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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Fri, 07 Dec 2012 08:54:14 -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/07/t13548885944gd7is13l084esr.htm/, Retrieved Sat, 27 Apr 2024 03:31:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197373, Retrieved Sat, 27 Apr 2024 03:31:35 +0000

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-       [Classical Decomposition] [] [2012-12-07 13:54:14] [d41d8cd98f00b204e9800998ecf8427e] [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=197373&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=197373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197373&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	155.28	NA	NA	0.980410274515189	NA
2	173.24	NA	NA	0.970517600299158	NA
3	180.16	NA	NA	0.963569710392736	NA
4	181.52	NA	NA	0.985991628835114	NA
5	182.25	NA	NA	0.991228916986892	NA
6	182.19	NA	NA	1.03371973716524	NA
7	182	184.226610698681	179.593333333333	1.02579871579502	0.987913740093051
8	181.65	186.145134044577	180.973333333333	1.0285776949343	0.975851455544893
9	180.07	184.827070707354	181.334583333333	1.01925990789965	0.974262045656253
10	182.62	185.101250576812	182.632916666667	1.01351527399987	0.986595171188307
11	180.38	185.179782349002	185.630833333333	0.997570172065536	0.974080419103441
12	181.15	187.302131033148	189.224583333333	0.989840367111291	0.967153972038583
13	180.5	189.173430501954	192.953333333333	0.980410274515189	0.95415090544724
14	181.14	191.104620674907	196.91	0.970517600299158	0.947857772147445
15	180.93	193.837705253293	201.16625	0.963569710392736	0.933409729358765
16	211.91	202.525967201495	205.403333333333	0.985991628835114	1.04633496103326
17	223.81	207.636438349683	209.47375	0.991228916986892	1.07789365767813
18	226.88	220.54927452289	213.355	1.03371973716524	1.02870435865548
19	226.8	222.722272005678	217.120833333333	1.02579871579502	1.01830857757332
20	231.81	226.928239648722	220.623333333333	1.0285776949343	1.02151235279855
21	232.06	228.151987167514	223.840833333333	1.01925990789965	1.01712898879823
22	232.32	228.625397124644	225.576666666667	1.01351527399987	1.01616007198597
23	228.37	224.749234532458	225.296666666667	0.997570172065536	1.01611024604855
24	226.31	222.051714421049	224.330833333333	0.989840367111291	1.01917699933123
25	225.72	218.85861959715	223.231666666667	0.980410274515189	1.03135074330396
26	219.98	215.376861476056	221.919583333333	0.970517600299158	1.02137248399107
27	219.31	212.551834978637	220.587916666667	0.963569710392736	1.03179537368869
28	215.19	216.428859997916	219.50375	0.985991628835114	0.994275902031145
29	213.81	216.767721735376	218.685833333333	0.991228916986892	0.986355340584394
30	213.7	225.438768879682	218.085	1.03371973716524	0.947929236226682
31	213.6	223.126180250022	217.514583333333	1.02579871579502	0.957305860570248
32	213.52	223.384360915634	217.177916666667	1.0285776949343	0.955841309233999
33	218.39	221.192565454701	217.012916666667	1.01925990789965	0.987329748407504
34	219.97	219.885517078519	216.953333333333	1.01351527399987	1.00038421321515
35	221.09	216.500160517953	217.0275	0.997570172065536	1.02120016664683
36	219.17	217.171388977704	219.400416666667	0.989840367111291	1.00920292047541
37	219.17	219.811660084835	224.20375	0.980410274515189	0.997080864206261
