With Bedroom, Bathroom and Sq. ft:

library(e1071)
library(caret)
## Loading required package: ggplot2
## Loading required package: lattice
# Loading data:
df <- read.csv("/Users/rupeshswarnakar/Downloads/STAT Learning/cleaned_apartments.csv", stringsAsFactors=FALSE)

# picking only the 3 numeric predictors + price:
df <- df[, c("price","bedrooms","bathrooms","square_feet")]

# coercing & dropping any bad rows:
df[] <- lapply(df, as.numeric)
df <- na.omit(df)

# binary target:
df$high_price <- factor(ifelse(df$price > 1500, "High", "Low"),
                        levels=c("Low","High"))

# Train/test split:
set.seed(42)
train_idx <- createDataPartition(df$high_price, p=0.8, list=FALSE)
train <- df[train_idx, ]
test  <- df[-train_idx, ]

# Scaling predictors:
pred_cols <- c("bedrooms","bathrooms","square_feet")

pp <- preProcess(train[, pred_cols], method=c("center","scale"))
train_scaled <- predict(pp, train[, pred_cols])
test_scaled  <- predict(pp, test[,  pred_cols])

# reattaching the response:
train_final <- cbind(train_scaled, high_price=train$high_price)
test_final  <- cbind(test_scaled,  high_price=test$high_price)

num_features <- ncol(train_scaled) 

# Fittinf SVM:
svm_base <- svm(
  high_price ~ .,
  data   = train_final,
  kernel = "radial",
  cost   = 1,
  gamma  = 1 / length(pred_cols)    # gamma = 1 / # predictors
)

# Predicting & evaluating:
x_test <- test_final[, colnames(train_scaled), drop=FALSE]
pred_base <- predict(svm_base, newdata = x_test)
cm_base <- confusionMatrix(pred_base, test_final$high_price)
print(cm_base)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction  Low High
##       Low  1253  499
##       High   65  174
##                                           
##                Accuracy : 0.7167          
##                  95% CI : (0.6964, 0.7364)
##     No Information Rate : 0.662           
##     P-Value [Acc > NIR] : 9.253e-08       
##                                           
##                   Kappa : 0.2484          
##                                           
##  Mcnemar's Test P-Value : < 2.2e-16       
##                                           
##             Sensitivity : 0.9507          
##             Specificity : 0.2585          
##          Pos Pred Value : 0.7152          
##          Neg Pred Value : 0.7280          
##              Prevalence : 0.6620          
##          Detection Rate : 0.6293          
##    Detection Prevalence : 0.8800          
##       Balanced Accuracy : 0.6046          
##                                           
##        'Positive' Class : Low             
## 

Plot:

library(ggplot2)
library(pROC)
## Type 'citation("pROC")' for a citation.
## 
## Attaching package: 'pROC'
## The following objects are masked from 'package:stats':
## 
##     cov, smooth, var
# Scatter:
ggplot(test_final, aes(x=bedrooms, y=square_feet, color=high_price)) +
  geom_point(alpha=0.6,size=2) +
  labs(title="Baseline: Bedrooms vs Square Feet",
       x="Bedrooms (scaled)", y="Square Feet (scaled)") +
  theme_minimal()

# Confusion‐matrix heatmap:
cm_df <- as.data.frame(cm_base$table)
ggplot(cm_df, aes(x=Prediction,y=Reference,fill=Freq)) +
  geom_tile(color="white") +
  geom_text(aes(label=Freq), color="white", size=5) +
  scale_fill_gradient(low="steelblue",high="darkred") +
  labs(title="Baseline Confusion Matrix") +
  theme_minimal()

