According to the U.S. Department of Health and Human Services, African-American women have the highest rates of being overweight compared to other groups in the United States. Individuals are considered overweight if their body mass index (BMI) is 25 or greater.

Consider the following data on BMI of 120 individuals and dummy variables Female and Black corresponding to gender and race. The entire data set, labeled Overweight, can be found on the text website.

a. Estimate the model, BMI = β0 + β1Female + β2Black + to predict the BMI for white males, white females, black males, and black females.
b. Is the difference between the BMIs of females and males statistically significant at the 5% level?
c. Is the difference between the BMIs of whites and blacks statistically significant at the 5% level?
d. Construct and interpret the 90% prediction intervals for the BMI of a white male and a blackfemale.

Transcribed Image Text:

Female BMI 28.70 28.31 Black 2 24.90