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Question : The director of graduate admissions at a


The director of graduate admissions at a large university is analyzing the relationship between scores on the math portion of the Graduate Record Examination (GRE) and subsequent performance in graduate school, as measured by a student’s grade point average (GPA). She uses a sample of 24 students who graduated within the past five years. A portion of the data is as follows:

GPA ……………………………………………………………………………………………… GRE
3.0 …………………………………………………………………………………………………. 700
3.5 …………………………………………………………………………………………………. 720
⋮ …………………………………………………………………………………………………………. ⋮
3.5 …………………………………………………………………………………………………… 780

a. Find the sample regression equation for the model: GPA = β0 + β1GRE + ε.
b. What is a student’s predicted GPA if he/she scored 710 on the math portion of the GRE?