Use the Regression Feature of a Graphing Utility to Find

question 15

Multiple Choice

Use the regression feature of a graphing utility to find a quadratic model for the data below.
$\begin{array}{|r|c|}\hline \boldsymbol{x} & \boldsymbol{y} \\\hline-2 & 15.7 \\\hline-1 & 3.5 \\\hline 0 & -2.7 \\\hline 1 & -2.9 \\\hline 2 & 3.7 \\\hline 3 & 15.8 \\\hline 4 & 33.6 \\\hline\end{array}$

• A) \(y = 2.89 x ^ { 2 } - 3.35 x - 2.9\)
• B) \(y = 2.73 x ^ { 2 } - 3.2 x - 2.75\)
• C) \(y = 3.34 x ^ { 2 } - 2.9 x - 2.7\)
• D) \(y = 3.19 x ^ { 2 } - 2.74 x - 2.4\)
• E) \(y = 3.04 x ^ { 2 } - 3.05 x - 2.61\)

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Definitions:

Short-run Data

refers to information or statistical figures that capture economic activities or trends over a relatively brief period, emphasizing immediate effects rather than long-term patterns.

Competitive Firm

A business operating in a market where it has little to no influence on the prices of its products due to the presence of numerous competitors.

Total Profit Curve

A graphical representation that shows how a firm's profit varies with different levels of output.

Competitive Firm

A business that operates in a market where it must set prices competitively, influenced by supply and demand, without having significant market power.