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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 05 Dec 2012 04:31:20 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/05/t1354699909llr7r4jog8fl0r2.htm/, Retrieved Thu, 25 Apr 2024 22:35:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196737, Retrieved Thu, 25 Apr 2024 22:35:09 +0000

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Estimated Impact

118

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

-       [Classical Decomposition] [] [2012-12-05 09:31:20] [6e9dcd0648fbf01fc48a73ddbea19f30] [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	3 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196737&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196737&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196737&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	98.01	NA	NA	0.993345612711611	NA
2	99.2	NA	NA	0.988868364468653	NA
3	100.7	NA	NA	1.01475726593845	NA
4	106.41	NA	NA	1.02459153416048	NA
5	107.51	NA	NA	1.02496816888972	NA
6	107.1	NA	NA	1.01466835807449	NA
7	99.75	99.0197936697668	104.187083333333	0.950403740096702	1.00737434711961
8	98.96	98.4461101380778	104.734166666667	0.939961745734784	1.00522001185422
9	107.26	107.134047780567	105.30125	1.01740528037955	1.00117565071088
10	107.11	107.359111212963	105.6325	1.01634545440998	0.997679645349629
11	107.2	106.80867598347	105.66	1.01087143652726	1.00366378492127
12	107.65	106.059539615892	105.656666666667	1.00381303860831	1.0149959201206
13	104.78	104.950275135024	105.653333333333	0.993345612711611	0.998377563710004
14	105.56	104.501960643106	105.678333333333	0.988868364468653	1.01012458857597
15	107.95	107.261957087332	105.702083333333	1.01475726593845	1.00641460338177
16	107.11	108.304875031573	105.705416666667	1.02459153416048	0.988967486170641
17	107.47	108.609043736118	105.963333333333	1.02496816888972	0.989512441165718
18	107.06	108.021170622128	106.459583333333	1.01466835807449	0.991102016238188
19	99.71	101.637759972175	106.941666666667	0.950403740096702	0.981033033660889
20	99.6	100.973432281922	107.422916666667	0.939961745734784	0.986398082635365
21	107.19	109.860693931984	107.98125	1.01740528037955	0.975690177838876
22	107.26	110.540695962539	108.762916666667	1.01634545440998	0.970321374096917
23	113.24	110.878697104788	109.68625	1.01087143652726	1.02129627202401
24	113.52	110.99913627671	110.5775	1.00381303860831	1.02271066071186
25	110.48	110.70919632472	111.450833333333	0.993345612711611	0.99792974448078
26	111.41	111.038792560729	112.28875	0.988868364468653	1.00334304282954
27	115.5	114.825704058321	113.155833333333	1.01475726593845	1.00587234319362
28	118.32	116.888817522141	114.083333333333	1.02459153416048	1.0122439640352
29	118.42	117.525412665317	114.6625	1.02496816888972	1.00761186295282
30	117.5	116.490269184189	114.80625	1.01466835807449	1.0086679413043
31	110.23	109.251681935025	114.952916666667	0.950403740096702	1.00895471856953
32	109.19	108.280459902828	115.196666666667	0.939961745734784	1.00839985439652
33	118.41	117.37253625212	115.364583333333	1.01740528037955	1.00883906730661
34	118.3	117.522565757063	115.6325	1.01634545440998	1.00661519120119
35	116.1	117.339007977061	116.077083333333	1.01087143652726	0.98944078360281
36	114.11	116.989808840038	116.545416666667	1.00381303860831	0.975384105089223
