The National Football League has developed a regression model to predict the number of wins during a season for a team using average points per game during the season (PPG) , average number of penalties committed per game during the season (PEN) , and turnover differential during the season (TO) as the independent variables. 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 equals plus5, the team had five more takeaways than giveaways. If TO equals minus7, the team had seven more giveaways than takeaways during the season. The accompanying 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 alpha equals 0. 05?
A. 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.
B. 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.
C. 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.
D. 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.
