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.)