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

Question 34

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Raymond's distance D 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.

t(sec)0.00.51.01.52.02.53.03.54.04.55.0D(m)2.83.94.34.03.32.51.81.20.91.62.7\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}  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}

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