Imagine you are anhigh school principal.Using linear regression, a statistician hired by the School Board says that he can save money and improve student health at the same time. His multivariate linear regression model (that is, one dependent variable and many independent variables) shows that schools that have moved to offering low-cost salads at lunch instead of hamburgershave also seen a decrease in student absences due to illness, controlling for age, gender, racial/ethnic group, and household income. You look at the results and notice thatfor each salad purchased by a student instead of a hamburger (saving $1), the model predicts a corresponding 0.75 drop in student days absent per month, and that the p-value on this variable is 0.25, with an r-squared value for the model of 0.005.How would you respond to this proposal? Would you accept it or reject it? How can you justify your decision based on the statistics presented in the model?