The Ladies Professional Golfers Association (LPGA) maintains statistics on performanceand earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfersfor 2014 appear in the file named 2014LPGAStats3 (LPGA website, April 2015). Earnings($1000s) is the total earnings in thousands of dollars; Scoring Avg. is the average score for allevents; Greens in Reg. is the percentage of time a player is able to hit the greens in regulation;Putting Avg. is the average number of putts taken on greens hit in regulation; and Drive Accuracy is the percentage of times a tee shot comes to rest in the fairway. A green is considered hitin regulation if any part of the ball is touching the putting surface and the difference betweenthe value of par for the hole and the number of strokes taken to hit the green is at least 2.a. Develop an estimated regression equation that can be used to predict the average scorefor all events given the average number of putts taken on greens hit in regulation
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Ladies Professional Golfers Association (LPGA) maintains statistics on performance
and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers
for 2014 appear in the file named 2014LPGAStats3 (LPGA website, April 2015). Earnings
($1000s) is the total earnings in thousands of dollars; Scoring Avg. is the average score for all
Putting Avg. is the average number of putts taken on greens hit in regulation; and Drive Accuracy is the percentage of times a tee shot comes to rest in the fairway. A green is considered hit
in regulation if any part of the ball is touching the putting surface and the difference between
the value of par for the hole and the number of strokes taken to hit the green is at least 2.
a. Develop an estimated regression equation that can be used to predict the average score
for all events given the average number of putts taken on greens hit in regulation
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