| 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: Sun, 12 Dec 2010 17:33:34 +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/12/t1292175086heuj65pgqrngubd.htm/, Retrieved Sun, 12 Dec 2010 18:31:26 +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/12/t1292175086heuj65pgqrngubd.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 « | | 25,2609
16,8622
13,3181
12,5621
14,2754
12,2961
10,0871
13,5117
13,9921
13,6932
14,4211
15,3397
16,5182
15,2809
15,6204
15,5698
15,9458
16,4063
17,55
17,0353
16,0591
16,3643
14,6527
13,4664
13,3266
13,1823
12,113
13,354
13,4537
13,2715
13,1959
13,5542
12,124
10,967
10,9201
12,5971
14,3177
14,2471
16,0926
17,1334
16,5866
16,361
15,8494
15,5932
16,6387
16,8312
16,5044
16,5556
16,7469
15,9543
15,5888
14,3945
13,8889
12,9999
14,1022
19,6245
24,7658
25,9843
22,9635
19,6288
17,3363
13,311
14,6359
15,834
16,2415
15,9808
16,9726
16,8708
16,923
18,1138
16,7716
14,0299
13,822
14,2537
14,3985
15,2454
15,6683
16,1721
14,8679
14,1948
14,7056
15,3819
15,5001
14,7886
14,563
15,5528
15,9781
15,5139
15,3603
15,0512
14,7874
14,9624
13,9188
14,5146
13,7115
12,0738
12,5688
12,2547
11,8741
13,0261
13,8681
14,2137
14,4743
13,9764
13,1558
13,0991
13,7831
13,2546
13,3426
13,5011
12,8245
13,6596
13,8754
12,9011
11,871
12 etc... | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 25.2609 | NA | NA | -1.71156284722222 | NA | | 2 | 16.8622 | NA | NA | -1.62431411533816 | NA | | 3 | 13.3181 | NA | NA | -0.903080419685988 | NA | | 4 | 12.5621 | NA | NA | -0.208691289251206 | NA | | 5 | 14.2754 | NA | NA | 0.6003507397343 | NA | | 6 | 12.2961 | NA | NA | 1.17315762379227 | NA | | 7 | 10.0871 | 15.6629335295894 | 14.2706958333333 | 1.39223769625604 | -5.57583352958937 | | 8 | 13.5117 | 15.5679704861111 | 13.8405291666667 | 1.72744131944445 | -2.05627048611111 | | 9 | 13.9921 | 15.2668413194444 | 13.8705708333333 | 1.39627048611111 | -1.27474131944444 | | 10 | 13.6932 | 14.7474311745169 | 14.0918208333333 | 0.655610341183574 | -1.05423117451691 | | 11 | 14.4211 | 13.7555788194444 | 14.2867416666667 | -0.531162847222224 | 0.665521180555558 | | 12 | 15.3397 | 12.5613433121981 | 14.5276 | -1.96625668780193 | 2.77835668780193 | | 13 | 16.5182 | 13.2982496527778 | 15.0098125 | -1.71156284722222 | 3.21995034722222 | | 14 | 15.2809 | 13.8432692179952 | 15.4675833333333 | -1.62431411533816 | 1.43763078200483 | | 15 | 15.6204 | 14.797444580314 | 15.700525 | -0.903080419685988 | 0.82295541968599 | | 16 | 15.5698 | 15.6892545440821 | 15.8979458333333 | -0.208691289251206 | -0.119454544082128 | | 17 | 15.9458 | 16.6192424064010 | 16.0188916666667 | 0.6003507397343 | -0.673442406400968 | | 18 | 16.4063 | 17.1236451237923 | 15.9504875 | 1.17315762379227 | -0.71734512379227 | | 19 | 17.55 | 17.1316876962560 | 15.73945 | 1.39223769625604 | 0.41831230374396 | | 20 | 17.0353 | 17.2464663194444 | 15.519025 | 1.72744131944445 | -0.211166319444445 | | 21 | 16.0591 | 16.6817121527778 | 15.2854416666667 | 1.39627048611111 | -0.622612152777776 | | 22 | 16.3643 | 15.7025853411836 | 15.046975 | 0.655610341183574 | 0.661714658816425 | | 23 | 14.6527 | 14.3196496527778 | 14.8508125 | -0.531162847222224 | 0.333050347222224 | | 24 | 13.4664 | 12.6501016455314 | 14.6163583333333 | -1.96625668780193 | 0.8162983544686 | | 25 | 13.3266 | 12.5927579861111 | 14.3043208333333 | -1.71156284722222 | 0.733842013888891 | | 26 | 13.1823 | 12.3535400513285 | 13.9778541666667 | -1.62431411533816 | 0.828759948671498 | | 27 | 12.113 | 12.7657654136473 | 13.6688458333333 | -0.903080419685988 | -0.652765413647343 | | 28 | 13.354 | 13.0713045440821 | 13.2799958333333 | -0.208691289251206 | 0.282695455917873 | | 29 | 13.4537 | 13.4999340730676 | 12.8995833333333 | 0.6003507397343 | -0.0462340730676303 | | 30 | 13.2715 | 13.8809951237923 | 12.7078375 | 1.17315762379227 | -0.60949512379227 | | 31 | 13.1959 | 14.1051501962560 | 12.7129125 | 1.39223769625604 | -0.909250196256037 | | 32 | 13.5542 | 14.5260163194444 | 12.798575 | 1.72744131944445 | -0.971816319444443 | | 33 | 12.124 | 14.4050288194444 | 13.0087583333333 | 1.39627048611111 | -2.28102881944444 | | 34 | 10.967 | 13.9876603411836 | 13.33205 | 0.655610341183574 | -3.02066034118358 | | 35 | 10.9201 | 13.0888996527778 | 13.6200625 | -0.531162847222224 | -2.16879965277777 | | 36 | 12.5971 | 11.9130724788647 | 13.8793291666667 | -1.96625668780193 | 0.684027521135263 | | 37 | 14.3177 | 12.4070579861111 | 14.1186208333333 | -1.71156284722222 | 1.91064201388889 | | 38 | 14.2471 | 12.6898275513285 | 14.3141416666667 | -1.62431411533816 | 1.55727244867150 | | 39 | 16.0926 | 13.684132080314 | 14.5872125 | -0.903080419685988 | 2.40846791968599 | | 40 | 17.1334 | 14.8109753774155 | 15.0196666666667 | -0.208691289251206 | 2.32242462258455 | | 41 | 16.5866 | 16.0970382397343 | 15.4966875 | 0.6003507397343 | 0.489561760265703 | | 42 | 16.361 | 17.0674617904589 | 15.8943041666667 | 1.17315762379227 | -0.706461790458937 | | 43 | 15.8494 | 17.5526960295894 | 16.1604583333333 | 1.39223769625604 | -1.70329602958937 | | 44 | 15.5932 | 18.0602496527778 | 16.3328083333333 | 1.72744131944445 | -2.46704965277778 | | 45 | 16.6387 | 17.7792204861111 | 16.38295 | 1.39627048611111 | -1.14052048611111 | | 46 | 16.8312 | 16.9034478411836 | 16.2478375 | 0.655610341183574 | -0.0722478411835752 | | 47 | 16.5044 | 15.4901496527778 | 16.0213125 | -0.531162847222224 | 1.01425034722223 | | 48 | 16.5556 | 13.8026058121981 | 15.7688625 | -1.96625668780193 | 2.75299418780193 | | 49 | 16.7469 | 13.8444538194444 | 15.5560166666667 | -1.71156284722222 | 2.90244618055556 | | 50 | 15.9543 | 14.0268733846618 | 15.6511875 | -1.62431411533816 | 1.92742661533817 | | 51 | 15.5888 | 15.254707080314 | 16.1577875 | -0.903080419685988 | 0.334092919685993 | | 52 | 14.3945 | 16.6691045440821 | 16.8777958333333 | -0.208691289251206 | -2.27460454408212 | | 53 | 13.8889 | 18.1286549064010 | 17.5283041666667 | 0.6003507397343 | -4.23975490640096 | | 54 | 12.9999 | 19.0986409571256 | 17.9254833333333 | 1.17315762379227 | -6.0987409571256 | | 55 | 14.1022 | 19.4703293629227 | 18.0780916666667 | 1.39223769625604 | -5.3681293629227 | | 56 | 19.6245 | 19.7199538194444 | 17.9925125 | 1.72744131944445 | -0.0954538194444439 | | 57 | 24.7658 | 19.2389413194444 | 17.8426708333333 | 1.39627048611111 | 5.52685868055556 | | 58 | 25.9843 | 18.5185561745169 | 17.8629458333333 | 0.655610341183574 | 7.4657438254831 | | 59 | 22.9635 | 17.4897871527778 | 18.02095 | -0.531162847222224 | 5.47371284722222 | | 60 | 19.6288 | 16.2769224788647 | 18.2431791666667 | -1.96625668780193 | 3.35187752113526 | | 61 | 17.3363 | 16.7754204861111 | 18.4869833333333 | -1.71156284722222 | 0.560879513888889 | | 62 | 13.311 | 16.8675317179952 | 18.4918458333333 | -1.62431411533816 | -3.55653171799517 | | 63 | 14.6359 | 17.147244580314 | 18.050325 | -0.903080419685988 | -2.51134458031401 | | 64 | 15.834 | 17.1869128774155 | 17.3956041666667 | -0.208691289251206 | -1.35291287741546 | | 65 | 16.2415 | 17.4100215730676 | 16.8096708333333 | 0.6003507397343 | -1.16852157306763 | | 66 | 15.9808 | 17.4915451237923 | 16.3183875 | 1.17315762379227 | -1.51074512379227 | | 67 | 16.9726 | 17.3309085295894 | 15.9386708333333 | 1.39223769625604 | -0.358308529589371 | | 68 | 16.8708 | 17.5589621527778 | 15.8315208333333 | 1.72744131944445 | -0.688162152777776 | | 69 | 16.923 | 17.2571788194444 | 15.8609083333333 | 1.39627048611111 | -0.334178819444443 | | 70 | 18.1138 | 16.4821020078502 | 15.8264916666667 | 0.655610341183574 | 1.63169799214976 | | 71 | 16.7716 | 15.2469204861111 | 15.7780833333333 | -0.531162847222224 | 1.52467951388889 | | 72 | 14.0299 | 13.7959141455314 | 15.7621708333333 | -1.96625668780193 | 0.233985854468600 | | 73 | 13.822 | 13.9708829861111 | 15.6824458333333 | -1.71156284722222 | -0.148882986111110 | | 74 | 14.2537 | 13.8589358846618 | 15.48325 | -1.62431411533816 | 0.394764115338164 | | 75 | 14.3985 | 14.3762779136473 | 15.2793583333333 | -0.903080419685988 | 0.0222220863526541 | | 76 | 15.2454 | 14.8644462107488 | 15.0731375 | -0.208691289251206 | 0.380953789251206 | | 77 | 15.6683 | 15.5066799064010 | 14.9063291666667 | 0.6003507397343 | 0.161620093599032 | | 78 | 16.1721 | 16.0581201237923 | 14.8849625 | 1.17315762379227 | 0.113979876207731 | | 79 | 14.8679 | 16.3396876962560 | 14.94745 | 1.39223769625604 | -1.47178769625604 | | 80 | 14.1948 | 16.7598954861111 | 15.0324541666667 | 1.72744131944445 | -2.56509548611111 | | 81 | 14.7056 | 16.5486704861111 | 15.1524 | 1.39627048611111 | -1.84307048611111 | | 82 | 15.3819 | 15.8850145078502 | 15.2294041666667 | 0.655610341183574 | -0.503114507850242 | | 83 | 15.5001 | 14.6965954861111 | 15.2277583333333 | -0.531162847222224 | 0.803504513888887 | | 84 | 14.7886 | 13.2019641455314 | 15.1682208333333 | -1.96625668780193 | 1.58663585446860 | | 85 | 14.563 | 13.4065996527778 | 15.1181625 | -1.71156284722222 | 1.15640034722223 | | 86 | 15.5528 | 13.5224775513285 | 15.1467916666667 | -1.62431411533816 | 2.03032244867150 | | 87 | 15.9781 | 14.2429112469807 | 15.1459916666667 | -0.903080419685988 | 1.73518875301933 | | 88 | 15.5139 | 14.8683795440821 | 15.0770708333333 | -0.208691289251206 | 0.645520455917874 | | 89 | 15.3603 | 15.5667590730676 | 14.9664083333333 | 0.6003507397343 | -0.206459073067633 | | 90 | 15.0512 | 15.9519242904589 | 14.7787666666667 | 1.17315762379227 | -0.900724290458937 | | 91 | 14.7874 | 15.9747960295894 | 14.5825583333333 | 1.39223769625604 | -1.18739602958937 | | 92 | 14.9624 | 16.0894871527778 | 14.3620458333333 | 1.72744131944445 | -1.12708715277778 | | 93 | 13.9188 | 15.4498954861111 | 14.053625 | 1.39627048611111 | -1.53109548611111 | | 94 | 14.5146 | 14.4345770078502 | 13.7789666666667 | 0.655610341183574 | 0.0800229921497593 | | 95 | 13.7115 | 13.0819704861111 | 13.6131333333333 | -0.531162847222224 | 0.629529513888894 | | 96 | 12.0738 | 11.5498058121981 | 13.5160625 | -1.96625668780193 | 0.523994187801934 | | 97 | 12.5688 | 11.7565579861111 | 13.4681208333333 | -1.71156284722222 | 0.81224201388889 | | 98 | 12.2547 | 11.7896775513285 | 13.4139916666667 | -1.62431411533816 | 0.465022448671498 | | 99 | 11.8741 | 12.4380362469807 | 13.3411166666667 | -0.903080419685988 | -0.563936246980676 | | 100 | 13.0261 | 13.0416545440821 | 13.2503458333333 | -0.208691289251206 | -0.0155545440821250 | | 101 | 13.8681 | 13.7947007397343 | 13.19435 | 0.6003507397343 | 0.0733992602657025 | | 102 | 14.2137 | 14.4196909571256 | 13.2465333333333 | 1.17315762379227 | -0.205990957125604 | | 103 | 14.4743 | 14.7202126962560 | 13.327975 | 1.39223769625604 | -0.245912696256038 | | 104 | 13.9764 | 15.1395913194444 | 13.41215 | 1.72744131944445 | -1.16319131944444 | | 105 | 13.1558 | 14.8999538194444 | 13.5036833333333 | 1.39627048611111 | -1.74415381944444 | | 106 | 13.0991 | 14.2252895078502 | 13.5696791666667 | 0.655610341183574 | -1.12618950785024 | | 107 | 13.7831 | 13.0652163194444 | 13.5963791666667 | -0.531162847222224 | 0.717883680555561 | | 108 | 13.2546 | 11.5757349788647 | 13.5419916666667 | -1.96625668780193 | 1.67886502113527 | | 109 | 13.3426 | 11.6672663194444 | 13.3788291666667 | -1.71156284722222 | 1.67533368055556 | | 110 | 13.5011 | 11.5801692179952 | 13.2044833333333 | -1.62431411533816 | 1.92093078200483 | | 111 | 12.8245 | 12.2214487469807 | 13.1245291666667 | -0.903080419685988 | 0.603051253019323 | | 112 | 13.6596 | 12.8610420440821 | 13.0697333333333 | -0.208691289251206 | 0.798557955917873 | | 113 | 13.8754 | 13.5808049064010 | 12.9804541666667 | 0.6003507397343 | 0.294595093599037 | | 114 | 12.9011 | 14.1209492904589 | 12.9477916666667 | 1.17315762379227 | -1.21984929045894 | | 115 | 11.871 | 14.3642460295894 | 12.9720083333333 | 1.39223769625604 | -2.49324602958937 | | 116 | 12.3954 | 14.7019704861111 | 12.9745291666667 | 1.72744131944445 | -2.30657048611111 | | 117 | 12.8179 | 14.4378788194444 | 13.0416083333333 | 1.39627048611111 | -1.61997881944444 | | 118 | 12.1219 | 13.8607645078502 | 13.2051541666667 | 0.655610341183574 | -1.73886450785024 | | 119 | 12.6176 | 12.8112163194444 | 13.3423791666667 | -0.531162847222224 | -0.193616319444441 | | 120 | 13.6362 | 11.4896224788647 | 13.4558791666667 | -1.96625668780193 | 2.14657752113527 | | 121 | 13.5422 | 11.9526704861111 | 13.6642333333333 | -1.71156284722222 | 1.58952951388889 | | 122 | 13.362 | 12.3196983846618 | 13.9440125 | -1.62431411533816 | 1.04230161533817 | | 123 | 14.5735 | 13.3867612469807 | 14.2898416666667 | -0.903080419685988 | 1.18673875301932 | | 124 | 15.8357 | 14.5768962107488 | 14.7855875 | -0.208691289251206 | 1.25880378925121 | | 125 | 14.9927 | 15.8925382397343 | 15.2921875 | 0.6003507397343 | -0.899838239734297 | | 126 | 14.5078 | 16.8994409571256 | 15.7262833333333 | 1.17315762379227 | -2.39164095712560 | | 127 | 15.2648 | 17.5657168629227 | 16.1734791666667 | 1.39223769625604 | -2.30091686292271 | | 128 | 15.7163 | 18.3098121527778 | 16.5823708333333 | 1.72744131944445 | -2.59351215277778 | | 129 | 17.7969 | 18.2579038194444 | 16.8616333333333 | 1.39627048611111 | -0.461003819444443 | | 130 | 19.0408 | 17.6187311745169 | 16.9631208333333 | 0.655610341183574 | 1.42206882548309 | | 131 | 17.8571 | 16.5062079861111 | 17.0373708333333 | -0.531162847222224 | 1.35089201388889 | | 132 | 18.815 | 15.2025266455314 | 17.1687833333333 | -1.96625668780193 | 3.6124733544686 | | 133 | 19.0961 | 15.5723079861111 | 17.2838708333333 | -1.71156284722222 | 3.52379201388889 | | 134 | 17.6215 | 15.7950525513285 | 17.4193666666667 | -1.62431411533816 | 1.8264474486715 | | 135 | 17.0163 | 16.5599987469807 | 17.4630791666667 | -0.903080419685988 | 0.456301253019323 | | 136 | 15.8286 | 17.1791753774155 | 17.3878666666667 | -0.208691289251206 | -1.35057537741546 | | 137 | 16.7818 | 17.9098715730676 | 17.3095208333333 | 0.6003507397343 | -1.12807157306764 | | 138 | 15.8726 | 18.3188951237923 | 17.1457375 | 1.17315762379227 | -2.44629512379227 | | 139 | 16.6621 | 18.2149168629227 | 16.8226791666667 | 1.39223769625604 | -1.55281686292271 | | 140 | 17.5709 | 18.1826746527778 | 16.4552333333333 | 1.72744131944445 | -0.611774652777775 | | 141 | 16.9914 | 17.5019871527778 | 16.1057166666667 | 1.39627048611111 | -0.510587152777777 | | 142 | 18.0412 | 16.4661353411836 | 15.810525 | 0.655610341183574 | 1.57506465881642 | | 143 | 16.9764 | 15.0053496527778 | 15.5365125 | -0.531162847222224 | 1.97105034722222 | | 144 | 15.7649 | 13.2620849788647 | 15.2283416666667 | -1.96625668780193 | 2.50281502113527 | | 145 | 14.3928 | 13.1665413194444 | 14.8781041666667 | -1.71156284722222 | 1.22625868055556 | | 146 | 13.5061 | 12.7915358846618 | 14.41585 | -1.62431411533816 | 0.714564115338165 | | 147 | 12.7433 | 13.0355654136473 | 13.9386458333333 | -0.903080419685988 | -0.292265413647344 | | 148 | 