#Part 1: Association Analysis
1. Load the bob_ross csv file into R. This data contains information
about various paintings done by Bob Ross. Bob Ross was an American
artist know for his TV show called The Joy of Painting. This dataset
lists possible elements of each painting, such as a barn or tree, and
whether they were present or absent.
library(class)
bob <- read.csv("/Users/jusimioni/Desktop/MSDA 2021-23/Spring 2023/Big Data/Data/bob_ross.csv")
bob
## EPISODE TITLE APPLE_FRAME AURORA_BOREALIS BARN
## 1 S01E01 "A WALK IN THE WOODS" 0 0 0
## 2 S01E02 "MT. MCKINLEY" 0 0 0
## 3 S01E03 "EBONY SUNSET" 0 0 0
## 4 S01E04 "WINTER MIST" 0 0 0
## 5 S01E05 "QUIET STREAM" 0 0 0
## 6 S01E06 "WINTER MOON" 0 0 0
## 7 S01E07 "AUTUMN MOUNTAINS" 0 0 0
## 8 S01E08 "PEACEFUL VALLEY" 0 0 0
## 9 S01E09 "SEASCAPE" 0 0 0
## 10 S01E10 "MOUNTAIN LAKE" 0 0 0
## 11 S01E11 "WINTER GLOW" 0 0 0
## 12 S01E12 "SNOWFALL" 0 0 0
## 13 S01E13 "FINAL REFLECTIONS" 0 0 0
## 14 S02E01 "MEADOW LAKE" 0 0 0
## 15 S02E02 "WINTER SUN" 0 0 0
## 16 S02E03 "EBONY SEA" 0 0 0
## 17 S02E04 "SHADES OF GREY" 0 0 0
## 18 S02E05 "AUTUMN SPLENDOR" 0 0 0
## 19 S02E06 "BLACK RIVER" 0 0 0
## 20 S02E07 "BROWN MOUNTAIN" 0 0 0
## 21 S02E08 "REFLECTIONS" 0 0 0
## 22 S02E09 "BLACK & WHITE SEASCAPE" 0 0 0
## 23 S02E10 "LAZY RIVER" 0 0 0
## 24 S02E11 "BLACK WATERFALL" 0 0 0
## 25 S02E12 "MOUNTAIN WATERFALL" 0 0 0
## 26 S02E13 "FINAL GRACE" 0 0 0
## 27 S03E01 "MOUNTAIN RETREAT" 0 0 0
## 28 S03E02 "BLUE MOON" 0 0 0
## 29 S03E03 "BUBBLING STREAM" 0 0 0
## 30 S03E04 "WINTER NIGHT" 0 0 0
## 31 S03E05 "DISTANT HILLS" 0 0 0
## 32 S03E06 "COVERED BRIDGE" 0 0 0
## 33 S03E07 "QUIET INLET" 0 0 0
## 34 S03E08 "NIGHT LIGHT" 0 0 0
## 35 S03E09 "THE OLD MILL" 0 0 0
## 36 S03E10 "CAMPFIRE" 0 0 0
## 37 S03E11 "RUSTIC BARN" 0 0 1
## 38 S03E12 "HIDDEN LAKE" 0 0 0
## 39 S03E13 "PEACEFUL WATERS" 0 0 0
## 40 S04E01 "PURPLE SPLENDOR" 0 0 0
## 41 S04E02 "TRANQUIL VALLEY" 0 0 0
## 42 S04E03 "MAJESTIC MOUNTAINS" 0 0 0
## 43 S04E04 "WINTER SAWSCAPE" 0 0 0
## 44 S04E05 "EVENING SEASCAPE" 0 0 0
## 45 S04E06 "WARM SUMMER DAY" 0 0 0
## 46 S04E07 "CABIN IN THE WOODS" 0 0 0
## 47 S04E08 "WETLANDS" 0 0 0
## 48 S04E09 "COOL WATERS" 0 0 0
## 49 S04E10 "QUIET WOODS" 0 0 0
## 50 S04E11 "NORTHWEST MAJESTY" 0 0 0
## 51 S04E12 "AUTUMN DAYS" 0 0 0
## 52 S04E13 "MOUNTAIN CHALLENGE" 0 0 0
## 53 S05E01 "MOUNTAIN WATERFALL" 0 0 0
## 54 S05E02 "TWILIGHT MEADOW" 0 0 0
## 55 S05E03 "MOUNTAIN BLOSSOMS" 0 0 0
## 56 S05E04 "WINTER STILLNESS" 0 0 0
## 57 S05E05 "QUIET POND" 0 0 0
## 58 S05E06 "OCEAN SUNRISE" 0 0 0
## 59 S05E07 "BUBBLING BROOK" 0 0 0
## 60 S05E08 "ARIZONA SPLENDOR" 0 0 0
## 61 S05E09 "ANATOMY OF A WAVE" 0 0 0
## 62 S05E10 "THE WINDMILL" 0 0 1
## 63 S05E11 "AUTUMN GLORY" 0 0 0
## 64 S05E12 "INDIAN GIRL" 0 0 0
## 65 S05E13 "MEADOW STREAM" 0 0 1
## 66 S06E01 "BLUE RIVER" 0 0 0
## 67 S06E02 "NATURE'S EDGE" 0 0 0
## 68 S06E03 "MORNING MIST" 0 0 0
## 69 S06E04 "WHISPERING STREAM" 0 0 0
## 70 S06E05 "SECLUDED FOREST" 0 0 0
## 71 S06E06 "SNOW TRAIL" 0 0 0
## 72 S06E07 "ARCTIC BEAUTY" 0 0 0
## 73 S06E08 "HORIZONS WEST" 0 0 0
## 74 S06E09 "HIGH CHATEAU" 0 0 0
## 75 S06E10 "COUNTRY LIFE" 0 0 1
## 76 S06E11 "WESTERN EXPANSE" 0 0 0
## 77 S06E12 "MARSHLANDS" 0 0 0
## 78 S06E13 "BLAZE OF COLOR" 0 0 0
## 79 S07E01 "WINTER CABIN" 0 0 0
## 80 S07E02 "SECLUDED LAKE" 0 0 0
## 81 S07E03 "EVERGREENS AT SUNSET" 0 0 0
## 82 S07E04 "MOUNTAIN CABIN" 0 0 0
## 83 S07E05 "PORTRAIT OF SALLY" 0 0 0
## 84 S07E06 "MISTY WATERFALL" 0 0 0
## 85 S07E07 "BARN AT SUNSET" 0 0 1
## 86 S07E08 "MOUNTAIN SPLENDOR" 0 0 0
## 87 S07E09 "LAKE BY MOUNTAIN" 0 0 0
## 88 S07E10 "MOUNTAIN GLORY" 0 0 0
## 89 S07E11 "GREY WINTER" 0 0 0
## 90 S07E12 "DOCK SCENE" 0 0 0
## 91 S07E13 "DARK WATERFALL" 0 0 0
## 92 S08E01 "MISTY ROLLING HILLS" 0 0 0
## 93 S08E02 "LAKESIDE CABIN" 0 0 0
## 94 S08E03 "WARM WINTER DAY" 0 0 0
## 95 S08E04 "WATERSIDE WAY" 0 0 0
## 96 S08E05 "HUNTER'S HAVEN" 0 0 0
## 97 S08E06 "BUBBLING MOUNTAIN BROOK" 0 0 0
## 98 S08E07 "WINTER HIDEAWAY" 0 0 0
## 99 S08E08 "FOOT OF THE MOUNTAIN" 0 0 0
## 100 S08E09 "MAJESTIC PINE" 0 0 0
## 101 S08E10 "CACTUS AT SUNSET" 0 0 0
## 102 S08E11 "MOUNTAIN RANGE" 0 0 0
## 103 S08E12 "LONELY RETREAT" 0 0 0
## 104 S08E13 "NORTHERN LIGHTS" 0 1 0
## 105 S09E01 "WINTER EVERGREENS" 0 0 0
## 106 S09E02 "SURF'S UP" 0 0 0
## 107 S09E03 "RED SUNSET" 0 0 0
## 108 S09E04 "MEADOW ROAD" 0 0 0
## 109 S09E05 "WINTER OVAL" 0 0 0
## 110 S09E06 "SECLUDED BEACH" 0 0 0
## 111 S09E07 "FOREST HILLS" 0 0 0
## 112 S09E08 "LITTLE HOUSE BY-THE-ROAD" 0 0 0
## 113 S09E09 "MOUNTAIN PATH" 0 0 0
## 114 S09E10 "COUNTRY CHARM" 0 0 0
## 115 S09E11 "NATURE'S PARADISE" 0 0 0
## 116 S09E12 "MOUNTAIN-BY-THE-SEA" 0 0 0
## 117 S09E13 "MOUNTAIN HIDE-AWAY" 0 0 0
## 118 S10E01 "TOWERING PEAKS" 0 0 0
## 119 S10E02 "CABIN AT SUNSET" 0 0 0
## 120 S10E03 "TWIN FALLS" 0 0 0
## 121 S10E04 "SECLUDED BRIDGE" 0 0 0
## 122 S10E05 "OCEAN BREEZE" 0 0 0
## 123 S10E06 "AUTUMN WOODS" 0 0 0
## 124 S10E07 "WINTER SOLITUDE" 0 0 0
## 125 S10E08 "GOLDEN SUNSET" 0 0 0
## 126 S10E09 "MOUNTAIN OVAL" 0 0 0
## 127 S10E10 "OCEAN SUNSET" 0 0 0
## 128 S10E11 "TRIPLE VIEW" 0 0 0
## 129 S10E12 "WINTER FROST" 0 0 0
## 130 S10E13 "LAKESIDE CABIN" 0 0 0
## 131 S11E01 "MOUNTAIN STREAM" 0 0 0
## 132 S11E02 "COUNTRY CABIN" 0 0 0
## 133 S11E03 "DAISY DELIGHT" 0 0 0
## 134 S11E04 "HIDDEN STREAM" 0 0 0
## 135 S11E05 "TOWERING GLACIER" 0 0 0
## 136 S11E06 "OVAL BARN" 0 0 1
## 137 S11E07 "LAKESIDE PATH" 0 0 0
## 138 S11E08 "SUNSET OVAL" 0 0 0
## 139 S11E09 "WINTER BARN" 0 0 1
## 140 S11E10 "SUNSET OVER THE WAVES" 0 0 0
## 141 S11E11 "GOLDEN GLOW" 0 0 0
## 142 S11E12 "ROADSIDE BARN" 0 0 1
## 143 S11E13 "HAPPY ACCIDENT" 0 0 0
## 144 S12E01 "GOLDEN KNOLL" 0 0 0
## 145 S12E02 "MOUNTAIN REFLECTIONS" 0 0 0
## 146 S12E03 "SECLUDED MOUNTAIN" 0 0 0
## 147 S12E04 "BRIGHT AUTUMN TREES" 0 0 0
## 148 S12E05 "BLACK SEASCAPE" 0 0 0
## 149 S12E06 "STEEP MOUNTAINS" 0 0 0
## 150 S12E07 "QUIET MOUNTAIN RIVER" 0 0 0
## 151 S12E08 "EVENING WATERFALL" 0 0 0
## 152 S12E09 "TROPICAL SEASCAPE" 0 0 0
## 153 S12E10 "MOUNTAIN