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rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 09 Dec 2009 09:07:46 -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/Dec/09/t1260374939iq4kxnwfk5otmtw.htm/, Retrieved Mon, 29 Apr 2024 16:15:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65016, Retrieved Mon, 29 Apr 2024 16:15:24 +0000

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Estimated Impact

145

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-   PD    [Classical Decomposition] [workshop 9 bereke...] [2009-12-03 17:49:36] [eaf42bcf5162b5692bb3c7f9d4636222]
-   PD        [Classical Decomposition] [] [2009-12-09 16:07:46] [17416e80e7873ecccac25c455c5f767e] [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=65016&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=65016&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65016&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	153.4	NA	NA	0.95714564467741	NA
2	145	NA	NA	0.91854708876129	NA
3	137.7	NA	NA	0.893643458283059	NA
4	148.3	NA	NA	0.903290503909825	NA
5	152.2	NA	NA	0.915789291918695	NA
6	169.4	NA	NA	0.95501459237464	NA
7	168.6	172.597249064462	165.291666666667	1.04419812895061	0.97684059806209
8	161.1	177.381286982606	167.708333333333	1.05767723915094	0.908213051897618
9	174.1	186.722617678812	170.733333333333	1.09365063068418	0.93239909639375
10	179	197.288756282014	174.5375	1.13035167962194	0.90729955104045
11	190.6	194.381536205865	178.291666666667	1.09024465270875	0.980545805534431
12	190	188.503001342085	181.175	1.04044708895866	1.00794151099588
13	181.6	176.413906634605	184.3125	0.95714564467741	1.02939730469286
14	174.8	173.433172196741	188.8125	0.91854708876129	1.00788100561125
15	180.5	172.607233967373	193.15	0.893643458283059	1.04572673955322
16	196.8	178.027267189328	197.0875	0.903290503909825	1.10544863776799
17	193.8	183.829437197813	200.733333333333	0.915789291918695	1.05423811851993
18	197	193.732668518132	202.858333333333	0.95501459237464	1.01686515499353
19	216.3	213.094733165596	204.075	1.04419812895061	1.01504151128838
20	221.4	217.564208093349	205.7	1.05767723915094	1.01763062012942
21	217.9	227.287942321939	207.825	1.09365063068418	0.958695818942116
22	229.7	235.899685738433	208.695833333333	1.13035167962194	0.973718974151973
23	227.4	227.606741997164	208.766666666667	1.09024465270875	0.99909167015287
24	204.2	218.134067396386	209.654166666667	1.04044708895866	0.936121544137047
25	196.6	201.495110632006	210.516666666667	0.95714564467741	0.975706057498606
26	198.8	193.736890137902	210.916666666667	0.91854708876129	1.02613394825577
27	207.5	189.068891171829	211.570833333333	0.893643458283059	1.09748356122436
28	190.7	192.148708733784	212.720833333333	0.903290503909825	0.992460481554463
29	201.6	195.631671697415	213.620833333333	0.915789291918695	1.03050798600656
30	210.5	206.131941309130	215.841666666667	0.95501459237464	1.02119059599948
31	223.5	230.389264676341	220.6375	1.04419812895061	0.970097284324342
32	223.8	240.32189668908	227.216666666667	1.05767723915094	0.931250972480233
33	231.2	255.996271377399	234.075	1.09365063068418	0.903138154145834
