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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Thu, 15 Jan 2009 12:15:06 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/15/t12320472194ym9tl5iwr2hyjg.htm/, Retrieved Tue, 07 May 2024 12:59:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36899, Retrieved Tue, 07 May 2024 12:59:31 +0000

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Estimated Impact

226

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

-     [Standard Deviation Plot] [standard deviatio...] [2009-01-08 21:49:18] [65364f12da24daf6c8f7985fc762862c]
- RMPD  [Classical Decomposition] [decompositie - te...] [2009-01-15 16:48:00] [74be16979710d4c4e7c6647856088456]
-    D      [Classical Decomposition] [Opgave 9- oefenin...] [2009-01-15 19:15:06] [59eb7d50a05a673a4523845c066501a9] [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	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36899&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36899&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36899&T=0

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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	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	101.6	NA	NA	-0.0263252314814755	NA
2	101.8	NA	NA	0.139924768518520	NA
3	102.1	NA	NA	0.289924768518521	NA
4	102.1	NA	NA	0.209646990740736	NA
5	101.9	NA	NA	-0.088061342592592	NA
6	102.1	NA	NA	-0.104172453703705	NA
7	102	102.065966435185	102.204166666667	-0.138200231481480	-0.0659664351851745
8	102.1	102.254646990741	102.320833333333	-0.066186342592593	-0.15464699074073
9	102.2	102.365549768519	102.425	-0.0594502314814809	-0.165549768518503
10	102.3	102.449369212963	102.533333333333	-0.0839641203703736	-0.149369212962938
11	102.7	102.614924768519	102.65	-0.0350752314814841	0.0850752314814827
12	102.8	102.728605324074	102.766666666667	-0.0380613425925925	0.0713946759259159
13	103.1	102.873674768519	102.9	-0.0263252314814755	0.226325231481468
14	103.1	103.189924768519	103.05	0.139924768518520	-0.0899247685185287
15	103.3	103.485758101852	103.195833333333	0.289924768518521	-0.185758101851846
16	103.5	103.555480324074	103.345833333333	0.209646990740736	-0.0554803240740682
17	103.3	103.416105324074	103.504166666667	-0.088061342592592	-0.116105324074084
18	103.5	103.566660879630	103.670833333333	-0.104172453703705	-0.066660879629623
19	103.8	103.707633101852	103.845833333333	-0.138200231481480	0.0923668981481427
20	103.9	103.954646990741	104.020833333333	-0.066186342592593	-0.0546469907407356
21	103.9	104.144716435185	104.204166666667	-0.0594502314814809	-0.244716435185168
22	104.2	104.303535879630	104.3875	-0.0839641203703736	-0.103535879629632
23	104.6	104.560758101852	104.595833333333	-0.0350752314814841	0.0392418981481626
24	104.9	104.795271990741	104.833333333333	-0.0380613425925925	0.10472800925929
25	105.2	105.032008101852	105.058333333333	-0.0263252314814755	0.167991898148159
26	105.2	105.431591435185	105.291666666667	0.139924768518520	-0.231591435185194
27	105.6	105.844091435185	105.554166666667	0.289924768518521	-0.244091435185183
28	105.6	106.030480324074	105.820833333333	0.209646990740736	-0.430480324074068
29	106.2	105.974438657407	106.0625	-0.088061342592592	0.225561342592613
30	106.3	106.174994212963	106.279166666667	-0.104172453703705	0.125005787037040
31	106.4	106.343049768519	106.48125	-0.138200231481480	0.056950231481494
32	106.9	106.624230324074	106.690416666667	-0.066186342592593	0.275769675925929
33	107.2	106.857633101852	106.917083333333	-0.0594502314814809	0.342366898148157
34	107.3	107.064369212963	107.148333333333	-0.0839641203703736	0.235630787037039
35	107.3	107.300758101852	107.335833333333	-0.0350752314814841	-0.000758101851829451
36	107.4	107.441521990741	107.479583333333	-0.0380613425925925	-0.0415219907407050
37	107.55	107.597841435185	107.624166666667	-0.0263252314814755	-0.0478414351851768
38	107.87	107.894924768519	107.755	0.139924768518520	-0.0249247685185168
39	108.37	108.163258101852	107.873333333333	0.289924768518521	0.206741898148167
40	108.38	108.199646990741	107.99	0.209646990740736	0.180353009259264
