7.3.4
1.
All are skewed to the right. The distributions of x and y are very similar. The distributions of z looks to be less spread out. All look to be bimodal.
I think x and y are the length and width, and z is the depth.
diamonds
diamonds %>% select(x,y,z) %>%
ggplot(aes(x = x )) +
geom_histogram() +
scale_x_continuous(limits=c(0, 10)) +
scale_y_continuous(limits=c(0, 15000))
![](data:image/png;base64,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)
diamonds %>% select(x,y,z) %>%
ggplot(aes(x = y )) +
geom_histogram() +
scale_x_continuous(limits=c(0, 10)) +
scale_y_continuous(limits=c(0, 15000))
![](data:image/png;base64,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)
diamonds %>% select(x,y,z) %>%
ggplot(aes(x = z )) +
geom_histogram() +
scale_x_continuous(limits=c(0, 10)) +
scale_y_continuous(limits=c(0, 15000))
![](data:image/png;base64,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)
2.
There are not prices around $1500.
The mode of the distributions is around $750.
At the lowest levels there are spikes in the prices where the diamonds are actually priced.
diamonds %>% select(price) %>%
ggplot(aes(x = price )) +
geom_histogram()
![](data:image/png;base64,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)
diamonds %>% select( price ) %>%
filter(price < 2500) %>%
ggplot(aes(x = price )) +
geom_histogram()
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAACWFBMVEUAAAACAgIDAwMEBAQGBgYHBwcJCQkLCwsMDAwNDQ0ODg4QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkbGxsdHR0eHh4fHx8gICAhISEjIyMkJCQlJSUoKCgtLS0vLy8xMTEyMjIzMzM2NjY3Nzc4ODg5OTk6Ojo7Ozs9PT0+Pj4/Pz9AQEBBQUFERERFRUVHR0dISEhJSUlLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVXV1dYWFhZWVlaWlpbW1tcXFxdXV1gYGBhYWFlZWVmZmZnZ2doaGhpaWlra2ttbW1ubm5vb29xcXF0dHR1dXV3d3d4eHh5eXl7e3t9fX1+fn5/f3+BgYGCgoKHh4eIiIiKioqLi4uNjY2QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqcnJydnZ2enp6fn5+goKChoaGjo6OkpKSlpaWoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS2tra3t7e4uLi5ubm7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/S0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////p5oTJAAAACXBIWXMAAA7DAAAOwwHHb6hkAAAUC0lEQVR4nO3c/Z9cV13A8XV9ACstBQS1BasuBaq1CsqW2kDNbh5tEpIshbJhbZWQJ7WlMVYhaUQLhljdUmNM89AajSm0cRtD032amd152jn/ljPZmT3dyT1nz5zv3HvuST6fH/a2mTl77vfe92u5G2AGFFGkDYQ+ASLfwEvRBl6KNvBStIGXog28FG0yvPOGigumV9wqV2TrSyXZ+sqibP1iQba+Jr1+suXFWjHo/qXaGtevL3jfMTRTMr3iVrkqW1+Yk62vL8rWL0zL1quCbH1FtnxGzQbdf15dt78BvJbAG3R/8EoCb9D9wSsJvEH3B68k8AbdH7ySwBt0f/BKAm/Q/cErCbxB9wevJPAG3R+8ksAbdH/wSgJv0P3BKwm8QfcHryTwBt0fvJLAG3R/8EoCb9D9wSsJvEH3B68k8Abd/9bHu/7mVl4DryjwSgKvbD14HaoaqtVNr7i11Fj7PQl4V16rC/dvLMnWL9Vk65X0/GXLa0p4/sL960ZYy5X4yWuJn7xB9+exQRJ4g+4PXkngDbo/eCWBN+j+4JUE3qD7g1cSeIPuD15J4A26P3glgTfo/uCVBN6g+4NXEniD7g9eSeANuj94JYE36P7glQTeoPuDVxJ4g+4PXkngDbo/eCWBN+j+4JUE3qD7g1cSeIPuD15J4A26P3glgTfo/uCVBN6g+4NXEniD7g9eSeANuj94JYE36P7glQTeoPuDVxJ4g+4PXkngDbo/eCWBN+j+4JUE3qD7g1cSeIPuD15J4A26P3glgTfo/uCVBN6g+4NXEniD7t8PvCe2jHz9qlLntm3cX+s+gNcWeEX1Ae/UurfLz3xVlUYuVcaPdx3Aaw28ovqA99X9Sl3ZqCbHlTo71nVQqnrx4sVrM4bmF02vuFWtrf2eBLwrr5WKsv3rZdn68pxsvVqQra/Kls+rQtD9S2rW+vq0w2NDU+hTh9SxA80fwpu7DkpdHRoa2mtdnHIJeEOeDmVXpX204W386PFv19Wxg02um7oOzW9w+vTpK7OGCmXTK25Va2u/JwFvQn77L1X81nUqF2Tr1YJsvcPls1VQxaD7l9Sc9fWZtfE2vvnEVPMwuUep87u7Du1MzySBnnltj8E9xTNv0P378Mx7ele1Xq+r0uhUY+KFrgN4rYFXVB/wPjvcbKT5+9n2rftq3Qfw2gKvqNvyv6RwbO3vDd6g+99ieP2lgrf3wCsJvLL14AWvd+AVBV7wegdeSeCVrQcveL0Dryjwgtc78EoCr2w9eMHrHXhFgRe83oFXEnhl68ELXu/AKwq84PUOvJLAK1sPXvB6B15R4AWvd+CVBF7ZevCC1zvwigIveL0DryTwytaDF7zegVcUeMHrHXglgVe2Hrzg9Q68osAr8QzeoPuDF7zegVcSeGXrwQte78ArCrzg9Q68ksArWw9e8HoHXlHgBa93twfeqqFa3fSKW0uNrj9IG2/Xdo0l4fnXZOuV8Pp1X74eqynh+Qv3rxthLVfiJ+9769qOn7xB9+exAbzegVcSeGXrwQte78ArCrzg9Q68ksArWw9e8HoHXlHgBa934JUEXtl68ILXO/CKihlv2lLBu0bg9Q+84LW/AbzgNQVe/8ALXvsbwAteU+D1D7zgtb8BvOA1BV7/wAte+xvAC15T4PUPvOC1vwG84DUFXv/AC177G8ALXlPg9Q+84LW/AbzgNQVe/8ALXvsbwAteU+D1D7zgtb8BvOA1BV7/AuBNSDIBeEWBV5pkAvCKAq80yQTgFQVeaZIJwCsKvNIkE4BXVF/w1rYUm193DQ8PH1Lq3LaN+2srB/DaAq+ofuB9cWy4hXf9XKVSV6WRS5Xx450DeK2BV1Q/8F449UgTb2HDjX+ZHFfq7FjnoFTl9OnTV2YNFcqmV1wKzXY5yQTlgmT17KxakK2vyZYXVDHo/iU1Z319xuWxQT3axHt5dMdjT15Vxw4oNbW5c1Dq6tDQ0F7rYu9Cs10undmoD1Xax7Xxvnlkvnh4TB072FS7qXNQqnrx4sVrM4bmF02vuBSa7XKSCcpzktUzM2pBtr4qWz6vCkH3L6lZ6+vTznjLTefT6xqTe5Q6v1u1D+1MzyQ880pW88zbl78qa+E9uXN28flxVRqdaky80DmA1xp4RfUPb+PwhtGJ5g/qs9u37qutHMBrC7yi+C8ppEkmAK8o8EqTTABeUeCVJpkAvKLAK00yAXhFgVeaZALwigKvNMkE4BUFXmmSCcArCrzSJBOAVxR4U8h5AvCKAm8KOU8AXlHgTSHnCcArCrwp5DwBeEWBN4WcJwCvKPCmkPME4BUF3hRyngC8osCbQs4TgFcUeFPIeQLwigJvCjlPAF5R4E0h5wnAKwq8KeQ8AXhFgTeFnCcAryjwppDzBOAVBd4Ucp4AvKLAm0LOE4BXFHhTyHkC8IoCbwo5TwBeUeBNIecJwCsKvCnkPAF4RYE3hZwnAK8o8KaQ8wTgFQXeFHKeALyiwJtCzhOAVxR4U8h5AvCK8sD72Rtfpx/tAW/VUK1uesWl0EaNOU+wVJPMX60q0fWrVhuy5TUlPH/h/nUjrOVK3Xiffnrg6VaP38lPXlPOE/CTV1TPP3kfeGDggVa//Qx4TTlPAF5RHo8NQz2oBa818Iry+YVt4XKrN8BrynkC8IrywPu3Pz/Q6hfAa8p5AvCK8sB7z5NvvfcV8N6U8wTgFeWB99dqiUDBu5LzBOAV5YH3iz8Grz3nCcArygPvKw/uO/lyM/Cacp4AvKI88A62A68p5wnAK4r/bUMKOU8AXlEeeGeWmwevKecJwCvKA+/AcveD15TzBOAV5YH3v5qd+8vfeB28ppwnAK8o72feHzwEXlPOE4BXlDfe196fLd7QIHvJeSjwivLA+1qryT/4dfCach4KvKK8f2G7+wfgNeU8FHhFeeAt3KjRg13wGgKvKJ9n3qWXDn7r5BJ4jTkPBV5RHniv/dbP3HPv4NA18JpyHgq8ojzw/vGn3lTqrU+NgNeU81DgFeWB90P/0vo6+WHwmnIeCryiPPDevYz3Q+A15TwUeEX5PDbc/5ZS//vp9eA15TwUeEX5/MI2NHjvxwd/k1/YjDkPBV5RXn9V9s/79/2Qvyoz5zwUeEV54C1/bYNSv79zAbymnIcCrygPvDvuPqjUkV/ZCV5TzkOBV5TPX5X9devrd38ZvKachwKvKA+8d77S+nr6A+A15TwUeEV54F33uRml5oe/AF5TzkOBV5QH3qv3ve+Tn7nj41fAa8p5KPCK8vmrsvr3Jr7xnUoPdsFrCLyi+vK5DbUtxebXc9s27q91H8BrC7yi+oH3xbHhJt7SyKXK+PGuA3itgVdUP/BeOPVIE+/kuFJnx7oOSi2eOHHi8ryhYtn0yk2FBtlLzkNVis5vTUwtytbXZMuLqhR0/0VVsL4+6/LYoB5t4j12QKmpzV2H5q93Q0NDe62L3QoNspf6MC71oc7vZQ54Dza5buo6KLU0NzdXvm5odsH0yk2FBtlLzkMtzji/NTFVlK2vyJbPqLmg+xfUu/Y3OOOd3KPU+d1dh3amZ5Jb9Jk3oeSheOYV1Z9PiWzhLY1ONSZe6DqAt13yUOAV1T+86uz2rftq3QfwLpc8FHhFRfP5vKH1CUseCryiwJtNyUOBVxR4syl5KPCKAm82JQ8FXlHgzabkocArCrzZlDwUeEWBN5uShwKvKPBmU/JQ4BUF3mxKHgq8osCbTclDgVcUeLMpeSjwigJvNiUPBV5R4M2m5KHAKwq82ZQ8FHhFgTebkocCryjwZlPyUOAVBd5sSh4KvKLAm03JQ4FXFHizKXko8IoCbzYlDwVeUeDNpuShwCsKvNmUPBR4RYE3m5KHAq8o8GZT8lDgFQXebEoeCryiwJtNyUOBVxR4syl5KPCKAm82JQ8FXlHgzabkoVLF63AW4AWvQ8lDgVcUeLMpeSjwigJvsN4BL3hj7R3wRoG3aqhWN71yU5nbSr3mUEs15/kTU7br53wW3tWU8PwbsuV1I6zlSvzkzTDnq9H5ydLjT94+bPnebo+fvKZvDt7VOV+Nzs2R45WcBngd65+QHOd8NTo3B7zWwJthzlejc3PAaw28GeZ8NTo3B7zWwJthzlejc3PAaw28GeY4uL454LUG3gxzHFzfHPBaA2+GOQ6ubw54rYE3wxwH1zcHvNbAm2GOg+ubA15r4M0wx8H1zQGvNfBmmOPg+uaA1xp4M8xxcH1zwGsNvBnmOLi+OeC1Bt78pW8OeK2BN3/pmwNea+DNX/rmgNcaePOXvjngtQbe/KVvTiGVy+N6T8DrWF/vTuTpmwNea+DNX/rmgNcaePOXvjnp4HU9C/A6FuDu5DZ9c24VvMnff63AG2H65oDXGnjzl7454LUG3vylbw54rYE3f+mbA15r4M1f+ubcyngTt1wVeCNM3xzwWgNv/tI3B7zWwJu/9M0BrzXw5i99c8BrDbz5S98c8Fpzx7treHj4kFLntm3cX1s5gDeF9M0BrzV3vOvnKpW6Ko1cqowf7xzAm0b65oDXmjPewoYbh8lxpc6OdQ5KlY4ePfpawVCpYnrlplK9D5G1clFUOeDlad4+teB8/xKr9Xj6XcsXVdH67eec8V4e3fHYk1fVsQNKTW3uHJS6OjQ0tHftH9trlup9iKx8XJ4+3NReT7/H71ppH9fG++aR+eLhMXXsYFPtps6hnenHOo8NXun/WAz52JCQ891sl5vHhnLT+fS6xuQepc7vVu0DeNNI3xzwWnPGe3Ln7OLz46o0OtWYeKFzAG8a6ZuTM7wJWW9qbvA2Dm8YnZhu/pq2feu+2soBvCmkb07+8Sakb2pu8NoyfXPweqVvDnitgTd/6ZsDXmvgzV/65kSJ1z/wxh94wRtt4AVvtIEXvNEGXvBGG3jBG23gBW+0gRe80QZe8EYbeMEbbeAFb7SBF7zRdtviTQi8kQVeHXgjC7w68EYWeHXgjSzw6nKHN/QFyXvg1YE3ssCrA29kgVcH3sgCrw68kQVeHXgjC7w68EYWeHXgjSzw6sAbWeDVgTeywKsDb2SBVwfeyAKvDryRBV5d+nivG5otJf5x6AuS91YulCre9pfMRGv5+vQD76KhSi3xj0NfkLy3cqFU9ba/ZCZarQp9wctjQ1/jsUGX/mMDePsaeHXgjSzw6sAbWeDVgTeywKsDb2SBVwfeyAKvDryRBV4deCMLvDrwRhZ4deCNLPDqwBtZ4NWBN7LAqwNvZIFXB97IAq8OvJEFXh14Iwu8OvBGFnh14I0s8OrAG1ng1YE3ssCrA29kgVcH3sgCrw68kQVeHXgjC7w68EYWeHXgjSzw6sAbWeDVgTeywKsDb2SBVwfeyAKvDryRBV4deCMLvDrwRhZ4dangPbdt4/4aeFMJvLo08JZGLlXGj4M3lcCrSwPv5LhSZ8ea/1B87rnnXi0aWqgWi6Gnj7CV66cqnX8KfUrBMtFqNe+J99gBpaY2N//h2kMPPfQXjZRSKq3vHMn+rLdV9sV7sIl3U+ffenxscK5cla0vzMnW1xdl6xemZev1Y4NfFdnyGTUbdP95dd3+Bk+8k3uUOr8bvPbAKyotvKXRqcbEC+C1B15RaeFVZ7dv3ef7V2XOgVe2HrwOmb45eGXrwWt/A3gtgTfo/uCVBN6g+4NXEniD7g9eSeANuj94JYE36P7glQTeoPuDVxJ4g+4PXkngDbo/eCWBN+j+4JUE3qD7g1cSeIPunw3etPr+0bD7H3kp6PaNvReC7v/O3reD7n9pb3ntN6m84n1iS9j9v/SnQbdfGvq7oPtfGjoXdP8Xh+ac3gfepMAbdH/wSgJv0P3jxvvuT8Puf20m7P5TxaDbV6cqQfcvTS05vS+feIkcAi9FG3gp2vKFd9fw8PChlc9DW/WxaOlX29J60ly9d5ansLx/sEtwYsvI16+Gm7+9fU/j5wvv+rlKpd75PLTVH4uWei+ODRdV195ZnsLy/sEuwdS6t8vPfDXY/O3texs/V3gLG24c2p+HtvKxaNl04dQjxe69szyF5f2DXYJX9yt1ZWOw+dvb9zZ+rvBeHt3x2JNXO5+HtvKxaFn1aFF17Z3tKbT2D3kJqk8dCjl/a/vexs8V3jePzBcPj3U+D231x6Jl0A28q/bO9hRa+4e7BI0fPf7terj5l7fvbfxc4S1XlJpe12h/Htrqj0XLoBae1Xtnewqt/YNdgsY3n5hS4eZvb9/b+LnCe3Ln7OLz453PQ1v9sWgZ1MKzeu9sT6G1f7BLcHpXtV6vB5u/vX1v4+cKb+PwhtGJ6ZXPQ1v1sWgZ1MLTtXemp9DaP9gleHa42Uiw+dvb9zZ+rvAS9RJ4KdrAS9EGXoo28FK0gZeiDbwUbeClaAMvRRt4g/STgYOhT+EWCLwBKr8x/ZVToU/iFgi8WXXmrpfvv/N3/1Opwe/d9Ydq8GX1f1+668M7ympm68d+8fP/E/rsogy8WXXm5z79k9JX7ppTg5/4qx838dbv+9wrhz/4tcaDv/PSvz/2kenQpxdj4M2qMwPfV6p+z7fU4FPNfxt8+R/e1wR7cOOpn31XqdpH/z706cUYeLPqzMD15tcvblOD/6RaeCc+eeOPnx0YbDbwZ0HPLdLAm1VnBlqfYfWFP2k97rbwfuMzN/746AeCnlXUgTerzgx8V6nS3X/ewfudO+aV+pvf+++BC0r99OHXQ59ejIE3q84MfOz4v33+ztkO3sq9D//HsV/9svqj+07+62c/UQ19ejEG3qw6M/CP973/wddVB6966+Ff+siXF1Tx8Y/e8fAboc8uysCbVWcGsvz/490WgTerwNv3wJtV4O174KVoAy9FG3gp2sBL0QZeijbwUrSBl6INvBRt/w/rajNgWk1n9AAAAABJRU5ErkJggg==)
