Ajuste de modelo de regressão não linear
##-----------------------------------------------------------------------------
## Definições da sessão, pacotes a serem usados.
pkg <- c("lattice", "latticeExtra", "reshape",
"car", "alr3", "nls2", "nlstools", "rootSolve",
"plyr", "wzRfun")
sapply(pkg, library, character.only=TRUE, logical.return=TRUE)
## lattice latticeExtra reshape car alr3 nls2
## TRUE TRUE TRUE TRUE TRUE TRUE
## nlstools rootSolve plyr wzRfun
## TRUE TRUE TRUE TRUE
source("lattice_setup.R")
url <- "http://nls2.googlecode.com/svn-history/r4/trunk/R/as.lm.R"
## download.file(url, dest=basename(url))
path <- ifelse(Sys.info()["user"]=="walmes", basename(url), url)
source(path)
##-----------------------------------------------------------------------------
## Informações sobre as versões dos pacotes.
sessionInfo()
## R version 3.1.1 (2014-07-10)
## Platform: i686-pc-linux-gnu (32-bit)
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C LC_TIME=pt_BR.UTF-8
## [4] LC_COLLATE=en_US.UTF-8 LC_MONETARY=pt_BR.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=pt_BR.UTF-8 LC_NAME=C LC_ADDRESS=C
## [10] LC_TELEPHONE=C LC_MEASUREMENT=pt_BR.UTF-8 LC_IDENTIFICATION=C
##
## attached base packages:
## [1] stats graphics grDevices utils datasets base
##
## other attached packages:
## [1] wzRfun_0.1 plyr_1.8.1 rootSolve_1.6.5 nlstools_1.0-0
## [5] nls2_0.2 proto_0.3-10 alr3_2.0.5 car_2.0-21
## [9] reshape_0.8.5 latticeExtra_0.6-26 RColorBrewer_1.0-5 lattice_0.20-29
## [13] knitr_1.6
##
## loaded via a namespace (and not attached):
## [1] evaluate_0.5.5 formatR_0.10 grid_3.1.1 MASS_7.3-34 methods_3.1.1
## [6] nnet_7.3-8 Rcpp_0.11.2 stringr_0.6.2 tools_3.1.1
## obs: Para instalar um pacote faça:
## install.packages("nome_do_pacote", dependencies=TRUE)
Ganho de peso em perus em função da metionina na dieta
##-----------------------------------------------------------------------------
## Ajuste de modelo de regressão não linear.
## turk0
str(turk0)
## 'data.frame': 35 obs. of 2 variables:
## $ A : num 0 0 0 0 0 0 0 0 0 0 ...
## $ Gain: int 644 631 661 624 633 610 615 605 608 599 ...
xyplot(Gain~A, data=turk0, type=c("p","smooth"))
![plot of chunk unnamed-chunk-3 plot of chunk 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oEsNL/0yW88fN0VB5AGoCx75o/qkiK+LqNmbdI9ivtIA6CyN5GzEEQagMOsfvzs6oEXEZdPWad7En1IA1DKjteuaynS6LJEzkIQaQBKBF9FJEmN7Jw1uifRjzQARZaO71NZUvuMX2rqoc/WkAYg8OvCWze3F6lz8RRvfN6kF5AGJLz1T51bRdJOHbcssQ5ciIA0IKEVfja2q0+OuPQVc67BYhPSgMS1dUp2TfGdNP5r3YN4EWlAglo6pkuyZGZPic9LwTuPNCARrX3wWJHag6cbfcWFiiENSDgrx3URaTNyMTspy0MakFAKFw9tJr6TJqzVPYjnkQYkjoLFQ5sEu/Cj7kHiAWlAgtg/a/ARwS4k+KkRUSMNSAhLhzUROeaub3XPET9IA8z307j2ktT5npW654grpAGG2zShS+B1RM5W3XPEG9IAk+2a0i9NWo75TvcccYg0wFiF8wdXl1pDl+qeQ6+dj5/Xp98468d8kgYYauWoJpKaPStxrg6v9mljqdeluWS9ZvWBpAEm2vufPkly1Pifdc+h3arqjd4M3CzrlLLQ4iNJA8zzzbDaUvOmZbrH8ILs9KL9tbkN21t8JGmAYXLHt5eU7PmcIBG0u9Ll4dWDssLaQ0kDTFI4PztDmo//VfccXrFSHg+v3hOL7zaQBphj8/h2kpo9v0D3HN7xnUwKrxbJTGsPJQ0wROAXhnQ5agLXfT3YrvSrw6uH5StrDyUNMMK2fx8tKef8l3cYDnF+paK3Ibc3521IJKAPL60kLcet1z2GB63KajTXH9x5mTzP4iNJA+Ld5vGtpfKQBD/msUyLGkq9Ls0k8wWrDyQNiGuF87PTpEPOdt1zeNfOx8/reiYHSiOx/Da+jVTiF4ZycQ4FEk3RLomcbbrn8LbQC4rmvKBAwvhjcldJ7j+HXRLlW5UVPocieYHFR5IGxKNl12RKwzGcPRXR+VV+CN3uaMHOSxjv95wuktzvDX5hiIxDnpAwwu8wcD23qHCgNBLEZnZJWMLpVUgEoV8YjmaXhAWclA3zbX+0o6ScM5fTKi3hUi4w3JLLKkvzuzlLwqpV1cPnUKTMt/hI0gDv2/rI0ZI64C1+YYhB6LKxzbhsLMyTPys7TTpylkSsggdK/4UDpWGan0Y1kipR7ZL44IpuXc56Ls/xiRIFaYB35U/vkyzHRvULQ/51Uvnk3jWlC0dI2oQ0wKvWjWoY5S8MAcPlum1+/77nqrTf4+xUCYM0wJMK37soXdo+EO1L5NXJA4sWL8nDjs2UWEgDPCj3X+0kfdC7hVE/4F+yPLxq2dOZkRIOaYDXhN9h2GHlMTekFmcku6EDIyUi0gBv2TS+ZfTvMJS4MaX4oIcBje2eKEGRBnhI6EqPsRzDMFE+C2+hSW+bZ0pUpAGeUYFLQ6+vdFrR5RuekGdsnSlxkYbEtO/Z/l26XblE9xgH+/SKKtL8nlg/fGq89P3W7982NqU7V3ixB2lISKuOlnq9T64sl+/XPUnY3inHSco5b8Z+lkTh2FRp0DxF+v5m41QJjTQkot1tq0wN/BRuu06G6x4l5MfRR0j923+p4EbuPufMmxbZMxBIQ2J6SF4pWlyUslrvJAH7p/fxJfPx1p5DGhJR9yPDixXykNZB/P7NYxpI7VH6A4VDkYZEVP+C8KIw9W9aB/kgO11Omr5X6wxQIw2JqNH54UVByk36ptiV04WPsfUu0pCITmsaPqz4U3lC1wyb7mwgje6MdV8lHEcaEtHTMjF0m9+rkqafzWWXpsupM72y6xQKpCER5fdIGbvN7/+2rzyo4+l353SWKkNX6XhqRI00JKTtZ0lK8waSpmP/xM+j6kjTCZbOq4QGpCFBLbope+Dd69x/3iXZadJnFgcxeB9pgHvypnSRjCGf6x4D0SANcMv2f7WQ6res1T0GokMa4I51wzKlzaN/6B4D0SINcMOXF6fKqXN4iyGOkAY4Ln/6SVJp6ErdY8AS0gCH7Z7QSmqN2aR7DFhEGuCo3DF1pE0ObzHEH9IAB60bWlVO5CiGuEQa4JhP+iUlZy/WPQViQxrgkE/PTkr96xe6p0CsSAMc8cEZUmX4T7qnQOxIA+xXOOtEqTn+d91joCJIA+yWP6Wj1J/ATok4Rxpgr/wpR0nDHC73GPdIA+y0P6eFtJqyT/cYqDjSAPvsmdBM2kzJ0z0G7EAaYJe8p1tJi8n8xmAIPWm4VIp0Cax/K1qGdoBP65jR+LYy/9siDV6WP6WFtHmOC8EaQ08aVi4OWtQi+ImL6+ST/wXsCSwn+UYufKz6gLIeRRq8q/CV9tJiKh9SbRCdLyjGtQv+gvBVavHX27JGBf58S94u4/6kwasKpx8praZzqoRRNKZhbaWFwZsF9Yq/8Wzy5uBN50FlPIA0eNT0DtIghzcfDaMxDZeeEbqZ1rn4G1d1DN2MaFLGA0iDJ73bXerm8OajcfSlYU1y0Tl59ybV7jw8dAWgXv1C35joK+N/QKTBgz7rI9XHc+SjgfSlYVjXotuNy966v2vas4FVt0tC33hRcg/cK7d5jRJVZE4Fng8O+LKfr/Ko3Mj3Q/yZI1UO/Oy12Grx0RVIQ36dhw/66raUleo07LtlSIle8l7szwf7rcpOyhi1WfcUcMZ70uvAz94tVt9KqkAa3vH9ctBX+XXG+v29eUERT3aMykga+J3uKeAUbS8obuhR6suTA78xDDkmtBzZtIyHkAYPyX+ijvTmQi0G05aGRveX+rL10JKdl13Yeel901vLsQt1DwEn6UrDOvng4C/fkrnBQ55GB5bzOOTJ8z46QepP4Qgns+lKw+sSvgbQ9AueenvW6CoDg+tJvhHzJnKgtNf9mO2rNGan7ingMF1peLh6eLHs4qZpVY9/ojD0xbQO6Y1u5fQqT/t9VOWkIT/rngKO46RsWJGf00B6fKZ7CriANMCC9zpLy1m6h4ArSAOitm6Qr8rYXbqngDtIA6K09+5KSZf9qnsKuIU0IDrz20qf5bqHgHtIA6Kxtp80402GhEIaENneMZXSx+zWPQVcRRoQ0bzWctpK3UPAZaQBEWzMlrrTdQ8B15EGlCt/QrXkodt1TwH3kQaU56NOcgKnXick0oCy/TbYV3tKoe4poAVpQJlmNJQLfol8NxiJNKAMGwdIy7IunQHzkQYoFeZkpY7Zo3sK6EMaoLLudOn0pe4hoBNpwOEKxldOG88n1SU20oDDrDxZunAmVaIjDThE4FeG9PH7dU8B3UgDSvuuu3T7n+4hoB9pwMHyx1fiVwYEkQYc5NsT5bgVuoeAJ5AGHDCxatod7JhACGlAsS3nSJevdA8BryANCFvQIPk23mVAMdKAkF1DfK0/1T0EPIQ0IOiL9jLkd91DwEtIA4JHOWXUmKF7CHgLaYB//WnSc53uIeAxpAGz66SOz9c9BLyGNCS6XUN8rT7RPQS8hzQkuOVHyeAduoeAB5GGxPTz3xpI0rGP7JuQUYPPmIAKaUhI71RLPnPkTR0lS3r8qHsWeBNpSESbajYJHhH9QU1pvU/3LPAo0pCIbk1a6vcX3p9S92JZpnsWeBRpSESdj/f7158qZ/72s9yjexZ4FGlIRHUG+efVSZ1Q6PenX6d7FngUaUhEzfuPSW6wKLDYm3SL7lngUaQhEf0lVc7YHFzMrdC/fpiMNCSgxbXkxNCH3G5rV4fTLaFGGhJOwZiU+n2l/3u566e1SnpV9zTwKtKQaLb8RU7fnH9HJQloOkf3NPAs0pBgPmicPCZ4muXmqePvf5NLxKJMpCGhBF5M1HtH9xCIC6QhkeT2lz6bdA+B+EAavGaHc1d1/ryN72bOmUB0SIOnfHJhTUk99vECRzb+aEaN1xzZMExEGrxkckrmBaOubyV/2Wv/tjf0kdN5MYGokQYPWZJ0Sq4/eEqkDLV924saFu2ZAKJDGjzkL9W3FC0Gpvxm75bzxyQ3eNfeTcJwpME7CjIuC6/mib2fCvHrqdLX5tjAdKTBO7bIXeHVGvm3nRuee0ToBGzAAtLgHXuk+Azpz+UZ+zabN9TXgk+zhFWkwUOO7hj+f/s4WW7bRtccJ9nbbdsaEgZp8JDH5YHQ7dc1TrJtmzOqpeco/2L/VoKBcpAGD8k/Xc5f8MMXd2bW+MamLe4b6mulvDDsyoszRZrescum54F5SIOX7P57RvBc6VO+tWl7P50sZ+eq/mJeZsagcWN7StuNNj0TjEMavOW3GQ9MXmHXxmbVSlfvmfgls+2a4AuKmWmn2fVcMA1pMNa+Yb5WS9V/dUvynKIXFGPlQ3eHQtwgDab6X3sZuruMvzvmyEpFLyhayp2uDoX4QRoMlVOp6tQy/7J2Sts1wduZaUnXujYR4gtpMNIfg+XY78v+6+q+r4sWY+VidwZC3CENJvqyrQwt77zuasnha8w/Ixe4MhDiD2kw0IRI12ypLpeErhazsZnvKlcmQvwhDcbZeq50X1f+XVo2k56vrV4xsUGqb6Q7QyHukAbTfNg0aUyky0teWO2eGsFjqzrcLa+4MhTiD2kwS+H4lLrzIt7rXbnk99k5T368oVkjDpWGGmkwypb+0uPnKO43PPyCImOh4yMhTpEGk3zW0jc8qqvJFz5S9ILiE6cnQtwiDQZ5NL3m7GjvuzP4goJLP6FMpMEYfDQV7EQaTPFRkySuJg/7kAZDTEivNUf3DDAJaTDCtnOk+0+6h4BRSIMJvmztG+Xcp+giIZEGA0zIqPG67hlgGtIQ93YOluN+1D0EjEMa4t3/2pV/AjYQE9IQ516oWnWa7hlgItIQ13YNlg7f6R4CRiIN8eyn4+WCHbqHgJlIQxxbeETqI7pngKlIQ9wqGOVr9rnuIWAs0hCvtv5FTtuiewiYizR4zNYfojvg+atWvlGcTQXnkAZPefPEJJEG90Q+TuGlqtXecGEeJC7S4CVjpdHonAd7Stffy79f3hBpzz5LOIo0eMgC6bczePuk78py77ehhwyIEA+ggkiDh/SuF/6Bvzrp13Lu9lHD5PFcug0OIw3ekZ9S/Nm075f3b2VCep133RgHiY00eMdvcrffv/WLNX7/WplQ1p12D5ZuXLQFziMN3pGXNGzGccE9FP9YLFPKuM/aTnLlHlenQoIiDR7SrUZ4D0VdWam+x+L6KQ/yNgPcQBo8ZLi0/iN4e5vUV99hctoR77g5EBIYafCQXhnSZ8bSd4ZlVFXuodh3lfTKdX0oJCjS4B35KdeMqyYivvNeV/1b2XSy/I1rw8ItpME7gnsodi2Y/uov/jWKPRRft0jN0TAUEhVp8I68pKHh1ceH76F4I7P6PJfnQUIjDR7SrUX4BcPow/ZQjE9ut8r1eZDISIOHPCu3hPZMLqnUp/Rf7Bkkfbba/GTrl36+y+ZNwiSkwUMKBslxk+fPvCylcenPldjYXYbafG2