AnswersMathematics 8Data Analysis and Displays

Data Analysis and Displays — Test Answers

24 verified answers
1
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Which expression can be simplified to find the slope of the trend line in the scatterplot?

A
the fraction with numerator 8 minus 4 and denominator 35 minus 21
B
the fraction with numerator 35 minus 21 and denominator 8 minus 4
C
the fraction with numerator 21 minus 35 and denominator 8 minus 4
D
the fraction with numerator 8 minus 4 and denominator 21 minus 35
2
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Which statement about the scatterplot is true?

A
In general, the number of hours spent on chores is equal to the number of hours spent on reading.
B
As the number of hours of reading increases, the number of hours spent on chores increases.
C
As the number of hours of reading increases, the number of hours spent on chores decreases.
D
In general, the number of hours of reading does not affect the number of hours used for chores.
4

Subash created the given two-way table. Teams Team A Team B Total Boys 15 18 33 Girls 17 31 Total 32 32 According to the table, how many girls were on team B?

A
15
B
14
C
18
D
17
5

The band at Hawthorne Middle School consists of students in the sixth, seventh, and eighth grades. Student participation in the band is described by the given two-way table. Student Participation in the Band at Hawthorne Middle School In the Band Not in the Band Grade 6 19 243 Grade 7 15 237 Grade 8 17 241 What is the total number of students in the school band?

A
670
B
19
C
772
D
51
6

Elena set up a two-way table to describe menu options at a dinner she hosted. Which could be the rows in her table?

A
non-vegetarian; doesn’t like spicy food
B
vegetarian; likes spicy food
C
vegetarian; non-vegetarian
D
non-vegetarian; likes spicy food
7

The given two-way table describes the practice habits of members of the school band and choir. Practice Habits of School Musicians Less than 30 Minutes per Day At Least 30 Minutes per Day Band Students 38 26 Choir Students 18 12 Which statement best describes the relationship between the two variables?

A
There is no association because the relative frequencies by row are similar.
B
There is an association because the relative frequencies by row are different.
C
There is an association because the relative frequencies by row are similar.
D
There is no association because the relative frequencies by row are different.
8

Mrs. Suyata assigned her third- and fourth-period math classes into two study groups. Which describes the variables in the two-way table? Group Assignments Group 1 Group 2 Total 3rd Period 18 14 32 4th Period 15 17 32 Total 33 31 64

A
study group number and total
B
period number and study group number
C
study group number and period 3
D
period number and group 1
9

Which statement is true about a trend line?

A
A trend line represents only the smallest data points.
B
A regression line and trend line are equivalent terms.
C
A trend line represents only the largest data points.
D
A regression line and a trend line are opposite terms.
10

Which scatterplot displays an example of a cluster?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that do not form a recognizable pattern.
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that do not form a recognizable pattern.
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that do not form a recognizable pattern.
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that generally fall on a line segment that starts 3 units right and 3 units up from the origin and ends 6 units right and 5 units up from the origin.
11

Loren solved the equation 10 is equal to 19 ninths times 149 plus b for b as part of her work to find the equation of a trend line that passes through the points open paren 1 comma 130 close paren and open paren 10 comma 149 close paren What error did Loren make?

A
She should have 1 is equal to 19 ninths times 130 plus b solved for b .
B
She should have solved 130 is equal to 9 over 19 times 1 plus b for b .
C
She should have solved 10 is equal to 9 over 19 times 149 plus b for b .
D
She should have solved 149 is equal to 19 ninths times 10 plus b for b .
12

Trevor surveyed attendees at a comic book convention about the distance they lived from the convention center and the type of ticket they purchased for the event. The data he gathered is shown in the given two-way table. Tickets Bought for Comic Convention Live within 20 Miles of Convention Center Live Farther than 20 Miles from Convention Center One-Day Ticket 74 33 Multi-Day Ticket 18 12 How many people did Trevor survey?

A
107
B
92
C
74
D
137
13

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?

A
the oval method
B
the regression calculator method
C
the divide-center method
D
the area method
14

Which of the following scatterplots would have a trend line with a negative slope?

A
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 4 point 2 5. There is a table entry 2 and 2 point 5. There is a table entry 0 point 5 and 4 point 7 5. There is a table entry 0 point 75 and 3 point 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
B
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 3. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 3 point 2 5. There is a table entry 2 point 5 and 3 point 2 5. There is a table entry 2 and 3 point 7 5. There is a table entry 0 point 5 and 3 point 5. There is a table entry 0 point 7 5 and 3 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
C
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 4 point 5. There is a table entry 1 point 5 and 5 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 5. There is a table entry 3 and 3 point 7 5. There is a table entry 3 point 5 and 3 point 5. There is a table entry 3 point 5 and 4 point 2 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
D
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 1 point 2 5. There is a table entry 2 point 5 and 2 point 2 5. There is a table entry 2 and 1 point 7 5. There is a table entry 0 point 5 and 0 point 5. There is a table entry 0 point 7 5 and 0 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
15

Which describes a correct way to construct a scatterplot?

