Question

Exercise 15-41 Algo

Estimate: GPA = β₀ + β₁GRE + ε, where GRE is a student’s score on the math portion of the Graduate Record Examination (GRE) score and GPA is the student’s grade point average in graduate school. [You may find it useful to reference the t table.]


a. Construct the 90% confidence interval for the expected GPA for an individual who scored 730 on the math portion of the GRE. (Round regression estimates to at least 4 decimal places, "t_α/2,df" value to 3 decimal places, and final answers to 2 decimal places.)

b. Construct the 90% prediction interval for GPA for an individual who scored 730 on the math portion of the GRE. (Round regression estimates to at least 4 decimal places, "t_α/2,df" value to 3 decimal places, and final answers to 2 decimal places.)

GPA	GRE
3,6	680
3,6	740
3,8	740
3,9	710
3,8	740
3,2	780
2,4	670
2,5	650
2,4	700
2,5	650
2,1	680
3,7	740
2,7	660
2,9	770
2,1	750
3,1	700
2,1	740
2,8	740
3,7	690
2,6	690
2,9	650
3,6	750
3,7	710
2,2	760

Answer 1