A scatter diagram includes the following data points:
$$\begin{array} { | l | l | l | l | l | l | }
\hline \mathbf { x } & \mathbf { 3 } & 2 & 5 & 4 & 5 \
\hline \mathbf { y } & \mathbf { 8 } & 6 & 12 & 10 & 14 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y } =$ 1.2 + 2.5x
Model 2: $\hat { y } =$ 5.5 + 4.0x
Using the least squares method,which of these regression models provide the better fit to the data? Why?

Question

A scatter diagram includes the following data points:
 $$\begin{array} { | l | l | l | l | l | l | } 
\hline \mathbf { x } & \mathbf { 3 } & 2 & 5 & 4 & 5 \
\hline \mathbf { y } & \mathbf { 8 } & 6 & 12 & 10 & 14 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y } =$ 1.2 + 2.5x
Model 2: $\hat { y } =$ 5.5 + 4.0x
Using the least squares method,which of these regression models provide the better fit to the data? Why?

Quizplus · Accepted Answer

The Answer of A scatter diagram includes the following data points:
 $$\begin{array} { | l | l | l | l | l | l | } 
\hline \mathbf { x } & \mathbf { 3 } & 2 & 5 & 4 & 5 \
\hline \mathbf { y } & \mathbf { 8 } & 6 & 12 & 10 & 14 \
\hline
\end{array}$$ Two regression models are proposed:
Model 1: $\hat { y } =$ 1.2 + 2.5x
Model 2: $\hat { y } =$ 5.5 + 4.0x
Using the least squares method,which of these regression models provide the better fit to the data? Why?

A Scatter Diagram Includes the Following Data Points Two Regression Models Are Proposed: Model 1

A Scatter Diagram Includes the Following Data Points Two Regression Models Are Proposed:
Model 1