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

shown below are the scatter plots for four data sets. answer the questions that follow. (a) which data set appears to show a nonlinear 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 negative linear relationship between its two variables? (d) which data set appears to show no relationship between its two variables?
Answer
Explanation:
Step1: Analyze nonlinear relationship
In Figure 4, the points follow a curved - shaped pattern, indicating a nonlinear relationship.
Step2: Analyze positive linear relationship
In Figure 3, as the x - values increase, the y - values generally increase in a linear fashion.
Step3: Analyze negative linear relationship
In Figure 1, as the x - values increase, the y - values generally decrease in a linear fashion.
Step4: Analyze no relationship
In Figure 2, the points are randomly scattered with no clear pattern of increase or decrease.
Answer:
(a) The data set in Figure 4 (b) The data set in Figure 3 (c) The data set in Figure 1 (d) The data set in Figure 2