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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 28 May 2012 12:39:41 -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/28/t133822322887k63h8r7zocfm2.htm/, Retrieved Thu, 02 May 2024 01:23:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167837, Retrieved Thu, 02 May 2024 01:23:16 +0000

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User-defined keywords

KDGP2W92

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

-       [Classical Decomposition] [Classical Deompos...] [2012-05-28 16:39:41] [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	'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167837&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167837&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167837&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	15.579	NA	NA	1.02272365896648	NA
2	16.348	NA	NA	1.04921072867795	NA
3	15.928	NA	NA	1.03142279622572	NA
4	16.171	NA	NA	0.990391690930254	NA
5	15.937	NA	NA	1.00874040597535	NA
6	15.713	NA	NA	1.00521341831971	NA
7	15.594	16.1391535180581	16.4809583333333	0.979260622570475	0.966221678389261
8	15.683	16.0100861460319	16.79825	0.953080597445086	0.979569994624109
9	16.438	16.6152943313429	17.13075	0.969910501953676	0.989329449854615
10	17.032	17.1202297900956	17.4054583333333	0.983612695639764	0.994846459937902
11	17.696	17.5837658620511	17.6103333333333	0.998491370334717	1.00638282713893
12	17.745	17.9678173954177	17.82625	1.00794151296081	0.987599083933562
13	19.394	18.4981732736699	18.0871666666667	1.02272365896648	1.04842784814894
14	20.148	19.2386776579485	18.3363333333333	1.04921072867795	1.04726532447909
15	20.108	19.1033683924451	18.521375	1.03142279622572	1.0525892390764
16	18.584	18.5355931589643	18.7154166666667	0.990391690930254	1.00261156147638
17	18.441	19.0517858317048	18.8867083333333	1.00874040597535	0.967940756992536
18	18.391	19.1277454143891	19.0285416666667	1.00521341831971	0.96148289312577
19	19.178	18.7702227982752	19.16775	0.979260622570475	1.02172468628141
20	18.079	18.4623228115666	19.3712083333333	0.953080597445086	0.979237563145282
21	18.483	19.0419699942934	19.6327083333333	0.969910501953676	0.970645369441242
22	19.644	19.559302388246	19.8851666666667	0.983612695639764	1.00433029819125
23	19.195	20.1346200866067	20.1650416666667	0.998491370334717	0.953333110703604
24	19.65	20.613831857192	20.4514166666667	1.00794151296081	0.953243440430233
25	20.83	21.1543996834348	20.684375	1.02272365896648	0.984665143502568
26	23.595	21.9467779828937	20.9174166666667	1.04921072867795	1.07510086530201
27	22.937	21.8736840712077	21.2072916666667	1.03142279622572	1.04861165249214
28	21.814	21.2760895004092	21.4825	0.990391690930254	1.02528239503695
29	21.928	22.0132795402474	21.8225416666667	1.00874040597535	0.996125995670408
30	21.777	22.3740821488526	22.2580416666667	1.00521341831971	0.973313669589649
31	21.383	22.1922490438477	22.66225	0.979260622570475	0.963534608761427
32	21.467	21.8577915750394	22.9338333333333	0.953080597445086	0.982121177535354
33	22.052	22.471735180952	23.168875	0.969910501953676	0.981321639046915
