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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 22 May 2008 11:22:28 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/22/t12114770555b0cqe90xadlvrt.htm/, Retrieved Sat, 02 May 2026 17:32:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13031, Retrieved Sat, 02 May 2026 17:32:09 +0000

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Estimated Impact

504

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

-       [Classical Decomposition] [Additief Decompos...] [2008-05-22 17:22:28] [f907c40368cff310b72a5f11c2582b2e] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13031&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13031&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13031&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	101.22	NA	NA	0.113194444444445	NA
2	101.25	NA	NA	0.0388194444444411	NA
3	101.25	NA	NA	0.00861111111109973	NA
4	101.26	NA	NA	-0.0801388888889013	NA
5	101.26	NA	NA	-0.171701388888893	NA
6	101.26	NA	NA	-0.253368055555560	NA
7	101.29	100.938298611111	101.286666666667	-0.348368055555548	0.351701388888898
8	101.31	100.875902777778	101.295416666667	-0.419513888888887	0.434097222222235
9	101.31	101.457152777778	101.302916666667	0.15423611111112	-0.147152777777762
10	101.31	101.700277777778	101.31	0.390277777777785	-0.390277777777754
11	101.32	101.650277777778	101.316666666667	0.333611111111117	-0.330277777777766
12	101.34	101.557673611111	101.323333333333	0.234340277777781	-0.217673611111081
13	101.34	101.441944444444	101.32875	0.113194444444445	-0.101944444444428
14	101.34	101.372986111111	101.334166666667	0.0388194444444411	-0.0329861111110858
15	101.34	101.381527777778	101.372916666667	0.00861111111109973	-0.0415277777777305
16	101.34	101.364861111111	101.445	-0.0801388888889013	-0.0248611111110932
17	101.34	101.351215277778	101.522916666667	-0.171701388888893	-0.011215277777751
18	101.34	101.351631944444	101.605	-0.253368055555560	-0.0116319444444315
19	101.34	101.338298611111	101.686666666667	-0.348368055555548	0.00170138888891813
20	101.39	101.348819444444	101.768333333333	-0.419513888888887	0.0411805555555702
21	102.16	102.005902777778	101.851666666667	0.15423611111112	0.154097222222248
22	102.19	102.326944444444	101.936666666667	0.390277777777785	-0.136944444444424
23	102.31	102.355694444444	102.022083333333	0.333611111111117	-0.0456944444444218
24	102.32	102.342256944444	102.107916666667	0.234340277777781	-0.0222569444444360
25	102.32	102.306944444444	102.19375	0.113194444444445	0.0130555555555532
26	102.32	102.316319444444	102.2775	0.0388194444444411	0.00368055555554747
27	102.36	102.380694444444	102.372083333333	0.00861111111109973	-0.0206944444444446
28	102.36	102.412777777778	102.492916666667	-0.0801388888889013	-0.0527777777777771
29	102.37	102.450798611111	102.6225	-0.171701388888893	-0.0807986111111205
30	102.37	102.493715277778	102.747083333333	-0.253368055555560	-0.123715277777791
31	102.37	102.522881944444	102.87125	-0.348368055555548	-0.152881944444445
32	102.37	102.577152777778	102.996666666667	-0.419513888888887	-0.207152777777779
33	103.45	103.278402777778	103.124166666667	0.15423611111112	0.171597222222218
34	103.8	103.643194444444	103.252916666667	0.390277777777785	0.156805555555550
35	103.81	103.715694444444	103.382083333333	0.333611111111117	0.0943055555555503
36	103.81	103.745590277778	103.51125	0.234340277777781	0.0644097222222229
