Question: Consider the graph assigned to you. 5 5 5 5 Devin Johnson 2 6 Bobby Sanders 6 3 Demetric Baines 6 Paris Smith 8

Consider the graph assigned to you. 5 5 5 5 Devin Johnson 2 6 Bobby Sanders 6 3 Demetric Baines 6 Paris Smith

Consider the graph assigned to you. 5 5 5 5 Devin Johnson 2 6 Bobby Sanders 6 3 Demetric Baines 6 Paris Smith 8 8 8 5 5 5 6 Emmanuel Onung 6 Jaden Stanton 3 6 James Ejiwale 8 8 8 5 Julian Parker 5 5 3 6 Cameron Weems 2 6 Nikitha Ketineni 8 Q3: 15 pts) Determine the Spearman's rank-based correlation coefficient between BWC and LCC'DC based on the results of Q2. Show all the work. 4 Q1: 25 pts) Determine the LCC'DC of the vertices in the graph (without using the Jar files) on the basis of the egocentric networks of the vertices. Note that the LCC of a vertex with just one neighbor is 1.0. Q4: 15 pts) Determine the Kendall's concordance-based correlation coefficient between BWC and LCC'DC. Show all the work. 8 Q2: 5 pts) Use the CentralityMetrics.jar file to input the edge list of the graph and obtain the values with respect to the five centrality metrics (DEV, EVC, BWC, CLC and LCC'DC). Q5: 15 pts) Determine the Pearson's correlation coefficient between BWC and LCC'DC. Show all work. Q6: 25 pts) Fit a line (using Excel) that relates LCC'DC and BWC. This is linear regression. Use the equation of the fitted line and the actual LCC'DC values to predict the BWC values of the vertices. Use the predicted BWC and the actual BWC values to determine the standard error residuals (SER).

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