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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 29 Nov 2015 20:08:29 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/29/t1448828099weuagn5cze20xq5.htm/, Retrieved Wed, 15 May 2024 05:27:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284514, Retrieved Wed, 15 May 2024 05:27:42 +0000

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-       [Classical Decomposition] [Consumptieprijsin...] [2015-11-29 20:08:29] [91f26e786dd8a1c147ebc049dd81fbad] [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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284514&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284514&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284514&T=0

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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	'Sir Maurice George Kendall' @ kendall.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	73.97	NA	NA	0.997749	NA
2	75.01	NA	NA	0.996296	NA
3	75.98	NA	NA	0.991497	NA
4	78.85	NA	NA	0.992884	NA
5	79.34	NA	NA	0.997677	NA
6	79.62	NA	NA	0.999678	NA
7	79.76	79.2988	78.7129	1.00744	1.00582
8	79.62	79.769	79.1833	1.0074	0.998132
9	79.89	80.0084	79.5867	1.0053	0.998521
10	79.88	80.2686	79.8946	1.00468	0.995159
11	79.97	80.2827	80.1488	1.00167	0.996105
12	79.63	80.2153	80.3979	0.997729	0.992703
13	80.04	80.4414	80.6229	0.997749	0.99501
14	80.23	80.5526	80.8521	0.996296	0.995995
15	80.44	80.3753	81.0646	0.991497	1.00081
16	81.78	80.6962	81.2746	0.992884	1.01343
17	82.51	81.3078	81.4971	0.997677	1.01479
18	82.43	81.6724	81.6987	0.999678	1.00928
19	82.35	82.4924	81.8829	1.00744	0.998274
20	82.53	82.6607	82.0537	1.0074	0.998419
21	82.08	82.6603	82.2246	1.0053	0.99298
22	82.73	82.7426	82.3571	1.00468	0.999847
23	82.46	82.5961	82.4583	1.00167	0.998352
24	81.98	82.4216	82.6092	0.997729	0.994642
25	82.11	82.6074	82.7938	0.997749	0.993979
26	82.26	82.6714	82.9787	0.996296	0.995024
27	82.51	82.4888	83.1962	0.991497	1.00026
28	82.89	82.8061	83.3996	0.992884	1.00101
29	83.83	83.3742	83.5683	0.997677	1.00547
30	84.73	83.7426	83.7696	0.999678	1.01179
31	84.48	84.6093	83.9842	1.00744	0.998472
32	84.84	84.8018	84.1792	1.0074	1.00045
33	84.99	84.7944	84.3475	1.0053	1.00231
34	84.7	84.8822	84.4867	1.00468	0.997854
35	84.54	84.7113	84.57	1.00167	0.997977
36	84.73	84.3788	84.5708	0.997729	1.00416
37	84.51	84.3559	84.5462	0.997749	1.00183
38	84.54	84.2123	84.5254	0.996296	1.00389
39	84.27	83.7534	84.4717	0.991497	1.00617
40	84.47	83.8085	84.4092	0.992884	1.00789
41	84.25	84.1723	84.3683	0.997677	1.00092
42	84.33	84.2682	84.2954	0.999678	1.00073
43	84.29	84.8309	84.2042	1.00744	0.993623
44	84.53	84.7619	84.1396	1.0074	0.997264
45	84.01	84.5217	84.0762	1.0053	0.993945
46	84.18	84.3702	83.9771	1.00468	0.997746
47	84.08	83.9922	83.8521	1.00167	1.00105
48	83.44	83.559	83.7492	0.997729	0.998576
49	83.61	83.665	83.8538	0.997749	0.999343
50	83.89	83.8732	84.185	0.996296	1.0002
51	83.4	83.8562	84.5754	0.991497	0.994559
52	82.96	84.3724	84.9771	0.992884	0.98326
53	82.76	85.2137	85.4121	0.997677	0.971206
54	83.35	85.9181	85.9458	0.999678	0.97011
55	87.78	87.2841	86.6392	1.00744	1.00568
56	88.99	88.054	87.4075	1.0074	1.01063
57	88.92	88.6544	88.1871	1.0053	1.003
58	88.91	89.5292	89.1121	1.00468	0.993083
59	89.79	90.5356	90.3846	1.00167	0.991764
60	90.54	91.7794	91.9883	0.997729	0.986495
