{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# TD introduction au tidyverse" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.3.0 ──\n", "\n", "\u001b[32m✔\u001b[39m \u001b[34mggplot2\u001b[39m 3.3.3 \u001b[32m✔\u001b[39m \u001b[34mpurrr \u001b[39m 0.3.4\n", "\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 3.0.5 \u001b[32m✔\u001b[39m \u001b[34mdplyr \u001b[39m 1.0.3\n", "\u001b[32m✔\u001b[39m \u001b[34mtidyr \u001b[39m 1.1.2 \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.0\n", "\u001b[32m✔\u001b[39m \u001b[34mreadr \u001b[39m 1.4.0 \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.5.0\n", "\n", "Warning message:\n", "“package ‘readr’ was built under R version 4.0.3”\n", "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m masks \u001b[34mstats\u001b[39m::lag()\n", "\n" ] } ], "source": [ "library(tidyverse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le jeu de données utilisé pour ce TD est `msleep`, un ensemble de données sur le sommeil des mammifères." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A tibble: 6 × 11
namegenusvoreorderconservationsleep_totalsleep_remsleep_cycleawakebrainwtbodywt
<chr><chr><chr><chr><chr><dbl><dbl><dbl><dbl><dbl><dbl>
Cheetah Acinonyx carniCarnivora lc 12.1 NA NA11.9 NA 50.000
Owl monkey Aotus omni Primates NA 17.01.8 NA 7.00.01550 0.480
Mountain beaver AplodontiaherbiRodentia nt 14.42.4 NA 9.6 NA 1.350
Greater short-tailed shrewBlarina omni Soricomorphalc 14.92.30.1333333 9.10.00029 0.019
Cow Bos herbiArtiodactyladomesticated 4.00.70.666666720.00.42300600.000
Three-toed sloth Bradypus herbiPilosa NA 14.42.20.7666667 9.6 NA 3.850
\n" ], "text/latex": [ "A tibble: 6 × 11\n", "\\begin{tabular}{lllllllllll}\n", " name & genus & vore & order & conservation & sleep\\_total & sleep\\_rem & sleep\\_cycle & awake & brainwt & bodywt\\\\\n", " & & & & & & & & & & \\\\\n", "\\hline\n", "\t Cheetah & Acinonyx & carni & Carnivora & lc & 12.1 & NA & NA & 11.9 & NA & 50.000\\\\\n", "\t Owl monkey & Aotus & omni & Primates & NA & 17.0 & 1.8 & NA & 7.0 & 0.01550 & 0.480\\\\\n", "\t Mountain beaver & Aplodontia & herbi & Rodentia & nt & 14.4 & 2.4 & NA & 9.6 & NA & 1.350\\\\\n", "\t Greater short-tailed shrew & Blarina & omni & Soricomorpha & lc & 14.9 & 2.3 & 0.1333333 & 9.1 & 0.00029 & 0.019\\\\\n", "\t Cow & Bos & herbi & Artiodactyla & domesticated & 4.0 & 0.7 & 0.6666667 & 20.0 & 0.42300 & 600.000\\\\\n", "\t Three-toed sloth & Bradypus & herbi & Pilosa & NA & 14.4 & 2.2 & 0.7666667 & 9.6 & NA & 3.850\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A tibble: 6 × 11\n", "\n", "| name <chr> | genus <chr> | vore <chr> | order <chr> | conservation <chr> | sleep_total <dbl> | sleep_rem <dbl> | sleep_cycle <dbl> | awake <dbl> | brainwt <dbl> | bodywt <dbl> |\n", "|---|---|---|---|---|---|---|---|---|---|---|\n", "| Cheetah | Acinonyx | carni | Carnivora | lc | 12.1 | NA | NA | 