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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 28 Nov 2012 09:34:41 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/28/t13541133730wrta1mryru4m1b.htm/, Retrieved Tue, 16 Apr 2024 11:09:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194159, Retrieved Tue, 16 Apr 2024 11:09:46 +0000

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

-       [Classical Decomposition] [Time Serie - Clas...] [2012-11-28 14:34:41] [64435dfec13c3cda39d1733fd4b6eb52] [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	'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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194159&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194159&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194159&T=0

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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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	54.3	NA	NA	0.917831067832151	NA
2	55.9	NA	NA	0.920742027775002	NA
3	63.9	NA	NA	0.978915585040379	NA
4	64	NA	NA	1.0435187098655	NA
5	60.7	NA	NA	1.05009832601402	NA
6	67.8	NA	NA	1.08468265762913	NA
7	70.5	73.9992775175432	67.5333333333333	1.0957444844651	0.952712004293371
8	76.6	74.5486418538372	69.2291666666667	1.07683864248697	1.02751704249938
9	76.2	71.7232145923051	70.4875	1.0175309748864	1.06241752315679
10	71.8	69.2498982443817	71.8291666666667	0.964091628206485	1.03682462819828
11	67.8	69.0968952444595	73.6833333333333	0.937754742064595	0.981230773975137
12	69.7	68.7685328056689	75.3833333333333	0.912251153734277	1.01354496244617
13	76.7	70.5467904512487	76.8625	0.917831067832151	1.08722167953202
14	74.2	71.9521530455007	78.1458333333333	0.920742027775002	1.03124085742198
15	75.8	76.9957895783634	78.6541666666667	0.978915585040379	0.984469415991294
16	84.3	82.0727465309213	78.65	1.0435187098655	1.02713755251555
17	84.9	82.7608743189798	78.8125	1.05009832601402	1.02584706479508
18	84.4	85.9565811060351	79.2458333333333	1.08468265762913	0.981891077029752
19	89.4	86.6505607110966	79.0791666666667	1.0957444844651	1.03173019616192
20	88.5	84.5901621950282	78.5541666666667	1.07683864248697	1.04622095174563
21	76.5	79.8083461302567	78.4333333333333	1.0175309748864	0.958546363999862
22	71.4	75.4642721978626	78.275	0.964091628206485	0.946143094215414
23	72.1	73.1057967667857	77.9583333333333	0.937754742064595	0.986241901309218
24	75.8	70.9807418534745	77.8083333333333	0.912251153734277	1.06789529132386
25	66.6	71.5181616647044	77.9208333333333	0.917831067832151	0.931231989885842
26	71.7	71.7948596157558	77.975	0.920742027775002	0.998678740842123
27	75.4	77.0651294323038	78.725	0.978915585040379	0.978393218248384
28	80.9	84.3163117571321	80.8	1.0435187098655	0.959482196434628
29	80.7	88.0463692265836	83.8458333333333	1.05009832601402	0.916562496658118
30	85	94.4713399684237	87.0958333333333	1.08468265762913	0.899743774444297
31	91.5	99.2242286703336	90.5541666666666	1.0957444844651	0.922153804833325
32	87.7	101.738817576633	94.4791666666666	1.07683864248697	0.862011197780448
33	95.3	100.404868946916	98.675	1.0175309748864	0.949157157412212
34	102.4	99.5143412731636	103.220833333333	0.964091628206485	1.0289974157485
35	114.2	101.867516168192	108.629166666667	0.937754742064595	1.12106394948755
36	111.7	105.000107794815	115.1	0.912251153734277	1.0638084316854
37	113.7	111.692392362941	121.691666666667	0.917831067832151	1.01797443491528
38	118.8	117.225805836221	127.316666666667	0.920742027775002	1.01342873399376
39	129	128.295045049417	131.058333333333	0.978915585040379	1.00549479483258
40	136.4	137.679249782879	131.9375	1.0435187098655	0.99070847796675
41	155	136.092743051417	129.6	1.05009832601402	1.1389292075731
42	166	135.92429553415	125.3125	1.08468265762913	1.22126805474812
