University Rankings. The database on American college and university rankings contains information on 1302 American colleges and universities offering an undergraduate program. Form each university there are 17 measurements that include continuous measurement (e.g. tuition and graduation rate) and categorical measurements (e.g. location by state and whether it is a private or a public school. # appli. # appl. # new % new % new # FT # PT in-state out-of- estim. estim. % fac. stud./fac. Graduatio accepted stud. stud. stud. undergrad undergrad tuition state book personal w/PHD ratio n rate enrolled from top from top tuition costs $ College Name 10% 25% room board add. fees Alaska Pacific University 193 146 55 16 44 249 869 7560 7560 1620 2500 130 800 1500 16 11.9 15 University of Alaska at Fairbanks 852 427 28 3885 4519 1742 5226 1800 1790 55 650 2304 67 10 University of Alaska Southeast 146 117 89 24 492 1849 1742 5226 2514 2250 34 500 1162 39 9.5 39 University of Alaska at Anchorage 2065 1598 1162 6209 10537 25226 2600 2520 114 580 1260 48 13.7 Alabama Agri. & Mech. Univ. 2817 1920 984 3958 305 1700 3400 1108 1442 155 500 850 53 14.3 Faulkner University 345 320 179 27 1367 578 5600 5600 1550 1700 300 350 52 32.8 University of Montevallo 1351 892 570 18 78 2385 331 2220 4440 24 300 600 72 18.9 Alabama State University 4639 3272 1278 4051 405 1500 3000 1960 84 500 48 18.7 Auburn University-Main Campus 7548 6791 3070 25 57 16262 1716 2100 6300 600 1908 85 16.7 805 588 287 67 88 1376 207 11660 2050 2430 20 400 900 Birmingham-Southern College 14 72 University of North Alabama 1087 702 625 40 3772 1034 1704 2970 1336 1200 20 500 19.4 76 Huntingdon College 608 520 127 26 47 538 126 8080 8080 1380 2540 00 500 1 100 11.4 44 Jacksonville State University 627 1413 887 160 475 2610 1030 1570 570 1500 20.1 33 313 228 137 10 30 552 67 5780 5780 17.9 43 Judson College 1206 957 444 1627 132 1740 1740 1162 1 243 Livingston University 570 2100 18.8 Miles College 686 427 242 746 123 4000 4000 1250 1450 600 1000 University of Mobile 452 331 269 17 54 1417 301 6150 6150 550 1200 16.6 Oakwood College 949 605 385 1316 135 6639 6639 68 600 2500 14.5 1680 1395 76 2959 402 569 Samford University 691 34 8236 8236 3700 1650 14.7 61 Spring Hill College 773 694 230 942 4 11478 11478 2450 2338 645 500 900 14.4 70 Stillman College 629 614 248 866 22 0 4460 1683 1071 100 600 1000 14 .3 47 Talladega College 4414 1500 335 30 60 908 119 5666 5666 1424 1540 418 1000 1400 56 15.5 46 Troy State University at Troy 1471 1281 824 18 67 4343 990 1697 2883 1450 1120 75 300 50 23 48 Tuskegee University 2267 1827 611 20 59 2825 144 6735 6735 3395 600 1425 70 12.2 65 (a) Remove all categorical variables. Then remove all records with missing numerical measurements from the dataset. (b) Conduct a principal components analysis on the cleaned data and comment on the results. Should the data be normalized? Discuss what characterizes the components you consider key