34	244	273.088255997995	241.595833333333	1.13035167962194	0.89348404642414
35	234.7	273.183511166443	250.570833333333	1.09024465270875	0.859129451107333
36	250.2	270.850053236958	260.320833333333	1.04044708895866	0.923758356366678
37	265.7	259.035516304530	270.633333333333	0.95714564467741	1.02572806922598
38	287.6	259.443625220626	282.45	0.91854708876129	1.10852598423041
39	283.3	264.894538607146	296.420833333333	0.893643458283059	1.06948222296176
40	295.4	280.757743456905	310.816666666667	0.903290503909825	1.05215263651434
41	312.3	295.998362302988	323.216666666667	0.915789291918695	1.05507340503569
42	333.8	316.623150419407	331.5375	0.95501459237464	1.05425013792529
43	347.7	348.166111970895	333.429166666667	1.04419812895061	0.998661236820963
44	383.2	347.244251590248	328.308333333333	1.05767723915094	1.10354598598850
45	407.1	349.020371272344	319.133333333333	1.09365063068418	1.16640756101407
46	413.6	348.694653968707	308.483333333333	1.13035167962194	1.18613805887921
47	362.7	323.298423702622	296.5375	1.09024465270875	1.12187370370114
48	321.9	294.559241276604	283.108333333333	1.04044708895866	1.09281921899616
49	239.4	257.472178418223	269	0.95714564467741	0.929809199078326
50	191	233.467879006364	254.170833333333	0.91854708876129	0.818099692398342
51	159.7	213.517486784689	238.929166666667	0.893643458283059	0.747948106756432
52	163.4	201.584330789209	223.166666666667	0.903290503909825	0.810578874658976
53	157.6	192.002856628187	209.658333333333	0.915789291918695	0.82082112093359
54	166.2	191.400841221751	200.416666666667	0.95501459237464	0.868334741577473
55	176.7	NA	NA	1.04419812895061	NA
56	198.3	NA	NA	1.05767723915094	NA
57	226.2	NA	NA	1.09365063068418	NA
58	216.2	NA	NA	1.13035167962194	NA
59	235.9	NA	NA	1.09024465270875	NA
60	226.9	NA	NA	1.04044708895866	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 153.4 & NA & NA & 0.95714564467741 & NA \tabularnewline
2 & 145 & NA & NA & 0.91854708876129 & NA \tabularnewline
3 & 137.7 & NA & NA & 0.893643458283059 & NA \tabularnewline
4 & 148.3 & NA & NA & 0.903290503909825 & NA \tabularnewline
5 & 152.2 & NA & NA & 0.915789291918695 & NA \tabularnewline
6 & 169.4 & NA & NA & 0.95501459237464 & NA \tabularnewline
7 & 168.6 & 172.597249064462 & 165.291666666667 & 1.04419812895061 & 0.97684059806209 \tabularnewline
8 & 161.1 & 177.381286982606 & 167.708333333333 & 1.05767723915094 & 0.908213051897618 \tabularnewline
9 & 174.1 & 186.722617678812 & 170.733333333333 & 1.09365063068418 & 0.93239909639375 \tabularnewline
10 & 179 & 197.288756282014 & 174.5375 & 1.13035167962194 & 0.90729955104045 \tabularnewline
11 & 190.6 & 194.381536205865 & 178.291666666667 & 1.09024465270875 & 0.980545805534431 \tabularnewline
12 & 190 & 188.503001342085 & 181.175 & 1.04044708895866 & 1.00794151099588 \tabularnewline
13 & 181.6 & 176.413906634605 & 184.3125 & 0.95714564467741 & 1.02939730469286 \tabularnewline
14 & 174.8 & 173.433172196741 & 188.8125 & 0.91854708876129 & 1.00788100561125 \tabularnewline
15 & 180.5 & 172.607233967373 & 193.15 & 0.893643458283059 & 1.04572673955322 \tabularnewline
