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Chapter 15 Skills Practice • 879
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Lesson 15.1 Skills Practice
Name ________________________________________________________ Date _________________________
Making a QuiltScatter Plots and Non-Linear Data
VocabularyDefine the term in your own words.
1. non-linear association
Problem SetWrite each set of ordered pairs from the table.
1. x y
1 3
2 6
3 9
2. x y
0 5
2 7
4 9
(1, 3), (2, 6), (3, 9)
3. x y
1 9
3 13
7 21
12 31
4. x y
2 1
3 4
6 13
11 28
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Lesson 15.1 Skills Practice page 2
5. x y
21 145
33 99
45 62
57 50
6. x y
10 200
9 125
8 70
7 0
Create a scatter plot of the ordered pairs in each table.
7. Create a scatter plot that shows the length of the patio as a function of the patio’s width.
Width of Patio Length of Patio
(in feet) (in feet)
6 12
8 16
10 20
12 24
20
04 6 8 10 12 14 16 18 20
3
6
9
12
15
18
21
24
27
30
Width of Patio (in feet)
Leng
th o
f Pat
io (
in fe
et)
x
y
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Lesson 15.1 Skills Practice page 3
Name ________________________________________________________ Date _________________________
8. Create a scatter plot that shows the perimeter of the door as a function of its length.
Length of Door Perimeter of Door
(in inches) (in inches)
76 204
80 220
84 236
88 252
9. Create a scatter plot that shows the amount of money earned as a function of the time worked.
Time Worked Money Earned
(in hours) (in dollars)
10 85
15 127.5
25 212.5
40 340
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Lesson 15.1 Skills Practice page 4
10. Create a scatter plot that shows the profit as a function of the number of T-shirts sold.
T-shirts Sold Profit
T-shirts (in dollars)
100 500
200 2000
350 4250
650 8750
11. Create a scatter plot that shows the area of the picture frame as a function of its width.
Width of Picture Frame
Area of Picture Frame
(in inches) (in square inches)
5 35
8 89.6
10 140
15 315
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Lesson 15.1 Skills Practice page 5
Name ________________________________________________________ Date _________________________
12. Create a scatter plot that shows the area of the floor as a function of its length.
Length of Floor Area of Floor
(in feet) (in square feet)
10 80
12 120
14 168
16 224
13. Create a scatter plot that shows the area inside of the fence as a function of its perimeter.
Perimeter of Fence
Area Inside of Fence
(in meters) (in square meters)
10 100
15 225
20 400
25 625
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Lesson 15.1 Skills Practice page 6
14. Create a scatter plot that shows the area of the poster as a function of its perimeter.
Perimeter of Poster
Area of Poster
(in inches)(in square
inches)
10 200
12 288
16 512
20 800
Use a ruler to draw a line of best fit on each graph.
15.
2 4 6 8 10 12 14 16 18 20
1
2
3
4
5
6
7
8
9
10
Length (in meters)
Wid
th (
in m
eter
s)
y
x0
0
16.
1 2 3 4 5 6 7 8 9 10
3
6
9
12
15
18
21
24
27
30
Width (in inches)
Leng
th (
in in
ches
)
y
x0
0
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Name ________________________________________________________ Date _________________________
17.
1 2 3 4 5 6 7 8 9 10
2000
4000
6000
8000
10,000
12,000
14,000
16,000
18,000
20,000
Time (in years)
Sal
es (
in d
olla
rs)
y
x0
0
18.
2 4 6 8 10 12 14 16 18 20
100
200
300
400
500
600
700
800
900
1000
Time (in months)P
rofit
(in
dol
lars
)
y
x0
0
A scatter plot and its line of best fit are shown on each graph. Write the equation of the line of best fit.
19.
5 10 15 20 25 30 35 40 45 50
200
400
600
800
1000
1200
1400
1600
1800
2000
Ticket Price (in dollars)
Atte
ndan
ce
x
y
00
20.
200 400 600 800 1000
200
400
600
800
1000
1200
1400
1600
1800
2000
Number of Units Produced
Ope
ratin
g C
osts
(in
dol
lars
)
x
y
00
Line of best fit should be close to
y 5 243x 1 2329.
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Lesson 15.1 Skills Practice page 8
21.
1000500 1500 2000 2500
2000
4000
6000
8000
10,000
12,000
14,000
16,000
18,000
20,000
Number of Units Sold
Rev
enue
(in
dol
lars
)
x
y
00
22.
1 2 3 4 5 6 7 8 9 10
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
Time (in years)P
opul
atio
n
y
x0
0
Create a scatter plot of the ordered pairs in each table and draw a smooth curve through the points.
23.