41	107.92	108.031105324074	108.119166666667	-0.088061342592592	-0.111105324074060
42	108.03	108.155410879630	108.259583333333	-0.104172453703705	-0.125410879629584
43	108.14	108.250966435185	108.389166666667	-0.138200231481480	-0.110966435185176
44	108.3	108.454230324074	108.520416666667	-0.066186342592593	-0.154230324074092
45	108.64	108.588049768519	108.6475	-0.0594502314814809	0.0519502314814844
46	108.66	108.681452546296	108.765416666667	-0.0839641203703736	-0.0214525462963024
47	109.04	108.862841435185	108.897916666667	-0.0350752314814841	0.177158564814832
48	109.03	109.006521990741	109.044583333333	-0.0380613425925925	0.0234780092592644
49	109.03	109.168258101852	109.194583333333	-0.0263252314814755	-0.138258101851818
50	109.54	109.485758101852	109.345833333333	0.139924768518520	0.054241898148149
51	109.75	109.774508101852	109.484583333333	0.289924768518521	-0.0245081018518647
52	109.83	109.821313657407	109.611666666667	0.209646990740736	0.00868634259258272
53	109.65	109.627355324074	109.715416666667	-0.088061342592592	0.0226446759259176
54	109.82	109.697077546296	109.80125	-0.104172453703705	0.122922453703708
55	109.95	109.755549768519	109.89375	-0.138200231481480	0.194450231481483
56	110.12	109.926730324074	109.992916666667	-0.066186342592593	0.193269675925919
57	110.15	110.037216435185	110.096666666667	-0.0594502314814809	0.112783564814805
58	110.2	110.111869212963	110.195833333333	-0.0839641203703736	0.0881307870370307
59	109.99	110.212424768519	110.2475	-0.0350752314814841	-0.222424768518508
60	110.14	110.212355324074	110.250416666667	-0.0380613425925925	-0.0723553240740671
61	110.14	110.226591435185	110.252916666667	-0.0263252314814755	-0.0865914351851842
62	110.81	110.398258101852	110.258333333333	0.139924768518520	0.411741898148151
63	110.97	110.553258101852	110.263333333333	0.289924768518521	0.416741898148160
64	110.99	110.477563657407	110.267916666667	0.209646990740736	0.512436342592608
65	109.73	110.197355324074	110.285416666667	-0.088061342592592	-0.467355324074049
66	109.81	110.212077546296	110.31625	-0.104172453703705	-0.402077546296283
67	110.02	110.214299768519	110.3525	-0.138200231481480	-0.194299768518533
68	110.18	110.312980324074	110.379166666667	-0.066186342592593	-0.132980324074069
69	110.21	110.334299768519	110.39375	-0.0594502314814809	-0.12429976851854
70	110.25	110.326869212963	110.410833333333	-0.0839641203703736	-0.0768692129629756
71	110.36	110.465758101852	110.500833333333	-0.0350752314814841	-0.105758101851876
72	110.51	110.623188657407	110.66125	-0.0380613425925925	-0.113188657407406
73	110.64	110.789091435185	110.815416666667	-0.0263252314814755	-0.14909143518517
74	110.95	111.097008101852	110.957083333333	0.139924768518520	-0.147008101851839
75	111.18	111.376591435185	111.086666666667	0.289924768518521	-0.196591435185155
76	111.19	111.432980324074	111.223333333333	0.209646990740736	-0.242980324074068
77	111.69	111.271105324074	111.359166666667	-0.088061342592592	0.418894675925941
78	111.7	111.381244212963	111.485416666667	-0.104172453703705	0.318755787037034
79	111.83	NA	NA	-0.138200231481480	NA
80	111.77	NA	NA	-0.066186342592593	NA
81	111.73	NA	NA	-0.0594502314814809	NA
82	112.01	NA	NA	-0.0839641203703736	NA
83	111.86	NA	NA	-0.0350752314814841	NA
84	112.04	NA	NA	-0.0380613425925925	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.6 & NA & NA & -0.0263252314814755 & NA \tabularnewline
2 & 101.8 & NA & NA & 0.139924768518520 & NA \tabularnewline
3 & 102.1 & NA & NA & 0.289924768518521 & NA \tabularnewline
4 & 102.1 & NA & NA & 0.209646990740736 & NA \tabularnewline
5 & 101.9 & NA & NA & -0.088061342592592 & NA \tabularnewline
6 & 102.1 & NA & NA & -0.104172453703705 & NA \tabularnewline
7 & 102 & 102.065966435185 & 102.204166666667 & -0.138200231481480 & -0.0659664351851745 \tabularnewline
8 & 102.1 & 102.254646990741 & 102.320833333333 & -0.066186342592593 & -0.15464699074073 \tabularnewline
9 & 102.2 & 102.365549768519 & 102.425 & -0.0594502314814809 & -0.165549768518503 \tabularnewline
10 & 102.3 & 102.449369212963 & 102.533333333333 & -0.0839641203703736 & -0.149369212962938 \tabularnewline
