Please assist with this question, using the R regression tool. Due tomorrow, thanks. The pga dataset file is attached.

An avid fan of the PGA tour with limited background in statistics has sought your help in answering one of the age-old questions in golf, namely, what is the relative importance of each different aspect of the game on average prize money in professional golf?

The following data on the top 196 tour players in 2006 can be found on the book web site in the file pgatour2006.csv:

Y, PrizeMoney = average prize money per tournament

x1 , Driving Accuracy is the percent of time a player is able to hit the fairway with his tee shot.

x2 , GIR, Greens in Regulation is the percent of time a player was able to hit the green in regulation. A green is considered hit in regulation if any part of the ball is touching the putting surface and the number of strokes taken is two or less than par.

x3, Putting Average measures putting performance on those holes where the green is hit in regulation (GIR). By using greens hit in regulation the effects of chipping close and one putting are eliminated.

x4, Birdie Conversion% is the percent of time a player makes birdie or better after hitting the green in regulation.

x5, SandSaves% is the percent of time a player was able to get "up and down" once in a greenside sand bunker.

x6, Scrambling% is the percent of time that a player misses the green in regulation, but still makes par or better.

x7, PuttsPerRound is the average total number of putts per round.(http://www. pgatour.com/r/stats/;accessed March 13, 2007)

a)A statistician from Australia has recommended to the analyst that they not transform any of the predictor variables but that they transform Y using the log transformation. Do you agree with this recommendation? Give reasons to support your answer.

b)Develop a valid full regression model containing all seven potential predictor variables listed above. Ensure that you provide justification for your choice of full model, which includes scatter plots of the data, plots of standardized residuals, and any other relevant diagnostic plots.

c)(c)Identify any points that should be investigated. Give one or more reasons to support each point chosen.

d)Describe any weaknesses in your model.

