Basics of Econometrics and Regression Analysis

Aug 19, 2024

Introduction to Econometrics

Overview

  • What is Econometrics?
    • Application of statistical methods in economics.
    • Often involves regression analysis.

Key Concepts

  • Regression Analysis:
    • Relationship between independent variables and a dependent variable.
    • Example:
      • Dependent variable Y affected by independent variables X1, X2, ..., Xn.
    • Important for understanding how changes in independent variables impact Y.
  • Importance of Econometrics:
    • Estimating relationships between economic variables.
    • Testing economic theories and hypotheses.
    • Forecasting economic variables.
    • Evaluating government/business policy.

Types of Economic Data

  1. Time Series Data
    • Observations over time.
    • Example: GDP of a country measured over several years.
  2. Cross-Sectional Data
    • Observations across subjects at a specific time.
    • Example: Annual GDP of various countries in a specific year.
  3. Panel Data
    • Observations over time and across individuals.
    • Example: Annual GDP of a set of countries over multiple years.

Simple Linear Regression

  • Definition:
    • Analyzing the relationship between one dependent variable and one independent variable.
  • Multiple Linear Regression:
    • Involves two or more independent variables.
  • Basic Function:
    • Standard form:
      • Y = mx + b
        • Y = dependent variable
        • m = slope
        • x = independent variable
        • b = y-intercept
  • Regression Equation with Error Term:
    • Y = β0 + mX + U
      • β0 = intercept
      • m = slope
      • U = error term (distance between the line and individual data points)

Understanding Causality

  • Economists often seek to determine how changes in X affect Y while holding other variables constant.
  • In simple linear regression, we assume X is the only variable affecting Y.

Next Steps

  • Upcoming videos will cover interpretation of regression coefficients and intercepts.