G908UkfRL+WRtlIU0eEnBfXUDP7GpAzeU+u6yRra/Aflccv1/vjz1srSGvEpBGUiDt+Qvm7ngkPOtX6t6xPs2P8u3qd23BW8/yepcYPOmYQoH0lCwdtlHRSqwZZVESMPhxvjar7Z7m9emri1aPCLz7d42DGF7Gn69IkuKVWDLKomYht0XSn/7r9rS/tTwIldut33jMIPdaVjfWLqPfHhSkQpsWSUB07D1FBmSZ/9mj7i4eJVxjf1bhxHsTsP1Sa9VYHvlS7w0/NoxxZHPoGl9enixQ0Y7sX0YwO40tDirApuLIOHSsKJJZWcuG31ZpY1Fiykyx5EnQPyzOw3pYyuwuQgSIg1rli4vPofqzaoNv3LmSb5IPi10uNM39Y504OUKjGB3GlLuq8DmIkiANLzYTkSybgm98Tgtrd1ap57nPmn10LzZw6pk8cl4KIPdaajxfxXYXATmp+FmaXff9KfP9h2ZG9xpebKDF2d4NdggX3+OeEJZ7E5Dx0srsLkIjE/DbLloX/B2RvJFBX+T8yN/hlVFrHhtLodJo2x2p+GvmccfUIEtqxifhh6Ndxcthvr+LNfxiZbQye40vND2IBXYsorpadiffEN4NVd8ZV5tHnAF51B4R+hzKNa8s2z/j63k4sh3B5xEGrxjf/LQya1FpHLlyvK87mGQ6EiDh3TPCu6hGJYi1WSt7lmQ6OxMw96NFZslEuPT8Hdps9v/QlrbodJA9yhIeHamoVPS2/7jj2cPRcx6VJVu/X3tLkqp4VunexYkOjvT0FJe8bdlD0XM9iffMKlq8CpPV77New3Qzc405Dp0xH8x09Pwm9x1pfR7893fy/ukbMAdvA3pHfuTj5IrQhdkW8JvDdCNNHhHQR25tuhjsG9mDwV0Iw2eUXCZyDWho6PfTHPwqhdAVGxPQ960K/r+uchhH85WQWanoeByuf46Ofa+uc+c7Wu7IfL9AUfZnYadJ0py7bT0ugEZ51VgyypGp6HgCrm+0P9E/dAeim26pwHsTsM/fY/s8zcLXbTh+qMrsGUVk9NQcGWwDMHPoZj/rv1XkAYsszsN7c71+3fJjOByXM0KbFnF4DQUXCXXFeoeAjiI7deGvN/v31p0LdJ/p1ZgyyrmpqHwasoAj7H92pAPB/5ID+2VH5tVgS2rGJuGQBmupQzwFrvTUC/4NkPbS4LLvh0rsGUVU9NQOIQywHPsTsOfg3vkRye94N//lG9YBbasYmoabpJrKAO8xu40fLUs8EduC6mVIU3tviqpoWm4WS7l46rhOc4cDbn5lp6n/uO3CmxYycw0DKMM8CI9B0pfGv4o7S7BL6Z1zGh8W+gi6wcvFYxMw3DKAE/Sk4aVi4MWtRgeWE/yjVz4WPUB/tJLFRPTMEYu2B/5XoDrbL0A3D/Whm53/6nIBxEePa5d4BeEbVmjAsu35O1SSyUD0zBBBlAGeJKdaZgmRTHYWSXEd0v5D15baWHgz2eTNwe/6Dyo1FLJvDQ87+vDx9HCm+xMw4Bmpb7886nlP/jSM4J/XlV09MOIJqWWSsal4Z20jjt0zwCo2ZmGZgNLfTm0UbmPXZO8OHjTq1/oq4m+vIOXSqal4buajX7RPQNQBjvTUKX0K4g7q5T72GFdQzfdQkdOBn7scw9eHjBveombzErDxuZVl+meASjLR3LTgZ+9+VYfXToNqbeV+vKOlDzCw0kAABxrSURBVPIeml/n4dBthDSsl4NNtzqgXfZ+OP2DPfZucmfXlLn2bhGw0culfvTWW3x06TQ0uKrUl9fXKe+h7/iKfpnufeBVRG/VC4qvl5a4R9dvDbuHZQb+4VS5caeN28zvJ0/auDnAZh/LPQd+9lZYfXTpNPRrU+rLjj3Le+gNPYpuhxwTuhnZtNRSSdd7Dbu6y5nT5r94lnSz8SIrN8s/7NsYYDs732t4Ug7+DflDub+8hzYK/214j2WXQaWWSrrS8E+ZGLp9yvd327Y5QQZzShW8zM407Gvc8MA77lvbVy/vCofrwsdA+LdljQ78Oa/okKeSpZKmNOyv9efw6pysvTZtc2ZSbw5ogKfZeqD0eyn13wgvP2gn/ynvka9L8S/nk3wj5k0sPlC6ZKmiKQ1fyaTw6jn51J5NflipAwc0wNvsPYdiVqa0u+mx5yfd0klSnyj3kQ9XL1lO65De6NZ9hy4VNKXhfZkZXs0t8xcaa1bWrrfWlg0BjrH59Kp1l1cK7epIHeDA519qSsO3JR9AmSNf2LHBzS05oAGeZ/uZl3veeW7CM/Ps3M1XQlMaCuqdEH7H8E817TgXak8PDmiA9/HBdpHdL7cGL6lQeJeMtWFrBRdwQAPiAGmILD9b2t+Zc1dHOcuOvQqjZbQNWwEcRhqiUPBIOxFp/a98G7b1KAc0IC6QhuhsXGr1IHK1+akn7rZlQ4CzSIOrVlZvuVn3DEA0SIObtrfJ+k73DEBUSIOLCs/yvaZ7BiA6pMFF98hI3SMAUSIN7pmb9Gc+cgLxgjS4ZnWN5rmR7wV4A2lwy66OlW05AwNwBWlwyyB5XvcIQPRIg0seket0jwBYQBrcsSi1B5d1QjwhDa74pW6DDbpnAKwgDW7Yd0LaEt0zAJaQBjdcX3KhKCBOkAYXPC2X6R4BsIg0OO+zjC42fyge4DjS4LjNTWr/qHsGwCrS4LT83smWP2YY0I40OG203KV7BMA60uCw6b4BXAsScYg0OGt19ZZbdc8AxIA0OCrvhKrLdc8AxII0OGq4TNc9AhAT0uCkWb7LdY8AxIY0OOjXI9o58uGfgPNIg3PyT8lw4PPCAVeQBueMl3/pHgGIFWmIyk/Tcp63erTzhyn9OaIBcYs0RGH74CQRSbrI0gWht7eoz2fYIX6Rhsi2H5N8w4c/fHxzSnsrbchOftepgQDnkYbIbvS9Err9b9LV0T/oaRnl0DiAG0hDRHszzw+vBleKel/kN1VO3O/QPIAbSENEy+Xp8OqFqAfYfXTWD07NA7iBNES0WF4Jr/4rb0f5mKHyslPjAK4gDRGtlofCq8ckynOlXvdd6tQ0gDtIQ2QtOha9bZDfrUF0n3S9rkZbDpBGnCMNkT0rl+wN3OQNkceiun9+z7Rlzk4EOI40ROE6aTxs/PBmckV0RzfeLQ86PBDgONIQjddPSpbkE16JfMegD1L6cYA04h5piM7urbuivGduYw6QhgFIg90GJEW7hxPwMNJgs8kyQvcIgA1Ig72+r3rsXt0zADYgDbbKP7Hq97pnAOxAGmx1hzylewTAFqTBTp+l9NM9AmAP0mCjPe1rrdc9A2AP0mCjUfIf3SMANiEN9nk/6QLdIwB2IQ22+aNFvS26ZwDsQhpsc6PM0j0CYBvSYJe3fJfpHgGwD2mwydZGTXbongGwD2mwyRW+hbpHAGxEGuzxqtygewTATqTBFlvqt472eg5AXCANtrgw+UPdIwC2Ig12eJmLNMA0pMEGG2p14CINMAxpsEG/1M91jwDYjDRU3DMyRvcIgN1IQ4Wty+rGh2LDOKShogp7ZXyjewbAdqShoh6V+3WPANiPNFTQ95V7RvcZuUBcIQ0VU/CnSt/qngFwAGmomEf56FuYiTRUyOrKJ/NyAkYiDRVReGrGd7pnABxBGiriGblT9wiAM0hDBfxSrRMHO8FQpKECBqR+oXsEwCGkIXYzORUb5iINMdtar/Vu3TMATiENMbvS957uEQDHkIZYve27RvcIgHNIQ4z+aNaYz52AwUhDjIbLf3WPADiINMRmSdJFukcAnEQaYrKvQ53fdM8AOIk0xOQOeUH3CICjSENUFt856o73Cku+/DrtbF2TAO4gDVH4rrsEHbci/HX+8dV/1TMJ4BbSENmv9as+tNG/+ZGsOj8WfWOCTNIyCOAe0hDZX1OXhG6Xpg8I3a6u3LuwvPsDBiANEe1IvzK8uiFliz94dflKK3XMAbiJNES0VKaGVzNkceDPZ+U+HWMAriINEX0g08Or2bLA799Ys2u+jjEAV5GGiH6Su8OrhyTwSiI7dbmOKQB3kYbIjmm+M3S7u00bv3+OjNQyBOAu0hDZHF/vTYGbLX1lhv+Pxq24fgsSAWmIwuMplc8eck7VlIf9/ht8i/TMALiLNETjy8GNajQctNTv/zDpMk0jAO4iDVbkdThii+YRAHeQBisekGc0TwC4hDRYsKZyL46QRoIgDRacmf693gEA15CG6M2Q27U+P+Ai0hC1bfXa7tX5/ICbTE/DvpeHDrnlbVveIfib7107NgPEBcPT8HFzSa+RIsevrfizf5h0ccU3AsQLs9PwedXGM/b4dzya2XRjRZ88r0NtriGNBGJ2Gk6sWXTJtveThlT0yR+UyRXdBBBHjE7DahkbXg2ollex515T+WQOaUAiMToNb8g74dW/ZU3FnvvM1K8rtgEgvhidhumyJLx6Qr6p0FO/Iv+o0OOBeGN0Gj6WJ8OrG1N+r8gzb6vfkqs0ILEYnYb8Rh32hBaba55eoWe+Ud6q0OOBuGN0GvwvyJkbAjffHJP2WUWe+MOkgRV5OBCHzE6D/67kjN7ZJyZVfbkiz5vXsfqGijweiEOGp8G//Op2NY8Z8VOFnvcheaxCjwfikOlpsMGayifunzVsyM2v8fETSCCkIaIzU18+SlJrpEnbT3U8PaAFaYhkplxRvdYzO/27nq9TnSu5IGGQhgi2129+VuUVoeWqzL7uPz+gB2mI4BaZmnp9eD08aZP7AwBakIbyLUs+71OZFv5iprzv+gCAHqShXPldM3/+UIqPipglC90eANCENJRrovzLv95XfLXYuyp6/iYQN0hDeX7J6pTv93eruy301Y5GR7v8/IA2pKE8FyYHD2V4J/mE4G8L63omzXX5+QFtSEM5/ivXhW5fqJTSM/tPqRnPuvv0gEakoWy7WzXYUbRaPbRDi6Nv4IAnJBDSULbb5QVXnw/wENJQpm/S+rj5dICnkIayFPbMWOXi0wHeQhrKMlXGuPhsgMeQhjL8VrsdH36LBEYayjDE9557TwZ4DmlQW8KH3yKxkQalvKNrVPgDdIF4pi8Nbw5ulflF4PY3CQku/dM6ZjS+bV9Zj3AxDQ/I4249FeBJutKw9bRao+evDlZgnXzyv4DgZ8lM8o1c+Fj1AWU9xr00rKl8YoFLTwV4k6Y05B3XKze8/Cq1+JvbskYF/nxL3i7jQe6l4ezUr1x6JsCjNKXhgeYln0G5oF7x6tnkzcGbzoPKeJBraXhdhrvzRIBn6UlDYZMDH/oyrXPx6qqOoZsRTcp4lFtp+KNxs12uPBHgXXrS8J0MO6FGlZ7vBNf3JtXuPHxlcNWrX+gvJ/ry1I9yKw23yExXngfwMD1peFnOePr9OdkpwTZsXPbW/V3Tng2sul0S+ssXJffAPXed36fE0TK/ArNG7YuUs9x4GsDT5svRB372sq3+Hh1rGh7PDN307FH8jdtSVqrTsP3kLiWaixtXWSo4ruo6F54G8La50vzAz97J2y0+OtY0TEgP3fy7SvE38uuM9ft7e+IFRY6Md+FZAI/T84JiioR+P/mPlOynODnwG8OQY0LLkU3LeJQradhSu12Zx1wBiUNPGr6QecGbB7IKi7/TemjJzssuWndeXul71/knATxP03ENrQcG/sjvWBKBt4JvI2zLGh1YztN6yNNC35WOPwcQBzSl4c3kqxYtPKPWWr9/+gVPvT1rdJVgKvyTfCPmTdR6oPTeNkfkRr4XYD5d51DM71E5s993gcWyi5umVT3+iaJXFtM6pDe6VefpVffKM04/BRAXOCn7YD9UOrUw8r2ABEAaDnZG6tcOPwMQJ0jDQWbKaGefAIgbpOGAPxq12O3oEwDxgzQc8Hd509HtA3HE9DRsHtevz3mTojo35IuUcy1vHjCV4Wl4NUuad6knTT6LfNeC46r+FMtUgJHMTsP8lE7LAjdzG9VYHfG+k+XBmKYCjGR2Go5stDV0+036BZHuuqlmp/2xDAWYyeg0/E8eCq8uq7Qnwn0vS/o0lpkAQxmdhlfl/fDqUYnwqdfv+IbENBNgKKPT8EpJGh6T78u9Z177OltjGwowk9Fp+FImhFdXZpR/MNN4mRLbTIChjE5D4ZFNin4XWF05u9w7rqncK9ahADMZnQb/vOTwzsus8t9qODO9/NcbQMIxOw3+5zNDhzw1er/ce70mt8U8FGAmw9Pg3zSub9dzIxwo/UfjlpxWBZRmehqiMULecmS7QBwjDf4vU8p/jxJIRKSh8KRqGxzYLBDfSMNT8rADWwXiXMKnYWudDmV8jh6QyBI+DVckR3EtByDhJHoa3vNda/s2AQMkeBryjq5v9dPBgYSQ4Gl4UKbavUnACImdhrWcVgWoJXYazuO0KkAtodMwW/5h7wYBYyRyGnY25dOqgDIkchpu49OqgLIkcBq+STvHzs0BRkncNBT2jP7TqjaM6dmlxz9/tfHZAY9L3DRMk/ujvevsar4OfY5Jypxp49MD3pawadha95hoP63qo7QOXwZuvu6cusi+5we8LWHTcL1vcbR3PfmIjaHbLQ262vf8gLclaho+Sro82rtu8hVfVPYuWWfbAIC3JWga8rvU3hLtfT+Sl8KrN+QduwYAPM70NKwZeVKXU+89LAMT5cmoN/FJyT+i1+Q9ywMA8cnwNDyanty5z5FSa27pb/+a1b0w6m1sTbk5vBrtW291ACBOmZ2G130nrw7cfNSq8opS378o9SsLW+lXtegkrJ9rcJ4mEobRaShs0fqP0GJt5lkHf3++DLOymW8zG7yW78+f07Tyl9aeH4hfRqdhqTweXl2XtvPAt/e0bvS7pe2830SyWlSTRrwJicRhdBpekeJjFx6Xgy7McKfMsPjMe6dcln3pM5ymiQRidBpelUVrRp7Y8tR7tzwqq0u++336X2weDDCP0Wn4Vs4O76HoVXVfyXdPr7S6nMcACDI6Df5mcnxoD0UTOfCLwutyu61TAUYyOg2F9X2tFxT4816o6etT/L2dTVryngEQkdFpWCpD60jNFlXkyAtL9lAMk/m2DwaYx+g0zJAPfn9icPYVL+VNku+KvvV58oX2DwaYx+g0HDjn4ZHwHoqCbtU32DsUYCaj0/Ct3BteDQzvoXhSJtg7E2Aoo9Pg71S36HeEpSmDQ7eba3bKt3kowExmp2FJepvZe/w7HqtVt+gKsVckfWr/WICJzE6Df34dSa+RIu2/CX31nu8a24cCzGR4Gvy7pw3OvnpO0auIvKPrbLV7JsBQpqfhYA/Ks/YMApgvgdLwc+ap0V/aCUhwCZSGAalf2zUJYLzEScMcGWHbJIDxEiYNu1s222XfKIDpEiYN/yev2jcJYLxEScO3af1tnAQwXqKkoU8VPpMOsCBB0vCS3G3nJIDxTE/D8qvbtzh2xIp6R+6LfF8AJQxPw93JGb2zuyel+viwSsASs9PwgpwZPCt7pi9pmRMDAeYyOg35jTrs8Qcv7VStxumOTAQYy+g0fCxPBm9yZOKNKdY+yg5IdEanYbosCfy5qcZxBU/IN46MBJjK6DS8IcEPsL0s+TP/v2WNIyMBpjI6DatlrN//edKVfv+AannOzAQYyug0+E+s+aP/+8G5/kVJVzsyEWAss9PwedVGM/b4dzya2WSjIxMBxjI7Df6PmoUuG3v8WgfGAUxmeBr8+14eOuTvb3PhN8Ai09MAICakAYACaQCgQBoAKJAGAAqkAYACaQCgQBoAKJAGAAqkAYACaQCgQBoAKJAGAAqkAYACaQCgYHoaFp9fv0bTq751YBrAaIan4e++aucP+Ut62pNOzAMYzOw0TJYLdwRufj4p+QMnBgLMZXQa9tc9sSC02FHvT/aPA5jM6DQskWfDq+FJ2+2eBjCa0Wl4WT4Mr3Jkhe3jACYzOg2zZEF49bD8aPs4gMmMTsOP8o/wql/N/baPA5jM6DT4T80sOqJhru9G+8cBTGZ2Gr6pWXtyrv/nuzLa5joyEWAss9Pg/18HCfozH3kJWGN4GvwF88aMuvtTB4YBzGZ6GgDEhDQAUCANABRMT8Oc3hmSNeAzB6YBjGZ2GgqHSv2rR/01K2WSIwMB5jI7DQ/L1XsDN1v6+OY7MRBgLqPTkFez5KTs7g7MAxjM6DR8IFPDq1s4KRuwxOg0cFI2ECuj0zBb5s8O7aH49CFOygYsMToNv/g6FO2hSD6ydr4zMwGGMjoN/iPl3NAeimNkoBMDAeYyOg37qqdm3rd661fDU1KPc2YkwFRGp+F9ue+k4DnZvuy/+bY6MxNgKKPT8JJ86P9swvjHvmcPBWCR0WmYLcUHQT4k62wfBzCZ0Wn4xTcyvDqzToHt4wAmMzoN/r6Vl/kLtgWPfRoZ+c4ADjA7DWvqVWqZLlVbJXf63ZGJAGOZnYb8c6XIGCfmAQxmdhrGybVLJox/7JM/yxxHJgKMZXQa9tU8tTC02N34RAfmAQxmdBrel+fDq5Ec8gRYYnQaXpKPwqvJHPIEWGJ0GubIW+HVAxzyBFhidBp+8Q0Lr3pzyBNgidFp8PettCx0yyFPgEVmp2FNvcqjP/th0RVJHPIEWGN2Gvw/nBI84Cl50DYn5gEMZnga/P5Vz9734nr7ZwEMZ3waAMSCNABQ0JeGNwe3yvwiuJjWMaPxbfv8hywVSAPgGl1p2HpardHzVwcrMMk3cuFj1Qf4Sy9VSAPgGk1pyDuuV27RalvWqMCfb8nbpZZKpAFwjaY0PNC8+ECDZ5M3B286Dyq1VIotDTu37onhUUCC05OGwiaPFS+v6hi6GdGk1FIphjQUTu2cJKm95ke+J4CD6UnDdzLshBpVer4TWPbqF/rORF/ewcsDNv1QYkIsV3lqM3L8jfXknzEOCiSqj2XCgZ+9TVYfHWsaXpYznn5/TnZKoA3dLgl950XJPXhZYmOKHGSmxee5W0YEP+ty5/nyRoyTAglq5sE/eSkbLT461jQ8nhm66dkjYhoKpuaUuEqWWHuaPVmnFy32tegc46RAgloiVx342Ztq9czlWNMwIT108+8qfn/vA68ieqteUBzE8nsN78p/wqtbZUsscwIJS897DVNkV/DmP/K7f8gxoe+MbOo/eKlkOQ3/OegqT19bnxJIYHrS8IXMC948kFVYvMeyy4Gdl11s23k5t+QqT/fLz7FNCiQoTcc1tB4Y+CO/46DgcU6jA8t5RYc8lSyVLKdhY9JN4VWvBoWxjgokJE1peDP5qkULz6i11h88OnrEvInFB0qXLFWsH9dwXvr7odsn+YwawBpd51DM71E5s993oeW0DumNbt136FLBehp+bZYevMrT5b6Td8c8KZCQDD8pe0N/n4ikXrfLiXkAgxmeBr9/1ZScFzfYPwtgOOPTACAWpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAKpAGAAmkAoEAaACiQBgAK8ZWGbn2s6173lBgepU3v+sfpHsGSVu11T2BJp8a6J7CkR92e2p67WxylYXm3LjFoJkfG8jBdOkpD3SNYkpGlewJL6ojuCSxpJW30PXm35RX4YXU3DbGZIst0j2DFr3Kf7hEsaX+67gksGZqkewJLZskC3SPEiDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4hDTYjjQ4ijS4JB7SMDXe0nC/7hEsIQ1Omi0LdY8Qo3hIw9qhO3WPYEX+37/SPYIlOdN1T2DJojt0T2DJxr/l6h4hRvGQBgCuIw0AFEgDAAXSAECBNABQIA0AFEgDAAXSAECBNABQIA0AFEgDAAUPp2Fax4zGt+0r+2uPOXy8V5K26RomskPGXdj3iGpdpxRqHCiC0vPmTzq+SsbR4/brnKhciv9YF6bepGmY2Hg3DZN8Ixc+Vn1AmV97zOHjTU4V76bhkHGnVB42+80bfGN1jlSuQ+bdePoTC2cPTRqqc6TyKP5j/apWA9Jgi21ZowJ/viVvl/G1xxw23sJTG93l3TQc9k93RfDPa7Ly9Y1ULvW//b/V0DNNRIpxtzaZ/GfSYItnkzcHbzoPKuNrjzlsvFvH7Vzs3TSo/2m+LOu1TBOZet6xzbUME5li3AHX+EmDPa7qGLoZ0aSMrz1GNZ6H06D+p/lE2m4dw0RBNe+2ybVe1TNNRIeP+2SbXaTBJr36hW4m+vLUX3uMajwPp0H9T7P7pRpGicrh827KkKqva5sngsPG3VzjfT9psEm3S0I3L0qu+muPUY3n4TQo/2neXderrycU8+Z/+fqFqY9pG6h8h417+cV+0mAX0uAk1bgPVFuqaZrI1P/2n075Tss0ER067pfpP/lJg116H/I72aFfe4xqPA+nQTHu/9X4VNc0kan/7RfWv03LNBEdOu7Aq4J/kgZ7DDkmdDOyaRlfe4xqPA+n4fBx7635haZZolHGv/0ul7s/SjQOHTc1vUpAcmqV+dpGss6zaQjv/+kyqIyvPUY1nofTcNi4czOW6JsmsjL+7dcepWOYyA4dd1VIj8tW7dI4lFWeTcO2rNGBP+cFjxrZuzi/1NdedOi4QR5Ow6Hj5rW+U/dI5VL94/X7n5OPNM5UDvW4vKCwySTfiHkTQ8ea3hL6zJcDX3vSoeP6PZ2GQ8ddIG98EfSz7rnKcsi8D1/0zLzXb07z7M+a4r8G0mCfaR3SG90aPENlcpVXS33tTYeO6+00HDLuU1LkGt1jlan0vO+d1yC1Wo8XdA9VtsP/ayANAExAGgAokAYACqQBgAJpAKBAGgAokAYACqQBgAJpAKBAGgAokAYACqQBgAJpAKBAGgAokAYACqQBgAJpAKBAGgAokAYACqQBgAJpAKBAGgAokAYACqQBgAJpQER/1Kjxh+4Z4DbSgIgeEvmX7hngNtKASPIa9+/aOE/3FHAZaUAkU2T+VJmiewq4jDQgkk5H+vfV6aJ7CriMNCCCD+Rxv/92+Uj3HHAXaUAEA7N2+v2/plysew64izSgfOtTrw3enJe2SfckcBVpQPnuks+DN/NknO5J4CrSgHIVNDu26LZpi0LNo8BVpAHlmie3/xxyo8zXPQvcRBpQroFS4kLds8BNpAHlyU3vMzusW3qu7mngItKA8jwic4qXT8ojOieBy0gDytOpXn7xcnvGsTongctIA8rxpdx84IuBskzfJHAbaUA5bpJPD3zxplynbxK4jTQAUCANABRIAwAF0gBAgTQAUCANABRIAwAF0gBAgTQAUCANABRIAwAF0gBAgTQAUCANABRIAwAF0gBAgTQAUCANABRIAwAF0gBAgTQAUCANABRIAwAF0gBAgTQAUPh/ioveR8xWd/kAAAAASUVORK5CYII=)
##-----------------------------------------------------------------------------
## Valores iniciais baseados na interpretação gráfica.
## Modelo: th0+th1*x/(th2+x);
start <- list(th0=625, th1=800-625, th2=0.1)
xyplot(Gain~A, data=turk0)+
layer(with(start, panel.curve(th0+th1*x/(th2+x))))
![plot of chunk unnamed-chunk-3 plot of chunk 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)
##-----------------------------------------------------------------------------
## Ajuste.
n0 <- nls(Gain~th0+th1*A/(th2+A), data=turk0,
start=start)
summary(n0)
##
## Formula: Gain ~ th0 + th1 * A/(th2 + A)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 622.2417 6.2028 100.32 < 2e-16 ***
## th1 235.2169 22.5603 10.43 8.1e-12 ***
## th2 0.1548 0.0406 3.81 0.00059 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 20.1 on 32 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 1.18e-06
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n0)),
panel.curve(th0+th1*x/(th2+x), col=2)))
![plot of chunk unnamed-chunk-3 plot of chunk 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)
##-----------------------------------------------------------------------------
## Intervalos de confiança.
## Baseado na log-verossimilhança.
confint(n0)
## Waiting for profiling to be done...
## 2.5% 97.5%
## th0 609.65652 634.7144
## th1 196.53695 290.9141
## th2 0.09408 0.2665
## Baseado na aproximação quadrática da verossimilhança, conhecido como
## intervalos de Wald ou assintóticos. São simétricos por construção.
confint.default(n0)
## 2.5 % 97.5 %
## th0 610.0844 634.3990
## th1 190.9996 279.4343
## th2 0.0752 0.2343
##-----------------------------------------------------------------------------
## Valores iniciais baseados na interpretação gráfica.
## Modelo: th0+th1*(1-2^(-x/th2))
start <- list(th0=625, th1=800-625, th2=0.1)
xyplot(Gain~A, data=turk0)+
layer(with(start, panel.curve(th0+th1*(1-2^(-x/th2)))))
![plot of chunk unnamed-chunk-3 plot of chunk 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)
n1 <- nls(Gain~th0+th1*(1-2^(-A/th2)), data=turk0,
start=start)
summary(n1)
##
## Formula: Gain ~ th0 + th1 * (1 - 2^(-A/th2))
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 622.9581 5.9009 105.57 < 2e-16 ***
## th1 178.2519 11.6356 15.32 2.7e-16 ***
## th2 0.0973 0.0165 5.91 1.4e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 19.7 on 32 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.34e-06
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n1)),
panel.curve(th0+th1*(1-2^(-x/th2)), col=2)))
![plot of chunk unnamed-chunk-3 plot of chunk 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)
confint(n1)
## Waiting for profiling to be done...
## 2.5% 97.5%
## th0 610.9709 634.8552
## th1 156.3227 204.4767
## th2 0.0709 0.1396
confint.default(n1)
## 2.5 % 97.5 %
## th0 611.39253 634.5236
## th1 155.44658 201.0573
## th2 0.06505 0.1296
##-----------------------------------------------------------------------------
## Explorando o conteúdo dentro da estrutura do objeto.
## Estrutura do objeto.
str(n1)
## List of 6
## $ m :List of 16
## ..$ resid :function ()
## ..$ fitted :function ()
## ..$ formula :function ()
## ..$ deviance :function ()
## ..$ lhs :function ()
## ..$ gradient :function ()
## ..$ conv :function ()
## ..$ incr :function ()
## ..$ setVarying:function (vary = rep_len(TRUE, length(useParams)))
## ..$ setPars :function (newPars)
## ..$ getPars :function ()
## ..$ getAllPars:function ()
## ..$ getEnv :function ()
## ..$ trace :function ()
## ..$ Rmat :function ()
## ..$ predict :function (newdata = list(), qr = FALSE)
## ..- attr(*, "class")= chr "nlsModel"
## $ convInfo :List of 5
## ..$ isConv : logi TRUE
## ..$ finIter : int 4
## ..$ finTol : num 2.34e-06
## ..$ stopCode : int 0
## ..$ stopMessage: chr "converged"
## $ data : symbol turk0
## $ call : language nls(formula = Gain ~ th0 + th1 * (1 - 2^(-A/th2)), data = turk0, start = start, algorithm = "default", control = structure(list(maxiter = 50, tol = 1e-05, minFactor = 0.0009765625, ...
