You are conducting a study on what socio-demographic factors could be behind the behavioral problems of students. You are looking at how many times a student was sent to detention. You have information on race, gender, household median income, single parent household, and whether or not the child plays sports through school or is involved in other after-class activities or clubs at the school. You run a regression. You get an F statistic of 0.001 and an R2 of 0.381. Interpret these results in terms of goodness of fit of your model. Assuming that you have access to more indicators, would you use them to improve the model? How would you know if there was an improvement if you tested to see if there is a need to use those additional indicators?