Question

Andres asked if there is a relationship between the quality of sneakers worn by a sample of 20 volleyball players and their average number of points scored per game. He computed

r=0.21 and immediately claimed he had evidence that better-quality sneakers are related to better performance. (a) Is his claim correct?

a. Yes, there is a strong positive correlation.
b. Yes, there is a strong negative correlation.
c. No, the correlation is weak and not significant.
d. No, correlation does not imply causation

Answer 1

No, the correlation is weak and not significant. The claim that better-quality sneakers lead to better performance is not supported by the evidence.

Step-by-step explanation:

No, the correlation is weak and not significant. The correlation coefficient, r, measures the strength and direction of the linear relationship between two variables. In this case, the value of r is 0.21, which indicates a weak positive correlation. It means that as the quality of sneakers increases, the average number of points scored per game slightly increases, but the relationship is not strong enough to make a significant impact.

Correlation does not imply causation and it is important to remember that there could be other factors influencing the players' performance. Therefore, Andres' claim that better-quality sneakers are related to better performance is not supported by the evidence of a weak positive correlation.