diamonds %>% select( price ) %>%
filter(price < 2500) %>%
ggplot(aes(x = price )) +
geom_histogram(binwidth = 10, center = 0 )
![](data:image/png;base64,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)
diamonds %>% select( price ) %>%
filter(price < 900, price > 800) %>%
ggplot(aes(x = price )) +
geom_histogram(binwidth = 01, center = 0 )
![](data:image/png;base64,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)
NA
3.
There are 23 diamonds that are .99 carats and there are 1558 diamonds that are 1 carat. Rounding up is worth more money.
diamonds %>% select(carat) %>%
count(carat == 0.99)
diamonds %>% select(carat) %>%
count(carat == 1)
diamonds %>%
filter(carat >= 0.9, carat <= 1.1) %>%
count(carat)
diamonds %>%
filter(carat >= 0.9, carat <= 1.1) %>%
count(carat) %>%
ggplot(aes(x= carat, y = n)) +
geom_col()
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAACHFBMVEUAAAADAwMGBgYHBwcJCQkKCgoLCwsMDAwODg4PDw8QEBASEhITExMUFBQVFRUWFhYXFxcYGBgbGxsfHx8gICAhISEjIyMlJSUtLS0yMjIzMzM1NTU2NjY4ODg6Ojo7Ozs9PT0+Pj4/Pz9BQUFERERGRkZHR0dISEhLS0tNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVXV1dZWVlaWlpbW1tcXFxdXV1fX19gYGBhYWFiYmJkZGRlZWVmZmZoaGhpaWlqampra2ttbW1ubm5vb29xcXFzc3N0dHR1dXV3d3d4eHh5eXl7e3t8fHx9fX1+fn5/f3+BgYGCgoKDg4OHh4eIiIiJiYmKioqLi4uPj4+RkZGSkpKUlJSVlZWWlpaXl5eYmJiZmZmampqcnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqaoqKipqamrq6utra2urq6vr6+wsLCysrKzs7O2tra3t7e5ubm7u7u9vb3AwMDBwcHCwsLDw8PExMTFxcXHx8fJycnKysrMzMzNzc3Ozs7Pz8/Q0NDS0tLV1dXW1tbX19fY2NjZ2dnb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXn5+fo6Ojp6enr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////IdW0zAAAACXBIWXMAAA7DAAAOwwHHb6hkAAASq0lEQVR4nO3d/39b113H8YzvsPIdBphvY+HLvJVmVHFCUpKGdC0x3zoHDGPkW7sOki1QRpKtkGwu62iSdd2SbnTgZWniWLJkSZas8w+ipNeurLfu59xzdPXluq/XD7t2j+7R6cfPh3vTPmbvcUQFbc+kD0AUG3ipsIGXCht4qbCBlwobeKmwDYe3kq21Vi3jK60aOexRb+awyXp1+D0YiRQwklzwvpOte66S8ZVWzRz2qLdz2KS2Ovwe96dnJK0cNqk9GH6PFVfO+lLwRgdeCbyewCuBF7yBgVcCryfwSuAFb2DglcDrCbwSeMEbGHgl8HoCrwRe8AYGXgm8nsArgRe8gYFXAq8n8ErgBW9g4JWKiPdetu67tYyvtGrmsEe9ncMmtdXh91hxleE3yWUkjVYOm6yPdyS54G1kzG1kfaXRZg57tDs5bNLK4e+mubtG0m4Ov0f2kVRzwZvxuzyPDRKPDRLPvJ6mF28pJXMX8II3MPBK4PUEXgm84A0MvBJ4PYFXAi94AwOvBF5P4JXAC97AwCuB1xN4JfCCNzDwSuD1BF4JvOANDLwSeD2BVwIveAMDrwReT+CVwAvewMArgdcTeCXwgjcw8Erg9QReCbzgDQy8Eng9gVcCL3gDA68EXk/glcAL3sDAK4HXE3gl8II3MPBK4PUEXgm84A0MvBJ4PYFXAi94AwOvBF5P4JXAC97AwCuB1xN4JfCmdvXI/k/dce7GsYNnWv0X8A4XeKVc8S7v+37jc3/pavtvNReu9F3AO2TglXLF+/oZ5/73oFtacO76fN8FvEMGXinvZ96NT7/gLp3tfhM+3Hdx7u7evXtf7GTMZX3hqDdxuZwkj/oPkoY3aJOog0ztSFJrZMDb+a+n/7ntLp3rcj3Ud3Guev78+der2aq5RsZXWrVz2GNjM49N6sPvISNJw2vuksdIWrmMZH34PWou61wrfrydf/yL5e5l6aRzN0/0XXhsGDIeG6RcHxu+/txGu912tbnlzuLlvgt4hwy8Uq54/2m22/7un8+OHz3d6r+Ad7jAK/EfKTyBVwKvHXgl8Erg9QReCbx24JXAK4HXE3gl8NqBVwKvBF5P4JXAawdeCbwSeD2BVwKvHXgl8Erg9QReCbx24JXAK4HXE3gl8NqBVwKvBF5P4JXAawdeCbwSeD2BVwKvHXgl8Erg9QReCbx24JXAK4HXE3gl8NqBVwKvBF5P4JXAawdeCbwSeD2BVwKvHXgl8Erg9QReCbx24JXAK4HXE3gl8NqBVwKvBF5P4JXAawdeCbwSeD2BV3rf4n2QrVVXy/hKq40c9mi0c9ikvjb8HmVX3fkX0vCau+QxkmYuI6kMv4eMJLWVXPCuZ6vumhlfadXOYY9WJ4dNNhrD7yEjScNr7pLLSDbz2GQUI0ktw28DylDG7/I8Nkg8Nkg883oCrwReO/BK4JXA6wm8EnjtwCuBVwKvJ/BK4LUDrwReCbyewCuB1w68Engl8HoCrwReO/BK4JXA6wm8EnjtwCuBVwKvJ/BK4LUDrwReCbyewCuB1w68Engl8HoCrwReO/BK4JXA6wm8EnjtwCuBVwKvJ/BK4LUDrwReCbyewCuB1w68Engl8HoCrwReO/BK4JXA6wm8EnjtwCuBVwKvp8niTQNaMtbMDcEL3sDAK4HXE3gl8II3MPBK4PUEXgm86bWOVLv/+9zs7OwLzt04dvBMa/sC3ojAa5Uv3lfmZx/iLZWbzbar7b/VXLiydQFvTOC1yhfvG6893sW7duDRJ0sLzl2f37o4t1kulxv3snXfrWV8pVUzhz3q7Rw2WS9H3piK11gzN8xjJI1WDpusrw6/x4qrZH1plscG90QX7+25Z558/o67dNa55cNbF+fuzMzMnDJvpv5S8RprEz7yVNZMrn68b1+sVC/Mu0vnumoPbV2cq1+9evV2JVtrrp7xlVatHPbY2Mxhk0Yt8sZUvMaaueH0jKQ6/B5Vt57xlauZ8Ta6zlf2dZZOOnfzhEsuSRkfUXjmfbdUvMaauSHPvB68155drb+84Gpzy53Fy1uXDHitr1RU4JXA68HbuXBgbnGl+8e040dPt7Yv4I0IvFbT9B8pwCuB1wq8nsArgXdA4JXAawVeT+CVwDsg8ErgtQKvJ/BK4B0