Curated OER
Line of Best Fit
In this line of best fit activity, students solve and complete 8 different problems that include plotting and creating their own lines of best fit on a graph. First, they study the samples at the top and plot the ordered pairs given on...
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation...
Curated OER
Line of best fit
In this Algebra I/Algebra II worksheet, students determine the line of best fit for a scatter plot and use the information to make predictions involving interpolation or extrapolation. The one page worksheet contains one multiple...
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...
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.
Curated OER
Equation of a Line
In this equation of a line worksheet, 9th graders solve and complete 4 different multiple choice problems. First, they use the median fit method to determine the equation that most likely represents the line of best fit for the data...
Curated OER
Integration: Statistics, Scatter Plots and Best-Fit Lines
In this math worksheet, students identify the type (if any) of correlation on 6 scatter plots. They use information given on a table to create a scatter plot and identify the type of correlation. Students use the scatter plot to make...
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...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
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...
Curated OER
Academic Grade 9 Assessment of Mathematics: Algebra I and Geometry
Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...
Curated OER
Lesson 6-7: Scatter Plots and Equations of Lines
In this scatter plot worksheet, students examine tables and write a linear equation that matches the table. Students graph linear equations. They read scatter plots, determine the trend line, and write a linear equation to...
Center of Excellence for Science and Mathematics Education
A Sick Astronaut
Aspiring astronauts graph, interpret, and analyze data. They investigate the relationship between two variables in a problem situation. Using both graphic and symbolic representations they will grasp the concept of line of best fit to...
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...
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...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson plan explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
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...
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, learners use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares activity, students use a linear algebra approach to discrete last squares approximation. This two-page activity contains approximately 10 problems.
Curated OER
Fourteen Math Regent Exam Statistics Questions on Scatter Plots and Linear Regression
In this linear regression learning exercise, students solve fourteen Math Regent Exam questions regarding scatter plots and linear regression. The solutions are provided.