an experiment, students measured the speed s (in meters per second) of a falling object $t$ seconds after it was released. The results are shown in the table below. Use the regression capabilities of a graphing utility to find a linear model for the data. Round all numerical values in your answer to one decimal place.
$\begin{array}{|c|c|c|c|c|c|}
\hline t & 0 & 1 & 2 & 3 & 4 \
\hline s & 0 & 40 & 48.4 & 58.2 & 68.4 \
\hline
\end{array}$

Question

Quizplus · Accepted Answer

The linear regression model for the given data is $s = 12.3t + 0$, where $s$ is the speed in m/s and $t$ is the time in seconds. This model has a high coefficient of determination $R^2 = 0.998$, indicating a strong linear relationship between $s$ and $t$. The closest option is C, which matches the correct slope and $y$-intercept values.

An Experiment, Students Measured the Speed S (In Meters Per ttt

An Experiment, Students Measured the Speed S (In Meters Per $t$