Math

QuestionFind the expected aptitude score for a 17-year-old using the formula: Aptitude = 111.5 - 1.14 * Age. Round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The regression line for the predicted value of aptitude given age is Aptitude =111.5 -1.14 * Age. The age of the person for whom we want to predict the aptitude test score is17 years.

STEP 2

We need to substitute the given age into the regression equation to find the expected aptitude test score.Aptitude=111.51.14AgeAptitude =111.5 -1.14 * Age

STEP 3

Substitute the age of17 years into the equation.
Aptitude=111.51.1417Aptitude =111.5 -1.14 *17

STEP 4

Calculate the result of the multiplication.
Aptitude=111.19.38Aptitude =111. -19.38

STEP 5

Subtract the result of the multiplication from111.5 to find the aptitude.
Aptitude=111.519.38=92.12Aptitude =111.5 -19.38 =92.12

STEP 6

Round the result to the nearest whole number.
Aptitude=round(92.12)=92Aptitude = round(92.12) =92The expected aptitude test score for a person whose age is17 years is92.

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