Question

question 2
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. at which speed(s) would the vehicle average approximately 20 miles per gallon?

• 25 mph
• 25 mph and 70 mph
• 10 mph and 80 mph
• 10 mph

Explanation:

The quadratic curve is symmetric, and a mileage of 20 mpg will correspond to two distinct speeds on either side of the curve's peak. Among the options, 25 mph (on the rising side) and 70 mph (on the falling side) match this behavior, as they are the pair of speeds that would align with the same 20 mpg value on the quadratic regression curve.

Answer:

B. 25 mph and 70 mph