A Quadratic Regression Model Is Fit to a Set of Sample

question 66

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 29.73 and that the y-values are 11, 14, 19, 22, 26, 27, find $R ^ { 2 } = 1 - \frac { \Sigma ( y - \hat { y } ) ^ { 2 } } { \Sigma ( y - y ) ^ { 2 } } .$

• A) 0.144
• B) 0.88
• C) 0.856
• D) 0.844

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Definitions:

Authoritarianism

A form of government characterized by strong central power and limited political freedoms. Individual freedoms are subordinate to the state and there is no constitutional accountability under an authoritarian regime.

Oligarchy

A form of government where power effectively rests with a small number of people, distinguished by royalty, wealth, family ties, education, corporate, or military control.

Aristocracy

A class of people considered to have superior status or privileges, often inherited, based on noble lineage, wealth, or titles.

Direct Democracy

A form of democracy where the people vote on policies directly, rather than through elected representatives.