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.
o a
o b
o c
o d

Explanation:

Step1: Define variables

Let $x$ be the number of stop - signs and $y$ be the number of speeding tickets.

Step2: Analyze association

As $x$ increases, $y$ decreases. This is a negative association, not a positive one. A positive association means as one variable increases, the other also increases.

Step3: Analyze scatter - plot slope

For a negative association, the scatter - plot has a negative slope.

Step4: Analyze causation

It is reasonable to think that more stop - signs can cause drivers to slow down, reducing the number of speeding tickets.

Step5: Analyze variable change

Given that as the number of stop - signs ($x$) increases, the number of speeding tickets ($y$) decreases.

Answer:

A. There is positive association between the variables.