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Over Lesson 1–5 A.A B.B C.C D.D 5-Minute Check 1 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 Which expression can be used to find the number of quarts in any number of gallons? A. B.q = 4g C.4q = g D.16q = g

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

Vocabulary scatter plot

Example 1 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 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. Graph the ordered pairs (year, cost). Answer:

A.A B.B C.C D.D 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.

Concept Example: The hours you study and your test average have a positive relationship (as your hours go up, so do your scores) Example: The minutes a candle is burned and the height of the candle have a negative relationship (the longer you burn, the shorter the candle) Example: The number of slices of pizza you eat and your shoe size (the is no obvious relation to these two pieces of data)

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

Determine whether the scatter plot of the weight of a car and its miles per gallon shows a positive, negative, or no relationship. Explain your answer..1 As the weight of the car (x-value) increases the miles per gallon (y-value) decreases. Answer: negative relationship

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

Example 3 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 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 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

A.B. C.D. A.A B.B C.C D.D 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.A B.B C.C D.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.Yes, a positive relationship exists. B.Yes, a negative relationship exists. C.No, no relationship exists. D.none of the above

A.A B.B C.C D.D 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

End of the Lesson