{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Homework 2 notes\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## General remarks\n",
    "\n",
    "### Use relative paths\n",
    "\n",
    "### Use Markdown effectively to communicate structure of the document\n",
    "\n",
    "General text\n",
    "\n",
    "### File naming convention\n",
    "\n",
    "From the next HW we will use the naming convention `BIOE806-HW03-FirstnameLastname.zip`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Final project\n",
    "\n",
    "Your project should be challenging, but approachable this semester.  You need to have the\n",
    "data in hand by the end of this month, and I should be able to see the data as I will run\n",
    "your code to generate your final report."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Creating a factor from a numeric variable\n",
    "\n",
    "### Read in the data; report the types of all variables.\n",
    "\n",
    "We first read in the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 15</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>ID</th><th scope=col>sex</th><th scope=col>Age</th><th scope=col>BMI</th><th scope=col>SBP</th><th scope=col>DBP</th><th scope=col>FBG</th><th scope=col>TC</th><th scope=col>Cr</th><th scope=col>GFR</th><th scope=col>UA</th><th scope=col>Times</th><th scope=col>hypertension</th><th scope=col>hyperglycemia</th><th scope=col>dyslipidemia</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>2</td><td>79</td><td>24.35</td><td>132</td><td>83</td><td>6.20</td><td>4.65</td><td>54</td><td>116.182</td><td>284</td><td>1</td><td>1</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>1</td><td>2</td><td>81</td><td>25.24</td><td>136</td><td>85</td><td>6.09</td><td>4.97</td><td>95</td><td> 57.605</td><td>208</td><td>2</td><td>1</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>1</td><td>2</td><td>83</td><td>23.43</td><td>120</td><td>86</td><td>6.16</td><td>4.92</td><td>66</td><td> 89.899</td><td>230</td><td>3</td><td>1</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>1</td><td>2</td><td>85</td><td>24.70</td><td>144</td><td>80</td><td>6.24</td><td>5.15</td><td>50</td><td>126.093</td><td>199</td><td>4</td><td>2</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>2</td><td>2</td><td>63</td><td>27.27</td><td>120</td><td>73</td><td>5.37</td><td>4.08</td><td>63</td><td>100.027</td><td>247</td><td>1</td><td>1</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>2</td><td>2</td><td>65</td><td>25.92</td><td>120</td><td>74</td><td>5.25</td><td>4.74</td><td>74</td><td> 81.554</td><td>326</td><td>2</td><td>1</td><td>1</td><td>1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 15\n",
       "\\begin{tabular}{r|lllllllllllllll}\n",
       "  & ID & sex & Age & BMI & SBP & DBP & FBG & TC & Cr & GFR & UA & Times & hypertension & hyperglycemia & dyslipidemia\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <int> & <int> & <dbl> & <dbl> & <int> & <dbl> & <int> & <int> & <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 2 & 79 & 24.35 & 132 & 83 & 6.20 & 4.65 & 54 & 116.182 & 284 & 1 & 1 & 1 & 1\\\\\n",
       "\t2 & 1 & 2 & 81 & 25.24 & 136 & 85 & 6.09 & 4.97 & 95 &  57.605 & 208 & 2 & 1 & 1 & 1\\\\\n",
       "\t3 & 1 & 2 & 83 & 23.43 & 120 & 86 & 6.16 & 4.92 & 66 &  89.899 & 230 & 3 & 1 & 1 & 1\\\\\n",
       "\t4 & 1 & 2 & 85 & 24.70 & 144 & 80 & 6.24 & 5.15 & 50 & 126.093 & 199 & 4 & 2 & 1 & 1\\\\\n",
       "\t5 & 2 & 2 & 63 & 27.27 & 120 & 73 & 5.37 & 4.08 & 63 & 100.027 & 247 & 1 & 1 & 1 & 1\\\\\n",
       "\t6 & 2 & 2 & 65 & 25.92 & 120 & 74 & 5.25 & 4.74 & 74 &  81.554 & 326 & 2 & 1 & 1 & 1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 15\n",
       "\n",