43	168.7	132.055472786119	120.516666666667	1.0957444844651	1.27749343848271
44	145.5	124.303073964412	115.433333333333	1.07683864248697	1.17052616125693
45	127.3	111.763058454085	109.8375	1.0175309748864	1.13901678927566
46	91.5	100.161086073752	103.891666666667	0.964091628206485	0.913528432914808
47	69	91.3802923027695	97.4458333333333	0.937754742064595	0.755086225500165
48	54	82.7753890619639	90.7375	0.912251153734277	0.652367818646877
49	56.3	76.9065948921023	83.7916666666667	0.917831067832151	0.732056855188911
50	54.2	71.6529118864738	77.8208333333333	0.920742027775002	0.756424248129287
51	59.3	72.1868667668526	73.7416666666666	0.978915585040379	0.821479067536284
52	63.4	75.1637830726868	72.0291666666667	1.0435187098655	0.843491338623673
53	73.3	76.8934499223764	73.225	1.05009832601402	0.953267151805466
54	86.7	82.4720380684015	76.0333333333333	1.08468265762913	1.05126539892335
55	81.3	87.0066776685477	79.4041666666667	1.0957444844651	0.934411038078166
56	89.6	89.1532659425667	82.7916666666667	1.07683864248697	1.00501085465249
57	85.3	87.6602934864634	86.15	1.0175309748864	0.973074542730936
58	92.4	86.414746274908	89.6333333333333	0.964091628206485	1.06926194871939
59	96.8	86.6211869867916	92.3708333333333	0.937754742064595	1.11750950739985
60	93.6	85.4399226401628	93.6583333333333	0.912251153734277	1.09550660988077
61	97.6	86.7924003518778	94.5625	0.917831067832151	1.12452241906325
62	94.2	87.827280174388	95.3875	0.920742027775002	1.07255968547538
63	99.9	94.077866537318	96.1041666666667	0.978915585040379	1.06188632541292
64	106.4	101.225662851578	97.0041666666666	1.0435187098655	1.05111685122783
65	96	102.77399824893	97.8708333333333	1.05009832601402	0.934088404028781
66	94.9	107.546285503928	99.15	1.08468265762913	0.882410764400912
67	94.8	110.52409366638	100.866666666667	1.0957444844651	0.857731530340854
68	95.9	110.873998727064	102.9625	1.07683864248697	0.864945804255465
69	96.2	107.603900594237	105.75	1.0175309748864	0.894019635614886
70	103.1	105.045816989998	108.958333333333	0.964091628206485	0.981476492393947
71	106.9	105.309857533854	112.3	0.937754742064595	1.01509965451843
72	114.2	105.437228139313	115.579166666667	0.912251153734277	1.08310889820727
73	118.2	109.118641076895	118.8875	0.917831067832151	1.08322463360505
74	123.9	112.238453185773	121.9	0.920742027775002	1.10389974632781
75	137.1	121.919857301842	124.545833333333	0.978915585040379	1.12450919016889
76	146.2	132.39208831956	126.870833333333	1.0435187098655	1.10429559542192
77	136.4	135.379551271665	128.920833333333	1.05009832601402	1.0075376873298
78	133.2	141.754464818907	130.6875	1.08468265762913	0.939652942643921
79	135.9	NA	NA	1.0957444844651	NA
80	127.1	NA	NA	1.07683864248697	NA
81	128.5	NA	NA	1.0175309748864	NA
82	126.6	NA	NA	0.964091628206485	NA
83	132.6	NA	NA	0.937754742064595	NA
84	130.9	NA	NA	0.912251153734277	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 54.3 & NA & NA & 0.917831067832151 & NA \tabularnewline
2 & 55.9 & NA & NA & 0.920742027775002 & NA \tabularnewline
3 & 63.9 & NA & NA & 0.978915585040379 & NA \tabularnewline
4 & 64 & NA & NA & 1.0435187098655 & NA \tabularnewline
5 & 60.7 & NA & NA & 1.05009832601402 & NA \tabularnewline
6 & 67.8 & NA & NA & 1.08468265762913 & NA \tabularnewline
7 & 70.5 & 73.9992775175432 & 67.5333333333333 & 1.0957444844651 & 0.952712004293371 \tabularnewline
8 & 76.6 & 74.5486418538372 & 69.2291666666667 & 1.07683864248697 & 1.02751704249938 \tabularnewline
9 & 76.2 & 71.7232145923051 & 70.4875 & 1.0175309748864 & 1.06241752315679 \tabularnewline
10 & 71.8 & 69.2498982443817 & 71.8291666666667 & 0.964091628206485 & 1.03682462819828 \tabularnewline
11 & 67.8 & 69.0968952444595 & 73.6833333333333 & 0.937754742064595 & 0.981230773975137 \tabularnewline
12 & 69.7 & 68.7685328056689 & 75.3833333333333 & 0.912251153734277 & 1.01354496244617 \tabularnewline
