Correlation — Quiz Answers

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A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x - axis against the number of milligrams of sodium on the y - axis. The value of r for the resulting scatterplot is 0 point 8 3 Which of the following is a correct interpretation of this value?

A
As the number of calories increases, the amount of sodium decreases. The relationship is strong.
B
Each additional calorie is predicted to add approximately 0 point 8 3 mg of sodium.
C
There is a positive relationship between calories and sodium. The relationship is strong.
D
There is a positive relationship between calories and sodium. The relationship is weak.
2
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An investor collects data about 20 companies for potential stock purchasing. For each company, the number of employees is plotted on the x -axis against the stock price on the y -axis. The value of r for the resulting scatterplot is 0.18 Which statement is a correct interpretation of this value?

A
There is a strong negative relationship between the number of employees and the stock price.
B
Since the relationship is weak, adding more employees will decrease the stock price.
C
There is a weak positive relationship between the number of employees and the stock price.
D
Since the relationship is strong, adding more employees will increase the stock price.
3

An entertainment reporter examines the average ticket prices of Broadway shows, comparing them to the number of total performances the shows have had. A resulting scatterplot shows a strong, positive relationship. The value of r for the scatterplot is 0 point 7 6 3 Which statement best explains the relationship between the variables?

A
Less popular shows have higher ticket prices and offer fewer performances.
B
Higher ticket prices cause more performances to be offered.
C
Lower ticket prices cause fewer performances to be offered.
D
More popular shows have higher ticket prices and offer more performances.
4

Which of the following statements accurately describes the relationship shown in the scatterplot?

A
Countries with higher GDPs tend to have higher life expectancies.
B
Countries with higher GDPs tend to have lower life expectancies.
C
Countries with lower GDPs tend to have higher life expectancies.
D
There is little relationship between GDP and life expectancy.
5

How would the value of the correlation coefficient change if the fares were plotted on the x - axis and distances on the y - axis?

A
The value of the correlation coefficient would be closer to 0 .
B
The value of the correlation coefficient would not change.
C
The value of the correlation coefficient would be closer to 1 .
D
The value of the correlation coefficient would be negative 0 point 9 5 0 .
6

Which of the following is a reasonable value for r , given the relationship shown in the scatterplot?

A
negative 0 point 1 9 7
B
0 point 5 2 8
C
0 point 9 0 2
D
negative 0 point 8 9 8
7

How would the correlation change if the graduation rate was plotted on the x - axis and tuition plotted on the y - axis?

A
The correlation would stay the same.
B
The correlation would stay positive and decrease.
C
The correlation would stay positive and increase.
D
The correlation would be negative, rather than positive.
8

Which statement best describes the association shown in the scatterplot?

A
Losses and attendance have a strong, negative association.
B
Losses and attendance have a strong, positive association.
C
Losses and attendance have a weak, negative association.
D
There is no association between losses and attendance.
9

Which of the following is an appropriate summary of the scatterplot?

A
Colleges with higher tuition tend to have higher graduation rates.
B
There is no relationship between tuition and graduation rate.
C
Colleges with lower tuition tend to have higher graduation rates.
D
There is a weak, positive relationship between tuition and graduation rate.

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