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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 27 May 2012 05:15:18 -0400

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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/May/27/t1338110171618i0jwkdwie151.htm/, Retrieved Wed, 08 May 2024 06:23:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167659, Retrieved Wed, 08 May 2024 06:23:56 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

137

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

-       [Classical Decomposition] [Classic deomposit...] [2012-05-27 09:15:18] [a2709f7ab86902c8a6d752383a828f6c] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167659&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167659&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167659&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	67.66	NA	NA	1.00038726225278	NA
2	68	NA	NA	0.999204372548067	NA
3	68.02	NA	NA	0.999428030827895	NA
4	68.11	NA	NA	0.998951414901055	NA
5	68.41	NA	NA	1.00049873023555	NA
6	68.4	NA	NA	1.00024967352954	NA
7	68.4	68.4203021243352	68.4741666666667	0.999213359651477	0.999703273389552
8	68.55	68.4853047328059	68.5683333333333	0.99878911158415	1.00094465911259
9	68.54	68.5516416835405	68.6570833333333	0.998464227656149	0.999830176444289
10	68.99	68.8589784804822	68.7525	1.00154872158077	1.00190275142631
11	68.97	68.9781601022125	68.8508333333333	1.00184931340283	0.999881700204812
12	68.98	69.0534597492204	68.9558333333333	1.00141578182973	0.998936190170816
13	68.98	69.087577987229	69.0608333333333	1.00038726225278	0.998442875110648
14	68.94	69.1045580702691	69.1595833333333	0.999204372548067	0.997618708883113
15	69.21	69.2174704167167	69.2570833333333	0.999428030827895	0.999892073248679
16	69.21	69.2910162053431	69.36375	0.998951414901055	0.998830783414938
17	69.67	69.5108999065277	69.47625	1.00049873023555	1.00228885101022
18	69.66	69.6090418637102	69.5916666666667	1.00024967352954	1.00073206202708
19	69.66	69.653497945705	69.7083333333333	0.999213359651477	1.00009334856808
20	69.66	69.7383689057142	69.8229166666667	0.99878911158415	0.998876244068454
21	69.77	69.822187413233	69.9295833333333	0.998464227656149	0.9992525669108
22	70.32	70.1334492286937	70.025	1.00154872158077	1.00265994006224
23	70.34	70.2379856138166	70.1083333333333	1.00184931340283	1.00145241047692
24	70.38	70.286870187174	70.1875	1.00141578182973	1.0013249958716
25	70.38	70.2963792624511	70.2691666666667	1.00038726225278	1.00118954544212
26	70.29	70.2965256196879	70.3525	0.999204372548067	0.999907170096525
27	70.42	70.3967954930936	70.4370833333333	0.999428030827895	1.00032962447713
28	70.29	70.4294045885741	70.5033333333333	0.998951414901055	0.998020647918459
29	70.59	70.591855409653	70.5566666666667	1.00049873023555	0.999973716377871
30	70.64	70.6355480911699	70.6179166666667	1.00024967352954	1.00006302646402
31	70.64	70.6264819546656	70.6820833333333	0.999213359651477	1.00019140193537
32	70.68	70.6643296445786	70.75	0.99878911158415	1.00022175764633
33	70.78	70.7041641476626	70.8129166666667	0.998464227656149	1.00107257971651
34	70.9	70.9864348899067	70.8766666666667	1.00154872158077	0.998782374547465