13 & 76.7 & 70.5467904512487 & 76.8625 & 0.917831067832151 & 1.08722167953202 \tabularnewline
14 & 74.2 & 71.9521530455007 & 78.1458333333333 & 0.920742027775002 & 1.03124085742198 \tabularnewline
15 & 75.8 & 76.9957895783634 & 78.6541666666667 & 0.978915585040379 & 0.984469415991294 \tabularnewline
16 & 84.3 & 82.0727465309213 & 78.65 & 1.0435187098655 & 1.02713755251555 \tabularnewline
17 & 84.9 & 82.7608743189798 & 78.8125 & 1.05009832601402 & 1.02584706479508 \tabularnewline
18 & 84.4 & 85.9565811060351 & 79.2458333333333 & 1.08468265762913 & 0.981891077029752 \tabularnewline
19 & 89.4 & 86.6505607110966 & 79.0791666666667 & 1.0957444844651 & 1.03173019616192 \tabularnewline
20 & 88.5 & 84.5901621950282 & 78.5541666666667 & 1.07683864248697 & 1.04622095174563 \tabularnewline
21 & 76.5 & 79.8083461302567 & 78.4333333333333 & 1.0175309748864 & 0.958546363999862 \tabularnewline
22 & 71.4 & 75.4642721978626 & 78.275 & 0.964091628206485 & 0.946143094215414 \tabularnewline
23 & 72.1 & 73.1057967667857 & 77.9583333333333 & 0.937754742064595 & 0.986241901309218 \tabularnewline
24 & 75.8 & 70.9807418534745 & 77.8083333333333 & 0.912251153734277 & 1.06789529132386 \tabularnewline
25 & 66.6 & 71.5181616647044 & 77.9208333333333 & 0.917831067832151 & 0.931231989885842 \tabularnewline
26 & 71.7 & 71.7948596157558 & 77.975 & 0.920742027775002 & 0.998678740842123 \tabularnewline
27 & 75.4 & 77.0651294323038 & 78.725 & 0.978915585040379 & 0.978393218248384 \tabularnewline
28 & 80.9 & 84.3163117571321 & 80.8 & 1.0435187098655 & 0.959482196434628 \tabularnewline
29 & 80.7 & 88.0463692265836 & 83.8458333333333 & 1.05009832601402 & 0.916562496658118 \tabularnewline
30 & 85 & 94.4713399684237 & 87.0958333333333 & 1.08468265762913 & 0.899743774444297 \tabularnewline
31 & 91.5 & 99.2242286703336 & 90.5541666666666 & 1.0957444844651 & 0.922153804833325 \tabularnewline
32 & 87.7 & 101.738817576633 & 94.4791666666666 & 1.07683864248697 & 0.862011197780448 \tabularnewline
33 & 95.3 & 100.404868946916 & 98.675 & 1.0175309748864 & 0.949157157412212 \tabularnewline
34 & 102.4 & 99.5143412731636 & 103.220833333333 & 0.964091628206485 & 1.0289974157485 \tabularnewline
35 & 114.2 & 101.867516168192 & 108.629166666667 & 0.937754742064595 & 1.12106394948755 \tabularnewline
36 & 111.7 & 105.000107794815 & 115.1 & 0.912251153734277 & 1.0638084316854 \tabularnewline
37 & 113.7 & 111.692392362941 & 121.691666666667 & 0.917831067832151 & 1.01797443491528 \tabularnewline
38 & 118.8 & 117.225805836221 & 127.316666666667 & 0.920742027775002 & 1.01342873399376 \tabularnewline
39 & 129 & 128.295045049417 & 131.058333333333 & 0.978915585040379 & 1.00549479483258 \tabularnewline
40 & 136.4 & 137.679249782879 & 131.9375 & 1.0435187098655 & 0.99070847796675 \tabularnewline
41 & 155 & 136.092743051417 & 129.6 & 1.05009832601402 & 1.1389292075731 \tabularnewline
42 & 166 & 135.92429553415 & 125.3125 & 1.08468265762913 & 1.22126805474812 \tabularnewline
43 & 168.7 & 132.055472786119 & 120.516666666667 & 1.0957444844651 & 1.27749343848271 \tabularnewline
44 & 145.5 & 124.303073964412 & 115.433333333333 & 1.07683864248697 & 1.17052616125693 \tabularnewline
45 & 127.3 & 111.763058454085 & 109.8375 & 1.0175309748864 & 1.13901678927566 \tabularnewline
46 & 91.5 & 100.161086073752 & 103.891666666667 & 0.964091628206485 & 0.913528432914808 \tabularnewline
47 & 69 & 91.3802923027695 & 97.4458333333333 & 0.937754742064595 & 0.755086225500165 \tabularnewline
48 & 54 & 82.7753890619639 & 90.7375 & 0.912251153734277 & 0.652367818646877 \tabularnewline
49 & 56.3 & 76.9065948921023 & 83.7916666666667 & 0.917831067832151 & 0.732056855188911 \tabularnewline
50 & 54.2 & 71.6529118864738 & 77.8208333333333 & 0.920742027775002 & 0.756424248129287 \tabularnewline
