Introduction to Linear Regression
Linear regression is a fundamental statistical method used to model the relationship between a dependent variable and one or more independent variables. It's widely used for making predictions and inferring trends.
In-Depth Analysis
While simple linear regression deals with a single predictor variable, multiple linear regression involves multiple predictors. This allows for more complex models that can capture a wider range of phenomena. 🐸
Mathematical Formulation
The general linear regression model is represented by the equation:
Y = β0 + β1X1 + β2X2 + ... + βnXn + ε
Where:
- Y - Dependent variable
- Xi - Independent variables
- βi - Coefficients
- ε - Error term
Applications and Case Studies
Explore various applications of linear regression in real-world scenarios. Some interesting case studies include predicting housing prices and analyzing marketing campaign effectiveness.
Explore Case Studies