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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 27 Jan 2009 02:04:17 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/27/t1233047141ge0yrh4nddwcfuc.htm/, Retrieved Mon, 06 May 2024 04:28:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36983, Retrieved Mon, 06 May 2024 04:28:39 +0000

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Estimated Impact

198

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

-       [Classical Decomposition] [Opgave9 oefening2...] [2009-01-27 09:04:17] [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	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36983&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]1 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=36983&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36983&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	18.33	NA	NA	1.00891944752635	NA
2	18.22	NA	NA	1.0149381042117	NA
3	18.21	NA	NA	1.00426649968519	NA
4	18.06	NA	NA	1.00220688231699	NA
5	18.26	NA	NA	0.991000121945	NA
6	18.21	NA	NA	0.99095451053294	NA
7	18.05	18.1553808109833	18.1770833333333	0.99880605034636	0.994195615499315
8	18.25	18.1401635985745	18.15375	0.999251592567625	1.00605487380688
9	18.27	18.0425556994116	18.1370833333333	0.9947881568285	1.01260599132283
10	18.28	18.0907984739699	18.1316666666667	0.997746032207181	1.01045843975888
11	18.13	18.1558012247889	18.13125	1.00135408340787	0.998578899137008
12	18.01	18.0470596857924	18.12375	0.995768518424301	0.997946497299967
13	18.02	18.2866649864151	18.125	1.00891944752635	0.985417516719798
14	17.97	18.3999820476046	18.1291666666667	1.0149381042117	0.976631387656132
15	18.06	18.2031671955439	18.1258333333333	1.00426649968519	0.992135039248613
16	18.08	18.1679228454021	18.1279166666667	1.00220688231699	0.995160544980828
17	18.23	17.9688967944502	18.1320833333333	0.991000121945	1.01453084229581
18	18.06	17.9816953890457	18.1458333333333	0.99095451053294	1.00435468454226
19	18.23	18.148722103981	18.1704166666667	0.99880605034636	1.00447843630826
20	18.17	18.1838808557494	18.1975	0.999251592567625	0.99923663953479
21	18.27	18.1325011285915	18.2275	0.9947881568285	1.00758300636153
22	18.33	18.2250784608044	18.26625	0.997746032207181	1.00575698696833
23	18.18	18.3197729559469	18.295	1.00135408340787	0.992370377281257
24	18.29	18.2453835823786	18.3229166666667	0.995768518424301	1.00244535377510
25	18.33	18.5292260369245	18.3654166666667	1.00891944752635	0.989248010870637
26	18.31	18.6850104985374	18.41	1.0149381042117	0.979929874881968
27	18.44	18.5379226954389	18.4591666666667	1.00426649968519	0.994717709365406
28	18.63	18.5458383572758	18.505	1.00220688231699	1.00453803387600
29	18.37	18.3884201794069	18.5554166666667	0.991000121945	0.998998272868075
30	18.59	18.4371215661781	18.6054166666667	0.99095451053294	1.00829188185765
31	18.72	18.6427149297148	18.665	0.99880605034636	1.00414559094942
32	18.75	18.7268075543778	18.7408333333333	0.999251592567625	1.00123846232493
33	18.87	18.7206696263163	18.81875	0.9947881568285	1.00797676454232
34	18.83	18.8478382759071	18.8904166666667	0.997746032207181	0.999053563828066
35	18.89	18.9890112683578	18.9633333333333	1.00135408340787	0.994785864995361
36	18.78	18.945325870121	19.0258333333333	0.995768518424301	0.991273527240735
