Meaning of Linear Regression

Simple definition

Linear regression is a statistical method for modeling the relationship between a dependent variable and one or more independent variables by fitting a straight line.

How to use Linear Regression in a professional context

It is widely used in finance, marketing, and healthcare for tasks such as predicting stock prices, evaluating ad effectiveness, or modeling patient outcomes based on health indicators.

Concrete example of Linear Regression

A retail store uses linear regression to predict sales based on advertising spend, finding that sales increase by $10 for every additional $1 spent on ads.

Q1: What assumptions does linear regression make?

A1: Assumptions include linearity, independence, homoscedasticity (constant variance), and normal distribution of residuals.

Q2: What is the difference between simple and multiple linear regression?

A2: Simple regression involves one independent variable, while multiple regression uses two or more.

Q3: How is the best-fit line determined?

A3: The line minimizes the sum of squared differences between actual and predicted values (least squares method).
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