51 & 59.3 & 72.1868667668526 & 73.7416666666666 & 0.978915585040379 & 0.821479067536284 \tabularnewline
52 & 63.4 & 75.1637830726868 & 72.0291666666667 & 1.0435187098655 & 0.843491338623673 \tabularnewline
53 & 73.3 & 76.8934499223764 & 73.225 & 1.05009832601402 & 0.953267151805466 \tabularnewline
54 & 86.7 & 82.4720380684015 & 76.0333333333333 & 1.08468265762913 & 1.05126539892335 \tabularnewline
55 & 81.3 & 87.0066776685477 & 79.4041666666667 & 1.0957444844651 & 0.934411038078166 \tabularnewline
56 & 89.6 & 89.1532659425667 & 82.7916666666667 & 1.07683864248697 & 1.00501085465249 \tabularnewline
57 & 85.3 & 87.6602934864634 & 86.15 & 1.0175309748864 & 0.973074542730936 \tabularnewline
58 & 92.4 & 86.414746274908 & 89.6333333333333 & 0.964091628206485 & 1.06926194871939 \tabularnewline
59 & 96.8 & 86.6211869867916 & 92.3708333333333 & 0.937754742064595 & 1.11750950739985 \tabularnewline
60 & 93.6 & 85.4399226401628 & 93.6583333333333 & 0.912251153734277 & 1.09550660988077 \tabularnewline
61 & 97.6 & 86.7924003518778 & 94.5625 & 0.917831067832151 & 1.12452241906325 \tabularnewline
62 & 94.2 & 87.827280174388 & 95.3875 & 0.920742027775002 & 1.07255968547538 \tabularnewline
63 & 99.9 & 94.077866537318 & 96.1041666666667 & 0.978915585040379 & 1.06188632541292 \tabularnewline
64 & 106.4 & 101.225662851578 & 97.0041666666666 & 1.0435187098655 & 1.05111685122783 \tabularnewline
65 & 96 & 102.77399824893 & 97.8708333333333 & 1.05009832601402 & 0.934088404028781 \tabularnewline
66 & 94.9 & 107.546285503928 & 99.15 & 1.08468265762913 & 0.882410764400912 \tabularnewline
67 & 94.8 & 110.52409366638 & 100.866666666667 & 1.0957444844651 & 0.857731530340854 \tabularnewline
68 & 95.9 & 110.873998727064 & 102.9625 & 1.07683864248697 & 0.864945804255465 \tabularnewline
69 & 96.2 & 107.603900594237 & 105.75 & 1.0175309748864 & 0.894019635614886 \tabularnewline
70 & 103.1 & 105.045816989998 & 108.958333333333 & 0.964091628206485 & 0.981476492393947 \tabularnewline
71 & 106.9 & 105.309857533854 & 112.3 & 0.937754742064595 & 1.01509965451843 \tabularnewline
72 & 114.2 & 105.437228139313 & 115.579166666667 & 0.912251153734277 & 1.08310889820727 \tabularnewline
73 & 118.2 & 109.118641076895 & 118.8875 & 0.917831067832151 & 1.08322463360505 \tabularnewline
74 & 123.9 & 112.238453185773 & 121.9 & 0.920742027775002 & 1.10389974632781 \tabularnewline
75 & 137.1 & 121.919857301842 & 124.545833333333 & 0.978915585040379 & 1.12450919016889 \tabularnewline
76 & 146.2 & 132.39208831956 & 126.870833333333 & 1.0435187098655 & 1.10429559542192 \tabularnewline
77 & 136.4 & 135.379551271665 & 128.920833333333 & 1.05009832601402 & 1.0075376873298 \tabularnewline
78 & 133.2 & 141.754464818907 & 130.6875 & 1.08468265762913 & 0.939652942643921 \tabularnewline
79 & 135.9 & NA & NA & 1.0957444844651 & NA \tabularnewline
80 & 127.1 & NA & NA & 1.07683864248697 & NA \tabularnewline
81 & 128.5 & NA & NA & 1.0175309748864 & NA \tabularnewline
82 & 126.6 & NA & NA & 0.964091628206485 & NA \tabularnewline
83 & 132.6 & NA & NA & 0.937754742064595 & NA \tabularnewline
84 & 130.9 & NA & NA & 0.912251153734277 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194159&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]54.3[/C][C]NA[/C][C]NA[/C][C]0.917831067832151[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]55.9[/C][C]NA[/C][C]NA[/C][C]0.920742027775002[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]63.9[/C][C]NA[/C][C]NA[/C][C]0.978915585040379[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]64[/C][C]NA[/C][C]NA[/C][C]1.0435187098655[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]60.7[/C][C]NA[/C][C]NA[/C][C]1.05009832601402[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]67.8[/C][C]NA[/C][C]NA[/C][C]1.08468265762913[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]70.5[/C][C]73.9992775175432[/C][C]67.5333333333333[/C][C]1.0957444844651[/C][C]0.952712004293371[/C][/ROW]