11 & 102.7 & 102.614924768519 & 102.65 & -0.0350752314814841 & 0.0850752314814827 \tabularnewline
12 & 102.8 & 102.728605324074 & 102.766666666667 & -0.0380613425925925 & 0.0713946759259159 \tabularnewline
13 & 103.1 & 102.873674768519 & 102.9 & -0.0263252314814755 & 0.226325231481468 \tabularnewline
14 & 103.1 & 103.189924768519 & 103.05 & 0.139924768518520 & -0.0899247685185287 \tabularnewline
15 & 103.3 & 103.485758101852 & 103.195833333333 & 0.289924768518521 & -0.185758101851846 \tabularnewline
16 & 103.5 & 103.555480324074 & 103.345833333333 & 0.209646990740736 & -0.0554803240740682 \tabularnewline
17 & 103.3 & 103.416105324074 & 103.504166666667 & -0.088061342592592 & -0.116105324074084 \tabularnewline
18 & 103.5 & 103.566660879630 & 103.670833333333 & -0.104172453703705 & -0.066660879629623 \tabularnewline
19 & 103.8 & 103.707633101852 & 103.845833333333 & -0.138200231481480 & 0.0923668981481427 \tabularnewline
20 & 103.9 & 103.954646990741 & 104.020833333333 & -0.066186342592593 & -0.0546469907407356 \tabularnewline
21 & 103.9 & 104.144716435185 & 104.204166666667 & -0.0594502314814809 & -0.244716435185168 \tabularnewline
22 & 104.2 & 104.303535879630 & 104.3875 & -0.0839641203703736 & -0.103535879629632 \tabularnewline
23 & 104.6 & 104.560758101852 & 104.595833333333 & -0.0350752314814841 & 0.0392418981481626 \tabularnewline
24 & 104.9 & 104.795271990741 & 104.833333333333 & -0.0380613425925925 & 0.10472800925929 \tabularnewline
25 & 105.2 & 105.032008101852 & 105.058333333333 & -0.0263252314814755 & 0.167991898148159 \tabularnewline
26 & 105.2 & 105.431591435185 & 105.291666666667 & 0.139924768518520 & -0.231591435185194 \tabularnewline
27 & 105.6 & 105.844091435185 & 105.554166666667 & 0.289924768518521 & -0.244091435185183 \tabularnewline
28 & 105.6 & 106.030480324074 & 105.820833333333 & 0.209646990740736 & -0.430480324074068 \tabularnewline
29 & 106.2 & 105.974438657407 & 106.0625 & -0.088061342592592 & 0.225561342592613 \tabularnewline
30 & 106.3 & 106.174994212963 & 106.279166666667 & -0.104172453703705 & 0.125005787037040 \tabularnewline
31 & 106.4 & 106.343049768519 & 106.48125 & -0.138200231481480 & 0.056950231481494 \tabularnewline
32 & 106.9 & 106.624230324074 & 106.690416666667 & -0.066186342592593 & 0.275769675925929 \tabularnewline
33 & 107.2 & 106.857633101852 & 106.917083333333 & -0.0594502314814809 & 0.342366898148157 \tabularnewline
34 & 107.3 & 107.064369212963 & 107.148333333333 & -0.0839641203703736 & 0.235630787037039 \tabularnewline
35 & 107.3 & 107.300758101852 & 107.335833333333 & -0.0350752314814841 & -0.000758101851829451 \tabularnewline
36 & 107.4 & 107.441521990741 & 107.479583333333 & -0.0380613425925925 & -0.0415219907407050 \tabularnewline
37 & 107.55 & 107.597841435185 & 107.624166666667 & -0.0263252314814755 & -0.0478414351851768 \tabularnewline
38 & 107.87 & 107.894924768519 & 107.755 & 0.139924768518520 & -0.0249247685185168 \tabularnewline
39 & 108.37 & 108.163258101852 & 107.873333333333 & 0.289924768518521 & 0.206741898148167 \tabularnewline
40 & 108.38 & 108.199646990741 & 107.99 & 0.209646990740736 & 0.180353009259264 \tabularnewline
41 & 107.92 & 108.031105324074 & 108.119166666667 & -0.088061342592592 & -0.111105324074060 \tabularnewline
42 & 108.03 & 108.155410879630 & 108.259583333333 & -0.104172453703705 & -0.125410879629584 \tabularnewline
43 & 108.14 & 108.250966435185 & 108.389166666667 & -0.138200231481480 & -0.110966435185176 \tabularnewline
44 & 108.3 & 108.454230324074 & 108.520416666667 & -0.066186342592593 & -0.154230324074092 \tabularnewline
45 & 108.64 & 108.588049768519 & 108.6475 & -0.0594502314814809 & 0.0519502314814844 \tabularnewline
46 & 108.66 & 108.681452546296 & 108.765416666667 & -0.0839641203703736 & -0.0214525462963024 \tabularnewline
47 & 109.04 & 108.862841435185 & 108.897916666667 & -0.0350752314814841 & 0.177158564814832 \tabularnewline
48 & 109.03 & 109.006521990741 & 109.044583333333 & -0.0380613425925925 & 0.0234780092592644 \tabularnewline
