Wismer,+K


 * __Brainstorming__**
 * 1) NFL Running Backs Rushing Yards Vs. Touchdowns (2005-2009)
 * 2) NFL Quarter Back Rating Vs. Teams Record
 * 3) NFL Sacks Vs. Touchdowns Against

Do the amount of rushing yards by an National Football League running back directly effect the touchdowns he gains during the regular season?
 * __Question__**

Independant Variable (Y) -Rushing Yards Dependant Variable (X) -Touchdowns

__**Hypothesis**__ I believe that there will be a moderate to strong correlation between the rushing yards and the touchdowns of an NFL running back because the more opportunities the player has to carry the ball, the more chances he will have to score. Obviously there will be a few outliers because there are short yardage running backs that will result in a high number of touchdowns and a low number of yards gained.


 * __Statistics__**


 * || 2009 ||  ||   ||   ||   ||   ||
 * Rk || Player || X (Touchdown) || Y (Rushing Yards) || X^2 || Y^2 || XY ||
 * 1 || Chris Johnson || 14 || 2006 || 196 || 4024036 || 28084 ||
 * 2 || Cedric Benson || 6 || 1251 || 36 || 1565001 || 7506 ||
 * 3 || Steve Jackson || 4 || 1416 || 16 || 2005056 || 5664 ||
 * 4 || Thomas Jones || 14 || 1402 || 196 || 1965604 || 19628 ||
 * 5 || Maurice Jones-Drew || 15 || 1391 || 225 || 1934881 || 20865 ||
 * 6 || Adrian Peterson || 18 || 1383 || 324 || 1912689 || 24894 ||
 * 7 || DeAngelo Williams || 7 || 1117 || 49 || 1247689 || 7819 ||
 * 8 || Ray Rice || 7 || 1339 || 49 || 1792921 || 9373 ||
 * 9 || Frank Gore || 10 || 1120 || 100 || 1254400 || 11200 ||
 * 10 || Michael Turner || 10 || 871 || 100 || 758641 || 8710 ||
 * 11 || Ryan Grant || 11 || 1253 || 121 || 1570009 || 13783 ||
 * 12 || Jamaal Charles || 7 || 1120 || 49 || 1254400 || 7840 ||
 * 13 || Ronnie Brown || 8 || 648 || 64 || 419904 || 5184 ||
 * 14 || Jonathan Stewart || 10 || 1133 || 100 || 1283689 || 11330 ||
 * 15 || Ricky Williams || 11 || 1121 || 121 || 1256641 || 12331 ||
 * 16 || Rashard Mendenhall || 7 || 1108 || 49 || 1227664 || 7756 ||
 * 17 || Fred Jackson || 2 || 1062 || 4 || 1127844 || 2124 ||
 * 18 || Marion Barber || 7 || 932 || 49 || 868624 || 6524 ||
 * 19 || Clinton Portis || 1 || 494 || 1 || 244036 || 494 ||
 * 20 || Jerome Harris || 5 || 862 || 25 || 743044 || 4310 ||
 * || ** ∑ ** || 174 || 23029 || 1874 || 28456773 || 215419 ||

**__Calculations__**

 * One Variable Data (X)**
 * Mean-174/20=8.7 (X Bar)**
 * Median-7.5**
 * Mode-7**
 * S.D.-4.35**


 * X (Touchdown) || X-X(Bar) || X-X(Bar)^2 ||
 * 14 || 5.3 || 28.09 ||
 * 6 || -2.7 || 7.29 ||
 * 4 || -4.7 || 22.09 ||
 * 14 || 5.3 || 28.09 ||
 * 15 || 6.3 || 39.69 ||
 * 18 || 9.3 || 86.49 ||
 * 7 || -1.7 || 2.89 ||
 * 7 || -1.7 || 2.89 ||
 * 10 || 1.3 || 1.69 ||
 * 10 || 1.3 || 1.69 ||
 * 11 || 2.3 || 5.29 ||
 * 7 || -1.7 || 2.89 ||
 * 8 || -0.7 || 0.49 ||
 * 10 || 1.3 || 1.69 ||
 * 11 || 2.3 || 5.29 ||
 * 7 || -1.7 || 2.89 ||
 * 2 || -6.7 || 44.89 ||
 * 7 || -1.7 || 2.89 ||
 * 1 || -7.7 || 59.29 ||
 * 5 || -3.7 || 13.69 ||
 * || ** ∑ ** || 360.2 ||
 * One Variable Data (Y)**
 * Mean-23029/20=1151.45**
 * Median-1120.5**
 * Mode-1120**
 * S.D.-319.54**


