Use the Regression Feature of a Graphing Utility to Find

question 4

Multiple Choice

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) \(y = - 2.01 x ^ { 2 } - 1.1 x - 1.28\)

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Definitions:

Economies Of Scale

Cost advantages reaped by companies when production becomes efficient, leading to a decrease in the per-unit cost as output increases.

Diseconomies Of Scale

The situation when a firm's costs per unit increase as it produces more output, opposite of economies of scale.

ATC Curve

A graphical representation of the average total costs of production at different levels of output in economics.

AVC Curve

The average variable cost curve, which shows a firm's average variable costs of production at different levels of output.