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) \(y = 13.0 \mathrm { e } ^ { 0.686 \mathrm { x } }\)

---

Definitions:

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution, minus the number of parameters estimated.

Chi-Square Distribution

A statistical distribution that represents the distribution of the sum of the squares of k independent standard normal random variables, often used in hypothesis testing.

Single Population Variance

A measure of the variance of a set of values in a single group or population.

Independence

A condition where the occurrence or outcome of one event does not affect the occurrence or outcome of another event.