16 & 196.8 & 178.027267189328 & 197.0875 & 0.903290503909825 & 1.10544863776799 \tabularnewline
17 & 193.8 & 183.829437197813 & 200.733333333333 & 0.915789291918695 & 1.05423811851993 \tabularnewline
18 & 197 & 193.732668518132 & 202.858333333333 & 0.95501459237464 & 1.01686515499353 \tabularnewline
19 & 216.3 & 213.094733165596 & 204.075 & 1.04419812895061 & 1.01504151128838 \tabularnewline
20 & 221.4 & 217.564208093349 & 205.7 & 1.05767723915094 & 1.01763062012942 \tabularnewline
21 & 217.9 & 227.287942321939 & 207.825 & 1.09365063068418 & 0.958695818942116 \tabularnewline
22 & 229.7 & 235.899685738433 & 208.695833333333 & 1.13035167962194 & 0.973718974151973 \tabularnewline
23 & 227.4 & 227.606741997164 & 208.766666666667 & 1.09024465270875 & 0.99909167015287 \tabularnewline
24 & 204.2 & 218.134067396386 & 209.654166666667 & 1.04044708895866 & 0.936121544137047 \tabularnewline
25 & 196.6 & 201.495110632006 & 210.516666666667 & 0.95714564467741 & 0.975706057498606 \tabularnewline
26 & 198.8 & 193.736890137902 & 210.916666666667 & 0.91854708876129 & 1.02613394825577 \tabularnewline
27 & 207.5 & 189.068891171829 & 211.570833333333 & 0.893643458283059 & 1.09748356122436 \tabularnewline
28 & 190.7 & 192.148708733784 & 212.720833333333 & 0.903290503909825 & 0.992460481554463 \tabularnewline
29 & 201.6 & 195.631671697415 & 213.620833333333 & 0.915789291918695 & 1.03050798600656 \tabularnewline
30 & 210.5 & 206.131941309130 & 215.841666666667 & 0.95501459237464 & 1.02119059599948 \tabularnewline
31 & 223.5 & 230.389264676341 & 220.6375 & 1.04419812895061 & 0.970097284324342 \tabularnewline
32 & 223.8 & 240.32189668908 & 227.216666666667 & 1.05767723915094 & 0.931250972480233 \tabularnewline
33 & 231.2 & 255.996271377399 & 234.075 & 1.09365063068418 & 0.903138154145834 \tabularnewline
34 & 244 & 273.088255997995 & 241.595833333333 & 1.13035167962194 & 0.89348404642414 \tabularnewline
35 & 234.7 & 273.183511166443 & 250.570833333333 & 1.09024465270875 & 0.859129451107333 \tabularnewline
36 & 250.2 & 270.850053236958 & 260.320833333333 & 1.04044708895866 & 0.923758356366678 \tabularnewline
37 & 265.7 & 259.035516304530 & 270.633333333333 & 0.95714564467741 & 1.02572806922598 \tabularnewline
38 & 287.6 & 259.443625220626 & 282.45 & 0.91854708876129 & 1.10852598423041 \tabularnewline
39 & 283.3 & 264.894538607146 & 296.420833333333 & 0.893643458283059 & 1.06948222296176 \tabularnewline
40 & 295.4 & 280.757743456905 & 310.816666666667 & 0.903290503909825 & 1.05215263651434 \tabularnewline
41 & 312.3 & 295.998362302988 & 323.216666666667 & 0.915789291918695 & 1.05507340503569 \tabularnewline
42 & 333.8 & 316.623150419407 & 331.5375 & 0.95501459237464 & 1.05425013792529 \tabularnewline
43 & 347.7 & 348.166111970895 & 333.429166666667 & 1.04419812895061 & 0.998661236820963 \tabularnewline
44 & 383.2 & 347.244251590248 & 328.308333333333 & 1.05767723915094 & 1.10354598598850 \tabularnewline
45 & 407.1 & 349.020371272344 & 319.133333333333 & 1.09365063068418 & 1.16640756101407 \tabularnewline
46 & 413.6 & 348.694653968707 & 308.483333333333 & 1.13035167962194 & 1.18613805887921 \tabularnewline
