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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

A Scatter Diagram Includes the Following Data Points x32545y86121014\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}xy​38​26​512​410​514​​

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