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

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04004680 35 47 48 37 38 40 21 ( 2 33346537 443307943 3343 r) 255 8458 233 323 000 .7 9 042 80552 YNG (X) PCI (Y) YNG ) PCI (Y) YNG (X) PCI (Y) 34.0 36.0 38.2 43.0 44.0 44.0 45.0 48.0 40.0 317 270 208 150 105 128 85 41.0 42.0 45.0 36.0 42.6 33.0 33.0 47.0 47.0 188 166 132 290 160 300 320 85 75 39.0 39.0 37.0 37.0 46.0 45.6 42.0 38.8 225 232 260 250 92 110 180 235 210 LocationB Latin America 26 2170.67 Bi 12 ria 42.0 40.277 478.846 21.633 1391.756 0.983 Africa 26 897.519 17.39 40.892 186.462 20.244 188.919 0.985