49 & 109.03 & 109.168258101852 & 109.194583333333 & -0.0263252314814755 & -0.138258101851818 \tabularnewline
50 & 109.54 & 109.485758101852 & 109.345833333333 & 0.139924768518520 & 0.054241898148149 \tabularnewline
51 & 109.75 & 109.774508101852 & 109.484583333333 & 0.289924768518521 & -0.0245081018518647 \tabularnewline
52 & 109.83 & 109.821313657407 & 109.611666666667 & 0.209646990740736 & 0.00868634259258272 \tabularnewline
53 & 109.65 & 109.627355324074 & 109.715416666667 & -0.088061342592592 & 0.0226446759259176 \tabularnewline
54 & 109.82 & 109.697077546296 & 109.80125 & -0.104172453703705 & 0.122922453703708 \tabularnewline
55 & 109.95 & 109.755549768519 & 109.89375 & -0.138200231481480 & 0.194450231481483 \tabularnewline
56 & 110.12 & 109.926730324074 & 109.992916666667 & -0.066186342592593 & 0.193269675925919 \tabularnewline
57 & 110.15 & 110.037216435185 & 110.096666666667 & -0.0594502314814809 & 0.112783564814805 \tabularnewline
58 & 110.2 & 110.111869212963 & 110.195833333333 & -0.0839641203703736 & 0.0881307870370307 \tabularnewline
59 & 109.99 & 110.212424768519 & 110.2475 & -0.0350752314814841 & -0.222424768518508 \tabularnewline
60 & 110.14 & 110.212355324074 & 110.250416666667 & -0.0380613425925925 & -0.0723553240740671 \tabularnewline
61 & 110.14 & 110.226591435185 & 110.252916666667 & -0.0263252314814755 & -0.0865914351851842 \tabularnewline
62 & 110.81 & 110.398258101852 & 110.258333333333 & 0.139924768518520 & 0.411741898148151 \tabularnewline
63 & 110.97 & 110.553258101852 & 110.263333333333 & 0.289924768518521 & 0.416741898148160 \tabularnewline
64 & 110.99 & 110.477563657407 & 110.267916666667 & 0.209646990740736 & 0.512436342592608 \tabularnewline
65 & 109.73 & 110.197355324074 & 110.285416666667 & -0.088061342592592 & -0.467355324074049 \tabularnewline
66 & 109.81 & 110.212077546296 & 110.31625 & -0.104172453703705 & -0.402077546296283 \tabularnewline
67 & 110.02 & 110.214299768519 & 110.3525 & -0.138200231481480 & -0.194299768518533 \tabularnewline
68 & 110.18 & 110.312980324074 & 110.379166666667 & -0.066186342592593 & -0.132980324074069 \tabularnewline
69 & 110.21 & 110.334299768519 & 110.39375 & -0.0594502314814809 & -0.12429976851854 \tabularnewline
70 & 110.25 & 110.326869212963 & 110.410833333333 & -0.0839641203703736 & -0.0768692129629756 \tabularnewline
71 & 110.36 & 110.465758101852 & 110.500833333333 & -0.0350752314814841 & -0.105758101851876 \tabularnewline
72 & 110.51 & 110.623188657407 & 110.66125 & -0.0380613425925925 & -0.113188657407406 \tabularnewline
73 & 110.64 & 110.789091435185 & 110.815416666667 & -0.0263252314814755 & -0.14909143518517 \tabularnewline
74 & 110.95 & 111.097008101852 & 110.957083333333 & 0.139924768518520 & -0.147008101851839 \tabularnewline
75 & 111.18 & 111.376591435185 & 111.086666666667 & 0.289924768518521 & -0.196591435185155 \tabularnewline
76 & 111.19 & 111.432980324074 & 111.223333333333 & 0.209646990740736 & -0.242980324074068 \tabularnewline
77 & 111.69 & 111.271105324074 & 111.359166666667 & -0.088061342592592 & 0.418894675925941 \tabularnewline
78 & 111.7 & 111.381244212963 & 111.485416666667 & -0.104172453703705 & 0.318755787037034 \tabularnewline
79 & 111.83 & NA & NA & -0.138200231481480 & NA \tabularnewline
80 & 111.77 & NA & NA & -0.066186342592593 & NA \tabularnewline
81 & 111.73 & NA & NA & -0.0594502314814809 & NA \tabularnewline
82 & 112.01 & NA & NA & -0.0839641203703736 & NA \tabularnewline
83 & 111.86 & NA & NA & -0.0350752314814841 & NA \tabularnewline
84 & 112.04 & NA & NA & -0.0380613425925925 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36899&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]101.6[/C][C]NA[/C][C]NA[/C][C]-0.0263252314814755[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.8[/C][C]NA[/C][C]NA[/C][C]0.139924768518520[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]102.1[/C][C]NA[/C][C]NA[/C][C]0.289924768518521[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102.1[/C][C]NA[/C][C]NA[/C][C]0.209646990740736[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.9[/C][C]NA[/C][C]NA[/C][C]-0.088061342592592[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]102.1[/C][C]NA[/C][C]NA[/C][C]-0.104172453703705[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]102[/C][C]102.065966435185[/C][C]102.204166666667[/C][C]-0.138200231481480[/C][C]-0.0659664351851745[/C][/ROW]
