105 Coefficient interpretation Log level model mathematical derivation
← 104 Property of the logarithmic function106 Coefficient interpretation Log level model little proof →
About this lesson
This video delves into the mathematical derivation of the log-level model in econometrics, moving beyond the common approximation. We explore how to calculate the exact percentage change in y when x increases by one unit, providing a more precise understanding of model interpretation. The explanation covers the population regression function and uses calculus to derive the relationship between changes in x and y. You will learn the exact formula and understand why the approximation of multiplying the coefficient by 100 works, especially for small coefficients. Visit AxiomTutoring.com for more resources and subscribe to @AxiomTutoringCourses for further econometrics insights.
Walkthrough
Follow the reasoning, step by step.
A Private Conversation
Study this with Ledia Pelivani, one to one.
These lessons are freely available. For tailored pacing, feedback and problem sets, arrange a complimentary consultation with our faculty.
Discuss a Bespoke Plan