37	103.81	103.754027777778	103.640833333333	0.113194444444445	0.0559722222222234
38	103.84	103.812569444444	103.77375	0.0388194444444411	0.0274305555555401
39	103.9	103.894444444444	103.885833333333	0.00861111111109973	0.00555555555555998
40	103.91	103.899861111111	103.98	-0.0801388888889013	0.0101388888888749
41	103.92	103.908298611111	104.08	-0.171701388888893	0.0117013888888948
42	103.92	103.926631944444	104.18	-0.253368055555560	-0.00663194444443604
43	103.93	103.931631944444	104.28	-0.348368055555548	-0.00163194444442638
44	104	103.959236111111	104.37875	-0.419513888888887	0.0407638888889039
45	104.51	104.632986111111	104.47875	0.15423611111112	-0.122986111111089
46	105	104.971527777778	104.58125	0.390277777777785	0.0284722222222342
47	105.01	105.017361111111	104.68375	0.333611111111117	-0.00736111111109494
48	105.01	105.023506944444	104.789166666667	0.234340277777781	-0.0135069444444156
49	105.01	105.010694444444	104.8975	0.113194444444445	-0.000694444444434339
50	105.01	105.041736111111	105.002916666667	0.0388194444444411	-0.031736111111087
51	105.13	105.106944444444	105.098333333333	0.00861111111109973	0.0230555555555583
52	105.14	105.106111111111	105.18625	-0.0801388888889013	0.0338888888888960
53	105.15	105.103298611111	105.275	-0.171701388888893	0.0467013888888914
54	105.22	105.111631944444	105.365	-0.253368055555560	0.108368055555559
55	105.23	105.110798611111	105.459166666667	-0.348368055555548	0.119201388888897
56	105.23	105.138402777778	105.557916666667	-0.419513888888887	0.0915972222222194
57	105.57	105.806319444444	105.652083333333	0.15423611111112	-0.236319444444447
58	106.05	106.131944444444	105.741666666667	0.390277777777785	-0.0819444444444315
59	106.09	106.164861111111	105.83125	0.333611111111117	-0.0748611111110904
60	106.09	106.152256944444	105.917916666667	0.234340277777781	-0.0622569444444281
61	106.19	106.114861111111	106.001666666667	0.113194444444445	0.0751388888888727
62	106.2	106.139652777778	106.100833333333	0.0388194444444411	0.0603472222222337
63	106.2	106.224444444444	106.215833333333	0.00861111111109973	-0.0244444444444269
64	106.22	106.263611111111	106.34375	-0.0801388888889013	-0.0436111111110904
65	106.22	106.313715277778	106.485416666667	-0.171701388888893	-0.0937152777777612
66	106.23	106.374548611111	106.627916666667	-0.253368055555560	-0.144548611111091
67	106.23	NA	NA	-0.348368055555548	NA
68	106.61	NA	NA	-0.419513888888887	NA
69	106.95	NA	NA	0.15423611111112	NA
70	107.74	NA	NA	0.390277777777785	NA
71	107.8	NA	NA	0.333611111111117	NA
72	107.8	NA	NA	0.234340277777781	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.22 & NA & NA & 0.113194444444445 & NA \tabularnewline
2 & 101.25 & NA & NA & 0.0388194444444411 & NA \tabularnewline
3 & 101.25 & NA & NA & 0.00861111111109973 & NA \tabularnewline
4 & 101.26 & NA & NA & -0.0801388888889013 & NA \tabularnewline
5 & 101.26 & NA & NA & -0.171701388888893 & NA \tabularnewline
6 & 101.26 & NA & NA & -0.253368055555560 & NA \tabularnewline
7 & 101.29 & 100.938298611111 & 101.286666666667 & -0.348368055555548 & 0.351701388888898 \tabularnewline
8 & 101.31 & 100.875902777778 & 101.295416666667 & -0.419513888888887 & 0.434097222222235 \tabularnewline
9 & 101.31 & 101.457152777778 & 101.302916666667 & 0.15423611111112 & -0.147152777777762 \tabularnewline
10 & 101.31 & 101.700277777778 & 101.31 & 0.390277777777785 & -0.390277777777754 \tabularnewline
