1 Player 2 Bubba Watson 3 Dustin Johnson 4 J.B. Holmes 5 Rory McIlroy 6 Charlie Beljan 7 Robert Garrigus 8 John Daly 9 Gary Woodland 10 Adam Scott 11 Scott Piercy 12 Kyle Stanley 13 Keegan Bradley 14 Martin Laird 15 Ryan Palmer 16 Scott Stallings 17 Jason Day 18 Josh Teater 19 Harrison Frazar 20 Jhonattan Vegas 21 Louis Oosthuizen 22 Troy Matteson 23 Edward Loar 24 Sean O'Hair 25 Seung-Yul Noh 26 Graham DeLaet 27 Troy Kelly 28 Angel Cabrera 29 Lee Westwood 30 Jason Kokrak B D E Club Head Speed Ball Speed Launch Angle Total Distance 124.69 184.98 8.79 309.2 121.62 180.57 11.30 301.8 121.33 180.00 12.97 300.6 120.21 178.07 11.25 298.6 122.77 180.71 9.79 296.9 121.39 180.21 12.31 296.5 119.07 176.70 13.13 295.9 123.80 181.59 9.54 295.6 119.30 176.81 9.29 295.3 117.59 174.42 11.64 295 119.51 177.02 12.59 294.5 116.83 172.35 12.61 294.3 117.74 174.88 10.41 293.5 116.12 172.43 13.31 293.2 118.85 175.48 10.74 293.1 119.16 176.87 11.88 292.7 115.89 171.96 11.98 292.6 114.39 169.80 12.32 292.1 122.47 180.38 9.99 291.7 116.79 173.32 10.59 291.3 116.55 172.48 13.09 291.1 117.69 172.53 11.53 291 116.52 172.87 11.84 290.7 118.35 175.08 9.89 290 120.04 176.71 11.86 289.7 115.64 171.38 9.97 289.7 119.08 176.09 9.95 289.4 117.20 173.38 9.68 289.2 118.14 175.31 10.72 288.9 31 Aaron Baddeley 32 Bill Haas 33 Martin Flores 34 Nick Watney 35 Phil Mickelson 36 Carl Pettersson 37 Harris English 38 Boo Weekley 39 Bo Van Pelt 40 Bobby Gates 41 Tiger Woods 42 Charles Howell III 43 Charley Hoffman 44 Vijay Singh 45 Rickie Fowler 46 Davis Love III 47 Erik Compton 48 Tommy Gainey 49 Daniel Chopra 50 John Rollins 51 Jeff Overton 52 Mark Anderson 53 Chris Couch 54 Jason Dufner 55 John Senden 56 Webb Simpson 7 Emnie Els 119.05 115.55 118.93 118.69 116.81 113.85 117.43 114.87 114.09 119.63 120.94 118.16 115.76 113.75 115.64 115.21 114.56 112.94 116.88 113.54 112.04 117.84 119.61 112.60 115.90 113.34 113.20 176.75 171.27 175.38 175.82 173.18 169.03 174.16 170.52 169.38 175.51 177.69 173.88 171.17 168.32 171.41 171.09 170.04 167.58 172.20 168.34 166.07 174.76 174.46 167.05 171.66 166.74 168.09 9.04 10.57 9.73 9.20 10.35 11.11 10.03 9.41 11.91 9.03 10.67 8.45 11.31 11.71 11.72 11.25 12.06 12.25 11.74 11.53 11.65 9.58 9.99 11.02 9.80 10.47 12.67 288.9 288.7 288.7 288.6 288.6 288.5 288.2 288.2 287.9 287.8 287.8 287.8 287.5 287.5 287.4 287.3 287.1 287.1 287 286.8 286.7 286.6 286.4 286.1 286.1 286 285.8 285.7 D E 55 John Senden 56 Webb Simpson 57 Emie Els 58 Kevin Chappell 59 Andres Romero 60 Charl Schwartzel 61 Robert Karlsson 62 Bud Cauley 63 Jonathan Byrd 64 Bill Lunde 65 Sergio Garcia 66 Greg Owen 67 Garth Mulroy 68 Steve Stricker 69 Hunter Mahan 70 Matt Jones 71 Rory Sabbatini 72 Scott Brown 73 Brian Harman 74 Jimmy Walker 75 Ryo Ishikawa 76 Billy Horschel 77 Chris Kirk 78 Camilo Villegas 79 Roberto Castro 80 John Merrick 81 Will Claxton 82 DJ. Trahan 83 Kevin Kisner 84 Kevin Stadler 85 Kevin Streelman 115.90 113.34 113.20 117.22 115.42 116.89 116.86 112.39 115.14 111.97 119.13 118.85 114.82 112.22 112.05 116.29 112.20 112.53 111.08 117.43 113.55 111.19 112.79 113.03 112.82 113.11 111.70 