AT SUNSET" 0 0 0
## 154 S12E11 "SOFT MOUNTAIN GLOW" 0 0 0
## 155 S12E12 "MOUNTAIN IN AN OVAL" 0 0 0
## 156 S12E13 "WINTER MOUNTAIN" 0 0 0
## 157 S13E01 "ROLLING HILLS" 0 0 0
## 158 S13E02 "FROZEN SOLITUDE" 0 0 0
## 159 S13E03 "MEADOW BROOK" 0 0 0
## 160 S13E04 "EVENING AT SUNSET" 0 0 0
## 161 S13E05 "MOUNTAIN VIEW" 0 0 0
## 162 S13E06 "HIDDEN CREEK" 0 0 0
## 163 S13E07 "PEACEFUL HAVEN" 0 0 0
## 164 S13E08 "MOUNTAIN EXHIBITION" 0 0 0
## 165 S13E09 "EMERALD WATERS" 0 0 0
## 166 S13E10 "MOUNTAIN SUMMIT" 0 0 0
## 167 S13E11 "CABIN HIDEAWAY" 0 0 0
## 168 S13E12 "OVAL ESSENCE" 0 0 0
## 169 S13E13 "LOST LAKE" 0 0 0
## 170 S14E01 "DISTANT MOUNTAINS" 0 0 0
## 171 S14E02 "MEADOW BROOK SURPRISE" 0 0 0
## 172 S14E03 "MOUNTAIN MOONLIGHT OVAL" 0 0 0
## 173 S14E04 "SNOWY SOLITUDE" 0 0 0
## 174 S14E05 "MOUNTAIN RIVER" 0 0 0
## 175 S14E06 "GRACEFUL MOUNTAINS" 0 0 0
## 176 S14E07 "WINDY WAVES" 0 0 0
## 177 S14E08 "ON A CLEAR DAY" 0 0 0
## 178 S14E09 "RIVERSIDE ESCAPE OVAL" 0 0 0
## 179 S14E10 "SURPRISING FALLS" 0 0 0
## 180 S14E11 "SHADOW POND" 0 0 0
## 181 S14E12 "MISTY FOREST OVAL" 0 0 0
## 182 S14E13 "NATURAL WONDER" 0 0 0
## 183 S15E01 "SPLENDOR OF WINTER" 0 0 0
## 184 S15E02 "COLORS OF NATURE" 0 0 0
## 185 S15E03 "GRANDPA'S BARN" 0 0 1
## 186 S15E04 "PEACEFUL REFLECTIONS" 0 0 0
## 187 S15E05 "HIDDEN WINTER MOON OVAL" 0 0 0
## 188 S15E06 "WAVES OF WONDER" 0 0 0
## 189 S15E07 "CABIN BY THE POND" 0 0 0
## 190 S15E08 "FALL STREAM" 0 0 0
## 191 S15E09 "CHRISTMAS EVE SNOW" 0 0 0
## 192 S15E10 "FOREST DAWN OVAL" 0 0 0
## 193 S15E11 "PATHWAY TO AUTUMN" 0 0 0
## 194 S15E12 "DEEP FOREST LAKE" 0 0 0
## 195 S15E13 "PEAKS OF MAJESTY" 0 0 0
## 196 S16E01 "TWO SEASONS" 0 0 0
## 197 S16E02 "NESTLED CABIN" 0 0 0
## 198 S16E03 "WINTERTIME DISCOVERY" 0 0 0
## 199 S16E04 "MOUNTAIN MIRAGE" 0 0 0
## 200 S16E05 "DOUBLE OVAL FANTASY" 0 0 0
## 201 S16E06 "CONTEMPLATIVE LADY" 0 0 0
## 202 S16E07 "DEEP WOODS" 0 0 0
## 203 S16E08 "HIGH TIDE" 0 0 0
## 204 S16E09 "BARN IN SNOW OVAL" 0 0 1
## 205 S16E10 "THAT TIME OF YEAR" 0 0 0
## 206 S16E11 "WATERFALL WONDER" 0 0 0
## 207 S16E12 "MIGHTY MOUNTAIN LAKE" 0 0 0
## 208 S16E13 "WOODED STREAM OVAL" 0 0 0
## 209 S17E01 "GOLDEN MIST OVAL" 0 0 0
## 210 S17E02 "THE OLD HOME PLACE" 0 0 0
## 211 S17E03 "SOOTHING VISTA" 0 0 0
## 212 S17E04 "STORMY SEAS" 0 0 0
## 213 S17E05 "COUNTRY TIME" 0 0 0
## 214 S17E06 "A MILD WINTER'S DAY" 0 0 0
## 215 S17E07 "SPECTACULAR WATERFALL" 0 0 0
## 216 S17E08 "VIEW FROM THE PARK" 1 0 0
## 217 S17E09 "LAKE VIEW" 0 0 0
## 218 S17E10 "OLD COUNTRY MILL" 0 0 0
## 219 S17E11 "MORNING WALK" 0 0 0
## 220 S17E12 "NATURE'S SPLENDOR" 0 0 0
## 221 S17E13 "MOUNTAIN BEAUTY" 0 0 0
## 222 S18E01 "HALF-OVAL VIGNETTE" 0 0 0
## 223 S18E02 "ABSOLUTELY AUTUMN" 0 0 0
## 224 S18E03 "MOUNTAIN SECLUSION" 0 0 0
## 225 S18E04 "CRIMSON OVAL" 0 0 0
## 226 S18E05 "AUTUMN EXHIBITION" 0 0 0
## 227 S18E06 "MAJESTIC PEAKS" 0 0 0
## 228 S18E07 "GOLDEN MORNING MIST" 0 0 0
## 229 S18E08 "WINTER LACE" 0 0 0
## 230 S18E09 "SEASCAPE FANTASY" 0 0 0
## 231 S18E10 "DOUBLE OVAL STREAM" 0 0 0
## 232 S18E11 "ENCHANTED FOREST" 0 0 0
## 233 S18E12 "SOUTHWEST SERENITY" 0 0 0
## 234 S18E13 "RIPPLING WATERS" 0 0 0
## 235 S19E01 "SNOWFALL MAGIC" 0 0 0
## 236 S19E02 "QUIET MOUNTAIN LAKE" 0 0 0
## 237 S19E03 "FINAL EMBERS OF SUNLIGHT" 0 0 0
## 238 S19E04 "SNOWY MORN" 0 0 0
## 239 S19E05 "CAMPER'S HAVEN" 0 0 0
## 240 S19E06 "WATERFALL IN THE WOODS" 0 0 0
## 241 S19E07 "COVERED BRIDGE OVAL" 0 0 0
## 242 S19E08 "SCENIC SECLUSION" 0 0 0
## 243 S19E09 "EBB TIDE" 0 0 0
## 244 S19E10 "AFTER THE RAIN" 0 0 0
## 245 S19E11 "WINTER'S ELEGANCE" 0 0 0
## 246 S19E12 "EVENING'S PEACE" 0 0 1
## 247 S19E13 "VALLEY OF TRANQUILITY" 0 0 0
## 248 S20E01 "MYSTIC MOUNTAIN" 0 0 0
## 249 S20E02 "NEW DAY'S DAWN" 0 0 1
## 250 S20E03 "PASTEL WINTER" 0 0 0
## 251 S20E04 "HAZY DAY" 0 0 0
## 252 S20E05 "DIVINE ELEGANCE" 0 0 0
## 253 S20E06 "CLIFFSIDE" 0 0 0
## 254 S20E07 "AUTUMN FANTASY" 0 0 0
## 255 S20E08 "THE OLD OAK TREE" 0 0 0
## 256 S20E09 "WINTER'S PARADISE" 0 0 0
## 257 S20E10 "DAYS GONE BY" 0 0 0
## 258 S20E11 "CHANGE OF SEASONS" 0 0 0
## 259 S20E12 "HIDDEN DELIGHT" 0 0 0
## 260 S20E13 "DOUBLE TAKE" 0 0 0
## 261 S21E01 "VALLEY VIEW" 0 0 0
## 262 S21E02 "TRANQUIL DAWN" 0 0 0
## 263 S21E03 "ROYAL MAJESTY" 0 0 0
## 264 S21E04 "SERENITY" 0 0 0
## 265 S21E05 "CABIN AT TRAIL'S END" 0 0 0
## 266 S21E06 "MOUNTAIN RHAPSODY" 0 0 0
## 267 S21E07 "WILDERNESS CABIN" 0 0 0
## 268 S21E08 "BY THE SEA" 0 0 0
## 269 S21E09 "INDIAN SUMMER" 0 0 0
## 270 S21E10 "BLUE WINTER" 0 0 0
## 271 S21E11 "DESERT GLOW" 0 0 0
## 272 S21E12 "LONE MOUNTAIN" 0 0 0
## 273 S21E13 "FLORIDA'S GLORY" 0 0 0
## 274 S22E01 "AUTUMN IMAGES" 0 0 0
## 275 S22E02 "HINT OF SPRINGTIME" 0 0 0
## 276 S22E03 "AROUND THE BEND" 0 0 0
## 277 S22E04 "COUNTRYSIDE OVAL" 0 0 0
## 278 S22E05 "RUSSET WINTER" 0 0 1
## 279 S22E06 "PURPLE HAZE" 0 0 0
## 280 S22E07 "DIMENSIONS" 0 0 0
## 281 S22E08 "DEEP WILDERNESS HOME" 0 0 0
## 282 S22E09 "HAVEN IN THE VALLEY" 0 0 0
## 283 S22E10 "WINTERTIME BLUES" 0 0 0
## 284 S22E11 "PASTEL SEASCAPE" 0 0 0
## 285 S22E12 "COUNTRY CREEK" 0 0 0
## 286 S22E13 "SILENT FOREST" 0 0 0
## 287 S23E01 "FROSTY WINTER MORN" 0 0 0
## 288 S23E02 "FOREST EDGE" 0 0 0
## 289 S23E03 "MOUNTAIN RIDGE LAKE" 0 0 0
## 290 S23E04 "REFLECTIONS OF GOLD" 0 0 0
## 291 S23E05 "QUIET COVE" 0 0 0
## 292 S23E06 "RIVER'S PEACE" 0 0 0
## 293 S23E07 "AT DAWN'S LIGHT" 0 0 0
## 294 S23E08 "VALLEY WATERFALL" 0 0 0
## 295 S23E09 "TOWARD DAY'S END" 0 0 0
## 296 S23E10 "FALLS IN THE GLEN" 0 0 0
## 297 S23E11 "FROZEN BEAUTY IN VIGNETTE" 0 0 0
## 298 S23E12 "CRIMSON TIDE" 0 0 0
## 299 S23E13 "WINTER BLISS" 0 0 0
## 300 S24E01 "GRAY MOUNTAIN" 0 0 0
## 301 S24E02 "WAYSIDE POND" 0 0 0
## 302 S24E03 "TETON WINTER" 0 0 0
## 303 S24E04 "LITTLE HOME IN THE MEADOW" 0 0 0
## 304 S24E05 "A PRETTY AUTUMN DAY" 0 0 0
## 305 S24E06 "MIRRORED IMAGES" 0 0 0
## 306 S24E07 "BACK COUNTRY" 0 0 0
## 307 S24E08 "GRACEFUL WATERFALL" 0 0 0
## 308 S24E09 "ICY LAKE" 0 0 0
## 309 S24E10 "ROWBOAT ON THE BEACH" 0 0 0
## 310 S24E11 "PORTRAIT OF WINTER" 0 