38	218.45	222.686476535642	229.45125	0.970517600299158	0.980975600307889
39	216.88	226.028160353238	234.57375	0.963569710392736	0.959526457504493
40	216.19	235.601467220614	238.94875	0.985991628835114	0.917608886525152
41	214.59	240.549368514135	242.677916666667	0.991228916986892	0.892082990387855
42	269.87	254.540133063669	246.237083333333	1.03371973716524	1.06022573631835
43	272.71	256.378727870913	249.930833333333	1.02579871579502	1.06369979391313
44	280.35	260.852446323814	253.605	1.0285776949343	1.07474552740817
45	274.5	262.356226218484	257.39875	1.01925990789965	1.04628734738471
46	268.86	264.995815030161	261.462083333333	1.01351527399987	1.01458206035971
47	261.7	265.154151735019	265.8	0.997570172065536	0.986973042992473
48	263.98	265.214940929395	267.937083333333	0.989840367111291	0.995343622327356
49	263.01	262.366368050166	267.60875	0.980410274515189	1.00245318008789
50	262.79	258.9919224335	266.859583333333	0.970517600299158	1.01466484950887
51	263.59	256.377394331575	266.070416666667	0.963569710392736	1.02813276766163
52	267	262.071234156384	265.794583333333	0.985991628835114	1.01880697001898
53	267.89	263.850682280205	266.185416666667	0.991228916986892	1.01530910469849
54	267.86	275.887737785803	266.888333333333	1.03371973716524	0.970902158065339
55	266.84	274.471252720747	267.568333333333	1.02579871579502	0.972196531895048
56	268.24	276.116539316639	268.445	1.0285776949343	0.971473859059176
57	267.67	274.697764936636	269.507083333333	1.01925990789965	0.974416373798101
58	269.07	274.084935547785	270.43	1.01351527399987	0.981702987295663
59	270.87	270.583011742248	271.242083333333	0.997570172065536	1.00106062925349
60	271.68	269.377632106585	272.1425	0.989840367111291	1.00854698987221
61	271.63	267.777007252647	273.1275	0.980410274515189	1.01438881099944
62	275.21	266.018065477332	274.099166666667	0.970517600299158	1.03455379808952
63	276.66	264.351736659833	274.34625	0.963569710392736	1.04656017583121
64	276.08	270.031884069691	273.868333333333	0.985991628835114	1.02239778443626
65	278.3	270.776894337651	273.172916666667	0.991228916986892	1.02778341069592
66	279.06	281.406078316036	272.226666666667	1.03371973716524	0.991663014778944
67	279.28	NA	NA	1.02579871579502	NA
68	279.12	NA	NA	1.0285776949343	NA
69	262.72	NA	NA	1.01925990789965	NA
70	262.55	NA	NA	1.01351527399987	NA
71	260.7	NA	NA	0.997570172065536	NA
72	259.14	NA	NA	0.989840367111291	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 155.28 & NA & NA & 0.980410274515189 & NA \tabularnewline
2 & 173.24 & NA & NA & 0.970517600299158 & NA \tabularnewline
3 & 180.16 & NA & NA & 0.963569710392736 & NA \tabularnewline
4 & 181.52 & NA & NA & 0.985991628835114 & NA \tabularnewline
5 & 182.25 & NA & NA & 0.991228916986892 & NA \tabularnewline
6 & 182.19 & NA & NA & 1.03371973716524 & NA \tabularnewline
7 & 182 & 184.226610698681 & 179.593333333333 & 1.02579871579502 & 0.987913740093051 \tabularnewline
8 & 181.65 & 186.145134044577 & 180.973333333333 & 1.0285776949343 & 0.975851455544893 \tabularnewline
9 & 180.07 & 184.827070707354 & 181.334583333333 & 1.01925990789965 & 0.974262045656253 \tabularnewline
10 & 182.62 & 185.101250576812 & 182.632916666667 & 1.01351527399987 & 0.986595171188307 \tabularnewline
11 & 180.38 & 185.179782349002 & 185.630833333333 & 0.997570172065536 & 0.974080419103441 \tabularnewline
