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

Explanation:

Step1: Understand positive linear relationship

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

Step2: Understand negative linear relationship

In a negative - linear relationship, as one variable increases, the other variable decreases in a linear fashion. In Figure 1, as the x - values increase, the y - values generally decrease in a somewhat straight - line pattern.

Step3: Understand nonlinear relationship

In a nonlinear relationship, the pattern is not a straight - line. In Figure 4, the points follow a curved pattern, indicating a nonlinear relationship.

Step4: Understand no relationship

In a data set with no relationship, there is no discernible pattern between the two variables. In Figure 3, the points are scattered randomly with no clear upward, downward, or curved trend.

Answer:

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