The following table shows the advertised horsepower ratings X and the expected gas mileage Y (in miles per gallon) for a sample of 2012 vehicles:
Vehicle | Horsepower | Mileage |
Audi A6 | 292 | 33 |
Chevy Malibu | 246 | 26 |
Dodge Avenger | 287 | 26 |
Ford Fusion | 264 | 32 |
Nissan Altima | 184 | 28 |
Toyota Camry | 180 | 29 |
Kia Optima | 198 | 27 |
Honda Civic | 243 | 31 |
From the data, we calculate X Mean= 236.75, Y Mean= 29.63, sx= 44.64, sy = 2.5 and r = 0.6624.
(a) We would like to use the horsepower of a vehicle to explain its mileage. What is the equation of the least squares regression line?
I thought it was
Y=23.81236516+0.024572903(X)