0 0
## 311 S24E12 "THE FOOTBRIDGE" 0 0 0
## 312 S24E13 "SNOWBOUND CABIN" 0 0 0
## 313 S25E01 "HIDE-A-WAY COVE" 0 0 0
## 314 S25E02 "ENCHANTED FALLS OVAL" 0 0 0
## 315 S25E03 "NOT QUITE SPRING" 0 0 0
## 316 S25E04 "SPLASHES OF AUTUMN" 0 0 0
## 317 S25E05 "SUMMER IN THE MOUNTAIN" 0 0 0
## 318 S25E06 "ORIENTAL FALLS" 0 0 0
## 319 S25E07 "AUTUMN PALETTE" 0 0 0
## 320 S25E08 "CYPRESS SWAMP" 0 0 0
## 321 S25E09 "DOWNSTREAM VIEW" 0 0 0
## 322 S25E10 "JUST BEFORE THE STORM" 0 0 0
## 323 S25E11 "FISHERMAN'S PARADISE" 0 0 0
## 324 S25E12 "DESERT HUES" 0 0 0
## 325 S25E13 "THE PROPERTY LINE" 0 0 0
## 326 S26E01 "IN THE STILLNESS OF MORNING" 0 0 0
## 327 S26E02 "DELIGHTFUL MEADOW HOME" 0 0 0
## 328 S26E03 "FIRST SNOW" 0 0 0
## 329 S26E04 "LAKE IN THE VALLEY" 0 0 0
## 330 S26E05 "TRACE OF SPRING" 0 0 0
## 331 S26E06 "ARCTIC WINTER DAY" 0 0 0
## 332 S26E07 "SNOW BIRCH" 0 0 0
## 333 S26E08 "EARLY AUTUMN" 0 0 0
## 334 S26E09 "TRANQUIL WOODED STREAM" 0 0 0
## 335 S26E10 "PURPLE MOUNTAIN RANGE" 0 0 0
## 336 S26E11 "STORM'S A COMIN'" 0 0 0
## 337 S26E12 "SUNSET AGLOW" 0 0 0
## 338 S26E13 "EVENING AT THE FALLS" 0 0 0
## 339 S27E01 "TWILIGHT BEAUTY" 0 0 0
## 340 S27E02 "ANGLER'S HAVEN" 0 0 0
## 341 S27E03 "RUSTIC WINTER WOODS" 0 0 0
## 342 S27E04 "WILDERNESS FALLS" 0 0 0
## 343 S27E05 "WINTER AT THE FARM" 0 0 0
## 344 S27E06 "DAISIES AT DAWN" 0 0 0
## 345 S27E07 "SPECTACULAR VIEW" 0 0 0
## 346 S27E08 "DAYBREAK" 0 0 0
## 347 S27E09 "ISLAND PARADISE" 0 0 0
## 348 S27E10 "SUNLIGHT IN THE SHADOWS" 0 0 0
## 349 S27E11 "SPLENDOR OF A SNOWY WHITE" 0 0 0
## 350 S27E12 "FOREST RIVER" 0 0 0
## 351 S27E13 "GOLDEN GLOW OF MORNING" 0 0 0
## 352 S28E01 "FISHERMAN'S TRAIL" 0 0 0
## 353 S28E02 "TO A WARM WINTER" 0 0 1
## 354 S28E03 "UNDER PASTEL SKIES" 0 0 0
## 355 S28E04 "GOLDEN RAYS OF SUNLIGHT" 0 0 0
## 356 S28E05 "MAGIC OF FALL" 0 0 0
## 357 S28E06 "GLACIER LAKE" 0 0 0
## 358 S28E07 "THE OLD WEATHERED BARN" 0 0 1
## 359 S28E08 "DEEP FOREST FALLS" 0 0 0
## 360 S28E09 "WINTER'S GRACE" 0 0 0
## 361 S28E10 "SPLENDOR OF AUTUMN" 0 0 0
## 362 S28E11 "TRANQUIL SEAS" 0 0 0
## 363 S28E12 "MOUNTAIN SERENITY" 0 0 0
## 364 S28E13 "HOME BEFORE NIGHTFALL" 0 0 0
## 365 S29E01 "ISLAND IN THE WILDERNESS" 0 0 0
## 366 S29E02 "AUTUMN OVAL" 0 0 0
## 367 S29E03 "SEASONAL PROGRESSION" 0 0 0
## 368 S29E04 "LIGHT AT THE SUMMIT" 0 0 0
## 369 S29E05 "COUNTRYSIDE BARN" 0 0 1
## 370 S29E06 "MOUNTAIN LAKE FALLS" 0 0 0
## 371 S29E07 "CYPRESS CREEK" 0 0 0
## 372 S29E08 "TRAPPER'S CABIN" 0 0 0
## 373 S29E09 "STORM ON THE HORIZON" 0 0 0
## 374 S29E10 "POT 'O POSIES" 0 0 0
## 375 S29E11 "PERFECT WINTER'S DAY" 0 0 0
## 376 S29E12 "AURORA'S DANCE" 0 1 0
## 377 S29E13 "THE WOODMAN'S RETREAT" 0 0 0
## 378 S30E01 "BABBLING BROOK" 0 0 0
## 379 S30E02 "WOODGRAIN VIEW" 0 0 0
## 380 S30E03 "WINTER'S PEACE" 0 0 0
## 381 S30E04 "WILDERNESS TRAIL" 0 0 0
## 382 S30E05 "COPPER WINTER" 0 0 0
## 383 S30E06 "MISTY FOOTHILLS" 0 0 0
## 384 S30E07 "THROUGH THE WINDOW" 0 0 0
## 385 S30E08 "HOME IN THE VALLEY" 0 0 0
## 386 S30E09 "MOUNTAINS OF GRACE" 0 0 0
## 387 S30E10 "SEASIDE HARMONY" 0 0 0
## 388 S30E11 "COLD SPRING DAY" 0 0 0
## 389 S30E12 "EVENING'S GLOW" 0 0 0
## 390 S30E13 "BLUE RIDGE FALLS" 0 0 0
## 391 S31E01 "REFLECTIONS OF CALM" 0 0 0
## 392 S31E02 "BEFORE THE SNOWFALL" 0 0 0
## 393 S31E03 "WINDING STREAM" 0 0 0
## 394 S31E04 "TRANQUILITY COVE" 0 0 0
## 395 S31E05 "CABIN IN THE HOLLOW" 0 0 0
## 396 S31E06 "VIEW FROM CLEAR CREEK" 0 0 0
## 397 S31E07 "BRIDGE TO AUTUMN" 0 0 0
## 398 S31E08 "TRAIL'S END" 0 0 0
## 399 S31E09 "EVERGREEN VALLEY" 0 0 0
## 400 S31E10 "BALMY BEACH" 0 0 0
## 401 S31E11 "LAKE AT THE RIDGE" 0 0 0
## 402 S31E12 "IN THE MIDST OF WINTER" 0 0 1
## 403 S31E13 "WILDERNESS DAY" 0 0 0
## BEACH BOAT BRIDGE BUILDING BUSHES CABIN CACTUS CIRCLE_FRAME CIRRUS CLIFF
## 1 0 0 0 0 1 0 0 0 0 0
## 2 0 0 0 0 0 1 0 0 0 0
## 3 0 0 0 0 0 1 0 0 0 0
## 4 0 0 0 0 1 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 1 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 1 0 0 0 0 0
## 9 1 0 0 0 0 0 0 0 0 0
## 10 0 0 0 0 1 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0 0 1 0
## 13 0 0 0 0 1 0 0 0 0 0
## 14 0 0 0 0 1 0 0 0 0 0
## 15 0 0 0 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0 0 0 0
## 17 0 0 0 0 1 1 0 0 0 0
## 18 0 0 0 0 1 0 0 0 0 0
## 19 0 0 0 0 1 0 0 0 0 0
## 20 0 0 0 0 0 0 0 0 0 0
## 21 0 0 0 0 1 0 0 0 1 0
## 22 0 0 0 0 0 0 0 0 1 0
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## NIGHT OCEAN OVAL_FRAME PALM_TREES PATH PERSON PORTRAIT RECTANGLE_3D_FRAME
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## WATERFALL WAVES WINDMILL WINDOW_FRAME WINTER WOOD_FRAMED
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## 402 0 0 0 0 1 0
## 403 0 0 0 0 0 0
#Removing the columns that are not needed
bob <- bob[,-(1:2)]
bob
## APPLE_FRAME AURORA_BOREALIS BARN BEACH BOAT BRIDGE BUILDING BUSHES CABIN
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## LIGHTHOUSE MILL MOON MOUNTAIN MOUNTAINS NIGHT OCEAN OVAL_FRAME PALM_TREES
## 1 0 0 0 0 0 0 0 0 0
## 2 0 0 0 1 0 0 0 0 0
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## 4 0 0 0 1 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0
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## 384 0 0 0 0 0 0 0 0 0
## 385 0 0 0 0 0 0 0 0 0
## 386 0 0 0 1 1 0 0 0 0
## 387 0 0 0 0 0 0 1 0 0
## 388 0 0 0 1 1 0 0 0 0
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## 390 0 0 0 1 0 0 0 0 0
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## 403 0 0 0 1 0 0 0 0 0
## PATH PERSON PORTRAIT RECTANGLE_3D_FRAME RECTANGULAR_FRAME RIVER ROCKS
## 1 0 0 0 0 0 1 0
## 2 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0
## 5 0 0 0 0 0 1 1
## 6 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0
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## 11 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0
