Suppose the variables and x = commuting distance and y = comuting time are related according to the simple linear regression model with σ = 10.
a. If n = 5observations are made at the x values x1 = 5, x2 = 10, x2 = 15, x2 = 20, and , 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?
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