In a population, the correlation coefficient between weight and adiposity is 0.9. The mean weight is 150 kg. The standard deviation in weight is 30 kg. Adiposity is measured on a scale such that the mean is 0.8, and the standard deviation is 0.1.
a. Using this information, predict the expected adiposity of a subject whose weight is 170 kg.
b. Using this information, predict the expected weight of a subject whose adiposity is 0.75.
c. How reliable do you expect this prediction to be? Why? (Your answer should be a property of correlation, not an opinion about adiposity or weight)