Files
cmdla/09-29/myscript.ipynb
2023-10-29 02:06:02 +01:00

332 lines
221 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "08d1226c-5a91-4675-84fe-34b299c3c82f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[13285.201849510713, -26578.19232421982, 9516.240080329559]\n"
]
}
],
"source": [
"using DelimitedFiles\n",
"# https://docs.julialang.org/en/v1/stdlib/DelimitedFiles/\n",
"\n",
"M = convert(Matrix{Int}, readdlm(\"salaries.csv\", ',', skipstart=1)[:, 2:end]);\n",
"\n",
"A = M[1:end, 1:3];\n",
"y = M[1:end, 4];\n",
"x = A \\ y;\n",
"\n",
"println(x)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e7b91a49-8da1-4637-9336-d33e089f82c3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"<path clip-path=\"url(#clip400)\" d=\"M221.211 198.898 L494.146 198.898 L494.146 95.2176 L221.211 95.2176 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
"<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"221.211,198.898 494.146,198.898 494.146,95.2176 221.211,95.2176 221.211,198.898 \"/>\n",
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"<path clip-path=\"url(#clip400)\" d=\"M431.058 166.745 Q429.252 171.375 427.539 172.787 Q425.826 174.199 422.956 174.199 L419.553 174.199 L419.553 170.634 L422.053 170.634 Q423.812 170.634 424.784 169.8 Q425.757 168.967 426.937 165.865 L427.701 163.921 L417.215 138.412 L421.729 138.412 L429.831 158.689 L437.933 138.412 L442.446 138.412 L431.058 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip400)\" d=\"M449.738 160.402 L457.377 160.402 L457.377 134.037 L449.067 135.703 L449.067 131.444 L457.331 129.778 L462.007 129.778 L462.007 160.402 L469.645 160.402 L469.645 164.338 L449.738 164.338 L449.738 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = sort(20 .* rand(1000) .- 10)\n",
"y = (0.02 .* x .^ 3) .- x .+ 1 + rand(1000)\n",
"\n",
"using Plots\n",
"# https://docs.juliaplots.org/latest/tutorial/\n",
"\n",
"plot(x, y)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "fafdd151-c5c4-494e-9793-60f45f49baff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4-element Vector{Float64}:\n",
" 0.020055886001898972\n",
" 8.201817529871014e-5\n",
" -1.001646828763499\n",
" 1.5016847772666466"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = hcat(x.^3, x.^2, x, ones(1000));\n",
"coefficients = A \\ y"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c01d514a-c7c0-4371-ac18-35cbed47d6c1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, [y, A*coefficients])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "427bb23c-0435-4c9c-8d45-6e912850c6d2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Vector{Float64}:\n",
" -1.3463569041275599e-15\n",
" 1.6972243622680054\n",
" 5.302775637731994"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = [2 0 1;0 1 1; 0 0 0; 0 0 0];\n",
"using LinearAlgebra # from stdlib\n",
"\n",
"eigvals(A' * A)"
]
}
],
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"kernelspec": {
"display_name": "Julia 1.9.3",
"language": "julia",
"name": "julia-1.9"
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"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
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