Answers2025-2026 TPS CR Algebra 1 BConstructing Scatterplots

Constructing Scatterplots — Unit test Answers

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1
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Which scatterplots have a nonlinear association? Select three options.

A
On a graph, points form a curved line.
Option A
B
On a graph, points form a curved line.
Option B
C
On a graph, points are grouped together to form a vertical cluster.
Option C
D
On a graph, points form a curved line.
Option D
E
On a graph, points are scattered all over the graph.
Option E
2
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A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship are true? Check all that apply.

A
The data set would have a linear association.
B
The data set would have a nonlinear association.
C
The data set would have a positive correlation.
D
The data set would have a negative correlation.
E
Every student earns 16 more points for each additional hour they study.
F
Students that study more tend to earn better grades on the test.
3

Which characteristics describe the scatterplot? Check all that apply.

Question illustration
A
negative correlation
B
positive correlation
C
strong association
D
weak association
E
linear
F
nonlinear
4

Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry code. How many different combinations are possible, if the digits can be repeated?

A
27
B
30
C
729
D
1,000
5

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Question illustration
A
StartFraction 2 minus 8 Over 78 minus 87 EndFraction
Option A
B
StartFraction 78 minus 87 Over 8 minus 2 EndFraction
Option B
C
StartFraction 78 minus 8 Over 87 minus 2 EndFraction
Option C
D
StartFraction 8 minus 2 Over 78 minus 87 EndFraction
Option D
6

Which describes dependent events?

A
drawing a blue marble and then a yellow marble without replacement from a bag of marbles.
B
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
C
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
D
flipping two coins at the same time and getting heads on one and tails on the other
7

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.

Question illustration
A
rolling a sum of 4
B
rolling a sum of 9
C
rolling a sum that is less than 5
D
rolling a sum that is greater than 5 but less than 7
E
rolling a sum that is greater than 9 but less than 11
8

What type of association is shown by the scatterplot?

Question illustration
A
linear, strong
B
linear, weak
C
nonlinear, strong
D
nonlinear, weak
9

Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?

A
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 2), (4, 1).
Option A
B
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 3), (2, 3), (3, 3), (4, 3).
Option B
C
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 4), and (4, 3).
Option C
D
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 1), (2, 2), (3, 3), (4, 4).
Option D
10

Which describes a correct way to construct a scatterplot?

A
When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B
When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C
When analyzing the number of registered voters by age, age is the dependent variable.
D
When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
11

The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel y miles. The scatterplot below represents the situation.TravelBased on the information above, how many miles should a person who drives for 48 minutes expect to travel?

Question illustration
A
32 miles
B
42 miles
C
48 miles
D
54 miles
12

Angelique makes beaded jewelry. The graph below shows the number of beads used for varying cord lengths.JewelryAngelique has a cord that is 32 inches long. Based on the information above, which is the best estimate for the number of beads she can use?

Question illustration
A
12
B
68
C
82
D
132
13

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct?

A
The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
B
The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
C
The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
D
The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.
14

The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.What is the probability of getting a number less than 3 and a tails?

Question illustration
A
StartFraction 1 over 12 EndFraction
Option A
B
StartFraction 1 over 6 EndFraction
Option B
C
One-fourth
Option C
D
One-third
Option D
15

The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class. Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?

Question illustration
A
5
B
6
C
7
D
8

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