31:[] 2f:{"title":"Simple Linear Regression","cells":[{"id":0,"value":"md`# Simple Linear Regression\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":156,"value":"md`\nAdjust the slope and intercept of the line to minimize the MSE.\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":65,"value":"mse = {\n const squares = dfMod.map(d=> Math.pow(d.y-d.yhat,2))\n const mse = Math.sqrt(squares.reduce((x,y)=>x+y))\n return html`

MSE = ${mse}

`\n }","pinned":false,"hidden":false,"mode":"ojs"},{"id":89,"value":"{\n const points = vl.markPoint({fill:\"cornflowerblue\",stroke:\"cornflowerblue\",size:\"20\"})\n .data(df)\n .encode(\n vl.x().fieldQ('x'),\n vl.y().fieldQ('y')\n )\n const line = vl.markLine()\n .data([{\"x\":0,\"y\":b/10},{\"x\":10,\"y\":a/10*10+b/10}])\n .encode(\n vl.x().fieldQ('x'),\n vl.y().fieldQ('y')\n )\n \n const lines = []\n for(let i=0;i<10;i++){\n lines.push(vl.markLine({color:\"orange\",strokeDash:[1,1]})\n .data([{\"x\":df[i].x,\"y\":df[i].y},{\"x\":df[i].x,\"y\":a/10*df[i].x+b/10}])\n .encode(\n vl.x().fieldQ('x'),\n vl.y().fieldQ('y'),\n ))\n }\n return vl.layer(points,line,lines).render()\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":153,"value":"html `

Slope

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":55,"value":"viewof a = html `\n \n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":150,"value":"html `

Intercept

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":58,"value":"viewof b = html `\n \n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":142,"value":"html `\n

Appendix

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":11,"value":"import {vl} from '@vega/vega-lite-api'","pinned":false,"hidden":false,"mode":"ojs"},{"id":61,"value":"import {printTable} from '@uwdata/data-utilities'","pinned":false,"hidden":false,"mode":"ojs"},{"id":52,"value":"df = {\n const df=[]\n for(let i=0;i<10;i++){\n let x = Math.random()*10\n let y = 2*x+1+Math.random()*10\n let yhat = 0\n df.push({\"x\":x,\"y\":y,\"yhat\":yhat})\n }\n return df\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":83,"value":"dfMod = {\n for(let i=0;i<10;i++){\n df[i].yhat=a/10*df[i].x + b/10\n }\n return df\n}","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}