12 & 181.15 & 187.302131033148 & 189.224583333333 & 0.989840367111291 & 0.967153972038583 \tabularnewline
13 & 180.5 & 189.173430501954 & 192.953333333333 & 0.980410274515189 & 0.95415090544724 \tabularnewline
14 & 181.14 & 191.104620674907 & 196.91 & 0.970517600299158 & 0.947857772147445 \tabularnewline
15 & 180.93 & 193.837705253293 & 201.16625 & 0.963569710392736 & 0.933409729358765 \tabularnewline
16 & 211.91 & 202.525967201495 & 205.403333333333 & 0.985991628835114 & 1.04633496103326 \tabularnewline
17 & 223.81 & 207.636438349683 & 209.47375 & 0.991228916986892 & 1.07789365767813 \tabularnewline
18 & 226.88 & 220.54927452289 & 213.355 & 1.03371973716524 & 1.02870435865548 \tabularnewline
19 & 226.8 & 222.722272005678 & 217.120833333333 & 1.02579871579502 & 1.01830857757332 \tabularnewline
20 & 231.81 & 226.928239648722 & 220.623333333333 & 1.0285776949343 & 1.02151235279855 \tabularnewline
21 & 232.06 & 228.151987167514 & 223.840833333333 & 1.01925990789965 & 1.01712898879823 \tabularnewline
22 & 232.32 & 228.625397124644 & 225.576666666667 & 1.01351527399987 & 1.01616007198597 \tabularnewline
23 & 228.37 & 224.749234532458 & 225.296666666667 & 0.997570172065536 & 1.01611024604855 \tabularnewline
24 & 226.31 & 222.051714421049 & 224.330833333333 & 0.989840367111291 & 1.01917699933123 \tabularnewline
25 & 225.72 & 218.85861959715 & 223.231666666667 & 0.980410274515189 & 1.03135074330396 \tabularnewline
26 & 219.98 & 215.376861476056 & 221.919583333333 & 0.970517600299158 & 1.02137248399107 \tabularnewline
27 & 219.31 & 212.551834978637 & 220.587916666667 & 0.963569710392736 & 1.03179537368869 \tabularnewline
28 & 215.19 & 216.428859997916 & 219.50375 & 0.985991628835114 & 0.994275902031145 \tabularnewline
29 & 213.81 & 216.767721735376 & 218.685833333333 & 0.991228916986892 & 0.986355340584394 \tabularnewline
30 & 213.7 & 225.438768879682 & 218.085 & 1.03371973716524 & 0.947929236226682 \tabularnewline
31 & 213.6 & 223.126180250022 & 217.514583333333 & 1.02579871579502 & 0.957305860570248 \tabularnewline
32 & 213.52 & 223.384360915634 & 217.177916666667 & 1.0285776949343 & 0.955841309233999 \tabularnewline
33 & 218.39 & 221.192565454701 & 217.012916666667 & 1.01925990789965 & 0.987329748407504 \tabularnewline
34 & 219.97 & 219.885517078519 & 216.953333333333 & 1.01351527399987 & 1.00038421321515 \tabularnewline
35 & 221.09 & 216.500160517953 & 217.0275 & 0.997570172065536 & 1.02120016664683 \tabularnewline
36 & 219.17 & 217.171388977704 & 219.400416666667 & 0.989840367111291 & 1.00920292047541 \tabularnewline
37 & 219.17 & 219.811660084835 & 224.20375 & 0.980410274515189 & 0.997080864206261 \tabularnewline
38 & 218.45 & 222.686476535642 & 229.45125 & 0.970517600299158 & 0.980975600307889 \tabularnewline
39 & 216.88 & 226.028160353238 & 234.57375 & 0.963569710392736 & 0.959526457504493 \tabularnewline
40 & 216.19 & 235.601467220614 & 238.94875 & 0.985991628835114 & 0.917608886525152 \tabularnewline
41 & 214.59 & 240.549368514135 & 242.677916666667 & 0.991228916986892 & 0.892082990387855 \tabularnewline
42 & 269.87 & 254.540133063669 & 246.237083333333 & 1.03371973716524 & 1.06022573631835 \tabularnewline
43 & 272.71 & 256.378727870913 & 249.930833333333 & 1.02579871579502 & 1.06369979391313 \tabularnewline
