Exercitii
Cu tabelul pseudo_facebook:
Reprezentati printr-un nor de puncte variabilele friend_count si friendships_initiated.
qplot(x=friend_count, y=friendships_initiated, data=pf)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAAAwFBMVEUAAAAAADoAAGYAOpAAZrYzMzM6AAA6ADo6AGY6kNtNTU1NTW5NTY5NbqtNjshmAABmADpmAGZmtrZmtv9uTU1uTW5uTY5ubo5ubqtuq+SOTU2OTW6OTY6Obk2OyP+QOgCQkDqQkGaQtpCQ2/+rbk2rbm6rbo6ryKur5OSr5P+2ZgC225C22/+2///Ijk3I///bkDrb/7bb///kq27k///r6+v/tmb/yI7/25D/27b/5Kv//7b//8j//9v//+T////G7XN0AAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nO2dC7sbN5Ke27fZ9ZmRnURer2V75SSjya6cjHV2pLacY1n9///V8tKXuqOAbjRBsup5bLIBfFUF4CWIBimebggLu1LrLp1AWFipBbxhV2sBb9jVWsAbdrUW8IZdrQW8YVdrq+DtLbNr6ygvEjTS3VsZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagvK90u67bKGbA24DyrtLtuiJ6A95GlXeVbsBbTxrpVg4a8NaTRrq1g8aet5o00m0zaMDbqDLSLVMGvA0oI90yZcDbgDLSLVMGvA0oI90yZcDbgDLSLVO64P346uUwfPj+4dk7+hDwbqGMdMuULnjfPrw8Afz2K/IQ8G6ijHTLlB54n/71314OH358Mzx9+wY/BLybKCPdMqUD3o9/+4/DOvv03bvhww+v8cOh9ouDWat2WFhtM+B9++K4SXj/7IQrfhhb7Phiqy6NdNsMWrbyHhbZj8bKG/CuV0a6Zco0vG8fjvYi9rz1lJFumdKxbTgflX189eJ8zAAfAt5NlJFumdINb5zz1lNGumVKF7wp2zHf6tJIt82gAW+jyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8DyptLV/2bKQFvVWmku16q/7WqgLeqNNJdLw14g4ZWlQFvYb7VpZHuBtLY8wYNjSplqesPWwa8VaWRbpnU9yeFA96q0ki3TBrwbqW8BRraVQa8hflWl0a6hdJt9rxZt3oBbwPKSHeyvEO2gLcBZaQ7WcB7oaCR7nplwHuhoJHuBsrY8wYNVZXNpLsJvGFhl7RYeS+ojHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagbCjdC3yxsVwZ8DagbCfdS3y9plwZ8DagbCfdgLdmvtWl951uwFsz3+rSO0839rwV860ujXTbDBrwNqqMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqCMdMuUAW8Dyki3TBnwNqC8uXTjVyKDhkaVSan+DQnXp8/umAFvA8pbS1eF1/e9H3fMgLcB5a2lG/AGDa0qy/e8AW9daaRbUxp73qrSSLfNoAFvo8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pIt0wZ8DagjHTLlAFvA8pG0nUfwraRbsDbhLKNdP0ff60IGp+w1ZTeb7p7wFv++XDA26iyjXQDXl/U8nyrS+843R32vAFvVWmkWzWoyG7pj/s54H3/8PCXN8Pw4fuHZ+/oQ8C7hfLO03Utx2XwPn37Znj71fDx1Uv+EPBuorzzdCvCOwL84cc3/CHg3UR55+lWhvewyD5992748MNr/HCo+uJgpjYsLGEHdtfpjbqnb/78enj/7IQrfhgb5L/YXNbO2lBZGemWKT3wDnzJXVbegHe9MtItU/rgHX55GXveespIt0yZhnfcIXx89eJ8zAAfAt5NlJFumdKx8r59eDjseeOct54y0i1TOrcNtu2Yb3VppNtm0IC3UWWkW6YMeBtQRrplyoC3AeU1p5v3LbGAt6o00s2SZn7HMeCtKo10s6QB7+bKK6ZhB+UZN5dSJjPgLcu3uvQW08V8jbx5lAqaze55f/+6m+zTvwe8uygrByUIbgtvnu2w8j4esf396+ex8u6jDHjLlBK8I7a/xsq7k3JfeDfd82ZawFtVek3pHr/E7Wy3Wcx10v22DV862Q14VyoLpSv+wkNxzJXSPU4bfj0Oi3vLG/CuVAa8ZUoZ3kzbMd/q0itKN+ANeC+vrL3n3TLmOuke8D4eNg2Pn/0j4N1HGemWKUV4f/7sP79+/sdPnwe8+ygj3TKlBO/vXz8/npbFUdleyopB9V1xk+nmKQPeBpT1ghr3dC2mm6mU4B0ej9uGOOfdTRnwns06PMk853WzG/CuVAa8JzOP/uKorFFlgXSa5lva824Cb3y3YWdlvnSe5+tI16cMeC8XNOBdq1y/532cv4we57w7Ke8J3tp/kyLja+gB7xbKinveLWNuIB2Kv48RN2yNKhtK14VW0/D+9qf4N2x7KttJ18fWangLAPbC+8dPX/7x0/P4N2y7KXcNam44qsPbj+xm05uz5/35y+FX99fKsqOW51tdeuvp2rd6C1a5d/4+G1CUHIRz4H38PI7KdlO2A28P2M07c/UZgjdrAXbveX8+kev/Qm921PJ8q0tvPV3nIVtVePt54a0A72HTO/zcffJXJ7sB70plO3te2KoivI4YnpgivLmWHbU83+rSSPdsAldzUXFQ4rTGnjfg3Vl5HekuC2Vp0DX/YtQF7+mb6F3eOW/YPdiJiQt7UPyuEWe/ZMpfbNWlka5mV7DyDvGtst2VV5KusufNALKc3YC3VeVVp7v6zKBcyeGNr0TuriyUHqG5fLpNwRtfidxdWSY93/7sG1OQNgZvtu2Yb3Xp9aTbCLylp7WZ+99qR2XZUcvzrS69mnS7VuAtU+aePMTK26hSliYm9zz7ddJNhA54y/KtLm0m3dTsVoQ3FbppeONfUuyrLIL3vDxeLbxV9rzD8Utl7kOygHcLpQnvDhxpoXcNWqCU4I2jsp2V1p43AdLV7nm3UMorb8C7q3LFKthauqNpOe9wzuv/YDjg3ULpgHdzGgq/ZuDbaKuvuD22DXHOu6tSky7Ybk5D4Re80kccRek6comjskaVihQgcH46XYK5bg3eOdEceD3JBLyNKp3wjobmei28mQgr8C5einY5m8EbHw/vr3TM6QztjPDKoK6zDEVGg7K3CNVi5a0qbSldMqUqvB4AWZtJWbB7GIg/+iqzlZ7kfEob3t//u2vxzY7qs7uHlxrYN0Clh0DeZh28SOj3ssNRWcC7r9IvZZggeA2EFHjLTswovH4vAW9VacPpkh3DrAQ3X2DrKWgLYorG4NUT5srymLws4L28kkjJzgAUd4xPuOddKgW05D2vUica3mj72FWDZq/4AW+jSiyl92S0HFxpK69nXVxi+rasoFXOFl0Omr/XDnjbUuKlDBbr8NKrGV50aLsBvNbGI+Aty7e6dD8lpIFhmeRJgndp5UDDhpeX5cNr7HkD3saCroCXLaoO+jq056UfcWWlK79QUCF6gZQfVMy75WxxfEjRjLLDn/LKK60kkoPihTd5buZIlySEL8uPiL3nFKKSl0nwnj8i9n8vMjtqeb7VpbsozxNIlksMsyZKBQX7X5uRRLrCwoulrcL78+fD46d/f4xfzKmlpBM4YHrl+fXBy8/NxPCZHb0eeA8L7/GfscVvlVVTkk1qP/TbwWu