35	71.04	71.0716077300105	70.9404166666667	1.00184931340283	0.999555269241543
36	71.15	71.0925926349711	70.9920833333333	1.00141578182973	1.00080750135705
37	71.15	71.0687615945154	71.04125	1.00038726225278	1.00114309583651
38	71.15	71.0321898389764	71.08875	0.999204372548067	1.00165854609425
39	71.07	71.0901486894805	71.1308333333333	0.999428030827895	0.999716575505159
40	71.17	71.091209900946	71.1658333333333	0.998951414901055	1.0011082959365
41	71.24	71.2371770906549	71.2016666666667	1.00049873023555	1.00003962691196
42	71.23	71.2548693473636	71.2370833333333	1.00024967352954	0.99965098038083
43	71.23	71.2118544478615	71.2679166666667	0.999213359651477	1.00025481083563
44	71.23	71.215744466599	71.3020833333333	0.99878911158415	1.00020017390126
45	71.24	71.2337662150819	71.3433333333333	0.998464227656149	1.00008751165703
46	71.28	71.5018151695535	71.39125	1.00154872158077	0.99689776869262
47	71.52	71.5662708285032	71.4341666666667	1.00184931340283	0.99935345480535
48	71.52	71.5791138023101	71.4779166666667	1.00141578182973	0.999174147329159
49	71.52	71.5581176969674	71.5304166666667	1.00038726225278	0.999467318339355
50	71.6	71.5242979924564	71.58125	0.999204372548067	1.00105840965474
51	71.61	71.5881969915097	71.6291666666667	0.999428030827895	1.00030456149766
52	71.78	71.6164918532815	71.6916666666667	0.998951414901055	1.00228310745873
53	71.66	71.8078782413601	71.7720833333333	1.00049873023555	0.997940640428574
54	71.86	71.8746073742546	71.8566666666667	1.00024967352954	0.999796765856701
55	71.86	NA	NA	0.999213359651477	NA
56	71.82	NA	NA	0.99878911158415	NA
57	71.8	NA	NA	0.998464227656149	NA
58	72.22	NA	NA	1.00154872158077	NA
59	72.51	NA	NA	1.00184931340283	NA
60	72.56	NA	NA	1.00141578182973	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 67.66 & NA & NA & 1.00038726225278 & NA \tabularnewline
2 & 68 & NA & NA & 0.999204372548067 & NA \tabularnewline
3 & 68.02 & NA & NA & 0.999428030827895 & NA \tabularnewline
4 & 68.11 & NA & NA & 0.998951414901055 & NA \tabularnewline
5 & 68.41 & NA & NA & 1.00049873023555 & NA \tabularnewline
6 & 68.4 & NA & NA & 1.00024967352954 & NA \tabularnewline
7 & 68.4 & 68.4203021243352 & 68.4741666666667 & 0.999213359651477 & 0.999703273389552 \tabularnewline
8 & 68.55 & 68.4853047328059 & 68.5683333333333 & 0.99878911158415 & 1.00094465911259 \tabularnewline
9 & 68.54 & 68.5516416835405 & 68.6570833333333 & 0.998464227656149 & 0.999830176444289 \tabularnewline
10 & 68.99 & 68.8589784804822 & 68.7525 & 1.00154872158077 & 1.00190275142631 \tabularnewline
11 & 68.97 & 68.9781601022125 & 68.8508333333333 & 1.00184931340283 & 0.999881700204812 \tabularnewline
12 & 68.98 & 69.0534597492204 & 68.9558333333333 & 1.00141578182973 & 0.998936190170816 \tabularnewline
13 & 68.98 & 69.087577987229 & 69.0608333333333 & 1.00038726225278 & 0.998442875110648 \tabularnewline
14 & 68.94 & 69.1045580702691 & 69.1595833333333 & 0.999204372548067 & 0.997618708883113 \tabularnewline
15 & 69.21 & 69.2174704167167 & 69.2570833333333 & 0.999428030827895 & 0.999892073248679 \tabularnewline
