The coach in Exercise 2 found a 95% confidence interval for the slope of his regression line. Recall that he is trying to understand how the number of goals scored is related to shots taken. Interpret with a sentence the meaning of the interval 0.099267 ± 2 x 0.0125

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 49.9% s = 2.983 with 65 - 2 = 63 degrees of freedom Variable Intercept Shots Coefficient SE(Coeff) t-ratio 1.13495 1.231 0.922 0.099267 0.0125 7.93 P-value 0.3602 <0.0001