Find the standard error of estimate, se, for the data below, given that y = 2x + 1. $$\begin{array} { l | l | l | l | l | }
\mathrm { x } & 1 & 2 & 3 & 4 \
\hline \mathrm { y } & 3 & 5 & 7 & 9
\end{array}$$
A)0
B)1
C)2
D)3

Question

Find the standard error of estimate, se, for the data below, given that y = 2x + 1. $$\begin{array} { l | l | l | l | l | } 
\mathrm { x } & 1 & 2 & 3 & 4 \
\hline \mathrm { y } & 3 & 5 & 7 & 9
\end{array}$$
A)0
B)1
C)2
D)3

Quizplus · Accepted Answer

The standard error of estimate, $se$, measures the average distance that the observed values fall from the regression line. Given the equation $y = 2x + 1$, and the provided data points perfectly fit this line (since for each $x$, $y$ is exactly $2x + 1$), there is no deviation of the observed values from the predicted values. Therefore, the standard error of estimate is 0.

Find the Standard Error of Estimate, Se, for the Data x1234y3579\begin{array} { l | l | l | l | l | } \mathrm { x } & 1 & 2 & 3 & 4 \\\hline \mathrm { y } & 3 & 5 & 7 & 9\end{array}xy​13​25​37​49​​

Find the Standard Error of Estimate, Se, for the Data $\begin{array} { l | l | l | l | l | } \mathrm { x } & 1 & 2 & 3 & 4 \\\hline \mathrm { y } & 3 & 5 & 7 & 9\end{array}$