37	113.41	116.253720419672	117.0325	0.993345612711611	0.975538671713852
38	114.33	116.206041793563	117.514166666667	0.988868364468653	0.983855901426398
39	116.61	119.702881167737	117.962083333333	1.01475726593845	0.97416201567109
40	123.64	121.299257163563	118.387916666667	1.02459153416048	1.01929725615121
41	123.77	121.496737249695	118.537083333333	1.02496816888972	1.01871048393368
42	123.39	120.212410944393	118.474583333333	1.01466835807449	1.02643311976396
43	116.03	112.641851276261	118.52	0.950403740096702	1.03007895098802
44	114.95	111.379983759388	118.494166666667	0.939961745734784	1.03205258359818
45	123.4	120.435350064929	118.375	1.01740528037955	1.02461611091322
46	123.53	119.885992415838	117.957916666667	1.01634545440998	1.03039560761629
47	114.45	118.562162415259	117.287083333333	1.01087143652726	0.965316401696043
48	114.26	117.077224225484	116.6325	1.00381303860831	0.975937042886686
49	114.35	115.055497274338	115.82625	0.993345612711611	0.993868200207279
50	112.77	113.607790165922	114.886666666667	0.988868364468653	0.992625592270579
51	115.31	115.719536083401	114.036666666667	1.01475726593845	0.996460959858098
52	114.93	116.099455127699	113.312916666667	1.02459153416048	0.989927126476068
53	116.38	115.895286206712	113.072083333333	1.02496816888972	1.00418234260557
54	115.07	114.876523716368	113.215833333333	1.01466835807449	1.00168421081499
55	105	107.7041078449	113.324583333333	0.950403740096702	0.974893178180404
56	103.43	106.5998866316	113.40875	0.939961745734784	0.970263696034175
57	114.52	115.4420097326	113.467083333333	1.01740528037955	0.992013221748864
58	115.04	115.348856916443	113.49375	1.01634545440998	0.997322410254426
59	117.16	114.568799044545	113.336666666667	1.01087143652726	1.02261698627431
60	115	113.489847378757	113.05875	1.00381303860831	1.01330649971008
61	116.22	112.114366472701	112.865416666667	0.993345612711611	1.03662004840654
62	112.92	111.538583113271	112.794166666667	0.988868364468653	1.01238510341597
63	116.56	114.339043386198	112.67625	1.01475726593845	1.01942430641387
64	114.32	115.253740198877	112.4875	1.02459153416048	0.99189839568533
65	113.22	115.258097661719	112.450416666667	1.02496816888972	0.982317097860654
66	111.56	114.485453620027	112.830416666667	1.01466835807449	0.974446940397016
67	103.87	NA	NA	0.950403740096702	NA
68	102.85	NA	NA	0.939961745734784	NA
69	112.27	NA	NA	1.01740528037955	NA
70	112.76	NA	NA	1.01634545440998	NA
71	118.55	NA	NA	1.01087143652726	NA
72	122.73	NA	NA	1.00381303860831	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 98.01 & NA & NA & 0.993345612711611 & NA \tabularnewline
2 & 99.2 & NA & NA & 0.988868364468653 & NA \tabularnewline
3 & 100.7 & NA & NA & 1.01475726593845 & NA \tabularnewline
4 & 106.41 & NA & NA & 1.02459153416048 & NA \tabularnewline
5 & 107.51 & NA & NA & 1.02496816888972 & NA \tabularnewline
6 & 107.1 & NA & NA & 1.01466835807449 & NA \tabularnewline
7 & 99.75 & 99.0197936697668 & 104.187083333333 & 0.950403740096702 & 1.00737434711961 \tabularnewline
8 & 98.96 & 98.4461101380778 & 104.734166666667 & 0.939961745734784 & 1.00522001185422 \tabularnewline
9 & 107.26 & 107.134047780567 & 105.30125 & 1.01740528037955 & 1.00117565071088 \tabularnewline
10 & 107.11 & 107.359111212963 & 105.6325 & 1.01634545440998 & 0.997679645349629 \tabularnewline