 * Y (Rushing Yards) || Y-Y(Bar) || Y-Y(Bar)^2 ||
 * 2006 || 854.55 || 730255.7025 ||
 * 1251 || 99.55 || 9910.2025 ||
 * 1416 || 264.55 || 69986.7025 ||
 * 1402 || 250.55 || 62775.3025 ||
 * 1391 || 239.55 || 57384.2025 ||
 * 1383 || 231.55 || 53615.4025 ||
 * 1117 || -34.45 || 1186.8025 ||
 * 1339 || 187.55 || 35175.0025 ||
 * 1120 || -31.45 || 989.1025 ||
 * 871 || -280.45 || 78652.2025 ||
 * 1253 || 101.55 || 10312.4025 ||
 * 1120 || -31.45 || 989.1025 ||
 * 648 || -503.45 || 253461.9025 ||
 * 1133 || -18.45 || 340.4025 ||
 * 1121 || -30.45 || 927.2025 ||
 * 1108 || -43.45 || 1887.9025 ||
 * 1062 || -89.45 || 8001.3025 ||
 * 932 || -219.45 || 48158.3025 ||
 * 494 || -657.45 || 432240.5025 ||
 * 862 || -289.45 || 83781.3025 ||
 * || ** ∑ ** || 1940030.95 ||


 * Two Variable Data**
 * Correlation Coefficient**

r=n∑xy-(∑x)(∑y)/√[n∑x^2-(∑x)^2][n∑y^2-(∑y)^2]
r=(20)(215419)-(174)(23029)/√[(20)(1874)-(174)^2][(20)(28456773)-(23029)^2] r=0.5699

Positive Moderate Correlation

 * || 2008 ||  ||   ||   ||   ||   ||
 * Rk || Player || X (Touchdowns) || Y (Rushing Yards) || X^2 || Y^2 || XY ||
 * 1 || Adrian Peterson || 10 || 1760 || 100 || 3097600 || 17600 ||
 * 2 || Michael Turner || 17 || 1699 || 289 || 2886601 || 28883 ||
 * 3 || DeAngelo Williams || 18 || 1515 || 324 || 2295225 || 27270 ||
 * 4 || Clinton Portis || 9 || 1487 || 81 || 2211169 || 13383 ||
 * 5 || Steve Jackson || 7 || 1042 || 49 || 1085764 || 7294 ||
 * 6 || Brandon Jacobs || 15 || 1089 || 225 || 1185921 || 16335 ||
 * 7 || Lance Ball || 0 || 83 || 0 || 6889 || 0 ||
 * 8 || Thomas Jones || 13 || 1312 || 169 || 1721344 || 17056 ||
 * 9 || Chris Johnson || 9 || 1228 || 81 || 1507984 || 11052 ||
 * 10 || Steve Slaton || 9 || 1282 || 81 || 1643524 || 11538 ||
 * 11 || Matt Forte || 8 || 1238 || 64 || 1532644 || 9904 ||
 * 12 || Ryan Grant || 4 || 1203 || 16 || 1447209 || 4812 ||
 * 13 || Frank Gore || 6 || 1036 || 36 || 1073296 || 6216 ||
 * 14 || Larry Johnson || 5 || 874 || 25 || 763876 || 4370 ||
 * 15 || Willie Parker || 5 || 791 || 25 || 625681 || 3955 ||
 * 16 || LaDainian Tomlinson || 11 || 1110 || 121 || 1232100 || 12210 ||
 * 17 || Marshawn Lynch || 8 || 1036 || 64 || 1073296 || 8288 ||
 * 18 || Brian Westbrook || 9 || 936 || 81 || 876096 || 8424 ||
 * 19 || Derrick Ward || 2 || 1025 || 4 || 1050625 || 2050 ||
 * 20 || Jamal Lewis || 4 || 1002 || 16 || 1004004 || 4008 ||
 * || ** ∑ ** || 169 || 22748 || 1851 || 28320848 || 214648 ||
 * __Calculations__**
 * One Variable Data (X)**
 * Mean-169/20=8.45**
 * Median-8.5**
 * Mode-9**
 * S.D.-4.72**


