CCGPS AG 5.9.2 Example 3

Doctors recommend that most people exercise for minutes every day to stay healthy. To get the best results, a person’s heart rate while exercising should reach between % and % of his or her maximum heart rate, which is usually found by subtracting your age from . The peak rate should occur at around the 25th minute of exercise. Alice is years old, and her maximum heart rate is beats per minute (bpm). Assume that her resting rate is bpm. The table at the bottom right shows Alice’s heart rate as it is measured every minutes for minutes while she exercises. Interpret the model. Make a scatter plot of the data. Use a graphing calculator to find a quadratic regression model for the data. Use your model to extrapolate Alice’s heart rate after minutes of exercise.
  1. Make a scatter plot of the data.
  2. Find a quadratic regression model using your graphing calculator.
  3. Use your model to extrapolate Alice’s heart rate after minutes of exercise.
  4. Interpret the model.