The incidence of the disease shingles increases with age, as shown by the following table.(a) Plot the data. Does fitting an exponential curve to the data seem reasonable?
(b) Use the data for 7 years and 75 years to find a function of the form ƒ(t) = C • ɑ^t that goes through these two points.
(c) Use your function from part (b) to predict the incidence of shingles for ages 22 and 45. How well do these predictions fit the data?
(d) If you have a graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with the answer to part (b)?

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Age 7 22 35 45 55 65 75 Cases per 1000 person-years 1.1 1.4 2.0 2.9 4.6 6.9 9.5