114.75 110.97 113.62 115.47 171.66 166.74 168.09 172.05 171.26 172.76 173.67 166.45 170.67 166.16 175.35 174.38 169.78 166.29 166.15 172.23 166.59 165.95 164.87 174.04 168.13 164.38 167.15 167.86 166.77 167.87 165.53 169.13 164.10 168.43 169 53 9.80 10.47 12.67 10.88 10.57 9.38 10.85 13.32 10.47 10.97 8.28 9.11 11.89 10.89 11.12 10.15 11.16 11.90 11.35 9.93 11.43 12.11 11.78 11.31 10.73 9.87 10.92 11.31 11.60 11.20 10.94 286 285.8 285.7 285.7 285.5 285.5 285.5 285.4 285.4 285.3 285.3 285.2 285.1 285.1 284.8 284.8 284.8 284.8 284.7 284.7 284.7 284.3 284 283.9 283.8 283.7 283.7 283.6 283.6 283.6 2836 Shoot St B D E F A 85 Kevin Streelman 86 Danny Lee 87 Mathew Goggin 88 Justin Rose 89 Daniel Summerhays 90 Fredrik Jacobson 91 Pat Perez 92 Roland Thatcher 93 Stephen Gangluff 94 Ben Crane 95 Cameron Tringale 96 Geoff Ogilvy 97 J.J. Killeen 98 Brendan Steele 99 Miguel Angel Carballo 100 Sang-Moon Bae 101 Brandt Jobe 02 Marc Leishman 03 Kyle Reifers 04 Tim Herron 05 Stewart Cink 06 James Driscoll 07 Steve Wheatcroft 08 Jonas Blixt 09 Padraig Harrington 10 Tommy Biershenk 11 Tom Gillis 12 Chad Campbell 13 John Huh 14 Ian Poulter 15 Rod Pamnline Data Sheet2 Sheet3 115.47 113.89 112.82 114.63 113.02 113.47 115.40 112.64 114.55 109.99 114.76 114.96 116.26 112.26 113.62 114.12 115.70 115.52 111.59 112.73 115.95 117.58 109.67 111.92 114.92 109.44 113.96 112.89 111.11 110.97 112 31 169.53 168.05 167.40 167.47 167.09 166.26 169.33 166.92 169.97 163.20 169.63 170.40 171.08 166.28 168.60 168.73 171.65 171.26 165.44 167.17 171.13 173.27 162.76 164.16 170.53 162.21 167.07 167.23 164.87 164.73 16609 10.94 11.01 11.42 11.99 10.28 9.56 10.84 12.20 10.35 12.29 10.78 10.88 8.23 12.02 10.16 9.33 10.69 11.24 11.70 10.60 11.20 8.75 11.61 11.49 10.47 12.65 9.04 9.77 11.88 9.85 9.42 283.6 283.5 283.4 283.3 283.2 283.2 283.2 283.2 283.2 283 283 283 282.9 282.8 282.7 282.7 282.6 282.2 281.8 2816 281.4 281.3 281.3 281.2 281.2 281.2 281.1 281 281 280.9 2809 B D E E F 113 John Huh 114 Ian Poulter 115 Rod Pampling 116 Brandt Snedeker 117 Jeff Maggert 118 Johnson Wagner 119 Matt Every 120 Derek Lamely 121 Blake Adams 122 D.A. Points 123 Billy Mayfair 124 Matt Bettencourt 125 KJ. Chi 126 Brendon de Jonge 127 Graeme McDowell 128 Hunter Haas 129 Matt Kuchar 130 Ryan Moore 131 Robert Allenby 132 Marco Dawson 133 Ricky Barnes 134 Trevor Immelman 135 Spencer Levin 136 Vaughn Taylor 137 George McNeill 138 J.J. Henry 139 David Hearn 140 Y.E. Yang 141 Richard H. Lee 42 Ted Potter, Jr. 43 William McGirt B 111.11 110.97 112.31 110.75 106.09 110.58 113.42 116.06 113.65 110.48 110.08 113.05 109.62 115.65 112.40 111.96 108.13 111.51 111.62 111.22 116.05 118.20 110.50 108.42 115.66 114.03 109.74 112.73 109.79 109.70 11280 164.87 164.73 166.09 164.04 157.48 164.09 167.54 172.10 168.14 163.95 163.34 167.89 162.04 170.32 165.25 165.31 160.51 165.08 165.58 164.84 170.84 172.33 164.05 161.00 171.40 168.60 162.69 166.05 162.97 161.75 16742 11.88 9.85 9.42 12.61 13.05 10.31 10.98 10.75 10.04 11.40 13.37 11.39 10.75 8.57 10.04 8.51 11.36 10.22 11.79 10.66 8.44 6.72 9.77 13.30 9.74 11.15 14.06 9.38 10.73 9.77 281 