Use the Regression Feature of a Graphing Utility to Find

question 51

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:

Compensating Balance

A minimum balance that must be maintained in a bank account, often required by banks as a condition for loans or to waive service charges.

Effective Annual Interest Rate

The interest rate on an investment or loan, which accounts for compounding over a given period.

Line of Credit

A flexible loan from a bank or financial institution that allows a borrower to draw down, repay, and redraw amounts up to a certain limit.