Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name “regression” originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studenth = 19.6 + 0.73×Midparh, SEE = 2.0 and R2 = 0.45, where Studenth is the height of students in inches, and Midparh is the average of the parental heights. (Following Galton’s methodology, both variables were adjusted so that the average female height was equal to the average male height.) a) Interpret the estimated slope coefficient. b) What is the prediction for the height of a child whose parents have an average height of 70.06 inches?
Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name “regression” originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship:
Studenth = 19.6 + 0.73×Midparh, SEE = 2.0 and R2 = 0.45,
where Studenth is the height of students in inches, and Midparh is the average of the parental heights. (Following Galton’s methodology, both variables were adjusted so that the average female height was equal to the average male height.)
a) Interpret the estimated slope coefficient.
b) What is the prediction for the height of a child whose parents have an average height of 70.06 inches?
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