Question

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

Explanation:

• (a) In Figure 1, the points are randomly scattered, indicating no relationship.
• (b) In Figure 3, as the x - values increase, the y - values decrease in a somewhat linear fashion, showing a negative linear relationship.
• (c) In Figure 4, as the x - values increase, the y - values increase in a somewhat linear fashion, showing a positive linear relationship.
• (d) In Figure 2, the points follow a curved pattern, indicating a nonlinear relationship.

Answer:

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