Lesson: Least Squares Regression Line Mathematics

In this lesson, we will learn how to find and use the least squares regression line equation.

Lesson Plan

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.

Lesson Video

Lesson Explainer

Sample Question Videos

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Lesson Worksheet

Q1:

The scatterplot shows a set of data for which a linear regression model appears appropriate.

The data used to produce this scatterplot is given in the table shown.

Calculate the equation of the least squares regression line of on , rounding the regression coefficients to the nearest thousandth.

Q2:

Using the information in the table, find the regression line . Round and to 3 decimal places.

Q3:

The table shows the price of a barrel of oil and the economic growth. Using the information in the table, find the regression line . Round and to 3 decimal places.