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fixed errors
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hw3/.RData
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hw3/.RData
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@ -77,3 +77,81 @@ length(test_data)
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ncol(test_data)
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nrow(test_data)
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q()
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qda.fit
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fit.qda
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qda.fit
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auto
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qda.fit = qda(mpg01 ~ horsepower + weight + cylinders + displacement, data = train_data)
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import(MASS)
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qda.fit = qda(mpg01 ~ horsepower + weight + cylinders + displacement, data = train_data)
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import(class)
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library(MASS)
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qda.fit = qda(mpg01 ~ horsepower + weight + cylinders + displacement, data = train_data)
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qda.fit
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> mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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qda.fit=qda(mpg01 ~ horsepower + weight + acceleration + displacement,data=train_data)
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qda.pred=predict(qda.fit,test_data,na.rm=T)
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mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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qda.fit=qda(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data)
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qda.pred=predict(qda.fit,test_data,na.rm=T)
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mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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qda.fit
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qda.pred=predict(qda.fit,test_data,na.rm=T)
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mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,199)
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,length(test_data)
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,length(test_data))
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,length(test_data))
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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glm.pred
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glm.pred=rep(0,length(test_data))
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glm.pred
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test_data
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,nrow(test_data))
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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set.seed(1)
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auto <- na.omit(auto)
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train_bools <- (auto$year %% 2 == 0)
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train_data = auto[train_bools,]
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test_data = auto[!train_bools,]
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train.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[train_bools,]
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test.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[!train_bools,]
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train.mpg01 = auto$mpg01[train_bools]
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knn.pred = knn(train.X,test.X,train.mpg01,k=1)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=2)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=3)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=4)
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mean(knn.pred != test_data$mpg0)
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import(class)
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library(class)
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knn.pred = knn(train.X,test.X,train.mpg01,k=1)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=2)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=3)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=4)
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mean(knn.pred != test_data$mpg0)
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q()
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27
hw3/answers
27
hw3/answers
@ -196,7 +196,7 @@ Part B: Choose one of Questions 10 or 11
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> qda.fit
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Call:
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lda(mpg01 ~ horsepower + weight + cylinders + displacement, data = train_data)
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qda(mpg01 ~ horsepower + weight + cylinders + displacement, data = train_data)
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Prior probabilities of groups:
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0 1
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@ -207,16 +207,11 @@ Part B: Choose one of Questions 10 or 11
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0 131.96939 3579.827 6.755102 268.4082
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1 77.96429 2313.598 4.071429 111.7188
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Coefficients of linear discriminants:
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LD1
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horsepower 0.0060634365
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weight -0.0011442212
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cylinders -0.6390942259
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displacement 0.0004517291
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> qda.pred=predict(qda.fit,test_data,na.rm=T)
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***Test Data Error Rate:
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> mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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[1] 0.1428571
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[1] 0.1483516
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@ -227,12 +222,12 @@ Part B: Choose one of Questions 10 or 11
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> glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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> glm.probs=predict(glm.fit,test_data,type="response")
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> glm.pred=rep(0,199)
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> glm.pred=rep(0,nrow(test_data))
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> glm.pred[glm.probs>.5]=1
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***Test Data Error Rate:
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> mean(glm.pred!=test_data$mpg01)
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[1] 0.1407035
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[1] 0.1373626
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──────────────────────────────────────────────────────────────────────────
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@ -250,23 +245,29 @@ Part B: Choose one of Questions 10 or 11
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> train_data = auto[train_bools,]
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> test_data = auto[!train_bools,]
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> train.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$acceleration)[train_bools,]
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> test.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$acceleration)[!train_bools,]
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> train.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[train_bools,]
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> test.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[!train_bools,]
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> train.mpg01 = auto$mpg01[train_bools]
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***Test Data Error Rates:
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k = 1
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> knn.pred = knn(train.X,test.X,train.mpg01,k=1)
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> mean(knn.pred != test_data$mpg01)
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[1] 0.1483516
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k = 2
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> knn.pred = knn(train.X,test.X,train.mpg01,k=2)
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> mean(knn.pred != test_data$mpg01)
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[1] 0.1593407
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k = 3
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> knn.pred = knn(train.X,test.X,train.mpg01,k=3)
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> mean(knn.pred != test_data$mpg01)
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[1] 0.1648352
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k = 4
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> knn.pred = knn(train.X,test.X,train.mpg01,k=4)
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> mean(knn.pred != test_data$mpg0)
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[1] 0.1813187
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[1] 0.1923077
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k = 1 looks like the best, since the error rate increases with k.
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20
hw3/commands
20
hw3/commands
@ -22,13 +22,13 @@ lda.fit=lda(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_da
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lda.pred=predict(lda.fit, test_data)
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mean(lda.pred$class!=test_data$mpg01,na.rm=T)
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qda.fit=qda(mpg01 ~ horsepower + weight + acceleration + displacement,data=train_data)
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qda.fit=qda(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data)
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qda.pred=predict(qda.fit,test_data,na.rm=T)
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mean(qda.pred$class!=test_data$mpg01,na.rm=T)
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glm.fit=glm(mpg01 ~ horsepower + weight + acceleration + displacement,data=train_data,family=binomial)
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glm.fit=glm(mpg01 ~ horsepower + weight + cylinders + displacement,data=train_data,family=binomial)
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glm.probs=predict(glm.fit,test_data,type="response")
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glm.pred=rep(0,199)
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glm.pred=rep(0,nrow(test_data))
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glm.pred[glm.probs>.5]=1
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mean(glm.pred!=test_data$mpg01)
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@ -39,8 +39,18 @@ train_data = auto[train_bools,]
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test_data = auto[!train_bools,]
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train.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$acceleration)[train_bools,]
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test.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$acceleration)[!train_bools,]
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train.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[train_bools,]
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test.X = cbind(auto$horsepower,auto$displacement,auto$weight,auto$cylinders)[!train_bools,]
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train.mpg01 = auto$mpg01[train_bools]
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knn.pred = knn(train.X,test.X,train.mpg01,k=1)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=2)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=3)
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mean(knn.pred != test_data$mpg01)
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knn.pred = knn(train.X,test.X,train.mpg01,k=4)
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mean(knn.pred != test_data$mpg0)
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