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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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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