Consider the data set shown below. Find the standard deviation of the least squares regression line. $$\begin{array} { c | c | c | c | c | c | c | c }
\mathrm { y } & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm { x } & - 2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$$
A) 1.5
B) 0.94643
C) 1.49045
D) 0.9003

Question

Consider the data set shown below. Find the standard deviation of the least squares regression line. $$\begin{array} { c | c | c | c | c | c | c | c } 
\mathrm { y } & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm { x } & - 2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$$
A) 1.5
B) 0.94643
C) 1.49045
D) 0.9003

Quizplus · Accepted Answer

The standard deviation of the residuals (errors) from the least squares regression line is calculated using the formula for standard deviation of residuals. After computing the regression line and residuals, the standard deviation is approximately 1.49045.

Consider the Data Set Shown Below A) 15 B) 0

Consider the Data Set Shown Below A) 15
B) 0