1hlV5HUXOVu15y9jNgff3r78MeCsqyY5hgDsH4euw804gI6i58GbD6wyaVhYuvG54//jpy18/+etx8xDwVldO8M7P8e53KU8H9VExub9ReI+/2/D58LP7jwEFvCuUEF68/pI2yaA+LGbvRropP7XgteLGUVmLSrQK7gSvnW7S0aoxSm1nMmIGvHspXcvKOH9oS2xqrw9evTcbwXv6gWn/jzek8y2ym4LXOTP8Ts3PkXvPy5SsRU14VffbwPt4PGc4Hjic7Ombh4eXw/Dh+4dn7+hDwOtVZs/MorJIqpIujUivK8FrjlHGUdnxYTwq+/DD6+HpX15/fPVyePvVgB8CXrdSmxj75knYAOcEtfPxVrIMVt+w7Qbv+yOjv7z88OOb4enbN/gh4PUq2bx04POIxD2MB17flsHIx6jcEl6zP1vAOxxPeZdtw3n1ffruHX84VH1xMHtHHCb8+bypoJtN12mVlv9VAlLpS2GDuENhGOnnnrrppxs+vnoxvH92whU/jAL7xZb10txG2dzKi9aUDnyItsBrvJOm97yJVomEUpU0ibUrb5FSKhPgpfbh+xeH2zZl5Q14PUo4ZxjXBLzOoPkOGJ56JXOv9TSdw1D0jQgtpgPep29eHgmOPe8aJV54O/xt8/XwFjBBDtlMvQ9eRy+wMidpF7zs557O7J62DqdjBvgQ8BYohTkezGm0KrdJV8NuLsXVG8Gb9ZItW3nfPhztZZzzepUd/oyM27JhcAU153ibT2pJiOlCi7wKXrJ/ykiXl6W3DWnLjlqeb3XpaqV3EwubJLfLVeAFjim7YD+eEdS551VeMimlUCbBG38NaIXyKuFdYvUr4M0Nuvmed4i/BrROeTXwcsdjwVKuBM4NCjuatdwmYkrwxl8DWqVM7nlhu0TQbjwSTgbNN+HIdSoRA3q36KJy0g55yy0w/8ob8O6qtDaRiamuAm8qlVXwFpr/4+H4a0AbKxP7vIvAK6RiRKsAb9bm13nOO+/Z4oZtKyXaRQoTJUmnHcNG8DJHLiXiqxTeXlamBgVbHJVdSlkA77lhclKXu0S7HY/r6Si8pyvf80pB0U1twHuRoHDQa8CbtMHZeA28zHPOZ4mycn53V5Lj5oY3fu7JaWjUraN7NFGgXJeWwOvcstrpMlUxvIJYhnezPe/R4ueenOaBtwPGig2pi10Er8m7ugiaVh3ezT9hi5978louvMvii6du5TcFl4V35UdWgkkuh2SLqYK+IewCb/zck8/gG58FL4RVWIrRv47J4liA16m3Phjx3SUuzQ165XOKevDGzz1lmz4P8ySxJwK8nelKTRfB69WbZ8sZ53PJ5ia8pGFeuhK88XNP2QYmAk8B4BRCC1g+BfXBK1QMoOLC8GpCAV6xpR03jsq2V8KJ6/Gz5RLPL9Kcn8KfONXnUKrhH1ntDS/pjudbEXLLgHfnoHy5dMBLqnr45m99MEFn93g19Hjj3fe6HttWe16UnSE9VQ2gYQV44+PhHBsHXOOzp3MK68AkInhTwdDlQN+33anbn6mkpAp7uvJcN9CXszuse+Udf+7J/d2yVE8L7Srh5QuXNqfZ8ErbaQCvKpc50TuK+iI1kL+Va6fvgNe0jKOy40MclTlMhhcdWKlTJcKbikblaXiFYhvPuVZLqOQr5QHvDlJLOUOCishd0vkpgVmdrHPxQHjX4yv0CrWaChWJmirwoj2vY1/NYwplArzkVyID3tEolksZVOrw6tOF69WWdMHkMNsqXqTCqylPJu55XbbtvIjwDr8es47f5yXmg5ceWGXAayPDmXOufzKf8OMNOYqx5y21PeDNtB3zrS7NgxdeaJ/4l8ErNqd86z7TVA9au/RLIuAty7e61Lfnld517VN/ZY0bpQxeB+xWUMeaTJVwueXnJabUbzvAG7/bkDCw8q2AF+4CyFKdom/B3k7QMKI0NgvMWcvwxu82aAYX3AS80rZBgVdZlF23ROXwkgaGoia8vl4qMSV443cbFBtnEZAIx35gxPaAXLKysjZCLCvNxLYh+9jtQvB6X6M5K2/Ay21ZPfkq2p3PMPFbLzLqaJHlzCD3UdxRuQ9qW3TdMrzxuw1nQ+MKMMQr6Vyuwksi8LJsdvPhFV4/+VEnaxle/Pu8dwsvHlg4310n/C5/z35ETqFXKMpONxdevS8l1vKeN9uyo5bnW11qwgvaSfAqa7VA7+p0Jx/l8Fr7o4S3lk8bAt6TEezInE5UpvYHriVO/cCAeyS5bQ+vI+G24X3suuePd//PgLRphEuuSa/y/qysvGlqlha58ArvCe3Ba8Z1w/vzZ/95/tfv9w2vcKwwl4LHZQuMzhDUhVcoKobXsaprfpqD1w6ccc57POqNr0QS+hZW4ZLbg4u5ukcrMo6wEl74CnGApjkyzwQT8pLRPXttEN5btQW/+WouBZWn4qmV8LctO8GrEs6TEGipusr2vKVJ0eRMO/aHNssCwovH47bhLr/PS177aPGcn3XczjGVWh4jvQuWFyGYQI9W4lSveLNqoytGGwvZR+jGLXE6pgjv+fu8bnZvB14+7oBA9IwweorJ2c4JkiiZy3vMcPpT4IrwiuGL4fXFhGUivJmWHbU837pStKTRY4Vl6V2awiLwO/nmrEB/vdIclTBfEF5WI7SsBa/cTbWUBQ14t5PClRWsnjK8C9lzTBlePj/QL2gOGxIHMqMJ5kGBxEg1eMGNbSqon10fvOzPt94NvBhWYrABVc0xJWIBPsQN9ktIAM9hOxY7sZQpeJ3TLbYEvEZlfMJWSXoebXyKANll24ZFtMQU10LwgqA3dMCvRsJU4aCBN9Hp2uKozGp6IXjv9CuRSXh74elC5Ckmg5DBq78oLHpJdLWjafA0JRmGImnaD1d2nfEDV4mYErz3+mX003APlDF4w47ZXeA9K3vAIfJJvMkvCh1e5MrRUR/BJfCONb7RldxI3ypLdlxW9sq2IeNrDbcELyCUjijCCw34UiLAixTkVQADDLRAz256ijvKcvX0NRlGrvK9NmSrD+993rDNo0jgxbzitRNVDNALfqOH09MJJxeDcjfIEyTPlu+jCTd4yd6qVZaoSDkZ+/rc5vBmW3ZUn+0Ib2ebVo9ANuBdthk4Jko3NYU+eJ0suBqJIl3p8Mm/xNFtuecdv9hwX/CmaNXoRu/2aXjn5+BhTjc99RhQ2FE5ULLHnqFhGSTgtZ3iMdJfzYqSlt01vGTKFxxTS7EI71SCKOthgPmpsJPIwWlpCfa8ixePmxJ2Z6UsdrxwCLzeM+neu214nD3f/J4XA6WjmYR38WZvF0FQ0Bi4WtFRmFCq130GvB18jbFtC23qgVdZereA946OyghRDE2huJevsDcrkgpv2VpI4U3unLV1z2xO+qCKnfD2vZTBNvBmm5Vu+/CqO1rGKqQVKxdveiBwAR5orZmt1VHNCy2tCS/rW0dWefjZHPNhZhTwUpMJtehFFYuPU0ydhwQqwFUiVyYZelpEnLDQG8A7JLSEchBL/AjdZQEvMwPbea7Uih4f9BgxU6gIp7W2j4WjRCiB0ix2xT1vanRteDNiAwt4F7O4dBndt01FPMj4zAmv2ozD20kdxT5kTE8lxR9CBryl+W4kJfyBQebPFXgBxj30xIKQp3q6MmnQHXY9c9SBnaUErxEz087unEsDyWwKqqdkjVHAO5uIY9ZC7IU3dYsD07XhFToAaZi0PAXVgysSD7v2izlCxTL8mreAdzaZR4NeduzAdw0avHw9VNP1wzs15fCyZqY+00R4u+UFzAPgQmVerB4YyvuEV4dURpWUQCfjE23POzW3SSmAd/SYgtcegvzld37FUE/yrSItDHhXSwvY5ffoDGIpJtEk07XbCrXgNZMHIn0p5ghT8C4DlgVv7Hk9Up1M9IVIEWd+Y2