Solution:
Given regression equation is,
Population=3.3277772+0.054110317*Motor vehicle
facilities
This is not correct or not reasonable because, we have to
predict the number of motor vehicle facilities in a western state
with a forecast of 4 million people.
In this case, our response should be motor vehicle facilities(y)
with regressor population(x).
Since the regression equation will be in the form of:
motor vehicle facilities= β0 +
β1*Population
For the analysis, the R-code is,
>
Motor_vehicle_facility=c(87,1117,742,119,264,270,381,449,436,328,659,176)
> Population=c(7,50,47,13,14,9,24,19,36,25,63,5)
> model=lm(Motor_vehicle_facility~Population)
> model
#OutPut
Call:
lm(formula = Motor_vehicle_facility ~ Population)
Coefficients:
(Intercept)Â Â Population
    Â
74.58Â Â Â Â Â Â Â 13.25
Therefore, the correct regression eq. is,
motor vehicle facilities= 74.58 +
13.25*Population
and forecast at population=4 Million peoples is,
motor vehicle facilities= 74.58 + 13.25*4
            Â
                            =127.58
