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28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.

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JeanaShupp

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]

Substituting given values, we get

[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]

[tex]=0.6291[/tex]

Therefore, the coefficient of determination = 0.6291

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