NAME DATE PERIOD Lesson 1 Skills Practice - K Adams Math

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Scatter Plots

Explain whether the scatter plot of the data for each of the following shows a positive, negative, or no association. Interpret the scatter plot.

1.

y

20

Water Draining from Bathtub (gallons)

15

10

5

x 0 2 4 6 8 10 12 14 16 18

Time (Minutes)

2.

y

9

8

7

Books Read

6

5

4

3

2

1 x

0 123456789

Shoe Size

3.

y

40

Test Score

30

20

10

x

0

1234

TV Time (hours per night)

4.

y

45

40

Total Points Scored

35

30

25

20

15

10

5 x

0 123456789

Games Played

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

5. E-MAIL Construct a scatter plot of the number of E-mails Vincent received over the past six days. Interpret the scatter plot.

Day 1 2 3 4 5 6 E-mails 16 21 3 11 19 5

130

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Homework Practice

Scatter Plots

Games Won Car Value (% cost new)

Pumpkin Weight (pounds)

Interpret each scatter plot.

1.

y

2.

10

8

6

4

2 x

0 100 200 300 400 500 Average Game Attendance

100 y

3.

90

80

70

60

50

40

30

20

10 x

0 2 4 6 8 10 Car Age (yr)

50 y 40

30

20

10 x

0 30 60 90 120150 Growth Time (days)

4. RIVER Construct a scatter plot of the river's width and the water's speed.

River Width (m)

15 18 20 28 30 32 38 40 42 45

Water Speed (km/h) 12.6 10.7 11.2 9.7 8.1 8.7 6.9 5.4 3.9 4.1

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

5. DONATIONS Construct a scatter plot of the number of cars donated to a local charity over the past five years since 2007. Years Since 2007 1 2 3 4 5 Number of Cars 14 21 30 28 35

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

129

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Skills Practice

Lines of Best Fit

1. BOATING Rehan's yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The table shows how many passengers are on board during each hour of boating.

Hour

1234 5

Passengers 30 40 32 40 55

a. Construct a scatter plot of the data. Then draw and assess a line that seems to best represent the data.

b. Use the line of best fit to make a conjecture about the number of passengers on the boat during hour 8.

Number of Passengers

y 90 80 70 60 50 40 30 20 10

x 0 123456789

Hour

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

2. RESALE VALUE The table shows the resale value of six SUVs plotted against the age of the vehicle.

Age (yr)

123456

Value ($1,000) 24 22 19 17 16 13

a. Construct a scatter plot of the data. Then draw and assess a line that seems to best represent the data.

b. Use the line of best fit to estimate the resale value of a 7-year-old SUV.

SUV Value ($1,000)

y 20

10

x 0 123456789

Age (yr)

3. BIRD WATCHING Sage belongs to a bird-watching club. Every two days, she goes out and

counts the number of Black-hooded Parakeets she sees. The scatter plot shows the

number of parakeets she saw in the past 12 days.

a. Write an equation in slope-intercept form for

y 18

Black-hooded Parakeets Seen

the line that is drawn.

16

14

12

b. Use the equation to make a conjecture

10 8

about the number of parakeets she saw on

6

the eighteenth day.

4

2 x

0 2 4 6 8 10 12 14 16 18

Days

132

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Homework Practice

Lines of Best Fit

1. BALLOONS Salina is having a surprise party for her friend Ernie. The table shows how many balloons she has been able to blow up by the end of each 10-minute segment.

Time (min) 10 20 30 40 50 Balloons 3 12 15 16 21

a. Construct a scatter plot of the data. Then draw and assess a line that seems to best represent the data.

b. Use the line of best fit to make a conjecture about the number of balloons she will have blown up at the end of 70 minutes.

Number of Balloons

y 34 32 28 24 20 16 12

8 4

x 0 10 20 30 40 50 60 70 80 90

Time (min)

2. COMIC BOOKS Sidney is selling his comic book collection on the Internet. The scatter plot shows how many comic books he has left at the end of each day.

a. Write an equation in slope-intercept form for the line that is drawn.

b. Use the equation to make a conjecture about the number of comic books he will have at the end of the seventh day.

Comic Books Left

y 90 80 70 60 50 40 30 20 10

x 0 123456789

Days

3. ICE RINK Maury has an ice rink in his back yard. The scatter plot shows the thickness of the ice relative to the temperature.

a. Write an equation in slope-intercept form for the line that is drawn.

b. Use the equation to make a conjecture about the

1 3

inches.

Temperature (?F)

0

1 2 3 4 5 6 7 8 9y

Ice Thickness (in.)

1

2

3

x

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

131

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Skills Practice

Two-Way Tables

For Exercises 1 and 2, construct a two-way table summarizing each set of data.

1. There are 195 male and 126 female students at McGuffey Junior High. A survey showed that 110 males and 84 females ride the bus.

Males Females Total

Bus

Not Bus

Total

2. The two-way table shows the enrollment in language classes at Carson Middle School. Find and interpret the relative frequencies of students in the survey by row. Round to the nearest hundredth if necessary.

Spanish

Not Spanish

Total

Chinese

30

65

95

Not Chinese 20

5

25

3. Refer to the table in Exercise 2. Find and interpret the relative frequencies of students in the survey by column. Round to the nearest hundredth if necessary.

Spanish

Not Spanish

Chinese

30

65

Not Chinese 20

5

Total

50

70

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

134

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Homework Practice

Two-Way Tables

For Exercises 1-6, use the Venn diagram at the right and the information below.

The Venn diagram compares the roller coasters at an amusement park as to whether or not they are made of steel and whether or not they have loops.

Steel

Loops

2

6

4

2

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

1. Complete the two-way table below.

Loops No Loops

Total

Steel

Not Steel

Total

2. How many roller coasters are at the amusement park?

3. Find the relative frequencies from the 4. Interpret the relative frequencies you

table in Exercise 1 by row.

found in Exercise 3.

Loops

Steel Not Steel

6 10

=

0.60

Total

No Loops

5. Find the relative frequencies from the 6. Interpret the relative frequencies you table in Exercise 1 by column. Round to found in Exercise 5. the nearest hundredth if necessary.

Loops

Steel Not Steel

6 8

=

0.75

No Loops

Total

Course 3 ? Chapter 9 Scatter Plots and Data Analysis

133

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