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 car’s stopping distance (in feet) for each volunteer. The value of r for the scatterplot is 0.935. How would the correlation change if the stopping distances were recorded in meters, rather than feet? The value of the correlation coefficient would not change. Since the points would be more spread out, the value of the correlation coefficient would decrease. Since the number of meters would be less than the number of feet, the value of the correlation coefficient would increase. Since the number of meters would be less than the number of feet, the value of the correlation coefficient would decrease.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1TI: Using the data in Table 1 at the beginning of this section, find the average rate of change between...
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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 car’s stopping distance (in feet) for each volunteer. The value of r for the scatterplot is 0.935.

How would the correlation change if the stopping distances were recorded in meters, rather than feet?

The value of the correlation coefficient would not change.
Since the points would be more spread out, the value of the correlation coefficient would decrease.
Since the number of meters would be less than the number of feet, the value of the correlation coefficient would increase.
Since the number of meters would be less than the number of feet, the value of the correlation coefficient would decrease.
Driving Reaction Times
80
60
40
0.5
1
1.5
2
2.5
Reaction Time (Seconds)
Stopping Distance (Feet)
20
Transcribed Image Text:Driving Reaction Times 80 60 40 0.5 1 1.5 2 2.5 Reaction Time (Seconds) Stopping Distance (Feet) 20
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