Use the regression feature of a graphing utility to find a quadratic model for the data below.
$\begin{array}{|r|c|}
\hline x & y \
\hline-2 & -7.3 \
\hline-1 & -2 \
\hline 0 & -1 \
\hline 1 & -4.8 \
\hline 2 & -11.4 \
\hline 3 & -22.8 \
\hline 4 & -37.8 \
\hline
\end{array}$

A) $y = - 1.91 x ^ { 2 } - 1.21 x - 1.57$
B) $y = - 1.81 x ^ { 2 } - 1.15 x - 1.42$
C) $y = - 2.21 x ^ { 2 } - 1.04 x - 1$
D) $y = - 2.11 x ^ { 2 } - 0.99 x - 1.07$
E) $y = - 2.01 x ^ { 2 } - 1.1 x - 1.28$

Question

Use the regression feature of a graphing utility to find a quadratic model for the data below. 
$\begin{array}{|r|c|}
\hline x & y \
\hline-2 & -7.3 \
\hline-1 & -2 \
\hline 0 & -1 \
\hline 1 & -4.8 \
\hline 2 & -11.4 \
\hline 3 & -22.8 \
\hline 4 & -37.8 \
\hline
\end{array}$

A) $y = - 1.91 x ^ { 2 } - 1.21 x - 1.57$
B) $y = - 1.81 x ^ { 2 } - 1.15 x - 1.42$
C) $y = - 2.21 x ^ { 2 } - 1.04 x - 1$
D) $y = - 2.11 x ^ { 2 } - 0.99 x - 1.07$
E) $y = - 2.01 x ^ { 2 } - 1.1 x - 1.28$

Quizplus · Accepted Answer

The quadratic regression model that best fits the given data is $y = - 2.01 x ^ { 2 } - 1.1 x - 1.28$, as it minimizes the sum of squared differences between the observed and predicted values.

Use the Regression Feature of a Graphing Utility to Find