11.9 | NA | 50.000 |\n", "| Owl monkey | Aotus | omni | Primates | NA | 17.0 | 1.8 | NA | 7.0 | 0.01550 | 0.480 |\n", "| Mountain beaver | Aplodontia | herbi | Rodentia | nt | 14.4 | 2.4 | NA | 9.6 | NA | 1.350 |\n", "| Greater short-tailed shrew | Blarina | omni | Soricomorpha | lc | 14.9 | 2.3 | 0.1333333 | 9.1 | 0.00029 | 0.019 |\n", "| Cow | Bos | herbi | Artiodactyla | domesticated | 4.0 | 0.7 | 0.6666667 | 20.0 | 0.42300 | 600.000 |\n", "| Three-toed sloth | Bradypus | herbi | Pilosa | NA | 14.4 | 2.2 | 0.7666667 | 9.6 | NA | 3.850 |\n", "\n" ], "text/plain": [ " name genus vore order conservation\n", "1 Cheetah Acinonyx carni Carnivora lc \n", "2 Owl monkey Aotus omni Primates NA \n", "3 Mountain beaver Aplodontia herbi Rodentia nt \n", "4 Greater short-tailed shrew Blarina omni Soricomorpha lc \n", "5 Cow Bos herbi Artiodactyla domesticated\n", "6 Three-toed sloth Bradypus herbi Pilosa NA \n", " sleep_total sleep_rem sleep_cycle awake brainwt bodywt \n", "1 12.1 NA NA 11.9 NA 50.000\n", "2 17.0 1.8 NA 7.0 0.01550 0.480\n", "3 14.4 2.4 NA 9.6 NA 1.350\n", "4 14.9 2.3 0.1333333 9.1 0.00029 0.019\n", "5 4.0 0.7 0.6666667 20.0 0.42300 600.000\n", "6 14.4 2.2 0.7666667 9.6 NA 3.850" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(msleep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Première partie : Visualisations graphiques avec ggplot2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Tracez l'histogramme de la variable `awake` (temps d'éveil par jour, en heures)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n", "\n" ] }, { "data": { "image/png": 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/WI6FAAatNd4cABiYVt7z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\nOwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = awake)) + geom_histogram()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Ajoutez l'information du régime alimentaire avec l'argument `fill = vore` dans aes(). Que constatez-vous ?" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n", "\n" ] }, { "data": { "image/png": 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scNnZrrISxi2hV21ePGvRlCqKio6KDRAAA06/qvtzp2g1PXWq1jN5hvWhl2E8bd\n/dL4llc0Vn/38Ys3XXLNFyH03XHH9TIxNAAAFkYrw+6lP+0yt487SSpXHnbKdRdtXdqxgwIA\nYOG18eNOQqq428+WHLDyGmst092XVwAA5IN2fNwJAAD5xOk2AIBILNy7Yuu++tdDDzz52odf\nVYUu/ZZbc+gO263ZryhDIwMAYKG0Puxmvnn1yGFH3v1xTYvrjlhml4v/fuMhq5V1/MAAAFg4\nrX0pdtqjv9/mt3d/XNdrvYMuvOWBsWMfuOVPB6/fq/bju363zRGPTcvoEAEAsmPsIb2TIZd8\ntcgOo5VhN/FvF4z5MhQOPnXs89ccs/uvttjiV7sfffVzY08dXJj+4voLbp648DsGACCE8OgB\n3ZNNr+iQmmrlS7GvvfpqQwjr7b3/4BYrFA7eb+Sao9545dVXXw9hy44YDQBADg29emI612MI\n7RhGK8/Y1dTUhBC6du0659XdunVrXggAsIhr+RrofXuWJpufcvupO6+7fL/Kil4D1tvjsle+\nb77l9+Ou2HfTFft3K+/Sd/lf7Hb6I/9rrqHq9+88fqe1B/QoLS7rvfwWv7vh3ZnNK818784T\nhq+3TK/y0m5LrbHTSfd9UhPGHtJ7m9FTwjOH90mSJElWPPmNkPmXYpdeeukQwuvPPz+95bVV\nzz77evNCAIDIPPXnP03e9dpnP/z6s6dHDXj+iOEnPVcXQgih4cljtv