Problem 2. The following data is looking at how long it takes to get to work. Let x = commuting distance (miles) and y = commuting time (minutes) x 5 10 15 20 25 50 y 16 32 44 45 63 115 a) Give a scatterplot of this data and comment on the direction, form and strength of this relationship. b) Determine the least-squares estimate equation for this data set. c) Give the coefficient of determination, R2 , comment on what that means. d) Give the residual plot based on the least-squares estimate equation. e) Test if this least-squares estimate equation specify a useful relationship between commuting distance and commuting time. 1 f) Compare this least-square estimate equation to the previous least-squares estimate equation in problem 1. In which situation would the least-squares equation be least effective? Justify your answer