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Name Class Date Practice 2-5 Form K Using Linear Models Make a scatter plot and describe the correlation. To start, plot the points. 1. (1, 2), (2, 4), (3, 7), (4, 6), (5, 9) 2. (1, 9), (2, 8), (3, 4), (6, 3), (8, 5) Write the equation of a trend line, if possible. 3. (2, 1), (4, 5), (5, 4), (6, 6), (8, 8) 4. To begin, make a scatter plot and let x = 0 correspond to 1950. Life Expectancy for People Born in Various Years Year 1950 1960 1970 1980 1990 2000 2002 Life Expectancy 68.2 69.7 70.8 73.7 75.4 76.9 77.3 SOURCE: National Center for Health Statistics 5. The table below shows the average daily energy requirements for male children and adolescents. Daily Energy Requirements for Males Age (years) 1 Energy needed 1100 (calories) 2 5 8 11 14 17 1300 1800 2200 2500 2800 3000 SOURCE: Go Figure: The Numbers You Need for Everyday Life a. Use a calculator to find the line of best fit. b. Use your linear model to predict how many calories a 19-year old needs per day. c. Use your linear model to predict the age of a male who needs 2300 calories per day. d. Reasoning Do you think this model also applies to adult males? Explain. Prentice Hall Foundations Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 45 Name Class 2-5 Date Practice (continued) Form K Using Linear Models 6. A woman is considering buying a car. She researches prices for various years of the same model of car. The table below shows the data from her research. Car Prices by Model Year Model Year Prices 2000 $5784 2001 2002 $6810 2003 $8237 $9660 2004 $10,948 a. Use a calculator to find the line of best fit. Let x = the number of years since 2000. b. Use your linear model to predict how much a 2007 model should cost. c. Error Analysis She predicts that a 2005 model costs $9800. Does this seem reasonable? Why or why not? Consider each situation and predict the type of correlation you might find. Do you think that changes in the first quantity caused the changes in the second quantity? 7. a person’s weight and the size of clothing they wear 8. the number of rooms in a person’s home and the number of books a person owns 9. the length of time a candle has been burning and the height of the candle For each situation, find a linear model and use it to make a prediction. 10. A 2-mi cab ride costs $5.25. A 5-mi cab ride costs $10.50. How much does a 3.8- mi cab ride cost? 11. There are 55 blades of grass in 1 in.2 of lawn. There are 230 blades of grass in 4 in.2 of the same lawn. How many blades of grass are in 3 in.2 of lawn? 12. An empty 5-gal water jug weighs 0.75 lb. With 3 c of water inside, the jug weighs 2.25 lb. Predict the weight of the jug with 5 c of water inside. Prentice Hall Foundations Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 46