Width Area
(in centimeters) (in square centimeters)
1 3
2 12
4 48
6 108
7 147
8 192
1 2 3 4 5 6 7 8 9 10
20
40
60
80
100
120
140
160
180
200
Width (in centimeters)
Are
a (in
squ
are
cent
imet
ers)
y
x0
0
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Lesson 15.1 Skills Practice page 9
Name ________________________________________________________ Date _________________________
24. Length Area
(in feet) (in square feet)
0 0
5 20
10 80
15 180
20 320
25 500
25. Length Area
(in meters) (in square meters)
2 4
3 9
4 16
5 25
6 36
7 49
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Lesson 15.1 Skills Practice page 10
26. Width Area
(in inches) (in square inches)
1 6
3 24
5 50
6 66
8 104
10 150
Determine whether the scatter plot represents a linear relationship, a non-linear relationship,
or no relationship.
27. 28.
linear relationship
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Lesson 15.1 Skills Practice page 11
Name ________________________________________________________ Date _________________________
29. 30.
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What Do You Like to Play?Using Two-Way Tables to Display Two-Variable Data Sets
VocabularyDefine each term in your own words.
1. categorical data
2. two-way table
3. frequency
4. relative frequency
Lesson 15.2 Skills Practice
Name ________________________________________________________ Date _________________________
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Lesson 15.2 Skills Practice page 2
Problem SetJuanita took a survey of her classmates. The data from the survey are shown in the table.
Name GenderMusic
PreferenceName Gender
Music Preference
Amos M Hip-Hop Odell M Rock
Sherwin M Hip-Hop Chen M Rock
Luis M Rock Althea F Hip-Hop
Mattie F Hip-Hop Ty M Alternative
Chanise F Hip-Hop Natsu M Hip-Hop
Jin F Hip-Hop Olivia F Hip-Hop
Manuel M Country Ronna F Alternative
Cristina F Rock Jada F Hip-Hop
Rita F Rock Noah M Hip-Hop
Hector M Country Lee M Rock
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Lesson 15.2 Skills Practice page 3
Name ________________________________________________________ Date _________________________
1. Construct a two-way table for the data using tally marks.
Student’s Music Preference
Music Type
Gen
der
Alternative Country Hip-Hop Rock
Male | | | | | | | | | | |
Female | | | | | | | |
2. Construct a two-way table for the data using the frequency of each variable.
Student’s Music Preference
Music Type
Gen
der
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Lesson 15.2 Skills Practice page 4
3. How many males were surveyed?
4. How many students were surveyed?
5. How many students prefer Hip-Hop music?
6. How many students prefer Alternative music?
7. Which type of music is the most favorite of the students?
8. Which type of music is the least favorite of the females?
9. Which type of music is the most favorite of the males?
10. Which type of music is the least favorite of the students?
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Lesson 15.2 Skills Practice page 5
Name ________________________________________________________ Date _________________________
Rodell took a survey of his classmates. The data from the survey are shown in the table.
Name GenderFavorite Lunch
Name GenderFavorite Lunch
Pedro M Pizza Ho M Pizza
Rosa F Pizza Lakyta F Salad
Haru M Pizza Jerome MChicken Nuggets
Joelle F Salad Gerain MChicken Nuggets
Shawna FChicken Nuggets
Franco MPeanut
Butter & Jelly
Odell MPeanut
Butter & Jelly
Tameca F Salad
Vance MPeanut
Butter & Jelly
Denisa F Pizza
Carmen FPeanut
Butter & Jelly
Nina F Pizza
Clayton M Pizza Elesha FChicken Nuggets
Hisa FChicken Nuggets
Mei F Salad
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Lesson 15.2 Skills Practice page 6
11. Construct a two-way table for the data using tally marks.
Student’s Lunch Preference
Lunch Options
Gen
der
Chicken Nuggets
Peanut Butter &
JellyPizza Salad
Male | | | | | | | | |
Female | | | | | | | | | | |
12. Construct a two-way table for the data using the frequency of each variable.
Student’s Lunch Preference
Lunch Options
Gen
der
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Lesson 15.2 Skills Practice page 7
Name ________________________________________________________ Date _________________________
13. How many females were surveyed?
14. How many students were surveyed?
15. How many students prefer salad for lunch?
16. Which lunch option is the most favorite of the students?
17. Which lunch option is the most favorite of the males?
18. Which lunch option is the most favorite of the females?
19. Which lunch option is the least favorite of the males?
20. Which lunch option is the least favorite of the females?
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Lesson 15.2 Skills Practice page 8
Isabel surveyed three classes about their favorite season. The data from the survey are shown in the
two-way table.
Student’s Season Preference
Seasons
Cla
sses
Winter Spring Summer Fall Total
Class A 9 2 7 6 24
Class B 2 5 9 4 20
Class C 8 6 10 4 28
Total 19 13 26 14 72
21. Complete the relative frequencies for each row. If necessary, round decimals to the nearest
thousandth.
