Question 1 (12 points) Suppose you wish to conduct a study to determine whether smaller class sizes improve performance on exams of primary school year four students. a. Write an econometric model to estimate the relationship, and define your variables. (3 points) b. What data will be needed to estimate the model, and how would you collect the data? (3 points) c. What is your expectation of the relationship between class size and performance? Explain. (3 points) d. Suppose you also want to include gender as a possible determinant of exam performance. Modify your model to incorporate this determinant. Clearly define any new variable(s) in this modified model. (3 points)