QeCXwWoHXE3gl8A4IvBJ4rcDrCbwSeAcEXgm8VuD1BF4JvAMCrwReK/B6Aq8E3gGBVwKvFXg9gVcC74DAK4HXCryewCuBd0DglcBrBV5P4JXAOyDwSuC1Aq8n8ErgHRB4JfBagdcTeCXwDgi8EnitwOsJvBJ4BwReCbxW4PUEXgm8AwKvBF4r8HoCrwTeAYFXAq8VeD2BVwLvgMArgddq3Hit33qR+pWK/YUb0/PbQ/iFKv01Y0fSU96/UMXXmlHqV8q6yaode2NPG5s5bNJcj7zRGknUtKZnJLXh96i5esZXlnPBa31rT/1Kxf5jhccGiccG8AYGXgm8nsArgRe8gYFXAq8n8ErgBW9g4JXA6wm8EnjBGxh4JfB6Aq8EXvAGBl4JvJ7AK4EXvIGBVwKvJ/BK4AVvYOCVwOsJvBJ4t1u//bDvgNcTeKWJ4/23H97zsB8BryfwShPH+8vPf693BbxpgVeaON5fagWwBW9E4LUaCu8nvgveTIFXmjjer33k9LVXu4HXE3ilieP9QBJ4PYFXmjjeiKw3AK8EXivwegKvBN4BgVcCrxV4PYFXAu+AwCuB1wq8nsArgXdA4JXAawVeT+CVwDsg8ErgtQKvJ/BK4B0QeCXwWoHXE3il3Yq3daTa/d8bxw6eafVfwBsReK3yxfvK/GwXb23/rebClb4LeGMCr1W+eN947fEu3qUF567P912c23jzzTfvPjBK/UpZN1ltxN7YU6Odwyb1tcgbrZFETSuPkTRzGUll+D3KrprxlStZHhvcE128l846t3y47+LcnZmZmVPWvalfKfMdd3XWSJhW9prJNQPec12uh/oufOeNyRpJ1LT4zuvBu3TSuZsn+i5J1nNJ6lcq9pmIZ16JZ14P3trccmfxct8FvDGB12oUeN3140dPt/ov4I0IvFb8RwpP4JXAOyDwSuC1Aq8n8ErgHRB4JfBagdcTeCXwDgi8EnitwOsJvBJ4BwReCbxW4PUEXgm8AwKvBF4r8HoCrwTeAYFXAq8VeD2BVwLvgMArReJNvw284A0MvBJ4PYEXvEngjQ68Eng9gRe8SeCNDrwSeD2BF7xJ4I0OvBJ4PYEXvEngjQ68Eng9gRe8SeCNDrwSeD2BF7xJ4I0OvBJ4PYEXvEngjQ68Eng9gRe8SeCNDrwSeD2BF7xJ4I0OvFIR8a4ZpY7cusmqHXtjTxubOWzSXI+80RpJxFJpikZSG36PmqtnfGU5F7yrRqkjt26yasXe2FNzM4dN6muRN1ojiVgq5TOSdg6bNGJH0lPFVTO+8kEueK1v7akjj/3HCo8NssZjA3gDA68EXk/gBW8SeKMDrwReT+AFbxJ4owOvBF5P4AVvEnijA68EXk/gBW8SeKMDrwReT+AFbxJ4owOvBF5P4AVvEnijA68EXk/gBW8SeKMDrwReT+AFbxJ4owOvBF5P4AVvEnijA68EXk/gBW8SeKMDrwReT+AFbxJ4owOvBF5P4AVvEnijA68EXk/gBW/SRPFGwQYveJPAGx14JfCCF7zZAm904JXAC17wZgu80YFXAi94wZut7Hifm52dfcG5G8cOnmltX8Ab0QjwxgxyZ7sbb6ncbLZdbf+t5sKVrQt4Y4oZiXkbeD2tHXh0WVpw7vr81sW5+tWrV29XjFJH7llLrWUtZmxjM4dNGrXIG2NGYt7Wsm7LWD4jqQ6/R9WtZ3zlama8t+eeefL5O+7SWeeWD29dnLszMzNzyvyGnZZnbRcXM5L423ZvzeTqx/v2xUr1wry7dK6r9tDWxbnNcrncuGeUOnLPWmpNazFj9XYOm6yXI2+MGYl5W9O6LWONVuTfTW/rq8PvseIqWV+aGW+j63xlX2fppHM3T7jkkmQ9l6SO3LOWGs+8ssYzr6drz67WX15wtbnlzuLlrQt4Y4oZiXkbeD11LhyYW1zp/jHt+NHTre0LeCOKGYl5m4k345B3NV4r6w1ivlLgDZsWeMEbGHgl8MpcdwZeWQMveAMDrwRemevOwCtr4AVvYOCVwCtz3Rl4ZQ284A0MvBJ4Za47A6+sgRe8gYFXAq/MdWfglTXwgjcw8ErglbnuDLyyBl7wBgZeCbwy152BV9bAC97AdjfejLf1jQS84A2cFnjBG9guwBt5W/pIwAvewGmBF7yBgVdHAl7wBk5r3HhTl8BbAm/gtMAL3sDAK0vgLYE3cFrgBW9g4JUl8JbAGzgt8II3MPDKEnhL4A2cFnjBGxh4ZcnGa+zYE3g9gXeIdxsFXuvd0gNvdOCVJfB6jgxeWQMveAMDrywVEe+6UeqxPGupta3FjLU6OWyy0Yi8MWYk5m3tuNsi3824rWWOJPLdUqvkgnfFKPVYnrXUNqzFjDXaOWyyXom8MWYk5m0bcbdFvptxW708gndL7X4uePP+ZySPDWHTmqLHhhG8W3rgjQ68sgTeR2vpS+AdMJKo28AL3uBiRmLeBl7wBgZeWQJvCbyB0wIveAMDryyBtwTewGmBF7yBgVeWwFsCb+C0wAvewMArS+AtgTdwWuAFb2DglSXwlsAbOC3wgjcw8MoSeEs+vHF/p72Bd4h3Ay94w0Zi3gZe8AYGXlkCbwm8gdMCL3gDA68sgbcE3sBpgff9jDdqR/DKEnhL4A1aAi94g3cEryyBtwTeoCXwgjd4R/DKEnhL4A1aAu/7AG/cQdIDryyBtzQE3ph3i/5Kgbd/Cbwl8AYeErzgDbwNvLIE3hJ4Aw8JXvAG3lZbtW4Db17vBl7w5vZuxcd749jBMy3wju/dwJsb3tr+W82FK+Ad37uBNze8SwvOXZ/vflA9f/7861Wj1GPZa+lL7bjb0tciD1ndqI/z3eJGMop3s0aS/mt94t8ttdjfBnTprHPLh7sf3N27d++LnYy5rC8c9SYul5PkESORMh+kEYv3XBfvoa3PzO/t73XPVTK+0qr4P7ehp/vTM5JWDpsU47e+L5107uYJ8A4beKXR463NLXcWL4N32MArjR6vu3786OlM/6qsJ/BK4JXGgHdHGd8LvBJ4JfB6Aq8EXjvwSuCVwOsJvBJ47cArgVcCryfwSuC1A68EXgm8nsArgdcOvBJ4JfB6Aq8EXjvwSuCVwOsJvNL7Fm/G6qdujeNtMvSVi5M+QVLt1FuTPkLStX+d9AmSyqf+J/COseAtz/zHON4mQ3//iUmfIOmdmWuTPkLS35YmfYKk788sBd4B3skEXgm8nsArgdduc7k2jrfJ0IMfTPoESZvL65M+QtLK3UmfIKm9XA+8Yyx4iUYReKmwgZcK2yjxvvdjzb701MHP1Pt+ztkYk4M8Nzs7+8IEDuJc60h1x5kmNRI5yBSMJPko+0hGiPe9H2t2/en/q3zm830/52x8yUFcqdxstsd/EOdemZ+t9p5pUiORg0zBSJKPAkYyQrzbP9bMfeFF5279ac9fGG9ykLUD4z/Eu73x2uPV3jNNaiRykCkYSfJRwEhGiHf7x5q5V//kbvXckz1/YbzJQW7PPfPk83fGf5CHPVHtPdOkRiIHmYKRJB8FjGSUeLd/rFnn8wee+txTfT/nbHzJQd6+WKlemMT3O/eemXfPNKmRyEGmYCTJRwEjGeVjw/aPNWvWnPv6X/f9nLPxJQdpNJ1b2dcZ/0nc9lcqOdOkRiIHmYKRJB8FjGSUf2BLfqzZt2u3D7yz/udf7fs5Z+NLDnLt2dX6ywvjP8jDHn2lvl1LzjSpkchBpmAkyUcBIxnlvypLfqzZx7/p/v3AkS92+n7O2RjrP0jnwoG5xZUJHMQlX6nuSZIzTWok/QeZhpEkH2UfCf+RggobeKmwgZcKG3ipsIGXCht4qbCBlwobeKmwgZcKG3inot/+h0mfoIiBd3I1vrP9IXhjAu/Y+sEfPfZzzzTct37vJ3/8d77h3Ae+9NhHtz6Z2bPn9yd9vAIG3nHV/tU/+NqFn/4r92sfuXrtw7/exfsrL313+xO+88YE3nH15R9bce7cwc2/e8u5LzzWxftp57Y/AW9M4B1Xi7/x7rX51VN//DMP8f5nzyfgjQm84+pvfuvRpfqbH/qzKy89xPtqzyfgjQm84+qLP1Fx7l9+98s/Wnfuswne7U/AGxN4x1XzQx/770u/+Mmv7Ln41md/4Ye+8Qjv9icffnpC/y+GQgfesfW9j/3Uz39yvfOpn/3gvtsf/+gjvNufvPTBP5z08QoYeKmwgZcKG3ipsIGXCht4qbCBlwobeKmwgZcKG3ipsIGXCht4qbD9PyqRuzU1k3K9AAAAAElFTkSuQmCC)
4.
