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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 06 Aug 2009 06:26:35 -0600

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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/Aug/06/t12495658675tvvaz5jt9vwq2f.htm/, Retrieved Fri, 03 May 2024 20:50:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42526, Retrieved Fri, 03 May 2024 20:50:57 +0000

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Estimated Impact

242

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

-     [Bootstrap Plot - Central Tendency] [Bootstrap plot ma...] [2009-08-05 15:54:55] [b61406873bd841e2047c054f7ebec102]
- RMPD  [Blocked Bootstrap Plot - Central Tendency] [Bootstrap plot ge...] [2009-08-05 18:54:30] [b61406873bd841e2047c054f7ebec102]
- RMP       [Classical Decomposition] [Classical decompo...] [2009-08-06 12:26:35] [f78fa5e3827314a0edd0041d1d9dae5e] [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	6 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 6 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42526&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42526&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42526&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	6 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	11.73	NA	NA	0.0494907407407408	NA
2	11.74	NA	NA	-0.0634259259259256	NA
3	11.65	NA	NA	-0.19162037037037	NA
4	11.38	NA	NA	-0.0114120370370364	NA
5	11.53	NA	NA	0.00483796296296278	NA
6	11.75	NA	NA	0.0702546296296298	NA
7	11.82	11.7218518518519	11.6133333333333	0.108518518518518	0.0981481481481463
8	11.83	11.6633796296296	11.5975	0.0658796296296293	0.166620370370369
9	11.63	11.6660185185185	11.5733333333333	0.092685185185185	-0.0360185185185209
10	11.55	11.5517824074074	11.5741666666667	-0.0223842592592598	-0.00178240740740598
11	11.4	11.6679629629630	11.5870833333333	0.0808796296296293	-0.267962962962962
12	11.4	11.3983796296296	11.5820833333333	-0.183703703703703	0.00162037037036988
13	11.63	11.6303240740741	11.5808333333333	0.0494907407407408	-0.000324074074072200
14	11.46	11.5165740740741	11.58	-0.0634259259259256	-0.0565740740740708
15	11.35	11.3871296296296	11.57875	-0.19162037037037	-0.0371296296296286
16	11.7	11.5698379629630	11.58125	-0.0114120370370364	0.130162037037039
17	11.52	11.6094212962963	11.6045833333333	0.00483796296296278	-0.089421296296294
18	11.64	11.7085879629630	11.6383333333333	0.0702546296296298	-0.0685879629629618
19	11.9	11.7714351851852	11.6629166666667	0.108518518518518	0.128564814814816
20	11.73	11.7571296296296	11.69125	0.0658796296296293	-0.0271296296296288
21	11.7	11.8106018518519	11.7179166666667	0.092685185185185	-0.110601851851852
22	11.54	11.7192824074074	11.7416666666667	-0.0223842592592598	-0.179282407407408
23	11.97	11.8462962962963	11.7654166666667	0.0808796296296293	0.123703703703702
24	11.64	11.6246296296296	11.8083333333333	-0.183703703703703	0.0153703703703734
25	11.98	11.9140740740741	11.8645833333333	0.0494907407407408	0.0659259259259279
26	11.79	11.8615740740741	11.925	-0.0634259259259256	-0.0715740740740749
27	11.66	11.8021296296296	11.99375	-0.19162037037037	-0.142129629629631
28	11.96	12.0460879629630	12.0575	-0.0114120370370364	-0.0860879629629636
29	11.83	12.1069212962963	12.1020833333333	0.00483796296296278	-0.276921296296296
30	12.36	12.2048379629630	12.1345833333333	0.0702546296296298	0.155162037037037
31	12.53	12.2701851851852	12.1616666666667	0.108518518518518	0.259814814814813
32	12.55	12.2558796296296	12.19	0.0658796296296293	0.294120370370370
33	12.53	12.3118518518519	12.2191666666667	0.092685185185185	0.218148148148149
34	12.24	12.2146990740741	12.2370833333333	-0.0223842592592598	0.0253009259259276
35	12.34	12.3362962962963	12.2554166666667	0.0808796296296293	0.00370370370370665
36	12.05	12.0742129629630	12.2579166666667	-0.183703703703703	-0.0242129629629630
37	12.22	12.2861574074074	12.2366666666667	0.0494907407407408	-0.066157407407406
38	12.23	12.1411574074074	12.2045833333333	-0.0634259259259256	0.0888425925925933
