Find the unexplained variation for the paired data.
-The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is $\mathrm { y } = 44.8447 + 3.52427 \mathrm { x }$. Find the unexplained variation.
$\begin{array}{c|rrrrr}
\text { x Hours of preparation } & 5 & 2 & 9 & 6 & 10 \
\hline \text { y Test score } & 64 & 48 & 72 & 73 & 80
\end{array}$

A) $599.2$
B) $96.103$
C) $87.4757$
D) $511.724$

Question

Find the unexplained variation for the paired data.
-The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is $\mathrm { y } = 44.8447 + 3.52427 \mathrm { x }$. Find the unexplained variation.
$\begin{array}{c|rrrrr}
\text { x Hours of preparation } & 5 & 2 & 9 & 6 & 10 \
\hline \text { y Test score } & 64 & 48 & 72 & 73 & 80
\end{array}$

A) $599.2$
B) $96.103$
C) $87.4757$
D) $511.724$

Quizplus · Accepted Answer

The unexplained variation is the sum of the squares of the residuals. Calculate the predicted y-values using the regression equation, find the residuals (actual y - predicted y), square them, and sum them up to get the unexplained variation.

Find the Unexplained Variation for the Paired Data y=44.8447+3.52427x\mathrm { y } = 44.8447 + 3.52427 \mathrm { x }y=44.8447+3.52427x

Find the Unexplained Variation for the Paired Data $\mathrm { y } = 44.8447 + 3.52427 \mathrm { x }$