Correlation

Question 1

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 2

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 3

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 4

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.

Question 5

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 6

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 7

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).

Revolt · Accepted Answer

positive and nonlinear.

Question 8

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.

Revolt · Accepted Answer

Explanatory variable: distance of field-goal attemptResponse variable: success rate of field-goal attempt

Question 9

Among football field-goal kickers, the rate of success for field-goal attempts tends to decrease as the distance for the field-goal attempt increases. The data in the table show various field-goal attempt distances and the success rate at those distances.

Revolt · Accepted Answer

A graph titled field-goal distance and success rate has distance (yards) on the x-axis, and success rate (percentage) on the y-axis. The points decreases in a line with negative slope. The points match those in the table.

Question 10

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.

Revolt · Accepted Answer

Explanatory variable: family incomeResponse variable: price of the home

Correlation Answers

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