39	11.92	11.9721296296296	12.16375	-0.19162037037037	-0.0521296296296292
40	12.13	12.1181712962963	12.1295833333333	-0.0114120370370364	0.0118287037037064
41	12.1	12.1140046296296	12.1091666666667	0.00483796296296278	-0.0140046296296283
42	12.15	12.1644212962963	12.0941666666667	0.0702546296296298	-0.0144212962962982
43	12.23	12.1831018518519	12.0745833333333	0.108518518518518	0.0468981481481485
44	12.08	12.1100462962963	12.0441666666667	0.0658796296296293	-0.0300462962962946
45	12.02	12.0981018518519	12.0054166666667	0.092685185185185	-0.0781018518518515
46	11.93	11.9417824074074	11.9641666666667	-0.0223842592592598	-0.0117824074074058
47	12.16	12.0171296296296	11.93625	0.0808796296296293	0.142870370370371
48	11.87	11.7346296296296	11.9183333333333	-0.183703703703703	0.135370370370369
49	11.93	11.9403240740741	11.8908333333333	0.0494907407407408	-0.0103240740740738
50	11.79	11.7903240740741	11.85375	-0.0634259259259256	-0.000324074074075753
51	11.43	11.6425462962963	11.8341666666667	-0.19162037037037	-0.212546296296296
52	11.63	11.8185879629630	11.83	-0.0114120370370364	-0.188587962962961
53	11.93	11.8190046296296	11.8141666666667	0.00483796296296278	0.11099537037037
54	11.89	11.8673379629630	11.7970833333333	0.0702546296296298	0.0226620370370370
55	11.83	11.8985185185185	11.79	0.108518518518518	-0.0685185185185215
56	11.59	11.8612962962963	11.7954166666667	0.0658796296296293	-0.271296296296294
57	12.04	11.9143518518519	11.8216666666667	0.092685185185185	0.125648148148148
58	11.81	11.8280324074074	11.8504166666667	-0.0223842592592598	-0.0180324074074054
59	11.9	11.9433796296296	11.8625	0.0808796296296293	-0.04337962962963
60	11.72	11.6821296296296	11.8658333333333	-0.183703703703703	0.0378703703703707
61	11.91	11.9140740740741	11.8645833333333	0.0494907407407408	-0.00407407407407234
62	11.94	11.8044907407407	11.8679166666667	-0.0634259259259256	0.135509259259258
63	11.91	11.6583796296296	11.85	-0.19162037037037	0.25162037037037
64	11.84	11.8140046296296	11.8254166666667	-0.0114120370370364	0.0259953703703708
65	12.01	11.8160879629630	11.81125	0.00483796296296278	0.193912037037038
66	11.89	11.8506712962963	11.7804166666667	0.0702546296296298	0.0393287037037044
67	11.8	11.8589351851852	11.7504166666667	0.108518518518518	-0.0589351851851827
68	11.7	11.7821296296296	11.71625	0.0658796296296293	-0.0821296296296286
69	11.5	11.7706018518519	11.6779166666667	0.092685185185185	-0.270601851851850
70	11.76	11.6309490740741	11.6533333333333	-0.0223842592592598	0.129050925925927
71	11.61	11.7075462962963	11.6266666666667	0.0808796296296293	-0.0975462962962972
72	11.27	11.4067129629630	11.5904166666667	-0.183703703703703	-0.136712962962964
73	11.64	11.6007407407407	11.55125	0.0494907407407408	0.0392592592592589
74	11.39	11.4615740740741	11.525	-0.0634259259259256	-0.0715740740740749
75	11.54	11.3233796296296	11.515	-0.19162037037037	0.21662037037037
76	11.62	11.4890046296296	11.5004166666667	-0.0114120370370364	0.130995370370369
77	11.59	11.4902546296296	11.4854166666667	0.00483796296296278	0.0997453703703695
78	11.44	11.5498379629630	11.4795833333333	0.0702546296296298	-0.109837962962963
79	11.31	11.5935185185185	11.485	0.108518518518518	-0.283518518518518
80	11.56	NA	NA	0.0658796296296293	NA
81	11.4	NA	NA	0.092685185185185	NA
82	11.51	NA	NA	-0.0223842592592598	NA
83	11.5	NA	NA	0.0808796296296293	NA
84	11.24	NA	NA	-0.183703703703703	NA
85	11.8	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 11.73 & NA & NA & 0.0494907407407408 & NA \tabularnewline
2 & 11.74 & NA & NA & -0.0634259259259256 & NA \tabularnewline
3 & 11.65 & NA & NA & -0.19162037037037 & NA \tabularnewline
4 & 11.38 & NA & NA & -0.0114120370370364 & NA \tabularnewline
5 & 11.53 & NA & NA & 0.00483796296296278 & NA \tabularnewline
6 & 11.75 & NA & NA & 0.0702546296296298 & NA \tabularnewline
7 & 11.82 & 11.7218518518519 & 11.6133333333333 & 0.108518518518518 & 0.0981481481481463 \tabularnewline
8 & 11.83 & 11.6633796296296 & 11.5975 & 0.0658796296296293 & 0.166620370370369 \tabularnewline
9 & 11.63 & 11.6660185185185 & 11.5733333333333 & 0.092685185185185 & -0.0360185185185209 \tabularnewline
