Illuminations: The Regression Line and Correlation

The Regression Line and Correlation


Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting See Related 9-12 Data Analysis & Probability Standard. Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.


Individual Lessons

Lesson 1 - The Regression Line

Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting (See Related 9-12 Data Analysis & Probability Standard). Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.

Lesson 2 - The Effects of Outliers

Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting (See Related 9-12 Data Analysis & Probability Standard). Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.

Lesson 3 - Correlation and the Regression Line

Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting (See Related 9-12 Data Analysis & Probability Standard). Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.

Lesson 4 - The Centroid and the Regression Line

Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting (See Related 9-12 Data Analysis & Probability Standard). Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.

NCTM Resources

Navigating through Data Analysis in Grades 9–12 (with CD-ROM)

National Council of Teachers of Mathematics Thinkfinity Verizon Foundation
© 2000 National Council of Teachers of Mathematics
Use of this Web site constitutes acceptance of the Terms of Use