In Exercise 12 we looked at United Nations data about a country's GDP and the average number of people per room (Crowdedness) in housing there. For a re-expression, a student tried the reciprocal —10000/GDP, representing the number of people per $10,000 of gross domestic product. Here are the results, plotted against Crowdedness:

a) Is this a useful re-expression? Explain.
b) What re-expression would you suggest this student try next?