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.