Compute the studentized residuals and the R-student residuals for this model. What information is conveyed by these scaled residuals? TABLE B.1 National Football League 1976 Team Performance Team y X4 X3 X2 XS X6 X1 X7 X8 Xg Washington 10 2113 38.9 1985 64.7 +4 868 59.7 2205 1917 Minnesota 11 2003 2855 38.8 61.3 615 +3 55.0 2096 1575 New 11 2957 1737 40.1 60.0 +14 914 65.6 1847 2175 England Oakland 13 2285 2905 41.6 45.3 -4 957 61.4 1903 2476 836 66.1 Pittsburgh 10 2971 1666 39.2 53.8 +15 1457 1866 Baltimore 11 2309 2927 786 39.7 74.1 +8 61.0 1848 2339 Los Angeles 10 754 2528 2341 38.1 65.4 +12 66.1 1564 2092 Dallas 2737 11 37.0 -1 2147 78.3 761 58.0 1821 1909 Atlanta -3 42.1 714 1689 47.6 57.0 2577 1414 2001 -1 1838 42.3 797 54.2 Buffalo 58.9 2566 2476 2254 +19 984 67.5 1984 37.3 48.0 Chicago 1480 2217 2363 Cincinnati 2191 57.2 2109 39.5 51.9 +6 700 1917 1758 Cleveland 9 2295 2229 37.4 53.6 -5 1037 58.8 1761 2032 Denver 9 1932 2204 986 58.6 1709 2025 35.1 71.4 +3 38.8 58.3 +6 819 59.2 Detroit 2140 1901 1686 6 2213 Green Bay 1722 1730 5 36.6 54.4 52.6 -19 791 2288 1835 1498 2072 35.3 59.3 -5 776 49.6 Houston 5 2072 1914 Kansas City 2929 5 1873 41.1 55.3 +10 789 2861 2496 54.3 6 2118 2268 Miami 38.2 69.6 +6 582 58.7 2411 2670 4 1775 1983 New 51.7 39.3 78.3 +7 901 2289 2202 Orleans New York 3 1904 1792 39.7 38.1 -9 734 61.9 2203 1988 Giants New York 3 1929 1606 39.7 68.8 -21 627 52.7 2592 2324 4 2080 1492 35.5 68.8 -8 722 57.8 2053 2550 Jets Philadelphia St. Louis San Diego San +2 683 59.7 1979 2110 10 2301 6 2040 8 2447 2835 35.3 74.1 2416 38.7 \50.0 1638 39.9 0 576 54.9 2048 2628 57.1 -8 848 65.3 1786 1776 Francisco Seattle Tampa Bay 2 1416 0 1503 684 43.8 2876 2524 2649 37.4 56.3 -22 1503 39.3 47.0 -9 875 53.5 2560 2241 y: Games won (per 14-game season) x₁: Rushing yards (season) x₂: Passing yards (season) x3: Punting average (yards/punt) xa: Field goal percentage (FGs made/FGs attempted 2season) xs: Turnover differential (turnovers acquired-turnovers lost) x: Penalty yards (season) x: Percent rushing (rushing plays/total plays) Xx: Opponents' rushing yards (season) xo: Opponents' passing yards (season) 4 2 7 10
Compute the studentized residuals and the R-student residuals for this model. What information is conveyed by these scaled residuals? TABLE B.1 National Football League 1976 Team Performance Team y X4 X3 X2 XS X6 X1 X7 X8 Xg Washington 10 2113 38.9 1985 64.7 +4 868 59.7 2205 1917 Minnesota 11 2003 2855 38.8 61.3 615 +3 55.0 2096 1575 New 11 2957 1737 40.1 60.0 +14 914 65.6 1847 2175 England Oakland 13 2285 2905 41.6 45.3 -4 957 61.4 1903 2476 836 66.1 Pittsburgh 10 2971 1666 39.2 53.8 +15 1457 1866 Baltimore 11 2309 2927 786 39.7 74.1 +8 61.0 1848 2339 Los Angeles 10 754 2528 2341 38.1 65.4 +12 66.1 1564 2092 Dallas 2737 11 37.0 -1 2147 78.3 761 58.0 1821 1909 Atlanta -3 42.1 714 1689 47.6 57.0 2577 1414 2001 -1 1838 42.3 797 54.2 Buffalo 58.9 2566 2476 2254 +19 984 67.5 1984 37.3 48.0 Chicago 1480 2217 2363 Cincinnati 2191 57.2 2109 39.5 51.9 +6 700 1917 1758 Cleveland 9 2295 2229 37.4 53.6 -5 1037 58.8 1761 2032 Denver 9 1932 2204 986 58.6 1709 2025 35.1 71.4 +3 38.8 58.3 +6 819 59.2 Detroit 2140 1901 1686 6 2213 Green Bay 1722 1730 5 36.6 54.4 52.6 -19 791 2288 1835 1498 2072 35.3 59.3 -5 776 49.6 Houston 5 2072 1914 Kansas City 2929 5 1873 41.1 55.3 +10 789 2861 2496 54.3 6 2118 2268 Miami 38.2 69.6 +6 582 58.7 2411 2670 4 1775 1983 New 51.7 39.3 78.3 +7 901 2289 2202 Orleans New York 3 1904 1792 39.7 38.1 -9 734 61.9 2203 1988 Giants New York 3 1929 1606 39.7 68.8 -21 627 52.7 2592 2324 4 2080 1492 35.5 68.8 -8 722 57.8 2053 2550 Jets Philadelphia St. Louis San Diego San +2 683 59.7 1979 2110 10 2301 6 2040 8 2447 2835 35.3 74.1 2416 38.7 \50.0 1638 39.9 0 576 54.9 2048 2628 57.1 -8 848 65.3 1786 1776 Francisco Seattle Tampa Bay 2 1416 0 1503 684 43.8 2876 2524 2649 37.4 56.3 -22 1503 39.3 47.0 -9 875 53.5 2560 2241 y: Games won (per 14-game season) x₁: Rushing yards (season) x₂: Passing yards (season) x3: Punting average (yards/punt) xa: Field goal percentage (FGs made/FGs attempted 2season) xs: Turnover differential (turnovers acquired-turnovers lost) x: Penalty yards (season) x: Percent rushing (rushing plays/total plays) Xx: Opponents' rushing yards (season) xo: Opponents' passing yards (season) 4 2 7 10
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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This question requires us to compute the studentized residuals and the R-student residuals for a given model.
We will be using the given fields such as Games won, Rushing yards, Passing yards, Punting average, Field goal percentage, Turnover differential, Penalty yards, Percent rushing, and Opponents' rushing yards and Opponents' passing yards to compute the studentized residuals and the R-student residuals. We will then be able to discuss the information that is conveyed by these scaled residuals.
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