1. A chain of resorts in northern Ontario rents a total of 1000 rooms. The CEO of the chain suspects that the number of rooms booked on a summer weekend is related to the cost of gasoline. The line of best fit for the number of rooms rented, y, in hundreds, versus the cost of gasoline, x, in dollars per litre, appears to follow the equation y = - 11.86x + 24.1. a) The CEO's research shows 780 bookings when gas prices were $1.35/L. What is the residual for this single data point? Interpret the residual - is the line of best fit an overestimate or underestimate? (3 marks) b) Describe what the slope represents in context. Be specific. (2 marks) 2. During early explorations in Africa, explorers who camped near certain trees often came down with malaria. The trees were named fever trees and were usually found on the edges of swampy areas. The table shows the number of nights spent near fever trees and percent of explorers who developed malaria. Perform a linear regression (find the equation of the line of best fit and the r-value). (7 marks) Nights Explorers with malaria (%) 2 6 5 12 7 19 8 20 11 23