10 & 11.55 & 11.5517824074074 & 11.5741666666667 & -0.0223842592592598 & -0.00178240740740598 \tabularnewline
11 & 11.4 & 11.6679629629630 & 11.5870833333333 & 0.0808796296296293 & -0.267962962962962 \tabularnewline
12 & 11.4 & 11.3983796296296 & 11.5820833333333 & -0.183703703703703 & 0.00162037037036988 \tabularnewline
13 & 11.63 & 11.6303240740741 & 11.5808333333333 & 0.0494907407407408 & -0.000324074074072200 \tabularnewline
14 & 11.46 & 11.5165740740741 & 11.58 & -0.0634259259259256 & -0.0565740740740708 \tabularnewline
15 & 11.35 & 11.3871296296296 & 11.57875 & -0.19162037037037 & -0.0371296296296286 \tabularnewline
16 & 11.7 & 11.5698379629630 & 11.58125 & -0.0114120370370364 & 0.130162037037039 \tabularnewline
17 & 11.52 & 11.6094212962963 & 11.6045833333333 & 0.00483796296296278 & -0.089421296296294 \tabularnewline
18 & 11.64 & 11.7085879629630 & 11.6383333333333 & 0.0702546296296298 & -0.0685879629629618 \tabularnewline
19 & 11.9 & 11.7714351851852 & 11.6629166666667 & 0.108518518518518 & 0.128564814814816 \tabularnewline
20 & 11.73 & 11.7571296296296 & 11.69125 & 0.0658796296296293 & -0.0271296296296288 \tabularnewline
21 & 11.7 & 11.8106018518519 & 11.7179166666667 & 0.092685185185185 & -0.110601851851852 \tabularnewline
22 & 11.54 & 11.7192824074074 & 11.7416666666667 & -0.0223842592592598 & -0.179282407407408 \tabularnewline
23 & 11.97 & 11.8462962962963 & 11.7654166666667 & 0.0808796296296293 & 0.123703703703702 \tabularnewline
24 & 11.64 & 11.6246296296296 & 11.8083333333333 & -0.183703703703703 & 0.0153703703703734 \tabularnewline
25 & 11.98 & 11.9140740740741 & 11.8645833333333 & 0.0494907407407408 & 0.0659259259259279 \tabularnewline
26 & 11.79 & 11.8615740740741 & 11.925 & -0.0634259259259256 & -0.0715740740740749 \tabularnewline
27 & 11.66 & 11.8021296296296 & 11.99375 & -0.19162037037037 & -0.142129629629631 \tabularnewline
28 & 11.96 & 12.0460879629630 & 12.0575 & -0.0114120370370364 & -0.0860879629629636 \tabularnewline
29 & 11.83 & 12.1069212962963 & 12.1020833333333 & 0.00483796296296278 & -0.276921296296296 \tabularnewline
30 & 12.36 & 12.2048379629630 & 12.1345833333333 & 0.0702546296296298 & 0.155162037037037 \tabularnewline
31 & 12.53 & 12.2701851851852 & 12.1616666666667 & 0.108518518518518 & 0.259814814814813 \tabularnewline
32 & 12.55 & 12.2558796296296 & 12.19 & 0.0658796296296293 & 0.294120370370370 \tabularnewline
33 & 12.53 & 12.3118518518519 & 12.2191666666667 & 0.092685185185185 & 0.218148148148149 \tabularnewline
34 & 12.24 & 12.2146990740741 & 12.2370833333333 & -0.0223842592592598 & 0.0253009259259276 \tabularnewline
35 & 12.34 & 12.3362962962963 & 12.2554166666667 & 0.0808796296296293 & 0.00370370370370665 \tabularnewline
36 & 12.05 & 12.0742129629630 & 12.2579166666667 & -0.183703703703703 & -0.0242129629629630 \tabularnewline
37 & 12.22 & 12.2861574074074 & 12.2366666666667 & 0.0494907407407408 & -0.066157407407406 \tabularnewline
38 & 12.23 & 12.1411574074074 & 12.2045833333333 & -0.0634259259259256 & 0.0888425925925933 \tabularnewline
39 & 11.92 & 11.9721296296296 & 12.16375 & -0.19162037037037 & -0.0521296296296292 \tabularnewline
40 & 12.13 & 12.1181712962963 & 12.1295833333333 & -0.0114120370370364 & 0.0118287037037064 \tabularnewline
41 & 12.1 & 12.1140046296296 & 12.1091666666667 & 0.00483796296296278 & -0.0140046296296283 \tabularnewline
42 & 12.15 & 12.1644212962963 & 12.0941666666667 & 0.0702546296296298 & -0.0144212962962982 \tabularnewline
43 & 12.23 & 12.1831018518519 & 12.0745833333333 & 0.108518518518518 & 0.0468981481481485 \tabularnewline
44 & 12.08 & 12.1100462962963 & 12.0441666666667 & 0.0658796296296293 & -0.0300462962962946 \tabularnewline
45 & 12.02 & 12.0981018518519 & 12.0054166666667 & 0.092685185185185 & -0.0781018518518515 \tabularnewline
46 & 11.93 & 11.9417824074074 & 11.9641666666667 & -0.0223842592592598 & -0.0117824074074058 \tabularnewline
47 & 12.16 & 12.0171296296296 & 11.93625 & 0.0808796296296293 & 0.142870370370371 \tabularnewline
48 & 11.87 & 11.7346296296296 & 11.9183333333333 & -0.183703703703703 & 0.135370370370369 \tabularnewline
