Question

1. local authorities found that as the number of stop signs in a neighborhood increases, the average number of speeding tickets issued in the neighborhood decreases. which of the following is not a true statement? a. there is positive association between the variables. b. a scatter - plot representing the situation would have a negative slope. c. the variables seem to represent causation. d. as the value of x increases, the value of y decreases.

Explanation:

In a positive - association, as one variable increases, the other generally increases. A scatter - plot with a positive association has a positive slope. Just because there is an association does not mean there is causation. Here, we analyze each statement about positive association.

• Option a: A positive association means as one variable (x) increases, the other (y) increases, not decreases, so this is incorrect.
• Option b: A scatter - plot representing a positive association has a positive slope, not a negative slope, so this is incorrect.
• Option c: Association does not imply causation, so variables can be associated without representing causation, this is a correct statement about association in general.
• Option d: In a positive association, as the value of x increases, the value of y increases, not decreases, so this is incorrect.

Answer:

c. The variables seem to represent causation.