shown below are the scatter plots for four data sets. answer the questions that follow.\n(a) which data set…

Explanation:

Step1: Analyze nonlinear relationship

In a nonlinear relationship, the points do not follow a straight - line pattern. In Figure 2 and Figure 3, the points follow a curved pattern. But we need to pick one. Figure 2 has a U - shaped curve, so it shows a nonlinear relationship.

Step2: Analyze positive linear relationship

In a positive linear relationship, as one variable increases, the other variable also increases in a linear fashion. Figure 4 shows points that follow an upward - sloping straight - line trend.

Step3: Analyze negative linear relationship

In a negative linear relationship, as one variable increases, the other variable decreases in a linear fashion. None of the given scatter - plots show a clear negative linear relationship.

Step4: Analyze no relationship

In a data set with no relationship, the points are randomly scattered. Figure 1 has points that are randomly placed with no discernible pattern.

Answer:

(a) Figure 2 (b) Figure 4 (c) None of the figures (d) Figure 1