280.9 280.9 280.8 280.8 280.8 280.8 280.6 280.5 280.5 280.4 280.3 280.2 280.1 280 280 280 280 279.9 279.8 279.7 279.7 279.4 279.4 279.2 279.1 279 278.8 278.7 278.7 AL K JX Player B D E F A 140 Y.E. Yang 141 Richard H. Lee 142 Ted Potter, Jr. 143 William McGirt 144 Cameron Beckman 145 Chris Stroud 146 Arjun Atwal 147 Kris Blanks 148 Alexandre Rocha 149 Chez Reavie 150 Kevin Na 151 Russell Knox 152 Kyle Thompson 153 Charlie Wi 154 Scott Dunlap 155 Zach Johnson 156 Stuart Appleby 157 Brendon Todd 158 Sung Kang 159 Michael Thompson 160 Jim Furyk 161 Dicky Pride 162 Nathan Green 163 Rocco Mediate 164 Gary Christian 165 Ben Curtis 166 Ken Duke 67 Tim Clark 68 Bob Estes 69 Michael Bradley 70 David Toms . Data Sheet2 Sheet3 112.73 109.79 109.70 112.89 109.79 111.16 109.72 112.19 109.32 109.86 112.97 109.50 107,68 111.44 110.76 107.57 112.43 110.66 109.76 111.63 109.60 109.35 115.02 107.57 109.31 108.23 110.93 104.37 111.90 114.15 104 29 C 166.05 162.97 161.75 167.43 162.39 164.80 162.87 164.63 162.34 163.06 165.33 162.41 159.89 164.82 162.39 159.21 165.42 163.73 162.70 165.53 162.12 162.21 169.92 159.75 162.23 160.08 164.09 154.88 165.98 169.53 154 98 9.38 10.73 9.77 9.80 10.88 10.85 11.23 10.34 11.78 11.78 10.04 10.82 11.65 11.15 10.19 12.29 9.24 10.69 11.81 11.93 9.56 11.13 7.63 11.74 10.54 12.00 8.66 12.37 10.02 10.24 13.99 278.8 278.7 278.7 278.7 278.3 278.1 277.8 277.7 277.3 277.3 277.3 277.2 277.1 276.9 276.4 276.4 276.3 276.2 276.1 276 275.9 275.7 275.6 275,6 275.3 275.2 275.2 275.2 275.1 275.1 2749 A1 X Player B D E F A 167 Tim Clark 168 Bob Estes 169 Michael Bradley 170 David Toms 171 Heath Slocum 172 Stephen Ames 173 Luke Donald 174 Patrick Shechan 175 Greg Chalmers 176 Jason Bohn 177 Brian Davis 178 David Mathis 179 Justin Leonard 180 Bryce Molder 181 Mark Wilson 182 Brian Gay 183 John Mallinger 184 Billy Hurley III 185 Ryuji Imada 186 Jerry Kelly 187 Chris DiMarco 188 Colt Knost 189 Gavin Coles 190 Tom Pernice Jr. 191 Nick O'llern 192 104.37 111.90 114.15 104.29 106.18 109.85 110.69 107.82 109.83 109.76 105.83 107.65 107.33 109.28 107.55 104.59 107.99 109.15 109.89 105.40 107.13 106.76 104.75 107.03 104.66 154.88 165.98 169.53 154.98 157.45 161.89 163.94 159.98 162.54 162.83 156.96 159.39 159.25 161.82 159.14 155.17 160.27 158.94 162.56 155.50 157.41 157.74 154.43 158.41 155.27 12.37 10.02 10.24 13.99 11.72 10.38 11.45 11.12 9.29 10.33 12.09 10.82 11.02 10.70 12.75 13.09 11.66 10.26 10.37 12.64 11.35 10.76 10.55 11.54 11.54 275.2 275.1 275.1 274.9 274.9 274.9 274.7 274.7 274.6 274.4 274.2 274.1 273.5 273 273 272.8 272.4 270.9 270.9 270.4 270.1 268.8 268.5 2682 265.7 1. The Data A. Here is the set-up: The Professional Golfers Association (PGA) maintains data on performance and earnings for members of the PGA Tour. For the 2012 season Bubba Watson led all players in total driving distance, with an average of 309.2 yards per drive. Some of the factors thought to influence driving distance are club head speed, ball speed, and launch angle. For the 2012 season Bubba Watson had an average club head speed of 124.69 miles per hour, an average ball speed of 184.98 miles per hour, and an average launch angle of 8.79 degrees. The dataset named PGADriving Dist contains data on total driving distance and the factors related to driving distance for 190 members of the PGA Tour (PGA Tour website, November 1, 2012). Descriptions for the variables in the data set follow. 