Main Idea/Vocabulary scatter plot line of fit Construct and interpret scatter plots.

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Main Idea/Vocabulary scatter plot line of fit Construct and interpret scatter plots.

CS

Example 1 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 no relationship. As the temperature decreases, the number of cups of hot chocolate sold increases. Therefore, the scatter plot might show a negative relationship. Answer: negative

1.A 2.B 3.C Example 1 A.positive B.negative C.no relationship 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 no relationship.

Example 2 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 no relationship. The number of sports played does not depend on your birthday. Answer: Therefore, the scatter plot shows no relationship.

1.A 2.B 3.C Example 2 Determine whether a scatter plot of the data for your age and the color of your hair might show a positive, negative, or no relationship. A.positive B.negative C.no relationship

Example 3 Line of Fit ZOOS The 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. Answer: 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 Make a scatter plot using the data. Then draw a line that seems to best represent the data.

1.A 2.B 3.C 4.D Example 3 A.B. C.D.

Example 4 ZOOS The 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. Line of Fit

Example 4 Line of Fit

Example 4 Answer: Line of Fit Use the slope and the y-intercept to write the equation.

1.A 2.B 3.C 4.D Example 4 A.y = 1.4x B.y = 0.924x C.y = 0.815x D.y = 0.466x PRODUCTION The graph shows the average hourly earnings of production workers since Write an equation for the line of fit using the points (0, 11.43) and (5, 13.76).

Example 5 Line of Fit ZOOS The 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.

Example 5 Answer: The maximum longevity is about 67 years. Line of Fit

1.A 2.B 3.C 4.D Example 5 A.$14.81 B.$15.62 C.$15.92 D.$16.07 PRODUCTION The table to the right shows the average hourly earnings of production workers since Use the equation y = 0.466x to predict the average hourly earnings of U.S. production workers in 2009.

1.A 2.B 3.C 4.D Five Minute Check 1 How many students are in the eighth grade? (over Lesson 9-8) A.89B.130 C.219D.245

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 9-8) What percentage of students does not play sports? A.68.5%B.40.6% C.33.2% D.19.6%

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 9-8) A.11:17B.22:219 C.22:31D.11:22 What is the ratio of soccer players to football players?

1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 9-8) A.145 pointsB.24.2 points C.20.7 points D.10.7 points 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.

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