Question 21

Distance traveled and fuel used exhibit a positive correlation.

As the distance traveled increases, the amount of fuel used typically increases as well, demonstrating a positive correlation between these two variables.

A) Temperature and heater usage

This option suggests that as temperature increases, heater usage decreases, indicating a negative correlation. Therefore, this pair does not exhibit a positive correlation.

B) Distance traveled and fuel used

This option correctly identifies a positive correlation, as longer distances generally require more fuel. The relationship is direct: the more one drives, the more fuel is consumed.

C) Stock market goes down, people lose money

While this statement reflects a negative outcome associated with the stock market's performance, it does not establish a positive correlation between two variables. Instead, it illustrates a negative impact rather than a correlation.

D) Age and life expectancy

Although one might assume there is a correlation, this relationship is not strictly positive due to factors such as health issues and unexpected events that can affect life expectancy. Therefore, it does not consistently show a positive correlation across all ages.

Conclusion

The correct answer, distance traveled and fuel used, clearly demonstrates a positive correlation, as increased distance leads to increased fuel consumption. In contrast, the other options either indicate negative correlations or do not consistently represent positive relationships between their respective variables.