1. Club Head Speed: Speed at which the club impacts the ball (mph). 2. Ball Speed: Peak speed of the golf ball at launch (mph). 3. Launch Angle: Vertical launch angle of the ball immediately after leaving the club (degrees). I. Total Distance: The average number of yards per drive. B. Download the Data: Our data are in Excel, but we will analyze in JASP. Download the Excel file to your computer Desktop. Open in Excel. C. Save as a CSV: Name the file (we will call this PGADriving Dist"); save the file as a CSV to your computer Desktop D. Open in JASP: Main Menu Icon > Open > Computer > Desktop ... PGADriving Dist.csv II. Regression with JASP Linear Regression in JASP Dataset: PGADriving Dist.csv Set the level of all variables (except Player) to scale (if necessary) 1. Create a Scatterplot: Regression Correlation (under Classical) Move the scale variables of interest into the Variables box Additional Options... Select Display pairwise; Plots... Select Scatter plots 2. Conduct a Multiple Regression: Regression Linear Regression (under Classical) Move the Y variable into the Dependent variable box; Move the X variable(s) into the Covariates window, Statistics... Select Collinearity diagnostics and Durbin-Watson Using the JASP skills above, you can now create scatterplots and regression equations. Although you can do a single regression model and move variables in and out of the variables box, you may prefer to create separate regression analyses for each morel, saving the results as you go. 1. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the club head speed (to 4 decimals). P = + ClubHeadSpeed 2. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the ball speed (to 4 decimals). PE _+__BallSpeed 3. Create a scatterplot between club head speed and ball speed. What is the correlation? Evaluate the relationship between club head speed and ball speed for collinearity (will require creating a regression model). 4. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the ball speed and the launch angle (to 2 decimals). P = ____+___ BallSpeed + ___launch angle Compute SSE, SST, and SSR Use the Sum of Squares in the ANOVA model SSR (sum of squares treatment/regression). SSE (sum of squares error/residual) SST (sum of squares total) What percentage of the total sum of squares can be accounted for by the estimated regression equation (entire model for H.)