34	22.68	23.1665789979179	23.5525416666667	0.983612695639764	0.978996510535216
35	24.32	24.1193495227699	24.1557916666667	0.998491370334717	1.00831906669127
36	24.977	25.1634698588819	24.9652083333333	1.00794151296081	0.992589660331918
37	25.204	26.3607449233468	25.7750416666667	1.02272365896648	0.956118655724242
38	25.739	27.8105107256789	26.506125	1.04921072867795	0.925513387865756
39	26.434	28.1130184212761	27.2565416666667	1.03142279622572	0.940276124174365
40	27.525	27.7225077503537	27.9914583333333	0.990391690930254	0.992875545310246
41	30.695	28.9213439946179	28.67075	1.00874040597535	1.06132688735738
42	32.436	29.5236207027591	29.3705	1.00521341831971	1.09864573612303
43	30.16	29.4343709780677	30.05775	0.979260622570475	1.02465243855467
44	30.236	29.2077505840781	30.645625	0.953080597445086	1.03520467668203
45	31.293	30.239546326411	31.1776666666667	0.969910501953676	1.03483695364401
46	31.077	31.1405222021578	31.6593333333333	0.983612695639764	0.997960143322406
47	32.226	31.9671172593369	32.0154166666667	0.998491370334717	1.00809840745297
48	33.865	32.4781434160015	32.22225	1.00794151296081	1.04270122729107
49	32.81	33.2447830988218	32.506125	1.02272365896648	0.986921764611026
50	32.242	34.7340337386562	33.1049166666667	1.04921072867795	0.928253834339927
51	32.7	34.9861191036753	33.92025	1.03142279622572	0.93465639624387
52	32.819	34.3523547947227	34.685625	0.990391690930254	0.955363910163206
53	33.947	35.7058797801066	35.3965	1.00874040597535	0.950739771966448
54	34.148	36.2239545103541	36.0360833333333	1.00521341831971	0.942691113148326
55	35.261	NA	NA	0.979260622570475	NA
56	39.506	NA	NA	0.953080597445086	NA
57	41.591	NA	NA	0.969910501953676	NA
58	39.148	NA	NA	0.983612695639764	NA
59	41.216	NA	NA	0.998491370334717	NA
60	40.225	NA	NA	1.00794151296081	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 15.579 & NA & NA & 1.02272365896648 & NA \tabularnewline
2 & 16.348 & NA & NA & 1.04921072867795 & NA \tabularnewline
3 & 15.928 & NA & NA & 1.03142279622572 & NA \tabularnewline
4 & 16.171 & NA & NA & 0.990391690930254 & NA \tabularnewline
5 & 15.937 & NA & NA & 1.00874040597535 & NA \tabularnewline
6 & 15.713 & NA & NA & 1.00521341831971 & NA \tabularnewline
7 & 15.594 & 16.1391535180581 & 16.4809583333333 & 0.979260622570475 & 0.966221678389261 \tabularnewline
8 & 15.683 & 16.0100861460319 & 16.79825 & 0.953080597445086 & 0.979569994624109 \tabularnewline
9 & 16.438 & 16.6152943313429 & 17.13075 & 0.969910501953676 & 0.989329449854615 \tabularnewline
10 & 17.032 & 17.1202297900956 & 17.4054583333333 & 0.983612695639764 & 0.994846459937902 \tabularnewline
11 & 17.696 & 17.5837658620511 & 17.6103333333333 & 0.998491370334717 & 1.00638282713893 \tabularnewline
12 & 17.745 & 17.9678173954177 & 17.82625 & 1.00794151296081 & 0.987599083933562 \tabularnewline
13 & 19.394 & 18.4981732736699 & 18.0871666666667 & 1.02272365896648 & 1.04842784814894 \tabularnewline
14 & 20.148 & 19.2386776579485 & 18.3363333333333 & 1.04921072867795 & 1.04726532447909 \tabularnewline
15 & 20.108 & 19.1033683924451 & 18.521375 & 1.03142279622572 & 1.0525892390764 \tabularnewline
16 & 18.584 & 18.5355931589643 & 18.7154166666667 & 0.990391690930254 & 1.00261156147638 \tabularnewline