11 & 107.2 & 106.80867598347 & 105.66 & 1.01087143652726 & 1.00366378492127 \tabularnewline
12 & 107.65 & 106.059539615892 & 105.656666666667 & 1.00381303860831 & 1.0149959201206 \tabularnewline
13 & 104.78 & 104.950275135024 & 105.653333333333 & 0.993345612711611 & 0.998377563710004 \tabularnewline
14 & 105.56 & 104.501960643106 & 105.678333333333 & 0.988868364468653 & 1.01012458857597 \tabularnewline
15 & 107.95 & 107.261957087332 & 105.702083333333 & 1.01475726593845 & 1.00641460338177 \tabularnewline
16 & 107.11 & 108.304875031573 & 105.705416666667 & 1.02459153416048 & 0.988967486170641 \tabularnewline
17 & 107.47 & 108.609043736118 & 105.963333333333 & 1.02496816888972 & 0.989512441165718 \tabularnewline
18 & 107.06 & 108.021170622128 & 106.459583333333 & 1.01466835807449 & 0.991102016238188 \tabularnewline
19 & 99.71 & 101.637759972175 & 106.941666666667 & 0.950403740096702 & 0.981033033660889 \tabularnewline
20 & 99.6 & 100.973432281922 & 107.422916666667 & 0.939961745734784 & 0.986398082635365 \tabularnewline
21 & 107.19 & 109.860693931984 & 107.98125 & 1.01740528037955 & 0.975690177838876 \tabularnewline
22 & 107.26 & 110.540695962539 & 108.762916666667 & 1.01634545440998 & 0.970321374096917 \tabularnewline
23 & 113.24 & 110.878697104788 & 109.68625 & 1.01087143652726 & 1.02129627202401 \tabularnewline
24 & 113.52 & 110.99913627671 & 110.5775 & 1.00381303860831 & 1.02271066071186 \tabularnewline
25 & 110.48 & 110.70919632472 & 111.450833333333 & 0.993345612711611 & 0.99792974448078 \tabularnewline
26 & 111.41 & 111.038792560729 & 112.28875 & 0.988868364468653 & 1.00334304282954 \tabularnewline
27 & 115.5 & 114.825704058321 & 113.155833333333 & 1.01475726593845 & 1.00587234319362 \tabularnewline
28 & 118.32 & 116.888817522141 & 114.083333333333 & 1.02459153416048 & 1.0122439640352 \tabularnewline
29 & 118.42 & 117.525412665317 & 114.6625 & 1.02496816888972 & 1.00761186295282 \tabularnewline
30 & 117.5 & 116.490269184189 & 114.80625 & 1.01466835807449 & 1.0086679413043 \tabularnewline
31 & 110.23 & 109.251681935025 & 114.952916666667 & 0.950403740096702 & 1.00895471856953 \tabularnewline
32 & 109.19 & 108.280459902828 & 115.196666666667 & 0.939961745734784 & 1.00839985439652 \tabularnewline
33 & 118.41 & 117.37253625212 & 115.364583333333 & 1.01740528037955 & 1.00883906730661 \tabularnewline
34 & 118.3 & 117.522565757063 & 115.6325 & 1.01634545440998 & 1.00661519120119 \tabularnewline
35 & 116.1 & 117.339007977061 & 116.077083333333 & 1.01087143652726 & 0.98944078360281 \tabularnewline
36 & 114.11 & 116.989808840038 & 116.545416666667 & 1.00381303860831 & 0.975384105089223 \tabularnewline
37 & 113.41 & 116.253720419672 & 117.0325 & 0.993345612711611 & 0.975538671713852 \tabularnewline
38 & 114.33 & 116.206041793563 & 117.514166666667 & 0.988868364468653 & 0.983855901426398 \tabularnewline
39 & 116.61 & 119.702881167737 & 117.962083333333 & 1.01475726593845 & 0.97416201567109 \tabularnewline
40 & 123.64 & 121.299257163563 & 118.387916666667 & 1.02459153416048 & 1.01929725615121 \tabularnewline
41 & 123.77 & 121.496737249695 & 118.537083333333 & 1.02496816888972 & 1.01871048393368 \tabularnewline
42 & 123.39 & 120.212410944393 & 118.474583333333 & 1.01466835807449 & 1.02643311976396 \tabularnewline
43 & 116.03 & 112.641851276261 & 118.52 & 0.950403740096702 & 1.03007895098802 \tabularnewline