49 & 11.93 & 11.9403240740741 & 11.8908333333333 & 0.0494907407407408 & -0.0103240740740738 \tabularnewline
50 & 11.79 & 11.7903240740741 & 11.85375 & -0.0634259259259256 & -0.000324074074075753 \tabularnewline
51 & 11.43 & 11.6425462962963 & 11.8341666666667 & -0.19162037037037 & -0.212546296296296 \tabularnewline
52 & 11.63 & 11.8185879629630 & 11.83 & -0.0114120370370364 & -0.188587962962961 \tabularnewline
53 & 11.93 & 11.8190046296296 & 11.8141666666667 & 0.00483796296296278 & 0.11099537037037 \tabularnewline
54 & 11.89 & 11.8673379629630 & 11.7970833333333 & 0.0702546296296298 & 0.0226620370370370 \tabularnewline
55 & 11.83 & 11.8985185185185 & 11.79 & 0.108518518518518 & -0.0685185185185215 \tabularnewline
56 & 11.59 & 11.8612962962963 & 11.7954166666667 & 0.0658796296296293 & -0.271296296296294 \tabularnewline
57 & 12.04 & 11.9143518518519 & 11.8216666666667 & 0.092685185185185 & 0.125648148148148 \tabularnewline
58 & 11.81 & 11.8280324074074 & 11.8504166666667 & -0.0223842592592598 & -0.0180324074074054 \tabularnewline
59 & 11.9 & 11.9433796296296 & 11.8625 & 0.0808796296296293 & -0.04337962962963 \tabularnewline
60 & 11.72 & 11.6821296296296 & 11.8658333333333 & -0.183703703703703 & 0.0378703703703707 \tabularnewline
61 & 11.91 & 11.9140740740741 & 11.8645833333333 & 0.0494907407407408 & -0.00407407407407234 \tabularnewline
62 & 11.94 & 11.8044907407407 & 11.8679166666667 & -0.0634259259259256 & 0.135509259259258 \tabularnewline
63 & 11.91 & 11.6583796296296 & 11.85 & -0.19162037037037 & 0.25162037037037 \tabularnewline
64 & 11.84 & 11.8140046296296 & 11.8254166666667 & -0.0114120370370364 & 0.0259953703703708 \tabularnewline
65 & 12.01 & 11.8160879629630 & 11.81125 & 0.00483796296296278 & 0.193912037037038 \tabularnewline
66 & 11.89 & 11.8506712962963 & 11.7804166666667 & 0.0702546296296298 & 0.0393287037037044 \tabularnewline
67 & 11.8 & 11.8589351851852 & 11.7504166666667 & 0.108518518518518 & -0.0589351851851827 \tabularnewline
68 & 11.7 & 11.7821296296296 & 11.71625 & 0.0658796296296293 & -0.0821296296296286 \tabularnewline
69 & 11.5 & 11.7706018518519 & 11.6779166666667 & 0.092685185185185 & -0.270601851851850 \tabularnewline
70 & 11.76 & 11.6309490740741 & 11.6533333333333 & -0.0223842592592598 & 0.129050925925927 \tabularnewline
71 & 11.61 & 11.7075462962963 & 11.6266666666667 & 0.0808796296296293 & -0.0975462962962972 \tabularnewline
72 & 11.27 & 11.4067129629630 & 11.5904166666667 & -0.183703703703703 & -0.136712962962964 \tabularnewline
73 & 11.64 & 11.6007407407407 & 11.55125 & 0.0494907407407408 & 0.0392592592592589 \tabularnewline
74 & 11.39 & 11.4615740740741 & 11.525 & -0.0634259259259256 & -0.0715740740740749 \tabularnewline
75 & 11.54 & 11.3233796296296 & 11.515 & -0.19162037037037 & 0.21662037037037 \tabularnewline
76 & 11.62 & 11.4890046296296 & 11.5004166666667 & -0.0114120370370364 & 0.130995370370369 \tabularnewline
77 & 11.59 & 11.4902546296296 & 11.4854166666667 & 0.00483796296296278 & 0.0997453703703695 \tabularnewline
78 & 11.44 & 11.5498379629630 & 11.4795833333333 & 0.0702546296296298 & -0.109837962962963 \tabularnewline
79 & 11.31 & 11.5935185185185 & 11.485 & 0.108518518518518 & -0.283518518518518 \tabularnewline
80 & 11.56 & NA & NA & 0.0658796296296293 & NA \tabularnewline
81 & 11.4 & NA & NA & 0.092685185185185 & NA \tabularnewline
82 & 11.51 & NA & NA & -0.0223842592592598 & NA \tabularnewline
83 & 11.5 & NA & NA & 0.0808796296296293 & NA \tabularnewline
84 & 11.24 & NA & NA & -0.183703703703703 & NA \tabularnewline
85 & 11.8 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42526&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]11.73[/C][C]NA[/C][C]NA[/C][C]0.0494907407407408[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]11.74[/C][C]NA[/C][C]NA[/C][C]-0.0634259259259256[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]11.65[/C][C]NA[/C][C]NA[/C][C]-0.19162037037037[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]11.38[/C][C]NA[/C][C]NA[/C][C]-0.0114120370370364[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]11.53[/C][C]NA[/C][C]NA[/C][C]0.00483796296296278[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]11.75[/C][C]NA[/C][C]NA[/C][C]0.0702546296296298[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]11.82[/C][C]11.7218518518519[/C][C]11.6133333333333[/C][C]0.108518518518518[/C][C]0.0981481481481463[/C][/ROW]
