Golf Handicaps Are Used to Allow Players of Differing Abilities

question 62

Multiple Choice

Golf handicaps are used to allow players of differing abilities to play against one another in a fair match. Recently a sample of golfers was selected in an effort to develop a model for explaining the difference in handicaps. One independent variable of interest is the number of rounds played per year. Another is whether or not the player is using an "original" name brand club or a copy. In recent years, a number of smaller golf club manufacturers have attempted to copy major golf club designs and sell "copies" of original clubs such as the Big Bertha by Calloway. The resulting regression analysis containing both Rounds Played and a Dummy variable for Club Used is shown as follows: Given this information, which of the following statements is not correct?

• A) The overall regression model is insignificant at the alpha = .05 level.
• B) The Club Dummy variable is statistically significant in the model meaning that knowing that a player used an original club or copy is of value in knowing the player's handicap.
• C) The two independent variables do not explain a statistically significant portion of the variation in golf handicap.
• D) All of the above are not correct.

---

Definitions:

Significance Level

The threshold below which the p-value must fall for the null hypothesis to be rejected in statistical testing.

Sample Standard Deviation

A statistic that measures the dispersion or variability of a sample dataset around its mean.

Sample Mean

The average value of a sample set from a population, often used as an estimate of the population mean.

Standard Deviation

A quantification of the level of diversity or variability in a collection of values, demonstrating how much the values differ from their average.