Logistic Regression
1. What is Logistic Regression?
Imagine we’re a gatekeeper at a club. We have a list of rules that help us decide whether to let a person in or not. These rules are based on things like:
- Their age
- Whether they’re dressed formally
- Whether they have a membership card
We don’t need to assign a score like in a school exam — we just need to answer:
Yes, let them in
No, don’t let them in
This is a binary decision: Yes or No, 1 or 0, True or False.
Now, over time, we’ve observed thousands of people and whether they were allowed in or not. We learn patterns:
- Most people above 21 with a membership card are let in
- Most people below 18 are no
- Some edge cases exist, but you spot a curve in the pattern
Logistic Regression is like we are learning from all that data, and coming up with a smart rule — a formula — to predict: “Given this new person’s details, should I let them in?”
Unlike Linear Regression (which predicts numbers), Logistic Regression predicts probabilities that something belongs to Class A (0) or Class B (1).
2. Real-World Use Cases
#1: Email Spam Detection
We receive emails every day. Some are spam, some are not.
Let’s say we want to train a computer to detect spam emails.
We’ll look at features like:
- Does it contain the word “win”?
- Is there a suspicious link?
- Is the sender known?
- Does it have attachments?
Logistic Regression takes these inputs and learns from thousands of example emails. It then learns to predict:
“What’s the probability this email is spam?”
If the probability is above a threshold (say 0.8 or 80%), it marks it as spam.
#2: Health Risk Prediction
A doctor wants to predict whether a patient has diabetes based on:
- Age
- Body Mass Index (BMI)
- Blood pressure
- Family history
The doctor can access past data: patients with these traits and whether they developed diabetes (Yes = 1, No = 0).
Logistic Regression helps by modeling the probability:
“How likely is this patient to have diabetes?”
If it’s a high probability (say 95%), then the doctor can plan early intervention.
Logistic Regression – Logistic Regression example with Simple Python