Line of Best Fit Teacher Resources
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Lines of Fit
Students graph an equation and analyze the data. In this algebra lesson, students graph scatter plots and identify the line of best fit using positive correlation, negative correlation an d no correlation. They apply their data analysis to word problems.
Impact of a Superstar
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.
Learners work in pairs to test the strength of spaghetti strands. They collect and graph data to determine a line of best fit. Students create a linear equation to interpret their data. Based on the data collected, learners predict results with 10 strands of spaghetti.
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.
Cause and Effect?
Ninth graders explore the concepts correlation studies. In this correlation studies lesson, 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.
Fitting a Line to Data
Students investigate and analyze data. In this algebra lesson, students plot data on a coordinate plane and identify the line of best fit. They plot points correctly and make predictions about their data.
Students investigate different correlations. In this algebra lesson, students analyze graphs and identify the lines as having positive, negative or no correlation. They calculate the line of best fit using a scatter plot.
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.
Exploring Linear Data
Young scholars model linear data in a variety of seings. They construct scatterplots, interpret data points and trends and investigate the line of best fit.
Linear Systems: Least Squares Approximations
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.
What's Your Line? (Linear Equations)
Students conduct surveys and collect data. They analyze the data through graphs and calculate the rate of change. Students write an equation that represents the line of best fit. They determine the points on a line. Students participate in real world activities.
A Sweet Drink
Students investigate reaction rates. In this seventh or eighth grade mathematics lesson, 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.
Data and Scatter Plots
Learners collect and analyze data. In this statistics lesson, students plot their data on a coordinate plane. They identify the line of best fit the type of correlation as positive negative or no correlation.
Young scholars graph and analyze data. In this algebra lesson, students relate algebra to their engineering class. They analyze a set of given points, write an equation for the line and make predictions. They find the line of best fit.
Line of Best Fit
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.
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 choice question. Answers are included.
Calculating Residuals and Constructing a Residual Plot
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 young scholars 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.
Comparison of Two Different Gender Sports Teams - Part 3 of 3 Scatter Plots and Lines of Best Fit
Students 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 about sports data using a scatter plot to find the line of best fit. Students explore a website and worksheets to complete the project. Students also write an essay and complete a quiz for assessment.