Question

In psychology, aptitude tests are designed to measure the ability to learn. Questions are designed to be age appropriate so as not to be biased toward age due to knowledge acquired. In this study, an aptitude test is given on the skills necessary to use apps on a smart phone. An aptitude test with a maximum score of 150 is given to measure the ability to learn how to use apps on a smartphone.
The regression line for the predicted value of aptitude given age is as follows:
Aptitude = 111.3 - 1.13*Age
Find the expected aptitude test score for a person whose age is 15 years. Your answer should be rounded to the nearest whole number.

Answer 1

Answer:

The expected aptitude test score for a person whose age is 15 years is 94.

Step-by-step explanation:

Aptitude formula in function of age:

The aptitude A in function of age a is given by:

$A(a) = 111.3 - 1.13a$

Find the expected aptitude test score for a person whose age is 15 years.

This is A when a = 15. Thus, finding the numeric value of the function:

$A(a) = 111.3 - 1.13a$

$A(15) = 111.3 - 1.13(15) = 94.35$

Rounding to the nearest whole number, 94.