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 negative linear relationship between its two variables? (choose one) (b) which data set appears to show a positive linear relationship between its two variables? (choose one) (c) which data set appears to show a nonlinear relationship between its two variables? (choose one) (d) which data set appears to show no relationship between its two variables? (choose one)
Answer
Explanation:
Step1: Understand linear relationships
In a negative - linear relationship, as one variable increases, the other decreases in a linear fashion. In a positive - linear relationship, as one variable increases, the other also increases in a linear fashion. A non - linear relationship has a curved pattern, and no relationship means the points are randomly scattered.
Step2: Analyze Figure 1
The points in Figure 1 follow a curved pattern, so it shows a non - linear relationship.
Step3: Analyze Figure 2
As the x - values increase, the y - values decrease in a somewhat linear fashion. So, Figure 2 shows a negative linear relationship.
Step4: Analyze Figure 3
The points in Figure 3 are randomly scattered, so it shows no relationship.
Step5: Analyze Figure 4
As the x - values increase, the y - values increase in a linear fashion. So, Figure 4 shows a positive linear relationship.
Answer:
(a) Figure 2 (b) Figure 4 (c) Figure 1 (d) Figure 3