/Dm2tc9Ownk759/7HL\nd02NHv1U0xr/Gz1sg91umDH8mlcmTPr82XNXeuHQob97qCqEEMJHV+/wiz1uDyOuefGTbz9/\n6YZ9Km4Z81QYevXER/bvFja5/Nt0Op1Ov3/W4PaMt5VhN2jXEaskYeKNh478yysTG0MIofHb\ncVfueehNE0OyyohdB7VnCAAA+WnAIX+5dNfV+3Up77XqPieOXG78009/GEIIYcpHH0/qvs62\nWw7sWVbWY+m1h59y95lbhxBC+rkLT36kcdjFt5/wy4G9KnuvPPySqw8pvmnUNZ+E0PjUBaeO\n7XbwmFuP2nKFvpVdF199xxPvOmPr+e594bUy7JLV/njDmRt0b/zfvb9br29FnyWX7F3R9xeH\n3f9ZuvuGZ9143KodPCgAgHwwcIUVmlupV69eYdKkSSGEEHrueOg+Xf82fJWt9jv+Tzf849Xx\ns1/S/PTll79KNtx+ux6zVypcd8j6BW++9kZD+PTVV78t2nDzjUoyOd5Wf52b7RQAACAASURB\nVPNE2VonPfXGYxcdusP6A3uFqqqk1wrr73DoRY+9+c8T1/QpdgBAlFKpeaRS3+Fj3v342Ut/\ns1L633edtM1yA4aMeq4qhNDY2BjSD+/XLWlWOOzOurrx478J6XQ6hCTJ7HgX5psnin++1R+u\n2OoPGRsLAMAio6Tf4G32HbzNvsee//VVW/T//Z8fOnGj3Qass06fgr7nfv3I/r1+fPPGddbp\nU/fYP5+v3WmT4jmXFBUVhYaGho4YU6vP2NVPeG3s2LHPvD/5h6smv/fM2LFjX/uiviMGAgCw\nqHj7z7vscfbdL/3nq+k1M75+65HnPwo/X3654hBSmx1/7lavHL/LKfe8+tnkmdVTxv/72VtO\n3mnf0RNCSG123Jlbfn/Nfnte9uR/v62aOuGt+8/Z5bTHQghhmWWWCR+8/NwXMxvbPa7Wht0X\n1++74ZZb7n3LZy1edy397Oa9t9xyyAE35fzzmQEAsmjQvidvX3PXMTsO7tu976o7Xjlz1zse\nPmOtEEIIS+//95ev2+TDi3dfe4nuPZbecMRpj1Xsc/xui4cQwrIH3//iTcNrb9x3nSX7/HzD\nfW+csec+m4QQwtIHXnjmuu8eMahn0eyPO2mzVr4U++nfrn2iOgwYefBWpT9cWfbLg/f6+XXn\nP/LXm8fvd8wS7RkFAEAeaPnJwL++uXqOTwle4shx6SNn/TvVY/XfnHHHb86Y2zZKltvxtNt2\nPG1ui8pWHnHBfSMu+PHV3Tc++cE3T57HMBZKK8/YvffeeyGEFVdccc6rV1pppeaFAADkVCvD\nruk9IZMnT57z6u+++y6Epnd5AACQW60Mu9VWWy2E8NYjj3zZ8toJDz/8VghhlVVW6fiBAQCw\ncFoZdv1G7LdNWZj5+Em7n/XkF3UhhFA3Yezpu580tjqUbXPA7otlcogAALRGa98V22/fv1yz\n85IF3z59ytDFu/RcYomeXZbYctSzkwp/vtt11+zbL6NDBACgNVr9OXbJz/e641/PX3vsLhut\n3LdgxozCvoM23vWPo1/81227L5nhz1AGAKA1FuabJ1J91j/ggjsP+Ml7dAEAyAMLE3YAAFk0\nda3Vcj2ERUyrX4oFACC/OWMHAOSpdy+o7NgNDjpuWsduMN84YwcAEAlhBwAQCWEHABAJYQcA\nEAlhBwAQCWEHABAJYQcAEAlhBwCQVWMP6Z0MueSrDGxZ2AEARMI3TwAAZNXQqyemM7NlZ+wA\nAGZLT3r+4n03HtinrLik6+Kr/ero2/5TPWvJfXuWJpsec/UR2681sG+Xsq4/X2/k1a9PfO/W\nI7ce1L9LaUXfFbc67qHPm3Ptvj1Lk81Puf3Undddvl9lRa8B6+1x2SvfN+/ES7EAABn38eXD\ntjzpX6ueOfZ/k75+65Z9G27bY/NDH65qXvzM1WMK9r/ppY+/+u+Du6fv/N0WK2xzRdGhd739\n9cT/3PqrSRePOPS2SS229dSf/zR512uf/fDrz54eNeD5I4af9Fxdxscv7AAAmjx9wRnPLn7o\ntZeNWL1vZfcBmx514znbfjfmjOs+n7186UOuvGinQb0ruiyxyXEHbpKe3HPPqy741cq9K7os\nscVxB2xQ9czT/2qxsQGH/OXSXVfv16W816r7nDhyufFPP/1hxicg7AAAQgghfPn225OK199w\nnYLZV/QZMmSF9LvvvDv78sAVVkhm/bNHjx4hLD/n5anffVf/w9YGrrBCc2f16tUrTJrU8nxe\nZgg7AIAfJEmLC+l0es5lSZjf5TmkUtnPLGEHABBCCKH/qqv2qh33wquNs6+Y9NJL/00GrTIo\nl4NaKMIOAKDJpseduvH4Kw868s63vpk25dNnL937xH/02PfUA5bM9bhazefYAQDMsszh9z7e\ncMyJJ23+8z2nFfZZYZMRt/zz7G275HpUrSfsAABmS3ptdNSY546ay5Jf31w9x9/b7Xz7HH9/\nVzjivvSIed54iSPHpY9svuQDigEAWIB8PGNXWFiYi/eRtEvTu2IKCgpKSkpyPZYsKSgoSJIk\npvnOfy4FBQUhhFQqFc2UFziRwsLCyO7inMjnH2DTE1dxcfGP3vaXK5n+WTW/fbGoqGi+b2XM\nkqw9NrIz38bGxgXfiMzLx7ArLi7OUNjVnzi3U6utVnjOxfNa1DTgwsLC8vLy9uxiEdI05bnO\nN3M/54y6YGzXNq87aof6Bd9oris+0I5jcP1w8rjD27z2Ah+rSZKkUqmf3mzU+pe3eafbvXZZ\nm9ddROX/c0JZWVnLi+05fs9qx2MjhDCqvI3HfruOo9D24yhX810oTf8dLS4uzvSO6uvb+DRI\nx8rHsJsxY0ZdXUa+dKOyfatPnjx5Xou6d+9eWFhYU1NTVVU1r9tEpqKiIkmSuc43cz/nvBXl\nmEtKSsrLyxfFqeWVfP4BplKpnj17TpkypeW5lnYev+2Rzz+rTMjOfHv27FlVVVVbW5uFfeXz\n+enOYxF7xRMAgHkRdgAAkRB2AACRyMe/sQMACCEMOm5aroewiHHGDgAgEs7YAQB56qKLLurY\nDR599NEdu8F844wdAEAkhB0AQCSEHQBAJIQdAEAkhB0AQCSEHQBAJIQdAEAkhB0AwCyvHr9c\nkiQVW/31yx+uq7/510my6RUTW96u8aUjlkqSZNWz3s/2COdP2AEAtJBKVT9xxllPVc/nJrVj\nx9w6vl+/vu/cMOb/0lkbWCsIOwCAFvrstOdWk6894YqP53mLmQ+OuWPyRifeePDKH/1tzHMN\nWRzbggg7AICW+u17zu8HvHzeafdPnfvy7+8Zc9+MoXuN2GqvvVb/8rYxj87v3F6WCTsAgDkU\nrnXcGcMbbj35onca57L0y9vGPJreeq9d+oTl9hz5i6l3jbmvKusjnBdhBwDwIz12O+u41d77\n88m3fvuTRZ/+bcxTZTvs9etuIYQldt9r0+oHx9w1KfsjnDthBwDwY8mKR5w9ssv9p53zct2c\nC9694Yb/q9xpzx0qQggh9Bsxcsswdswtn+dgiHMj7AAAfqp821EnDRn/lxOubRlt6XFjbnwv\nTP3bjmVJk577PFrb+NyYmz7M2TjnIOwAAOZmqYPOOaT/U2edPnbG7Gvqnx5z8yeDTns73ULj\n80cu/sYNN7yRy5E2E3YAAHNVvNFJp28z7W9/e3LW5ZkPj7nj6xV32WWVljdKNth5p8U/vHHM\nc3N7o0W2CTsAgHn42Z5nH7lSelayTbt3zD1TVtpll0Fz3ibZYJdhi4+/5fonarM/vh8rzPUA\nAADyxdrnfZg+r+UVqTXOfKfxzFkX9vj79D3mslKy8WXj05dlfnCt4IwdAEAkhB0AQCSEHQBA\nJIQdAEAkhB0AQCSEHQBAJIQdAEAkfI4dAJCnjj766FwPYREj7ACAfFRZWZnrISx6vBQLABAJ\nYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQ\nCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcA\nEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEH\nABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlh\nBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQCWEHABAJ\nYQcAEAlhBwAQCWEHABAJYQcAEAlhBwAQicIMbz89Y8K/Hn/g4Wde/2DC96Fr/+XW3XaP32w1\nsDLJ8G4BADqfTJ+xm3D/uWf+fcKAXY6/4qabrjhheJ+3rjn+lDs/bszwXgEAOqFMh11B302P\nueiMkRss0720tPuyG/92301LPn7kyQ8yvFcAgE4o0y/F9t985/4tLqZKSopCQ0NDhvcKANAJ\nZTrs5jT9lUefn1w6aNAyc1791FNPHXvssc0Xr7rqqnXXXTcT+69p3+q9e/ee/w1KS0tLS0vb\nt5NFzFznm+mfcx6KeMyL4tTySv7/AHv27NnyYjuP3/bI/59Vx8rafLt27ZqFvdTV1WVhLyxQ\nFsOu8ZuxF13+bM2gg0cOKcveXudQus1u7Vk93VHjWBjJ0y+0Z/XqR+5o87ol51/WthXPWv/y\nNu80hHBmaON+c6jmj79v45rrt2u/7fpR/72N6273WtsPhUcLRrV53RDC1g3tWr3NXnpywzav\ne8rktr9Z7MydcvKs0+m08ykL8krWwm7K/1112pVvdN3+1BO2W+zHT3MrrLDCiSee2HyxX79+\nVVVV2RrYQpjPqMrKygoKCurq6mpqcvjf3Q42/3uhpKQkhJCJ+ebnvQ/Zl+ljIUmSioqK6dOn\np9M/FGRRRnc5X53t2M/OfCsqKmpqaurr6zO9o8bGxqKiHD58mCU7YTf97etPPf/Jhs2OP/vA\nwXM5IbzYYosNGzas+eKUKVOqq6uzMrCFM59RNb0i2dDQkJ8jb5v5z6WgoCBJkkzMN6afIbRH\npo+FVCrV9Fu/sfGHzyrI4W/mznbsZ2e+5eXltbW1tbW1WdgX+SALYVf9wW2nn/nA9A2OOffw\n9Xr6ADsAgAzJdNjVffrg2aNu/3atI889ckgfVQcAkDmZDrv/PnrXm1Xp8MLFB71wcfOVax5x\n56gtOtebRwEAMi7TYbfywTc9cHCG9wEAQMj8N08AAJAlwg4AIBLCDgAgEsIOACASwg4AIBLC\nDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACAS\nwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAg\nEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4A\nIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIO\nACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLC\nDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACAS\nwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAg\nEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