Determine the best-fit line for the following data:
\begin{equation*}
(0,1),(1,1),(1,0),(0,0)
\end{equation*}
and then again for
\begin{equation*}
(0,1),(1,1),(1,2),(2,2).
\end{equation*}
Plot both data sets and plot their corresponding best-fit lines.
- Comment on how well each line seems to describe the data sets.
- Might you be more likely to use the best-fit line to predict an outcome when the first coordinate is 1/2? Why or why not?
- Are you willing to say one line is "better" than the other?