Random Forest
Janpu Hou
January 19, 2017
Random Forest
The algorithm starts by building out trees similar to the way a normal decision tree algorithm works. However, every time a split has to made, it uses only a small random subset of features to make the split instead of the full set of features (usually (sqrt[]{p}), where p is the number of predictors). It builds multiple trees using the same process, and then takes the average of all the trees to arrive at the final model.
library(RCurl)## Loading required package: bitopslibrary(randomForest)## randomForest 4.6-12## Type rfNews() to see new features/changes/bug fixes.library(party)## Loading required package: grid## Loading required package: mvtnorm## Loading required package: modeltools## Loading required package: stats4##
## Attaching package: 'modeltools'## The following object is masked from 'package:RCurl':
##
## clone## Loading required package: strucchange## Loading required package: zoo##
## Attaching package: 'zoo'## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric## Loading required package: sandwichwine <- read.csv(file="https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv",head=TRUE,sep=";")
head(wine)## fixed.acidity volatile.acidity citric.acid residual.sugar chlorides
## 1 7.0 0.27 0.36 20.7 0.045
## 2 6.3 0.30 0.34 1.6 0.049
## 3 8.1 0.28 0.40 6.9 0.050
## 4 7.2 0.23 0.32 8.5 0.058
## 5 7.2 0.23 0.32 8.5 0.058
## 6 8.1 0.28 0.40 6.9 0.050
## free.sulfur.dioxide total.sulfur.dioxide density pH sulphates alcohol
## 1 45 170 1.0010 3.00 0.45 8.8
## 2 14 132 0.9940 3.30 0.49 9.5
## 3 30 97 0.9951 3.26 0.44 10.1
## 4 47 186 0.9956 3.19 0.40 9.9
## 5 47 186 0.9956 3.19 0.40 9.9
## 6 30 97 0.9951 3.26 0.44 10.1
## quality
## 1 6
## 2 6
## 3 6
## 4 6
## 5 6
## 6 6barplot(table(wine$quality))
wine$taste <- ifelse(wine$quality < 6, 'bad', 'good')
wine$taste[wine$quality == 6] <- 'normal'
wine$taste <- as.factor(wine$taste)
table(wine$taste)##
## bad good normal
## 1640 1060 2198# This will place 60% of the observations in the original dataset into train
# and the remaining 40% of the observations into test.
set.seed(123)
samp <- sample(nrow(wine), 0.6 * nrow(wine))
train <- wine[samp, ]
test <- wine[-samp, ]
# We can use ntree and mtry to specify the total number of trees to build (default = 500),
# and the number of predictors to randomly sample at each split respectively. Let’s take a look at the model.
model <- randomForest(taste ~ . - quality, data = train)
model##
## Call:
## randomForest(formula = taste ~ . - quality, data = train)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 3
##
## OOB estimate of error rate: 29.82%
## Confusion matrix:
## bad good normal class.error
## bad 671 18 284 0.3103803
## good 17 402 230 0.3805855
## normal 221 106 989 0.2484802# We can see that 500 trees were built, and the model randomly sampled 3 predictors
# at each split. It also shows a matrix containing prediction vs actual,
# as well as classification error for each class.
# Let’s test the model on the test data set.
pred <- predict(model, newdata = test)
table(pred, test$taste)##
## pred bad good normal
## bad 481 12 128
## good 13 247 81
## normal 173 152 673# We can calculate the accuracy as follows:
pred_accuracy = (482 + 252 + 667) / nrow(test)
pred_accuracy## [1] 0.7147959# We achieved ~71.5% accuracy with a very simple model.
# It could be further improved by feature selection,
# and possibly by trying different number of variable per level "mtry".
# also recommended looking onto one of the published variable selection
# approaches to reduce the number of your independent variables.
getTree(model, 1, labelVar=TRUE)## left daughter right daughter split var split point status
## 1 2 3 alcohol 11.4750000 1
## 2 4 5 alcohol 10.0166667 1
## 3 6 7 alcohol 12.5500000 1
## 4 8 9 citric.acid 0.2650000 1
## 5 10 11 free.sulfur.dioxide 11.5000000 1
## 6 12 13 citric.acid 0.4550000 1
## 7 14 15 pH 3.2850000 1
## 8 16 17 free.sulfur.dioxide 25.5000000 1
## 9 18 19 citric.acid 0.4350000 1
## 10 20 21 citric.acid 0.1450000 1
## 11 22 23 fixed.acidity 7.0500000 1
## 12 24 25 sulphates 0.4750000 1
## 13 26 27 density 0.9902000 1
## 14 28 29 free.sulfur.dioxide 11.0000000 1
## 15 30 31 citric.acid 0.1250000 1
## 16 32 33 chlorides 0.0465000 1
## 17 34 35 fixed.acidity 5.7500000 1
## 18 36 37 sulphates 0.8100000 1
## 19 38 39 free.sulfur.dioxide 14.5000000 1
## 20 0 0 <NA> 0.0000000 -1
## 21 40 41 fixed.acidity 7.3000000 1
## 22 42 43 sulphates 0.3950000 1
## 23 44 45 pH 2.9750000 1
## 24 46 47 density 0.9924200 1
## 25 48 49 free.sulfur.dioxide 18.5000000 1
## 26 50 51 density 0.9896700 1
## 27 52 53 pH 3.0550000 1
## 28 54 55 chlorides 0.0265000 1
## 29 56 57 residual.sugar 4.4750000 1
## 30 0 0 <NA> 0.0000000 -1
## 31 58 59 total.sulfur.dioxide 36.0000000 1
## 32 60 61 citric.acid 0.2450000 1
## 33 62 63 density 0.9938150 1
## 34 64 65 density 0.9937500 1
## 35 66 67 total.sulfur.dioxide 132.0000000 1
## 36 68 69 volatile.acidity 0.2750000 1
## 37 70 71 fixed.acidity 7.7500000 1
## 38 72 73 free.sulfur.dioxide 4.5000000 1
## 39 74 75 volatile.acidity 0.2050000 1
## 40 76 77 fixed.acidity 5.6000000 1
## 41 78 79 citric.acid 0.4700000 1
## 42 80 81 pH 3.0800000 1
## 43 82 83 chlorides 0.0395000 1
## 44 84 85 residual.sugar 1.5500000 1
## 45 86 87 pH 3.4300000 1
## 46 88 89 residual.sugar 1.3500000 1
## 47 90 91 residual.sugar 3.9500000 1
## 48 92 93 total.sulfur.dioxide 73.5000000 1
## 49 94 95 pH 3.0600000 1
## 50 0 0 <NA> 0.0000000 -1
## 51 0 0 <NA> 0.0000000 -1
## 52 0 0 <NA> 0.0000000 -1
## 53 96 97 free.sulfur.dioxide 36.0000000 1
## 54 98 99 total.sulfur.dioxide 71.0000000 1
## 55 0 0 <NA> 0.0000000 -1
## 56 100 101 total.sulfur.dioxide 129.5000000 1
## 57 102 103 residual.sugar 6.1500000 1
## 58 0 0 <NA> 0.0000000 -1
## 59 104 105 alcohol 12.7500000 1
## 60 106 107 total.sulfur.dioxide 72.5000000 1
## 61 108 109 residual.sugar 4.5500000 1
## 62 110 111 alcohol 9.3500000 1
## 63 112 113 chlorides 0.0590000 1
## 64 114 115 citric.acid 0.1450000 1
## 65 116 117 total.sulfur.dioxide 181.5000000 1
## 66 118 119 residual.sugar 5.0500000 1
## 67 120 121 volatile.acidity 0.3050000 1
## 68 122 123 alcohol 9.0500000 1
## 69 124 125 fixed.acidity 7.2500000 1
## 70 0 0 <NA> 0.0000000 -1
## 71 0 0 <NA> 0.0000000 -1
## 72 0 0 <NA> 0.0000000 -1
## 73 0 0 <NA> 0.0000000 -1
## 74 126 127 volatile.acidity 0.1750000 1
## 75 128 129 chlorides 0.0495000 1
## 76 0 0 <NA> 0.0000000 -1
## 77 130 131 fixed.acidity 6.5500000 1
## 78 132 133 volatile.acidity 0.4950000 1
## 79 134 135 total.sulfur.dioxide 80.0000000 1
## 80 136 137 citric.acid 0.2350000 1
## 81 138 139 citric.acid 0.2850000 1
## 82 140 141 residual.sugar 5.2250000 1
## 83 142 143 free.sulfur.dioxide 92.2500000 1
## 84 144 145 free.sulfur.dioxide 14.5000000 1
## 85 146 147 citric.acid 0.3100000 1
## 86 148 149 density 0.9955250 1
## 87 150 151 chlorides 0.0485000 1
## 88 152 153 alcohol 11.9500000 1
## 89 154 155 residual.sugar 6.8250000 1
## 90 0 0 <NA> 0.0000000 -1
## 91 156 157 chlorides 0.0350000 1
## 92 158 159 density 0.9896075 1
## 93 160 161 density 0.9927600 1
## 94 162 163 sulphates 0.5000000 1
## 95 164 165 pH 3.6700000 1
## 96 166 167 total.sulfur.dioxide 118.0000000 1
## 97 168 169 fixed.acidity 6.9500000 1
## 98 0 0 <NA> 0.0000000 -1
## 99 0 0 <NA> 0.0000000 -1
## 100 170 171 density 0.9911350 1
## 101 172 173 volatile.acidity 0.3200000 1
## 102 0 0 <NA> 0.0000000 -1
## 103 174 175 density 0.9912300 1
## 104 176 177 free.sulfur.dioxide 19.0000000 1
## 105 0 0 <NA> 0.0000000 -1
## 106 178 179 density 0.9937000 1
## 107 180 181 volatile.acidity 0.3750000 1
## 108 182 183 total.sulfur.dioxide 103.0000000 1
## 109 0 0 <NA> 0.0000000 -1
## 110 0 0 <NA> 0.0000000 -1
## 111 184 185 total.sulfur.dioxide 138.5000000 1
## 112 0 0 <NA> 0.0000000 -1
## 113 186 187 pH 3.0650000 1
## 114 0 0 <NA> 0.0000000 -1
## 115 0 0 <NA> 0.0000000 -1
## 116 0 0 <NA> 0.0000000 -1
## 117 0 0 <NA> 0.0000000 -1
## 118 