b) Consider a regression study involving a dependent variable Y, a quantitative independent variable X1, and a qualitative independent variable with three categories (Category A, category B, and Category C) Prepared by: Lecture of Centre of Statistical & Decision Science, FSKM CONFIDENTIAL CONFIDENTIAL 5 CS/MAY 2022/QMT533 i) Write the multiple regression model relating X, and the qualitative variable to dependent variable (Y). ii) Based on your model in (i), answer the following question: a. What is the expected (mean) value of Y corresponding to Category A? b. What is the expected (mean) value of Y corresponding to Category B? C. What is the expected (mean) value of Y corresponding to Category C? d. State the differential intercept coefficient of Category B? (8 marks)