# ROC:
svm_prob_base <- svm(
  high_price~., data=train_final,
  kernel="radial", cost=1,
  gamma=1/num_features,
  probability=TRUE
)
pred_obj_base <- predict(svm_prob_base,
                         test_final[,1:num_features],
                         probability=TRUE)
probs_low_base <- attr(pred_obj_base,"probabilities")[,"Low"]

roc_base <- roc(test_final$high_price, probs_low_base,
                levels=c("Low","High"))
## Setting direction: controls > cases
ggroc(roc_base, size=1.2) +
  geom_abline(lty="dashed",color="grey50") +
  labs(title=sprintf("Baseline ROC (AUC=%.2f)",auc(roc_base)),
       x="False Positive Rate", y="True Positive Rate") +
  theme_minimal()

With Location:

library(caret)
library(e1071)

# 1. Loading data:
df <- read.csv(
  "/Users/rupeshswarnakar/Downloads/STAT Learning/cleaned_apartments.csv",
  stringsAsFactors = FALSE
)
keep <- c("price","bedrooms","bathrooms","square_feet",
          "cityname","state","latitude","longitude")
df2  <- df[, keep]
df2[] <- lapply(df2, function(col) if(is.character(col)) col else as.numeric(col))
df2 <- na.omit(df2)

# Binary target:
df2$high_price <- factor(
  ifelse(df2$price > 1500, "High", "Low"),
  levels = c("Low","High")
)

# One‑hot encode cityname + state:
dummy_mod <- dummyVars(~ cityname + state, data = df2)
locs       <- predict(dummy_mod, df2)
locs       <- as.data.frame(locs)

# Canonicalize those dummy names to valid R names:
loc_cols <- make.names(colnames(locs))

# Build modeling frame:
model_df <- data.frame(
  bedrooms    = df2$bedrooms,
  bathrooms   = df2$bathrooms,
  square_feet = df2$square_feet,
  latitude    = df2$latitude,
  longitude   = df2$longitude,
  locs,                             # these columns now have names = loc_cols
  high_price  = df2$high_price
)

# Train/Test splitting:
set.seed(42)
train_i <- createDataPartition(model_df$high_price, p = 0.8, list = FALSE)
train2   <- model_df[train_i, ]
test2    <- model_df[-train_i, ]

# Scaling only the true numerics:
num_vars <- c("bedrooms","bathrooms","square_feet","latitude","longitude")
pp       <- preProcess(train2[, num_vars], method = c("center","scale"))
train2_num <- predict(pp, train2[, num_vars])
test2_num  <- predict(pp, test2[,  num_vars])

# Re‑assembling train_final & test_final using exactly loc_cols:
common_locs <- intersect(loc_cols, names(train2))
train_final <- data.frame(
  train2_num,
  train2[, common_locs, drop = FALSE],
  high_price = train2$high_price
)
test_final  <- data.frame(
  test2_num,
  test2[,  common_locs, drop = FALSE],
  high_price = test2$high_price
)

