A person who is exercising should not exceed his or her maximum heart rate, which is determined on the basis of that person's sex, age, and resting heart rate. The table below relates resting heart rate and maximum heart rate for a 20-year-old man.
Resting Heart Rate, Maximum Heart Rate,
H (in beats per minute) M (in beats per minute)
50 .................................................... 166
60 .................................................... 168
70 .................................................... 170
80 .................................................... 172
(a) Use a graphing calculator to model the data with a linear function.
(b) Estimate the maximum heart rate if the resting heart rate is 40, 65, 76, and 84.
(c) What is the correlation coefficient? How confident are you about using the regression line to estimate function values?