Name TigerWoodPrizeMoneAveDrivingDrivingAccGIR Aaron Badd 0 60661 288.3 60.73 Adam Scot 0 262045 301.1 62 Alex Arago 0 3635 302.6 51.12 Alex Cejka 0 17516 288.8 66.4 Arjun Atwa 0 16683 287.7 63.24 Arron Ober 0 107294 285 62.53 Bart Bryant 0 50620 282.2 72.76 Ben Crane 0 57273 285.8 63.51 Ben Curtis 0 86782 278.8 66.61 Bernhard L 0 23396 285.8 62.41 Bill Haas 0 29567 296.7 57.71 Billy Andra 0 44080 285.6 62.84 Billy Mayfa 0 47172 282.3 70.14 Bo Van Pelt 0 49640 297.4 60.72 Bob Estes 0 53610 286.4 64.01 Bob May 0 26129 292.7 61.9 Bob Tway 0 11989 284.5 61.16 Brad Faxon 0 20911 270.3 57.56 Brandt Job 0 28658 297.2 61.12 Brent Geib 0 19683 286.9 67.04 Bret Quigl 0 79316 289.6 58.85 Bret Wete 0 120927 307.8 61.46 Brian Bate 0 24814 296.7 59.78 Brian Davis 0 27224 286.6 70.06 Brian Gay 0 33471 274.8 68.64 Briny Baird 0 33782 285.1 71.39 Bubba Dick 0 20322 298.8 62.81 Bubba Wat 0 37751 319.6 51.5 Camilo Vill 0 60073 302.1 58.06 Carl Peter 0 94571 286.6 61.01 Carlos Fra 0 15668 293.4 55.71 Chad Camp 0 112443 290.9 59.77 Charles How 0 51770 295.4 56.39 Charles Wa 0 37735 300.1 64.09 Charley Ho 0 38455 304.4 58.01 Chris Couc 0 50249 299.7 60.98 Chris DiMa 0 59151 279.3 64.34 Chris Riley 0 18345 284.5 70.55 Chris Smith 0 8734 299.2 66.02 Corey Pavi 0 56873 265.9 67.66 Craig Barl 0 45752 294.1 58.04 D.A. Points 0 14499 289.4 62.37 D.J. Trahan 0 31371 291.5 64.04 Daisuke M 0 38275 284.5 71.75 Daniel Cho 0 46377 298.5 56.77 Danny Ellis 0 16630 293.6 60.58 Darron Stil 0 10504 287.7 68.23 PuttingAveBirdieConvSandSaves Scrambling 58.26 1.745 31.36 54.8 59.37 69.12 1.767 30.39 53.61 57.94 59.11 1.787 29.89 37.93 50.78 67.7 1.777 29.33 45.13 54.82 64.04 1.761 29.32 52.44 57.07 69.27 1.775 29.2 47.2 57.67 68.67 1.812 24.95 41.84 55.46 62.01 1.736 32.28 45.6 56.49 65.25 1.798 26.36 45 56.88 65.66 1.778 28.94 48.45 59.1 64.24 1.786 29.39 48.7 59.55 66.44 1.788 27.7 45.3 58.84 66.55 1.796 26.65 48.61 60.42 66.45 1.772 31.09 50 57.63 66.73 1.777 28.07 51.56 60.12 69.09 1.785 27.86 56.41 55.36 64.17 1.771 27.68 41.67 55.27 58.05 1.771 28.13 46.85 57.22 67.23 1.79 28.02 46.88 54.91 64.95 1.778 28.04 47.74 60.46 67.83 1.779 29.04 53.57 61.84 67.82 1.766 32.23 52.94 53.47 64.53 1.808 25.53 47.42 57.83 65.37 1.79 28.34 50 59.54 63.19 1.727 31.05 61.59 64.6 70.2 1.777 28.87 44.55 56.42 65.63 1.777 29.89 49.67 53.03 66.74 1.797 30.66 42.97 58.35 65.29 1.78 30.55 45.21 56.45 62.31 1.776 29.62 53.05 58.95 65.18 1.814 27.98 52.45 54.55 67.43 1.795 28.02 58.45 57.84 65.89 1.823 26.23 48.3 56.92 67.96 1.797 27.51 45.13 58.96 66.61 1.753 31.94 45.91 55.86 66.15 1.793 30.53 33.91 49.02 66.45 1.772 29.22 51.22 59.02 62.47 1.755 30.03 61.9 60.65 69.32 1.806 27.01 36.36 52.7 63.57 1.815 23.43 58.33 66.45 65.75 1.769 30.54 49.54 54.67 62.92 1.773 30.35 43.84 56.18 64.01 1.78 29.03 49.34 56.26 66.24 1.783 