13.017 | 13.2277003774155 | 13.4363916666667 | -0.208691289251206 | -0.210700377415462 | | 149 | 13.0171 | 13.4653924064010 | 12.8650416666667 | 0.6003507397343 | -0.448292406400967 | | 150 | 12.2412 | 13.4631992904589 | 12.2900416666667 | 1.17315762379227 | -1.22199929045894 | | 151 | 11.8878 | 13.1875001962560 | 11.7952625 | 1.39223769625604 | -1.29970019625604 | | 152 | 11.2511 | 13.1493038194444 | 11.4218625 | 1.72744131944445 | -1.89820381944444 | | 153 | 11.8583 | 12.6114329861111 | 11.2151625 | 1.39627048611111 | -0.753132986111108 | | 154 | 11.1202 | 11.8932936745169 | 11.2376833333333 | 0.655610341183574 | -0.773093674516907 | | 155 | 10.185 | 10.8433829861111 | 11.3745458333333 | -0.531162847222224 | -0.658382986111107 | | 156 | 8.7563 | 9.62929331219807 | 11.59555 | -1.96625668780193 | -0.872993312198068 | | 157 | 9.5267 | 10.2875038194444 | 11.9990666666667 | -1.71156284722222 | -0.760803819444442 | | 158 | 9.4106 | 10.9712108846618 | 12.595525 | -1.62431411533816 | -1.56061088466184 | | 159 | 11.878 | 12.437369580314 | 13.34045 | -0.903080419685988 | -0.55936958031401 | | 160 | 14.4228 | 13.9440753774155 | 14.1527666666667 | -0.208691289251206 | 0.478724622584538 | | 161 | 14.896 | 15.7077965730676 | 15.1074458333333 | 0.6003507397343 | -0.811796573067634 | | 162 | 15.6664 | 17.5018576237923 | 16.3287 | 1.17315762379227 | -1.83545762379227 | | 163 | 18.147 | 19.0322668629227 | 17.6400291666667 | 1.39223769625604 | -0.885266862922705 | | 164 | 19.3069 | 20.7597996527778 | 19.0323583333333 | 1.72744131944445 | -1.45289965277778 | | 165 | 21.6807 | 21.8582788194444 | 20.4620083333333 | 1.39627048611111 | -0.177578819444438 | | 166 | 20.7934 | 22.2190895078502 | 21.5634791666667 | 0.655610341183574 | -1.42568950785025 | | 167 | 23.4241 | 22.0946454861111 | 22.6258083333333 | -0.531162847222224 | 1.32945451388888 | | 168 | 24.8273 | 21.9488099788647 | 23.9150666666667 | -1.96625668780193 | 2.87849002113527 | | 169 | 24.9276 | 23.3664746527778 | 25.0780375 | -1.71156284722222 | 1.56112534722222 | | 170 | 27.4256 | 24.5505608846618 | 26.174875 | -1.62431411533816 | 2.87503911533816 | | 171 | 28.1746 | 26.5021029136473 | 27.4051833333333 | -0.903080419685988 | 1.67249708635266 | | 172 | 24.5615 | 28.5092962107488 | 28.7179875 | -0.208691289251206 | -3.94779621074879 | | 173 | 30.2532 | 30.5795840730676 | 29.9792333333333 | 0.6003507397343 | -0.326384073067629 | | 174 | 31.2514 | 31.9154617904589 | 30.7423041666667 | 1.17315762379227 | -0.664061790458938 | | 175 | 30.4733 | 32.4079626962560 | 31.015725 | 1.39223769625604 | -1.93466269625604 | | 176 | 33.3047 | 32.9512621527778 | 31.2238208333333 | 1.72744131944445 | 0.353437847222221 | | 177 | 37.2103 | 32.7175454861111 | 31.321275 | 1.39627048611111 | 4.49275451388888 | | 178 | 36.7711 | 32.1892603411836 | 31.53365 | 0.655610341183574 | 4.58183965881642 | | 179 | 37.7163 | 31.3212871527778 | 31.85245 | -0.531162847222224 | 6.39501284722222 | | 180 | 28.8488 | 30.0390391455314 | 32.0052958333333 | -1.96625668780193 | -1.19023914553140 | | 181 | 27.4682 | 30.3009163194444 | 32.0124791666667 | -1.71156284722222 | -2.83271631944444 | | 182 | 29.8793 | 30.1525067179952 | 31.7768208333333 | -1.62431411533816 | -0.273206717995166 | | 183 | 28.0598 | 30.3300654136473 | 31.2331458333333 | -0.903080419685988 | -2.27026541364734 | | 184 | 29.7733 | 30.1322670440821 | 30.3409583333333 | -0.208691289251206 | -0.358967044082124 | | 185 | 32.6926 | 29.7337590730676 | 29.1334083333333 | 0.6003507397343 | 2.95884092693236 | | 186 | 32.4803 | 29.3316784571256 | 28.1585208333333 | 1.17315762379227 | 3.1486215428744 | | 187 | 29.4168 | 29.0392168629227 | 27.6469791666667 | 