Suppose That the Regression Equation Y = 16

question 31

Multiple Choice

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.Assume also that this equation is stable through time,the average adult female height is currently 63.8 inches and the average adult male height is 69.7 inches.Approximately what would be the average female height in two generations? You can assume that each individual has parents of average height.

• A) There is not enough information to determine the average female height in two generations.
• B) 66 inches.
• C) 67.25 inches
• D) 67.33 inches
• E) 67.82 inches

---

Definitions:

Standard Normal Distribution

A specific probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Z-score

A metric that depicts how far a certain value stands from the mean of a collection of values, using the unit of standard deviations for measurement.

First Quartile

The value below which 25% of the data falls, marking the lower quarter of a data set.

Quartile

A type of quantile that divides a rank-ordered dataset into four equal parts.