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 test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
▸ Because the test statistic is greater than the critical value, we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
▸ Because the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
▸ Because the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
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