Question: A drug is being tested. One purpose of the test is to demonstrate the efficacy of the drug, but another is to measure incidence of a certain side effect (lowered body temperature). The following table gives numbers of randomly chosen patients in ten states, together with the number exhibiting the side effect:
(a) Show that there is a significant linear correlation between number of patients and incidents of this side effect.
(b) Determine the equation of the regression line.
(c) Estimate the percentage of patients that will have this side effect in a patient population of 17, 000. (d) Predict with a 95% confidence level how many patients out of a population of 17, 500 will exhibit this side effect. Write the prediction interval for this estimate.