37	19.27	19.2405142474306	19.0704166666667	1.00891944752635	1.00153248256207
38	19.19	19.3988502984996	19.1133333333333	1.0149381042117	0.989233882663873
39	19.43	19.2212423595997	19.1395833333333	1.00426649968519	1.01086077770077
40	19.36	19.1989431755857	19.1566666666667	1.00220688231699	1.00838883801787
41	19.39	19.0181181735595	19.1908333333333	0.991000121945	1.01955408116864
42	19.07	19.0614229078138	19.2354166666667	0.99095451053294	1.00044997124442
43	19.31	19.2524027896137	19.2754166666667	0.99880605034636	1.00299168945381
44	19.19	19.3296893485602	19.3441666666667	0.999251592567625	0.99277332676996
45	19.06	19.2988902424729	19.4	0.9947881568285	0.987621555463995
46	19.05	19.3625089375206	19.40625	0.997746032207181	0.983860101057718
47	19.49	19.4129178303338	19.3866666666667	1.00135408340787	1.00397066377862
48	19.25	19.2822275521879	19.3641666666667	0.995768518424301	0.998328639567152
49	19.76	19.5314193548007	19.35875	1.00891944752635	1.01170322755592
50	20.35	19.6559679515666	19.3666666666667	1.0149381042117	1.03530897334304
51	19.61	19.4555712095263	19.3729166666667	1.00426649968519	1.00793750997134
52	19.33	19.4261100689109	19.3833333333333	1.00220688231699	0.995052531434756
53	18.95	19.2278798660379	19.4025	0.991000121945	0.985548075608238
54	18.97	19.2443365945497	19.42	0.99095451053294	0.985744554341904
55	19.28	19.4126279268568	19.4358333333333	0.99880605034636	0.993167956066716
56	19.41	19.4162911532494	19.4308333333333	0.999251592567625	0.999675985840974
57	18.99	19.314641054956	19.4158333333333	0.9947881568285	0.983191970586856
58	19.37	19.3729021253561	19.4166666666667	0.997746032207181	0.99985019666453
59	19.63	19.4496341467254	19.4233333333333	1.00135408340787	1.00927348308528
60	19.53	19.3560803839710	19.4383333333333	0.995768518424301	1.00898527039457
61	19.86	19.6424004940286	19.46875	1.00891944752635	1.01107805056910
62	20.13	19.7764918514417	19.4854166666667	1.0149381042117	1.01787516973252
63	19.47	19.6007714076058	19.5175	1.00426649968519	0.993328251991397
64	19.49	19.5714300668469	19.5283333333333	1.00220688231699	0.995839339968069
65	18.95	19.3298702952547	19.5054166666667	0.991000121945	0.98034801633677
66	19.33	19.3273290348068	19.50375	0.99095451053294	1.00013819629129
67	19.65	NA	NA	0.99880605034636	NA
68	19.44	NA	NA	0.999251592567625	NA
69	19.73	NA	NA	0.9947881568285	NA
70	18.89	NA	NA	0.997746032207181	NA
71	19.56	NA	NA	1.00135408340787	NA
72	19.56	NA	NA	0.995768518424301	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 18.33 & NA & NA & 1.00891944752635 & NA \tabularnewline
2 & 18.22 & NA & NA & 1.0149381042117 & NA \tabularnewline
3 & 18.21 & NA & NA & 1.00426649968519 & NA \tabularnewline
4 & 18.06 & NA & NA & 1.00220688231699 & NA \tabularnewline
5 & 18.26 & NA & NA & 0.991000121945 & NA \tabularnewline
6 & 18.21 & NA & NA & 0.99095451053294 & NA \tabularnewline
7 & 18.05 & 18.1553808109833 & 18.1770833333333 & 0.99880605034636 & 0.994195615499315 \tabularnewline
8 & 18.25 & 18.1401635985745 & 18.15375 & 0.999251592567625 & 1.00605487380688 \tabularnewline
9 & 18.27 & 18.0425556994116 & 18.1370833333333 & 0.9947881568285 & 1.01260599132283 \tabularnewline
10 & 18.28 & 18.0907984739699 & 18.1316666666667 & 0.997746032207181 & 1.01045843975888 \tabularnewline