4AIBLCDgAgEsIOACASwg4A\nIBLCDgAgEoW5HsBcFBUVFRbm48DKysrmtSiVSoUQCgoK5nObRc7851JYWJgkSSbmG9PPENoj\n08dCkiQhhNLS0nQ6ndEdtVJnO/azM98kSYqLiwsKCjK9o8bGxkzvgtbIx34qKCho6qR8U1xc\nPK9FTc+PBQUF87lN27z05IbtWf314rav/tDjSXt23TbbvZZ++7W2rhva9cvpoTXbON+CN087\nt63PzwVvntbGNUMIITSsfnr29/towaitG0a1efXOZrvX2viwfLRg1IVvXtjm/Z500kkLvE3T\nE1dRUVHLK89Y//I277Sdj+fi7Tv4+TPPtfn3xRn/aNcP6tTta9uz+rzU19dnYrMsrHwMu+rq\n6rq6ulyPYi6mTJkyr0Xdu3cvLCysra2tqqrq6N327ugNAvGbz/NVs1Qq1bNnz2nTpuXJuZbW\njDkmuZpv5vbb2c655qd8PDEGAEAbCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nFGZhH1UfPDR69P0vfzSxvnyxVTYdcdDIIf2ysVsAgM4l82fsvnnsvFOv/2TggRfffPvoUTsW\nP3/hSde8Vp3xvQIAdDqZDrv0u/ff8Vb5Vgfvt07f0uLKZbY8dM+1Jz9+x5PfZXi3AACdT6Zf\nEx3/5hsTS1dbY8XZAVk5ePBy6eveeKtmu01Lmm9UX18/Y8aM5ouNjY1JkmR4YG3RmlHl58iB\nzqb1z1dJkuTJE1eeDCNrcjXfzvZz7mwyHXZff/V16LPBz354EPX8WZ+C9GdffRPCks3XPffc\nc8cee2zzxauuumrdddfN8MDaolevXvO/QWlpaWlpacfu9L8duzmgc1jg81WzHj16ZHQkrdf6\nMcchV/PN0H7r6uoysVkWVobDLl1TUxuKiotaXFVcUhxqamoyu995OO3pJ9qz+qj2rd5GBTnY\n56w9v3la9nf6aMGo7O+0SU7m2065GnOu7qYcPjwWOaNGjWrbigUhZwfCojjm9hj15qi2rdje\n+e7UrrXJcxkOu6SkpDjU1bas+Nqa2lBSUtLyVquvvvpVV13VfHHJJZecMmVKJoZz1FFHZWKz\nIYQuXboUFBTU1tbOnDkzQ7vIN6WlpUmSdKr5lpSUNDQ0VFVV5XosWVJUVFRaWjpt2rRcDyRL\nioqKysvLQwhTp05Np9O5Hk42pFKpysrKadOmNTY25nos2ZAkSdeuXUMI06dPr6+vz/VwsqRr\n164zZ85seTotQ79h0+l09+7dM7FlFkqmX4rt269vGPftN+kwYNarsd99821D0q/fz1reqGfP\nni1fe50yZcoid0a36ddAY2PjIjfyNisuLk6SpFPNN4SQTqc7z5RTqVSnmm/zHx7V1dV1nrAL\nIdTV1XWSsGuabwihoaGh8zyw0+l0fX1955kvmX5X7BKrD+5V/dbr789+0pj2xhsfJisOXrVk\nvmsBALDQMh12yaAdR6w2/fG/Xv/q19W10z554sqbX+2x1W5bdK4/kAUAyIbMfwXEz355/Jn1\n11331yP3mFhf3n+VzY49a681O/iNowAAZOcrxbosv92RF2yXhR0BAHRmmf9KMQAAskLYAQBE\nQtgBAERC2AEARELYAQBEQtgBAERC2AEARELYAQBEQtgBAERC2AEARELYAQBEQtgBAERC2AEA\nRELYAQBEQtgBAERC2AEARELYAQBEQtgBAERC2AEARELYAQBEQtgBAERC2AEARELYAQBEQtgB\nAERC2AEARELYAQBEQtgBAERC2AEARKIw1wOIxPXXX//ll1+uuuqqG2+8ca7HkiW1tbW5HkJW\nPfHEE6+//nqvXr1GjBiR67FkSX19/YwZM3I9iuz54IMPHnrooRDCQQcdVFRUlOvhZEM6na6q\nqkqn07keSJbMmDHj8ssvDyHssMMOSy65ZK6HkyXTp0+vr6/P9SjInnwMu27duuV6CAtt3Lhx\nb731VklJybBhw3I9FjLik08+efDBBwcOHHjYYYfleixZVVlZmeshZMnbb7/94IMPhhCOPfbY\n8vLyXA8ne7p06ZLrIWTJd99913QXb7nllr179871cCAjvBQLABAJYQcAEAlhBwAQiaTz/Nks\nAEDcnLEDAIiEsAMAiISwAwCIRD5+jt0ipPrJM3a99NWW16xy8I3nbNcjV+OhY9R//+ErT48d\n+8Szr31etfLBN5+zXdc5l1d98NDo0fe//NHE+vLFVtl0xEEjh/RzJC1a5nsXO64XfekZE/71\n+AMPP/P6BxO+D137L7futnv8ZquBlckPt3AUEysP5HYr2vSUe/6wTq5HQQeqe/mWK58tG7rN\n73euO/aGhp8s/uax8069vmro8Refvnr5F89cedaFJ80sv/LQNUtzMFLaaAF3cXBcL+om3H/u\nmY92H37w8b9fc7Ew4ZVbLr7k+H9/f+Gfd1tm1qtUjmLi5aVY+LGiDQ+9+IT9tlvn510Kfrow\n/e79d7xVvtXB+63Tt7S4cpktD91z7cmP3/Hkd9kfJm0337uYCBT03fSYi84YucEy3UtLuy+7\n8W/33bTk40ee/GDWUkcxMRN2sFDGv/nGxNLV1lhx9qFTOXjwcun333irJqejAlrqv/nOG/X+\n4fdbqqSkKDQ0zD456ygmZl6Kbbf6cZfsufPMmrLe/QcM/uXuu2+zUne1HLOvv/o69NngZz/8\nrU7Pn/UpSH/21TchdJbvFO8UHNcxmf7Ko89PLh00aJlZlx3FxEzYtU/50lscuO2O66/cr2Ta\nxy/f+Zerjz/mk1MvO2ytTvT94Z1NuqamNhQVF7W4qrikONTU+L9+RBzXMWn8ZuxFlz9bM+jg\nkUPKmq5xFBM1/wltl9Jf7HXE9msP6F1eWtl35aGHHbfL0t88cffT3+d6WGROUlJSHOpq61pc\nVVtTG0pKSnI2JDqa4zoiU/7vqtOufKPr9ieesN1is8/QOYqJmrDrQMmSywwoTn/9zTe5HggZ\n1Ldf3/Dtt9/88E18333zbUPSr9/PcjgmMslxveia/vb1p57/ZMNmfzzzwMEtP9DGUUzMhF0H\nSn/+8f9qk5/16ZPrgZBBS6w+uFf1W6+/3zjr8rQ33vgwWXHwqv6vHyvH9SKq+oPbTj/zgekb\nHH324ev1TOZY5CgmZsKuPT6//6JL7n/lw6+mVNdM+/rfY6+44K5P+mwxfDOfYxqzZNCOI1ab\n/vhfr3/16+raaZ88ceXNr/bYarcteuV6XHQYx3UE6j598OxRt3+71hFnHTmkT/LjpY5iYpak\n0+kF34q5S1d98vx9dz74wrv/+7a2rHf/ZdbYatfdtlqpu0/GWtR9efcRB9/0yRxXLbXHVVfs\ntsSsC1UfPHTddU2fWd9/lc1+c9BeQ/oX/XQr5LH53cWO6wj8+5qRxz/04z+LXPOIO0dtMfsz\niB3FxErYAQBEwkuxAACREHYAAJEQdgAAkRB2AACREHYAAJEQdgAAkRB2AACREHZA3nj0gC5J\nMuSS8bkeB8CiStgBAERC2AEARELYAQBEQtgBPzXz02fHnLjH5oOX69elpKRLn2XW+dWhV73w\nTWPz8kl/3bwg6TbygfrZV0y58VeFSZL0/d2zzd8+PeHSXyRJn0PGplu5zbmZ/vY1v/55Uarf\n0PNfnv2N7ulJ/3f9cTtvsHzfytLisu5Lrb7NoVe+ONFXXgM0SQP8yJeXb/jTJ4vC5f7wzPTZ\nt/jk3LVC6Pu7ZxubLtbeu3uXkEqlwrInvT7rFpOv37YglI64e2art5lOP7J/RQgbXvx5Op1O\npxvGP3TUGpWhfJWD7v1f3awbNE64Y48BhT/ZyrIHPvRdZn8iAIsGZ+yAn0gqlt3y0CsefPm9\nzydX186c+vWHL9159LolH1523u1TZt1iwFZbDQxfP/74WyGEENL/3879x0RZx3EA/zx4dx5c\nMcHhaXK0cA0wg2h62bxDgXu+pbXImNqGkYsNoQlrbWb0C1nOFTWTEpVy+o/MVRaxCr3nABPo\nKutsWMhWcBEjMwHjHHJw9Tzf/jhI7s4/upLqHt+vv5493+8+e57vH9+9n+/32dcpNY/OK9i0\nWtsrSW4iIvK1SCflKKuYo//LNacbPf16nvmBml8sr7Y769bePJnlBg+XFtX36W5/9I2mzoHh\nsfHRC9+dPFCUoet9q3THZ/KMDgkAQGT4r5MlAPwPKcNfHdq6zpp20xy9RrgyXyQ+8fmfPVof\nTyAyV7s55/z0M8kUU9DQX2MVonL3DXPOldbiBCJzdX84NSdX7F5xvl+aHkOGzC2NA79Pf6qh\n2myBZmXtPRf4sF1Vi4kWbftyJgYCACCyhOxpAMB1z+ussGS/3O0LbfB6py6FFSzXsPcdu/3i\n1hKPw+HWrKzMMZm/TVd2OFq8Jeu6HY5BSikWTeHU9Ot88d78S5czKpztO82GgJazXV2c5PYy\nk6aMiHNOnHP/BZG2v59o6T99cwCACIetWAAIMvruS691+xJsle+d6jnv8fpkhXP+zbMpgb10\n2WKWRumQmr0X7ZKLlt/DYimVsaSJVqlN7pGkH2geYxnh1SQiouT7C63xcufB5w92Xg5sURSF\niLgsy7IsK4ri/8HP3/abLzQzAgBcdxDsACDIgNvtI+P6yu0PLVtkjNVrowRSeo87vg/qFsvY\nXTTRKh23Sx1KOmPziWgpE+NHJOmYJH1NBpt4txBmTSKiG5dts7fV3TeruXyluL3j12ktKamp\nAsXkHRm52vbD0YdnYiwAACILgh0ABDElJQl0oXH3no4+z/i456czTbs2rHnuVMjBJImMpZHH\n/sLOExOJjKUREUVZxJzo/g8r9jkVzSpxlTbsmn7624obPj3ySIKrimWVNf08dZjJ/A1Fawxj\njSW24tqPXH2Dl8Z9Y0M/nv3i47qn8i1Pt1z7gQAAiDz/1s98ABAxhj/YaAycKGZnFq5fQjR3\n84mAjs7yhUREFPeYJE/eGnqT+b8XLbsHwq4ZcNwJV87by+8wkPaWgvqeyfNOlHNHN92qu8pM\nZig6NkODAQAQSbBiBwDB4vP2t9Y/uTo9KS5aH7tgsW3znraWqszZc+F1zwAAALFJREFUoR3N\nTJxDRNG5zDo1l8xl7E4iojRRXPi3al4hGFnNJ81Vy0fqN1rW1p7xEpGwIP+Qy/V2VaEt3RQX\nrdXdYExesuLBLbsanNW2a/LqAACRTeAcR7YDAAAAqAFW7AAAAABUAsEOAAAAQCUQ7AAAAABU\nAsEOAAAAQCUQ7AAAAABUAsEOAAAAQCUQ7AAAAABUAsEOAAAAQCUQ7AAAAABUAsEOAAAAQCUQ\n7AAAAABU4g9RMG0wasnh8wAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = awake, fill = vore)) + geom_histogram()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Tracez la courbe de densité avec `geom_density` pour chaque catégorie de régime alimentaire avec `facet_wrap`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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I2NjVQq1Wq1fPVsa2urVqv5GttSqZRhGEwWI1h2snAcZ8SIUigU/M4ghUIhEon4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\nKDroISveWH7nycQKljJ37drVgZdfuHChqqqKiPp4Gmn3jLdjoL3MiYjS09O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N4+9YffLgqDhmDHth9//HHGjBktWhjU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\nQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = awake, fill = vore)) + geom_density() + facet_wrap(~vore)\n", "ggplot(msleep, mapping = aes(x = awake, fill = vore)) + geom_density() + facet_wrap(~vore, scales = \"free_y\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4. Tracez le nombre de mamifères appartenant à chaque régime alimentaire sous forme de barplot avec `geom_bar()`" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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d6Wp11w+vDumc/vzQzZ99BNl9x/9bhp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\n/x9BbgShcTNN7wAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = vore)) + geom_bar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5. Ajoutez l'information concernant le statut de conservation de l'animal donné par la variable `conservation`" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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6yL/Pz8/Pz88vLy+fPnp3qWdeEVu87S9BWblZXVqFGjEML8+fPLy8tTPU6NadKk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\nAACG+D+GVlhAQNFS2wAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = vore, fill = conservation)) + geom_bar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "6. Dans `geom_bar`, que change l'argument `position = \"dodge\"` ou bien `position = \"fill\"` ?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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vzkneuqoLi4+Jfem66O6tatm5eXt3Tp0rlz52Z6lnQY92zjdf2QnQ6bXsFnNp7w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\nJIQdAEAkhB0AQCSEHQB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TlTbWBZKkrYAQDV6Jv33ltQd/fdO6zesN2eezRes/e//12QtfteXWuv2tC0W7d2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\nE/8DKHIH4Wq6GSEAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = vore, fill = conservation)) + geom_bar(position = \"dodge\")\n", "ggplot(msleep, mapping = aes(x = vore, fill = conservation)) + geom_bar(position = \"fill\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "7. Tracez le temps d'eveil (`awake`) en fonction du temps de sommeil paradoxal (`sleep_rem`)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“Removed 22 rows containing missing values (geom_point).”\n" ] }, { "data": { "image/png": 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DuIEfA2VhjboZuKvnW8jW7y9qnY/NNf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\nACji/wNTn6sG7g/E/QAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = sleep_rem, y = awake)) + geom_point()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "8. Améliorez le graphique en ajoutant l'information sur le régime alimentaire et sur du poids corporel (`bodywt` : body weight) avec les arguments `color` et `size`" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“Removed 22 rows containing missing values (geom_point).”