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
Age,

16 
32 
44 
50 
60 
Near Point,

3.0 
4.7 
9.8 
19.7 
39.4 
(a) Find a rational model for the data by taking the reciprocals of the near points to generate the points
(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.
(a)
To calculate: The expression for y by first obtaining the least square regression line for the reciprocal of the near points using the table given below.
Age, x  16  32  44  50  60 
Near Point, y  3.0  4.7  9.8  19.7  39.4 
Given: The data for the near point of the vision with age as below.
Age, x  16  32  44  50  60 
Near Point, y  3.0  4.7  9.8  19.7  39.4 
Calculation: Take the reciprocal values of y to obtain the new data set.
Age, x  16  32  44  50  60 
Near Point, y  0.213  0.102  0.051  0.025 
The regression line can be calculted using the Maple command:
Maple Command:
(b)
To graph: The model along with the original data points using the table given below.
Altitude, h  0  5  10  15  20 
Pressure, P  10,332  5583  2376  1240  517 
(c)
Whether the model
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