Concept explainers
Use a graphing calculator to do Exercises 67 -70.
Forward Industries Costs The following table shows the costs (in millions of dollars) for Forward Industries Inc. (Data from: www.morningstar.com.)
Year | Costs |
2006 | 23 |
2007 | 17 |
2008 | 16 |
2009 | 14 |
2010 | 15 |
2011 | 18 |
2012 | 25 |
2013 | 25 |
2014 | 27 |
2015 | 24 |
(a) Use cubic regression to find a third-order polynomial function
Graph
What does the model estimate for the costs in 2014? Is it close to the actual costs shown in the table?
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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- LIFE SCIENCE APPLICATIONS Gender Ratio The number of males per 100 females, age 65 or over, in the United States for some recent years is shown in the following table. Source: The U.S Census Bureau. Year Males per 100 Females 1960 82.8 1970 72.1 1980 67.6 1990 67.2 2000 70.0 2010 77.0 a. Plot the data, letting x be the years since 1900. b. Would a linear or quadratic function best model this data? Explain. c. If your graphing calculator has a quadratic regression feature, find the quadratic function that best fits the data. Graph this function on the same calculator window as the data. See Example 7c. d. Choose the lowest point in the table above as the vertex and 110,77.0 as a second point to find a quadratic function defined by f(x)=a(xh)2+k that models the data. e. Graph the function from part d on the same calculator window as the data and function from part c. Do the graphs of the two functions differ by much? f. Predict the number of males per 100 females in 2004 using the two functions from parts c and d, and compare with the actual figure of 71.7.arrow_forwardDoes Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forward
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