# Fitting baseline RBF‐SVM:
svm_fit <- svm(
  high_price ~ .,
  data   = train_final,
  kernel = "radial",
  cost   = 1,
  gamma  = 1 / length(num_vars)
)
## Warning in svm.default(x, y, scale = scale, ..., na.action = na.action):
## Variable(s) 'citynameAcworth' and 'citynameAllendale' and 'citynameAmelia' and
## 'citynameArvilla' and 'citynameAtlantic.Highlands' and 'citynameAvon' and
## 'citynameBarrington' and 'citynameBear' and 'citynameBellwood' and
## 'citynameBerlin' and 'citynameBlanco' and 'citynameBloomfield' and
## 'citynameBountiful' and 'citynameBrockport' and 'citynameBrookline' and
## 'citynameButner' and 'citynameCarbon.Cliff' and 'citynameCastro.Valley' and
## 'citynameCedar.City' and 'citynameChanhassen' and 'citynameCharlottesville' and
## 'citynameChaska' and 'citynameCherryville' and 'citynameChester' and
## 'citynameCliffside.Park' and 'citynameCoralville' and 'citynameCorunna' and
## 'citynameCrossville' and 'citynameCrozet' and 'citynameCrystal' and
## 'citynameDanville' and 'citynameDeltona' and 'citynameDestin' and
## 'citynameDickinson' and 'citynameDunwoody' and 'citynameEl.Segundo' and
## 'citynameElk.River' and 'citynameElwood' and 'citynameEnterprise' and
## 'citynameEssexville' and 'citynameFort.Wayne' and 'citynameFountain.Valley' and
## 'citynameFredericksburg' and 'citynameFreeland' and 'citynameGeneva' and
## 'citynameGiddings' and 'citynameGlenshaw' and 'citynameGoffstown' and
## 'citynameGrand.Prairie' and 'citynameGreer' and 'citynameHayward' and
## 'citynameHermosa.Beach' and 'citynameHighland.Park' and 'citynameHollywood' and
## 'citynameHurricane' and 'citynameIndian.Trail' and 'citynameKaukauna' and
## 'citynameKaysville' and 'citynameKennesaw' and 'citynameKeyser' and
## 'citynameKingston' and 'citynameLake.Forest' and 'citynameLauderhill' and
## 'citynameLeavenworth' and 'citynameLeland' and 'citynameLeon.Valley' and
## 'citynameLincoln.Park' and 'citynameLiverpool' and 'citynameLumberton' and
## 'citynameMahtomedi' and 'citynameManahawkin' and 'citynameMankato' and
## 'citynameManson' and 'citynameMaplewood' and 'citynameMarquette' and
## 'citynameMassillon' and 'citynameMc.Farland' and 'citynameMckinney' and
## 'citynameMcminnville' and 'citynameMedia' and 'citynameMeeker' and
## 'citynameMicro' and 'citynameMonticello' and 'citynameMoorpark' and
## 'citynameMorgan.Hill' and 'citynameMoses.Lake' and 'citynameMound' and
## 'citynameMount.Clemens' and 'citynameNaperville' and 'citynameNevada' and
## 'citynameNew.Canton' and 'citynameNew.Carlisle' and 'citynameNewberg' and
## 'citynameNewburyport' and 'citynameNewport' and 'citynameNorth.Versailles' and
## 'citynameNorthglenn' and 'citynameOakland.Park' and 'citynameOlympia' and
## 'citynameOoltewah' and 'citynameOrtonville' and 'citynameOviedo' and
## 'citynamePaoli' and 'citynamePenns.Grove' and 'citynamePewaukee' and
## 'citynamePlant.City' and 'citynamePonte.Vedra' and 'citynameRadnor' and
## 'citynameRandolph' and 'citynameRed.Bluff' and 'citynameReynoldsburg' and
## 'citynameRogersville' and 'citynameRosenberg' and 'citynameSaint.Marys' and
## 'citynameSanford' and 'citynameSanta.Fe' and 'citynameSavoy' and
## 'citynameScappoose' and 'citynameScarborough' and 'citynameSelma' and
## 'citynameSevern' and 'citynameSheffield.Lake' and 'citynameSilverton' and
## 'citynameSlidell' and 'citynameSoldotna' and 'citynameSouth.Dartmouth' and
## 'citynameSouth.Easton' and 'citynameSouth.Saint.Paul' and
## 'citynameSouth.Yarmouth' and 'citynameSouthfield' and 'citynameSpanaway' and
## 'citynameStanton' and 'citynameStreetsboro' and 'citynameTarpon.Springs' and
## 'citynameTerrell' and 'citynameTiverton' and 'citynameTolleson' and
## 'citynameTulare' and 'citynameVandalia' and 'citynameWaltham' and
## 'citynameWatertown' and 'citynameWest.Deptford' and 'citynameWhite.Plains' and
## 'citynameWilton' and 'citynameWinchester' and 'citynameWooster' and
## 'citynameWorcester' and 'citynameYork' and 'citynameYoungstown' constant.
## Cannot scale data.
# Predicting & evaluating:
preds <- predict(svm_fit, test_final[, -ncol(test_final)])
cm    <- confusionMatrix(preds, test_final$high_price)

