Question

question 4
the speed in miles per hour vs the mileage in miles per gallon for a certain vehicle are displayed below.
a quadratic regression was performed on the data and the graph of the curve was applied. for which speed does extrapolation lead to physically impossible conclusions?
○ 0 mph
○ 95 mph
○ 125 mph
○ 50 mph

Explanation:

Extrapolation uses the regression curve outside the range of observed data. Mileage (mpg) cannot be negative, which is physically impossible. The quadratic curve will drop below zero at very high speeds. 125 mph is far outside the typical speed range for the data shown, so extrapolating to this speed would result in negative mpg, a physically impossible value. The other speeds are within or closer to the reasonable range where mpg remains positive.

Answer:

125 mph