Student’s Season Preference
Seasons
Cla
sses
Winter Spring Summer Fall Total
Class A 9 ___
24 5 0.375 2 ___
24 < 0.083 7 ___
24 < 0.292 6 ___
24 5 0.25 24 ___
24 5 1
Class B 2 ___ 20
5 0.1 5 ___ 20
5 0.25 9 ___ 20
5 0.45 4 ___ 20
5 0.2 20 ___ 20
5 1
Class C 8 ___ 28
< 0.286 6 ___ 28
< 0.214 10 ___ 28
< 0.357 4 ___ 28
< 0.143 28 ___ 28
5 1
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Lesson 15.2 Skills Practice page 9
Name ________________________________________________________ Date _________________________
22. What percent of students in Class A prefer Summer?
23. What percent of students in Class B prefer Winter?
24. Which class has the smallest percent of students who prefer Fall?
25. Which class has the largest percent of students who prefer Summer?
26. Complete the relative frequencies for each column. If necessary, round decimals to the nearest
thousandth.
Student’s Season Preference
Seasons
Cla
sses
Winter Spring Summer Fall
Class A 9 ___ 19
< 0.474
Class B
Class C
Total
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Lesson 15.2 Skills Practice page 10
27. What percent of the students who prefer Winter are from Class A?
28. What percent of the students who prefer Summer are from Class C?
29. From which class do the smallest percentage of students who prefer Summer come?
30. From which class do the largest percentage of students who prefer Spring come?
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Lesson 15.3 Skills Practice
Name ________________________________________________________ Date _________________________
Got the Data, Show the DataUsing Bar Graphs to Display Frequencies and Relative Frequencies for Two-Variable Categorical Data
Problem SetJada surveyed her classmates about their favorite color. The data from the survey is shown
in the two-way table.
Color Preference of Students
Color
Gen
der
Blue Green Pink Red Total
Male 7 10 0 2 19
Female 3 4 8 6 21
Total 10 14 8 8 40
1. Construct a bar graph of the data shown in the two-way table. Place the Color variable
along the x-axis.
0123456789
10Males
Blue Green Pink Red
Females
Favorite Color of Students
Number of Students
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Lesson 15.3 Skills Practice page 2
2. How many female students were surveyed?
3. How many students prefer green as their favorite color?
4. How many students prefer red as their favorite color?
5. What color is the most favorite of the male students?
6. What color is the least favorite of the female students?
7. Construct a bar graph of the data shown in the two-way table. Place the Gender variable along the
x-axis.
8. How many male students were surveyed?
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Lesson 15.3 Skills Practice page 3
Name ________________________________________________________ Date _________________________
9. How many students prefer blue as their favorite color?
10. How many students prefer pink as their favorite color?
11. What color is the least favorite of the male students?
12. What color is the most favorite of the female students?
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Lesson 15.3 Skills Practice page 4
Leon surveyed three classes about their favorite fruit. The relative frequencies from the survey are
shown in the two-way table.
Fruit Preference of Students
Fruit
Cla
sses
Apple Banana Grapes Orange Total
Class A 0.26 0.42 0.18 0.14 1
Class B 0.36 0.34 0.2 0.1 1
Class C 0.29 0.36 0.1 0.25 1
13. Construct a bar graph of the relative frequencies shown in the two-way table. Place the Classes
variable along the x-axis.
00.10.2
0.3
0.40.5
0.6
0.7
0.80.91.0
Favorite Fruit of Students
Apple
Banana
Grapes
Class A Class B Class C
Orange
Percent of Students
14. Which class has the highest percentage of students who prefer bananas?
15. Which class has the highest percentage of students who prefer oranges?
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Lesson 15.3 Skills Practice page 5
Name ________________________________________________________ Date _________________________
16. Which class has the lowest percentage of students who prefer apples?
Perry surveyed three classes about their favorite sport. The relative frequencies from the survey are
shown in the two-way table.
Sport Preference of Students
Sport
Cla
sses
Football Basketball Soccer Hockey Total
Class A 0.52 0.14 0.12 0.22 1
Class B 0.09 0.3 0.56 0.05 1
Class C 0.15 0.48 0.17 0.2 1
17. Construct a bar graph of the relative frequencies shown in the two-way table. Place the Classes
variable along the x-axis.
00.10.2
0.3
0.40.5
0.6
0.7
0.80.91.0
Favorite Sport of Students
Football
Basketball
Soccer
Class A Class B Class C
Hockey
Percent of Students
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Lesson 15.3 Skills Practice page 6
18. Which class has the highest percentage of students who prefer football?
19. Which class has the highest percentage of students who prefer soccer?
20. Which class has the lowest percentage of students who prefer basketball?
