This is an Ap Stats free response question

Version B Name:_ Rohave Hour: Part 2: Free Response per 100 he Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 11. What is the relationship between per capita income in a country and child mortality? Below is computer output for three different regression models examining this relationship for countries in Central and South America. Child mortality is measured in deaths before age 5 per 1000 children born, and income is measured in U.S. dollars per person. All logarithms are base 10 I. child mortality versus income Predictor 34. 149 SE Coet Constant 3. 397 10.05 0.000 Income per capita -0. 0027295 0. 0007530 -3. 62 0.002 Realdus S - 8. 35744 R-Sq = 43. 68 R-Sq(adj) - 40.3 2000 4000 6000 8000 10.000 Income II. log(child mortality) versus income Predicto SE Coef 2- Constant 1. 53434 0 . 05580 27 .50 0.000 0.1- Income per capita -0. 00005198 0.00001237 - 4. 20 0.001 Residua of ore data S - 0. 137280 R-Sq - 51.08 R-Sq (adj) - 48.10 -0.1- 0.2 - 2000 4000 6000 8000 10,000 III. log(child mortality) versus log(income) Income Predictor Coef SE Coef 1.3 P Constant 2. 9649 0. 3299 8 . 99 0.000 0.2 Log Income -0. 46824 0.09476 -4. 94 0.000 0.1- S = 0. 125578 R-Sq = 59.08 R-Sq (adj ) = 56.58 0.1- -0.2 - -03 3.0 3.2 34 3.6 38 4.0 log(income) (a) Explain why the information provided suggests that a linear model may not be appropriate for describing the relationship between child mortality and income in these countries. (b) Which model does the best job at summarizing the relationship between income and child mortality? Explain your reasoning. (c) Give the equation of the model you chose in part (b), using the transformed variable(s). (d) Use the model you chose in part (b) to predict the child mortality rate in a country with an income of $1300 per person