? What is the standard error of the estimate for ball speed? What is the value of the t test statistic for launch angle? Suppose a new member of the PGA Tour for 2013 has a ball speed of 170 miles per hour and a launch angle of 11 degrees. Use your estimated regression equation to predict the average number of yards per drive for this player. Round to nearest whole number. BA NI 1 Player 2 Bubba Watson 3 Dustin Johnson 4 J.B. Holmes 5 Rory McIlroy 6 Charlie Beljan 7 Robert Garrigus 8 John Daly 9 Gary Woodland 10 Adam Scott 11 Scott Piercy 12 Kyle Stanley 13 Keegan Bradley 14 Martin Laird 15 Ryan Palmer 16 Scott Stallings 17 Jason Day 18 Josh Teater 19 Harrison Frazar 20 Jhonattan Vegas 21 Louis Oosthuizen 22 Troy Matteson 23 Edward Loar 24 Sean O'Hair 25 Seung-Yul Noh 26 Graham DeLaet 27 Troy Kelly 28 Angel Cabrera 29 Lee Westwood 30 Jason Kokrak B D E Club Head Speed Ball Speed Launch Angle Total Distance 124.69 184.98 8.79 309.2 121.62 180.57 11.30 301.8 121.33 180.00 12.97 300.6 120.21 178.07 11.25 298.6 122.77 180.71 9.79 296.9 121.39 180.21 12.31 296.5 119.07 176.70 13.13 295.9 123.80 181.59 9.54 295.6 119.30 176.81 9.29 295.3 117.59 174.42 11.64 295 119.51 177.02 12.59 294.5 116.83 172.35 12.61 294.3 117.74 174.88 10.41 293.5 116.12 172.43 13.31 293.2 118.85 175.48 10.74 293.1 119.16 176.87 11.88 292.7 115.89 171.96 11.98 292.6 114.39 169.80 12.32 292.1 122.47 180.38 9.99 291.7 116.79 173.32 10.59 291.3 116.55 172.48 13.09 291.1 117.69 172.53 11.53 291 116.52 172.87 11.84 290.7 118.35 175.08 9.89 290 120.04 176.71 11.86 289.7 115.64 171.38 9.97 289.7 119.08 176.09 9.95 289.4 117.20 173.38 9.68 289.2 118.14 175.31 10.72 288.9 31 Aaron Baddeley 32 Bill Haas 33 Martin Flores 34 Nick Watney 35 Phil Mickelson 36 Carl Pettersson 37 Harris English 38 Boo Weekley 39 Bo Van Pelt 40 Bobby Gates 41 Tiger Woods 42 Charles Howell III 43 Charley Hoffman 44 Vijay Singh 45 Rickie Fowler 46 Davis Love III 47 Erik Compton 48 Tommy Gainey 49 Daniel Chopra 50 John Rollins 51 Jeff Overton 52 Mark Anderson 53 Chris Couch 54 Jason Dufner 55 John Senden 56 Webb Simpson 7 Emnie Els 119.05 115.55 118.93 118.69 116.81 113.85 117.43 114.87 114.09 119.63 120.94 118.16 115.76 113.75 115.64 115.21 114.56 112.94 116.88 113.54 112.04 117.84 119.61 112.60 115.90 113.34 113.20 176.75 171.27 175.38 175.82 173.18 169.03 174.16 170.52 169.38 175.51 177.69 173.88 171.17 168.32 171.41 171.09 170.04 167.58 172.20 168.34 166.07 174.76 174.46 167.05 171.66 166.74 168.09 9.04 10.57 9.73 9.20 10.35 11.11 10.03 9.41 11.91 9.03 10.67 8.45 11.31 11.71 11.72 11.25 12.06 12.25 11.74 11.53 11.65 9.58 9.99 11.02 9.80 10.47 12.67 288.9 288.7 288.7 288.6 288.6 288.5 288.2 288.2 287.9 287.8 287.8 287.8 287.5 287.5 287.4 287.3 287.1 287.1 287 286.8 286.7 286.6 286.4 286.1 286.1 286 285.8 285.7 D E 55 John Senden 56 Webb Simpson 57 Emie Els 58 Kevin Chappell 59 Andres Romero 60 Charl Schwartzel 61 Robert Karlsson 62 Bud Cauley 63 Jonathan Byrd 64 Bill Lunde 65 Sergio Garcia 66 Greg Owen 67 Garth Mulroy 68 Steve Stricker 69 Hunter Mahan 70 Matt Jones 71 Rory Sabbatini 72 Scott Brown 73 Brian Harman 74 Jimmy Walker 75 Ryo Ishikawa 76 Billy Horschel 77 Chris Kirk 78 Camilo Villegas 79 Roberto Castro 80 John Merrick 81 Will Claxton 82 DJ. Trahan 83 Kevin Kisner 84 Kevin Stadler 85 Kevin Streelman 115.90 113.34 113.20 117.22 115.42 116.89 116.86 112.39 115.14 111.97 119.13 118.85 114.82 112.22 112.05 116.29 112.20 112.53 111.08 117.43 113.55 111.19 112.79 113.03 112.82 113.11 111.70 114.75 110.97 113.62 115.47 