# Data: Calculating Statistic Information

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The table attached (see excel file) contains data related to performance and success statistics for LPGA golfers in 2009. The matrix X contains 11 predictor variables:

1. Average drive (yards)

2. Percent of fairways hit

3. Percent of greens reached in regulation

4. Average putts per round

5. Percent of sand saves (2 shots to hole)

6. Tournaments played in

7. Green in regulation putts per hole

8. Completed tournaments

9. Average percentile in tournaments (high is good)

10. Rounds completed

11. Average strokes per round

The column vector y contains the output variable, prize winnings ($1000s). For each variable in x and y, calculate the:

a. Maximum

b. Minimum

c. Mean

d. Median

e. 20% Trimmed mean

f. Standard deviation

g. Variance

h. Skewness

i. Kurtosis.

j. Determine if the signals are univariate normally distributed

k. Identify any outliers in the data. Present these results in a compact way (Hint: it's not a figure).

l. Evaluate the covariance and correlation of the input variables (x)

m. Evaluate the correlation of the input variables (x) to the output variable (y)

n. Discuss the results of the statistical analysis and draw some conclusions about what it means for the data. Include any plots and tables that will support your findings. Make sure figures and tables are correctly label.

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##### Solution Summary

A statistical analysis is completed for the example of golfer performance and prize winning.

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