Question 2 (20 points) For 12 recent clients, a weight-loss clinic has collected data (The data can be found in the "Problem 2" worksheet ) about: Y: weight loss since joining the program (in pounds}; X1: how long the client has been in the program (in months); X2: whether the sessions occurred during the day or during the evening; X3: the gender of the client. a) Clearly define the dummy variables and generate the estimated regression equation based on your definition . (4 point) b) For a man who participates in the weight clinic during the day, what weight loss would you expect for every additional month in the program ? (4 point) c) Test significance of the model. Please clearly indicate your hypothesis , rejection rule and conclusions . [4 point} d) Using the regression model developed above, predict the weight loss who has been in the program for 5 months, attending evening session and female. (4 point} e) Test significance of each variable. Please clearly indicate your hypothesis , rejection rule and conclusions . [4 point}