171.66 166.74 168.09 172.05 171.26 172.76 173.67 166.45 170.67 166.16 175.35 174.38 169.78 166.29 166.15 172.23 166.59 165.95 164.87 174.04 168.13 164.38 167.15 167.86 166.77 167.87 165.53 169.13 164.10 168.43 169 53 9.80 10.47 12.67 10.88 10.57 9.38 10.85 13.32 10.47 10.97 8.28 9.11 11.89 10.89 11.12 10.15 11.16 11.90 11.35 9.93 11.43 12.11 11.78 11.31 10.73 9.87 10.92 11.31 11.60 11.20 10.94 286 285.8 285.7 285.7 285.5 285.5 285.5 285.4 285.4 285.3 285.3 285.2 285.1 285.1 284.8 284.8 284.8 284.8 284.7 284.7 284.7 284.3 284 283.9 283.8 283.7 283.7 283.6 283.6 283.6 2836 Shoot St B D E F A 85 Kevin Streelman 86 Danny Lee 87 Mathew Goggin 88 Justin Rose 89 Daniel Summerhays 90 Fredrik Jacobson 91 Pat Perez 92 Roland Thatcher 93 Stephen Gangluff 94 Ben Crane 95 Cameron Tringale 96 Geoff Ogilvy 97 J.J. Killeen 98 Brendan Steele 99 Miguel Angel Carballo 100 Sang-Moon Bae 101 Brandt Jobe 02 Marc Leishman 03 Kyle Reifers 04 Tim Herron 05 Stewart Cink 06 James Driscoll 07 Steve Wheatcroft 08 Jonas Blixt 09 Padraig Harrington 10 Tommy Biershenk 11 Tom Gillis 12 Chad Campbell 13 John Huh 14 Ian Poulter 15 Rod Pamnline Data Sheet2 Sheet3 115.47 113.89 112.82 114.63 113.02 113.47 115.40 112.64 114.55 109.99 114.76 114.96 116.26 112.26 113.62 114.12 115.70 115.52 111.59 112.73 115.95 117.58 109.67 111.92 114.92 109.44 113.96 112.89 111.11 110.97 112 31 169.53 168.05 167.40 167.47 167.09 166.26 169.33 166.92 169.97 163.20 169.63 170.40 171.08 166.28 168.60 168.73 171.65 171.26 165.44 167.17 171.13 173.27 162.76 164.16 170.53 162.21 167.07 167.23 164.87 164.73 16609 10.94 11.01 11.42 11.99 10.28 9.56 10.84 12.20 10.35 12.29 10.78 10.88 8.23 12.02 10.16 9.33 10.69 11.24 11.70 10.60 11.20 8.75 11.61 11.49 10.47 12.65 9.04 9.77 11.88 9.85 9.42 283.6 283.5 283.4 283.3 283.2 283.2 283.2 283.2 283.2 283 283 283 282.9 282.8 282.7 282.7 282.6 282.2 281.8 2816 281.4 281.3 281.3 281.2 281.2 281.2 281.1 281 281 280.9 2809 B D E E F 113 John Huh 114 Ian Poulter 115 Rod Pampling 116 Brandt Snedeker 117 Jeff Maggert 118 Johnson Wagner 119 Matt Every 120 Derek Lamely 121 Blake Adams 122 D.A. Points 123 Billy Mayfair 124 Matt Bettencourt 125 KJ. Chi 126 Brendon de Jonge 127 Graeme McDowell 128 Hunter Haas 129 Matt Kuchar 130 Ryan Moore 131 Robert Allenby 132 Marco Dawson 133 Ricky Barnes 134 Trevor Immelman 135 Spencer Levin 136 Vaughn Taylor 137 George McNeill 138 J.J. Henry 139 David Hearn 140 Y.E. Yang 141 Richard H. Lee 42 Ted Potter, Jr. 43 William McGirt B 111.11 110.97 112.31 110.75 106.09 110.58 113.42 116.06 113.65 110.48 110.08 113.05 109.62 115.65 112.40 111.96 108.13 111.51 111.62 111.22 116.05 118.20 110.50 108.42 115.66 114.03 109.74 112.73 109.79 109.70 11280 164.87 164.73 166.09 164.04 157.48 164.09 167.54 172.10 168.14 163.95 163.34 167.89 162.04 170.32 165.25 165.31 160.51 165.08 165.58 164.84 170.84 172.33 164.05 161.00 171.40 168.60 162.69 166.05 162.97 161.75 16742 11.88 9.85 9.42 12.61 13.05 10.31 10.98 10.75 10.04 11.40 13.37 11.39 10.75 8.57 10.04 8.51 11.36 10.22 11.79 10.66 8.44 6.72 9.77 13.30 9.74 11.15 14.06 9.38 10.73 9.77 281 280.9 280.9 280.8 280.8 280.8 