## 13 0 0 0 0 0 0 0
## 14 0 0 0 0 0 0 0
## 15 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0
## 17 0 0 0 0 0 0 0
## 18 0 0 0 0 0 0 0
## 19 0 0 0 0 0 1 0
## 20 0 0 0 0 0 0 0
## 21 0 0 0 0 0 0 0
## 22 0 0 0 0 0 0 1
## 23 0 0 0 0 0 1 0
## 24 0 0 0 0 0 1 1
## 25 0 0 0 0 0 0 0
## 26 0 0 0 0 0 0 0
## 27 0 0 0 0 0 0 0
## 28 0 0 0 0 0 0 0
## 29 0 0 0 0 0 1 1
## 30 0 0 0 0 0 0 0
## 31 0 0 0 0 0 0 0
## 32 1 0 0 0 0 0 0
## 33 0 0 0 0 0 0 0
## 34 0 0 0 0 0 0 0
## 35 0 0 0 0 0 1 0
## 36 0 1 0 0 0 0 0
## 37 0 0 0 0 0 0 0
## 38 0 0 0 0 0 0 0
## 39 0 0 0 0 0 0 0
## 40 0 0 0 0 0 0 0
## 41 0 0 0 0 0 0 0
## 42 0 0 0 0 0 0 0
## 43 0 0 0 0 0 0 0
## 44 0 0 0 0 0 0 1
## 45 0 0 0 0 0 0 0
## 46 1 0 0 0 0 0 0
## 47 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0
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## 50 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0
## 52 0 0 0 0 0 0 0
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## 55 0 0 0 0 0 0 0
## 56 0 0 0 0 0 0 0
## 57 0 0 0 0 0 0 0
## 58 0 0 0 0 0 0 0
## 59 0 0 0 0 0 1 1
## 60 0 0 0 0 0 1 0
## 61 0 0 0 0 0 0 0
## 62 1 0 0 0 0 0 0
## 63 0 0 0 0 0 0 1
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## 66 0 0 0 0 0 1 0
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## 71 0 0 0 0 0 0 0
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## 73 0 0 0 0 0 0 0
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## 75 0 0 0 0 0 0 0
## 76 0 0 0 0 0 1 0
## 77 0 0 0 0 0 0 0
## 78 0 0 0 0 0 1 0
## 79 0 0 0 0 0 0 0
## 80 0 0 0 0 0 0 1
## 81 0 0 0 0 0 1 0
## 82 0 0 0 0 0 1 0
## 83 0 0 1 0 0 0 0
## 84 0 0 0 0 0 1 0
## 85 1 0 0 0 0 0 0
## 86 0 0 0 0 0 1 0
## 87 0 0 0 0 0 0 0
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## 93 0 0 0 0 0 0 0
## 94 0 0 0 0 0 0 0
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## 96 1 0 0 0 0 1 1
## 97 0 0 0 0 0 1 0
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## SEASHELL_FRAME SNOW SNOWY_MOUNTAIN SPLIT_FRAME STEVE_ROSS STRUCTURE SUN
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## TOMB_FRAME TREE TREES TRIPLE_FRAME WATERFALL WAVES WINDMILL WINDOW_FRAME
## 1 0 1 1 0 0 0 0 0
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## WINTER WOOD_FRAMED
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#Package for Association
library(arules)
## Loading required package: Matrix
##
## Attaching package: 'arules'
## The following objects are masked from 'package:base':
##
## abbreviate, write
#Transforming into a Matrix of Transaction
bobM <- as(as.matrix(bob), "transactions")
bob_rules <- apriori(bobM, parameter = list(sup = 0.3, conf = 0.9, target = "rules"))
## Apriori
##
## Parameter specification:
## confidence minval smax arem aval originalSupport maxtime support minlen
## 0.9 0.1 1 none FALSE TRUE 5 0.3 1
## maxlen target ext
## 10 rules TRUE
##
## Algorithmic control:
## filter tree heap memopt load sort verbose
## 0.1 TRUE TRUE FALSE TRUE 2 TRUE
##
## Absolute minimum support count: 120
##
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[66 item(s), 403 transaction(s)] done [0.00s].
## sorting and recoding items ... [9 item(s)] done [0.00s].
## creating transaction tree ... done [0.00s].
## checking subsets of size 1 2 3 4 done [0.00s].
## writing ... [31 rule(s)] done [0.00s].
## creating S4 object ... done [0.00s].
inspect(bob_rules)
## lhs rhs support confidence coverage
## [1] {RIVER} => {TREES} 0.3002481 0.9603175 0.3126551
## [2] {RIVER} => {TREE} 0.3126551 1.0000000 0.3126551
## [3] {GRASS} => {TREE} 0.3374690 0.9577465 0.3523573
## [4] {LAKE} => {TREES} 0.3325062 0.9370629 0.3548387
## [5] {LAKE} => {TREE} 0.3523573 0.9930070 0.3548387
## [6] {MOUNTAIN} => {TREES} 0.3672457 0.9250000 0.3970223
## [7] {MOUNTAIN} => {TREE} 0.3870968 0.9750000 0.3970223
## [8] {DECIDUOUS} => {TREES} 0.5136476 0.9118943 0.5632754
## [9] {DECIDUOUS} => {TREE} 0.5632754 1.0000000 0.5632754
## [10] {CONIFER} => {TREES} 0.5161290 0.9811321 0.5260546
## [11] {CONIFER} => {TREE} 0.5260546 1.0000000 0.5260546
## [12] {TREES} => {TREE} 0.8362283 1.0000000 0.8362283
## [13] {TREE} => {TREES} 0.8362283 0.9335180 0.8957816
## [14] {RIVER, TREES} => {TREE} 0.3002481 1.0000000 0.3002481
## [15] {RIVER, TREE} => {TREES} 0.3002481 0.9603175 0.3126551
## [16] {GRASS, TREES} => {TREE} 0.3126551 1.0000000 0.3126551
## [17] {GRASS, TREE} => {TREES} 0.3126551 0.9264706 0.3374690
## [18] {LAKE, TREES} => {TREE} 0.3325062 1.0000000 0.3325062
## [19] {LAKE, TREE} => {TREES} 0.3325062 0.9436620 0.3523573
## [20] {CONIFER, MOUNTAIN} => {TREES} 0.3126551 0.9767442 0.3200993
## [21] {CONIFER, MOUNTAIN} => {TREE} 0.3200993 1.0000000 0.3200993
## [22] {MOUNTAIN, TREES} => {TREE} 0.3672457 1.0000000 0.3672457
## [23] {MOUNTAIN, TREE} => {TREES} 0.3672457 0.9487179 0.3870968
## [24] {CLOUDS, TREES} => {TREE} 0.3424318 1.0000000 0.3424318
## [25] {CLOUDS, TREE} => {TREES} 0.3424318 0.9387755 0.3647643
## [26] {DECIDUOUS, TREES} => {TREE} 0.5136476 1.0000000 0.5136476
## [27] {DECIDUOUS, TREE} => {TREES} 0.5136476 0.9118943 0.5632754
## [28] {CONIFER, TREES} => {TREE} 0.5161290 1.0000000 0.5161290
## [29] {CONIFER, TREE} => {TREES} 0.5161290 0.9811321 0.5260546
## [30] {CONIFER, MOUNTAIN, TREES} => {TREE} 0.3126551 1.0000000 0.3126551
## [31] {CONIFER, MOUNTAIN, TREE} => {TREES} 0.3126551 0.9767442 0.3200993
## lift count
## [1] 1.148392 121
## [2] 1.116343 126
## [3] 1.069174 136
## [4] 1.120583 134
## [5] 1.108537 142
## [6] 1.106157 148
## [7] 1.088435 156
## [8] 1.090485 207
## [9] 1.116343 227
## [10] 1.173283 208
## [11] 1.116343 212
## [12] 1.116343 337
## [13] 1.116343 337
## [14] 1.116343 121
## [15] 1.148392 121
## [16] 1.116343 126
## [17] 1.107916 126
## [18] 1.116343 134
## [19] 1.128474 134
## [20] 1.168035 126
## [21] 1.116343 129
## [22] 1.116343 148
## [23] 1.134520 148
## [24] 1.116343 138
## [25] 1.122631 138
## [26] 1.116343 207
## [27] 1.090485 207
## [28] 1.116343 208
## [29] 1.173283 208
## [30] 1.116343 126
## [31] 1.168035 126
All the rules have shown tree or trees as a strong factor.
#Part 2: Predicting a Numeric Column of Data
1. Load the nhanes_train csv file into R. This data contains information
about the weight, age, height, and pulse of various individuals. Use
this data in completing the next question.