47 & 362.7 & 323.298423702622 & 296.5375 & 1.09024465270875 & 1.12187370370114 \tabularnewline
48 & 321.9 & 294.559241276604 & 283.108333333333 & 1.04044708895866 & 1.09281921899616 \tabularnewline
49 & 239.4 & 257.472178418223 & 269 & 0.95714564467741 & 0.929809199078326 \tabularnewline
50 & 191 & 233.467879006364 & 254.170833333333 & 0.91854708876129 & 0.818099692398342 \tabularnewline
51 & 159.7 & 213.517486784689 & 238.929166666667 & 0.893643458283059 & 0.747948106756432 \tabularnewline
52 & 163.4 & 201.584330789209 & 223.166666666667 & 0.903290503909825 & 0.810578874658976 \tabularnewline
53 & 157.6 & 192.002856628187 & 209.658333333333 & 0.915789291918695 & 0.82082112093359 \tabularnewline
54 & 166.2 & 191.400841221751 & 200.416666666667 & 0.95501459237464 & 0.868334741577473 \tabularnewline
55 & 176.7 & NA & NA & 1.04419812895061 & NA \tabularnewline
56 & 198.3 & NA & NA & 1.05767723915094 & NA \tabularnewline
57 & 226.2 & NA & NA & 1.09365063068418 & NA \tabularnewline
58 & 216.2 & NA & NA & 1.13035167962194 & NA \tabularnewline
59 & 235.9 & NA & NA & 1.09024465270875 & NA \tabularnewline
60 & 226.9 & NA & NA & 1.04044708895866 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65016&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]153.4[/C][C]NA[/C][C]NA[/C][C]0.95714564467741[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]145[/C][C]NA[/C][C]NA[/C][C]0.91854708876129[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]137.7[/C][C]NA[/C][C]NA[/C][C]0.893643458283059[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]148.3[/C][C]NA[/C][C]NA[/C][C]0.903290503909825[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]152.2[/C][C]NA[/C][C]NA[/C][C]0.915789291918695[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]169.4[/C][C]NA[/C][C]NA[/C][C]0.95501459237464[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]168.6[/C][C]172.597249064462[/C][C]165.291666666667[/C][C]1.04419812895061[/C][C]0.97684059806209[/C][/ROW]
[ROW][C]8[/C][C]161.1[/C][C]177.381286982606[/C][C]167.708333333333[/C][C]1.05767723915094[/C][C]0.908213051897618[/C][/ROW]
[ROW][C]9[/C][C]174.1[/C][C]186.722617678812[/C][C]170.733333333333[/C][C]1.09365063068418[/C][C]0.93239909639375[/C][/ROW]
[ROW][C]10[/C][C]179[/C][C]197.288756282014[/C][C]174.5375[/C][C]1.13035167962194[/C][C]0.90729955104045[/C][/ROW]
[ROW][C]11[/C][C]190.6[/C][C]194.381536205865[/C][C]178.291666666667[/C][C]1.09024465270875[/C][C]0.980545805534431[/C][/ROW]
[ROW][C]12[/C][C]190[/C][C]188.503001342085[/C][C]181.175[/C][C]1.04044708895866[/C][C]1.00794151099588[/C][/ROW]
[ROW][C]13[/C][C]181.6[/C][C]176.413906634605[/C][C]184.3125[/C][C]0.95714564467741[/C][C]1.02939730469286[/C][/ROW]
[ROW][C]14[/C][C]174.8[/C][C]173.433172196741[/C][C]188.8125[/C][C]0.91854708876129[/C][C]1.00788100561125[/C][/ROW]
[ROW][C]15[/C][C]180.5[/C][C]172.607233967373[/C][C]193.15[/C][C]0.893643458283059[/C][C]1.04572673955322[/C][/ROW]
[ROW][C]16[/C][C]196.8[/C][C]178.027267189328[/C][C]197.0875[/C][C]0.903290503909825[/C][C]1.10544863776799[/C][/ROW]
[ROW][C]17[/C][C]193.8[/C][C]183.829437197813[/C][C]200.733333333333[/C][C]0.915789291918695[/C][C]1.05423811851993[/C][/ROW]