17 & 18.441 & 19.0517858317048 & 18.8867083333333 & 1.00874040597535 & 0.967940756992536 \tabularnewline
18 & 18.391 & 19.1277454143891 & 19.0285416666667 & 1.00521341831971 & 0.96148289312577 \tabularnewline
19 & 19.178 & 18.7702227982752 & 19.16775 & 0.979260622570475 & 1.02172468628141 \tabularnewline
20 & 18.079 & 18.4623228115666 & 19.3712083333333 & 0.953080597445086 & 0.979237563145282 \tabularnewline
21 & 18.483 & 19.0419699942934 & 19.6327083333333 & 0.969910501953676 & 0.970645369441242 \tabularnewline
22 & 19.644 & 19.559302388246 & 19.8851666666667 & 0.983612695639764 & 1.00433029819125 \tabularnewline
23 & 19.195 & 20.1346200866067 & 20.1650416666667 & 0.998491370334717 & 0.953333110703604 \tabularnewline
24 & 19.65 & 20.613831857192 & 20.4514166666667 & 1.00794151296081 & 0.953243440430233 \tabularnewline
25 & 20.83 & 21.1543996834348 & 20.684375 & 1.02272365896648 & 0.984665143502568 \tabularnewline
26 & 23.595 & 21.9467779828937 & 20.9174166666667 & 1.04921072867795 & 1.07510086530201 \tabularnewline
27 & 22.937 & 21.8736840712077 & 21.2072916666667 & 1.03142279622572 & 1.04861165249214 \tabularnewline
28 & 21.814 & 21.2760895004092 & 21.4825 & 0.990391690930254 & 1.02528239503695 \tabularnewline
29 & 21.928 & 22.0132795402474 & 21.8225416666667 & 1.00874040597535 & 0.996125995670408 \tabularnewline
30 & 21.777 & 22.3740821488526 & 22.2580416666667 & 1.00521341831971 & 0.973313669589649 \tabularnewline
31 & 21.383 & 22.1922490438477 & 22.66225 & 0.979260622570475 & 0.963534608761427 \tabularnewline
32 & 21.467 & 21.8577915750394 & 22.9338333333333 & 0.953080597445086 & 0.982121177535354 \tabularnewline
33 & 22.052 & 22.471735180952 & 23.168875 & 0.969910501953676 & 0.981321639046915 \tabularnewline
34 & 22.68 & 23.1665789979179 & 23.5525416666667 & 0.983612695639764 & 0.978996510535216 \tabularnewline
35 & 24.32 & 24.1193495227699 & 24.1557916666667 & 0.998491370334717 & 1.00831906669127 \tabularnewline
36 & 24.977 & 25.1634698588819 & 24.9652083333333 & 1.00794151296081 & 0.992589660331918 \tabularnewline
37 & 25.204 & 26.3607449233468 & 25.7750416666667 & 1.02272365896648 & 0.956118655724242 \tabularnewline
38 & 25.739 & 27.8105107256789 & 26.506125 & 1.04921072867795 & 0.925513387865756 \tabularnewline
39 & 26.434 & 28.1130184212761 & 27.2565416666667 & 1.03142279622572 & 0.940276124174365 \tabularnewline
40 & 27.525 & 27.7225077503537 & 27.9914583333333 & 0.990391690930254 & 0.992875545310246 \tabularnewline
41 & 30.695 & 28.9213439946179 & 28.67075 & 1.00874040597535 & 1.06132688735738 \tabularnewline
42 & 32.436 & 29.5236207027591 & 29.3705 & 1.00521341831971 & 1.09864573612303 \tabularnewline
43 & 30.16 & 29.4343709780677 & 30.05775 & 0.979260622570475 & 1.02465243855467 \tabularnewline
44 & 30.236 & 29.2077505840781 & 30.645625 & 0.953080597445086 & 1.03520467668203 \tabularnewline
45 & 31.293 & 30.239546326411 & 31.1776666666667 & 0.969910501953676 & 1.03483695364401 \tabularnewline
46 & 31.077 & 31.1405222021578 & 31.6593333333333 & 0.983612695639764 & 0.997960143322406 \tabularnewline
