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A professor collects a sample of students, recording the total number of minutes they devote to their studies per week, and their current GPA. X

A professor collects a sample of students, recording the total number of minutes they devote to their studies per week, and their current GPA.

X | 420 610 625 500 400 450

Y | 2.80 3.60 3.75 3.00 2.50 2.70

MUST SHOW ALL WORK! NO EXCEL!

a) Determine the least squares line.

b) Test the hypothesis that more study time results in higher GPA (at 5% significance)

c) What is the predicted GPA of a student who studies 500 minutes per week?

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