The provided table shows the in-state undergraduate tuition in 2014 and 2018 for 33 public universities. Virginia's data was identified as an unusual observation. Remove it from the dataset before performing the following analysis. Year2014 Year2018 Year2014 Year2018 Year 2014 Year 2018 University University University Penn State 17,502 18, 454 Ohio State 10,037 10, 726 Texas 9798 10,606 Pittsburgh 17,772 19, 080 Virginia 12, 998 17, 564 Nebraska 8070 9154 Michigan 13, 486 15, 262 Cal-Davis 15, 589 14, 463 lowa 8079 9267 Rutgers 14, 297 14, 974 Cal-Berkeley 12,972 14. 184 Colorado 10, 789 12. 532 Michigan Cal-Irvine 14, 757 15,614 lowa State 7731 8988 13. 813 14, 460 State Purdue 10, 002 9992 North 8346 8987 Maryland 9427 10, 595 Carolina Cal-San 13,456 14, 199 Illinois 15,020 15.094 Diego Kansas 10, 448 II, 148 Minnesota 13, 626 14, 693 Oregon 9918 11, 898 Arizona 10, 957 12, 487 Missouri 11,021 12,055 Wisconsin 10,410 10. 555 Florida 6313 6381 Buffalo 10, 099 Washington Georgia Tech 8871 12. 394 11,517 I1,394 12,424 Indiana 10, 388 10, 681 UCLA 13,029 13, 774 Texas A&M 10, 968 9179 Construct a 98% confidence interval for the slope. Round the answer to four decimal places.