16 & 69.21 & 69.2910162053431 & 69.36375 & 0.998951414901055 & 0.998830783414938 \tabularnewline
17 & 69.67 & 69.5108999065277 & 69.47625 & 1.00049873023555 & 1.00228885101022 \tabularnewline
18 & 69.66 & 69.6090418637102 & 69.5916666666667 & 1.00024967352954 & 1.00073206202708 \tabularnewline
19 & 69.66 & 69.653497945705 & 69.7083333333333 & 0.999213359651477 & 1.00009334856808 \tabularnewline
20 & 69.66 & 69.7383689057142 & 69.8229166666667 & 0.99878911158415 & 0.998876244068454 \tabularnewline
21 & 69.77 & 69.822187413233 & 69.9295833333333 & 0.998464227656149 & 0.9992525669108 \tabularnewline
22 & 70.32 & 70.1334492286937 & 70.025 & 1.00154872158077 & 1.00265994006224 \tabularnewline
23 & 70.34 & 70.2379856138166 & 70.1083333333333 & 1.00184931340283 & 1.00145241047692 \tabularnewline
24 & 70.38 & 70.286870187174 & 70.1875 & 1.00141578182973 & 1.0013249958716 \tabularnewline
25 & 70.38 & 70.2963792624511 & 70.2691666666667 & 1.00038726225278 & 1.00118954544212 \tabularnewline
26 & 70.29 & 70.2965256196879 & 70.3525 & 0.999204372548067 & 0.999907170096525 \tabularnewline
27 & 70.42 & 70.3967954930936 & 70.4370833333333 & 0.999428030827895 & 1.00032962447713 \tabularnewline
28 & 70.29 & 70.4294045885741 & 70.5033333333333 & 0.998951414901055 & 0.998020647918459 \tabularnewline
29 & 70.59 & 70.591855409653 & 70.5566666666667 & 1.00049873023555 & 0.999973716377871 \tabularnewline
30 & 70.64 & 70.6355480911699 & 70.6179166666667 & 1.00024967352954 & 1.00006302646402 \tabularnewline
31 & 70.64 & 70.6264819546656 & 70.6820833333333 & 0.999213359651477 & 1.00019140193537 \tabularnewline
32 & 70.68 & 70.6643296445786 & 70.75 & 0.99878911158415 & 1.00022175764633 \tabularnewline
33 & 70.78 & 70.7041641476626 & 70.8129166666667 & 0.998464227656149 & 1.00107257971651 \tabularnewline
34 & 70.9 & 70.9864348899067 & 70.8766666666667 & 1.00154872158077 & 0.998782374547465 \tabularnewline
35 & 71.04 & 71.0716077300105 & 70.9404166666667 & 1.00184931340283 & 0.999555269241543 \tabularnewline
36 & 71.15 & 71.0925926349711 & 70.9920833333333 & 1.00141578182973 & 1.00080750135705 \tabularnewline
37 & 71.15 & 71.0687615945154 & 71.04125 & 1.00038726225278 & 1.00114309583651 \tabularnewline
38 & 71.15 & 71.0321898389764 & 71.08875 & 0.999204372548067 & 1.00165854609425 \tabularnewline
39 & 71.07 & 71.0901486894805 & 71.1308333333333 & 0.999428030827895 & 0.999716575505159 \tabularnewline
40 & 71.17 & 71.091209900946 & 71.1658333333333 & 0.998951414901055 & 1.0011082959365 \tabularnewline
41 & 71.24 & 71.2371770906549 & 71.2016666666667 & 1.00049873023555 & 1.00003962691196 \tabularnewline
42 & 71.23 & 71.2548693473636 & 71.2370833333333 & 1.00024967352954 & 0.99965098038083 \tabularnewline
43 & 71.23 & 71.2118544478615 & 71.2679166666667 & 0.999213359651477 & 1.00025481083563 \tabularnewline
44 & 71.23 & 71.215744466599 & 71.3020833333333 & 0.99878911158415 & 1.00020017390126 \tabularnewline
45 & 71.24 & 71.2337662150819 & 71.3433333333333 & 0.998464227656149 & 1.00008751165703 \tabularnewline
46 & 71.28 & 71.5018151695535 & 71.39125 & 1.00154872158077 & 0.99689776869262 \tabularnewline
47 & 71.52 & 71.5662708285032 & 71.4341666666667 & 1.00184931340283 & 0.99935345480535 \tabularnewline
