Lesson Plan: Least Squares Regression Line | Nagwa Lesson Plan: Least Squares Regression Line | Nagwa

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 𝑦 or 𝑥 given a table of 𝑥- and 𝑦-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 𝑦-intercept of the least squares regression line,
  • using the correlation coefficient to determine the type of correlation,
  • drawing the least squares regression line.

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