[ROW][C]18[/C][C]197[/C][C]193.732668518132[/C][C]202.858333333333[/C][C]0.95501459237464[/C][C]1.01686515499353[/C][/ROW]
[ROW][C]19[/C][C]216.3[/C][C]213.094733165596[/C][C]204.075[/C][C]1.04419812895061[/C][C]1.01504151128838[/C][/ROW]
[ROW][C]20[/C][C]221.4[/C][C]217.564208093349[/C][C]205.7[/C][C]1.05767723915094[/C][C]1.01763062012942[/C][/ROW]
[ROW][C]21[/C][C]217.9[/C][C]227.287942321939[/C][C]207.825[/C][C]1.09365063068418[/C][C]0.958695818942116[/C][/ROW]
[ROW][C]22[/C][C]229.7[/C][C]235.899685738433[/C][C]208.695833333333[/C][C]1.13035167962194[/C][C]0.973718974151973[/C][/ROW]
[ROW][C]23[/C][C]227.4[/C][C]227.606741997164[/C][C]208.766666666667[/C][C]1.09024465270875[/C][C]0.99909167015287[/C][/ROW]
[ROW][C]24[/C][C]204.2[/C][C]218.134067396386[/C][C]209.654166666667[/C][C]1.04044708895866[/C][C]0.936121544137047[/C][/ROW]
[ROW][C]25[/C][C]196.6[/C][C]201.495110632006[/C][C]210.516666666667[/C][C]0.95714564467741[/C][C]0.975706057498606[/C][/ROW]
[ROW][C]26[/C][C]198.8[/C][C]193.736890137902[/C][C]210.916666666667[/C][C]0.91854708876129[/C][C]1.02613394825577[/C][/ROW]
[ROW][C]27[/C][C]207.5[/C][C]189.068891171829[/C][C]211.570833333333[/C][C]0.893643458283059[/C][C]1.09748356122436[/C][/ROW]
[ROW][C]28[/C][C]190.7[/C][C]192.148708733784[/C][C]212.720833333333[/C][C]0.903290503909825[/C][C]0.992460481554463[/C][/ROW]
[ROW][C]29[/C][C]201.6[/C][C]195.631671697415[/C][C]213.620833333333[/C][C]0.915789291918695[/C][C]1.03050798600656[/C][/ROW]
[ROW][C]30[/C][C]210.5[/C][C]206.131941309130[/C][C]215.841666666667[/C][C]0.95501459237464[/C][C]1.02119059599948[/C][/ROW]
[ROW][C]31[/C][C]223.5[/C][C]230.389264676341[/C][C]220.6375[/C][C]1.04419812895061[/C][C]0.970097284324342[/C][/ROW]
[ROW][C]32[/C][C]223.8[/C][C]240.32189668908[/C][C]227.216666666667[/C][C]1.05767723915094[/C][C]0.931250972480233[/C][/ROW]
[ROW][C]33[/C][C]231.2[/C][C]255.996271377399[/C][C]234.075[/C][C]1.09365063068418[/C][C]0.903138154145834[/C][/ROW]
[ROW][C]34[/C][C]244[/C][C]273.088255997995[/C][C]241.595833333333[/C][C]1.13035167962194[/C][C]0.89348404642414[/C][/ROW]
[ROW][C]35[/C][C]234.7[/C][C]273.183511166443[/C][C]250.570833333333[/C][C]1.09024465270875[/C][C]0.859129451107333[/C][/ROW]
[ROW][C]36[/C][C]250.2[/C][C]270.850053236958[/C][C]260.320833333333[/C][C]1.04044708895866[/C][C]0.923758356366678[/C][/ROW]
[ROW][C]37[/C][C]265.7[/C][C]259.035516304530[/C][C]270.633333333333[/C][C]0.95714564467741[/C][C]1.02572806922598[/C][/ROW]
[ROW][C]38[/C][C]287.6[/C][C]259.443625220626[/C][C]282.45[/C][C]0.91854708876129[/C][C]1.10852598423041[/C][/ROW]
[ROW][C]39[/C][C]283.3[/C][C]264.894538607146[/C][C]296.420833333333[/C][C]0.893643458283059[/C][C]1.06948222296176[/C][/ROW]
[ROW][C]40[/C][C]295.4[/C][C]280.757743456905[/C][C]310.816666666667[/C][C]0.903290503909825[/C][C]1.05215263651434[/C][/ROW]
[ROW][C]41[/C][C]312.3[/C][C]295.998362302988[/C][C]323.216666666667[/C][C]0.915789291918695[/C][C]1.05507340503569[/C][/ROW]
[ROW][C]42[/C][C]333.8[/C][C]316.623150419407[/C][C]331.5375[/C][C]0.95501459237464[/C][C]1.05425013792529[/C][/ROW]
