A Quadratic Regression Model Is Fit to a Set of Sample

question 26

Multiple Choice

A quadratic regression model is fit to a set of sample data consisting of 6 pairs of data. Given that the sum of squares of residuals is $16.02$ and that the $y$ -values are $11,14,19,22,26,27$ , find
$$R ^ { 2 } = 1 - \frac { \sum ( y - \hat { y } ) ^ { 2 } } { \sum ( y - \bar { y } ) ^ { 2 } } .$$

• A) \(0.077\)
• B) \(0.935\)
• C) \(0.916\)
• D) \(0.923\)

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Definitions:

Alkyl Iodide

A chemical compound characterized by an alkyl group bonded to an iodine atom, used in organic synthesis.

E2 Elimination

A bimolecular elimination reaction where the removal of a hydrogen atom and a leaving group from adjacent carbon atoms occurs simultaneously.

Organic Product

A compound or substance that has been derived from living matter, typically containing carbon atoms in its molecular structure.

Sodium Ethoxide

A strong base formed from the reaction of ethanol and sodium, often used as a reagent in organic synthesis.