Question

A sports physiologist randomly selected 48 athletes and measured both their weight and how much weight they could lift. She found the correlation coefficient for these two variables to be r=0.850 . Which of the following can be concluded, based on this information?

a. On average, an athlete can lift 85% of his body weight.
b. If one athlete weighs 1 pound more than another, he can expect to lift 0.850 pounds more than the other.
c. The more an athlete weighs, the more he can lift, on average.
d. 85% of the athlete's lifting ability can be attributed to his weight.

Answer 1

Option c) The more an athlete weighs, the more he can lift, on average.

Explanation:

We are given the following information in the question:

Sample size = 48

The correlation between body weight and how much weight athlete could lift is 0.850

Correlation:

• Correlation is a technique that help us to find or define a relationship between two variables.

• A positive correlation means that an increase in one quantity leads to an increase in another quantity

• A negative correlation means with increase in one quantity the other quantity decreases.

Thus, a high positive correlation shows that Option c) The more an athlete weighs, the more he can lift, on average.