Reference no: EM133031079

From 1946 to 1990, the Big Ten Conference consisted of the University of Illinois, Indiana University, University of Iowa, University of Michigan, Michigan State University, University of Minnesota, Northwestern University, Ohio State University, Purdue University, and University of Wisconsin. In 1990, the conference added Pennsylvania State University. In 2011, the conference added the University of Nebraska. In 2014, the University of Maryland and Rutgers University were added to the conference with speculation of more schools being added in the future. The file BigTen contains the similar information as the file FBS (see Problem 6 description), except that each variable value for the original 10 schools in the Big Ten conference have been replaced with the respective variable average over these 10 schools. Apply hierarchical clustering with complete linkage to yield 2 clusters using football stadium capacity, latitude, longitude, endowment, and enrollment as variables. Normalize the values of the input variables to adjust for the different magnitudes of the variables. Which schools does the clustering suggest would have been the most appropriate to be the eleventh school in the Big Ten? The twelfth and thirteenth schools? What is the problem with using this method to identify the fourteenth school to add to the Big Ten?