11 & 18.13 & 18.1558012247889 & 18.13125 & 1.00135408340787 & 0.998578899137008 \tabularnewline
12 & 18.01 & 18.0470596857924 & 18.12375 & 0.995768518424301 & 0.997946497299967 \tabularnewline
13 & 18.02 & 18.2866649864151 & 18.125 & 1.00891944752635 & 0.985417516719798 \tabularnewline
14 & 17.97 & 18.3999820476046 & 18.1291666666667 & 1.0149381042117 & 0.976631387656132 \tabularnewline
15 & 18.06 & 18.2031671955439 & 18.1258333333333 & 1.00426649968519 & 0.992135039248613 \tabularnewline
16 & 18.08 & 18.1679228454021 & 18.1279166666667 & 1.00220688231699 & 0.995160544980828 \tabularnewline
17 & 18.23 & 17.9688967944502 & 18.1320833333333 & 0.991000121945 & 1.01453084229581 \tabularnewline
18 & 18.06 & 17.9816953890457 & 18.1458333333333 & 0.99095451053294 & 1.00435468454226 \tabularnewline
19 & 18.23 & 18.148722103981 & 18.1704166666667 & 0.99880605034636 & 1.00447843630826 \tabularnewline
20 & 18.17 & 18.1838808557494 & 18.1975 & 0.999251592567625 & 0.99923663953479 \tabularnewline
21 & 18.27 & 18.1325011285915 & 18.2275 & 0.9947881568285 & 1.00758300636153 \tabularnewline
22 & 18.33 & 18.2250784608044 & 18.26625 & 0.997746032207181 & 1.00575698696833 \tabularnewline
23 & 18.18 & 18.3197729559469 & 18.295 & 1.00135408340787 & 0.992370377281257 \tabularnewline
24 & 18.29 & 18.2453835823786 & 18.3229166666667 & 0.995768518424301 & 1.00244535377510 \tabularnewline
25 & 18.33 & 18.5292260369245 & 18.3654166666667 & 1.00891944752635 & 0.989248010870637 \tabularnewline
26 & 18.31 & 18.6850104985374 & 18.41 & 1.0149381042117 & 0.979929874881968 \tabularnewline
27 & 18.44 & 18.5379226954389 & 18.4591666666667 & 1.00426649968519 & 0.994717709365406 \tabularnewline
28 & 18.63 & 18.5458383572758 & 18.505 & 1.00220688231699 & 1.00453803387600 \tabularnewline
29 & 18.37 & 18.3884201794069 & 18.5554166666667 & 0.991000121945 & 0.998998272868075 \tabularnewline
30 & 18.59 & 18.4371215661781 & 18.6054166666667 & 0.99095451053294 & 1.00829188185765 \tabularnewline
31 & 18.72 & 18.6427149297148 & 18.665 & 0.99880605034636 & 1.00414559094942 \tabularnewline
32 & 18.75 & 18.7268075543778 & 18.7408333333333 & 0.999251592567625 & 1.00123846232493 \tabularnewline
33 & 18.87 & 18.7206696263163 & 18.81875 & 0.9947881568285 & 1.00797676454232 \tabularnewline
34 & 18.83 & 18.8478382759071 & 18.8904166666667 & 0.997746032207181 & 0.999053563828066 \tabularnewline
35 & 18.89 & 18.9890112683578 & 18.9633333333333 & 1.00135408340787 & 0.994785864995361 \tabularnewline
36 & 18.78 & 18.945325870121 & 19.0258333333333 & 0.995768518424301 & 0.991273527240735 \tabularnewline
37 & 19.27 & 19.2405142474306 & 19.0704166666667 & 1.00891944752635 & 1.00153248256207 \tabularnewline
38 & 19.19 & 19.3988502984996 & 19.1133333333333 & 1.0149381042117 & 0.989233882663873 \tabularnewline
39 & 19.43 & 19.2212423595997 & 19.1395833333333 & 1.00426649968519 & 1.01086077770077 \tabularnewline
40 & 19.36 & 19.1989431755857 & 19.1566666666667 & 1.00220688231699 & 1.00838883801787 \tabularnewline
41 & 19.39 & 19.0181181735595 & 19.1908333333333 & 0.991000121945 & 1.01955408116864 \tabularnewline
42 & 19.07 & 19.0614229078138 & 19.2354166666667 & 0.99095451053294 & 1.00044997124442 \tabularnewline
43 & 19.31 & 19.2524027896137 & 19.2754166666667 & 0.99880605034636 & 1.00299168945381 \tabularnewline
