The accompanying 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. Complete parts (a) through (c) below. Click the icon to view the data for the math and critical reading scores. a. Find and report the value for the correlation coefficient and the regression equation for predicting the math score from the critical reading score. Then find the predicted math score for a state with a critical reading score of 496. The correlation coefficient is ☐ . (Round to three decimal places as needed.) Find the regression equation. Predicted Math =+ (Critical Reading (Round to two decimal places as needed.) Find the predicted math score for a state with a critical reading score of 496. The predicted math score is (Round to the nearest whole number as needed.) b. Find and report the value for the correlation coefficient and the regression equation for predicting the critical reading score from the math score. Then find the predicted critical reading score for a state with a math score of 496. The correlation coefficient is ☐, (Round to three decimal places as needed.) Find the regression equation. Predicted Critical Reading = + (Math (Round to two decimal places as needed.) Find the predicted critical reading score for a state with a math score of 496. The predicted critical reading score is ☐ (Round to the nearest whole number as needed.) Quest SAT Math Score SAT Critical Reading Score O о Ques 499 496 559 563 Que 506 495 494 494 O Que 608 597 450 463 O Qu 607 595 508 487 value of r and on the regression equation. Choos cient depends on which variable is the dependen the dependent variable. cient depends on which variable is the dependen efficient does not depend on which variable is the h variable is the dependent variable. efficient does not depend on which variable is the ble is the dependent variable. Ο 388 414 521 500 494 494 592 588 597 592 563 557 563 580 * 506 504 485 490 616 599 8 502 489 524 523 516 518 527 523 587 582 503 509 K 480 486 caps lock 504 499 486 470 c. Discuss the effect of changing the choice of dependent and independent variable on the value of r and on the regression equation. Choose the correct answer below. OA. The correlation coefficient will change, because the formula for the correlation coefficient depends on which variable is the dependent variable. The regression equation will not change, because the formulas for the slope and intercept do not depend on which variable is the dependent variable. OB. The correlation coefficient will change, because the formula for the correlation coefficient depends on which variable is the dependent variable. The regression equation will change, because the formulas for the slope and intercept depend on the correlation coefficient. OC. The correlation coefficient will not change, because the formula for the correlation coefficient does not depend on which variable is the dependent variable. The regression equation will not change, because the formulas for the slope and intercept do not depend on which variable is the dependent variable. OD. The correlation coefficient will not change, because the formula for the correlation coefficient does not depend on which variable is the dependent variable. The regression equation will change, because the formulas for the slope and intercept depend on which variable is the dependent variable.