11 & 101.32 & 101.650277777778 & 101.316666666667 & 0.333611111111117 & -0.330277777777766 \tabularnewline
12 & 101.34 & 101.557673611111 & 101.323333333333 & 0.234340277777781 & -0.217673611111081 \tabularnewline
13 & 101.34 & 101.441944444444 & 101.32875 & 0.113194444444445 & -0.101944444444428 \tabularnewline
14 & 101.34 & 101.372986111111 & 101.334166666667 & 0.0388194444444411 & -0.0329861111110858 \tabularnewline
15 & 101.34 & 101.381527777778 & 101.372916666667 & 0.00861111111109973 & -0.0415277777777305 \tabularnewline
16 & 101.34 & 101.364861111111 & 101.445 & -0.0801388888889013 & -0.0248611111110932 \tabularnewline
17 & 101.34 & 101.351215277778 & 101.522916666667 & -0.171701388888893 & -0.011215277777751 \tabularnewline
18 & 101.34 & 101.351631944444 & 101.605 & -0.253368055555560 & -0.0116319444444315 \tabularnewline
19 & 101.34 & 101.338298611111 & 101.686666666667 & -0.348368055555548 & 0.00170138888891813 \tabularnewline
20 & 101.39 & 101.348819444444 & 101.768333333333 & -0.419513888888887 & 0.0411805555555702 \tabularnewline
21 & 102.16 & 102.005902777778 & 101.851666666667 & 0.15423611111112 & 0.154097222222248 \tabularnewline
22 & 102.19 & 102.326944444444 & 101.936666666667 & 0.390277777777785 & -0.136944444444424 \tabularnewline
23 & 102.31 & 102.355694444444 & 102.022083333333 & 0.333611111111117 & -0.0456944444444218 \tabularnewline
24 & 102.32 & 102.342256944444 & 102.107916666667 & 0.234340277777781 & -0.0222569444444360 \tabularnewline
25 & 102.32 & 102.306944444444 & 102.19375 & 0.113194444444445 & 0.0130555555555532 \tabularnewline
26 & 102.32 & 102.316319444444 & 102.2775 & 0.0388194444444411 & 0.00368055555554747 \tabularnewline
27 & 102.36 & 102.380694444444 & 102.372083333333 & 0.00861111111109973 & -0.0206944444444446 \tabularnewline
28 & 102.36 & 102.412777777778 & 102.492916666667 & -0.0801388888889013 & -0.0527777777777771 \tabularnewline
29 & 102.37 & 102.450798611111 & 102.6225 & -0.171701388888893 & -0.0807986111111205 \tabularnewline
30 & 102.37 & 102.493715277778 & 102.747083333333 & -0.253368055555560 & -0.123715277777791 \tabularnewline
31 & 102.37 & 102.522881944444 & 102.87125 & -0.348368055555548 & -0.152881944444445 \tabularnewline
32 & 102.37 & 102.577152777778 & 102.996666666667 & -0.419513888888887 & -0.207152777777779 \tabularnewline
33 & 103.45 & 103.278402777778 & 103.124166666667 & 0.15423611111112 & 0.171597222222218 \tabularnewline
34 & 103.8 & 103.643194444444 & 103.252916666667 & 0.390277777777785 & 0.156805555555550 \tabularnewline
35 & 103.81 & 103.715694444444 & 103.382083333333 & 0.333611111111117 & 0.0943055555555503 \tabularnewline
36 & 103.81 & 103.745590277778 & 103.51125 & 0.234340277777781 & 0.0644097222222229 \tabularnewline
37 & 103.81 & 103.754027777778 & 103.640833333333 & 0.113194444444445 & 0.0559722222222234 \tabularnewline
38 & 103.84 & 103.812569444444 & 103.77375 & 0.0388194444444411 & 0.0274305555555401 \tabularnewline
39 & 103.9 & 103.894444444444 & 103.885833333333 & 0.00861111111109973 & 0.00555555555555998 \tabularnewline
40 & 103.91 & 103.899861111111 & 103.98 & -0.0801388888889013 & 0.0101388888888749 \tabularnewline
41 & 103.92 & 103.908298611111 & 104.08 & -0.171701388888893 & 0.0117013888888948 \tabularnewline
42 & 103.92 & 103.926631944444 & 104.18 & -0.253368055555560 & -0.00663194444443604 \tabularnewline
43 & 103.93 & 103.931631944444 & 104.28 & -0.348368055555548 & -0.00163194444442638 \tabularnewline
