Use the following information to answer the question(s) below.
The National Football League has developed a regression model to predict the number of wins during a season for a team using the following independent variables:
∙ Average points per game during the season (PPG)
∙ Average number of penalties committed per game during the season (PEN)
∙ Turnover differential during the season (TO)
Turnover differential is defined as the number of times the team took the ball away from their opponent with a turnover minus the number of times the team gave the ball away to their opponent with a turnover. For example, if TO = +5, the team had five more takeaways than giveaways. If TO = -7, the team had seven more giveaways than takeaways during the season.
The following Excel output shows the partially completed regression output from a random season.
Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the PPG variable?
▸ Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the average points per game and the average number of wins per season for a team.
▸ Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the average points per game and the average number of wins per season for a team.
▸ Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the average points per game and the average number of wins per season for a team.
▸ Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the average points per game and the average number of wins per season for a team.
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