280.8 280.6 280.5 280.5 280.4 280.3 280.2 280.1 280 280 280 280 279.9 279.8 279.7 279.7 279.4 279.4 279.2 279.1 279 278.8 278.7 278.7 AL K JX Player B D E F A 140 Y.E. Yang 141 Richard H. Lee 142 Ted Potter, Jr. 143 William McGirt 144 Cameron Beckman 145 Chris Stroud 146 Arjun Atwal 147 Kris Blanks 148 Alexandre Rocha 149 Chez Reavie 150 Kevin Na 151 Russell Knox 152 Kyle Thompson 153 Charlie Wi 154 Scott Dunlap 155 Zach Johnson 156 Stuart Appleby 157 Brendon Todd 158 Sung Kang 159 Michael Thompson 160 Jim Furyk 161 Dicky Pride 162 Nathan Green 163 Rocco Mediate 164 Gary Christian 165 Ben Curtis 166 Ken Duke 67 Tim Clark 68 Bob Estes 69 Michael Bradley 70 David Toms . Data Sheet2 Sheet3 112.73 109.79 109.70 112.89 109.79 111.16 109.72 112.19 109.32 109.86 112.97 109.50 107,68 111.44 110.76 107.57 112.43 110.66 109.76 111.63 109.60 109.35 115.02 107.57 109.31 108.23 110.93 104.37 111.90 114.15 104 29 C 166.05 162.97 161.75 167.43 162.39 164.80 162.87 164.63 162.34 163.06 165.33 162.41 159.89 164.82 162.39 159.21 165.42 163.73 162.70 165.53 162.12 162.21 169.92 159.75 162.23 160.08 164.09 154.88 165.98 169.53 154 98 9.38 10.73 9.77 9.80 10.88 10.85 11.23 10.34 11.78 11.78 10.04 10.82 11.65 11.15 10.19 12.29 9.24 10.69 11.81 11.93 9.56 11.13 7.63 11.74 10.54 12.00 8.66 12.37 10.02 10.24 13.99 278.8 278.7 278.7 278.7 278.3 278.1 277.8 277.7 277.3 277.3 277.3 277.2 277.1 276.9 276.4 276.4 276.3 276.2 276.1 276 275.9 275.7 275.6 275,6 275.3 275.2 275.2 275.2 275.1 275.1 2749 A1 X Player B D E F A 167 Tim Clark 168 Bob Estes 169 Michael Bradley 170 David Toms 171 Heath Slocum 172 Stephen Ames 173 Luke Donald 174 Patrick Shechan 175 Greg Chalmers 176 Jason Bohn 177 Brian Davis 178 David Mathis 179 Justin Leonard 180 Bryce Molder 181 Mark Wilson 182 Brian Gay 183 John Mallinger 184 Billy Hurley III 185 Ryuji Imada 186 Jerry Kelly 187 Chris DiMarco 188 Colt Knost 189 Gavin Coles 190 Tom Pernice Jr. 191 Nick O'llern 192 104.37 111.90 114.15 104.29 106.18 109.85 110.69 107.82 109.83 109.76 105.83 107.65 107.33 109.28 107.55 104.59 107.99 109.15 109.89 105.40 107.13 106.76 104.75 107.03 104.66 154.88 165.98 169.53 154.98 157.45 161.89 163.94 159.98 162.54 162.83 156.96 159.39 159.25 161.82 159.14 155.17 160.27 158.94 162.56 155.50 157.41 157.74 154.43 158.41 155.27 12.37 10.02 10.24 13.99 11.72 10.38 11.45 11.12 9.29 10.33 12.09 10.82 11.02 10.70 12.75 13.09 11.66 10.26 10.37 12.64 11.35 10.76 10.55 11.54 11.54 275.2 275.1 275.1 274.9 274.9 274.9 274.7 274.7 274.6 274.4 274.2 274.1 273.5 273 273 272.8 272.4 270.9 270.9 270.4 270.1 268.8 268.5 2682 265.7 1. The Data A. Here is the set-up: The Professional Golfers Association (PGA) maintains data on performance and earnings for members of the PGA Tour. For the 2012 season Bubba Watson led all players in total driving distance, with an average of 309.2 yards per drive. Some of the factors thought to influence driving distance are club head speed, ball speed, and launch angle. For the 2012 season Bubba Watson had an average club head speed of 124.69 miles per hour, an average ball speed of 184.98 miles per hour, and an average launch angle of 8.79 degrees. The dataset named PGADriving Dist contains data on total driving distance and the factors related to driving distance for 190 members of the PGA Tour (PGA Tour website, November 1, 2012). Descriptions for the variables in the data set follow. 