       "| <!--/--> | ID &lt;int&gt; | sex &lt;int&gt; | Age &lt;int&gt; | BMI &lt;dbl&gt; | SBP &lt;int&gt; | DBP &lt;int&gt; | FBG &lt;dbl&gt; | TC &lt;dbl&gt; | Cr &lt;int&gt; | GFR &lt;dbl&gt; | UA &lt;int&gt; | Times &lt;int&gt; | hypertension &lt;int&gt; | hyperglycemia &lt;int&gt; | dyslipidemia &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | 1 | 2 | 79 | 24.35 | 132 | 83 | 6.20 | 4.65 | 54 | 116.182 | 284 | 1 | 1 | 1 | 1 |\n",
       "| 2 | 1 | 2 | 81 | 25.24 | 136 | 85 | 6.09 | 4.97 | 95 |  57.605 | 208 | 2 | 1 | 1 | 1 |\n",
       "| 3 | 1 | 2 | 83 | 23.43 | 120 | 86 | 6.16 | 4.92 | 66 |  89.899 | 230 | 3 | 1 | 1 | 1 |\n",
       "| 4 | 1 | 2 | 85 | 24.70 | 144 | 80 | 6.24 | 5.15 | 50 | 126.093 | 199 | 4 | 2 | 1 | 1 |\n",
       "| 5 | 2 | 2 | 63 | 27.27 | 120 | 73 | 5.37 | 4.08 | 63 | 100.027 | 247 | 1 | 1 | 1 | 1 |\n",
       "| 6 | 2 | 2 | 65 | 25.92 | 120 | 74 | 5.25 | 4.74 | 74 |  81.554 | 326 | 2 | 1 | 1 | 1 |\n",
       "\n"
      ],
      "text/plain": [
       "  ID sex Age BMI   SBP DBP FBG  TC   Cr GFR     UA  Times hypertension\n",
       "1 1  2   79  24.35 132 83  6.20 4.65 54 116.182 284 1     1           \n",
       "2 1  2   81  25.24 136 85  6.09 4.97 95  57.605 208 2     1           \n",
       "3 1  2   83  23.43 120 86  6.16 4.92 66  89.899 230 3     1           \n",
       "4 1  2   85  24.70 144 80  6.24 5.15 50 126.093 199 4     2           \n",
       "5 2  2   63  27.27 120 73  5.37 4.08 63 100.027 247 1     1           \n",
       "6 2  2   65  25.92 120 74  5.25 4.74 74  81.554 326 2     1           \n",
       "  hyperglycemia dyslipidemia\n",
       "1 1             1           \n",
       "2 1             1           \n",
       "3 1             1           \n",
       "4 1             1           \n",
       "5 1             1           \n",
       "6 1             1           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dryadFileDownload <- function(filenum,filename,baseurl=\"https://datadryad.org/api/v2\")\n",
    "{\n",
    "    download.file(paste(baseurl,\"/files/\",filenum,\"/download\",sep=\"\"),filename,mode=\"wb\")\n",
    "}\n",
    "## make a temporaty filename with csv extension\n",
    "tmpfile <- tempfile(fileext=\"csv\")\n",
    "## download that file\n",
    "dryadFileDownload(\"2545788\",tmpfile)\n",
    "## read in the file\n",
    "uric <- read.csv(tmpfile)\n",
    "# examine first few lines\n",
    "head(uric)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the types of the variables."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate the quintiles of DBP using the quantile command. Quintiles are the 20th, 40th, 60th and 80th percentiles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yVCUSIkY7BEKEqEZAyWCEWJkIzBEqEo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\nCVCAkAAF/h/351ebPsZsmwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist(uric$DBP,main=\"\",xlab=\"diastolic blood pressure (mm of Hg)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0%  20%  40%  60%  80% 100% \n",
      "  36   68   73   78   82  116 \n"
     ]
    }
   ],
   "source": [
    "( dbpQuantiles <- quantile(uric$DBP,prob=c(0,20,40,60,80,100)/100) ) |> print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".dl-inline {width: auto; margin:0; padding: 0}\n",
       ".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",
       ".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",
       ".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n",
       "</style><dl class=dl-inline><dt>0%</dt><dd>36</dd><dt>20%</dt><dd>68</dd><dt>40%</dt><dd>73</dd><dt>60%</dt><dd>78</dd><dt>80%</dt><dd>82</dd><dt>100%</dt><dd>116</dd></dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[0\\textbackslash{}\\%] 36\n",
       "\\item[20\\textbackslash{}\\%] 68\n",
       "\\item[40\\textbackslash{}\\%] 73\n",
       "\\item[60\\textbackslash{}\\%] 78\n",
       "\\item[80\\textbackslash{}\\%] 82\n",
       "\\item[100\\textbackslash{}\\%] 116\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "0%\n",
       ":   3620%\n",
       ":   6840%\n",
