Question
Matt Kenseth won the 2012 Daytona 500, the most important race of the NASCAR season. His win was no surprise because for the 2011 season
Matt Kenseth won the 2012 Daytona 500, the most important race of the NASCAR season. His win was no surprise because for the 2011 season he finished fourth in the point standings with 2330 points, behind Tony Stewart (2403 points), Carl Edwards (2403 points), and Kevin Harvick (2345 points). In 2011 he earned $6,183,580 by winning three Poles (fastest driver in qualifying), winning three races, finishing in the top five 12 times, and finishing in the top ten 20 times. NASCARs point system in 2011 allocated 43 points to the driver who finished first, 42 points to the driver who finished second, and so on down to 1 point for the driver who finished in the 43rd position. In addition any driver who led a lap received 1 bonus point, the driver who led the most laps received an additional bonus point, and the race winner was awarded 3 bonus points. But, the maximum number of points a driver could earn in any race was 48. Table 15.13 shows data for the 2011 season for the top 35 drivers (NASCAR website).
Driver | Points | Poles | Wins | Top 5 | Top 10 | Winnings ($) |
Tony Stewart | 2403 | 1 | 5 | 9 | 19 | 6,529,870 |
Carl Edwards | 2403 | 3 | 1 | 19 | 26 | 8,485,990 |
Kevin Harvick | 2345 | 0 | 4 | 9 | 19 | 6,197,140 |
Matt Kenseth | 2330 | 3 | 3 | 12 | 20 | 6,183,580 |
Brad Keselowski | 2319 | 1 | 3 | 10 | 14 | 5,087,740 |
Jimmie Johnson | 2304 | 0 | 2 | 14 | 21 | 6,296,360 |
Dale Earnhardt Jr. | 2290 | 1 | 0 | 4 | 12 | 4,163,690 |
Jeff Gordon | 2287 | 1 | 3 | 13 | 18 | 5,912,830 |
Denny Hamlin | 2284 | 0 | 1 | 5 | 14 | 5,401,190 |
Ryan Newman | 2284 | 3 | 1 | 9 | 17 | 5,303,020 |
Kurt Busch | 2262 | 3 | 2 | 8 | 16 | 5,936,470 |
Kyle Busch | 2246 | 1 | 4 | 14 | 18 | 6,161,020 |
Clint Bowyer | 1047 | 0 | 1 | 4 | 16 | 5,633,950 |
Kasey Kahne | 1041 | 2 | 1 | 8 | 15 | 4,775,160 |
A.J. Allmendinger | 1013 | 0 | 0 | 1 | 10 | 4,825,560 |
Greg Biffle | 997 | 3 | 0 | 3 | 10 | 4,318,050 |
Paul Menard | 947 | 0 | 1 | 4 | 8 | 3,853,690 |
Martin Truex Jr. | 937 | 1 | 0 | 3 | 12 | 3,955,560 |
Marcos Ambrose | 936 | 0 | 1 | 5 | 12 | 4,750,390 |
Jeff Burton | 935 | 0 | 0 | 2 | 5 | 3,807,780 |
Juan Montoya | 932 | 2 | 0 | 2 | 8 | 5,020,780 |
Mark Martin | 930 | 2 | 0 | 2 | 10 | 3,830,910 |
David Ragan | 906 | 2 | 1 | 4 | 8 | 4,203,660 |
Joey Logano | 902 | 2 | 0 | 4 | 6 | 3,856,010 |
Brian Vickers | 846 | 0 | 0 | 3 | 7 | 4,301,880 |
Regan Smith | 820 | 0 | 1 | 2 | 5 | 4,579,860 |
Jamie McMurray | 795 | 1 | 0 | 2 | 4 | 4,794,770 |
David Reutimann | 757 | 1 | 0 | 1 | 3 | 4,374,770 |
Bobby Labonte | 670 | 0 | 0 | 1 | 2 | 4,505,650 |
David Gilliland | 572 | 0 | 0 | 1 | 2 | 3,878,390 |
Casey Mears | 541 | 0 | 0 | 0 | 0 | 2,838,320 |
Dave Blaney | 508 | 0 | 0 | 1 | 1 | 3,229,210 |
Andy Lally* | 398 | 0 | 0 | 0 | 0 | 2,868,220 |
Robby Gordon | 268 | 0 | 0 | 0 | 0 | 2,271,890 |
J.J. Yeley | 192 | 0 | 0 | 0 | 0 | 2,559,500 |
Managerial Report
1. Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), or the number of top ten finishes (Top 10). Which of these four variables provides the best single predictor of winnings?
2. Develop an estimated regression equation that can be used to predict Winnings ($) given the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), and the number of top ten (Top 10) finishes. Test for individual significance and discuss your findings and conclusions.
3. Create two new independent variables: Top 25 and Top 610. Top 25 represents the number of times the driver finished between second and fifth place and Top 610 represents the number of times the driver finished between sixth and tenth place. Develop an estimated regression equation that can be used to predict Winnings ($)using Poles, Wins, Top 25, and Top 610. Test for individual significance and discuss your findings and conclusions.
4. Based upon the results of your analysis, what estimated regression equation would you recommend using to predict Winnings ($)? Provide an interpretation of the estimated regression coefficients for this equation.
(Please Solve this in excel format and show me how you did it, Thank you!)
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