[ROW][C]43[/C][C]347.7[/C][C]348.166111970895[/C][C]333.429166666667[/C][C]1.04419812895061[/C][C]0.998661236820963[/C][/ROW]
[ROW][C]44[/C][C]383.2[/C][C]347.244251590248[/C][C]328.308333333333[/C][C]1.05767723915094[/C][C]1.10354598598850[/C][/ROW]
[ROW][C]45[/C][C]407.1[/C][C]349.020371272344[/C][C]319.133333333333[/C][C]1.09365063068418[/C][C]1.16640756101407[/C][/ROW]
[ROW][C]46[/C][C]413.6[/C][C]348.694653968707[/C][C]308.483333333333[/C][C]1.13035167962194[/C][C]1.18613805887921[/C][/ROW]
[ROW][C]47[/C][C]362.7[/C][C]323.298423702622[/C][C]296.5375[/C][C]1.09024465270875[/C][C]1.12187370370114[/C][/ROW]
[ROW][C]48[/C][C]321.9[/C][C]294.559241276604[/C][C]283.108333333333[/C][C]1.04044708895866[/C][C]1.09281921899616[/C][/ROW]
[ROW][C]49[/C][C]239.4[/C][C]257.472178418223[/C][C]269[/C][C]0.95714564467741[/C][C]0.929809199078326[/C][/ROW]
[ROW][C]50[/C][C]191[/C][C]233.467879006364[/C][C]254.170833333333[/C][C]0.91854708876129[/C][C]0.818099692398342[/C][/ROW]
[ROW][C]51[/C][C]159.7[/C][C]213.517486784689[/C][C]238.929166666667[/C][C]0.893643458283059[/C][C]0.747948106756432[/C][/ROW]
[ROW][C]52[/C][C]163.4[/C][C]201.584330789209[/C][C]223.166666666667[/C][C]0.903290503909825[/C][C]0.810578874658976[/C][/ROW]
[ROW][C]53[/C][C]157.6[/C][C]192.002856628187[/C][C]209.658333333333[/C][C]0.915789291918695[/C][C]0.82082112093359[/C][/ROW]
[ROW][C]54[/C][C]166.2[/C][C]191.400841221751[/C][C]200.416666666667[/C][C]0.95501459237464[/C][C]0.868334741577473[/C][/ROW]
[ROW][C]55[/C][C]176.7[/C][C]NA[/C][C]NA[/C][C]1.04419812895061[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]198.3[/C][C]NA[/C][C]NA[/C][C]1.05767723915094[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]226.2[/C][C]NA[/C][C]NA[/C][C]1.09365063068418[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]216.2[/C][C]NA[/C][C]NA[/C][C]1.13035167962194[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]235.9[/C][C]NA[/C][C]NA[/C][C]1.09024465270875[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]226.9[/C][C]NA[/C][C]NA[/C][C]1.04044708895866[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65016&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65016&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	153.4	NA	NA	0.95714564467741	NA
2	145	NA	NA	0.91854708876129	NA
3	137.7	NA	NA	0.893643458283059	NA
4	148.3	NA	NA	0.903290503909825	NA
5	152.2	NA	NA	0.915789291918695	NA
6	169.4	NA	NA	0.95501459237464	NA
7	168.6	172.597249064462	165.291666666667	1.04419812895061	0.97684059806209
8	161.1	177.381286982606	167.708333333333	1.05767723915094	0.908213051897618
9	174.1	186.722617678812	170.733333333333	1.09365063068418	0.93239909639375
10	179	197.288756282014	174.5375	1.13035167962194	0.90729955104045
11	190.6	194.381536205865	178.291666666667	1.09024465270875	0.980545805534431
12	190	188.503001342085	181.175	1.04044708895866	1.00794151099588
13	181.6	176.413906634605	184.3125	0.95714564467741	1.02939730469286
14	174.8	173.433172196741	188.8125	0.91854708876129	1.00788100561125
15	180.5	172.607233967373	193.15	0.893643458283059	1.04572673955322
16	196.8	178.027267189328	197.0875	0.903290503909825	1.10544863776799
