A Zumba instructor remembers the data given in the following

A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages.

 Age (x years)                20                    40                     60

 Maximum heart rate    170                 153                  136 

(y beats per minute) 

a. Find the linear correlation coefficient for the data.

b. What is the significance of the value found in part a?

c. Find the equation of the least-squares line. 

d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72.

e. Is the procedure in part d an example of interpolation or extrapolation?

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