bivariate normal distribution, squared statistical distance, chi-square plot

5. A newspaper lists the following used-car prices for a foreign compact with age 3:1 measured in years and selling price 2 measured in thousands of dollars: 3:1 1 1 3 3 4 5 5 7 10 13 3:2 17.95 19 17.85 16.5 14.1 12.95 12.1 9.95 4.5 2.99 (a) Please use the data to calculate the squared statistical distances (2v.- :E)TS'1(:UZ- at), z": 1,. . . ,11, where x$=[a:1i,a:2i]. (b) Using the distances in (a), nd the proportion of the observations falling within the estimated 50% probability contour of a bivariate normal distribution. (c) Order the distances in (a) and construct a chi-square plot. (d) According to (a) and (b), are these data approximately bivariate normal? Please explain