The Relationship between Two Quantitative Variables Answers

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

Real estate agents in a county with a large, urban residential area noticed that families with larger incomes tend to live in homes that sell for higher prices.

Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief.

At a dome-style football stadium, sports analysts noticed that as the distance of a field-goal attempt increased, the success rate of a field-goal attempt decreased.

Football coaches running their summer practices noticed that the players who weighed more typically had slower times for their 40-yard dash.

Among players drafted to play professional football, it seems as though those who weigh more tend to have slower 40-yard dash times. The data in the table show various weights (in pounds) and 40-yard dash times (in seconds) for a sample of football players.

Medical researchers noticed that when the amount of the active ingredient within a patient’s allergy medicine is increased, the patients taking that medicine report higher levels of relief from their allergy symptoms. The data in the table show various levels of the active ingredient (in milligrams) and a score (from 0 to 10) indicating the level of allergy relief experienced for a sample of patients.

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

Auto technicians working at a shop in a rural residential area noticed that the depth of tire treads was smaller among cars that have more miles on the odometer.

The scatterplot illustrates the relationship between two quantitative variables: the amount of an active ingredient in a medicine and the level of pain relief (on a scale of 1 to 10).