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Brinnan Schill, Brigham Young University

Brayden Jackman, Southern Utah University

Cassidy Mickelson, Southern Utah University All-Stars are given the title of being the best a team has to offer but are they helping their teams get more wins, make it to the playoffs and win the World Series? Players are more likely to make the MLB all-star team in the first years of their career, thus a team should identify and purchase these players if it is found that these players could help a team be successful. It is also in the team’s best interest to know how many players they should purchase with an “all-star” status. This study found that while holding home game attendance, salary, earned run average (ERA) and fielding percentage constant, a team should try to have 8-9 all-stars on their team to increase wins and probability of making the playoffs, while 6-7 all-stars will help a team to win the World Series.

Taylor Leavitt, Southern Utah University College sporting events are a huge ordeal at most universities across the nation. Students, faculty and community members begin tailgating hours before a football game every Saturday during the season. As soon as football has ended, basketball becomes a main focus and then spring sports take over. This study examines the effects attendance at sporting events has on winning percentages at home games while also considering the opposite, the effect winning percentages have on attendance. The model examines football, men’s and women’s basketball, and gymnastics events at Southern Utah University. The different variables being measured/controlled for on winning percentage include attendance at games, pre-season versus regular season games, special event games such as rivalry or homecoming games, and day of the week. The results of the study indicate higher attendance at Southern Utah University games result in a higher winning percentage. The results also show for men’s and women’s basketball that having a week day game increases attendance at games compared to a weekend game. If a team already has a high winning percentage, games are likely to have higher attendance and therefore help the team to continue to win games. ** The result indicated in the above abstract are only hypothesized results and not actual at this point. **

Sidney Cushing, University of Utah

Steiner Houston, Weber State University

Braxton Thornley, Dixie State University

Morgan Sanford, Utah State University

Mackynzie Parry, Utah Valley University

Alexis Holman, Utah Valley University Health

Michael King, Utah State University Social and Behavioral Sciences

Gry Wheaton, AnnaBelle Bryan, James Stephenson, and Chad Morrow, University of Utah Social and Behavioral Sciences

Shawn King, Dixie State University Social and Behavioral Sciences

Kaylie Carbine, Brigham Young University Social and Behavioral Sciences

Michael King, Utah State University Social and Behavioral Sciences

Benjamin Hardy, Brigham Young University Social and Behavioral Sciences

Grant Molnar, Brigham Young University Mathematical Sciences One important attribute of a network of points, or graph, is its independence number: the maximum size of a set of points (vertices) in which no two vertices are joined by an edge. The degree sequence of a graph is a list recording the number of edges that meet at each vertex. The residue of a graph is a number computed by an algorithm that reduces the degree sequence to a string of zeroes. Calculating the independence number of large graphs in general is believed to be computationally hard. However, the residue can be calculated much more easily and is a lower bound for the independence number. In many cases res(G)=ind(G), and it is an open question when equality holds.

Stephen Tahan, Westminster College Life Sciences

J Daniel Obray, Utah State University Social and Behavioral Sciences

Jens Swensen, Southern Utah University Physical Sciences

Daniel Gulbrandsen, Utah Valley University Mathematical Sciences

Naomi Buys, Dixie State University Social and Behavioral Sciences

Jessica Swain, Utah State University Social and Behavioral Sciences

Lia Bogoev, Utah State University Physical Sciences