SOLUTION: Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s

Question 1150479: Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______.
A)x3; a brother is expected to be 5.31 inches taller than his sister
B)x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals’ heights will differ by 0.32 inch.
C)x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals’ heights will differ by 0.41 inches.
D)x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals’ heights will differ by 1 inch.
E)x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals’ heights will differ by 0.41 inches.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

ANSWER A.

The difference between a brother and sister is 5.31 times x3; x3 is 1 for a male and 0 for a female. So the expected difference between the heights of a brother and sister is 5.31*(1-0) = 5.31.

Since A is the answer, presumably choices B to E are all incorrect.

x1 relates to the mother's height and x2 to the father's height; that means answer choice C can't be right.

And for answer choices B, D, and E, the coefficients in the equation don't match with the information given in the answer choices.

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