4. -15.5 points MBasic Stat7 4.E.024 My Notes Ask Your Teacher The Masters is on

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4. -15.5 points MBasic Stat7 4.E.024 My Notes Ask Your Teacher The Masters is one of the four major golf tournaments. The figure below is a scatterplot of the scores for the first two rounds of the 2013 Masters for all the golfers entered. Only the 60 golfers with the lowest two-round total advance to the final two rounds (unless several people are tied for 60th place, in which case all those tied for 60th place advance). The plot has a grid pattern because golf scores must be whole numbers 85 80 65 65 70 75 80 85 First-round score (a) Read the graph: What was the lowest score in the first round of play? How many golfers had this low score? golfers What were their scores in the second round? (Enter your answers as a comma-separated list.) (b) Read the graph: Consider the golfer that had the highest score in the second round. What was this score? What was the same golfer's score in the first round? (c) Is the correlation between first-round scores and second-round scores closest to r = 0.01, r=0.99? Explain your choice r= 0.25, r 0.75, or r = 0.01, there is barely any correlation O r = 0.25, the correlation is small but positive O r 0.75, the correlation is strong but there is some scatter r = 0.99, the correlation is very strong Does the graph suggest that knowing a professional golfer's score for one round is much help in predicting his score for another round on the same course? O Knowing a golfer's first round score would be very useful in predicting a second-round score O Knowing a golfer's first round score would not be very useful in predicting a second-round score

Explanation / Answer

a) The lowest score in round 1 appears to be 66. Two players had this score and their scores in the second round were 73 and 76

b) The highest score in the second round appears to be 85, his score in the first round was 79

c) The correlation appears to be closest to r = 0.25. The data is very loosely clustered and widely spread suggesting a low correlation. The graph suggests that knowing golfer's score for one round will not predict his score in another round very well

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