Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the PEN variable?
A)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the average number of penalties per game and the average number of wins per season for a team.
B)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the average number of penalties per game and the average number of wins per season for a team.
C)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the average number of penalties per game and the average number of wins per season for a team.
D)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the average number of penalties per game and the average number of wins per season for a team.

Question

Quizplus · Accepted Answer

When a 95% confidence interval for a regression coefficient includes zero, it suggests that we do not have sufficient evidence to conclude that there is a statistically significant relationship between the predictor variable (in this case, the average number of penalties per game) and the response variable (the average number of wins per season). This is because the inclusion of zero in the confidence interval indicates that the true regression coefficient could be zero, implying no effect.

Which One of the Following Statements Is True Concerning the 95