library(class)
nhanes_train <- read.csv("/Users/jusimioni/Desktop/MSDA 2021-23/Spring 2023/Big Data/Data/nhanes_train.csv")
nhanes_train
## Age Weight Height Pulse
## 1 80 97.6 175.8 58
## 2 48 120.7 185.9 56
## 3 20 46.8 163.6 78
## 4 18 100.2 176.9 84
## 5 46 112.2 180.5 90
## 6 63 79.3 182.8 66
## 7 42 89.9 173.7 100
## 8 43 91.2 177.9 100
## 9 46 77.3 184.9 54
## 10 50 78.5 169.2 74
## 11 20 53.0 169.7 80
## 12 22 73.4 170.2 72
## 13 36 74.6 183.2 58
## 14 25 147.2 167.7 86
## 15 80 106.3 181.6 58
## 16 39 102.8 173.3 74
## 17 16 69.4 161.0 88
## 18 31 63.6 174.5 64
## 19 45 55.4 173.0 60
## 20 80 50.1 164.9 84
## 21 41 90.7 170.6 68
## 22 45 63.6 164.4 84
## 23 73 66.5 155.6 62
## 24 25 107.2 169.7 90
## 25 56 80.1 157.7 82
## 26 79 94.5 182.3 68
## 27 80 47.9 156.9 84
## 28 50 110.5 187.5 68
## 29 23 69.7 161.5 66
## 30 46 71.5 171.5 70
## 31 33 82.4 171.3 58
## 32 58 78.2 174.5 64
## 33 20 63.1 175.5 68
## 34 18 122.9 176.4 50
## 35 18 63.9 175.4 110
## 36 49 74.6 177.1 68
## 37 78 62.4 168.6 74
## 38 80 68.7 154.9 100
## 39 22 84.5 166.9 82
## 40 27 97.0 157.4 70
## 41 44 79.5 175.4 54
## 42 70 72.3 182.9 82
## 43 59 80.0 159.6 72
## 44 35 90.2 159.6 86
## 45 47 79.9 164.8 70
## 46 79 59.8 163.2 76
## 47 25 70.6 177.4 78
## 48 79 82.8 164.4 52
## 49 49 78.0 180.9 78
## 50 58 73.0 164.4 60
## 51 59 85.6 157.3 78
## 52 54 67.3 161.7 88
## 53 21 62.9 172.7 80
## 54 50 138.1 167.1 104
## 55 39 52.7 160.8 56
## 56 49 65.0 167.7 72
## 57 53 113.6 176.6 82
## 58 59 64.6 171.2 58
## 59 80 50.2 161.0 66
## 60 62 88.7 176.6 62
## 61 49 82.6 170.3 70
## 62 30 72.7 159.0 60
## 63 55 58.3 179.4 106
## 64 16 47.7 162.7 74
## 65 48 64.6 174.8 62
## 66 33 64.5 160.4 60
## 67 76 124.9 169.7 80
## 68 26 103.1 180.4 74
## 69 37 79.3 174.5 78
## 70 49 61.1 164.5 74
## 71 53 86.6 164.2 70
## 72 80 68.5 149.3 58
## 73 60 90.3 185.8 62
## 74 55 74.4 161.2 84
## 75 65 128.3 188.3 76
## 76 28 64.8 166.7 86
## 77 19 62.0 163.0 84
## 78 28 84.8 171.4 70
## 79 43 55.0 169.2 64
## 80 31 101.8 167.3 84
## 81 79 75.3 168.7 72
## 82 33 91.7 174.4 82
## 83 53 106.2 176.6 84
## 84 43 58.7 162.1 70
## 85 65 128.5 176.2 60
## 86 39 68.9 168.0 66
## 87 39 68.9 168.0 66
## 88 80 60.4 151.7 58
## 89 69 91.0 172.0 54
## 90 40 84.3 171.2 58
## 91 30 72.8 167.5 74
## 92 53 70.8 175.0 82
## 93 39 57.5 166.9 76
## 94 50 164.9 195.0 88
## 95 33 116.1 165.3 88
## 96 65 85.3 171.2 54
## 97 27 93.1 177.1 68
## 98 16 67.9 165.2 72
## 99 34 64.3 163.5 62
## 100 20 53.0 169.7 80
## 101 57 58.7 159.7 64
## 102 57 80.8 177.8 52
## 103 50 59.8 157.5 58
## 104 43 61.8 161.3 68
## 105 33 77.2 160.6 88
## 106 60 110.1 179.8 82
## 107 74 87.9 162.0 50
## 108 37 78.4 184.8 50
## 109 50 57.9 162.2 58
## 110 28 69.5 176.8 70
## 111 26 68.3 175.1 58
## 112 39 74.2 170.4 80
## 113 20 109.7 160.9 86
## 114 48 139.1 183.0 44
## 115 70 87.6 178.3 72
## 116 16 67.7 175.3 76
## 117 57 70.8 169.3 48
## 118 28 85.5 164.6 80
## 119 64 70.0 173.2 68
## 120 16 73.2 153.3 86
## 121 38 61.7 156.2 78
## 122 62 91.1 170.2 66
## 123 79 88.3 178.3 60
## 124 54 82.8 152.5 78
## 125 68 62.0 166.0 60
## 126 41 91.3 172.7 68
## 127 33 82.4 171.3 58
## 128 62 103.6 187.1 64
## 129 23 167.6 185.5 62
## 130 30 87.3 178.4 68
## 131 45 86.7 184.0 80
## 132 31 77.7 183.2 62
## 133 70 63.4 160.7 66
## 134 59 103.0 168.7 74
## 135 58 77.6 176.6 86
## 136 16 68.6 168.8 64
## 137 37 65.0 167.8 84
## 138 37 148.2 175.3 84
## 139 64 98.7 173.3 76
## 140 59 82.0 159.2 84
## 141 69 61.5 153.2 68
## 142 71 74.5 147.5 80
## 143 45 73.6 166.3 62
## 144 64 83.9 177.5 74
## 145 42 83.3 169.7 54
## 146 42 108.3 173.1 64
## 147 56 57.5 170.7 64
## 148 25 105.5 182.6 74
## 149 38 74.3 153.0 86
## 150 65 89.3 181.8 54
## 151 19 76.8 182.6 72
## 152 22 73.5 179.6 70
## 153 52 83.0 171.2 86
## 154 41 71.8 164.0 78
## 155 53 66.6 178.4 54
## 156 50 57.9 162.2 58
## 157 24 100.6 159.7 60
## 158 16 50.0 165.4 92
## 159 33 89.1 160.2 76
## 160 28 88.6 160.9 78
## 161 23 96.4 169.3 68
## 162 21 66.4 172.4 62
## 163 31 106.9 163.0 90
## 164 40 81.5 170.4 74
## 165 80 108.0 179.7 68
## 166 39 74.2 153.6 70
## 167 29 69.0 178.4 70
## 168 25 86.3 178.6 62
## 169 41 58.2 160.8 84
## 170 55 67.7 166.2 78
## 171 21 103.5 166.5 86
## 172 40 96.6 168.3 68
## 173 19 76.4 175.9 60
## 174 20 50.8 164.1 104
## 175 31 98.5 179.6 82
## 176 23 102.7 156.4 76
## 177 20 63.1 175.5 68
## 178 40 83.1 177.1 68
## 179 17 77.1 173.1 64
## 180 74 70.0 166.2 68
## 181 39 71.8 179.1 64
## 182 19 62.9 173.3 72
## 183 44 80.9 174.4 122
## 184 44 70.5 155.2 86
## 185 21 67.0 176.4 70
## 186 80 87.2 156.4 92
## 187 40 115.1 180.2 72
## 188 56 81.8 170.2 70
## 189 42 89.9 173.7 100
## 190 26 64.9 175.8 94
## 191 77 91.0 173.2 58
## 192 56 95.4 179.7 72
## 193 27 112.0 181.3 74
## 194 54 91.9 167.8 72
## 195 69 72.4 148.5 66
## 196 47 94.7 175.3 48
## 197 54 61.8 148.9 66
## 198 44 57.8 155.1 94
## 199 41 56.4 155.4 56
## 200 80 77.3 153.7 50
## 201 30 97.5 178.8 88
## 202 50 57.9 162.2 58
## 203 32 87.7 178.9 88
## 204 37 84.4 187.0 78
## 205 58 130.6 168.0 66
## 206 80 85.2 162.1 62
## 207 52 100.7 174.4 92
## 208 70 78.4 163.7 96
## 209 58 80.7 177.5 74
## 210 19 73.5 169.1 50
## 211 49 98.8 158.1 62
## 212 47 93.0 173.4 60
## 213 56 109.3 173.5 82
## 214 55 105.1 180.3 90
## 215 22 95.8 180.5 96
## 216 56 100.8 158.4 66
## 217 56 57.8 163.6 64
## 218 22 55.5 159.0 76
## 219 22 51.5 157.9 84
## 220 62 103.6 187.1 64
## 221 24 77.0 176.8 74
## 222 44 75.1 160.6 68
## 223 22 71.9 162.4 64
## 224 46 112.4 174.1 82
## 225 21 95.5 186.1 94
## 226 26 82.7 185.3 64
## 227 21 50.0 158.6 68
## 228 28 124.4 195.0 86
## 229 51 59.9 160.7 74
## 230 68 78.0 158.7 56
## 231 25 73.7 162.5 76
## 232 42 100.4 179.4 62
## 233 26 146.9 178.2 90
## 234 52 62.2 171.4 60
## 235 31 98.5 179.6 82
## 236 51 110.7 199.2 80
## 237 50 104.9 183.9 58
## 238 73 75.5 173.8 62
## 239 65 80.6 174.6 60
## 240 36 84.3 170.5 60
## 241 39 73.8 161.1 64
## 242 26 68.3 163.1 92
## 243 43 87.0 176.6 90
## 244 60 61.1 163.6 80
## 245 49 67.7 163.2 54
## 246 45 107.9 169.8 62
## 247 24 61.5 164.9 90
## 248 61 86.3 166.9 66
## 249 61 78.9 180.4 66
## 250 80 86.7 181.8 68
## 251 43 44.9 167.6 64
## 252 24 76.0 184.1 88
## 253 59 80.1 173.9 64
## 254 46 76.2 171.7 68
## 255 44 67.2 178.5 62
## 256 39 110.9 175.3 66
## 257 59 53.6 155.8 68
## 258 48 90.1 159.3 56
## 259 49 78.4 163.4 62
## 260 46 67.9 186.8 74
## 261 80 71.1 162.4 80
## 262 75 103.0 176.8 68
## 263 49 101.6 175.0 70
## 264 77 64.5 163.2 88
## 265 41 80.0 169.8 64
## 266 78 78.7 159.2 56
## 267 26 137.1 170.6 96
## 268 62 99.6 172.0 74
## 269 57 81.1 165.9 68
## 270 43 57.7 156.5 70
## 271 16 89.8 178.5 60
## 272 38 68.2 172.6 68
## 273 33 81.5 161.8 76
## 274 41 105.8 195.5 62
## 275 34 62.5 153.9 92
## 276 47 94.5 162.8 68
## 277 29 83.6 164.9 76
## 278 18 112.6 172.7 80
## 279 30 87.4 175.3 86
## 280 63 91.1 171.9 60
## 281 80 77.9 172.0 44
## 282 61 71.5 160.6 112
## 283 60 86.4 167.8 76
## 284 80 66.1 152.9 52
## 285 80 97.8 178.7 70
## 286 59 102.9 169.7 78
## 287 45 80.5 160.6 86
## 288 17 64.7 168.7 82
## 289 36 88.9 169.8 90
## 290 34 50.7 152.3 76
## 291 38 91.7 193.9 54
## 292 41 106.8 188.8 88
## 293 63 109.9 190.5 70
## 294 27 61.4 158.1 64
## 295 51 53.1 163.9 72
## 296 41 58.2 160.8 84
## 297 73 65.9 171.2 60
## 298 56 103.4 185.6 56
## 299 65 98.5 187.5 76
## 300 43 49.5 149.6 76
## 301 31 79.3 171.0 66
## 302 57 109.1 180.5 76
## 303 38 70.9 148.0 74
## 304 16 77.0 178.7 98
## 305 20 103.9 181.1 74
## 306 54 121.8 179.1 74
## 307 54 77.8 164.9 66
## 308 28 81.6 190.2 70
## 309 37 50.7 154.8 82
## 310 60 74.0 153.8 62
## 311 68 57.6 170.4 80
## 312 38 72.0 173.9 76
## 313 32 50.1 150.9 82
## 314 57 88.4 176.9 78
## 315 16 64.8 150.8 78
## 316 50 62.7 155.7 78
## 317 25 57.1 163.0 60
## 318 45 76.2 175.1 66
## 319 70 79.5 159.4 56
## 320 36 73.5 163.0 64
## 321 18 125.6 152.0 92
## 322 53 101.9 180.3 62
## 323 40 96.6 168.3 68
## 324 39 92.8 170.9 90
## 325 35 79.9 167.8 82
## 326 34 63.5 163.5 