. There is a strongly linear association between the weight of a football player and the time in seconds it takes for that player to run a 100-yard dash. Knowing this, a reasonable value for the correlation r between weight and 100-yard dash time would be
Assuming that heavier football players would run more slowly and predictability was not perfect, I might expect r = approx. -.50 to -.70.
To determine the reasonable value for the correlation coefficient (r) between weight and 100-yard dash time, we need more specific information about the strength of the linear association. However, based on the given statement that there is a strongly linear association between weight and 100-yard dash time, we can infer that the correlation coefficient is expected to be close to either +1 or -1.
A positive value for r indicates a positive linear association, meaning that as weight increases, the time for the 100-yard dash also increases. On the other hand, a negative value for r would imply a negative linear association, meaning that as weight increases, the time for the 100-yard dash decreases.
Therefore, a reasonable value for the correlation coefficient (r) between weight and 100-yard dash time, given the strongly linear association, would be close to +1 or -1.
To determine a reasonable value for the correlation coefficient (r) between weight and 100-yard dash time for football players, we can use statistical methods. The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 represents a strong negative relationship, +1 represents a strong positive relationship, and 0 represents no relationship.
To calculate the correlation coefficient, you would typically need a dataset of weights and corresponding 100-yard dash times for multiple football players. By using statistical software or tools like Microsoft Excel, you can perform a correlation analysis to obtain the value of r.
For this specific scenario, where it is stated that there is a "strongly linear association between weight and 100-yard dash time", we can infer that there would be a positive correlation between the two variables. As weight increases, the 100-yard dash time would likely increase as well. Therefore, a reasonable value for the correlation coefficient (r) would be close to +1.
However, without the actual data and calculating the correlation coefficient, we cannot provide a precise value. So, it is essential to collect the relevant data and perform the correlation analysis to determine the exact value of r.