High blood-lead levels are associated with a number of different health problems. The article “A Study of the Relationship between Blood Lead Levels and Occupational Lead Levels” (American Statistician [1983]: 471) gave data on x = air-lead level (mg/m³) and y = bloodlead level (mg/dL). Summary quantities (based on a subset of the data given in a plot in the article) are

a. Find the equation of the estimated regression line.

b. Estimate the mean blood-lead level for people who work where the air-lead level is 100 mg/m³ using a 90% interval.

c. Construct a 90% prediction interval for the blood-lead level of a particular person who works where the air-lead level is 100 mg/m³.

d. Explain the difference in interpretation of the intervals computed in Parts (b) and (c).

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n = 15 Σx = 1350 Σy = 600 Σ' = 155,400 Σ. y = 24,869.33 Σxy = 57,760