48 & 71.52 & 71.5791138023101 & 71.4779166666667 & 1.00141578182973 & 0.999174147329159 \tabularnewline
49 & 71.52 & 71.5581176969674 & 71.5304166666667 & 1.00038726225278 & 0.999467318339355 \tabularnewline
50 & 71.6 & 71.5242979924564 & 71.58125 & 0.999204372548067 & 1.00105840965474 \tabularnewline
51 & 71.61 & 71.5881969915097 & 71.6291666666667 & 0.999428030827895 & 1.00030456149766 \tabularnewline
52 & 71.78 & 71.6164918532815 & 71.6916666666667 & 0.998951414901055 & 1.00228310745873 \tabularnewline
53 & 71.66 & 71.8078782413601 & 71.7720833333333 & 1.00049873023555 & 0.997940640428574 \tabularnewline
54 & 71.86 & 71.8746073742546 & 71.8566666666667 & 1.00024967352954 & 0.999796765856701 \tabularnewline
55 & 71.86 & NA & NA & 0.999213359651477 & NA \tabularnewline
56 & 71.82 & NA & NA & 0.99878911158415 & NA \tabularnewline
57 & 71.8 & NA & NA & 0.998464227656149 & NA \tabularnewline
58 & 72.22 & NA & NA & 1.00154872158077 & NA \tabularnewline
59 & 72.51 & NA & NA & 1.00184931340283 & NA \tabularnewline
60 & 72.56 & NA & NA & 1.00141578182973 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167659&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]67.66[/C][C]NA[/C][C]NA[/C][C]1.00038726225278[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]68[/C][C]NA[/C][C]NA[/C][C]0.999204372548067[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]68.02[/C][C]NA[/C][C]NA[/C][C]0.999428030827895[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]68.11[/C][C]NA[/C][C]NA[/C][C]0.998951414901055[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]68.41[/C][C]NA[/C][C]NA[/C][C]1.00049873023555[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]68.4[/C][C]NA[/C][C]NA[/C][C]1.00024967352954[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]68.4[/C][C]68.4203021243352[/C][C]68.4741666666667[/C][C]0.999213359651477[/C][C]0.999703273389552[/C][/ROW]
[ROW][C]8[/C][C]68.55[/C][C]68.4853047328059[/C][C]68.5683333333333[/C][C]0.99878911158415[/C][C]1.00094465911259[/C][/ROW]
[ROW][C]9[/C][C]68.54[/C][C]68.5516416835405[/C][C]68.6570833333333[/C][C]0.998464227656149[/C][C]0.999830176444289[/C][/ROW]
[ROW][C]10[/C][C]68.99[/C][C]68.8589784804822[/C][C]68.7525[/C][C]1.00154872158077[/C][C]1.00190275142631[/C][/ROW]
[ROW][C]11[/C][C]68.97[/C][C]68.9781601022125[/C][C]68.8508333333333[/C][C]1.00184931340283[/C][C]0.999881700204812[/C][/ROW]
[ROW][C]12[/C][C]68.98[/C][C]69.0534597492204[/C][C]68.9558333333333[/C][C]1.00141578182973[/C][C]0.998936190170816[/C][/ROW]
[ROW][C]13[/C][C]68.98[/C][C]69.087577987229[/C][C]69.0608333333333[/C][C]1.00038726225278[/C][C]0.998442875110648[/C][/ROW]
[ROW][C]14[/C][C]68.94[/C][C]69.1045580702691[/C][C]69.1595833333333[/C][C]0.999204372548067[/C][C]0.997618708883113[/C][/ROW]
[ROW][C]15[/C][C]69.21[/C][C]69.2174704167167[/C][C]69.2570833333333[/C][C]0.999428030827895[/C][C]0.999892073248679[/C][/ROW]
[ROW][C]16[/C][C]69.21[/C][C]69.2910162053431[/C][C]69.36375[/C][C]0.998951414901055[/C][C]0.998830783414938[/C][/ROW]
[ROW][C]17[/C][C]69.67[/C][C]69.5108999065277[/C][C]69.47625[/C][C]1.00049873023555[/C][C]1.00228885101022[/C][/ROW]
