Answer:
A. The coefficient of determination is 0.743. 74.3% of the variation is explained by the linear correlation and 25.7% is explained by other factors.
Explanation:
The coefficient of determination is the percentage variation in y explained by all the x variables together.
It is the square of the correlation coefficient.
Using a regression calculator:
Thus:
[tex]\begin{gathered} \text{ The coefficient of determination}=r^2 \\ =0.8516^2 \\ =0.7252 \end{gathered}[/tex]
The closest result from the options is 0.743.
Therefore, the coefficient of determination is 0.743. 74.3% of the variation is explained by the linear correlation and 25.7% is explained by other factors.
Option A is correct.