## $ dataClasses: Named chr "numeric"
## ..- attr(*, "names")= chr "A"
## $ control :List of 5
## ..$ maxiter : num 50
## ..$ tol : num 1e-05
## ..$ minFactor: num 0.000977
## ..$ printEval: logi FALSE
## ..$ warnOnly : logi FALSE
## - attr(*, "class")= chr "nls"
n1
## Nonlinear regression model
## model: Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## data: turk0
## th0 th1 th2
## 622.9581 178.2519 0.0973
## residual sum-of-squares: 12367
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.34e-06
## Estrutura do summary do objeto.
sn1 <- summary(n1)
str(sn1)
## List of 11
## $ formula :Class 'formula' length 3 Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv>
## $ residuals : num [1:35] 21.04 8.04 38.04 1.04 10.04 ...
## $ sigma : num 19.7
## $ df : int [1:2] 3 32
## $ cov.unscaled: num [1:3, 1:3] 0.090096 -0.05547 0.000102 -0.05547 0.350306 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## $ call : language nls(formula = Gain ~ th0 + th1 * (1 - 2^(-A/th2)), data = turk0, start = start, algorithm = "default", control = structure(list(maxiter = 50, tol = 1e-05, minFactor = 0.0009765625, ...
## $ convInfo :List of 5
## ..$ isConv : logi TRUE
## ..$ finIter : int 4
## ..$ finTol : num 2.34e-06
## ..$ stopCode : int 0
## ..$ stopMessage: chr "converged"
## $ control :List of 5
## ..$ maxiter : num 50
## ..$ tol : num 1e-05
## ..$ minFactor: num 0.000977
## ..$ printEval: logi FALSE
## ..$ warnOnly : logi FALSE
## $ na.action : NULL
## $ coefficients: num [1:3, 1:4] 622.9581 178.2519 0.0973 5.9009 11.6356 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:4] "Estimate" "Std. Error" "t value" "Pr(>|t|)"
## $ parameters : num [1:3, 1:4] 622.9581 178.2519 0.0973 5.9009 11.6356 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:4] "Estimate" "Std. Error" "t value" "Pr(>|t|)"
## - attr(*, "class")= chr "summary.nls"
## Erro padrão residual.
sn1$sigma
## [1] 19.66
cbind(sn1$parameters, confint.default(n1))
## Estimate Std. Error t value Pr(>|t|) 2.5 % 97.5 %
## th0 622.95806 5.90089 105.57 2.856e-42 611.39253 634.5236
## th1 178.25193 11.63559 15.32 2.744e-16 155.44658 201.0573
## th2 0.09732 0.01647 5.91 1.409e-06 0.06505 0.1296
##-----------------------------------------------------------------------------
## Colocando as curvas no mesmo gráfico.
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n0)),
panel.curve(th0+th1*x/(th2+x), col=2)))+
layer(with(as.list(coef(n1)),
panel.curve(th0+th1*(1-2^(-x/th2)), col=4)))
![plot of chunk unnamed-chunk-3 plot of chunk 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)
## Soma de quadrados dos resíduos (menor melhor).
deviance(n0)
## [1] 12982
deviance(n1)
## [1] 12367
## R² (maior melhor).
cor(turk0$Gain, fitted(n0))^2
## [1] 0.9188
cor(turk0$Gain, fitted(n1))^2
## [1] 0.9226
## R² com quadro de anova.
R2nls(n0)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 146882 73441.2 181 0
## 2 residuals 32 12982 405.7 NA NA
##
## $R2
## [1] 0.9188
R2nls(n1)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 147497 73748.7 190.8 0
## 2 residuals 32 12367 386.5 NA NA
##
## $R2
## [1] 0.9226
##-----------------------------------------------------------------------------
## Colocar bandas de confiança.
## Modelo escrito como função dos parâmetros (theta).
f <- function(theta, xx){
with(as.list(theta), th0+th1*(1-2^(-xx/th2)))
}
## Matriz de derivadas parciais em theta (n x p).
gradient(f, x=coef(n1), xx=c(0.0, 0.2, 0.4))
## th0 th1 th2
## [1,] 1 0.0000 0.0
## [2,] 1 0.7594 -627.8
## [3,] 1 0.9421 -302.2
pred <- data.frame(A=seq(0, 0.5, l=20))
## pred$fit <- f(theta=coef(n1), xx=pred$A)
pred$fit <- predict(n1, newdata=pred)
der <- gradient(f, x=coef(n1), xx=pred$A)
str(der)
## num [1:20, 1:3] 1 1 1 1 1 ...
## - attr(*, "dimnames")=List of 2
## ..$ : NULL
## ..$ : chr [1:3] "th0" "th1" "th2"
## Etapas até o IC passando pelo erro padrão e margem de erro.
F <- der
U <- chol(vcov(n1))
pred$se <- sqrt(apply(F%*%t(U), 1, function(x) sum(x^2)))
tval <- qt(p=c(lwr=0.025, upr=0.975), df=df.residual(n1))
me <- outer(pred$se, tval, "*")
pred <- cbind(pred, sweep(me, 1, pred$fit, "+"))
str(pred)
## 'data.frame': 20 obs. of 5 variables:
## $ A : num 0 0.0263 0.0526 0.0789 0.1053 ...
## $ fit: num 623 653 679 700 717 ...
## $ se : num 5.9 4.4 4.76 5.34 5.61 ...
## $ lwr: num 611 644 669 689 706 ...
## $ upr: num 635 662 688 710 728 ...
## Equação do modelo ajustado.
coef(n1)
## th0 th1 th2
## 622.95806 178.25193 0.09732
formula(n1)
## Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## Arredonda as estimativas.
theta <- mapply(round,
x=coef(n1), digits=c(2,2,4),
SIMPLIFY=FALSE)
theta
## $th0
## [1] 623
##
## $th1
## [1] 178.2
##
## $th2
## [1] 0.0973
## Equação.
formula(n1)
## Gain ~ th0 + th1 * (1 - 2^(-A/th2))
eq <- substitute(
expr=expression(Gain==th0+th1*(1-2^(-A/th2))),
env=theta)
eval(eq)
## expression(Gain == 622.96 + 178.25 * (1 - 2^(-A/0.0973)))
## Observados, preditos e a banda de confiança.
xyplot(Gain~A, data=turk0)+
as.layer(xyplot(fit~A, data=pred, type="l",
prepanel=prepanel.cbH, cty="bands",
ly=pred$lwr, uy=pred$upr,
panel=panel.cbH))+
layer(panel.key(points=FALSE, text=eval(eq),
corner=c(0.95,0.05)))
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)
Consumo de energia em função da temperatura
##-----------------------------------------------------------------------------
## Consumo de energia (KWH/dia) em função da temperatura (F).
str(segreg)
## 'data.frame': 39 obs. of 2 variables:
## $ Temp: num 8.55 10.66 12.45 16.9 20.52 ...
## $ C : num 86.2 72.4 74.1 68.2 72.4 ...
xyplot(C~Temp, data=segreg, type=c("p","smooth"))
![plot of chunk unnamed-chunk-4 plot of chunk 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)
##-----------------------------------------------------------------------------
## Ajuste do modelo platô linear.
## f(x) = th0+th1*(x-th2)*(x>=th2)+0*(x<th2)
start <- list(th0=75, th1=0.5, th2=50)
xyplot(C~Temp, data=segreg)+
layer(with(start,
panel.curve(th0+th1*(x-th2)*(x>=th2)+0*(x<th2))))
![plot of chunk unnamed-chunk-4 plot of chunk 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)
## Ajuste.
n2 <- nls(C~th0+th1*(Temp-th2)*(Temp>=th2)+0*(Temp<th2),
data=segreg, start=start)
## Estimativas e medidas de ajuste.
summary(n2)
##
## Formula: C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 74.695 1.343 55.61 < 2e-16 ***
## th1 0.567 0.101 5.64 2.1e-06 ***
## th2 41.951 4.658 9.01 9.4e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.37 on 36 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 9.32e-09
## Valor de F e R².
R2nls(n2)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 2098 1049.07 36.34 2.308e-09
## 2 residuals 36 1039 28.87 NA NA
##
## $R2
## [1] 0.6687
## Intervalos de confiança.
confint(n2)
## Waiting for profiling to be done...
## Error: step factor 0.000488281 reduced below 'minFactor' of 0.000976562
confint.default(n2)
## 2.5 % 97.5 %
## th0 72.0626 77.3281
## th1 0.3703 0.7646
## th2 32.8212 51.0812
## Observados e preditos.
xyplot(C~Temp, data=segreg)+
layer(with(as.list(coef(n2)),
panel.curve(th0+th1*(x-th2)*(x>=th2)+0*(x<th2), col=2)))
![plot of chunk unnamed-chunk-4 plot of chunk 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)
##-----------------------------------------------------------------------------
## Análise dos resíduos.
m2 <- as.lm(n2)
par(mfrow=c(2,2)); plot(m2); layout(1)
![plot of chunk unnamed-chunk-4 plot of chunk 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)
##-----------------------------------------------------------------------------
## Colocar bandas de confiança.
f <- function(theta, xx){
with(as.list(theta), th0+th1*(xx-th2)*(xx>=th2)+0*(xx<th2))
}
## gradient(f, x=coef(n1), xx=c(0.0, 0.2, 0.4))
pred <- data.frame(Temp=sort(c(seq(10, 80, l=100),
coef(n2)["th2"]+c(-0.001,0,0.001))))
pred$fit <- predict(n2, newdata=pred)
der <- gradient(f, x=coef(n2), xx=pred$Temp)
str(der)
## num [1:103, 1:3] 1 1 1 1 1 ...
## - attr(*, "dimnames")=List of 2
## ..$ : NULL
## ..$ : chr [1:3] "th0" "th1" "th2"
F <- der
U <- chol(vcov(n2))
pred$se <- sqrt(apply(F%*%t(U), 1, function(x) sum(x^2)))
tval <- qt(p=c(lwr=0.025, upr=0.975), df=df.residual(n2))
me <- outer(pred$se, tval, "*")
pred <- cbind(pred, sweep(me, 1, pred$fit, "+"))
str(pred)
## 'data.frame': 103 obs. of 5 variables:
## $ Temp: num 10 10.7 11.4 12.1 12.8 ...
## $ fit : num 74.7 74.7 74.7 74.7 74.7 ...
## $ se : num 1.34 1.34 1.34 1.34 1.34 ...
## $ lwr : num 72 72 72 72 72 ...
## $ upr : num 77.4 77.4 77.4 77.4 77.4 ...
## Equação do modelo ajustado.
coef(n2)
## th0 th1 th2
## 74.6953 0.5674 41.9512
formula(n2)
## C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
## Arredonda as estimativas.
theta <- mapply(round,
x=coef(n2), digits=c(2,4,2),
SIMPLIFY=FALSE)
theta
## $th0
## [1] 74.7
##
## $th1
## [1] 0.5674
##
## $th2
## [1] 41.95
## Equação.
formula(n2)
## C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
eq <- substitute(
expr=c(
expression(C==th0~", se"~Temp<th2),
expression(C==th0+th1*(Temp-th2)~", se"~Temp>=th2)),
env=theta)
eval(eq)
## expression(C == 74.7 ~ ", se" ~ Temp < 41.95, C == 74.7 + 0.5674 *
## (Temp - 41.95) ~ ", se" ~ Temp >= 41.95)
## Observados, preditos e a banda de confiança.
xyplot(C~Temp, data=segreg)+
as.layer(xyplot(fit~Temp, data=pred, type="l",
prepanel=prepanel.cbH, cty="bands",
ly=pred$lwr, uy=pred$upr,
panel=panel.cbH))+
layer(panel.key(points=FALSE, text=eval(eq),
corner=c(0.05,0.95)))
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)
Tamanho em função da idade para peixes
##-----------------------------------------------------------------------------
## Tamanho em função da idade dos peixes.
str(lakemary)
## 'data.frame': 78 obs. of 2 variables:
## $ Age : int 1 1 2 2 2 2 3 3 3 3 ...
## $ Length: int 67 62 109 83 91 88 137 131 122 122 ...
xyplot(Length~Age, data=lakemary, xlim=c(0,NA), ylim=c(0,NA))
![plot of chunk unnamed-chunk-5 plot of chunk 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)
## Ajustar o modelo von Bertalanffy.
## Original: tha*(1-exp(-thk*(x-thi)));
## Alternativo: th0+(tha-th0)*(1-2^(-x/thv));
start <- list(th0=30, tha=250, thv=3)
xyplot(Length~Age, data=lakemary)+
layer(with(start,
panel.curve(th0+(tha-th0)*(1-2^(-x/thv)), col=2)))
![plot of chunk unnamed-chunk-5 plot of chunk 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)
n3 <- nls(Length~th0+(tha-th0)*(1-2^(-Age/thv)),
data=lakemary, start=start)
summary(n3)
##
## Formula: Length ~ th0 + (tha - th0) * (1 - 2^(-Age/thv))
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 -6.440 20.382 -0.32 0.75
## tha 192.811 13.080 14.74 < 2e-16 ***
## thv 1.706 0.371 4.59 1.7e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 11 on 75 degrees of freedom
##
## Number of iterations to convergence: 5
## Achieved convergence tolerance: 6.05e-06
confint(n3)
## Waiting for profiling to be done...
## 2.5% 97.5%
## th0 -50.514 28.827
## tha 174.387 233.351
## thv 1.195 2.889
confint.default(n3)
## 2.5 % 97.5 %
## th0 -46.3877 33.508
## tha 167.1739 218.448
## thv 0.9781 2.434
xyplot(Length~Age, data=lakemary, xlim=c(0,NA), ylim=c(0,NA))+
layer(with(as.list(coef(n3)),
panel.curve(th0+(tha-th0)*(1-2^(-x/thv)), col=2)))
![plot of chunk unnamed-chunk-5 plot of chunk 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)
Abundância de peixes
##-----------------------------------------------------------------------------
str(swan96)
## 'data.frame': 27 obs. of 2 variables:
## $ Day : int 0 1 2 34 35 36 37 55 56 57 ...
## $ LCPUE: num 0.368 0.636 0 1.358 0.847 ...
xyplot(LCPUE~Day, data=swan96)
![plot of chunk unnamed-chunk-6 plot of chunk 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)
## Swan Lake, Minnesota, 1996.
## LCPUE: log da quantidade de peixes por unidade de esforço.
## Day: dia de pesça.
m0 <- lm(LCPUE~Day+I(Day^2), swan96)
c0 <- coef(m0)
names(c0) <- sprintf("b%i", 0:2)
xyplot(LCPUE~Day, data=swan96)+
layer(with(as.list(c0),
panel.curve(b0+b1*x+b2*x^2, col=2)))
![plot of chunk unnamed-chunk-6 plot of chunk 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)
## Estimar o dia correspondente ao máximo.
with(as.list(c0), -0.5*b1/b2)
## [1] 183.1
## E o intervalo de confiança? Método delta?
n4 <- nls(LCPUE~thy+thc*(Day-thx)^2, data=swan96,
start=list(thy=4, thx=180, thc=c0["b2"]))
summary(n4)
##
## Formula: LCPUE ~ thy + thc * (Day - thx)^2
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## thy 4.36e+00 2.06e-01 21.14 <2e-16 ***
## thx 1.83e+02 5.96e+00 30.72 <2e-16 ***
## thc -1.27e-04 1.68e-05 -7.58 8e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.572 on 24 degrees of freedom
##
## Number of iterations to convergence: 2
## Achieved convergence tolerance: 3.3e-09
confint(n4)
