| paper | | *The author of this computation has been verified* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Sat, 11 Dec 2010 18:31:55 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0.htm/, Retrieved Sat, 11 Dec 2010 19:33:52 +0100 | | | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0.htm/},
year = {2010},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2010},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 12,5621
13,5117
15,3397
16,8622
25,2609
10,0871
12,2961
13,3181
14,2754
14,4211
13,6932
13,9921
15,5698
17,0353
13,4664
15,2809
16,5182
17,55
16,4063
15,6204
15,9458
14,6527
16,3643
16,0591
13,354
13,5542
12,5971
13,1823
13,3266
13,1959
13,2715
12,113
13,4537
10,9201
10,967
12,124
17,1334
15,5932
16,5556
14,2471
14,3177
15,8494
16,361
16,0926
16,5866
16,5044
16,8312
16,6387
14,3945
19,6245
19,6288
15,9543
16,7469
14,1022
12,9999
15,5888
13,8889
22,9635
25,9843
24,7658
15,834
16,8708
14,0299
13,311
17,3363
16,9726
15,9808
14,6359
16,2415
16,7716
18,1138
16,923
15,2454
14,1948
14,7886
14,2537
13,822
14,8679
16,1721
14,3985
15,6683
15,5001
15,3819
14,7056
15,5139
14,9624
12,0738
15,5528
14,563
14,7874
15,0512
15,9781
15,3603
13,7115
14,5146
13,9188
13,0261
13,9764
13,2546
12,2547
12,5688
14,4743
14,2137
11,8741
13,8681
13,7831
13,0991
13,1558
13,6596
12,3954
13,6362
13,5011
13,3426
11,871
12,9011
12 etc... | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 12.5621 | NA | NA | 0.126772418478262 | NA | | 2 | 13.5117 | NA | NA | 2.49349252717391 | NA | | 3 | 15.3397 | NA | NA | -0.641635914855073 | NA | | 4 | 16.8622 | NA | NA | -1.86477884963768 | NA | | 5 | 25.2609 | NA | NA | -2.219628125 | NA | | 6 | 10.0871 | NA | NA | 1.54720448369565 | NA | | 7 | 12.2961 | 15.8073928894928 | 14.7602958333333 | 1.04709705615942 | -3.51129288949275 | | 8 | 13.3181 | 13.445330932971 | 15.0324333333333 | -1.58710240036232 | -0.127230932971015 | | 9 | 14.2754 | 15.1241091938406 | 15.1011958333333 | 0.0229133605072466 | -0.848709193840579 | | 10 | 14.4211 | 14.5973555706522 | 14.9572541666667 | -0.359898596014493 | -0.176255570652172 | | 11 | 13.6932 | 15.0365869112319 | 14.5270875 | 0.509499411231885 | -1.34338691123188 | | 12 | 13.9921 | 15.3998271286232 | 14.4737625 | 0.926064628623189 | -1.40772712862319 | | 13 | 15.5698 | 15.0827474184783 | 14.955975 | 0.126772418478262 | 0.487052581521741 | | 14 | 17.0353 | 17.7166550271739 | 15.2231625 | 2.49349252717391 | -0.681355027173915 | | 15 | 13.4664 | 14.7470557518116 | 15.3886916666667 | -0.641635914855073 | -1.28065575181159 | | 16 | 15.2809 | 13.603162817029 | 15.4679416666667 | -1.86477884963768 | 1.67773718297102 | | 17 | 16.5182 | 13.369259375 | 15.5888875 | -2.219628125 | 3.148940625 | | 18 | 17.55 | 17.333512817029 | 15.7863083333333 | 1.54720448369565 | 0.216487182971015 | | 19 | 16.4063 | 16.8272053894928 | 15.7801083333333 | 1.04709705615942 | -0.42090538949275 | | 20 | 15.6204 | 13.9556350996377 | 15.5427375 | -1.58710240036232 | 1.66476490036232 | | 21 | 15.9458 | 15.3843841938406 | 15.3614708333333 | 0.0229133605072466 | 0.561415806159419 | | 22 | 14.6527 | 14.8779097373188 | 15.2378083333333 | -0.359898596014493 | -0.22520973731884 | | 23 | 16.3643 | 15.5268827445652 | 15.0173833333333 | 0.509499411231885 | 0.837417255434783 | | 24 | 16.0591 | 15.6290437952899 | 14.7029791666667 | 0.926064628623189 | 0.430056204710146 | | 25 | 13.354 | 14.5177140851449 | 14.3909416666667 | 0.126772418478262 | -1.16371408514493 | | 26 | 13.5542 | 16.6076758605072 | 14.1141833333333 | 2.49349252717391 | -3.05347586050725 | | 27 | 12.5971 | 13.2225682518116 | 13.8642041666667 | -0.641635914855073 | -0.625468251811595 | | 28 | 13.1823 | 11.740062817029 | 13.6048416666667 | -1.86477884963768 | 1.44223718297102 | | 29 | 13.3266 | 11.0048010416667 | 13.2244291666667 | -2.219628125 | 2.32179895833333 | | 30 | 13.1959 | 14.3827836503623 | 12.8355791666667 | 