Line of Best Fit Teacher Resources
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Quiz: Scatter Plots and Line of Best Fit
In this scatter plots and line of best fit activity, students create scatter plots from given sets of data. They answer questions concerning the scatter plot. Students write the equation of a line, identify the type of correlation depicted in a graph, and draw the line of best fit. This one-page activity contains ten problems.
Plotting Scattergraphs, Correlation and Lines of Best Fit
Learners graph points on a coordinate plane. In this algebra lesson, students analyze the points on a coordinate plane finding the line of best fit. They compare age in years and arm span in inches.
Students, in groups, work together to determine the relationship of the distance a projector is from a screen and the size of image that results. While experimenting with the data, students identify the independent and dependent variable and write the equation of a line of best fit. They determine the best distance for the projector to illuminate the image on the entire screen.
Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this instructional activity 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 data and challenges one to make predications based on the model.
On Fire Lesson 2 - Investigating Fire Environments
In the context of western wildfires, mathematicians discover how a variable can be used to solve problems. They read about wildfires, construct variable equations, and then learn to graph results in scatter-plot fashion to determine if there are relationships between flame length and vegetation type. This resource comes complete with colorful, professionally-designed handouts that fully support the rich content.
How Many Frogs?
Students explore the concept of linear regression. In this linear regression activity, students find the line of best fit for a set of data pertaining to a frog population. Students use their line of best fit to predict the frog population in a certain year.
Four Activities Using Straight Line Graphs
This math packet includes four different activities which puts linear equations and line of best fit in the context of real world applications. Each activity uses a different linear math modeling equation and asks the learners to complete several questions. And grading will be a breeze, because answers are included.
How Long Does it Take?
Seventh graders use graphs to interpret data. For this linear equation lesson, 7th graders record the thickness of candy on a worksheet. Students start to eat their candy and measure it again. Students continue until the candy is gone. Students create a scatter plot to graph their data and answer questions to develop an equation.
Who's got the fastest legs?
Students use a stopwatch to collect information for a scatterplot. In this fastest legs lessons, students collect data through the taking of measurements, create and find a median number. Students develop an equation and answer questions based on their data.
Determining the Density of a Drop of Water-A Graphing Exercise
Students determine the density of 1 drop of water. In this determining density lesson plan, students determine the mass and volume of a drop of water in the lab using appropriate lab techniques and calculate the density of a drop of water.
Let's Get Linear
Math whizzes utilize spreadsheets to examine linear modeling. They roll marbles down a ramp from three different heights and measure how far they roll. They use Excel to record their data and create a plot of their data.
Watching Your Weight
Students explore the concept of scatter plots. In this scatter plots lesson, students collect data by simulating a seesaw. Students collect data about distance and weight. Students plot the data on their graphing calculator and find a line of best fit to model the data.
Graphing and Analyzing
In this graphing and analyzing instructional activity, 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 linear or nonlinear relationship. Next, students create a scatter plot for the data presented in each table and determine the curve of best fit.
Bivariate Data – Grade 11
Eleventh graders determine a line of regression and coefficient of correlation for bivariate data. In this Algebra II lesson, 11th graders determine the relationship between the regression line and the correlation coefficients. This review lesson provides an opportunity for students to learn the material in a different way, including visually and symbolically.
What is a Linear Regression?
Ninth graders explore regression equations. In this Algebra I lesson, 9th graders create lists of data points and determine the regression equation of the line that best fits the data points. In this second part to the lesson, students investigate the mathematics behind how the linear regression is determined.
A Wet Welcome Home
Students investigate data collection and analysis. In this Algebra I lesson, students create a scatter plot and find the equation of best fit in a simulation of a leaking water pipe.
Movement with Functions
Students explore the concept of linear regression. In this linear regression activity, students drive a remote control car and collect data on its speed over time. Students make a scatter plot and determine the line of best fit using linear regression.
Lines of Fit
Students solve equations dealing with best fit lines. In this algebra activity, students solve problems by analyzing data from a scatterplot, and define it as positive, negative or no correlation. They classify slopes the same way as positive, negative, zero or undefined.
Eighth graders conduct an experiment that is examining an equation that is drawn from collecting data measuring the acceleration and distance traveled by Hot Wheel cars. The equation that is drawn is used to make predictions of future outcomes.
Scatter Plot Graphs. Best Fit Lines
Students graph linear equations. In this algebra instructional activity, students differentiate between linear equations and scatter plots. They identify the best fit line as having a positive or negative slope. They find the y-intercept and use it to start off the graph of a linear equation.