Main Idea and New Vocabulary Example 1: Construct a Scatter Plot Key Concept: Types of Relationships Example 2: Interpret Scatter Plots Example 3: Make Conjectures About Scatter Plots Example 4: Make Conjectures About Scatter Plots Example 5: Make Conjectures About Scatter Plots Lesson Menu

Construct and make conjectures about scatter plots. Main Idea/Vocabulary

Construct a Scatter Plot DRIVING Construct a scatter plot of the distance required to stop a car traveling at given speeds. Example 1

Construct a Scatter Plot Let the horizontal axis, or x-axis, represent the speed. Let the vertical axis, or y-axis, represent the distance. Then graph the ordered pairs (speed, distance). Answer: Example 1

CAMPS Construct a scatter plot of the number of campers at a summer camp. A. C. B. D. Example 1 CYP

Key Concept 2

Interpret Scatter Plots HOT CHOCOLATE Explain whether the scatter plot of the data for cups of hot chocolate sold at a concession stand and the outside temperature shows a positive, negative, or no relationship. Answer: As the temperature increases, the number of cups sold decreases. Therefore, the scatter plot shows a negative relationship. Example 2

A. positive relationship B. negative relationship CAMPS Explain whether the scatter plot of the data for the number of campers at a summer camp shows a positive, negative, or no relationship. A. positive relationship B. negative relationship C. no relationship Example 2 CYP

Make Conjectures About Scatter Plots FUEL The table shows the average extra fuel used by drivers in one city due to travel delays in congested areas. Construct a scatter plot of the data. Example 3

Make Conjectures About Scatter Plots Let the horizontal axis represent the year and let the vertical axis represent the excess fuel. Answer: Example 3

OCEANS The table shows the water temperature of an ocean at different depths. Construct a scatter plot of the data. A. C. B. D. Example 3 CYP

Make Conjectures About Scatter Plots FUEL The scatter plot shows the average extra fuel used by drivers in one city due to travel delays in congested areas. Explain whether the scatter shows a positive, negative, or no relationship. Answer: As years increase, excess fuel increases. So, the scatter plot shows a positive relationship. Example 4

A. positive relationship B. negative relationship OCEANS The scatter plot shows the water temperature of an ocean at different depths. Explain whether the scatter shows a positive, negative, or no relationship. A. positive relationship B. negative relationship C. no relationship Example 4 CYP

Make Conjectures About Scatter Plots FUEL The scatter plot shows the average extra fuel used by drivers in one city due to travel delays in congested areas. If a relationship exists, make a conjecture about the excess fuel that will be used by an average driver in 2010. Example 5

Make Conjectures About Scatter Plots The scatter plot shows a positive relationship. If the trend continues, the number of gallons of excess fuel will probably increase by about 6 or 7 gallons in the next 5 years. 31 + 6 = 37 and 31 + 7 = 38 Answer: So, in 2010, the average driver will use about 37 or 38 gallons of excess fuel. Example 5

D. no relationship exists OCEANS The scatter plot shows the water temperature of an ocean at different depths. If a relationship exists, make a conjecture about the temperature of the water at a depth of 800 feet. A. about 0°C B. about 3°C C. about 6°C D. no relationship exists Example 5 CYP