1.39223769625604 | 0.377583137077295 | | 188 | 28.7054 | 28.9026704861111 | 27.1752291666667 | 1.72744131944445 | -0.197270486111108 | | 189 | 28.7614 | 28.2970454861111 | 26.900775 | 1.39627048611111 | 0.464354513888889 | | 190 | 23.8075 | 27.5297603411836 | 26.87415 | 0.655610341183574 | -3.72226034118357 | | 191 | 21.6987 | 26.1325579861111 | 26.6637208333333 | -0.531162847222224 | -4.43385798611111 | | 192 | 21.4691 | 24.2290558121981 | 26.1953125 | -1.96625668780193 | -2.75995581219806 | | 193 | 22.5709 | 24.0606621527778 | 25.772225 | -1.71156284722222 | -1.48976215277778 | | 194 | 23.4546 | 23.9312983846618 | 25.5556125 | -1.62431411533816 | -0.476698384661834 | | 195 | 27.8976 | 24.5878237469807 | 25.4909041666667 | -0.903080419685988 | 3.30977625301932 | | 196 | 29.2965 | 25.4589712107488 | 25.6676625 | -0.208691289251206 | 3.83752878925121 | | 197 | 28.1191 | 26.5443007397343 | 25.94395 | 0.6003507397343 | 1.5747992602657 | | 198 | 25.812 | 27.4581534571256 | 26.2849958333333 | 1.17315762379227 | -1.64615345712560 | | 199 | 25.931 | 28.1501043629227 | 26.7578666666667 | 1.39223769625604 | -2.2191043629227 | | 200 | 26.9925 | 28.9880329861111 | 27.2605916666667 | 1.72744131944445 | -1.99553298611111 | | 201 | 28.9213 | 28.8917788194444 | 27.4955083333333 | 1.39627048611111 | 0.0295211805555624 | | 202 | 27.8898 | 27.8538228411836 | 27.1982125 | 0.655610341183574 | 0.0359771588164257 | | 203 | 24.2473 | 26.1419996527778 | 26.6731625 | -0.531162847222224 | -1.89469965277778 | | 204 | 27.1056 | 24.3450099788647 | 26.3112666666667 | -1.96625668780193 | 2.76059002113527 | | 205 | 28.2833 | 24.4547788194444 | 26.1663416666667 | -1.71156284722222 | 3.82852118055555 | | 206 | 29.8076 | 24.4796567179952 | 26.1039708333333 | -1.62431411533816 | 5.32794328200483 | | 207 | 27.1826 | 24.9711112469807 | 25.8741916666667 | -0.903080419685988 | 2.21148875301932 | | 208 | 22.8764 | 25.3247462107488 | 25.5334375 | -0.208691289251206 | -2.44834621074880 | | 209 | 21.938 | 26.0176299064010 | 25.4172791666667 | 0.6003507397343 | -4.07962990640097 | | 210 | 23.3076 | 26.4797159571256 | 25.3065583333333 | 1.17315762379227 | -3.17211595712561 | | 211 | 24.9572 | 26.4017251962560 | 25.0094875 | 1.39223769625604 | -1.44452519625604 | | 212 | 26.4694 | 26.3281954861111 | 24.6007541666667 | 1.72744131944445 | 0.141204513888887 | | 213 | 23.9297 | 25.7365579861111 | 24.3402875 | 1.39627048611111 | -1.80685798611111 | | 214 | 24.7033 | 25.1731478411836 | 24.5175375 | 0.655610341183574 | -0.469847841183576 | | 215 | 24.646 | 24.5576413194444 | 25.0888041666667 | -0.531162847222224 | 0.0883586805555545 | | 216 | 24.0496 | 23.7459349788647 | 25.7121916666667 | -1.96625668780193 | 0.303665021135266 | | 217 | 24.2096 | 24.4918704861111 | 26.2034333333333 | -1.71156284722222 | -0.282270486111109 | | 218 | 24.0717 | 25.1383108846618 | 26.762625 | -1.62431411533816 | -1.06661088466183 | | 219 | 26.6673 | 26.6404529136473 | 27.5435333333333 | -0.903080419685988 | 0.0268470863526602 | | 220 | 27.6457 | 28.4075087107488 | 28.6162 | -0.208691289251206 | -0.761808710748788 | | 221 | 30.8791 | 30.2365340730676 | 29.6361833333333 | 0.6003507397343 | 0.642565926932374 | | 222 | 29.3278 | 31.4657159571256 | 30.2925583333333 | 1.17315762379227 | -2.13791595712560 | | 223 | 30.7268 | 32.323037696256 | 30.9308 | 1.39223769625604 | -1.59623769625603 | | 224 | 34.1204 | 33.5151538194444 | 31.7877125 | 1.72744131944445 | 0.605246180555557 | | 225 | 35.0205 | 34.2223621527778 | 32.8260916666667 | 1.39627048611111 | 0.798137847222222 | | 226 | 39.3565 | 34.6272395078502 | 33.9716291666667 | 0.655610341183574 | 4.72926049214976 | | 227 | 34.4724 | 34.3692871527778 | 34.90045 | -0.531162847222224 | 0.103112847222228 | | 228 | 29.9762 | 33.9734974788647 | 35.9397541666667 | -1.96625668780193 | -3.99729747886474 | | 229 | 33.6008 | 35.6417829861111 | 37.3533458333333 | -1.71156284722222 | -2.04098298611111 | | 230 | 35.2464 | 37.2062733846618 | 38.8305875 | -1.62431411533816 | -1.95987338466183 | | 231 | 40.4137 | 39.3896862469807 | 40.2927666666667 | -0.903080419685988 | 1.02401375301933 | | 232 | 41.3922 | 41.2156378774155 | 41.4243291666667 | -0.208691289251206 | 0.176562122584542 | | 233 | 39.4243 | 42.999004906401 | 42.3986541666667 | 0.6003507397343 | -3.57470490640096 | | 234 | 45.7259 | 44.9024201237923 | 43.7292625 | 1.17315762379227 | 0.823479876207728 | | 235 | 48.2549 | 46.6807668629227 | 45.2885291666667 | 1.39223769625604 | 1.57413313707729 | | 236 | 52.0461 | 48.4931121527778 | 46.7656708333333 | 1.72744131944445 | 3.55298784722222 | | 237 | 52.1871 | 49.3593621527778 | 47.9630916666667 | 1.39627048611111 | 2.82773784722222 | | 238 | 49.3474 | 49.7994061745169 | 49.1437958333333 | 0.655610341183574 | -0.45200617451691 | | 239 | 47.8653 | 49.9648954861111 | 50.4960583333333 | -0.531162847222224 | -2.09959548611111 | | 240 | 48.5179 | 49.6129974788647 | 51.5792541666667 | -1.96625668780193 | -1.09509747886474 | | 241 | 52.4815 | 50.7096204861111 | 52.4211833333333 | -1.71156284722222 | 1.77187951388889 | | 242 | 51.8171 | 51.4736317179952 | 53.0979458333333 | -1.62431411533816 | 0.343468282004842 | | 243 | 52.5811 | 52.354982080314 | 53.2580625 | -0.903080419685988 | 0.226117919686004 | | 244 | 57.5617 | 52.9012503774155 | 53.1099416666667 | -0.208691289251206 | 4.66044962258455 | | 245 | 55.7091 | 53.5945840730676 | 52.9942333333333 | 0.6003507397343 | 2.11451592693237 | | 246 | 55.4378 | 54.0750201237923 | 52.9018625 | 1.17315762379227 | 1.36277987620774 | | 247 | 58.7493 | 53.8214210295894 | 52.4291833333333 | 1.39223769625604 | 4.92787897041063 | | 248 | 57.794 | 53.4414121527778 | 51.7139708333333 | 1.72744131944445 | 4.35258784722223 | | 249 | 50.282 | 52.6007913194444 | 51.2045208333333 | 1.39627048611111 | -2.31879131944444 | | 250 | 47.6976 | 51.3332353411836 | 50.677625 | 0.655610341183574 | -3.63563534118357 | | 251 | 46.7381 | 49.6136329861111 | 50.1447958333333 | -0.531162847222224 | -2.87553298611111 | | 252 | 47.4282 | 47.8315391455314 | 49.7977958333333 | -1.96625668780193 | -0.403339145531397 | | 253 | 42.2269 | 47.8201454861111 | 49.5317083333333 | -1.71156284722222 | -5.5932454861111 | | 254 | 44.9066 | 47.5347525513285 | 49.1590666666667 | -1.62431411533816 | -2.62815255132850 | | 255 | 47.2648 | 48.2335112469807 | 49.1365916666667 | -0.903080419685988 | -0.968711246980675 | | 256 | 50.2325 | 49.5493503774155 | 49.7580416666667 | -0.208691289251206 | 0.683149622584544 | | 257 | 50.2504 | 51.4464215730676 | 50.8460708333333 | 0.6003507397343 | -1.19602157306764 | | 258 | 52.5685 | 53.3282617904589 | 52.1551041666667 | 1.17315762379227 | -0.759761790458931 | | 259 | 55.2325 | 55.0283210295894 | 53.6360833333333 | 1.39223769625604 | 0.204178970410638 | | 260 | 52.3674 | 57.0048329861111 | 55.2773916666667 | 1.72744131944445 | -4.6374329861111 | | 261 | 55.1692 | 58.2584829861111 | 56.8622125 | 1.39627048611111 | -3.08928298611112 | | 262 | 57.7252 | 59.1207811745169 | 58.4651708333333 | 0.655610341183574 | -1.39558117451691 | | 263 | 62.8232 | 59.9951913194444 | 60.5263541666667 | -0.531162847222224 | 2.82800868055556 | | 264 | 62.7599 | 61.1941349788647 | 63.1603916666667 | -1.96625668780193 | 1.56576502113527 | | 265 | 62.4387 | 64.0911288194444 | 65.8026916666667 | -1.71156284722222 | -1.65242881944445 | | 266 | 64.0862 | 66.4584900513285 | 