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 €œin 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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Score Posltion Player Score Prize $1,800,000 Danny WIllett 283 2(tled) 2(tled) $880,000 Jordan Spleth Lee Westwood 286 $880,000 286 $413,333 4(tled) Paul Casey 287 J.B. Holmes 4(tled) 4(tled) 287 $413,333 $413,333 Dustin Johnson 287 Keegan Bradley Larry Mize Hunter Mahan 301 $24,900 52(tled) 52(tled) $24,900 $24,000 301 54 302 $23,400 55(tled) Kevin Na 303 $23,400 55(tled) Cameron Smith 303 $23,000 57 Thongchal Jaldee 307