61	93.15	93.3028	93.5133	0.997749	0.998362
62	92.79	94.4717	94.8229	0.996296	0.982199
63	93.21	95.2956	96.1129	0.991497	0.978114
64	95.35	96.7553	97.4488	0.992884	0.985476
65	100.91	98.5277	98.7571	0.997677	1.02418
66	103.69	99.9507	99.9829	0.999678	1.03741
67	104.04	101.82	101.068	1.00744	1.0218
68	104.16	102.823	102.068	1.0074	1.013
69	104.71	103.6	103.054	1.0053	1.01072
70	105.18	104.342	103.856	1.00468	1.00803
71	104.92	104.425	104.25	1.00167	1.00474
72	104.83	103.973	104.209	0.997729	1.00825
73	104.9	103.748	103.982	0.997749	1.0111
74	105.05	103.403	103.787	0.996296	1.01593
75	104.6	102.743	103.625	0.991497	1.01807
76	103.21	102.689	103.425	0.992884	1.00508
77	102.52	102.943	103.182	0.997677	0.995893
78	101.09	102.896	102.93	0.999678	0.982444
79	101.19	103.43	102.666	1.00744	0.978343
80	102.34	103.155	102.398	1.0074	0.992096
81	102.62	102.671	102.13	1.0053	0.999506
82	102.47	102.349	101.872	1.00468	1.00118
83	101.82	101.817	101.648	1.00167	1.00003
84	101.86	101.262	101.492	0.997729	1.00591
85	101.54	101.166	101.395	0.997749	1.00369
86	101.98	100.823	101.197	0.996296	1.01148
87	101.23	100.044	100.902	0.991497	1.01185
88	100.4	99.9126	100.629	0.992884	1.00488
89	99.94	100.16	100.393	0.997677	0.997802
90	99.94	100.11	100.142	0.999678	0.998304
91	100	100.56	99.8167	1.00744	0.994435
92	98.8	100.157	99.4212	1.0074	0.986455
93	99.07	99.5204	98.9958	1.0053	0.995474
94	99.46	99.1089	98.6471	1.00468	1.00354
95	99.18	98.5461	98.3817	1.00167	1.00643
96	98.47	97.9109	98.1337	0.997729	1.00571
97	97.12	97.7919	98.0125	0.997749	0.993129
98	96.91	97.7183	98.0817	0.996296	0.991728
99	96.09	97.3935	98.2287	0.991497	0.986617
100	97.17	97.6174	98.3171	0.992884	0.995417
101	96.8	98.1556	98.3842	0.997677	0.986189
102	97.13	98.4716	98.5033	0.999678	0.986376
103	99.9	NA	NA	1.00744	NA
104	100.56	NA	NA	1.0074	NA
105	100.84	NA	NA	1.0053	NA
106	99.81	NA	NA	1.00468	NA
107	100.44	NA	NA	1.00167	NA
108	100.07	NA	NA	0.997729	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 73.97 & NA & NA & 0.997749 & NA \tabularnewline
2 & 75.01 & NA & NA & 0.996296 & NA \tabularnewline
3 & 75.98 & NA & NA & 0.991497 & NA \tabularnewline
4 & 78.85 & NA & NA & 0.992884 & NA \tabularnewline
5 & 79.34 & NA & NA & 0.997677 & NA \tabularnewline
6 & 79.62 & NA & NA & 0.999678 & NA \tabularnewline
7 & 79.76 & 79.2988 & 78.7129 & 1.00744 & 1.00582 \tabularnewline
8 & 79.62 & 79.769 & 79.1833 & 1.0074 & 0.998132 \tabularnewline
9 & 79.89 & 80.0084 & 79.5867 & 1.0053 & 0.998521 \tabularnewline
10 & 79.88 & 80.2686 & 79.8946 & 1.00468 & 0.995159 \tabularnewline
11 & 79.97 & 80.2827 & 80.1488 & 1.00167 & 0.996105 \tabularnewline
12 & 79.63 & 80.2153 & 80.3979 & 0.997729 & 0.992703 \tabularnewline
13 & 80.04 & 80.4414 & 80.6229 & 0.997749 & 0.99501 \tabularnewline
14 & 80.23 & 80.5526 & 80.8521 & 0.996296 & 0.995995 \tabularnewline
15 & 80.44 & 80.3753 & 81.0646 & 0.991497 & 1.00081 \tabularnewline
16 & 81.78 & 80.6962 & 81.2746 & 0.992884 & 1.01343 \tabularnewline
17 & 82.51 & 81.3078 & 81.4971 & 0.997677 & 1.01479 \tabularnewline
18 & 82.43 & 81.6724 & 81.6987 & 0.999678 & 1.00928 \tabularnewline
19 & 82.35 & 82.4924 & 81.8829 & 1.00744 & 0.998274 \tabularnewline
20 & 82.53 & 82.6607 & 82.0537 & 1.0074 & 0.998419 \tabularnewline
21 & 82.08 & 82.6603 & 82.2246 & 1.0053 & 0.99298 \tabularnewline
22 & 82.73 & 82.7426 & 82.3571 & 1.00468 & 0.999847 \tabularnewline
