Reference no: EM132843443

Consider a linear regression model estimating the fuel efficiency of a car in terms miles per gallon of gas (mpg) based on its origin (region A, B or C) and number of cylinders with the following formula:

m p g = b 0 + b 1 ∗ R e g i o n B + b 2 ∗ R e g i o n C + b 3 ∗ C y l i n d e r s

The estimated values of the regression coefficients are provided below:

b 0
= 40.7
b 1
= -0.91
b 2
= 2.66
b 3
= -3.15

Based on this model, if X is the mpg of a car with 4 cylinders originated from region B, and Z is the mpg of a car with 3 cylinders originated from region A, what is the value of X - Z?