After Some Experimentation, You Have Observed the Following Data Concerning

question 31

Multiple Choice

After some experimentation, you have observed the following data concerning the relationship between marketing and sales. Use Excel's curve fitting method to find the best quadratic equation to model this relationship.
$\begin{array}{|l|c|c|c|c|c}\hline \begin{array}{l}\text { Marketing } \\(\$) \end{array} & 100 & 110 & 120 & 130 & 140 \\\hline \begin{array}{l}\text { Sales } \\(\$ 100) \end{array} & 310 & 400 & 500 & 600 & 700 \\\hline\end{array}\begin{array}{|r|r|r|r|r|r|}\hline \\150 & 160 & 170 & 180 & 190 & 200 \\\hline \\850 & 975 & 1,100 & 1,300 & 1,425 & 1,600 \\\hline\end{array}$

• A) 0.11x2 + 1.4x + 40
• B) 0.05x2 ? 1.1x ? 44
• C) 0.05x2 + 1.1x + 44
• D) 0.11x2 ? 1.4x ? 40
• E) 0.05x2 ? 1.1x + 44

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Definitions:

Intramolecular Aldol

A chemical reaction where an aldol condensation occurs within a single molecule, forming a cyclic compound.

2,6-heptanedione

An organic compound characterized by a seven-carbon chain with ketone groups located at the second and sixth carbons.

Crossed Aldol Reaction

An aldol reaction where two different aldehydes or ketones are combined in the presence of a base or acid to produce a β-hydroxy aldehyde or ketone.

Self-aldol Condensation

A reaction where an aldehyde or ketone undergoes condensation with itself in the presence of a base to form a β-hydroxycarbonyl compound (an aldol) or a dehydrated version thereof.