Question 3 (6 marks) A new hospital is going to be built in the region, and the planners want to consider the mean center of ten residential areas as a possible location. Using the provided coordinates and the data on population size at each location calculate: a) the mean center for the given locations b) the weighted mean center for the given locations using population size as weights Location x-coordinate y-coordinate Population A 3 10 200 B 2 2 300 C D 69 6 7 50 9 5 80 E 7 9 100 F 8 8 150 GH 7 7 300 4 9 20 9 10 40 J 3 6 110 Question 5 (10 marks) Create a spatial weights matrix (connectivity matrix) for the area shown below. Use binary weights, where weight 1 indicates neighbours and 0 indicates non-neighbours. Define neighbours using Queen's Case. A B D E F G H I J K L M