# Question: The term regression was originally used in 1885 by Sir

The term regression was originally used in 1885 by Sir Francis Galton in his analysis of the relationship between the heights of children and parents.

He formulated the “law of universal regression,” which specifies that “each peculiarity in a man is shared by his kinsmen, but on average in a less degree.” (Evidently, people spoke this way in 1885.) In 1903, two statisticians, K. Pearson and A. Lee, took a random sample of 1,078 father–son pairs to examine Galton’s law (“On the Laws of Inheritance in Man, I. Inheritance of Physical Characteristics,” Biometrika 2:457–462). Their sample regression line was

Son’s height = 33.73 + .516 × Father’s height

a. Interpret the coefficients.

b. What does the regression line tell you about the heights of sons of tall fathers?

c. What does the regression line tell you about the heights of sons of short fathers?

He formulated the “law of universal regression,” which specifies that “each peculiarity in a man is shared by his kinsmen, but on average in a less degree.” (Evidently, people spoke this way in 1885.) In 1903, two statisticians, K. Pearson and A. Lee, took a random sample of 1,078 father–son pairs to examine Galton’s law (“On the Laws of Inheritance in Man, I. Inheritance of Physical Characteristics,” Biometrika 2:457–462). Their sample regression line was

Son’s height = 33.73 + .516 × Father’s height

a. Interpret the coefficients.

b. What does the regression line tell you about the heights of sons of tall fathers?

c. What does the regression line tell you about the heights of sons of short fathers?

## Answer to relevant Questions

Attempting to analyze the relationship between advertising and sales, the owner of a furniture store recorded the monthly advertising budget ($ thousands) and the sales ($ millions) for a sample of 12 months. The data are ...Florida condominiums are popular winter retreats for many North Americans. In recent years, the prices have steadily increased. A real estate agent wanted to know why prices of similar-sized apartments in the same building ...In an attempt to determine the factors that affect the amount of energy used, 200 households were analyzed. In each, the number of occupants and the amount of electricity used were measured. Determine the regression line and ...Calculate the coefficient of determination and conduct a test to determine whether a linear relationship exists between housing starts and mortgage interest in Exercise 16.3.Refer to Exercise 16.12.a. Determine the standard error of estimate, and describe what this statistic tells you about the regression line.b. Can we conclude that the size and price of the apartment building are linearly ...Post your question