The Ladies Professional Golfers Association LPGA maintains s

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.

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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).

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?

Solution