Data from a large population indicate that the heights of mothers and daughters in this population follow a bivariate normal distribution with correlation 0.5. Both the mothers and daughters have a mean height of 5 ft 4in with a standard deviation on 2 inches.
Find a prediction for the daughter’s height if the mother’s height is 5 ft 10 in. Attach a standard error to this prediction.
I can predict the height but am completely lost when trying to compute the standard error attached to this prediction. Is this just the standard deviation? Thanks in advance.