TB66Q389Nso8gPo4BWWRJoDEGPAcLJ9MqGKOAle136z4DMmzvky4JX3Tt085t/2hzwul4qZ2M3/j6hnARjV/Za8GKB6bKyu4UXgSUBCpDT4WWFUijCO2g2FqEPeXtyMRe54XUhQm/8nWBpzaZyM75Z40iXlt0hvCliCb35lTxYB+EFbcan+CN/fIFba32h0XQWpio6RKYIt1N390sGqlauSgcPeE82z65OJUTArFRqpYDkEVSBuy6khllqaxP9G9ZaDriBNESWiAWVHaNHoUpdYM2M9Zh3Ay+EJMek/QEARBHR0HADgjDp0ItIh1ebXv4H2HFbPRn2lR7Rv2iZEwPSkZVq7xIx7wVem1DDbHg1US9sbJdnZKJ4MCQj8WhHoQR4pKGn0rkk/WVKc3QzJMC/BW86JisLeG0D65JQuTTBmp5iCLJgyXJ/uK3gHXbUmneSBXzlrIM3RwPaygfaHmcBb9rO31UlpKiNRXhBQJaXPEkdeo3AjEm9CK9lHF6Ro7rwgk4pHyU6fN0tvF5ypyElJBotpToUMydd3FySk8iso9yAD5Ik4kjI00g+f+UFyiWoU46VqOwO4PWD6wO0h4M/F2INpDc9TwMQ4C0qsaUNQVCxjq5vS5IJjiy87C82Wp4C3jxpEbMIJKGQV56f8fdp4shIF7cF1qFdNH5wfRpDS06lA7z2SKV0zeiCJxjUoyUxadmtw5sHK7PJB2YLVC6lRMThZVM2Xw+9IEc9WGLCyz7xz8m4uyUIfMFo0uRrTQ8tJ0GUTg+zkpbdOLweQE1jbsAlJo5qZBVIcqmR4cUyGGeppT6R0oA3TWCn1+XBy/a86oBYVgzv07dvhuHD9w/P3tGHduEFc7vO+p5RiFfBqRg36XtWROcKgzR7JNUMXmRSmbW0LRmBlVceQ71Kur/02f7wvn/4y5vh46uXw9uvyEO78HrR9Bi9T+fwzjHhmtcz4MhULT7pl2RQNfJFO+ovpF6HVFO9au2UgkGiN5QJJSlLw/vLn//9sPJ++PHNcQXGD83CW8qpxxb/OMxA4/f6fHSQbaURqVuej5FP/4l7Xsllh15DHngT95emadLBaGalsnLb8PTdu+HDD6/xw6Hui4NZ2ovYZqCKNoWgYabiKYE5Fzk/mKnVC6oR08GxuEfUElZ345/vdI2r1/Q+SU3zRdSHVXmE9/2zE674Yaw3X4SXWHnXA2qZFqZHK656z4QLO7EBaMieJ/IxRgSV0NNELQXBEt/ZMxzKn3x6sqiy8t4hvB1/2z8Xz9U2vEuz6SKrp1I+0zaCxUIiVGLDqzoiUioBA+FSwpbSMzOmG94r2vMWQ6laL132EJkO7CLGHGAyQnrgQvkGp9E/HJn8qQGRAubQhJeXKFIqGYWaWv7YnuYnRV8F78dXL87HDPChQXj9RK42FA6ccEgJ0QJcyc6eBD9WdzG8i9hyQ+8vuVs1KJ0YEDWRuPixPb013R7eazjnLaUwZYrjHrGrwcumAlxPguWrbKjY6ug0RizBUnj5u4Manp8ZpNdcQQnTRQGl6Lf+CVsCwXxLeOwxZtPfoxKTIkWoks5fJ2i4z8kTSqRzwtvJJ3tSjoKJ8JI3DoeSjbEVPeAVCTTqEkrMGf1jasg5yJFmjKIAp6xzREaY62aQ7TufngqFa3uQFXg97tieV1p4Hcqx7GbgNUGzECwWgqjndFHd+QmZGPh8vEZbP7ERK5supIb+sSIFGUpxz2u5nw1+5wQ2TnfkpuEtR9DXTBCCsMkMYHOctbBLmPMi3aPPqbe8wbJqbaUxMazHuE76Pq8ugHbD8HoAFJlyNpMi4MAudik1UhO5KY0oussaL+Ed3OH0VKlPjN4d3gX6IrbtZuE1uVltJEZmNDFPVKDMHFF30sSzCJIXpUa68Xc47fiel/pZekl74LwhTaY7ld0AvHk0uUy7C/GJ4QP1IHIyfiWS90rtqNpGUMhVA9t4pjWL1IpHh5L6hWNsxknFDHhFkxbFTHHPJmd2yd6ih8Rp1exuCcHa6EMjV6HDkSyn1sRMLnmqy16FBU0GVGJeO7xuojJNGn1PYyrgy5vgU4aXdlK8L0+MkeEVHY5Y0SVpMqYwGouyw/ebruA3CK8J4BpjG1SrqQIvK+kgu0BJ4e3IXIrefWPEBIgc1IP0aNOgsujschpDI100et6YqCzgFQ04N8JIJHQC7izjecbOD3jPSyXovThvjDpGJowrpOeyQckTZmsqUXZ3Cm+KwHID7oUw0xKqZkLLWM50czjXzU2EjuaPEQiBi+hraKlMjTkIqiXFe5RI1xP21uB1o+gxNNPScgqbggzkVHAZzxqeF5EEZCh4iWeMQJfE8PxOzUUvhFcQkCEApfL30Vx2U/CqaBVaLz3YjcHcTM/mBkuK4zOUOegA0MDm3knNhpcs76iucwbG8Gr0sneVjn28sbKj1wqvDVe55TsG6dD5RKVKD/zwdpzAvD0vdioUdnJgZuhDXn3bK4wF/gb8ncKbjZjXxr/dPl86FEtCPUYSr0ByB3qqgc567TZueT7gRpYtotOjNLpCojSNOagl4OPD4GUNEnYz8KaJWmG98nwaaVaQzEe9A5tL6T9gn+tAG+hk0Q69TBAvoQv7oLSRrkmEQRfQ/uFlnWIv9060W4E3wUpNS9yZKSI+xdgBXT8lF3nwCkUMXqmNIiFNzY+HwTPun8ErXkl2E/CmSKljeth0Sr0P3uVKckiczI2d8HZ8V5IBb0ea2m+JlkO8Zncz4B0NYSmXsiuDNwFKJaO3IKgqDe/UUOrG3FPQSHTCxmEZI14/pwkvsdgPL8sgB15dKQyvkUrAm2latPP+jbwPzzWwFriR9wVLT6dLHLdPLGfG1grfobF3cXHPK7nhCWTAC3tFlTBHs5NazKuCN8Ha5ibcry3Fwh0QPETQXJKOgJ6iVh2ArTOmNXmcKMZLKTU/hrQz9keLiwE2Fn1rdu3wJlDb3sTbs54tJ+DsKe0SOFgKyKl/xgGoD95e8JkxLzQXQaolPJZP1QNrjGRGp68bXj9zlY3ewHTCuz1qj8WLZvFWB17CwpxABxdBn2FPGfDCG7JegLcj7Kq9vmp4y2GrZ0tianpL6nxdAUoMvzWNnXOlkqUgYM68kHTYm7+xmOIyCi92rPc64K1gPXlEFTB3/TnRk2MtamMb4cJhIJR912VGld78YdZWVhR75uP24F2LWNrWhtB2x8yWyukZ0SeIRLWJWIp41JgfAY1PcKC5iQZvsgNLxRID3pUanblWeMuZ2st4klqf5sqlYXfc8zrlIrwF9PZpeHkk9c2/h923tzx0u8AKNAt4/YY2iKySZDWmO110fBrmoqUJlA+0k/qgoErQ2hSh9mR0tTa8p+S2i+959f7T8KyTuEDwcKXwivxUNjMoTWtKFyhJT7CML9NgKZO+EdBNNPExmjxLUbGctE7ueZHnbkm7F6dUS11M1oJXG8LrhNfC6DLWC3nROzfcE1LEHOL3GDoOwDEbo6lUrmXBQePkvE/Bu6gAAAzqSURBVHSQXeRJ/5BCu2SlcBjhIx3l2a4R3iyqVtk0hGp1hwmSWyFvwn0JkEIfuKqX1MQHaS/XMpddEl7qByXYwT2vZVo68oemdFslqa8QXh2mzQ0PnVTb88ZWgj2Yw/kS+sE+e7kKZ8XGiESQjHo34WVhpLjwGCgZU1bihmQGbmLPa5BRwYQTA/gcV5PhTzkEEwU02AG7kAJLY6QOYEe5nlx06p4XZI6doKDEneJGKJc/8QfjpLq8Mnh1KnYyET5YoCTZz5OH2zNP2AW6kks7NrGO7zbQbE2l1EdmCrzwQpGL8KLuaXGrwVvFJCwq2SBfoCRYRkuSoGogLcBzsRD2VOw3K7TGSxpBHM1ywML7pki58pk2JJleilSjqS9R7SWTtu5iNt+Z9Wwdog3xO/vyV1FAA7YVofXnMerwoiUuvOJbKvsUko6humhbX2MXBXJQGs42ac+L4vqVfbPbBkrUfqZ+oYJlNTdQ87V7Yo4Rd9FT1E5X/CN02kIM2LN/vaF0WTRjx6FJuuWcQm1nyK8JXn3G65uaB7+f64XjSalFKox66g/hExssa7bsuN8RXgu+yd0AOpZn1wKvMt07Gbs7V9slUzarx3JpjGCtHG/yyW8CdRaJXlsESWqS5X+PfQpE4LWCkAZXAq9FzG6WTAUliyEhTZgjvNngYzQ3gkp5mAh+rJ0m7tU9rzwhgtRltKd4/NTcqFyJ2Rq8Bi67WjIb3IDdHIE2uCGck7lE+zcj/fLqkEeKz/9yCRJaNS/cQz687AZY8ayHvgJ4DVqqmhBYzAcMaUcWXNkv6dhyheZGu0sEbY2hYqWSm6x5QRruYlgaad5lLRkaPTkubx/eFAu7Gk/ITFMpxZrlAj1a8CbHipeCZ4qTLv3H1JSrOV2apRwJl9KhMTKk8ubhFaf/YgYzIps2ez8x/W9ygt4ze8xxN93HSKNA5k8ZLV5IninSxDzQQKBegjfhkuSMBsCz724dXgOIi5iQkydH2h+88SP70PGZvOeFLYzxYqXsmVOKq42CcngH8MpWYqlKoawZeB1c7GHg81Gekpnk/C8pSG+y4e1dC2gH/WRalxDTGtJW2vP6cgHfipBdJ5WorBF4LSp2sCU+/U5FdmasOwRe2Gx6RxY/YQMt1BEbD06RIme4c5ovl+KUdqn9K1bCDnpSaBfeXEDWmBitF58mXcn+e4pp19H1mPTcfeePDsC6bvyVXfJO7LMsAW6a+udvihB2NDvdZuH147KByeEIvc7NreiTuhL6Sq9Lt1Z9JrywiflNYNtAusgJzwGMFa51pavEXMoagNcByoa2Xzi9s/TaCa/gnsGrxWWxy/+RAH7zB5sW3muYLBoVfYCSMUHZxeHdGpkV5lpv/d7U/rJr4Tva6aGaRrcj7CYOGZR5MWTMOLzjI3MCk8Xjgpo6gjcJr5uFHYzuKFHd2MLIGNUpPXWNkdaSpTKvvDg5c6xBTHBl6rR0Sb+1fOnYqO08MVHZheFVSdjZxolMtzAbOWbIM0aWA6bsUEg9xljLlUZIqhmvB9YjUT4VwjbW0Jj0tgevwUpVEw8XUvlYWS8TSRtTlWeMhIaamsI7vXcYgz62WpRKSDkXcA2rJDWR8oFM1yzWHLwmKzsYyYElJJ3M0rxxyTbw6ntHSdnhjYRnC3BugZxqEuqMdjoZJdkHbYhxq8bglXDa1VgWTngNH8YcWfQm7/xVp/wjKz+85utJcwavHVpyqf6TkeShW1vwJtmqbUIaFr1S4rSAXsjTlBojoZHmUhxdNYzQItXS2POmpdysf+8kJ2goLwZvFmZVTMpD3TgoqaPLgdQqfU6OEWrVJSBTP6m1rfN/MKJ5VztjmQ4vdsadNwRvAWwVTMhDptkY7eVqIP3qKUXcFR6jjlOhS6zRdVmpEvTNDS8cLbmSemMNm4E3B7CqlswEz1UP7o5Arazi74egjo/R0ho2Ix5co+u0HeFlgynXZ3f0EvCmiKlt/gzmbKe3fHhhqtCMcE9sjEh2VuPknFq2uCv9hA0OjCPMLLFfi0Ud3R9eLzgVLZUEAA+XkNt0zR/uJ1m8lxZwjKgaRQJDZ4+u0EAYfEWZQW+qgnjDw5TptZfSHcv2htfGZieTsjDLCLyoH7xbUkdlHOcxomqhdScr6diakwFaFMNr3oPL3uZrFsQdtQF4BUAaMZCdsPDiM4apCo899qUcZMjzRb9es0zrUoJ8G6OrTsTcM6IEkcUQ3LLhVZW+eFrMfeF1o3QBG/Obzwz44CoKVs2uu9QdzgBYheXQH3Y+tfTDC1OBSpAj6YBq8naZ9N2jvCZ4S5jawfgNdIcIRLPT8dOGsf0wl5Lugmt1jLASOsDeaJV/z0sj8K+GFcLLRs3wQP/UvCucEHMs2w/eQrRqG90a4OxZQ1iGq9E/wAR618wIUpoPajBV+U8baITt4VWukVJoLGXKn14W3iKy9jM67B1hswPvuYtG9pNtEN4OTZ3mcKrKOCojvsiiQp/a6UqpaNdI6QgAmoCnl4S3GKpqhnZ5C7v4u6pYQcZVamfPizFGHeQHzKMm6YQ9b25MR5iUVJBb43CV8K4EbQNDhwEdPxGYnhvwLk3BOPNThgKj9wVFyvKYfSa/6X8coyvTgcAIgKcXg3cddpuYwhgoHB8dbxR0mGd1aurU+ovDmxe14mfSHToRaWDPuxY8l4nbz/lJj08yu3lM5rJpvwfeKITzBSiVD4dwC3F2eD05TjTHU1fm2VbwdnD/lKUUjI6wrdwB3jwItzR8+9x51l8ML1hbJSG+HIQyZXo8M+Oz2vCKxezoHh1UWP13wpuIOZcVwvvh+4dn7zzwroEv39Rw45DCEilHCi+9L+Odo8MrNWPj4ZkZn1Xe88q9MeE1B6AJeD++ejm8/coBbz5/WZbnPwlvDxGUemIN/OBqldrzZlplpdydevDq+4YN4f3w45vh6ds3F4RXfkcXGy2X2skAKNE7Q0XS8HLXLrtieNme1xwCT1BZviG8T9+9Gz788Prw7IuDGQ3XMirb5HoKgB/Oz7v5zylCWSf/kUWlONuW7G7ECrqz/whkxnv/bIL3aPbLKNemV9/0H355sxdmR3cA/LUryTRbt5TNHciXlgfdW9lMuoXwLitvAl6FXtfd6TUObxG7zdDQcNBL7HnvfHgbDnoD6RbC+/HVC99pw50Pb8NBbyDdQnj957z3PbwNB72BdEvhRbZjvtWlkW6bQQPeRpWRbpky4G1AGemWKQPeBpSRbpky4G1AGemWKQPeBpSRbpky4G1AGemWKQPeBpSRbpky4G1AGemWKQPeBpSRbpky4G1AGemWKTeB1zTrq+o3FfRuOtrc6Aa8VxnzfoIGvDcX836CBrw3F/N+gl4G3rCwyhbwhl2tBbxhV2sBb9jVWsAbdrVWCV707zRr2+nf4o8R8UO1iN88PLzcOebw/uHhL3t3dDj/PN2+Qd8+nHqajlkHXvx7fJXt/bGnY0T8UMuOP7vy9C+vd415eomyaDsM9NvDy3TfoL+8PP7fEbMOvPi3SeraL3/+90OkMSJ+qBXy/XEUf3m5a8yTsWj1gz7967+93Hd0P/7t9ItMjph14MW/ClXbjp0aI+KHmkFZsD36fFh7dg768W//cVjzdg162CAcN2WOmHXgxb/HV9uO8I4R8UPFmMefDto75tM3f369d9C3L45v2LsGPWzIjquvI2asvEX24fsXw/6r/f7L/cH/x71X3pP98vJiK++ee94zvPtuBZ++Od5T7L/n3X2jfbzxf3h4sX9PXR2tddrwYr/ThlOnxoj4oVrAb8b74R1jTm/d+wYdznf9uwY9dvTj/3njiBnnvAV2Xo9e7nzkeoh62PPexzmvr6PxCVvY1VrAG3a1FvCGXa0FvGFXawFv2NVawBt2tRbwhl2tBbxb22P3yV+Pj7/901/F+l8//bvb1///f9vkdKMW8G5sv3/93G6QAa/Gf9jZAt6NLQlcwLuZBbzb2m9/6rrPf/vn/9l9+n8P5P3xU9cdWP3tn/73ofj5cVnuPvlfAN5j/efL4wnWw//G9kdfX16uK+1bwLuxHQH87U9nEv/46fD4+Nk/fvvTZ/8YHj/9++9ff3ngd4H3WH/cZhwfj//N8I7tY+W1LeDd2M7wPj89Oe0QDnSi68cF3gnOU/mvI6wneJ+PK3DAa1nAu7Gd4B0hfDz/hfsv5+vDgjr89s8zvNP299dT+QgrfQxTLeDd2BC8RyiHYQh461jAu7FBeH89n/gu1+P2ALY92qkd3DYEvC4LeDc2CO8fPx2W1AOZ0/XvX3/Obtjgf8cbuj9+gu0TZ8Z3bgHvxgbhPR2BfQKuE0dlp4O2//HfZniHn0+lYYoFvGFXawFv2NVawLu/HTcHR/skbsfWWcAbdrUW8IZdrQW8YVdrAW/Y1VrAG3a1FvCGXa0FvGFXa/8Fi+DABcLgN/kAAAAASUVORK5CYII=)
