Practice Quiz

Six Sigma Black Belt

Category - Black Belt

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A Black Belt practitioner is using preliminary data that correlates a vehicle’s weight to its gas mileage. The goal of the study is to predict gas mileage (Y) in liters/40 miles from vehicle weight (X) in tons as seen in the equation below. What is the gas mileage of a car that weighs 2.5 tons?
Yi = 3.5 + 5Xi + 0.025
  1. 10.025
  2. 12.025
  3. 14.025
  4. 16.025
Explanation
Answer: D - The gas mileage of a car that weighs 2.5 tons is 16.025 liters/40 miles.

Key Takeaway: A simple linear regression equation is constructed to calculate an unknown variable (Y) from a known one (X) given a previously calculated set of coefficients (slope, intercept, and random error term). In this case, the gas mileage of a car depending on its weight will be calculated as such:
Yi = 3.5 + 5Xi + 0.025
Yi = 3.5 + 5(2.5) + 0.025
Yi = 16.025
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