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Splash Screen. Five-Minute Check (over Lesson 9–8) Main Idea and Vocabulary Concept Summary: Types of Relationships Example 1: Identify a Relationship Example 2: Identify a Relationship Example 3: Line of Fit Example 4: Line of Fit Example 5: Line of Fit. Lesson Menu.

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Five-Minute Check (over Lesson 9–8)

Main Idea and Vocabulary

Concept Summary: Types of Relationships

Example 1: Identify a Relationship

Example 2: Identify a Relationship

Example 3: Line of Fit

Example 4: Line of Fit

Example 5: Line of Fit

Identify a Relationship

Explain whether a scatter plot of the data for the number of cups of hot chocolate sold at a concession stand and the outside temperature might show a positive, negative, or norelationship.

As the temperature decreases, the number of cups of hot chocolate sold increases. Therefore, the scatter plot might show a negative relationship.

Example 1
A

B

C

Determine whether a scatter plot of the data for the number of cups of lemonade sold at a concession stand and the outside temperature might show a positive, negative, or norelationship.

A. positive

B. negative

C. no relationship

Example 1

Identify a Relationship

Explain whether a scatter plot of the data for the birthday and number of sports played might show a positive, negative, or norelationship.

The number of sports played does not depend on your birthday.

Answer: Therefore, the scatter plot shows no relationship.

Example 2
A

B

C

Determine whether a scatter plot of the data for your age and the color of your hair might show a positive, negative, or norelationship.

A. positive

B. negative

C. no relationship

Example 2

Line of Fit

ZOOSThe table to the right shows the average and maximum longevity of various animals in captivity. Make a scatter plot using the data. Then draw a line that seems to best represent the data.

Example 3

Line of Fit

Graph each of the data points.

Draw a line that best fits the data.

Example 3

PRODUCTION The table to the right shows the average hourly earnings of production workers since 2000. Make a scatter plot using the data. Then draw a line that seems to best represent the data.

Example 3
A

B

C

D

A. B.

C. D.

Example 3

Line of Fit

ZOOSThe graph shows the average and maximum longevity of various animals in captivity. Write an equation for the line of fit.

The line passes through the points at (15, 40) and (35, 70). Use these points to find the slope of the line.

Example 4

Line of Fit

Use the slope and the y-intercept to write the equation.

Example 4
A

B

C

D

PRODUCTIONThe graph shows the average hourly earnings of production workers since 2000. Write an equation for the line of fit using the points (0, 11.43) and (5, 13.76).

A.y = 1.4x + 12.15

B. y = 0.924x + 3.07

C.y = 0.815x + 9.21

D.y = 0.466x + 11.43

Example 4

ZOOSThe graph shows the average and maximum longevity of various animals in captivity. Use the equation to predict the maximum longevity for an animal with an average longevity of 33 years.

Line of Fit

Example 5

Line of Fit

Answer: The maximum longevity is about 67 years.

Example 5
A

B

C

D

PRODUCTION The table to the right shows the average hourly earnings of production workers since 2000. Use the equation y = 0.466x + 11.43 to predict the average hourly earnings of U.S. production workers in 2009.

A. \$14.81

B. \$15.62

C. \$15.92

D. \$16.07

Example 5

Five-Minute Check (over Lesson 9–8)

Image Bank

Math Tools

Slope and Intercept

Resources
A

B

C

D

(over Lesson 9-8)

How many students are in the eighth grade?

A. 89 B. 130

C. 219 D. 245

Five Minute Check 1
A

B

C

D

(over Lesson 9-8)

What percentage of students does not play sports?

A. 68.5% B. 40.6%

C. 33.2% D. 19.6%

Five Minute Check 2
A

B

C

D

(over Lesson 9-8)

What is the ratio of soccer players to football players?

A. 11:17 B. 22:219

C. 22:31 D. 11:22

Five Minute Check 3
A

B

C

D

(over Lesson 9-8)

The graph shows the number of points scored for the first seven weeks of football season. What is the average number of points scored during the first seven weeks? Round your answer to the nearest tenth.

A. 145 points B. 24.2 points

C. 20.7 points D. 10.7 points

Five Minute Check 4