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 file 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. 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 1 600 530 3.13 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 1. Estimate a linear regression model with Writing as the response variable and GPA and Female as the predictor variables. Note: Round your answers to 2 decimal places. 2. Compute the predicted writing score for a male student with a GPA of 3.5. Repeat the computation for a female student. Note: Do not round intermediate calculations. Round final answers to the nearest whole number. 3. Estimate a linear regression model with Math as the response variable and GPA and female as the predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 4. Compute the predicted math score for a male and female student with a GPA of 3.5. Note: Do not round intermediate calculations. Round final answers to the nearest whole number.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 file 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.

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
600	530	3.13	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

1. Estimate a linear regression model with Writing as the response variable and GPA and Female as the predictor variables.

Note: Round your answers to 2 decimal places.

2. Compute the predicted writing score for a male student with a GPA of 3.5. Repeat the computation for a female student.

Note: Do not round intermediate calculations. Round final answers to the nearest whole number.

3. Estimate a linear regression model with Math as the response variable and GPA and female as the predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

4. Compute the predicted math score for a male and female student with a GPA of 3.5.

Note: Do not round intermediate calculations. Round final answers to the nearest whole number.

Expert Solution

Description

This question looks at the differences in SAT scores between male and female students. We will use data on Writing and Math scores, GPA, and a Female binary variable to estimate linear regression models to explore this difference. We will then use the models to predict Writing and Math scores for students with a GPA of 3.5.