The average monthly residential gas bill for Black Hills Energy customers in Cheyenne, Wyoming is $67.95 (Wyoming Public Service Commission website). How is the average monthly gas bill for a Cheyenne residence related to the square footage, number of rooms, and age of the residence? The following data show the average monthly gas bill for last year, square footage, number of rooms, and age for 20 typical Cheyenne residences. DATA a. Develig an estimated fegression ec to four decimais: y Age b. Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age, sauare footage, and number of rooms, Round vour answers to four decitnals. Enter neoative value as neoative number, a. Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age. Round your answe to four decimals. y^=Age b. Develop an estimated regression equation that can be used to predict a residence's average monthly gas bili for last year given its age, square footage, an number of rooms. Round your answers to four decimals. Enter negative value as negative number. y^=Age+SquareFootage+NumberofRooms c. At the 0.05 level of significance, test whether the two independent variables added in part (b), the square footage and the number of rooms, contribute significantly to the estimated regression equation developed in part (a). If not stated otherwise, round your answers to four decimals. Use Table 4 from Appendix B. SSE(reduced)=SSE(full)=MSE(full)=F=(to2decimals) The p-value associated with F is Therefore, the addition of the two independent variables significant