Part C - Adding Interactions In Model B the brick premium was defined to be " the average amount by which the price of a brick house exceeds the price of similar house made without brick . " Next , suppose it is conjectured that the brick premium varies by neighborhood . To account for this conjecture , we augment Model B with interaction terms as follows :" Price = a + 6. 5 9 FT + 6. Bedrooms + 6 ; Bathrooms + 6. Offers + 6 = BrickYes + 6. East + b, West + 6 , Brick Yes* East + 6 , Brick Yes* West Let us call this model Model C . 1 . Simplify the equation for Model C for the various segments as asked below . In this part , we are looking for algebraic answers , not numerical answers . For simplicity , let 5 = a + 6. 59 Ft + 6. Bedrooms + 6. Bathrooms + 6. Offers . a What is the price of a non-Brick house in the North ?" Do . What is the price of a Brick house in the North