Compute the Sum of Squared Residuals
-The regression line for the given data is $\hat { y } = 3.53 x + 37.92$. Determine the residual of a data point for which $x =$ 8 and $y = 65$.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\hline \text { Years employed, } \mathrm{x} & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \
\hline \text { Sales, y } & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120
\end{array}$

A) $- 1.16$
B) $131.16$
C) $66.16$
D) $- 259.37$

Question

Compute the Sum of Squared Residuals
-The regression line for the given data is $\hat { y } = 3.53 x + 37.92$. Determine the residual of a data point for which $x =$ 8 and $y = 65$.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\hline \text { Years employed, } \mathrm{x} & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \
\hline \text { Sales, y } & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120
\end{array}$

A) $- 1.16$
B) $131.16$
C) $66.16$
D) $- 259.37$

Quizplus · Accepted Answer

The predicted value of $y$ when $x = 8$ is $\hat{y} = 3.53(8) + 37.92 = 66.16$. The residual is $y - \hat{y} = 65 - 66.16 = -1.16$.

Compute the Sum of Squared Residuals -The Regression Line for the Given

Compute the Sum of Squared Residuals
-The Regression Line for the Given