5-7 Scatter Plots and Trend Lines

Objectives

To write an equation of a trend line and of a line of best fit

To use a trend line and a line of best fit to make predictions

Solve it: Tyler says, “The number of digital albums downloaded has an effect on CD sales.”
Image Long Description

In the Solve It, the number of albums downloaded per year and the number of CDs sold per year are related.

Essential Understanding You can determine whether two sets of numerical data are related by graphing them as ordered pairs. If the two sets of data are related, you may be able to use a line to estimate or predict values.

A scatter plot is a graph that relates two different sets of data by displaying them as ordered pairs. Most scatter plots are in the first quadrant of the coordinate plane because the data are usually positive numbers.

You can use scatter plots to find trends in data. The scatter plots below show the three types of relationships that two sets of data may have.

A scatterplot displays points that are clustered along a line that rises from approximately (0, 0). A scatterplot displays points that are clustered along a line that falls from near the top of the y-axis to near the right end of the x-axis. A scatterplot displays points that are distributed throughout the graph area in no apparent pattern.
When y tends to increase as x increases, the two sets of data have a positive correlation. When y tends to decrease as x increases, the two sets of data have a negative correlation. When x and y are not related, the two sets of data have no correlation.

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments