5
QuizMultiple Choice

Residuals

Question 5 • Statistics

Based on data taken from airline fares and distances flown, it is determined that the equation of the least-squares regression line is ŷ = 102.50 + 0.65x, where ŷ is the predicted fare and x is the distance, in miles. One of the flights was 500 miles and its residual was 115.00.

Answer
A
102.50
B
312.50
C
427.50
D
542.50

Explanation

At 500 miles, the predicted fare is 102.50 + 0.65(500) = $427.50. A residual is the actual fare minus the predicted fare, so the actual fare is $427.50 + $115.00 = $542.50. The correct choice is $542.50.

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