Question
Estimate: GPA = β0 + β1GRE + ε, where GRE is a student’s score on the...
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 710 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 710 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.)
| GPA | GRE |
| 3.0 | 700 |
| 3.5 | 720 |
| 3.2 | 650 |
| 3.7 | 750 |
| 3.1 | 680 |
| 3.9 | 730 |
| 3.3 | 740 |
| 3.5 | 780 |
| 3.0 | 690 |
| 3.5 | 730 |
| 3.2 | 640 |
| 3.7 | 740 |
| 3.1 | 690 |
| 3.9 | 720 |
| 3.3 | 740 |
| 3.5 | 750 |
| 2.9 | 690 |
| 3.3 | 730 |
| 3.3 | 640 |
| 3.6 | 740 |
| 3.0 | 690 |
| 3.8 | 720 |
| 3.2 | 740 |
| 3.5 | 760 |
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