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Chapter 2: 134E (page 133)

Ranking driving performance of professional golfers.Refer to The Sport Journal(Winter 2007) analysis of anew method for ranking the total driving performance ofgolfers on the PGA tour, Exercise 2.52 (p. 97). Recall thatthe method uses both the average driving distance (yards)and driving accuracy (percent of drives that land in thefairway). Data on these two variables for the top 40 PGAgolfers are saved in the accompanying file. A professionalgolfer is practicing a new swing to increase his averagedriving distance. However, he is concerned that his drivingaccuracy will be lower. Is his concern a valid one? Explain.

Short Answer

Expert verified

Yes, his concern is valid.

Step by step solution

01

Determining the validity of the concern

To answer the question, we will first have to check whether there is any relation between the driving distance and the driving accuracy. Therefore we will first construct a scatterplot using the data given for the two variables.

The data for the two variables is as follows:

The graph is given below:

We can infer from the graph that there is a negative correlation between driving distance and driving accuracy. It is observed that for golfers who had a lengthy driving distance, their driving accuracy was low.

Therefore, the concern of the professional golfer who is trying to increase his driving distance is valid. If he tries to increase his driving distance, his accuracy will reduce.

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Most popular questions from this chapter

Question: Construct a scatterplot for the data in the following table.

Variable 1: 5 1 1.5 2 2.5 3 3.5 4 4.5 5

Variable 2: 2 1 3 4 6 10 9 12 17 17

Consider the following sample of five measurements: 2, 1, 1, 0, 3.

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Compute xbar, s2, and sfor each of the following data sets. If appropriate, specify the units in which your answer is expressed.

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Ranking driving performance of professional golfers.A group of researchers developed a new method forranking the total driving performance of golfers on theProfessional Golf Association (PGA) tour (The Sport Journal,Winter 2007). The method requires knowinga golfer鈥檚 average driving distance (yards) and drivingaccuracy (percent of drives that land in the fairway).The values of these two variables are used to compute adriving performance index. Data for 40 PGA golfers (asranked by the new method for a recent tour year) aresaved in the accompanying file. The first five and last fiveobservations are listed in the table below.

a.Find the mean, median, and mode for the 40 driving performance index values.

b.Interpret each of the measures of central tendency, part a.

c.Use the results, part a,to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.
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