Question

analysis of the relationship between the fuel economy (mpg) and engine size (liters) for 35 models of cars produces the regression model mpg = 36.04 - 3.825 · engine size. if a car has a 5 liter engine, what does this model suggest the gas mileage would be? the model predicts the car would get □ mpg. (round to one decimal place as needed.)

Explanation:

Step1: Substitute engine size value

Given the regression model \( \text{mpg}=36.04 - 3.825\times\text{Engine size}\), and engine size \( = 5\) liters. Substitute \( \text{Engine size}=5\) into the formula: \( \text{mpg}=36.04-3.825\times5\).

Step2: Calculate the multiplication

First, calculate \(3.825\times5 = 19.125\).

Step3: Calculate the subtraction

Then, \( \text{mpg}=36.04 - 19.125=16.915\).

Step4: Round the result

Round \(16.915\) to one decimal place. According to the rounding rule (look at the second - decimal digit, if it is less than 5, we keep the first - decimal digit as it is), \(16.915\approx16.9\).

Answer:

\(16.9\)