cat("\nConfusion matrix including location dummies:\n")
## 
## Confusion matrix including location dummies:
print(cm)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction  Low High
##       Low  1238  181
##       High   79  491
##                                           
##                Accuracy : 0.8693          
##                  95% CI : (0.8537, 0.8838)
##     No Information Rate : 0.6621          
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.6966          
##                                           
##  Mcnemar's Test P-Value : 3.758e-10       
##                                           
##             Sensitivity : 0.9400          
##             Specificity : 0.7307          
##          Pos Pred Value : 0.8724          
##          Neg Pred Value : 0.8614          
##              Prevalence : 0.6621          
##          Detection Rate : 0.6224          
##    Detection Prevalence : 0.7134          
##       Balanced Accuracy : 0.8353          
##                                           
##        'Positive' Class : Low             
## 
model_df
##    bedrooms bathrooms square_feet latitude longitude cityname citynameAberdeen
## 3         0         1         107  38.8910  -77.0816        0                0
## 4         0         1         116  47.6160 -122.3275        0                0
## 6         0         1         130  40.7629  -73.9885        0                0
## 9         0         1         138  37.7599 -122.4379        0                0
## 15        0         1         190  37.7599 -122.4379        0                0
## 16        1         1         200  35.0847  -77.0609        0                0
## 17        1         1         200  35.0960  -77.0272        0                0
## 18        1         1         200  30.0871  -95.4685        0                0
## 19        1         1         200  38.1172 -122.2313        0                0
## 20        1         1         200  33.9649  -84.5107        0                0
## 21        1         1         200  35.2016  -80.8124        0                0
## 22        1         1         200  30.4601  -84.2714        0                0
## 24        1         1         200  33.5178 -112.0848        0                0
## 25        1         1         215  27.8492  -82.3155        0                0
## 26        1         1         219  32.8956  -85.4351        0                0
## 27        1         1         219  37.7599 -122.4379        0                0
## 28        1         1         219  39.1634  -76.6165        0                0
## 29        1         1         219  39.5816 -105.0387        0                0
## 30        1         1         219  38.6210  -76.9225        0                0
## 31        1         1         219  27.8492  -82.3155        0                0
## 33        1         1         219  39.6828 -104.8078        0                0
## 34        1         1         219  38.7418  -77.4684        0                0
## 35        1         1         219  33.7416  -84.2614        0                0
## 36        1         1         219  28.0076  -82.4792        0                0
## 37        1         1         219  35.1038 -106.6110        0                0
## 39        0         1         223  47.6160 -122.3275        0                0
## 40        0         1         225  47.6160 -122.3275        0                0
## 41        1         1         225  41.8625  -87.6825        0                0
## 42        0         1         228  47.6160 -122.3275        0                0
## 43        1         1         230  35.2240  -81.1809        0                0
## 44        1         1         230  27.7011  -82.3178        0                0
## 45        1         1         230  35.1211  -89.9517        0                0
## 46        0         1         231  47.6160 -122.3275        0                0
## 47        0         1         232  37.7599 -122.4379        0                0
## 49        1         1         240  48.7871 -122.4437        0                0
## 50        0         1         243  47.6160 -122.3275        0                0
## 51        1         1         245  61.1723 -149.8414        0                0
## 52        1         1         250  37.6019 -122.4863        0                0
## 53        1         1         250  33.9855 -118.4532        0                0
## 54        1         1         250  37.7599 -122.4379        0                0
## 55        1         1         250  34.1450 -118.3898        0                0
## 56        1         1         250  34.2805 -118.8861        0                0
## 57        1         1         250  33.8363 -118.3330        0                0
## 58        1         1         250  38.5587 -121.4320        0                0
## 59        1         1         250  34.2017 -118.4920        0                0
## 60        1         1         250  47.6160 -122.3275        0                0
## 61        1         1         250  34.1881 -118.3905        0                0
## 62        1         1         250  39.7360 -104.9819        0                0
## 63        1         1         250  39.6828 -104.8078        0                0
## 64        1         1         250  37.9353 -121.6935        0                0
## 65        1         1         250  37.9917 -122.5247        0                0
## 66        1         1         250  39.1088  -77.2384        0                0
## 67        1         1         250  42.6484  -71.1615        0                0
## 68        1         1         250  37.7904 -122.2151        0                0
## 69        1         1         250  37.9724 -122.3304        0                0
## 70        0         1         250  41.8625  -87.6825        0                0
## 71        1         1         250  38.7999  -77.1072        0                0
## 72        1         1         250  41.8625  -87.6825        0                0
## 73        1         1         250  34.2009 -118.8636        0                0
## 74        1         1         250  39.7360 -104.9819        0                0
## 75        1         1         250  38.7860  -77.2858        0                0
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##    stateHI stateIA stateID stateIL stateIN stateKS stateKY stateLA stateMA
