Question

determine whether the graph shows a positive correlation, a negative correlation, or no correlation. if there is a positive or negative correlation, describe its meaning in the situation.
video rental fines
graph: y - axis (fines, dollars) from 1 to 10, x - axis (videos rented) from 1 to 10, with data points
a. negative; as the number of videos rented increases, the amount of fine increases.

Explanation:

Step1: Analyze Correlation Type

To determine correlation, observe the trend of points. If \( x \) (videos rented) and \( y \) (fines) have no clear upward/downward trend, it's no correlation. Here, points are scattered randomly—no consistent increase/decrease.

Step2: Evaluate Option (a)

Option (a) says "negative; as videos rented increase, fines increase." But negative correlation means \( y \) decreases as \( x \) increases, and "fines increase" would be positive (or wrong for negative). Also, the scatter has no negative trend.

Answer:

The graph shows no correlation. The option (a) is incorrect because the points do not follow a negative (or positive) linear trend—they are scattered without a consistent relationship between the number of videos rented and the fine amount. If forced to assess the option: it misidentifies correlation (negative + "fines increase" is contradictory, and the trend isn't negative).