[ROW][C]8[/C][C]11.83[/C][C]11.6633796296296[/C][C]11.5975[/C][C]0.0658796296296293[/C][C]0.166620370370369[/C][/ROW]
[ROW][C]9[/C][C]11.63[/C][C]11.6660185185185[/C][C]11.5733333333333[/C][C]0.092685185185185[/C][C]-0.0360185185185209[/C][/ROW]
[ROW][C]10[/C][C]11.55[/C][C]11.5517824074074[/C][C]11.5741666666667[/C][C]-0.0223842592592598[/C][C]-0.00178240740740598[/C][/ROW]
[ROW][C]11[/C][C]11.4[/C][C]11.6679629629630[/C][C]11.5870833333333[/C][C]0.0808796296296293[/C][C]-0.267962962962962[/C][/ROW]
[ROW][C]12[/C][C]11.4[/C][C]11.3983796296296[/C][C]11.5820833333333[/C][C]-0.183703703703703[/C][C]0.00162037037036988[/C][/ROW]
[ROW][C]13[/C][C]11.63[/C][C]11.6303240740741[/C][C]11.5808333333333[/C][C]0.0494907407407408[/C][C]-0.000324074074072200[/C][/ROW]
[ROW][C]14[/C][C]11.46[/C][C]11.5165740740741[/C][C]11.58[/C][C]-0.0634259259259256[/C][C]-0.0565740740740708[/C][/ROW]
[ROW][C]15[/C][C]11.35[/C][C]11.3871296296296[/C][C]11.57875[/C][C]-0.19162037037037[/C][C]-0.0371296296296286[/C][/ROW]
[ROW][C]16[/C][C]11.7[/C][C]11.5698379629630[/C][C]11.58125[/C][C]-0.0114120370370364[/C][C]0.130162037037039[/C][/ROW]
[ROW][C]17[/C][C]11.52[/C][C]11.6094212962963[/C][C]11.6045833333333[/C][C]0.00483796296296278[/C][C]-0.089421296296294[/C][/ROW]
[ROW][C]18[/C][C]11.64[/C][C]11.7085879629630[/C][C]11.6383333333333[/C][C]0.0702546296296298[/C][C]-0.0685879629629618[/C][/ROW]
[ROW][C]19[/C][C]11.9[/C][C]11.7714351851852[/C][C]11.6629166666667[/C][C]0.108518518518518[/C][C]0.128564814814816[/C][/ROW]
[ROW][C]20[/C][C]11.73[/C][C]11.7571296296296[/C][C]11.69125[/C][C]0.0658796296296293[/C][C]-0.0271296296296288[/C][/ROW]
[ROW][C]21[/C][C]11.7[/C][C]11.8106018518519[/C][C]11.7179166666667[/C][C]0.092685185185185[/C][C]-0.110601851851852[/C][/ROW]
[ROW][C]22[/C][C]11.54[/C][C]11.7192824074074[/C][C]11.7416666666667[/C][C]-0.0223842592592598[/C][C]-0.179282407407408[/C][/ROW]
[ROW][C]23[/C][C]11.97[/C][C]11.8462962962963[/C][C]11.7654166666667[/C][C]0.0808796296296293[/C][C]0.123703703703702[/C][/ROW]
[ROW][C]24[/C][C]11.64[/C][C]11.6246296296296[/C][C]11.8083333333333[/C][C]-0.183703703703703[/C][C]0.0153703703703734[/C][/ROW]
[ROW][C]25[/C][C]11.98[/C][C]11.9140740740741[/C][C]11.8645833333333[/C][C]0.0494907407407408[/C][C]0.0659259259259279[/C][/ROW]
[ROW][C]26[/C][C]11.79[/C][C]11.8615740740741[/C][C]11.925[/C][C]-0.0634259259259256[/C][C]-0.0715740740740749[/C][/ROW]
[ROW][C]27[/C][C]11.66[/C][C]11.8021296296296[/C][C]11.99375[/C][C]-0.19162037037037[/C][C]-0.142129629629631[/C][/ROW]
[ROW][C]28[/C][C]11.96[/C][C]12.0460879629630[/C][C]12.0575[/C][C]-0.0114120370370364[/C][C]-0.0860879629629636[/C][/ROW]
[ROW][C]29[/C][C]11.83[/C][C]12.1069212962963[/C][C]12.1020833333333[/C][C]0.00483796296296278[/C][C]-0.276921296296296[/C][/ROW]
[ROW][C]30[/C][C]12.36[/C][C]12.2048379629630[/C][C]12.1345833333333[/C][C]0.0702546296296298[/C][C]0.155162037037037[/C][/ROW]
[ROW][C]31[/C][C]12.53[/C][C]12.2701851851852[/C][C]12.1616666666667[/C][C]0.108518518518518[/C][C]0.259814814814813[/C][/ROW]
[ROW][C]32[/C][C]12.55[/C][C]12.2558796296296[/C][C]12.19[/C][C]0.0658796296296293[/C][C]0.294120370370370[/C][/ROW]
[ROW][C]33[/C][C]12.53[/C][C]12.3118518518519[/C][C]12.2191666666667[/C][C]0.092685185185185[/C][C]0.218148148148149[/C][/ROW]
[ROW][C]34[/C][C]12.24[/C][C]12.2146990740741[/C][C]12.2370833333333[/C][C]-0.0223842592592598[/C][C]0.0253009259259276[/C][/ROW]
[ROW][C]35[/C][C]12.34[/C][C]12.3362962962963[/C][C]12.2554166666667[/C][C]0.0808796296296293[/C][C]0.00370370370370665[/C][/ROW]
[ROW][C]36[/C][C]12.05[/C][C]12.0742129629630[/C][C]12.2579166666667[/C][C]-0.183703703703703[/C][C]-0.0242129629629630[/C][/ROW]
[ROW][C]37[/C][C]12.22[/C][C]12.2861574074074[/C][C]12.2366666666667[/C][C]0.0494907407407408[/C][C]-0.066157407407406[/C][/ROW]
