Latin American Countries Problems 285 YNG (X) PCI (Y) YNG (X) PCI (Y) YNG (X) PCI...

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Latin American Countries Problems 285 YNG (X) PCI (Y) YNG (X) PCI (Y) YNG (X) PCI (Y) 32.2 788 44.0 292 35.0 685 47.0 202 44.0 321 47.4 220 34.0 825 43.0 300 48.0 195 36.0 675 43.0 323 37.0 605 38.7 590 40.0 484 38.4 530 40.9 408 37.0 625 40.6 480 45.0 324 39.0 525 35.8 690 45.4 235 44.6 340 36.0 685 42.2 338 33.0 765 African Countries YNG (X) PCI (Y) YNG (X) PCI (Y) YNG (X) PCI (Y) 34.0 317 41.0 188 39.0 225 36.0 270 42.0 166 39.0 232 38.2 208 45.0 132 37.0 260 43.0 150 36.0 290 37.0 250 44.0 105 42.6 160 46.0 92 44.0 128 33.0 300 45.6 110 45.0 85 33.0 320 42.0 180 48.0 75 47.0 85 38.8 235 40.0 210 47.0 75 Location 11 Bo B Summary of Separate Straight-Line Fits X Y S Sxx Latin America 26 2170.67 -42.0 40.277 478.846 Africa 26 897.519 -17.39 40.892 186.462 21.633 20.244 1391.756 -0.983 188.919 -0.985 1. (5.5 points) Problem 2 (page 285): Use the "Summary of Separate Straight-Line Fits table to answer the following questions. Use = 0.05 for hypotheses tests. (a) (One point) Determine the fitted least-squares line of regression of PCI (Y) on YNG (X) separately for Latin America and Africa being sampled. (b) (One point) Test Ho: "The slopes of the straight lines are the same for the populations of Latin America and Africa" versus HA: The slopes of the straight lines are different". Interpret your decision. (c) (One point) Test Ho: "The intercepts of the straight lines are the same for the populations of Latin America and Africa" versus HA: "The intercepts of the straight lines are different". Interpret your decision. (d) (One point) Test Ho: "The straight lines coincide for the populations of Latin America and Africa" versus HA: "The straight lines do not coincide". Interpret your decision. (e) (1.5 point) Does the procedure that was used in part (d) precisely test for coincide? Why? Latin American Countries Problems 285 YNG (X) PCI (Y) YNG (X) PCI (Y) YNG (X) PCI (Y) 32.2 788 44.0 292 35.0 685 47.0 202 44.0 321 47.4 220 34.0 825 43.0 300 48.0 195 36.0 675 43.0 323 37.0 605 38.7 590 40.0 484 38.4 530 40.9 408 37.0 625 40.6 480 45.0 324 39.0 525 35.8 690 45.4 235 44.6 340 36.0 685 42.2 338 33.0 765 African Countries YNG (X) PCI (Y) YNG (X) PCI (Y) YNG (X) PCI (Y) 34.0 317 41.0 188 39.0 225 36.0 270 42.0 166 39.0 232 38.2 208 45.0 132 37.0 260 43.0 150 36.0 290 37.0 250 44.0 105 42.6 160 46.0 92 44.0 128 33.0 300 45.6 110 45.0 85 33.0 320 42.0 180 48.0 75 47.0 85 38.8 235 40.0 210 47.0 75 Location 11 Bo B Summary of Separate Straight-Line Fits X Y S Sxx Latin America 26 2170.67 -42.0 40.277 478.846 Africa 26 897.519 -17.39 40.892 186.462 21.633 20.244 1391.756 -0.983 188.919 -0.985 1. (5.5 points) Problem 2 (page 285): Use the "Summary of Separate Straight-Line Fits table to answer the following questions. Use = 0.05 for hypotheses tests. (a) (One point) Determine the fitted least-squares line of regression of PCI (Y) on YNG (X) separately for Latin America and Africa being sampled. (b) (One point) Test Ho: "The slopes of the straight lines are the same for the populations of Latin America and Africa" versus HA: The slopes of the straight lines are different". Interpret your decision. (c) (One point) Test Ho: "The intercepts of the straight lines are the same for the populations of Latin America and Africa" versus HA: "The intercepts of the straight lines are different". Interpret your decision. (d) (One point) Test Ho: "The straight lines coincide for the populations of Latin America and Africa" versus HA: "The straight lines do not coincide". Interpret your decision. (e) (1.5 point) Does the procedure that was used in part (d) precisely test for coincide? Why?