44 & 19.19 & 19.3296893485602 & 19.3441666666667 & 0.999251592567625 & 0.99277332676996 \tabularnewline
45 & 19.06 & 19.2988902424729 & 19.4 & 0.9947881568285 & 0.987621555463995 \tabularnewline
46 & 19.05 & 19.3625089375206 & 19.40625 & 0.997746032207181 & 0.983860101057718 \tabularnewline
47 & 19.49 & 19.4129178303338 & 19.3866666666667 & 1.00135408340787 & 1.00397066377862 \tabularnewline
48 & 19.25 & 19.2822275521879 & 19.3641666666667 & 0.995768518424301 & 0.998328639567152 \tabularnewline
49 & 19.76 & 19.5314193548007 & 19.35875 & 1.00891944752635 & 1.01170322755592 \tabularnewline
50 & 20.35 & 19.6559679515666 & 19.3666666666667 & 1.0149381042117 & 1.03530897334304 \tabularnewline
51 & 19.61 & 19.4555712095263 & 19.3729166666667 & 1.00426649968519 & 1.00793750997134 \tabularnewline
52 & 19.33 & 19.4261100689109 & 19.3833333333333 & 1.00220688231699 & 0.995052531434756 \tabularnewline
53 & 18.95 & 19.2278798660379 & 19.4025 & 0.991000121945 & 0.985548075608238 \tabularnewline
54 & 18.97 & 19.2443365945497 & 19.42 & 0.99095451053294 & 0.985744554341904 \tabularnewline
55 & 19.28 & 19.4126279268568 & 19.4358333333333 & 0.99880605034636 & 0.993167956066716 \tabularnewline
56 & 19.41 & 19.4162911532494 & 19.4308333333333 & 0.999251592567625 & 0.999675985840974 \tabularnewline
57 & 18.99 & 19.314641054956 & 19.4158333333333 & 0.9947881568285 & 0.983191970586856 \tabularnewline
58 & 19.37 & 19.3729021253561 & 19.4166666666667 & 0.997746032207181 & 0.99985019666453 \tabularnewline
59 & 19.63 & 19.4496341467254 & 19.4233333333333 & 1.00135408340787 & 1.00927348308528 \tabularnewline
60 & 19.53 & 19.3560803839710 & 19.4383333333333 & 0.995768518424301 & 1.00898527039457 \tabularnewline
61 & 19.86 & 19.6424004940286 & 19.46875 & 1.00891944752635 & 1.01107805056910 \tabularnewline
62 & 20.13 & 19.7764918514417 & 19.4854166666667 & 1.0149381042117 & 1.01787516973252 \tabularnewline
63 & 19.47 & 19.6007714076058 & 19.5175 & 1.00426649968519 & 0.993328251991397 \tabularnewline
64 & 19.49 & 19.5714300668469 & 19.5283333333333 & 1.00220688231699 & 0.995839339968069 \tabularnewline
65 & 18.95 & 19.3298702952547 & 19.5054166666667 & 0.991000121945 & 0.98034801633677 \tabularnewline
66 & 19.33 & 19.3273290348068 & 19.50375 & 0.99095451053294 & 1.00013819629129 \tabularnewline
67 & 19.65 & NA & NA & 0.99880605034636 & NA \tabularnewline
68 & 19.44 & NA & NA & 0.999251592567625 & NA \tabularnewline
69 & 19.73 & NA & NA & 0.9947881568285 & NA \tabularnewline
70 & 18.89 & NA & NA & 0.997746032207181 & NA \tabularnewline
71 & 19.56 & NA & NA & 1.00135408340787 & NA \tabularnewline
72 & 19.56 & NA & NA & 0.995768518424301 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36983&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]18.33[/C][C]NA[/C][C]NA[/C][C]1.00891944752635[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]18.22[/C][C]NA[/C][C]NA[/C][C]1.0149381042117[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]18.21[/C][C]NA[/C][C]NA[/C][C]1.00426649968519[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]18.06[/C][C]NA[/C][C]NA[/C][C]1.00220688231699[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]18.26[/C][C]NA[/C][C]NA[/C][C]0.991000121945[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]18.21[/C][C]NA[/C][C]NA[/C][C]0.99095451053294[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]18.05[/C][C]18.1553808109833[/C][C]18.1770833333333[/C][C]0.99880605034636[/C][C]0.994195615499315[/C][/ROW]
