For Exercises 10.1 and 10.2, see page 488; for 10.3 and 10.4, see page 490; for 10.5, see pages 493–494; for 10.6 to 10.8, see pages 498–499; for 10.9 and 10.10, see page 500; and for 10.11 and 10.12, see page 502.

Question 10.2

10.2 Understanding a linear regression model.

Consider a linear regression model with and standard deviation .

  1. What is the slope of the population regression line?
  2. Explain clearly what this slope says about the change in the mean of for a unit change in .
  3. What is the subpopulation mean when ?
  4. Between what two values would approximately 95% of the observed responses fall when ?