The cood_cartesian function zooms in on the original histogram.
The xlim and ylim functions limits the range of the data before counting. So the histogram is made for a subset of the data.
diamonds %>% select(price) %>%
ggplot(aes(x = price )) +
geom_histogram()
![](data:image/png;base64,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)
diamonds %>% select(price) %>%
ggplot(aes(x = price )) +
geom_histogram() +
coord_cartesian(xlim = c(0, 5000), ylim = c(0, 10000))
![](data:image/png;base64,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)
diamonds %>% select(price) %>%
ggplot(aes(x = price )) +
geom_histogram(binwidth = 100) +
coord_cartesian(xlim = c(0, 5000), ylim = c(0, 10000))
![](data:image/png;base64,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)
diamonds %>% select(price) %>%
ggplot(aes(x = price )) +
geom_histogram(binwidth = 100) +
xlim(0, 5000) +
ylim(0, 10000)
![](data:image/png;base64,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)
7.5.1.1
1.
The cancelled flights tend to occur later in the day, but have a wider range of scheduled departure hour.
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes(x = cancelled, y = sched_hour)) +
geom_boxplot() +
coord_flip()
![](data:image/png;base64,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)
2.
The most important variable is carat.
diamonds %>% select (price, carat, depth, table, x, y , z) %>%
cor()
price carat depth table x y z
price 1.0000000 0.92159130 -0.01064740 0.1271339 0.88443516 0.86542090 0.86124944
carat 0.9215913 1.00000000 0.02822431 0.1816175 0.97509423 0.95172220 0.95338738
depth -0.0106474 0.02822431 1.00000000 -0.2957785 -0.02528925 -0.02934067 0.09492388
table 0.1271339 0.18161755 -0.29577852 1.0000000 0.19534428 0.18376015 0.15092869
x 0.8844352 0.97509423 -0.02528925 0.1953443 1.00000000 0.97470148 0.97077180
y 0.8654209 0.95172220 -0.02934067 0.1837601 0.97470148 1.00000000 0.95200572
z 0.8612494 0.95338738 0.09492388 0.1509287 0.97077180 0.95200572 1.00000000
diamonds %>% select (price, carat, depth, table, x, y , z) %>%
ggplot(aes(x = carat, y = price)) +
geom_point()
![](data:image/png;base64,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)
diamonds %>% ggplot(aes(x = carat, y = price)) +
geom_boxplot(aes(group = cut_width(carat, 0.1)))
![](data:image/png;base64,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)
Examining the caregorical variables.
Weak positive relationship of price with color.
Weak neagative relationship of price with clarity and cut.
diamonds %>% ggplot( aes(x = color, y = price)) +
geom_boxplot()
![](data:image/png;base64,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)
diamonds %>% ggplot(aes(x = clarity, y = price)) +
geom_boxplot()
![](data:image/png;base64,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)
ggplot(diamonds, aes(x = cut, y = carat)) +
geom_boxplot()
![](data:image/png;base64,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)
3.
Looks the same, but x and y need to be switched for the boxploth()
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes(x = cancelled, y = sched_hour)) +
geom_boxplot() +
coord_flip()
![](data:image/png;base64,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)
library(ggstance)
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes(y = cancelled, x = sched_hour)) +
geom_boxploth()
![](data:image/png;base64,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)
4.
The boxes in the lvplot correspond to percentiles, every 10%.
Outliers are in the direction of the thinner percentiles.
library(lvplot)
diamonds %>% select(price, cut) %>%
ggplot(aes(x = cut, y = price)) +
geom_lv() +
coord_flip()
![](data:image/png;base64,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)
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes(x = cancelled, y = sched_hour)) +
geom_lv() +
coord_flip()
