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Y X1 X2 X3 X4 X5 X6 X7 X8 29 301 181 234 76 260 232 472 296 19 293 138 204 73 312 237

Y X1 X2 X3 X4 X5 X6 X7 X8
29 301 181 234 76 260 232 472 296
19 293 138 204 73 312 237 377 325
25 310 217 211 70 278 232 461 190
32 318 190 239 81 248 239 633 240
21 290 157 200 85 280 239 583 322
33 297 243 230 72 245 241 467 205
36 339 214 264 89 245 238 365 282
35 332 218 247 51 248 238 353 268
35 319 212 262 76 245 241 553 305
36 340 228 262 64 253 240 505 275
34 292 245 268 60 249 240 399 207
23 276 196 211 63 277 241 587 264
26 279 151 251 81 272 231 355 294
33 290 229 273 72 255 239 542 240
22 271 160 230 91 285 237 433 301
33 328 221 241 50 256 240 535 289
33 334 146 270 60 252 237 514 255
35 324 223 250 62 247 238 490 315
30 298 199 244 86 265 238 599 312
33 331 171 244 69 249 239 438 267
32 313 195 253 101 251 239 665 229
31 311 184 266 52 273 240 650 292
27 296 153 249 79 268 233 485 272
30 302 148 264 107 253 240 513 219
30 326 231 252 76 289 235 551 299
25 312 200 219 91 292 239 575 247
28 287 209 233 69 262 240 567 245
23 279 129 229 82 264 237 444 306
28 321 141 240 58 279 241 326 279
28 290 199 232 82 267 238 272 269
31 305 165 223 84 247 240 471 284
35 316 179 269 67 246 240 691 254
23 266 166 224 99 274 239 510 277
32 319 237 222 73 251 240 607 266
33 300 232 258 65 250 239 550 198
25 288 163 216 53 270 241 389 252
36 320 263 286 55 252 239 430 221
36 296 209 271 88 244 240 337 328
30 273 201 257 57 253 233 543 260
37 342 247 267 95 246 236 522 293
34 323 205 275 73 255 240 498 296
25 280 179 225 74 256 222 426 238
31 317 211 256 74 267 240 536 169
27 284 170 243 80 262 226 545 309
30 308 174 255 84 254 232 479 237
26 278 192 238 87 276 241 528 273
23 275 135 214 77 256 237 379 258
32 314 187 265 66 259 235 445 271
28 303 182 228 83 268 236 556 319
28 295 177 235 84 259 236 580 270
20 252 156 217 71 288 241 560 217
24 265 184 248 70 287 237 501 309
27 295 182 219 85 258 236 417 242
19 262 131 242 68 300 235 493 222
38 347 226 279 63 247 236 409 314
27 270 167 237 97 252 235 519 224
24 294 144 208 70 263 235 313 281
22 312 122 205 66 271 230 561 244
29 308 219 243 46 282 236 507 282
28 283 172 231 75 254 240 421 248
31 304 180 274 59 265 234 476 250
31 315 225 235 71 257 234 592 210
26 299 201 206 79 261 237 462 232
34 309 206 251 74 244 238 610 289
30 324 196 236 66 259 229 528 227
27 273 191 245 61 262 238 480 227
34 305 215 246 65 247 241 415 274
18 259 161 210 79 309 239 394 290
31 307 239 261 93 266 227 603 256
28 282 204 246 74 264 233 630 304
29 263 250 253 60 275 237 367 263
22 246 162 217 68 270 237 488 261
29 316 208 238 75 270 229 403 231
29 291 193 241 62 261 231 517 257
35 336 185 285 63 249 238 496 214
33 329 222 240 58 258 238 598 286
32 301 177 282 57 265 239 384 331
31 275 189 260 78 249 239 484 287
20 257 148 213 77 273 239 540 249
26 288 187 259 80 291 236 407 241
25 282 213 227 89 282 236 458 247
24 268 169 222 95 263 240 637 235
32 309 233 237 92 251 228 581 259
27 304 193 234 55 283 241 613 225
27 306 206 215 90 273 240 428 261
29 294 176 248 67 254 231 565 216
29 287 255 226 92 260 234 569 233
22 277 159 227 78 284 235 450 251
25 283 158 254 69 295 240 503 298
17 267 142 198 71 304 234 526 340
24 286 189 223 86 281 233 619 194
32 325 151 256 88 250 239 642 319
34 300 236 277 80 259 237 572 302
30 328 154 258 87 269 235 531 265
21 258 203 221 63 297 238 455 212
31 322 216 233 68 255 232 451 278
26 298 168 229 82 276 240 466 279
24 285 168 220 77 267 235 622 202
37 334 197 293 56 243 234 441 285
30 315 174 249 64 257 238 590 234

(Requires StatTools) Run a series of multiple regressions of Y versus the X's as follows. Start with an equation that has all of the X's. Then if any X has a p-value greater than 0.10, run another regression without the variable that has the largest p-value. Keep running regressions, always deleting the variable with the largest p-value, until all of the remaining p-values are less than 0.10. Which of the following is true?

Click here to reference the data needed to answer the question.

a. The final equation has a standard error of estimate greater than the standard error of estimate for the equation with all of the X's, but the difference is less than 0.10.
b. The final equation contains 6 of the 8 X's, and the two variables missing both have a correlation less than 0.20 (in magnitude) with Y.
c. The final equation has an R-square value less than the R-square value for the equation with all of the X's, but the difference is less than 0.001.
d. All of these choices are true.

Please explain why option A is correct

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