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Linear Regression – Machine Learning Notes Introduction to Linear Regression Linear Regression Algorithm Explained Machine Learning: Linear Regression Model Linear Regression Theory and Implementation Linear Regression Complete Study Notes

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This document provides complete notes on Linear Regression in Machine Learning. It covers the basic concepts, mathematical foundations, model building, hypothesis function, cost function, gradient descent, training process, evaluation methods, and practical applications of linear regression algorithms. Useful for students preparing for Machine Learning courses, exams, and assignments.

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Lecture 1
Linear Model Classification: Logistic Regression
⭐ Introduction
Logistic Regression is a supervised machine learning
algorithm used for classification problems. It predicts
the probability that a given input belongs to a specific
class (0 or 1).
It is widely used in real-world applications like:
 Spam detection
 Medical diagnosis
 Credit approval


📌 What is Logistic Regression?

✔ Definition:
Logistic Regression is a classification algorithm that
estimates the probability of categorical outcomes using
a mathematical function called the sigmoid function.

, ✔ Core Idea:
 Takes input features
 Applies a linear equation
 Converts result into probability (0 to 1)

✔ Decision Rule:
 If probability ≥ 0.5 → Class 1
 If probability < 0.5 → Class 0


⭐ Key Points of Logistic Regression
1. Categorical Output
 Output is discrete, not continuous
 Example: Yes/No, True/False, 0/1
2. Probabilistic Output
 Gives values between 0 and 1
 Shows likelihood of class membership
3. S-Shaped Curve
 Uses sigmoid function
 Produces an S-shaped curve
 Helps in classification

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