44 & 114.95 & 111.379983759388 & 118.494166666667 & 0.939961745734784 & 1.03205258359818 \tabularnewline
45 & 123.4 & 120.435350064929 & 118.375 & 1.01740528037955 & 1.02461611091322 \tabularnewline
46 & 123.53 & 119.885992415838 & 117.957916666667 & 1.01634545440998 & 1.03039560761629 \tabularnewline
47 & 114.45 & 118.562162415259 & 117.287083333333 & 1.01087143652726 & 0.965316401696043 \tabularnewline
48 & 114.26 & 117.077224225484 & 116.6325 & 1.00381303860831 & 0.975937042886686 \tabularnewline
49 & 114.35 & 115.055497274338 & 115.82625 & 0.993345612711611 & 0.993868200207279 \tabularnewline
50 & 112.77 & 113.607790165922 & 114.886666666667 & 0.988868364468653 & 0.992625592270579 \tabularnewline
51 & 115.31 & 115.719536083401 & 114.036666666667 & 1.01475726593845 & 0.996460959858098 \tabularnewline
52 & 114.93 & 116.099455127699 & 113.312916666667 & 1.02459153416048 & 0.989927126476068 \tabularnewline
53 & 116.38 & 115.895286206712 & 113.072083333333 & 1.02496816888972 & 1.00418234260557 \tabularnewline
54 & 115.07 & 114.876523716368 & 113.215833333333 & 1.01466835807449 & 1.00168421081499 \tabularnewline
55 & 105 & 107.7041078449 & 113.324583333333 & 0.950403740096702 & 0.974893178180404 \tabularnewline
56 & 103.43 & 106.5998866316 & 113.40875 & 0.939961745734784 & 0.970263696034175 \tabularnewline
57 & 114.52 & 115.4420097326 & 113.467083333333 & 1.01740528037955 & 0.992013221748864 \tabularnewline
58 & 115.04 & 115.348856916443 & 113.49375 & 1.01634545440998 & 0.997322410254426 \tabularnewline
59 & 117.16 & 114.568799044545 & 113.336666666667 & 1.01087143652726 & 1.02261698627431 \tabularnewline
60 & 115 & 113.489847378757 & 113.05875 & 1.00381303860831 & 1.01330649971008 \tabularnewline
61 & 116.22 & 112.114366472701 & 112.865416666667 & 0.993345612711611 & 1.03662004840654 \tabularnewline
62 & 112.92 & 111.538583113271 & 112.794166666667 & 0.988868364468653 & 1.01238510341597 \tabularnewline
63 & 116.56 & 114.339043386198 & 112.67625 & 1.01475726593845 & 1.01942430641387 \tabularnewline
64 & 114.32 & 115.253740198877 & 112.4875 & 1.02459153416048 & 0.99189839568533 \tabularnewline
65 & 113.22 & 115.258097661719 & 112.450416666667 & 1.02496816888972 & 0.982317097860654 \tabularnewline
66 & 111.56 & 114.485453620027 & 112.830416666667 & 1.01466835807449 & 0.974446940397016 \tabularnewline
67 & 103.87 & NA & NA & 0.950403740096702 & NA \tabularnewline
68 & 102.85 & NA & NA & 0.939961745734784 & NA \tabularnewline
69 & 112.27 & NA & NA & 1.01740528037955 & NA \tabularnewline
70 & 112.76 & NA & NA & 1.01634545440998 & NA \tabularnewline
71 & 118.55 & NA & NA & 1.01087143652726 & NA \tabularnewline
72 & 122.73 & NA & NA & 1.00381303860831 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196737&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]98.01[/C][C]NA[/C][C]NA[/C][C]0.993345612711611[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]99.2[/C][C]NA[/C][C]NA[/C][C]0.988868364468653[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]100.7[/C][C]NA[/C][C]NA[/C][C]1.01475726593845[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]106.41[/C][C]NA[/C][C]NA[/C][C]1.02459153416048[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]107.51[/C][C]NA[/C][C]NA[/C][C]1.02496816888972[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]107.1[/C][C]NA[/C][C]NA[/C][C]1.01466835807449[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]99.75[/C][C]99.0197936697668[/C][C]104.187083333333[/C][C]0.950403740096702[/C][C]1.00737434711961[/C][/ROW]