28.5 44.88 57.5 63.5 1.712 34.75 52.72 57.47 62.59 1.764 28.93 43.21 58 69.67 1.789 27.17 50.72 60.37 David Duva David Howe David McKe David Toms Davis Love I Dean Wils Doug Barr Dudley Har Duffy Wald Eric Axley Ernie Els Frank Lickli Fred Coupl Fred Funk Fredrik Ja Geoff Ogilv Greg Chalm Greg Kraf Greg Owen Harrison Fr Heath Slo Henrik Bjo Hidemichi Hunter Ma Ian Leggat Ian Poulter J.B. Holme J.J. Henry J.L. Lewis J.P. Hayes James Drisc Jason Bohn Jason Gore Jason Schul Jeff Brehau Jeff Gove Jeff Magge Jeff Overto Jeff Sluma Jerry Kelly Jerry Smith Jesper Parn Jim Furyk Jimmy Wal Joe Durant Joe Ogilvie Joey Sindel John Cook 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13262 65174 15187 132327 119444 73819 13865 26301 22340 43951 129234 57092 45904 54477 43820 217748 5402 10528 54862 30656 39356 15840 2240 38188 13031 103594 57216 82196 25804 36918 7583 57824 24724 5265 16927 27361 55014 20612 43173 56058 19594 54513 300555 7331 100398 37004 27673 29296 297.4 289.1 284.4 285.4 301.9 282.9 275.5 286.3 286.6 294.6 295.1 286.1 301.5 272.8 290.7 295.3 286.4 275.8 295.1 304.6 281.2 296.8 281.7 295 291.9 287.9 318.8 295.9 279.6 287.2 296.4 289 299.6 293.1 286.1 289.8 281.5 299.1 279.8 278.1 277.9 290.5 281.9 296.9 289.1 287.3 284.2 277 51.09 62.38 67.41 69.18 59.89 63.47 67.49 58.13 67.92 63.68 57.62 66.62 54.36 78.01 62.45 61.89 53.9 70.01 67.13 60.94 74.67 62.55 58.88 68.31 61.1 70.19 54.13 60.03 64.2 66.88 50.54 66.78 59.95 59.43 66.17 65.65 71.86 58.28 64.81 70.26 69.66 61.37 73.85 49.75 78.43 64.07 65.58 70.65 60.06 63.21 65.83 66.18 66.59 65.27 60.43 63.79 66.24 65.73 63.72 67.98 65.33 66.35 63.99 62.94 59.04 62.74 68.54 64.04 67.8 64.39 57.91 67.4 63.23 66.03 65.3 68.16 62.67 64.24 61.32 65.87 63.03 63.19 67.3 72.03 65.36 65.29 65.24 67.11 66.55 64.42 70.71 61.97 69.75 65.08 68.64 66.33 1.767 1.73 1.777 1.759 1.751 1.765 1.781 1.783 1.803 1.748 1.759 1.763 1.816 1.785 1.76 1.769 1.764 1.77 1.812 1.748 1.792 1.8 1.824 1.777 1.793 1.772 1.802 1.788 1.802 1.753 1.817 1.797 1.796 1.808 1.787 1.813 1.789 1.793 1.763 1.781 1.78 1.745 1.742 1.764 1.785 1.757 1.799 1.789 30.91 32.88 28.69 31.43 31.53 29.26 28.59 28.99 28.35 31.14 30.51 29.87 27.01 27.1 29.61 31.44 29.06 27.22 28.87 32.7 27.84 27.3 23.92 31.06 27.93 28.8 31.56 28.12 26.37 32.6 28.83 27.89 29.97 27.73 29.35 25.8 27.5 28.41 29.54 28.46 28.79 30.9 30.47 28.84 28.67 30.99 27.09 27.07 49.59 50 50.91 59.43 44.9 55.32 60.5 62.2 58.9 39.58 53.23 45.59 40.59 52.41 48.94 56.67 56.91 44.25 42.27 49.39 51.97 45.99 53.91 46.32 47.86 50.68 49.26 39.68 47.62 36.84 48.59 52.87 50 46.09 42.31 50.46 47.5 51.54 56.02 54.05 58.59 47.95 47.62 46.73 41.5 52.86 39.69 46.07 52.42 53.69 57.11 59.29 55.14 59.37 60.77 58.96 59.03 56.47 59.33 61 55.13 60.06 57.58 58.89 56.28 58.05 62.61 57.72 55.66 57.31 54.07 55.13 54.47 