In American college football, Rivals.com constructs a widely followed index for rating colleges based on the high school players they recruit and Jeff Sagarin constructs a highly regarded system for rating college football teams based on their performance. Table 10.5 shows the 2008 performance ratings and the 2004–2008 recruiting ratings for the 20 colleges with the highest recruiting averages over this 5-year period. (Five years of recruiting data are used because players often “red shirt”

their first year by practicing with the team but not playing, thereby maintaining their 4 years of college eligibility.) Use these data to estimate a multiple regression model with performance the dependent variable and the five recruiting scores the explanatory variables.

a. Do all of the recruiting coefficients have plausible signs?

b. Which, if any, of the recruiting coefficients are statistically significant at the 5 percent level?

c. Which team overperformed the most, in that its performance was much higher than predicted by your estimated equation?

d. Which team underperformed the most, in that its performance was much lower than predicted by your estimated equation?

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Table 10.5: Exercise 10.15 Recruiting Performance 2008 2007 2006 2005 2004 Alabama 89.48 2836 1789 2127 1424 1366 Auburn 71.69 1335 2013 2148 1596 954 California 83.58 1070 1378 1512 1816 935 Clemson 78.87 2113 1555 1741 1431 364 Florida 98.74 2600 2959 2901 1467 2065 Florida State 83.18 2251 1394 2703 2582 2377 Georgia 84.81 2321 1895 2436 1814 2074 LSU 81.96 2134 2695 2238 1335 2492 Miami-FL 77.42 2467 1452 1785 1976 2329 Michigan 64.28 2220 1750 1974 1995 2116 Nebraska 80.70 1159 1734 1432 2178 866 Notre Dame 73.75 2744 1932 2189 661 820 Ohio State 84.83 2481 1577 2000 1654 1913 Oklahoma 94.15 2422 1704 2180 2441 2055 Penn State 88.26 700 1305 2241 1152 1430 South Carolina 77.06 1322 2190 1236 1310 799 Southern Cal 94.85 2312 2761 3018 2631 2908 Tennessee 71.95 1027 2726 1245 2403 1748 Texas 93.50 1919 2562 2283 1409 1864 Texas A&M 65.14 1482 795 1165 1839 1501