[ROW][C]8[/C][C]76.6[/C][C]74.5486418538372[/C][C]69.2291666666667[/C][C]1.07683864248697[/C][C]1.02751704249938[/C][/ROW]
[ROW][C]9[/C][C]76.2[/C][C]71.7232145923051[/C][C]70.4875[/C][C]1.0175309748864[/C][C]1.06241752315679[/C][/ROW]
[ROW][C]10[/C][C]71.8[/C][C]69.2498982443817[/C][C]71.8291666666667[/C][C]0.964091628206485[/C][C]1.03682462819828[/C][/ROW]
[ROW][C]11[/C][C]67.8[/C][C]69.0968952444595[/C][C]73.6833333333333[/C][C]0.937754742064595[/C][C]0.981230773975137[/C][/ROW]
[ROW][C]12[/C][C]69.7[/C][C]68.7685328056689[/C][C]75.3833333333333[/C][C]0.912251153734277[/C][C]1.01354496244617[/C][/ROW]
[ROW][C]13[/C][C]76.7[/C][C]70.5467904512487[/C][C]76.8625[/C][C]0.917831067832151[/C][C]1.08722167953202[/C][/ROW]
[ROW][C]14[/C][C]74.2[/C][C]71.9521530455007[/C][C]78.1458333333333[/C][C]0.920742027775002[/C][C]1.03124085742198[/C][/ROW]
[ROW][C]15[/C][C]75.8[/C][C]76.9957895783634[/C][C]78.6541666666667[/C][C]0.978915585040379[/C][C]0.984469415991294[/C][/ROW]
[ROW][C]16[/C][C]84.3[/C][C]82.0727465309213[/C][C]78.65[/C][C]1.0435187098655[/C][C]1.02713755251555[/C][/ROW]
[ROW][C]17[/C][C]84.9[/C][C]82.7608743189798[/C][C]78.8125[/C][C]1.05009832601402[/C][C]1.02584706479508[/C][/ROW]
[ROW][C]18[/C][C]84.4[/C][C]85.9565811060351[/C][C]79.2458333333333[/C][C]1.08468265762913[/C][C]0.981891077029752[/C][/ROW]
[ROW][C]19[/C][C]89.4[/C][C]86.6505607110966[/C][C]79.0791666666667[/C][C]1.0957444844651[/C][C]1.03173019616192[/C][/ROW]
[ROW][C]20[/C][C]88.5[/C][C]84.5901621950282[/C][C]78.5541666666667[/C][C]1.07683864248697[/C][C]1.04622095174563[/C][/ROW]
[ROW][C]21[/C][C]76.5[/C][C]79.8083461302567[/C][C]78.4333333333333[/C][C]1.0175309748864[/C][C]0.958546363999862[/C][/ROW]
[ROW][C]22[/C][C]71.4[/C][C]75.4642721978626[/C][C]78.275[/C][C]0.964091628206485[/C][C]0.946143094215414[/C][/ROW]
[ROW][C]23[/C][C]72.1[/C][C]73.1057967667857[/C][C]77.9583333333333[/C][C]0.937754742064595[/C][C]0.986241901309218[/C][/ROW]
[ROW][C]24[/C][C]75.8[/C][C]70.9807418534745[/C][C]77.8083333333333[/C][C]0.912251153734277[/C][C]1.06789529132386[/C][/ROW]
[ROW][C]25[/C][C]66.6[/C][C]71.5181616647044[/C][C]77.9208333333333[/C][C]0.917831067832151[/C][C]0.931231989885842[/C][/ROW]
[ROW][C]26[/C][C]71.7[/C][C]71.7948596157558[/C][C]77.975[/C][C]0.920742027775002[/C][C]0.998678740842123[/C][/ROW]
[ROW][C]27[/C][C]75.4[/C][C]77.0651294323038[/C][C]78.725[/C][C]0.978915585040379[/C][C]0.978393218248384[/C][/ROW]
[ROW][C]28[/C][C]80.9[/C][C]84.3163117571321[/C][C]80.8[/C][C]1.0435187098655[/C][C]0.959482196434628[/C][/ROW]
[ROW][C]29[/C][C]80.7[/C][C]88.0463692265836[/C][C]83.8458333333333[/C][C]1.05009832601402[/C][C]0.916562496658118[/C][/ROW]
[ROW][C]30[/C][C]85[/C][C]94.4713399684237[/C][C]87.0958333333333[/C][C]1.08468265762913[/C][C]0.899743774444297[/C][/ROW]
[ROW][C]31[/C][C]91.5[/C][C]99.2242286703336[/C][C]90.5541666666666[/C][C]1.0957444844651[/C][C]0.922153804833325[/C][/ROW]
[ROW][C]32[/C][C]87.7[/C][C]101.738817576633[/C][C]94.4791666666666[/C][C]1.07683864248697[/C][C]0.862011197780448[/C][/ROW]
[ROW][C]33[/C][C]95.3[/C][C]100.404868946916[/C][C]98.675[/C][C]1.0175309748864[/C][C]0.949157157412212[/C][/ROW]
[ROW][C]34[/C][C]102.4[/C][C]99.5143412731636[/C][C]103.220833333333[/C][C]0.964091628206485[/C][C]1.0289974157485[/C][/ROW]
[ROW][C]35[/C][C]114.2[/C][C]101.867516168192[/C][C]108.629166666667[/C][C]0.937754742064595[/C][C]1.12106394948755[/C][/ROW]
[ROW][C]36[/C][C]111.7[/C][C]105.000107794815[/C][C]115.1[/C][C]0.912251153734277[/C][C]1.0638084316854[/C][/ROW]
[ROW][C]37[/C][C]113.7[/C][C]111.692392362941[/C][C]121.691666666667[/C][C]0.917831067832151[/C][C]1.01797443491528[/C][/ROW]