188 189 chlorides 0.0470000 1
## 119 190 191 volatile.acidity 0.3100000 1
## 120 192 193 free.sulfur.dioxide 36.5000000 1
## 121 194 195 alcohol 9.8500000 1
## 122 196 197 fixed.acidity 6.8500000 1
## 123 198 199 free.sulfur.dioxide 14.5000000 1
## 124 200 201 volatile.acidity 0.4450000 1
## 125 202 203 residual.sugar 5.2000000 1
## 126 204 205 alcohol 9.3500000 1
## 127 206 207 residual.sugar 15.5750000 1
## 128 208 209 pH 2.9450000 1
## 129 210 211 sulphates 0.5150000 1
## 130 212 213 density 0.9915500 1
## 131 214 215 total.sulfur.dioxide 67.0000000 1
## 132 0 0 <NA> 0.0000000 -1
## 133 0 0 <NA> 0.0000000 -1
## 134 0 0 <NA> 0.0000000 -1
## 135 216 217 volatile.acidity 0.1950000 1
## 136 0 0 <NA> 0.0000000 -1
## 137 218 219 citric.acid 0.4350000 1
## 138 220 221 alcohol 11.2500000 1
## 139 222 223 fixed.acidity 6.8500000 1
## 140 224 225 chlorides 0.0385000 1
## 141 226 227 alcohol 10.9500000 1
## 142 228 229 pH 3.2550000 1
## 143 0 0 <NA> 0.0000000 -1
## 144 230 231 free.sulfur.dioxide 13.5000000 1
## 145 0 0 <NA> 0.0000000 -1
## 146 232 233 sulphates 0.6350000 1
## 147 234 235 pH 2.9450000 1
## 148 236 237 pH 3.0450000 1
## 149 238 239 chlorides 0.0590000 1
## 150 240 241 total.sulfur.dioxide 122.5000000 1
## 151 242 243 total.sulfur.dioxide 169.0000000 1
## 152 244 245 sulphates 0.3600000 1
## 153 0 0 <NA> 0.0000000 -1
## 154 246 247 chlorides 0.0335000 1
## 155 248 249 fixed.acidity 7.8000000 1
## 156 250 251 fixed.acidity 6.5500000 1
## 157 252 253 alcohol 12.3500000 1
## 158 0 0 <NA> 0.0000000 -1
## 159 0 0 <NA> 0.0000000 -1
## 160 254 255 pH 3.3700000 1
## 161 0 0 <NA> 0.0000000 -1
## 162 256 257 pH 3.0050000 1
## 163 0 0 <NA> 0.0000000 -1
## 164 258 259 chlorides 0.0235000 1
## 165 0 0 <NA> 0.0000000 -1
## 166 260 261 total.sulfur.dioxide 109.0000000 1
## 167 0 0 <NA> 0.0000000 -1
## 168 262 263 citric.acid 0.7150000 1
## 169 0 0 <NA> 0.0000000 -1
## 170 264 265 citric.acid 0.2450000 1
## 171 0 0 <NA> 0.0000000 -1
## 172 0 0 <NA> 0.0000000 -1
## 173 266 267 volatile.acidity 0.3400000 1
## 174 268 269 pH 3.0600000 1
## 175 270 271 total.sulfur.dioxide 156.0000000 1
## 176 0 0 <NA> 0.0000000 -1
## 177 272 273 pH 3.3550000 1
## 178 0 0 <NA> 0.0000000 -1
## 179 0 0 <NA> 0.0000000 -1
## 180 0 0 <NA> 0.0000000 -1
## 181 274 275 total.sulfur.dioxide 120.0000000 1
## 182 0 0 <NA> 0.0000000 -1
## 183 0 0 <NA> 0.0000000 -1
## 184 0 0 <NA> 0.0000000 -1
## 185 276 277 sulphates 0.3900000 1
## 186 278 279 alcohol 9.3500000 1
## 187 0 0 <NA> 0.0000000 -1
## 188 280 281 residual.sugar 1.0000000 1
## 189 0 0 <NA> 0.0000000 -1
## 190 0 0 <NA> 0.0000000 -1
## 191 282 283 chlorides 0.0350000 1
## 192 284 285 sulphates 0.4150000 1
## 193 286 287 total.sulfur.dioxide 221.5000000 1
## 194 288 289 volatile.acidity 0.3450000 1
## 195 290 291 alcohol 9.9500000 1
## 196 292 293 sulphates 0.4350000 1
## 197 294 295 citric.acid 0.3050000 1
## 198 0 0 <NA> 0.0000000 -1
## 199 296 297 fixed.acidity 6.6500000 1
## 200 298 299 chlorides 0.1965000 1
## 201 0 0 <NA> 0.0000000 -1
## 202 300 301 residual.sugar 1.3500000 1
## 203 302 303 chlorides 0.0580000 1
## 204 0 0 <NA> 0.0000000 -1
## 205 304 305 citric.acid 0.4550000 1
## 206 306 307 citric.acid 0.5350000 1
## 207 308 309 volatile.acidity 0.1850000 1
## 208 0 0 <NA> 0.0000000 -1
## 209 310 311 density 0.9982500 1
## 210 312 313 citric.acid 0.6700000 1
## 211 314 315 fixed.acidity 7.5500000 1
## 212 0 0 <NA> 0.0000000 -1
## 213 316 317 free.sulfur.dioxide 9.5000000 1
## 214 0 0 <NA> 0.0000000 -1
## 215 318 319 citric.acid 0.3700000 1
## 216 0 0 <NA> 0.0000000 -1
## 217 0 0 <NA> 0.0000000 -1
## 218 0 0 <NA> 0.0000000 -1
## 219 0 0 <NA> 0.0000000 -1
## 220 320 321 density 0.9942600 1
## 221 0 0 <NA> 0.0000000 -1
## 222 322 323 alcohol 10.8500000 1
## 223 324 325 total.sulfur.dioxide 135.0000000 1
## 224 326 327 chlorides 0.0230000 1
## 225 328 329 density 0.9912900 1
## 226 330 331 citric.acid 0.2700000 1
## 227 332 333 total.sulfur.dioxide 105.5000000 1
## 228 334 335 density 0.9914300 1
## 229 336 337 total.sulfur.dioxide 145.0000000 1
## 230 0 0 <NA> 0.0000000 -1
## 231 0 0 <NA> 0.0000000 -1
## 232 0 0 <NA> 0.0000000 -1
## 233 0 0 <NA> 0.0000000 -1
## 234 0 0 <NA> 0.0000000 -1
## 235 0 0 <NA> 0.0000000 -1
## 236 338 339 citric.acid 0.4550000 1
## 237 340 341 residual.sugar 3.6500000 1
## 238 342 343 fixed.acidity 7.1500000 1
## 239 0 0 <NA> 0.0000000 -1
## 240 0 0 <NA> 0.0000000 -1
## 241 344 345 free.sulfur.dioxide 32.5000000 1
## 242 0 0 <NA> 0.0000000 -1
## 243 346 347 volatile.acidity 0.2250000 1
## 244 348 349 alcohol 11.7500000 1
## 245 350 351 free.sulfur.dioxide 19.5000000 1
## 246 352 353 sulphates 0.3150000 1
## 247 354 355 pH 2.9650000 1
## 248 356 357 total.sulfur.dioxide 95.5000000 1
## 249 0 0 <NA> 0.0000000 -1
## 250 0 0 <NA> 0.0000000 -1
## 251 358 359 density 0.9941250 1
## 252 360 361 free.sulfur.dioxide 25.0000000 1
## 253 0 0 <NA> 0.0000000 -1
## 254 362 363 density 0.9909700 1
## 255 0 0 <NA> 0.0000000 -1
## 256 0 0 <NA> 0.0000000 -1
## 257 0 0 <NA> 0.0000000 -1
## 258 364 365 volatile.acidity 0.2950000 1
## 259 366 367 free.sulfur.dioxide 44.0000000 1
## 260 0 0 <NA> 0.0000000 -1
## 261 0 0 <NA> 0.0000000 -1
## 262 0 0 <NA> 0.0000000 -1
## 263 0 0 <NA> 0.0000000 -1
## 264 368 369 chlorides 0.0205000 1
## 265 370 371 pH 3.2050000 1
## 266 0 0 <NA> 0.0000000 -1
## 267 0 0 <NA> 0.0000000 -1
## 268 0 0 <NA> 0.0000000 -1
## 269 0 0 <NA> 0.0000000 -1
## 270 372 373 density 0.9925750 1
## 271 0 0 <NA> 0.0000000 -1
## 272 0 0 <NA> 0.0000000 -1
## 273 374 375 free.sulfur.dioxide 37.0000000 1
## 274 0 0 <NA> 0.0000000 -1
## 275 0 0 <NA> 0.0000000 -1
## 276 0 0 <NA> 0.0000000 -1
## 277 0 0 <NA> 0.0000000 -1
## 278 0 0 <NA> 0.0000000 -1
## 279 0 0 <NA> 0.0000000 -1
## 280 0 0 <NA> 0.0000000 -1
## 281 0 0 <NA> 0.0000000 -1
## 282 0 0 <NA> 0.0000000 -1
## 283 0 0 <NA> 0.0000000 -1
## 284 0 0 <NA> 0.0000000 -1
## 285 376 377 residual.sugar 7.2000000 1
## 286 378 379 pH 3.3250000 1
## 287 0 0 <NA> 0.0000000 -1
## 288 380 381 residual.sugar 1.1000000 1
## 289 382 383 fixed.acidity 6.2500000 1
## 290 0 0 <NA> 0.0000000 -1
## 291 0 0 <NA> 0.0000000 -1
## 292 384 385 citric.acid 0.2800000 1
## 293 386 387 volatile.acidity 0.1950000 1
## 294 388 389 density 0.9967100 1
## 295 390 391 total.sulfur.dioxide 169.5000000 1
## 296 392 393 chlorides 0.0575000 1
## 297 394 395 chlorides 0.0455000 1
## 298 396 397 free.sulfur.dioxide 42.5000000 1
## 299 0 0 <NA> 0.0000000 -1
## 300 398 399 pH 3.1200000 1
## 301 0 0 <NA> 0.0000000 -1
## 302 400 401 free.sulfur.dioxide 41.0000000 1
## 303 0 0 <NA> 0.0000000 -1
## 304 0 0 <NA> 0.0000000 -1
## 305 402 403 density 0.9956400 1
## 306 404 405 citric.acid 0.4750000 1
## 307 406 407 pH 3.0600000 1
## 308 408 409 citric.acid 0.6150000 1
## 309 410 411 total.sulfur.dioxide 178.5000000 1
## 310 412 413 volatile.acidity 0.4350000 1
## 311 414 415 fixed.acidity 7.9000000 1
## 312 416 417 pH 3.4250000 1
## 313 418 419 alcohol 9.9000000 1
## 314 420 421 chlorides 0.0510000 1
## 315 422 423 pH 3.0500000 1
## 316 0 0 <NA> 0.0000000 -1
## 317 0 0 <NA> 0.0000000 -1
## 318 0 0 <NA> 0.0000000 -1
## 319 424 425 residual.sugar 6.3500000 1
## 320 426 427 free.sulfur.dioxide 28.5000000 1
## 321 428 429 density 0.9962500 1
## 322 430 431 total.sulfur.dioxide 134.5000000 1
## 323 432 433 citric.acid 0.3700000 1
## 324 434 435 density 0.9939800 1
## 325 0 0 <NA> 0.0000000 -1
## 326 436 437 pH 3.2800000 1
## 327 438 439 fixed.acidity 6.8500000 1
## 328 0 0 <NA> 0.0000000 -1
## 329 440 441 total.sulfur.dioxide 162.0000000 1
## 330 0 0 <NA> 0.0000000 -1
## 331 442 443 total.sulfur.dioxide 190.7500000 1
## 332 444 445 residual.sugar 8.2500000 1
## 333 0 0 <NA> 0.0000000 -1
## 334 446 447 density 0.9904550 1
## 335 448 449 pH 2.9950000 1
## 336 450 451 total.sulfur.dioxide 77.5000000 1
## 337 452 453 free.sulfur.dioxide 43.0000000 1
## 338 454 455 sulphates 0.3850000 1
## 339 456 457 total.sulfur.dioxide 87.5000000 1
## 340 458 459 free.sulfur.dioxide 41.5000000 1
## 341 