soldiers far from home. During the American Civil War, the United States Army ke

Question

soldiers far from home. During the American Civil War, the United States Army kept records on soldiers diagnosed with syphilis and gonorrhea. An analysis of the incidence of these diseases for a sample of months is presented below. (Incidence rate is the number of cases per 100,000 soldiers.) 9. In the 19th Century, venereal diseases were the major preventable diseases striking Summary statistics from Regression Analysis Incidence of syphilis and gonorrhea, 1861-1865 Syphilis Gonorrhea Mean St. Dev 2.70 0.98 3.65 1.21 r = 0.91.9-1.12x + 0.62 a. Ifthe incidence rate for syphilis is one standard deviation above the mean for a particular month, then what is the predicted incidence rate for gonorrhea? 5 points) b. Wh at is the proportion of the variability in the gonorrhea incidence rate is accounted for by syphilis? (5 points)

Explanation / Answer

a. If incidence rate ifor syphillis s one standard deviation away from the mean

that means, syphillis incidence rate = 2.70 + 0.98 = 3.68

so y^ ( x 3.68) = 1.12 x + 0.62 = 1.12 * 3.68 + 0.62 = 4.742

b. As r = 0.91

so coefficient of determination R2 = 0.912 = 0.828

so 0.828 or 82.8% proportion of variability in gonorrhea is accounted for syphilis.

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