(Requires StatTools) Run a regression of Y versus the X's, using dummy variables as necessary. Which of the following is true? Click here to reference the data needed to answer the question. a. For any given values of X1 and X2, if X3 changes from No to Yes, Y is expected to decrease by about 31.46 units. O b. For any given values of X1 and X2, if X3 changes from Maybe to No, Y is expected to decrease by about 16.40 units. X O c. If X1 and X2 both decrease by 10 units, Y is expected to decrease by about 12.62 units, but this depends on the category in X3 (Yes, No, or Maybe). O d. None of these choices are true.A B C D Y X1 X2 X3 212 145 287 Yes 3 295 160 240 No 4 239 149 288 Yes 300 173 237 No 307 175 225 Maybe 220 146 281 Yes 8 235 145 246 Maybe 9 291 154 243 No 10 298 164 264 No 11 273 152 262 Maybe 12 205 145 286 Yes 13 262 165 262 Maybe 14 220 151 295 Yes 15 305 150 255 No 16 260 147 263 Maybe 17 282 155 250 No 18 274 149 280 No 19 278 150 207 Yes 20 313 167 219 Maybe 21 284 171 257 Maybe 22 293 165 249 Maybe 23 288 151 215 Maybe 24 261 149 231 Maybe 25 225 147 274 Yes 26 244 148 273 Yes 27 257 153 242 Yes 28 266 146 260 No 29 285 151 262 No 30 237 144 238 Maybe 31 263 159 274 Maybe 32 258 146 268 No33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 303 296 249 255 289 230 209 188 258 201 237 233 243 254 269 235 267 261 282 280 271 316 264 252 248 270 239 297 228 251 286 269 158 156 157 156 169 152 145 144 155 144 148 149 152 154 147 148 153 146 159 151 149 163 161 149 152 154 146 163 146 154 160 151 239 231 265 245 280 282 286 290 255 269 276 269 290 259 256 278 267 257 209 259 282 227 266 277 272 251 270 234 284 276 221 212 No Maybe Yes Yes Maybe Yes Yes Yes Maybe Yes Yes Maybe Maybe Maybe No Maybe No Maybe Yes Maybe No No Yes Maybe Yes Maybe Maybe No Maybe Yes Yes Yes 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 230 228 240 241 256 216 309 256 287 259 279 273 243 272 277 265 292 275 267 213 246 224 247 280 217 283 276 245 223 232 250 277 148 151 157 147 157 145 166 145 154 155 158 146 146 147 153 150 162 150 147 145 156 150 152 158 148 155 145 148 145 161 150 153 241 295 271 265 254 274 251 252 270 279 247 236 248 234 261 272 248 229 277 291 275 292 296 253 293 258 223 285 284 283 279 268 Yes Maybe Yes Yes Yes Yes No No No No Maybe No Yes No No Maybe Maybe Maybe No Yes Yes Maybe Maybe No Yes No No No Maybe Yes No No