460 461 pH 3.3500000 1
## 342 0 0 <NA> 0.0000000 -1
## 343 462 463 residual.sugar 10.0000000 1
## 344 0 0 <NA> 0.0000000 -1
## 345 0 0 <NA> 0.0000000 -1
## 346 0 0 <NA> 0.0000000 -1
## 347 0 0 <NA> 0.0000000 -1
## 348 0 0 <NA> 0.0000000 -1
## 349 0 0 <NA> 0.0000000 -1
## 350 0 0 <NA> 0.0000000 -1
## 351 464 465 alcohol 11.8000000 1
## 352 0 0 <NA> 0.0000000 -1
## 353 466 467 residual.sugar 5.4250000 1
## 354 0 0 <NA> 0.0000000 -1
## 355 468 469 fixed.acidity 6.2500000 1
## 356 470 471 volatile.acidity 0.3400000 1
## 357 0 0 <NA> 0.0000000 -1
## 358 472 473 volatile.acidity 0.3600000 1
## 359 0 0 <NA> 0.0000000 -1
## 360 0 0 <NA> 0.0000000 -1
## 361 474 475 free.sulfur.dioxide 29.5000000 1
## 362 476 477 pH 3.1900000 1
## 363 0 0 <NA> 0.0000000 -1
## 364 0 0 <NA> 0.0000000 -1
## 365 0 0 <NA> 0.0000000 -1
## 366 478 479 free.sulfur.dioxide 34.5000000 1
## 367 0 0 <NA> 0.0000000 -1
## 368 0 0 <NA> 0.0000000 -1
## 369 0 0 <NA> 0.0000000 -1
## 370 480 481 total.sulfur.dioxide 121.5000000 1
## 371 482 483 citric.acid 0.3850000 1
## 372 484 485 sulphates 0.7200000 1
## 373 0 0 <NA> 0.0000000 -1
## 374 0 0 <NA> 0.0000000 -1
## 375 0 0 <NA> 0.0000000 -1
## 376 0 0 <NA> 0.0000000 -1
## 377 486 487 sulphates 0.6550000 1
## 378 488 489 residual.sugar 9.7000000 1
## 379 490 491 density 0.9970550 1
## 380 0 0 <NA> 0.0000000 -1
## 381 492 493 pH 3.1650000 1
## 382 494 495 volatile.acidity 0.4800000 1
## 383 496 497 pH 3.0250000 1
## 384 0 0 <NA> 0.0000000 -1
## 385 498 499 total.sulfur.dioxide 147.5000000 1
## 386 500 501 free.sulfur.dioxide 20.5000000 1
## 387 502 503 free.sulfur.dioxide 38.0000000 1
## 388 504 505 volatile.acidity 0.1700000 1
## 389 0 0 <NA> 0.0000000 -1
## 390 506 507 fixed.acidity 7.3500000 1
## 391 508 509 free.sulfur.dioxide 51.0000000 1
## 392 510 511 residual.sugar 14.7500000 1
## 393 512 513 residual.sugar 8.3000000 1
## 394 514 515 total.sulfur.dioxide 96.5000000 1
## 395 516 517 fixed.acidity 8.1500000 1
## 396 518 519 chlorides 0.0335000 1
## 397 520 521 fixed.acidity 6.2500000 1
## 398 0 0 <NA> 0.0000000 -1
## 399 0 0 <NA> 0.0000000 -1
## 400 0 0 <NA> 0.0000000 -1
## 401 522 523 citric.acid 0.2850000 1
## 402 0 0 <NA> 0.0000000 -1
## 403 0 0 <NA> 0.0000000 -1
## 404 0 0 <NA> 0.0000000 -1
## 405 524 525 sulphates 0.4100000 1
## 406 0 0 <NA> 0.0000000 -1
## 407 0 0 <NA> 0.0000000 -1
## 408 0 0 <NA> 0.0000000 -1
## 409 0 0 <NA> 0.0000000 -1
## 410 0 0 <NA> 0.0000000 -1
## 411 526 527 citric.acid 0.4850000 1
## 412 528 529 residual.sugar 15.4500000 1
## 413 0 0 <NA> 0.0000000 -1
## 414 530 531 chlorides 0.0410000 1
## 415 532 533 fixed.acidity 8.4000000 1
## 416 534 535 total.sulfur.dioxide 142.0000000 1
## 417 0 0 <NA> 0.0000000 -1
## 418 536 537 free.sulfur.dioxide 46.5000000 1
## 419 0 0 <NA> 0.0000000 -1
## 420 538 539 volatile.acidity 0.2800000 1
## 421 540 541 alcohol 8.9000000 1
## 422 0 0 <NA> 0.0000000 -1
## 423 542 543 citric.acid 0.5150000 1
## 424 0 0 <NA> 0.0000000 -1
## 425 0 0 <NA> 0.0000000 -1
## 426 544 545 total.sulfur.dioxide 140.5000000 1
## 427 546 547 alcohol 10.4500000 1
## 428 0 0 <NA> 0.0000000 -1
## 429 548 549 density 0.9967700 1
## 430 550 551 free.sulfur.dioxide 27.0000000 1
## 431 0 0 <NA> 0.0000000 -1
## 432 552 553 density 0.9908500 1
## 433 0 0 <NA> 0.0000000 -1
## 434 0 0 <NA> 0.0000000 -1
## 435 0 0 <NA> 0.0000000 -1
## 436 0 0 <NA> 0.0000000 -1
## 437 0 0 <NA> 0.0000000 -1
## 438 554 555 residual.sugar 4.0500000 1
## 439 556 557 volatile.acidity 0.1450000 1
## 440 0 0 <NA> 0.0000000 -1
## 441 0 0 <NA> 0.0000000 -1
## 442 558 559 fixed.acidity 6.8000000 1
## 443 0 0 <NA> 0.0000000 -1
## 444 0 0 <NA> 0.0000000 -1
## 445 560 561 alcohol 11.2000000 1
## 446 0 0 <NA> 0.0000000 -1
## 447 562 563 total.sulfur.dioxide 119.0000000 1
## 448 564 565 density 0.9949100 1
## 449 566 567 citric.acid 0.5200000 1
## 450 568 569 citric.acid 0.3600000 1
## 451 570 571 residual.sugar 16.1250000 1
## 452 572 573 residual.sugar 5.9500000 1
## 453 574 575 residual.sugar 1.6500000 1
## 454 576 577 total.sulfur.dioxide 105.5000000 1
## 455 578 579 volatile.acidity 0.3300000 1
## 456 0 0 <NA> 0.0000000 -1
## 457 0 0 <NA> 0.0000000 -1
## 458 580 581 chlorides 0.0535000 1
## 459 582 583 alcohol 10.7000000 1
## 460 584 585 volatile.acidity 0.4350000 1
## 461 0 0 <NA> 0.0000000 -1
## 462 586 587 total.sulfur.dioxide 141.5000000 1
## 463 588 589 total.sulfur.dioxide 96.0000000 1
## 464 0 0 <NA> 0.0000000 -1
## 465 0 0 <NA> 0.0000000 -1
## 466 590 591 fixed.acidity 5.7500000 1
## 467 0 0 <NA> 0.0000000 -1
## 468 592 593 citric.acid 0.2500000 1
## 469 594 595 total.sulfur.dioxide 115.0000000 1
## 470 0 0 <NA> 0.0000000 -1
## 471 0 0 <NA> 0.0000000 -1
## 472 0 0 <NA> 0.0000000 -1
## 473 0 0 <NA> 0.0000000 -1
## 474 0 0 <NA> 0.0000000 -1
## 475 596 597 alcohol 11.5500000 1
## 476 0 0 <NA> 0.0000000 -1
## 477 0 0 <NA> 0.0000000 -1
## 478 598 599 residual.sugar 1.9500000 1
## 479 600 601 pH 3.2800000 1
## 480 602 603 density 0.9884650 1
## 481 604 605 density 0.9900700 1
## 482 606 607 volatile.acidity 0.3750000 1
## 483 0 0 <NA> 0.0000000 -1
## 484 0 0 <NA> 0.0000000 -1
## 485 608 609 total.sulfur.dioxide 93.0000000 1
## 486 610 611 chlorides 0.0585000 1
## 487 0 0 <NA> 0.0000000 -1
## 488 612 613 fixed.acidity 7.5500000 1
## 489 614 615 chlorides 0.0495000 1
## 490 616 617 total.sulfur.dioxide 213.5000000 1
## 491 618 619 total.sulfur.dioxide 146.5000000 1
## 492 620 621 density 0.9991300 1
## 493 622 623 alcohol 9.7000000 1
## 494 624 625 residual.sugar 7.3000000 1
## 495 0 0 <NA> 0.0000000 -1
## 496 0 0 <NA> 0.0000000 -1
## 497 626 627 fixed.acidity 6.4500000 1
## 498 628 629 chlorides 0.0385000 1
## 499 0 0 <NA> 0.0000000 -1
## 500 0 0 <NA> 0.0000000 -1
## 501 0 0 <NA> 0.0000000 -1
## 502 0 0 <NA> 0.0000000 -1
## 503 0 0 <NA> 0.0000000 -1
## 504 0 0 <NA> 0.0000000 -1
## 505 0 0 <NA> 0.0000000 -1
## 506 630 631 alcohol 8.9000000 1
## 507 632 633 sulphates 0.5450000 1
## 508 634 635 free.sulfur.dioxide 48.5000000 1
## 509 636 637 residual.sugar 16.6000000 1
## 510 638 639 total.sulfur.dioxide 164.0000000 1
## 511 640 641 free.sulfur.dioxide 25.0000000 1
## 512 642 643 free.sulfur.dioxide 64.5000000 1
## 513 0 0 <NA> 0.0000000 -1
## 514 0 0 <NA> 0.0000000 -1
## 515 644 645 sulphates 0.5350000 1
## 516 646 647 citric.acid 0.3450000 1
## 517 648 649 pH 3.2350000 1
## 518 0 0 <NA> 0.0000000 -1
## 519 650 651 volatile.acidity 0.4350000 1
## 520 0 0 <NA> 0.0000000 -1
## 521 652 653 free.sulfur.dioxide 62.0000000 1
## 522 0 0 <NA> 0.0000000 -1
## 523 654 655 chlorides 0.0425000 1
## 524 0 0 <NA> 0.0000000 -1
## 525 656 657 residual.sugar 6.8000000 1
## 526 0 0 <NA> 0.0000000 -1
## 527 0 0 <NA> 0.0000000 -1
## 528 658 659 fixed.acidity 7.0500000 1
## 529 0 0 <NA> 0.0000000 -1
## 530 0 0 <NA> 0.0000000 -1
## 531 0 0 <NA> 0.0000000 -1
## 532 0 0 <NA> 0.0000000 -1
## 533 0 0 <NA> 0.0000000 -1
## 534 660 661 citric.acid 0.6000000 1
## 535 662 663 total.sulfur.dioxide 199.5000000 1
## 536 664 665 fixed.acidity 7.2500000 1
## 537 0 0 <NA> 0.0000000 -1
## 538 0 0 <NA> 0.0000000 -1
## 539 0 0 <NA> 0.0000000 -1
## 540 0 0 <NA> 0.0000000 -1
## 541 666 667 sulphates 0.7050000 1
## 542 0 0 <NA> 0.0000000 -1
## 543 0 0 <NA> 0.0000000 -1
## 544 668 669 pH 3.1000000 1
## 545 0 0 <NA> 0.0000000 -1
## 546 0 0 <NA> 0.0000000 -1
## 547 0 0 <NA> 0.0000000 -1
## 548 0 0 <NA> 0.0000000 -1
## 549 0 0 <NA> 0.0000000 -1
## 550 0 0 <NA> 0.0000000 -1
## 551 670 671 total.sulfur.dioxide 132.0000000 1
## 552 672 673 alcohol 11.3500000 1
## 553 0 0 <NA> 0.0000000 -1
## 554 674 675 density 0.9914400 1
## 555 676 677 total.sulfur.dioxide 121.5000000 1
## 556 0 0 <NA> 0.0000000 -1
## 557 678 679 free.sulfur.dioxide 29.5000000 1
## 558 680 681 alcohol 10.2500000 1
## 559 0 0 <NA> 0.0000000 -1
## 560 0 0 <NA> 0.0000000 -1
## 561 0 0 <NA> 0.0000000 -1
## 562 682 683 total.sulfur.dioxide 115.5000000 1
## 563 684 685 alcohol 11.0500000 1
## 564 0 0 <NA> 0.0000000 -1
## 565 0 0 <NA> 0.0000000 -1
## 566 686 687 residual.sugar 1.0500000 1
## 567 