<meta http-equiv="refresh" content="1; url=/nojavascript/"> Problem Solving Strategies: Use a Linear Model | CK-12 Foundation
You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Teacher's Edition Go to the latest version.

# 5.7: Problem Solving Strategies: Use a Linear Model

Difficulty Level: At Grade Created by: CK-12

## Learning Objectives

At the end of this lesson, students will be able to:

• Read and understand given problem situations.
• Develop and apply the strategy: Use a Linear Model.
• Plan and compare alternative approaches to solving problems.
• Solve real-world problems using selected strategies as part of a plan.

## Vocabulary

Terms introduced in this lesson:

linear modeling

## Teaching Strategies and Tips

In Example 1:

• The problem combines a question from geometry with a solution from algebra.
• Assume a linear association exists between circumference and diameter, which is plausible given the scatterplot.
• Allow students to pick their own points to find the line of best fit. Compare regression models as a class.
• As a class, compute one interpolation and one extrapolation. Compare with the results obtained from the line of best fit.
• All models will contain some error due to measurement. Convince students that the $y-$intercept should be $0$ in any model: a circle of zero diameter has no circumference.

Observe in the scatterplot in Example 2 that the data are not linear.

• Assume that the data do not change drastically between the known data points.
• Interpolation or extrapolation methods will give better estimates than the line of best fit.

## Error Troubleshooting

General Tip: Before performing a linear regression on a data set, have students always check the scatterplot first for approximately linear data.

Feb 22, 2012

## Last Modified:

Aug 22, 2014
Files can only be attached to the latest version of None

# Reviews

Please wait...
Please wait...
Image Detail
Sizes: Medium | Original

CK.MAT.ENG.TE.1.Algebra-I.5.7