The following table shows the average SAT Math and Critical Reading scores for students in a sample of states. A scatterplot for these two variables suggests a linear trend.

a. Find and report the value for the correlation coefficient and the regression equation for predicting the math score from the critical reading score, rounding off to two decimal places. Then find the predicted math score for a state with a critical reading score of 600.

b. Find and report the value of the correlation coefficient and the regression equation for predicting the critical reading score from the math score. Then find the predicted reading score for a state with a math score of 600.

c. Discuss the effect of changing the choice of dependent and independent variable on the value of r and on the regression equation.

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SAT Math SAT Critical SAT Math SAT Critical Score Reading Score Score Reading Score 580 563 463 450 596 599 494 494 561 556 488 487 589 590 592 597 494 494 581 574 525 530 470 486 500 521 579 575 551 544 523 524 489 502 518 516 498 504 414 388 597 608 502 510 557 563 509 497 576 569 591 605 523 521 589 586 499 504