Investigating the Relationship Between GDP per Capita and CO2 Emissions per Capita

This investigation explores the extent of the relationship between a nation's GDP per capita and its CO2 emissions per capita, testing the hypothesis of a positive correlation.

Utilizing secondary data from 50 countries, the study employs a comprehensive statistical suite, including Spearman’s and Pearson’s correlation coefficients, Chi-squared tests for independence, and linear and cubic regression models. Advanced calculus is applied to the cubic model to analyze instantaneous rates of change and inflection points.

Results indicate a strong positive relationship, with the cubic model providing a superior fit that aligns with the Environmental Kuznets Curve. This exemplar is notable for its rigorous error analysis and the sophisticated integration of mathematical modeling with economic theory.