A
When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
B
When analyzing the number of registered voters by age, age is the dependent variable.
C
When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
D
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.
16

Which scatterplot shows an outlier?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 10 data points concentrated near the bottom left corner of the quadrant.
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 9 data points concentrated near the bottom left corner of the quadrant. There is one data point near the top right corner of the quadrant.
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 6 data points that form a straight line.
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 8 data points that form a straight line.
17

Which of the following scatterplots do not show a clear relationship and would not have a trend line?

A
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 2 point 2 5. There is a table entry 2 point 5 and 2 point 2 5. There is a table entry 2 and 1 point 7 5. There is a table entry 0 point 5 and 0 point 5. There is a table entry 0 point 75 and 0 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
B
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 0 point 5. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 2 point 2 5. There is a table entry 2 point 5 and 2 point 2 5. There is a table entry 2 and 1 point 5. There is a table entry 0 point 5 and 0 point 7 5. There is a table entry 0 point 7 5 and 1. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
C
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 4 point 2 5. There is a table entry 2 and 2 point 5. There is a table entry 0 point 5 and 4 point 7 5. There is a table entry 0 point 75 and 3 point 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
D
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 3. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 2 point 2 5. There is a table entry 2 point 5 and 2. There is a table entry 2 and 2 point 7 5. There is a table entry 0 point 5 and 3 point 5. There is a table entry 0 point 75 and 3 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.
18

Yvonne made the given two-way table showing students’ favorite fruits. Favorite Fruits Apples Bananas Total Class A 13 20 33 Class B 16 34 Total 31 37 According to the table, how may students in class B prefer apples?

A
13
B
20
C
16
D
18
19

Which is the equation of the trend line that is shown?

A
y is equal to 4 sevenths x minus 1 seventh
B
y is equal to 4 sevenths x plus 1 seventh
C
y is equal to 1 seventh x plus 16 sevenths
D
y is equal to 1 seventh x plus 4 sevenths
20

Which scatterplot correctly represents the given table of values?

A
Image with description A scatterplot titled years collecting stamps versus stamps in collection is shown on a first quadrant coordinate plane. The x axis is labeled years collecting stamps and ranges from 0 to 5 in increments of 1. The y axis is labeled stamps in collection and ranges from 0 to 250 in increments of 25. There is a point at (2 comma 100). There is a point at (3 comma 100). There is a point at (3 comma 150). There is a point at (4 comma 150). There is a point at (4 comma 175). There is a point at (5 comma 175).
B
Image with description A scatterplot titled years collecting stamps versus stamps in collection is shown on a first quadrant coordinate plane. The x axis is labeled years collecting stamps and ranges from 0 to 5 in increments of 1. The y axis is labeled stamps in collection and ranges from 0 to 250 in increments of 25. There is a point at (2 comma 100). There is a point at (3 comma 100). There is a point at (3 comma 125). There is a point at (4 comma 150). There is a point at (4 comma 175). There is a point at (5 comma 175).
C
Image with description A scatterplot titled years collecting stamps versus stamps in collection is shown on a first quadrant coordinate plane. The x axis is labeled years collecting stamps and ranges from 0 to 5 in increments of 1. The y axis is labeled stamps in collection and ranges from 0 to 250 in increments of 25. There is a point at (2 comma 75). There is a point at (3 comma 100). There is a point at (3 comma 125). There is a point at (4 comma 150). There is a point at (4 comma 175). There is a point at (5 comma 175).
D
Image with description Scatterplot titled Years Collecting Stamps vs. Stamps in Collection. The horizontal axis is labeled Years collecting stamps and the vertical axis is labeled Stamps in collection. The x-axis ranges from 0 to 5, with visible labels at 2 and 4. The y-axis ranges from 0 to 200, with visible labels at 50, 100, 150, and 200. Points are plotted at (2 comma 100), (3 comma 100), (3 comma 125), (4 comma 150), (4 comma 175), and (5 comma 200).
21

Which statement is correct based on the scatterplot?

A
There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying.
B
There is a relationship between study hours and test score. As the hours of studying increase, the test scores decrease.
C
There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase.
D
There is no relationship between hours studying and test score because the points do not form a straight line.

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