Using the same admissions data in the file P14_04.xlsx, discretize the GMAT Score and Undergraduate GPA variables according to their quartiles. Then use the nave Bayes procedure to classify the 100 applicants as Yes or No for admittance. (Remember that classifications can be based on the probabilities themselves, not necessarily their logs.)

a. How successful is the classification? If needed, round your answers to one decimal digit. error rate for No, Yes and Total?

Applicant Top Ten Interview 7 12 13 14 15 16 17 702 18 GMAT Score Undergraduate GPA Admitted 656 3.67 Yes 699 3.62 Yes 664 3.63 Yes 725 3.70 Yes 706 3.65 Yes 679 3.51 Yes 659 3.45 Yes 685 3.58 Yes 673 3.64 Yes 649 3.61 Yes 675 3.59 Yes 693 3.66 Yes 637 3.50 Yes 713 3.58 Yes 672 3.56 Yes 718 3.77 Yes 3.55 Yes 668 3.55 Yes 652 3.54 Yes 688 3.46 Yes 696 3.72 Yes 736 3.68 Yes 595 3.42 Yes 642 3.53 Yes 683 3.80 Yes 616 3.47 No 542 3.17 No 572 3.28 No 624 3.54 No 611 3.37 No 602 3.36 NO 3.21 No 626 3.39 No 545 3.30 No 3.18 No 537 3.23 No 556 3.16 No 3.32 No 599 3.30 No 23 24 29 554 34 533 37 595 38 39 615 540 580 582 571 574 562 590 559 525 570 570 582 565 568 583 591 578 636 621 548 577 646 588 509 576 601 563 593 588 610 3.44 No 3.20 No 3.24 No 3.36 No 3.20 No 3.27 No 3.09 No 3.38 No 3.23 No 3.22 No 3.22 No 3.22 No 3.28 No 3.15 No 3.41 NO 3.26 No 3.45 No 3.29 No 3.49 No 3.42 No 3.19 No 3.30 No 3.40 NO 3.25 No 3.14 NO 3.07 No 3.33 No 3.27 No 532 612 600 597 605 566 564 577 3.35 No 3.16 No 3.34 No 3.19 No 3.12 No 3.23 No 3.31 No 3.42 No 3.43 No 3.27 No 3.39 No 3.38 No 585 594 596 586 6301 555 590 551 585 3.24 No 3.33 No 3.29 No 3.36 No 3.40 No 3.44 No 3.34 No 3.30 No 3.32 No 3.31 No 3.37 No 3.33 No 3.35 No 3.28 No 3.50 No 3.29 No 3.31 No 3.25 No 3.34 No 3.26 No 3.26 NO 608 618 567 677 604 552 549 580 517 100 544 Applicant Top Ten Interview 7 12 13 14 15 16 17 702 18 GMAT Score Undergraduate GPA Admitted 656 3.67 Yes 699 3.62 Yes 664 3.63 Yes 725 3.70 Yes 706 3.65 Yes 679 3.51 Yes 659 3.45 Yes 685 3.58 Yes 673 3.64 Yes 649 3.61 Yes 675 3.59 Yes 693 3.66 Yes 637 3.50 Yes 713 3.58 Yes 672 3.56 Yes 718 3.77 Yes 3.55 Yes 668 3.55 Yes 652 3.54 Yes 688 3.46 Yes 696 3.72 Yes 736 3.68 Yes 595 3.42 Yes 642 3.53 Yes 683 3.80 Yes 616 3.47 No 542 3.17 No 572 3.28 No 624 3.54 No 611 3.37 No 602 3.36 NO 3.21 No 626 3.39 No 545 3.30 No 3.18 No 537 3.23 No 556 3.16 No 3.32 No 599 3.30 No 23 24 29 554 34 533 37 595 38 39 615 540 580 582 571 574 562 590 559 525 570 570 582 565 568 583 591 578 636 621 548 577 646 588 509 576 601 563 593 588 610 3.44 No 3.20 No 3.24 No 3.36 No 3.20 No 3.27 No 3.09 No 3.38 No 3.23 No 3.22 No 3.22 No 3.22 No 3.28 No 3.15 No 3.41 NO 3.26 No 3.45 No 3.29 No 3.49 No 3.42 No 3.19 No 3.30 No 3.40 NO 3.25 No 3.14 NO 3.07 No 3.33 No 3.27 No 532 612 600 597 605 566 564 577 3.35 No 3.16 No 3.34 No 3.19 No 3.12 No 3.23 No 3.31 No 3.42 No 3.43 No 3.27 No 3.39 No 3.38 No 585 594 596 586 6301 555 590 551 585 3.24 No 3.33 No 3.29 No 3.36 No 3.40 No 3.44 No 3.34 No 3.30 No 3.32 No 3.31 No 3.37 No 3.33 No 3.35 No 3.28 No 3.50 No 3.29 No 3.31 No 3.25 No 3.34 No 3.26 No 3.26 NO 608 618 567 677 604 552 549 580 517 100 544