70
## 327 17 114.1 190.9 76
## 328 66 68.0 160.5 80
## 329 29 65.3 166.3 60
## 330 42 61.5 166.1 72
## 331 22 77.3 155.7 72
## 332 78 70.1 173.4 62
## 333 41 91.0 187.4 84
## 334 37 58.3 171.1 64
## 335 80 70.1 172.6 62
## 336 80 71.5 175.4 54
## 337 80 64.7 170.2 62
## 338 32 65.5 167.7 64
## 339 49 61.1 164.5 74
## 340 56 112.0 163.7 64
## 341 61 65.3 173.3 64
## 342 43 91.7 186.6 64
## 343 38 80.3 178.5 40
## 344 78 63.1 160.2 70
## 345 42 94.5 167.4 76
## 346 59 87.8 163.3 82
## 347 32 70.3 149.3 70
## 348 30 64.1 152.4 76
## 349 37 93.5 176.7 90
## 350 57 80.3 174.7 58
## 351 64 102.9 162.6 68
## 352 56 72.0 166.8 70
## 353 57 115.8 177.3 64
## 354 16 69.4 161.0 88
## 355 30 129.4 181.5 56
## 356 21 72.8 167.5 56
## 357 33 145.0 160.2 72
## 358 27 70.3 168.1 74
## 359 43 109.7 173.2 98
## 360 23 78.8 174.7 66
## 361 53 76.6 149.4 68
## 362 58 76.0 152.9 82
## 363 42 79.5 153.7 74
## 364 46 81.4 163.6 80
## 365 25 85.5 186.0 72
## 366 20 75.5 170.3 60
## 367 68 52.5 159.7 70
## 368 32 70.0 162.8 66
## 369 62 60.9 149.6 64
## 370 30 55.0 159.6 94
## 371 59 78.9 155.1 76
## 372 23 72.8 174.0 54
## 373 28 78.2 175.3 74
## 374 43 58.7 162.1 70
## 375 34 75.2 178.4 68
## 376 22 55.4 170.3 68
## 377 79 79.8 139.9 60
## 378 42 84.1 175.9 82
## 379 46 52.6 156.3 82
## 380 70 91.7 177.0 82
## 381 43 85.5 173.6 62
## 382 66 69.6 167.9 66
## 383 47 88.1 175.0 82
## 384 30 84.8 154.9 72
## 385 59 77.1 164.0 78
## 386 37 71.2 170.1 74
## 387 24 84.3 186.3 56
## 388 33 67.4 154.5 64
## 389 32 149.1 167.6 82
## 390 17 50.6 164.4 70
## 391 55 81.5 166.0 62
## 392 55 73.3 184.3 72
## 393 55 74.6 170.3 52
## 394 43 61.8 161.3 68
## 395 63 70.0 175.9 78
## 396 41 105.1 182.5 70
## 397 25 87.5 186.1 82
## 398 55 89.6 173.0 64
## 399 25 68.2 175.5 94
## 400 49 92.7 173.1 82
## 401 34 75.2 178.4 68
## 402 43 82.2 164.7 90
## 403 37 64.3 161.3 78
## 404 33 89.2 160.8 104
## 405 67 58.6 162.8 72
## 406 40 91.3 188.9 82
## 407 70 66.6 179.0 78
## 408 71 62.7 160.7 78
## 409 53 110.4 170.6 78
## 410 17 83.9 146.9 72
## 411 18 82.8 191.2 72
## 412 38 77.9 162.3 62
## 413 58 73.8 176.2 50
## 414 27 90.3 174.8 70
## 415 49 60.9 157.1 70
## 416 67 114.5 181.7 50
## 417 73 67.9 159.0 50
## 418 74 88.1 176.2 98
## 419 35 47.7 161.0 60
## 420 64 68.9 163.9 80
## 421 61 72.1 176.5 76
## 422 80 68.0 161.3 84
## 423 80 47.1 158.9 68
## 424 28 80.9 177.1 58
## 425 40 82.5 158.8 78
## 426 20 58.1 161.6 74
## 427 79 67.5 170.6 56
## 428 70 102.8 174.5 58
## 429 70 87.6 178.3 72
## 430 51 84.8 181.9 54
## 431 26 110.5 155.1 80
## 432 43 58.7 162.1 70
## 433 41 60.4 157.4 78
## 434 21 73.0 187.6 80
## 435 48 89.2 186.5 70
## 436 23 53.7 156.7 64
## 437 35 68.4 174.1 76
## 438 53 108.4 175.1 84
## 439 42 99.7 175.2 62
## 440 52 39.3 144.3 74
## 441 70 75.2 161.0 68
## 442 19 65.3 173.9 54
## 443 19 74.8 185.1 74
## 444 35 94.8 179.6 60
## 445 41 61.6 169.7 50
## 446 53 76.6 149.4 68
## 447 31 67.8 171.6 66
## 448 29 86.0 174.4 72
## 449 36 74.5 153.2 78
## 450 34 108.4 186.3 66
## 451 66 70.8 169.4 78
## 452 36 93.1 184.5 60
## 453 57 60.3 158.7 68
## 454 56 82.5 169.1 64
## 455 39 102.2 159.6 68
## 456 61 83.7 176.6 80
## 457 31 108.9 175.8 86
## 458 73 87.2 152.3 68
## 459 35 56.2 160.2 84
## 460 23 58.0 162.1 84
## 461 44 94.4 175.3 86
## 462 30 95.3 168.4 78
## 463 47 82.8 179.2 68
## 464 37 125.7 169.8 98
## 465 39 110.9 175.3 66
## 466 18 95.8 179.3 58
## 467 49 97.2 176.7 58
## 468 69 89.3 165.2 68
## 469 40 91.3 162.7 56
## 470 53 65.6 161.9 64
## 471 37 83.2 173.1 84
## 472 61 71.5 160.6 112
## 473 39 85.0 163.4 78
## 474 27 112.0 181.3 74
## 475 31 79.4 166.2 62
## 476 28 79.6 178.1 68
## 477 47 107.8 181.8 60
## 478 41 77.1 166.4 66
## 479 62 118.1 152.3 82
## 480 18 100.2 176.9 84
## 481 42 63.7 155.0 78
## 482 38 86.6 170.3 88
## 483 75 80.7 151.5 78
## 484 25 83.1 154.8 74
## 485 35 66.0 162.8 80
## 486 62 85.5 176.8 66
## 487 28 120.0 172.2 74
## 488 52 69.6 166.7 76
## 489 24 105.8 155.0 82
## 490 28 76.9 171.5 56
## 491 24 100.6 159.7 60
## 492 34 48.8 151.8 72
## 493 30 94.3 167.9 72
## 494 52 60.6 157.4 90
## 495 78 81.6 160.5 54
## 496 39 54.2 152.6 72
## 497 33 97.6 165.0 70
## 498 41 91.8 163.2 68
## 499 58 73.8 168.1 84
## 500 43 55.0 169.2 64
## 501 80 66.3 160.3 72
## 502 77 110.9 152.0 56
## 503 63 114.6 183.1 68
## 504 41 80.4 173.2 64
## 505 78 113.4 176.9 62
## 506 29 81.8 166.9 80
## 507 38 97.1 173.5 78
## 508 30 77.3 171.7 70
## 509 19 65.8 175.9 90
## 510 73 70.2 160.6 76
## 511 54 68.8 169.3 72
## 512 37 75.8 180.7 86
## 513 80 82.5 158.9 68
## 514 46 60.3 174.6 60
## 515 63 61.3 161.8 88
## 516 51 63.8 157.1 72
## 517 20 103.9 181.1 74
## 518 46 117.4 177.8 66
## 519 40 84.3 171.2 58
## 520 43 73.2 157.1 74
## 521 26 65.3 181.1 76
## 522 39 62.2 182.8 72
## 523 42 97.4 181.1 66
## 524 42 84.1 176.0 78
## 525 63 91.1 171.9 60
## 526 65 80.6 174.6 60
## 527 35 50.0 156.0 86
## 528 33 124.9 182.2 94
## 529 21 81.0 165.6 80
## 530 30 76.9 173.2 68
## 531 51 61.5 163.5 62
## 532 66 81.4 155.6 56
## 533 65 75.7 154.8 78
## 534 61 68.0 163.1 72
## 535 36 77.9 172.6 52
## 536 47 105.3 184.1 78
## 537 45 78.7 170.3 102
## 538 44 81.0 159.4 70
## 539 23 58.9 167.4 64
## 540 65 45.9 149.6 102
## 541 16 122.4 173.7 76
## 542 49 103.1 178.4 76
## 543 69 65.2 162.5 72
## 544 58 88.3 176.0 90
## 545 44 57.8 155.1 94
## 546 30 75.4 178.2 68
## 547 65 106.6 173.6 58
## 548 22 65.8 170.1 62
## 549 36 75.3 179.0 56
## 550 17 75.6 166.0 94
## 551 72 67.7 152.1 60
## 552 55 92.7 178.7 66
## 553 39 74.9 175.8 74
## 554 56 87.8 175.1 60
## 555 24 75.9 178.4 58
## 556 54 108.7 151.0 78
## 557 80 77.8 173.1 54
## 558 31 69.3 169.6 86
## 559 68 104.1 170.8 68
## 560 51 67.1 178.8 88
## 561 31 93.0 174.9 54
## 562 33 101.7 180.7 74
## 563 70 82.7 171.5 68
## 564 53 59.7 164.9 70
## 565 21 84.0 169.8 78
## 566 34 80.8 168.1 72
## 567 44 67.2 178.5 62
## 568 80 84.4 167.4 84
## 569 55 67.5 164.2 94
## 570 50 70.5 161.8 76
## 571 50 102.7 184.3 78
## 572 16 71.4 178.3 72
## 573 60 58.5 157.8 76
## 574 73 106.8 182.3 66
## 575 18 55.2 153.7 76
## 576 50 82.8 172.2 58
## 577 75 132.1 173.8 84
## 578 44 64.2 165.8 80
## 579 64 57.8 161.7 70
## 580 48 74.6 171.3 76
## 581 33 59.7 166.5 80
## 582 45 62.9 165.5 58
## 583 45 107.9 169.8 62
## 584 35 90.2 159.6 86
## 585 77 61.5 155.9 50
## 586 17 71.1 173.8 92
## 587 27 67.8 157.3 80
## 588 61 91.5 169.8 60
## 589 80 120.5 166.6 62
## 590 30 108.5 181.3 78
## 591 64 76.1 169.8 68
## 592 17 73.3 168.0 66
## 593 42 87.9 181.4 112
## 594 50 97.9 155.1 68
## 595 53 68.7 169.3 68
## 596 43 96.2 159.8 68
## 597 51 66.8 157.9 82
## 598 50 65.1 169.2 80
## 599 72 86.6 171.8 64
## 600 27 66.1 159.6 56
## 601 43 63.1 164.4 76
## 602 31 90.7 179.8 62
## 603 23 53.2 155.6 94
## 604 70 96.6 174.2 76
## 605 80 73.3 158.5 54
## 606 42 65.2 167.7 78
## 607 75 78.1 163.1 68
## 608 28 118.2 187.3 68
## 609 25 70.8 168.2 62
## 610 46 90.9 161.8 92
## 611 72 87.2 175.0 64
## 612 27 70.3 166.6 76
## 613 22 90.2 160.2 76
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## 1995 33 82.1 166.6 74
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## 2871 50 164.9 195.0 88
nhanes_regression <- lm(Weight ~., data = nhanes_train)
summary(nhanes_regression)
##
## Call:
## lm(formula = Weight ~ ., data = nhanes_train)
##
## Residuals:
## Min 1Q Median 3Q Max
## -43.860 -13.096 -3.099 10.227 116.080
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -112.64017 6.78932 -16.591 < 2e-16 ***
## Age 0.12471 0.02045 6.097 1.22e-09 ***
## Height 1.01324 0.03522 28.768 < 2e-16 ***
## Pulse 0.24685 0.03019 8.177 4.32e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 18.67 on 2867 degrees of freedom
## Multiple R-squared: 0.2311, Adjusted R-squared: 0.2303
## F-statistic: 287.2 on 3 and 2867 DF, p-value: < 2.2e-16
##Decision Tree
library(rpart)
library(rpart.plot)
nhanes_tree <- rpart(formula = Weight ~ ., data = nhanes_train)
prp(nhanes_tree, digits = 4, extra = 1)
##Bagging Model
Using 100 bootstrapped samples.
