The U.S. national debt (in billions of dollars) for selected years from 1980 is shown in the following table. Year 1980 1985 1990 1995 2000 2004 Debt 930.2 1945.9 3233.3 4974.0 5674.2 7379.1 (a) Find the least squares regression linear function giving national debt as a function of years since 1980 (x 0 for 1980). (Round all numerical values to two decimal places.) f(x) = (b) Use the regression line to estimate the national debt in 2010. In 2014. (Round your answers to one decimal place.) 2010 24 billion 2014 24 billion (c) Assume 290 million (0.29 billion) people in the United States in 2014, What is the estimated per capita debt? (Round your answer to the nearest thousand.)

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Chapter2: Second-order Linear Odes
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The U.S. national debt (in billions of dollars) for selected years from 1980 is shown in the following table.
Year 1980
1985
1990
1995
2000
2004
Debt 930.2 1945.9 3233.3 4974.0 5674.2 7379.1
(a) Find the least squares regression linear function giving national debt as a function of years since 1980 (x 0 for 1980). (Round all numerical values to two decimal
places.)
f(x) =
(b) Use the regression line to estimate the national debt in 2010. In 2014. (Round your answers to one decimal place.)
2010
24
billion
2014
24
billion
(c) Assume 290 million (0.29 billion) people in the United States in 2014, What is the estimated per capita debt? (Round your answer to the nearest thousand.)
Transcribed Image Text:The U.S. national debt (in billions of dollars) for selected years from 1980 is shown in the following table. Year 1980 1985 1990 1995 2000 2004 Debt 930.2 1945.9 3233.3 4974.0 5674.2 7379.1 (a) Find the least squares regression linear function giving national debt as a function of years since 1980 (x 0 for 1980). (Round all numerical values to two decimal places.) f(x) = (b) Use the regression line to estimate the national debt in 2010. In 2014. (Round your answers to one decimal place.) 2010 24 billion 2014 24 billion (c) Assume 290 million (0.29 billion) people in the United States in 2014, What is the estimated per capita debt? (Round your answer to the nearest thousand.)
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