Consider again the TopUniversities data used in class. In addition to the existing attributes, U.S. News & World Report also provided rankings for the 25 universities. The rank order is the same as the position of the university in the dataset, e.g., Harvard is ranked #1, Princeton #2, ..., and Texas A&M #25 (see the list on the horizontal axis in the last screen in Question 29). The first output screen below is generated by Weka's SVR algorithm (SMOreg), using the university's rank as the target attribute. Then, we replaced the numeric ranking attribute with a 2-class attribute by grouping the first 15 universities to class A and the remaining 10 universities to class B. Based on this grouped dataset, the second output screen is generated by Weka's SVM algorithm (SMO) and the third output screen is generated by Weka's decision tree algorithm (J48). Answer questions (a), (b), (c) and (d) following the output screens.

b. Why is the coefficient of the AvgSAT attribute a negative number?