23 & 82.46 & 82.5961 & 82.4583 & 1.00167 & 0.998352 \tabularnewline
24 & 81.98 & 82.4216 & 82.6092 & 0.997729 & 0.994642 \tabularnewline
25 & 82.11 & 82.6074 & 82.7938 & 0.997749 & 0.993979 \tabularnewline
26 & 82.26 & 82.6714 & 82.9787 & 0.996296 & 0.995024 \tabularnewline
27 & 82.51 & 82.4888 & 83.1962 & 0.991497 & 1.00026 \tabularnewline
28 & 82.89 & 82.8061 & 83.3996 & 0.992884 & 1.00101 \tabularnewline
29 & 83.83 & 83.3742 & 83.5683 & 0.997677 & 1.00547 \tabularnewline
30 & 84.73 & 83.7426 & 83.7696 & 0.999678 & 1.01179 \tabularnewline
31 & 84.48 & 84.6093 & 83.9842 & 1.00744 & 0.998472 \tabularnewline
32 & 84.84 & 84.8018 & 84.1792 & 1.0074 & 1.00045 \tabularnewline
33 & 84.99 & 84.7944 & 84.3475 & 1.0053 & 1.00231 \tabularnewline
34 & 84.7 & 84.8822 & 84.4867 & 1.00468 & 0.997854 \tabularnewline
35 & 84.54 & 84.7113 & 84.57 & 1.00167 & 0.997977 \tabularnewline
36 & 84.73 & 84.3788 & 84.5708 & 0.997729 & 1.00416 \tabularnewline
37 & 84.51 & 84.3559 & 84.5462 & 0.997749 & 1.00183 \tabularnewline
38 & 84.54 & 84.2123 & 84.5254 & 0.996296 & 1.00389 \tabularnewline
39 & 84.27 & 83.7534 & 84.4717 & 0.991497 & 1.00617 \tabularnewline
40 & 84.47 & 83.8085 & 84.4092 & 0.992884 & 1.00789 \tabularnewline
41 & 84.25 & 84.1723 & 84.3683 & 0.997677 & 1.00092 \tabularnewline
42 & 84.33 & 84.2682 & 84.2954 & 0.999678 & 1.00073 \tabularnewline
43 & 84.29 & 84.8309 & 84.2042 & 1.00744 & 0.993623 \tabularnewline
44 & 84.53 & 84.7619 & 84.1396 & 1.0074 & 0.997264 \tabularnewline
45 & 84.01 & 84.5217 & 84.0762 & 1.0053 & 0.993945 \tabularnewline
46 & 84.18 & 84.3702 & 83.9771 & 1.00468 & 0.997746 \tabularnewline
47 & 84.08 & 83.9922 & 83.8521 & 1.00167 & 1.00105 \tabularnewline
48 & 83.44 & 83.559 & 83.7492 & 0.997729 & 0.998576 \tabularnewline
49 & 83.61 & 83.665 & 83.8538 & 0.997749 & 0.999343 \tabularnewline
50 & 83.89 & 83.8732 & 84.185 & 0.996296 & 1.0002 \tabularnewline
51 & 83.4 & 83.8562 & 84.5754 & 0.991497 & 0.994559 \tabularnewline
52 & 82.96 & 84.3724 & 84.9771 & 0.992884 & 0.98326 \tabularnewline
53 & 82.76 & 85.2137 & 85.4121 & 0.997677 & 0.971206 \tabularnewline
54 & 83.35 & 85.9181 & 85.9458 & 0.999678 & 0.97011 \tabularnewline
55 & 87.78 & 87.2841 & 86.6392 & 1.00744 & 1.00568 \tabularnewline
56 & 88.99 & 88.054 & 87.4075 & 1.0074 & 1.01063 \tabularnewline
57 & 88.92 & 88.6544 & 88.1871 & 1.0053 & 1.003 \tabularnewline
58 & 88.91 & 89.5292 & 89.1121 & 1.00468 & 0.993083 \tabularnewline
59 & 89.79 & 90.5356 & 90.3846 & 1.00167 & 0.991764 \tabularnewline
60 & 90.54 & 91.7794 & 91.9883 & 0.997729 & 0.986495 \tabularnewline
61 & 93.15 & 93.3028 & 93.5133 & 0.997749 & 0.998362 \tabularnewline
62 & 92.79 & 94.4717 & 94.8229 & 0.996296 & 0.982199 \tabularnewline
63 & 93.21 & 95.2956 & 96.1129 & 0.991497 & 0.978114 \tabularnewline
64 & 95.35 & 96.7553 & 97.4488 & 0.992884 & 0.985476 \tabularnewline
65 & 100.91 & 98.5277 & 98.7571 & 0.997677 & 1.02418 \tabularnewline
66 & 103.69 & 99.9507 & 99.9829 & 0.999678 & 1.03741 \tabularnewline
67 & 104.04 & 101.82 & 101.068 & 1.00744 & 1.0218 \tabularnewline
68 & 104.16 & 102.823 & 102.068 & 1.0074 & 1.013 \tabularnewline
69 & 104.71 & 103.6 & 103.054 & 1.0053 & 1.01072 \tabularnewline
70 & 105.18 & 104.342 & 103.856 & 1.00468 & 1.00803 \tabularnewline
71 & 104.92 & 104.425 & 104.25 & 1.00167 & 1.00474 \tabularnewline
