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 $6,183,580 by winning three Poles (fastest driver in qualifying), winning three races, finishing in the top five 12 times, and finishing in the top ten 20 times. NASCAR’s point system in 2011 allocated 43 points to the driver who finished first, 42 points to the driver who finished second, and so on down to 1 point for the driver who finished in the 43rd position. In addition any driver who led a lap received 1 bonus point, the driver who led the most laps received an additional bonus point, and the race winner was awarded 3 bonus points. But, the maximum number of points a driver could earn in any race was 48. The following table shows data for the 2011 season for the top 35 drivers (NASCAR website). These data are contained in the file NASCAR. Please see the data file NASCAR. Managerial ReportSuppose you wanted to predict Winnings ($) 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? Develop an estimated regression equation that can be used to predict Winnings ($) given the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), and the number of top ten finishes (Top 10). Test for individual significance and discuss your findings and conclusions. Create two new independent variables: Top 2–5 and Top 6–10. Top 2–5 represents the number of times the driver finished between second and fifth place and Top 6–10 represents the number of times the driver finished between sixth and tenth place. Develop an estimated regression equation that can be used to predict Winnings ($) using Poles, Wins, Top 2–5, and Top 6–10. Test for individual significance and discuss your findings and conclusions. 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. ABDFGHDriverPointsPolesTop 10Winnings (S)6,529,8708,485,9906,197,140WinsТop 5Tony StewartCarl EdwardsKevin Harvick2403159.192403311926234549.19Matt Kenseth23303312206,183,5805,087,7406,296,3604,163,690Brad Keselowski2319131014Jimmie Johnson230421421Dale Earnhardt Jr.2290112Jeff GordonO Denny HamlinRyan Newman2 Kurt Buschs Kyle Busch- Clint Bowyer5 Kasey Kahne5A.J. AllmendingerGreg BiffleB Paul Menarde Martin Truex Jr.O Marcos Ambrose1 Jeff Burtone Juan Montoya5 Mark MartinDavid Ragan5 Joey Logano5 Brian Vickers7 Regan Smith3 Jamie McMurraye David ReutimannO Bobby Labonte22871313185,912,8305,401,1905,303,0205,936,470228415142284319.1722623281622461414186,161,02010471165,633,950104118154,775,16010131104,825,56099733104,318,05094718.3,853,69093713123,955,56093615124,750,390935253,807,7809322285,020,78093022103,830,9109062184,203,660902246.3,856,01084634,301,8808201254,579,8607951244,794,7707571134,374,7704,505,6503,878,39067012David Gilliland57212e Casey Mearss Dave Blaney- Andy Lally*5 Robby Gordon5 J.J. Yeley2,838,3203,229,210541508113982,868,2202682,271,8901922,559,500

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Managerial Report

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images