68.0828041666667 | -1.62431411533816 | -2.37229005132849 | | 267 | 66.1209 | 68.8255487469807 | 69.7286291666667 | -0.903080419685988 | -2.70464874698065 | | 268 | 69.8474 | 70.0327545440821 | 70.2414458333333 | -0.208691289251206 | -0.185354544082116 | | 269 | 80.1039 | 69.9157257397343 | 69.315375 | 0.6003507397343 | 10.1881742602657 | | 270 | 85.9319 | 68.389061790459 | 67.2159041666667 | 1.17315762379227 | 17.5428382095411 | | 271 | 85.2843 | 66.1571335295894 | 64.7648958333333 | 1.39223769625604 | 19.1271664704106 | | 272 | 77.0383 | 64.0895788194445 | 62.3621375 | 1.72744131944445 | 12.9487211805556 | | 273 | 69.9981 | 61.2949788194445 | 59.8987083333333 | 1.39627048611111 | 8.70312118055555 | | 274 | 55.2039 | 58.0377603411836 | 57.38215 | 0.655610341183574 | -2.83386034118357 | | 275 | 43.1188 | 54.0134621527778 | 54.544625 | -0.531162847222224 | -10.8946621527778 | | 276 | 32.077 | 49.5068641455314 | 51.4731208333333 | -1.96625668780193 | -17.4298641455314 | | 277 | 34.2974 | 46.6265246527778 | 48.3380875 | -1.71156284722222 | -12.3291246527778 | | 278 | 34.5613 | 44.0165942179952 | 45.6409083333333 | -1.62431411533816 | -9.45529421799517 | | 279 | 36.5235 | 42.6973279136473 | 43.6004083333333 | -0.903080419685988 | -6.17382791364734 | | 280 | 39.0474 | 42.2040712107488 | 42.4127625 | -0.208691289251206 | -3.15667121074878 | | 281 | 42.8033 | 43.1595965730676 | 42.5592458333333 | 0.6003507397343 | -0.356296573067631 | | 282 | 49.5164 | 44.9207201237923 | 43.7475625 | 1.17315762379227 | 4.59567987620773 | | 283 | 46.459 | 46.7750710295894 | 45.3828333333333 | 1.39223769625604 | -0.316071029589367 | | 284 | 51.1313 | 48.7606413194444 | 47.0332 | 1.72744131944445 | 2.37065868055556 | | 285 | 46.9331 | 50.1990871527778 | 48.8028166666667 | 1.39627048611111 | -3.26598715277778 | | 286 | 49.7654 | 51.4371145078502 | 50.7815041666667 | 0.655610341183574 | -1.67171450785024 | | 287 | 52.0729 | 52.0736288194444 | 52.6047916666667 | -0.531162847222224 | -0.000728819444439921 | | 288 | 51.6425 | 51.9501433121981 | 53.9164 | -1.96625668780193 | -0.307643312198067 | | 289 | 53.9784 | NA | 54.9632333333333 | NA | NA | | 290 | 54.4891 | NA | 55.8483416666667 | NA | NA | | 291 | 59.0665 | NA | NA | NA | NA | | 292 | 63.9929 | NA | NA | NA | NA | | 293 | 61.6167 | NA | NA | NA | NA | | 294 | 62.1816 | NA | NA | NA | NA | | 295 | 58.9178 | NA | NA | NA | NA | | 296 | 59.9151 | NA | NA | NA | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/1gwje1292175207.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/1gwje1292175207.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/2gwje1292175207.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/2gwje1292175207.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/39niz1292175207.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/39niz1292175207.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/49niz1292175207.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t1292175086heuj65pgqrngubd/49niz1292175207.ps (open in new window) |
| | | | Parameters (Session): | | par1 = 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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Privacy Policy
We may request personal information to be submitted to our servers in order to be able to:
- personalize online software applications according to your needs
- enforce strict security rules with respect to the data that you upload (e.g. statistical data)
- manage user sessions of online applications
- alert you about important changes or upgrades in resources or applications
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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