60.38 51.98 54.78 58.75 58.76 54.58 61.97 53.85 56.54 55.04 58.68 53.47 59.21 58.86 60.98 60.11 60.59 64.66 53.65 56 59.79 53.54 60.59 John Daly John Engler, John Husto John Rollin John Send Jon Mills Jonathan B Jonathan K Jose Maria Justin Leon Justin Rose K.J. Choi Kenny Perr Kent Jones Kevin Suth Kirk Triplet Kris Cox Larry Mize Lee Janzen Len Mattia Lucas Glov Luke Donal Marco Daw Mark Broo Mark Calca Mark O'Me Mark Wils Mathew Go Mathias Gr Mat Hans Michael Al Michael Co Mike Sposa Mike Weir Nathan Gr Nicholas Nick Watne Olin Brown Omar Urest Padraig Ha Pat Perez Patrick Sh Paul Azinge Paul Goydo Paul Stank Peter Lona Phil Mickel Retief Goo 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9149 2692 15964 53530 58953 2426 70421 18085 117801 30068 58189 91406 37214 26899 25918 42589 18494 12110 18721 3025 83483 176523 20188 5777 26123 11315 18513 41390 22467 7490 18838 4444 5285 78489 56693 8272 42890 25135 26532 89312 37869 11376 23403 37100 14527 38046 224027 145414 307.1 287.4 292 295.5 296.2 298.2 298.1 294.6 287.2 282.3 291.4 287 293.1 287.1 293.5 281 298.4 278.3 282.7 290.6 299.4 283.7 291.9 274.3 282.4 274.4 282 296 295.1 300.5 291.8 281.9 284.8 281.2 282 295.6 300.6 276.6 280.5 294.7 298.4 287.5 285.8 274.3 295.4 280.6 300.7 297.6 52.48 58.07 58.74 64.22 64.95 57.05 64.15 65.37 59.68 67.24 64 65.03 68.45 67.95 64.52 72.76 59.31 74.33 56.39 56.71 63.69 66.86 61.17 69.35 65.3 57.35 67.23 63.5 62.51 59.85 58.01 60.99 65.71 64.1 63.1 67.44 61.78 73.56 74.3 66.14 59.31 64.99 62.65 72.9 61.23 64.19 58.61 57.28 60.88 59.78 62.58 66.12 71.15 62.71 69.61 68.42 65.52 63.36 67.89 68.12 68.75 65.46 68.29 65.28 66.39 64.16 63.08 58.85 67.33 66.05 64.94 62.92 62.07 59.44 67.98 67.14 66.54 66.92 62.7 64.12 63.16 66.47 63.03 65.35 65.38 64.32 66.38 65.22 64.67 63.89 62.39 65.28 65.87 63.16 68.28 65.46 1.79 1.809 1.777 1.755 1.793 1.835 1.75 1.828 1.77 1.779 1.759 1.792 1.813 1.762 1.796 1.757 1.783 1.803 1.765 1.773 1.763 1.752 1.752 1.799 1.792 1.778 1.758 1.824 1.8 1.839 1.746 1.819 1.823 1.752 1.757 1.829 1.788 1.764 1.807 1.758 1.771 1.788 1.769 1.793 1.811 1.824 1.731 1.771 31.47 25.28 30.24 30.73 27.23 24.36 33.09 25.8 28.89 26.34 31.72 27.53 26.46 29.54 27.15 29.05 28.66 23.17 30.58 29.21 32.02 30.19 30.74 23.86 30.67 27.66 29.85 27.78 29.17 27.36 31.86 26.4 26.93 30.73 31.32 27.17 31.72 29.06 25.89 31.18 30.05 26.92 28 26.98 26.9 25.35 35.66 30.26 43.18 49.61 48.21 39.33 51.97 55.05 48.6 34.35 54.43 48.8 52.31 56.49 48.84 52.87 52.99 45.35 48.04 43.75 50.35 47.37 47.53 63.64 53.23 48.03 44.3 51.11 55.81 45.13 40.28 39.08 59.09 45.07 56.04 53.79 53.07 44.67 43.51 44.59 47.89 52.86 47.19 41.22 52.35 44.35 47.87 57.14 40.4 49.48 52.46 53.61 58.97 52.97 58.18 55.76 60.94 57.55 57.78 58.73 58.29 58.9 54.57 55.89 60.58 56 56.73 60.49 52.76 55.38 56.23 65.35 