Air pressure (psi) and temperature (F) were measured for a compression process in a certain piston-cylinder device,

Question:

Air pressure (psi) and temperature (Â°F) were measured for a compression process in a certain piston-cylinder device, resulting in the following data (from Introduction to Engineering Experimentation, Prentice-Hall, Inc., 1996, p. 153):

a. Would you fit the simple linear regression model to the data and use it as a basis for predicting temperature from pressure? Why or why not?
b. Find a suitable probabilistic model and use it as a basis for predicting the value of temperature that would result from a pressure of 200, in the most informative way possible.