A scatter diagram includes the following data points: $$\begin{array} { | c | c | c | c | c | c | }
\hline x & 3 & 2 & 5 & 4 & 5 \
\hline y & 9 & 6 & 11 & 11 & 15 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y }$ = 1.85 + 2.40x.
Model 2: $\hat { y }$ = 1.79 + 2.54x.
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: $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & 3 & 2 & 5 & 4 & 5 \
\hline y & 9 & 6 & 11 & 11 & 15 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y }$ = 1.85 + 2.40x.
Model 2: $\hat { y }$ = 1.79 + 2.54x.
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: $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & 3 & 2 & 5 & 4 & 5 \
\hline y & 9 & 6 & 11 & 11 & 15 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y }$ = 1.85 + 2.40x.
Model 2: $\hat { y }$ = 1.79 + 2.54x.
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 x32545y96111115\begin{array} { | c | c | c | c | c | c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 9 & 6 & 11 & 11 & 15 \\\hline\end{array}xy​39​26​511​411​515​​

A Scatter Diagram Includes the Following Data Points $\begin{array} { | c | c | c | c | c | c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 9 & 6 & 11 & 11 & 15 \\\hline\end{array}$