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 describes the results of the hypothesis test for the overall regression model using
α = 0.05?
▸ Because the
p-value is greater than alpha, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
▸ Because the
p-value is greater than alpha, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
▸ Because the
p-value is less than alpha, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
▸ Because the
p-value is less than alpha, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
Quick Reply
