PHET
Least-Squares Regression
Less is best when looking at residuals. Scholars use an interactive to informally fit a linear regression line to data on a scatter plot. The interactive provides a correct best fit line with residuals and correlation coefficient to...
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...
CK-12 Foundation
Least-Squares Regression
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
Kenan Fellows
Multivariate Least Squares Regression Model with Variable Selection
The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson of a three-part series. Using the open source R...
Curated OER
Influence and Outliers
Using the TI-Nspire calculator, statisicians identify outliers and their effect on the least-squares regression line. In finding the line of best fit, they determine what points will affect the least squares regressions and what points...
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.
Kenan Fellows
Least Squares Linear Regression in R
The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...
Curated OER
Scatterplots
In this scatterplots worksheet, students construct a scatter plot from a given data set. Students then answer 4 questions regarding the least-squares regression line and making predictions.
College Board
2018 AP® Statistics Free-Response Questions
Are your classes ready for their final exams? Give them a test run with the 2018 AP® exam. The resource provides the six free-response questions covering topics such as confidence intervals, population proportions, and least-squares...
Curated OER
Texting and Grades II
Given the least squares regression line, interpret the slope and intercept in the context of the relationship between texting and GPA. Although this task is short and looks simple, some subtle points can be brought to light in a...
Curated OER
Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable instructional activity, students graph the residuals of sets of data that appear to have...
Curated OER
Business & Statistics: Final Exam
In this business and statistics worksheet, students read real-life business problems, arrange data, and identify the probability method best used to determine the answer. They identify the type of random sample, draw stem-and-leaf plots,...
American Statistical Association
EllipSeeIt: Visualizing Strength and Direction of Correlation
Seeing is believing. Given several bivariate data sets, learners make scatter plots using the online SeeIt program to visualize the correlation. To get a more complete picture of the topic, they research their own data set and perform an...
Curated OER
Numerical Analysis: Introduction to Approximation Theory
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
Curated OER
A Functional Housing Market
Learners access the Internet to search for housing prices in Houston, Texas,(the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house.
Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Curated OER
Price of Apples- Linear Data
Students collect data and create a graph. In this algebra lesson, students describe functions graphically, algebraically and verbally. They identify functions as being independent and dependent using variables.