[ROW][C]38[/C][C]118.8[/C][C]117.225805836221[/C][C]127.316666666667[/C][C]0.920742027775002[/C][C]1.01342873399376[/C][/ROW]
[ROW][C]39[/C][C]129[/C][C]128.295045049417[/C][C]131.058333333333[/C][C]0.978915585040379[/C][C]1.00549479483258[/C][/ROW]
[ROW][C]40[/C][C]136.4[/C][C]137.679249782879[/C][C]131.9375[/C][C]1.0435187098655[/C][C]0.99070847796675[/C][/ROW]
[ROW][C]41[/C][C]155[/C][C]136.092743051417[/C][C]129.6[/C][C]1.05009832601402[/C][C]1.1389292075731[/C][/ROW]
[ROW][C]42[/C][C]166[/C][C]135.92429553415[/C][C]125.3125[/C][C]1.08468265762913[/C][C]1.22126805474812[/C][/ROW]
[ROW][C]43[/C][C]168.7[/C][C]132.055472786119[/C][C]120.516666666667[/C][C]1.0957444844651[/C][C]1.27749343848271[/C][/ROW]
[ROW][C]44[/C][C]145.5[/C][C]124.303073964412[/C][C]115.433333333333[/C][C]1.07683864248697[/C][C]1.17052616125693[/C][/ROW]
[ROW][C]45[/C][C]127.3[/C][C]111.763058454085[/C][C]109.8375[/C][C]1.0175309748864[/C][C]1.13901678927566[/C][/ROW]
[ROW][C]46[/C][C]91.5[/C][C]100.161086073752[/C][C]103.891666666667[/C][C]0.964091628206485[/C][C]0.913528432914808[/C][/ROW]
[ROW][C]47[/C][C]69[/C][C]91.3802923027695[/C][C]97.4458333333333[/C][C]0.937754742064595[/C][C]0.755086225500165[/C][/ROW]
[ROW][C]48[/C][C]54[/C][C]82.7753890619639[/C][C]90.7375[/C][C]0.912251153734277[/C][C]0.652367818646877[/C][/ROW]
[ROW][C]49[/C][C]56.3[/C][C]76.9065948921023[/C][C]83.7916666666667[/C][C]0.917831067832151[/C][C]0.732056855188911[/C][/ROW]
[ROW][C]50[/C][C]54.2[/C][C]71.6529118864738[/C][C]77.8208333333333[/C][C]0.920742027775002[/C][C]0.756424248129287[/C][/ROW]
[ROW][C]51[/C][C]59.3[/C][C]72.1868667668526[/C][C]73.7416666666666[/C][C]0.978915585040379[/C][C]0.821479067536284[/C][/ROW]
[ROW][C]52[/C][C]63.4[/C][C]75.1637830726868[/C][C]72.0291666666667[/C][C]1.0435187098655[/C][C]0.843491338623673[/C][/ROW]
[ROW][C]53[/C][C]73.3[/C][C]76.8934499223764[/C][C]73.225[/C][C]1.05009832601402[/C][C]0.953267151805466[/C][/ROW]
[ROW][C]54[/C][C]86.7[/C][C]82.4720380684015[/C][C]76.0333333333333[/C][C]1.08468265762913[/C][C]1.05126539892335[/C][/ROW]
[ROW][C]55[/C][C]81.3[/C][C]87.0066776685477[/C][C]79.4041666666667[/C][C]1.0957444844651[/C][C]0.934411038078166[/C][/ROW]
[ROW][C]56[/C][C]89.6[/C][C]89.1532659425667[/C][C]82.7916666666667[/C][C]1.07683864248697[/C][C]1.00501085465249[/C][/ROW]
[ROW][C]57[/C][C]85.3[/C][C]87.6602934864634[/C][C]86.15[/C][C]1.0175309748864[/C][C]0.973074542730936[/C][/ROW]
[ROW][C]58[/C][C]92.4[/C][C]86.414746274908[/C][C]89.6333333333333[/C][C]0.964091628206485[/C][C]1.06926194871939[/C][/ROW]
[ROW][C]59[/C][C]96.8[/C][C]86.6211869867916[/C][C]92.3708333333333[/C][C]0.937754742064595[/C][C]1.11750950739985[/C][/ROW]
[ROW][C]60[/C][C]93.6[/C][C]85.4399226401628[/C][C]93.6583333333333[/C][C]0.912251153734277[/C][C]1.09550660988077[/C][/ROW]
[ROW][C]61[/C][C]97.6[/C][C]86.7924003518778[/C][C]94.5625[/C][C]0.917831067832151[/C][C]1.12452241906325[/C][/ROW]
[ROW][C]62[/C][C]94.2[/C][C]87.827280174388[/C][C]95.3875[/C][C]0.920742027775002[/C][C]1.07255968547538[/C][/ROW]
[ROW][C]63[/C][C]99.9[/C][C]94.077866537318[/C][C]96.1041666666667[/C][C]0.978915585040379[/C][C]1.06188632541292[/C][/ROW]
[ROW][C]64[/C][C]106.4[/C][C]101.225662851578[/C][C]97.0041666666666[/C][C]1.0435187098655[/C][C]1.05111685122783[/C][/ROW]
[ROW][C]65[/C][C]96[/C][C]102.77399824893[/C][C]97.8708333333333[/C][C]1.05009832601402[/C][C]0.934088404028781[/C][/ROW]
[ROW][C]66[/C][C]94.9[/C][C]107.546285503928[/C][C]99.15[/C][C]1.08468265762913[/C][C]0.882410764400912[/C][/ROW]
[ROW][C]67[/C][C]94.8[/C][C]110.52409366638[/C][C]100.866666666667[/C][C]1.0957444844651[/C][C]0.857731530340854[/C][/ROW]
[ROW][C]68[/C][C]95.9[/C][C]110.873998727064[/C][C]102.9625[/C][C]1.07683864248697[/C][C]0.864945804255465[/C][/ROW]
[ROW][C]69[/C][C]96.2[/C][C]107.603900594237[/C][C]105.75[/C][C]1.0175309748864[/C][C]0.894019635614886[/C][/ROW]
