Reconsider the situation described in Exercise 7, in which accelerated strength of concrete and cured strength. Suppose

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Reconsider the situation described in Exercise 7, in which accelerated strength of concrete and cured strength.

Suppose the simple linear regression model is valid for x between 1000 and 4000 and that and .

Consider an experiment in which , and the x values at which observations are made are

, and .

a. Calculate , the standard deviation of .

b. What is the probability that the estimated slope based on such observations will be between 1.00 and 1.50?

c. Suppose it is also possible to make a single observation at each of the values

. If a major objective is to estimate b1 as accurately as possible, would the experiment with be preferable to the one with ?

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