Question

to investigate the influence of distracted driving, 13 volunteers were asked to participate in a study involving a driving simulator. the participants drove at a safe speed but were told to stop the car at a random moment during the simulation. the scatterplot shows the reaction time and the simulated cars stopping distance, in feet, for each volunteer. which point most likely decreases the correlation shown in the scatterplot? reaction time 0.5 seconds, stopping distance 35 feet reaction time 1.7 seconds, stopping distance 53 feet reaction time 2 seconds, stopping distance 67 feet reaction time 2.1 seconds, stopping distance 60 feet

Explanation:

Step1: Understand the concept of correlation in scatterplot

In a scatterplot, a point that is far from the general trend of the other points (an out - lier) decreases the correlation. The general trend in this scatterplot is that as reaction time increases, stopping distance increases.

Step2: Analyze each option

• For the point with reaction time \(0.5\) seconds and stopping distance \(35\) feet: It follows the trend (lower reaction time, lower stopping distance).
• For the point with reaction time \(1.7\) seconds and stopping distance \(53\) feet: It follows the trend (as reaction time is moderate, stopping distance is moderate).
• For the point with reaction time \(2\) seconds and stopping distance \(67\) feet: It follows the trend (higher reaction time, higher stopping distance).
• For the point with reaction time \(2.1\) seconds and stopping distance \(60\) feet: While reaction time is higher (similar to the reaction time of \(2\) seconds), the stopping distance (\(60\) feet) is much lower than the stopping distance of \(67\) feet (for reaction time \(2\) seconds). This point is an out - lier as it does not follow the increasing trend as closely as the other points.

Answer:

reaction time \(2.1\) seconds, stopping distance \(60\) feet