47 & 32.226 & 31.9671172593369 & 32.0154166666667 & 0.998491370334717 & 1.00809840745297 \tabularnewline
48 & 33.865 & 32.4781434160015 & 32.22225 & 1.00794151296081 & 1.04270122729107 \tabularnewline
49 & 32.81 & 33.2447830988218 & 32.506125 & 1.02272365896648 & 0.986921764611026 \tabularnewline
50 & 32.242 & 34.7340337386562 & 33.1049166666667 & 1.04921072867795 & 0.928253834339927 \tabularnewline
51 & 32.7 & 34.9861191036753 & 33.92025 & 1.03142279622572 & 0.93465639624387 \tabularnewline
52 & 32.819 & 34.3523547947227 & 34.685625 & 0.990391690930254 & 0.955363910163206 \tabularnewline
53 & 33.947 & 35.7058797801066 & 35.3965 & 1.00874040597535 & 0.950739771966448 \tabularnewline
54 & 34.148 & 36.2239545103541 & 36.0360833333333 & 1.00521341831971 & 0.942691113148326 \tabularnewline
55 & 35.261 & NA & NA & 0.979260622570475 & NA \tabularnewline
56 & 39.506 & NA & NA & 0.953080597445086 & NA \tabularnewline
57 & 41.591 & NA & NA & 0.969910501953676 & NA \tabularnewline
58 & 39.148 & NA & NA & 0.983612695639764 & NA \tabularnewline
59 & 41.216 & NA & NA & 0.998491370334717 & NA \tabularnewline
60 & 40.225 & NA & NA & 1.00794151296081 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167837&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]15.579[/C][C]NA[/C][C]NA[/C][C]1.02272365896648[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]16.348[/C][C]NA[/C][C]NA[/C][C]1.04921072867795[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15.928[/C][C]NA[/C][C]NA[/C][C]1.03142279622572[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16.171[/C][C]NA[/C][C]NA[/C][C]0.990391690930254[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]15.937[/C][C]NA[/C][C]NA[/C][C]1.00874040597535[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15.713[/C][C]NA[/C][C]NA[/C][C]1.00521341831971[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]15.594[/C][C]16.1391535180581[/C][C]16.4809583333333[/C][C]0.979260622570475[/C][C]0.966221678389261[/C][/ROW]
[ROW][C]8[/C][C]15.683[/C][C]16.0100861460319[/C][C]16.79825[/C][C]0.953080597445086[/C][C]0.979569994624109[/C][/ROW]
[ROW][C]9[/C][C]16.438[/C][C]16.6152943313429[/C][C]17.13075[/C][C]0.969910501953676[/C][C]0.989329449854615[/C][/ROW]
[ROW][C]10[/C][C]17.032[/C][C]17.1202297900956[/C][C]17.4054583333333[/C][C]0.983612695639764[/C][C]0.994846459937902[/C][/ROW]
[ROW][C]11[/C][C]17.696[/C][C]17.5837658620511[/C][C]17.6103333333333[/C][C]0.998491370334717[/C][C]1.00638282713893[/C][/ROW]
[ROW][C]12[/C][C]17.745[/C][C]17.9678173954177[/C][C]17.82625[/C][C]1.00794151296081[/C][C]0.987599083933562[/C][/ROW]
[ROW][C]13[/C][C]19.394[/C][C]18.4981732736699[/C][C]18.0871666666667[/C][C]1.02272365896648[/C][C]1.04842784814894[/C][/ROW]
[ROW][C]14[/C][C]20.148[/C][C]19.2386776579485[/C][C]18.3363333333333[/C][C]1.04921072867795[/C][C]1.04726532447909[/C][/ROW]
[ROW][C]15[/C][C]20.108[/C][C]19.1033683924451[/C][C]18.521375[/C][C]1.03142279622572[/C][C]1.0525892390764[/C][/ROW]
[ROW][C]16[/C][C]18.584[/C][C]18.5355931589643[/C][C]18.7154166666667[/C][C]0.990391690930254[/C][C]1.00261156147638[/C][/ROW]
[ROW][C]17[/C][C]18.441[/C][C]19.0517858317048[/C][C]18.8867083333333[/C][C]1.00874040597535[/C][C]0.967940756992536[/C][/ROW]
