You wish to estimate as precisely as possible the slope in a straight line regression model y = + x + e: each pair of observations (x; y) costs $ 1: 00 and your budget is $ 4: 00. a data analyst proposes that you consider one of the following two options: (a) make two y-observations at x = 1 and a further two at x = 4; (b) make one y-observation at each of the points x = 1; 2; 3 and 4. which of the two options would give you the most bang for your bucks? show a relevant calculation to justify your choice.