44 & 104 & 103.959236111111 & 104.37875 & -0.419513888888887 & 0.0407638888889039 \tabularnewline
45 & 104.51 & 104.632986111111 & 104.47875 & 0.15423611111112 & -0.122986111111089 \tabularnewline
46 & 105 & 104.971527777778 & 104.58125 & 0.390277777777785 & 0.0284722222222342 \tabularnewline
47 & 105.01 & 105.017361111111 & 104.68375 & 0.333611111111117 & -0.00736111111109494 \tabularnewline
48 & 105.01 & 105.023506944444 & 104.789166666667 & 0.234340277777781 & -0.0135069444444156 \tabularnewline
49 & 105.01 & 105.010694444444 & 104.8975 & 0.113194444444445 & -0.000694444444434339 \tabularnewline
50 & 105.01 & 105.041736111111 & 105.002916666667 & 0.0388194444444411 & -0.031736111111087 \tabularnewline
51 & 105.13 & 105.106944444444 & 105.098333333333 & 0.00861111111109973 & 0.0230555555555583 \tabularnewline
52 & 105.14 & 105.106111111111 & 105.18625 & -0.0801388888889013 & 0.0338888888888960 \tabularnewline
53 & 105.15 & 105.103298611111 & 105.275 & -0.171701388888893 & 0.0467013888888914 \tabularnewline
54 & 105.22 & 105.111631944444 & 105.365 & -0.253368055555560 & 0.108368055555559 \tabularnewline
55 & 105.23 & 105.110798611111 & 105.459166666667 & -0.348368055555548 & 0.119201388888897 \tabularnewline
56 & 105.23 & 105.138402777778 & 105.557916666667 & -0.419513888888887 & 0.0915972222222194 \tabularnewline
57 & 105.57 & 105.806319444444 & 105.652083333333 & 0.15423611111112 & -0.236319444444447 \tabularnewline
58 & 106.05 & 106.131944444444 & 105.741666666667 & 0.390277777777785 & -0.0819444444444315 \tabularnewline
59 & 106.09 & 106.164861111111 & 105.83125 & 0.333611111111117 & -0.0748611111110904 \tabularnewline
60 & 106.09 & 106.152256944444 & 105.917916666667 & 0.234340277777781 & -0.0622569444444281 \tabularnewline
61 & 106.19 & 106.114861111111 & 106.001666666667 & 0.113194444444445 & 0.0751388888888727 \tabularnewline
62 & 106.2 & 106.139652777778 & 106.100833333333 & 0.0388194444444411 & 0.0603472222222337 \tabularnewline
63 & 106.2 & 106.224444444444 & 106.215833333333 & 0.00861111111109973 & -0.0244444444444269 \tabularnewline
64 & 106.22 & 106.263611111111 & 106.34375 & -0.0801388888889013 & -0.0436111111110904 \tabularnewline
65 & 106.22 & 106.313715277778 & 106.485416666667 & -0.171701388888893 & -0.0937152777777612 \tabularnewline
66 & 106.23 & 106.374548611111 & 106.627916666667 & -0.253368055555560 & -0.144548611111091 \tabularnewline
67 & 106.23 & NA & NA & -0.348368055555548 & NA \tabularnewline
68 & 106.61 & NA & NA & -0.419513888888887 & NA \tabularnewline
69 & 106.95 & NA & NA & 0.15423611111112 & NA \tabularnewline
70 & 107.74 & NA & NA & 0.390277777777785 & NA \tabularnewline
71 & 107.8 & NA & NA & 0.333611111111117 & NA \tabularnewline
72 & 107.8 & NA & NA & 0.234340277777781 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13031&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]101.22[/C][C]NA[/C][C]NA[/C][C]0.113194444444445[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.25[/C][C]NA[/C][C]NA[/C][C]0.0388194444444411[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]101.25[/C][C]NA[/C][C]NA[/C][C]0.00861111111109973[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]101.26[/C][C]NA[/C][C]NA[/C][C]-0.0801388888889013[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.26[/C][C]NA[/C][C]NA[/C][C]-0.171701388888893[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.26[/C][C]NA[/C][C]NA[/C][C]-0.253368055555560[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]101.29[/C][C]100.938298611111[/C][C]101.286666666667[/C][C]-0.348368055555548[/C][C]0.351701388888898[/C][/ROW]
