Texas Instruments
Texas Instruments: Fitting an Equation to Bivariate Data
In this activity, students fit a linear least-square regression line to population data. They explore various functions to model the given data.
McGraw Hill
Glencoe Mathematics: Online Study Tools: Self Check Quiz on Linear Functions
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on linear functions. Topics include modeling real-world data with linear functions, scatterplots, and regression...
Texas Instruments
Texas Instruments: Finding Linear Models
Students graph a scatter plot, find average rate of change, develop a linear model, find a linear regression and a median/median line for a set of data graphed in a scatter plot and predict profit.
BBC
Bbc: Statistical Skills: Comparing Data Sets Using Statistics
This site is a demonstration of Comparing data sets using statistics and forming a linear model from a given set of data. Examples and a practice test are included.
ClassFlow
Class Flow: Fitting Models to Data
[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...
Texas Instruments
Texas Instruments: Ball Toss Activity
Students receive data from tossing a ball into the air. They are to graph it, set a window, and analyze the height, how long it was in the air, etc. They then find an equation that models the data.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Texas Instruments
Texas Instruments: Non Linear Association I
This set contains statistics questions regarding non-linear association: straightening data using logarithmic and power transformations. The student analyzes which type of regression will best model the data.
Texas Instruments
Texas Instruments: Linear Relationship Between Weight and Quality
Students use a Force Sensor to collect weight versus number data for a collection of identical pennies and model the data using a linear equation. They will then interpret the slope as it relates to independent and dependent variables.
CK-12 Foundation
Ck 12: Algebra: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw a scatter plot of data, find and draw the function that best fits that data, and make predictions from that information. Students watch...
Other
Siam/mathematical Modelers Look to an Uncertain Future
A summary of error and uncertainty considerations, presented at an annual mathematicians' meeting. Not terribly deep, and covers the gamut of concerns about modeling of the real world with inadequate data or math tools. On target. This...
Texas Instruments
Texas Instruments: It's a Small World
In this activity, students collect population data for the world on 10 different days and then find a model for the data set assuming that over a short period of time the data can be considered linear. Finally, they evaluate the model...
Texas Instruments
Texas Instruments: Science Today More of u.s.
Students examine the USA TODAY Snapshot "More of U.S.", construct a graph from the data, produce a mathematical model (linear) for the data, determine the rate of change for the data, and make predictions about future population levels.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Fitting Equations to Data
Five problems present practice using data to write equations and linear models. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Thinkport Education
Thinkport: Algebra Ii: Linear, Quadratic and Exponential Regression
Review linear regression and analyze how well this model fits the data. You will also be introduced to residuals and the correlation coefficient, and use these tools to determine whether or not a linear model is the best fit for a set of...
Texas Instruments
Texas Instruments: Exponential Models and Logarithmic Scales
In this activity, students will analyze exponential growth data and then switch to a logarithmic scale. Includes both an exponential and a linear regression on the data, and asks students to make connections between two forms of...
Texas Instruments
Texas Instruments: The Linear Force Relation for a Rubber Band
In this activity, students' will use a force sensor and a motion detector to study the relationship between the force applied to a rubber band and the distance to which it stretches. They will then model force versus strech data with a...
McGraw Hill
Glencoe Mathematics: Online Study Tools: Quiz on Writing Linear Equations
Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on writing linear equations. Topics include modeling real-world data with linear equations, slope-intercept form, and...
Texas Instruments
Texas Instruments: Step by Step Activity Data Collection & Analysis
In this activity, students create a situation that produces linear behavior by stepping heel to toe and taking distance readings as each step is taken. Students then apply the properties of a linear function to develop a model for motion.
Texas Instruments
Texas Instruments: Chill Out: How Hot Objects Cool
Students use a temperature probe to collect data as the warmed probe cools. Students investigate Newton's law of cooling and model cooling data with an exponential function. They fit the data to a mathematical model after analysis.
Texas Instruments
Texas Instruments: Stepping to the Greatest Integer: Greatest Integer Function
In this activity, students' will use a motion detector to collect position data showing evenly-spaced jumps in value. They will then model this data using the greatest integer function.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 1
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This variant...
Texas Instruments
Texas Instruments: A Tall Story
In this activity, students can use the motion detector to measure their current height and obtain a mean value. They will use this and earlier data to plot a graph of height versus age. Students will identify the mathematical model that...
TeachEngineering
Teach Engineering: Latex Tubing and Hybrid Vehicles
This unit gives students the opportunity to make use of linear models in order to make predictions based on real-world data. Students experience how engineers address incredible and important design challenges through the use of linear...