Chapter 4.1, Problem 122AYU

(a)

To determine

To graph: The scatter diagram from the given data and comment on the type of the relation that may exist in between the two variables, where the data is

$\begin{array}{|cccc|}\hline \text{Year},t& \begin{array}{l}\text{Percent}\text{below}\\ \text{Poverty}\text{Level},p\end{array}& \text{Year},t& \begin{array}{l}\text{Percent}\text{below}\\ \text{Poverty}\text{Level},p\end{array}\\ 1990,1& 13.5& 2001,12& 11.7\\ 1991,2& 14.2& 2002,13& 12.1\\ 1992,3& 14.8& 2003,14& 12.5\\ 1993,4& 15.1& 2004,15& 12.7\\ 1994,5& 14.5& 2005,16& 12.6\\ 1995,6& 13.8& 2006,17& 12.3\\ 1996,7& 13.7& 2007,18& 12.5\\ 1997,8& 13.3& 2008,19& 13.2\\ 1998,9& 12.7& 2009,20& 14.3\\ 1999,10& 11.9& 2010,21& 15.3\\ 2000,11& 11.3& 2011,22& 15.9\\ \hline\end{array}$

(b)

To determine

The function which is best fit to these data from the given data using graphing utility and use this function to predict the percentage of U.S families that were below the poverty Level in $2012(t=23)$ and compare it with the original value of $15.6$.

(c)

To determine

To graph: The cubic function model $P(t)=0.002879t^3-0.072255t^2+0.29896t+14.008202$ on scatter diagram.