Consider the data on hours studied per week and final grades in EC 320 from a sample of four students: (2 points each) Student Hours Studied Final Grade Hinata 7 72% Michelle 10 97% Jerry 4 43% Jorge 6 84% (a) Suppose that you want to use the data to learn about the effect of studying on grades. Write down a simple linear regression model tailored to your objective. (b) Calculate the parameter estimates for the intercept (1) and slope (2) using the OLS formulas from class. (c) Interpret 1. What does this parameter estimate tell us? (d) Interpret 2. What does this parameter estimate tell us? (e) Calculate the coefficient of determination (R2) for the regression you estimated. What does it tell us about the relationship between studying and grades? (f) What is the predicted final grade for a student who studies 5 hours per week? (g) Based on the regression you estimated, how many hours would a student have to study to expect a score of 100%?