[ROW][C]70[/C][C]103.1[/C][C]105.045816989998[/C][C]108.958333333333[/C][C]0.964091628206485[/C][C]0.981476492393947[/C][/ROW]
[ROW][C]71[/C][C]106.9[/C][C]105.309857533854[/C][C]112.3[/C][C]0.937754742064595[/C][C]1.01509965451843[/C][/ROW]
[ROW][C]72[/C][C]114.2[/C][C]105.437228139313[/C][C]115.579166666667[/C][C]0.912251153734277[/C][C]1.08310889820727[/C][/ROW]
[ROW][C]73[/C][C]118.2[/C][C]109.118641076895[/C][C]118.8875[/C][C]0.917831067832151[/C][C]1.08322463360505[/C][/ROW]
[ROW][C]74[/C][C]123.9[/C][C]112.238453185773[/C][C]121.9[/C][C]0.920742027775002[/C][C]1.10389974632781[/C][/ROW]
[ROW][C]75[/C][C]137.1[/C][C]121.919857301842[/C][C]124.545833333333[/C][C]0.978915585040379[/C][C]1.12450919016889[/C][/ROW]
[ROW][C]76[/C][C]146.2[/C][C]132.39208831956[/C][C]126.870833333333[/C][C]1.0435187098655[/C][C]1.10429559542192[/C][/ROW]
[ROW][C]77[/C][C]136.4[/C][C]135.379551271665[/C][C]128.920833333333[/C][C]1.05009832601402[/C][C]1.0075376873298[/C][/ROW]
[ROW][C]78[/C][C]133.2[/C][C]141.754464818907[/C][C]130.6875[/C][C]1.08468265762913[/C][C]0.939652942643921[/C][/ROW]
[ROW][C]79[/C][C]135.9[/C][C]NA[/C][C]NA[/C][C]1.0957444844651[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]127.1[/C][C]NA[/C][C]NA[/C][C]1.07683864248697[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]128.5[/C][C]NA[/C][C]NA[/C][C]1.0175309748864[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]126.6[/C][C]NA[/C][C]NA[/C][C]0.964091628206485[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]132.6[/C][C]NA[/C][C]NA[/C][C]0.937754742064595[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]130.9[/C][C]NA[/C][C]NA[/C][C]0.912251153734277[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194159&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194159&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	54.3	NA	NA	0.917831067832151	NA
2	55.9	NA	NA	0.920742027775002	NA
3	63.9	NA	NA	0.978915585040379	NA
4	64	NA	NA	1.0435187098655	NA
5	60.7	NA	NA	1.05009832601402	NA
6	67.8	NA	NA	1.08468265762913	NA
7	70.5	73.9992775175432	67.5333333333333	1.0957444844651	0.952712004293371
8	76.6	74.5486418538372	69.2291666666667	1.07683864248697	1.02751704249938
9	76.2	71.7232145923051	70.4875	1.0175309748864	1.06241752315679
10	71.8	69.2498982443817	71.8291666666667	0.964091628206485	1.03682462819828
11	67.8	69.0968952444595	73.6833333333333	0.937754742064595	0.981230773975137
12	69.7	68.7685328056689	75.3833333333333	0.912251153734277	1.01354496244617
13	76.7	70.5467904512487	76.8625	0.917831067832151	1.08722167953202
14	74.2	71.9521530455007	78.1458333333333	0.920742027775002	1.03124085742198
15	75.8	76.9957895783634	78.6541666666667	0.978915585040379	0.984469415991294
16	84.3	82.0727465309213	78.65	1.0435187098655	1.02713755251555
17	84.9	82.7608743189798	78.8125	1.05009832601402	1.02584706479508
18	84.4	85.9565811060351	79.2458333333333	1.08468265762913	0.981891077029752
19	89.4	86.6505607110966	79.0791666666667	1.0957444844651	1.03173019616192
20	88.5	84.5901621950282	78.5541666666667	1.07683864248697	1.04622095174563
21	76.5	79.8083461302567	78.4333333333333	1.0175309748864	0.958546363999862
22	71.4	75.4642721978626	78.275	0.964091628206485	0.946143094215414
23	72.1	73.1057967667857	77.9583333333333	0.937754742064595	0.986241901309218
24	75.8	70.9807418534745	77.8083333333333	0.912251153734277	1.06789529132386
25	66.6	71.5181616647044	77.9208333333333	0.917831067832151	0.931231989885842
26	71.7	71.7948596157558	77.975	0.920742027775002	0.998678740842123
27	75.4	77.0651294323038	78.725	0.978915585040379	0.978393218248384
28	80.9	84.3163117571321	80.8	1.0435187098655	0.959482196434628
29	80.7	88.0463692265836	83.8458333333333	1.05009832601402	0.916562496658118
30	85	94.4713399684237	87.0958333333333	1.08468265762913	0.899743774444297
