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Question

Which variables would show NO relationship?

Question 3 options:

The number of buildings in a city and the number of trees in the city

The number of customers in line at the store and the wait time in line

The number of students enrolled in a school and the number of unused lockers at the school

The population of a city and the number of letters in the city's name

Answer 1

To determine which variables would show NO relationship, we should consider how the two variables interact or correlate with one another.

1. The number of buildings in a city and the number of trees in the city - These could have a relationship as cities with more buildings might have fewer trees due to urban development, or vice versa.

2. The number of customers in line at the store and the wait time in line - There is a direct relationship here; more customers typically lead to a longer wait time.

3. The number of students enrolled in a school and the number of unused lockers at the school - These are likely related; as enrollment increases, one would expect fewer unused lockers, but there can still be a certain number of unused lockers regardless of enrollment, indicating a possible relationship.

4. The population of a city and the number of letters in the city's name - There is no inherent relationship between the population size and the length of the city's name. The number of letters is a fixed attribute that does not change based on population.

Therefore, the option that would likely show NO relationship is:

The population of a city and the number of letters in the city's name.