Question: Suppose that medical researchers use sample data to find a regression line describing the relationship between y = systolic blood pressure and x = age for men between 40 and 60 years old and that the sample regression line is
Estimated mean systolic blood pressure = 85 + 0.9(Age)
a. Give the value of the slope, and write a sentence that interprets it in the context of this situation.
b. Estimate the mean systolic blood pressure of men who are 50 years old.
c. Suppose that the systolic blood pressure of a 50-year-old man is 125. What is the value of the residual for this man?
d. Explain in words what the residual you found in part (c) indicates about the relationship between the systolic blood pressure for that individual and the estimated mean systolic blood pressure for 50-year-old men.