Question
Writing Math GPA Female 620 600 3.44 0 570 550 3.04 0 540 540 2.67 0 580 610 3.29 0 590 590 3.36 0 550
| Writing | Math | GPA | Female |
| 620 | 600 | 3.44 | 0 |
| 570 | 550 | 3.04 | 0 |
| 540 | 540 | 2.67 | 0 |
| 580 | 610 | 3.29 | 0 |
| 590 | 590 | 3.36 | 0 |
| 550 | 520 | 2.88 | 1 |
| 580 | 610 | 3.2 | 0 |
| 480 | 510 | 2.3 | 0 |
| 590 | 570 | 3.17 | 1 |
| 620 | 660 | 3.71 | 0 |
| 530 | 520 | 2.38 | 0 |
| 610 | 600 | 3.25 | 1 |
| 610 | 540 | 3.18 | 1 |
| 640 | 580 | 3.51 | 1 |
| 540 | 570 | 2.82 | 1 |
| 540 | 500 | 2.38 | 0 |
| 560 | 620 | 3.39 | 0 |
| 550 | 540 | 2.73 | 0 |
| 540 | 590 | 3.03 | 0 |
| 540 | 520 | 2.84 | 0 |
The SAT has gone through many revisions over the years. People argue that female students generally do worse on math tests but better on writing tests. The accompanying data flle shows a student's score on the writing and math sections of the SAT
(
Writing and Math, respectively
)
,
the student's GPA, and a Female dummy variable that equals
1
if the student is female,
0
otherwise.
Estimate a linear regression model with writing as the response variable and GPA and female as the predictor variables.
Writing
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GPA
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Female
Compute the predicted writing score for a male student with a GPA of
3
.
5
.
Repeat the computation for a female student.
Writing
Male Student
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Female Student
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Estimate a linear regression model with math as the response variable and GPA and female as the predictor variables.
Math
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+
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GPA
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Female
Compute the predicted math score for a male and female student with a GPA of
3
.
5
.
Math
Male Student
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Female Student
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Finite Mathematics and Its Applications
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
12th edition
978-0134768588, 9780134437767, 134768582, 134437764, 978-0134768632
