A subset of data read from a graph that appeared in the paper Decreased Brain Volume in Adults with Childhood Lead Exposure (Public Library of

A subset of data read from a graph that appeared in the paper €œDecreased Brain Volume in Adults with Childhood Lead Exposure€ (Public Library of Science Medicine [May 27, 2008]: e112) was used to produce the following Minitab output, where x = mean childhood blood lead level (mg/dL) and y = brain volume change (percentage). (See Exercise 13.19 for a more complete description of the study described in this paper)

a. What is the equation of the estimated regression line?
b. For this dataset, n 5 100, x 5 11.5, se 5 0.032, and Sxx 5 1764. Estimate the mean brain volume change for people with a childhood blood lead level of 20 mg/dL, using a 90% confidence interval.
c. Construct a 90% prediction interval for brain volume change for a person with a childhood blood lead level of 20 mg/dL.
d. Explain the difference in interpretation of the intervals computed in Parts (b) and (c).

Regression Analysis: Response versus Mean Blood Lead Level The regression equation is Response =-0.00179-0.00210 Mean Blood Lead Level Predictor Constant Mean Blood Lead Level 0.0021007 0.0005743-3.66 0.000 Coef SE Coef T P -0.001790 0.008303-0.220.830