66	52.4	52.4936	52.4425	1.00097	0.998217
67	52.4	52.5431	52.5592	0.999695	0.997276
68	52.41	52.5701	52.6754	0.998	0.996955
69	52.71	52.6905	52.7892	0.99813	1.00037
70	53.17	52.9713	52.9108	1.00114	1.00375
71	53.33	53.1608	53.0408	1.00226	1.00318
72	53.32	53.2448	53.1679	1.00145	1.00141
73	53.32	53.2855	53.2937	0.999846	1.00065
74	53.3	53.346	53.4212	0.998592	0.999137
75	53.31	53.4676	53.5404	0.998639	0.997053
76	53.72	53.613	53.6433	0.999434	1.002
77	53.87	53.8385	53.7396	1.00184	1.00058
78	53.91	53.8908	53.8383	1.00097	1.00036
79	53.91	NA	NA	0.999695	NA
80	53.96	NA	NA	0.998	NA
81	54.02	NA	NA	0.99813	NA
82	54.33	NA	NA	1.00114	NA
83	54.48	NA	NA	1.00226	NA
84	54.54	NA	NA	1.00145	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
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