R version 3.0.2 (2013-09-25) -- "Frisbee Sailing" Copyright (C) 2013 The R Foundation for Statistical Computing Platform: x86_64-pc-linux-gnu (64-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- c(11.455804 + ,2.9332886 + ,6.2191311 + ,6.9153776 + ,4.9465626 + ,5.1345641 + ,3.0622244 + ,5.5872164 + ,7.655561 + ,16.656451 + ,3.2168822 + ,6.8287604 + ,1.03288 + ,3.4909358 + ,6.130999 + ,4.6384438 + ,7.9617834 + ,8.9458241 + ,2.4497795 + ,2.6329406 + ,6.1893723 + ,2.0414829 + ,1.0927938 + ,0.73493386 + ,3.5031847 + ,9.033562 + ,8.7579618 + ,4.899559 + ,6.3482659 + ,2.9117379 + ,3.2663727 + ,4.3329434 + ,3.2527249 + ,10.564674 + ,7.944759 + ,6.1244488 + ,3.2393779 + ,2.5294579 + ,2.9625241 + ,5.7379961 + ,9.7991181 + ,6.1244488 + ,15.716767 + ,7.464172 + ,2.3590469 + ,6.1197413 + ,12.20489 + ,5.5732484 + ,4.423213 + ,10.968499 + ,2.0029644 + ,7.8392945 + ,4.8253233 + ,3.3406084 + ,6.2782903 + ,2.0747318 + ,3.6746693 + ,5.4109208 + ,6.6348195 + ,3.3684468 + ,6.3553039 + ,4.899559 + ,4.749134 + ,2.4655845 + ,7.0431161 + ,2.5922086 + ,4.899559 + ,4.9865907 + ,3.075532 + ,4.3940856 + ,7.7248869 + ,14.382577 + ,9.634427 + ,5.7382223 + ,4.3388466 + ,4.4113344 + ,10.634978 + ,7.6963907 + ,11.660951 + ,1.384658 + ,1.4861996 + ,5.0862936 + ,9.0346479 + ,2.4497795 + ,7.1962273 + ,5.5120039 + ,3.2143846 + ,1.031706 + ,6.1244488 + ,6.4555001 + ,2.3437285 + ,4.899559 + ,3.9808917 + ,0.86855819 + ,6.7368937 + ,0.83195229 + ,4.5495905 + ,6.0088932 + ,8.6855819 + ,3.0622244 + ,1.5250024 + ,5.345367 + ,7.0431161 + ,6.1244488 + ,3.5956441 + ,3.676112 + ,2.0489884 + ,2.4497795 + ,3.0013006 + ,5.0752404 + ,4.4855118 + ,8.9530095 + ,1.0734989 + ,14.290381 + ,4.899559 + ,8.2680059 + ,3.4344948 + ,7.3493386 + ,4.8510486 + ,4.7283954 + ,5.5120039 + ,6.8086976 + ,2.6175726 + ,4.0256208 + ,5.4373155 + ,12.283894 + ,3.9808917 + ,4.0483645 + ,11.092494 + ,5.2057815 + ,3.122268 + ,3.9808917 + ,7.2640521 + ,5.8301389 + ,3.1919678 + ,3.9156312 + ,3.3328396 + ,4.6044049 + ,2.8467856 + ,1.0881709 + ,1.4329641 + ,3.8277805 + ,8.1148947 + ,7.464172 + ,5.8168281 + ,6.4337644 + ,2.5320159 + ,4.4960659 + ,1.7978221 + ,5.2057815 + ,0.31847134 + ,5.9144677 + ,10.1985 + ,4.7464478 + ,5.4284887 + ,4.2540191 + ,6.1244488 + ,4.899559 + ,7.9617834 + ,5.8519878 + ,4.1904123 + ,2.3382624 + ,7.9617834 + ,2.756002 + ,5.9429339 + ,2.1149176 + ,5.0526703 + ,3.1847134 + ,1.6472655 + ,5.2057815 + ,10.615711 + ,4.8131688 + ,9.933416 + ,5.678538 + ,3.5783296 + ,4.6161699 + ,8.0394371 + ,7.1451903 + ,7.4332435 + ,2.008016 + ,2.0029644 + ,3.2812198 + ,1.9935608 + ,9.3755581 + ,5.9713376 + ,9.7531847 + ,4.5933366 + ,7.0431161 + ,5.5975028 + ,6.255687 + ,2.7613122 + ,4.899559 + ,10.105341 + ,2.5697342 + ,7.7351672 + ,2.756002 + ,9.353908 + ,5.7758026 + ,5.0065363 + ,5.709151 + ,0.52581949 + ,2.1435571 + ,7.655561 + ,8.5742283 + ,3.1120978 + ,3.9769108 + ,3.7659204 + ,7.3493386 + ,1.0411563 + ,5.8182264 + ,0.22116065 + ,4.899559 + ,3.1070374 + ,3.8370041 + ,4.3866575 + ,3.7284449 + ,4.5933366 + ,6.3220117 + ,6.0509554 + ,4.3927081 + ,6.4306712 + ,5.7324841 + ,4.5933366 + ,3.6860109 + ,7.1560455 + ,7.0431161 + ,4.7770701 + ,9.4928956 + ,3.7913254 + ,3.3684468 + ,3.9808917 + ,5.7324841 + ,2.2058621 + ,1.9053841 + ,4.7770701 + ,2.3810941 + ,4.5569882 + ,7.9617834 + ,5.538632 + ,9.6630192 + ,5.2057815 + ,6.407874 + ,5.6962353 + ,39.808917 + ,4.5933366 + ,9.5694512 + ,8.5742283 + ,0.76253701 + ,5.7253274 + ,18.473419 + ,3.3641338 + ,4.732115 + ,2.1435571 + ,4.1340029 + ,7.6846912 + ,3.7052915 + ,5.4075133 + ,3.9676662 + ,6.0983873 + ,3.3174098 + ,11.722871 + ,3.7454626 + ,7.9617834 + ,2.5409947 + ,4.2200266 + ,4.4585987 + ,7.655561 + ,5.3841308 + ,5.6653097 + ,5.2057815 + ,5.4491294 + ,4.1141335 + ,11.889597 + ,3.0622244 + ,4.5627144 + ,4.899559 + ,0.82612539 + ,1.8373346 + ,6.27756 + ,4.7464478 + ,5.2057815 + ,3.2094011 + ,5.2057815 + ,5.8182264 + ,6.2394385 + ,11.811437 + ,5.8182264 + ,2.9047966 + ,4.1033807 + ,7.3493386 + ,0.50470893 + ,0.46972174 + ,4.6315084 + ,3.5985462 + ,6.4306712 + ,6.3694268 + ,4.3517823 + ,4.6848373 + ,3.9704432 + ,10.707113 + ,4.7464478 + ,9.8436595 + ,4.5062611 + ,5.463969 + ,4.199622 + ,3.1847134 + ,5.6267021 + ,2.1435571 + ,3.6746693 + ,5.7406851 + ,7.9617834 + ,1.378001 + ,5.1328714 + ,3.0622244 + ,6.8243858 + ,1.3132839 + ,5.5120039 + ,5.9395187 + ,6.5867908 + ,4.0946315 + ,6.6097825 + ,5.3524595 + ,2.0603506 + ,3.6396724 + ,6.5787506 + ,2.5142474 + ,5.3287527 + ,7.3493386 + ,9.0991811 + ,8.6660951 + ,2.1713955 + ,9.2993631 + ,2.8152162 + ,7.0431161 + ,7.4630507 + ,5.3928785 + ,3.2519961 + ,4.2871142 + ,5.9151437 + ,7.1349829 + ,11.636453 + ,5.1778246 + ,4.6540697 + ,0.77675936 + ,5.3841308 + ,11.198992 + ,7.4535845 + ,7.8115611 + ,8.2680059 + ,1.8515775 + ,4.512271 + ,3.7898089 + ,3.5713791 + ,10.615711 + ,5.5120039 + ,12.086732 + ,4.899559 + ,2.5875796 + ,3.1531816 + ,2.4419527 + ,3.8781215 + ,6.0776973 + ,5.47977 + ,8.7172811 + ,5.6543214 + ,7.6007479 + ,8.1065431 + ,2.3645204 + ,4.1904123 + ,5.6617127 + ,7.9617834 + ,5.8460648 + ,4.1218217 + ,5.0616149 + ,5.2488066 + ,4.099136 + ,12.327923 + ,25.076734 + ,5.8494735 + ,5.5120039 + ,3.0622244 + ,8.3204223 + ,0.89124441 + ,7.8283457 + ,4.3987754 + ,8.4503174 + ,0.23144719 + ,2.6724867 + ,3.5812038 + ,10.411563 + ,7.0063694 + ,9.5823234 + ,4.5933366 + ,6.7572332 + ,7.3493386 + ,10.394821 + ,6.5109696 + ,18.373346 + ,3.5649777 + ,9.0239812 + ,6.2101911 + ,6.4306712 + ,10.105341 + ,11.785314 + ,3.4702176 + ,4.2462845 + ,6.2554875 + ,13.609886 + ,6.4306712 + ,6.7368937 + ,5.8877054 + ,1.7416401 + ,10.436795 + ,5.1297397 + ,7.0117979 + ,10.564674 + ,9.0991811 + ,3.3075658 + ,3.558339 + ,7.3493386 + ,5.4927119 + ,1.561134 + ,12.15153 + ,4.7961201 + ,5.4140127 + ,6.6348195 + ,12.489072 + ,3.0622244 + ,5.984347 + ,7.5081651 + ,12.853238 + ,5.8182264 + ,7.556947 + ,2.3161552 + ,4.2871142 + ,11.33023 + ,3.2563531 + ,4.8253233 + ,9.9102912 + ,5.6068897 + ,4.153974 + ,4.8745613 + ,1.6634305 + ,3.2587765 + ,6.9665605 + ,10.227235 + ,2.8141797 + ,5.2057815 + ,10.49425 + ,9.7991181 + ,9.7640676 + ,7.9617834 + ,4.2871142 + ,7.0431161 + ,3.6419848 + ,6.5639131 + ,13.771734 + ,4.1513955 + ,2.5477707 + ,6.7368937 + ,4.2871142 + ,9.1866732 + ,5.8182264 + ,7.0431161 + ,4.1596256 + ,4.9761146 + ,5.1309919 + ,5.3588927 + ,2.6423386 + ,3.8216561 + ,4.5933366 + ,4.5924179 + ,5.5120039 + ,5.7555061 + ,4.0943318 + ,3.1800023 + ,6.9563705 + ,10.555395 + ,3.613127 + ,9.7644514 + ,2.7936082 + ,5.2057815 + ,4.6044049 + ,9.1866732 + ,8.1570315 + ,10.110201 + ,12.16923 + ,5.9883499 + ,16.229789 + ,7.5687886 + ,10.184616 + ,7.0035302 + ,4.1226063 + ,3.3843925 + ,4.8149014 + ,7.1202941 + ,3.6746693 + ,9.1866732 + ,6.130999 + ,2.756002 + ,5.8182264 + ,11.33023 + ,1.6003585 + ,1.3099078 + ,2.4430678 + ,4.0904575 + ,4.3498524 + ,11.12634 + ,0.68326578 + ,7.3162334 + ,4.899559 + ,6.7368937 + ,6.2650099 + ,3.3649802 + ,4.1690793 + ,5.2423265 + ,2.8204104 + ,8.5742283 + ,9.1866732 + ,4.1728932 + ,10.133179 + ,5.846666 + ,7.655561 + ,3.2497075 + ,5.6729184 + ,4.0946315 + ,7.3493386 + ,8.2009787 + ,5.2057815 + ,9.9522293 + ,2.9694297 + ,5.5120039 + ,5.5168263 + ,14.392455 + ,5.0526703 + ,10.42566 + ,6.2605477 + ,2.756002 + ,4.069356 + ,3.7671769 + ,2.2500692 + ,4.5987089 + ,1.5833092 + ,8.9214234 + ,20.845397 + ,4.899559 + ,4.0180588 + ,6.2520415 + ,3.4351965 + ,5.7449731 + ,5.9551551 + ,4.7842464 + ,4.0355397 + ,8.9419598 + ,9.1866732 + ,5.4595086 + ,5.8159123 + ,2.6407242 + ,2.4497795 + ,2.78953 + ,7.9123314 + ,5.9250481 + ,7.9617834 + ,4.0300385 + ,4.6115952 + ,5.1537484 + ,5.3078556 + ,7.6128607 + ,8.8804508 + ,3.3684468 + ,5.1644001 + ,4.7996567 + ,3.8026428 + ,2.5578013 + ,5.5120039 + ,13.469397 + ,7.0431161 + ,5.9713376 + ,11.071436 + ,3.1154805 + ,4.899559 + ,5.3588927 + ,3.7688916 + ,5.5501229 + ,2.1055956 + ,3.8680729 + ,7.3493386 + ,10.702018 + ,5.790388 + ,6.8898338 + ,6.5837825 + ,5.3323723 + ,3.4920103 + ,5.5547326 + ,9.6282032 + ,4.0880379 + ,2.3451498 + ,0.81381091 + ,3.7988629 + ,1.6116971 + ,9.6460069 + ,3.993371 + ,3.4663547 + ,9.9029957 + ,4.899559 + ,2.4880573 + ,3.9277041 + ,3.0622244 + ,4.9847688 + ,2.756002 + ,8.7334929 + ,2.1435571 + ,5.6714074 + ,2.5849946 + ,3.9808917 + ,10.411563 + ,5.2429237 + ,0.98293623 + ,3.9808917 + ,11.595623 + ,6.9993701 + ,5.9666761 + ,6.1244488 + ,6.4873791 + ,3.0399537 + ,2.388535 + ,8.4744901 + ,6.3517011 + ,5.2057815 + ,7.0337228 + ,5.7787138 + ,3.9808917 + ,1.0049056 + ,9.1281594 + ,5.1574306 + ,4.5933366 + ,1.8312102 + ,3.7512558 + ,6.1739193 + ,8.2680059 + ,5.104966 + ,8.5209722 + ,21.435571 + ,7.249754 + ,13.167565 + ,6.4306712 + ,13.609886 + ,5.6242179 + ,4.7926462 + ,13.221964 + ,8.2680059 + ,7.2793449 + ,12.55512 + ,7.4271562 + ,8.492569 + ,15.311122 + ,13.78001 + ,9.7991181 + ,3.9808917 + ,6.8858668 + ,2.7573276 + ,4.0884834 + ,7.655561 + ,2.6670013 + ,7.8358501 + ,3.6189925 + ,7.5126572 + ,5.5409263 + ,5.8182264 + ,5.1844171 + ,10.717785 + ,4.4855118 + ,7.5004465 + ,10.291713 + ,16.331863 + ,5.4190149 + ,5.6869882 + ,15.938603 + ,4.9330412 + ,9.9604204 + ,5.1412413 + ,7.3738364 + ,11.745042 + ,4.934063 + ,8.6855819 + ,9.2547226 + ,4.899559 + ,1.6359829 + ,4.0899572 + ,7.4468422 + ,7.8086722 + ,3.6746693 + ,5.1208114 + ,7.4387466 + ,8.3319302 + ,7.3091782 + ,5.0480305 + ,5.1760606 + ,5.3588927 + ,6.7368937 + ,2.9322169 + ,11.146497 + ,7.9355262 + ,7.1043606 + ,7.285292 + ,5.5676807 + ,14.147477 + ,8.8804508 + ,10.166585 + ,10.071316 + ,5.0271719 + ,5.3588927 + ,5.5120039 + ,4.2951311 + ,9.7991181 + ,9.1866732 + ,8.9825249 + ,7.5024498 + ,11.024008 + ,4.6976249 + ,12.310142 + ,7.655561 + ,8.6763025 + ,5.3524595 + ,5.4140127 + ,11.71596 + ,12.248898 + ,6.1244488 + ,2.5802076 + ,5.2380154 + ,8.4256984 + ,4.251088 + ,5.185836 + ,14.345556 + ,8.5742283 + ,2.5856937 + ,8.492569 + ,5.3588927 + ,9.6641629 + ,7.1025982 + ,6.3088617 + ,6.7472741 + ,5.2727043 + ,12.358589 + ,4.9488233 + ,11.769593 + ,5.1037073 + ,9.1866732 + ,10.105341 + ,5.8578419 + ,4.5933366 + ,11.636453 + ,0.33823707 + ,8.1242688 + ,3.3113228 + ,2.769316 + ,3.3641338 + ,4.4541446 + ,10.044096 + ,11.33023 + ,6.7368937 + ,4.6155266 + ,6.5837825 + ,4.9902916 + ,8.8192063 + ,3.5739561 + ,4.6605562 + ,4.7022614 + ,3.9291918 + ,9.820702 + ,3.5828025 + ,8.2680059 + ,6.4306712 + ,5.9416294 + ,3.9925282 + ,6.0661207 + ,8.5742283 + ,8.2680059 + ,11.99623 + ,12.119962 + ,6.3042108 + ,9.352576 + ,6.8403592 + ,7.2544724 + ,3.6557416 + ,6.9205039 + ,11.266675 + ,9.1866732 + ,3.5884094 + ,3.4551136 + ,9.7206055 + ,14.618356 + ,11.557428 + ,6.5981631 + ,3.9196472 + ,4.4541446 + ,5.2432643 + ,18.373346 + ,7.814343 + ,7.0063694 + ,13.491889 + ,7.1451903 + ,7.5513822 + ,7.9617834 + ,7.7351672 + ,8.7103272 + ,5.0516143 + ,4.899559 + ,2.6818639 + ,14.33633 + ,12.00392 + ,15.0049 + ,3.3587712 + ,10.411563 + ,4.8124558 + ,7.9617834 + ,8.2067614 + ,6.2814859 + ,22.911836 + ,5.2057815 + ,5.5547326 + ,4.0725235 + ,6.916015 + ,6.2738256 + ,13.081823 + ,1.8947029 + ,6.1048819 + ,8.3079479 + ,9.5066071 + ,9.7338418 + ,3.9808917 + ,7.655561 + ,9.7991181 + ,7.0415773 + ,6.1269035 + ,0.41521687 + ,5.2902216 + ,7.3493386 + ,5.5947667 + ,3.3307541 + ,9.0641842 + ,3.3862775 + ,6.6230765 + ,4.7131065 + ,7.3493386 + ,4.8658722 + ,7.2019751 + ,5.3078556 + ,17.692852 + ,9.7991181 + ,10.81064 + ,10.264991 + ,8.8804508 + ,9.2119808 + ,11.186208 + ,5.7842016 + ,11.352637 + ,5.9713376 + ,3.0622244 + ,15.311122 + ,7.381786 + ,8.7035645 + ,9.0991811 + ,7.7257198 + ,3.0622244 + ,4.6273613 + ,6.3694268 + ,4.6768518 + ,10.105341 + ,4.7770701 + ,9.7991181 + ,7.655561 + ,3.99964 + ,9.1866732 + ,13.480268 + ,9.6379484 + ,13.159973 + ,10.973544 + ,4.0385858 + ,8.8071086 + ,9.8036886 + ,17.318683 + ,9.1866732 + ,4.2392191 + ,3.9808917 + ,1.0944032 + ,9.2310533 + ,4.8737038 + ,10.170741 + ,4.6492166 + ,8.7652662 + ,2.6613204 + ,7.3528736 + ,8.8804508 + ,7.3493386 + ,6.3030786 + ,4.1093076 + ,4.5933366 + ,6.1244488 + ,10.207415 + ,11.024008 + ,6.12817 + ,9.7991181 + ,2.2037421 + ,5.9620219 + ,5.8182264 + ,2.7793862 + ,3.3777263 + ,7.979595 + ,2.1435571 + ,2.9675738 + ,2.7751399 + ,7.1962273 + ,12.738854 + ,7.7168055 + ,13.800425 + ,9.7491226 + ,10.105341 + ,10.748408 + ,9.4472372 + ,22.116065 + ,6.6878981 + ,7.760451 + ,10.317979 + ,2.6539278 + ,9.0641842 + ,5.4622228 + ,12.827318 + ,7.655561 + ,9.9697817 + ,20.414829 + ,7.0431161 + ,13.78001 + ,4.2019793 + ,8.5742283 + ,10.717785 + ,5.9710802 + ,10.991489 + ,6.6348195 + ,15.311122 + ,7.2243026 + ,4.028983 + ,2.3161552 + ,11.636453 + ,4.1721136 + ,4.5933366 + ,7.655561 + ,4.1646252 + ,3.7111464 + ,7.4412053 + ,5.4532763 + ,6.7759859 + ,9.6926059 + ,7.3493386 + ,6.2856185 + ,10.384935 + ,7.0171651 + ,2.6807352 + ,13.84658 + ,7.0431161 + ,3.8346815 + ,0.18462107 + ,7.0219868 + ,6.6589461 + ,5.8182264 + ,9.7991181 + ,3.5956441 + ,3.766536 + ,6.4306712 + ,4.2150618 + ,7.464172 + ,3.5361148 + ,7.361649 + ,7.041033 + ,6.7341957 + ,1.0424594 + ,3.0707475 + ,3.8837968 + ,2.2768282 + ,6.1856933 + ,16.798488 + ,8.9350676 + ,3.4491481 + ,8.5742283 + ,6.4467882 + ,7.5026651 + ,4.2914577 + ,3.6746693 + ,7.0147872 + ,4.899559 + ,7.1812164 + ,7.9047778 + ,6.6753817 + ,4.342791 + ,12.248898 + ,4.5495905 + ,4.4089975 + ,7.893734 + ,14.698677 + ,4.5495905 + ,7.516369 + ,8.0842724 + ,22.123968 + ,7.9940174 + ,18.462291 + ,7.0431161 + ,12.243292 + ,7.655561 + ,3.8277805 + ,7.5998842 + ,9.2162123 + ,11.636453 + ,5.199532 + ,2.994175 + ,7.2132397 + ,0.81659317 + ,7.4854374 + ,7.7748871 + ,6.7254817 + ,7.6203074 + ,8.0152182 + ,2.4674038 + ,12.397911 + ,14.297569 + ,2.6028907 + ,3.6746693 + ,1.6326282 + ,7.0431161 + ,3.5985462 + ,10.887909 + ,8.4211171 + ,7.2379849 + ,4.9248145 + ,8.8008473 + ,6.0792793 + ,4.3768213 + ,2.895194 + ,3.2663727 + ,4.9495545 + ,10.717785 + ,2.0445074 + ,7.2592731 + ,6.1244488 + ,4.2462845 + ,6.5919035 + ,9.9522293 + ,8.2680059 + ,7.6215363 + ,3.3188502 + ,6.5327454 + ,9.0474812 + ,3.694112 + ,8.4628747 + ,8.9825249 + ,8.336946 + ,2.2966683 + ,15.923567 + ,5.3674945 + ,6.1175285 + ,4.2816375 + ,11.024008 + ,7.655561 + ,5.6533374 + ,11.90391 + ,5.3343949 + ,5.4630561 + ,6.4306712 + ,8.2333703 + ,3.3121019 + ,6.6905743 + ,4.0829659 + ,4.7782646 + ,13.52581 + ,4.5150367 + ,5.1518685 + ,6.902827 + ,11.082336 + ,8.2325924 + ,8.632942 + ,5.8244268 + ,4.6584903 + ,4.6809435 + ,3.9808917 + ,13.859401 + ,6.7254817 + ,6.6450269 + ,9.9105113 + ,9.7991181 + ,3.5840826 + ,5.0526703 + ,3.3116604 + ,3.9512573 + ,16.854051 + ,4.4293649 + ,10.110201 + ,6.6668718 + ,3.5102051 + ,7.9617834 + ,6.7368937 + ,3.3684468 + ,2.5267318 + ,5.6617127 + ,6.4306712 + ,9.7991181 + ,3.9057806 + ,5.4140127 + ,7.1912883 + ,3.7309201 + ,4.7533035 + ,7.9895248 + ,4.841041 + ,7.8913252 + ,12.065434 + ,8.3960625 + ,4.899559 + ,10.411563 + ,5.3078556 + ,2.9091132 + ,6.8900049 + ,7.1063852 + ,2.1435571 + ,8.2566643 + ,5.9470638 + ,4.6044049 + ,13.167565 + ,4.899559 + ,5.199532 + ,5.8182264 + ,5.1122725 + ,6.255687 + ,10.947452 + ,7.0041806 + ,7.847343 + ,6.9695855 + ,6.6400397 + ,12.248898 + ,4.4657439 + ,4.8770496 + ,7.655561 + ,7.8392945 + ,12.950775 + ,6.414327 + ,4.7264966 + ,6.3247812 + ,9.9700329 + ,1.2550595 + ,11.758942 + ,7.655561 + ,9.1866732 + ,9.5066071 + ,4.209145 + ,7.6402499 + ,4.170458 + ,8.4211171 + ,21.873031 + ,6.3796342 + ,6.2752973 + ,3.7273754 + ,2.4454049 + ,6.3694268 + ,8.5742283 + ,9.5925102 + ,10.411563 + ,4.4134611 + ,9.7991181 + ,4.0059288 + ,3.7467216 + ,3.3544069 + ,5.5363395 + ,4.5036351 + ,6.0509554 + ,1.8699984 + ,15.923567 + ,4.3036667 + ,6.4773831 + ,6.9611221 + ,5.5479094 + ,12.926881 + ,9.5137069 + ,5.5120039 + ,5.4830072 + ,5.8692634 + ,4.1618413 + ,4.6545811 + ,7.9617834 + ,18.702176 + ,4.2314374 + ,12.744686 + ,6.8025478 + ,10.432682 + ,6.4207931 + ,0.42462845 + ,3.1100717 + ,6.7368937 + ,4.4096031 + ,2.1826696 + ,6.239919 + ,3.9667248 + ,3.0761436 + ,5.4354483 + ,4.8045245 + ,3.6746693 + ,4.683402 + ,3.9808917 + ,5.5120039 + ,5.8182264 + ,3.3352773 + ,4.3169251 + ,6.9205039 + ,4.14337 + ,4.9128972 + ,5.5732484 + ,15.923567 + ,8.3442272 + ,4.00413 + ,4.899559 + ,1.0484653 + ,3.8663337 + ,2.2781854 + ,0.15348016 + ,4.6954107 + ,4.804252 + ,4.2747831 + ,6.4306712 + ,5.0921654 + ,10.068145 + ,3.0622244 + ,4.3036667 + ,3.6396724 + ,3.3523299 + ,3.2587765 + ,8.1188444 + ,4.4541446 + ,6.5089032 + ,6.4306712 + ,5.1248261 + ,5.4867721 + ,13.78001 + ,11.072174 + ,6.1845449 + ,6.1244488 + ,4.899559 + ,3.3289687 + ,5.1935965 + ,8.8532573 + ,7.0431161 + ,7.0431161 + ,6.4306712 + ,4.1315201 + ,3.9196472 + ,5.1295556 + ,8.1065431 + ,10.717785 + ,6.8648929 + ,3.9371457 + ,6.7368937 + ,6.1639614 + ,1.935996 + ,5.2057815 + ,11.222323 + ,1.2962342 + ,6.1244488 + ,20.614742 + ,8.4335343 + ,8.9082892 + ,3.280168 + ,6.526052 + ,7.655561 + ,7.6215363 + ,8.1413725 + ,3.1980385 + ,6.8593827 + ,5.4861557 + ,7.2983015 + ,1.3673188 + ,4.9712599 + ,7.5659711 + ,6.8593827 + ,1.6331863 + ,4.4541446 + ,2.048646 + ,6.4380998 + ,1.4361729 + ,12.384996 + ,7.3187163 + ,3.9374638 + ,7.2255911 + ,5.9184939 + ,7.0431161 + ,6.1069504 + ,8.9082892 + ,8.1659317 + ,8.6056662 + ,5.3201708 + ,9.380599 + ,5.9916898 + ,7.5161163 + ,4.4096031 + ,10.044974 + ,4.0734706 + ,8.5742283 + ,4.5905778 + ,9.1646428 + ,6.4050101 + ,6.3262929 + ,9.4580815 + ,6.230961 + ,1.0704919 + ,11.942675 + ,10.176007 + ,2.3945213 + ,11.795235 + ,1.7515924 + ,3.6746693 + ,5.1182894 + ,6.6776248 + ,5.8115208 + ,4.7120759 + ,5.6012547 + ,6.6144047 + ,6.3838192 + ,11.636453 + ,5.2057815 + ,7.5073889 + ,3.81911 + ,4.3074221 + ,2.5376202 + ,3.3684468 + ,4.0829659 + ,3.5454215 + ,3.5385704 + ,5.2470206 + ,7.9617834 + ,8.8158156 + ,5.1886714 + ,8.2921748 + ,4.4386249 + ,10.050839 + ,5.8182264 + ,5.6036012 + ,4.3695276 + ,18.93964 + ,9.3120274 + ,9.7991181 + ,6.7177548 + ,5.8593211 + ,3.3011714 + ,11.548961 + ,6.8900049 + ,28.308563 + ,9.1866732 + ,8.5304823 + ,6.9107704 + ,12.356394 + ,8.2680059 + ,4.3126327 + ,11.022862 + ,8.0239466 + ,4.2690528 + ,7.3984226 + ,4.9914982 + ,9.7494604 + ,92.547226 + ,4.4637203 + ,2.3189661 + ,11.163177 + ,9.2310533 + ,5.9883499 + ,8.5742283 + ,4.2871142 + ,7.3737875 + ,4.5933366 + ,3.7913254 + ,5.0045496 + ,7.8392945 + ,8.3598726 + ,5.3978193 + ,9.7292669 + ,6.1392065 + ,5.7665592 + ,3.5451355 + ,4.0087301 + ,5.1160054 + ,5.4987857 + ,3.8512813 + ,5.5120039 + ,7.0836998 + ,7.655561 + ,6.3847502 + ,7.655561 + ,6.0048468 + ,4.6001415 + ,4.7784755 + ,7.6740081 + ,9.5466818 + ,13.473787 + ,6.9715119 + ,6.2257555 + ,6.9213621 + ,3.2364973 + ,13.167565 + ,3.8277805 + ,4.0996895 + ,9.8896829 + ,4.899559 + ,2.8886289 + ,11.636453 + ,2.2747953 + ,8.8119274 + ,6.8243858 + ,3.3736404 + ,3.9129584 + ,27.454426 + ,8.3580713 + ,6.3137175 + ,7.1266313 + ,2.7874953 + ,8.1659317 + ,4.5116773 + ,4.7464478 + ,3.3684468 + ,4.5933366 + ,5.6651151 + ,0.52509701 + ,5.3674945 + ,1.7860774 + ,4.0167556 + ,8.6395405 + ,2.9936306 + ,7.6619673 + ,4.2389125 + ,5.8593211 + ,7.6215363 + ,17.23347 + ,8.9046262 + ,7.5661684 + ,4.0846023 + ,7.9617834 + ,3.966242 + ,3.4821467 + ,4.2652411 + ,1.9337918 + ,10.499055 + ,2.9488087 + ,2.5325752 + ,8.1178968 + ,6.4306712 + ,3.2996835 + ,4.5333998 + ,2.3094368 + ,2.511024 + ,2.2419665 + ,3.6491507 + ,5.144537 + ,4.3203476 + ,4.8348046 + ,112.79193 + ,2.8266687 + ,2.5905504 + ,8.7961214 + ,3.3790062 + ,6.1244488 + ,1.961746 + ,3.8435029 + ,4.0829659 + ,2.6539278 + ,3.6087404 + ,5.6344929 + ,5.5120039 + ,4.899559 + ,1.9324717 + ,5.2057815 + ,6.4313584 + ,7.893734 + ,4.3342253 + ,7.0147872 + ,5.268432 + ,7.3493386 + ,5.0685094 + ,8.6596857 + ,9.4054035 + ,2.6152928 + ,11.263354 + ,6.1244488 + ,7.9216737 + ,5.9316169 + ,8.5742283 + ,3.9398516 + ,4.9261871 + ,2.0679957 + ,3.8663337 + ,7.9617834 + ,4.7180939 + ,1.6703042 + ,4.4437861 + ,8.3243993 + ,11.200782 + ,4.9761146 + ,3.2447411 + ,2.9652825 + ,4.1467622 + ,3.9664308 + ,5.4626301 + ,7.0890753 + ,14.623684 + ,6.3893046 + ,3.7031551 + ,7.3891262 + ,9.4928956 + ,11.65139 + ,6.7368937 + ,11.268986 + ,4.5512039 + ,4.2871142 + ,4.6044049 + ,3.9808917 + ,10.846945 + ,4.5964935 + ,3.3700671 + ,10.795639 + ,3.122268 + ,6.727021 + ,4.7668133 + ,4.1340029 + ,7.0186521 + ,8.5742283 + ,4.3649249 + ,5.7382223 + ,7.655561 + ,4.4402254 + ,2.1362886 + ,7.2106718 + ,5.0729948 + ,9.4783136 + ,5.5120039 + ,3.7913254 + ,10.593641 + ,8.0629187 + ,5.1819065 + ,8.2232974 + ,4.423213 + ,10.166585 + ,5.287712 + ,7.3588927 + ,8.5304823 + ,24.880573 + ,3.8299033 + ,15.311122 + ,9.9714051 + ,13.381921 + ,7.655561 + ,4.7775478 + ,5.3189367 + ,2.6305452 + ,4.1596256 + ,6.1244488 + ,4.1010394 + ,5.4207887 + ,6.1244488 + ,7.4235743 + ,10.07024 + ,3.899649 + ,6.1433514 + ,5.2018912 + ,5.5120039 + ,8.1659317 + ,4.5933366 + ,7.979595 + ,7.4703153 + ,7.0431161 + ,6.1132524 + ,6.8243858 + ,3.2663727 + ,7.742415 + ,10.564674 + ,4.516606 + ,1.5923567 + ,8.6752049 + ,5.4765165 + ,4.899559 + ,5.8976174 + ,7.8392945 + ,5.9319458 + ,6.1426222 + ,5.8197808 + ,2.8155619 + ,4.2564919 + ,5.5120039 + ,5.5608358 + ,10.441683 + ,7.655561 + ,3.0819807 + ,4.5933366 + ,3.7349518 + ,7.3493386 + ,3.1453959 + ,8.3292504 + ,5.538632 + ,6.410638 + ,10.411563 + ,1.6147842 + ,5.0270249 + ,6.5357924 + ,5.0674754 + ,3.0603852 + ,7.025103 + ,8.8804508 + ,2.0061187 + ,12.248898 + ,4.7315742 + ,11.231423 + ,5.0955414 + ,1.7296475 + ,4.899559 + ,6.1244488 + ,3.6746693 + ,3.2449772 + ,2.5275503 + ,7.4504762 + ,3.6746693 + ,3.3036446 + ,2.8478687 + ,4.7770701 + ,4.5951776 + ,4.7629784 + ,6.7368937 + ,0.35385704 + ,1.9730211 + ,4.8621578 + ,5.9806824 + ,1.3269639 + ,4.8862931 + ,3.2663727 + ,2.3371184 + ,4.2356953 + ,7.0458261 + ,0.39908689 + ,5.466202 + ,1.4262039 + ,2.8697417 + ,22.116065 + ,2.9973773 + ,4.8580374 + ,3.3406084 + ,7.655561 + ,4.5933366 + ,4.0829659 + ,4.2871142 + ,2.987536 + ,4.6545811 + ,5.5120039 + ,6.4306712 + ,7.7090964 + ,3.3273125 + ,4.4096031 + ,6.4500524 + ,3.5168614 + ,6.6438465 + ,3.814028 + ,4.028096 + ,2.1254094 + ,1.0669057 + ,10.698497 + ,5.5520427 + ,3.6746693 + ,4.696022 + ,6.1396837 + ,2.756002 + ,3.4286769 + ,3.629303 + ,6.8900049 + ,2.9869835 + ,7.2793449 + ,10.411563 + ,8.5687355 + ,6.3666586 + ,5.5120039 + ,3.4020677 + ,4.2255275 + ,3.9808917 + ,6.5723545 + ,5.8657977 + ,5.0021676 + ,6.1146497 + ,8.9082892 + ,5.6533374 + ,9.1866732 + ,1.4421344 + ,4.7662377 + ,3.5605491 + ,4.2274956 + ,7.0458261 + ,2.1231423 + ,7.5467142 + ,4.2871142 + ,4.5919123 + ,6.9358549 + ,3.6746693 + ,5.6200824 + ,5.8144145 + ,7.7205173 + ,10.474168 + ,8.1774151 + ,3.655921 + ,4.5933366 + ,5.3078556 + ,4.5933366 + ,8.8875722 + ,5.0955414 + ,7.6331346 + ,2.5332947 + ,3.899649 + ,6.5841265 + ,1.5165302 + ,4.2819676 + ,3.5934707 + ,4.342791 + ,5.790388 + ,2.076987 + ,6.1244488 + ,2.8562452 + ,5.5120039 + ,4.2871142 + ,7.1451903 + ,4.5387839 + ,2.9091132 + ,4.153974) > par3 = '512' > par2 = 'no' > par1 = '1' > ylab = 'Männer' > xlab = 'Dollar' > par3 <- '512' > par2 <- 'no' > par1 <- '1' > #'GNU S' R Code compiled by R2WASP v. 1.2.291 () > #Author: root > #To cite this work: Wessa, P. (2012), Kernel Density Estimation (v1.0.11) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_density.wasp/ > #Source of accompanying publication: http://www.xycoon.com/density_trace.htm > # > if (par1 == '0') bw <- 'nrd0' > if (par1 != '0') bw <- as.numeric(par1) > par3 <- as.numeric(par3) > mydensity <- array(NA, dim=c(par3,8)) > postscript(file="/var/wessaorg/rcomp/tmp/19q3i1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE) > mydensity[,8] = signif(mydensity1$x,3) > mydensity[,1] = signif(mydensity1$y,3) > plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > mydensity1 Call: density.default(x = x, bw = bw, kernel = "gaussian", na.rm = TRUE) Data: x (1727 obs.); Bandwidth 'bw' = 1 x y Min. : -2.847 Min. :0.000e+00 1st Qu.: 26.813 1st Qu.:0.000e+00 Median : 56.473 Median :5.000e-08 Mean : 56.473 Mean :8.421e-03 3rd Qu.: 86.132 3rd Qu.:3.574e-04 Max. :115.792 Max. :1.402e-01 > postscript(file="/var/wessaorg/rcomp/tmp/2cmuv1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE) > mydensity[,2] = signif(mydensity2$y,3) > plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3o56e1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE) > mydensity[,3] = signif(mydensity3$y,3) > plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4mq7o1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE) > mydensity[,4] = signif(mydensity4$y,3) > plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5xeis1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE) > mydensity[,5] = signif(mydensity5$y,3) > plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/650fj1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE) > mydensity[,6] = signif(mydensity6$y,3) > plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/76byi1415628196.