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With the data in the accompanying table, estimate GPA = β0 + β1 GRE + ε , where GRE is a student's score on the math portion of the Graduate Record Examination score and GPA is the student's grade point average in graduate school.

a. Construct a 90% confidence interval for the expected GPA for an individual who scored 710 on the math portion of the GRE.

b. Construct a 90% prediction interval for the GPA for an individual who scored 710 on the math portion of the GRE.

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