Jennifer's Distance D from a Motion Detector Is

question 32

Essay

Jennifer'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.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|}\hline t(\mathrm{sec}) & 0.0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 & 3.5 & 4.0 & 4.5 & 5.0 \\\hline D(m) & 2.2 & 1.1 & 0.7 & 1.0 & 1.7 & 2.5 & 3.3 & 4.0 & 4.4 & 3.8 & 2.8 \\\hline\end{array}$

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Definitions:

Living Arrangement

The configuration of one's household, including who one lives with and the nature of those relationships.

Residential Community

A geographic area where people live close to one another and share common spaces or amenities, often governed by specific rules or associations.

Nursing Home

A residential facility offering a high level of care for the elderly or those with severe health issues, including medical and personal care.

Multigenerational Home

A household setup where more than two generations of the same family live under one roof, such as grandparents, parents, and children.