Let the predictor variable x represent the heights (cm) of females and let the response variable y represent the weights (kg) of females. A sample of 40 heights and weights result in a standard error = 17.5436.

a. What does the value of the standard error represent?

b. The 95% prediction interval for this sample is (50.7, 123.0). Write a statement that correctly interprets this prediction interval.

c. A height of 180 cm is used to find that the predicted weight is 88.0 kg. What is the advantage of using a prediction interval for the results from the prediction interval instead of using the predicted weight of 88.0 kg?