1.54720448369565 | -1.18688365036232 | | 31 | 13.2715 | 13.8761887228261 | 12.8290916666667 | 1.04709705615942 | -0.604688722826088 | | 32 | 12.113 | 11.4844225996377 | 13.071525 | -1.58710240036232 | 0.628577400362319 | | 33 | 13.4537 | 13.3443341938406 | 13.3214208333333 | 0.0229133605072466 | 0.109365806159419 | | 34 | 10.9201 | 13.1708264039855 | 13.530725 | -0.359898596014493 | -2.2507264039855 | | 35 | 10.967 | 14.1258869112319 | 13.6163875 | 0.509499411231885 | -3.15888691123188 | | 36 | 12.124 | 14.6943104619565 | 13.7682458333333 | 0.926064628623189 | -2.57031046195652 | | 37 | 17.1334 | 14.1343099184783 | 14.0075375 | 0.126772418478262 | 2.99909008152174 | | 38 | 15.5932 | 16.7955758605072 | 14.3020833333333 | 2.49349252717391 | -1.20237586050725 | | 39 | 16.5556 | 13.9568015851449 | 14.5984375 | -0.641635914855073 | 2.59879841485507 | | 40 | 14.2471 | 13.096875317029 | 14.9616541666667 | -1.86477884963768 | 1.15022468297102 | | 41 | 14.3177 | 13.219046875 | 15.438675 | -2.219628125 | 1.098653125 | | 42 | 15.8494 | 17.4183336503623 | 15.8711291666667 | 1.54720448369565 | -1.56893365036231 | | 43 | 16.361 | 16.9922178894927 | 15.9451208333333 | 1.04709705615942 | -0.631217889492751 | | 44 | 16.0926 | 14.411868432971 | 15.9989708333333 | -1.58710240036232 | 1.68073156702899 | | 45 | 16.5866 | 16.3179050271739 | 16.2949916666667 | 0.0229133605072466 | 0.26869497282609 | | 46 | 16.5044 | 16.1342764039855 | 16.494175 | -0.359898596014493 | 0.370123596014494 | | 47 | 16.8312 | 17.1760244112319 | 16.666525 | 0.509499411231885 | -0.344824411231887 | | 48 | 16.6387 | 17.6210062952898 | 16.6949416666667 | 0.926064628623189 | -0.98230629528985 | | 49 | 14.3945 | 16.6088682518116 | 16.4820958333333 | 0.126772418478262 | -2.21436825181159 | | 50 | 19.6245 | 18.8145508605072 | 16.3210583333333 | 2.49349252717391 | 0.809949139492755 | | 51 | 19.6288 | 15.5460265851449 | 16.1876625 | -0.641635914855073 | 4.08277341485507 | | 52 | 15.9543 | 14.4796086503623 | 16.3443875 | -1.86477884963768 | 1.47469134963769 | | 53 | 16.7469 | 14.7752677083333 | 16.9948958333333 | -2.219628125 | 1.97163229166667 | | 54 | 14.1022 | 19.2621086503623 | 17.7149041666667 | 1.54720448369565 | -5.15990865036232 | | 55 | 12.9999 | 19.1606095561594 | 18.1135125 | 1.04709705615942 | -6.16070955615942 | | 56 | 15.5888 | 16.4716517663044 | 18.0587541666667 | -1.58710240036232 | -0.882851766304352 | | 57 | 13.8889 | 17.7336425271739 | 17.7107291666667 | 0.0229133605072466 | -3.84474252717391 | | 58 | 22.9635 | 17.0074055706522 | 17.3673041666667 | -0.359898596014493 | 5.95609442934783 | | 59 | 25.9843 | 17.7912244112319 | 17.281725 | 0.509499411231885 | 8.19307558876812 | | 60 | 24.7658 | 18.3519479619565 | 17.4258833333333 | 0.926064628623189 | 6.41385203804348 | | 61 | 15.834 | 17.7964599184783 | 17.6696875 | 0.126772418478262 | -1.96245991847826 | | 62 | 16.8708 | 20.2476800271739 | 17.7541875 | 2.49349252717391 | -3.37688002717391 | | 63 | 14.0299 | 17.1708724184783 | 17.8125083333333 | -0.641635914855073 | -3.14097241847826 | | 64 | 13.311 | 15.7877586503623 | 17.6525375 | -1.86477884963768 | -2.47675865036232 | | 65 | 17.3363 | 14.8469760416667 | 17.0666041666667 | -2.219628125 | 2.48932395833334 | | 66 | 16.9726 | 17.959087817029 | 16.4118833333333 | 1.54720448369565 | -0.986487817028983 | | 67 | 15.9808 | 17.1076720561594 | 16.060575 | 1.04709705615942 | -1.12687205615942 | | 68 | 14.6359 | 14.3374475996377 | 15.92455 | -1.58710240036232 | 0.298452400362319 | | 69 | 16.2415 | 15.8675758605072 | 15.8446625 | 0.0229133605072466 | 0.373924139492752 | | 70 | 16.7716 | 15.5556555706522 | 15.9155541666667 | -0.359898596014493 | 1.21594442934782 | | 71 | 18.1138 | 16.3179035778986 | 15.8084041666667 | 0.509499411231885 | 1.79589642210145 | | 72 | 16.923 | 16.5003437952899 | 15.5742791666667 | 0.926064628623189 | 0.422656204710142 | | 73 | 15.2454 | 15.6213265851449 | 15.4945541666667 | 0.126772418478262 | -0.375926585144926 | | 74 | 14.1948 | 17.9861258605072 | 15.4926333333333 | 2.49349252717391 | -3.79132586050725 | | 75 | 14.7886 | 14.8172224184783 | 15.4588583333333 | -0.641635914855073 | -0.0286224184782604 | | 76 | 14.2537 | 13.5172169836957 | 15.3819958333333 | -1.86477884963768 | 0.736483016304348 | | 77 | 13.822 | 12.995559375 | 15.2151875 | -2.219628125 | 0.826440625000002 | | 78 | 14.8679 | 16.5561711503623 | 15.0089666666667 | 1.54720448369565 | -1.68827115036232 | | 79 | 16.1721 | 15.9748595561594 | 14.9277625 | 1.04709705615942 | 0.197240443840579 | | 80 | 14.3985 | 13.383830932971 | 14.9709333333333 | -1.58710240036232 | 1.01466906702898 | | 81 | 15.6683 | 14.9127133605072 | 14.8898 | 0.0229133605072466 | 0.755586639492755 | | 82 | 15.5001 | 14.4709139039855 | 14.8308125 | -0.359898596014493 | 1.0291860960145 | | 83 | 15.3819 | 15.4253160778986 | 14.9158166666667 | 0.509499411231885 | -0.0434160778985504 | | 84 | 14.7056 | 15.8694021286232 | 14.9433375 | 0.926064628623189 | -1.16380212862319 | | 85 | 15.5139 | 15.0200515851449 | 14.8932791666667 | 0.126772418478262 | 0.493848414855075 | | 86 | 14.9624 | 17.4058841938406 | 14.9123916666667 | 2.49349252717391 | -2.44348419384058 | | 87 | 12.0738 | 14.3237390851449 | 14.965375 | -0.641635914855073 | -2.24993908514493 | | 88 | 15.5528 | 13.013237817029 | 14.8780166666667 | -1.86477884963768 | 2.53956218297101 | | 89 | 14.563 | 12.5477260416667 | 14.7673541666667 | -2.219628125 | 2.01527395833334 | | 90 | 14.7874 | 16.245637817029 | 14.6984333333333 | 1.54720448369565 | -1.45823781702898 | | 91 | 15.0512 | 15.6090887228261 | 14.5619916666667 | 1.04709705615942 | -0.557888722826085 | | 92 | 15.9781 | 12.8301475996377 | 14.41725 | -1.58710240036232 | 3.14795240036232 | | 93 | 15.3603 | 14.4482800271739 | 14.4253666666667 | 0.0229133605072466 | 0.912019972826089 | | 94 | 13.7115 | 13.9772472373188 | 14.3371458333333 | -0.359898596014493 | -0.265747237318841 | | 95 | 14.5146 | 14.6261327445652 | 14.1166333333333 | 0.509499411231885 | -0.111532744565215 | | 96 | 13.9188 | 14.9465604619565 | 14.0204958333333 | 0.926064628623189 | -1.02776046195653 | | 97 | 13.0261 | 14.0993265851449 | 13.9725541666667 | 0.126772418478262 | -1.07322658514493 | | 98 | 13.9764 | 16.2601508605072 | 13.7666583333333 | 2.49349252717391 | -2.28375086050724 | | 99 | 13.2546 | 12.8918474184783 | 13.5334833333333 | -0.641635914855073 | 0.362752581521741 | | 100 | 12.2547 | 11.609512817029 | 13.4742916666667 | -1.86477884963768 | 0.645187182971016 | | 101 | 12.5688 | 11.1986677083333 | 13.4182958333333 | -2.219628125 | 1.37013229166667 | | 102 | 14.4743 | 14.8747294836956 | 13.327525 | 1.54720448369565 | -0.40042948369565 | | 103 | 14.2137 | 14.3692262228261 | 13.3221291666667 | 1.04709705615942 | -0.155526222826087 | | 104 | 11.8741 | 11.6955475996377 | 13.28265 | -1.58710240036232 | 0.178552400362321 | | 105 | 13.8681 | 13.2555883605072 | 13.232675 | 0.0229133605072466 | 0.612511639492755 | | 106 | 13.7831 | 12.9406097373188 | 13.3005083333333 | -0.359898596014493 | 0.842490262681158 | | 107 | 13.0991 | 13.8941827445652 | 13.3846833333333 | 0.509499411231885 | -0.795082744565216 | | 108 | 13.1558 | 14.2345187952899 | 13.3084541666667 | 0.926064628623189 | -1.07871879528986 | | 109 | 13.6596 | 13.2720640851449 | 13.1452916666667 | 0.126772418478262 | 0.387535914855073 | | 110 | 12.3954 | 15.6236925271739 | 13.1302 | 2.49349252717391 | -3.22829252717391 | | 111 | 13.6362 | 12.5284682518116 | 13.1701041666667 | -0.641635914855073 | 1.10773174818841 | | 112 | 13.5011 | 11.2570669836956 | 13.1218458333333 | -1.86477884963768 | 2.24403301630435 | | 113 | 13.3426 | 10.8129385416667 | 13.0325666666667 | -2.219628125 | 2.52966145833334 | | 114 | 11.871 | 14.524975317029 | 12.9777708333333 | 1.54720448369565 | -2.65397531702898 | | 115 | 12.9011 | 