Question

Pearson and Lee obtained the following results in a study of about 400 families:

Average Height of Husband = 68 inches & SD of Husband Height = 3.0 inches
Average Height of Wife = 64 inches & SD of Wife Height = 3.0 inches
Correlation r = 0.50. Predict the height of a wife when the height of her husband is unknown.

Answer 1

To predict the height of a wife when the height of her husband is unknown, you can use the concept of linear regression. The regression equation is Height of Wife = 0.50 * Height of Husband + 30.

Step-by-step explanation:

To predict the height of a wife when the height of her husband is unknown, you can use the concept of linear regression. In this case, the height of the wife (dependent variable) is predicted based on the height of the husband (independent variable).

Using the given correlation coefficient (r = 0.50), you can calculate the regression equation:

Height of Wife = b * Height of Husband + a

To calculate the values of b and a, you need to use the formula:

b = r * (SD of Wife Height / SD of Husband Height)

a = Average Height of Wife - b * Average Height of Husband

Substituting the given values, we get:

b = 0.50 * (3.0 / 3.0) = 0.50

a = 64 - 0.50 * 68 = 64 - 34 = 30

Therefore, the regression equation is:

Height of Wife = 0.50 * Height of Husband + 30

So, if you have the height of the husband, you can use this equation to predict the height of the wife.