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAACxFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYsLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo9PT0+Pj4/Pz9AQEBCQkJDQ0NERERFRUVGRkZHR0dISEhKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJlZWVmZmZoaGhpaWlra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+BgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Pj4+RkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWnp6eoqKipqamrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////Tq3EuAAAACXBIWXMAAA7DAAAOwwHHb6hkAAAS5ElEQVR4nO3d+3/V9X3A8cPSdZ1UiqVFOrqp81LXdaxss9NNrdYwCE2BAO06q9My26LrjXWzrM4bVZlWV6uWKjgMd0K4lssBpNzCAZIQCAkQuSWBJOTy+Sd2voBw8ki+353z/n7O9/39nPN6/QCEw/uck8/7aTyEc5KEIXK0hPYdIJIGXnI28JKzgZecDbzkbOAlZ7OEt7WjqzVcnSHnuzrCzbeFne8+F+4KzoWd724LdwUdYeejI2AXb0tHd0u4ukLO95wPN3+yI+S8aQ13Ba1h583JcFfQEXa+J9x8DgTA2z/wgjeCez544AUveKXz4AWvNPCCF7zSefCCVxp4wQte6Tx4wSsNvOAFr3QevOCVBl7wglc6D17wSgMveMErnQcveKWBF7zglc6DF7zSwAte8ErnwQteaeAFL3il8+AFrzTwghe80nnwglcaeMELXuk8eMErDbzgBa90HrzglQZe8IJXOg9e8EoDL3jBK50HL3ilgRe84JXOgxe80sALXvBK58ELXmngBS94pfPgBa808IIXvNJ5X7xHt2zOpq1bs/pjvm1cnt3t+LY9c35LU84nAF5x8cW7r9LFUjmfAHjFgddu4M3LPR888NoNvHm554MHXruBNy/3fPDAazfw5uWeD55VvKm1ubdxvc8FVdoORVXlfAAbasJtALzi+uHdok3HyarDbQC84sAbOvBKA6964JUGXvXAKw286oFXmgDvoRXLr7ZiZcYbS7QdONnSkCsEbw7VaG+7wFoccoXgzSHw2g280sCrHnilgVc98EoDr3rgleaL99hS7aXS7ywTKBq8Tdqbo8qkZQLgpchKWiYAXoqspGUC4KXISlomAF6KrKRlAkWD94j25ijLp+yAd0AN2pujyirLBMBLkQXe4MAb48AbHHhjHHiDA2+MW3HQp7oTIgJFg7dOe3MU0H4RgaLBW6u9Hwoo8wvzgHdA4I1z4PUCr5OB1wu8TgZeL/A62T4RgaLBu197PxTQNhGBosGb0t4PBQReL/A6GXi9wOtk4PUCr5OB1wu8TpYUESgavHu190MBbRARAC/FoPUiAuClGAReL/A6GXi9wOtk4PWq37Z58NZq74cCWpaxqfcz17YtaNmFhrdaew1kt+aAZYOXYh14ydnAS84GXnK2YsK7TPuwyW5NAcsuNLyLtQ+b7HYkYNngpVgHXnI28JKzgZecDbzkbOAlZ7OB9/tlZaXjyypMxfiyCZOf7uwpPZv+zV++bMrHl5WVTQIv5SlLH3knNaV/qDhkzMkHF1zF25TdR959b84/mg0+8FK/bOM1L7+cK963EonEbdl832TwUr8s4+1rfGxrjnibP5PGmxifBT7wUr+s4p1YPrH0RdP/Me/M9K+bx4wZ87zf6F7PbuKGLG4kbOAtsNr8d911+eecPvIenJYa+JH33Pz583e1XehtG6wjF/GOHfSy/nVn8WeCAm+Bddx/12cFeI15annf1xrTP8/5dbaPeSd7eH+Rxf/2edhA/bL+F7YXf22enn2md8fkg9niPfrvdz0wLxt84KV+Wcf77ndN+4vfmPTYFmPKJ5anq///8GYdeKlf/AsbORt4ydnAS84GXnI28JKzgZecDbzkbMWEd4n2YZPdGgOWXWh4V2kfNtmtmL5iDl/uqcACLzkbeMnZwEvOVkx412sfNlltyfGAZRca3u7W5sHbrb0GCmhdxqbaM9d2ImjZhYaXb2XlZHwrKy/wOhl4vcDrZOD1Aq+TgdfLF+8+7f1QQJtEBIoGb0p7PxRQ5ndpBe+AwBvnwOsFXicDrxd4nQy8XuB1MvB6+eKt1d4PBbRLRAC8FINSIgLgpRgEXi/wOhl4vcDrZOD1Aq+TgdfLF2+D9n6ocskGnzZmfnUG8A4IvPpVWSYAXoos8AYH3hgH3uDAG+PAGxx4Yxx4g/PF26S9Oar8rWUC4KXISlomAF6KrKRlAuClyEpaJgBeiqykZQLgpchKWiZQNHhb9u3xabP2TgusxX4HvSfo+0tICBQPXt9qtLddYC0OuULw5hB47QZeaeBVD7zSwKseeKUJ8PIVHewGXmkCvCf2p662vyHjjXXaDpwsu6ff+AdeaSc7Mt7You3AyarDbQC84sAbOjW8K660GbzgFaWGd2i6IYnEkMQ1U8ALXlGaDxsW3ri0o3PFLe+Ct2WrtgMnWxduA6Hw/tkC78fK28HbcuJQzh0+0+Rzye+0UYnamfMJnAi5gVB4r13j/bj+E+AVzZtWn0vc/I4uKZ/3xr+OnnAnGArv391z1pjW++4Br2gevJp4a64ffu+9141KgVc0D15NvKZt7ozvvNIusQte8CrjPbXwGbP7Anhl87543fwylXU5n4Aq3tT1oxNm3G114BXN++JtOdacTadOZfXH/Oc7j4e7grbM+WO5n4Aq3vsn95SYE18eD17RvD/e7GoNO29OhruCjrDzmng/vsmUGLN6OHhF8+DVxDt6tYd35WfBK5oHrybeB+88VWJ2fu5h8IrmwauJ9/SdH0kMT0wQfa4MvODV/VRZ38bX5ov+iQK84NXEm7waeEXz4FXDm7gaeEXz4FXD23018IrmwcvDBmngLV68PGwAr7N4edgAXmfxevGssjDz4OVZZdLAW9R4eVZZqHnw8qwyaeAtarw8qyzUPHh5Vpk08BY1Xp5VFmoevDyrTBp4ixpv5w+mGXPPjPPgFc2DVxPvo59+yZg3/2QGeEXz4NXEO/IN78d3PgNe0Tx4NfF+coP34+brwCuaB68m3on3nTamtfQfwCuaB68m3ubbh469Y9gth8Ermgev6qfKet6b/ZO3uyR2wQteZbznD3jVglc0D15NvL/5g4svpPhD8IrmwauJ96YfNWReAt7c5sGrifdG0QuAwHt5HryaeL8qeg0FeC/Pg1cT74Y7f161Lh14RfPg1cRbcjnwiubBq/qpshCBF7wxwLvjK+AVzYNXE+/7XxyR7qM8t0E2D15NvF/60huffvXlPzoAXtE8eDXxDl1lvrHQ/PdE8IrmwauJ99qV5rnvmQMjwCuaB68m3rvvOrj65o5fjQRvQI0HfaprafC7KLsaMud31uQ+31KX+402Z7xrTuOt+cJ/dv31NYkfgzegldrfVtVuWzPeNafxGtNr2itX94E3oALDuyXjXXMaLy99zyLw+sZL38UJ8J7IfJBYdzSrB4nLtbnZbX3Gu3Y0u8fMh/2Ok5e+ixPgTWnTcbJFft8Qnpe+ixPgrdF24GbNPsfJS9/FgTeqYom3UF/6fuSQTzu0GbhZrc9xnjgXcoW89H1AzYu0t10srQ25Qp7PO6Am7Z0WTdUhVwjeAYE3qsArDbzqrWr067hlAkWD97D2Tqlyu2UCRYO3QXtzVJm0TAC8FFlJywTAS5GVtEygaPDWa2+Osvw8BHgHVKu9OaqsskwAvBRZ4A0OvDFuZbNP/Z5eCd4BHdDeHAVUKyJQNHh5ynmcS4kIgJdiEHi9ult9HlbxlPM4B16vDdprIEk7RAQKDW+19hpI0jYRAfBSDAKvF3idDLxeS7TXQFZbGvQE9kLDu1j7tMlufq+w9wIvxTrwkrMVE16+OkOB1RSwbPBSrDsSsGzwUqwDLzlbMeHVPmuynO8XsW4BL8W8+oBlg5diHXjJ2cBLzlYXsGzwUqw7GLBs8FKsAy85G3jJ2Q4ELBu8FOtSAcsGL8U68JKzgZecDbzkbHsDlg1einXgJWcDLzkbeMnZdgUsG7wU68BLzgZecjbwkrPtCFg2eCnWgZecDbzkbCHxlo8vKyt7wvRMeyT9Rntpz8XfPPTDiq8/c/ryhZPAS3kqLN6miz/teHjSkSt4e7656Hzn3CevXAheyk928M5559l5V/Aem9BtzNk54KU8ZwVvz9SW5CNX8Pb903/s7M6Qbczpxx9/fElnT19nuHpDzmufNVmuxn/X7dng9R7WprZ+33RPPnLlMe+ZVx8q/1nz5Qtnpn/jg2nTps3r7u3rDlfYee2zJsul/Hd9PuuPvM9OnD59/LwreNM1zyk/y8MGym82HjZcmPyBMZse+RDvmp96jx2+vge8lN9s4N38L+kfOsqOXMb7QUV119mqae3gpfxmA+/Tb3q/nDWvvfSr5eXlu83eJyZV/HB/+sKJ6TfL68FL+Yl/YSNnAy85G3jJ2cBLzrYzYNngpVjHKynI2cBLzgZecrY9AcsGL8U6vmIOORt4ydnAS862L2DZ4KVYx1dGJ2cDLzkbeMnZ+CaC5Gx8+1ZyNvCSs4GXnK02YNngpVhXH7Bs8FKsAy85G3jJ2RoCll1oeBdpHzbZ7UjAssFLsQ685GzgJWc7GrDsQsO7WPuwyW7NAcsGL8U68JKzFRPeJdqHTVZbdDxg2YWGd5X2aZOkLY1XO5Px68agD7wFh7daew0kaZuIAHgpBoHXa432GkjSdhGBQsPbebJx8PZo74cCynyNcPHi7Tnvc0FKez8UEHi9wOtk4PXyxbtfez8UUOZXZwDvgGq190OVKw751O8Z5+AdEHj1q7JMALwUWeANzhdvnfbmqHKVZQJFg7dBe3NUucUyAfBSZCUtEwAvRVbSMgHwUmRttUygaPA2aW+uaFp50K/AJ+cKCICXLFcdcoXgHRB4owq80nzxNmvvtGhaE3KF4B1YbcqnpPa23Wyvz3E2nAm5QvDmUI02Azfz+9tXR0+4DYI3l8ArCrwh7vngCfDyNHVR4A1xzwdPgPdE5iO2/Q1+D437tUybjt3WZT5m3Z/VCfh+lx7wihPg7dfJjqz+2EptbnbLfMZMx8lwJwheceCVBN5iwlulzc1uyYx3DbwR3PPBiwhv/R6f9jak/C7KrlTm/KZtuc837M39Rhsz3jXwRnDPBy8ivP7zpjXcFbSGnTdh8YE3//d88MALXvBK58ELXmngBS94pfPgBa808IIXvNJ58IJXGnjBC17pPHjBKw284AWvdB684JUGXvCCVzoPXvBKAy94wSudBy94pYEXvOCVzoMXvNLAC17wSufBC15p4AUveKXz4AWvNPCCF7zSefCCVxp4wQte6Tx4wSsNvOAFr3QevOCVBl7wglc6D17wSgMveMErnQcveKWBF7zglc6DF7zSwAte8ErnwQteaeAFL3il8+B1Fa+pesvSFUn71Rrd2z/3/EHdO5B6/rzuHVgVOQFbeJ+cbOmKpE34L93bbxlTpXsHlo05rXsHfvq1qG8RvJYCL3jFgRe80k4ft3RF0o6d0b393kblh5znGnt170D0BGzhJYo88JKzgZeczRLe7Q9Pf6HbzlWJeqy0tHSu3s13P9huNA/h0u3rHcKKByt+3Bz9AdjBe64i1TXrf61clawpZ7u6etRufcnM0nbNQ7h0+3qH0DjxaOer/xr9AdjBu3aWMdtmWrkqUW3T9G473c6N49s1D+HS7esdwtYXjDk8PfoDsIN3wYvp//y+aeWqRB2Y+uikHzXr3b4pa9c9BO/2VQ/hwlNzoz8AS3hfSt/tf7RyVaIOvdna/rriR/5LeBUPwbt9xUPoW//Q//REfwCWHjb8mzHvf8/KVYnq7DLm1MQ+vTvg4dE8BO/29Q6h77knGo3CAVj6C9vUxr7Z71q5KlFVM850zJuld/sX8Wgegnf7eoew+bELPT090R+ApU+Vbfvnb/1c8VNlfa9Pmzr7lN7tX8SjeQje7esdwmul6SqiPwD+kYKcDbzkbOAlZwMvORt4ydnAS84GXnI28JKzgTeaStYN8ptDVwRfTsGBN5rAm4fAG01yvJ21+bg/BRF489V7f/6xG5415lj5iOsf7TQl79w/7KbfGHP6W3987QP7jdl397DPL8zEe/ny41NGjqo4btoSu4ypSZw2Je+N+IriOxHvwJunGn5/5ubZid/23H7fhtc/9QNTMvrtXdM/1tl3599Wb5o06lTb9Xevnn/DkAy8ly7v/cuxq6rHjum9ivfWX9QpvhfxDrx5anmi3vS9fbBy6CljXppuSp40pjZRv/EjJ43pHr1w7vCzxixJZOC9dPmqkgZjDv3e6qt4n1J8H+IeePNU6xeHTv3lOTN77KU3S5Yb05yofy1Rki7xzIx707/XkYn30uUv3Oy9cdNLV/Eu07jzjgTefNW39qE/HbH4J3dcesv7C1ka5/zrLr35HQ9v55D+f2FLXz7nFu+Nm+dcxLvdw8tnIfwDb56qTv//vveB8W8PazXmrbs/xLkvsdOYE+N2v/LJ9G+vTAzAu6LkiDGHS6raEmuNeQW8wYE3Ty0b8tyOd2+a1XXzuC0Lbvj2hzjNhNur1nz51gvto+7bsOjWawbg7f3CHevX/c1f9PZ96v5dKz4P3uDAm6f6fnbjRz/73S7TMG74qG+fv4K3/aHRw8bVGpO6e9jnFkzZfOWPf3j5sUkjR045bszS2z5+1+6/agVvUOAlZwMvORt4NVvz95d7Q/ueOBl4ydnAS84GXnI28JKzgZecDbzkbOAlZwMvOdv/ATQXdDs76nOEAAAAAElFTkSuQmCC)
5.
The facted histograms are printed in the reverse order of the violin plots. I would be good to have the vertical scales the same.
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes(x = cancelled, y = sched_hour)) +
geom_violin() +
coord_flip()
![](data:image/png;base64,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)
flights %>% mutate(
cancelled = is.na(dep_time),
sched_hour = sched_dep_time %/% 100,
sched_min = sched_dep_time %% 100
) %>%
ggplot(aes( x = sched_hour )) +
geom_histogram() +
facet_wrap(~ cancelled, nrow = 2)
![](data:image/png;base64,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)
6.
default |
jitters the point horizontally |
tukey |
jitters more |
tukeyDense |
jitters but less than tukey |
frowney |
jitters downward |
smiley |
jitters upward |
library(ggbeeswarm)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_beeswarm()
![](data:image/png;base64,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)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_quasirandom()
![](data:image/png;base64,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)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_quasirandom(method = "tukey")
![](data:image/png;base64,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)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_quasirandom(method = "tukeyDense")
![](data:image/png;base64,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)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_quasirandom(method = "frowney")
![](data:image/png;base64,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)
mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
geom_quasirandom(method = "smiley")
![](data:image/png;base64,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)
---
title: 'Stat. 450 Section 1 or 2: Homework 5'
output:
  word_document: default
  html_notebook: default
  pdf_document: default
  html_document:
    df_print: paged
---

