In a forensic study of the relation between time since death (hrs) and the thigh temperature in deer (F), a regression analysis of y = time since death on x = thigh temperature was performed. From their examination of the data the investigators felt that the assumptions of the linear regression model were satisfied. Summary quantities from this analysis yield: 
a) Calculate the estimated standard deviation of a + bx* for x* = 80.
b) For what value x* is the estimated standard deviation of a + bx* smallest, and why?
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