[ROW][C]38[/C][C]12.23[/C][C]12.1411574074074[/C][C]12.2045833333333[/C][C]-0.0634259259259256[/C][C]0.0888425925925933[/C][/ROW]
[ROW][C]39[/C][C]11.92[/C][C]11.9721296296296[/C][C]12.16375[/C][C]-0.19162037037037[/C][C]-0.0521296296296292[/C][/ROW]
[ROW][C]40[/C][C]12.13[/C][C]12.1181712962963[/C][C]12.1295833333333[/C][C]-0.0114120370370364[/C][C]0.0118287037037064[/C][/ROW]
[ROW][C]41[/C][C]12.1[/C][C]12.1140046296296[/C][C]12.1091666666667[/C][C]0.00483796296296278[/C][C]-0.0140046296296283[/C][/ROW]
[ROW][C]42[/C][C]12.15[/C][C]12.1644212962963[/C][C]12.0941666666667[/C][C]0.0702546296296298[/C][C]-0.0144212962962982[/C][/ROW]
[ROW][C]43[/C][C]12.23[/C][C]12.1831018518519[/C][C]12.0745833333333[/C][C]0.108518518518518[/C][C]0.0468981481481485[/C][/ROW]
[ROW][C]44[/C][C]12.08[/C][C]12.1100462962963[/C][C]12.0441666666667[/C][C]0.0658796296296293[/C][C]-0.0300462962962946[/C][/ROW]
[ROW][C]45[/C][C]12.02[/C][C]12.0981018518519[/C][C]12.0054166666667[/C][C]0.092685185185185[/C][C]-0.0781018518518515[/C][/ROW]
[ROW][C]46[/C][C]11.93[/C][C]11.9417824074074[/C][C]11.9641666666667[/C][C]-0.0223842592592598[/C][C]-0.0117824074074058[/C][/ROW]
[ROW][C]47[/C][C]12.16[/C][C]12.0171296296296[/C][C]11.93625[/C][C]0.0808796296296293[/C][C]0.142870370370371[/C][/ROW]
[ROW][C]48[/C][C]11.87[/C][C]11.7346296296296[/C][C]11.9183333333333[/C][C]-0.183703703703703[/C][C]0.135370370370369[/C][/ROW]
[ROW][C]49[/C][C]11.93[/C][C]11.9403240740741[/C][C]11.8908333333333[/C][C]0.0494907407407408[/C][C]-0.0103240740740738[/C][/ROW]
[ROW][C]50[/C][C]11.79[/C][C]11.7903240740741[/C][C]11.85375[/C][C]-0.0634259259259256[/C][C]-0.000324074074075753[/C][/ROW]
[ROW][C]51[/C][C]11.43[/C][C]11.6425462962963[/C][C]11.8341666666667[/C][C]-0.19162037037037[/C][C]-0.212546296296296[/C][/ROW]
[ROW][C]52[/C][C]11.63[/C][C]11.8185879629630[/C][C]11.83[/C][C]-0.0114120370370364[/C][C]-0.188587962962961[/C][/ROW]
[ROW][C]53[/C][C]11.93[/C][C]11.8190046296296[/C][C]11.8141666666667[/C][C]0.00483796296296278[/C][C]0.11099537037037[/C][/ROW]
[ROW][C]54[/C][C]11.89[/C][C]11.8673379629630[/C][C]11.7970833333333[/C][C]0.0702546296296298[/C][C]0.0226620370370370[/C][/ROW]
[ROW][C]55[/C][C]11.83[/C][C]11.8985185185185[/C][C]11.79[/C][C]0.108518518518518[/C][C]-0.0685185185185215[/C][/ROW]
[ROW][C]56[/C][C]11.59[/C][C]11.8612962962963[/C][C]11.7954166666667[/C][C]0.0658796296296293[/C][C]-0.271296296296294[/C][/ROW]
[ROW][C]57[/C][C]12.04[/C][C]11.9143518518519[/C][C]11.8216666666667[/C][C]0.092685185185185[/C][C]0.125648148148148[/C][/ROW]
[ROW][C]58[/C][C]11.81[/C][C]11.8280324074074[/C][C]11.8504166666667[/C][C]-0.0223842592592598[/C][C]-0.0180324074074054[/C][/ROW]
[ROW][C]59[/C][C]11.9[/C][C]11.9433796296296[/C][C]11.8625[/C][C]0.0808796296296293[/C][C]-0.04337962962963[/C][/ROW]
[ROW][C]60[/C][C]11.72[/C][C]11.6821296296296[/C][C]11.8658333333333[/C][C]-0.183703703703703[/C][C]0.0378703703703707[/C][/ROW]
[ROW][C]61[/C][C]11.91[/C][C]11.9140740740741[/C][C]11.8645833333333[/C][C]0.0494907407407408[/C][C]-0.00407407407407234[/C][/ROW]
[ROW][C]62[/C][C]11.94[/C][C]11.8044907407407[/C][C]11.8679166666667[/C][C]-0.0634259259259256[/C][C]0.135509259259258[/C][/ROW]
[ROW][C]63[/C][C]11.91[/C][C]11.6583796296296[/C][C]11.85[/C][C]-0.19162037037037[/C][C]0.25162037037037[/C][/ROW]
[ROW][C]64[/C][C]11.84[/C][C]11.8140046296296[/C][C]11.8254166666667[/C][C]-0.0114120370370364[/C][C]0.0259953703703708[/C][/ROW]
[ROW][C]65[/C][C]12.01[/C][C]11.8160879629630[/C][C]11.81125[/C][C]0.00483796296296278[/C][C]0.193912037037038[/C][/ROW]
[ROW][C]66[/C][C]11.89[/C][C]11.8506712962963[/C][C]11.7804166666667[/C][C]0.0702546296296298[/C][C]0.0393287037037044[/C][/ROW]
[ROW][C]67[/C][C]11.8[/C][C]11.8589351851852[/C][C]11.7504166666667[/C][C]0.108518518518518[/C][C]-0.0589351851851827[/C][/ROW]
[ROW][C]68[/C][C]11.7[/C][C]11.7821296296296[/C][C]11.71625[/C][C]0.0658796296296293[/C][C]-0.0821296296296286[/C][/ROW]
[ROW][C]69[/C][C]11.5[/C][C]11.7706018518519[/C][C]11.6779166666667[/C][C]0.092685185185185[/C][C]-0.270601851851850[/C][/ROW]
