School Spirit and Scatter Plots - Chamblee Middle …chambleems.dekalb.k12.ga.us/Downloads/Student...

Chapter 13 Skills Practice • 793

© 2

012

Car

negi

e Le

arni

ng

Lesson 13.1 Skills Practice

Name ________________________________________________________ Date _________________________

School Spirit and Scatter Plots Using Scatter Plots to Display and Analyze Two-Variable Relationships

VocabularyWrite a definition for each term in your own words.

1. scatter plot

2. two-variable data set

3. variable

794 • Chapter 13 Skills Practice

© 2

012

Car

negi

e Le

arni

ng

Lesson 13.1 Skills Practice page 2

Problem SetConstruct a scatter plot or create a table of values for each data set. Describe any pattern you observe.

Circle the third point from the table on the graph and explain what it means.

1. Emma and Linnea, the managers of the girls’ basketball team, have collected information on the

average points scored by each player and the average minutes played by each player.

Average Minutes Played 10 20 15 12 5 8 12 14 9 16 6 3

Average Points Scored 7 14 10 8 3 5 9 9 7 12 4 1

0

2

0

4

6

8

10

12

14

16

18

5 10 15 20

Ave

rag

e P

oin

ts S

core

d

Average Minutes Played

x

yAverage Minutes Played vs.

Average Points Scored

The average points scored seems to increase as the average minutes played increases.

The point (15, 10) means that the average minutes played by one player is 15 minutes and that

same player’s average points scored is 10 points.


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

2. A grocery store tracks the number of gallons of milk it sells each day and the daily price charged

for each gallon.

Number of Gallons Sold

120 90 140 130 80 100 110 150 70

Price per Gallon ($) 2.75 3.30 2.25 2.50 3.50 3.25 3.00 2.00 3.55


© 2

012

Car

negi

e Le

arni

ng


3. A personal trainer tracks the calories burned by his clients for the number of miles they run.

Number of Miles Run

Number of Calories Burned

200

100

210 3 40

5 6

Miles Run

7 8 9 10

300

400

Cal

orie

s B

urne

d

500

600

700

800

900

1000


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

4. Jada, a meteorologist, is studying the average temperatures in the month of June for different

latitudes in the northern hemisphere.

Latitude (degrees) 45 20 60 5 15 25 30 10 50

Average June Temp. (°F) 75 86 50 102 90 84 81 96 68


© 2

012

Car

negi

e Le

arni

ng


5. A mathematics teacher tracked the number of student absences and the students’ math grades

for the year.

Number of Absences

Math Grades (%)

20

10

210 3 40

5 6

Number of Absences

7 8 9 10

30

40

Mat

h G

rad

e (%

)

50

60

70

80

90

100


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

6. Heather, a local real estate agent, has collected data about the average selling price for an acre of

land in her county for various years.

Year 1990 2005 1995 2009 2000 1998 2002 1985 1988 2007

Price Per Acre ($) 1300 1650 1200 1800 1500 1350 1700 1100 1250 1750


© 2

012

Car

negi

e Le

arni

ng


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

Jump In! The Water’s Fine!Interpreting Patterns in Scatter Plots

VocabularyMatch each term to its corresponding definition.

1. independent variable (explanatory variable) a. when points on a scatter plot seem

to form a line

2. dependent variable (response variable) b. when as the independent variable increases

the dependent variable also increases.

3. linear association c. the variable whose value is not determined

by another variable

4. cluster d. a point that varies greatly from the overall

pattern of the data

5. positive association e. when points on a scatter plot are not in a

perfect line but are grouped close to an

imagined line

6. negative association f. the variable whose value is determined by an

independent variable

7. outlier g. when the dependent variable decreases as

the explanatory variable increases


© 2

012

Car

negi

e Le

arni

ng


Problem SetIdentify the dependent and independent variables in each. Determine whether the scatter plot shows

an association or not, and if so, tell if it is positive or negative. State the association in terms of the

variables. Identify any outliers.

1. A teacher surveyed students about the amount of sleep they got the night before the math test.

20

10

210 3 40

5 6

Hours of Sleep

Sleep and Test Scores

7 8 9 10

30

40

Mat

h Te

st S

core

50

60

70

80

90

100

The number of hours of sleep is the independent variable and math test scores is the

dependent variable. There is a linear association between the two variables. There is a

positive association between the two variables. Students’ math test scores increase as the

hours of sleep received increases. The points (5, 100) and (9.5, 70) are potential outliers.


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

2. Suzanne is collecting data for a research paper. She collects the following age and height data

for 10 adults.

Hei

ght

(inc

hes)

Age (years)

x

y Age vs. Height

20

62

60

64

66

68

70

72

74

76

78

30 40 50 60 70


© 2

012

Car

negi

e Le

arni

ng


3. Scientists studying the Bermuda Triangle measured the ocean’s temperature at various depths.

0

35

30

40

45

50

55

60

65

70

75

500 1000 1500 2000

Tem

per

atur

e (°

F)

Depth (feet)

x

y Depth vs. Temperature


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

4. A used car dealership collected data about the age of the cars they sold and the price they sold

them for.

