Raymond's Distance $D$ From a Motion Detector Is Given by the Data Below

Essay

Raymond's distance $D$ from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.

$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|}\hline t(\mathrm{sec}) & 0.0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 & 3.5 & 4.0 & 4.5 & 5.0 \\\hline D(m) & 2.8 & 3.9 & 4.3 & 4.0 & 3.3 & 2.5 & 1.8 & 1.2 & 0.9 & 1.6 & 2.7 \\\hline\end{array}$