44 & 280.35 & 260.852446323814 & 253.605 & 1.0285776949343 & 1.07474552740817 \tabularnewline
45 & 274.5 & 262.356226218484 & 257.39875 & 1.01925990789965 & 1.04628734738471 \tabularnewline
46 & 268.86 & 264.995815030161 & 261.462083333333 & 1.01351527399987 & 1.01458206035971 \tabularnewline
47 & 261.7 & 265.154151735019 & 265.8 & 0.997570172065536 & 0.986973042992473 \tabularnewline
48 & 263.98 & 265.214940929395 & 267.937083333333 & 0.989840367111291 & 0.995343622327356 \tabularnewline
49 & 263.01 & 262.366368050166 & 267.60875 & 0.980410274515189 & 1.00245318008789 \tabularnewline
50 & 262.79 & 258.9919224335 & 266.859583333333 & 0.970517600299158 & 1.01466484950887 \tabularnewline
51 & 263.59 & 256.377394331575 & 266.070416666667 & 0.963569710392736 & 1.02813276766163 \tabularnewline
52 & 267 & 262.071234156384 & 265.794583333333 & 0.985991628835114 & 1.01880697001898 \tabularnewline
53 & 267.89 & 263.850682280205 & 266.185416666667 & 0.991228916986892 & 1.01530910469849 \tabularnewline
54 & 267.86 & 275.887737785803 & 266.888333333333 & 1.03371973716524 & 0.970902158065339 \tabularnewline
55 & 266.84 & 274.471252720747 & 267.568333333333 & 1.02579871579502 & 0.972196531895048 \tabularnewline
56 & 268.24 & 276.116539316639 & 268.445 & 1.0285776949343 & 0.971473859059176 \tabularnewline
57 & 267.67 & 274.697764936636 & 269.507083333333 & 1.01925990789965 & 0.974416373798101 \tabularnewline
58 & 269.07 & 274.084935547785 & 270.43 & 1.01351527399987 & 0.981702987295663 \tabularnewline
59 & 270.87 & 270.583011742248 & 271.242083333333 & 0.997570172065536 & 1.00106062925349 \tabularnewline
60 & 271.68 & 269.377632106585 & 272.1425 & 0.989840367111291 & 1.00854698987221 \tabularnewline
61 & 271.63 & 267.777007252647 & 273.1275 & 0.980410274515189 & 1.01438881099944 \tabularnewline
62 & 275.21 & 266.018065477332 & 274.099166666667 & 0.970517600299158 & 1.03455379808952 \tabularnewline
63 & 276.66 & 264.351736659833 & 274.34625 & 0.963569710392736 & 1.04656017583121 \tabularnewline
64 & 276.08 & 270.031884069691 & 273.868333333333 & 0.985991628835114 & 1.02239778443626 \tabularnewline
65 & 278.3 & 270.776894337651 & 273.172916666667 & 0.991228916986892 & 1.02778341069592 \tabularnewline
66 & 279.06 & 281.406078316036 & 272.226666666667 & 1.03371973716524 & 0.991663014778944 \tabularnewline
67 & 279.28 & NA & NA & 1.02579871579502 & NA \tabularnewline
68 & 279.12 & NA & NA & 1.0285776949343 & NA \tabularnewline
69 & 262.72 & NA & NA & 1.01925990789965 & NA \tabularnewline
70 & 262.55 & NA & NA & 1.01351527399987 & NA \tabularnewline
71 & 260.7 & NA & NA & 0.997570172065536 & NA \tabularnewline
72 & 259.14 & NA & NA & 0.989840367111291 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197373&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]155.28[/C][C]NA[/C][C]NA[/C][C]0.980410274515189[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]173.24[/C][C]NA[/C][C]NA[/C][C]0.970517600299158[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]180.16[/C][C]NA[/C][C]NA[/C][C]0.963569710392736[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]181.52[/C][C]NA[/C][C]NA[/C][C]0.985991628835114[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]182.25[/C][C]NA[/C][C]NA[/C][C]0.991228916986892[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]182.19[/C][C]NA[/C][C]NA[/C][C]1.03371973716524[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]182[/C][C]184.226610698681[/C][C]179.593333333333[/C][C]1.02579871579502[/C][C]0.987913740093051[/C][/ROW]