1. Club Head Speed: Speed at which the club impacts the ball (mph). 2. Ball Speed: Peak speed of the golf ball at launch (mph). 3. Launch Angle: Vertical launch angle of the ball immediately after leaving the club (degrees). I. Total Distance: The average number of yards per drive. B. Download the Data: Our data are in Excel, but we will analyze in JASP. Download the Excel file to your computer Desktop. Open in Excel. C. Save as a CSV: Name the file (we will call this PGADriving Dist"); save the file as a CSV to your computer Desktop D. Open in JASP: Main Menu Icon > Open > Computer > Desktop ... PGADriving Dist.csv II. Regression with JASP Linear Regression in JASP Dataset: PGADriving Dist.csv Set the level of all variables (except Player) to scale (if necessary) 1. Create a Scatterplot: Regression Correlation (under Classical) Move the scale variables of interest into the Variables box Additional Options... Select Display pairwise; Plots... Select Scatter plots 2. Conduct a Multiple Regression: Regression Linear Regression (under Classical) Move the Y variable into the Dependent variable box; Move the X variable(s) into the Covariates window, Statistics... Select Collinearity diagnostics and Durbin-Watson Using the JASP skills above, you can now create scatterplots and regression equations. Although you can do a single regression model and move variables in and out of the variables box, you may prefer to create separate regression analyses for each morel, saving the results as you go. 1. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the club head speed (to 4 decimals). P = + ClubHeadSpeed 2. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the ball speed (to 4 decimals). PE _+__BallSpeed 3. Create a scatterplot between club head speed and ball speed. What is the correlation? Evaluate the relationship between club head speed and ball speed for collinearity (will require creating a regression model). 4. Develop an estimated regression equation that can be used to predict the average number of yards per drive given the ball speed and the launch angle (to 2 decimals). P = ____+___ BallSpeed + ___launch angle Compute SSE, SST, and SSR Use the Sum of Squares in the ANOVA model SSR (sum of squares treatment/regression). SSE (sum of squares error/residual) SST (sum of squares total) What percentage of the total sum of squares can be accounted for by the estimated regression equation (entire model for H.)? What is the standard error of the estimate for ball speed? What is the value of the t test statistic for launch angle? Suppose a new member of the PGA Tour for 2013 has a ball speed of 170 miles per hour and a launch angle of 11 degrees. Use your estimated regression equation to predict the average number of yards per drive for this player. Round to nearest whole number. BA NI