What is the predicted number of cases per 1000 population in a city where the vaccination rate is 102 out of 1000?
A regression of the number of cases of a particular disease per 1000 people based on the number of people vaccinated against it as children (per 1000) is performed on data collected from 34 cities. The results are summarized below:
Intercept .914
Slope -.001
The predicted solution is found by using the regression equation y = a + bx and substituting the intercept and slope so that an x of 102 is inserted as follows:
y = .914 - 0.001 * x
y = .914 - 0.001 * 102
y = 0.812
Thus we expect an incidence rate of 0.812 cases of the disease per 1000 people in the city.
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