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

Explanation:

Step1: Identify negative linear relationship

In a negative - linear relationship, as one variable increases, the other decreases in a linear fashion. In Figure 2, as the x - values increase, the y - values decrease in a somewhat straight - line pattern.

Step2: Identify positive linear relationship

In a positive linear relationship, as one variable increases, the other also increases in a linear fashion. In Figure 4, as the x - values increase, the y - values increase in a somewhat straight - line pattern.

Step3: Identify no relationship

In a data set with no relationship, the points are scattered randomly with no discernible pattern. In Figure 1, the points are randomly scattered with no clear increasing or decreasing trend.

Step4: Identify nonlinear relationship

In a nonlinear relationship, the points follow a non - straight - line pattern. In Figure 3, the points form a U - shaped pattern, which is a nonlinear relationship.

Answer:

(a) Figure 2 (b) Figure 4 (c) Figure 1 (d) Figure 3