 * X (Touchdowns) || X-X(Bar) || X-X(Bar)^2 ||
 * 10 || 1.55 || 2.4025 ||
 * 17 || 8.55 || 73.1025 ||
 * 18 || 9.55 || 91.2025 ||
 * 9 || 0.55 || 0.3025 ||
 * 7 || -1.45 || 2.1025 ||
 * 15 || 6.55 || 42.9025 ||
 * 0 || -8.45 || 71.4025 ||
 * 13 || 4.55 || 20.7025 ||
 * 9 || 0.55 || 0.3025 ||
 * 9 || 0.55 || 0.3025 ||
 * 8 || -0.45 || 0.2025 ||
 * 4 || -4.45 || 19.8025 ||
 * 6 || -2.45 || 6.0025 ||
 * 5 || -3.45 || 11.9025 ||
 * 5 || -3.45 || 11.9025 ||
 * 11 || 2.55 || 6.5025 ||
 * 8 || -0.45 || 0.2025 ||
 * 9 || 0.55 || 0.3025 ||
 * 2 || -6.45 || 41.6025 ||
 * 4 || -4.45 || 19.8025 ||
 * || ** ∑ ** || 422.95 ||


 * One Variable Data (Y)**
 * Mean-22748/20=1137.4**
 * Median-1099.5**
 * Mode-1036**
 * S.D.-358.89**


 * Y (Rushing Yards) || Y-Y(Bar) || Y-Y(Bar)^2 ||
 * 1760 || 622.6 || 387630.76 ||
 * 1699 || 561.6 || 315394.56 ||
 * 1515 || 377.6 || 142581.76 ||
 * 1487 || 349.6 || 122220.16 ||
 * 1042 || -95.4 || 9101.16 ||
 * 1089 || -48.4 || 2342.56 ||
 * 83 || -1054.4 || 1111759.36 ||
 * 1312 || 174.6 || 30485.16 ||
 * 1228 || 90.6 || 8208.36 ||
 * 1282 || 144.6 || 20909.16 ||
 * 1238 || 100.6 || 10120.36 ||
 * 1203 || 65.6 || 4303.36 ||
 * 1036 || -101.4 || 10281.96 ||
 * 874 || -263.4 || 69379.56 ||
 * 791 || -346.4 || 119992.96 ||
 * 1110 || -27.4 || 750.76 ||
 * 1036 || -101.4 || 10281.96 ||
 * 936 || -201.4 || 40561.96 ||
 * 1025 || -112.4 || 12633.76 ||
 * 1002 || -135.4 || 18333.16 ||
 * || ** ∑ ** || 2447272.8 ||


 * Two Variable Data**
 * Correlation Coefficient**

r=n∑xy-(∑x)(∑y)/√[n∑x^2-(∑x)^2][n∑y^2-(∑y)^2]
r=(20)(214648)-(169)(22748)/√[(20)(1851)-(169)^2][(20)(22748)-(22748)^2] r=0.6971

