The Masters, one of the most prestigious golf tournaments on the PGA golf tour, is scheduled in April and played in Augusta, Georgia. In 2011, 48 players received prize money. The 2011 winner, Charl Schwartzel of South Africa, earned a prize of $1,440,000. Adam Scott and Jason Day finished in a tie for second place, each earning $704,000. The data are briefly summarized below. Each player has three corresponding variables: finishing position or rank, score, and prize (in dollars). The complete file is in the data sets labeled as Ex13-36-8e. We want to study the relationship between score and prize.

a. Using Score as the independent variable and Prize as the dependent variable, develop a scatter diagram. Does the relationship appear to be linear? Does it seem reasonable that as Score increases the Prize decreases?
b. What percentage of the variation in the dependent variable, Prize, is accounted for by the independent variable, Score?
c. Calculate a new variable, Log-Prize, computing the log to the base 10 of Prize. Draw a scatter diagram with Log-Prize as the dependent variable and Score as the independent variable.
d. Develop a regression equation and compute the coefficient of determination using Log-Prize as the dependent variable.
e. Compare the coefficient of determination in parts (b) and (d). What do you conclude?
f. Write out the regression equation developed in part (d). If a player shot a total of 280 for the four rounds, how much would you expect that player to earn?

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Position Player Score 272 276 276 278 278 278 Prize 1 Schwartzel $1,440,000 Tied 2 Scott Tied 2 Day Tied 4 Ogilvy Tied 4 Woods Tied 4 Donald 704,000 704,000 Tied 43 Overton 291 292 293 293 28,800 26,400 24,000 24,000 45 Watney Tied 46 Baddeley Tied 46 Els 48 Villegas