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**A**B C D 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 5-Minute Check 1**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**BREADThe 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**BREADThe 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**A**B C D A. B. C.D. BIRTH STATISTICSThe table shows the number of babies born at Central Hospital during the past eight months. Make a scatter plot of the data. Example 1**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) Concept**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 Example 2**.1**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. As the weight of the car (x-value) increases the miles per gallon (y-value) decreases. Answer: negative relationship**A**B C D 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. 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. 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**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 Example 3**A**B C D A.B. C.D. A. STUDY SKILLS The table shows hours spent studying for a test and the corresponding test score. Make a scatter plot of the data. Example 3**A**B C D 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 Example 3**A**B C D 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 Example 3