[ROW][C]8[/C][C]101.31[/C][C]100.875902777778[/C][C]101.295416666667[/C][C]-0.419513888888887[/C][C]0.434097222222235[/C][/ROW]
[ROW][C]9[/C][C]101.31[/C][C]101.457152777778[/C][C]101.302916666667[/C][C]0.15423611111112[/C][C]-0.147152777777762[/C][/ROW]
[ROW][C]10[/C][C]101.31[/C][C]101.700277777778[/C][C]101.31[/C][C]0.390277777777785[/C][C]-0.390277777777754[/C][/ROW]
[ROW][C]11[/C][C]101.32[/C][C]101.650277777778[/C][C]101.316666666667[/C][C]0.333611111111117[/C][C]-0.330277777777766[/C][/ROW]
[ROW][C]12[/C][C]101.34[/C][C]101.557673611111[/C][C]101.323333333333[/C][C]0.234340277777781[/C][C]-0.217673611111081[/C][/ROW]
[ROW][C]13[/C][C]101.34[/C][C]101.441944444444[/C][C]101.32875[/C][C]0.113194444444445[/C][C]-0.101944444444428[/C][/ROW]
[ROW][C]14[/C][C]101.34[/C][C]101.372986111111[/C][C]101.334166666667[/C][C]0.0388194444444411[/C][C]-0.0329861111110858[/C][/ROW]
[ROW][C]15[/C][C]101.34[/C][C]101.381527777778[/C][C]101.372916666667[/C][C]0.00861111111109973[/C][C]-0.0415277777777305[/C][/ROW]
[ROW][C]16[/C][C]101.34[/C][C]101.364861111111[/C][C]101.445[/C][C]-0.0801388888889013[/C][C]-0.0248611111110932[/C][/ROW]
[ROW][C]17[/C][C]101.34[/C][C]101.351215277778[/C][C]101.522916666667[/C][C]-0.171701388888893[/C][C]-0.011215277777751[/C][/ROW]
[ROW][C]18[/C][C]101.34[/C][C]101.351631944444[/C][C]101.605[/C][C]-0.253368055555560[/C][C]-0.0116319444444315[/C][/ROW]
[ROW][C]19[/C][C]101.34[/C][C]101.338298611111[/C][C]101.686666666667[/C][C]-0.348368055555548[/C][C]0.00170138888891813[/C][/ROW]
[ROW][C]20[/C][C]101.39[/C][C]101.348819444444[/C][C]101.768333333333[/C][C]-0.419513888888887[/C][C]0.0411805555555702[/C][/ROW]
[ROW][C]21[/C][C]102.16[/C][C]102.005902777778[/C][C]101.851666666667[/C][C]0.15423611111112[/C][C]0.154097222222248[/C][/ROW]
[ROW][C]22[/C][C]102.19[/C][C]102.326944444444[/C][C]101.936666666667[/C][C]0.390277777777785[/C][C]-0.136944444444424[/C][/ROW]
[ROW][C]23[/C][C]102.31[/C][C]102.355694444444[/C][C]102.022083333333[/C][C]0.333611111111117[/C][C]-0.0456944444444218[/C][/ROW]
[ROW][C]24[/C][C]102.32[/C][C]102.342256944444[/C][C]102.107916666667[/C][C]0.234340277777781[/C][C]-0.0222569444444360[/C][/ROW]
[ROW][C]25[/C][C]102.32[/C][C]102.306944444444[/C][C]102.19375[/C][C]0.113194444444445[/C][C]0.0130555555555532[/C][/ROW]
[ROW][C]26[/C][C]102.32[/C][C]102.316319444444[/C][C]102.2775[/C][C]0.0388194444444411[/C][C]0.00368055555554747[/C][/ROW]
[ROW][C]27[/C][C]102.36[/C][C]102.380694444444[/C][C]102.372083333333[/C][C]0.00861111111109973[/C][C]-0.0206944444444446[/C][/ROW]
[ROW][C]28[/C][C]102.36[/C][C]102.412777777778[/C][C]102.492916666667[/C][C]-0.0801388888889013[/C][C]-0.0527777777777771[/C][/ROW]
[ROW][C]29[/C][C]102.37[/C][C]102.450798611111[/C][C]102.6225[/C][C]-0.171701388888893[/C][C]-0.0807986111111205[/C][/ROW]
[ROW][C]30[/C][C]102.37[/C][C]102.493715277778[/C][C]102.747083333333[/C][C]-0.253368055555560[/C][C]-0.123715277777791[/C][/ROW]
[ROW][C]31[/C][C]102.37[/C][C]102.522881944444[/C][C]102.87125[/C][C]-0.348368055555548[/C][C]-0.152881944444445[/C][/ROW]
[ROW][C]32[/C][C]102.37[/C][C]102.577152777778[/C][C]102.996666666667[/C][C]-0.419513888888887[/C][C]-0.207152777777779[/C][/ROW]
