Question: The endpoints of the interval over which distinct vision is possible are called the near point and far point of the eye (see figure). With
-1.png)
-2.png)
(a) Use the regression feature of a graphing utility to find a quadratic model for the data. Use the graphing utility to plot the data and graph the model in the same viewing window.
(b) Find a rational model for the data. Take the reciprocals of the near points to generate the points (x, 1/y). Use the regression feature of the graphing utility to find a linear model for the data. The resulting line has the form
1 /y = ax + b.
Solve for y. Use the graphing utility to plot the original data and graph the model in the same viewing window.
(c) Use the table feature of the graphing utility to construct a table showing the predicted near point based on each model for each of the ages in the original table. How well do the models fit the original data?
(d) Use both models to estimate the near point for a person who is 25 years old. Which model is a better fit?
(e) Do you think either model can be used to predict the near point for a person who is 70 years old? Explain.
Object blurry Object clear Object blurry Near Far point point Age, x Near Point, y 16 3.0 32 4.7 44 9.8 50 19.7 60 39.4
Step by Step Solution
3.45 Rating (164 Votes )
There are 3 Steps involved in it
3 a y 0031x 2 159x 210 b 1 y 0007x 044 y 1 0007 044 c ... View full answer

Get step-by-step solutions from verified subject matter experts
Document Format (1 attachment)

1383-M-C-P-E(970).docx
120 KBs Word File