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE) > mydensity[,7] = signif(mydensity7$y,3) > plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab) > grid() > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Properties of Density Trace',2,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Bandwidth',header=TRUE) > a<-table.element(a,mydensity1$bw) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'#Observations',header=TRUE) > a<-table.element(a,mydensity1$n) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/8adc01415628196.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Maximum Density Values',3,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Kernel',1,TRUE) > a<-table.element(a,'x-value',1,TRUE) > a<-table.element(a,'max. density',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Gaussian',1,TRUE) > a<-table.element(a,mydensity1$x[mydensity1$y==max(mydensity1$y)],1) > a<-table.element(a,mydensity1$y[mydensity1$y==max(mydensity1$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Epanechnikov',1,TRUE) > a<-table.element(a,mydensity2$x[mydensity2$y==max(mydensity2$y)],1) > a<-table.element(a,mydensity2$y[mydensity2$y==max(mydensity2$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Rectangular',1,TRUE) > a<-table.element(a,mydensity3$x[mydensity3$y==max(mydensity3$y)],1) > a<-table.element(a,mydensity3$y[mydensity3$y==max(mydensity3$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Triangular',1,TRUE) > a<-table.element(a,mydensity4$x[mydensity4$y==max(mydensity4$y)],1) > a<-table.element(a,mydensity4$y[mydensity4$y==max(mydensity4$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Biweight',1,TRUE) > a<-table.element(a,mydensity5$x[mydensity5$y==max(mydensity5$y)],1) > a<-table.element(a,mydensity5$y[mydensity5$y==max(mydensity5$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Cosine',1,TRUE) > a<-table.element(a,mydensity6$x[mydensity6$y==max(mydensity6$y)],1) > a<-table.element(a,mydensity6$y[mydensity6$y==max(mydensity6$y)],1) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Optcosine',1,TRUE) > a<-table.element(a,mydensity7$x[mydensity7$y==max(mydensity7$y)],1) > a<-table.element(a,mydensity7$y[mydensity7$y==max(mydensity7$y)],1) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/92ykl1415628196.tab") > if (par2=='yes') { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Kernel Density Values',8,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'x-value',1,TRUE) + a<-table.element(a,'Gaussian',1,TRUE) + a<-table.element(a,'Epanechnikov',1,TRUE) + a<-table.element(a,'Rectangular',1,TRUE) + a<-table.element(a,'Triangular',1,TRUE) + a<-table.element(a,'Biweight',1,TRUE) + a<-table.element(a,'Cosine',1,TRUE) + a<-table.element(a,'Optcosine',1,TRUE) + a<-table.row.end(a) + for(i in 1:par3) { + a<-table.row.start(a) + a<-table.element(a,mydensity[i,8],1,TRUE) + for(j in 1:7) { + a<-table.element(a,mydensity[i,j],1) + } + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/10cdfg1415628196.tab") + } > > try(system("convert tmp/19q3i1415628196.ps tmp/19q3i1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/2cmuv1415628196.ps tmp/2cmuv1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/3o56e1415628196.ps tmp/3o56e1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/4mq7o1415628196.ps tmp/4mq7o1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/5xeis1415628196.ps tmp/5xeis1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/650fj1415628196.ps tmp/650fj1415628196.png",intern=TRUE)) character(0) > try(system("convert tmp/76byi1415628196.ps tmp/76byi1415628196.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.472 0.466 3.960