shown below are the scatter plots for four data sets. answer the questions that follow.\n(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 - like fashion. In Figure 4, the points generally move upwards from left to right, indicating a positive linear relationship.

Step2: Understand negative linear relationship

In a negative linear relationship, as one variable increases, the other variable decreases in a linear - like fashion. In Figure 1, the points generally move downwards from left to right, indicating a negative linear relationship.

Step3: Understand no relationship

In a data - set with no relationship, there is no discernible pattern between the two variables. In Figure 2, the points are scattered randomly, showing no relationship.

Step4: Understand non - linear relationship

In a non - linear relationship, the relationship between the two variables is not a straight - line. In Figure 3, the points follow a curved pattern, indicating a non - linear relationship.

Answer:

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