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

question 20

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.

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

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Definitions:

Erythropoietin

A hormone produced by the kidneys that stimulates the production of red blood cells in response to low oxygen levels in tissues.

Mammalian Red Blood Cells

Mammalian red blood cells are biconcave, disk-shaped cells that carry oxygen from the lungs to the body's tissues and remove carbon dioxide, lacking a nucleus when mature.

Phagocytic

Pertaining to cells that have the ability to engulf and absorb particles or other cells through a process called phagocytosis, key for immune defense.

Lobed Nucleus

A characteristic of certain white blood cells, where the nucleus is divided into several connected lobes, often seen in neutrophils.