Mathematics, 17.12.2021 16:40 mattybacchetti
The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGATour. Year-end performance statistics for the 30 players who had the highest total earnings in LPGA Tour events for 2005 appear on the data disk in the file named LPGATour (www. lpga. com, 2006). Earnings ($1000) is the total earnings in thousands of dollars; Scoring Avg. is the average score for all events; Greens in Reg. is the percentage of time a player is able to hit the green in regulation; Putting Avg. is the average number of putts taken on greens hit in regulation; and Sand Saves is the percentage of time a player is able to get "up and down" once in a greenside sand bunker. A green is considered hit in regulation if any part of the ball is touching the putting surface and the difference between the value of par for the hole and the number of strokes taken to hit the green is at least 2.
Click on the webfile logo to reference the data.
Develop an estimated regression equation that can be used to predict the total earnings given the average number of putts taken on greens hit in regulation (to the nearest whole number).
Earnings (000s) = + PuttAvg
What is the SSE associated with this model (to the nearest whole number)?
What is the value of the coefficient of determination (to 3 decimals)? Note: report R2 between 0 and 1.
Develop an estimated regression equation that can be used to predict the total earnings by adding two independent variables to the regression equation in part (a). The added variables are the percentage of time a player is able to hit the green in regulation and the percentage of time a player is able to make a sand save by getting "up and down" once in a greenside bunker (to the nearest whole number).
Earnings (000s) =+ PuttAvg
+ GreensReg + SandSaves
What is the SSE associated with this model (to the nearest whole number)?
What is the value of the coefficient of determination (to 3 decimals)? Note: report R2 between 0 and 1.
Using = .05, test whether the two independent variables added in part (b) contributed significantly to the estimated regression equation.
What is the value of the F test statistic (to 2 decimals)?
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 12
What is your conclusion about the two variables GreensReg and SandSaves?
SelectConclude that these variables contribute significantly to the modelCannot conclude that these variables contribute significantly to the modelItem 13
In general, low scores should lead to high earnings. To investigate this option, develop a simple linear regression that will predict total earnings based on average score (to the nearest whole number).
Earnings (000s) = + ScoreAvg
What is the value of the coefficient of determination (to 3 decimals)? Note: report R2 between 0 and 1.
Which regression model considered in this exercise would you prefer to use?
PlayerEarnings ($1000)Scoring Avg. Greens in Reg. Putting Avg. Sand Saves
Annika Sorenstam258869.330.7721.750.595
Paula Creamer153270.980.7271.750.468
Cristie Kerr136170.860.7221.760.362
Lorena Ochoa120271.390.6971.750.31
Jeong Jang113271.170.711.790.485
Natalie Gulbis101071.240.7091.780.343
Meena Lee87072.320.6861.820.422
Hee-Won Han85671.310.7071.780.444
Gloria Park84271.430.71.790.426
Catriona Matthew77771.460.6961.780.443
Candie Kung75471.520.7021.850.393
Marisa Baena74571.920.6841.790.446
Birdie Kim71573.160.6791.860.386
Soo-Yun Kang71171.80.6311.770.581
Lorie Kane69972.280.7181.840.475
Heather Bowie67771.460.7421.820.455
Wendy Ward67572.140.7071.810.413
Pat Hurst63471.470.7091.770.36
Christina Kim62171.660.7181.820.307
Rosie Jones61571.580.6621.80.435
Carin Koch61271.590.6991.790.408
Liselotte Neumann60771.470.6791.810.322
Mi Hyun Kim58471.650.6741.80.25
Juli Inkster57971.330.7011.790.375
Michele Redman54071.590.6861.810.386
Jennifer Rosales51471.850.7051.810.417
Karrie Webb50071.520.7091.810.353
Sophie Gustafson48572.590.6511.810.389
Young Kim47171.70.6781.790.292
Karine Icher45272.130.7281.760.222
Answers: 2
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The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings...
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