Problem 10.42 Table 10.13 in Section 10.9 lists the number of vehicles per 10,000 popu[1]lation (VPP), the number of deaths per 10,000 vehicles (DPV), and the number of deaths per 10,000 population for twelve countries for the year 1987. In this problem we apply the techniques of correlation analysis to explore the relationships between these variables.

(a) Draw the scatter plot of (X1, X2). In this context, would you expect a positive, zero, or negative correlation? Justify your answer.

(b) Compute the sample correlation coefficient r between X1 and X2, and discuss its use[1]fulness in explaining the relationship between X1 and X2.

(c) Draw the scatter plot of (X1, X3). In this context would you expect a positive, zero, or negative correlation? Justify your answer.

(d) Compute the correlation coefficient r between X1 and X3, and discuss its usefulness in explaining the relationship between X1 and X3.