In a study, the correlation between height of parents and height of adult children was found to be +.61. The summary statistics for the group of children are: in. and S_X = 3.1 in.
(a) What percent of the children's height variance is associated with variation in parent height, and what percent is associated with other factors?
(b) Compute the amount of children's height variance associated with variation in parent height and the amount associated with other factors.
(c) In practice, which results would we normally be more interested in, those from (a) or those from (b) ? Why?

Question

In a study, the correlation between height of parents and height of adult children was found to be +.61. The summary statistics for the group of children are:

in. and S_X = 3.1 in.
(a) What percent of the children's height variance is associated with variation in parent height, and what percent is associated with other factors?
(b) Compute the amount of children's height variance associated with variation in parent height and the amount associated with other factors.
(c) In practice, which results would we normally be more interested in, those from (a) or those from (b) ? Why?

Quizplus · Accepted Answer

The Answer is (a)37% and 63%
(b)associated with variation in parent height: (a)37% and 63% (b)associated with variation in parent height: associated with other factors: (c)those from (a); the percent of variance explained does not depend on the units of measurement used.

(a)37% and 63% (b)associated with variation in parent height: associated with other factors: (c)those from (a); the percent of variance explained does not depend on the units of measurement used.

associated with other factors: (a)37% and 63% (b)associated with variation in parent height: associated with other factors: (c)those from (a); the percent of variance explained does not depend on the units of measurement used.

(c)those from (a); the percent of variance explained does not depend on the units of measurement used.

In a Study, the Correlation Between Height of Parents and Height