Question

The correlation coefficient between what a player can squat and his respective time in the 40-yard dash is -0.67. Which of the following best describes the relationship between a player's squat weight and 40-yard dash times?

A) A negative correlation; as squat weight increases, 40-yard dash time decreases.
B) A positive correlation; as squat weight increases, 40-yard dash time increases.
C) No correlation; squat weight and 40-yard dash time are unrelated.
D) A weak correlation; there is no consistent relationship between squat weight and 40-yard dash time.

Answer 1

A correlation coefficient of -0.67 between squat weight and 40-yard dash times signifies a moderately strong negative correlation, meaning as squat weight increases, 40-yard dash times decrease.

Step-by-step explanation:

The relationship between a player's squat weight and their respective time in the 40-yard dash, given a correlation coefficient of -0.67, is a negative correlation. This means that as a player's squat weight increases, their time in the 40-yard dash decreases. A perfect negative correlation is -1, and the closer the correlation coefficient is to -1, the stronger the negative relationship. Since -0.67 is closer to -1 than it is to 0, it suggests a moderately strong negative correlation between the two variables in question. Therefore, the best description of the relationship is A) A negative correlation; as squat weight increases, 40-yard dash time decreases.