56.47 57.41 56.28 58.9 58.45 55.31 56.34 58.02 58.87 51.29 59.63 58.67 60.98 53.79 61.15 55.09 63.59 60.38 54.4 59.08 63.16 60.67 56.98 58.13 55.84 57.37 Rich Beem Richard S. Robert All Robert Da Robert Ga Robert Gar Rod Pampli Roger Tamb Ron Whita Rory Sabbat Ryan Hieta Ryan Moor Ryan Palme Ryuji Imad Scot Guts Scot Verpl Sean O'Hai Sergio Garc Shane Bert Shaun Mich Shigeki M Skip Kendal Stephen A Stephen Le Steve Elkin Steve Flesc Steve Jone Steve Lowe Steve Stric Stewart Ci Stuart App Tag Ridings Ted Purdy Thomas Le Tiger Wood Tim Clark Tim Herron Tim Petrov Tjaart van Todd Fisch Todd Hamil Tom Lehma Tom Pernice Tommy Armo Trevor Im Troy Mate Vance Veaz Vaughn Tay 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 24379 53634 68345 14558 16455 19200 111028 4667 10715 119240 3816 51005 36428 32843 19973 69173 47046 91808 20502 56305 38471 19997 114055 27657 15012 42958 11421 36289 106577 105997 150889 15098 36861 9062 662771 89770 65783 20064 11187 11309 6117 84604 72623 14098 160175 55581 10354 68613 295.6 283.4 293.9 281.7 279.5 309.8 288.2 299.2 281.8 290.4 305.9 292.2 295.8 284.9 303.3 276.1 292.7 292.7 279.1 288.4 286.3 281.2 289.8 276.4 285.8 286.2 277.1 287.1 285.3 292 289.7 305.3 287.8 286.9 306.4 276.7 294.8 281 282.7 274.6 283.6 286.6 283.9 282.4 294.9 298.7 285.8 286.6 63.24 67.99 69.33 62.93 69.51 57.25 60.46 57.53 68.57 56.49 51.03 66.96 62.03 58.62 64.98 75.23 63.7 61.11 67.35 61.79 61.37 72.08 62.98 65.81 73.91 65.59 64.51 62.52 66.98 59.72 59.62 54.1 65.86 64.01 60.71 67.27 58.28 63.54 69.69 64.83 56.32 60.96 65.28 66.74 62.08 59.45 57.58 63.31 66.2 66.02 67.89 63.55 64.83 64.66 62.5 65.39 66.03 64.52 60.08 63.25 64.2 64.81 66.67 66.02 64.74 67.47 63.89 67.62 63.59 67.21 66.49 67.13 69.61 65.99 62.8 65.46 68.01 64.9 63.53 61.22 67.05 65.9 74.15 65.96 62.62 61.29 64.52 62.23 56.87 65.93 64.53 63.76 69.06 66.34 61.58 64.08 1.787 1.764 1.746 1.781 1.788 1.792 1.745 1.833 1.792 1.781 1.809 1.773 1.764 1.764 1.77 1.755 1.8 1.802 1.751 1.777 1.749 1.77 1.752 1.755 1.817 1.771 1.809 1.782 1.734 1.756 1.743 1.766 1.796 1.851 1.756 1.763 1.802 1.799 1.808 1.744 1.792 1.827 1.756 1.752 1.771 1.803 1.752 1.725 29.25 28.43 31.09 27.87 27.67 31.43 30.65 26.43 26.2 30.18 26.96 30.27 30.93 28.04 29.06 29.9 29.74 30.43 30.28 28.05 30.86 27.24 30.41 27.88 24.96 28.43 26.24 28.33 30.56 30.99 31.53 31.72 28.62 23.71 35.26 30.66 27.17 27.35 25.45 29.27 27.38 24.37 31.7 29.97 30.06 28.12 30.02 34.26 44.87 46.81 51.49 50.35 52.9 45.89 59.15 39.36 37.5 54.48 40.66 52.25 43.4 54.94 41.77 50.39 51.9 46.74 46.11 46.34 50.64 49.52 45.54 50.5 57.14 55.61 49.25 52.29 62.03 57.34 56.72 51.02 41.55 47.52 55.17 47.9 51.88 56.25 46.67 40 42.15 39.36 51.72 42.86 55.05 47.17 48.24 57.35 53.66 59.83 56.18 57.62 55.97 54.73 58.2 49.47 54.24 59.43 53.07 59.77 58.78 60.68 51.63 