[ROW][C]8[/C][C]18.25[/C][C]18.1401635985745[/C][C]18.15375[/C][C]0.999251592567625[/C][C]1.00605487380688[/C][/ROW]
[ROW][C]9[/C][C]18.27[/C][C]18.0425556994116[/C][C]18.1370833333333[/C][C]0.9947881568285[/C][C]1.01260599132283[/C][/ROW]
[ROW][C]10[/C][C]18.28[/C][C]18.0907984739699[/C][C]18.1316666666667[/C][C]0.997746032207181[/C][C]1.01045843975888[/C][/ROW]
[ROW][C]11[/C][C]18.13[/C][C]18.1558012247889[/C][C]18.13125[/C][C]1.00135408340787[/C][C]0.998578899137008[/C][/ROW]
[ROW][C]12[/C][C]18.01[/C][C]18.0470596857924[/C][C]18.12375[/C][C]0.995768518424301[/C][C]0.997946497299967[/C][/ROW]
[ROW][C]13[/C][C]18.02[/C][C]18.2866649864151[/C][C]18.125[/C][C]1.00891944752635[/C][C]0.985417516719798[/C][/ROW]
[ROW][C]14[/C][C]17.97[/C][C]18.3999820476046[/C][C]18.1291666666667[/C][C]1.0149381042117[/C][C]0.976631387656132[/C][/ROW]
[ROW][C]15[/C][C]18.06[/C][C]18.2031671955439[/C][C]18.1258333333333[/C][C]1.00426649968519[/C][C]0.992135039248613[/C][/ROW]
[ROW][C]16[/C][C]18.08[/C][C]18.1679228454021[/C][C]18.1279166666667[/C][C]1.00220688231699[/C][C]0.995160544980828[/C][/ROW]
[ROW][C]17[/C][C]18.23[/C][C]17.9688967944502[/C][C]18.1320833333333[/C][C]0.991000121945[/C][C]1.01453084229581[/C][/ROW]
[ROW][C]18[/C][C]18.06[/C][C]17.9816953890457[/C][C]18.1458333333333[/C][C]0.99095451053294[/C][C]1.00435468454226[/C][/ROW]
[ROW][C]19[/C][C]18.23[/C][C]18.148722103981[/C][C]18.1704166666667[/C][C]0.99880605034636[/C][C]1.00447843630826[/C][/ROW]
[ROW][C]20[/C][C]18.17[/C][C]18.1838808557494[/C][C]18.1975[/C][C]0.999251592567625[/C][C]0.99923663953479[/C][/ROW]
[ROW][C]21[/C][C]18.27[/C][C]18.1325011285915[/C][C]18.2275[/C][C]0.9947881568285[/C][C]1.00758300636153[/C][/ROW]
[ROW][C]22[/C][C]18.33[/C][C]18.2250784608044[/C][C]18.26625[/C][C]0.997746032207181[/C][C]1.00575698696833[/C][/ROW]
[ROW][C]23[/C][C]18.18[/C][C]18.3197729559469[/C][C]18.295[/C][C]1.00135408340787[/C][C]0.992370377281257[/C][/ROW]
[ROW][C]24[/C][C]18.29[/C][C]18.2453835823786[/C][C]18.3229166666667[/C][C]0.995768518424301[/C][C]1.00244535377510[/C][/ROW]
[ROW][C]25[/C][C]18.33[/C][C]18.5292260369245[/C][C]18.3654166666667[/C][C]1.00891944752635[/C][C]0.989248010870637[/C][/ROW]
[ROW][C]26[/C][C]18.31[/C][C]18.6850104985374[/C][C]18.41[/C][C]1.0149381042117[/C][C]0.979929874881968[/C][/ROW]
[ROW][C]27[/C][C]18.44[/C][C]18.5379226954389[/C][C]18.4591666666667[/C][C]1.00426649968519[/C][C]0.994717709365406[/C][/ROW]
[ROW][C]28[/C][C]18.63[/C][C]18.5458383572758[/C][C]18.505[/C][C]1.00220688231699[/C][C]1.00453803387600[/C][/ROW]
[ROW][C]29[/C][C]18.37[/C][C]18.3884201794069[/C][C]18.5554166666667[/C][C]0.991000121945[/C][C]0.998998272868075[/C][/ROW]
[ROW][C]30[/C][C]18.59[/C][C]18.4371215661781[/C][C]18.6054166666667[/C][C]0.99095451053294[/C][C]1.00829188185765[/C][/ROW]
[ROW][C]31[/C][C]18.72[/C][C]18.6427149297148[/C][C]18.665[/C][C]0.99880605034636[/C][C]1.00414559094942[/C][/ROW]
[ROW][C]32[/C][C]18.75[/C][C]18.7268075543778[/C][C]18.7408333333333[/C][C]0.999251592567625[/C][C]1.00123846232493[/C][/ROW]
