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:

Self-Fulfilling Prophecy

A self-fulfilling prophecy is an outlook or prediction that manifests into reality because of the interaction between belief and action.

Cultural Capital

A term coined by sociologist Pierre Bourdieu referring to non-financial social assets, like education, intellect, style of speech, or dress, that can promote social mobility.

Economic Capital

Financial assets and resources that an individual or organization possesses, which can be used to generate wealth or facilitate production.

Pierre Bourdieu

A French sociologist and public intellectual who significantly contributed to the understanding of power dynamics in society through concepts like cultural capital.