Use a Graphing Calculator to Plot the Data and Find

question 115

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. $$\begin{array} { l | l l l l l l } \mathrm { x } \text { (seconds after release) } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm { y } \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572\end{array}$$

• A) y = 15.95x²
• B) y = 13.0 e0.686x
• C) y = -74.9 + 290 lnx
• D) y = - 148.4 + 112x

---

Definitions:

Fatuous Love

A type of love that is defined by commitment and passion but lacks intimacy, often short-lived and lacks deeper understanding.

Intimacy

A close, familiar, and usually affectionate or loving personal relationship with another person or group.

Passion

Intense, driving, or overmastering feeling or conviction, often associated with love or enthusiasm for something.

Erik Erikson

A developmental psychologist known for his theory on the psychosocial development of humans, outlining eight stages from infancy to late adulthood.