[ROW][C]8[/C][C]181.65[/C][C]186.145134044577[/C][C]180.973333333333[/C][C]1.0285776949343[/C][C]0.975851455544893[/C][/ROW]
[ROW][C]9[/C][C]180.07[/C][C]184.827070707354[/C][C]181.334583333333[/C][C]1.01925990789965[/C][C]0.974262045656253[/C][/ROW]
[ROW][C]10[/C][C]182.62[/C][C]185.101250576812[/C][C]182.632916666667[/C][C]1.01351527399987[/C][C]0.986595171188307[/C][/ROW]
[ROW][C]11[/C][C]180.38[/C][C]185.179782349002[/C][C]185.630833333333[/C][C]0.997570172065536[/C][C]0.974080419103441[/C][/ROW]
[ROW][C]12[/C][C]181.15[/C][C]187.302131033148[/C][C]189.224583333333[/C][C]0.989840367111291[/C][C]0.967153972038583[/C][/ROW]
[ROW][C]13[/C][C]180.5[/C][C]189.173430501954[/C][C]192.953333333333[/C][C]0.980410274515189[/C][C]0.95415090544724[/C][/ROW]
[ROW][C]14[/C][C]181.14[/C][C]191.104620674907[/C][C]196.91[/C][C]0.970517600299158[/C][C]0.947857772147445[/C][/ROW]
[ROW][C]15[/C][C]180.93[/C][C]193.837705253293[/C][C]201.16625[/C][C]0.963569710392736[/C][C]0.933409729358765[/C][/ROW]
[ROW][C]16[/C][C]211.91[/C][C]202.525967201495[/C][C]205.403333333333[/C][C]0.985991628835114[/C][C]1.04633496103326[/C][/ROW]
[ROW][C]17[/C][C]223.81[/C][C]207.636438349683[/C][C]209.47375[/C][C]0.991228916986892[/C][C]1.07789365767813[/C][/ROW]
[ROW][C]18[/C][C]226.88[/C][C]220.54927452289[/C][C]213.355[/C][C]1.03371973716524[/C][C]1.02870435865548[/C][/ROW]
[ROW][C]19[/C][C]226.8[/C][C]222.722272005678[/C][C]217.120833333333[/C][C]1.02579871579502[/C][C]1.01830857757332[/C][/ROW]
[ROW][C]20[/C][C]231.81[/C][C]226.928239648722[/C][C]220.623333333333[/C][C]1.0285776949343[/C][C]1.02151235279855[/C][/ROW]
[ROW][C]21[/C][C]232.06[/C][C]228.151987167514[/C][C]223.840833333333[/C][C]1.01925990789965[/C][C]1.01712898879823[/C][/ROW]
[ROW][C]22[/C][C]232.32[/C][C]228.625397124644[/C][C]225.576666666667[/C][C]1.01351527399987[/C][C]1.01616007198597[/C][/ROW]
[ROW][C]23[/C][C]228.37[/C][C]224.749234532458[/C][C]225.296666666667[/C][C]0.997570172065536[/C][C]1.01611024604855[/C][/ROW]
[ROW][C]24[/C][C]226.31[/C][C]222.051714421049[/C][C]224.330833333333[/C][C]0.989840367111291[/C][C]1.01917699933123[/C][/ROW]
[ROW][C]25[/C][C]225.72[/C][C]218.85861959715[/C][C]223.231666666667[/C][C]0.980410274515189[/C][C]1.03135074330396[/C][/ROW]
[ROW][C]26[/C][C]219.98[/C][C]215.376861476056[/C][C]221.919583333333[/C][C]0.970517600299158[/C][C]1.02137248399107[/C][/ROW]
[ROW][C]27[/C][C]219.31[/C][C]212.551834978637[/C][C]220.587916666667[/C][C]0.963569710392736[/C][C]1.03179537368869[/C][/ROW]
[ROW][C]28[/C][C]215.19[/C][C]216.428859997916[/C][C]219.50375[/C][C]0.985991628835114[/C][C]0.994275902031145[/C][/ROW]
[ROW][C]29[/C][C]213.81[/C][C]216.767721735376[/C][C]218.685833333333[/C][C]0.991228916986892[/C][C]0.986355340584394[/C][/ROW]
[ROW][C]30[/C][C]213.7[/C][C]225.438768879682[/C][C]218.085[/C][C]1.03371973716524[/C][C]0.947929236226682[/C][/ROW]
[ROW][C]31[/C][C]213.6[/C][C]223.126180250022[/C][C]217.514583333333[/C][C]1.02579871579502[/C][C]0.957305860570248[/C][/ROW]
[ROW][C]32[/C][C]213.52[/C][C]223.384360915634[/C][C]217.177916666667[/C][C]1.0285776949343[/C][C]0.955841309233999[/C][/ROW]
