In order to study the effects of World War II on a certain country's economy, an economist used data from that country's census bureau to produce the following Lorenz curves for the distribution of income in 1935 and 1947. f(x) = x2.3 Lorenz curve for 1935 g(x) = x1.6 Lorenz curve for 1947 Find the Gini index of income concentration for each Lorenz curve and interpret the results. What is the Gini index for 1935? (Round to three decimal places as needed.)

In order to study the effects of World War II on a certain country's economy, an economist used data from that country's census bureau to produce the following Lorenz curves for the distribution of income in 1935 and 1947. f(x) = x2.3 Lorenz curve for 1935 g(x) = x1.6 Lorenz curve for 1947 Find the Gini index of income concentration for each Lorenz curve and interpret the results. What is the Gini index for 1935? (Round to three decimal places as needed.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

In order to study the effects of World War II on a certain country's economy, an economist used data from that country's census bureau to produce the following Lorenz curves for the distribution of income in 1935 and
1947.
f(x) = x2.3 Lorenz curve for 1935
g(x) = x1.6 Lorenz curve for 1947
Find the Gini index of income concentration for each Lorenz curve and interpret the results.
What is the Gini index for 1935?
(Round to three decimal places as needed.)

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