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Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five

  • Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), or the number of top ten finishes (Top 10). Which of these four variables provides the best single predictor of winnings?
  • Develop an estimated regression equation that can be used to predict Winnings ($) 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 then discuss your findings and conclusions.
  • What did you find in your analysis of the data? Were there any surprising results? What recommendations would you make based on your findings? Include details from your managerial report to support your recommendations.
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\fDone Week 5 NASCAR (chapter 15) (1).xisx Driver Points Poles Wins Top 5 Top 10 Winnings ($) Poles Wins Top 5 Top 10 Winnings ($) Tony Stewart 2403 5 9 19 6,529,870 Poles W H Carl Edwards 2403 19 26 8,485,990 Wins 0.1331353 Kevin Harvick 2345 9 19 6,197,140 Top 5 0.4373122 0.725170253 Matt Kenseth 2330 - W O 12 20 6,183,580 Top 10 0.4578118 0.697178094 0.901744983 ONWWAL Brad Keselowski 2319 10 14 5,087,740 Winnings ($) 0.4060871 0.661561743 0.861167689 0.897756 1 Jimmie Johnson 2304 O 14 21 6,296,360 Dale Earnhardt Jr. 2290 4 12 4,163,690 Jeff Gordon 2287 18 5,912,830 Denny Hamlin 2284 14 5,401,190 SUMMARY OUTPUT Ryan Newman 2284 17 5,303,020 - AN-- Kurt Busch 2262 16 5,936,470 Regression Statistics Kyle Busch 2246 OWONOWWOFF 18 6,161,020 Multiple R 0.9058082 Clint Bowyer 1047 16 5,633,950 R Square 0.8204884 Kasey Kahne 1041 15 4,775,160 Adjusted R Square 0.7965535 A.J. Allmendinger 1013 10 4,825,560 Standard Error 581382.2 Greg Biffle 997 10 4,318,050 Observations 35 Paul Menard 947 3,853,690 Martin Truex Jr. 937 12 3,955,560 ANOVA - - N N W A A N N N U W A WHOO A A OO D UI W Marcos Ambrose 936 12 4,750,390 df SS MS F Significance F Jeff Burton 935 3,807,780 Regression 4 4.63473E+13 1.15868E+13 34.28003 8.61942E- Juan Montoya 932 8 5,020,780 Residual 30 1.01402E+13 3.38005E+11 O ONNNNOO- Mark Martin 930 10 3,830,910 Total 34 5.64875E+13 David Ragan 906 4,203,660 Joey Logano 902 3,856,010 Coefficients Standard Error t Stat P-value Lower 950Upper 95%Lower 950Upper 95% Brian Vickers 846 4,301,880 Intercept 3140367.1 184229.0243 17.04599533 5.59454E- 2764121 3516613 2764121 3516613 Regan Smith 820 OOOOO- NWAUNTO 4,579,860 Poles -12938.92 107205.0751 -0.12069317 0.904739 -231881 206003 -231881 206003 Jamie McMurray 795 4,794,770 Wins 13544.813 111226.2163 0.12177716 0.903888 -213609 240699 -213609 240699 David Reutimann 757 4,374,770 Top 5 71629.393 50666.86771 1.413732416 0.167734 -31846.2 175104.9 -31846.2 175104.9 Bobby Labonte 670 4,505,650 Top 10 117070.58 33432.88382 3.501659548 0.00147 48791.52 185349.6 48791.52 185349.6

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