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Five-Minute Check (over Lesson 1–5) Then/Now New Vocabulary Example 1: Construct a Scatter Plot Key Concept: Types of Relationships Example 2: Interpret Scatter Plots Example 3: Real-World Example: Analyze Scatter Plots Lesson Menu

Complete the function table. State the domain and range Complete the function table. State the domain and range. A Ferris wheel revolves 12 times each minute. A. D = {3, 6, 9, 12} R = {36, 72, 108, 144} B. D = {36, 72, 108, 144} R = {3, 6, 9, 12} C. D = {1, 2, 3, 4} R = {36, 72, 108, 144} D. D = {1, 2, 3, 4} R = {12, 24, 36, 48} A B C D 5-Minute Check 1

Which expression can be used to find the number of quarts in any number of gallons? B. 4q = g C. q = 4g D. 16q = g A B C D 5-Minute Check 2

Which expression can be used to represent fourteen less than twice the width? A. 14 – 2 + w B. 14 – 2w C. 2w + 14 D. 2w – 14 A B C D 5-Minute Check 3

Construct scatter plots. You have already graphed ordered pairs and relations on a coordinate system. (Lesson 1–4) Construct scatter plots. Analyze trends in scatter plots. Then/Now

scatter plot Vocabulary

Construct a Scatter Plot BREAD The table shows the average cost of a loaf of bread from 1920–2000. Make a scatter plot of the data. Let the horizontal axis, or x-axis, represent the year. Let the vertical axis, or y-axis, represent the cost. Example 1

Graph the ordered pairs (year, cost). Construct a Scatter Plot BREAD The table shows the average cost of a loaf of bread from 1920–2000. Make a scatter plot of the data. Answer: Graph the ordered pairs (year, cost). Example 1

BIRTH STATISTICS The table shows the number of babies born at Central Hospital during the past eight months. Make a scatter plot of the data. A. B. C. D. A B C D Example 1

Concept

As the height increases, the number of rebounds increases. Interpret Scatter Plots Determine whether a scatter plot of the height of a basketball player and number of rebounds might show a positive, negative, or no relationship. Explain your answer. As the height increases, the number of rebounds increases. Answer: positive relationship Example 2

Determine whether a scatter plot of the outside temperature and the heating bill might show a positive, negative, or no relationship. Explain your answer. A. As the outside temperature decreases, the heating bill will increase. This is a negative relationship. B. As the outside temperature decreases, the heating bill will increase. This is a positive relationship. C. As the outside temperature increases, the heating bill will increase. This is a negative relationship. D. Outside temperature and heating bill have no relationship. A B C D Example 2

Analyze Scatter Plots A. TEMPERATURE The table shows temperatures in degrees Celsius and the corresponding temperatures in degrees Fahrenheit. Make a scatter plot of the data. Let the horizontal axis represent degrees Celsius and the vertical axis represent degrees Fahrenheit. Graph the data. Example 3

Answer: A positive relationship is shown. As °C increase, so do °F. Analyze Scatter Plots B. Draw a conclusion about the type of relationship the data shows. Explain. Answer: A positive relationship is shown. As °C increase, so do °F. Example 3

C. Predict the Fahrenheit temperature for 35°C. Analyze Scatter Plots C. Predict the Fahrenheit temperature for 35°C. By looking at the pattern on the graph, we can predict that the Fahrenheit temperature corresponding to 35°C would be about 95 degrees. Answer: 95°F Example 3

A. STUDY SKILLS The table shows hours spent studying for a test and the corresponding test score. Make a scatter plot of the data. A. B. C. D. A B C D Example 3

B. STUDY SKILLS The table shows hours spent studying for a test and the corresponding test score. Does the scatter plot show a relationship between hours studied and a student’s test score? A B C D A. Yes, a positive relationship exists. B. Yes, a negative relationship exists. C. No, no relationship exists. D. none of the above Example 3

C. STUDY SKILLS The table shows hours spent studying for a test and the corresponding test score. Predict the test score for a student who spends 7 hours studying. A. between 65 and 70 B. between 75 and 80 C. between 95 and 100 D. between 105 and 110 A B C D Example 3

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