Suppose the variables x = commuting distance and y = comuting time are related according to the simple linear regression model with s = 10.
a. If n = 5 observations are made at the x values x1 = 5, x2 = 10, x3 = 15, x4 = 20, and x5 = 25, calculate the standard deviations of the five corresponding residuals.
b. Repeat part (a) for x1 = 5, x2 = 10, x3 = 15, x4 = 20, and x5 = 50.
c. What do the results of parts (a) and (b) imply about the deviation of the estimated line from the observation made at the largest sampled x value?