At Hofstra University, all students take the math SAT before entrance, and most students take a mathematics placement test before registration. Recently, one professor collected the following data for 19 students in his Finite Mathematics class:

(a) Find an equation for the least squares line. Let x be the math SAT and y be the placement test score.
(b) Use your answer from part (a) to predict the mathematics placement test score for a student with a math SAT score of 420.
(c) Use your answer from part (a) to predict the mathematics placement test score for a student with a math SAT score of 620.
(d) Calculate the correlation coefficient.
(e) Based on your answer to part (d), what can you conclude about the relationship between a student’s math SAT and mathematics placement test score?

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Math Placement SAT Test 540 20 510 16 490 10 560 470 600 540 8 12 11 10 Math Placement Math SAT Test SAT 580 8 440 680 520 560 620 560 680 500 550 470 620 15 8 13 14 10 Placement Test 10 11 11 8 8 7