Question

We have a model to predict sprint times from hours spent training per week in a sample of athletes. The predicted time for an athlete that spends 0 hours training is 30.4 seconds, and time decreases by 0.6 seconds for every hour increase in training. What is our model?

A. time = 30.4 + 0.6*hours
B. hours = 30.4 + 0.6*time
C. time = 30.4 -0.6*hours
D. hours = 30.4 - 0.6*time

Answer 1

The model predicting sprint times as a function of training hours is C. time = 30.4 - 0.6*hours, indicating a decrease in time with more training.

Step-by-step explanation:

The model to predict sprint times based on hours spent training per week is a linear function where the initial sprint time for 0 hours of training is 30.4 seconds, and the time decreases by 0.6 seconds with each additional hour of training.

Since the time decreases with more training, we use negative correlation. Therefore, the model is C. time = 30.4 - 0.6*hours.

This means that the predicted time (in seconds) for an athlete that spends 0 hours training is 30.4 seconds.

For every hour increase in training, the time decreases by 0.6 seconds.

The correct model to predict sprint times is option A: time = 30.4 + 0.6*hours.