Problem 1 The owner of a second-hand car dealership wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Age (years) 9 7 11 12 8 7 8 11 10 12 6 6 Price (thousand $) 8.1 6 3.6 4 5 10 7.6 8 8 6 8.6 8 a. Draw a scatter diagram and comment the relation between the age of the car and its selling price. b. Determine the Pearson correlation coefficient and the coefficient of determination and interpret it. Problem 2 At a business case competition, two judges were tasked with scoring (out of 1000) the case reports submitted by 12 teams. Using the following data, we would like to examine the association between the scores of the two judges. Judge 1 650 760 740 700 590 620 700 690 900 500 610 700 Judge 2 900 720 690 850 920 800 890 920 1000 690 700 760 a. Compute the Spearman rank correlation between the scores of the two judges. b. Comment on the association between the scores of the two judges