Math Snap

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.$$Aptitude =111.5 -1.14 * Age$$

STEP 3

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

STEP 4

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

STEP 5

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

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