[ROW][C]18[/C][C]69.66[/C][C]69.6090418637102[/C][C]69.5916666666667[/C][C]1.00024967352954[/C][C]1.00073206202708[/C][/ROW]
[ROW][C]19[/C][C]69.66[/C][C]69.653497945705[/C][C]69.7083333333333[/C][C]0.999213359651477[/C][C]1.00009334856808[/C][/ROW]
[ROW][C]20[/C][C]69.66[/C][C]69.7383689057142[/C][C]69.8229166666667[/C][C]0.99878911158415[/C][C]0.998876244068454[/C][/ROW]
[ROW][C]21[/C][C]69.77[/C][C]69.822187413233[/C][C]69.9295833333333[/C][C]0.998464227656149[/C][C]0.9992525669108[/C][/ROW]
[ROW][C]22[/C][C]70.32[/C][C]70.1334492286937[/C][C]70.025[/C][C]1.00154872158077[/C][C]1.00265994006224[/C][/ROW]
[ROW][C]23[/C][C]70.34[/C][C]70.2379856138166[/C][C]70.1083333333333[/C][C]1.00184931340283[/C][C]1.00145241047692[/C][/ROW]
[ROW][C]24[/C][C]70.38[/C][C]70.286870187174[/C][C]70.1875[/C][C]1.00141578182973[/C][C]1.0013249958716[/C][/ROW]
[ROW][C]25[/C][C]70.38[/C][C]70.2963792624511[/C][C]70.2691666666667[/C][C]1.00038726225278[/C][C]1.00118954544212[/C][/ROW]
[ROW][C]26[/C][C]70.29[/C][C]70.2965256196879[/C][C]70.3525[/C][C]0.999204372548067[/C][C]0.999907170096525[/C][/ROW]
[ROW][C]27[/C][C]70.42[/C][C]70.3967954930936[/C][C]70.4370833333333[/C][C]0.999428030827895[/C][C]1.00032962447713[/C][/ROW]
[ROW][C]28[/C][C]70.29[/C][C]70.4294045885741[/C][C]70.5033333333333[/C][C]0.998951414901055[/C][C]0.998020647918459[/C][/ROW]
[ROW][C]29[/C][C]70.59[/C][C]70.591855409653[/C][C]70.5566666666667[/C][C]1.00049873023555[/C][C]0.999973716377871[/C][/ROW]
[ROW][C]30[/C][C]70.64[/C][C]70.6355480911699[/C][C]70.6179166666667[/C][C]1.00024967352954[/C][C]1.00006302646402[/C][/ROW]
[ROW][C]31[/C][C]70.64[/C][C]70.6264819546656[/C][C]70.6820833333333[/C][C]0.999213359651477[/C][C]1.00019140193537[/C][/ROW]
[ROW][C]32[/C][C]70.68[/C][C]70.6643296445786[/C][C]70.75[/C][C]0.99878911158415[/C][C]1.00022175764633[/C][/ROW]
[ROW][C]33[/C][C]70.78[/C][C]70.7041641476626[/C][C]70.8129166666667[/C][C]0.998464227656149[/C][C]1.00107257971651[/C][/ROW]
[ROW][C]34[/C][C]70.9[/C][C]70.9864348899067[/C][C]70.8766666666667[/C][C]1.00154872158077[/C][C]0.998782374547465[/C][/ROW]
[ROW][C]35[/C][C]71.04[/C][C]71.0716077300105[/C][C]70.9404166666667[/C][C]1.00184931340283[/C][C]0.999555269241543[/C][/ROW]
[ROW][C]36[/C][C]71.15[/C][C]71.0925926349711[/C][C]70.9920833333333[/C][C]1.00141578182973[/C][C]1.00080750135705[/C][/ROW]
[ROW][C]37[/C][C]71.15[/C][C]71.0687615945154[/C][C]71.04125[/C][C]1.00038726225278[/C][C]1.00114309583651[/C][/ROW]
[ROW][C]38[/C][C]71.15[/C][C]71.0321898389764[/C][C]71.08875[/C][C]0.999204372548067[/C][C]1.00165854609425[/C][/ROW]
[ROW][C]39[/C][C]71.07[/C][C]71.0901486894805[/C][C]71.1308333333333[/C][C]0.999428030827895[/C][C]0.999716575505159[/C][/ROW]
[ROW][C]40[/C][C]71.17[/C][C]71.091209900946[/C][C]71.1658333333333[/C][C]0.998951414901055[/C][C]1.0011082959365[/C][/ROW]
[ROW][C]41[/C][C]71.24[/C][C]71.2371770906549[/C][C]71.2016666666667[/C][C]1.00049873023555[/C][C]1.00003962691196[/C][/ROW]
[ROW][C]42[/C][C]71.23[/C][C]71.2548693473636[/C][C]71.2370833333333[/C][C]1.00024967352954[/C][C]0.99965098038083[/C][/ROW]