[ROW][C]8[/C][C]102.1[/C][C]102.254646990741[/C][C]102.320833333333[/C][C]-0.066186342592593[/C][C]-0.15464699074073[/C][/ROW]
[ROW][C]9[/C][C]102.2[/C][C]102.365549768519[/C][C]102.425[/C][C]-0.0594502314814809[/C][C]-0.165549768518503[/C][/ROW]
[ROW][C]10[/C][C]102.3[/C][C]102.449369212963[/C][C]102.533333333333[/C][C]-0.0839641203703736[/C][C]-0.149369212962938[/C][/ROW]
[ROW][C]11[/C][C]102.7[/C][C]102.614924768519[/C][C]102.65[/C][C]-0.0350752314814841[/C][C]0.0850752314814827[/C][/ROW]
[ROW][C]12[/C][C]102.8[/C][C]102.728605324074[/C][C]102.766666666667[/C][C]-0.0380613425925925[/C][C]0.0713946759259159[/C][/ROW]
[ROW][C]13[/C][C]103.1[/C][C]102.873674768519[/C][C]102.9[/C][C]-0.0263252314814755[/C][C]0.226325231481468[/C][/ROW]
[ROW][C]14[/C][C]103.1[/C][C]103.189924768519[/C][C]103.05[/C][C]0.139924768518520[/C][C]-0.0899247685185287[/C][/ROW]
[ROW][C]15[/C][C]103.3[/C][C]103.485758101852[/C][C]103.195833333333[/C][C]0.289924768518521[/C][C]-0.185758101851846[/C][/ROW]
[ROW][C]16[/C][C]103.5[/C][C]103.555480324074[/C][C]103.345833333333[/C][C]0.209646990740736[/C][C]-0.0554803240740682[/C][/ROW]
[ROW][C]17[/C][C]103.3[/C][C]103.416105324074[/C][C]103.504166666667[/C][C]-0.088061342592592[/C][C]-0.116105324074084[/C][/ROW]
[ROW][C]18[/C][C]103.5[/C][C]103.566660879630[/C][C]103.670833333333[/C][C]-0.104172453703705[/C][C]-0.066660879629623[/C][/ROW]
[ROW][C]19[/C][C]103.8[/C][C]103.707633101852[/C][C]103.845833333333[/C][C]-0.138200231481480[/C][C]0.0923668981481427[/C][/ROW]
[ROW][C]20[/C][C]103.9[/C][C]103.954646990741[/C][C]104.020833333333[/C][C]-0.066186342592593[/C][C]-0.0546469907407356[/C][/ROW]
[ROW][C]21[/C][C]103.9[/C][C]104.144716435185[/C][C]104.204166666667[/C][C]-0.0594502314814809[/C][C]-0.244716435185168[/C][/ROW]
[ROW][C]22[/C][C]104.2[/C][C]104.303535879630[/C][C]104.3875[/C][C]-0.0839641203703736[/C][C]-0.103535879629632[/C][/ROW]
[ROW][C]23[/C][C]104.6[/C][C]104.560758101852[/C][C]104.595833333333[/C][C]-0.0350752314814841[/C][C]0.0392418981481626[/C][/ROW]
[ROW][C]24[/C][C]104.9[/C][C]104.795271990741[/C][C]104.833333333333[/C][C]-0.0380613425925925[/C][C]0.10472800925929[/C][/ROW]
[ROW][C]25[/C][C]105.2[/C][C]105.032008101852[/C][C]105.058333333333[/C][C]-0.0263252314814755[/C][C]0.167991898148159[/C][/ROW]
[ROW][C]26[/C][C]105.2[/C][C]105.431591435185[/C][C]105.291666666667[/C][C]0.139924768518520[/C][C]-0.231591435185194[/C][/ROW]
[ROW][C]27[/C][C]105.6[/C][C]105.844091435185[/C][C]105.554166666667[/C][C]0.289924768518521[/C][C]-0.244091435185183[/C][/ROW]
[ROW][C]28[/C][C]105.6[/C][C]106.030480324074[/C][C]105.820833333333[/C][C]0.209646990740736[/C][C]-0.430480324074068[/C][/ROW]
[ROW][C]29[/C][C]106.2[/C][C]105.974438657407[/C][C]106.0625[/C][C]-0.088061342592592[/C][C]0.225561342592613[/C][/ROW]
[ROW][C]30[/C][C]106.3[/C][C]106.174994212963[/C][C]106.279166666667[/C][C]-0.104172453703705[/C][C]0.125005787037040[/C][/ROW]
[ROW][C]31[/C][C]106.4[/C][C]106.343049768519[/C][C]106.48125[/C][C]-0.138200231481480[/C][C]0.056950231481494[/C][/ROW]
[ROW][C]32[/C][C]106.9[/C][C]106.624230324074[/C][C]106.690416666667[/C][C]-0.066186342592593[/C][C]0.275769675925929[/C][/ROW]
[ROW][C]33[/C][C]107.2[/C][C]106.857633101852[/C][C]106.917083333333[/C][C]-0.0594502314814809[/C][C]0.342366898148157[/C][/ROW]
[ROW][C]34[/C][C]107.3[/C][C]107.064369212963[/C][C]107.148333333333[/C][C]-0.0839641203703736[/C][C]0.235630787037039[/C][/ROW]
[ROW][C]35[/C][C]107.3[/C][C]107.300758101852[/C][C]107.335833333333[/C][C]-0.0350752314814841[/C][C]-0.000758101851829451[/C][/ROW]
[ROW][C]36[/C][C]107.4[/C][C]107.441521990741[/C][C]107.479583333333[/C][C]-0.0380613425925925[/C][C]-0.0415219907407050[/C][/ROW]
[ROW][C]37[/C][C]107.55[/C][C]107.597841435185[/C][C]107.624166666667[/C][C]-0.0263252314814755[/C][C]-0.0478414351851768[/C][/ROW]
