Lauren is a professional dancer booked for a major event. Although she has a rigorous practice schedule, she sometimes has to end a practice session when she begins to experience stiffness. She wonders if stretching more before starting a session will allow her to practice for a longer time.
Over the next few days Lauren varies the number of minutes she stretches before the start of her session, x, and notes the number of minutes she can practice before experiencing stiffness, y.
The least squares regression line of this data set is:
y = 0.608x + 175.157
How long of a practice session does this line predict if Lauren spends 30 minutes stretching?
Round your answer to the nearest thousandth.
______ minutes
y = 0.608(30) + 175.157
y = 18.24 + 175.157
y = 193.397
The regression line predicts that Lauren can practice for approximately 193.397 minutes if she spends 30 minutes stretching.