[ROW][C]33[/C][C]218.39[/C][C]221.192565454701[/C][C]217.012916666667[/C][C]1.01925990789965[/C][C]0.987329748407504[/C][/ROW]
[ROW][C]34[/C][C]219.97[/C][C]219.885517078519[/C][C]216.953333333333[/C][C]1.01351527399987[/C][C]1.00038421321515[/C][/ROW]
[ROW][C]35[/C][C]221.09[/C][C]216.500160517953[/C][C]217.0275[/C][C]0.997570172065536[/C][C]1.02120016664683[/C][/ROW]
[ROW][C]36[/C][C]219.17[/C][C]217.171388977704[/C][C]219.400416666667[/C][C]0.989840367111291[/C][C]1.00920292047541[/C][/ROW]
[ROW][C]37[/C][C]219.17[/C][C]219.811660084835[/C][C]224.20375[/C][C]0.980410274515189[/C][C]0.997080864206261[/C][/ROW]
[ROW][C]38[/C][C]218.45[/C][C]222.686476535642[/C][C]229.45125[/C][C]0.970517600299158[/C][C]0.980975600307889[/C][/ROW]
[ROW][C]39[/C][C]216.88[/C][C]226.028160353238[/C][C]234.57375[/C][C]0.963569710392736[/C][C]0.959526457504493[/C][/ROW]
[ROW][C]40[/C][C]216.19[/C][C]235.601467220614[/C][C]238.94875[/C][C]0.985991628835114[/C][C]0.917608886525152[/C][/ROW]
[ROW][C]41[/C][C]214.59[/C][C]240.549368514135[/C][C]242.677916666667[/C][C]0.991228916986892[/C][C]0.892082990387855[/C][/ROW]
[ROW][C]42[/C][C]269.87[/C][C]254.540133063669[/C][C]246.237083333333[/C][C]1.03371973716524[/C][C]1.06022573631835[/C][/ROW]
[ROW][C]43[/C][C]272.71[/C][C]256.378727870913[/C][C]249.930833333333[/C][C]1.02579871579502[/C][C]1.06369979391313[/C][/ROW]
[ROW][C]44[/C][C]280.35[/C][C]260.852446323814[/C][C]253.605[/C][C]1.0285776949343[/C][C]1.07474552740817[/C][/ROW]
[ROW][C]45[/C][C]274.5[/C][C]262.356226218484[/C][C]257.39875[/C][C]1.01925990789965[/C][C]1.04628734738471[/C][/ROW]
[ROW][C]46[/C][C]268.86[/C][C]264.995815030161[/C][C]261.462083333333[/C][C]1.01351527399987[/C][C]1.01458206035971[/C][/ROW]
[ROW][C]47[/C][C]261.7[/C][C]265.154151735019[/C][C]265.8[/C][C]0.997570172065536[/C][C]0.986973042992473[/C][/ROW]
[ROW][C]48[/C][C]263.98[/C][C]265.214940929395[/C][C]267.937083333333[/C][C]0.989840367111291[/C][C]0.995343622327356[/C][/ROW]
[ROW][C]49[/C][C]263.01[/C][C]262.366368050166[/C][C]267.60875[/C][C]0.980410274515189[/C][C]1.00245318008789[/C][/ROW]
[ROW][C]50[/C][C]262.79[/C][C]258.9919224335[/C][C]266.859583333333[/C][C]0.970517600299158[/C][C]1.01466484950887[/C][/ROW]
[ROW][C]51[/C][C]263.59[/C][C]256.377394331575[/C][C]266.070416666667[/C][C]0.963569710392736[/C][C]1.02813276766163[/C][/ROW]
[ROW][C]52[/C][C]267[/C][C]262.071234156384[/C][C]265.794583333333[/C][C]0.985991628835114[/C][C]1.01880697001898[/C][/ROW]
[ROW][C]53[/C][C]267.89[/C][C]263.850682280205[/C][C]266.185416666667[/C][C]0.991228916986892[/C][C]1.01530910469849[/C][/ROW]
[ROW][C]54[/C][C]267.86[/C][C]275.887737785803[/C][C]266.888333333333[/C][C]1.03371973716524[/C][C]0.970902158065339[/C][/ROW]
[ROW][C]55[/C][C]266.84[/C][C]274.471252720747[/C][C]267.568333333333[/C][C]1.02579871579502[/C][C]0.972196531895048[/C][/ROW]
[ROW][C]56[/C][C]268.24[/C][C]276.116539316639[/C][C]268.445[/C][C]1.0285776949343[/C][C]0.971473859059176[/C][/ROW]
[ROW][C]57[/C][C]267.67[/C][C]274.697764936636[/C][C]269.507083333333[/C][C]1.01925990789965[/C][C]0.974416373798101[/C][/ROW]
[ROW][C]58[/C][C]269.07[/C][C]274.084935547785[/C][C]270.43[/C][C]1.01351527399987[/C][C]0.981702987295663[/C][/ROW]
[ROW][C]59[/C][C]270.87[/C][C]270.583011742248[/C][C]271.242083333333[/C][C]0.997570172065536[/C][C]1.00106062925349[/C][/ROW]
