7. The following table gives the 1996 SAT mean math and verbal scores in each state and the District of Columbia, along with the percentage of the states’ graduating high school students that took the examination. Use data relating to the first 20 locations listed (Alabama to Maine) to develop a prediction of the mean student mathematics score in terms of the percentage of students that take the examination. Then compare your predicted values for the next 5 states (based on the percentage taking the exam in these states) with the actual mean math scores.

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Verbal Alabama 565 Alaska. 521 Arizona. 525 Arkansas 566 SAT Mean Scores by State, 1996 (recentered scale) 1996 % Graduates Taking SAT 8 47 28 6 Math 558 513 521 550 California. 495 511 Colorado 536 538 Connecticut. 507 504 Delaware.. 508 495 Dist. of Columbia. 489 473 Florida 498 496 Georgia. 484 477 Hawaii 485 510 Idaho.. 543 536 Illinois. 564 575 Indiana 494 494 Iowa 590 600 Kansas. 579 571 Kentucky 549 544 Louisiana 559 550 Maine... 504 498 Maryland. 507 504 Massachusetts 507 504 Michigan 557 565 Minnesota 582 593 Mississippi. 569 557 Missouri 570 569 Montana. 546 547 Nebraska. 567 568 Nevada 508 507 New Hampshire. 520 514 New Jersey 498 505 New Mexico 554 548 New York 497 499 North Carolina. 490 486 North Dakota 596 599 Ohio 536 535 Oklahoma 566 557 Oregon 523 521 Pennsylvania 498 492 71 *RDERERS F 45 30 79 66 50 48 63 54 15 14 57 5 9 12 9 68 64 80 11 9 4 9 21 9 31 70 69 12 73 59 5 24 8 50