AnswersMathematics 8Data Analysis and Displays

Practice Test Answers

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1
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Which expression can be simplified to find the slope of the line of best-fit in the scatterplot shown?

A
the fraction with numerator 4 minus 16 and denominator 134 minus 35
B
the fraction with numerator 134 minus 35 and denominator 16 minus 4
C
the fraction with numerator 134 minus 16 and denominator 35 minus 4
D
the fraction with numerator 4 minus 16 and denominator 35 minus 134
2
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Which statement about the scatterplot is true?

A
Although open paren 2 comma 100 close paren is an extreme value, it should be part of the description of the relationship between the number of roommates and monthly rent.
B
Including the point open paren 2 comma 100 close paren could cause the description of the data set to be understated.
C
Including the point open paren 2 comma 100 close paren could cause the description of the data set to be overstated.
D
The point open paren 2 comma 100 close paren shows that there is no relationship between the number of roommates and monthly rent.
3

A class of eigth graders were asked if they prefer chocolate or vanilla frozen yogurt. The results are summarized in the table. Relative Frequency Table by Row Vanilla Chocolate Total Boys 37 point 6 percent 62 point 4 percent 100 percent Girls 72 point 5 percent 27 point 5 percent 100 percent What conclusion can be drawn using the relative frequencies in the table?

A
A girl in this class is most likely to prefer chocolate.
B
There is no association between the variables.
C
A boy in this class is most likely to prefer vanilla.
D
A boy in this class is most likely to prefer chocolate.
4

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 whether the points on the scatterplot go up or down from left to right.
B
The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.
C
The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
D
The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
5

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
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 3). There is a point at (2 comma 3). There is a point at (3 comma 3). There is a point at (4 comma 3).
B
Image with description A scatter plot on a Cartesian coordinate plane showing a discrete linear relationship. The horizontal axis is labeled x and 'Number of siblings,' with tick marks from 1 to 5 at intervals of 1. The vertical axis is labeled y and 'Grade-point average,' with tick marks from 1 to 5 at intervals of 1. Data points are plotted at (1 comma 1), (2 comma 2), (3 comma 3), and (4 comma 4).
C
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 4). There is a point at (2 comma 3). There is a point at (3 comma 2). There is a point at (4 comma 1).
D
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 4). There is a point at (2 comma 3). There is a point at (3 comma 4). There is a point at (4 comma 3).
6

Proma made the given two-way table showing her friend’s favorite fruit juices. Favorite Juices Grapefruit Juice Orange Juice Total Girls 7 16 Boys 3 14 Total 10 Which shows the correct values for Proma’s friends who prefer orange juice?

A
girls: 23; boys: 17
B
girls: 9; boys: 11
C
girls: 11; boys: 9
D
girls: 17; boys: 23
7

Which statement is true about the purpose of trend lines in scatterplots?

A
A trend line must pass through the smallest data point.
B
A trend line can be used to make predictions in real-world situations.
C
A trend line must pass through the largest data point.
D
A trend line shows the exact data points collected.
8

Which trend line properly describes the data relationship in the scatterplot?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (1 comma 1 point 2). There is a point at (2 comma 2 point 3). There is a point at (3 comma 3 point 2). There is a point at (4 comma 3 point 3). There is a point at (5 comma 4 point 2). There is a point at (6 comma 3 point 8). A line passes through (1 comma 2) and (3 comma 3).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (1 comma 1 point 2). There is a point at (2 comma 2 point 3). There is a point at (3 comma 1 point 2). There is a point at (4 comma 3 point 3). There is a point at (5 comma 4 point 2). There is a point at (6 comma 3 point 8). A line passes through (1 comma 1 point 2) and (6 comma 3 point 9).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (1 comma 1 point 2). There is a point at (2 comma 2 point 3). There is a point at (3 comma 1 point 2). There is a point at (4 comma 3 point 3). There is a point at (5 comma 4 point 2). There is a point at (6 comma 3 point 8). A line passes through (0 comma 4) and (5 comma 1).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (1 comma 1 point 2). There is a point at (2 comma 2 point 3). There is a point at (3 comma 1 point 2). There is a point at (4 comma 3 point 3). There is a point at (5 comma 4 point 2). There is a point at (6 comma 3 point 8). A line passes through (0 comma 5) and (5 comma 2).
9

The given two-way table shows the number of tickets sold for performances to the school play. Tickets Sold, by Performance Time Saturday Sunday 12 pm show 178 211 4 pm show 204 212 8 pm show 212 196 Which statement is best supported by the table?

A
Twenty-six more tickets were sold to the 4 pm shows than to the 12 pm shows.
B
Twenty-five more tickets were sold to the Sunday shows than to the Saturday shows.
C
Twenty-four more tickets were sold to the 8 pm shows than to the 4 pm shows.
D
Twenty-three more tickets were sold to the Sunday 12 pm show than to the Saturday 12 pm show.
10

Esther made the given two-way table showing the number of her schoolmates who have different pets. Students’ Pets Cats Dogs Total 7th Grade 8th Grade 26 35 61 Total 54 48 Which shows the correct values for Esther’s seventh-grade classmates who have pets?

A
cats: 80; dogs: 83
B
cats: 83; dogs: 80
C
cats: 28; dogs: 13
D
cats: 13; dogs: 28
11

How can Amani use the trend line to check the reasonableness of her answer?

A
She should expect the slope to be negative because the line tilts down moving from left to right on the graph.
B
She should expect the slope to be positive because the line has a positive y -intercept.
C
She should expect the slope to be positive because all the plotted points have positive coordinates.
D
She should expect the slope to be negative because more points are below the line than above the line.
12

Which statement about the table is true?

A
There is not a cluster, and as x increases, y increases.
B
There is a cluster, and as x decreases, y increases.
C
There is a cluster, and as x increases, y increases.
D
There is not a cluster, and as x decreases, y increases.

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