0 0 <NA> 0.0000000 -1
## 568 0 0 <NA> 0.0000000 -1
## 569 0 0 <NA> 0.0000000 -1
## 570 688 689 free.sulfur.dioxide 32.5000000 1
## 571 0 0 <NA> 0.0000000 -1
## 572 690 691 free.sulfur.dioxide 37.5000000 1
## 573 692 693 chlorides 0.0545000 1
## 574 0 0 <NA> 0.0000000 -1
## 575 694 695 volatile.acidity 0.2250000 1
## 576 0 0 <NA> 0.0000000 -1
## 577 696 697 free.sulfur.dioxide 48.0000000 1
## 578 698 699 sulphates 0.5350000 1
## 579 700 701 pH 3.0350000 1
## 580 702 703 density 0.9916500 1
## 581 704 705 total.sulfur.dioxide 114.0000000 1
## 582 706 707 sulphates 0.5050000 1
## 583 708 709 total.sulfur.dioxide 251.2500000 1
## 584 710 711 alcohol 11.2500000 1
## 585 712 713 free.sulfur.dioxide 29.5000000 1
## 586 0 0 <NA> 0.0000000 -1
## 587 714 715 residual.sugar 9.0750000 1
## 588 0 0 <NA> 0.0000000 -1
## 589 716 717 volatile.acidity 0.2600000 1
## 590 0 0 <NA> 0.0000000 -1
## 591 718 719 free.sulfur.dioxide 29.5000000 1
## 592 0 0 <NA> 0.0000000 -1
## 593 720 721 fixed.acidity 5.5000000 1
## 594 722 723 pH 3.1200000 1
## 595 724 725 total.sulfur.dioxide 158.5000000 1
## 596 726 727 pH 2.9750000 1
## 597 0 0 <NA> 0.0000000 -1
## 598 728 729 volatile.acidity 0.3600000 1
## 599 730 731 pH 3.4050000 1
## 600 732 733 total.sulfur.dioxide 92.5000000 1
## 601 734 735 sulphates 0.6050000 1
## 602 736 737 fixed.acidity 5.9000000 1
## 603 738 739 density 0.9889100 1
## 604 0 0 <NA> 0.0000000 -1
## 605 0 0 <NA> 0.0000000 -1
## 606 740 741 free.sulfur.dioxide 43.0000000 1
## 607 0 0 <NA> 0.0000000 -1
## 608 0 0 <NA> 0.0000000 -1
## 609 0 0 <NA> 0.0000000 -1
## 610 0 0 <NA> 0.0000000 -1
## 611 742 743 density 0.9977100 1
## 612 744 745 total.sulfur.dioxide 139.5000000 1
## 613 0 0 <NA> 0.0000000 -1
## 614 746 747 density 0.9986750 1
## 615 748 749 sulphates 0.5450000 1
## 616 0 0 <NA> 0.0000000 -1
## 617 0 0 <NA> 0.0000000 -1
## 618 0 0 <NA> 0.0000000 -1
## 619 0 0 <NA> 0.0000000 -1
## 620 0 0 <NA> 0.0000000 -1
## 621 0 0 <NA> 0.0000000 -1
## 622 750 751 total.sulfur.dioxide 179.5000000 1
## 623 0 0 <NA> 0.0000000 -1
## 624 0 0 <NA> 0.0000000 -1
## 625 0 0 <NA> 0.0000000 -1
## 626 752 753 residual.sugar 5.4500000 1
## 627 0 0 <NA> 0.0000000 -1
## 628 0 0 <NA> 0.0000000 -1
## 629 754 755 residual.sugar 17.7500000 1
## 630 0 0 <NA> 0.0000000 -1
## 631 0 0 <NA> 0.0000000 -1
## 632 756 757 free.sulfur.dioxide 38.5000000 1
## 633 0 0 <NA> 0.0000000 -1
## 634 758 759 density 0.9984000 1
## 635 0 0 <NA> 0.0000000 -1
## 636 0 0 <NA> 0.0000000 -1
## 637 0 0 <NA> 0.0000000 -1
## 638 0 0 <NA> 0.0000000 -1
## 639 760 761 total.sulfur.dioxide 181.5000000 1
## 640 0 0 <NA> 0.0000000 -1
## 641 0 0 <NA> 0.0000000 -1
## 642 0 0 <NA> 0.0000000 -1
## 643 0 0 <NA> 0.0000000 -1
## 644 762 763 fixed.acidity 6.7500000 1
## 645 764 765 volatile.acidity 0.2650000 1
## 646 766 767 total.sulfur.dioxide 187.5000000 1
## 647 768 769 density 0.9968500 1
## 648 770 771 pH 2.9750000 1
## 649 0 0 <NA> 0.0000000 -1
## 650 772 773 chlorides 0.1580000 1
## 651 0 0 <NA> 0.0000000 -1
## 652 774 775 residual.sugar 6.6000000 1
## 653 0 0 <NA> 0.0000000 -1
## 654 0 0 <NA> 0.0000000 -1
## 655 0 0 <NA> 0.0000000 -1
## 656 0 0 <NA> 0.0000000 -1
## 657 0 0 <NA> 0.0000000 -1
## 658 776 777 citric.acid 0.4450000 1
## 659 778 779 total.sulfur.dioxide 163.0000000 1
## 660 780 781 pH 3.0800000 1
## 661 0 0 <NA> 0.0000000 -1
## 662 0 0 <NA> 0.0000000 -1
## 663 782 783 alcohol 9.5500000 1
## 664 0 0 <NA> 0.0000000 -1
## 665 0 0 <NA> 0.0000000 -1
## 666 784 785 sulphates 0.5450000 1
## 667 0 0 <NA> 0.0000000 -1
## 668 0 0 <NA> 0.0000000 -1
## 669 0 0 <NA> 0.0000000 -1
## 670 786 787 volatile.acidity 0.2500000 1
## 671 0 0 <NA> 0.0000000 -1
## 672 0 0 <NA> 0.0000000 -1
## 673 0 0 <NA> 0.0000000 -1
## 674 788 789 fixed.acidity 6.6500000 1
## 675 790 791 volatile.acidity 0.1550000 1
## 676 0 0 <NA> 0.0000000 -1
## 677 792 793 alcohol 10.2500000 1
## 678 794 795 volatile.acidity 0.2450000 1
## 679 0 0 <NA> 0.0000000 -1
## 680 796 797 residual.sugar 8.4000000 1
## 681 798 799 density 0.9945900 1
## 682 800 801 sulphates 0.4350000 1
## 683 0 0 <NA> 0.0000000 -1
## 684 802 803 volatile.acidity 0.1900000 1
## 685 0 0 <NA> 0.0000000 -1
## 686 0 0 <NA> 0.0000000 -1
## 687 804 805 volatile.acidity 0.3650000 1
## 688 806 807 chlorides 0.0565000 1
## 689 808 809 volatile.acidity 0.2325000 1
## 690 810 811 pH 3.3650000 1
## 691 812 813 alcohol 10.4500000 1
## 692 0 0 <NA> 0.0000000 -1
## 693 814 815 total.sulfur.dioxide 185.0000000 1
## 694 816 817 alcohol 10.9500000 1
## 695 818 819 volatile.acidity 0.3250000 1
## 696 820 821 free.sulfur.dioxide 21.0000000 1
## 697 0 0 <NA> 0.0000000 -1
## 698 0 0 <NA> 0.0000000 -1
## 699 822 823 citric.acid 0.3750000 1
## 700 824 825 density 0.9918850 1
## 701 0 0 <NA> 0.0000000 -1
## 702 826 827 chlorides 0.0480000 1
## 703 828 829 residual.sugar 0.9500000 1
## 704 0 0 <NA> 0.0000000 -1
## 705 830 831 density 0.9917300 1
## 706 0 0 <NA> 0.0000000 -1
## 707 0 0 <NA> 0.0000000 -1
## 708 0 0 <NA> 0.0000000 -1
## 709 0 0 <NA> 0.0000000 -1
## 710 832 833 volatile.acidity 0.2400000 1
## 711 0 0 <NA> 0.0000000 -1
## 712 0 0 <NA> 0.0000000 -1
## 713 0 0 <NA> 0.0000000 -1
## 714 834 835 alcohol 10.4000000 1
## 715 836 837 fixed.acidity 8.1500000 1
## 716 0 0 <NA> 0.0000000 -1
## 717 838 839 fixed.acidity 9.0000000 1
## 718 840 841 alcohol 11.7500000 1
## 719 842 843 chlorides 0.0320000 1
## 720 844 845 fixed.acidity 5.1500000 1
## 721 846 847 pH 3.3600000 1
## 722 0 0 <NA> 0.0000000 -1
## 723 848 849 sulphates 0.4050000 1
## 724 850 851 total.sulfur.dioxide 124.0000000 1
## 725 852 853 citric.acid 0.3350000 1
## 726 0 0 <NA> 0.0000000 -1
## 727 0 0 <NA> 0.0000000 -1
## 728 854 855 total.sulfur.dioxide 135.5000000 1
## 729 0 0 <NA> 0.0000000 -1
## 730 856 857 citric.acid 0.2350000 1
## 731 858 859 volatile.acidity 0.3800000 1
## 732 0 0 <NA> 0.0000000 -1
## 733 860 861 fixed.acidity 6.7000000 1
## 734 862 863 alcohol 11.9000000 1
## 735 0 0 <NA> 0.0000000 -1
## 736 0 0 <NA> 0.0000000 -1
## 737 864 865 alcohol 13.6500000 1
## 738 0 0 <NA> 0.0000000 -1
## 739 866 867 density 0.9889400 1
## 740 868 869 volatile.acidity 0.3050000 1
## 741 0 0 <NA> 0.0000000 -1
## 742 0 0 <NA> 0.0000000 -1
## 743 0 0 <NA> 0.0000000 -1
## 744 870 871 total.sulfur.dioxide 136.5000000 1
## 745 872 873 chlorides 0.0385000 1
## 746 874 875 volatile.acidity 0.2200000 1
## 747 0 0 <NA> 0.0000000 -1
## 748 0 0 <NA> 0.0000000 -1
## 749 876 877 volatile.acidity 0.2550000 1
## 750 0 0 <NA> 0.0000000 -1
## 751 878 879 density 0.9968000 1
## 752 880 881 free.sulfur.dioxide 52.5000000 1
## 753 0 0 <NA> 0.0000000 -1
## 754 0 0 <NA> 0.0000000 -1
## 755 0 0 <NA> 0.0000000 -1
## 756 0 0 <NA> 0.0000000 -1
## 757 0 0 <NA> 0.0000000 -1
## 758 0 0 <NA> 0.0000000 -1
## 759 882 883 total.sulfur.dioxide 198.5000000 1
## 760 884 885 pH 3.2900000 1
## 761 886 887 citric.acid 0.2950000 1
## 762 888 889 density 0.9974500 1
## 763 890 891 alcohol 9.5500000 1
## 764 892 893 sulphates 0.7550000 1
## 765 0 0 <NA> 0.0000000 -1
## 766 894 895 free.sulfur.dioxide 22.0000000 1
## 767 896 897 density 0.9971000 1
## 768 898 899 alcohol 9.4000000 1
## 769 900 901 volatile.acidity 0.2000000 1
## 770 902 903 chlorides 0.0520000 1
## 771 0 0 <NA> 0.0000000 -1
## 772 904 905 free.sulfur.dioxide 38.5000000 1
## 773 0 0 <NA> 0.0000000 -1
## 774 0 0 <NA> 0.0000000 -1
## 775 906 907 total.sulfur.dioxide 234.5000000 1
## 776 0 0 <NA> 0.0000000 -1
## 777 908 909 citric.acid 0.4950000 1
## 778 910 911 volatile.acidity 0.3800000 1
## 779 0 0 <NA> 0.0000000 -1
## 780 0 0 <NA> 0.0000000 -1
## 781 912 913 density 0.9931700 1
## 782 0 0 <NA> 0.0000000 -1
## 783 0 0 <NA> 0.0000000 -1
## 784 0 0 <NA> 0.0000000 -1
## 785 0 0 <NA> 0.0000000 -1
## 786 0 0 <NA> 0.0000000 -1
## 787 0 0 <NA> 0.0000000 -1
## 788 914 915 pH 3.2400000 1
## 789 916 917 density 0.9905850 1
## 790 0 0 <NA> 0.0000000 -1
## 791 918 919 citric.acid 0.3550000 1
## 792 0 0 <NA> 0.0000000 -1
## 793 920 921 citric.acid 0.2050000 1
## 794 0 0 <NA> 0.0000000 -1
## 795 0 0 <NA> 0.0000000 -1
## 796 0 0 <NA> 0.0000000 -1
## 797 0 0 <NA> 0.0000000 -1
## 798 922 923 sulphates 0.4250000 1
## 799 0 0 <NA> 0.0000000 -1
## 800 0 0 <NA> 0.0000000 -1
## 801 0 0 <NA> 0.0000000 -1
## 802 0 0 <NA> 0.0000000 -1
## 803 0 0 <NA> 0.0000000 -1
## 804 924 925 pH 3.0450000 1
## 805 926 927 density 0.9927500 1
## 806 928 929 total.sulfur.dioxide 131.5000000 1
## 807 930 931 residual.sugar 1.4500000 1
## 808 932 933 volatile.acidity 0.2150000 1
## 809 934 935 free.sulfur.dioxide 37.0000000 1
## 810 0 0 <NA> 0.0000000 -1
## 811 936 937 volatile.acidity 0.3000000 1
## 812 0 0 <NA> 0.0000000 -1
## 813 938 939 density 0.9921100 1
## 814 0 0 <NA> 0.0000000 -1
## 815 0 0 <NA> 0.0000000 -1
## 816 940 941 residual.sugar 11.7500000 1
## 817 0 0 <NA> 0.0000000 -1
## 818 0 0 <NA> 0.0000000 -1
## 819 0 0 <NA> 0.0000000 -1
## 820 0 0 <NA> 0.0000000 -1
## 821 942 943 free.sulfur.dioxide 28.0000000 1
## 822 944 945 citric.acid 0.2950000 1
## 823 0 0 <NA> 0.0000000 -1
## 824 0 0 <NA> 0.0000000 -1
## 825 946 947 free.sulfur.dioxide 28.5000000 1
## 826 948 949 citric.acid 0.3050000 1
## 827 0 0 <NA> 0.0000000 -1
## 828 0 0 <NA> 0.0000000 -1
## 829 950 951 pH 3.2450000 1
## 830 0 0 <NA> 0.0000000 -1
## 831 952 953 citric.acid 0.3950000 1
## 832 954 955 volatile.acidity 0.2150000 1
## 833 956 957 alcohol 11.1000000 1
## 834 0 0 <NA> 0.0000000 -1
## 835 958 959 fixed.acidity 8.0500000 1
## 836 0 0 <NA> 0.0000000 -1
## 837 0 0 <NA> 0.0000000 -1
## 838 960 961 sulphates 0.4200000 1
## 839 962 963 fixed.acidity 9.1500000 1
## 840 964 965 fixed.acidity 6.2500000 1
## 841 966 967 pH 3.0550000 1
## 842 968 969 citric.acid 0.2550000 1
## 843 0 0 <NA> 0.0000000 -1
## 844 0 0 <NA> 0.0000000 -1
## 845 0 0 <NA> 0.0000000 -1
## 846 970 971 free.sulfur.dioxide 56.0000000 1
## 847 0 0 <NA> 0.0000000 -1
## 848 0 0 <NA> 0.0000000 -1
## 849 0 0 <NA> 0.0000000 -1
## 850 972 973 residual.sugar 4.7500000 1
## 851 0 0 <NA> 0.0000000 -1
## 852 0 0 <NA> 0.0000000 -1
## 853 0 0 <NA> 0.0000000 -1
## 854 974 975 total.sulfur.dioxide 109.0000000 1
## 855 0 0 <NA> 0.0000000 -1
## 856 0 0 <NA> 0.0000000 -1
## 857 976 977 sulphates 0.6600000 1
## 858 0 0 <NA> 0.0000000 -1
## 859 0 0 <NA> 0.0000000 -1
## 860 0 0 <NA> 0.0000000 -1
## 861 0 0 <NA> 0.0000000 -1
## 862 0 0 <NA> 0.0000000 -1
## 863 978 979 sulphates 0.5500000 1
## 864 0 0 <NA> 0.0000000 -1
## 865 0 0 <NA> 0.0000000 -1
## 866 0 0 <NA> 0.0000000 -1
## 867 980 981 chlorides 0.0550000 1
## 868 0 0 <NA> 0.0000000 -1
## 869 0 0 <NA> 0.0000000 -1
## 870 0 0 <NA> 0.0000000 -1
## 871 0 0 <NA> 0.0000000 -1
## 872 0 0 <NA> 0.0000000 -1
## 873 0 0 <NA> 0.0000000 -1
## 874 0 0 <NA> 0.0000000 -1
## 875 0 0 <NA> 0.0000000 -1
## 876 0 0 <NA> 0.0000000 -1
## 877 0 0 <NA> 0.0000000 -1
## 878 982 983 density 0.9953900 1
## 879 0 0 <NA> 0.0000000 -1
## 880 0 0 <NA> 0.0000000 -1
## 881 0 0 <NA> 0.0000000 -1
## 882 0 0 <NA> 0.0000000 -1
## 883 0 0 <NA> 0.0000000 -1
## 884 0 0 <NA> 0.0000000 -1
## 885 984 985 citric.acid 0.2750000 1
## 886 0 0 <NA> 0.0000000 -1
## 887 0 0 <NA> 0.0000000 -1
## 888 0 0 <NA> 0.0000000 -1
## 889 0 0 <NA> 0.0000000 -1
## 890 986 987 density 0.9955000 1
## 891 988 989 chlorides 0.0385000 1
## 892 990 991 alcohol 9.7000000 1
## 893 0 0 <NA> 0.0000000 -1
## 894 0 0 <NA> 0.0000000 -1
## 895 992 993 chlorides 0.0615000 1
## 896 0 0 <NA> 0.0000000 -1
## 897 0 0 <NA> 0.0000000 -1
## 898 0 0 <NA> 0.0000000 -1
## 899 994 995 sulphates 0.6400000 1
## 900 0 0 <NA> 0.0000000 -1
## 901 996 997 citric.acid 0.3850000 1
## 902 0 0 <NA> 0.0000000 -1
## 903 0 0 <NA> 0.0000000 -1
## 904 998 999 free.sulfur.dioxide 37.0000000 1
## 905 0 0 <NA> 0.0000000 -1
## 906 1000 1001 pH 3.2100000 1
## 907 0 0 <NA> 0.0000000 -1
## 908 1002 1003 pH 3.2100000 1
## 909 1004 1005 free.sulfur.dioxide 34.0000000 1
## 910 1006 1007 chlorides 0.0365000 1
## 911 1008 1009 citric.acid 0.6200000 1
## 912 0 0 <NA> 0.0000000 -1
## 913 0 0 <NA> 0.0000000 -1
## 914 1010 1011 chlorides 0.0265000 1
## 915 1012 1013 sulphates 0.5550000 1
## 916 0 0 <NA> 0.0000000 -1
## 917 0 0 <NA> 0.0000000 -1
## 918 1014 1015 pH 3.4350000 1
## 919 1016 1017 citric.acid 0.3650000 1
## 920 0 0 <NA> 0.0000000 -1
## 921 1018 1019 pH 3.2350000 1
## 922 0 0 <NA> 0.0000000 -1
## 923 0 0 <NA> 0.0000000 -1
## 924 1020 1021 density 0.9936000 1
## 925 1022 1023 free.sulfur.dioxide 16.0000000 1
## 926 0 0 <NA> 0.0000000 -1
## 927 0 0 <NA> 0.0000000 -1
## 928 0 0 <NA> 0.0000000 -1
## 929 1024 1025 alcohol 11.0000000 1
## 930 0 0 <NA> 0.0000000 -1
## 931 0 0 <NA> 0.0000000 -1
## 932 0 0 <NA> 0.0000000 -1
## 933 1026 1027 residual.sugar 2.8000000 1
## 934 0 0 <NA> 0.0000000 -1
## 935 1028 1029 density 0.9929000 1
## 936 0 0 <NA> 0.0000000 -1
## 937 0 0 <NA> 0.0000000 -1
## 938 1030 1031 residual.sugar 1.9000000 1
## 939 0 0 <NA> 0.0000000 -1
## 940 0 0 <NA> 0.0000000 -1
## 941 1032 1033 volatile.acidity 0.1800000 1
## 942 0 0 <NA> 0.0000000 -1
## 943 1034 1035 pH 3.0350000 1
## 944 1036 1037 density 0.9914050 1
## 945 0 0 <NA> 0.0000000 -1
## 946 0 0 <NA> 0.0000000 -1
## 947 0 0 <NA> 0.0000000 -1
## 948 0 0 <NA> 0.0000000 -1
## 949 1038 1039 free.sulfur.dioxide 31.5000000 1
## 950 1040 1041 alcohol 10.9500000 1
## 951 1042 1043 volatile.acidity 0.1950000 1
## 952 1044 1045 total.sulfur.dioxide 140.5000000 1
## 953 0 0 <NA> 0.0000000 -1
## 954 1046 1047 alcohol 10.4500000 1
## 955 0 0 <NA> 0.0000000 -1
## 956 1048 1049 fixed.acidity 9.2000000 1
## 957 1050 1051 density 0.9935700 1
## 958 1052 1053 chlorides 0.0505000 1
## 959 0 0 <NA> 0.0000000 -1
## 960 0 0 <NA> 0.0000000 -1
## 961 1054 1055 density 0.9976950 1
## 962 0 0 <NA> 0.0000000 -1
## 963 0 0 <NA> 0.0000000 -1
## 964 0 0 <NA> 0.0000000 -1
## 965 0 0 <NA> 0.0000000 -1
## 966 0 0 <NA> 0.0000000 -1
## 967 1056 1057 density 0.9901550 1
## 968 0 0 <NA> 0.0000000 -1
## 969 1058 1059 total.sulfur.dioxide 99.0000000 1
## 970 0 0 <NA> 0.0000000 -1
## 971 0 0 <NA> 0.0000000 -1
## 972 0 0 <NA> 0.0000000 -1
## 973 0 0 <NA> 0.0000000 -1
## 974 1060 1061 citric.acid 0.3150000 1
## 975 1062 1063 fixed.acidity 6.4500000 1
## 976 0 0 <NA> 0.0000000 -1
## 977 1064 1065 total.sulfur.dioxide 174.0000000 1
## 978 0 0 <NA> 0.0000000 -1
## 979 0 0 <NA> 0.0000000 -1
## 980 0 0 <NA> 0.0000000 -1
## 981 0 0 <NA> 0.0000000 -1
## 982 0 0 <NA> 0.0000000 -1
## 983 0 0 <NA> 0.0000000 -1
## 984 0 0 <NA> 0.0000000 -1
## 985 0 0 <NA> 0.0000000 -1
## 986 0 0 <NA> 0.0000000 -1
## 987 1066 1067 total.sulfur.dioxide 170.0000000 1
## 988 0 0 <NA> 0.0000000 -1
## 989 1068 1069 free.sulfur.dioxide 43.0000000 1
## 990 0 0 <NA> 0.0000000 -1
## 991 1070 1071 pH 3.1450000 1
## 992 1072 1073 pH 3.3950000 1
## 993 1074 1075 total.sulfur.dioxide 120.7500000 1
## 994 1076 1077 residual.sugar 5.6500000 1
## 995 1078 1079 citric.acid 0.4000000 1
## 996 0 0 <NA> 0.0000000 -1
## 997 1080 1081 volatile.acidity 0.2550000 1
## 998 1082 1083 total.sulfur.dioxide 191.0000000 1
## 999 0 0 <NA> 0.0000000 -1
## 1000 1084 1085 residual.sugar 12.3250000 1
## 1001 0 0 <NA> 0.0000000 -1
## 1002 1086 1087 residual.sugar 6.4500000 1
## 1003 0 0 <NA> 0.0000000 -1
## 1004 0 0 <NA> 0.0000000 -1
## 1005 1088 1089 density 0.9956600 1
## 1006 0 0 <NA> 0.0000000 -1
## 1007 0 0 <NA> 0.0000000 -1
## 1008 0 0 <NA> 0.0000000 -1
## 1009 0 0 <NA> 0.0000000 -1
## 1010 0 0 <NA> 0.0000000 -1
## 1011 1090 1091 density 0.9914100 1
## 1012 1092 1093 total.sulfur.dioxide 62.5000000 1
## 1013 0 0 <NA> 0.0000000 -1
## 1014 1094 1095 fixed.acidity 6.6500000 1
## 1015 1096 1097 free.sulfur.dioxide 40.5000000 1
## 1016 1098 1099 free.sulfur.dioxide 25.0000000 1
## 1017 0 0 <NA> 0.0000000 -1
## 1018 0 0 <NA> 0.0000000 -1
## 1019 1100 1101 volatile.acidity 0.3300000 1
## 1020 0 0 <NA> 0.0000000 -1
## 1021 0 0 <NA> 0.0000000 -1
## 1022 1102 1103 citric.acid 0.4100000 1
## 1023 1104 1105 free.sulfur.dioxide 29.0000000 1
## 1024 0 0 <NA> 0.0000000 -1
## 1025 0 0 <NA> 0.0000000 -1
## 1026 0 0 <NA> 0.0000000 -1
## 1027 0 0 <NA> 0.0000000 -1
## 1028 0 0 <NA> 0.0000000 -1
## 1029 0 0 <NA> 0.0000000 -1
## 