[ROW][C]8[/C][C]98.96[/C][C]98.4461101380778[/C][C]104.734166666667[/C][C]0.939961745734784[/C][C]1.00522001185422[/C][/ROW]
[ROW][C]9[/C][C]107.26[/C][C]107.134047780567[/C][C]105.30125[/C][C]1.01740528037955[/C][C]1.00117565071088[/C][/ROW]
[ROW][C]10[/C][C]107.11[/C][C]107.359111212963[/C][C]105.6325[/C][C]1.01634545440998[/C][C]0.997679645349629[/C][/ROW]
[ROW][C]11[/C][C]107.2[/C][C]106.80867598347[/C][C]105.66[/C][C]1.01087143652726[/C][C]1.00366378492127[/C][/ROW]
[ROW][C]12[/C][C]107.65[/C][C]106.059539615892[/C][C]105.656666666667[/C][C]1.00381303860831[/C][C]1.0149959201206[/C][/ROW]
[ROW][C]13[/C][C]104.78[/C][C]104.950275135024[/C][C]105.653333333333[/C][C]0.993345612711611[/C][C]0.998377563710004[/C][/ROW]
[ROW][C]14[/C][C]105.56[/C][C]104.501960643106[/C][C]105.678333333333[/C][C]0.988868364468653[/C][C]1.01012458857597[/C][/ROW]
[ROW][C]15[/C][C]107.95[/C][C]107.261957087332[/C][C]105.702083333333[/C][C]1.01475726593845[/C][C]1.00641460338177[/C][/ROW]
[ROW][C]16[/C][C]107.11[/C][C]108.304875031573[/C][C]105.705416666667[/C][C]1.02459153416048[/C][C]0.988967486170641[/C][/ROW]
[ROW][C]17[/C][C]107.47[/C][C]108.609043736118[/C][C]105.963333333333[/C][C]1.02496816888972[/C][C]0.989512441165718[/C][/ROW]
[ROW][C]18[/C][C]107.06[/C][C]108.021170622128[/C][C]106.459583333333[/C][C]1.01466835807449[/C][C]0.991102016238188[/C][/ROW]
[ROW][C]19[/C][C]99.71[/C][C]101.637759972175[/C][C]106.941666666667[/C][C]0.950403740096702[/C][C]0.981033033660889[/C][/ROW]
[ROW][C]20[/C][C]99.6[/C][C]100.973432281922[/C][C]107.422916666667[/C][C]0.939961745734784[/C][C]0.986398082635365[/C][/ROW]
[ROW][C]21[/C][C]107.19[/C][C]109.860693931984[/C][C]107.98125[/C][C]1.01740528037955[/C][C]0.975690177838876[/C][/ROW]
[ROW][C]22[/C][C]107.26[/C][C]110.540695962539[/C][C]108.762916666667[/C][C]1.01634545440998[/C][C]0.970321374096917[/C][/ROW]
[ROW][C]23[/C][C]113.24[/C][C]110.878697104788[/C][C]109.68625[/C][C]1.01087143652726[/C][C]1.02129627202401[/C][/ROW]
[ROW][C]24[/C][C]113.52[/C][C]110.99913627671[/C][C]110.5775[/C][C]1.00381303860831[/C][C]1.02271066071186[/C][/ROW]
[ROW][C]25[/C][C]110.48[/C][C]110.70919632472[/C][C]111.450833333333[/C][C]0.993345612711611[/C][C]0.99792974448078[/C][/ROW]
[ROW][C]26[/C][C]111.41[/C][C]111.038792560729[/C][C]112.28875[/C][C]0.988868364468653[/C][C]1.00334304282954[/C][/ROW]
[ROW][C]27[/C][C]115.5[/C][C]114.825704058321[/C][C]113.155833333333[/C][C]1.01475726593845[/C][C]1.00587234319362[/C][/ROW]
[ROW][C]28[/C][C]118.32[/C][C]116.888817522141[/C][C]114.083333333333[/C][C]1.02459153416048[/C][C]1.0122439640352[/C][/ROW]
[ROW][C]29[/C][C]118.42[/C][C]117.525412665317[/C][C]114.6625[/C][C]1.02496816888972[/C][C]1.00761186295282[/C][/ROW]
[ROW][C]30[/C][C]117.5[/C][C]116.490269184189[/C][C]114.80625[/C][C]1.01466835807449[/C][C]1.0086679413043[/C][/ROW]
[ROW][C]31[/C][C]110.23[/C][C]109.251681935025[/C][C]114.952916666667[/C][C]0.950403740096702[/C][C]1.00895471856953[/C][/ROW]
[ROW][C]32[/C][C]109.19[/C][C]108.280459902828[/C][C]115.196666666667[/C][C]0.939961745734784[/C][C]1.00839985439652[/C][/ROW]
