various discounts a shoe companyoffers, and the number of people who took advantage of the discounts.

1. Fit a logistic regression model to the data.
2. Use a simple linear regression model as the structure for the linear predictor.
3. Does the model deviance indicate that the logistic regression model from part1 is adequate?

original price discount number of people who purchased

104 0.3 352 1 98 0.3 302 150 0.2 435 36 0.1 317 183 0.4 409 25 0.3 480 197 0.4 313 57 0.1 322 21 0.3 476 185 0.4 495 85 0.2 333 173 0.2 305 135 0.3 312 87 0.4 439 156 0.3 464 158 0.4 396 64 0.1 412 36 0.2 407 174 0.3 440 193 0.2 493 161 0.4 443 182 0.4 317 82 0.4 443 129 0.2 467 167 0.4 367 165 0.2 425 38 0.1 358 146 0.4 334 140 0.3 340 48 0.1 481 22 0.2 352 157 0.2 329 24 0.3 446 31 0.1 332 23 0.1 365 20 0.2 350 126 0.4 352 113 0.4 324 83 0.3 386 139 0.2 358 172 0.4 307 32 0.3 301 146 0.3 409 190 0.4 347 179 0.3 325 126 0.3 433 67 0.2 490 160 0.2 469 150 0.3 427 75 0.2 369 138 0.2 450 63 0.1 310 62 0.3 382 35 0.3 404 155 0.3 496 45 0.2 333 98 0.2 305 70 0.1 367 165 0.3 313 75 0.2 384 27 0.2 411 22 0.2 437 127 0.2 448 39 0.1 371 93 0.2 361 35 0.3 485 196 0.3 450 174 0.3 315 111 0.2 461 90 0.3 408 33 0.2 432 191 0.2 340 112 0.2 400 139 0.3 342 80 0.3 467 63 0.1 390 37 0.2 440 159 0.4 335 118 0.3 316 34 0.3 344 61 0.1 407 66 0.1 408 164 0.4 498 40 0.1 406 168 0.3 325 112 0.4 457 101 0.2 328 197 0.2 482 199 0.2 382 40 0.3 486 24 0.2 469 116 0.2 454 138 0.2 322 175 0.4 456 100 0.4 316 137 0.2 429 150 0.2 342 28 0.2 385 190 0.2 345 41 0.3 420