[ROW][C]33[/C][C]103.45[/C][C]103.278402777778[/C][C]103.124166666667[/C][C]0.15423611111112[/C][C]0.171597222222218[/C][/ROW]
[ROW][C]34[/C][C]103.8[/C][C]103.643194444444[/C][C]103.252916666667[/C][C]0.390277777777785[/C][C]0.156805555555550[/C][/ROW]
[ROW][C]35[/C][C]103.81[/C][C]103.715694444444[/C][C]103.382083333333[/C][C]0.333611111111117[/C][C]0.0943055555555503[/C][/ROW]
[ROW][C]36[/C][C]103.81[/C][C]103.745590277778[/C][C]103.51125[/C][C]0.234340277777781[/C][C]0.0644097222222229[/C][/ROW]
[ROW][C]37[/C][C]103.81[/C][C]103.754027777778[/C][C]103.640833333333[/C][C]0.113194444444445[/C][C]0.0559722222222234[/C][/ROW]
[ROW][C]38[/C][C]103.84[/C][C]103.812569444444[/C][C]103.77375[/C][C]0.0388194444444411[/C][C]0.0274305555555401[/C][/ROW]
[ROW][C]39[/C][C]103.9[/C][C]103.894444444444[/C][C]103.885833333333[/C][C]0.00861111111109973[/C][C]0.00555555555555998[/C][/ROW]
[ROW][C]40[/C][C]103.91[/C][C]103.899861111111[/C][C]103.98[/C][C]-0.0801388888889013[/C][C]0.0101388888888749[/C][/ROW]
[ROW][C]41[/C][C]103.92[/C][C]103.908298611111[/C][C]104.08[/C][C]-0.171701388888893[/C][C]0.0117013888888948[/C][/ROW]
[ROW][C]42[/C][C]103.92[/C][C]103.926631944444[/C][C]104.18[/C][C]-0.253368055555560[/C][C]-0.00663194444443604[/C][/ROW]
[ROW][C]43[/C][C]103.93[/C][C]103.931631944444[/C][C]104.28[/C][C]-0.348368055555548[/C][C]-0.00163194444442638[/C][/ROW]
[ROW][C]44[/C][C]104[/C][C]103.959236111111[/C][C]104.37875[/C][C]-0.419513888888887[/C][C]0.0407638888889039[/C][/ROW]
[ROW][C]45[/C][C]104.51[/C][C]104.632986111111[/C][C]104.47875[/C][C]0.15423611111112[/C][C]-0.122986111111089[/C][/ROW]
[ROW][C]46[/C][C]105[/C][C]104.971527777778[/C][C]104.58125[/C][C]0.390277777777785[/C][C]0.0284722222222342[/C][/ROW]
[ROW][C]47[/C][C]105.01[/C][C]105.017361111111[/C][C]104.68375[/C][C]0.333611111111117[/C][C]-0.00736111111109494[/C][/ROW]
[ROW][C]48[/C][C]105.01[/C][C]105.023506944444[/C][C]104.789166666667[/C][C]0.234340277777781[/C][C]-0.0135069444444156[/C][/ROW]
[ROW][C]49[/C][C]105.01[/C][C]105.010694444444[/C][C]104.8975[/C][C]0.113194444444445[/C][C]-0.000694444444434339[/C][/ROW]
[ROW][C]50[/C][C]105.01[/C][C]105.041736111111[/C][C]105.002916666667[/C][C]0.0388194444444411[/C][C]-0.031736111111087[/C][/ROW]
[ROW][C]51[/C][C]105.13[/C][C]105.106944444444[/C][C]105.098333333333[/C][C]0.00861111111109973[/C][C]0.0230555555555583[/C][/ROW]
[ROW][C]52[/C][C]105.14[/C][C]105.106111111111[/C][C]105.18625[/C][C]-0.0801388888889013[/C][C]0.0338888888888960[/C][/ROW]
[ROW][C]53[/C][C]105.15[/C][C]105.103298611111[/C][C]105.275[/C][C]-0.171701388888893[/C][C]0.0467013888888914[/C][/ROW]
[ROW][C]54[/C][C]105.22[/C][C]105.111631944444[/C][C]105.365[/C][C]-0.253368055555560[/C][C]0.108368055555559[/C][/ROW]
[ROW][C]55[/C][C]105.23[/C][C]105.110798611111[/C][C]105.459166666667[/C][C]-0.348368055555548[/C][C]0.119201388888897[/C][/ROW]
[ROW][C]56[/C][C]105.23[/C][C]105.138402777778[/C][C]105.557916666667[/C][C]-0.419513888888887[/C][C]0.0915972222222194[/C][/ROW]
[ROW][C]57[/C][C]105.57[/C][C]105.806319444444[/C][C]105.652083333333[/C][C]0.15423611111112[/C][C]-0.236319444444447[/C][/ROW]
[ROW][C]58[/C][C]106.05[/C][C]106.131944444444[/C][C]105.741666666667[/C][C]0.390277777777785[/C][C]-0.0819444444444315[/C][/ROW]
[ROW][C]59[/C][C]106.09[/C][C]106.164861111111[/C][C]105.83125[/C][C]0.333611111111117[/C][C]-0.0748611111110904[/C][/ROW]
