Question

a researcher wants to explore the relationship between two variables: time 1 and time 2. select one answer 10 points a group of student athletes was training for an obstacle course event by practicing a variety of exercises. their coach wanted to know if the exercises were in fact related to their time to complete the obstacle course. time 1 was each athletes time (in seconds) for 20 repetitions of shuttle runs (running back and forth between 2 cones placed 25 meters apart) during training. time 2 was the same athletes time (in seconds) to complete the obstacle course during the competition. if the coach wants to see if there was an association between time to complete 20 shuttle runs during training (in seconds) and the time to complete the obstacle course during competition (in seconds), which of the following is the appropriate inference method to analyze these data? a. inference for regression b. two independent samples c. matched pairs

Explanation:

• Inference for regression: This method is used to explore the relationship between a dependent variable and one or more independent variables. Here, we want to see if there is an association between Time 1 (independent variable - training time) and Time 2 (dependent variable - competition time). Regression analysis can help us model this relationship and check for significance.
• Two - independent samples: This is used when we have two separate groups (e.g., two different sets of athletes) and we want to compare a characteristic (like time) between them. But in this case, it's the same group of athletes with two related time measurements.
• Matched pairs: Usually used when we have pairs of data (e.g., before - and - after measurements on the same subjects for a single variable). Here, we are dealing with the relationship between two different variables (Time 1 and Time 2) for the same subjects, not a before - and - after for a single variable.

Answer:

A. Inference for regression