The table below gives the violent crime rate (per 100,000 people) for a particular state every five years from 1970 to 2010. $$\begin{array} { c | c }
\text { Year } & \begin{array} { c }
\text { Violent Crime } \
\text { Rate }
\end{array} \
\hline 1970 & 4.8 \
\hline 1975 & 5.0 \
\hline 1980 & 5.9 \
\hline 1985 & 7.3 \
\hline 1990 & 8.9 \
\hline 1995 & 10.4 \
\hline 2000 & 11.6 \
\hline 2005 & 12.3 \
\hline 2010 & 12.1
\end{array}$$ Use technology to find the cubic function that is the best fit for this data, where x is the number of years after 1970. Use the model to estimate the year having a violent crime rate of 11.4 per 100,000.
A) 2012
B) 2016
C) 2011
D) 2014

Question

The table below gives the violent crime rate (per 100,000 people) for a particular state every five years from 1970 to 2010. $$\begin{array} { c | c } 
\text { Year } & \begin{array} { c } 
\text { Violent Crime } \
\text { Rate }
\end{array} \
\hline 1970 & 4.8 \
\hline 1975 & 5.0 \
\hline 1980 & 5.9 \
\hline 1985 & 7.3 \
\hline 1990 & 8.9 \
\hline 1995 & 10.4 \
\hline 2000 & 11.6 \
\hline 2005 & 12.3 \
\hline 2010 & 12.1
\end{array}$$ Use technology to find the cubic function that is the best fit for this data, where x is the number of years after 1970. Use the model to estimate the year having a violent crime rate of 11.4 per 100,000.
A) 2012
B) 2016
C) 2011
D) 2014

Quizplus · Accepted Answer

Using a cubic regression model, the estimated year when the violent crime rate is 11.4 per 100,000 is approximately 2014.

The Table Below Gives the Violent Crime Rate (Per 100,000