[ROW][C]60[/C][C]106.09[/C][C]106.152256944444[/C][C]105.917916666667[/C][C]0.234340277777781[/C][C]-0.0622569444444281[/C][/ROW]
[ROW][C]61[/C][C]106.19[/C][C]106.114861111111[/C][C]106.001666666667[/C][C]0.113194444444445[/C][C]0.0751388888888727[/C][/ROW]
[ROW][C]62[/C][C]106.2[/C][C]106.139652777778[/C][C]106.100833333333[/C][C]0.0388194444444411[/C][C]0.0603472222222337[/C][/ROW]
[ROW][C]63[/C][C]106.2[/C][C]106.224444444444[/C][C]106.215833333333[/C][C]0.00861111111109973[/C][C]-0.0244444444444269[/C][/ROW]
[ROW][C]64[/C][C]106.22[/C][C]106.263611111111[/C][C]106.34375[/C][C]-0.0801388888889013[/C][C]-0.0436111111110904[/C][/ROW]
[ROW][C]65[/C][C]106.22[/C][C]106.313715277778[/C][C]106.485416666667[/C][C]-0.171701388888893[/C][C]-0.0937152777777612[/C][/ROW]
[ROW][C]66[/C][C]106.23[/C][C]106.374548611111[/C][C]106.627916666667[/C][C]-0.253368055555560[/C][C]-0.144548611111091[/C][/ROW]
[ROW][C]67[/C][C]106.23[/C][C]NA[/C][C]NA[/C][C]-0.348368055555548[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]106.61[/C][C]NA[/C][C]NA[/C][C]-0.419513888888887[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]106.95[/C][C]NA[/C][C]NA[/C][C]0.15423611111112[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]107.74[/C][C]NA[/C][C]NA[/C][C]0.390277777777785[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]107.8[/C][C]NA[/C][C]NA[/C][C]0.333611111111117[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]107.8[/C][C]NA[/C][C]NA[/C][C]0.234340277777781[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13031&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13031&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	101.22	NA	NA	0.113194444444445	NA
2	101.25	NA	NA	0.0388194444444411	NA
3	101.25	NA	NA	0.00861111111109973	NA
4	101.26	NA	NA	-0.0801388888889013	NA
5	101.26	NA	NA	-0.171701388888893	NA
6	101.26	NA	NA	-0.253368055555560	NA
7	101.29	100.938298611111	101.286666666667	-0.348368055555548	0.351701388888898
8	101.31	100.875902777778	101.295416666667	-0.419513888888887	0.434097222222235
9	101.31	101.457152777778	101.302916666667	0.15423611111112	-0.147152777777762
10	101.31	101.700277777778	101.31	0.390277777777785	-0.390277777777754
11	101.32	101.650277777778	101.316666666667	0.333611111111117	-0.330277777777766
12	101.34	101.557673611111	101.323333333333	0.234340277777781	-0.217673611111081
13	101.34	101.441944444444	101.32875	0.113194444444445	-0.101944444444428
14	101.34	101.372986111111	101.334166666667	0.0388194444444411	-0.0329861111110858
15	101.34	101.381527777778	101.372916666667	0.00861111111109973	-0.0415277777777305
16	101.34	101.364861111111	101.445	-0.0801388888889013	-0.0248611111110932
17	101.34	101.351215277778	101.522916666667	-0.171701388888893	-0.011215277777751
18	101.34	101.351631944444	101.605	-0.253368055555560	-0.0116319444444315
19	101.34	101.338298611111	101.686666666667	-0.348368055555548	0.00170138888891813
20	101.39	101.348819444444	101.768333333333	-0.419513888888887	0.0411805555555702
21	102.16	102.005902777778	101.851666666667	0.15423611111112	0.154097222222248
22	102.19	102.326944444444	101.936666666667	0.390277777777785	-0.136944444444424
23	102.31	102.355694444444	102.022083333333	0.333611111111117	-0.0456944444444218
24	102.32	102.342256944444	102.107916666667	0.234340277777781	-0.0222569444444360
25	102.32	102.306944444444	102.19375	0.113194444444445	0.0130555555555532
26	102.32	102.316319444444	102.2775	0.0388194444444411	0.00368055555554747
