Concept explainers
Poverty The following table gives the number (in thousands) of families under the poverty level in the United States in recent years Source: U.S. Census Bureau.
Year | Families Below Poverty Level (in thousands) |
2000 | 6400 |
2001 | 6813 |
2002 | 7229 |
2003 | 7607 |
2004 | 7835 |
2005 | 7657 |
2006 | 7668 |
2007 | 7623 |
2008 | 8147 |
2009 | 8792 |
2010 | 9400 |
2011 | 9497 |
2012 | 9520 |
(a) Find a linear equation for the number of families below poverty level (in thousands) in terms of t, the number of years since 2000, using the data for 2000 and 2012.
(b) Repeat part (a), using the data for 2004 and 2012.
(c) Find the equation of the least squares line using all the data. Then plot the data and the three lines from parts (a)-(c) on a graphing calculator.
(d) Discuss which of the three lines found in pans (a)-(c) best describes the data, as well as to what extent a linear model accurately describes the data.
(e) Calculate the
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