{
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  {
   "cell_type": "markdown",
   "id": "c9732844-1d4e-481b-ae78-5095ccd9dae3",
   "metadata": {},
   "source": [
    "# Linear regression and kNN\n",
    "\n",
    "A very simple example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1f8f6353",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Plots.PlotlyBackend()"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using MTH229\n",
    "using Plots\n",
    "plotly()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "faf22044",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "ac2821e3-f61e-4af1-9a64-56e8ec9140f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1:100"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z = 1:100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "42ffc860-d48c-446f-aa4b-901ca8fd9657",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100×2 Matrix{Float64}:\n",
       "  0.1    0.183918\n",
       "  0.2    0.585791\n",
       "  0.3    0.880719\n",
       "  0.4    0.278684\n",
       "  0.5    1.23289\n",
       "  0.6    0.922929\n",
       "  0.7    0.856184\n",
       "  0.8    1.50344\n",
       "  0.9    0.987492\n",
       "  1.0    1.18518\n",
       "  1.1    2.17805\n",
       "  1.2    2.10367\n",
       "  1.3    2.46386\n",
       "  ⋮    \n",
       "  8.9   79.233\n",
       "  9.0   81.4774\n",
       "  9.1   82.9121\n",
       "  9.2   85.5963\n",
       "  9.3   86.6852\n",
       "  9.4   89.3535\n",
       "  9.5   90.7751\n",
       "  9.6   92.3011\n",
       "  9.7   94.4571\n",
       "  9.8   97.0043\n",
       "  9.9   98.3516\n",
       " 10.0  100.206"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z = hcat(Z/10, (Z .^ 2)/100 + rand(Float64, 100) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "34b4d154-c0bd-41ff-9ac4-801f82497e03",
   "metadata": {},
   "outputs": [
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     "execution_count": 30,
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    "plot(Z[:,1], Z[:, 2], kind=\"scatter\", mode=\"markers\")"
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  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "073c3c83-4f9e-4e9d-8aea-ab9bfb5211c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "using DataFrames, GLM, StatsBase"
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   "execution_count": 34,
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       "\\begin{tabular}{r|cc}\n",
       "\t& X & Y\\\\\n",
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       "\t5 & 0.5 & 1.23289 \\\\\n",
       "\t6 & 0.6 & 0.922929 \\\\\n",
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       "\t20 & 2.0 & 4.05291 \\\\\n",
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       "\t28 & 2.8 & 8.05766 \\\\\n",
       "\t29 & 2.9 & 9.10394 \\\\\n",
       "\t30 & 3.0 & 9.23669 \\\\\n",
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       "─────┼─────────────────────\n",
       "   1 │     0.1    0.183918\n",
       "   2 │     0.2    0.585791\n",
       "   3 │     0.3    0.880719\n",
       "   4 │     0.4    0.278684\n",
       "   5 │     0.5    1.23289\n",
       "   6 │     0.6    0.922929\n",
       "   7 │     0.7    0.856184\n",
       "   8 │     0.8    1.50344\n",
       "   9 │     0.9    0.987492\n",
       "  10 │     1.0    1.18518\n",
       "  11 │     1.1    2.17805\n",
       "  ⋮  │    ⋮         ⋮\n",
       "  91 │     9.1   82.9121\n",
       "  92 │     9.2   85.5963\n",
       "  93 │     9.3   86.6852\n",
       "  94 │     9.4   89.3535\n",
       "  95 │     9.5   90.7751\n",
       "  96 │     9.6   92.3011\n",
       "  97 │     9.7   94.4571\n",
       "  98 │     9.8   97.0043\n",
       "  99 │     9.9   98.3516\n",
       " 100 │    10.0  100.206\n",
       "\u001b[36m            79 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = DataFrame(X=Z[:,1], Y=Z[:,2])"
   ]
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  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "cecc4f72-f889-47e6-875a-e5d74af3303f",
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    {
     "data": {
      "text/plain": [
       "StatsModels.TableRegressionModel{LinearModel{GLM.LmResp{Vector{Float64}}, GLM.DensePredChol{Float64, CholeskyPivoted{Float64, Matrix{Float64}, Vector{Int64}}}}, Matrix{Float64}}\n",
       "\n",
       "Y ~ 1 + X\n",
       "\n",
       "Coefficients:\n",
       "─────────────────────────────────────────────────────────────────────────\n",
       "                Coef.  Std. Error       t  Pr(>|t|)  Lower 95%  Upper 95%\n",
       "─────────────────────────────────────────────────────────────────────────\n",
       "(Intercept)  -16.6954    1.51706   -11.01    <1e-18  -19.7059    -13.6848\n",
       "X             10.0977    0.260807   38.72    <1e-60    9.58016    10.6153\n",
       "─────────────────────────────────────────────────────────────────────────"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "ols = lm(@formula(Y ~ X), data)"
   ]
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  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4c2e3246-0b3b-419b-918f-0234c000390e",
   "metadata": {},
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    {
     "data": {
      "text/plain": [
       "f (generic function with 1 method)"
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     "execution_count": 36,
     "metadata": {},
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    "f(x) = -16.6954 + 10.0977*x"
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   "execution_count": 37,
   "id": "35441b76-f74f-4252-a366-230c5ed9cce7",
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       "        });\n",
       "    }\n",
       "    let plotlyloader = window.document.createElement(\"script\")\n",
       "    let src=\"https://requirejs.org/docs/release/2.3.7/minified/require.js\"\n",
       "    plotlyloader.addEventListener(\"load\", plots_jl_plotly_id_92593032_3bf4_4b7c_876a_9ef21a8adb8d);\n",
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      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(Z[:,1], Z[:, 2], kind=\"scatter\", mode=\"markers\")\n",
    "plot!(B[:,1], B[:, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "557f91cd-0662-406a-bce3-8de8908c09b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100×2 Matrix{Float64}:\n",
       " 0.0001  0.00384945\n",
       " 0.0004  0.00514071\n",
       " 0.0009  0.00141694\n",
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       " 0.0121  0.0303662\n",
       " 0.0144  0.0466212\n",
       " 0.0169  0.045831\n",
       " ⋮       \n",
       " 0.7921  0.845012\n",
       " 0.81    0.839137\n",
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       " 1.0     1.10277"
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     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "source": [
    "(Z .^ 2)/100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f98380b3-46a7-4d11-a7c1-bbb9df325625",
   "metadata": {},
   "outputs": [],
   "source": []
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