## Waiting for profiling to be done...
## 2.5% 97.5%
## thy 3.936e+00 4.787e+00
## thx 1.726e+02 1.987e+02
## thc -1.619e-04 -9.262e-05
confint.default(n4)
## 2.5 % 97.5 %
## thy 3.955e+00 4.763e+00
## thx 1.714e+02 1.948e+02
## thc -1.602e-04 -9.437e-05
##-----------------------------------------------------------------------------
## Ajuste do modelo linear com dois segmentos.
## Modelo:
## f(x) = th0+ th1*x, se x<th2
## = (th0+th1*th2)+th3*(x-th2), se x>=th2
start <- list(th0=0.3, th1=3/100, th2=150, th3=-1/100)
xyplot(LCPUE~Day, data=swan96)+
layer(with(start,
panel.curve(th0+th1*x*(x<th2)+
(th1*th2+th3*(x-th2))*(x>=th2), col=2)))
![plot of chunk unnamed-chunk-6 plot of chunk 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)
n5 <- nls(LCPUE~th0+th1*Day*(Day<th2)+(th1*th2+th3*(Day-th2))*(Day>=th2),
data=swan96, start=start)
summary(n5)
##
## Formula: LCPUE ~ th0 + th1 * Day * (Day < th2) + (th1 * th2 + th3 * (Day -
## th2)) * (Day >= th2)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 0.08259 0.23014 0.36 0.723
## th1 0.03789 0.00415 9.13 4.2e-09 ***
## th2 103.62090 8.70615 11.90 2.6e-11 ***
## th3 -0.00379 0.00181 -2.09 0.048 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.469 on 23 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.5e-07
confint(n5)
## Waiting for profiling to be done...
## Error: step factor 0.000488281 reduced below 'minFactor' of 0.000976562
confint.default(n5)
## 2.5 % 97.5 %
## th0 -0.36848 5.337e-01
## th1 0.02976 4.603e-02
## th2 86.55716 1.207e+02
## th3 -0.00734 -2.328e-04
xyplot(LCPUE~Day, data=swan96)+
layer(with(as.list(coef(n5)),
panel.curve(th0+th1*x*(x<th2)+
(th1*th2+th3*(x-th2))*(x>=th2), col=2)))
![plot of chunk unnamed-chunk-6 plot of chunk 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)
##-----------------------------------------------------------------------------
## Regiões de confiança conjunta por simulação: aceitação/rejeição.
rc <- nlsConfRegions(n5, exp=1.5, length=500)
plot(rc)
![plot of chunk unnamed-chunk-7 plot of chunk 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ysNkpZePjtQitTOCxaykxuRITpnK9rgZMx3AhD94uiTl6xbayWI1auC0rC5Zp2A/9Ss2moIfMsCJq950uB8ptvNZnH1qo5cchsU7S3RCad+mPtFMea5GOh36wcg2VUx9Zte1Rhf7Bb2r6gikYXE/li/oy7IDGmIPkKdgF3yLZ2gRE8hdFqLm14Vb6+TBoVlY4WsYeVFoBGg7ZhaClcOfWnIEXbn4IzUXhAazQJKl5+X+uUjhrxvYea4IZU0uANXw4WgU0iLhRuAhdqSs1HD6VVkKFku2ZWWTMNQ3h5CvtWw5Xkl5V8qCpVKw/Slm2E1FJcG/oFedWutMekX8YS7xnCpupqfWKZw7p1Fla5bCTKtBlLe8pPlThfqO+nT0JnZGGkQ3+0YDAVzKU8Np1e14i6ywMMpKyf56OJ2G30WCjKkQTZoTJxDZ51HKgoB8ZheGqYvXVsayFt2fs5IHBP2WGCtT+WOt7n0g0UqHpWG0jOAaD2P65vP3EvX/9rQfSm2KzkQblw1yp5tc5Kn1XHXzLomtTBSzHqznCKU+SyqkIVMryp94oWlwS71qHCIUSRk97XjMZsnN34gfCRt0Pn3u7oPvRriqciCplf5rjxPJVpXW54Z+3oti9d9/ucbcaGYZVPX1fATuSJpYJQp3Yg0+LRP98Tj5yixHxjBNgItf2JSZEmDdmf60jCvuZgLGQ1Zup6EG125OdG9VoGJyWwZDQrfPvMblvaTOFO7p7ca8olbDSH7xXvrdqp4Y8tcZ1j0xrRT7bnBtfzzK0RYGsIVYu6l65+MeyLqIcKiO5lem5yLpbd3rF0nsGphWmH9lcujh85MPaUhSqypF/4e/Xn78Kmx12QODPNT2dtWA/0U/S5r23KkIfwp8JZfkr58PVlFfvS9BlGllgSCIHtlNps0hFmCNLiY62TS4EfBCMLbd36tsquP/2mw4dTPMidanlpJQ3a6/JEeVkUkJdgY9vp+H1xEGmSHHXeIr9NHbHbjxbFS5NZlSIO7bk/TSSNj5o/vk6n1FFeZaNNcZ3Fb1bUaZGHxR2h4CETg9CNftxxpyLl2aSSoImX9Q0O+oCXbkqel0uwkX+FXH219kAaF6pzYH9JQpiWU37SLWA12MSeuNCRt1QdHD73XH0rPd6cpaaSIgN8nNxiqrhqLk4agcDknqu7XrUyroWlnbBvIwSJhEdXDE17KSUPg6zOrzzKtBiMN4hS7k4t9b20f9x3Nr4jVIN6syzbfs4ejVkOuFk1Bza2G4tJgpxbFpwrMjNwpUkGNNPDjI4N3MhsUmsVJQ/RMAqXFwx4TabB616aQBkZ4mqyQhgJTgWLSENkkWLI0nDYD6cmjqHJp4LWQFa/pt5yHkeCxQtLAyypcyyLSwDFTAbLLVC9fmorI5D6zNTKzMiwN7taFSkNYD0KFeu1EdtA4TsnQM9qKzxKXBn8unB4JNIvVENkkqIfVIBOqKmce4HFpCI/i4m/NKrqWz2J8m6qJd+RHK62G2khDdKEv6718jrt7LWngi2lPrMW004awqLpB8bF/QhYOmAb7jkRaDG30ky5LGlg5+Y+lhMaAI1aDVaruJbCLMvui0hCeAHAqreRiwkDw3tc/mPnpA6bx8qTBPxn5fOLzINIL25U3rzBRPQW1Piaha6dfId6qCmlP7hvf5s7n9HN0s56RhUhD4OfWBEpL4opFRBGCE4DTikrHkvCeS9JNZ0s1Keh1b0lN77RC1xR95i1LGshHr/DlTcwqG00Xkwbjp+TPrR0+IiS9KRwRjwfiV76GgFSZcsuaWRStPktormkbilkNZqyMOEVS/4x1a0IaWr0X0eGjtGFipFP8AvtPGrKIS4Pe4tYpLzyZf6AvDeJnk/cDKWLPavAnDURL2vp+50EhWKI0BO82c6s60mAP7XUPUmUpZxNn3+bh79MDMstLQ5QaSENEtpzKILsd+Rbl4nbiBUSlgSw2GJeGghW2FLWWBvMrWC4G+YAKhoNXG2xpOKcawjnSwH9ob/hf9KllS0PIDbKwyuu3x/Kk4Zk3yG388kxh2lcr8h3LIf9RaaD1mZJmpoMT7EtpkBv9ZAmtZSFpkH3E7t2up7CwF5HeWA3qtxF/o/PO9qE0uPeg3bQ19zr7GFh6TiFWJx7t8F2Nrmrtsk+2NDSGvS5zyF207ud2/hgf99xrZzUE5kLoJLJS0lPNDmMnrAYxL0j2rDvSoOd9Bm6Src1b9U1Av8fuyd8sVuI2C5YGsw5Neta3d/s6/p1X/ezCkNIg5dNZQsH66/5srB5Sq8HHsxqqGza9VGmILXKv0A4yXxr4//oo91Z2qroM1cvEd1cHijtKMpKZhjOLo35OL/Ccpm4NChqJ0BkFHnvUsLJUbtn0PhcPtJb9yItaDbrs1TiygNUwfWVeuNWgVq9zRpNFrAb1bGfllx6Tbru9y5//afEPTRW0F2z2fjayRHEAWfD1thq+/f9v7/vjLCuqO68DEqRBobOALmRz0bjxM6L2B7Nx4wzBX3mrouMKukHzGfETxACDa5KNBkFFQ2JWN8Goq2YXddllXdddE8zHfFCR/Swgm5UHY+swtg7IIo5093TP9DTd7/2/t36fc+pU3R/v3vdet/X9wPS799atW/fUud86VXXq1Cc+pXG4ltUAp7bIO/Xhkmoto1k7UFiyfxu4aKlhAwxDujVJhBqqASk0DTxn0Zp4q0iXNB0uZC4u8aHcfcXg2wzHqnLbVMEmjfrvmfxQD82qenFq7dXgOUTmzZR5rNJVoFttoL8Zr8j7l2VDVWiai/lEokO6O9YOglvdKsCQgIRcV/jtREZFe9Tw5p8ZbDSmBmA2Wc2zFoAjzqL7pTxTw5HXCDWY7u5xz5rDVkM9ofodCmpxtCbeKtLFDw+PNVBqUBe8VwdmFOgIo2Sw1d94D+HaDLJJP8drijlqqK3RY5WugkcNvFs6lIDZ708LTw8o4uiQLq8hZHSXPmTKFueVNxQuZPwlqmHyYw0BasgyIGcyxDe4RH3RvLxkJiAIcZFuj+ng+dRQ5KGyaYUaKCblDZkFuu+AGuSwC3gDKEwiC6vHcqP4DMnP/pD3Y6sBGC/FKf1AIG28s8MEqcGhTLpCr2ypzQ/fakCaKfRXrO5TMU8dNeiXxiw5+BCpB+AHycOnBrh8qzkmTg29B8FnH6SGHB7NDlfDkUbppld9QNV2qoLWacMYvaBdnUJqyAMnNWuu/0t2QZi7F1CDZRkuXJT+YS4QrSy+AemDVljGa0DApKYNr9TDRKTLFNWnhgxfltstaathYafUtqNLYnTKDYqZbO2cssktSg1m8oIu9dz61AA/SWZTGkvBQB/L1kOQxUKOGkyFwD6II3en8zVEitoG1oSZIDWw5enN2GERt624n5pSg/1FwkXZz0TLjZnyAWMNuzIb6pvdfmhrUIMESw2hBkYTQtG1cjFirZ0JPWilbq8u4g6FWAVYSg03kcoGetyYIiZuNVg1dOOLFthys1aDdkpidd9Sg5MMiPcdFpPrtJSEPa+HCVJDAFYnMTWQRLgDFzGutA72Zoyie1aDmSrFy7bpZFyjaYppoQZgNHI9I3G5UMINvajapoO3SCBqwAHTSzoUTPm2ETUI8NGL9TlFBeH45wLPkU68ZkjXbEletGMsNaAtMatYDVuoXeOh9z34TT3yfZgZqrTD5tpKo+7qHmsQDScitLWGg71g/rZ31sO0UAM4I9+eXDXrVtZ3uQtgWgF3R7wF8lqJPc90C4ZloelGi1pZylNCDdoCiFJDRlZR+oCue254x3TYsjA1yLFKbZnUp4bIHeNX3njNgy1RZB824Gkkk5EOhT7j9zX6OWnhuDIUdrN1SfXXBFQpOoPJUEN0IaD8uJmumFJCd0FMt+kjrco624Fd9Atuh3d68FweVA2ErIYtRA3wIw+EKEXnioPYZpiuQ8FQAyEUTQ1uLKhs98UtTg1oSxR/YBtmUpEagMDMud4Mz9t4MpVbCLtFqEEgaDX0zi1Yj1kzrZTQCQZ0KHAmbOyMKDV40nbUwC+yD+aEMXlqAJhdWYpHT1IHUYd7QQ3YlUTczXOON7lcFiZji1MD6rSWUgPWY6NtxrjKaCBratfCvH0XLMPb8A6WUWKYFmrAXyCyGoyGiQEvs82zyYClBiQEcxClBq5w28NqIKAl97avK9Q25nDfz1VgN+Obopx6/U8era2Ak8sh0fHBH7kiA4xZeaP9IeL0+KFl0qKAbhsJWyylB/NGrKHVP0YN8hjVGvYObohpoQZ3RvWVAAMYZzshMaNl5s3ptAKvSSL14Ajc16K8cELWpo7g0EctmU+GGiIvCC9R4pN/A6FVDJREVJAB5C0Zshqot2olqwF8RlFhj1d5S3ejz8gQWcUDIc4j/jo0nU5Tg7SEwW0eNSBbT1VTzbaQYnLU4Bs4PjWo7Tk23YC5FxKnQrYwc/yLh+/0Tp/VvdVwdfhSRLy6XDENyv3f5K+fCZsPscLiHQqnqorfmbLDPLq2GppJN241qARI+7A7eY6u0Bv5vIUJbNbI49s8K8LvBlq/62ptoXdqzNKNFQXoKBpSOH7Qzdk6GUYnI5lHVKcG+xwL2pR2Rw2na/yo+D+QxBcv/aQi1ABVl6EGukad/1hlPoAajC8/cRrzYsLA+Bqx+u+MGhpJF5UkzmrU3XQefK/8O9ka4/NWREodHohTk7L2/DBQmBpKdLYFahhRurGiAPvdyliu59scrCip6G6aNCLgSgz+tb3PGdZDafFixNIdNQwBAklqU0NZIy3E7setiFPD7OJgBc3HgyCfBr09tj7xUBnZBs/dMJMxfYgWqaGRdBWiu9uZAzK303tQU4P3TpahLR1bTwfuqWYikrcaQqaB2vMpHxs1jCDdsqKAa07Gs4IaCoq0LZKzGtCStdJH9GZQPUQLhwMSeHswBCL1MahNDe+555fl34Vwkjg1MEvVOFHvp6NkGeaEODWosRu54M1cZ6jBwlK+bkUJNTBKDc9AQ4egrngbSRcVCxSGoQavnwBe1KdtdWiVORrtzItyhagh6AtAHC0CCIzojFm6FnFqUFKSa0dkdNnBqg1QLl6Y7nBVhRoyUDvlAbHCXYgqFGxRv7v22u+/VfypTw2o3UdnXFhefEvAMoL8gnPGOczDJcRRaoC3aOth48cubQk1RFBbvE2k6xBSCXuATululrEzPGrQihS3znDWqEOh2jfrxuaRt/LZ2xysgkUdkXfzP2xUUMgAACAASURBVIkxS1ciNu4MTShZ3P3Lg83hqnJjEloLg2GFrQZ2Lsyjhjg/8UcdU0P2rK989fk1xMu9KOiQASlVpAYbVQ81U/6n76hBFuGYju0fNMfkl6J6FPs3ljeIZYPRnXhrShcjoBJ6fyXzDcKzxQnbfOUkj0LANqhROTXIxhJcXZB7LfXnhiuwx4Fuc1bD3CK/4gomb4EaRpOuK4pXEnRNvZbSx4WDBTXo+FZuDt2YxFdwIXewIS1+4NglOn2MSTk9qL26uNEg7yXfveVFjTsU6o99sf2b1J/OtTGUGrSploO8XM6EGgpimN8LLKsywpSXZN9bNaZqA0NSfFKScopoIt7a0nWwFr8fw1a9P/28YIcCzjSYW+x4me2hMm8M+hmgbkxXIWA1yNqd0/1iyU7R7fVaooaRpOuK4pUEXYPU0N87uASFxrB9J8MRA6+98qghc29fdBb0rxg14PEEVz+BHZ54NJv/eerv9p8IXy2nBrl+XR0C5bR/ZnVLcxPrwoAssb65G1CD/gp+D83yV6AGF5No7aC12/xxHPbFAmgk3rrSZcpj3xZL3vu8ADFLwdOX1bHLmC0Q6F8FrYWqUtXzVdydzA+8E7UaPAuSGz4bt3RRecLX+nNLalHf6vqu3rliM7Sjrr8k77UrKIp/UMQ3m8TWndFu7dMvzFllNkT7X4ES8h9BIHFjv4bnhi9FqEGqB1peI2q8Tycl18yWMoTh0BSa1BV73JtfhmPlenU88TcpsxpMFMlC+oypnflS7IQasprSBSDUgIKVaR7G6fcCN1HYuNv5DjPW4LzDVCPPU4PJaX5OTtUtD+VC2OEtrBmgRja1oR2zGkLDmOOWrgElOXzNbJt9rNDyQYEji8NbHfPJe+GHz1ODSCYI08TPcxH7zXiYY1I/9n/b1PCsN732xOw3v/6T+94cfnGJM3dd/Lrd/jbTFr54sSzxyjv3xbo/nBGqWhdgCUhtVYsj8Him0WU0mit1kNQplIkmGEU34mbw0YREHvYYMnDi7VC6qESg+kXxbFulgoJRF3Opgbm7GWShB81WllSobOgCAsyRwPi6HOVRPerh6mXqKVBAIAStPR3elNfTBY1xS7cCHKUKweiOw+AtGWY+S4fFj4XjMFgkdGiVYjZTZnbbCtHpFQ2foQbTAKCWL/C1W15CKKWGXcsP9L9xwRPX7Lr68J7Yy198z3D5hwtLw3teE0pRRbxKUHo4ZuVyU0S36tpTBx0Iy806mN6c56ZUGHRyfcTw2CGouFy7pf4Snwnpgw7UPyByGtHeyz4D4h2TdKU5a95GsIEzY4Ne1LLgyD/BcbSSAowlXUoNuq3TbhCyQ6EyI1ab6z3DcugMOMeRCDWMV3cBeJspN2opgouZ8CyGGmwzNqfnaAqz4jInDiAl8VfYFET8srfmtmDyqKFsoYRn85RSw//6oyz7yKF3FL/e8o2IMC4/vO888fe8fYf3BpJUowYyc2mLaHZx/pQ+ZQouhOSowUy8DZY30EftxmGl1eANRCL4VoOwBxc3zJSeua7I1h/CqWE1jEG60OdJy8jsVknMMwgwBqANJ2stKfNNvz20GtwAu+z4YiWUF2WEVNGtKEpgtv4gPlN9SttmMAFbvbG9SsYpXR5haugdUsHFhAfkcFVtwA58eO0+YM4uyM2Li7/mtdcP5jbOtDwnuihFJT8apoZguThEeMRRw9oZWfaPhrPFr2cdieT10IXm10UHAkmqiFcNxMCmGW71ZYOTgcXUa5tHZMimo3YeXrEntBqUlisRz+cgsG40/Ab9LatN7CbCDPGDO2pRw5ika17YGmBDtSWd/piZ2FjcG1iaVBWBllQbuei+G9gSVt8rbTmp5z3ZL9Qb6AWtBvdEx0hEmpazSDnHLV0fIWroqbWqQsuNFHV/iaEG9QtTg4CMXHhMRjNdOwhtY6n0Kr9ZuZ/WcLC6tOkNuo/0EpAaFp9R/PM18eu0tUg+a6eYXzPHAkmqiFfUM6UG9/aWGgCHDuW4oPzidZesYNBNO8toggjZj+MA/RqwBLzAZuqqavM2lwNLr90Z5LUa5F4r3vFIF28wp60Gs1XVOhtCC1FiTl/F9v+9D1mRz0DICq1MEQlNhNTiicq7wXS+dGUoAwyG8K1CDf7hmKXLgP2qTANll/ofJ+rsqEGEjNxUu48XH/jaKuxfy6TaNoDUMLshPb0HR/Xe5YUSPsLrekWCKKWG/2nr6de+G8nnrmvMr2vvDCSpHg7dtfRZBjufAWpY2oTdh74ajjEbHbjpXhW6eM9MqZEFz/SsyZLhDVxRYmo12MJDVQCw4h2TdI2Bat9GrzHTWgaKC+4wYHwXPJPO1Iq+UqgsdDm1y9hkR058Em70fI4EhGKFO+vGSfgyosNxSxejpE8PqOFhs17d6OOlS7onVrymXseirAakQjbecVGN7wa9LeGyM2+NDNShMHcbdqr0IqXUMLfb/HrzH0fyueCnt1+1+/zn777q9sdeGEhSnRqwAriGSUZj6YOhs1llNeiBX3Vxf9HsCKvhkzPw7rVdrqmb9T0bSAH8MslBNN2g2eu8xlLtjlHDmKRblA+278KkhdRAELCc9F8+do2hBTEoIyrl6OY+LAbNTCqEclFjWmRw2xRMDfI5R5yvql8rhNF8ahi/7tKiYBiTUgeW1xuFGn1cOjpQayu0XkpjzUy2Q6qe0bsk6E0zzbmCTMqoIVo6CqbBEKg/NfzMD969PBwu333DmaEUVcRLtJJGCIMjLtpKEsOQvRnVstmOq5uwANTgNBxZDb4EAva126xpBiRjXEzI9xKjhqoYXbqQGnozYAnEAu5xmeTMb/cF26vIonCSXFtYBtM0sBYtNcDc4YKMoEkWVWikNxOQLkGwrGAIGHyxgB2ND9OidocEVgPMVFba/mWywfjmxuajWpTzoofdUxZy49AMLKh0T3zG6eHF7BY7TohdbbK/0qy/6zu0wAosfD/XZ7Un+crDuVrWa4O5HV11W1nIOwtZiX5eaLEaIQsbmIv43QWpwd6vvhdmVRwRb1fShZKkTrLagoXTsxwdwG/OUaJLbF7fiUEukBIDw5somJbrFu5XTq0mRnJPDs3NhbsMVagBJRiTdKsUhbskROWGpPQuCVoa/ePW00kpdtEB1ioLM1UMAhxUZI6bcl3axhExNLG5qkPDSXm6W/1wnHWBpHvyhw4NYovZNdpyGyFypd8VoQat8loC2r+6b92Y+mr1g43Ab8yKMDWw1Wp01P964stZzJYXx3BdQPF2KF2/5+MfMhPn8FbTUcC5YmogEVrUWaDk8iY1KKGin8lQBUBwZPMrUgp9OmDfMm87JulGEClrH00vyj92IEzo5bttu6LnKvAYsr62Vzn5biyvQ4+pebP45DKg2r5Lf/n67RgQNXz83t84tfSO9txGqlGDlT6oBksN7hztUBhqEENAdakBM7f+HY9w70qFAMXboXR949w/DFCDkSBPDU4SvtUgICaXCTW4AyH7PrPpCiN5WYpSTqCPGJN0m8GsEyLUoNWo90OrToYarLChCHNVLy4zcwd0YAdXcvirRWr4ya+W39Ci2whRBbp+RlxmtEWbaJv7yAeBqcFQ8CE9zc48PkwN4C+/ntkvD1ikDwHF26F0q1LDLN7YiCYDdyJPI2gt0B1FYfsnAAlc+ZpDU7jesuAA7CPGJN0mULGEhMis02w/xwNhJpka9NatC/Grc/P7sGVS646wlyrM1fxqkRqOn1h+Q9Bt5LS9V2g83FC8oVbD0/Xiu1+lGm6CuYl2TMt389hwoMN9DcxwcDhbXAbfaojps7w2i4M8SEDxdiTdsnh0VhedRxn3KuIcqQDrWyo8I8QE0RVeh+JyvUPezdzLFFk+h16XGhvbLIAvGY8xSHcUmOHHohtlnaKl0l7BrOa1toN9Ybej3SPUx71n1qXR9hRQQ/HIlVBzVgmIGr7/T8pvCLqNvKM88B5AacOBrCp6BRMwQm/GDsjIOQPeaojOSVPf3IrUYOdPAKB4O5QuKhs1xmbImINPDf4YAsjVdCh0t2H9VV6ZQ4MwuiBoe0um31KGsEk0Juk2gP7EkYmgBO9O2V5o7oYMjeq6fCRlP8jRuRIvlr461455ZqR79nUFvvP56xQiNwTdRp76YoPvT5IaUKogNYBs+Vx8UohSw3HbrcQXtHi7li73wYWOjXqS68G5WUINfrqSwG3dU8O4dbcC6lGD/Ot01KMGMEfvISB9YIRktSWuYKjhtJshIjeM4DYC26vSzy1KDb2ZKtRgpxNHpAZFxaQxRuitxamha+nWoQZgVkEE52Z1Oj13PCo1iDxZiYdrA51CDxuTdBtAGft27BDYsW6ZmqEKLWYYPwDkU0YNgdHxFqkB4inRueFabiN0dLo2NQRn4wqRhD5WVS/nyqQrq5e7cQicglFG91v9KtN6C6QDAIx4W5SuBffB0ca2hDpC5CYHBmZdvxWrokh9XWQuUMBsNCgPgj05nhq8nhBHDRBdSLcB+njsVlK33GzOjrNI3jDVwnj1mFRKjwtFvtxlDaUUtRqMOo5ODXepPy/7+7K7KruNsNQQW2cr4cWjJ2pe6r3u/2JSaLnx1KD9gOORTB1CHALF2750EcqogbIWuO6G0yPZ9HPmuy7TOXWd2V8gVPyI1SAjSaIaGaN0awC8LeRb1Bgq5VoaHnNuZtrNl80SO7+TXFgVpTuMNngPRA2L6s9Jkdh5VdCm1aB+UjUvu7XMkDLnQ4sIzM/YbtIW3ig8ABRv+9K1oO9RMmsBp8ioqEgNhY+ZIx8sSzelhqjV0KF0G0CXOUgN+qL3RXCiISaFZzXQGiKmVllklyA4aviVauL93B2BCxw10Bn1Gk2/Tw1EOv6t1ajB5xg4FgQCeJWjitXQvnQRoh0I5oMm32IJNTDxB91DwiKqRg1gjpTRiGpWQ8fSrQmuQ0E0fna4ihZSx4KXBqwGAUkNjCbn8G+EcMNw0t1z9dVHrxa4/qGPlN0l8bHbAhe0eLk5bd9qKGvYM+teiw8DrRcKo8CORvBTk57TuYz3IKoWRSMIoZQaWpeuhyA1BLoBDDXQtZYoMJ6UJWRpt661JjXQWuGKAyCS25ZFh6ZRGKN0a0K/hhiYASsFnagkb6yKYE32heHSVAozKS5FbvPS7GOjZ3VGDe/8gsLnP35ptDdWDsZqMLUPBJFlUWqw+oM/dpsb1i+kWMwKSP/LseliVoMNCs5lAlFKDZ1IF6Gx1aB+GHkGrQaV6Tzow8qHhC04HDuTY2m2OLFk/dxMlEiMUbr1ANzLzF8T5y23idZflenARAokhACaVYMZ5SiXhZ1+jGVQ+61QQ3XUWKISpAZ7uryImfex+/cAxSLRXNl7lHhJKJnM1oc1INDGm6Ra0N/QKH0D8TZdAIS+PRK2xWz2AS2B4jrHuiravjcWYakhB2nj1BDgaC5Zhp4TTkZc0cco3XpgdMSnBvFJ0+/fXVahUM0RiJuJBK7Xfm/sowafNLUs1zC8DIXOo750ay1RQdTQ8zZU7c3ES2cAdIxfbAoDAVSyGmbdnm0GYLjHRivKAX3HqCGE2uJtYQEQ7eRmiBqyDBeZsq5VVpcWBPi1l22MWrJtMeGO6tSgNSNuXIhQ6yDHSUi3EsxrA1NMC0af0R0KEVcgsydQCDdEDXCkh3Cx2Dlwg/TriI3hoZq3ZG3p1luiYlpTtgzVt9kK6q8AaPuMbVxGDaKCuNArwCPVxlGrTQ3wRF3xtrUAiHgpqIVOdChRsykWre0w6NM9axqreJzLaNrDG/epSw2l4+eg5ZyhTcmkpFsKT69mmIUj66skpHrYapCCnHUODkAOwj+CWiRl1GDTtEsN9aPyxr1cKrQrs3InJDgV529+MD8PeYZkypSgn8PQObBIkBrgD7uWM7dJ0V/8Whp1xdtWzGNKDTmiQmgQECF4VoOGNA7EsDKc6kVbVpL7lcxXlirMmUVVAF6k9Tgp6UbBKBv/BZjpL/hFKyI2oYnstquu5kj16IFImRD1BV04o0AxO6CGZlF5eashD10JpLX3cNSQA0H4Zqle5aATmO6EN/vg8rCWq/yhBb551GzAgP9SerGoK942Yh6TDoUdIRfTRUpnnCWATCzcV8NLxbQO28Ui+pyacYNTa0zk6TJUpgZ6PAnpVkKZ1apKs4uGVM+BfSCoYaBsYcDfHHMv7NRe0dDgMxa5daL0yjMX2rLIoDY1NIvK2yI1zJLFpqrt2/S2QCH3H98FqkG1oEzHA1lqGbtkUV2P+E7Ar6OueJvGPKaFsLNmbixRayI0/nP3x74NWuWDrHmPGnozmhq0TprGbhVUTZVOxdiood2I0hGUUoPyP1Vtk72iZKwPVYeiqLQ5OFbsU4PkDRDxQV+LrB0yDzP1GxJ/bWpotkTFe7xtofwGni0rNqhgCtX2PYisBuZ+hhr8J7GWH+m5RamBDpLWFW/TBUChD8i+7+ziYAWyJ52DKKMGfaJHZmnLN57hBY2OoRGDwFXHKNQwtuVVVawGuWRKx+wkuzYLrMlI/XavAPHHNoo01JtRSfCsUmpw9dsaNTRbouIIALZagZJzZTXq41OD2CJPhpEt5MvwjMnz4Z1WRd3sBJfer8Pc/tVtpzxwAdXIHaNYDU0XAAWpwUQdjVgNUgjyCnbJ9ahBJASrq+xoQpAaXDPIKG/wHTw+QoBVNvmI0gE4PUGnEOxqSiln9/L618IjOyk16MTkhxyIxEG5VpZU+8R8LbAArVODwAhLVBpSg4DTXCggOZozt8E6M+j79O64w1XXUJI9MGJPNyf0DeqPm0bzuiUjUYNAA+mGPiBNDeqj7s8JneGXORk90W/lzaWBk2g0d442YLBO3dxRe9QAMS7pNkKs4Flmd/i6zFHD7MYRHdbpMlERc4srS9LX0dQgyhW3ju4MNK91ZTIlmQUjEe1SQ/aCkyIXa1JD8Fvk7kazwyaAt9jwbi83Y2lhKuJQDvS1tIDq2Jt1ot8NvIOshWkm3nrSjc3/ydnY+dyb30XlRu9jr/M7a1MazDP8xZP179qgMztk5ug+gjFRwwi6Wwsl1JBZjXVWA7Yf5mwAONDrptQg/yhTzlGDVEK36U/YaojqTkNqWOSfplCJGtxoIip5pKycs5OxGqCpzEpCm29WoJyKK1BrghcstLap6QiG9puJt750g3rYzx0Dm56DAXxT+z7o82WmgnKfXaJffD/fv4nXWnBVTIZ7AULGncC4pNsI0ZYKkHFh/m842rajCkoca7vI4I4VR2+Gdgl8q8GrUraALVsNzcTLr4FuYDXYDIXVIJebuC5vIKQToQaicUxbGi0N3HEvNlI2UWrQ05ZDtLCHFw/nU1uFGmRqp70sNShXTH+XBO4d6q0gnlpqqPIarnGxfQtsNYi/g0vi25/AHp0KMaIfa8I/REriHsR/cBOzGtzvWtQArHv91mI7IHmHVmrjFEzuk5sDBQfDeWogbSK5IWQ1TA016Au43+ZFtrXp6OSD8KD0qEE3VghmO3c29kVvxlVIkw5FDFNLDQKxKtF/DA2Ldsv6IdiTItn6K804QkBinooiKUatBvegVqnh+jMiF2tQQ3S2kLmP+Qq91ZEsNeTINPWs1AA1hD25e8Bllz4N5N5MvPWlGzK7gXMzUjkuA29eMsQjYSqkcQVsv5GMY0yUGprrbi1UoAZ7xu5tC9L0xbDY5rKKvsV+vtx2VzYPWd2qzksEyq4ryBpTQxSVqQGV3F1g9Vxdhl+kPouoQI8C4pH1LC4dsHqIJI1YDfAziGTegXirKC/WMX6DI6/UIF6QvM7yYrwD5VOD/qVr2l7mqjjOXV6u2cSkWw3BFtuaU/KP2qRGuzrnII28TuNOOxCH6BixBi2L0LHC2KnBVwqfRTnY96PUIFbwm0zNSCXnAB3M1Pzo51jx0WpO5l7btwk12dkUUEMPLexBo320s7D+Kipa+vKupiAXB4IMMCZCoDNDEBHnVqKGYIvtn+rnqo6wyOBUGrMxWmYqQg2cIWsBP6yH886YCWbOMB47NfioSg1aIxE99mbM1L1N6AbENSqMxMCMNU3Pgf3IYsWOY+LUQA/cq3oKoufQzSHz8m7UIvAAE2glNOZI76yPrUMNCkRQvC7ScDpAyefFzLPaafmoZ6oZavAexDyfo4aIpZFNBTVogQR1xghUe/nS95H7jJMX9/KqaDW4c1Lkhn3Ym7YMNfT8zX09ahCgHYqcZkSogWqd6MyB0I3IcnEpf76pwTuVKWKA57Bpt1cbH7RbqBtEW7lVqUFUwfRSg1+S2GSP1cfiNhg3ROYixxZwD0Jvwlr2SKzd2pfdLCnQJgqQK+SevPoc2wSUt2zhgfgt5YhcRAorabiCDAX5zpgXJQtbrmEaJLP6Cl3G5TLDQA0ownuzKaeGQFxv+ub7l13MAcPHrt3L9Z1qqBKHClAVUT5DCa8XVb+BnsaUSGE6qCHWnBhqmPPiJZjNAjfRksveDPmUA48k4YlsGnm/epg1sCk1BLL0MQ1WAzlW70f2RFFupchdkgR2V6IWKciwLTT7YtRgktjsy1+DKf62shrcMZIKkJLxW5c7LQuz2ZjEJlRhLHQv8sw1ph2Mx2OfQg1jiUlRg//pRqlBL1kXTU4/JyM0B+jgAjMfw7y8KwX91u3D7F3bhxpcE3OIxiVc2In6EG5bNgVjoFmlIg+RSld0KExzxIgc+l5XMeyYS1uWGlzL3ZsxF0qoAXowiZ2WtdWAlsHZD4cXnxeQKDOmR7nhO+XU4IRg15cjg1eHaiiZrWSzDlOD7VCgY1pbW4AaPGsSaaMfshRRA7Ea5Kl5c49ncqlzG3oPrCDNR6yGbU4N9ECpH7XATA2ARsndYKhhDqwYwNTgC9VRw7ztB288Cp8WxLipwbNGJcQbcFYNWjahHUNMOjvlu5fbYjxKDXKPCddygp5EZpq2wYqLbKAGiDdd70L+w1thBBNS3p418RWoK7OU94PgO1fOIAv/3NLILN0OxrKw1UgmGnJ/Pj4O05vRRh8fey8EcAlJfQtQAyqvTw3ml0i2VogbLIrCyQqRHRkK6LBwQNKqWZQP8hTdcrn4SqxJYmazcb+bkkuL0s2frfHdelbDbGgvUJ0a2ETu/Z12+Vt7lA7/2PlOdqNBmR2O1i5GgbCHUyWboU3xVpYuQJQanJeB/qZ1L0ylYKhBBszRUugRJ2rdVTDtUUREpi6qWg0drA1k0ES69QFf0dld5qzdKo1nELnv+wEzBubGJ7GegsfI70rGf8qA3YtNkvFQw96hQzyllgroBMTC0dhrIBa/PLTjCX3G5GCsBkgN89p+5lz++mI5Ad0QetLUUF26AIQaXNBITInWBEBvBhf9mXPO0mA7JLiKeBGZGNRxMg+8B8FkpVsfRkux6RylBnGLqyeruP35h3dmWUZFQxVdRJFzI3Pru7zMx0MN//gP/o3Go9WsBlCKKDXQ8Of2PquwjGlv2RbFv7GPs9SQ+w1YURg3xa/kdWDZ2dK86RZAa+KtLl0N9LW5PZ/W3BRCZr5RQ3yOHxSJDFagWat+AGqgezEbwzjztQyBoQb0DP4ODpOT7uiA5oA6w1JDBo5lPc2rCtuL2klTZ1TRFTWYsBmyPhk6cL9RtUxiGFIzobN7/D1nQAmV5LjxP05j1jQzOsnbY20py5BPw8HqTedqI3gfyEcVZjA8hgbS968urYAi1lg5PNnesONGW/hCPvLEkaHq0z6yXPRhC4EcXx6sqm6d01RHKFaaOAiUzpOObjGuue6nMRq9MPSTpAaHtscagrAilf+Y/WG/IgQHm7pZMPqzsrR5dHXzUU0Oubyu0qKGzCi68ECz9b6/aNyUxUh3GZIJZFuwCvQ+m5w3JLEaaCQlfNmdRDrJWQuGGqAhVvyg+wnK+XftRcJYDWTVvKxGfpFSCaaAGuQPW3hrNVj6pFZDZlO6JQ8qJSYEPH/Rz1Fvg7AnkhZibaawPriKFtjq1CB7rfa9g5EZgLmbZ/s3Vpe8fRKMlpI66h9/t7O41w7q/RZoYF8DuXfmhK2GLFORLQOqo0+w1MAmhljbxSQEVoOkl4JAV8VIsAw128/tuIJqZWVgDePtFKSGaLBei/ErL2suut1L7OyiTw1gOEWPSqgoRGzHGNi/+lG+L2/u/+QnqCRC338EW5kabNtlmbIaNfTn5xYHLoQkSGG/GWA12IHkS5cGymoAtUy0eEqoQSBkcOoTfIQhLjGEoQZqXgBqAFaD5/Sop0sUKSvLW88mHcKGzZagBtsX85zitNu5mpYVE2Kboj+BunULOxG3IrUTqEsNTGajYitTgwCmhsElsWQCxpVxfRf4huFSONy9ALuGzIpOZUENV4AJ6Axr8exgBcdMnQ5qQC2G33XFqYJq9RxJpkW/mQxK0KXtWW/Pmu5QSNIgy02k35kpka090qhVW188YWrIwCvBY71ToIgnrLfqkb4h85D9UBfMn2nLbAgddebSJRUfFs/0yIyoocBIsyG2PDXMQdk89mJzOsfJnLAuXZIsP3w/6QW7Vs8eqSGmI8CymH94J/JoFedM6FptUAIH4GmhBgpv51WIiFppDz7GvDCUqg2K4cqSGnYTg5B0JRqUOxZ6tdIDTAk1ELVBF0T/VK6s2vhxTu5kGnpriFiVNgwg3fzh2CyoJ89qaAdbmRrQunfm0w5BKKtwaUcVi+fgreDxiOOmdNrDHQrYb0cH2USpIdZy+B2KSgpFqIEEFgGdDDn4LtpSuSmuEBqaAnFFY6mh+hTFeJWXKZfVIN2TdWpjLogfa6/2ubgHFrD2ZqwSmlPWkrBdr+UNz10dlgJllrXCEFuZGgSkCKxF5qgh1lndL625laWboBQDDRhwexS57j1XLZFT1eTZ0lNEDTHApaMKDagBGv1062gzhS/NaUOk5j7AWfI3R2Jby2qga6XABfFycmWV50CC86LUYD53lzis0tySi0QN7ovGrX6UGnp4WQCw5RhqyMEPXb0FQ7jPQrEBEX5P0AAAGvJJREFU4ycpMKXU0POiGcetrNyw4LFlPkKqmYXA1KAi+W64tSrE/sYPRUexIOAOE6UGNFywZoeuYM9AH5twACQPpCnqwJGB+BfHzwiPvzirgy1oU2wLarCykf+wXj7oBmjNZYGfGmjqzUxb73X+8FpBxNBFpltSkElT6Z54/i8Fr7W0byBWtGhPjP+UOblBg2J2RW9p5ayGKaGGEaQLCwlNREoNFko/VqDnV+SrddRgVBrIimMAtmAlD6mK8Uu3XeDeXbBD4VWM/kP6j75ti76ZBetZ7Z6mDozvL6zNrIF0T/qTHxy44cTzDx7dvPWUQJKWdht2ApIDAmT6DYC4NSsEnG6E/KBLqRiEWzHzOdaJtAI10Bj3POqKd3TpQgUxaqB87YaDw3ChKUnlDbCQJBnnlOCEYG8vmZ3HOVXwJ41h/NLtCKBDwCw29DjDGXCcCkIm6ecklLJ1KDIWS2E2D8A2cmAIvjY1fPCbL7/wC7fe/3tPOePLfxJI0hI17AWqioKx0ZQsNYBDGPgFXzK9LBo33uZHlxDhg/apoV3pelYDpgb3si4hH2Iet1vcEXhOoDBAn0mejTFZ6bYNZ0OErAZGHRlxE2owNxLJm29Dh/cyc02jUMOjwhj73FeKf855KJCkJWrIwU8QZoT2EmYt67GRtkEW+BIIoqz6LropW1pV38YVqNeH2rmITx9BXfG2J91ZsxuSPlIuH8cGq4vQ/lKplobHFuFuuQGrQQAPKIrz6JPn4r/k/NEEqGFsujsaUFfaju565kScGlB7uB+vEwDh/4QVIb6CR0S9yi0ibRNamxqWdxT/fFY4bp2wFEjSHTWQkW6dhIRCDmYBz6k/a7tIWzZpq6Fd6cLyRa2G3kwGyNfvcoD1ljn/eWuWZoI8TBE1jE13RwTsF0N3EUYd4SbZ3t0RqwFmZYahRrUa7r6o6Luu3lD8esl9gSTN9qFAAnFttA6yNFhbuoyzGkw3+mYuZ2BEUGpQlwzn6oT+MGSYGrj5OB91xduudGGBr/unRskINcCI3Rw14NZKSAo2S2pNoP7lqIGadhm+w+TU5EUAJivd5ihjRSgaQ+izvBFLunN4NaWqjSvg3oIme0wNKhyS2PICDOrVpoZ/8fif3/jwu+76q95bD741kGR0aiCH6JP1tS5oNVhoz2AvbKG3zSOkBt6CgwftWw3tSpc22MBqAEOxlhrsMAP9aoPzyN4v06FgqcE/qoqWqKF93W2GOkKA7iKkpZoDw+ls7q57189pPYCsfnREOT8Jb9hRrIbsxX/2mT3ZMz4+/529oRSVxOvrVwk1kA4+4EfTLaj0QESwYh2iGzAwEeacFbEXTaCip7jmM4ba4m1JugpYLDIqcUanzNRLzm4cXcImRQZej1CDyxZVoqqR4QqIF+3PRDSjhsDY5mSl2xxhTccwYUmPmUECODLvDDxuQYWEc3TrQ3cmWSsmMlzm4qcIRQCRXibm8lSHGqxZIP7AXoJS2UouBmxEU9Jzpl5oTCyiUBEDmDKnHK4Ft/1Mry8hz88hQzbSrdV/VOcXVEkbVkNb1FCOqaIGddH3Us1gfeEYvPK8S0ecgPln2vrHGtBEumfuuvh1u88KX69BDeZjvcKfMgMUsLDTNOM5zkN9y3bJGvcEkjbYK+CC15ZRQ7mx0kC8rUg3AFxgsGNgmBrkSbAhGJKIy8/GnO3NuBCU/g0NllyS7CCmTLqVEF7nwgPqIDDXTAh2ajX0XfjfOReeIx47VVh8LjqBTVpfuhffM1z+4cLS8J7XhFK0YzVwaXlqCNxIqEFzL2qASq2G+pqMUVu8LUm3EtTLYavBnDP/AqtV3RSsJcQsQauhGdqyGsYp3QhqWg3MZRdLeYZSAyL5eG2B370Z70m1pXv54X3nib/n7Tsc6rCVipfbNaUSNVii1IdqKCCwHIW3ZFHADLfVpee73o7DXl3xtiHdWpDmqJzPNi4QAs6ekCMxIWrwOxemqwq+5VHZtUWrYezSDQDIrVTNeg/S4IjIwKXufCFqoNUHa0We8/cGqU0ND11ofl10IJCkVavBX2/ibSRVSg1Qu9ZfSVJErQb2dA3UFW9b0g3C50s3p01TWf90s9oPOazTzOxoA5B2GxaDQEtWQ+fSrYg6VgN/lQR4VB+6nE838YDVgLIOQR3+yMDS7JGthjXrfT5zLJCkJjUYAgs3L9S9AHBhYKWaT8ZGu6CWUWpggtd6T6+HuuJtS7pB+BRgNobwU7nt/OxOxMymJgJevO8FbpeE5sC7glhMnXQrgmh6TWrwVB5+9mR3FbmpUFl/UNsZdKPY2tRw1zXm17V3BpLUpAbuCtHUMDX4lwNPEJRAbVNKDeAGcGmc1NCWdIPAb0vGFCTw4jObwuhdvENhkrqDiqVplG7qpNsMJdTAqR8NC61NhDm3a7RV3srUQC/WpoYLfnr7VbvPf/7uq25/7IWBJJXEG7ER8jA1kK5VP7cdL389Qxk1aDV3BfH6X+rEOKmhLekGwRGCeE1cHeK8chPTu5HnmhYcNXATwc46bZkaAsoyddJthvCnEIzegAzc3oyhhjxzYw3a96ygBuO4y0wDSshQ0n5B6s9QPPODdy8Ph8t333BmKMWI4iXUMKv8PN3+MKC/C75dX8twQ2imcUwgZG86mL1ZbWgzGKw2HI2sLd4upYudxqTCBIKGuJleNRcpvvdjG85h3STL4T3mFvFfUTFVxnFH7HBMlXS7Am81kHPW/eSmmb6e1lzbVSiv2qtvsAq34qYWwuzmMltRzbxGdpwQu9ouNehT0BImV2l4GnPaawgFXIx0Lzoslzzj6qa6RjcSb5fSBVaD3Hoi51MRJ5C+mi33l6+CP1rcpKrKSzMCpk66XYCtI2poWKvByVQvvBIdCrC4ius89HN2nHdiLk88ZFOj5tKIU0iIGoyuV9VCGH0kkCfZPXDM1NCtU44SlQ3vwfmBZRndedjoHIpGDC6Dk2SbMJIvRAuzw1Mn3dbBOeJRqP6CjZBuWEPr7jipoXO3kTKrwd/Q07knhJXRXBCSg26A5qr/xCybADV0LV2wowSwGkJGk7EE5ud0yGi8N4i9nKNz02s1TInLUy3A/QJZ2O/FUYBbmGmowRCGrR7TY1YpB+/3852Iy1MceHG5BNA38ReaU/B8luH3JllIQHcINZaDvIVxtvLf3h46TNQdNXQuXcWM4lf/wLIdxEEftz/AqHZsF3FhPfcbdT3Hx/YQVBQrszJP9BJMnXQ7Ad0mhf5W1FD8K3ZQILTc37tnzwwIDaND98CAPjIlE/Zhci5PYfjUAJXVG4DJ1b9l1MDcg7apILZKMJ96dvBUOuX0vXmdgLOXOZh3oflpXjjyIHNzycmxUsO0uDzVAw6oYU7m6KeamODCvIUWv7qErg84IjUE3UZ6339I4/ho4u09mDPzOc46AC+FpuBBsprUYGYrgH7bkXkvZBH7hYTQmlNOK9JFMpL79/VzfoIMyVgF48ejCCgxVMk+V3lZoEqol01NTJd0u4JZDsBRg5mOlxMT+1fhHtM4nIO3qAVzC/fZtOfy9JLbDB4Z1MyTINrq8KPk0leUDB+WPQCG4OO8hbmSdE0N3UqXjCDkKEAYl1IfKKsBjSJYaPvDxhAKySZwfqzUMAbdbRtM6ycBftvgOViFZS3bTz5GDb0Z/1zWjcvTzes18wQI2uui2LHQ0PawgsXf82bdezN+PNRsAtTQrXQpqSrnezAKbhPYhl9GExmaHdv5F6dWg4dAlYw8RzFd0u0MSvWdGw6R29qu4sTScDAYHvM8/zhqUHVr2wf9x6+MLlyeRhVvwPY0F6mCo5eq0KHgtRhTbpwaWIuZRQdOOa1RA7DmgzMV+ioaCPMSXQp9ZqbZahiD7nYBf0KtitUAkhX6avauwpeJITmi1SARdxvphBoUyNLRvg6GTD/3BtQghONRA+IAwM2V27kOnHIaSpe2CuiY+DEQuDh4wEglXTx5EDMDpoIaBLrV3S5gdBoKHow1KD9fXQek1ZKHKrTyQIRWjm8F0AY1xNEhNRCrwRIBsYQjLxyiBnwiNHReqzeRdSLe1qyGClYSVEpPbO5vbyYi1Pj58VNDHNNIDUanGWqQh8z8kSdWzQljoobP3RG4MKp4o/Y6GtT2qYHJIfhBeM9RJ7gRDXDvmKihC+mGqaHHr3kw9igyqXxqyJirFIFKrd43YzBd0u0YLuQYsQ76ZpAYnsvJ3Rw1eDWOK2MEavjYbYEL3YmX9nUtNcQ0DIqp6sjX5K2GLqQbpoYKCbwuA6IGWwFMh7czTJd0O4ZTcTqewHhLMtQgJzNLNhBCmMYORRhAC/W0LXHsCt7kHcesrzA1FDYL6xAYwhSZvB6BMpEvPVEhrzDwIxzuFxoYXVPEFEl3XGDaNjVQhPXZk/x1ZwnvV58aItHYu1he1Z14wWY0wICIaCCVpGvTYtTgx8nLwomj6GAB0AjUUHKCMbC0KxRyd6JdXj8fUzdTSA2T091WQM1muo2VPEV907TCC5r3mCA0c5F1s7xqrNRQroHUKq5iNYTd9Dqmhu6kW4UaqBkB3ffZsQa3xN3LeRqpYZK62wo8auBO9slKyhg1RCL1dbG8qk3xAjJ0O1vbC42oQXdIcjZB/GTkPI8OFgB1SQ3ePRw1wNEwnxpAMzZKeKxKmCLpjgkNqcFagGIFln9vS9RQYYlKN9QgoK0Gq369mbIxyMynBrSVbXBcnhNWMB5XEB0sAGoiXc/GrOJTrrwkQQQ4cl2IXaigL345GgG3eO4IUyLdMQIP+ZqTbrWEqdjh+/FNxuP1Jhf1CPkKcmNrXUSU7spqUFtmr5Ieb2nTZCSJP4eI1cDK316s1RR2EPO4kXS5T7t0oEYvwdJyk9tU0G4uv0GE1tWNzX0NiloD0yLd8SA4uyZVFeuzDcFNt2SQqg+iQfXz4GR9FxGlO7cazIX6rbj7HMqoIZhDp9TQlXQbUoNtTeD4gkGEGnJ167R1KMasux0gXFvVhiE5alB/WrAaxrhExafJhZ3+YFgt/YtRg5c1n0On1NCVdKtRAzegGKYGAX7uqzejJnlqsXYDTIt0x4cq1CArmwSjz4QFaPodhzqihjEvUcElBm9gB8NqUoPhm5tch0FnhYcx2NtJdOtyTMMCINghgPBDUlD1UPHm4YhENWrQSeu5gDTANEh3vAhTQw/pM0MNKoWKI37EegPJk/xk/TQur4LAslAuuw4lUTV92ujR2QnuUWU2duwqwbQsAKrU2rCpdJMzQ2PVq4sP89tKqVvqTeY0wLRId3woGXG3oOE61clcDQNtEEcImcT/Vho6lL3gpMjF7qiBAQzI4t0ciqXOnp4aauhAuqNSAzyCpmvULphOahif7k4Q7FdhKg8HpTcX26KGRebJFm2Kt5wmIwrIUwPXr2JiPjR4no9m4m1fujFqUNdCPak4NQSzFajaxDXGtEh3yhCrSlEngBpcBW49aihHA2rgddYbxuBRS+GnRXnDhYZ2PydKfGctaugc0yLdKUTMAFQmhaxYl8y3M7Y+NQS0PrwlXUifu9DzraC8cWrAADt+tLDFzKjYCtKdEPwRZRi5Z4YkY+uyITVcf0bk4tSIN2Q1BFIHzo+CZuIdr3TrUANJtSWthq2huyOifNiInvKubq1F2TXhU0Osqeuiazzty4axPKpJYKtTQxRTo7sjgqtKUlvkW/h5pwZ5ljvZEbaC8taVR6KGLYpkNTj4W9IJJGrAqCsP7FwzSWwF6U4RmNoCde9d3dbUwCNRA8aEm/4RsBWkO92I1f3PITWMs6nbCso74aZ/BGwF6U43YnX/c0gN40RS3i6RpNslEjV0iqS8XSJJt0t0Qg2DeyFWj6+W4dhGaZLVjbXSJGtPVsjmWGmS4+ulSY5uHC1N8+Tj99673IHyYumWYblc+h4qyIiiiugpniyvUYqjGw/CdxuLdP/Pk/XEUUFRIWpKYb1efa6X6zLE8ZVOpZu98WsITx4/XIbV4ROlaYZHS5OsDUqTLA5XStOsb5QmOTJcKk2zuVi8/PVdS7cMa+ulBaWoIiOKY8PatxwerNW+ZXn4HfhyY5HuncPVWmWsoKgQNaWwWf41QTz5ZK3k6+udSpdi4UulSX5/eG5ZkpOHHy7N5t+vlCZ54fDtpWm+fl9pkkuHLy1N8+h/Lk0yBtz39dq3vGhIQzuU48+HO2rfc/iW2rdcPHxF7XtGxbnD36+TvIqiQix/plbyg1+ulfzuUDgrHn87Xyv5qEjUMEkkahgViRo6Q6KGSSJRw6hI1NAZEjVMEokaRkWihs6QqGGSSNQwKhI1dIZEDZNEooZRkaihMyRqmCQSNYyKRA2dIVHDJJGoYVQkaugMFajh3WOkhnK1r0ANl2xvanhb7XvGRA2vHb689j2j4tzhu+skT9RQHde8vjTJ+R85sTTNjb9emuQV7ylN8rSPPbs0zWVvL01yzl88vTTNu4I7tY8Tb//t2rec8u/Oq33PS2+ofUv2B79V+5az/3K2/nNGxIkfeX6t9BUUFeKPXlkr+dV7aiV/21trJX/jlbWSJyQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCTUxNydxw7stUc7fufvfnzTqNmc/elHl+962aQyaeuNugMqoDmY++9PrN35Uu9y248ReM/w9M4f88n1tbW1j7b4mCB6dy8/+oGTKj/ptw8ce+CNqKhhvO3+DKUsuUUn9++LJXd6XlYglb59PQnhrMevnbnoZ2Zp8qlfu+/VJ4+czV+/79zTrlwtX1jdSSZtvVF3QAW0B7t/54xffO/Ss2j5235MgdfeK6ih48fccglzuQtc8NOXn3DeXR+u+qQ3/OCfnbD78EVVkp/83uW++GtTxm8xyf37osmtnpcUyKRvXU+C+MBXi3+uvUcfffbOhp8RykYGDLnj6slk0tYbdQdUQFzaB95Ez7T/mGceOE9QQ8eP+eJvMZe7wJ/92+KfV/yg6pPuEhFw9v1dheRn/ejWS+XHaFNGb7HJ/fuiya2exwtk00u0qSdB3C0+vucMz5QH5238ahvZSHzpDyeTSVtv1B1QAfE73/9aTgrtPuZ/7M0ENXT8mDt+nbncBT5zY/HPhQeqPunxlxT/7Fx5SoXkz80ukh+jTRm/xST374snFxB6XlIglL5NPQliebf8d5c8uPauVrIROOWxl0wmk7beqDugAsKDM/70GycyUmj3MW/4WiapoePHPPBs5nIX2HMoz7LP3VD1SfcX7W125vDplZKrj9GmLLvFfrvkvrLkSs9LC2TTt6snIewYni/+/PBiefQf7/37nzzxxXNGzUbgE7dNJpO23qg7oALCg68ND13ASaHVxzx1/wskNXT8mOyx5e9+8nntvU0E7zry6VtuPbHqk971wNyJ5+wbnlIpufwYbcrSWzA1VE8u9by8QCZ9u3rC4frFxcUXnDCUMfUWXidP/c2X504++z/Ua2iZbArc+O1TaxeolUyy0d+oY6ACooNfvPJnu3wptPuY3/18Jqmh48dk2cyLP1y0a209Joyn33nDm/72/vOrPmnHDQsrD/zX1WrJ5cdoU5begqmhenKp5+UFsulb1RMOZ+R5fpI2S5bkv9nt+4p/nrZWKwInk02WfegfmkQObSWT0d+oa6AC4ne+5g5PCi0/pj+XwQ5FV4+ReO8323tMEH/5V8U/Vx88oc6TrryzWsFgx6BIWXYL26EoT671vLRAYKyhTT0J4u6rin/y4Vny4LNiSCdbeNWI2WTv/F6jwZFWMmnrjboDKiB+510/oWdafsyvPLFQYPijq7t9jLq0e7G9twlivlf8s+Po+XWe9M1/Xa1gejjRpCy7hVBDxeRGz0sLBKihTT0J4v23F//su1cd7BWW99PX8hGzOeeJ541elqaZtPVG3QEVEB1kV91Hz3TyGGE1jOExb/1ue48J4jtvKf45ffOXajzpHQtPr1Yw9THalGW3EGqoltzqeWmBADW0qSdBnPX4NadcePjiLPvoLVl28kN//AtnfuGLo2Zz460tlKVpJm29UXdABbQHl14wc/a/+umbwZlOHiOhXJ66fEzvxaee9vqH39neY4J4+4Ff2/HM//ZfKj9px9ynDr0oq5b8Iu26pFOW3UKooVpyq+elBVLpW9eTMOa+tfaQ2Czqi2IHpWf/zZHFTz5t1Gxu21gr8PCEMmnrjboDKqA5eN/31le+9QZ4uZPHSChH6S4fc01/7eg9e+HlzvC2/7t08E9nqj5p70/+93WnZxULpr91m7LkFkIN1ZI7PS8rkErfvp4kJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCSMDaeePekSbGck6XaJJN1OcfN1ky7BdkaSbpdI0u0IV75e/OvEO3fnsQN7J1ecbQYq3Sx72/2TKsv2A5Hu2Z9+dPmul02uONsNX7ha/GvFe9bj185c9LPXTLBA2wpEutnJ713uh1Mn1AOR7l+/79zTrlx99gQLtL1AxPuBrxb/XHvP5MqzvUCJ90e3XpqooTUQ6e4Q/9xx9cSKs93whaOLi3dlN3/ne8f/31/8QpbdLST7nOGZky7WNgGRbvZct7l7wsig0hX40h9OtEjbCZp5/9MvP3Xntz+YZcu7xeHyrskWatuASLdAoob24Es3O+Wxl0yyRNsKwCj7jUPZjuH54vCHF0+0TNsHWLoCiRragy/d7BO3TbA82wxAvKdunnjC8PnicOF1Ey3T9gGWrvidqKE9+NK98dunTrRE2wpwKGf4DN2hWNo9ySJtIxDpZoka2oQn3Q/9w+xEC7S98Hko3tOzu68q/ubDsyZapu0DIt0sUUOboNJ95/fS8HmL+Pj14l8r3vffXvzdd+9Ei7SNQKSbJWpoE0S65zzxvMmWZ5vh0gPnnfSyp1jxnvX4NadceDiNQrYEIt0sUUObINK98dYJl2eb4YSPLi3dcbpT3rlvrT10+aQLtW1ApZuooU0Q6d62sVbg4UmXKiEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhIWE74P8DV2jjSlhRYcMAAAAASUVORK5CYII=)
formula(n4)
rc <- nlsConfRegions(n4, exp=2.5, length=500)
plot(rc)
![plot of chunk unnamed-chunk-7 plot of chunk 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rc <- nlsConfRegions(n2, exp=2.5, length=500)
plot(rc)
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