31	91.5	99.2242286703336	90.5541666666666	1.0957444844651	0.922153804833325
32	87.7	101.738817576633	94.4791666666666	1.07683864248697	0.862011197780448
33	95.3	100.404868946916	98.675	1.0175309748864	0.949157157412212
34	102.4	99.5143412731636	103.220833333333	0.964091628206485	1.0289974157485
35	114.2	101.867516168192	108.629166666667	0.937754742064595	1.12106394948755
36	111.7	105.000107794815	115.1	0.912251153734277	1.0638084316854
37	113.7	111.692392362941	121.691666666667	0.917831067832151	1.01797443491528
38	118.8	117.225805836221	127.316666666667	0.920742027775002	1.01342873399376
39	129	128.295045049417	131.058333333333	0.978915585040379	1.00549479483258
40	136.4	137.679249782879	131.9375	1.0435187098655	0.99070847796675
41	155	136.092743051417	129.6	1.05009832601402	1.1389292075731
42	166	135.92429553415	125.3125	1.08468265762913	1.22126805474812
43	168.7	132.055472786119	120.516666666667	1.0957444844651	1.27749343848271
44	145.5	124.303073964412	115.433333333333	1.07683864248697	1.17052616125693
45	127.3	111.763058454085	109.8375	1.0175309748864	1.13901678927566
46	91.5	100.161086073752	103.891666666667	0.964091628206485	0.913528432914808
47	69	91.3802923027695	97.4458333333333	0.937754742064595	0.755086225500165
48	54	82.7753890619639	90.7375	0.912251153734277	0.652367818646877
49	56.3	76.9065948921023	83.7916666666667	0.917831067832151	0.732056855188911
50	54.2	71.6529118864738	77.8208333333333	0.920742027775002	0.756424248129287
51	59.3	72.1868667668526	73.7416666666666	0.978915585040379	0.821479067536284
52	63.4	75.1637830726868	72.0291666666667	1.0435187098655	0.843491338623673
53	73.3	76.8934499223764	73.225	1.05009832601402	0.953267151805466
54	86.7	82.4720380684015	76.0333333333333	1.08468265762913	1.05126539892335
55	81.3	87.0066776685477	79.4041666666667	1.0957444844651	0.934411038078166
56	89.6	89.1532659425667	82.7916666666667	1.07683864248697	1.00501085465249
57	85.3	87.6602934864634	86.15	1.0175309748864	0.973074542730936
58	92.4	86.414746274908	89.6333333333333	0.964091628206485	1.06926194871939
59	96.8	86.6211869867916	92.3708333333333	0.937754742064595	1.11750950739985
60	93.6	85.4399226401628	93.6583333333333	0.912251153734277	1.09550660988077
61	97.6	86.7924003518778	94.5625	0.917831067832151	1.12452241906325
62	94.2	87.827280174388	95.3875	0.920742027775002	1.07255968547538
63	99.9	94.077866537318	96.1041666666667	0.978915585040379	1.06188632541292
64	106.4	101.225662851578	97.0041666666666	1.0435187098655	1.05111685122783
65	96	102.77399824893	97.8708333333333	1.05009832601402	0.934088404028781
66	94.9	107.546285503928	99.15	1.08468265762913	0.882410764400912
67	94.8	110.52409366638	100.866666666667	1.0957444844651	0.857731530340854
68	95.9	110.873998727064	102.9625	1.07683864248697	0.864945804255465
69	96.2	107.603900594237	105.75	1.0175309748864	0.894019635614886
70	103.1	105.045816989998	108.958333333333	0.964091628206485	0.981476492393947
71	106.9	105.309857533854	112.3	0.937754742064595	1.01509965451843
72	114.2	105.437228139313	115.579166666667	0.912251153734277	1.08310889820727
73	118.2	109.118641076895	118.8875	0.917831067832151	1.08322463360505
74	123.9	112.238453185773	121.9	0.920742027775002	1.10389974632781
75	137.1	121.919857301842	124.545833333333	0.978915585040379	1.12450919016889
76	146.2	132.39208831956	126.870833333333	1.0435187098655	1.10429559542192
77	136.4	135.379551271665	128.920833333333	1.05009832601402	1.0075376873298
78	133.2	141.754464818907	130.6875	1.08468265762913	0.939652942643921
79	135.9	NA	NA	1.0957444844651	NA
80	127.1	NA	NA	1.07683864248697	NA
81	128.5	NA	NA	1.0175309748864	NA
82	126.6	NA	NA	0.964091628206485	NA
83	132.6	NA	NA	0.937754742064595	NA
84	130.9	NA	NA	0.912251153734277	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