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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
Time Series Data
Observations over time.
Example: GDP of a country measured over several years.
Cross-Sectional Data
Observations across subjects at a specific time.
Example: Annual GDP of various countries in a specific year.
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.
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