It Is Determined That a Positive Linear Association Exists Between $= 4.68 + 3.40$

question 13

Multiple Choice

It is determined that a positive linear association exists between age (for children between the agesof 3 and 9 years) and attention span (measured in minutes) . The scatterplot below shows theassociation. The prediction equation is also given. A college instructor uses the model to predict theattention span of the students in her class who have an average age of 29. Choose the best statementto summarize why this is not an appropriate use for the model.

attention span $= 4.68 + 3.40$ (age)

• A) This is an inappropriate use of the model because the model was used to make predictions beyond the scope of the data. The college instructor is extrapolating.
• B) This is an inappropriate use of the model because age does not cause attention span to Increase. Correlation does not mean causation.
• C) This is an inappropriate use of the model because a 29-year-old person would be an outlier In this context.

---

Definitions:

Equivalent Amount

A sum of money that is equal in value to a different amount in another currency or under different conditions.

Present Value

The current value of a future amount of money or stream of cash flows, discounted at a particular interest rate.

Compounded Quarterly

A method of calculating interest where the interest is added to the principal four times a year, resulting in the interest from one quarter earning interest in the next.

Compounded Semi-annually

Interest calculation method where the interest is added to the principal amount after every six months, increasing the total amount on which future interest accruals are based.