1030 0 0 <NA> 0.0000000 -1
## 1031 0 0 <NA> 0.0000000 -1
## 1032 0 0 <NA> 0.0000000 -1
## 1033 0 0 <NA> 0.0000000 -1
## 1034 0 0 <NA> 0.0000000 -1
## 1035 0 0 <NA> 0.0000000 -1
## 1036 0 0 <NA> 0.0000000 -1
## 1037 0 0 <NA> 0.0000000 -1
## 1038 0 0 <NA> 0.0000000 -1
## 1039 0 0 <NA> 0.0000000 -1
## 1040 1106 1107 citric.acid 0.2800000 1
## 1041 1108 1109 volatile.acidity 0.2650000 1
## 1042 0 0 <NA> 0.0000000 -1
## 1043 1110 1111 free.sulfur.dioxide 18.0000000 1
## 1044 0 0 <NA> 0.0000000 -1
## 1045 0 0 <NA> 0.0000000 -1
## 1046 0 0 <NA> 0.0000000 -1
## 1047 1112 1113 citric.acid 0.4100000 1
## 1048 1114 1115 pH 3.1550000 1
## 1049 0 0 <NA> 0.0000000 -1
## 1050 1116 1117 citric.acid 0.2500000 1
## 1051 0 0 <NA> 0.0000000 -1
## 1052 0 0 <NA> 0.0000000 -1
## 1053 0 0 <NA> 0.0000000 -1
## 1054 0 0 <NA> 0.0000000 -1
## 1055 1118 1119 citric.acid 0.4350000 1
## 1056 0 0 <NA> 0.0000000 -1
## 1057 1120 1121 volatile.acidity 0.2550000 1
## 1058 1122 1123 residual.sugar 3.6000000 1
## 1059 1124 1125 total.sulfur.dioxide 151.0000000 1
## 1060 1126 1127 chlorides 0.0395000 1
## 1061 0 0 <NA> 0.0000000 -1
## 1062 1128 1129 citric.acid 0.3150000 1
## 1063 0 0 <NA> 0.0000000 -1
## 1064 0 0 <NA> 0.0000000 -1
## 1065 0 0 <NA> 0.0000000 -1
## 1066 1130 1131 residual.sugar 7.7000000 1
## 1067 0 0 <NA> 0.0000000 -1
## 1068 1132 1133 free.sulfur.dioxide 38.0000000 1
## 1069 0 0 <NA> 0.0000000 -1
## 1070 0 0 <NA> 0.0000000 -1
## 1071 1134 1135 residual.sugar 4.7500000 1
## 1072 1136 1137 total.sulfur.dioxide 123.5000000 1
## 1073 1138 1139 chlorides 0.0550000 1
## 1074 1140 1141 volatile.acidity 0.1950000 1
## 1075 0 0 <NA> 0.0000000 -1
## 1076 1142 1143 total.sulfur.dioxide 164.0000000 1
## 1077 0 0 <NA> 0.0000000 -1
## 1078 0 0 <NA> 0.0000000 -1
## 1079 0 0 <NA> 0.0000000 -1
## 1080 0 0 <NA> 0.0000000 -1
## 1081 0 0 <NA> 0.0000000 -1
## 1082 1144 1145 pH 3.1000000 1
## 1083 1146 1147 sulphates 0.6900000 1
## 1084 0 0 <NA> 0.0000000 -1
## 1085 0 0 <NA> 0.0000000 -1
## 1086 0 0 <NA> 0.0000000 -1
## 1087 1148 1149 fixed.acidity 6.8500000 1
## 1088 1150 1151 density 0.9951050 1
## 1089 0 0 <NA> 0.0000000 -1
## 1090 0 0 <NA> 0.0000000 -1
## 1091 0 0 <NA> 0.0000000 -1
## 1092 0 0 <NA> 0.0000000 -1
## 1093 1152 1153 free.sulfur.dioxide 33.5000000 1
## 1094 1154 1155 alcohol 11.3500000 1
## 1095 1156 1157 alcohol 10.9500000 1
## 1096 1158 1159 sulphates 0.4600000 1
## 1097 0 0 <NA> 0.0000000 -1
## 1098 1160 1161 alcohol 11.1000000 1
## 1099 0 0 <NA> 0.0000000 -1
## 1100 0 0 <NA> 0.0000000 -1
## 1101 0 0 <NA> 0.0000000 -1
## 1102 1162 1163 citric.acid 0.2950000 1
## 1103 0 0 <NA> 0.0000000 -1
## 1104 0 0 <NA> 0.0000000 -1
## 1105 1164 1165 total.sulfur.dioxide 149.5000000 1
## 1106 0 0 <NA> 0.0000000 -1
## 1107 1166 1167 volatile.acidity 0.1650000 1
## 1108 1168 1169 density 0.9921500 1
## 1109 1170 1171 chlorides 0.0320000 1
## 1110 0 0 <NA> 0.0000000 -1
## 1111 1172 1173 pH 3.3900000 1
## 1112 0 0 <NA> 0.0000000 -1
## 1113 0 0 <NA> 0.0000000 -1
## 1114 0 0 <NA> 0.0000000 -1
## 1115 1174 1175 pH 3.2050000 1
## 1116 0 0 <NA> 0.0000000 -1
## 1117 0 0 <NA> 0.0000000 -1
## 1118 0 0 <NA> 0.0000000 -1
## 1119 0 0 <NA> 0.0000000 -1
## 1120 0 0 <NA> 0.0000000 -1
## 1121 0 0 <NA> 0.0000000 -1
## 1122 0 0 <NA> 0.0000000 -1
## 1123 0 0 <NA> 0.0000000 -1
## 1124 1176 1177 fixed.acidity 6.4500000 1
## 1125 0 0 <NA> 0.0000000 -1
## 1126 0 0 <NA> 0.0000000 -1
## 1127 0 0 <NA> 0.0000000 -1
## 1128 0 0 <NA> 0.0000000 -1
## 1129 0 0 <NA> 0.0000000 -1
## 1130 0 0 <NA> 0.0000000 -1
## 1131 1178 1179 alcohol 9.3000000 1
## 1132 1180 1181 pH 3.3050000 1
## 1133 0 0 <NA> 0.0000000 -1
## 1134 0 0 <NA> 0.0000000 -1
## 1135 1182 1183 density 0.9965250 1
## 1136 1184 1185 chlorides 0.0530000 1
## 1137 1186 1187 alcohol 9.9500000 1
## 1138 1188 1189 sulphates 0.3750000 1
## 1139 0 0 <NA> 0.0000000 -1
## 1140 0 0 <NA> 0.0000000 -1
## 1141 0 0 <NA> 0.0000000 -1
## 1142 1190 1191 density 0.9943000 1
## 1143 0 0 <NA> 0.0000000 -1
## 1144 1192 1193 pH 3.0700000 1
## 1145 0 0 <NA> 0.0000000 -1
## 1146 1194 1195 sulphates 0.4950000 1
## 1147 0 0 <NA> 0.0000000 -1
## 1148 1196 1197 alcohol 9.3500000 1
## 1149 0 0 <NA> 0.0000000 -1
## 1150 0 0 <NA> 0.0000000 -1
## 1151 1198 1199 volatile.acidity 0.2650000 1
## 1152 1200 1201 sulphates 0.4700000 1
## 1153 0 0 <NA> 0.0000000 -1
## 1154 0 0 <NA> 0.0000000 -1
## 1155 0 0 <NA> 0.0000000 -1
## 1156 0 0 <NA> 0.0000000 -1
## 1157 0 0 <NA> 0.0000000 -1
## 1158 0 0 <NA> 0.0000000 -1
## 1159 0 0 <NA> 0.0000000 -1
## 1160 0 0 <NA> 0.0000000 -1
## 1161 0 0 <NA> 0.0000000 -1
## 1162 0 0 <NA> 0.0000000 -1
## 1163 0 0 <NA> 0.0000000 -1
## 1164 1202 1203 pH 3.0850000 1
## 1165 1204 1205 sulphates 0.4850000 1
## 1166 0 0 <NA> 0.0000000 -1
## 1167 1206 1207 residual.sugar 1.6500000 1
## 1168 0 0 <NA> 0.0000000 -1
## 1169 0 0 <NA> 0.0000000 -1
## 1170 0 0 <NA> 0.0000000 -1
## 1171 0 0 <NA> 0.0000000 -1
## 1172 0 0 <NA> 0.0000000 -1
## 1173 0 0 <NA> 0.0000000 -1
## 1174 0 0 <NA> 0.0000000 -1
## 1175 0 0 <NA> 0.0000000 -1
## 1176 1208 1209 alcohol 12.1500000 1
## 1177 0 0 <NA> 0.0000000 -1
## 1178 0 0 <NA> 0.0000000 -1
## 1179 0 0 <NA> 0.0000000 -1
## 1180 0 0 <NA> 0.0000000 -1
## 1181 1210 1211 citric.acid 0.3500000 1
## 1182 0 0 <NA> 0.0000000 -1
## 1183 0 0 <NA> 0.0000000 -1
## 1184 1212 1213 density 0.9967900 1
## 1185 0 0 <NA> 0.0000000 -1
## 1186 1214 1215 total.sulfur.dioxide 145.5000000 1
## 1187 1216 1217 sulphates 0.5400000 1
## 1188 0 0 <NA> 0.0000000 -1
## 1189 0 0 <NA> 0.0000000 -1
## 1190 0 0 <NA> 0.0000000 -1
## 1191 0 0 <NA> 0.0000000 -1
## 1192 0 0 <NA> 0.0000000 -1
## 1193 0 0 <NA> 0.0000000 -1
## 1194 0 0 <NA> 0.0000000 -1
## 1195 1218 1219 volatile.acidity 0.3100000 1
## 1196 0 0 <NA> 0.0000000 -1
## 1197 1220 1221 chlorides 0.0435000 1
## 1198 0 0 <NA> 0.0000000 -1
## 1199 0 0 <NA> 0.0000000 -1
## 1200 0 0 <NA> 0.0000000 -1
## 1201 1222 1223 free.sulfur.dioxide 25.0000000 1
## 1202 0 0 <NA> 0.0000000 -1
## 1203 1224 1225 citric.acid 0.3450000 1
## 1204 1226 1227 total.sulfur.dioxide 159.5000000 1
## 1205 1228 1229 volatile.acidity 0.2550000 1
## 1206 1230 1231 free.sulfur.dioxide 35.5000000 1
## 1207 1232 1233 total.sulfur.dioxide 116.5000000 1
## 1208 0 0 <NA> 0.0000000 -1
## 1209 0 0 <NA> 0.0000000 -1
## 1210 0 0 <NA> 0.0000000 -1
## 1211 0 0 <NA> 0.0000000 -1
## 1212 1234 1235 citric.acid 0.2950000 1
## 1213 0 0 <NA> 0.0000000 -1
## 1214 1236 1237 residual.sugar 12.1500000 1
## 1215 0 0 <NA> 0.0000000 -1
## 1216 0 0 <NA> 0.0000000 -1
## 1217 0 0 <NA> 0.0000000 -1
## 1218 0 0 <NA> 0.0000000 -1
## 1219 0 0 <NA> 0.0000000 -1
## 1220 0 0 <NA> 0.0000000 -1
## 1221 0 0 <NA> 0.0000000 -1
## 1222 0 0 <NA> 0.0000000 -1
## 1223 1238 1239 citric.acid 0.3150000 1
## 1224 1240 1241 residual.sugar 11.0000000 1
## 1225 1242 1243 fixed.acidity 5.9000000 1
## 1226 0 0 <NA> 0.0000000 -1
## 1227 0 0 <NA> 0.0000000 -1
## 1228 0 0 <NA> 0.0000000 -1
## 1229 1244 1245 fixed.acidity 6.3000000 1
## 1230 0 0 <NA> 0.0000000 -1
## 1231 1246 1247 fixed.acidity 7.5500000 1
## 1232 0 0 <NA> 0.0000000 -1
## 1233 1248 1249 residual.sugar 2.1000000 1
## 1234 1250 1251 free.sulfur.dioxide 28.5000000 1
## 1235 0 0 <NA> 0.0000000 -1
## 1236 0 0 <NA> 0.0000000 -1
## 1237 0 0 <NA> 0.0000000 -1
## 1238 0 0 <NA> 0.0000000 -1
## 1239 0 0 <NA> 0.0000000 -1
## 1240 1252 1253 citric.acid 0.2450000 1
## 1241 1254 1255 pH 3.2250000 1
## 1242 0 0 <NA> 0.0000000 -1
## 1243 0 0 <NA> 0.0000000 -1
## 1244 0 0 <NA> 0.0000000 -1
## 1245 1256 1257 citric.acid 0.2700000 1
## 1246 0 0 <NA> 0.0000000 -1
## 1247 0 0 <NA> 0.0000000 -1
## 1248 1258 1259 chlorides 0.0390000 1
## 1249 0 0 <NA> 0.0000000 -1
## 1250 0 0 <NA> 0.0000000 -1
## 1251 0 0 <NA> 0.0000000 -1
## 1252 1260 1261 sulphates 0.5450000 1
## 1253 1262 1263 pH 3.1400000 1
## 1254 0 0 <NA> 0.0000000 -1
## 1255 0 0 <NA> 0.0000000 -1
## 1256 0 0 <NA> 0.0000000 -1
## 1257 0 0 <NA> 0.0000000 -1
## 1258 0 0 <NA> 0.0000000 -1
## 1259 0 0 <NA> 0.0000000 -1
## 1260 0 0 <NA> 0.0000000 -1
## 1261 0 0 <NA> 0.0000000 -1
## 1262 