# Lesson Plan: Linear Regression

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find and use the least squares regression line equation.

#### Objectives

Students will be able to

• understand how the least square regression line (alternatively, the regression line or line of best fit) is defined,
• interpret the slope (or gradient) of the regression line,
• graph the scatter plot and the regression line on the same grid,
• use the equation of the least square regression line to solve real-life situations,
• understand that the regression line is used to predict the value of the dependent variable from a given value of the independent variable (and not the other way round),
• predict the value of using the regression model,
• understand that linear regression is not valid for extrapolation,
• provide reasons for when correlation can suggest causation based on the real-world context.

#### Prerequisites

Students should already be familiar with

• sampling methods,
• scatter diagrams,
• the direction of correlation,
• the strength of correlation,
• causality,
• graphing an equation of a line.

#### Exclusions

Students will not cover

• the formula for the gradient and -intercept of the regression line,
• the correlation coefficient,
• computing residuals, variation, and ,
• the statistical symbol (hat) for predictors.