72 & 104.83 & 103.973 & 104.209 & 0.997729 & 1.00825 \tabularnewline
73 & 104.9 & 103.748 & 103.982 & 0.997749 & 1.0111 \tabularnewline
74 & 105.05 & 103.403 & 103.787 & 0.996296 & 1.01593 \tabularnewline
75 & 104.6 & 102.743 & 103.625 & 0.991497 & 1.01807 \tabularnewline
76 & 103.21 & 102.689 & 103.425 & 0.992884 & 1.00508 \tabularnewline
77 & 102.52 & 102.943 & 103.182 & 0.997677 & 0.995893 \tabularnewline
78 & 101.09 & 102.896 & 102.93 & 0.999678 & 0.982444 \tabularnewline
79 & 101.19 & 103.43 & 102.666 & 1.00744 & 0.978343 \tabularnewline
80 & 102.34 & 103.155 & 102.398 & 1.0074 & 0.992096 \tabularnewline
81 & 102.62 & 102.671 & 102.13 & 1.0053 & 0.999506 \tabularnewline
82 & 102.47 & 102.349 & 101.872 & 1.00468 & 1.00118 \tabularnewline
83 & 101.82 & 101.817 & 101.648 & 1.00167 & 1.00003 \tabularnewline
84 & 101.86 & 101.262 & 101.492 & 0.997729 & 1.00591 \tabularnewline
85 & 101.54 & 101.166 & 101.395 & 0.997749 & 1.00369 \tabularnewline
86 & 101.98 & 100.823 & 101.197 & 0.996296 & 1.01148 \tabularnewline
87 & 101.23 & 100.044 & 100.902 & 0.991497 & 1.01185 \tabularnewline
88 & 100.4 & 99.9126 & 100.629 & 0.992884 & 1.00488 \tabularnewline
89 & 99.94 & 100.16 & 100.393 & 0.997677 & 0.997802 \tabularnewline
90 & 99.94 & 100.11 & 100.142 & 0.999678 & 0.998304 \tabularnewline
91 & 100 & 100.56 & 99.8167 & 1.00744 & 0.994435 \tabularnewline
92 & 98.8 & 100.157 & 99.4212 & 1.0074 & 0.986455 \tabularnewline
93 & 99.07 & 99.5204 & 98.9958 & 1.0053 & 0.995474 \tabularnewline
94 & 99.46 & 99.1089 & 98.6471 & 1.00468 & 1.00354 \tabularnewline
95 & 99.18 & 98.5461 & 98.3817 & 1.00167 & 1.00643 \tabularnewline
96 & 98.47 & 97.9109 & 98.1337 & 0.997729 & 1.00571 \tabularnewline
97 & 97.12 & 97.7919 & 98.0125 & 0.997749 & 0.993129 \tabularnewline
98 & 96.91 & 97.7183 & 98.0817 & 0.996296 & 0.991728 \tabularnewline
99 & 96.09 & 97.3935 & 98.2287 & 0.991497 & 0.986617 \tabularnewline
100 & 97.17 & 97.6174 & 98.3171 & 0.992884 & 0.995417 \tabularnewline
101 & 96.8 & 98.1556 & 98.3842 & 0.997677 & 0.986189 \tabularnewline
102 & 97.13 & 98.4716 & 98.5033 & 0.999678 & 0.986376 \tabularnewline
103 & 99.9 & NA & NA & 1.00744 & NA \tabularnewline
104 & 100.56 & NA & NA & 1.0074 & NA \tabularnewline
105 & 100.84 & NA & NA & 1.0053 & NA \tabularnewline
106 & 99.81 & NA & NA & 1.00468 & NA \tabularnewline
107 & 100.44 & NA & NA & 1.00167 & NA \tabularnewline
108 & 100.07 & NA & NA & 0.997729 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284514&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]73.97[/C][C]NA[/C][C]NA[/C][C]0.997749[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]75.01[/C][C]NA[/C][C]NA[/C][C]0.996296[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]75.98[/C][C]NA[/C][C]NA[/C][C]0.991497[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]78.85[/C][C]NA[/C][C]NA[/C][C]0.992884[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]79.34[/C][C]NA[/C][C]NA[/C][C]0.997677[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]79.62[/C][C]NA[/C][C]NA[/C][C]0.999678[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]79.76[/C][C]79.2988[/C][C]78.7129[/C][C]1.00744[/C][C]1.00582[/C][/ROW]
[ROW][C]8[/C][C]79.62[/C][C]79.769[/C][C]79.1833[/C][C]1.0074[/C][C]0.998132[/C][/ROW]
[ROW][C]9[/C][C]79.89[/C][C]80.0084[/C][C]79.5867[/C][C]1.0053[/C][C]0.998521[/C][/ROW]