library(ipred)
nhanes_bag <- bagging(formula = Weight ~., data = nhanes_train, nbagg = 100)
##Random Florest
With 200 trees.
#install.packages('randomForest')
library(randomForest)
## randomForest 4.7-1.1
## Type rfNews() to see new features/changes/bug fixes.
nhanes_rf <- randomForest(Weight ~., data = nhanes_train, importance = TRUE, ntree = 200)
##Boosting Model
With 200 trees each having 5 splits and a shrinkage/weight of 0.03.
library(gbm)
## Loaded gbm 2.1.8.1
nhanes_boost <- gbm(formula = Weight ~., data = nhanes_train, distribution = "gaussian", n.trees = 200, shrinkage = 0.03, interaction.depth = 5)
nhanes_test <- read.csv("/Users/jusimioni/Desktop/MSDA 2021-23/Spring 2023/Big Data/Data/nhanes_test.csv")
##MSE
#MSE Regression Model
MSE_reg <- predict(nhanes_regression, nhanes_test)
mean((MSE_reg - nhanes_test$Weight)^2)
## [1] 332.8215
#MSE Decision Tree
MSE_tree = predict(nhanes_tree, nhanes_test)
mean((MSE_tree - nhanes_test$Weight)^2)
## [1] 334.6264
#MSE Bagging
MSE_bagg = predict(nhanes_bag, nhanes_test)
mean((MSE_bagg - nhanes_test$Weight)^2)
## [1] 327.0961
#MSE Random Florest
MSE_rf = predict(nhanes_rf, nhanes_test)
mean((MSE_rf - nhanes_test$Weight)^2)
## [1] 262.378
#MSE Boosting
MSE_boost = predict(nhanes_boost, nhanes_test)
## Using 200 trees...
mean((MSE_boost - nhanes_test$Weight)^2)
## [1] 314.1001
By looking at the MSE results the best model predicting body weight is Random Florest.
#Part 3: Clustering 1. Use R to compute the mean of each variable in the nhanes_train csv file.
colMeans(nhanes_train)
## Age Weight Height Pulse
## 45.14699 82.63375 169.54650 72.32045
library(fpc)
nhanes_clus <- kmeans(nhanes_train[, 1:4], 4)
nhanes_clus
## K-means clustering with 4 clusters of sizes 722, 426, 694, 1029
##
## Cluster means:
## Age Weight Height Pulse
## 1 63.13019 68.70402 162.5860 69.49030
## 2 35.10329 116.11033 175.9885 77.86854
## 3 54.87464 94.82695 174.8431 69.24207
## 4 30.12634 70.32488 168.1912 74.08552
##
## Clustering vector:
## [1] 3 2 4 2 2 3 3 3 3 1 4 4 4 2 3 2 4 4 4 1 3 4 1 2 1 3 1 3 4 4 4 1 4 2 4 1 1
## [38] 1 4 2 3 1 1 4 3 1 4 1 3 1 1 1 4 2 4 1 2 1 1 3 3 4 1 4 1 4 3 2 4 1 3 1 3 1
## [75] 2 4 4 4 4 2 1 4 3 4 3 4 4 1 3 3 4 1 4 2 2 3 4 4 4 4 1 3 1 4 4 3 1 4 1 4 4
## [112] 4 2 2 3 4 1 4 1 4 4 3 3 1 1 3 4 3 2 4 3 4 1 3 1 4 4 2 3 1 1 1 4 3 3 2 1 2
## [149] 4 3 4 4 3 4 1 1 2 4 4 4 2 4 2 4 3 4 4 4 4 1 2 3 4 4 2 2 4 3 4 1 4 4 4 4 4
## [186] 1 2 3 3 4 3 3 2 3 1 3 1 4 4 1 2 1 4 4 2 1 3 1 3 4 3 3 3 3 2 3 1 4 4 3 4 4
## [223] 4 2 2 4 4 2 1 1 4 3 2 1 2 2 3 1 1 4 4 4 3 1 1 3 4 3 3 3 4 4 3 4 4 2 1 3 1
## [260] 4 1 3 3 1 4 1 2 3 1 4 4 4 4 2 4 3 4 2 4 3 1 1 3 1 3 3 4 4 4 4 3 2 3 4 1 4
## [297] 1 3 3 4 4 3 4 4 2 2 1 4 4 1 1 4 4 3 4 1 4 4 1 4 2 3 3 3 4 4 2 1 4 4 4 1 3
## [334] 4 1 1 1 4 1 3 1 3 3 1 3 3 4 4 2 3 3 1 3 4 2 4 2 4 2 4 1 1 4 4 4 4 1 4 1 4
## [371] 1 4 4 4 4 4 1 3 1 3 3 1 3 4 1 4 4 4 2 4 1 3 1 4 1 2 4 3 4 3 4 4 4 4 1 3 1
## [408] 1 3 4 4 4 1 4 1 3 1 3 4 1 1 1 1 4 4 4 1 3 3 3 2 4 4 4 3 4 4 3 3 1 1 4 4 3
## [445] 4 1 4 4 4 2 1 3 1 3 3 3 2 1 4 4 3 2 3 2 2 2 3 3 3 1 4 1 4 2 4 4 3 4 3 2 4
## [482] 4 1 4 4 3 2 1 2 4 2 4 4 1 1 4 2 3 1 4 1 3 3 4 3 4 3 4 4 1 1 4 1 4 1 1 2 2
## [519] 3 4 4 4 3 3 3 1 4 2 4 4 1 1 1 1 4 2 4 4 4 1 2 3 1 3 4 4 3 4 4 4 1 3 4 3 4
## [556] 3 1 4 3 4 3 2 1 1 4 4 4 1 1 1 3 4 1 3 4 3 2 4 1 4 4 1 3 4 1 4 4 3 3 2 1 4
## [593] 2 3 1 3 1 1 3 4 4 3 4 3 1 4 1 2 4 3 3 4 4 1 1 3 4 3 1 1 4 3 4 3 4 3 2 3 3
## [630] 3 1 3 1 1 3 1 1 2 2 3 3 3 1 1 4 3 2 4 1 3 4 3 1 4 1 3 2 1 4 1 2 4 1 4 4 1
## [667] 3 2 4 4 4 4 2 1 2 4 3 2 2 2 3 3 4 2 2 4 4 4 3 3 1 2 4 3 1 1 4 2 1 3 2 4 4
## [704] 2 2 2 1 1 3 1 4 4 1 1 4 4 4 4 4 1 3 1 1 4 4 4 4 3 3 1 2 2 4 4 4 1 1 2 3 3
## [741] 4 1 2 4 4 1 4 4 1 4 1 4 2 1 1 1 1 1 3 4 4 4 4 1 4 2 4 3 4 1 4 2 3 3 4 2 3
## [778] 4 1 4 4 4 3 1 4 1 4 2 4 4 3 1 4 3 3 1 1 2 1 2 4 4 1 4 3 4 3 1 1 4 4 2 3 3
## [815] 2 4 2 4 4 3 1 4 4 4 3 4 1 3 3 1 1 2 1 3 4 1 1 4 4 3 3 4 1 1 2 1 4 2 3 1 4
## [852] 3 1 3 4 2 4 4 3 4 1 2 1 4 4 3 4 1 1 1 1 3 3 4 3 4 1 1 4 4 3 1 2 1 4 3 3 2
## [889] 2 1 3 3 2 1 4 4 3 1 2 2 3 2 1 3 4 1 1 4 1 3 2 4 4 2 4 3 4 4 4 3 4 4 2 2 4
## [926] 4 2 1 1 4 4 2 1 4 3 1 4 4 1 1 1 4 4 1 4 1 3 4 2 3 4 4 3 1 1 4 3 4 1 4 4 4
## [963] 4 3 4 4 4 3 3 4 1 4 1 4 3 3 4 4 2 3 1 2 1 2 2 1 4 1 4 1 4 4 4 2 4 1 3 3 3
## [1000] 1 4 3 1 2 1 3 4 2 1 4 2 4 1 1 4 2 3 3 3 4 4 3 2 1 3 1 1 2 4 2 1 4 4 3 2 4
## [1037] 3 3 4 1 3 4 4 2 4 1 2 4 1 4 4 4 4 3 2 1 4 4 2 4 2 4 4 1 1 1 4 4 1 1 3 4 4
## [1074] 3 3 1 4 2 3 1 1 2 2 4 4 2 1 4 4 4 4 1 1 2 2 3 