Question: Every April, The Masters—one of the
Every April, The Masters—one of the most prestigious golf tournaments on the PGA golf tour—is played in Augusta, Georgia. In 2016, 55 players received prize money. The 2016 winner, Danny Willett, earned a prize of $1,800,000. Jordan Spieth and Lee Westwood tied for second place, earning $880,000. Two amateur players finished “in the money†but they could not accept the prize money. They are not included in the data. The data are briefly summarized below. Each player has three corresponding variables: finishing position, score, and prize (in dollars). 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 an even par score of 288 for the four rounds, how much would you expect that player to earn?
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Position Player Score Prize Danny Willett Jordan Spieth $1,800,000 $880,000 $880,000 $413,333 $413,333 1 283 286 2(tied) 2(tied) 4(tied) 4(tied) 4(tied) Lee Westwood 286 Paul Casey 287 J.B. Holmes 287 Dustin Johnson 287 $413,333 52(tied) 52(tied) $24,900 $24,900 $24,000 $23,400 $23,400 $23,000 Keegan Bradley Larry Mize Hunter Mahan 301 301 54 302 55(tied) 55(tied) Kevin Na 303 Cameron Smith 303 57 Thongchai Jaidee 307
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