40:null 41:["$","title",null,{"children":"Logistic Regression 2 | Sean Phillips's Workspace | Observable"}] 47:[] 45:{"id":"ef667cd990af494b","slug":null,"title":"Logistic Regression 2","thumbnail":"f334c711f8a860602bceb0271725cf18b6fd687887e0f9c81ecae0820bef40e6","access_level":"public","create_time":"$D2023-10-03T12:59:00.839Z","update_time":"$D2023-10-10T13:06:55.308Z","view_time":null,"first_public_time":"$D2023-10-03T12:59:00.839Z","has_unpublished_edits":null,"fork":{"id":"6ce53ef747b5adea","slug":null,"title":"Logistic Regression","owner":{"id":"71d389d11a17960d","login":"sean-phillips-ws","name":"Sean Phillips's Workspace"}},"stars":0,"starred":false,"owner":{"type":"team","id":"71d389d11a17960d","login":"sean-phillips-ws","name":"Sean Phillips's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/2207bf271827ea0d4b79a65820d6a569b96834557a2a15fc0e2ea8b26e02ae89","tier":"starter_2024","bio":"","following":false},"version":238,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"7ec4b8e6fc57cc17","login":"rivian","name":"Sean Phillips","avatar_url":"https://avatars-next.observableusercontent.com/00d961e397b58e789c233802ccf30eb6b7181e6e392192cbafb4a9cb25e75a59","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"7ec4b8e6fc57cc17","login":"rivian","name":"Sean Phillips","avatar_url":"https://avatars-next.observableusercontent.com/00d961e397b58e789c233802ccf30eb6b7181e6e392192cbafb4a9cb25e75a59","tier":null,"role":"editor"},{"type":"team","id":"71d389d11a17960d","login":"sean-phillips-ws","name":"Sean Phillips's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/2207bf271827ea0d4b79a65820d6a569b96834557a2a15fc0e2ea8b26e02ae89","tier":"starter_2024","role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"collection":null,"type":"notebook","body":{"titling":"auto","title":"Logistic Regression 2","cells":[{"id":0,"value":"# Logistic Regression 2","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":139,"value":"viewof threshold = Inputs.range([0,10],{step:0.1})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":166,"value":"html` \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n

	Predicted Negative	Predicted Positive
Actual Postive	${falpos}	${truepos}
Actual Negative	${trueneg}	${flasenegatives}

\n\n\n\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":5,"value":"Plot.plot({\n x:{domain:[0,10]},\n y:{domain:[0,1]},\n marks:[\n Plot.ruleX([0]),\n Plot.ruleY([0]),\n Plot.dot(Xblue,{x:Xblue,y:0,fill:\"blue\",r:5}),\n Plot.dot(Xred,{x:Xred,y:1,fill:\"red\",r:5}),\n Plot.line([[threshold,0],[threshold,1]],{strokeDasharray:\"5,5\"}),\n Plot.line(X,{x:X,y:Y,stroke:\"purple\",strokeWidth:3}),\n Plot.line([[0,0.5],[10,0.5]],{strokeDasharray:\"5,5\"}),\n Plot.dot(Xall,{x:Xall,y:_y,fill:\"green\",r:5\n })\n ]\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":179,"value":"### Sigmoid","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":184,"value":"sf = (x,m,b)=> Math.exp(m*x +b)/(1+Math.exp(m*x +b))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":181,"value":"X = {\n let x = []\n for (let i =0;i<=10;i= i+0.1){\n x.push(i)\n }\n return x\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":189,"value":"m = 0.79000056","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":190,"value":"b = -4.18321431","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":187,"value":"Y = X.map(X =>sf(X,m,b))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":146,"value":"## Positives and Negatives","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":148,"value":"trueneg = Xblue.filter(x => x <= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":153,"value":"flasenegatives = Xred.filter(x => x <= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":159,"value":"truepos = Xred.filter(x => x >= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":163,"value":"falpos = Xblue.filter(x => x >= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":144,"value":"## Data\n","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":124,"value":"Xblue = [0.23172273283556077, 6.261636528327473, 4.6010247891667335, 1.660132912093145, 1.2024450601909025, 4.746559515821619, 4.9280744954032425, 5.250737883974269, 1.7705201542833398, 5.349311712251664]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":126,"value":"Xred = [4.557295223920891, 6.8297789235508315, 4.413710405238934, 7.690735156159806, 7.343854883275675, 8.804357813742223, 9.431131316191179, 4.968596810930029, 9.914854428874769, 5.195561411674539]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":127,"value":"Yblue = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":129,"value":"Yred = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":202,"value":"### Loss\n","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":204,"value":"Xall = [0.23172273283556077, 6.261636528327473, 4.6010247891667335, 1.660132912093145, 1.2024450601909025, 4.746559515821619, 4.9280744954032425, 5.250737883974269, 1.7705201542833398, 5.349311712251664,4.557295223920891, 6.8297789235508315, 4.413710405238934, 7.690735156159806, 7.343854883275675, 8.804357813742223, 9.431131316191179, 4.968596810930029, 9.914854428874769, 5.195561411674539]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":209,"value":"Yall = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0,1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":212,"value":"_y = Xall.map(Xall => sf(Xall,m,b))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":221,"value":" penalties = d3.mean(Xall.map((Xall,i) => -Yall[i]*Math.log(_y[i]) -(1-Yall[i])*Math.log(1-_y[i])))\n \n","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W47","stdlib":"1"}} 46:"$45:body"