Regression
ICSE · Class 11 · Artificial Intelligence
Quick revision notes for Regression — ICSE Class 11 Artificial Intelligence. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Core Idea of Regression
- Regression analysis helps analyze and understand the relationship between two or more variables of interest.
- It was developed by Sir Francis Galton in 1877 to measure the relationship of height between parents and their children.
- Regression is used to predict continuous variables such as market trends, house prices, and weather.
2. Types of Regression
- Simple Linear Regression models the relationship between a single independent variable and a dependent variable using a linear equation.
- Multiple Linear Regression extends simple linear regression to include multiple independent variables.
- Polynomial Regression models a non-linear relationship by fitting a polynomial equation, but it is still considered a form of linear regression because the coefficients are calculated in a linear fash
3. Regression Coefficient and Interpretation
- A regression coefficient quantifies the change in dependent variable for a unit change in an independent variable while holding other independent variables constant.
- Regression coefficient is also known as the slope coefficient.
- In simple linear regression, the coefficient represents the slope of the regression line.
4. Regression Line and Linear Regression
- Linear regression is the simplest form of regression.
- It assumes a straight-line relationship between the independent variable x and the dependent variable y.
- The regression line is the best-fitting straight line through the data points.
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