To find the predicted gas mileage for the Toyota Tacoma using the given model \( f(x) = -0.0308x + 37.701 \), we need to plug the horsepower of the Toyota Tacoma into this function.
The horsepower of the Toyota Tacoma is 236.
Now, substituting \( x = 236 \) into the function:
\[ f(236) = -0.0308(236) + 37.701 \]
Calculating the first part:
\[ -0.0308 \times 236 = -7.2608 \]
Now, adding this to 37.701:
\[ f(236) = -7.2608 + 37.701 = 30.4402 \text{ (approximately)} \]
Thus, the predicted gas mileage for the Toyota Tacoma is about 30.4402 MPG.
Next, we can find the residual value. The residual is calculated as:
\[ \text{Residual} = \text{Actual Mileage} - \text{Predicted Mileage} \]
From the data, the actual gas mileage for the Toyota Tacoma is 25 MPG.
Calculating the residual:
\[ \text{Residual} = 25 - 30.4402 = -5.4402 \]
So, rounding to four decimal places, the residual value is approximately -5.4402.
Based on the options given, we choose the closest rounded value for the predicted gas mileage and the residual value:
Predicted gas mileage for the Toyota Tacoma is approximately 30.4322, so the residual value for this vehicle is approximately -5.4322.