Question

determine whether the scatter diagram indicates that a linear relation may exist between the two variables. if the relation is linear, determine whether it indicates a positive or negative association between the variables. use this information to answer the following. do the two variables have a linear relationship? a. the data points have a linear relationship because they lie mainly in a straight line. b. the data points do not have a linear relationship because they do not lie mainly in a straight line. c. the data points do not have a linear relationship because they lie mainly in a straight line. d. the data points have a linear relationship because they do not lie mainly in a straight line.

Explanation:

Step1: Recall linear - relationship concept

In a scatter - diagram, if data points lie mainly in a straight line, there is a linear relationship. If they do not lie mainly in a straight line, there is no linear relationship.

Step2: Analyze the options

Option A is correct because if data points lie mainly in a straight line, they have a linear relationship. Option B is incorrect as it has the wrong reasoning for no linear relationship. Option C has a wrong statement as lying mainly in a straight line indicates a linear relationship, not the opposite. Option D has incorrect reasoning as not lying mainly in a straight line means no linear relationship.

Answer:

A. The data points have a linear relationship because they lie mainly in a straight line.