[ROW][C]38[/C][C]107.87[/C][C]107.894924768519[/C][C]107.755[/C][C]0.139924768518520[/C][C]-0.0249247685185168[/C][/ROW]
[ROW][C]39[/C][C]108.37[/C][C]108.163258101852[/C][C]107.873333333333[/C][C]0.289924768518521[/C][C]0.206741898148167[/C][/ROW]
[ROW][C]40[/C][C]108.38[/C][C]108.199646990741[/C][C]107.99[/C][C]0.209646990740736[/C][C]0.180353009259264[/C][/ROW]
[ROW][C]41[/C][C]107.92[/C][C]108.031105324074[/C][C]108.119166666667[/C][C]-0.088061342592592[/C][C]-0.111105324074060[/C][/ROW]
[ROW][C]42[/C][C]108.03[/C][C]108.155410879630[/C][C]108.259583333333[/C][C]-0.104172453703705[/C][C]-0.125410879629584[/C][/ROW]
[ROW][C]43[/C][C]108.14[/C][C]108.250966435185[/C][C]108.389166666667[/C][C]-0.138200231481480[/C][C]-0.110966435185176[/C][/ROW]
[ROW][C]44[/C][C]108.3[/C][C]108.454230324074[/C][C]108.520416666667[/C][C]-0.066186342592593[/C][C]-0.154230324074092[/C][/ROW]
[ROW][C]45[/C][C]108.64[/C][C]108.588049768519[/C][C]108.6475[/C][C]-0.0594502314814809[/C][C]0.0519502314814844[/C][/ROW]
[ROW][C]46[/C][C]108.66[/C][C]108.681452546296[/C][C]108.765416666667[/C][C]-0.0839641203703736[/C][C]-0.0214525462963024[/C][/ROW]
[ROW][C]47[/C][C]109.04[/C][C]108.862841435185[/C][C]108.897916666667[/C][C]-0.0350752314814841[/C][C]0.177158564814832[/C][/ROW]
[ROW][C]48[/C][C]109.03[/C][C]109.006521990741[/C][C]109.044583333333[/C][C]-0.0380613425925925[/C][C]0.0234780092592644[/C][/ROW]
[ROW][C]49[/C][C]109.03[/C][C]109.168258101852[/C][C]109.194583333333[/C][C]-0.0263252314814755[/C][C]-0.138258101851818[/C][/ROW]
[ROW][C]50[/C][C]109.54[/C][C]109.485758101852[/C][C]109.345833333333[/C][C]0.139924768518520[/C][C]0.054241898148149[/C][/ROW]
[ROW][C]51[/C][C]109.75[/C][C]109.774508101852[/C][C]109.484583333333[/C][C]0.289924768518521[/C][C]-0.0245081018518647[/C][/ROW]
[ROW][C]52[/C][C]109.83[/C][C]109.821313657407[/C][C]109.611666666667[/C][C]0.209646990740736[/C][C]0.00868634259258272[/C][/ROW]
[ROW][C]53[/C][C]109.65[/C][C]109.627355324074[/C][C]109.715416666667[/C][C]-0.088061342592592[/C][C]0.0226446759259176[/C][/ROW]
[ROW][C]54[/C][C]109.82[/C][C]109.697077546296[/C][C]109.80125[/C][C]-0.104172453703705[/C][C]0.122922453703708[/C][/ROW]
[ROW][C]55[/C][C]109.95[/C][C]109.755549768519[/C][C]109.89375[/C][C]-0.138200231481480[/C][C]0.194450231481483[/C][/ROW]
[ROW][C]56[/C][C]110.12[/C][C]109.926730324074[/C][C]109.992916666667[/C][C]-0.066186342592593[/C][C]0.193269675925919[/C][/ROW]
[ROW][C]57[/C][C]110.15[/C][C]110.037216435185[/C][C]110.096666666667[/C][C]-0.0594502314814809[/C][C]0.112783564814805[/C][/ROW]
[ROW][C]58[/C][C]110.2[/C][C]110.111869212963[/C][C]110.195833333333[/C][C]-0.0839641203703736[/C][C]0.0881307870370307[/C][/ROW]
[ROW][C]59[/C][C]109.99[/C][C]110.212424768519[/C][C]110.2475[/C][C]-0.0350752314814841[/C][C]-0.222424768518508[/C][/ROW]
[ROW][C]60[/C][C]110.14[/C][C]110.212355324074[/C][C]110.250416666667[/C][C]-0.0380613425925925[/C][C]-0.0723553240740671[/C][/ROW]
[ROW][C]61[/C][C]110.14[/C][C]110.226591435185[/C][C]110.252916666667[/C][C]-0.0263252314814755[/C][C]-0.0865914351851842[/C][/ROW]
[ROW][C]62[/C][C]110.81[/C][C]110.398258101852[/C][C]110.258333333333[/C][C]0.139924768518520[/C][C]0.411741898148151[/C][/ROW]
[ROW][C]63[/C][C]110.97[/C][C]110.553258101852[/C][C]110.263333333333[/C][C]0.289924768518521[/C][C]0.416741898148160[/C][/ROW]
[ROW][C]64[/C][C]110.99[/C][C]110.477563657407[/C][C]110.267916666667[/C][C]0.209646990740736[/C][C]0.512436342592608[/C][/ROW]
[ROW][C]65[/C][C]109.73[/C][C]110.197355324074[/C][C]110.285416666667[/C][C]-0.088061342592592[/C][C]-0.467355324074049[/C][/ROW]
[ROW][C]66[/C][C]109.81[/C][C]110.212077546296[/C][C]110.31625[/C][C]-0.104172453703705[/C][C]-0.402077546296283[/C][/ROW]
[ROW][C]67[/C][C]110.02[/C][C]110.214299768519[/C][C]110.3525[/C][C]-0.138200231481480[/C][C]-0.194299768518533[/C][/ROW]
[ROW][C]68[/C][C]110.18[/C][C]110.312980324074[/C][C]110.379166666667[/C][C]-0.066186342592593[/C][C]-0.132980324074069[/C][/ROW]
[ROW][C]69[/C][C]110.21[/C][C]110.334299768519[/C][C]110.39375[/C][C]-0.0594502314814809[/C][C]-0.12429976851854[/C][/ROW]
