Question
Which scatterplot does NOT suggest a linear relationship between x and y?
Four scatter plots are displayed.
**a.** shows a positive correlation, with the points trending upward from left to right.
**b.** shows no correlation, with the points scattered randomly across the graph.
**c.** shows a negative correlation, with the points trending downward from left to right.
**d.** shows a positive correlation, with the points trending upward from left to right and then downward.
a.
c.
b.
d.
Responses
a. and b.
a. and b.
a. only
a. only
a. and c.
a. and c.
b. and d.
b. and d.
b. only
b. only
None of these represent a linear relationship
Answers
GPT-4o mini
The scatterplot that does NOT suggest a linear relationship between x and y is **b.**, which shows no correlation, with the points scattered randomly across the graph.
Option **d.** describes a scenario where the points initially trend upward and then downward, which indicates a non-linear relationship as well, but option **b.** clearly has no correlation at all. Therefore, the best answer is:
**b. only**
Option **d.** describes a scenario where the points initially trend upward and then downward, which indicates a non-linear relationship as well, but option **b.** clearly has no correlation at all. Therefore, the best answer is:
**b. only**