[ROW][C]33[/C][C]18.87[/C][C]18.7206696263163[/C][C]18.81875[/C][C]0.9947881568285[/C][C]1.00797676454232[/C][/ROW]
[ROW][C]34[/C][C]18.83[/C][C]18.8478382759071[/C][C]18.8904166666667[/C][C]0.997746032207181[/C][C]0.999053563828066[/C][/ROW]
[ROW][C]35[/C][C]18.89[/C][C]18.9890112683578[/C][C]18.9633333333333[/C][C]1.00135408340787[/C][C]0.994785864995361[/C][/ROW]
[ROW][C]36[/C][C]18.78[/C][C]18.945325870121[/C][C]19.0258333333333[/C][C]0.995768518424301[/C][C]0.991273527240735[/C][/ROW]
[ROW][C]37[/C][C]19.27[/C][C]19.2405142474306[/C][C]19.0704166666667[/C][C]1.00891944752635[/C][C]1.00153248256207[/C][/ROW]
[ROW][C]38[/C][C]19.19[/C][C]19.3988502984996[/C][C]19.1133333333333[/C][C]1.0149381042117[/C][C]0.989233882663873[/C][/ROW]
[ROW][C]39[/C][C]19.43[/C][C]19.2212423595997[/C][C]19.1395833333333[/C][C]1.00426649968519[/C][C]1.01086077770077[/C][/ROW]
[ROW][C]40[/C][C]19.36[/C][C]19.1989431755857[/C][C]19.1566666666667[/C][C]1.00220688231699[/C][C]1.00838883801787[/C][/ROW]
[ROW][C]41[/C][C]19.39[/C][C]19.0181181735595[/C][C]19.1908333333333[/C][C]0.991000121945[/C][C]1.01955408116864[/C][/ROW]
[ROW][C]42[/C][C]19.07[/C][C]19.0614229078138[/C][C]19.2354166666667[/C][C]0.99095451053294[/C][C]1.00044997124442[/C][/ROW]
[ROW][C]43[/C][C]19.31[/C][C]19.2524027896137[/C][C]19.2754166666667[/C][C]0.99880605034636[/C][C]1.00299168945381[/C][/ROW]
[ROW][C]44[/C][C]19.19[/C][C]19.3296893485602[/C][C]19.3441666666667[/C][C]0.999251592567625[/C][C]0.99277332676996[/C][/ROW]
[ROW][C]45[/C][C]19.06[/C][C]19.2988902424729[/C][C]19.4[/C][C]0.9947881568285[/C][C]0.987621555463995[/C][/ROW]
[ROW][C]46[/C][C]19.05[/C][C]19.3625089375206[/C][C]19.40625[/C][C]0.997746032207181[/C][C]0.983860101057718[/C][/ROW]
[ROW][C]47[/C][C]19.49[/C][C]19.4129178303338[/C][C]19.3866666666667[/C][C]1.00135408340787[/C][C]1.00397066377862[/C][/ROW]
[ROW][C]48[/C][C]19.25[/C][C]19.2822275521879[/C][C]19.3641666666667[/C][C]0.995768518424301[/C][C]0.998328639567152[/C][/ROW]
[ROW][C]49[/C][C]19.76[/C][C]19.5314193548007[/C][C]19.35875[/C][C]1.00891944752635[/C][C]1.01170322755592[/C][/ROW]
[ROW][C]50[/C][C]20.35[/C][C]19.6559679515666[/C][C]19.3666666666667[/C][C]1.0149381042117[/C][C]1.03530897334304[/C][/ROW]
[ROW][C]51[/C][C]19.61[/C][C]19.4555712095263[/C][C]19.3729166666667[/C][C]1.00426649968519[/C][C]1.00793750997134[/C][/ROW]
[ROW][C]52[/C][C]19.33[/C][C]19.4261100689109[/C][C]19.3833333333333[/C][C]1.00220688231699[/C][C]0.995052531434756[/C][/ROW]
[ROW][C]53[/C][C]18.95[/C][C]19.2278798660379[/C][C]19.4025[/C][C]0.991000121945[/C][C]0.985548075608238[/C][/ROW]
[ROW][C]54[/C][C]18.97[/C][C]19.2443365945497[/C][C]19.42[/C][C]0.99095451053294[/C][C]0.985744554341904[/C][/ROW]
[ROW][C]55[/C][C]19.28[/C][C]19.4126279268568[/C][C]19.4358333333333[/C][C]0.99880605034636[/C][C]0.993167956066716[/C][/ROW]
[ROW][C]56[/C][C]19.41[/C][C]19.4162911532494[/C][C]19.4308333333333[/C][C]0.999251592567625[/C][C]0.999675985840974[/C][/ROW]
[ROW][C]57[/C][C]18.99[/C][C]19.314641054956[/C][C]19.4158333333333[/C][C]0.9947881568285[/C][C]0.983191970586856[/C][/ROW]
[ROW][C]58[/C][C]19.37[/C][C]19.3729021253561[/C][C]19.4166666666667[/C][C]0.997746032207181[/C][C]0.99985019666453[/C][/ROW]
[ROW][C]59[/C][C]19.63[/C][C]19.4496341467254[/C][C]19.4233333333333[/C][C]1.00135408340787[/C][C]1.00927348308528[/C][/ROW]
