log linear (power

Question

~~)  A coworker is considering the use of a log linear (power) model using weight to estimate the cost of a utility vehicle. They have performed the following calculations in log space using natural logarithms. Select the corresponding unit space form of this power model equation.

Log Space    b1 = 2.680741   Log Space    b0 = -2.778156
  
 
 
   Cost = 1.268074 + 0.062153 (Weight)
 
   Cost = 0.062153 (Weight) 2.680741
 
   Cost = 1.064125 (Weight) 1.268074
 
   Cost = 0.062153 + 1.268074 (Weight)

Answer 1

The four answers seem to show:

1. Cost=1+b1/10+e^b0(Weight)
2. Cost=e^b0(Weight)+b1
3. Cost=e^(e^b0)(Weight)+1+b1/10
4. Cost=e^b0+(1+b1/10)(Weight)

In the absence of knowing what b0 and b1 are, the most sensible answer seems to be (2).

ln(0.062153)=-2.778156=b0.