1264 1265 chlorides 0.0480000 1
## 1263 0 0 <NA> 0.0000000 -1
## 1264 0 0 <NA> 0.0000000 -1
## 1265 0 0 <NA> 0.0000000 -1
## prediction
## 1 <NA>
## 2 <NA>
## 3 <NA>
## 4 <NA>
## 5 <NA>
## 6 <NA>
## 7 <NA>
## 8 <NA>
## 9 <NA>
## 10 <NA>
## 11 <NA>
## 12 <NA>
## 13 <NA>
## 14 <NA>
## 15 <NA>
## 16 <NA>
## 17 <NA>
## 18 <NA>
## 19 <NA>
## 20 bad
## 21 <NA>
## 22 <NA>
## 23 <NA>
## 24 <NA>
## 25 <NA>
## 26 <NA>
## 27 <NA>
## 28 <NA>
## 29 <NA>
## 30 normal
## 31 <NA>
## 32 <NA>
## 33 <NA>
## 34 <NA>
## 35 <NA>
## 36 <NA>
## 37 <NA>
## 38 <NA>
## 39 <NA>
## 40 <NA>
## 41 <NA>
## 42 <NA>
## 43 <NA>
## 44 <NA>
## 45 <NA>
## 46 <NA>
## 47 <NA>
## 48 <NA>
## 49 <NA>
## 50 bad
## 51 good
## 52 bad
## 53 <NA>
## 54 <NA>
## 55 normal
## 56 <NA>
## 57 <NA>
## 58 bad
## 59 <NA>
## 60 <NA>
## 61 <NA>
## 62 <NA>
## 63 <NA>
## 64 <NA>
## 65 <NA>
## 66 <NA>
## 67 <NA>
## 68 <NA>
## 69 <NA>
## 70 good
## 71 normal
## 72 normal
## 73 bad
## 74 <NA>
## 75 <NA>
## 76 normal
## 77 <NA>
## 78 <NA>
## 79 <NA>
## 80 <NA>
## 81 <NA>
## 82 <NA>
## 83 <NA>
## 84 <NA>
## 85 <NA>
## 86 <NA>
## 87 <NA>
## 88 <NA>
## 89 <NA>
## 90 bad
## 91 <NA>
## 92 <NA>
## 93 <NA>
## 94 <NA>
## 95 <NA>
## 96 <NA>
## 97 <NA>
## 98 bad
## 99 good
## 100 <NA>
## 101 <NA>
## 102 good
## 103 <NA>
## 104 <NA>
## 105 good
## 106 <NA>
## 107 <NA>
## 108 <NA>
## 109 normal
## 110 normal
## 111 <NA>
## 112 bad
## 113 <NA>
## 114 bad
## 115 good
## 116 normal
## 117 bad
## 118 <NA>
## 119 <NA>
## 120 <NA>
## 121 <NA>
## 122 <NA>
## 123 <NA>
## 124 <NA>
## 125 <NA>
## 126 <NA>
## 127 <NA>
## 128 <NA>
## 129 <NA>
## 130 <NA>
## 131 <NA>
## 132 bad
## 133 normal
## 134 normal
## 135 <NA>
## 136 bad
## 137 <NA>
## 138 <NA>
## 139 <NA>
## 140 <NA>
## 141 <NA>
## 142 <NA>
## 143 good
## 144 <NA>
## 145 bad
## 146 <NA>
## 147 <NA>
## 148 <NA>
## 149 <NA>
## 150 <NA>
## 151 <NA>
## 152 <NA>
## 153 normal
## 154 <NA>
## 155 <NA>
## 156 <NA>
## 157 <NA>
## 158 normal
## 159 good
## 160 <NA>
## 161 bad
## 162 <NA>
## 163 normal
## 164 <NA>
## 165 normal
## 166 <NA>
## 167 normal
## 168 <NA>
## 169 normal
## 170 <NA>
## 171 normal
## 172 good
## 173 <NA>
## 174 <NA>
## 175 <NA>
## 176 normal
## 177 <NA>
## 178 normal
## 179 bad
## 180 bad
## 181 <NA>
## 182 normal
## 183 bad
## 184 bad
## 185 <NA>
## 186 <NA>
## 187 bad
## 188 <NA>
## 189 bad
## 190 normal
## 191 <NA>
## 192 <NA>
## 193 <NA>
## 194 <NA>
## 195 <NA>
## 196 <NA>
## 197 <NA>
## 198 bad
## 199 <NA>
## 200 <NA>
## 201 bad
## 202 <NA>
## 203 <NA>
## 204 bad
## 205 <NA>
## 206 <NA>
## 207 <NA>
## 208 normal
## 209 <NA>
## 210 <NA>
## 211 <NA>
## 212 bad
## 213 <NA>
## 214 normal
## 215 <NA>
## 216 normal
## 217 bad
## 218 normal
## 219 good
## 220 <NA>
## 221 good
## 222 <NA>
## 223 <NA>
## 224 <NA>
## 225 <NA>
## 226 <NA>
## 227 <NA>
## 228 <NA>
## 229 <NA>
## 230 bad
## 231 normal
## 232 bad
## 233 normal
## 234 normal
## 235 good
## 236 <NA>
## 237 <NA>
## 238 <NA>
## 239 normal
## 240 good
## 241 <NA>
## 242 normal
## 243 <NA>
## 244 <NA>
## 245 <NA>
## 246 <NA>
## 247 <NA>
## 248 <NA>
## 249 normal
## 250 good
## 251 <NA>
## 252 <NA>
## 253 bad
## 254 <NA>
## 255 good
## 256 good
## 257 bad
## 258 <NA>
## 259 <NA>
## 260 normal
## 261 good
## 262 good
## 263 normal
## 264 <NA>
## 265 <NA>
## 266 normal
## 267 good
## 268 good
## 269 normal
## 270 <NA>
## 271 normal
## 272 good
## 273 <NA>
## 274 bad
## 275 normal
## 276 bad
## 277 normal
## 278 bad
## 279 normal
## 280 bad
## 281 normal
## 282 normal
## 283 good
## 284 bad
## 285 <NA>
## 286 <NA>
## 287 normal
## 288 <NA>
## 289 <NA>
## 290 normal
## 291 bad
## 292 <NA>
## 293 <NA>
## 294 <NA>
## 295 <NA>
## 296 <NA>
## 297 <NA>
## 298 <NA>
## 299 normal
## 300 <NA>
## 301 bad
## 302 <NA>
## 303 bad
## 304 bad
## 305 <NA>
## 306 <NA>
## 307 <NA>
## 308 <NA>
## 309 <NA>
## 310 <NA>
## 311 <NA>
## 312 <NA>
## 313 <NA>
## 314 <NA>
## 315 <NA>
## 316 good
## 317 bad
## 318 bad
## 319 <NA>
## 320 <NA>
## 321 <NA>
## 322 <NA>
## 323 <NA>
## 324 <NA>
## 325 normal
## 326 <NA>
## 327 <NA>
## 328 normal
## 329 <NA>
## 330 normal
## 331 <NA>
## 332 <NA>
## 333 normal
## 334 <NA>
## 335 <NA>
## 336 <NA>
## 337 <NA>
## 338 <NA>
## 339 <NA>
## 340 <NA>
## 341 <NA>
## 342 normal
## 343 <NA>
## 344 normal
## 345 good
## 346 good
## 347 normal
## 348 good
## 349 normal
## 350 bad
## 351 <NA>
## 352 good
## 353 <NA>
## 354 normal
## 355 <NA>
## 356 <NA>
## 357 good
## 358 <NA>
## 359 good
## 360 normal
## 361 <NA>
## 362 <NA>
## 363 normal
## 364 normal
## 365 good
## 366 <NA>
## 367 good
## 368 bad
## 369 good
## 370 <NA>
## 371 <NA>
## 372 <NA>
## 373 normal
## 374 normal
## 375 good
## 376 normal
## 377 <NA>
## 378 <NA>
## 379 <NA>
## 380 normal
## 381 <NA>
## 382 <NA>
## 383 <NA>
## 384 bad
## 385 <NA>
## 386 <NA>
## 387 <NA>
## 388 <NA>
## 389 good
## 390 <NA>
## 391 <NA>
## 392 <NA>
## 393 <NA>
## 394 <NA>
## 395 <NA>
## 396 <NA>
## 397 <NA>
## 398 bad
## 399 normal
## 400 normal
## 401 <NA>
## 402 normal
## 403 bad
## 404 normal
## 405 <NA>
## 406 bad
## 407 normal
## 408 bad
## 409 normal
## 410 normal
## 411 <NA>
## 412 <NA>
## 413 normal
## 414 <NA>
## 415 <NA>
## 416 <NA>
## 417 normal
## 418 <NA>
## 419 bad
## 420 <NA>
## 421 <NA>
## 422 bad
## 423 <NA>
## 424 normal
## 425 bad
## 426 <NA>
## 427 <NA>
## 428 normal
## 429 <NA>
## 430 <NA>
## 431 bad
## 432 <NA>
## 433 good
## 434 good
## 435 normal
## 436 normal
## 437 good
## 438 <NA>
## 439 <NA>
## 440 good
## 441 bad
## 442 <NA>
## 443 normal
## 444 normal
## 445 <NA>
## 446 normal
## 447 <NA>
## 448 <NA>
## 449 <NA>
## 450 <NA>
## 451 <NA>
## 452 <NA>
## 453 <NA>
## 454 <NA>
## 455 <NA>
## 456 good
## 457 normal
## 458 <NA>
## 459 <NA>
## 460 <NA>
## 461 good
## 462 <NA>
## 463 <NA>
## 464 normal
## 465 bad
## 466 <NA>
## 467 normal
## 468 <NA>
## 469 <NA>
## 470 good
## 471 normal
## 472 normal
## 473 good
## 474 bad
## 475 <NA>
## 476 bad
## 477 normal
## 478 <NA>
## 479 <NA>
## 480 <NA>
## 481 <NA>
## 482 <NA>
## 483 good
## 484 good
## 485 <NA>
## 486 <NA>
## 487 bad
## 488 <NA>
## 489 <NA>
## 490 <NA>
## 491 <NA>
## 492 <NA>
## 493 <NA>
## 494 <NA>
## 495 normal
## 496 normal
## 497 <NA>
## 498 <NA>
## 499 normal
## 500 good
## 501 bad
## 502 bad
## 503 normal
## 504 bad
## 505 good
## 506 <NA>
## 507 <NA>
## 508 <NA>
## 509 <NA>
## 510 <NA>
## 511 <NA>
## 512 <NA>
## 513 bad
## 514 bad
## 515 <NA>
## 516 <NA>
## 517 <NA>
## 518 normal
## 519 <NA>
## 520 bad
## 521 <NA>
## 522 bad
## 523 <NA>
## 524 good
## 525 <NA>
## 526 bad
## 527 normal
## 528 <NA>
## 529 normal
## 530 bad
## 531 normal
## 532 bad
## 533 normal
## 534 <NA>
## 535 <NA>
## 536 <NA>
## 537 bad
## 538 normal
## 539 good
## 540 bad
## 541 <NA>
## 542 bad
## 543 normal
## 544 <NA>
## 545 bad
## 546 good
## 547 bad
## 548 bad
## 549 normal
## 550 bad
## 551 <NA>
## 552 <NA>
## 553 normal
## 554 <NA>
## 555 <NA>
## 556 normal
## 557 <NA>
## 558 <NA>
## 559 normal
## 560 bad
## 561 good
## 562 <NA>
## 563 <NA>
## 564 good
## 565 normal
## 566 <NA>
## 567 bad
## 568 bad
## 569 normal
## 570 <NA>
## 571 bad
## 572 <NA>
## 573 <NA>
## 574 bad
## 575 <NA>
## 576 good
## 577 <NA>
## 578 <NA>
## 579 <NA>
## 580 <NA>
## 581 <NA>
## 582 <NA>
## 583 <NA>
## 584 <NA>
## 585 <NA>
## 586 bad
## 587 <NA>
## 588 bad
## 589 <NA>
## 590 good
## 591 <NA>
## 592 good
## 593 <NA>
## 594 <NA>
## 595 <NA>
## 596 <NA>
## 597 normal
## 598 <NA>
## 599 <NA>
## 600 <NA>
## 601 <NA>
## 602 <NA>
## 603 <NA>
## 604 normal
## 605 bad
## 606 <NA>
## 607 normal
## 608 bad
## 609 good
## 610 normal
## 611 <NA>
## 612 <NA>
## 613 normal
## 614 <NA>
## 615 <NA>
## 616 normal
## 617 bad
## 618 bad
## 619 normal
## 620 bad
## 621 normal
## 622 <NA>
## 623 normal
## 624 bad
## 625 normal
## 626 <NA>
## 627 bad
## 628 bad
## 629 <NA>
## 630 bad
## 631 normal
## 632 <NA>
## 633 good
## 634 <NA>
## 635 good
## 636 normal
## 637 bad
## 638 normal
## 639 <NA>
## 640 normal
## 641 bad
## 642 bad
## 643 normal
## 644 <NA>
## 645 <NA>
## 646 <NA>
## 647 <NA>
## 648 <NA>
## 649 normal
## 650 <NA>
## 651 normal
## 652 <NA>
## 653 normal
## 654 normal
## 655 bad
## 656 bad
## 657 good
## 658 <NA>
## 659 <NA>
## 660 <NA>
## 661 normal
## 662 bad
## 663 <NA>
## 664 normal
## 665 bad
## 666 <NA>
## 667 bad
## 668 bad
## 669 normal
## 670 <NA>
## 671 normal
## 672 bad
## 673 good
## 674 <NA>
## 675 <NA>
## 676 bad
## 677 <NA>
## 678 <NA>
## 679 good
## 680 <NA>
## 681 <NA>
## 682 <NA>
## 683 bad
## 684 <NA>
## 685 good
## 686 bad
## 687 <NA>
## 688 <NA>
## 689 <NA>
## 690 <NA>
## 691 <NA>
## 692 normal
## 693 <NA>
## 694 <NA>
## 695 <NA>
## 696 <NA>
## 697 normal
## 698 normal
## 699 <NA>
## 700 <NA>
## 701 normal
## 702 <NA>
## 703 <NA>
## 704 normal
## 705 <NA>
## 706 normal
## 707 good
## 708 normal
## 709 bad
## 710 <NA>
## 711 normal
## 712 bad
## 713 good
## 714 <NA>
## 715 <NA>
## 716 normal
## 717 <NA>
## 718 <NA>
## 719 <NA>
## 720 <NA>
## 721 <NA>
## 722 good
## 723 <NA>
## 724 <NA>
## 725 <NA>
## 726 bad
## 727 normal
## 728 <NA>
## 729 bad
## 730 <NA>
## 731 <NA>
## 732 good
## 733 <NA>
## 734 <NA>
## 735 normal
## 736 good
## 737 <NA>
## 738 good
## 739 <NA>
## 740 <NA>
## 741 good
## 742 bad
## 743 normal
## 744 <NA>
## 745 <NA>
## 746 <NA>
## 747 bad
## 748 bad
## 749 <NA>
## 750 bad
## 751 <NA>
## 752 <NA>
## 753 bad
## 754 normal
## 755 bad
## 756 good
## 757 bad
## 758 normal
## 759 <NA>
## 760 <NA>
## 761 <NA>
## 762 <NA>
## 763 <NA>
## 764 <NA>
## 765 bad
## 766 <NA>
## 767 <NA>
## 768 <NA>
## 769 <NA>
## 770 <NA>
## 771 bad
## 772 <NA>
## 773 normal
## 774 normal
## 775 <NA>
## 776 bad
## 777 <NA>
## 778 <NA>
## 779 bad
## 780 bad
## 781 <NA>
## 782 bad
## 783 normal
## 784 bad
## 785 normal
## 786 bad
## 787 normal
## 788 <NA>
## 789 <NA>
## 790 good
## 791 <NA>
## 792 bad
## 793 <NA>
## 794 good
## 795 normal
## 796 good
## 797 normal
## 798 <NA>
## 799 good
## 800 good
## 801 normal
## 802 normal
## 803 good
## 804 <NA>
## 805 <NA>
## 806 <NA>
## 807 <NA>
## 808 <NA>
## 809 <NA>
## 810 bad
## 811 <NA>
## 812 normal
## 813 <NA>
## 814 good
## 815 bad
## 816 <NA>
## 817 good
## 818 good
## 819 bad
## 820 normal
## 821 <NA>
## 822 <NA>
## 823 normal
## 824 bad
## 825 <NA>
## 826 <NA>
## 827 bad
## 828 normal
## 829 <NA>
## 830 normal
## 831 <NA>
## 832 <NA>
## 833 <NA>
## 834 bad
## 835 <NA>
## 836 good
## 837 bad
## 838 <NA>
## 839 <NA>
## 840 <NA>
## 841 <NA>
## 842 <NA>
## 843 bad
## 844 normal
## 845 good
## 846 <NA>
## 847 bad
## 848 normal
## 849 good
## 850 <NA>
## 851 good
## 852 normal
## 853 good
## 854 <NA>
## 855 bad
## 856 normal
## 857 <NA>
## 858 normal
## 859 good
## 860 normal
## 861 good
## 862 good
## 863 <NA>
## 864 normal
## 865 good
## 866 normal
## 867 <NA>
## 868 normal
## 869 good
## 870 bad
## 871 normal
## 872 normal
## 873 bad
## 874 bad
## 875 normal
## 876 normal
## 877 bad
## 878 <NA>
## 879 bad
## 880 bad
## 881 normal
## 882 normal
## 883 good
## 884 bad
## 885 <NA>
## 886 bad
## 887 normal
## 888 good
## 889 normal
## 890 <NA>
## 891 <NA>
## 892 <NA>
## 893 bad
## 894 bad
## 895 <NA>
## 896 bad
## 897 good
## 898 bad
## 899 <NA>
## 900 normal
## 901 <NA>
## 902 bad
## 903 normal
## 904 <NA>
## 905 bad
## 906 <NA>
## 907 bad
## 908 <NA>
## 909 <NA>
## 910 <NA>
## 911 <NA>
## 912 bad
## 913 normal
## 914 <NA>
## 915 <NA>
## 916 bad
## 917 normal
## 918 <NA>
## 919 <NA>
## 920 normal
## 921 <NA>
## 922 bad
## 923 good
## 924 <NA>
## 925 <NA>
## 926 bad
## 927 normal
## 928 normal
## 929 <NA>
## 930 good
## 931 normal
## 932 normal
## 933 <NA>
## 934 good
## 935 <NA>
## 936 bad
## 937 normal
## 938 <NA>
## 939 bad
## 940 normal
## 941 <NA>
## 942 good
## 943 <NA>
## 944 <NA>
## 945 good
## 946 bad
## 947 good
## 948 normal
## 949 <NA>
## 950 <NA>
## 951 <NA>
## 952 <NA>
## 953 normal
## 954 <NA>
## 955 bad
## 956 <NA>
## 957 <NA>
## 958 <NA>
## 959 normal
## 960 normal
## 961 <NA>
## 962 good
## 963 normal
## 964 bad
## 965 normal
## 966 normal
## 967 <NA>
## 968 normal
## 969 <NA>
## 970 normal
## 971 bad
## 972 bad
## 973 good
## 974 <NA>
## 975 <NA>
## 976 good
## 977 <NA>
## 978 normal
## 979 good
## 980 good
## 981 normal
## 982 bad
## 983 normal
## 984 good
## 985 normal
## 986 bad
## 987 <NA>
## 988 normal
## 989 <NA>
## 990 good
## 991 <NA>
## 992 <NA>
## 993 <NA>
## 994 <NA>
## 995 <NA>
## 996 bad
## 997 <NA>
## 998 <NA>
## 999 normal
## 1000 <NA>
## 1001 normal
## 1002 <NA>
## 1003 normal
## 1004 normal
## 1005 <NA>
## 1006 normal
## 1007 bad
## 1008 bad
## 1009 normal
## 1010 good
## 1011 <NA>
## 1012 <NA>
## 1013 good
## 1014 <NA>
## 1015 <NA>
## 1016 <NA>
## 1017 normal
## 1018 good
## 1019 <NA>
## 1020 bad
## 1021 normal
## 1022 <NA>
## 1023 <NA>
## 1024 normal
## 1025 bad
## 1026 bad
## 1027 normal
## 1028 normal
## 1029 good
## 1030 normal
## 1031 good
## 1032 good
## 1033 normal
## 1034 bad
## 1035 good
## 1036 good
## 1037 normal
## 1038 good
## 1039 normal
## 1040 <NA>
## 1041 <NA>
## 1042 good
## 1043 <NA>
## 1044 bad
## 1045 normal
## 1046 good
## 1047 <NA>
## 1048 <NA>
## 1049 bad
## 1050 <NA>
## 1051 good
## 1052 bad
## 1053 good
## 1054 bad
## 1055 <NA>
## 1056 good
## 1057 <NA>
## 1058 <NA>
## 1059 <NA>
## 1060 <NA>
## 1061 good
## 1062 <NA>
## 1063 good
## 1064 good
## 1065 normal
## 1066 <NA>
## 1067 normal
## 1068 <NA>
## 1069 normal
## 1070 normal
## 1071 <NA>
## 1072 <NA>
## 1073 <NA>
## 1074 <NA>
## 1075 bad
## 1076 <NA>
## 1077 normal
## 1078 bad
## 1079 good
## 1080 bad
## 1081 normal
## 1082 <NA>
## 1083 <NA>
## 1084 bad
## 1085 normal
## 1086 normal
## 1087 <NA>
## 1088 <NA>
## 1089 bad
## 1090 normal
## 1091 good
## 1092 normal
## 1093 <NA>
## 1094 <NA>
## 1095 <NA>
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## 1097 good
## 1098 <NA>
## 1099 good
## 1100 good
## 1101 normal
## 1102 <NA>
## 1103 bad
## 1104 normal
## 1105 <NA>
## 1106 normal
## 1107 <NA>
## 1108 <NA>
## 1109 <NA>
## 1110 bad
## 1111 <NA>
## 1112 normal
## 1113 good
## 1114 normal
## 1115 <NA>
## 1116 bad
## 1117 normal
## 1118 bad
## 1119 normal
## 1120 normal
## 1121 good
## 1122 bad
## 1123 normal
## 1124 <NA>
## 1125 normal
## 1126 good
## 1127 normal
## 1128 good
## 1129 normal
## 1130 normal
## 1131 <NA>
## 1132 <NA>
## 1133 good
## 1134 good
## 1135 <NA>
## 1136 <NA>
## 1137 <NA>
## 1138 <NA>
## 1139 normal
## 1140 good
## 1141 normal
## 1142 <NA>
## 1143 normal
## 1144 <NA>
## 1145 bad
## 1146 <NA>
## 1147 bad
## 1148 <NA>
## 1149 normal
## 1150 bad
## 1151 <NA>
## 1152 <NA>
## 1153 good
## 1154 normal
## 1155 bad
## 1156 normal
## 1157 good
## 1158 good
## 1159 normal
## 1160 bad
## 1161 normal
## 1162 good
## 1163 normal
## 1164 <NA>
## 1165 <NA>
## 1166 normal
## 1167 <NA>
## 1168 bad
## 1169 good
## 1170 bad
## 1171 normal
## 1172 normal
## 1173 bad
## 1174 good
## 1175 normal
## 1176 <NA>
## 1177 good
## 1178 bad
## 1179 normal
## 1180 normal
## 1181 <NA>
## 1182 normal
## 1183 good
## 1184 <NA>
## 1185 bad
## 1186 <NA>
## 1187 <NA>
## 1188 normal
## 1189 bad
## 1190 good
## 1191 bad
## 1192 bad
## 1193 normal
## 1194 normal
## 1195 <NA>
## 1196 bad
## 1197 <NA>
## 1198 normal
## 1199 bad
## 1200 normal
## 1201 <NA>
## 1202 normal
## 1203 <NA>
## 1204 <NA>
## 1205 <NA>
## 1206 <NA>
## 1207 <NA>
## 1208 normal
## 1209 good
## 1210 good
## 1211 bad
## 1212 <NA>
## 1213 good
## 1214 <NA>
## 1215 normal
## 1216 good
## 1217 normal
## 1218 normal
## 1219 good
## 1220 bad
## 1221 normal
## 1222 good
## 1223 <NA>
## 1224 <NA>
## 1225 <NA>
## 1226 bad
## 1227 normal
## 1228 normal
## 1229 <NA>
## 1230 bad
## 1231 <NA>
## 1232 bad
## 1233 <NA>
## 1234 <NA>
## 1235 normal
## 1236 normal
## 1237 bad
## 1238 normal
## 1239 good
## 1240 <NA>
## 1241 <NA>
## 1242 normal
## 1243 good
## 1244 normal
## 1245 <NA>
## 1246 bad
## 1247 normal
## 1248 <NA>
## 1249 normal
## 1250 normal
## 1251 bad
## 1252 <NA>
## 1253 <NA>
## 1254 normal
## 1255 good
## 1256 bad
## 1257 normal
## 1258 normal
## 1259 bad
## 1260 normal
## 1261 good
## 1262 <NA>
## 1263 normal
## 1264 normal
## 1265 goodx <- ctree(taste ~ . - quality, data = train)
plot(x, type="simple")