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

Explanation:

Step1: Identify positive linear relationship

In a positive - linear relationship, as the x - value increases, the y - value also increases in a linear fashion. In Figure 1, the points generally move upwards from left to right, indicating a positive linear relationship.

Step2: Identify negative linear relationship

In a negative - linear relationship, as the x - value increases, the y - value decreases in a linear fashion. In Figure 3, the points generally move downwards from left to right, indicating a negative linear relationship.

Step3: Identify no relationship

In a data - set with no relationship, the points are scattered randomly with no discernible pattern. In Figure 4, the points are randomly placed, showing no relationship.

Step4: Identify nonlinear relationship

In a nonlinear relationship, the points follow a non - straight - line pattern. In Figure 2, the points form a curved pattern, indicating a nonlinear relationship.

Answer:

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