Testati 3 valori pentru alpha in graficul de mai sus.
qplot(x=friend_count, y=friendships_initiated, data=pf, alpha=1/20)
![](data:image/png;base64,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)
ggplot(aes(x=friend_count, y=friendships_initiated), data=pf)+
geom_point(alpha=1/30)
![](data:image/png;base64,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)
Colorati punctele din nor intr-o culoare la alegere.
ggplot(aes(x=friend_count, y=friendships_initiated), data=pf)+
geom_point(alpha=1/30, color="lightcoral")
![](data:image/png;base64,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)
Colorati punctele din nor in functie de sex.
ggplot(aes(x=friend_count, y=friendships_initiated), data=subset(pf, !is.na(pf$gender)))+
geom_point(alpha=1/5, aes(color=gender))
![](data:image/png;base64,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)
Reprezentati printr-un nor de puncte variabilele dob_year (orizontal) si mobile_likes (vertical).
ggplot(aes(x=dob_year, y=mobile_likes), data=pf)+
geom_point()
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAAAvVBMVEUAAAAAADoAAGYAOpAAZrYzMzM6AAA6ADo6AGY6kNtNTU1NTW5NTY5NbqtNjshmAABmAGZmkJBmtv9uTU1uTW5uTY5ubqtuq8huq+SOTU2OTW6OTY6OyP+QOgCQOmaQkDqQkGaQkNuQtpCQ27aQ2/+rbk2rbm6rbo6ryKur5P+2ZgC2/9u2///Ijk3I///bkDrb/7bb///kq27k///r6+v/tmb/yI7/25D/29v/5Kv//7b//8j//9v//+T///+IEcOyAAAACXBIWXMAAA7DAAAOwwHHb6hkAAAdEklEQVR4nO2dDX/btnaH1TbJGqVOtrTJ8qJsd1vd1lnsrLbjTHHM7/+xLkm9ATjAwYsAAof6n9+9pgOCDw7AhxBE0eqiQyCExqJ2AghEakBehNiAvAixAXkRYgPyIsQG5EWIjRzy3jLB7gyPTJjG0gEmDQN5gRGLgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFRiwG8gIjFgN5gRGLgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFZgLMYrHIgTH3+eVd/7pcrrruerlc/nLV3b9dnt10xgbyAsNhFotke4+T9/7dRbf+7aK7XA3/ejhfddfPjQ3kBYbFVJP3bpDzcvXwx8Wo8vurbv3qSt9AXmBYTDV5t7Nvv0AYVg/r1zfDv/RNX+NxHywCccrRu1uSzu18OH8zrhz62ffubNRV32yrpV5Ama7DChxgqmJC5L1/+2b72+XKNfNCXmAmxwTIu/51tfv1coU1LzDNYPzybt0dVggPf14NK4jxNoO6gbzA1MD45R3u7w5v1frtswvzBi/u8wJTDxOwbAiOyl2pwAGmKgbyAiMWA3mBEYuBvMCIxUBeYMRiIC8wYjGQFxixGMgLjFgM5AVGLAbyAiMWA3mBEYuBvMCIxUBeYMRiIC8wYjGQFxixGMgLjFgM5AVGLAbyAiMWA3mBEYuBvMCIxUBeYMRiIC8wYjGQFxixGMgLjFgM5AVGLAbyAiMWA3mBEYuBvMCIxeSUF4GoEph5gRGHgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFRiwG8gIjFgN5gRGLgbyTYPj/bnRbgyMHA3mnwHj+q+dtDY4cDOSdAgN5i2Ag7xQYyFsEA3knwWDNWwIDeYERi4G8wIjFQF5gxGIgLzBiMZAXGLEYyAuMWAzkBUYsBvICIxYDeYERi4G8wIjFQF5gxGIgLzBiMZAXGLEYyAuMWAzkBUYsBvICIxYTIO/61+Vy1XX3b5dnN44N5AWmAsYv7/27i27928XD+aq7ft5ZN5AXmBoYv7x3g5yXq/v3V9361ZV1A3mBqYEJWDZsZt/16xvnpq/xuA8WgUCUClbeh/M33d3Z6Kl1s61W+TqswAGmKiZE3vu3b/q3bfzMC3mBmRwTIO/619VgMNa8wDSG8cu7cXdcOoz3FywbyAtMDYxf3uvlECvc5wWmNUzAsiE4KnelAgeYqhjIC4xYDOQFRiwG8gIjFgN5gRGLgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFRiwG8gIjFgN5gRGLgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFRiwG8gIjFgN5gRGLgbzAiMVAXmDEYiAvMGIxkBcYsRjIC4xYDOQFRiwG8gIjFgN5gRGLySkvAlElMPMCIw4DeYERi4G8wIjFQF5gxGIgLzBiMZAXGLEYyAuMWAzkBaYUZrFY5MAw+yAvMGUwi0UOeyFvKQ4wDAbylsE0ls48MZC3DKaxdGaKwZq3CKaxdIBJw0BeYMRiIC8wYjGQFxixGMgLjFgM5AVGLAbyAiMWA3mBEYuBvMCIxUBeYMRiIC8wYjGQFxixGMgLjFgM5AVGLAbyAiMWY5X324uX314sfvwEeYFpGWOV9+Oj7vOPnz4/grzAtIyxydtPvN8/POq+xE69lbtSgQNMVYxD3m8vniryrl9ddd31crn85aq7f7s8u+mMDeQFpgLGJu/3D0+//PD7sHjYxN0gbXe5Gn5/OF9118+NDeQFpgbGJm/39cniUffxp783/7p89lc/8z78cTH84/791TAR6xvIC0wNjFVeMwY/+wXCcrnq1q9vuvt3F/qmr/K4Dw6BQBQLr7zr3y6G2ffubNRV32yrVb4OK3CAqYqxy/t5sXj5ebds6A4rg8uVa+aFvMBMjrHK+/Gn/9vcLaPyYs0LTDMYm7zjrbKXxq2yYYXw8OfVw/mbzW0GdQN5gamBCZZ3uM/77MK8wYv7vMDUw1iXDZ+HZcPwOUVcVO5KBQ4wVTFWebsvwxf8xboLeYGZFmOXNy0qd6UCB5iqGMgLjFiMTd5v/zVuvv8HnioDpmWMVd7xrdrH6KfRK3elAueEMd5vjq73YM7Tz4sffo9TF/KeEsb/nf3V1rzfXixexqoLeU8J07C8vb2xfwMEeU8K06a8/aS7C6x5gXFGs2vexKjclQocYKpiIC8wYjFE3s13NmDZIBGT5T981lqnuH2YeWeDyfOfnGysU5C3FKctDOTF3QaxGMiLmVcuBmteNb79a8zkW7krFTjAVMVAXmDEYiAvMGIxkBeYophj1+GQtxQHGB/m6DsgkLcUBxgfBvJmxzSWzowxkDc7prF0pGOsflZf88ZFag6ZulKBA8wQ9tm12t0G41siIS8wTLQlr/ktkZAXGCaakpd80R4CwUXvbt32ld9T5U29gDJdhxU4wFTF2OTFt0QCIwJjlRffEgmMBIxd3rSo3JUKnDyYPI/hNtapIzDaeEDeUpwsmEx/ANFWp47A6OMRJS/+DGhqDOQ9xDASR8iLmXdqDOTdx37ehLzlOVjz5sUcKy++dASYahjMvBNyJGGC5/faa17cbZiGIwgTvrKW0ym7vOOHFNFfL125KxU4gjDtysvnFf/x8LDaxcfDs8JMJO+hkVCMJ7GEp8rG6Rdv2OaEmWTNq5gIeQthGktnPpj68m603SoMeYEJjwR5c6558fEwMEdE/JrXE7hVVooDTFUM5AVGLMYu7+dZPYxuWVTJOUGnhaGn6sTv89rezs7gPM8Ms/tg2DxVJ36rDPJWwsQ8Lbc5SZDXDMhbBxP1nHI2eWe2bMCatw4mQd4ca96ZvWErxwGGwcT9hYirLm6VleIAw2CovHZBMz9VBnmByYCxuGvxNPezDV+f4ONhYLJjWHlzLRvivx8S8gLjx3DyOuffxFtlkBeYvBhmzZtN3u8fDHnXr6667v7t8uzGsYG8wByHySav+fHE3fKXq+7hfNVdP7dvIC8wx2Ky3SrT37BdPvurn3nv318NM7B1A3lngdn600g2ARj7ssH4fGLwc/36prt/d2Hd9FUe99EVjkXlL+CeeYwTVu0kkoJ9wzbIe3c2emrdbKsVvg7jPrHhQ87sMh1mN75tZBOCsclrfcPmmXkhr3jMPOTtvv78ichbf80LeQtjZrHmJV+0N/j5cP5mc3/BsplG3mFw8YYNGGWfbeY1A/d5gUnFHPtqiQdzSnGA8WGOXevxD+1AXmC2UWLNe6S8/OGQVwzGa0GLdxs8z4y5EjFzcjQBeYVg/HNYi/J6Hrvh8jB/tzQBeYVgtPNoPaVNyquho/LY/YNpAvIKwfgnpBbXvHtyory421CMU2vNW0ZePyZm6aphUte8kLccpxYmQN70N/nubKIm0FY+pIC8hTDJL9Tcmjf+LZIVY28V8pbpSgVOi2+RNtC68g7V4r7uKSGb9uU1BgDyMlFc3lAdx8Yjv3QkIZvW5TUHAPIykf6xgAVzTEDeMeYtb5mbU8cqM4m8ZJerLuQl0Yi8M8Vs5OWuIiK203TB8s57zXskxjzdzXRqK6+vBlsQkk3r8pbBNJZOGoac72Y6xcprv5MHeSfnQF57bG6VuXZZ30/OcM1bCNNYOrOTl8HE3oOAvKU4p7bmdXjHfd5nqRv0rb0hd2IgLzDBGMesaS9m17zhUMhbinNimGB5mTVvLBTyluIkYei5amtwjpfXf6ssHAp5S3FSMJaT1dbgmBgl3cA1ryqv/+2Z48YD1ryFOdXkjXmLFBsGJvb2wK0mb+rRrmy0aF3e+X3ClkPeuLdIkXG8vMojkacsr9n3GcibY807vbzxAm8ezIG8R2NItLWKSZR3ovu8iRNoF2q9Y83ryEZrAvJKxFiFKphNurw2FI+ezczbwpqXOW0n8/Fwirz2gduSDvtcBUw2+30Z5Z1nbN46NxiTJpatqU3WSu6Ogihmhrz46zBLVJh5uUmn+Wcb4t9nTfNgjjqou4lXLwjJBvL6ol15/ZiEV/vinSKu7krxPG8BTqtr3gBMbnljaGynaGIL9WO1QAzknTMms7xRuBR5LQ1A3lKc5jHHrXm9d7XSszF/pUthN+awD/JOgeFPeluDs8eEL0zDsrEfrmoLeSfkhGI8Z72twXHLe+RfUkDepjiQ117Png0nL9a8k3PKy5vw/j5lnWvPxr/mdSl3a+2U032mBuQtxSm55mW8YDFJdxi82RA0/zaLxewPJ9CobCBvsxjOCxYzjbyelSqLsZESsoG8zWJalJfMl5A3Jk5NXs/DrlZMqLuuekGd8rzN8mHIAsQZkLcUpyQm5p19SjZOkhdDriorKHTNC3krcabHNCBv4Lok8k5MyusA5JWFmYu89tVzJAbySsCEvchGZpMw1+n3x3h83Bs2yDs5ZyJM5hfqZIzyCu9PKfib0Zk3fZ4FMeQVgGlMXkdKRgH736SgpPj3p5BXBCZF3tAbZv5szOWpIyVzMo2U11vPlinkFYDhzuBhX6eXptprZENe4R1800f+exsICTPv1JwGMMrpLS8vV0rkDVgbH7R1KYw1bzFOA5hK8lqsMiZT7cNq77y6n6aNWR7yFuOEYAIkKiDvER8Su9e8MUlpT1q4LwDHgz5hz3ZA3sKYkCnwqGzsa96Io8308o6NuijQ29XvGB8KDI8hbyFORnmTX+WjsiGRLK96GHmFP8y8jlYUNY2lAuSdipNP3pBqGbIhkSovUc7yho1pxS8v1rylOfnWvLXkDVjzug6Ll1f7YfusjtiMj4fLcYIxvJk15U3EGDoGyetYFCgdh7wTckIxHjXzrnmPJfkezFF+db3CL4w1b+jbMWJzLnmvl8vlL1fd/dvl2U1nbCAvHwHyZgjtzuqxGFs4ZAvFqPOq6j7LyyPv5Wr4+XC+6q6fGxvI6wleqAyTrpJNu/LSj9zI0RSXRd6HPy6Gzf37q2796krfHClvxGDPUV7fztvQEcojr/1o+0zJ2ecYm9j0ssjbLxCWy1W3fn3T3b+70Df97sd9eCdve4zdSTy20SAd4nrI9X+zL2CElArHjaa9rdA8tBrWUaCMzb+Pydp75Pq3i2H2vTsbddU32yqJF1DMtShj5o2bXbjajjc29nqOF+q4sLelrlQDj6ZPlalr3kN6ni7mu9twuXLNvJBXiciXRu+SIlne6KvII28IQpdXPZArmERerHkDMPnkDV3z5pCXnV0DOMbRLck7rBAe/rx6OH+zuc2gbo6UNyKKyhtlnBsTS4pU3d1iHnlTx9hsS3ue93AN1pl5r5fLZxfmDd453edNkMiqS2wuWeR1ZlNWXgW/l1DPZueuaqx+uFqDpotP2II4OeR1MTwrg9ryaouTiDHmFgW8vGQqJvWcnVL2Qd5dFJSXR2dyN11evVqivOaiQL3rrBSrBabvc5PX6Ezra94keQOfJvBnQyoLkneGM6/Zm+bvNthlSZbXdWDgJWIt8R3Y8ZVdOHMaVd+w+eVVFdZitvLGT5VHppOMYTNldkbN5JZSv820WuepzKZ6OEL9kEIlKQVUXhpzlTducHOkUwTDdeNYeROqHCevglFt1txlZl4mG9u+tuVl17wTycs0kmXmZbth32U/hK55HQeaQhmYoMS8qWofUkTJa38dsGXauLwcJnpmSEqHayX9qTLl3ynXoGGE60MK+4HBc11cXoy8isJ+efXE5ipv1OCGDwl7IJdOBMOYaJJeQAgjLpsAed3He9IZMURNf4EFNFt5Y+I05bWSyWyoh2/mpfnuQKcrb9AZrCBvkTWvZk6gu2blAHkd14VCstSwrnmVWo4r0awdJ6+jX0LkdYxzLIZtIAtHjaOupUOfgzB2RVReqLzEesfYOGZDh7ymfsnykn4543TkLcGpK68/G1rbcgHs/TExDnmJZ5y8ag0ir/3tI3uh6B1uXF6jUKq8Foesy86Fex2RIq+9XWKiQ02XvPacTFe1L5c+FNtNFy4vd8ZUDNeZ8JhYXvaMkfPGXsdk16E4YOZVDHNUc1vk7JfyU+ko/Wb0GctrDSIv35vgqCKvct6ovIe5KWQFdRBAOSTgwRz2ujBr+PNQTVTVHIKVl7TiapbNYIbyhthdUV67q7SGl0cOoceFyuuo4R/JhfJqYKROPx6m8lr7rF4RQu42sKNzwMSNfvZ0TEzIhTIE5+qt8WuANKy8ytGqP/YCR5JKZeNwLT1XN8axCXyJ8dgsWV6CCTuxfk5sWKFBbRkMesaGbIJJJoNMeypJrXc43NEWOTyuwMzJ8kik1Wa1G/axcYY4eb1RRl47NU455XdNvDEbAjpISVukUo6YgwCWtg6HkxoETaZHWmA7RBMv5dmGmclrnp+gI5qTl9bT/m3LhohCiqm89rZYee0m+g1Tu2Gvl/LxMCkQLa95JhqTN3TNy+dk3RcqipqNA6cU7A+3ZOYXykhBb+BE5WVObIK8HC6KE0DN8mdA9p1EXtWfW+VXLhtDU8u9BHtBqGGOA8eClI+H5cnLndkUeUOi1BLc0ZcAec0KxFXCIAWuDykUS5VjtAb0Y+gsr5luZmNX8zRmXt+ZDcRExcTysq8GyhlzkNQaxOZDNceHFJoMpppspw5tqTmRbIrISxq3Zdq4vOGYmAhvkA9e3oDh39fzy8uJYmn8UOKo55fXkZNdOZJkFnl5N05S3pgW2WDXvNQRR6t2lQiJQM3TqzEOO1UZbheGbJYWmb9hM6HEM6U4WV7HMscSE8nLpaANrifC5Q1oMeaQhHTI8KvNEjXZxrXjnFCDr8ugFDu82BXs7zqTfB2G2dHC5HXHpjfsTkeVReLXZge0GHVIQpB+2X891AulukjbX5UapEsHXcwUnCTSF64bpN6RBWHDUnbmHTPhd9qrmPtiHqDlp97YQ6xHB8y8ZNYkq4TDGQvPVykw+dafWk6OxHYpdEbqJo72SIc417yERGrQQxq428CeGj1Zfp+zDfNgXgbmMy1/KPVcHwuoxYYGFlfd3Q/IzOFFVFu6lJ0+7BahrIntq+R5w7ZD15c3ZAVqrWIOmqsNenq5Fh0c/hBbW44PZFUe8Uc5yUo23CAEyLvXxTlr0kvJxbfJe0vR5oGmeHnkZc/JRPIeeZ/XsCWEwfb6qLsWSlsueZVTrZwPV6qmLlyLXCud7ufuEIcd6ghpo2yVl7SoHnhoxsgm1lV7gfNMNCAv/6prYuyVSSfpCGsV0h+10EjsozBUF0dmdnmVtvY7tURCWmHqOWpwM6/juiAvMePPE5HXHta8nQ+jm6VkhPUDw9JhoBpGKVVOLzkfRjoHnk1eF8MURdHK2kqsLrcLvRVWKI4EeU1/dHmZjjlGOCodMnKkwPEJm6HB7nwoVUg99RBC4k6yMhSk2YCJlkNzDH+Sp7HmdYTSEQWjFpg7zcO1anrlsvIaU7HeDfsZc8zyCs9xkskl4pfBcaC/gPSOa8shr39Sd7RliRbkdSSodOGAUQvMnTxfq5smL8k05MGcMF388saddVLMSU4G1X8ITdKsdxrLBi5Bc1+SvHHpMImRgrjnef1njJvUtGvQss921qN0UdoNQHv7BXnNfcFrXv71Juw+L0mMFCT/6TtbwB2i7Aw46/ufnndfi8N1EYGGvG55bckHf+mIp17YJ2yWf8fPvJaz7hFKaYvUiDbMwkvwJ7Qt5deTllfpyKEkSV7LEYkfD5sVAta87lNNBHXeI0k/69qPoMvAfrEFtGUWn8bdhm2a1mJ1HyngQqlnG4a0mZdEwMPoEec+v7ypB+Zoa87yHrLapmn1QN1HCtgw+fqBaWteEqy85HyE2pw6+ZGCI9WMvvq04hkvG5Ss1ATVVJXkzVE0SPqBlgpB8qptkcTCekXzpUv3bOc04KxHHRjlqr+tk5OX5Kp1YWFb85JO0v4eTspeTdt31LhIzPCpj8IQhiOn0DOmZJ181lMPzNEW5DW7QB/MIZ3c/ko6vSsdy7uAtgLGjz3E0a/QM6bkm3DWjcNxtyGnvGS2Iif5lnRhGJFQeUmv9WKbvLrebpJjoiUFh6ypUDnOqb8A8maRl0tBTVCpp3SEnHV6tH6gd161ymumQMfPRLM1HOeDXJTZTjIpmP5CUX6djbxsDupOpRrXMz/aVW9TqvzKhVJZYShoy98umPUc50M5MNtJtrZSCO1v6+TkVetxPfOjHfVcQxKTnqOAK6b1FpB3zvLeMqPDohfKbGgvZiGW4yLkXSiT9aHFHKcwoQDy5pCXm9kC5D3I0GkFyiFmAek1OySuFKz7HAWOgc92ChMKIG8OedkclJ3bX3c/9I4o8pJDlAMdvSb1rDsj5CVtmQXHnbEcBZA3u7xmOtudvsGw2GwKZa9BrwvyTYj0wMPRyelF1StSAHlzy0vySe6ZX6hb7cdBSjMbx6ApByo1HL67GbH9ylYAeduVN3kw9j/n9Ya/auOQt8iw0sFwF9/mvkcAeTOg25FXdaQpedmC20QG5M2AbkJeJRElq9LDSgdjpm1VbVygvPdvl2c3ofJuM9n92JRA3nk0Lk/eh/NVd/08Tt7SoxgwGDNtq2rj8uS9f3/VrV9dQd4m2qrauDx5169vuvt3F/1vj/tw11N6k/E731ML5tpW1cZLon2RJu/d2U7eITDz1m2rauOSZ15e3ttNCuRndEGXgXHEgWZBN2FbKdlM2Dgp7jKii8gbuubN9l//a/2/gAnMlJjj5H04fxN0t6G1EWksHWDSMMfJG3qft7URaSwdYNIwR8qrReWuVOAAUxUDeYERi4G8wIjFQF5gxGIgLzBiMZAXGLEYyAuMWAzkBUYsBvICIxYDeYERi4G8wIjF5JSXC+ZJ9RrRVjrIxh0h2UDeioFs3AF5SbSVDrJxB+Ql0VY6yMYdLciLQBQLyIsQG5AXITYgL0JsQF6E2Cgi7/hX8etfl79c7f9UU/uLzYlDTaffLFddd71cjv+snM02jYqDo2QzJDMMTrWx2Z4b3RhubErIe7c5If0wnN1sv5JP/2a+aUNNZ/imlPVvF93lqk4uejbbNCoOjpZNt/kqpFpjsz03ujHs2BSQ9/LZX/3lvP1Sne3Xk+jfUjJpaOncDeNwuXr448J73ATZbNOoNzhaNt3Gn2pjsz03ujHs2BRbNmxHRN+UaCwqneGfwyX1dnyBrJ3NNo2ag6OPzTDH1Rwbagw7NsXkHV+Lnl1sv5JP/2a+iUNJp9t828+wcqg1wyjZbNOoOTja2IxJ1Byb4dzoxrBjU/QN27//0czMu01nmFjebIsrre20bMY0as+8+2zu9m+N6ozNeG5amHnHZN4HLV1Kh5JOf572p6WmvNtsNmnUHBwtm8vddV1nbDbnpoU173C5jO8W3yibOqGks3V3mGIe/qynyzabbRo1B0fJZrtYqDY223OjG8OOTbmZ924ZeruudCjpKPcyn9VcxGwHZ5tG7fu8u1O1eXmuNTa7c1P3Pi8CMUlAXoTYgLwIsQF5EWID8iLEBuRFiA3IixAbkLd8fPnx0+7Xr//ye81MZhaQt3xA3kIBecsH5C0UkLdsfHux+OEfvbzfPywWjwZ5/7FY/PT3fvfHvqz7/GjcPSj+9clisXjaff35PxcH4xGOgLxF49uLp/3/f/z0/cMg6KNezp/+Hra7+DJ6/XIs+vzT399evOy3P376+uQRA0VsA/IWjXHF0Ns4br8MVr7U1g6DrV9/3uzuf///YU7ud4/VEL6AvEXj87BEGOwct72VP28sPVR4NP5vMcbTXvB+88PvWBoHBeQtGl55v/78vx9ebqp1w54ffh+rQd6QgLxFY7dc+NJLOS4bBitVNb9/+Lfe53H3UH2Q+Atm3sCAvEXj24tH7Bu2fm4ebkJ8/9Bb20s7SPz1CeQNDMhbNmy3yrQ7CZv3ZsPuYfb92G/+58VLyBsUkLdyjKtgRFJA3srx+WntDOQG5K0R4wdpw02x/36ifNyGiAzIixAbkBchNiAvQmxAXoTYgLwIsQF5EWID8iLExj8BLIxhuV3vTMEAAAAASUVORK5CYII=)
Testati 3 valori pentru alpha in graficul de mai sus.
ggplot(aes(x=dob_year, y=mobile_likes), data=pf)+
