Modeling Data The endpoints of the interval over which distinct vision is possible are

Chapter 13, Problem 48

(choose chapter or problem)

Modeling Data The endpoints of the interval over which distinct vision is possible are called the near point and far point of the eye. With increasing age, these points normally change. The table shows the approximate near points in inches for various ages (in years). (a) Find a rational model for the data by taking the reciprocal of the near points to generate the points Use the regression capabilities of a graphing utility to find a least squares regression line for the revised data. The resulting line has the form Solve for (b) Use a graphing utility to plot the data and graph the model. (c) Do you think the model can be used to predict the near point for a person who is 70 years old? Explain.