27	102.36	102.380694444444	102.372083333333	0.00861111111109973	-0.0206944444444446
28	102.36	102.412777777778	102.492916666667	-0.0801388888889013	-0.0527777777777771
29	102.37	102.450798611111	102.6225	-0.171701388888893	-0.0807986111111205
30	102.37	102.493715277778	102.747083333333	-0.253368055555560	-0.123715277777791
31	102.37	102.522881944444	102.87125	-0.348368055555548	-0.152881944444445
32	102.37	102.577152777778	102.996666666667	-0.419513888888887	-0.207152777777779
33	103.45	103.278402777778	103.124166666667	0.15423611111112	0.171597222222218
34	103.8	103.643194444444	103.252916666667	0.390277777777785	0.156805555555550
35	103.81	103.715694444444	103.382083333333	0.333611111111117	0.0943055555555503
36	103.81	103.745590277778	103.51125	0.234340277777781	0.0644097222222229
37	103.81	103.754027777778	103.640833333333	0.113194444444445	0.0559722222222234
38	103.84	103.812569444444	103.77375	0.0388194444444411	0.0274305555555401
39	103.9	103.894444444444	103.885833333333	0.00861111111109973	0.00555555555555998
40	103.91	103.899861111111	103.98	-0.0801388888889013	0.0101388888888749
41	103.92	103.908298611111	104.08	-0.171701388888893	0.0117013888888948
42	103.92	103.926631944444	104.18	-0.253368055555560	-0.00663194444443604
43	103.93	103.931631944444	104.28	-0.348368055555548	-0.00163194444442638
44	104	103.959236111111	104.37875	-0.419513888888887	0.0407638888889039
45	104.51	104.632986111111	104.47875	0.15423611111112	-0.122986111111089
46	105	104.971527777778	104.58125	0.390277777777785	0.0284722222222342
47	105.01	105.017361111111	104.68375	0.333611111111117	-0.00736111111109494
48	105.01	105.023506944444	104.789166666667	0.234340277777781	-0.0135069444444156
49	105.01	105.010694444444	104.8975	0.113194444444445	-0.000694444444434339
50	105.01	105.041736111111	105.002916666667	0.0388194444444411	-0.031736111111087
51	105.13	105.106944444444	105.098333333333	0.00861111111109973	0.0230555555555583
52	105.14	105.106111111111	105.18625	-0.0801388888889013	0.0338888888888960
53	105.15	105.103298611111	105.275	-0.171701388888893	0.0467013888888914
54	105.22	105.111631944444	105.365	-0.253368055555560	0.108368055555559
55	105.23	105.110798611111	105.459166666667	-0.348368055555548	0.119201388888897
56	105.23	105.138402777778	105.557916666667	-0.419513888888887	0.0915972222222194
57	105.57	105.806319444444	105.652083333333	0.15423611111112	-0.236319444444447
58	106.05	106.131944444444	105.741666666667	0.390277777777785	-0.0819444444444315
59	106.09	106.164861111111	105.83125	0.333611111111117	-0.0748611111110904
60	106.09	106.152256944444	105.917916666667	0.234340277777781	-0.0622569444444281
61	106.19	106.114861111111	106.001666666667	0.113194444444445	0.0751388888888727
62	106.2	106.139652777778	106.100833333333	0.0388194444444411	0.0603472222222337
63	106.2	106.224444444444	106.215833333333	0.00861111111109973	-0.0244444444444269
64	106.22	106.263611111111	106.34375	-0.0801388888889013	-0.0436111111110904
65	106.22	106.313715277778	106.485416666667	-0.171701388888893	-0.0937152777777612
66	106.23	106.374548611111	106.627916666667	-0.253368055555560	-0.144548611111091
67	106.23	NA	NA	-0.348368055555548	NA
68	106.61	NA	NA	-0.419513888888887	NA
69	106.95	NA	NA	0.15423611111112	NA
70	107.74	NA	NA	0.390277777777785	NA
71	107.8	NA	NA	0.333611111111117	NA
72	107.8	NA	NA	0.234340277777781	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code