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## 74       0       0       0       0       0       0       0       0       0
## 75       0       0       0       0       0       0       0       0       0
##    stateMD stateME stateMI stateMN stateMO stateMS stateMT stateNC stateND
## 3        0       0       0       0       0       0       0       0       0
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##    stateNE stateNH stateNJ stateNM stateNV stateNY stateOH stateOK stateOR
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##    statePA stateRI stateSC stateSD stateTN stateTX stateUT stateVA stateVT
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## 43       0       0       0       0       0       0       0       0       0
## 44       0       0       0       0       0       0       0       0       0
## 45       0       0       0       0       1       0       0       0       0
## 46       0       0       0       0       0       0       0       0       0
## 47       0       0       0       0       0       0       0       0       0
## 49       0       0       0       0       0       0       0       0       0
## 50       0       0       0       0       0       0       0       0       0
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## 56       0       0       0       0       0       0       0       0       0
## 57       0       0       0       0       0       0       0       0       0
## 58       0       0       0       0       0       0       0       0       0
## 59       0       0       0       0       0       0       0       0       0
## 60       0       0       0       0       0       0       0       0       0
## 61       0       0       0       0       0       0       0       0       0
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## 75       0       0       0       0       0       0       0       1       0
##    stateWA stateWI stateWV stateWY high_price
## 3        0       0       0       0        Low
## 4        1       0       0       0        Low
## 6        0       0       0       0       High
## 9        0       0       0       0        Low
## 15       0       0       0       0       High
## 16       0       0       0       0       High
## 17       0       0       0       0       High
## 18       0       0       0       0        Low
## 19       0       0       0       0        Low
## 20       0       0       0       0        Low
## 21       0       0       0       0        Low
## 22       0       0       0       0        Low
## 24       0       0       0       0        Low
## 25       0       0       0       0        Low
## 26       0       0       0       0       High
## 27       0       0       0       0        Low
## 28       0       0       0       0        Low
## 29       0       0       0       0        Low
## 30       0       0       0       0        Low
## 31       0       0       0       0        Low
## 33       0       0       0       0        Low
## 34       0       0       0       0        Low
## 35       0       0       0       0        Low
## 36       0       0       0       0        Low
## 37       0       0       0       0        Low
## 39       1       0       0       0        Low
## 40       1       0       0       0        Low
## 41       0       0       0       0        Low
## 42       1       0       0       0        Low
## 43       0       0       0       0        Low
## 44       0       0       0       0        Low
## 45       0       0       0       0        Low
## 46       1       0       0       0        Low
## 47       0       0       0       0       High
## 49       1       0       0       0        Low
## 50       1       0       0       0        Low
## 51       0       0       0       0        Low
## 52       0       0       0       0       High
## 53       0       0       0       0       High
## 54       0       0       0       0        Low
## 55       0       0       0       0        Low
## 56       0       0       0       0        Low
## 57       0       0       0       0        Low
## 58       0       0       0       0        Low
## 59       0       0       0       0        Low
## 60       1       0       0       0        Low
## 61       0       0       0       0        Low
## 62       0       0       0       0        Low
## 63       0       0       0       0        Low
## 64       0       0       0       0        Low
## 65       0       0       0       0        Low
## 66       0       0       0       0        Low
## 67       0       0       0       0        Low
## 68       0       0       0       0        Low
## 69       0       0       0       0        Low
## 70       0       0       0       0        Low
## 71       0       0       0       0        Low
## 72       0       0       0       0        Low
## 73       0       0       0       0        Low
## 74       0       0       0       0        Low
## 75       0       0       0       0        Low
##  [ reached 'max' / getOption("max.print") -- omitted 9889 rows ]