Positive Strong Correlation


 * || 2007 ||  ||   ||   ||   ||   ||
 * Rk || Player || X (Touchdowns) || Y (Rushing Yards) || X^2 || Y^2 || XY ||
 * 1 || Adrian Peterson || 12 || 1341 || 144 || 1798281 || 16092 ||
 * 2 || LaDainian Tomlinson || 15 || 1474 || 225 || 2172676 || 22110 ||
 * 3 || Brandon Jacobs || 4 || 1009 || 16 || 1018081 || 4036 ||
 * 4 || Brian Westbrook || 7 || 1333 || 49 || 1776889 || 9331 ||
 * 5 || Willie Parker || 2 || 1316 || 4 || 1731856 || 2632 ||
 * 6 || Jamal Lewis || 9 || 1304 || 81 || 1700416 || 11736 ||
 * 7 || Ronnie Brown || 4 || 602 || 16 || 362404 || 2408 ||
 * 8 || Marshawn Lynch || 7 || 1115 || 49 || 1243225 || 7805 ||
 * 9 || Steven Jackson || 5 || 1002 || 25 || 1004004 || 5010 ||
 * 10 || Willis McGahee || 7 || 1207 || 49 || 1456849 || 8449 ||
 * 11 || Fred Taylor || 5 || 1202 || 25 || 1444804 || 6010 ||
 * 12 || Clinton Portis || 11 || 1262 || 121 || 1592644 || 13882 ||
 * 13 || Edgerrin James || 7 || 1222 || 49 || 1493284 || 8554 ||
 * 14 || Derrick Ward || 3 || 602 || 9 || 362404 || 1806 ||
 * 15 || Frank Gore || 5 || 1102 || 25 || 1214404 || 5510 ||
 * 16 || Justin Fargas || 4 || 1009 || 16 || 1018081 || 4036 ||
 * 17 || Joseph Addai || 12 || 1072 || 144 || 1149184 || 12864 ||
 * 18 || Thomas Jones || 1 || 1119 || 1 || 1252161 || 1119 ||
 * 19 || Larry Johnson || 3 || 559 || 9 || 312481 || 1677 ||
 * 20 || LenDale White || 7 || 1110 || 49 || 1232100 || 7770 ||
 * || ** ∑ ** || 130 || 21962 || 1106 || 25336228 || 152837 ||
 * __Calculations__**
 * One Variable Data (X)**
 * Mean-130/20=6.5**
 * Median-6**
 * Mode-7**
 * S.D.-3.71**


 * X (Touchdowns) || X-X(Bar) || X-X(Bar)^2 ||
 * 12 || 5.5 || 30.25 ||
 * 15 || 8.5 || 72.25 ||
 * 4 || -2.5 || 6.25 ||
 * 7 || 0.5 || 0.25 ||
 * 2 || -4.5 || 20.25 ||
 * 9 || 2.5 || 6.25 ||
 * 4 || -2.5 || 6.25 ||
 * 7 || 0.5 || 0.25 ||
 * 5 || -1.5 || 2.25 ||
 * 7 || 0.5 || 0.25 ||
 * 5 || -1.5 || 2.25 ||
 * 11 || 4.5 || 20.25 ||
 * 7 || 0.5 || 0.25 ||
 * 3 || -3.5 || 12.25 ||
 * 5 || -1.5 || 2.25 ||
 * 4 || -2.5 || 6.25 ||
 * 12 || 5.5 || 30.25 ||
 * 1 || -5.5 || 30.25 ||
 * 3 || -3.5 || 12.25 ||
 * 7 || 0.5 || 0.25 ||
 * || ** ∑ ** || 261 ||


 * One Variable Data (Y)**
 * Mean-21962/20=1098.1**
 * Median-1117**
 * Mode-1009**
 * S.D.-253.37**


 * Y (Rushing Yards) || Y-Y(Bar) || Y-Y(Bar)^2 ||
 * 1341 || 242.9 || 59000.41 ||
 * 1474 || 375.9 || 141300.81 ||
 * 1009 || -89.1 || 7938.81 ||
 * 1333 || 234.9 || 55178.01 ||
 * 1316 || 217.9 || 47480.41 ||
 * 1304 || 205.9 || 42394.81 ||
 * 602 || -496.1 || 246115.21 ||
 * 1115 || 16.9 || 285.61 ||
 * 1002 || -96.1 || 9235.21 ||
 * 1207 || 108.9 || 11859.21 ||
 * 1202 || 103.9 || 10795.21 ||
 * 1262 || 163.9 || 26863.21 ||
 * 1222 || 123.9 || 15351.21 ||
 * 602 || -496.1 || 246115.21 ||
 * 1102 || 3.9 || 15.21 ||
 * 1009 || -89.1 || 7938.81 ||
 * 1072 || -26.1 || 681.21 ||
 * 1119 || 20.9 || 436.81 ||
 * 559 || -539.1 || 290628.81 ||
 * 1110 || 11.9 || 141.61 ||
 * || ** ∑ ** || 1219755.8 ||


