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Based on a representative sample of college men, a regression line relating y = ideal weight tox = actual weight, for men, is given by
Ideal weight = 53 + 0.7 *actual weight
-If a man weighs 200 pounds but his ideal weight is 210 pounds, then his residual is
A) 10 pounds.
B) -10 pounds.
C) 17 pounds.
D)-17 pounds.

Question

Use the following information for questions:
 Based on a representative sample of college men, a regression line relating y = ideal weight tox = actual weight, for men, is given by
Ideal weight = 53 + 0.7 *actual weight
-If a man weighs 200 pounds but his ideal weight is 210 pounds, then his residual is
A) 10 pounds.
B) -10 pounds.
C) 17 pounds.
D)-17 pounds.

Quizplus · Accepted Answer

The residual is calculated as the actual ideal weight minus the predicted ideal weight. The predicted ideal weight for a man weighing 200 pounds is 53 + 0.7 * 200 = 193 pounds. The actual ideal weight is 210 pounds. Therefore, the residual is 210 - 193 = 17 pounds.

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