[ROW][C]18[/C][C]18.391[/C][C]19.1277454143891[/C][C]19.0285416666667[/C][C]1.00521341831971[/C][C]0.96148289312577[/C][/ROW]
[ROW][C]19[/C][C]19.178[/C][C]18.7702227982752[/C][C]19.16775[/C][C]0.979260622570475[/C][C]1.02172468628141[/C][/ROW]
[ROW][C]20[/C][C]18.079[/C][C]18.4623228115666[/C][C]19.3712083333333[/C][C]0.953080597445086[/C][C]0.979237563145282[/C][/ROW]
[ROW][C]21[/C][C]18.483[/C][C]19.0419699942934[/C][C]19.6327083333333[/C][C]0.969910501953676[/C][C]0.970645369441242[/C][/ROW]
[ROW][C]22[/C][C]19.644[/C][C]19.559302388246[/C][C]19.8851666666667[/C][C]0.983612695639764[/C][C]1.00433029819125[/C][/ROW]
[ROW][C]23[/C][C]19.195[/C][C]20.1346200866067[/C][C]20.1650416666667[/C][C]0.998491370334717[/C][C]0.953333110703604[/C][/ROW]
[ROW][C]24[/C][C]19.65[/C][C]20.613831857192[/C][C]20.4514166666667[/C][C]1.00794151296081[/C][C]0.953243440430233[/C][/ROW]
[ROW][C]25[/C][C]20.83[/C][C]21.1543996834348[/C][C]20.684375[/C][C]1.02272365896648[/C][C]0.984665143502568[/C][/ROW]
[ROW][C]26[/C][C]23.595[/C][C]21.9467779828937[/C][C]20.9174166666667[/C][C]1.04921072867795[/C][C]1.07510086530201[/C][/ROW]
[ROW][C]27[/C][C]22.937[/C][C]21.8736840712077[/C][C]21.2072916666667[/C][C]1.03142279622572[/C][C]1.04861165249214[/C][/ROW]
[ROW][C]28[/C][C]21.814[/C][C]21.2760895004092[/C][C]21.4825[/C][C]0.990391690930254[/C][C]1.02528239503695[/C][/ROW]
[ROW][C]29[/C][C]21.928[/C][C]22.0132795402474[/C][C]21.8225416666667[/C][C]1.00874040597535[/C][C]0.996125995670408[/C][/ROW]
[ROW][C]30[/C][C]21.777[/C][C]22.3740821488526[/C][C]22.2580416666667[/C][C]1.00521341831971[/C][C]0.973313669589649[/C][/ROW]
[ROW][C]31[/C][C]21.383[/C][C]22.1922490438477[/C][C]22.66225[/C][C]0.979260622570475[/C][C]0.963534608761427[/C][/ROW]
[ROW][C]32[/C][C]21.467[/C][C]21.8577915750394[/C][C]22.9338333333333[/C][C]0.953080597445086[/C][C]0.982121177535354[/C][/ROW]
[ROW][C]33[/C][C]22.052[/C][C]22.471735180952[/C][C]23.168875[/C][C]0.969910501953676[/C][C]0.981321639046915[/C][/ROW]
[ROW][C]34[/C][C]22.68[/C][C]23.1665789979179[/C][C]23.5525416666667[/C][C]0.983612695639764[/C][C]0.978996510535216[/C][/ROW]
[ROW][C]35[/C][C]24.32[/C][C]24.1193495227699[/C][C]24.1557916666667[/C][C]0.998491370334717[/C][C]1.00831906669127[/C][/ROW]
[ROW][C]36[/C][C]24.977[/C][C]25.1634698588819[/C][C]24.9652083333333[/C][C]1.00794151296081[/C][C]0.992589660331918[/C][/ROW]
[ROW][C]37[/C][C]25.204[/C][C]26.3607449233468[/C][C]25.7750416666667[/C][C]1.02272365896648[/C][C]0.956118655724242[/C][/ROW]
[ROW][C]38[/C][C]25.739[/C][C]27.8105107256789[/C][C]26.506125[/C][C]1.04921072867795[/C][C]0.925513387865756[/C][/ROW]
[ROW][C]39[/C][C]26.434[/C][C]28.1130184212761[/C][C]27.2565416666667[/C][C]1.03142279622572[/C][C]0.940276124174365[/C][/ROW]
[ROW][C]40[/C][C]27.525[/C][C]27.7225077503537[/C][C]27.9914583333333[/C][C]0.990391690930254[/C][C]0.992875545310246[/C][/ROW]
[ROW][C]41[/C][C]30.695[/C][C]28.9213439946179[/C][C]28.67075[/C][C]1.00874040597535[/C][C]1.06132688735738[/C][/ROW]
[ROW][C]42[/C][C]32.436[/C][C]29.5236207027591[/C][C]29.3705[/C][C]1.00521341831971[/C][C]1.09864573612303[/C][/ROW]
