Difficult# Logarithmic Transformation:

APSTAT-EMJBL0

Speed vs. Miles per Gallon

A consumer report gave the following regression equation on the relationship between the speed ($S$) in miles per hour and the average miles per gallon at that speed ($a$) for a particular car:

$$\widehat {\log (a)} =0.971+0.363\cdot\log (s)$$

Which of the following is closest to the predicted average miles per gallon when the speed of the car is $45$ miles per hour?