A topic of major concern to demographers and economists is the effect of a high fertility rate on per capita income. The first two accompanying tables display values of per capita income (PCI) and population percentage under age 15 (YNG) for a hypothetical sample of developing countries in Latin America and Africa, respectively. The third table summarizes the results of straight-line regressions of PCI (Y) on YNG(X) for each group of countries.
a.-d. Repeat parts (a) through (d) of Problem 1 for the straight-line regressions of PCI (Y) on YNG (X) for Latin American and African countries.
e. Test H0: "The population correlation coefficients are equal for the two groups of countries under study." Use α = .05. Does your conclusion here clash with your findings regarding the equality of slopes?
For each of the preceding tests, assume that the alternative hypothesis is two-sided.
Latin American Countries

African Countries

Summary of Separate Straight-Line Fits