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Continue with the SENIC Project data. Consider the regression of average length of stay on infection risk. (a) Use the Bonferroni method to obtain simultaneous

Continue with the SENIC Project data. Consider the regression of average length of stay on infection risk.

  1. (a) Use the Bonferroni method to obtain simultaneous 95% confidence intervals for 0 and 1. Interpret.
  2. (b) A researcher suggested that 0 should be 7 and 1 should be 1. Do the data support this expectation? Assess in two ways: (1) by reference to the intervals in part (a); and (2) by reference to a 95% confidence band for the mean function E(Y |X = x) = 0 + 1x. Are your conclusions consistent? Explain.
  3. (c) We wish to simultaneously estimate the expected average stay at hospitals with average infections risks x = 2, 3, 4, 5 with 95% family-wise confidence. Use the Bonferroni method to construct the desired intervals. Interpret your results.

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