[ROW][C]70[/C][C]110.25[/C][C]110.326869212963[/C][C]110.410833333333[/C][C]-0.0839641203703736[/C][C]-0.0768692129629756[/C][/ROW]
[ROW][C]71[/C][C]110.36[/C][C]110.465758101852[/C][C]110.500833333333[/C][C]-0.0350752314814841[/C][C]-0.105758101851876[/C][/ROW]
[ROW][C]72[/C][C]110.51[/C][C]110.623188657407[/C][C]110.66125[/C][C]-0.0380613425925925[/C][C]-0.113188657407406[/C][/ROW]
[ROW][C]73[/C][C]110.64[/C][C]110.789091435185[/C][C]110.815416666667[/C][C]-0.0263252314814755[/C][C]-0.14909143518517[/C][/ROW]
[ROW][C]74[/C][C]110.95[/C][C]111.097008101852[/C][C]110.957083333333[/C][C]0.139924768518520[/C][C]-0.147008101851839[/C][/ROW]
[ROW][C]75[/C][C]111.18[/C][C]111.376591435185[/C][C]111.086666666667[/C][C]0.289924768518521[/C][C]-0.196591435185155[/C][/ROW]
[ROW][C]76[/C][C]111.19[/C][C]111.432980324074[/C][C]111.223333333333[/C][C]0.209646990740736[/C][C]-0.242980324074068[/C][/ROW]
[ROW][C]77[/C][C]111.69[/C][C]111.271105324074[/C][C]111.359166666667[/C][C]-0.088061342592592[/C][C]0.418894675925941[/C][/ROW]
[ROW][C]78[/C][C]111.7[/C][C]111.381244212963[/C][C]111.485416666667[/C][C]-0.104172453703705[/C][C]0.318755787037034[/C][/ROW]
[ROW][C]79[/C][C]111.83[/C][C]NA[/C][C]NA[/C][C]-0.138200231481480[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]111.77[/C][C]NA[/C][C]NA[/C][C]-0.066186342592593[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]111.73[/C][C]NA[/C][C]NA[/C][C]-0.0594502314814809[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]112.01[/C][C]NA[/C][C]NA[/C][C]-0.0839641203703736[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]111.86[/C][C]NA[/C][C]NA[/C][C]-0.0350752314814841[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]112.04[/C][C]NA[/C][C]NA[/C][C]-0.0380613425925925[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36899&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36899&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	101.6	NA	NA	-0.0263252314814755	NA
2	101.8	NA	NA	0.139924768518520	NA
3	102.1	NA	NA	0.289924768518521	NA
4	102.1	NA	NA	0.209646990740736	NA
5	101.9	NA	NA	-0.088061342592592	NA
6	102.1	NA	NA	-0.104172453703705	NA
7	102	102.065966435185	102.204166666667	-0.138200231481480	-0.0659664351851745
8	102.1	102.254646990741	102.320833333333	-0.066186342592593	-0.15464699074073
9	102.2	102.365549768519	102.425	-0.0594502314814809	-0.165549768518503
10	102.3	102.449369212963	102.533333333333	-0.0839641203703736	-0.149369212962938
11	102.7	102.614924768519	102.65	-0.0350752314814841	0.0850752314814827
12	102.8	102.728605324074	102.766666666667	-0.0380613425925925	0.0713946759259159
13	103.1	102.873674768519	102.9	-0.0263252314814755	0.226325231481468
14	103.1	103.189924768519	103.05	0.139924768518520	-0.0899247685185287
15	103.3	103.485758101852	103.195833333333	0.289924768518521	-0.185758101851846
16	103.5	103.555480324074	103.345833333333	0.209646990740736	-0.0554803240740682
17	103.3	103.416105324074	103.504166666667	-0.088061342592592	-0.116105324074084
18	103.5	103.566660879630	103.670833333333	-0.104172453703705	-0.066660879629623
19	103.8	103.707633101852	103.845833333333	-0.138200231481480	0.0923668981481427
20	103.9	103.954646990741	104.020833333333	-0.066186342592593	-0.0546469907407356
21	103.9	104.144716435185	104.204166666667	-0.0594502314814809	-0.244716435185168
22	104.2	104.303535879630	104.3875	-0.0839641203703736	-0.103535879629632
23	104.6	104.560758101852	104.595833333333	-0.0350752314814841	0.0392418981481626
24	104.9	104.795271990741	104.833333333333	-0.0380613425925925	0.10472800925929
25	105.2	105.032008101852	105.058333333333	-0.0263252314814755	0.167991898148159
26	105.2	105.431591435185	105.291666666667	0.139924768518520	-0.231591435185194
27	105.6	105.844091435185	105.554166666667	0.289924768518521	-0.244091435185183
28	105.6	106.030480324074	105.820833333333	0.209646990740736	-0.430480324074068
29	106.2	105.974438657407	106.0625	-0.088061342592592	0.225561342592613
30	106.3	106.174994212963	106.279166666667	-0.104172453703705	0.125005787037040
31	106.4	106.343049768519	106.48125	-0.138200231481480	0.056950231481494