62.55 55.79 52.8 57.47 56.27 60.86 58.82 59.09 60.97 64.52 60.8 57.92 57.21 65.55 60.61 59.18 54.58 54.09 58.47 62.81 59.09 55.23 60.57 62.91 56.76 51.34 54.89 58.58 53.77 60.54 57.68 51.96 55.36 Vijay Singh Wes Short, Will MacKe Woody Aus Zach Johns 0 0 0 0 0 170460 12803 30344 38043 90824 293.7 291.6 296.7 287.7 283.7 59.4 57.78 62.91 61.11 69.63 67.83 64.18 67.99 62.67 66.86 1.753 1.782 1.809 1.773 1.774 31.77 30.56 28.65 30.49 26.94 55.09 48.41 38.33 47.94 47.29 60.28 49.5 54.44 59.94 57.52 BounceBacPutsPerRound 19.3 27.96 19.35 29.28 16.8 29.2 17.05 29.46 18.21 28.93 20 29.56 20.85 30.06 19.59 28.46 14.46 29.5 22 29.17 19.78 29.04 18.36 29.31 13.15 29.36 21.4 29.24 17.18 29.16 21.18 29.47 17.28 29.08 18.8 28.5 19.62 29.59 19.62 28.96 20.08 29.19 25.71 29.3 19.29 29.29 24.71 29.21 19.92 28.05 24.12 29.64 22.95 29.32 22.48 29.56 22.46 29.29 24.14 28.84 19.44 29.9 19.43 29.51 20.44 29.75 16.26 29.41 21.11 28.94 19.69 29.83 22.17 29.22 15.57 28.61 19.71 30.18 12.29 28.91 19.2 29.41 18.5 28.95 15.3 29.26 17.78 29.23 22.04 28.21 18.95 28.84 19.67 29.67 15.79 19.21 18.1 25.54 22.52 23.43 16.89 21.74 19.14 19.28 20.67 22.5 15.76 20.07 20.99 22.17 19.64 15.49 20.73 23.26 16.28 20.14 16.09 18.82 19.43 25.38 20.08 22.99 20.79 23.53 17.25 24.46 19.45 16.67 17.73 18.6 17.97 21.07 14.84 19.47 16.86 22.54 25.6 17.2 16.91 20.63 17.65 18.68 28.87 28.89 29.19 29.01 29 28.83 28.58 28.92 29.47 28.8 28.72 29.04 30.02 29.33 28.79 28.93 28.63 28.95 29.64 28.55 29.58 29.32 29.26 29.65 29.28 29.06 29.75 29.69 29.23 28.84 29.39 29.18 29.5 29.45 29.67 30.11 29.33 29.18 29.05 29.17 29.35 28.58 28.85 29.03 29.81 28.7 30 29.31 20.22 16.95 20.96 20.28 24.89 18.01 22.64 24.81 19.25 18.94 21.31 17.01 17.67 18.63 21.31 18.56 17.57 16.79 17.95 17.39 20.42 22.22 20.32 15.27 16.99 16.46 19.5 16.82 22.61 18.36 17.96 20.22 20.1 21.79 24.92 17.52 21.64 23.68 20.92 23.26 20 15.85 15.52 16.83 15.5 19.33 23.33 23.78 29.37 29.36 28.92 29.15 29.84 29.65 29.06 29.99 29.1 28.87 29 29.51 30.19 29.2 29.5 28.79 29.3 29.18 29.23 28.75 29.15 28.54 28.67 29.27 29.37 28.7 29.28 30.16 29.39 30.15 28.48 30 29.37 29.06 28.56 30.12 29.08 28.86 29.34 29.04 29.04 28.99 28.38 29.17 29.71 29.51 28.91 28.98 20.16 21.25 20.09 24.1 21.02 24.63 20.08 19.03 18.45 19.83 15.81 20.32 20.27 22.34 16.46 19.55 22.4 23.56 20.52 20.82 19.77 18.46 20.96 16.02 15.97 20.4 14.18 15.94 17.74 18.49 17.35 19.12 23.3 14.84 24.77 18.81 14.02 14.08 18.71 21.55 14.29 16.48 22.22 19.9 19.91 15.12 17.24 25.93 29.6 28.94 29.1 28.93 29.26 29.28 28.44 30.18 29.63 28.92 29.36 28.69 28.8 28.87 29.53 28.72 29.56 29.78 28.71 29.53 28.58 29.15 29.05 28.95 29.88 28.88 29.33 29.14 28.26 28.75 28.63 28.79 29.66 30.1 29.38 29.03 29.44 29.01 29.42 28.59 29.01 30.08 28.88 29.08 29.26 29.52 28.93 28.67 22.39 20.95 21.19 21.85 18.91 28.89 29.7 29.97 28.72 29.32