[ROW][C]43[/C][C]71.23[/C][C]71.2118544478615[/C][C]71.2679166666667[/C][C]0.999213359651477[/C][C]1.00025481083563[/C][/ROW]
[ROW][C]44[/C][C]71.23[/C][C]71.215744466599[/C][C]71.3020833333333[/C][C]0.99878911158415[/C][C]1.00020017390126[/C][/ROW]
[ROW][C]45[/C][C]71.24[/C][C]71.2337662150819[/C][C]71.3433333333333[/C][C]0.998464227656149[/C][C]1.00008751165703[/C][/ROW]
[ROW][C]46[/C][C]71.28[/C][C]71.5018151695535[/C][C]71.39125[/C][C]1.00154872158077[/C][C]0.99689776869262[/C][/ROW]
[ROW][C]47[/C][C]71.52[/C][C]71.5662708285032[/C][C]71.4341666666667[/C][C]1.00184931340283[/C][C]0.99935345480535[/C][/ROW]
[ROW][C]48[/C][C]71.52[/C][C]71.5791138023101[/C][C]71.4779166666667[/C][C]1.00141578182973[/C][C]0.999174147329159[/C][/ROW]
[ROW][C]49[/C][C]71.52[/C][C]71.5581176969674[/C][C]71.5304166666667[/C][C]1.00038726225278[/C][C]0.999467318339355[/C][/ROW]
[ROW][C]50[/C][C]71.6[/C][C]71.5242979924564[/C][C]71.58125[/C][C]0.999204372548067[/C][C]1.00105840965474[/C][/ROW]
[ROW][C]51[/C][C]71.61[/C][C]71.5881969915097[/C][C]71.6291666666667[/C][C]0.999428030827895[/C][C]1.00030456149766[/C][/ROW]
[ROW][C]52[/C][C]71.78[/C][C]71.6164918532815[/C][C]71.6916666666667[/C][C]0.998951414901055[/C][C]1.00228310745873[/C][/ROW]
[ROW][C]53[/C][C]71.66[/C][C]71.8078782413601[/C][C]71.7720833333333[/C][C]1.00049873023555[/C][C]0.997940640428574[/C][/ROW]
[ROW][C]54[/C][C]71.86[/C][C]71.8746073742546[/C][C]71.8566666666667[/C][C]1.00024967352954[/C][C]0.999796765856701[/C][/ROW]
[ROW][C]55[/C][C]71.86[/C][C]NA[/C][C]NA[/C][C]0.999213359651477[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]71.82[/C][C]NA[/C][C]NA[/C][C]0.99878911158415[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]71.8[/C][C]NA[/C][C]NA[/C][C]0.998464227656149[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]72.22[/C][C]NA[/C][C]NA[/C][C]1.00154872158077[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]72.51[/C][C]NA[/C][C]NA[/C][C]1.00184931340283[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]72.56[/C][C]NA[/C][C]NA[/C][C]1.00141578182973[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167659&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167659&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	67.66	NA	NA	1.00038726225278	NA
2	68	NA	NA	0.999204372548067	NA
3	68.02	NA	NA	0.999428030827895	NA
4	68.11	NA	NA	0.998951414901055	NA
5	68.41	NA	NA	1.00049873023555	NA
6	68.4	NA	NA	1.00024967352954	NA
7	68.4	68.4203021243352	68.4741666666667	0.999213359651477	0.999703273389552
8	68.55	68.4853047328059	68.5683333333333	0.99878911158415	1.00094465911259
9	68.54	68.5516416835405	68.6570833333333	0.998464227656149	0.999830176444289
10	68.99	68.8589784804822	68.7525	1.00154872158077	1.00190275142631
11	68.97	68.9781601022125	68.8508333333333	1.00184931340283	0.999881700204812
12	68.98	69.0534597492204	68.9558333333333	1.00141578182973	0.998936190170816
13	68.98	69.087577987229	69.0608333333333	1.00038726225278	0.998442875110648
14	68.94	69.1045580702691	69.1595833333333	0.999204372548067	0.997618708883113
15	69.21	69.2174704167167	69.2570833333333	0.999428030827895	0.999892073248679
16	69.21	69.2910162053431	69.36375	0.998951414901055	0.998830783414938