       ":   7360%\n",
       ":   7880%\n",
       ":   82100%\n",
       ":   116\n",
       "\n"
      ],
      "text/plain": [
       "  0%  20%  40%  60%  80% 100% \n",
       "  36   68   73   78   82  116 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dbpQuantiles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Use the cut command to make a factor variable from DBP. Label them q1 through q5. There should be five categories. Use the table command to tabulate this variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dbpQuintileFactor <- cut(uric$DBP,breaks=dbpQuantiles,\n",
    "                        labels=paste(\"q\",1:5,sep=\"\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dbpQuintileFactor\n",
       "  q1   q2   q3   q4   q5 \n",
       "5262 5400 5438 4853 4788 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(dbpQuintileFactor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "uric$dbpQuintileFactor <- dbpQuintileFactor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Perform linear regression of SBP on the quantile categories of DBP. Is the association positive or negative?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = SBP ~ dbpQuintileFactor, data = uric)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-42.244  -8.099  -0.330   7.670  73.272 \n",
       "\n",
       "Coefficients:\n",
       "                    Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)         117.7281     0.1611  730.85   <2e-16 ***\n",
       "dbpQuintileFactorq2   4.2357     0.2263   18.71   <2e-16 ***\n",
       "dbpQuintileFactorq3   8.3705     0.2260   37.05   <2e-16 ***\n",
       "dbpQuintileFactorq4  10.6018     0.2326   45.59   <2e-16 ***\n",
       "dbpQuintileFactorq5  17.5161     0.2334   75.06   <2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 11.68 on 25736 degrees of freedom\n",
       "  (3 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.2003,\tAdjusted R-squared:  0.2002 \n",
       "F-statistic:  1612 on 4 and 25736 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "( out1 <- lm(SBP~dbpQuintileFactor,data=uric) ) |> summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the relevel command, make the middle quintile (q3) the reference category. In many situations, it is more natural to have the middle category as the reference. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "uric$dbpQuintileFactor <- relevel(uric$dbpQuintileFactor, ref=\"q3\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Repeat the linear regression, and explain the new regression coefficients using the previous regression output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = SBP ~ dbpQuintileFactor, data = uric)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-42.244  -8.099  -0.330   7.670  73.272 \n",
       "\n",
       "Coefficients:\n",
       "                    Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)         126.0986     0.1585  795.80   <2e-16 ***\n",
       "dbpQuintileFactorq1  -8.3705     0.2260  -37.05   <2e-16 ***\n",
       "dbpQuintileFactorq2  -4.1349     0.2245  -18.42   <2e-16 ***\n",
       "dbpQuintileFactorq4   2.2313     0.2307    9.67   <2e-16 ***\n",
       "dbpQuintileFactorq5   9.1456     0.2316   39.49   <2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 11.68 on 25736 degrees of freedom\n",
       "  (3 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.2003,\tAdjusted R-squared:  0.2002 \n",
       "F-statistic:  1612 on 4 and 25736 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "( out2 <- lm(SBP~dbpQuintileFactor,data=uric) ) |> summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (Optional) Repeat the above steps by dividing the range of DBP into equal sized bins (instead of quintiles). The width of the bins will be the same, but the number of individuals in the bins will vary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "uric$dbpCatFactor <- cut(uric$DBP,breaks=seq(min(uric$DBP),max(uric$DBP),by=10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "  (36,46]   (46,56]   (56,66]   (66,76]   (76,86]   (86,96]  (96,106] (106,116] \n",
