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- Eric H., Teacher
- Vina, CA
Line of Best Fit Teacher Resources
Find Line of Best Fit educational ideas and activities
Students identify the line of best fit. In this superstar lesson, students examine data for total points and minutes played by basketball stars. They compare lines of best fit and interpret data results. Students use graphing calculators to display information in a scatterplot.
Students investigate reaction rates. In this seventh or eighth grade mathematics lesson plan, students collect, record, and analyze data regarding how the temperature of water affects the dissolving time of a sugar cube. Studetns determin the line of best fit and relate slope to rate of change.
Eleventh graders explore coefficient of correlation for bivariate data. Through activities, 11th graders use spaghetti to demonstrate the use of scatter plots and estimating a line of best fit. After collecting information, pupils use calculators to plot ordered pairs on a coordinate plane. Classmates observe the relationship between two items.
Ninth graders explore the concepts correlation studies. In this correlation studies instructional activity, 9th graders research for correlation studies. Students take a given data set and determine the line of best fit by making a scatter plot. Students discuss how certain events are correlated.
Students calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They create an equation of a line of best fit from a set of ordered pairs or set of data points. They interpolate and extrapolate to solve problems using systems of numbers.
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the equation of a parabola of best fit through a given set of points.
In this line of best fit worksheet, 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 the graph to the right. Then, students respond to the questions that follow using their graph and information to help them.
In this Algebra I/Algebra II worksheet, young scholars 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 choice question. Answers are included.
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.
Start this lesson by having your class generate their own data and determine the line of best fit relating their height and shoe size. Interpret the meaning of the slope and y-intercept in the context of the problem and use the equation to estimate shoe size based on height. Discuss the accuracy of their model and introduce the concept of residuals. Follow up with a two-problem worksheet where learners can practice calculating residuals for given data sets. The first has a step-by-step guide to the process. Included on the handout are directions on how to graph residuals on a TI calculator.
Your class will generate their own data relating the number of people to the time it takes to do a human wave. Once data is collected, a line of best fit is found and used to estimate how long it would take for the entire student body to produce one cycle of the wave in the school gym. How fun would it be to actually have your school do the wave and compare the actual time to the calculated estimate!
Your class can learn about positive and negative correlation by exploring the relationship between pairs of quantitative variables. Start with a description of the variables and hypothesize if a strong or weak correlation exists. Make specific data available and have them use scatter plots to help support their claim. Use graphing calculators to find the associated line of best fit and calculate the corresponding r-value. Have high schoolers present their work and discuss if the correlation coefficient supports their original hypothesis and if a linear regression is the best model for the data.