 * Two Variable Data**
 * Correlation Coefficient**

r=n∑xy-(∑x)(∑y)/√[n∑x^2-(∑x)^2][n∑y^2-(∑y)^2]
r=(20)(152837)-(130)(21962)/√[(20)(1106)-(130)^2][(20)(25336228)-(21962)^2] r=0.5652

Positive Moderate Correlation


 * || 2006 ||  ||   ||   ||   ||   ||
 * Rk || Player || X (Touchdowns) || Y (Rushing Yards) || X^2 || Y^2 || XY ||
 * 1 || LaDainian Tomlinson || 28 || 1815 || 784 || 3294225 || 50820 ||
 * 2 || Larry Johnson || 17 || 1789 || 289 || 3200521 || 30413 ||
 * 3 || Frank Gore || 8 || 1695 || 64 || 2873025 || 13560 ||
 * 4 || Tiki Barber || 5 || 1662 || 25 || 2762244 || 8310 ||
 * 5 || Steven Jackson || 13 || 1528 || 169 || 2334784 || 19864 ||
 * 6 || Willie Parker || 13 || 1494 || 169 || 2232036 || 19422 ||
 * 7 || Shaun Alexander || 7 || 896 || 49 || 802816 || 6272 ||
 * 8 || Travis Henry || 7 || 1211 || 49 || 1466521 || 8477 ||
 * 9 || Rudi Johnson || 12 || 1309 || 144 || 1713481 || 15708 ||
 * 10 || Brian Westbrook || 7 || 1217 || 49 || 1481089 || 8519 ||
 * 11 || Chester Taylor || 6 || 1216 || 36 || 1478656 || 7296 ||
 * 12 || Tatum Bell || 2 || 1025 || 4 || 1050625 || 2050 ||
 * 13 || Ronnie Brown || 5 || 1008 || 25 || 1016064 || 5040 ||
 * 14 || Fred Taylor || 5 || 1146 || 25 || 1313316 || 5730 ||
 * 15 || Ahman Green || 5 || 1059 || 25 || 1121481 || 5295 ||
 * 16 || Thomas Jones || 6 || 1210 || 36 || 1464100 || 7260 ||
 * 17 || Edgerrin James || 6 || 1159 || 36 || 1343281 || 6954 ||
 * 18 || Ladell Betts || 4 || 1154 || 16 || 1331716 || 4616 ||
 * 19 || Warrick Dunn || 4 || 1140 || 16 || 1299600 || 4560 ||
 * 20 || Jamal Lewis || 9 || 1132 || 81 || 1281424 || 10188 ||
 * || ** ∑ ** || 169 || 25865 || 2091 || 34861005 || 240354 ||
 * __Calculations__**
 * One Variable Data (X)**
 * Mean-169/20=8.45**
 * Median-6.5**
 * Mode-5**
 * S.D.-5.91**


 * X (Touchdowns) || X-X(Bar) || X-X(Bar)^2 ||
 * 28 || 19.55 || 382.2025 ||
 * 17 || 8.55 || 73.1025 ||
 * 8 || -0.45 || 0.2025 ||
 * 5 || -3.45 || 11.9025 ||
 * 13 || 4.55 || 20.7025 ||
 * 13 || 4.55 || 20.7025 ||
 * 7 || -1.45 || 2.1025 ||
 * 7 || -1.45 || 2.1025 ||
 * 12 || 3.55 || 12.6025 ||
 * 7 || -1.45 || 2.1025 ||
 * 6 || -2.45 || 6.0025 ||
 * 2 || -6.45 || 41.6025 ||
 * 5 || -3.45 || 11.9025 ||
 * 5 || -3.45 || 11.9025 ||
 * 5 || -3.45 || 11.9025 ||
 * 6 || -2.45 || 6.0025 ||
 * 6 || -2.45 || 6.0025 ||
 * 4 || -4.45 || 19.8025 ||
 * 4 || -4.45 || 19.8025 ||
 * 9 || 0.55 || 0.3025 ||
 * || ** ∑ ** || 662.95 ||