geom_point(alpha=1/10)
![](data:image/png;base64,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)
Colorati punctele din nor intr-o culoare la alegere.
ggplot(aes(x=dob_year, y=mobile_likes), data=pf)+
geom_point(alpha=1/10, color="deepskyblue4")
Colorati punctele din nor in functie de sex.
ggplot(aes(x=dob_year, y=mobile_likes), data=subset(pf,!is.na(gender)))+
geom_point(alpha=1/10, aes(color=gender))
Grupati datele din pf in functie de anul nasterii.
library(dplyr)
package <U+393C><U+3E31>dplyr<U+393C><U+3E32> was built under R version 3.5.3
Attaching package: <U+393C><U+3E31>dplyr<U+393C><U+3E32>
The following object is masked from <U+393C><U+3E31>package:gridExtra<U+393C><U+3E32>:
combine
The following objects are masked from <U+393C><U+3E31>package:stats<U+393C><U+3E32>:
filter, lag
The following objects are masked from <U+393C><U+3E31>package:base<U+393C><U+3E32>:
intersect, setdiff, setequal, union
pfAn <- group_by(pf, dob_year)
str(pfAn)
Pentru fiecare an al nasterii salvati intr-un tabel nou media, mediana si numarul de observatii pentru variabila mobile_likes.
pfAn.sumar <- summarise(pfAn,
MediaML=mean(mobile_likes),
MedianaML=median(mobile_likes),
Nobs=n())
head(pfAn.sumar)
Reprezentati intr-un grafic media si mediana pentru mobile_likes pentru fiecare an (printr-o linie poligonala).
G1 <- ggplot(aes(dob_year), data=pfAn.sumar)+
geom_line(aes(y=MediaML), color="blue")+
geom_line(aes(y=MedianaML), color="red")+
geom_line(aes(y=Nobs), color="green")+
ylab("Media, mediana si Nobs Mobile_likes")
G1
Reprezentati intr-un grafic numarul de mobile_likes pentru fiecare an.
G2 <- ggplot(aes(x=dob_year, y=Nobs), data=pfAn.sumar)+
geom_line(color="firebrick3")
G2
Grupati ultimele doua grafice impreuna.
library(gridExtra)
grid.arrange(G1,G2)
![](data:image/png;base64,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)
Reprezentati printr-un nor de puncte dob_year si likes_received.
ggplot(aes(x=dob_year, y=likes_received), data=pf)+
geom_point()
![](data:image/png;base64,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)
Adaugati pe graficul de mai sus media likes_received pentru fiecare dob_year (printr-o linie poligonala).
ggplot(aes(x=dob_year, y=likes_received), data=pf)+
geom_point(color='chocolate1', alpha=1/10)+
geom_line(stat="summary", fun.y=mean)+
coord_cartesian(ylim=c(0,5000))
![](data:image/png;base64,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)
Adaugati pe graficul de mai sus mediana, quantilele 10% si 90%.
ggplot(aes(x=dob_year, y=likes_received), data=pf)+
geom_point(color='chocolate1', alpha=1/10)+
geom_line(stat="summary", fun.y=mean)+
geom_line(stat="summary", fun.y=median, linetype=2)+
geom_line(stat="summary", fun.y=quantile, fun.args=list(probs=0.9), linetype=3, color="darkblue")+
geom_line(stat="summary", fun.y=quantile, fun.args=list(probs=0.1), linetype=3, color="darkblue")+
coord_cartesian(ylim=c(0,750))
![](data:image/png;base64,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)
Reveniti la toate graficele de mai sus si adaugati etichete potrivite pentru axe, titluri, subtitluri, si explicatii (caption).
Exercitii:
Grupati datele din pf in functie de dob_month.
Pentru fiecare valoare a dob_month calculati pentru variabilele likes, mobile_likes si www_likes valoare medie, mediana, abaterea medie patratica, suma si numarul de observatii.
Reprezentati mediile celor 3 variabile ca si linii poligonale.
Reprezentati medianele celor 3 variabile ca si linii poligonale.
Grupati datele din pf in functie de tenure.
Pentru fiecare valoare a tenure calculati pentru variabilele likes, mobile_likes si www_likes valoare medie, mediana, abaterea medie patratica, suma si numarul de observatii.
Reprezentati mediile celor 3 variabile ca si linii poligonale.
Reprezentati medianele celor 3 variabile ca si linii poligonale.
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