# Lesson Plan: Least Squares Regression Line Mathematics

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

- find and interpret the equation of the least squares regression line,
- use the equation of the least squares regression line to solve real-life situations,
- estimate the value of or given a table of - and -values or the regression model,
- find the points that lie on the same least squares regression line,
- calculate the value of the regression coefficient (the slope),
- identify the appropriate linear model,
- calculate the least squares regression line given parts of the formula such as the standard deviation or the mean.

#### Prerequisites

Students should already be familiar with

- whether two variables have linear correlation based on a scatter diagram of bivariate data,
- the notions of positive and negative correlation based on a scatter diagram of bivariate data,
- the strength of correlation based on a scatter diagram of bivariate data,
- one-variable statistics, including variation, mean, and standard deviation.

#### Exclusions

Students will not cover

- proof of the formula for the gradient and -intercept of the least squares regression line,
- using the correlation coefficient to determine the type of correlation,
- drawing the least squares regression line.