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Advanced Multi-Output Regression | California Housing Dataset

Project Overview

This project demonstrates advanced multi-output regression on the California Housing Dataset.
It predicts:

  1. Median House Value
  2. Value per Median Income (engineered secondary target)

The project is implemented from scratch using *gradient descent, **polynomial & interaction features, and *feature scaling.


Key Features

  • Multi-output regression predicting two targets simultaneously
  • Gradient descent implemented from scratch
  • Polynomial and interaction features to capture non-linear relationships
  • Feature scaling for faster convergence
  • Cost convergence and Actual vs Predicted plots
  • Feature importance analysis

Skills Demonstrated

  • Multiple Linear Regression
  • Gradient Descent Optimization
  • Feature Engineering
  • Polynomial Regression
  • Multi-output Regression
  • Data Visualization
  • Model Interpretability

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