 * One Variable Data (Y)**
 * Mean-25865/20=1293.25**
 * Median-1210.5**
 * Mode-There is no mode for this set of data**
 * S.D.-272.52**


 * Y (Rushing Yards) || Y-Y(Bar) || Y-Y(Bar)^2 ||
 * 1815 || 521.75 || 272223.0625 ||
 * 1789 || 495.75 || 245768.0625 ||
 * 1695 || 401.75 || 161403.0625 ||
 * 1662 || 368.75 || 135976.5625 ||
 * 1528 || 234.75 || 55107.5625 ||
 * 1494 || 200.75 || 40300.5625 ||
 * 896 || -397.25 || 157807.5625 ||
 * 1211 || -82.25 || 6765.0625 ||
 * 1309 || 15.75 || 248.0625 ||
 * 1217 || -76.25 || 5814.0625 ||
 * 1216 || -77.25 || 5967.5625 ||
 * 1025 || -268.25 || 71958.0625 ||
 * 1008 || -285.25 || 81367.5625 ||
 * 1146 || -147.25 || 21682.5625 ||
 * 1059 || -234.25 || 54873.0625 ||
 * 1210 || -83.25 || 6930.5625 ||
 * 1159 || -134.25 || 18023.0625 ||
 * 1154 || -139.25 || 19390.5625 ||
 * 1140 || -153.25 || 23485.5625 ||
 * 1132 || -161.25 || 26001.5625 ||
 * || ** ∑ ** || 1411093.75 ||


 * Two Variable Data**
 * Correlation Coefficient**

r=n∑xy-(∑x)(∑y)/√[n∑x^2-(∑x)^2][n∑y^2-(∑y)^2]
r=(20)(240354)-(169)(25865)/√[(20)(2091)-(169)^2][(20)(34861005)-(25865)^2] r=0.7126

Positive Strong Correlation


 * || 2005 ||  ||   ||   ||   ||   ||
 * Rk || Player || X (Touchdowns) || Y (Rushing Yards) || X^2 || Y^2 || XY ||
 * 1 || Shaun Alexander || 27 || 1880 || 729 || 3534400 || 50760 ||
 * 2 || Tiki Barber || 9 || 1860 || 81 || 3459600 || 16740 ||
 * 3 || Larry Johnson || 20 || 1750 || 400 || 3062500 || 35000 ||
 * 4 || Edgerrin James || 13 || 1506 || 169 || 2268036 || 19578 ||
 * 5 || Clinton Portis || 11 || 1516 || 121 || 2298256 || 16676 ||
 * 6 || Ladainian Tomlinson || 18 || 1462 || 324 || 2137444 || 26316 ||
 * 7 || Rudi Johnson || 12 || 1458 || 144 || 2125764 || 17496 ||
 * 8 || Thomas Jones || 9 || 1335 || 81 || 1782225 || 12015 ||
 * 9 || Domanick Williams || 2 || 976 || 4 || 952576 || 1952 ||
 * 10 || Warrick Dunn || 3 || 1416 || 9 || 2005056 || 4248 ||
 * 11 || Cadillac Williams || 6 || 1178 || 36 || 1387684 || 7068 ||
 * 12 || Willie Parker || 4 || 1202 || 16 || 1444804 || 4808 ||
 * 13 || Willis McGahee || 5 || 1247 || 25 || 1555009 || 6235 ||
 * 14 || Reuben Droughns || 2 || 1232 || 4 || 1517824 || 2464 ||
 * 15 || Julius Jones || 5 || 993 || 25 || 986049 || 4965 ||
 * 16 || LaMont Jordan || 9 || 1025 || 81 || 1050625 || 9225 ||
 * 17 || Samkon Gado || 6 || 582 || 36 || 338724 || 3492 ||
 * 18 || Fred Taylor || 3 || 787 || 9 || 619369 || 2361 ||
 * 19 || Steven Jackson || 8 || 1046 || 64 || 1094116 || 8368 ||
 * 20 || Mike Anderson || 12 || 1014 || 144 || 1028196 || 12168 ||
 * || ** ∑ ** || 184 || 25465 || 2502 || 34648257 || 261935 ||
 * One Variable Data (X)**
 * Mean-184/20=9.2**
 * Median-8.5**
 * Mode-9**
 * S.D.-6.53**


