Homework Answers
1.
If horsepower of the car increases by 1 hp, the model would predict the fuel efficiency to decrease by 0.15 mpg
2.
For x = 150, the predicted fuel efficiency is,
y = 44 - 0.15 * 150 = 21.5 mpg
Residual = Actual - Predicted = 25 - 21.5 = 3.5 mpg
3.
R2 = 68% = 0.68
Correlation coefficient = 
= -0.8246 (We took the negative sign because the slope of the
regression model is negative)
4.
Since the Correlation coefficient is close to -1 and negative, there is a strong, negative, linear association between horsepower and fuel efficiency of the car.
5.
For x = 120, the predicted fuel efficiency is,
y = 44 - 0.15 * 120 = 26 mpg
Residual = Actual - Predicted
Actual = Predicted + Residual = 26 + 3.27 = 29.27 mpg
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