New York and Pennsylvania have progressive toll roads. Upon entering the toll road the driver receives a ticket marking the location and time of entrance. Upon exiting the mileage is computed and the driver pays the toll. Which of the following would you expect to be true about the correlation between mileage and tolls on the New York and Pennsylvania toll roads?
Strong and positive
Weak and negative
Strong and negative
Weak and positive
Zero
If the toll is based on the mileage, then the relationship is strong and positive.
strong and positive
zero
To determine the correlation between mileage and tolls on the New York and Pennsylvania toll roads, we need to understand the relationship between these two variables.
In this scenario, the correlation is likely to be "strong and positive." Here's why:
1. Progressive toll roads imply that the toll amount increases with the mileage. As the driver travels a greater distance on the toll road, the toll cost accumulates.
2. By receiving a ticket upon entrance, the toll road system can record the exact location and time of entrance. Similarly, when the driver exits, the system can calculate the mileage by subtracting the entrance location from the exit location.
3. The driver pays the toll based on the computed mileage. Since the toll amount increases with mileage, a greater distance traveled would result in a higher toll cost.
Therefore, as the mileage increases, the tolls are expected to increase as well, indicating a positive correlation. Additionally, the progressive nature of these toll roads suggests that the correlation is likely to be strong.
In summary, the correlation between mileage and tolls on the New York and Pennsylvania toll roads is expected to be strong and positive.