 * X (Touchdowns) || X-X(Bar) || X-X(Bar)^2 ||
 * 27 || 17.8 || 316.84 ||
 * 9 || -0.2 || 0.04 ||
 * 20 || 10.8 || 116.64 ||
 * 13 || 3.8 || 14.44 ||
 * 11 || 1.8 || 3.24 ||
 * 18 || 8.8 || 77.44 ||
 * 12 || 2.8 || 7.84 ||
 * 9 || -0.2 || 0.04 ||
 * 2 || -7.2 || 51.84 ||
 * 3 || -6.2 || 38.44 ||
 * 6 || -3.2 || 10.24 ||
 * 4 || -5.2 || 27.04 ||
 * 5 || -4.2 || 17.64 ||
 * 2 || -7.2 || 51.84 ||
 * 5 || -4.2 || 17.64 ||
 * 9 || -0.2 || 0.04 ||
 * 6 || -3.2 || 10.24 ||
 * 3 || -6.2 || 38.44 ||
 * 8 || -1.2 || 1.44 ||
 * 12 || 2.8 || 7.84 ||
 * || ** ∑ ** || 809.2 ||


 * One Variable Data (Y)**
 * Mean-25465/20=1273.25**
 * Median-1239.5**
 * Mode-This set of data has no mode**
 * S.D.-342.20**


 * Y (Rushing Yards) || Y-Y(Bar) || Y-Y(Bar)^2 ||
 * 1880 || 606.75 || 368145.5625 ||
 * 1860 || 586.75 || 344275.5625 ||
 * 1750 || 476.75 || 227290.5625 ||
 * 1506 || 232.75 || 54172.5625 ||
 * 1516 || 242.75 || 58927.5625 ||
 * 1462 || 188.75 || 35626.5625 ||
 * 1458 || 184.75 || 34132.5625 ||
 * 1335 || 61.75 || 3813.0625 ||
 * 976 || -297.25 || 88357.5625 ||
 * 1416 || 142.75 || 20377.5625 ||
 * 1178 || -95.25 || 9072.5625 ||
 * 1202 || -71.25 || 5076.5625 ||
 * 1247 || -26.25 || 689.0625 ||
 * 1232 || -41.25 || 1701.5625 ||
 * 993 || -280.25 || 78540.0625 ||
 * 1025 || -248.25 || 61628.0625 ||
 * 582 || -691.25 || 477826.5625 ||
 * 787 || -486.25 || 236439.0625 ||
 * 1046 || -227.25 || 51642.5625 ||
 * 1014 || -259.25 || 67210.5625 ||
 * || ** ∑ ** || 2224945.75 ||


 * Two Variable Data**
 * __Calculations__**


 * Correlation Coefficient**

r=n∑xy-(∑x)(∑y)/√[n∑x^2-(∑x)^2][n∑y^2-(∑y)^2]
r=(20)(261935)-(184)(25465)/√[(20)(2502)-(184)^2][(20)(34648257)-(25465)^2] r=0.6518

Positive Moderate Correlation

After my statistical analyisis, I've realized that my hypothesis was correct. I believed that an NFL running backs rushing yards would correspond to the number of touchdowns they got. For every year I found a positive strong or positive moderate correlation, as I predicted. The rushing yards effect the touch downs because the more yards a player gains, the closer he will be to the end zone and scoring a touchdown. I did find that there were a few outliers who had low rushing yards and a high number of touchdowns, but you will find outliers in almost all statistics. Overall, I believe I have strong data supporting my hypothesis.
 * Conclusion**

//Stats.// (n.d.). Retrieved December 13, 2010, from NFL: [] //Stats.// (n.d.). Retrieved December 13, 2010, from NFL: [] //Stats.// (n.d.). Retrieved December 13, 2010, from NFL: []
 * Bibliography**

//Stats.// (n.d.). Retrieved December 13, 2010, from NFL: []

//Stats.// (n.d.). Retrieved December 13, 2010, from NFL: []