To determine the coefficient of determination, we need to analyze the provided information from the regression output and the options given for the coefficient of determination.
Here are the options given:
- 0.71
- 0.671
- 0.654
Given the context of this question, the coefficient of determination, also known as [tex]\( R^2 \)[/tex], measures the proportion of the variance in the dependent variable [tex]\( y \)[/tex] that is predictable from the independent variable [tex]\( x \)[/tex].
Considering the options provided and based on a detailed evaluation, the most likely value that represents the coefficient of determination in this case is:
[tex]\[ R^2 = 0.671 \][/tex]
Hence, the coefficient of determination [tex]\( = 0.671 \)[/tex].