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. $\begin{array}{l|llllll}
\mathrm{x} \text { (seconds after release) } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \mathrm{y} \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572
\end{array}$
A) $y = 15.95 \mathrm { x } ^ { 2 }$
B) $y = - 74.9 + 290 \ln x$
C) $y = - 148.4 + 112 x$
D) $y = 13.0 e ^ { 0.686 x }$

Question

Quizplus · Accepted Answer

The data points follow a parabolic trend, which suggests a quadratic relationship between time and distance. The quadratic function of best fit for such a set of data points typically has the form $y = ax^2 + bx + c$. Among the given options, only option A represents a quadratic equation without linear or logarithmic terms, making it the best fit for the data provided.

Use a Graphing Calculator to Plot the Data and Find