[ROW][C]60[/C][C]19.53[/C][C]19.3560803839710[/C][C]19.4383333333333[/C][C]0.995768518424301[/C][C]1.00898527039457[/C][/ROW]
[ROW][C]61[/C][C]19.86[/C][C]19.6424004940286[/C][C]19.46875[/C][C]1.00891944752635[/C][C]1.01107805056910[/C][/ROW]
[ROW][C]62[/C][C]20.13[/C][C]19.7764918514417[/C][C]19.4854166666667[/C][C]1.0149381042117[/C][C]1.01787516973252[/C][/ROW]
[ROW][C]63[/C][C]19.47[/C][C]19.6007714076058[/C][C]19.5175[/C][C]1.00426649968519[/C][C]0.993328251991397[/C][/ROW]
[ROW][C]64[/C][C]19.49[/C][C]19.5714300668469[/C][C]19.5283333333333[/C][C]1.00220688231699[/C][C]0.995839339968069[/C][/ROW]
[ROW][C]65[/C][C]18.95[/C][C]19.3298702952547[/C][C]19.5054166666667[/C][C]0.991000121945[/C][C]0.98034801633677[/C][/ROW]
[ROW][C]66[/C][C]19.33[/C][C]19.3273290348068[/C][C]19.50375[/C][C]0.99095451053294[/C][C]1.00013819629129[/C][/ROW]
[ROW][C]67[/C][C]19.65[/C][C]NA[/C][C]NA[/C][C]0.99880605034636[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]19.44[/C][C]NA[/C][C]NA[/C][C]0.999251592567625[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]19.73[/C][C]NA[/C][C]NA[/C][C]0.9947881568285[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]18.89[/C][C]NA[/C][C]NA[/C][C]0.997746032207181[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]19.56[/C][C]NA[/C][C]NA[/C][C]1.00135408340787[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]19.56[/C][C]NA[/C][C]NA[/C][C]0.995768518424301[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36983&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36983&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	18.33	NA	NA	1.00891944752635	NA
2	18.22	NA	NA	1.0149381042117	NA
3	18.21	NA	NA	1.00426649968519	NA
4	18.06	NA	NA	1.00220688231699	NA
5	18.26	NA	NA	0.991000121945	NA
6	18.21	NA	NA	0.99095451053294	NA
7	18.05	18.1553808109833	18.1770833333333	0.99880605034636	0.994195615499315
8	18.25	18.1401635985745	18.15375	0.999251592567625	1.00605487380688
9	18.27	18.0425556994116	18.1370833333333	0.9947881568285	1.01260599132283
10	18.28	18.0907984739699	18.1316666666667	0.997746032207181	1.01045843975888
11	18.13	18.1558012247889	18.13125	1.00135408340787	0.998578899137008
12	18.01	18.0470596857924	18.12375	0.995768518424301	0.997946497299967
13	18.02	18.2866649864151	18.125	1.00891944752635	0.985417516719798
14	17.97	18.3999820476046	18.1291666666667	1.0149381042117	0.976631387656132
15	18.06	18.2031671955439	18.1258333333333	1.00426649968519	0.992135039248613
16	18.08	18.1679228454021	18.1279166666667	1.00220688231699	0.995160544980828
17	18.23	17.9688967944502	18.1320833333333	0.991000121945	1.01453084229581
18	18.06	17.9816953890457	18.1458333333333	0.99095451053294	1.00435468454226
19	18.23	18.148722103981	18.1704166666667	0.99880605034636	1.00447843630826
20	18.17	18.1838808557494	18.1975	0.999251592567625	0.99923663953479
21	18.27	18.1325011285915	18.2275	0.9947881568285	1.00758300636153
22	18.33	18.2250784608044	18.26625	0.997746032207181	1.00575698696833
23	18.18	18.3197729559469	18.295	1.00135408340787	0.992370377281257
24	18.29	18.2453835823786	18.3229166666667	0.995768518424301	1.00244535377510
25	18.33	18.5292260369245	18.3654166666667	1.00891944752635	0.989248010870637
26	18.31	18.6850104985374	18.41	1.0149381042117	0.979929874881968
