Americas
Europe
134E
Expert-verifiedRanking 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.
Yes, his concern is valid.
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.
Question: Corporate sustainability of CPA firms. Refer to the Business and Society (March 2011) study on the sustainability
behaviors of CPA corporations, Exercise 2.48 (p. 96). Numerical measures of variation for level of support for the 992 senior managers are shown in the accompanying Minitab printout.
Descriptive Statistics: Support | |||||||
Variable | N | Mean | StDev. | Variance | Minimum | Maximum | Range |
Support | 992 | 67.755 | 26.871 | 722.036 | 0.000 | 155.000 | 155.000 |
a. Locate the range on the printout. Comment on the accuracy of the statement: “The difference between the largest and smallest values of level of support for the 992 senior managers is 155 points.”
b. Locate the variance on the printout. Comment on the accuracy of the statement: “On average, the level of support for corporate sustainability for the 992 senior managers is 722 points.”
c. Locate the standard deviation on the printout. Does the distribution of support levels for the 992 senior managers have more or less variation than another distribution with a standard deviation of 50? Explain.
d. Which measure of variation best describes the distribution of 992 support levels? Explain.
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