**Prof. Eric A. Suess**

So how should you complete your homework for this class?

- First thing to do is type all of your information about the problems you do in the text part of your R Notebook.
- Second thing to do is type all of your R code into R chunks that can be run.
- If you load the tidyverse in an R Notebook chunk, be sure to include the "message = FALSE" in the {r}, so {r message = FALSE}.
- Last thing is to spell check your R Notebook.  Edit > Check Spelling... or hit the F7 key.

Homework 5:

     Read: Chapter 7
     Do 7.3.4 Exercises 1, 2, 3, 4
     Do 7.4.1 Exercises 1, 2
     Do 7.5.1.1 Exercises 2, 3, 4, 5, 6

```{r message=FALSE}
library(tidyverse)
```


# 7.3.4

## 1.

All are skewed to the right.  The distributions of x and y are very similar.  The distributions of z looks to be less spread out.  All look to be bimodal.

I think x and y are the length and width, and z is the depth.

```{r}
diamonds

diamonds %>% select(x,y,z) %>%
  ggplot(aes(x = x )) +
  geom_histogram() +
  scale_x_continuous(limits=c(0, 10)) +
  scale_y_continuous(limits=c(0, 15000))

diamonds %>% select(x,y,z) %>%
  ggplot(aes(x = y )) +
  geom_histogram() +
  scale_x_continuous(limits=c(0, 10)) +
  scale_y_continuous(limits=c(0, 15000))

diamonds %>% select(x,y,z) %>%
  ggplot(aes(x = z )) +
  geom_histogram() +
  scale_x_continuous(limits=c(0, 10)) +
  scale_y_continuous(limits=c(0, 15000))
```



## 2.

There are not prices around $1500.

The mode of the distributions is around $750.

At the lowest levels there are spikes in the prices where the diamonds are actually priced.

```{r}
diamonds %>% select(price) %>% 
  ggplot(aes(x = price )) +
  geom_histogram() 

diamonds %>% select( price ) %>% 
  filter(price < 2500) %>%
  ggplot(aes(x = price )) +
  geom_histogram() 

diamonds %>% select( price ) %>% 
  filter(price < 2500) %>%
  ggplot(aes(x = price )) +
  geom_histogram(binwidth = 10, center = 0 ) 

diamonds %>% select( price ) %>% 
  filter(price < 900, price > 800) %>%
  ggplot(aes(x = price )) +
  geom_histogram(binwidth = 01, center = 0 ) 
  
```


## 3.

There are 23 diamonds that are .99 carats and there are 1558 diamonds that are 1 carat.  Rounding up is worth more money.

```{r}
diamonds %>% select(carat) %>% 
  count(carat == 0.99)

diamonds %>% select(carat) %>% 
  count(carat == 1)

diamonds %>%
   filter(carat >= 0.9, carat <= 1.1) %>%
   count(carat) 

diamonds %>%
   filter(carat >= 0.9, carat <= 1.1) %>%
   count(carat) %>%
   ggplot(aes(x= carat, y = n)) +
   geom_col()

```


## 4.

The *cood_cartesian* function zooms in on the original histogram.

The *xlim* and *ylim* functions limits the range of the data before counting.  So the histogram is made for a subset of the data.

```{r}
diamonds %>% select(price) %>% 
  ggplot(aes(x = price )) +
  geom_histogram() 

diamonds %>% select(price) %>% 
  ggplot(aes(x = price )) +
  geom_histogram() +
  coord_cartesian(xlim = c(0, 5000), ylim = c(0, 10000))

diamonds %>% select(price) %>% 
  ggplot(aes(x = price )) +
  geom_histogram(binwidth = 100) +
  coord_cartesian(xlim = c(0, 5000), ylim = c(0, 10000))

diamonds %>% select(price) %>% 
  ggplot(aes(x = price )) +
  geom_histogram(binwidth = 100) +
  xlim(0, 5000) +
  ylim(0, 10000)
```

# 7.4.1

## 1.

For histograms missing data is removed.

For bargraphs the NAs are considered another category.


## 2.

The option *na.rm* in the *mean* and *sum* functions remove the NAs before the values of the functions are computed.  NAs are not numeric values so they cannot be included in a sum calculation.

# 7.5.1.1

## 1.

The cancelled flights tend to occur later in the day, but have a wider range of scheduled departure hour.

```{r}
library(nycflights13)

flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes(x = cancelled, y = sched_hour)) +
  geom_boxplot() + 
  coord_flip()
```


## 2.

The most important variable is carat.

```{r}
diamonds %>% select (price, carat, depth, table, x, y , z) %>%
  cor()

diamonds %>% select (price, carat, depth, table, x, y , z) %>%
  ggplot(aes(x = carat, y = price)) +
  geom_point()

diamonds %>% ggplot(aes(x = carat, y = price)) +
  geom_boxplot(aes(group = cut_width(carat, 0.1)))
```

Examining the caregorical variables.

Weak positive relationship of price with color.

Weak neagative relationship of price with clarity and cut.

```{r}
diamonds %>% ggplot( aes(x = color, y = price)) +
  geom_boxplot()

diamonds %>% ggplot(aes(x = clarity, y = price)) +
  geom_boxplot()

ggplot(diamonds, aes(x = cut, y = carat)) +
  geom_boxplot()

```


## 3.

Looks the same, but x and y need to be switched for the boxploth()

```{r}
flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes(x = cancelled, y = sched_hour)) +
  geom_boxplot() + 
  coord_flip()

library(ggstance)

flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes(y = cancelled, x = sched_hour)) +
  geom_boxploth()

```




## 4.

The boxes in the lvplot correspond to percentiles, every 10%.

Outliers are in the direction of the thinner percentiles.

```{r}
library(lvplot)

diamonds %>% select(price, cut) %>%
  ggplot(aes(x = cut, y = price)) +
  geom_lv() + 
  coord_flip()

flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes(x = cancelled, y = sched_hour)) +
  geom_lv() + 
  coord_flip()
```

## 5.

The facted histograms are printed in the reverse order of the violin plots.  I would be good to have the vertical scales the same.


```{r}
flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes(x = cancelled, y = sched_hour)) +
  geom_violin() + 
  coord_flip()

flights %>% mutate(
  cancelled = is.na(dep_time),
  sched_hour = sched_dep_time %/% 100,
  sched_min  = sched_dep_time %% 100
  ) %>%
  ggplot(aes( x = sched_hour )) +
  geom_histogram() +
  facet_wrap(~ cancelled, nrow = 2) 

```

## 6.

method | description
-------|------------
default | jitters the point horizontally
tukey   | jitters more
tukeyDense | jitters but less than tukey
frowney | jitters downward
smiley  | jitters upward


```{r}
library(ggbeeswarm)

mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_beeswarm()

mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_quasirandom()

mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_quasirandom(method = "tukey")

mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_quasirandom(method = "tukeyDense")


mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_quasirandom(method = "frowney")

mpg %>% ggplot(aes(x = reorder(class, hwy, FUN = median),y = hwy) ) +
  geom_quasirandom(method = "smiley")

```