Plot:

library(ggplot2)
library(pROC)
library(e1071)

# Scatter plot of scaled bedrooms vs sq ft, colored by true class:
ggplot(test_final, aes(x = bedrooms, y = square_feet, color = high_price)) +
  geom_point(alpha = 0.6, size = 2) +
  labs(
    title = "Bedrooms vs. Square Feet (scaled)\nTrue Price Class",
    x     = "Bedrooms (scaled)",
    y     = "Square Feet (scaled)",
    color = "High Price?"
  ) +
  theme_minimal()

# Confusion‐matrix heatmap:
cm_df <- as.data.frame(cm$table)
ggplot(cm_df, aes(x = Prediction, y = Reference, fill = Freq)) +
  geom_tile(color = "white") +
  geom_text(aes(label = Freq), color = "white", size = 5) +
  scale_fill_gradient(low = "steelblue", high = "darkred") +
  labs(
    title = "Confusion Matrix Heatmap",
    x     = "Predicted Class",
    y     = "Actual Class"
  ) +
  theme_minimal()

# 3) ROC Curve:
svm_prob_model <- svm(
  high_price ~ .,
  data        = train_final,
  kernel      = "radial",
  cost        = 1,
  gamma       = 1 / length(num_vars),
  probability = TRUE
)
## Warning in svm.default(x, y, scale = scale, ..., na.action = na.action):
## Variable(s) 'citynameAcworth' and 'citynameAllendale' and 'citynameAmelia' and
## 'citynameArvilla' and 'citynameAtlantic.Highlands' and 'citynameAvon' and
## 'citynameBarrington' and 'citynameBear' and 'citynameBellwood' and
## 'citynameBerlin' and 'citynameBlanco' and 'citynameBloomfield' and
## 'citynameBountiful' and 'citynameBrockport' and 'citynameBrookline' and
## 'citynameButner' and 'citynameCarbon.Cliff' and 'citynameCastro.Valley' and
## 'citynameCedar.City' and 'citynameChanhassen' and 'citynameCharlottesville' and
## 'citynameChaska' and 'citynameCherryville' and 'citynameChester' and
## 'citynameCliffside.Park' and 'citynameCoralville' and 'citynameCorunna' and
## 'citynameCrossville' and 'citynameCrozet' and 'citynameCrystal' and
## 'citynameDanville' and 'citynameDeltona' and 'citynameDestin' and
## 'citynameDickinson' and 'citynameDunwoody' and 'citynameEl.Segundo' and
## 'citynameElk.River' and 'citynameElwood' and 'citynameEnterprise' and
## 'citynameEssexville' and 'citynameFort.Wayne' and 'citynameFountain.Valley' and
## 'citynameFredericksburg' and 'citynameFreeland' and 'citynameGeneva' and
## 'citynameGiddings' and 'citynameGlenshaw' and 'citynameGoffstown' and
## 'citynameGrand.Prairie' and 'citynameGreer' and 'citynameHayward' and
## 'citynameHermosa.Beach' and 'citynameHighland.Park' and 'citynameHollywood' and
## 'citynameHurricane' and 'citynameIndian.Trail' and 'citynameKaukauna' and
## 'citynameKaysville' and 'citynameKennesaw' and 'citynameKeyser' and
## 'citynameKingston' and 'citynameLake.Forest' and 'citynameLauderhill' and
## 'citynameLeavenworth' and 'citynameLeland' and 'citynameLeon.Valley' and
## 'citynameLincoln.Park' and 'citynameLiverpool' and 'citynameLumberton' and
## 'citynameMahtomedi' and 