Chapter 20, Problem 6E

Shoot to score, another one Using the regression output from Exercise 2, identify the residual standard deviation and explain its meaning with a sentence in context.

2. Shoot to score 2016 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. Write the regression model and explain what the slope coefficient means in this context.

Response variable is: Goals

R squared = 49.9%

s = 2.983 with 65 – 2 = 63 degrees of freedom

Variable	Coefficient	SE(Coeff)	t-ratio	P-value
Intercept	1.13495	1.231	0.922	0.3602
Shots	0.099267	0.0125	7.93	<0.0001