[ROW][C]10[/C][C]79.88[/C][C]80.2686[/C][C]79.8946[/C][C]1.00468[/C][C]0.995159[/C][/ROW]
[ROW][C]11[/C][C]79.97[/C][C]80.2827[/C][C]80.1488[/C][C]1.00167[/C][C]0.996105[/C][/ROW]
[ROW][C]12[/C][C]79.63[/C][C]80.2153[/C][C]80.3979[/C][C]0.997729[/C][C]0.992703[/C][/ROW]
[ROW][C]13[/C][C]80.04[/C][C]80.4414[/C][C]80.6229[/C][C]0.997749[/C][C]0.99501[/C][/ROW]
[ROW][C]14[/C][C]80.23[/C][C]80.5526[/C][C]80.8521[/C][C]0.996296[/C][C]0.995995[/C][/ROW]
[ROW][C]15[/C][C]80.44[/C][C]80.3753[/C][C]81.0646[/C][C]0.991497[/C][C]1.00081[/C][/ROW]
[ROW][C]16[/C][C]81.78[/C][C]80.6962[/C][C]81.2746[/C][C]0.992884[/C][C]1.01343[/C][/ROW]
[ROW][C]17[/C][C]82.51[/C][C]81.3078[/C][C]81.4971[/C][C]0.997677[/C][C]1.01479[/C][/ROW]
[ROW][C]18[/C][C]82.43[/C][C]81.6724[/C][C]81.6987[/C][C]0.999678[/C][C]1.00928[/C][/ROW]
[ROW][C]19[/C][C]82.35[/C][C]82.4924[/C][C]81.8829[/C][C]1.00744[/C][C]0.998274[/C][/ROW]
[ROW][C]20[/C][C]82.53[/C][C]82.6607[/C][C]82.0537[/C][C]1.0074[/C][C]0.998419[/C][/ROW]
[ROW][C]21[/C][C]82.08[/C][C]82.6603[/C][C]82.2246[/C][C]1.0053[/C][C]0.99298[/C][/ROW]
[ROW][C]22[/C][C]82.73[/C][C]82.7426[/C][C]82.3571[/C][C]1.00468[/C][C]0.999847[/C][/ROW]
[ROW][C]23[/C][C]82.46[/C][C]82.5961[/C][C]82.4583[/C][C]1.00167[/C][C]0.998352[/C][/ROW]
[ROW][C]24[/C][C]81.98[/C][C]82.4216[/C][C]82.6092[/C][C]0.997729[/C][C]0.994642[/C][/ROW]
[ROW][C]25[/C][C]82.11[/C][C]82.6074[/C][C]82.7938[/C][C]0.997749[/C][C]0.993979[/C][/ROW]
[ROW][C]26[/C][C]82.26[/C][C]82.6714[/C][C]82.9787[/C][C]0.996296[/C][C]0.995024[/C][/ROW]
[ROW][C]27[/C][C]82.51[/C][C]82.4888[/C][C]83.1962[/C][C]0.991497[/C][C]1.00026[/C][/ROW]
[ROW][C]28[/C][C]82.89[/C][C]82.8061[/C][C]83.3996[/C][C]0.992884[/C][C]1.00101[/C][/ROW]
[ROW][C]29[/C][C]83.83[/C][C]83.3742[/C][C]83.5683[/C][C]0.997677[/C][C]1.00547[/C][/ROW]
[ROW][C]30[/C][C]84.73[/C][C]83.7426[/C][C]83.7696[/C][C]0.999678[/C][C]1.01179[/C][/ROW]
[ROW][C]31[/C][C]84.48[/C][C]84.6093[/C][C]83.9842[/C][C]1.00744[/C][C]0.998472[/C][/ROW]
[ROW][C]32[/C][C]84.84[/C][C]84.8018[/C][C]84.1792[/C][C]1.0074[/C][C]1.00045[/C][/ROW]
[ROW][C]33[/C][C]84.99[/C][C]84.7944[/C][C]84.3475[/C][C]1.0053[/C][C]1.00231[/C][/ROW]
[ROW][C]34[/C][C]84.7[/C][C]84.8822[/C][C]84.4867[/C][C]1.00468[/C][C]0.997854[/C][/ROW]
[ROW][C]35[/C][C]84.54[/C][C]84.7113[/C][C]84.57[/C][C]1.00167[/C][C]0.997977[/C][/ROW]
[ROW][C]36[/C][C]84.73[/C][C]84.3788[/C][C]84.5708[/C][C]0.997729[/C][C]1.00416[/C][/ROW]
[ROW][C]37[/C][C]84.51[/C][C]84.3559[/C][C]84.5462[/C][C]0.997749[/C][C]1.00183[/C][/ROW]
[ROW][C]38[/C][C]84.54[/C][C]84.2123[/C][C]84.5254[/C][C]0.996296[/C][C]1.00389[/C][/ROW]
[ROW][C]39[/C][C]84.27[/C][C]83.7534[/C][C]84.4717[/C][C]0.991497[/C][C]1.00617[/C][/ROW]
[ROW][C]40[/C][C]84.47[/C][C]83.8085[/C][C]84.4092[/C][C]0.992884[/C][C]1.00789[/C][/ROW]
[ROW][C]41[/C][C]84.25[/C][C]84.1723[/C][C]84.3683[/C][C]0.997677[/C][C]1.00092[/C][/ROW]
[ROW][C]42[/C][C]84.33[/C][C]84.2682[/C][C]84.2954[/C][C]0.999678[/C][C]1.00073[/C][/ROW]
[ROW][C]43[/C][C]84.29[/C][C]84.8309[/C][C]84.2042[/C][C]1.00744[/C][C]0.993623[/C][/ROW]
[ROW][C]44[/C][C]84.53[/C][C]84.7619[/C][C]84.1396[/C][C]1.0074[/C][C]0.997264[/C][/ROW]
[ROW][C]45[/C][C]84.01[/C][C]84.5217[/C][C]84.0762[/C][C]1.0053[/C][C]0.993945[/C][/ROW]
[ROW][C]46[/C][C]84.18[/C][C]84.3702[/C][C]83.9771[/C][C]1.00468[/C][C]0.997746[/C][/ROW]
[ROW][C]47[/C][C]84.08[/C][C]83.9922[/C][C]83.8521[/C][C]1.00167[/C][C]1.00105[/C][/ROW]
