Example 1

An education research team is interested in determining if there is a relationship between a student’s vocabulary and how frequently the student reads books. The team gives 20 students a 100-question vocabulary test, and asks students to record how many books they read in the past year. The results are in the following table. Is there a linear relationship between the number of books read and test scores? Use the correlation coefficient, [i]r[/i], to explain your answer.

[list=1] [*]Create a scatter plot of the data. [*]Describe the relationship between the data using the graphical representation. [*]Calculate the correlation coefficient on your graphing calculator. [*]Use the correlation coefficient to describe the strength of the relationship between the data. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.