1. Suppose that an equation for infant mortality is described by the function: - VD (P)™. where i is the infant mortality rate (expressed in per 1,000 children), Y is the gross domestic product (in US dollars), P is the population, and 3 and b are constants. a. Derive a linear (in parameters) equation from the function above with In i as the left Y -hand side variable and In y on the right-hand side. Note that y = which is the P' GDP per capita. b. Identify the slope and intercept in the derived equation in (a). What could be the relationship between i and y? Provide an economic explanation. c. Derive a formula of the slope parameter in the linear equation in (a) for the interpretation of the changes in the variables. Interpret the resulting equation.

1. Suppose that an equation for infant mortality is described by the function: - VD (P)™. where i is the infant mortality rate (expressed in per 1,000 children), Y is the gross domestic product (in US dollars), P is the population, and 3 and b are constants. a. Derive a linear (in parameters) equation from the function above with In i as the left Y -hand side variable and In y on the right-hand side. Note that y = which is the P' GDP per capita. b. Identify the slope and intercept in the derived equation in (a). What could be the relationship between i and y? Provide an economic explanation. c. Derive a formula of the slope parameter in the linear equation in (a) for the interpretation of the changes in the variables. Interpret the resulting equation.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.13P

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