Shoot to score, double overtime Continuing from Exercise 14, the coach responds to the players by claiming that shooting accuracy is more important than time on the ice. He adds Shoot%

(% of shots on goal) to the model.

Response variable is: Goals R squared = 95.7%

s = 0.8850 with 65 - 4 = 61 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Intercept -9.11025 0.8057 -11.3 60.0001 Shots 0.111264 0.0057 19.5 60.0001 TOI/G -0.040008 0.0656 -0.610 0.5441 Shoot% 0.872339 0.0356 24.5 60.0001

a) The coefficient of TOI/G in this model is quite different from the TOI/G coefficient in the previous model of Exercise 14.

Why the change?

b) Find a 95% confidence interval for the coefficient of TOI/G.

How does it compare with the one you found in Exercise 14?

c) The t-ratio associated with the TOI/G coefficient is now much smaller and the corresponding P-value much larger.

Explain why this has happened.