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 wiriting sections of the exam. Also included are the student's GPA and a dummy that equals 1 for female and 0 for male. 577 2.70 2.44 2.44 3.03 594 517 3.08 2.88 3.49 2.68 3.14 632 638 581 578 614 557 628 3.33 597 3.07 2.33 2.38 599 3.50 572 533 2.40 601 6 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.) Math GPAFemale a-2. Compute the predicted score for a male and female student with a GPA of 3.5. (Round your intermediate coefficient values and final answers to 2 decimal places.) Math Male student Female student

Answer 1