National Council of Teachers of Mathematics
Geogebra: Residuals and Linear Regression
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
Balanced Assessment
Who's Left?
If you're not right-handed, are you wrong-handed? Young statisticians calculate the percentage of left-handed people using a given data set in the assessment task. They plot data on a scatter plot and consider how the line of best fit...
Balanced Assessment
A Fishy Story
There's nothing fishy about this resource. In the task, learners use given information about fish prices to create a scatter plot and line of best-fit. Later, they use the information to answer questions about the profit from fish sales.
Teach Engineering
Linear Regression of BMD Scanners
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
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
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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...
Curated OER
Comparison of Two Different Gender Sports Teams - Part 3 of 3 Scatter Plots and Lines of Best Fit
Pupils create a scatter plot for bivariate data and find the trend line to describe the correlation for the sports teams. In this scatter plot instructional activity, students analyze data, make predictions,and use observations...
Curated OER
Using Matrices for Data
In this matrices for data learning exercise, 9th graders solve and complete 29 various types of problems that include using matrices to illustrate data. First, they determine the sum, difference and scalar product for each matrices...
Curated OER
In A Heartbeat
Learners discuss scatter plots then create a class scatter plot using their heart rate at rest and their heart rate after a few minutes of aerobic exercises. Students copy the points plotted as a class and create individual graphs...
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 lesson, students graph the residuals of sets of data that appear to have an exponential...
Curated OER
A Wet Welcome Home
Learners investigate data collection and analysis. In this Algebra I activity, students create a scatter plot and find the equation of best fit in a simulation of a leaking water pipe.
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
Making Predictions from Data with a Graphing Calculator
In this making predictions from data worksheet, students solve 15 short answer problems. Students determine average miles per gallon given data on miles traveled and gas used. Students make predictions using the data and a line of best fit.
Curated OER
Shake It Up with Scatterplots
Students identify how to use a scatterplot to compare two sets of data to determine if they are related. Then they identify and describe the definition of regression line (the "line of best fit"). Students also identify how scientists...
Curated OER
Graphing and Analyzing
For this graphing and analyzing worksheet, 9th graders first state if each graph represents a linear or nonlinear relationship. Second, they create a difference table for each set of data presented and determine whether it represents a...
Curated OER
Using Data Analysis to Review Linear Functions
Using either data provided or data that has been collected, young mathematicians graph linear functions to best fit their scatterplot. They also analyze their data and make predicitons based on the data. This lesson is intended as a...
Curated OER
Salad Tray 3D Topographic Model
Students explore the characteristics of topographical maps. They examine the relationship of contour lines and vertical elevation. Students create a three-dimensional model of a landscape represented by a topographic contour map.
American Statistical Association
Scatter It! (Using Census Results to Help Predict Melissa’s Height)
Pupils use the provided census data to guess the future height of a child. They organize and plot the data, solve for the line of best fit, and determine the likely height and range for a specific age.
American Statistical Association
You and Michael
Investigate the relationship between height and arm span. Young statisticians measure the heights and arm spans of each class member and create a scatter plot using the data. They draw a line of best fit and use its slope to explain the...
Kenan Fellows
Let's Move
Find a statistical reason for a fresh start. Using a hypothetical scenario, individuals research statistical data of three different cities. Their goal? Find the best statistical reason for a business to move to a new location. Their...
Jordan-Granite Consortium
Scatter Diagram
You aced the first test, so your score on the second one shouldn't matter, right? Young pupils first draw a best fit line on a provided scatter plot showing test scores for two different tests. They then evaluate five...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson plan in a seven-part series challenges scholars to find the mass and volume of two unknown liquids....
Mathematics Vision Project
Module 9: Modeling Data
How many different ways can you model data? Scholars learn several in the final module in a series of nine. Learners model data with dot plots, box plots, histograms, and scatter plots. They also analyze the data based on the data...
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