Maria Mathias (A-13) conducted a study of hyperactive children. She measured the children’s attitude, hyperactivity, and social behavior before and after treatment. The following table shows for 31 subjects the age and improvement scores from pre-treatment to post-treatment for attitude

(ATT), social behavior (SOC), and hyperactivity (HYP). A negative score for HYP indicates an improvement in hyperactivity; a positive score in ATT or SOC indicates improvement. Perform an analysis to determine if there is evidence to indicate that age (years) is correlated with any of the three outcome variables. Let for all tests.

Subject No. AGE ATT HYP SOC 1 9 1.2 1.2 0.0 2 9 0.0 0.0 1.0 3 13 0.4 0.0 0.2 4 6 0.4 0.2 1.2 5 9 1.0 0.8 0.2 6 8 0.8 0.2 0.4 7 8 0.6 0.2 0.6 8 9 1.2 0.8 0.6 9 7 0.0 0.2 0.8 10 12 0.4 0.8 0.4 11 9 0.8 0.8 0.2 12 10 1.0 0.8 1.2 13 12 1.4 1.6 0.6 14 9 1.0 0.2 0.2 15 12 0.8 0.8 1.0 16 9 1.0 0.4 0.4 17 10 0.4 0.2 0.6 18 7 0.0 0.4 0.6 19 12 1.1 0.6 0.8 20 9 0.2 0.4 0.2 21 7 0.4 0.2 0.6 22 6 0.0 3.2 1.0 23 11 0.6 0.4 0.0 24 11 0.4 0.4 0.0 25 11 1.0 0.7 0.6 26 11 0.8 0.8 0.0 Subject No. AGE ATT HYP SOC 27 11 1.2 0.6 1.0 28 11 0.2 0.0 0.2 29 11 0.8 1.2 0.3 30 8 0.0 0.0 0.4 31 9 0.4 0.2 0.2