In the NHL, the correlation between "Goals scored per game" and "minutes on the ice" for a team of players is found to be 0.8178. Choose the statement that is true about the coefficient of determination.
A) When given as a percent, the coefficient of determination is always between 0 and 100%.
B) The coefficient of determination states that about 66.88% of the variation in goals scored per game is explained by minutes on the ice.
C) The coefficient of determination, $r ^ { 2 }$ , is equal to approximately 0.6688.
D) All of these are true statements.

Question

Quizplus · Accepted Answer

The coefficient of determination $r^2$ is calculated as $0.8178^2$, which is approximately 0.6688 or 66.88%. This means about 66.88% of the variation in goals scored per game is explained by minutes on the ice. All statements are true.

In the NHL, the Correlation Between "Goals Scored Per Game r2r ^ { 2 }r2

In the NHL, the Correlation Between "Goals Scored Per Game $r ^ { 2 }$