Use a Graphing Calculator to Plot the Data and Find

question 9

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation
Of the best model. $\begin{array}{l|llllll}\mathrm{x} \text { (seconds after release) } & 2 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm{y} \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572\end{array}$

• A) \(y = 15.95 x ^ { 2 }\)
• B) \(y = - 74.9 + 290 \ln x\)
• C) \(\mathrm { y } = - 148.4 + 112 \mathrm { x }\)
• D) \(y = 13.0 \mathrm { e } ^ { 0.686 \mathrm { x } }\)

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Definitions:

Clan Groups

Social groups characterized by common descent from a shared ancestor, often forming the basic units in tribal societies.

Mythical Origin

Pertains to a legendary or fictional account explaining the beginning or creation of something, often involving gods or supernatural events.

Kindreds

A network of relatives within which individuals possess rights and obligations; often extending beyond immediate family.

Focal Person

An individual who is the center of attention or the main subject of study in a particular research or discussion.