17	69.67	69.5108999065277	69.47625	1.00049873023555	1.00228885101022
18	69.66	69.6090418637102	69.5916666666667	1.00024967352954	1.00073206202708
19	69.66	69.653497945705	69.7083333333333	0.999213359651477	1.00009334856808
20	69.66	69.7383689057142	69.8229166666667	0.99878911158415	0.998876244068454
21	69.77	69.822187413233	69.9295833333333	0.998464227656149	0.9992525669108
22	70.32	70.1334492286937	70.025	1.00154872158077	1.00265994006224
23	70.34	70.2379856138166	70.1083333333333	1.00184931340283	1.00145241047692
24	70.38	70.286870187174	70.1875	1.00141578182973	1.0013249958716
25	70.38	70.2963792624511	70.2691666666667	1.00038726225278	1.00118954544212
26	70.29	70.2965256196879	70.3525	0.999204372548067	0.999907170096525
27	70.42	70.3967954930936	70.4370833333333	0.999428030827895	1.00032962447713
28	70.29	70.4294045885741	70.5033333333333	0.998951414901055	0.998020647918459
29	70.59	70.591855409653	70.5566666666667	1.00049873023555	0.999973716377871
30	70.64	70.6355480911699	70.6179166666667	1.00024967352954	1.00006302646402
31	70.64	70.6264819546656	70.6820833333333	0.999213359651477	1.00019140193537
32	70.68	70.6643296445786	70.75	0.99878911158415	1.00022175764633
33	70.78	70.7041641476626	70.8129166666667	0.998464227656149	1.00107257971651
34	70.9	70.9864348899067	70.8766666666667	1.00154872158077	0.998782374547465
35	71.04	71.0716077300105	70.9404166666667	1.00184931340283	0.999555269241543
36	71.15	71.0925926349711	70.9920833333333	1.00141578182973	1.00080750135705
37	71.15	71.0687615945154	71.04125	1.00038726225278	1.00114309583651
38	71.15	71.0321898389764	71.08875	0.999204372548067	1.00165854609425
39	71.07	71.0901486894805	71.1308333333333	0.999428030827895	0.999716575505159
40	71.17	71.091209900946	71.1658333333333	0.998951414901055	1.0011082959365
41	71.24	71.2371770906549	71.2016666666667	1.00049873023555	1.00003962691196
42	71.23	71.2548693473636	71.2370833333333	1.00024967352954	0.99965098038083
43	71.23	71.2118544478615	71.2679166666667	0.999213359651477	1.00025481083563
44	71.23	71.215744466599	71.3020833333333	0.99878911158415	1.00020017390126
45	71.24	71.2337662150819	71.3433333333333	0.998464227656149	1.00008751165703
46	71.28	71.5018151695535	71.39125	1.00154872158077	0.99689776869262
47	71.52	71.5662708285032	71.4341666666667	1.00184931340283	0.99935345480535
48	71.52	71.5791138023101	71.4779166666667	1.00141578182973	0.999174147329159
49	71.52	71.5581176969674	71.5304166666667	1.00038726225278	0.999467318339355
50	71.6	71.5242979924564	71.58125	0.999204372548067	1.00105840965474
51	71.61	71.5881969915097	71.6291666666667	0.999428030827895	1.00030456149766
52	71.78	71.6164918532815	71.6916666666667	0.998951414901055	1.00228310745873
53	71.66	71.8078782413601	71.7720833333333	1.00049873023555	0.997940640428574
54	71.86	71.8746073742546	71.8566666666667	1.00024967352954	0.999796765856701
55	71.86	NA	NA	0.999213359651477	NA
56	71.82	NA	NA	0.99878911158415	NA
57	71.8	NA	NA	0.998464227656149	NA
58	72.22	NA	NA	1.00154872158077	NA
59	72.51	NA	NA	1.00184931340283	NA
60	72.56	NA	NA	1.00141578182973	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