[ROW][C]43[/C][C]30.16[/C][C]29.4343709780677[/C][C]30.05775[/C][C]0.979260622570475[/C][C]1.02465243855467[/C][/ROW]
[ROW][C]44[/C][C]30.236[/C][C]29.2077505840781[/C][C]30.645625[/C][C]0.953080597445086[/C][C]1.03520467668203[/C][/ROW]
[ROW][C]45[/C][C]31.293[/C][C]30.239546326411[/C][C]31.1776666666667[/C][C]0.969910501953676[/C][C]1.03483695364401[/C][/ROW]
[ROW][C]46[/C][C]31.077[/C][C]31.1405222021578[/C][C]31.6593333333333[/C][C]0.983612695639764[/C][C]0.997960143322406[/C][/ROW]
[ROW][C]47[/C][C]32.226[/C][C]31.9671172593369[/C][C]32.0154166666667[/C][C]0.998491370334717[/C][C]1.00809840745297[/C][/ROW]
[ROW][C]48[/C][C]33.865[/C][C]32.4781434160015[/C][C]32.22225[/C][C]1.00794151296081[/C][C]1.04270122729107[/C][/ROW]
[ROW][C]49[/C][C]32.81[/C][C]33.2447830988218[/C][C]32.506125[/C][C]1.02272365896648[/C][C]0.986921764611026[/C][/ROW]
[ROW][C]50[/C][C]32.242[/C][C]34.7340337386562[/C][C]33.1049166666667[/C][C]1.04921072867795[/C][C]0.928253834339927[/C][/ROW]
[ROW][C]51[/C][C]32.7[/C][C]34.9861191036753[/C][C]33.92025[/C][C]1.03142279622572[/C][C]0.93465639624387[/C][/ROW]
[ROW][C]52[/C][C]32.819[/C][C]34.3523547947227[/C][C]34.685625[/C][C]0.990391690930254[/C][C]0.955363910163206[/C][/ROW]
[ROW][C]53[/C][C]33.947[/C][C]35.7058797801066[/C][C]35.3965[/C][C]1.00874040597535[/C][C]0.950739771966448[/C][/ROW]
[ROW][C]54[/C][C]34.148[/C][C]36.2239545103541[/C][C]36.0360833333333[/C][C]1.00521341831971[/C][C]0.942691113148326[/C][/ROW]
[ROW][C]55[/C][C]35.261[/C][C]NA[/C][C]NA[/C][C]0.979260622570475[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]39.506[/C][C]NA[/C][C]NA[/C][C]0.953080597445086[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]41.591[/C][C]NA[/C][C]NA[/C][C]0.969910501953676[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]39.148[/C][C]NA[/C][C]NA[/C][C]0.983612695639764[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]41.216[/C][C]NA[/C][C]NA[/C][C]0.998491370334717[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]40.225[/C][C]NA[/C][C]NA[/C][C]1.00794151296081[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167837&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167837&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	15.579	NA	NA	1.02272365896648	NA
2	16.348	NA	NA	1.04921072867795	NA
3	15.928	NA	NA	1.03142279622572	NA
4	16.171	NA	NA	0.990391690930254	NA
5	15.937	NA	NA	1.00874040597535	NA
6	15.713	NA	NA	1.00521341831971	NA
7	15.594	16.1391535180581	16.4809583333333	0.979260622570475	0.966221678389261
8	15.683	16.0100861460319	16.79825	0.953080597445086	0.979569994624109
9	16.438	16.6152943313429	17.13075	0.969910501953676	0.989329449854615
10	17.032	17.1202297900956	17.4054583333333	0.983612695639764	0.994846459937902
11	17.696	17.5837658620511	17.6103333333333	0.998491370334717	1.00638282713893
12	17.745	17.9678173954177	17.82625	1.00794151296081	0.987599083933562
13	19.394	18.4981732736699	18.0871666666667	1.02272365896648	1.04842784814894
14	20.148	19.2386776579485	18.3363333333333	1.04921072867795	1.04726532447909
15	20.108	19.1033683924451	18.521375	1.03142279622572	1.0525892390764
16	18.584	18.5355931589643	18.7154166666667	0.990391690930254	1.00261156147638
