Question

The table compares the gas mileage to the distance the car can travel on one tank of gas. Make a scatter plot of the data. Then tell whether the data have a positive association, a negative association, or no association.

Answer 1

The scattered plot that represents the data on the table is graph 1. The data shows a positive association.

How do we identify the type of association on the graph?

Positive Association: If, as the gas mileage increases, the distance also increases, then the data would have a positive association.

Negative Association: If, as the gas mileage increases, the distance decreases, then the data would have a negative association.

No Association: If there is no clear pattern or relationship between gas mileage and distance, then the data would have no association.

From the data shown, we see that as the gas mileage increase, the distance also increases. The points plotted on the graph shows an upward trajectory from left the right.