[ROW][C]70[/C][C]11.76[/C][C]11.6309490740741[/C][C]11.6533333333333[/C][C]-0.0223842592592598[/C][C]0.129050925925927[/C][/ROW]
[ROW][C]71[/C][C]11.61[/C][C]11.7075462962963[/C][C]11.6266666666667[/C][C]0.0808796296296293[/C][C]-0.0975462962962972[/C][/ROW]
[ROW][C]72[/C][C]11.27[/C][C]11.4067129629630[/C][C]11.5904166666667[/C][C]-0.183703703703703[/C][C]-0.136712962962964[/C][/ROW]
[ROW][C]73[/C][C]11.64[/C][C]11.6007407407407[/C][C]11.55125[/C][C]0.0494907407407408[/C][C]0.0392592592592589[/C][/ROW]
[ROW][C]74[/C][C]11.39[/C][C]11.4615740740741[/C][C]11.525[/C][C]-0.0634259259259256[/C][C]-0.0715740740740749[/C][/ROW]
[ROW][C]75[/C][C]11.54[/C][C]11.3233796296296[/C][C]11.515[/C][C]-0.19162037037037[/C][C]0.21662037037037[/C][/ROW]
[ROW][C]76[/C][C]11.62[/C][C]11.4890046296296[/C][C]11.5004166666667[/C][C]-0.0114120370370364[/C][C]0.130995370370369[/C][/ROW]
[ROW][C]77[/C][C]11.59[/C][C]11.4902546296296[/C][C]11.4854166666667[/C][C]0.00483796296296278[/C][C]0.0997453703703695[/C][/ROW]
[ROW][C]78[/C][C]11.44[/C][C]11.5498379629630[/C][C]11.4795833333333[/C][C]0.0702546296296298[/C][C]-0.109837962962963[/C][/ROW]
[ROW][C]79[/C][C]11.31[/C][C]11.5935185185185[/C][C]11.485[/C][C]0.108518518518518[/C][C]-0.283518518518518[/C][/ROW]
[ROW][C]80[/C][C]11.56[/C][C]NA[/C][C]NA[/C][C]0.0658796296296293[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]11.4[/C][C]NA[/C][C]NA[/C][C]0.092685185185185[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]11.51[/C][C]NA[/C][C]NA[/C][C]-0.0223842592592598[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]11.5[/C][C]NA[/C][C]NA[/C][C]0.0808796296296293[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]11.24[/C][C]NA[/C][C]NA[/C][C]-0.183703703703703[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]11.8[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42526&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42526&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	11.73	NA	NA	0.0494907407407408	NA
2	11.74	NA	NA	-0.0634259259259256	NA
3	11.65	NA	NA	-0.19162037037037	NA
4	11.38	NA	NA	-0.0114120370370364	NA
5	11.53	NA	NA	0.00483796296296278	NA
6	11.75	NA	NA	0.0702546296296298	NA
7	11.82	11.7218518518519	11.6133333333333	0.108518518518518	0.0981481481481463
8	11.83	11.6633796296296	11.5975	0.0658796296296293	0.166620370370369
9	11.63	11.6660185185185	11.5733333333333	0.092685185185185	-0.0360185185185209
10	11.55	11.5517824074074	11.5741666666667	-0.0223842592592598	-0.00178240740740598
11	11.4	11.6679629629630	11.5870833333333	0.0808796296296293	-0.267962962962962
12	11.4	11.3983796296296	11.5820833333333	-0.183703703703703	0.00162037037036988
13	11.63	11.6303240740741	11.5808333333333	0.0494907407407408	-0.000324074074072200
14	11.46	11.5165740740741	11.58	-0.0634259259259256	-0.0565740740740708
15	11.35	11.3871296296296	11.57875	-0.19162037037037	-0.0371296296296286
16	11.7	11.5698379629630	11.58125	-0.0114120370370364	0.130162037037039
17	11.52	11.6094212962963	11.6045833333333	0.00483796296296278	-0.089421296296294
18	11.64	11.7085879629630	11.6383333333333	0.0702546296296298	-0.0685879629629618
19	11.9	11.7714351851852	11.6629166666667	0.108518518518518	0.128564814814816
20	11.73	11.7571296296296	11.69125	0.0658796296296293	-0.0271296296296288
21	11.7	11.8106018518519	11.7179166666667	0.092685185185185	-0.110601851851852
22	11.54	11.7192824074074	11.7416666666667	-0.0223842592592598	-0.179282407407408
23	11.97	11.8462962962963	11.7654166666667	0.0808796296296293	0.123703703703702
24	11.64	11.6246296296296	11.8083333333333	-0.183703703703703	0.0153703703703734
25	11.98	11.9140740740741	11.8645833333333	0.0494907407407408	0.0659259259259279
26	11.79	11.8615740740741	11.925	-0.0634259259259256	-0.0715740740740749
27	11.66	11.8021296296296	11.99375	-0.19162037037037	-0.142129629629631
28	11.96	12.0460879629630	12.0575	-0.0114120370370364	-0.0860879629629636
29	11.83	12.1069212962963	12.1020833333333	0.00483796296296278	-0.276921296296296
30	12.36	12.2048379629630	12.1345833333333	0.0702546296296298	0.155162037037037
