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8) In the model y = [3'0 + 313: + 3 with 24 observations, you estimate a slope of 0.31 with a standard error of 0.082 a. Test that the slope is zero with the alternative that it is not at the 1% level b. Test that the slope is zero with the alternative that it is positive at the 1% level c. Draw the rejection region for a and b d. What is a 99% interval estimate of the slope? 9) Approximately what is the probability that a random variable with chi-squared distribution with 264 degrees of freedom is less than 297? 2 4 :| and B = 1 5 compute AB, A'B', and BA. 6 2 133 10) For the matrices A = [ 2 4 1