Question: 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

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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