LEARN NC

K–12 teaching and learning · from the UNC School of Education

Advanced Placement Statistics

Goal 4: Algebra - The learner will analyze bivariate data to solve problems.

Objective 4.01. Analyze bivariate data.

  • Recognize and analyze correlation and linearity.
  • Determine the least squares regression line.
  • Create residual plots and identify outliers and influential points to analyze data.
  • Use logarithmic and power transformations to analyze data.

Additional related resources

We’re in the process of aligning our content for students to the Standard Course of Study. As we do, you’ll find it here.

General resources

Aligned lesson plans

Space Shuttle O-ring failure
Students will use a TI82 or TI83 calculator to construct a scatterplot, find the equation of the least-squares regression line for a set of data, find the coefficient of determination, and make predictions by using the line.
Format: lesson plan (grade 9–12 Mathematics)
By Brenda Goforth.
Learning to use R statistical software for linear regression — An alternative to the graphing calculator
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 2
Students often learn how to do linear regression activities using a graphing calculator. This lesson provides an opportunity to complete these same types of assignments using R statistical software. Students will use this free software to create scatter plots and to develop linear regression models that can be used to make predictions.
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
Learning to use R statistical software for data mining — Putting it all together
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 4
Students will mine data to identify the variables that most significantly impact the...
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
Learning to use R statistical software for data mining — An extension of linear regression to multiple variables
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 3
In this lesson, students will use the free R statistical software to navigate through the basics of data mining, a process in which the effects of individual variables can be determined. Students will utilize multiple methods of variable selection — forward selection, backward selection, and stepwise selection — in an attempt to determine which variables are most influential in a given situation.
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
Data gathering - Linear regressions
In groups of three, students gather data by experiment or observation in one of nine activities. Each group models the data they gathered, creates a display, and presents results to the class using an overhead projector.
Format: lesson plan (grade 8–12 Mathematics)
By Judy Pickering.

Resources on the web

Work to a Conclusion
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Reflecting on your work
In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context and apply the methods they explored in the previous lesson to two new situations. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Northwestern Crows
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Make a conjecture
In this lesson, students explore rates of change and accumulation in context and study the mathematics involved in determining the amount of blood being pumped by a heart. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Gather data
In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context by modeling cardiac output. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
The Effects of Outliers
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Correlation and the Regression Line
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Conduct an Experiment
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Analyze the Data
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics