AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Comparing Data Sets

Strength of Correlation Answers

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The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.

A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation,and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
2
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Ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails.

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A
It is a weak negative correlation, and it is not likely causal.
B
It is a weak negative correlation, and it is likely causal.
C
It is a strong negative correlation, and it is not likely causal.
D
It is a strong negative correlation, and it is likely causal.
3

Which relationships would most likely be causal? Select two options.a negative correlation between the temperature and the amount of snow still on the grounda negative correlation between the number of digital photos uploaded to a website and the amount of storage space that is lefta positive correlation between the length of the side of a pool and its deptha positive correlation between the height of a woman and the height of her brothera negative correlation between the volume of water in a pot and the amount of time that the water takes to boil

A
a negative correlation between the temperature and the amount of snow still on the ground
B
a negative correlation between the number of digital photos uploaded to a website and the amount of storage space that is left
C
a positive correlation between the length of the side of a pool and its depth
D
a positive correlation between the height of a woman and the height of her brother
E
a negative correlation between the volume of water in a pot and the amount of time that the water takes to boil
4

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show an upward trend.

Question illustration
A
–0.65
B
–0.19
C
0.19
D
0.75
5

The table shows the shipping costs for items of different values.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
6

Which relationships would most likely be causal? Select two options.

A
a positive correlation between the number of homework assignments completed and the grade on the exam
B
a positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikers
C
a positive correlation between a child’s shoe size and reading speed
D
a negative correlation between the time a glass of ice water sits on the counter and its temperature
E
a positive correlation between the number of students attending football games and the number of games that are won
7

Which r-value represents the strongest correlation?

A
–0.83
B
–0.67
C
0.48
D
0.79
8

A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.

Question illustration
A
1
B
-1
C
5
D
10
9

Which r–value represents the strongest negative correlation?

A
–0.7
B
–0.22
C
0.38
D
0.9
10

Which r-value represents the most moderate correlation?

A
–0.92
B
–0.18
C
0.56
D
0.83
11

The table shows the time a patient spends at the dentist and the amount of the bill.

Question illustration
A
–0.93
B
–0.27
C
0.27
D
0.93
12

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show a downward trend.

Question illustration
A
–0.91
B
–0.35
C
0.35
D
0.91
13

The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is –0.26.

A
It is a weak negative correlation, and it is not likely causal.
B
It is a weak negative correlation, and it is likely causal.
C
It is a strong negative correlation, and it is not likely causal.
D
It is a strong negative correlation, and it is likely causal.
14

Which best describes the strength of a model with an r-value of 0.29?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
15

Which graph shows data whose r-value is most likely closest to 0?

A
A graph shows both axes unnumbered. Points show a downward trend.
Option A
B
A graph shows both axes unnumbered. Points show an upward trend.
Option B
C
A graph shows both axes unnumbered. Points show a downward trend.
Option C
D
A graph shows both axes unnumbered. Points are scattered all over the graph.
Option D
16

A financial advisor studies the relationship between the number of missed credit card payments and a person’s credit score. The scatterplot shows points tightly clustered around a downward-sloping line.

A
–0.91
B
–0.18
C
0.24
D
0.87
17

Over five different weeks, Maria tracked how much money she spent on dining out and how much money she saved.Amount Spent on Dining Out ($)Amount Saved That Week ($)20150451106095351307580

A
There is a strong negative relationship.
B
There is a strong positive relationship.
C
There is a weak positive relationship.
D
There is little to no linear relationship.

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