14.1014595561594 | 13.0543625 | 1.04709705615942 | -1.20035955615942 | | 116 | 12.8245 | 11.6963017663043 | 13.2834041666667 | -1.58710240036232 | 1.12819823369565 | | 117 | 13.8754 | 13.6604716938406 | 13.6375583333333 | 0.0229133605072466 | 0.214928306159422 | | 118 | 12.6176 | 13.4876472373188 | 13.8475458333333 | -0.359898596014493 | -0.870047237318838 | | 119 | 12.1219 | 14.3595660778986 | 13.8500666666667 | 0.509499411231885 | -2.23766607789855 | | 120 | 12.8179 | 14.9258562952899 | 13.9997916666667 | 0.926064628623189 | -2.10795629528985 | | 121 | 15.8357 | 14.3349182518116 | 14.2081458333333 | 0.126772418478262 | 1.50078174818841 | | 122 | 15.7163 | 16.8414591938406 | 14.3479666666667 | 2.49349252717391 | -1.12515919384058 | | 123 | 18.815 | 13.8257599184783 | 14.4673958333333 | -0.641635914855073 | 4.98924008152174 | | 124 | 13.362 | 12.8674836503623 | 14.7322625 | -1.86477884963768 | 0.494516349637683 | | 125 | 13.5422 | 13.019234375 | 15.2388625 | -2.219628125 | 0.522965625000003 | | 126 | 15.2648 | 17.281812817029 | 15.7346083333333 | 1.54720448369565 | -2.01701281702898 | | 127 | 14.5078 | 16.9888678894928 | 15.9417708333333 | 1.04709705615942 | -2.48106788949275 | | 128 | 14.5735 | 14.4316475996377 | 16.01875 | -1.58710240036232 | 0.141852400362318 | | 129 | 14.9927 | 15.9918508605072 | 15.9689375 | 0.0229133605072466 | -0.999150860507246 | | 130 | 17.8571 | 15.6594305706522 | 16.0193291666667 | -0.359898596014493 | 2.19766942934783 | | 131 | 19.0408 | 16.9377202445652 | 16.4282208333333 | 0.509499411231885 | 2.10307975543478 | | 132 | 17.7969 | 17.6439187952899 | 16.7178541666667 | 0.926064628623189 | 0.152981204710148 | | 133 | 15.8286 | 16.9597140851449 | 16.8329416666667 | 0.126772418478262 | -1.13111408514493 | | 134 | 17.5709 | 19.4850841938406 | 16.9915916666667 | 2.49349252717391 | -1.91418419384058 | | 135 | 15.7649 | 16.5262849184783 | 17.1679208333333 | -0.641635914855073 | -0.76138491847826 | | 136 | 17.6215 | 15.3409919836957 | 17.2057708333333 | -1.86477884963768 | 2.28050801630435 | | 137 | 19.0961 | 14.907796875 | 17.127425 | -2.219628125 | 4.188303125 | | 138 | 16.6621 | 18.5994169836956 | 17.0522125 | 1.54720448369565 | -1.93731698369565 | | 139 | 15.8726 | 17.9485970561594 | 16.9015 | 1.04709705615942 | -2.07599705615942 | | 140 | 17.0163 | 14.9339225996377 | 16.521025 | -1.58710240036232 | 2.08237740036232 | | 141 | 16.7818 | 15.9885883605072 | 15.965675 | 0.0229133605072466 | 0.793211639492757 | | 142 | 16.9764 | 15.1422764039855 | 15.502175 | -0.359898596014493 | 1.8341235960145 | | 143 | 18.0412 | 15.6442285778985 | 15.1347291666667 | 0.509499411231885 | 2.39697142210145 | | 144 | 16.9914 | 15.6658937952899 | 14.7398291666667 | 0.926064628623189 | 1.32550620471015 | | 145 | 13.017 | 14.5163640851449 | 14.3895916666667 | 0.126772418478262 | -1.49936408514493 | | 146 | 11.2511 | 16.5537341938406 | 14.0602416666667 | 2.49349252717391 | -5.30263419384058 | | 147 | 8.7563 | 13.0837015851449 | 13.7253375 | -0.641635914855073 | -4.32740158514493 | | 148 | 13.5061 | 11.4207211503623 | 13.2855 | -1.86477884963768 | 2.08537884963768 | | 149 | 14.3928 | 10.494521875 | 12.71415 | -2.219628125 | 3.898278125 | | 150 | 11.8878 | 13.759100317029 | 12.2118958333333 | 1.54720448369565 | -1.87130031702898 | | 151 | 12.2412 | 13.1036887228261 | 12.0565916666667 | 1.04709705615942 | -0.862488722826088 | | 152 | 12.7433 | 10.8637225996377 | 12.450825 | -1.58710240036232 | 1.87957740036232 | | 153 | 13.0171 | 13.4790216938406 | 13.4561083333333 | 0.0229133605072466 | -0.46192169384058 | | 154 | 10.185 | 13.5951889039855 | 13.9550875 | -0.359898596014493 | -3.4101889039855 | | 155 | 11.1202 | 14.0911869112319 | 13.5816875 | 0.509499411231885 | -2.97098691123188 | | 156 | 11.8583 | 14.5657979619565 | 13.6397333333333 | 0.926064628623189 | -2.70749796195652 | | 157 | 14.4228 | 14.1700224184783 | 14.04325 | 