32	106.9	106.624230324074	106.690416666667	-0.066186342592593	0.275769675925929
33	107.2	106.857633101852	106.917083333333	-0.0594502314814809	0.342366898148157
34	107.3	107.064369212963	107.148333333333	-0.0839641203703736	0.235630787037039
35	107.3	107.300758101852	107.335833333333	-0.0350752314814841	-0.000758101851829451
36	107.4	107.441521990741	107.479583333333	-0.0380613425925925	-0.0415219907407050
37	107.55	107.597841435185	107.624166666667	-0.0263252314814755	-0.0478414351851768
38	107.87	107.894924768519	107.755	0.139924768518520	-0.0249247685185168
39	108.37	108.163258101852	107.873333333333	0.289924768518521	0.206741898148167
40	108.38	108.199646990741	107.99	0.209646990740736	0.180353009259264
41	107.92	108.031105324074	108.119166666667	-0.088061342592592	-0.111105324074060
42	108.03	108.155410879630	108.259583333333	-0.104172453703705	-0.125410879629584
43	108.14	108.250966435185	108.389166666667	-0.138200231481480	-0.110966435185176
44	108.3	108.454230324074	108.520416666667	-0.066186342592593	-0.154230324074092
45	108.64	108.588049768519	108.6475	-0.0594502314814809	0.0519502314814844
46	108.66	108.681452546296	108.765416666667	-0.0839641203703736	-0.0214525462963024
47	109.04	108.862841435185	108.897916666667	-0.0350752314814841	0.177158564814832
48	109.03	109.006521990741	109.044583333333	-0.0380613425925925	0.0234780092592644
49	109.03	109.168258101852	109.194583333333	-0.0263252314814755	-0.138258101851818
50	109.54	109.485758101852	109.345833333333	0.139924768518520	0.054241898148149
51	109.75	109.774508101852	109.484583333333	0.289924768518521	-0.0245081018518647
52	109.83	109.821313657407	109.611666666667	0.209646990740736	0.00868634259258272
53	109.65	109.627355324074	109.715416666667	-0.088061342592592	0.0226446759259176
54	109.82	109.697077546296	109.80125	-0.104172453703705	0.122922453703708
55	109.95	109.755549768519	109.89375	-0.138200231481480	0.194450231481483
56	110.12	109.926730324074	109.992916666667	-0.066186342592593	0.193269675925919
57	110.15	110.037216435185	110.096666666667	-0.0594502314814809	0.112783564814805
58	110.2	110.111869212963	110.195833333333	-0.0839641203703736	0.0881307870370307
59	109.99	110.212424768519	110.2475	-0.0350752314814841	-0.222424768518508
60	110.14	110.212355324074	110.250416666667	-0.0380613425925925	-0.0723553240740671
61	110.14	110.226591435185	110.252916666667	-0.0263252314814755	-0.0865914351851842
62	110.81	110.398258101852	110.258333333333	0.139924768518520	0.411741898148151
63	110.97	110.553258101852	110.263333333333	0.289924768518521	0.416741898148160
64	110.99	110.477563657407	110.267916666667	0.209646990740736	0.512436342592608
65	109.73	110.197355324074	110.285416666667	-0.088061342592592	-0.467355324074049
66	109.81	110.212077546296	110.31625	-0.104172453703705	-0.402077546296283
67	110.02	110.214299768519	110.3525	-0.138200231481480	-0.194299768518533
68	110.18	110.312980324074	110.379166666667	-0.066186342592593	-0.132980324074069
69	110.21	110.334299768519	110.39375	-0.0594502314814809	-0.12429976851854
70	110.25	110.326869212963	110.410833333333	-0.0839641203703736	-0.0768692129629756
71	110.36	110.465758101852	110.500833333333	-0.0350752314814841	-0.105758101851876
72	110.51	110.623188657407	110.66125	-0.0380613425925925	-0.113188657407406
73	110.64	110.789091435185	110.815416666667	-0.0263252314814755	-0.14909143518517
74	110.95	111.097008101852	110.957083333333	0.139924768518520	-0.147008101851839
75	111.18	111.376591435185	111.086666666667	0.289924768518521	-0.196591435185155
76	111.19	111.432980324074	111.223333333333	0.209646990740736	-0.242980324074068
77	111.69	111.271105324074	111.359166666667	-0.088061342592592	0.418894675925941
78	111.7	111.381244212963	111.485416666667	-0.104172453703705	0.318755787037034
79	111.83	NA	NA	-0.138200231481480	NA
80	111.77	NA	NA	-0.066186342592593	NA
81	111.73	NA	NA	-0.0594502314814809	NA
82	112.01	NA	NA	-0.0839641203703736	NA
83	111.86	NA	NA	-0.0350752314814841	NA
84	112.04	NA	NA	-0.0380613425925925	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 = 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code