[ROW][C]48[/C][C]83.44[/C][C]83.559[/C][C]83.7492[/C][C]0.997729[/C][C]0.998576[/C][/ROW]
[ROW][C]49[/C][C]83.61[/C][C]83.665[/C][C]83.8538[/C][C]0.997749[/C][C]0.999343[/C][/ROW]
[ROW][C]50[/C][C]83.89[/C][C]83.8732[/C][C]84.185[/C][C]0.996296[/C][C]1.0002[/C][/ROW]
[ROW][C]51[/C][C]83.4[/C][C]83.8562[/C][C]84.5754[/C][C]0.991497[/C][C]0.994559[/C][/ROW]
[ROW][C]52[/C][C]82.96[/C][C]84.3724[/C][C]84.9771[/C][C]0.992884[/C][C]0.98326[/C][/ROW]
[ROW][C]53[/C][C]82.76[/C][C]85.2137[/C][C]85.4121[/C][C]0.997677[/C][C]0.971206[/C][/ROW]
[ROW][C]54[/C][C]83.35[/C][C]85.9181[/C][C]85.9458[/C][C]0.999678[/C][C]0.97011[/C][/ROW]
[ROW][C]55[/C][C]87.78[/C][C]87.2841[/C][C]86.6392[/C][C]1.00744[/C][C]1.00568[/C][/ROW]
[ROW][C]56[/C][C]88.99[/C][C]88.054[/C][C]87.4075[/C][C]1.0074[/C][C]1.01063[/C][/ROW]
[ROW][C]57[/C][C]88.92[/C][C]88.6544[/C][C]88.1871[/C][C]1.0053[/C][C]1.003[/C][/ROW]
[ROW][C]58[/C][C]88.91[/C][C]89.5292[/C][C]89.1121[/C][C]1.00468[/C][C]0.993083[/C][/ROW]
[ROW][C]59[/C][C]89.79[/C][C]90.5356[/C][C]90.3846[/C][C]1.00167[/C][C]0.991764[/C][/ROW]
[ROW][C]60[/C][C]90.54[/C][C]91.7794[/C][C]91.9883[/C][C]0.997729[/C][C]0.986495[/C][/ROW]
[ROW][C]61[/C][C]93.15[/C][C]93.3028[/C][C]93.5133[/C][C]0.997749[/C][C]0.998362[/C][/ROW]
[ROW][C]62[/C][C]92.79[/C][C]94.4717[/C][C]94.8229[/C][C]0.996296[/C][C]0.982199[/C][/ROW]
[ROW][C]63[/C][C]93.21[/C][C]95.2956[/C][C]96.1129[/C][C]0.991497[/C][C]0.978114[/C][/ROW]
[ROW][C]64[/C][C]95.35[/C][C]96.7553[/C][C]97.4488[/C][C]0.992884[/C][C]0.985476[/C][/ROW]
[ROW][C]65[/C][C]100.91[/C][C]98.5277[/C][C]98.7571[/C][C]0.997677[/C][C]1.02418[/C][/ROW]
[ROW][C]66[/C][C]103.69[/C][C]99.9507[/C][C]99.9829[/C][C]0.999678[/C][C]1.03741[/C][/ROW]
[ROW][C]67[/C][C]104.04[/C][C]101.82[/C][C]101.068[/C][C]1.00744[/C][C]1.0218[/C][/ROW]
[ROW][C]68[/C][C]104.16[/C][C]102.823[/C][C]102.068[/C][C]1.0074[/C][C]1.013[/C][/ROW]
[ROW][C]69[/C][C]104.71[/C][C]103.6[/C][C]103.054[/C][C]1.0053[/C][C]1.01072[/C][/ROW]
[ROW][C]70[/C][C]105.18[/C][C]104.342[/C][C]103.856[/C][C]1.00468[/C][C]1.00803[/C][/ROW]
[ROW][C]71[/C][C]104.92[/C][C]104.425[/C][C]104.25[/C][C]1.00167[/C][C]1.00474[/C][/ROW]
[ROW][C]72[/C][C]104.83[/C][C]103.973[/C][C]104.209[/C][C]0.997729[/C][C]1.00825[/C][/ROW]
[ROW][C]73[/C][C]104.9[/C][C]103.748[/C][C]103.982[/C][C]0.997749[/C][C]1.0111[/C][/ROW]
[ROW][C]74[/C][C]105.05[/C][C]103.403[/C][C]103.787[/C][C]0.996296[/C][C]1.01593[/C][/ROW]
[ROW][C]75[/C][C]104.6[/C][C]102.743[/C][C]103.625[/C][C]0.991497[/C][C]1.01807[/C][/ROW]
[ROW][C]76[/C][C]103.21[/C][C]102.689[/C][C]103.425[/C][C]0.992884[/C][C]1.00508[/C][/ROW]
[ROW][C]77[/C][C]102.52[/C][C]102.943[/C][C]103.182[/C][C]0.997677[/C][C]0.995893[/C][/ROW]
[ROW][C]78[/C][C]101.09[/C][C]102.896[/C][C]102.93[/C][C]0.999678[/C][C]0.982444[/C][/ROW]
[ROW][C]79[/C][C]101.19[/C][C]103.43[/C][C]102.666[/C][C]1.00744[/C][C]0.978343[/C][/ROW]
[ROW][C]80[/C][C]102.34[/C][C]103.155[/C][C]102.398[/C][C]1.0074[/C][C]0.992096[/C][/ROW]
[ROW][C]81[/C][C]102.62[/C][C]102.671[/C][C]102.13[/C][C]1.0053[/C][C]0.999506[/C][/ROW]
[ROW][C]82[/C][C]102.47[/C][C]102.349[/C][C]101.872[/C][C]1.00468[/C][C]1.00118[/C][/ROW]
[ROW][C]83[/C][C]101.82[/C][C]101.817[/C][C]101.648[/C][C]1.00167[/C][C]1.00003[/C][/ROW]
[ROW][C]84[/C][C]101.86[/C][C]101.262[/C][C]101.492[/C][C]0.997729[/C][C]1.00591[/C][/ROW]
