Q2 (8 points) The following bar chart shows the average SAT math scores by parental income groups, using data from the US: Math Scores 700 600 579 554 538 550 528 542 497 512 500 475 457 400 test score 300 200 100 0 $200,000 family income Source: College Board Write a multiple regression model such that the coefficients on the x-variables allow us to make inference on the difference in mean SAT scores for students with parents in the highest income group and students with parents in other income groups? Clearly define all the variables in your regression, including the y-variable. Next, also write down what the estimated equation with. Answer with two equations - model and estimated equation - and clear definitions for all the variables in your regression model. Q2 (8 points) The following bar chart shows the average SAT math scores by parental income groups, using data from the US: Math Scores 700 600 579 554 538 550 528 542 497 512 500 475 457 400 test score 300 200 100 0 $200,000 family income Source: College Board Write a multiple regression model such that the coefficients on the x-variables allow us to make inference on the difference in mean SAT scores for students with parents in the highest income group and students with parents in other income groups? Clearly define all the variables in your regression, including the y-variable. Next, also write down what the estimated equation with. Answer with two equations - model and estimated equation - and clear definitions for all the variables in your regression model