Understanding a linear regression model. Consider a linear regression model with y = 100.35 5.8x and standard deviation = 3.2. (a) What is

Understanding a linear regression model. Consider a linear regression model with μy = 100.35 − 5.8x and standard deviation σ = 3.2.

(a) What is the slope of the population regression line?

(b) Explain clearly what this slope says about the change in the mean of y for a unit change in x.

(c) What is the subpopulation mean when x = 12?

(d) Between what two values would approximately 95% of the observed responses y fall when x = 12?