Question

A college football team has developed a multiple regression model to predict attendance (y) at its outdoor football games based upon three variables:

x1 = Team winning percent (for home team)
x2 = Opponent winning percent
x3 = Temperature outside on game day

The following Excel output was obtained from a sample of 16 previous games.

Answer 1

The correct answer is the following: Yes, the Team Winning Percent (x1) variable is statistically significant at α = 0.05.

To determine whether a variable is statistically significant, we look at the p-value associated with the variable's coefficient. If the p-value is less than or equal to the significance level (α), then we reject the null hypothesis that the coefficient is equal to zero, and conclude that the variable is statistically significant.

In this case, the p-value for the Team Winning Percent variable is 0.0020, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that the Team Winning Percent variable is statistically significant.

This means that there is a statistically significant positive relationship between team winning percent and attendance. In other words, as the team's winning percentage increases, attendance also increases.