[ROW][C]60[/C][C]271.68[/C][C]269.377632106585[/C][C]272.1425[/C][C]0.989840367111291[/C][C]1.00854698987221[/C][/ROW]
[ROW][C]61[/C][C]271.63[/C][C]267.777007252647[/C][C]273.1275[/C][C]0.980410274515189[/C][C]1.01438881099944[/C][/ROW]
[ROW][C]62[/C][C]275.21[/C][C]266.018065477332[/C][C]274.099166666667[/C][C]0.970517600299158[/C][C]1.03455379808952[/C][/ROW]
[ROW][C]63[/C][C]276.66[/C][C]264.351736659833[/C][C]274.34625[/C][C]0.963569710392736[/C][C]1.04656017583121[/C][/ROW]
[ROW][C]64[/C][C]276.08[/C][C]270.031884069691[/C][C]273.868333333333[/C][C]0.985991628835114[/C][C]1.02239778443626[/C][/ROW]
[ROW][C]65[/C][C]278.3[/C][C]270.776894337651[/C][C]273.172916666667[/C][C]0.991228916986892[/C][C]1.02778341069592[/C][/ROW]
[ROW][C]66[/C][C]279.06[/C][C]281.406078316036[/C][C]272.226666666667[/C][C]1.03371973716524[/C][C]0.991663014778944[/C][/ROW]
[ROW][C]67[/C][C]279.28[/C][C]NA[/C][C]NA[/C][C]1.02579871579502[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]279.12[/C][C]NA[/C][C]NA[/C][C]1.0285776949343[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]262.72[/C][C]NA[/C][C]NA[/C][C]1.01925990789965[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]262.55[/C][C]NA[/C][C]NA[/C][C]1.01351527399987[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]260.7[/C][C]NA[/C][C]NA[/C][C]0.997570172065536[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]259.14[/C][C]NA[/C][C]NA[/C][C]0.989840367111291[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197373&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	155.28	NA	NA	0.980410274515189	NA
2	173.24	NA	NA	0.970517600299158	NA
3	180.16	NA	NA	0.963569710392736	NA
4	181.52	NA	NA	0.985991628835114	NA
5	182.25	NA	NA	0.991228916986892	NA
6	182.19	NA	NA	1.03371973716524	NA
7	182	184.226610698681	179.593333333333	1.02579871579502	0.987913740093051
8	181.65	186.145134044577	180.973333333333	1.0285776949343	0.975851455544893
9	180.07	184.827070707354	181.334583333333	1.01925990789965	0.974262045656253
10	182.62	185.101250576812	182.632916666667	1.01351527399987	0.986595171188307
11	180.38	185.179782349002	185.630833333333	0.997570172065536	0.974080419103441
12	181.15	187.302131033148	189.224583333333	0.989840367111291	0.967153972038583
13	180.5	189.173430501954	192.953333333333	0.980410274515189	0.95415090544724
14	181.14	191.104620674907	196.91	0.970517600299158	0.947857772147445
15	180.93	193.837705253293	201.16625	0.963569710392736	0.933409729358765
16	211.91	202.525967201495	205.403333333333	0.985991628835114	1.04633496103326
17	223.81	207.636438349683	209.47375	0.991228916986892	1.07789365767813
18	226.88	220.54927452289	213.355	1.03371973716524	1.02870435865548
19	226.8	222.722272005678	217.120833333333	1.02579871579502	1.01830857757332
20	231.81	226.928239648722	220.623333333333	1.0285776949343	1.02151235279855
21	232.06	228.151987167514	223.840833333333	1.01925990789965	1.01712898879823
22	232.32	228.625397124644	225.576666666667	1.01351527399987	1.01616007198597
23	228.37	224.749234532458	225.296666666667	0.997570172065536	1.01611024604855
24	226.31	222.051714421049	224.330833333333	0.989840367111291	1.01917699933123
25	225.72	218.85861959715	223.231666666667	0.980410274515189	1.03135074330396
26	219.98	215.376861476056	221.919583333333	0.970517600299158	1.02137248399107
