8. Is the multiple regression model proposed in part (4) useful in modeling the Original Price of LEGO sets? Show a full hypothesis test to justify your answer. 9. Is there signicant evidence to suggest City LEGO sets cost less than and Star Wars LEGO sets after account ing for the number of pieces? Show a full hypothesis test to justify your answer. 10. We are 95% condent that the average Original Price of a Friends LEGO set cost on average between and more than Original Price of a Star Wars LEGO set after ac counting for the number of LEGO pieces. Show your calculations below: 11. percent of the variability in the price of LEGO sets is explained by the model with ex planatoryyr variables of number of pieces and type of LEGO sets. 12. Based on this example: percent of the actual original prices of these LEGO nod-n \"411 kg. mH-Lhn mC +l-m