13. Assume we want to model a larger variety of LEGO set Types including Star Wars, Minecraft, City, Friends, Disney, Marvel and Creator. Furthermore they want to check for differences in the original price based on the gender marketed for the LEGO set. (a) Keep Star Wars as the baselevel and write out the indicator variables needed to model all 7 LEGO set types listed above. (b) Additional we want to determine if LEGO sets are marketed for girls have a different price than LEGO sets marketed for boys even after accounting for the number of LEGO pieces and the type of LEGO set. Assume another categorical variable of Marketing with levels (Boy, Girl, Neutral). Define Neutral as the baselevel for Marketing. Write all required indicator variables needed to model gender. (c) Write out the population model for the original price of LEGO sets that assumes the following: . A linear relationship between Original Price and Pieces. . Accounts for a linear relationship between number of LEGO Figures and Original Price. . Accounts for the categorical variable of LEGO set Type defined in part (14a). . Accounts for the categorical variable of Marketing defined in part (14b). Be sure your model accounts for all 7 Types as listed in part (14a) and the 3 levels of Marketing as listed