31	12.53	12.2701851851852	12.1616666666667	0.108518518518518	0.259814814814813
32	12.55	12.2558796296296	12.19	0.0658796296296293	0.294120370370370
33	12.53	12.3118518518519	12.2191666666667	0.092685185185185	0.218148148148149
34	12.24	12.2146990740741	12.2370833333333	-0.0223842592592598	0.0253009259259276
35	12.34	12.3362962962963	12.2554166666667	0.0808796296296293	0.00370370370370665
36	12.05	12.0742129629630	12.2579166666667	-0.183703703703703	-0.0242129629629630
37	12.22	12.2861574074074	12.2366666666667	0.0494907407407408	-0.066157407407406
38	12.23	12.1411574074074	12.2045833333333	-0.0634259259259256	0.0888425925925933
39	11.92	11.9721296296296	12.16375	-0.19162037037037	-0.0521296296296292
40	12.13	12.1181712962963	12.1295833333333	-0.0114120370370364	0.0118287037037064
41	12.1	12.1140046296296	12.1091666666667	0.00483796296296278	-0.0140046296296283
42	12.15	12.1644212962963	12.0941666666667	0.0702546296296298	-0.0144212962962982
43	12.23	12.1831018518519	12.0745833333333	0.108518518518518	0.0468981481481485
44	12.08	12.1100462962963	12.0441666666667	0.0658796296296293	-0.0300462962962946
45	12.02	12.0981018518519	12.0054166666667	0.092685185185185	-0.0781018518518515
46	11.93	11.9417824074074	11.9641666666667	-0.0223842592592598	-0.0117824074074058
47	12.16	12.0171296296296	11.93625	0.0808796296296293	0.142870370370371
48	11.87	11.7346296296296	11.9183333333333	-0.183703703703703	0.135370370370369
49	11.93	11.9403240740741	11.8908333333333	0.0494907407407408	-0.0103240740740738
50	11.79	11.7903240740741	11.85375	-0.0634259259259256	-0.000324074074075753
51	11.43	11.6425462962963	11.8341666666667	-0.19162037037037	-0.212546296296296
52	11.63	11.8185879629630	11.83	-0.0114120370370364	-0.188587962962961
53	11.93	11.8190046296296	11.8141666666667	0.00483796296296278	0.11099537037037
54	11.89	11.8673379629630	11.7970833333333	0.0702546296296298	0.0226620370370370
55	11.83	11.8985185185185	11.79	0.108518518518518	-0.0685185185185215
56	11.59	11.8612962962963	11.7954166666667	0.0658796296296293	-0.271296296296294
57	12.04	11.9143518518519	11.8216666666667	0.092685185185185	0.125648148148148
58	11.81	11.8280324074074	11.8504166666667	-0.0223842592592598	-0.0180324074074054
59	11.9	11.9433796296296	11.8625	0.0808796296296293	-0.04337962962963
60	11.72	11.6821296296296	11.8658333333333	-0.183703703703703	0.0378703703703707
61	11.91	11.9140740740741	11.8645833333333	0.0494907407407408	-0.00407407407407234
62	11.94	11.8044907407407	11.8679166666667	-0.0634259259259256	0.135509259259258
63	11.91	11.6583796296296	11.85	-0.19162037037037	0.25162037037037
64	11.84	11.8140046296296	11.8254166666667	-0.0114120370370364	0.0259953703703708
65	12.01	11.8160879629630	11.81125	0.00483796296296278	0.193912037037038
66	11.89	11.8506712962963	11.7804166666667	0.0702546296296298	0.0393287037037044
67	11.8	11.8589351851852	11.7504166666667	0.108518518518518	-0.0589351851851827
68	11.7	11.7821296296296	11.71625	0.0658796296296293	-0.0821296296296286
69	11.5	11.7706018518519	11.6779166666667	0.092685185185185	-0.270601851851850
70	11.76	11.6309490740741	11.6533333333333	-0.0223842592592598	0.129050925925927
71	11.61	11.7075462962963	11.6266666666667	0.0808796296296293	-0.0975462962962972
72	11.27	11.4067129629630	11.5904166666667	-0.183703703703703	-0.136712962962964
73	11.64	11.6007407407407	11.55125	0.0494907407407408	0.0392592592592589
74	11.39	11.4615740740741	11.525	-0.0634259259259256	-0.0715740740740749
75	11.54	11.3233796296296	11.515	-0.19162037037037	0.21662037037037
76	11.62	11.4890046296296	11.5004166666667	-0.0114120370370364	0.130995370370369
77	11.59	11.4902546296296	11.4854166666667	0.00483796296296278	0.0997453703703695
78	11.44	11.5498379629630	11.4795833333333	0.0702546296296298	-0.109837962962963
79	11.31	11.5935185185185	11.485	0.108518518518518	-0.283518518518518
80	11.56	NA	NA	0.0658796296296293	NA
81	11.4	NA	NA	0.092685185185185	NA
82	11.51	NA	NA	-0.0223842592592598	NA
83	11.5	NA	NA	0.0808796296296293	NA
84	11.24	NA	NA	-0.183703703703703	NA
85	11.8	NA	NA	NA	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