The following output (from MINITAB) is for the least-squares fit of the model ln y = β0 + β1 ln x + ε, where y represents the monthly production of a gas well and x represents the volume of fracture...

The following output (from MINITAB) is for the least-squares fit of the model ln y = β0 + β1 ln x + ε, where y represents the monthly production of a gas well and x represents the volume of fracture fluid pumped in. (A scatterplot of these data is presented in Figure 7.22.)

a. What is the equation of the least-squares line for predicting ln y from ln x?

b. Predict the production of a well into which 2500 gal/ft of fluid have been pumped.

c. Predict the production of a well into which 1600 gal/ft of fluid have been pumped.

d. Find a 95% prediction interval for the production of a well into which 1600 gal/ft of fluid have been pumped. (Note: ln 1600 = 7.3778.)