'citynameManahawkin' and 'citynameMankato' and
## 'citynameManson' and 'citynameMaplewood' and 'citynameMarquette' and
## 'citynameMassillon' and 'citynameMc.Farland' and 'citynameMckinney' and
## 'citynameMcminnville' and 'citynameMedia' and 'citynameMeeker' and
## 'citynameMicro' and 'citynameMonticello' and 'citynameMoorpark' and
## 'citynameMorgan.Hill' and 'citynameMoses.Lake' and 'citynameMound' and
## 'citynameMount.Clemens' and 'citynameNaperville' and 'citynameNevada' and
## 'citynameNew.Canton' and 'citynameNew.Carlisle' and 'citynameNewberg' and
## 'citynameNewburyport' and 'citynameNewport' and 'citynameNorth.Versailles' and
## 'citynameNorthglenn' and 'citynameOakland.Park' and 'citynameOlympia' and
## 'citynameOoltewah' and 'citynameOrtonville' and 'citynameOviedo' and
## 'citynamePaoli' and 'citynamePenns.Grove' and 'citynamePewaukee' and
## 'citynamePlant.City' and 'citynamePonte.Vedra' and 'citynameRadnor' and
## 'citynameRandolph' and 'citynameRed.Bluff' and 'citynameReynoldsburg' and
## 'citynameRogersville' and 'citynameRosenberg' and 'citynameSaint.Marys' and
## 'citynameSanford' and 'citynameSanta.Fe' and 'citynameSavoy' and
## 'citynameScappoose' and 'citynameScarborough' and 'citynameSelma' and
## 'citynameSevern' and 'citynameSheffield.Lake' and 'citynameSilverton' and
## 'citynameSlidell' and 'citynameSoldotna' and 'citynameSouth.Dartmouth' and
## 'citynameSouth.Easton' and 'citynameSouth.Saint.Paul' and
## 'citynameSouth.Yarmouth' and 'citynameSouthfield' and 'citynameSpanaway' and
## 'citynameStanton' and 'citynameStreetsboro' and 'citynameTarpon.Springs' and
## 'citynameTerrell' and 'citynameTiverton' and 'citynameTolleson' and
## 'citynameTulare' and 'citynameVandalia' and 'citynameWaltham' and
## 'citynameWatertown' and 'citynameWest.Deptford' and 'citynameWhite.Plains' and
## 'citynameWilton' and 'citynameWinchester' and 'citynameWooster' and
## 'citynameWorcester' and 'citynameYork' and 'citynameYoungstown' constant.
## Cannot scale data.
# predict class + probabilities on test set:
pred_obj    <- predict(
  svm_prob_model,
  test_final[, -ncol(test_final)],
  probability = TRUE
)
probs_low   <- attr(pred_obj, "probabilities")[, "Low"]

# computing & plotting ROC:
roc_obj <- roc(
  response  = test_final$high_price,
  predictor = probs_low,
  levels    = c("Low", "High")
)
## Setting direction: controls > cases
ggroc(roc_obj, size = 1.2) +
  geom_abline(linetype = "dashed", color = "grey50") +
  labs(
    title = sprintf("ROC Curve (AUC = %.2f)", auc(roc_obj)),
    x     = "False Positive Rate",
    y     = "True Positive Rate"
  ) +
  theme_minimal()

What Improved?

Metric Baseline (no location) With location
Accuracy 0.7167 0.8693
Sensitivity (Low price) 0.9507 0.94
Specificity (High price) 0.2585 0.7307
Balanced accuracy 0.6046 0.8353
Kappa 0.2484 0.6966
AUC 0.67 0.92