\n" ] }, { "data": { "image/png": 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PLidgdqq/jSJ56eMebCqU9cf+YT17fZ4rny6ogVH2P02AEAgMRWeunVY+0NNTXh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\npgIA1AbFDsA5FEWWFU/16V7Z1fRhAAB1QrEDcA6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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = sleep_rem, y = awake, color = vore, size = bodywt)) + geom_point()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "9. Tracez le poids du cerveau (`brainwt`) en fonction du temps de sommeil total (`sleep_total`). Le graphique est plus clair avec une échelle log pour l'axe des ordonnées (`scale_y_log10()`). Ajoutez une courbe de lissage avec `stat_smooth()`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n", "\n", "Warning message:\n", "“Removed 22 rows containing non-finite values (stat_smooth).”\n", "Warning message:\n", "“Removed 22 rows containing missing values (geom_point).”\n" ] }, { "data": { "image/png": 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2fNKuw6p7Itlpfwer16vd5mi2kXlaiYomj37hZrq4lIKSkNnbGIRHGY64WOdu3+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\n+7REsSHYgaRUrNe4j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Fwhn7B8aHDt3V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8NfKtxyf6LYpQAASB9G7AAAAAAkAsEOAMSz\n++/p1Mld+aFf7AIBAKILgh0AAACARGCOHQAAAIBEYMQOAAAAQCIQ7AAAAAAkAsEOAAAAQCIQ\n7AAAAAAkAsEOAAAAQCIQ7AAAAAAkAsEOAAAAQCL+H6RcpQqjXqnJAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = sleep_rem, y = awake)) + geom_point(aes(color = vore, size = bodywt)) + scale_y_log10() + stat_smooth()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "10. Tracez les boxplots suivants avec `geom_boxplot`. Le titre du graphe se modifie avec `labs(title = \"Titre du graphe\")`, ceux des axes avec `xlab(\"label pour x\")` et `ylab(\"label pour y\")`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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969e4cQFixYsN7nAgCgmXIMu0wmE0KoqqoKIaRSqY8XL168OITQsWPHvMwGAEAz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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "ggplot(msleep, mapping = aes(x = vore, y = awake)) + geom_boxplot() + \n", "labs(title = \"Temps d'éveil\") + \n", "xlab(\"Régime alimentaire\") + \n", "ylab(\"Temps d'éveil\") " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ggsave(filename = \"Boxplot.jpg\")" ] } ], "metadata": { "kernelspec": { "display_name": "R 4.0.2", "language": "R", "name": "r-4.0.2" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.0.2" } }, "nbformat": 4, "nbformat_minor": 4 }