Recall that b0 1 b1x has a normal distribution withexpected value b0 1 b1x and

Chapter 13, Problem 13

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Recall that b0 1 b1x has a normal distribution withexpected value b0 1 b1x and variances251n 1 (x 2 x )2o(xi 2 x ) 26so thatZ 5 b0 1 b1x 2 (b0 1 b1x)s11n 1 (x 2 x )2o(xi 2 x )221y2has a standard normal distribution. If S 5 SSEysn 2 2dis substituted for s, the resulting variable has a t distributionwith n 2 2 df. By analogy, what is the distributionof any particular standardized residual? If n 5 25, what is the probability that a particular standardized residual fallsoutside the interval (22.50, 2.50)?

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