27	18.44	18.5379226954389	18.4591666666667	1.00426649968519	0.994717709365406
28	18.63	18.5458383572758	18.505	1.00220688231699	1.00453803387600
29	18.37	18.3884201794069	18.5554166666667	0.991000121945	0.998998272868075
30	18.59	18.4371215661781	18.6054166666667	0.99095451053294	1.00829188185765
31	18.72	18.6427149297148	18.665	0.99880605034636	1.00414559094942
32	18.75	18.7268075543778	18.7408333333333	0.999251592567625	1.00123846232493
33	18.87	18.7206696263163	18.81875	0.9947881568285	1.00797676454232
34	18.83	18.8478382759071	18.8904166666667	0.997746032207181	0.999053563828066
35	18.89	18.9890112683578	18.9633333333333	1.00135408340787	0.994785864995361
36	18.78	18.945325870121	19.0258333333333	0.995768518424301	0.991273527240735
37	19.27	19.2405142474306	19.0704166666667	1.00891944752635	1.00153248256207
38	19.19	19.3988502984996	19.1133333333333	1.0149381042117	0.989233882663873
39	19.43	19.2212423595997	19.1395833333333	1.00426649968519	1.01086077770077
40	19.36	19.1989431755857	19.1566666666667	1.00220688231699	1.00838883801787
41	19.39	19.0181181735595	19.1908333333333	0.991000121945	1.01955408116864
42	19.07	19.0614229078138	19.2354166666667	0.99095451053294	1.00044997124442
43	19.31	19.2524027896137	19.2754166666667	0.99880605034636	1.00299168945381
44	19.19	19.3296893485602	19.3441666666667	0.999251592567625	0.99277332676996
45	19.06	19.2988902424729	19.4	0.9947881568285	0.987621555463995
46	19.05	19.3625089375206	19.40625	0.997746032207181	0.983860101057718
47	19.49	19.4129178303338	19.3866666666667	1.00135408340787	1.00397066377862
48	19.25	19.2822275521879	19.3641666666667	0.995768518424301	0.998328639567152
49	19.76	19.5314193548007	19.35875	1.00891944752635	1.01170322755592
50	20.35	19.6559679515666	19.3666666666667	1.0149381042117	1.03530897334304
51	19.61	19.4555712095263	19.3729166666667	1.00426649968519	1.00793750997134
52	19.33	19.4261100689109	19.3833333333333	1.00220688231699	0.995052531434756
53	18.95	19.2278798660379	19.4025	0.991000121945	0.985548075608238
54	18.97	19.2443365945497	19.42	0.99095451053294	0.985744554341904
55	19.28	19.4126279268568	19.4358333333333	0.99880605034636	0.993167956066716
56	19.41	19.4162911532494	19.4308333333333	0.999251592567625	0.999675985840974
57	18.99	19.314641054956	19.4158333333333	0.9947881568285	0.983191970586856
58	19.37	19.3729021253561	19.4166666666667	0.997746032207181	0.99985019666453
59	19.63	19.4496341467254	19.4233333333333	1.00135408340787	1.00927348308528
60	19.53	19.3560803839710	19.4383333333333	0.995768518424301	1.00898527039457
61	19.86	19.6424004940286	19.46875	1.00891944752635	1.01107805056910
62	20.13	19.7764918514417	19.4854166666667	1.0149381042117	1.01787516973252
63	19.47	19.6007714076058	19.5175	1.00426649968519	0.993328251991397
64	19.49	19.5714300668469	19.5283333333333	1.00220688231699	0.995839339968069
65	18.95	19.3298702952547	19.5054166666667	0.991000121945	0.98034801633677
66	19.33	19.3273290348068	19.50375	0.99095451053294	1.00013819629129
67	19.65	NA	NA	0.99880605034636	NA
68	19.44	NA	NA	0.999251592567625	NA
69	19.73	NA	NA	0.9947881568285	NA
70	18.89	NA	NA	0.997746032207181	NA
71	19.56	NA	NA	1.00135408340787	NA
72	19.56	NA	NA	0.995768518424301	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