Consider the NHL data in Exercise 12-11.
(a) Find a 95% confidence interval on the regression coefficient for the variable “Pts.”
(b) Fit a simple linear regression model relating the response variable “wins” to the regressor “Pts.”
(c) Find a 95% confidence interval on the slope for the simple linear regression model from part (b).
(d) Compare the lengths of the two confidence intervals computed in parts (a) and (c). Which interval is shorter? Does this tell you anything about which model is preferable?