The players on the team in Exercise 2 point out to the coach that they can’t shoot if they are not on the ice. They add the variable Time OnIce/Game (TOI/G) (in minutes per game) to the regression:

a) Write the regression model.
b) What is the interpretation of the coefficient of Shots in this model? How does it differ from the interpretation in Exercise 2?
c) Find and interpret a 95% confidence interval for the coefficient of TOI/G.

Data From Exercise 2

A college hockey coach collected data from the 2016–2017 National Hockey League season. He hopes to convince his players that the number of shots taken has an effect on the number of goals scored. The coach performed a preliminary analysis, using the scoring statistics from 65 offensive players who had played at least 44 games by the middle of the season. (If you use the data file, note that it includes defensive players as well. Use the variable Offense to select the players in this analysis.) He predicts Goals from number of Shots. rite the regression model and explain what the slope coefficient means in this context.

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Response variable is: Goals R squared = 53.7% s = 2.891 with 65 - 3 = 62 degrees of freedom t-ratio -1.54 3.94 2.25 Variable Coefficient Intercept -3.90580 Shots TOV/G 0.070019 0.458088 SE(Coeff) 2.539 0.0178 0.2037 P-value 0.1291 0.0002 0.0281