Sorry the question is a bit lengthy can someone please help!

result below was obtained by OLS for the model sat =0+1h size +2 hsize 2+3 female +4 black +5( female.black) +. are 4,137 students in the dataset. If the output is not visible on your screen, please click on these links for a copy: link1, link2. Two links were provided in case one of them does not work. The variables are defined as below. sat is the SAT (Scholastic Aptitude Test) score of the student hsize is the size of the student's high school graduating class in hundreds hsize2 is the squared of hsize, that is hsize 2 female is a gender dummy variable equal to one if the student is female, and zero otherwise black is a race dummy variable equal to one if the student is black, and zero otherwise female_black is an interactive term between female and black. It equals one if the student is female and black, and zero otherwise. There are seven parts to this question as listed below. Please write the part number in your answers. i. Rewrite the model below with the estimated intercept and coefficients from the STATA output. sat=0+1hsize+2hsize2+3female+4black+5(femaleblack)+u ii. Is there strong evidence that hsize2 should be included in the model? Explain. iii. From the equation in part (i), what is the optimal size for a high school graduating class? iv. Holding hsize fixed, what is the estimated difference in SAT scores between nonblack females and nonblack males? How statistically significant is the estimated difference? v. What is the estimated difference in SAT scores between nonblack males and black males, holding h size fixed? Is the difference statistically significant? vi. The result for the White test is shown below. Is there enough evidence to conclude that the related equation suffers from a problem of heteroscedasticity? Explain. If the output below is not visible on your screen, please click on these links for a copy: linkA, linkB. Two links were provided in case one of them does not work. . estat imtest, white White's test HO: Homoskedasticity Ha: Unrestricted heteroskedasticity Chi2 (13)=39.09 Prob > chi2 =0.0002 Cameron \& Trivedi's decomposition of IM-test vii. What are the potential consequences of heteroskedasticity for OLS? result below was obtained by OLS for the model sat =0+1h size +2 hsize 2+3 female +4 black +5( female.black) +. are 4,137 students in the dataset. If the output is not visible on your screen, please click on these links for a copy: link1, link2. Two links were provided in case one of them does not work. The variables are defined as below. sat is the SAT (Scholastic Aptitude Test) score of the student hsize is the size of the student's high school graduating class in hundreds hsize2 is the squared of hsize, that is hsize 2 female is a gender dummy variable equal to one if the student is female, and zero otherwise black is a race dummy variable equal to one if the student is black, and zero otherwise female_black is an interactive term between female and black. It equals one if the student is female and black, and zero otherwise. There are seven parts to this question as listed below. Please write the part number in your answers. i. Rewrite the model below with the estimated intercept and coefficients from the STATA output. sat=0+1hsize+2hsize2+3female+4black+5(femaleblack)+u ii. Is there strong evidence that hsize2 should be included in the model? Explain. iii. From the equation in part (i), what is the optimal size for a high school graduating class? iv. Holding hsize fixed, what is the estimated difference in SAT scores between nonblack females and nonblack males? How statistically significant is the estimated difference? v. What is the estimated difference in SAT scores between nonblack males and black males, holding h size fixed? Is the difference statistically significant? vi. The result for the White test is shown below. Is there enough evidence to conclude that the related equation suffers from a problem of heteroscedasticity? Explain. If the output below is not visible on your screen, please click on these links for a copy: linkA, linkB. Two links were provided in case one of them does not work. . estat imtest, white White's test HO: Homoskedasticity Ha: Unrestricted heteroskedasticity Chi2 (13)=39.09 Prob > chi2 =0.0002 Cameron \& Trivedi's decomposition of IM-test vii. What are the potential consequences of heteroskedasticity for OLS