Develop an estimated regression equation that can be used to predict Winnings ($) given the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), and the number of top ten (Top 10) finishes. Test for individual significance and discuss your findings and conclusions.   Driver Points Poles Wins Top 5 Top 10 Winnings ($) 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

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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.

 

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
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