[ROW][C]85[/C][C]101.54[/C][C]101.166[/C][C]101.395[/C][C]0.997749[/C][C]1.00369[/C][/ROW]
[ROW][C]86[/C][C]101.98[/C][C]100.823[/C][C]101.197[/C][C]0.996296[/C][C]1.01148[/C][/ROW]
[ROW][C]87[/C][C]101.23[/C][C]100.044[/C][C]100.902[/C][C]0.991497[/C][C]1.01185[/C][/ROW]
[ROW][C]88[/C][C]100.4[/C][C]99.9126[/C][C]100.629[/C][C]0.992884[/C][C]1.00488[/C][/ROW]
[ROW][C]89[/C][C]99.94[/C][C]100.16[/C][C]100.393[/C][C]0.997677[/C][C]0.997802[/C][/ROW]
[ROW][C]90[/C][C]99.94[/C][C]100.11[/C][C]100.142[/C][C]0.999678[/C][C]0.998304[/C][/ROW]
[ROW][C]91[/C][C]100[/C][C]100.56[/C][C]99.8167[/C][C]1.00744[/C][C]0.994435[/C][/ROW]
[ROW][C]92[/C][C]98.8[/C][C]100.157[/C][C]99.4212[/C][C]1.0074[/C][C]0.986455[/C][/ROW]
[ROW][C]93[/C][C]99.07[/C][C]99.5204[/C][C]98.9958[/C][C]1.0053[/C][C]0.995474[/C][/ROW]
[ROW][C]94[/C][C]99.46[/C][C]99.1089[/C][C]98.6471[/C][C]1.00468[/C][C]1.00354[/C][/ROW]
[ROW][C]95[/C][C]99.18[/C][C]98.5461[/C][C]98.3817[/C][C]1.00167[/C][C]1.00643[/C][/ROW]
[ROW][C]96[/C][C]98.47[/C][C]97.9109[/C][C]98.1337[/C][C]0.997729[/C][C]1.00571[/C][/ROW]
[ROW][C]97[/C][C]97.12[/C][C]97.7919[/C][C]98.0125[/C][C]0.997749[/C][C]0.993129[/C][/ROW]
[ROW][C]98[/C][C]96.91[/C][C]97.7183[/C][C]98.0817[/C][C]0.996296[/C][C]0.991728[/C][/ROW]
[ROW][C]99[/C][C]96.09[/C][C]97.3935[/C][C]98.2287[/C][C]0.991497[/C][C]0.986617[/C][/ROW]
[ROW][C]100[/C][C]97.17[/C][C]97.6174[/C][C]98.3171[/C][C]0.992884[/C][C]0.995417[/C][/ROW]
[ROW][C]101[/C][C]96.8[/C][C]98.1556[/C][C]98.3842[/C][C]0.997677[/C][C]0.986189[/C][/ROW]
[ROW][C]102[/C][C]97.13[/C][C]98.4716[/C][C]98.5033[/C][C]0.999678[/C][C]0.986376[/C][/ROW]
[ROW][C]103[/C][C]99.9[/C][C]NA[/C][C]NA[/C][C]1.00744[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]100.56[/C][C]NA[/C][C]NA[/C][C]1.0074[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]100.84[/C][C]NA[/C][C]NA[/C][C]1.0053[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]99.81[/C][C]NA[/C][C]NA[/C][C]1.00468[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]100.44[/C][C]NA[/C][C]NA[/C][C]1.00167[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]100.07[/C][C]NA[/C][C]NA[/C][C]0.997729[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284514&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284514&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	73.97	NA	NA	0.997749	NA
2	75.01	NA	NA	0.996296	NA
3	75.98	NA	NA	0.991497	NA
4	78.85	NA	NA	0.992884	NA
5	79.34	NA	NA	0.997677	NA
6	79.62	NA	NA	0.999678	NA
7	79.76	79.2988	78.7129	1.00744	1.00582
8	79.62	79.769	79.1833	1.0074	0.998132
9	79.89	80.0084	79.5867	1.0053	0.998521
10	79.88	80.2686	79.8946	1.00468	0.995159
11	79.97	80.2827	80.1488	1.00167	0.996105
12	79.63	80.2153	80.3979	0.997729	0.992703
13	80.04	80.4414	80.6229	0.997749	0.99501
14	80.23	80.5526	80.8521	0.996296	0.995995
15	80.44	80.3753	81.0646	0.991497	1.00081
16	81.78	80.6962	81.2746	0.992884	1.01343
17	82.51	81.3078	81.4971	0.997677	1.01479
18	82.43	81.6724	81.6987	0.999678	1.00928
19	82.35	82.4924	81.8829	1.00744	0.998274
20	82.53	82.6607	82.0537	1.0074	0.998419
21	82.08	82.6603	82.2246	1.0053	0.99298
22	82.73	82.7426	82.3571	1.00468	0.999847
23	82.46	82.5961	82.4583	1.00167	0.998352
24	81.98	82.4216	82.6092	0.997729	0.994642
25	82.11	82.6074	82.7938	0.997749	0.993979
26	82.26	82.6714	82.9787	0.996296	0.995024
27	82.51	82.4888	83.1962	0.991497	1.00026
