The following data were obtained in a study of the relationship between the weight and chest size of infants at birth:
Weight (kg) Chest Size (cm)
275...................................29.5
2.15................................... 26.3
4.41................................... 32.2
5.52................................... 36.5
3.21................................... 27.2
4.32................................... 27.7
2.31................................... 28.3
4.30................................... 30.3
3.71...................................28.7
(a) Calculate r.
(b) Test the null hypothesis that p = 0 against the alternative that p > 0 at the 0.0i level of significance.
(c) What percentage of the variation in the infant chest sizes is explained by difference in weight?