Find the Explained Variation for the Paired Data $\hat { y } = 6.18286 + 4.33937 x$

question 20

Multiple Choice

Find the explained variation for the paired data. The equation of the regression line for the paired data below is $\hat { y } = 6.18286 + 4.33937 x$ .
$\begin{array}{r|rrrrrrr}\boldsymbol{x} & 9 & 7 & 2 & 3 & 4 & 22 & 17 \\\hline \boldsymbol{y} & 43 & 35 & 16 & 21 & 23 & 102 & 81\end{array}$

• A) \(13.479\)
• B) \(6,531.37\)
• C) \(6,544.86\)
• D) \(6,421.83\)

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Definitions:

Syllogistic Steps

The procedural steps involved in forming or analyzing a syllogism, which is a form of reasoning involving two premises and a conclusion.

Objective

Relating to or denoting a way of judging or interpreting that is based on observable phenomena and uninfluenced by emotions or personal prejudices.

Empirical Evidence

Evidence that is based on observation or experience as opposed to theoretical or logical derivation.

Extended Argument

A complex form of reasoning that unfolds over a series of statements or propositions, each supporting the overall conclusion.