Thirteen students entered the business program at Sante Fe College 2 years ago.

Question

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years. a) The least-squares regression equation that shows the best relationship between GPA and the SAT score is (round your responses to four decimal places): y = 1.03 + .0035 x where y = GPA and x = SAT score. b) For a student with an SAT score of 350, the expected GPA = 2.26 (round your response to two decimal places). c) For a student with an SAT score of 780, the expected GPA = (round your response to two decimal places).

Explanation / Answer

The least squares regression equation is

y = 1.03 + 0.0035 * x

where y is GPA and x is SAT score

now for part b we have x = 350, therefore GPA,

y = 1.03 + 0.0035 * 350 = 1.03 + 1.225 = 2.255 or 2.26

expected GPA = 2.26

for part c we have x = 780, therefore expected GPA

y = 1.03 + 0.0035 * 780 = 1.03 +2.73 = 3.76

the expected GPA = 3.76

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