17	18.441	19.0517858317048	18.8867083333333	1.00874040597535	0.967940756992536
18	18.391	19.1277454143891	19.0285416666667	1.00521341831971	0.96148289312577
19	19.178	18.7702227982752	19.16775	0.979260622570475	1.02172468628141
20	18.079	18.4623228115666	19.3712083333333	0.953080597445086	0.979237563145282
21	18.483	19.0419699942934	19.6327083333333	0.969910501953676	0.970645369441242
22	19.644	19.559302388246	19.8851666666667	0.983612695639764	1.00433029819125
23	19.195	20.1346200866067	20.1650416666667	0.998491370334717	0.953333110703604
24	19.65	20.613831857192	20.4514166666667	1.00794151296081	0.953243440430233
25	20.83	21.1543996834348	20.684375	1.02272365896648	0.984665143502568
26	23.595	21.9467779828937	20.9174166666667	1.04921072867795	1.07510086530201
27	22.937	21.8736840712077	21.2072916666667	1.03142279622572	1.04861165249214
28	21.814	21.2760895004092	21.4825	0.990391690930254	1.02528239503695
29	21.928	22.0132795402474	21.8225416666667	1.00874040597535	0.996125995670408
30	21.777	22.3740821488526	22.2580416666667	1.00521341831971	0.973313669589649
31	21.383	22.1922490438477	22.66225	0.979260622570475	0.963534608761427
32	21.467	21.8577915750394	22.9338333333333	0.953080597445086	0.982121177535354
33	22.052	22.471735180952	23.168875	0.969910501953676	0.981321639046915
34	22.68	23.1665789979179	23.5525416666667	0.983612695639764	0.978996510535216
35	24.32	24.1193495227699	24.1557916666667	0.998491370334717	1.00831906669127
36	24.977	25.1634698588819	24.9652083333333	1.00794151296081	0.992589660331918
37	25.204	26.3607449233468	25.7750416666667	1.02272365896648	0.956118655724242
38	25.739	27.8105107256789	26.506125	1.04921072867795	0.925513387865756
39	26.434	28.1130184212761	27.2565416666667	1.03142279622572	0.940276124174365
40	27.525	27.7225077503537	27.9914583333333	0.990391690930254	0.992875545310246
41	30.695	28.9213439946179	28.67075	1.00874040597535	1.06132688735738
42	32.436	29.5236207027591	29.3705	1.00521341831971	1.09864573612303
43	30.16	29.4343709780677	30.05775	0.979260622570475	1.02465243855467
44	30.236	29.2077505840781	30.645625	0.953080597445086	1.03520467668203
45	31.293	30.239546326411	31.1776666666667	0.969910501953676	1.03483695364401
46	31.077	31.1405222021578	31.6593333333333	0.983612695639764	0.997960143322406
47	32.226	31.9671172593369	32.0154166666667	0.998491370334717	1.00809840745297
48	33.865	32.4781434160015	32.22225	1.00794151296081	1.04270122729107
49	32.81	33.2447830988218	32.506125	1.02272365896648	0.986921764611026
50	32.242	34.7340337386562	33.1049166666667	1.04921072867795	0.928253834339927
51	32.7	34.9861191036753	33.92025	1.03142279622572	0.93465639624387
52	32.819	34.3523547947227	34.685625	0.990391690930254	0.955363910163206
53	33.947	35.7058797801066	35.3965	1.00874040597535	0.950739771966448
54	34.148	36.2239545103541	36.0360833333333	1.00521341831971	0.942691113148326
55	35.261	NA	NA	0.979260622570475	NA
56	39.506	NA	NA	0.953080597445086	NA
57	41.591	NA	NA	0.969910501953676	NA
58	39.148	NA	NA	0.983612695639764	NA
59	41.216	NA	NA	0.998491370334717	NA
60	40.225	NA	NA	1.00794151296081	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