A Scatter Diagram Includes the Following Data Points $$\begin{array} { | c | c c c c c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 8 & 6 & 12 & 10 & 14 \\\hline\end{array}$$

Essay

A scatter diagram includes the following data points:
$$\begin{array} { | c | c c c c c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 8 & 6 & 12 & 10 & 14 \\\hline\end{array}$$ Two regression models are proposed: (1) $\hat { y } = 1.2 + 2.5 x$ , and (2) $\hat { y } = 4.0 x$ . Using the least squares method, which of these regression models provides the better fit to the data? Why?