       "       43       470      3406     10026      9534      2093       153        16 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(uric$dbpCatFacto)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = SBP ~ dbpCatFactor, data = uric)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-39.101  -8.158  -0.158   7.568  73.899 \n",
       "\n",
       "Coefficients:\n",
       "                      Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)            115.721      1.785  64.824  < 2e-16 ***\n",
       "dbpCatFactor(46,56]     -0.272      1.865  -0.146    0.884    \n",
       "dbpCatFactor(56,66]      1.380      1.796   0.768    0.442    \n",
       "dbpCatFactor(66,76]      7.169      1.789   4.007 6.16e-05 ***\n",
       "dbpCatFactor(76,86]     13.437      1.789   7.510 6.11e-14 ***\n",
       "dbpCatFactor(86,96]     21.712      1.803  12.039  < 2e-16 ***\n",
       "dbpCatFactor(96,106]    31.155      2.021  15.419  < 2e-16 ***\n",
       "dbpCatFactor(106,116]   38.217      3.428  11.148  < 2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 11.71 on 25733 degrees of freedom\n",
       "  (3 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.1975,\tAdjusted R-squared:  0.1973 \n",
       "F-statistic: 904.9 on 7 and 25733 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "( out3 <- lm(SBP~dbpCatFactor,data=uric) ) |> summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "sbpMean <- tapply(uric$SBP,uric$dbpCatFactor,mean) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "sbpSD <- tapply(uric$SBP,uric$dbpCatFactor,sd)\n",
    "sbpN <- tapply(uric$SBP,uric$dbpCatFactor,length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘Hmisc’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    format.pval, units\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(Hmisc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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i1phLR6/6IHFs28wHqLl+QRUq5L/kTK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\ngJAAAUICBAgJECAkQOB/AfqA8nbRkh1CAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "errbar(seq(41,111,by=10),sbpMean,sbpMean+sbpSD/sqrt(sbpN),sbpMean-sbpSD/sqrt(sbpN),xlab=\"DBP\",ylab=\"SBP\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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plTPuS2svJVnaVL1w/wpHlRwY0TcxJfDFkjSYPRhw8EV+lgWhKPACKZACL5AL+K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MH69OjWQHpdatu6l54SE9mpCwu5bvVqqjHqGa9xtC1u/b6Vf1TK53736kwNbEAaTC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\nwABAJAAwgP8HaoDyATCtbXkAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(scales)\n",
    "library(hexbin)\n",
    "hexbin(uric$DBP,uric$SBP,xbins = 50) |>\n",
    "    gplot.hexbin(x=_,trans=sqrt,inv=\\(x) x^2,xlab=\"DBP\",ylab=\"SBP\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "outLoess <- loess(SBP~DBP,data=uric,span=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GWuL9pB/X3o42cf9ksk/ed/oXN39Te+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pxwBBMSzLAC9vQzdQoEjyFe//ACdCoJzI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\nQHW+oEOSCYiSTkDzZQ0f/ISNyLSJ4vh45wrjWztmYJ1kcD3ThlhGpylIn71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RzSRIU9FmdkevGe7dGfpNb2m+3Z5fbNUrsIevLPXXQEe6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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(uric$DBP,uric$SBP,col=alpha(\"grey\",0.2),pch=19,cex=1)\n",
    "lines(seq(50,100,by=5),predict(outLoess,newdata=data.frame(DBP=seq(50,100,by=5))))"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "formats": "ipynb,Rmd"
  },
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