Angela Lopez, a golf instructor, is interested in investigating the relationship between a golfer's average driving distance and 18-hole score. She recently observed the performance of six golfers during one round of a tournament and measured, as accurately as possible, the distances (yards) of their drives and noted their final scores. She then computed each golfer's average drive distance for 18 holes. The results of her sample are shown below.
$$\begin{array} { c c c }
\text { Golfer } & \begin{array} { c }
\text { Avg. Drive } \
( \text { yards) }
\end{array} & \begin{array} { c }
18 \text {-Hole } \
\text { Score }
\end{array} \
\hline 1 & 277.6 & 69 \
2 & 259.5 & 71 \
3 & 269.1 & 70 \
4 & 267.0 & 70 \
5 & 255.6 & 71 \
6 & 272.9 & 69 \
\hline
\end{array}$$
Compute and interpret both the sample covariance and the sample correlation coefficient.

Question

Angela Lopez, a golf instructor, is interested in investigating the relationship between a golfer's average driving distance and 18-hole score. She recently observed the performance of six golfers during one round of a tournament and measured, as accurately as possible, the distances (yards) of their drives and noted their final scores. She then computed each golfer's average drive distance for 18 holes. The results of her sample are shown below.
​ $$\begin{array} { c c c } 
\text { Golfer } & \begin{array} { c } 
\text { Avg. Drive } \
( \text { yards) }
\end{array} & \begin{array} { c } 
18 \text {-Hole } \
\text { Score }
\end{array} \
\hline 1 & 277.6 & 69 \
2 & 259.5 & 71 \
3 & 269.1 & 70 \
4 & 267.0 & 70 \
5 & 255.6 & 71 \
6 & 272.9 & 69 \
\hline
\end{array}$$ ​
Compute and interpret both the sample covariance and the sample correlation coefficient.
​

Quizplus · Accepted Answer

The Answer of Angela Lopez, a golf instructor, is interested in investigating the relationship between a golfer's average driving distance and 18-hole score. She recently observed the performance of six golfers during one round of a tournament and measured, as accurately as possible, the distances (yards) of their drives and noted their final scores. She then computed each golfer's average drive distance for 18 holes. The results of her sample are shown below.
​ $$\begin{array} { c c c } 
\text { Golfer } & \begin{array} { c } 
\text { Avg. Drive } \
( \text { yards) }
\end{array} & \begin{array} { c } 
18 \text {-Hole } \
\text { Score }
\end{array} \
\hline 1 & 277.6 & 69 \
2 & 259.5 & 71 \
3 & 269.1 & 70 \
4 & 267.0 & 70 \
5 & 255.6 & 71 \
6 & 272.9 & 69 \
\hline
\end{array}$$ ​
Compute and interpret both the sample covariance and the sample correlation coefficient.
​

Angela Lopez, a Golf Instructor, Is Interested in Investigating the Relationship