6. The following equation studies how the SAT score is affected by various facto
ID: 3058339 • Letter: 6
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6. The following equation studies how the SAT score is affected by various factors sat -1,028.1019.30hsize - 2.19hsize2 -45.09feale 169.81black (6.29) (3.83) + 62.31female - black (0.53)(4.29) (12.71) (18.15) n-4, 137, 2-0.0858 The variable sat is the combined SAT score, hsize is size of the student's high school graduation class, in hundreds, female is a gender dummy variable, and black is a race dummy variable equa . (1) Is there strong evidence that hsize2 should be included in the model? From this eq school size! (2) Holding hsize fixed, what is the estimated difference in SAT score between nonblack females and nonblack males? How statistically significant is this estimated difference! (3) What is the estimated difference in SAT score between nonblack males and black males? Test the null hypothesis that there is no difference between their scores, against the alternative that there is a difference. (4) What is the estimated difference in SAT score between black females and nonblack females? What would you need to do to test whether the difference is statistically significant? l to one for blacks, and zero otherwise uation, what is the optimal highExplanation / Answer
6. The following equation studies how the SAT score is affected by various factors sat -1,028.1019.30hsize - 2.19hsize2 -45.09feale 169.81black (6.29) (3.83) + 62.31female - black (0.53)(4.29) (12.71) (18.15) n-4, 137, 2-0.0858 The variable sat is the combined SAT score, hsize is size of the student's high school graduation class, in hundreds, female is a gender dummy variable, and black is a race dummy variable equa . (1) Is there strong evidence that hsize2 should be included in the model? From this eq school size! (2) Holding hsize fixed, what is the estimated difference in SAT score between nonblack females and nonblack males? How statistically significant is this estimated difference! (3) What is the estimated difference in SAT score between nonblack males and black males? Test the null hypothesis that there is no difference between their scores, against the alternative that there is a difference. (4) What is the estimated difference in SAT score between black females and nonblack females? What would you need to do to test whether the difference is statistically significant? l to one for blacks, and zero otherwise uation, what is the optimal high
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