0.126772418478262 | 0.252777581521741 | | 158 | 19.3069 | 16.6434050271739 | 14.1499125 | 2.49349252717391 | 2.66349497282608 | | 159 | 24.8273 | 13.5505099184783 | 14.1921458333333 | -0.641635914855073 | 11.2767900815217 | | 160 | 9.4106 | 12.9572836503623 | 14.8220625 | -1.86477884963768 | -3.54668365036232 | | 161 | 9.5267 | 13.5571135416667 | 15.7767416666667 | -2.219628125 | -4.03041354166666 | | 162 | 18.147 | 18.136262817029 | 16.5890583333333 | 1.54720448369565 | 0.0107371829710132 | | 163 | 15.6664 | 18.4678678894928 | 17.4207708333333 | 1.04709705615942 | -2.80146788949275 | | 164 | 11.878 | 16.839355932971 | 18.4264583333333 | -1.58710240036232 | -4.96135593297101 | | 165 | 14.896 | 19.2001758605072 | 19.1772625 | 0.0229133605072466 | -4.30417586050725 | | 166 | 23.4241 | 19.7355514039855 | 20.09545 | -0.359898596014493 | 3.68854859601449 | | 167 | 20.7934 | 21.9972785778985 | 21.4877791666667 | 0.509499411231885 | -1.20387857789855 | | 168 | 21.6807 | 23.5691437952899 | 22.6430791666667 | 0.926064628623189 | -1.88844379528985 | | 169 | 24.5615 | 23.9328224184783 | 23.80605 | 0.126772418478262 | 0.628677581521739 | | 170 | 33.3047 | 27.6279425271739 | 25.13445 | 2.49349252717391 | 5.67675747282609 | | 171 | 28.8488 | 25.8117224184783 | 26.4533583333333 | -0.641635914855073 | 3.03707758152174 | | 172 | 27.4256 | 25.8239711503623 | 27.68875 | -1.86477884963768 | 1.60162884963768 | | 173 | 24.9276 | 26.7303677083333 | 28.9499958333333 | -2.219628125 | -1.80276770833333 | | 174 | 30.4733 | 31.8100044836956 | 30.2628 | 1.54720448369565 | -1.33670448369565 | | 175 | 31.2514 | 32.1741220561594 | 31.127025 | 1.04709705615942 | -0.922722056159419 | | 176 | 28.1746 | 29.565443432971 | 31.1525458333333 | -1.58710240036232 | -1.39084343297101 | | 177 | 30.2532 | 30.6763341938406 | 30.6534208333333 | 0.0229133605072466 | -0.423134193840575 | | 178 | 37.7163 | 30.0882722373188 | 30.4481708333333 | -0.359898596014493 | 7.62802776268116 | | 179 | 36.7711 | 31.1657660778986 | 30.6562666666667 | 0.509499411231885 | 5.60533392210144 | | 180 | 37.2103 | 31.6441687952899 | 30.7181041666667 | 0.926064628623189 | 5.56613120471014 | | 181 | 29.7733 | 30.8520599184783 | 30.7252875 | 0.126772418478262 | -1.07875991847826 | | 182 | 28.7054 | 33.2652008605072 | 30.7717083333333 | 2.49349252717391 | -4.55980086050725 | | 183 | 21.4691 | 30.2269307518116 | 30.8685666666667 | -0.641635914855073 | -8.7578307518116 | | 184 | 29.8793 | 28.4380294836957 | 30.3028083333333 | -1.86477884963768 | 1.44127051630435 | | 185 | 27.4682 | 26.8756302083333 | 29.0952583333333 | -2.219628125 | 0.592569791666662 | | 186 | 29.4168 | 29.750275317029 | 28.2030708333333 | 1.54720448369565 | -0.333475317028988 | | 187 | 32.4803 | 28.8782637228261 | 27.8311666666667 | 1.04709705615942 | 3.60203627717392 | | 188 | 28.0598 | 26.1528267663043 | 27.7399291666667 | -1.58710240036232 | 1.90697323369565 | | 189 | 32.6926 | 27.9263258605072 | 27.9034125 | 0.0229133605072466 | 4.76627413949275 | | 190 | 21.6987 | 27.5106722373188 | 27.8705708333333 | -0.359898596014493 | -5.81197223731884 | | 191 | 23.8075 | 27.9083202445652 | 27.3988208333333 | 0.509499411231885 | -4.10082024456522 | | 192 | 28.7614 | 27.9755896286232 | 27.049525 | 0.926064628623189 | 0.785810371376812 | | 193 | 29.2965 | 26.7532099184783 | 26.6264375 | 0.126772418478262 | 2.54329008152174 | | 194 | 26.9925 | 28.8353258605072 | 26.3418333333333 | 2.49349252717391 | -1.84282586050724 | | 195 | 27.1056 | 25.5028765851449 | 26.1445125 | -0.641635914855073 | 1.60272341485507 | | 196 | 23.4546 | 24.195362817029 | 26.0601416666667 | -1.86477884963768 | -0.740762817028987 | | 197 | 22.5709 | 24.1168010416667 | 26.3364291666667 | -2.219628125 | -1.54590104166666 | | 198 | 25.931 | 28.0603919836957 | 26.5131875 | 1.54720448369565 | -2.12939198369565 | | 199 | 25.812 | 27.2994428894928 | 26.2523458333333 | 