Please help? What are the answers to part a-1 & a-2? The SAT has gone through ma
ID: 3055387 • Letter: P
Question
Please help? What are the answers to part a-1 & a-2?
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 481 488 607 505 589 628 520 509 560 492 503 486 485 545 637 558 540 498 562 554 2.40 3.22 3.33 3.30 2.77 3.28 3.02 521 599 604 530 568 578 600 626 549 638 633 562 529 515 620 513 645 524 637 2.37 2.86 3.01 2.77 3.08 3.24 3.02 2.95 3.45 2.42 2.86 2.70 er he ata 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- GPA + Female a-2. Compute the predicted score for a male and female student with a GPA of 3.3. (Round your intermediate coefficient values and final answers to 2 decimal places.) Math Male student Female student b-1. Select the null and the alternative hypotheses to test if there is a gender difference in writing scores b-2. Can we conclude that there is a statistically significant gender difference in math scores at the 5% level? O Yes, since we reject HO O Yes, since we do not reject HO O No, since we reject H0 O No, since we do not reject H0Explanation / Answer
a-1) The regression equation is
Math = 728 - 55.9 GPA + 19.2 Female
a-2) If male and female student with GPA = 3.3 then predict
Male Student:
Math = 728 - 55.9 GPA + 19.2 Female
= 728 - 55.9(3.3) + 19.2 (0) = 543.53
Female Student:
Math = 728 - 55.9 GPA + 19.2 Female
= 728 - 55.9(3.3) + 19.2 (1) =562.73
b-2) Correct answer: option (A)
b-2) p-value = 0.413 > alpha 0.05,
Correct answer: Option (D) No, since we do not reject H0