Find the Indicated Multiple Regression Equation Identify the Multiple Regression Equation That Expresses Fitness in Terms

question 62

Multiple Choice

Find the indicated multiple regression equation.
-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.
$\begin{array}{r|rrrrrrrrr}\text { Age } & 39 & 27 & 41 & 48 & 56 & 59 & 22 & 64 & 35 \\\hline \text { Weight } & 140 & 129 & 137 & 125 & 162 & 152 & 118 & 142 & 126 \\\hline \text { Hours of exercise per week } & 2 & 6 & 4 & 9 & 0 & 3 & 11 & 3 & 4 \\\hline \text { Fitness rating } & 72 & 88 & 63 & 84 & 47 & 52 & 90 & 31 & 64\end{array}$

Identify the multiple regression equation that expresses fitness in terms of age, weight, and hours of exercise per week.

• A) \(\hat { \mathrm { F } } = 45.12 - 0.918 \mathrm {~A} + 0.461 \mathrm {~W} + 2.34 \mathrm { E }\)
• B) \(\hat { \mathrm { F } } = 36.07 - 1.02 \mathrm {~A} + 0.429 \mathrm {~W} + 3.30 \mathrm { E }\)
• C) \(\hat { F } = 52.46 - 2.14 \mathrm {~A} + 1.39 \mathrm {~W} + 2.48 \mathrm { E }\)
• D) \(\hat { F } = 23.79 - 1.36 \mathrm {~A} + 0.241 \mathrm {~W} + 1.43 \mathrm { E }\)

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Definitions:

Formula

A mathematical relationship or rule expressed in symbols, typically used to solve problems or to define a process.

Truth Table

A mathematical table used in logic to determine the truth values of a logical expression based on the truth values of its inputs.

Argument

A series of statements or reasons made to persuade others that an action or idea is right or wrong.

Imply

To suggest or express something indirectly, without stating it explicitly.