4000

2000

210 3 40

5 6

Age of Car

Used Car Prices

7 8 9 10

6000

8000

Cos

t ($

)

10,000

12,000

14,000

16,000

18,000

20,000


© 2

012

Car

negi

e Le

arni

ng


5. Nathan and Alex, the managers of the boys’ basketball team, have collected data on the players’

heights and the average number of points scored by each player.

Ave

rag

e P

oin

ts S

core

d

Height (inches)

x

y Height vs. Average Points Scored

56

2

0

4

6

8

10

12

14

16

18

58 60 62 64 66 68 70 72 74


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

6. Hugo has collected data about the unemployment rate in his county over the last several decades.

Une

mp

loym

ent

Rat

e (%

)

Year

x

y Year vs. Unemployment Rate

1970

5.5

5.0

6.0

6.5

7.0

7.5

8.0

8.5

9.0

9.5

10.0

10.5

11.0

1975 1980 1985 1990 1995 2000 2005 2010


© 2

012

Car

negi

e Le

arni

ng


7. A gas station has collected data about the number of gallons of regular unleaded gas it sells each

week and the average price charged for each gallon during that week.

Pri

ce p

er G

allo

n ($

)

Gallons Sold (thousands)

x

y Gallons Sold vs. Price per Gallon

140

2.40

2.30

2.50

2.60

2.70

2.80

2.90

3.00

3.10

3.20

160 180 200 220 240 260


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

8. Rayneisha, a department store manager, has collected data on the store’s advertising costs for a

certain year and the corresponding profit for that year.

Pro

fit (t

hous

and

s o

f $)

Advertising Costs (thousands of $)

x

y Advertising Costs vs. Profit

4

320

300

340

360

380

400

420

440

460

480

6 8 10 12 14 16 18 20 22


© 2

012

Car

negi

e Le

arni

ng

How Fast Are Your Nerve Impulses?Connecting Tables and Scatter Plots for Collected Data

Problem Set 1. Students set up an experiment to see if practice really does make perfect. Each student was

given a certain number of practice balls to throw into a bucket 25 feet away. Then the student was

given five balls to toss into the bucket. The percentage out of those 5 throws was recorded in the

table. Three trials of the experiment were performed. Answer each question for the data given in

the table.

Number of Practice Balls Thrown

Trial 1 (%) Trial 2 (%) Trial 3 (%)Average Throw Percentage (%)

0 20 20 40 27%

1 40 20 40 33%

2 40 60 40 47%

5 80 80 60 73%

10 80 40 100 73%

15 60 80 100 80%

20 100 80 100 93%

a. Calculate the average throw percentages. Round averages to the whole percent. Write your

answers in the table.

b. What is the independent the dependent variable?

The number of practice balls thrown is the independent variable.

Average throw percentage is the dependent variable.

c. Write ordered pairs for the data. Then, create a scatter plot for the data.

(0, 27); (1, 33); (2, 47); (5, 73); (10, 73); (15, 80); (20, 93)


Name ________________________________________________________ Date _________________________


© 2

012

Car

negi

e Le

arni

ng


20

10

420 6 80

10 12

Number of Practices Balls Thrown

Practice Throws and Throw Percentage

14 16 18 20

30

40

Ave

rage

Thr

ow P

erce

ntag

e (%

)

50

60

70

80

90

100

d. Does there appear to be a linear association between the dependent and independent

variables? State the association in terms of the variables.

Yes, there is a linear association. As the number of practice throws increase, the average

throw percentage also increases.

e. Is there a positive or negative association between the number of practice throws and average

throw percentage?

There is a positive association between the number of practice throws and the average

throw percentage.

f. Write the ordered pair for the point on the scatter plot that represents the greatest average

throw percentage. Identify the values of the coordinates and what they mean.

The point (20, 93) means that after throwing 20 practice throws, the student’s average throw

percentage was 93%.


© 2

012

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

g. Write the ordered pair for the point on the scatter plot that represents the least practice balls

thrown. Identify the values of the coordinates and what they mean.

The point (0, 27) means that after throwing 0 practice throws, the student’s average throw

percentage was 27%.

2. The student council tracked data on various committees that were set up throughout the year

to work on different projects. They tracked the size of the committee (the number of committee

members) and the average length of their meetings. The data is shown in the scatter plot. Use the

scatter plot to answer each question.

y

x

a. Use the data points from the scatter plot to complete the table.

Number of Committee Members

Average Meeting Length (min.)


© 2

012

Car

negi

e Le

arni

ng


b. Does there appear to be a linear association between the dependent and independent

variables? State the association in terms of the variables.

c. Is there a positive or negative association between the number of committee members and the

average meeting length?

d. Write the ordered pair with the greatest number of committee members. Explain the meaning of

each of the coordinates.

e. Write the ordered pair for the committee with the shortest meetings. Explain where you would

find the point on the scatter plot.

f. Write the ordered pair for the committee with the longest meetings. Explain where you would

find the point on the table.

g. Write the ordered pairs for the committees with the same number of members. How many

members did they have and how long were each of their average meetings?

h. Write the ordered pairs for the committees with the same length of meetings. How long are their

meetings and how many members do they each have?

School Spirit and Scatter Plots - Chamblee Middle …chambleems.dekalb.k12.ga.us/Downloads/Student...

Documents

Transcript of School Spirit and Scatter Plots - Chamblee Middle …chambleems.dekalb.k12.ga.us/Downloads/Student...