Logistic Regression

Logistic regression is a fundamental technique for tackling binary classification problems, especially in domains like healthcare where decisions can have serious impacts. In this lesson, we’ll walk through building a logistic regression classifier from scratch to predict patient readmissions based on health and demographic data. Let’s get started.

Healthcare patient readmission prediction

A hospital is trying to predict which patients will likely be readmitted within 30 days after discharge. They have historical patient data including age, length of stay, number of previous admissions, and various health metrics. Can you show me how you would build a logistic regression classifier from scratch to help identify high-risk patients?

Features (X):

• Age (normalized)

• Length of stay (days)

• Number of previous admissions

• Blood pressure reading

• Blood sugar level

Target (y):

• 0: Not readmitted within 30 days

• 1: ...