## Related questions with answers

Using data from 176 male golfers on the 2009 PGA tour, a least-squares model was calculated to predict scoring average $(y)$ using $x_1=$ driving average (in yards), $x_2=$ driving accuracy (measured as a percent from 0 to 100), $x_3=$ putts per green-in-regulation (the average number of putts per hole when the green is reached in regulation), $x_4=$ sand save percent (the percentage of times a player hits his ball into a sand trap and successfully makes it into the hole in two or fewer additional strokes, measured as a percent from 0 to 100 ), and $x_5=$ over 40 years old ( 1 if over 40,0 if 40 or younger). Remember that lower scores are better in golf! The model is

$\begin{aligned} & \hat{y}=69.6-0.041 x_1-0.072 x_2+10.603 x_3-0.0265 x_4-0.026 x_5 \\ & s=0.34 \end{aligned}$

a) Interpret the value of $s=0.34$.

b) Predict the 2009 scoring average for Tiger Woods, who had a driving average of $298.4$, a driving accuracy of 64.3 %, a putts per green-inregulation average of $1.743$, a sand save percentage of 61.9%, and who is younger than 40 years old in 2009.

c) Tiger Woods actually had a scoring average of $68.84$ in 2009. Calculate and interpret his residual. (d) Interpret the coefficients of driving average and putts per green-inregulation.

e) After factoring in other variables, does the model suggest that it helps to be older? Explain. Why might this be?

Solution

Verified$\textbf{a)}$ The interpretation of this value is that the actual scoring averages were roughly $0.34$ points away from their predicted value when using the given model.

## Create an account to view solutions

## Create an account to view solutions

## Recommended textbook solutions

#### Probability and Statistics for Engineers and Scientists

9th Edition•ISBN: 9780321629111 (9 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor#### Statistics and Probability with Applications

3rd Edition•ISBN: 9781464122163Daren S. Starnes, Josh Tabor## More related questions

1/4

1/7