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

question 72

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 and hours of exercise per week.

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

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Definitions:

Standard Deviation

A measure of the dispersion or variability within a set of data points, indicating how much individual data points differ from the mean of the data set.

Raw Scores

The original, unadjusted scores obtained directly from a test or assessment.

Test-retest Reliability

The consistency of a measure assessed over time with the same participants.

SAT Type Score

A standardized score typically associated with college admissions tests like the SAT, used to compare students' academic aptitude.