1.04709705615942 | -1.48744288949275 | | 200 | 27.8976 | 24.375943432971 | 25.9630458333333 | -1.58710240036232 | 3.52165656702899 | | 201 | 28.1191 | 25.8368300271739 | 25.8139166666667 | 0.0229133605072466 | 2.28226997282609 | | 202 | 24.2473 | 25.5913930706522 | 25.9512916666667 | -0.359898596014493 | -1.34409307065217 | | 203 | 27.8898 | 26.9635160778986 | 26.4540166666667 | 0.509499411231885 | 0.926283922101451 | | 204 | 28.9213 | 27.5775229619565 | 26.6514583333333 | 0.926064628623189 | 1.34377703804348 | | 205 | 22.8764 | 26.6333057518116 | 26.5065333333333 | 0.126772418478262 | -3.75690575181159 | | 206 | 26.4694 | 28.8658841938406 | 26.3723916666667 | 2.49349252717391 | -2.39648419384057 | | 207 | 24.0496 | 25.4434182518116 | 26.0850541666667 | -0.641635914855073 | -1.39381825181159 | | 208 | 29.8076 | 23.9793419836957 | 25.8441208333333 | -1.86477884963768 | 5.82825801630435 | | 209 | 28.2833 | 23.508334375 | 25.7279625 | -2.219628125 | 4.774965625 | | 210 | 24.9572 | 26.934412817029 | 25.3872083333333 | 1.54720448369565 | -1.97721281702898 | | 211 | 23.3076 | 26.4250428894927 | 25.3779458333333 | 1.04709705615942 | -3.11744288949275 | | 212 | 27.1826 | 24.308355932971 | 25.8954583333333 | -1.58710240036232 | 2.87424406702899 | | 213 | 21.938 | 26.4841050271739 | 26.4611916666667 | 0.0229133605072466 | -4.54610502717392 | | 214 | 24.646 | 26.1092389039855 | 26.4691375 | -0.359898596014493 | -1.46323890398551 | | 215 | 24.7033 | 26.5699035778986 | 26.0604041666667 | 0.509499411231885 | -1.86660357789856 | | 216 | 23.9297 | 27.0571312952899 | 26.1310666666667 | 0.926064628623189 | -3.12743129528985 | | 217 | 27.6457 | 26.7490807518116 | 26.6223083333333 | 0.126772418478262 | 0.896619248188404 | | 218 | 34.1204 | 29.3451716938406 | 26.8516791666667 | 2.49349252717391 | 4.77522830615942 | | 219 | 29.9762 | 26.5611182518116 | 27.2027541666667 | -0.641635914855073 | 3.41508174818841 | | 220 | 24.0717 | 26.1199544836957 | 27.9847333333333 | -1.86477884963768 | -2.04825448369565 | | 221 | 24.2096 | 26.7850885416667 | 29.0047166666667 | -2.219628125 | -2.57548854166667 | | 222 | 30.7268 | 31.624587817029 | 30.0773833333333 | 1.54720448369565 | -0.897787817028984 | | 223 | 29.3278 | 32.1593678894928 | 31.1122708333333 | 1.04709705615942 | -2.83156788949275 | | 224 | 26.6673 | 30.844843432971 | 32.4319458333333 | -1.58710240036232 | -4.17754343297101 | | 225 | 30.8791 | 33.9743341938406 | 33.9514208333333 | 0.0229133605072466 | -3.09523419384058 | | 226 | 34.4724 | 34.8297055706522 | 35.1896041666667 | -0.359898596014493 | -0.357305570652173 | | 227 | 39.3565 | 36.5560160778985 | 36.0465166666667 | 0.509499411231885 | 2.80048392210145 | | 228 | 35.0205 | 38.0942187952899 | 37.1681541666667 | 0.926064628623189 | -3.07371879528986 | | 229 | 41.3922 | 38.7085182518116 | 38.5817458333333 | 0.126772418478262 | 2.68368174818841 | | 230 | 52.0461 | 42.3312591938406 | 39.8377666666667 | 2.49349252717391 | 9.71484080615942 | | 231 | 48.5179 | 40.1249474184783 | 40.7665833333333 | -0.641635914855073 | 8.39295258152174 | | 232 | 35.2464 | 39.8158919836956 | 41.6806708333333 | -1.86477884963768 | -4.56949198369565 | | 233 | 33.6008 | 40.4353677083333 | 42.6549958333333 | -2.219628125 | -6.83456770833333 | | 234 | 48.2549 | 45.333762817029 | 43.7865583333333 | 1.54720448369565 | 2.92113718297101 | | 235 | 45.7259 | 46.2226595561594 | 45.1755625 | 1.04709705615942 | -0.496759556159411 | | 236 | 40.4137 | 44.5016850996377 | 46.0887875 | -1.58710240036232 | -4.08798509963768 | | 237 | 39.4243 | 46.3057925271739 | 46.2828791666667 | 0.0229133605072466 | -6.88149252717391 | | 238 | 47.8653 | 46.5680222373188 | 46.9279208333333 | -0.359898596014493 | 1.29727776268115 | | 239 | 49.3474 | 48.9145619112319 | 48.4050625 | 0.509499411231885 | 0.432838088768115 | | 240 | 52.1871 | 50.5550896286232 | 49.629025 | 0.926064628623189 | 1.63201037137682 | | 241 | 57.5617 | 50.5977265851449 | 50.4709541666667 | 0.126772418478262 | 6.96397341485508 | | 242 | 57.794 | 53.8760841938406 | 51.3825916666667 | 2.49349252717391 | 3.91791580615943 | | 243 | 47.4282 | 51.9264640851449 | 52.5681 | -0.641635914855073 | -4.49826408514492 | | 244 | 51.8171 | 51.334887817029 | 53.1996666666667 | -1.86477884963768 | 0.482212182971018 | | 245 | 52.4815 | 50.8643302083333 | 53.0839583333333 | -2.219628125 | 1.61716979166666 | | 246 | 58.7493 | 54.4830419836956 | 52.9358375 | 1.54720448369565 | 4.26625801630435 | | 247 | 55.4378 | 53.5981720561594 | 52.551075 | 1.04709705615942 | 1.83962794384058 | | 248 | 52.5811 | 50.432480932971 | 52.0195833333333 | -1.58710240036232 | 2.14861906702899 | | 249 | 55.7091 | 52.4552091938406 | 52.4322958333333 | 0.0229133605072466 | 3.25389080615943 | | 250 | 46.7381 | 52.4232805706522 | 52.7831791666667 | -0.359898596014493 | -5.68518057065216 | | 251 | 47.6976 | 52.5774660778985 | 52.0679666666667 | 0.509499411231885 | -4.87986607789854 | | 252 | 50.282 | 52.4202229619565 | 51.4941583333333 | 0.926064628623189 | -2.13822296195651 | | 253 | 50.2325 | 51.3548432518116 | 51.2280708333333 | 0.126772418478262 | -1.12234325181159 | | 254 | 52.3674 | 53.3804966938406 | 50.8870041666667 | 2.49349252717391 | -1.01309669384057 | | 255 | 62.7599 | 49.7964099184783 | 50.4380458333333 | -0.641635914855073 | 12.9634900815217 | | 256 | 44.9066 | 49.0160336503623 | 50.8808125 | -1.86477884963768 | -4.10943365036233 | | 257 | 42.2269 | 49.7492135416667 | 51.9688416666667 | -2.219628125 | -7.52231354166667 | | 258 | 55.2325 | 54.1374961503623 | 52.5902916666667 | 1.54720448369565 | 1.09500384963768 | | 259 | 52.5685 | 54.6583095561594 | 53.6112125 | 1.04709705615942 | -2.08980955615942 | | 260 | 47.2648 | 53.8693517663043 | 55.4564541666667 | -1.58710240036232 | -6.60455176630435 | | 261 | 50.2504 | 55.2288675271739 | 55.2059541666667 | 0.0229133605072466 | -4.9784675271739 | | 262 | 62.8232 | 54.3667514039855 | 54.72665 | -0.359898596014493 | 8.4564485960145 | | 263 | 57.7252 | 56.8774577445652 | 56.3679583333333 | 0.509499411231885 | 0.847742255434781 | | 264 | 55.1692 | 59.3883396286232 | 58.462275 | 0.926064628623189 | -4.2191396286232 | | 265 | 69.8474 | 61.2313474184783 | 61.104575 | 0.126772418478262 | 8.61605258152172 | | 266 | 77.0383 | 65.7738800271739 | 63.2803875 | 2.49349252717391 | 11.2644199728261 | | 267 | 32.077 | 64.6683182518116 | 65.3099541666667 | -0.641635914855073 | -32.5913182518116 | | 268 | 64.0862 | 63.8680544836957 | 65.7328333333333 | -1.86477884963768 | 0.218145516304347 | | 269 | 62.4387 | 62.587134375 | 64.8067625 | -2.219628125 | -0.148434375000008 | | 270 | 85.2843 | 66.8667836503623 | 65.3195791666667 | 1.54720448369565 | 18.4175163496377 | | 271 | 85.9319 | 65.7012137228261 | 64.6541166666667 | 1.04709705615942 | 20.2306862771739 | | 272 | 66.1209 | 60.7042225996377 | 62.291325 | -1.58710240036232 | 5.41667740036232 | | 273 | 80.1039 | 62.0500091938406 | 62.0270958333333 | 0.0229133605072466 | 18.0538908061594 | | 274 | 43.1188 | 61.2522222373188 | 61.6121208333333 | -0.359898596014493 | -18.1334222373188 | | 275 | 55.2039 | 59.7188619112319 | 59.2093625 | 0.509499411231885 | -4.51496191123189 | | 276 | 69.9981 | 57.3451521286232 | 56.4190875 | 0.926064628623189 | 12.6529478713768 | | 277 | 39.0474 | 53.4108265851449 | 53.2840541666667 | 0.126772418478262 | -14.3634265851449 | | 278 | 51.1313 | 53.0270091938406 | 50.5335166666667 | 2.49349252717391 | -1.89570919384057 | | 279 | 51.6425 | 47.1044640851449 | 47.7461 | -0.641635914855073 | 4.53803591485508 | | 280 | 34.5613 | 44.7002169836956 | 46.5649958333333 | -1.86477884963768 | -10.1389169836956 | | 281 | 34.2974 | 44.4918510416667 | 46.7114791666667 | -2.219628125 | -10.1944510416667 | | 282 | 46.459 | 47.071037817029 | 45.5238333333333 | 1.54720448369565 | -0.612037817028984 | | 283 | 49.5164 | 46.6492845561594 | 45.6021875 | 1.04709705615942 | 2.86711544384058 | | 284 | 36.5235 | 45.4204725996377 | 47.007575 | -1.58710240036232 | -8.89697259963768 | | 285 | 42.8033 | 47.5150883605072 | 47.492175 | 0.0229133605072466 | -4.71178836050724 | | 286 | 52.0729 | 48.0599305706522 | 48.4198291666667 | -0.359898596014493 | 4.01296942934783 | | 287 | 49.7654 | 50.7642244112319 | 50.254725 | 0.509499411231885 | -0.99882441123188 | | 288 | 46.9331 | 52.8617479619565 | 51.9356833333333 | 0.926064628623189 | -5.92864796195651 | | 289 | 63.9929 | NA | 52.9887125 | NA | NA | | 290 | 59.9151 | NA | 54.4321833333333 | NA | NA | | 291 | 54.4891 | NA | NA | NA | NA | | 292 | 53.9784 | NA | NA | NA | NA | | 293 | 58.9178 | NA | NA | NA | NA | | 294 | 62.1816 | NA | NA | NA | NA | | 295 | 59.0665 | NA | NA | NA | NA | | 296 | 61.6167 | NA | NA | NA | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/128qd1292092308.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/128qd1292092308.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/228qd1292092308.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/228qd1292092308.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/3vh7y1292092308.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/3vh7y1292092308.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/4vh7y1292092308.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/11/t1292092431yubbqan5olr10j0/4vh7y1292092308.ps (open in new window) |
| | | | 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')
| | |
Copyright
This work is licensed under a
Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Software written by Ed van Stee & Patrick Wessa
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We NEVER allow other companies to directly offer registered users
information about their products and services. Banner references and
hyperlinks of third parties NEVER contain any personal data of the
visitor.
We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.
We carefully protect your data from loss, misuse, alteration,
and destruction. However, at any time, and under any circumstance you
are solely responsible for managing your passwords, and keeping them
secret.
We store a unique ANONYMOUS USER ID in the form of a small
'Cookie' on your computer. This allows us to track your progress when
using this website which is necessary to create state-dependent
features. The cookie is used for NO OTHER PURPOSE. At any time you may
opt to disallow cookies from this website - this will not affect other
features of this website.
We examine cookies that are used by third-parties (banner and
online ads) very closely: abuse from third-parties automatically
results in termination of the advertising contract without refund. We
have very good reason to believe that the cookies that are produced by
third parties (banner ads) do NOT cause any privacy or security risk.
FreeStatistics.org is safe. There is no need to download any
software to use the applications and services contained in this
website. Hence, your system's security is not compromised by their use,
and your personal data - other than data you submit in the account
application form, and the user-agent information that is transmitted by
your browser - is never transmitted to our servers.
As a general rule, we do not log on-line behavior of
individuals (other than normal logging of webserver 'hits'). However,
in cases of abuse, hacking, unauthorized access, Denial of Service
attacks, illegal copying, hotlinking, non-compliance with international
webstandards (such as robots.txt), or any other harmful behavior, our
system engineers are empowered to log, track, identify, publish, and
ban misbehaving individuals - even if this leads to ban entire blocks
of IP addresses, or disclosing user's identity.
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