From the records of a large health maintenance organization, an investigator is able to gather a sizeable sample of men for whom heights at both age 10 and as adults are known. The following are the summary statistics for this sample:

(a) Use the above values to arrive at the raw-score regression equation for predicting height as an adult from height at age 10. Present the equation in simplest form.
(b) Use the regression equation from (a) to predict adult height for the following 10-year-olds: Benny (42.5 in.), Cal (55.3 in.), Arthur (50.1 in.).
(c) Consider Benny's predictable adult height. In what sense is that value a mean? Be very specific.

Question

From the records of a large health maintenance organization, an investigator is able to gather a sizeable sample of men for whom heights at both age 10 and as adults are known. The following are the summary statistics for this sample:
  
(a) Use the above values to arrive at the raw-score regression equation for predicting height as an adult from height at age 10. Present the equation in simplest form. 
(b) Use the regression equation from (a) to predict adult height for the following 10-year-olds: Benny (42.5 in.), Cal (55.3 in.), Arthur (50.1 in.). 
(c) Consider Benny's predictable adult height. In what sense is that value a mean? Be very specific.

Quizplus · Accepted Answer

The Answer is (a) .94X + 21.9
(b) Benny: 61.8, Cal: 73.9, Arthur: 69.0
(c) estimate of the mean adult height for a large group of 10-year-olds, all of whom are 42.5 in. tall.

From the Records of a Large Health Maintenance Organization, an Investigator