A Fitness Rating Was Obtained for 9 Randomly Selected Adult

question 62

Multiple Choice

A fitness rating was obtained for 9 randomly selected adult women. Each person was also asked her age, weight, and the number of hours she spent exercising each week. The results are shown below. $\begin{array}{c|rrrrrrrrr}\text { Age } & 39 & 27 & 41 & 48 & 56 & 59 & 22 & 64 & 35 \\\hline \text { Weight } & 140 & 129 & 137 & 125 & 162 & 152 & 118 & 142 & 126 \\\hline \text { Hours of exercise } & & & & & & & & & \\\text { per week } & 2 & 6 & 4 & 9 & 0 & 3 & 11 & 3 & 4 \\\hline \text { Fitness rating } & 72 & 88 & 63 & 84 & 47 & 52 & 90 & 31 & 64\end{array}$
Identify the multiple regression equation that expresses fitness in terms of age and hours of exercise per week.

• A) \(\hat { \mathrm { F } } = 93.20 - 0.869 \mathrm {~A} + 2.19 \mathrm { E }\)
• B) \(\hat { \mathrm { F } } = 12.98 + 0.871 \mathrm {~A} + 3.71 \mathrm { E }\)
• C) \(\hat { F } = 104.0 - 1.27 \mathrm {~A} + 4.08 \mathrm { E }\)
• D) \(\hat { \mathrm { F } } = 67.12 - 0.451 \mathrm {~A} + 7.29 \mathrm { E }\)

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Definitions:

Mutually Beneficial Trades

Exchanges between parties that improve the welfare of all involved, typically occurring in markets where buyers and sellers agree on terms that leave them both better off.

Monopolist

A firm that is the only producer of a good that has no close substitutes.

Linear Demand Curve

A graphical representation showing how the quantity demanded of a good or service varies with its price, typically depicted as a straight line on a graph.

Consumer Surplus

The difference between the maximum price a consumer is willing to pay for a good or service and the actual price they pay, reflecting consumer benefit.