Question

your answer is incorrect. shown below are the scatter plots for four data sets. answer the questions that follow. (a) which data set appears to show a negative linear relationship between its two variables? (b) which data set appears to show a positive linear relationship between its two variables? (c) which data set appears to show a nonlinear relationship between its two variables? (d) which data set appears to show no relationship between its two variables?

Explanation:

Step1: Analyze negative linear relationship

In a negative linear relationship, as one variable increases, the other decreases in a linear - like fashion. Looking at the figures, Figure 2 shows points that generally trend downwards as we move from left to right, so the data set in Figure 2 shows a negative linear relationship.

Step2: Analyze positive linear relationship

In a positive linear relationship, as one variable increases, the other also increases in a linear - like fashion. Figure 4 shows points that generally trend upwards as we move from left to right, so the data set in Figure 4 shows a positive linear relationship.

Step3: Analyze nonlinear relationship

A nonlinear relationship means the relationship between the two variables is not a straight - line. Figure 3 has points that follow a curved pattern, so the data set in Figure 3 shows a nonlinear relationship.

Step4: Analyze no - relationship

If there is no relationship between the two variables, the points will be randomly scattered. Figure 1 has points that do not show any clear upward, downward, or curved trend, so the data set in Figure 1 shows no relationship.

Answer:

(a) The data set in Figure 2
(b) The data set in Figure 4
(c) The data set in Figure 3
(d) The data set in Figure 1