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? Y_i = 3.5 + 5X_i + 0.025

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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: Y_i = 3.5 + 5X_i + 0.025 Y_i = 3.5 + 5(2.5) + 0.025 Y_i = 16.025

A Black Belt Practitioner Is Using Preliminary Data That Correlates