Univariate Linear Regression

Overview

This project implements Univariate Linear Regression to predict revenue based on population size. The dataset consists of:

• Population size (in 10,000s)
• Revenue (in $10,000s)

A Linear Regression model is trained to predict revenue based on the given population size. The implementation is written in Python and includes visualization of the results.

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Visualizations

Linear Regression Model

The trained model fitting the dataset:

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Contour Plot

The contour plot visualizes how the cost function behaves for different values of model parameters. The global minimum represents the optimal values of (\theta_0) and (\theta_1):

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Cost Function

The cost function curve shows how the error decreases as training progresses:

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Installation & Setup

To run the project locally:

1. Clone the repository:

   git clone https://github.com/meghasv09/LinearRegression.git
   cd LinearRegression

2. Run the script:

   python linear_regression.py