[ROW][C]33[/C][C]118.41[/C][C]117.37253625212[/C][C]115.364583333333[/C][C]1.01740528037955[/C][C]1.00883906730661[/C][/ROW]
[ROW][C]34[/C][C]118.3[/C][C]117.522565757063[/C][C]115.6325[/C][C]1.01634545440998[/C][C]1.00661519120119[/C][/ROW]
[ROW][C]35[/C][C]116.1[/C][C]117.339007977061[/C][C]116.077083333333[/C][C]1.01087143652726[/C][C]0.98944078360281[/C][/ROW]
[ROW][C]36[/C][C]114.11[/C][C]116.989808840038[/C][C]116.545416666667[/C][C]1.00381303860831[/C][C]0.975384105089223[/C][/ROW]
[ROW][C]37[/C][C]113.41[/C][C]116.253720419672[/C][C]117.0325[/C][C]0.993345612711611[/C][C]0.975538671713852[/C][/ROW]
[ROW][C]38[/C][C]114.33[/C][C]116.206041793563[/C][C]117.514166666667[/C][C]0.988868364468653[/C][C]0.983855901426398[/C][/ROW]
[ROW][C]39[/C][C]116.61[/C][C]119.702881167737[/C][C]117.962083333333[/C][C]1.01475726593845[/C][C]0.97416201567109[/C][/ROW]
[ROW][C]40[/C][C]123.64[/C][C]121.299257163563[/C][C]118.387916666667[/C][C]1.02459153416048[/C][C]1.01929725615121[/C][/ROW]
[ROW][C]41[/C][C]123.77[/C][C]121.496737249695[/C][C]118.537083333333[/C][C]1.02496816888972[/C][C]1.01871048393368[/C][/ROW]
[ROW][C]42[/C][C]123.39[/C][C]120.212410944393[/C][C]118.474583333333[/C][C]1.01466835807449[/C][C]1.02643311976396[/C][/ROW]
[ROW][C]43[/C][C]116.03[/C][C]112.641851276261[/C][C]118.52[/C][C]0.950403740096702[/C][C]1.03007895098802[/C][/ROW]
[ROW][C]44[/C][C]114.95[/C][C]111.379983759388[/C][C]118.494166666667[/C][C]0.939961745734784[/C][C]1.03205258359818[/C][/ROW]
[ROW][C]45[/C][C]123.4[/C][C]120.435350064929[/C][C]118.375[/C][C]1.01740528037955[/C][C]1.02461611091322[/C][/ROW]
[ROW][C]46[/C][C]123.53[/C][C]119.885992415838[/C][C]117.957916666667[/C][C]1.01634545440998[/C][C]1.03039560761629[/C][/ROW]
[ROW][C]47[/C][C]114.45[/C][C]118.562162415259[/C][C]117.287083333333[/C][C]1.01087143652726[/C][C]0.965316401696043[/C][/ROW]
[ROW][C]48[/C][C]114.26[/C][C]117.077224225484[/C][C]116.6325[/C][C]1.00381303860831[/C][C]0.975937042886686[/C][/ROW]
[ROW][C]49[/C][C]114.35[/C][C]115.055497274338[/C][C]115.82625[/C][C]0.993345612711611[/C][C]0.993868200207279[/C][/ROW]
[ROW][C]50[/C][C]112.77[/C][C]113.607790165922[/C][C]114.886666666667[/C][C]0.988868364468653[/C][C]0.992625592270579[/C][/ROW]
[ROW][C]51[/C][C]115.31[/C][C]115.719536083401[/C][C]114.036666666667[/C][C]1.01475726593845[/C][C]0.996460959858098[/C][/ROW]
[ROW][C]52[/C][C]114.93[/C][C]116.099455127699[/C][C]113.312916666667[/C][C]1.02459153416048[/C][C]0.989927126476068[/C][/ROW]
[ROW][C]53[/C][C]116.38[/C][C]115.895286206712[/C][C]113.072083333333[/C][C]1.02496816888972[/C][C]1.00418234260557[/C][/ROW]
[ROW][C]54[/C][C]115.07[/C][C]114.876523716368[/C][C]113.215833333333[/C][C]1.01466835807449[/C][C]1.00168421081499[/C][/ROW]
[ROW][C]55[/C][C]105[/C][C]107.7041078449[/C][C]113.324583333333[/C][C]0.950403740096702[/C][C]0.974893178180404[/C][/ROW]
[ROW][C]56[/C][C]103.43[/C][C]106.5998866316[/C][C]113.40875[/C][C]0.939961745734784[/C][C]0.970263696034175[/C][/ROW]
[ROW][C]57[/C][C]114.52[/C][C]115.4420097326[/C][C]113.467083333333[/C][C]1.01740528037955[/C][C]0.992013221748864[/C][/ROW]
[ROW][C]58[/C][C]115.04[/C][C]115.348856916443[/C][C]113.49375[/C][C]1.01634545440998[/C][C]0.997322410254426[/C][/ROW]
[ROW][C]59[/C][C]117.16[/C][C]114.568799044545[/C][C]113.336666666667[/C][C]1.01087143652726[/C][C]1.02261698627431[/C][/ROW]
