In: Statistics and Probability
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.] picture
| GPA | GRE | 
| 3.3 | 760 | 
| 3.8 | 680 | 
| 3 | 670 | 
| 3.2 | 710 | 
| 3.8 | 780 | 
| 2.6 | 680 | 
| 2.5 | 760 | 
| 2.4 | 670 | 
| 2.8 | 640 | 
| 3.9 | 700 | 
| 3.8 | 680 | 
| 3.4 | 680 | 
| 2.8 | 760 | 
| 3.1 | 650 | 
| 3.4 | 670 | 
| 2.7 | 710 | 
| 3.7 | 730 | 
| 3.6 | 640 | 
| 2.7 | 670 | 
| 3.8 | 670 | 
| 2.5 | 750 | 
| 2.4 | 660 | 
| 3.5 | 690 | 
| 2.9 | 710 | 
a. Construct the 90% confidence interval for the expected GPA for an individual who scored 720 on the math portion of the GRE. (Round regression estimates to at least 4 decimal places, "tα/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 720 on the math portion of the GRE. (Round regression estimates to at least 4 decimal places, "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.)