28	82.89	82.8061	83.3996	0.992884	1.00101
29	83.83	83.3742	83.5683	0.997677	1.00547
30	84.73	83.7426	83.7696	0.999678	1.01179
31	84.48	84.6093	83.9842	1.00744	0.998472
32	84.84	84.8018	84.1792	1.0074	1.00045
33	84.99	84.7944	84.3475	1.0053	1.00231
34	84.7	84.8822	84.4867	1.00468	0.997854
35	84.54	84.7113	84.57	1.00167	0.997977
36	84.73	84.3788	84.5708	0.997729	1.00416
37	84.51	84.3559	84.5462	0.997749	1.00183
38	84.54	84.2123	84.5254	0.996296	1.00389
39	84.27	83.7534	84.4717	0.991497	1.00617
40	84.47	83.8085	84.4092	0.992884	1.00789
41	84.25	84.1723	84.3683	0.997677	1.00092
42	84.33	84.2682	84.2954	0.999678	1.00073
43	84.29	84.8309	84.2042	1.00744	0.993623
44	84.53	84.7619	84.1396	1.0074	0.997264
45	84.01	84.5217	84.0762	1.0053	0.993945
46	84.18	84.3702	83.9771	1.00468	0.997746
47	84.08	83.9922	83.8521	1.00167	1.00105
48	83.44	83.559	83.7492	0.997729	0.998576
49	83.61	83.665	83.8538	0.997749	0.999343
50	83.89	83.8732	84.185	0.996296	1.0002
51	83.4	83.8562	84.5754	0.991497	0.994559
52	82.96	84.3724	84.9771	0.992884	0.98326
53	82.76	85.2137	85.4121	0.997677	0.971206
54	83.35	85.9181	85.9458	0.999678	0.97011
55	87.78	87.2841	86.6392	1.00744	1.00568
56	88.99	88.054	87.4075	1.0074	1.01063
57	88.92	88.6544	88.1871	1.0053	1.003
58	88.91	89.5292	89.1121	1.00468	0.993083
59	89.79	90.5356	90.3846	1.00167	0.991764
60	90.54	91.7794	91.9883	0.997729	0.986495
61	93.15	93.3028	93.5133	0.997749	0.998362
62	92.79	94.4717	94.8229	0.996296	0.982199
63	93.21	95.2956	96.1129	0.991497	0.978114
64	95.35	96.7553	97.4488	0.992884	0.985476
65	100.91	98.5277	98.7571	0.997677	1.02418
66	103.69	99.9507	99.9829	0.999678	1.03741
67	104.04	101.82	101.068	1.00744	1.0218
68	104.16	102.823	102.068	1.0074	1.013
69	104.71	103.6	103.054	1.0053	1.01072
70	105.18	104.342	103.856	1.00468	1.00803
71	104.92	104.425	104.25	1.00167	1.00474
72	104.83	103.973	104.209	0.997729	1.00825
73	104.9	103.748	103.982	0.997749	1.0111
74	105.05	103.403	103.787	0.996296	1.01593
75	104.6	102.743	103.625	0.991497	1.01807
76	103.21	102.689	103.425	0.992884	1.00508
77	102.52	102.943	103.182	0.997677	0.995893
78	101.09	102.896	102.93	0.999678	0.982444
79	101.19	103.43	102.666	1.00744	0.978343
80	102.34	103.155	102.398	1.0074	0.992096
81	102.62	102.671	102.13	1.0053	0.999506
82	102.47	102.349	101.872	1.00468	1.00118
83	101.82	101.817	101.648	1.00167	1.00003
84	101.86	101.262	101.492	0.997729	1.00591
85	101.54	101.166	101.395	0.997749	1.00369
86	101.98	100.823	101.197	0.996296	1.01148
87	101.23	100.044	100.902	0.991497	1.01185
88	100.4	99.9126	100.629	0.992884	1.00488
89	99.94	100.16	100.393	0.997677	0.997802
90	99.94	100.11	100.142	0.999678	0.998304
91	100	100.56	99.8167	1.00744	0.994435
92	98.8	100.157	99.4212	1.0074	0.986455
93	99.07	99.5204	98.9958	1.0053	0.995474
94	99.46	99.1089	98.6471	1.00468	1.00354
95	99.18	98.5461	98.3817	1.00167	1.00643
96	98.47	97.9109	98.1337	0.997729	1.00571
97	97.12	97.7919	98.0125	0.997749	0.993129
98	96.91	97.7183	98.0817	0.996296	0.991728
99	96.09	97.3935	98.2287	0.991497	0.986617
100	97.17	97.6174	98.3171	0.992884	0.995417
101	96.8	98.1556	98.3842	0.997677	0.986189
102	97.13	98.4716	98.5033	0.999678	0.986376
103	99.9	NA	NA	1.00744	NA
104	100.56	NA	NA	1.0074	NA
105	100.84	NA	NA	1.0053	NA
106	99.81	NA	NA	1.00468	NA
107	100.44	NA	NA	1.00167	NA
108	100.07	NA	NA	0.997729	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