The Relationship between Two Quantitative Variables

Question 1

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

Revolt · Accepted Answer

Explanatory variable: player weightResponse variable: player 40-yard-dash time

Question 2

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.

Revolt · Accepted Answer

A graph titled active ingredient and allergy relief has active ingredient (milligrams) on the x-axis, and relief score on the y-axis. Points match those in the table.

Question 3

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.

Revolt · Accepted Answer

A graph titled Weight and 40-yard dash times has weight (pounds) on the x-axis, and 40-yard time (seconds). Points are at (4.52, 190), (4.32, 191), (4.48, 180), (4.54, 200), (4.51, 188), (4.39, 180), (4.5, 180), (4.43, 200), (4.53, 191).

Question 4

Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend less time exercising.

Revolt · Accepted Answer

Explanatory variable: time spent streaming videosResponse variable: time spent exercising

Question 5

The scatterplot illustrates the relationship between distance and success rate of field-goal attempts for a sample of football kickers.

Revolt · Accepted Answer

strong and negative.

Question 6

During a particularly dry growing season in a southern state, farmers noticed that there is a delicate balance between the number of seeds that are planted per square foot and the yield of the crop in pounds per square foot. The yields were the smallest when the number of seeds per square foot was either very small or very large.

Revolt · Accepted Answer

number of seeds planted per square foot

Question 7

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

Revolt · Accepted Answer

A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.

Question 8

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.

Revolt · Accepted Answer

Explanatory variable: miles on the car odometerResponse variable: depth of tire tread

Question 9

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.

Revolt · Accepted Answer

concentration of active ingredient

Question 10

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

Revolt · Accepted Answer

A graph has x on the x-axis, and y on the y-axis. Points increase tightly together.

The Relationship between Two Quantitative Variables Answers

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