Researchers Investigating the Association Between the Size and Strength of Muscles

question 122

Essay

Researchers investigating the association between the size and strength of muscles
measured the forearm circumference (in inches) of 20 teenage boys. Then they measured
the strength of the boys' grips (in pounds). Their data are plotted.
a. Write a few sentences describing the association.
b. Estimate the correlation. $r =$ __________
c. If the point in the lower right corner (at about 14" and 38 lbs.) were removed, how would
the correlation become stronger, weaker, or remain about the same?
d. If the point in the upper right corner (at about 15" and 75 lbs.) were removed, would the
correlation become stronger, weaker, or remain about the same?

---

Definitions:

Price Ratio

The proportionate relationship between the prices of two goods or services, indicating how many units of one good can be exchanged for one unit of another.

Marginal Utility

The extra pleasure or benefit gained by a person from consuming one more unit of a product or service.

Total Utility

The overall satisfaction or utility that a consumer derives from consuming a certain quantity of goods or services.

Marginal Utility

The extra pleasure or benefit a consumer receives from using an additional unit of a product or service.