27	219.31	212.551834978637	220.587916666667	0.963569710392736	1.03179537368869
28	215.19	216.428859997916	219.50375	0.985991628835114	0.994275902031145
29	213.81	216.767721735376	218.685833333333	0.991228916986892	0.986355340584394
30	213.7	225.438768879682	218.085	1.03371973716524	0.947929236226682
31	213.6	223.126180250022	217.514583333333	1.02579871579502	0.957305860570248
32	213.52	223.384360915634	217.177916666667	1.0285776949343	0.955841309233999
33	218.39	221.192565454701	217.012916666667	1.01925990789965	0.987329748407504
34	219.97	219.885517078519	216.953333333333	1.01351527399987	1.00038421321515
35	221.09	216.500160517953	217.0275	0.997570172065536	1.02120016664683
36	219.17	217.171388977704	219.400416666667	0.989840367111291	1.00920292047541
37	219.17	219.811660084835	224.20375	0.980410274515189	0.997080864206261
38	218.45	222.686476535642	229.45125	0.970517600299158	0.980975600307889
39	216.88	226.028160353238	234.57375	0.963569710392736	0.959526457504493
40	216.19	235.601467220614	238.94875	0.985991628835114	0.917608886525152
41	214.59	240.549368514135	242.677916666667	0.991228916986892	0.892082990387855
42	269.87	254.540133063669	246.237083333333	1.03371973716524	1.06022573631835
43	272.71	256.378727870913	249.930833333333	1.02579871579502	1.06369979391313
44	280.35	260.852446323814	253.605	1.0285776949343	1.07474552740817
45	274.5	262.356226218484	257.39875	1.01925990789965	1.04628734738471
46	268.86	264.995815030161	261.462083333333	1.01351527399987	1.01458206035971
47	261.7	265.154151735019	265.8	0.997570172065536	0.986973042992473
48	263.98	265.214940929395	267.937083333333	0.989840367111291	0.995343622327356
49	263.01	262.366368050166	267.60875	0.980410274515189	1.00245318008789
50	262.79	258.9919224335	266.859583333333	0.970517600299158	1.01466484950887
51	263.59	256.377394331575	266.070416666667	0.963569710392736	1.02813276766163
52	267	262.071234156384	265.794583333333	0.985991628835114	1.01880697001898
53	267.89	263.850682280205	266.185416666667	0.991228916986892	1.01530910469849
54	267.86	275.887737785803	266.888333333333	1.03371973716524	0.970902158065339
55	266.84	274.471252720747	267.568333333333	1.02579871579502	0.972196531895048
56	268.24	276.116539316639	268.445	1.0285776949343	0.971473859059176
57	267.67	274.697764936636	269.507083333333	1.01925990789965	0.974416373798101
58	269.07	274.084935547785	270.43	1.01351527399987	0.981702987295663
59	270.87	270.583011742248	271.242083333333	0.997570172065536	1.00106062925349
60	271.68	269.377632106585	272.1425	0.989840367111291	1.00854698987221
61	271.63	267.777007252647	273.1275	0.980410274515189	1.01438881099944
62	275.21	266.018065477332	274.099166666667	0.970517600299158	1.03455379808952
63	276.66	264.351736659833	274.34625	0.963569710392736	1.04656017583121
64	276.08	270.031884069691	273.868333333333	0.985991628835114	1.02239778443626
65	278.3	270.776894337651	273.172916666667	0.991228916986892	1.02778341069592
66	279.06	281.406078316036	272.226666666667	1.03371973716524	0.991663014778944
67	279.28	NA	NA	1.02579871579502	NA
68	279.12	NA	NA	1.0285776949343	NA
69	262.72	NA	NA	1.01925990789965	NA
70	262.55	NA	NA	1.01351527399987	NA
71	260.7	NA	NA	0.997570172065536	NA
72	259.14	NA	NA	0.989840367111291	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