Suppose the IQ Scores $( y$ , Rounded to the Nearest $10 )$

question 117

Multiple Choice

Suppose the IQ scores $( y$ , rounded to the nearest $10 )$ for a group of people are summarized in the table below. Use the regression feature of a graphing utility to find a quadratic function of the form $y = a x ^ { 2 } + b x + c$ for the data.
$\begin{array}{|c|c|}\hline \text { IQ Score } & \text { Number of People } \\\hline \boldsymbol{y} & \boldsymbol{x} \\\hline 70 & 53 \\\hline 80 & 72 \\\hline 90 & 93 \\\hline 100 & 90 \\\hline 110 & 78 \\\hline 120 & 47 \\\hline 130 & 16 \\\hline\end{array}$

• A) \(y = - 0.04 x ^ { 2 } + 14.93 x - 404.96\)
• B) \(y = - 0.06 x ^ { 2 } + 11.94 x - 476.43\)
• C) \(y = - 0.08 x ^ { 2 } + 10.87 x - 500.25\)
• D) \(y = - 0.07 x ^ { 2 } + 13.5 x - 452.61\)
• E) \(y = - 0.09 x ^ { 2 } + 8.48 x - 547.89\)

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Definitions:

Capital Investment

The expenditure of funds by a firm to acquire physical assets, such as property, plant, or equipment, to improve its long-term income and profitability.

Net Present Value Method

A method of analysis of proposed capital investments that subtracts the amount to be invested from the present value of the cash flows expected from the investments.

Cash Payback Method

A capital budgeting technique that calculates the time required to recoup the cost of an investment based on its expected cash flows.

Capital Investment

Funding provided to a business entity to purchase physical assets, like equipment or buildings, or to use in operations to stimulate growth.