[ROW][C]60[/C][C]115[/C][C]113.489847378757[/C][C]113.05875[/C][C]1.00381303860831[/C][C]1.01330649971008[/C][/ROW]
[ROW][C]61[/C][C]116.22[/C][C]112.114366472701[/C][C]112.865416666667[/C][C]0.993345612711611[/C][C]1.03662004840654[/C][/ROW]
[ROW][C]62[/C][C]112.92[/C][C]111.538583113271[/C][C]112.794166666667[/C][C]0.988868364468653[/C][C]1.01238510341597[/C][/ROW]
[ROW][C]63[/C][C]116.56[/C][C]114.339043386198[/C][C]112.67625[/C][C]1.01475726593845[/C][C]1.01942430641387[/C][/ROW]
[ROW][C]64[/C][C]114.32[/C][C]115.253740198877[/C][C]112.4875[/C][C]1.02459153416048[/C][C]0.99189839568533[/C][/ROW]
[ROW][C]65[/C][C]113.22[/C][C]115.258097661719[/C][C]112.450416666667[/C][C]1.02496816888972[/C][C]0.982317097860654[/C][/ROW]
[ROW][C]66[/C][C]111.56[/C][C]114.485453620027[/C][C]112.830416666667[/C][C]1.01466835807449[/C][C]0.974446940397016[/C][/ROW]
[ROW][C]67[/C][C]103.87[/C][C]NA[/C][C]NA[/C][C]0.950403740096702[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]102.85[/C][C]NA[/C][C]NA[/C][C]0.939961745734784[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]112.27[/C][C]NA[/C][C]NA[/C][C]1.01740528037955[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]112.76[/C][C]NA[/C][C]NA[/C][C]1.01634545440998[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]118.55[/C][C]NA[/C][C]NA[/C][C]1.01087143652726[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]122.73[/C][C]NA[/C][C]NA[/C][C]1.00381303860831[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196737&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196737&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	98.01	NA	NA	0.993345612711611	NA
2	99.2	NA	NA	0.988868364468653	NA
3	100.7	NA	NA	1.01475726593845	NA
4	106.41	NA	NA	1.02459153416048	NA
5	107.51	NA	NA	1.02496816888972	NA
6	107.1	NA	NA	1.01466835807449	NA
7	99.75	99.0197936697668	104.187083333333	0.950403740096702	1.00737434711961
8	98.96	98.4461101380778	104.734166666667	0.939961745734784	1.00522001185422
9	107.26	107.134047780567	105.30125	1.01740528037955	1.00117565071088
10	107.11	107.359111212963	105.6325	1.01634545440998	0.997679645349629
11	107.2	106.80867598347	105.66	1.01087143652726	1.00366378492127
12	107.65	106.059539615892	105.656666666667	1.00381303860831	1.0149959201206
13	104.78	104.950275135024	105.653333333333	0.993345612711611	0.998377563710004
14	105.56	104.501960643106	105.678333333333	0.988868364468653	1.01012458857597
15	107.95	107.261957087332	105.702083333333	1.01475726593845	1.00641460338177
16	107.11	108.304875031573	105.705416666667	1.02459153416048	0.988967486170641
17	107.47	108.609043736118	105.963333333333	1.02496816888972	0.989512441165718
18	107.06	108.021170622128	106.459583333333	1.01466835807449	0.991102016238188
19	99.71	101.637759972175	106.941666666667	0.950403740096702	0.981033033660889
20	99.6	100.973432281922	107.422916666667	0.939961745734784	0.986398082635365
21	107.19	109.860693931984	107.98125	1.01740528037955	0.975690177838876
22	107.26	110.540695962539	108.762916666667	1.01634545440998	0.970321374096917
23	113.24	110.878697104788	109.68625	1.01087143652726	1.02129627202401
24	113.52	110.99913627671	110.5775	1.00381303860831	1.02271066071186
25	110.48	110.70919632472	111.450833333333	0.993345612711611	0.99792974448078
26	111.41	111.038792560729	112.28875	0.988868364468653	1.00334304282954
