g) Include region dummy variables as predictors in the model that you estimated in question 3. Interpret the est'mated coefcients and conduct an Ftest to determine if the estimated coefcients on the region dummies are jointly signicant 5. Non linear functional forms : a) Estimate a quadratic regression model where the outcome of interest is cigarette consumption and the predictor variable is the price of a pack of cigarettes h) Estimate the effect of an increase in the price of a pack of cigarettes from S4 to $5. c) Provide a scatterplot that includes the estimated regression equation for the quadratic model. d] Estimate a linear log regression model where the outcome of interest is cigarette consumption and the predictor is the price of a pack of cigarettes e) Estimate the effect of an increase in the price of a pack of cigarettes from S4 to $5. f) Provide a scatterplot that includes the estimated regression equation for the linear -1og model . g) Which model provides a better fit to the data ? The quadratic or linear -log model ? Which model do you think is more appropriate from a theoretical perspective