17	193.8	183.829437197813	200.733333333333	0.915789291918695	1.05423811851993
18	197	193.732668518132	202.858333333333	0.95501459237464	1.01686515499353
19	216.3	213.094733165596	204.075	1.04419812895061	1.01504151128838
20	221.4	217.564208093349	205.7	1.05767723915094	1.01763062012942
21	217.9	227.287942321939	207.825	1.09365063068418	0.958695818942116
22	229.7	235.899685738433	208.695833333333	1.13035167962194	0.973718974151973
23	227.4	227.606741997164	208.766666666667	1.09024465270875	0.99909167015287
24	204.2	218.134067396386	209.654166666667	1.04044708895866	0.936121544137047
25	196.6	201.495110632006	210.516666666667	0.95714564467741	0.975706057498606
26	198.8	193.736890137902	210.916666666667	0.91854708876129	1.02613394825577
27	207.5	189.068891171829	211.570833333333	0.893643458283059	1.09748356122436
28	190.7	192.148708733784	212.720833333333	0.903290503909825	0.992460481554463
29	201.6	195.631671697415	213.620833333333	0.915789291918695	1.03050798600656
30	210.5	206.131941309130	215.841666666667	0.95501459237464	1.02119059599948
31	223.5	230.389264676341	220.6375	1.04419812895061	0.970097284324342
32	223.8	240.32189668908	227.216666666667	1.05767723915094	0.931250972480233
33	231.2	255.996271377399	234.075	1.09365063068418	0.903138154145834
34	244	273.088255997995	241.595833333333	1.13035167962194	0.89348404642414
35	234.7	273.183511166443	250.570833333333	1.09024465270875	0.859129451107333
36	250.2	270.850053236958	260.320833333333	1.04044708895866	0.923758356366678
37	265.7	259.035516304530	270.633333333333	0.95714564467741	1.02572806922598
38	287.6	259.443625220626	282.45	0.91854708876129	1.10852598423041
39	283.3	264.894538607146	296.420833333333	0.893643458283059	1.06948222296176
40	295.4	280.757743456905	310.816666666667	0.903290503909825	1.05215263651434
41	312.3	295.998362302988	323.216666666667	0.915789291918695	1.05507340503569
42	333.8	316.623150419407	331.5375	0.95501459237464	1.05425013792529
43	347.7	348.166111970895	333.429166666667	1.04419812895061	0.998661236820963
44	383.2	347.244251590248	328.308333333333	1.05767723915094	1.10354598598850
45	407.1	349.020371272344	319.133333333333	1.09365063068418	1.16640756101407
46	413.6	348.694653968707	308.483333333333	1.13035167962194	1.18613805887921
47	362.7	323.298423702622	296.5375	1.09024465270875	1.12187370370114
48	321.9	294.559241276604	283.108333333333	1.04044708895866	1.09281921899616
49	239.4	257.472178418223	269	0.95714564467741	0.929809199078326
50	191	233.467879006364	254.170833333333	0.91854708876129	0.818099692398342
51	159.7	213.517486784689	238.929166666667	0.893643458283059	0.747948106756432
52	163.4	201.584330789209	223.166666666667	0.903290503909825	0.810578874658976
53	157.6	192.002856628187	209.658333333333	0.915789291918695	0.82082112093359
54	166.2	191.400841221751	200.416666666667	0.95501459237464	0.868334741577473
55	176.7	NA	NA	1.04419812895061	NA
56	198.3	NA	NA	1.05767723915094	NA
57	226.2	NA	NA	1.09365063068418	NA
58	216.2	NA	NA	1.13035167962194	NA
59	235.9	NA	NA	1.09024465270875	NA
60	226.9	NA	NA	1.04044708895866	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