The SAT has gone through many revisions over the years. In 2005, a new writing s
ID: 3061318 • Letter: T
Question
The SAT has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (The Washington Post, August 30, 2006). Consider the following data on 20 students who took the SAT test last year. Information includes each student’s score on the math and writing sections of the exam. Also included are the student’s GPA and a dummy that equals 1 for female and 0 for male.
Writing
Math
GPA
Female
617
604
2.49
1
601
577
3.17
0
564
602
2.58
0
566
622
2.80
0
637
559
3.15
0
523
610
2.65
1
535
564
3.14
0
555
528
2.98
0
517
574
3.14
0
595
660
3.43
0
496
554
2.98
1
634
614
2.82
1
533
622
2.89
0
535
622
3.39
1
593
524
3.25
1
503
587
3.26
0
515
580
3.36
0
623
579
3.46
0
566
573
2.44
0
515
512
2.47
0
Click here for the Excel Data File
a-1.
Estimate a linear regression model with math score as the response variable and GPA and the female dummy variable as the explanatory variables. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
= + GPA + Female.
a-2.
Compute the predicted score for a male and female student with a GPA of 3.2. (Round your intermediate coefficient values and final answers to 2 decimal places.)
Male student
Female student
The SAT has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (The Washington Post, August 30, 2006). Consider the following data on 20 students who took the SAT test last year. Information includes each student’s score on the math and writing sections of the exam. Also included are the student’s GPA and a dummy that equals 1 for female and 0 for male.
Explanation / Answer
a-1)
Math_Score=545.76+11.79*GPA+7.695*Female
a-2)
Math_Score(Male)=545.76+11.79*3.2+7.695*0
=583.488
Math_Score(Female)=545.76+11.79*3.2+7.695*1
=591.183
SUMMARY OUTPUT Regression Statistics Multiple R 0.134089381 R Square 0.017979962 Adjusted R Square -0.097551807 Standard Error 39.17301022 Observations 20 ANOVA df SS MS F Significance F Regression 2 477.6296005 238.8148002 0.15562786 0.857083178 Residual 17 26086.9204 1534.524729 Total 19 26564.55 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 545.7624825 82.22636037 6.637317765 4.1975E-06 372.2800264 719.2449385 GPA 11.78909973 27.01206099 0.436438365 0.668011042 -45.20136734 68.77956679 Female 7.695455333 19.26602625 0.399431374 0.694548842 -32.95230697 48.34321763Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.