Copied updates from jupyter lab branch
authorNeil Smith <neil.git@njae.me.uk>
Sat, 24 Feb 2018 22:28:31 +0000 (22:28 +0000)
committerNeil Smith <neil.git@njae.me.uk>
Sat, 24 Feb 2018 22:28:31 +0000 (22:28 +0000)
3dplot.ipynb [new file with mode: 0644]
plot_extensions.R

diff --git a/3dplot.ipynb b/3dplot.ipynb
new file mode 100644 (file)
index 0000000..3494384
--- /dev/null
@@ -0,0 +1,225 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "── Attaching packages ─────────────────────────────────────── tidyverse 1.2.1 ──\n",
+      "✔ ggplot2 2.2.1     ✔ purrr   0.2.4\n",
+      "✔ tibble  1.4.2     ✔ dplyr   0.7.4\n",
+      "✔ tidyr   0.8.0     ✔ stringr 1.2.0\n",
+      "✔ readr   1.1.1     ✔ forcats 0.2.0\n",
+      "── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──\n",
+      "✖ dplyr::filter() masks stats::filter()\n",
+      "✖ dplyr::lag()    masks stats::lag()\n"
+     ]
+    }
+   ],
+   "source": [
+    "library(tidyverse)\n",
+    "# library(cowplot)\n",
+    "library(repr)\n",
+    "library(ggfortify)\n",
+    "\n",
+    "# Change plot size to 4 x 3\n",
+    "options(repr.plot.width=6, repr.plot.height=4)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "source('plot_extensions.R')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "library(scatterplot3d)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "rubber <- read.csv('rubber.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "fit.hs <- lm(loss ~ hardness + strength, data = rubber)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAMAAAC7G6qeAAADAFBMVEUAAAABAQECAgIDAwME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\nImii/AWn+cPL2ZUhRgAAAABJRU5ErkJggg==",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "s3d <- scatterplot3d(x = rubber$hardness, y = rubber$strength, z = rubber$loss,\n",
+    "             xlab = 'Hardness', ylab = \"Strength\", zlab = \"Loss\",\n",
+    "             angle = 55, \n",
+    "             type='h')\n",
+    "s3d$plane3d(fit.hs, draw_polygon = TRUE)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "anaerobic <- read.csv('anaerob.csv')\n",
+    "anaerobic$oxy2 <- anaerobic$oxygen^2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th scope=col>ventil</th><th scope=col>oxygen</th><th scope=col>oxy2</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><td>-0.9722499</td><td>-1.607673 </td><td>-1.213737 </td></tr>\n",
+       "\t<tr><td>-1.0549252</td><td>-1.592968 </td><td>-1.210386 </td></tr>\n",
+       "\t<tr><td>-1.0549252</td><td>-1.534147 </td><td>-1.195947 </td></tr>\n",
+       "\t<tr><td>-1.0423986</td><td>-1.531696 </td><td>-1.195309 </td></tr>\n",
+       "\t<tr><td>-1.0398933</td><td>-1.490031 </td><td>-1.184031 </td></tr>\n",
+       "\t<tr><td>-1.0975155</td><td>-1.447549 </td><td>-1.171677 </td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|lll}\n",
+       " ventil & oxygen & oxy2\\\\\n",
+       "\\hline\n",
+       "\t -0.9722499 & -1.607673  & -1.213737 \\\\\n",
+       "\t -1.0549252 & -1.592968  & -1.210386 \\\\\n",
+       "\t -1.0549252 & -1.534147  & -1.195947 \\\\\n",
+       "\t -1.0423986 & -1.531696  & -1.195309 \\\\\n",
+       "\t -1.0398933 & -1.490031  & -1.184031 \\\\\n",
+       "\t -1.0975155 & -1.447549  & -1.171677 \\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "ventil | oxygen | oxy2 | \n",
+       "|---|---|---|---|---|---|\n",
+       "| -0.9722499 | -1.607673  | -1.213737  | \n",
+       "| -1.0549252 | -1.592968  | -1.210386  | \n",
+       "| -1.0549252 | -1.534147  | -1.195947  | \n",
+       "| -1.0423986 | -1.531696  | -1.195309  | \n",
+       "| -1.0398933 | -1.490031  | -1.184031  | \n",
+       "| -1.0975155 | -1.447549  | -1.171677  | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "  ventil     oxygen    oxy2     \n",
+       "1 -0.9722499 -1.607673 -1.213737\n",
+       "2 -1.0549252 -1.592968 -1.210386\n",
+       "3 -1.0549252 -1.534147 -1.195947\n",
+       "4 -1.0423986 -1.531696 -1.195309\n",
+       "5 -1.0398933 -1.490031 -1.184031\n",
+       "6 -1.0975155 -1.447549 -1.171677"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "anaerobic.n <- data.frame(scale(anaerobic))\n",
+    "head(anaerobic.n)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "fit.o2 <- lm(ventil ~ oxygen + oxy2, data = anaerobic.n)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAMAAAC7G6qeAAADAFBMVEUAAAABAQECAgIDAwME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",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "s3d <- with(anaerobic.n, scatterplot3d(x = oxygen, y = oxy2, z = ventil,\n",
+    "             xlab = 'Oxygen', ylab = \"Oxygen2\", zlab = \"Ventil\",\n",
+    "             angle = 205, \n",
+    "             type='h'))\n",
+    "s3d$plane3d(fit.o2, draw_polygon = TRUE)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.4.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
index b72ddb011aa504f9bacea80995732a2d1a1ef9de..11762c26704f75ae7ddd23907550287afacfb8c3 100644 (file)
@@ -51,7 +51,7 @@ require(ggplot2)
 
 ggplot(fit$model, aes_string(x = names(fit$model)[2], y = names(fit$model)[1])) + 
     geom_point() +
-    stat_smooth(method = "lm", col = "red") +
+    geom_smooth(method = "lm", col = "red") +
     labs(title = paste("Adj R2 = ",signif(summary(fit)$adj.r.squared, 5),
                      "Intercept =",signif(fit$coef[[1]],5 ),
                      " Slope =",signif(fit$coef[[2]], 5),