Inside Mathematics
Snakes
Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five additional data...
Statistics Education Web
The United States of Obesity
Mississippi has both the highest obesity and poverty rate in the US. Does the rest of the data show a correlation between the poverty and obesity rate in a state? Learners tackle this question as they practice their skills of regression....
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a precursor to...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Texas Instruments
Finding Linear Models Part III
Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.
Curated OER
Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Curated OER
Investigating Correlation
High schoolers investigate different types of correlation in this statistics lesson. They identify positive, negative and no correlation as it relates to their data. They then find the line of best fit for the plotted data.
Curated OER
Curve Fitting
Pupils investigate linear, quadratic, and exponential regressions. They plot sets of data points, determine the regression equation that best fits the data and lastly investigate the coefficient of determination.
Curated OER
Ball Toss Activity
Pupils collect data from tossing a ball into the air. Using a data collection device, they graph the data, set a window, and analyze the height of the toss, how long the ball was in the air, etc. They then find an equation that models...
Alabama Learning Exchange
The Composition of Seawater
Students explore the concept of finding the composition of seawater. In this finding the composition of seawater instructional activity, students make a saturated salt water solution. Students discuss why there is variation in ocean...
Other
Stat Soft: Multiple Regression
This resource has a lot of information on multiple regression. It also contains information on the regression line.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Correlation and Lines of Best Fit
Twenty problems present a variety of practice determining correlation based on data in a scatter plot and using lines of best fit with given data. They are given with each step to the solution cleverly revealed one at a time. You can...
Math Is Fun
Math Is Fun: Scatter Plots
Explains, with examples, what scatter plots are and how to interpret the data. Discusses trends, interpolation and extrapolation, and correlation. Includes a set of practice questions.
National Institute of Standards and Technology (NIST)
Nist: Engineering Statistics Handbook: Scatter Plots and Linear Regression
An explanation of scatter plots followed by examples of the many different kinds of scatter plots.
Science Education Resource Center at Carleton College
Serc: The Evolution of Pearson's Correlation Coefficient
For this activity, students explore nine scatter plots to develop their understanding of how two quantitative variables are related. Through an exploration of the properties of this association, they come to understand the standard...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Least Squares Regression
Create your own scatter plot or use real-world data and try to fit a line to it. Explore how individual data points affect the correlation coefficient and best-fit line.
Oswego City School District
Regents Exam Prep Center: Regression Analysis
A collection of lesson ideas, a practice activity, and teacher resources for exploring regression analysis.
Texas Education Agency
Texas Gateway: Tea Statistics: The Regression Equation
A tutorial on how to find the line of best fit or least-squares regression line for a set of data in a scatter plot using different methods and calculations.
Texas Education Agency
Texas Gateway: Collecting Data and Making Predictions
Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.
CK-12 Foundation
Ck 12: Interactive Algebra 1 for Ccss
This is a complete, full-year Algebra 1 course with interactivity included in every lesson. Some lessons include videos, and all include interactives and inline questions that offer instant, per-answer feedback. Every lesson also has...
Cuemath
Cuemath: Scatter Plot
A comprehensive guide for learning all about scatter plots with definitions, how to construct and solve them, types of scatter plots, solved examples, and practice questions.