Concept explainers
Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit.
The ordered pairs below give the civilian noninstitutional U.S populations y (in millions of people) 16 years of age and over not in the civilian labor force from 2006 through 2014. (Spreadsheet at LarsonPrecalculus.com)
(2006, 77.4) | (2011, 86.0) |
(2007, 78.7) | (2012, 88.3) |
(2008, 79.5) | (2013, 90.3) |
(2009, 81.7) | (2014, 92.0) |
(2010, 83.9) |
A model for the data is
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Chapter 1 Solutions
Precalculus (MindTap Course List)
- Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the revenues y (in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014. 2008,3.032012,4.862009,4.282013,4.582010,4.452014,4.412011,4.76 A model for the data is y=0.184t+2.32,8t14, where t represents the year, with t=8 corresponding to 2008.arrow_forwardHOW DO YOU SEE IT? Discuss how well a linear model approximates the data shown in each scatter plot.arrow_forwardSketching a Scatter Plot In Exercises 15 and 16, sketch a scatter plot of the data shown in the table. The table shows the lowest temperature on record y (in degrees Fahrenheit) in Duluth, Minnesota, for each month x, where x=1 represents January.arrow_forward
- Population Statistics The table shows the life expectancies of a child (at birth) in the United States for selected years from 1940 through 2010. A model for the life expectancy during this period is y=63.6+0.97t1+0.01t,0r70 Where y represents the life expectancy and t is the time in years, with t=0 corresponding to 1940. (a) Use a graphing utility to graph the data from the table and the model in the same viewing window. How well does the model fit the data? Explain (b) Determine the life expectancy in 1990 both graphically and algebraically. (c) Use the graph to determine the year when life expectancy was approximately 70.1. Verify your answer algebraically. (d) Identify the y-intercept of the graph of the model. What does it represent in the context of the problem? (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now? Explainarrow_forwardDraw a scatter plot for the data in Table 2. Then determine whether the data appears to belinearly related.arrow_forwardGraphing Discrete Data Plot the data from the table in Exercise S-2. S-2. Testing Data for Linearity Test the following data to see whether they are linear. x 2 4 6 8 y 12 17 21 25arrow_forward
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