4 3 3 4 2 3 2 1 1 4 4 2 2 4
## [1111] 4 4 3 4 2 1 3 2 4 1 2 2 3 3 4 1 4 3 3 1 1 2 4 4 4 4 3 1 3 4 2 2 3 4 1 4 3
## [1148] 1 4 1 1 1 4 4 4 1 1 4 4 3 1 4 4 2 4 3 3 4 3 4 4 2 3 3 1 2 4 2 1 4 2 4 4 1
## [1185] 1 4 1 4 2 2 4 3 3 3 2 3 1 3 4 1 4 1 3 4 4 4 3 1 4 4 2 2 3 3 3 1 4 1 1 2 4
## [1222] 3 4 4 1 1 4 3 1 1 3 3 4 4 2 1 4 2 3 3 3 1 1 4 3 3 4 3 1 1 4 4 4 1 3 4 2 3
## [1259] 3 1 1 3 4 3 4 4 4 1 1 4 1 3 3 4 4 2 3 2 3 1 3 1 1 1 4 3 1 3 4 4 4 1 4 4 4
## [1296] 1 2 3 4 2 3 3 3 1 1 1 1 2 3 1 2 4 3 4 1 4 2 4 1 1 3 3 4 4 4 1 3 1 1 3 2 2
## [1333] 1 1 4 3 2 3 3 2 1 1 1 3 3 2 1 4 2 4 4 4 1 3 3 1 3 4 1 2 3 1 1 3 1 2 3 4 3
## [1370] 2 2 1 4 3 3 2 4 1 4 3 3 4 1 1 1 1 1 4 4 1 2 1 3 4 2 4 1 2 3 1 1 4 1 4 3 4
## [1407] 1 2 2 1 2 3 3 3 4 2 1 4 1 1 4 3 3 1 2 3 3 1 1 1 1 2 1 3 3 4 1 4 3 1 3 4 3
## [1444] 2 3 4 4 1 1 1 3 3 1 4 2 4 4 4 1 3 4 3 3 4 3 4 4 3 4 4 4 4 3 1 2 4 4 4 4 1
## [1481] 1 1 2 3 4 2 4 1 3 4 4 1 2 4 1 4 2 1 2 4 1 3 3 3 1 1 1 3 3 4 3 4 3 4 1 4 1
## [1518] 3 3 3 1 4 1 2 2 1 1 1 4 1 2 2 1 4 4 3 4 1 3 2 1 2 2 4 4 3 4 1 3 2 3 4 4 3
## [1555] 2 1 1 4 4 1 3 1 1 1 4 4 3 1 4 2 3 4 3 2 4 4 1 3 3 2 1 4 2 3 3 4 2 1 4 4 3
## [1592] 1 2 4 4 4 1 4 2 4 1 4 1 1 3 3 1 3 1 3 4 3 2 3 3 3 3 3 1 3 4 2 4 1 3 4 2 3
## [1629] 3 1 3 1 4 4 4 4 2 3 1 4 3 4 1 4 2 4 3 1 4 1 4 4 3 1 2 2 4 4 1 3 3 3 3 1 3
## [1666] 1 1 4 4 4 3 4 4 4 2 1 4 4 2 3 3 4 4 4 4 3 1 3 4 4 2 1 1 1 4 3 2 4 3 2 4 4
## [1703] 2 4 1 1 4 3 4 1 1 2 3 1 1 3 2 1 2 4 4 3 3 1 3 4 3 4 4 2 1 2 1 4 1 4 3 4 2
## [1740] 2 2 3 4 4 1 3 3 3 4 3 4 1 2 1 4 4 4 3 4 1 4 1 1 4 2 4 2 4 4 4 3 1 4 4 4 4
## [1777] 1 2 1 2 3 4 4 4 4 1 4 4 4 1 3 1 3 4 2 4 3 4 1 3 4 1 1 1 3 4 1 3 3 1 1 2 3
## [1814] 1 4 2 4 4 4 3 1 4 4 1 3 1 4 1 1 1 1 1 4 1 4 1 4 1 3 1 2 3 2 4 4 1 1 4 3 4
## [1851] 2 4 1 3 3 3 1 3 1 4 4 3 1 1 4 3 2 4 4 4 4 1 1 3 1 2 4 1 1 3 4 4 3 1 2 4 4
## [1888] 4 4 1 3 1 2 3 4 1 2 1 3 3 4 3 3 1 1 3 4 4 4 2 4 2 4 2 1 4 1 4 1 2 4 2 4 3
## [1925] 3 3 2 1 3 4 1 2 3 1 1 4 1 3 4 3 4 4 3 4 2 4 2 4 2 2 1 1 4 4 4 3 4 1 1 3 4
## [1962] 3 2 4 1 4 4 3 1 1 4 4 4 4 3 1 1 4 3 2 4 4 4 3 1 2 4 4 1 3 4 1 4 3 4 2 4 4
## [1999] 4 4 4 4 1 2 4 3 3 3 3 3 4 1 3 1 4 2 1 3 4 4 4 4 1 4 3 3 3 3 3 4 4 2 4 2 1
## [2036] 1 3 4 4 2 1 4 3 3 3 4 2 3 4 4 2 4 3 2 4 4 3 2 4 4 2 3 1 4 4 2 4 3 2 3 3 2
## [2073] 4 4 4 1 2 2 1 2 4 3 1 4 4 3 3 2 4 1 1 2 4 3 4 3 4 1 3 3 3 4 1 1 2 1 4 4 2
## [2110] 1 4 4 4 4 3 4 2 3 2 4 3 4 4 3 4 4 3 1 1 4 4 1 4 1 4 4 2 4 4 4 1 4 3 4 1 4
## [2147] 4 2 1 4 2 1 3 3 4 4 3 1 1 3 4 2 2 1 3 3 3 1 3 3 4 4 2 2 4 2 1 3 3 1 1 1 2
## [2184] 3 3 4 4 1 1 2 2 4 4 3 1 3 4 4 1 1 1 2 3 3 4 1 3 3 3 2 4 2 4 4 2 4 2 4 4 3
## [2221] 2 4 1 3 4 4 2 4 3 4 2 3 4 4 4 4 3 1 3 4 1 3 2 3 4 1 3 4 4 4 1 1 4 4 2 3 3
## [2258] 4 3 4 4 3 3 1 3 1 2 2 1 4 2 3 4 3 2 4 4 2 3 4 1 4 3 3 4 4 3 4 2 4 3 1 2 4
## [2295] 3 4 3 4 4 1 3 4 1 2 2 4 4 1 3 4 4 1 4 4 4 1 4 3 2 3 1 1 4 4 3 1 2 2 1 4 3
## [2332] 3 4 1 3 4 1 1 1 2 4 4 1 3 2 2 4 4 4 3 1 4 4 2 3 3 1 3 1 4 1 1 2 4 1 4 3 3
## [2369] 2 4 4 3 1 3 2 2 3 4 1 4 4 1 2 1 3 2 3 1 1 4 4 4 2 2 2 2 3 1 1 1 3 3 4 1 4
## [2406] 4 4 4 4 1 4 4 1 4 2 3 3 4 3 3 4 3 4 4 4 4 1 4 3 2 3 2 1 1 4 4 4 2 3 4 1 4
## [2443] 1 3 1 4 1 1 4 4 4 1 3 2 3 1 4 3 3 4 4 2 2 4 4 4 2 3 4 4 4 4 2 3 4 1 2 4 2
## [2480] 3 2 2 4 3 3 4 4 1 2 4 3 4 4 1 1 2 2 1 3 1 4 3 4 2 4 2 4 2 4 2 4 4 1 3 3 1
## [2517] 1 1 2 3 1 1 4 2 2 1 1 1 4 2 3 4 1 3 3 4 2 4 2 2 3 4 4 1 4 1 4 4 3 2 4 3 1
## [2554] 1 3 1 4 3 1 4 3 4 1 4 4 3 3 4 3 4 2 3 3 4 3 3 4 3 4 3 1 4 2 3 1 1 3 3 2 4
## [2591] 1 3 2 1 1 3 1 3 4 1 3 1 2 2 4 4 3 3 2 1 4 4 2 1 4 4 3 2 4 4 1 4 1 3 1 3 3
## [2628] 3 3 2 1 3 4 4 2 1 3 4 1 4 4 1 1 4 3 2 3 4 3 1 4 4 4 3 4 2 4 3 2 1 1 1 4 1
## [2665] 4 3 1 3 2 3 2 4 1 4 3 4 4 2 3 4 2 1 3 3 1 3 4 1 4 3 3 4 3 3 3 1 3 4 4 4 1
## [2702] 3 3 4 1 1 1 3 1 4 1 1 4 4 2 4 3 4 1 4 2 1 1 1 1 1 3 4 3 4 1 2 3 4 4 1 3 2
## [2739] 3 1 3 2 4 3 4 2 3 3 3 2 2 2 1 4 1 4 4 4 4 1 3 1 1 4 4 4 1 3 3 2 4 3 4 2 4
## [2776] 1 4 4 2 3 1 4 3 4 4 1 4 3 3 1 1 1 1 2 1 3 1 1 2 4 1 3 4 4 1 3 2 3 1 3 2 2
## [2813] 4 4 3 3 1 1 4 4 1 4 2 1 4 4 3 2 3 4 3 4 2 3 4 3 3 2 3 3 3 1 1 3 1 4 3 2 2
## [2850] 2 2 1 2 1 3 2 3 2 1 1 4 4 4 2 4 1 1 4 4 1 2
##
## Within cluster sum of squares by cluster:
## [1] 296828.7 306535.3 297261.0 418698.2
## (between_SS / total_SS = 54.1 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"
nhanes_clus$centers
## Age Weight Height Pulse
## 1 63.13019 68.70402 162.5860 69.49030
## 2 35.10329 116.11033 175.9885 77.86854
## 3 54.87464 94.82695 174.8431 69.24207
## 4 30.12634 70.32488 168.1912 74.08552
nhanes_clus$cluster[200]
## [1] 1