27	115.5	114.825704058321	113.155833333333	1.01475726593845	1.00587234319362
28	118.32	116.888817522141	114.083333333333	1.02459153416048	1.0122439640352
29	118.42	117.525412665317	114.6625	1.02496816888972	1.00761186295282
30	117.5	116.490269184189	114.80625	1.01466835807449	1.0086679413043
31	110.23	109.251681935025	114.952916666667	0.950403740096702	1.00895471856953
32	109.19	108.280459902828	115.196666666667	0.939961745734784	1.00839985439652
33	118.41	117.37253625212	115.364583333333	1.01740528037955	1.00883906730661
34	118.3	117.522565757063	115.6325	1.01634545440998	1.00661519120119
35	116.1	117.339007977061	116.077083333333	1.01087143652726	0.98944078360281
36	114.11	116.989808840038	116.545416666667	1.00381303860831	0.975384105089223
37	113.41	116.253720419672	117.0325	0.993345612711611	0.975538671713852
38	114.33	116.206041793563	117.514166666667	0.988868364468653	0.983855901426398
39	116.61	119.702881167737	117.962083333333	1.01475726593845	0.97416201567109
40	123.64	121.299257163563	118.387916666667	1.02459153416048	1.01929725615121
41	123.77	121.496737249695	118.537083333333	1.02496816888972	1.01871048393368
42	123.39	120.212410944393	118.474583333333	1.01466835807449	1.02643311976396
43	116.03	112.641851276261	118.52	0.950403740096702	1.03007895098802
44	114.95	111.379983759388	118.494166666667	0.939961745734784	1.03205258359818
45	123.4	120.435350064929	118.375	1.01740528037955	1.02461611091322
46	123.53	119.885992415838	117.957916666667	1.01634545440998	1.03039560761629
47	114.45	118.562162415259	117.287083333333	1.01087143652726	0.965316401696043
48	114.26	117.077224225484	116.6325	1.00381303860831	0.975937042886686
49	114.35	115.055497274338	115.82625	0.993345612711611	0.993868200207279
50	112.77	113.607790165922	114.886666666667	0.988868364468653	0.992625592270579
51	115.31	115.719536083401	114.036666666667	1.01475726593845	0.996460959858098
52	114.93	116.099455127699	113.312916666667	1.02459153416048	0.989927126476068
53	116.38	115.895286206712	113.072083333333	1.02496816888972	1.00418234260557
54	115.07	114.876523716368	113.215833333333	1.01466835807449	1.00168421081499
55	105	107.7041078449	113.324583333333	0.950403740096702	0.974893178180404
56	103.43	106.5998866316	113.40875	0.939961745734784	0.970263696034175
57	114.52	115.4420097326	113.467083333333	1.01740528037955	0.992013221748864
58	115.04	115.348856916443	113.49375	1.01634545440998	0.997322410254426
59	117.16	114.568799044545	113.336666666667	1.01087143652726	1.02261698627431
60	115	113.489847378757	113.05875	1.00381303860831	1.01330649971008
61	116.22	112.114366472701	112.865416666667	0.993345612711611	1.03662004840654
62	112.92	111.538583113271	112.794166666667	0.988868364468653	1.01238510341597
63	116.56	114.339043386198	112.67625	1.01475726593845	1.01942430641387
64	114.32	115.253740198877	112.4875	1.02459153416048	0.99189839568533
65	113.22	115.258097661719	112.450416666667	1.02496816888972	0.982317097860654
66	111.56	114.485453620027	112.830416666667	1.01466835807449	0.974446940397016
67	103.87	NA	NA	0.950403740096702	NA
68	102.85	NA	NA	0.939961745734784	NA
69	112.27	NA	NA	1.01740528037955	NA
70	112.76	NA	NA	1.01634545440998	NA
71	118.55	NA	NA	1.01087143652726	NA
72	122.73	NA	NA	1.00381303860831	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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