Question: Quantitative techniques A B C D E F G H K K 1 2 3 Q1. There is an output Y and five possible x-variables,

Quantitative techniques Quantitative techniques A B C D E F G H K K 1 2 3

A B C D E F G H K K 1 2 3 Q1. There is an output Y and five possible x-variables, Factors A, B, C, D, and E. Use VIF tests at threshold 5 and t-test at alpha=5% to refine the linear regression model. What is the 90% confidence interval of the b-coefficients (bo, b1, etc.) of the final model? (10 marks) After removing Band D Final model Output Y Factor A Factor B Factor Factor D Factor E 109 95.9 313 190.9 32.2 49.5 4 5 6 440.7 39.2 563 61.9 59 354.7 338.8 7 7 489.6 28.1 491 53 42.9 8 443.6 30.9 562 359.7 56.8 58 9 879.9 36.2 665 458.9 66.5 59.4 10 101.3 26.9 305 204.4 36.3 58.4 11 63.3 358 250.6 38.3 60 260.5 300.6 12 21.1 376 251.9 42.9 43.7 13 217 55.6 326 202.1 34.2 42.2 14 342 80.4 456 301 41.5 50.1 15 481.1 92.4 559 363.4 66 59.5 16 581.4 83.6 625 356.3 59.4 56.3 17 335.1 93.4 465 269.7 51.2 51.7 18 476.2 97.6 581 325.4 66.8 51.7 19 3.4 24.9 337 168.5 31.3 48.6 20 292.9 40.4 465 265 1 46 47.2 21 353.2 45 500 270 52.5 51.1 22 712.3 54 637 375.8 61.8 44 23 727,4 55.3 641 435.9 59.6 54.5 24 227.1 85.9 371 241.2 40.1 44.2 25 -15.3 43.9 315 167 30.2 58.9 26 71 35.1 323 193.8 32.9 48.3 27 308.2 62.8 433 290.1 46.8 48.7 28 430.8 81.7 623 324 59.8 44.7 29 288.8 69.9 460 271.4 42.3 59.7 30 350.1 64.4 457 260.5 47.1 42 31 354.2 20.2 501 305.6 57.6 47.6 32 164.1 32.6 337 229.2 38.4 55.9 33 363 88.2 498 268.9 51.3 50.6 34 374.1 20.8 505 323.2 57.1 55.9 35 494,4 77.5 518 316 58.5 44 36 138.2 34 327 173.3 37.6 42.3 37 591.2 55.6 542 357.7 62.9 41.8 33 247.4 76.8 366 234 2 35.9 52.1 39 380.2 39.2 546 316.7 58.4 52.7 40 264.2 32.1 418 255 39.3 50.7 41 103 55.7 345 179.4 35.2 43.3 42 354.5 66.5 485 281.3 51.9 43.9 43 229.1 97.2 358 225.5 42.2 41 44 340.8 29.6 496 277.8 56 47.1 45 223.7 84 339 230.5 37.6 52 45 760.7 69.3 616 394.2 72.7 40.3 47 193.2 34.8 361 238.3 34.3 52.8 45 238.4 99.1 335 214.4 33.5 49.1 49 867 23.9 659 441.5 64.6 42.3 50 651.8 90.4 581 366 54 53.6 51 209.3 53.7 366 223.3 42.8 47.6 52 293.5 97.3 433 255.5 41.6 47.6 53 106.8 73.8 379 208.5 39.4 58 54 91 69.7 354 180.5 41.4 52 55 144.7 65.6 411 221.9 38.2 57.5 56 115.6 91.5 361 202.2 35 58.9 57 116.4 64.5 348 187.9 40 45.2 59 729.5 68.7 653 378.7 58.8 40.9 59 344.3 87 501 285.6 59.6 56.5

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